Subgroups — #31763849

Order 17152.

7998 conjugacy classes of subgroups.

The subgroup lattice has 2778 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22574261	C₂	1	1	yes	maximal, characteristic, complemented
2	#22574259	C₂	1	1	yes	maximal, characteristic, complemented
3	#22574251	C₂	1	2	yes	maximal, complemented
4	#22574240	C₂	1	1	yes	maximal, characteristic, complemented
5	#22574238	C₂	1	2	yes	maximal, complemented
6	#22574232	C₂	1	1	yes	maximal, characteristic, complemented
7	#22574144	C₂	1	2	yes	maximal, complemented
8	#22574142	C₂	1	4	yes	maximal, complemented
9	#22574134	C₂	1	2	yes	maximal, complemented
10	#22574059	C₂	1	1	yes	maximal, characteristic, complemented
11	#22574053	C₂	1	1	yes	maximal, characteristic, complemented
12	#22574045	C₂	1	2	yes	maximal, complemented
13	#22574036	C₂	1	2	yes	maximal, complemented
14	#22574004	C₂	1	1	yes	maximal, characteristic, complemented
15	#22573965	C₂	1	1	yes	maximal, characteristic, complemented
16	#22573911	C₂	1	2	yes	maximal, complemented
17	#22573891	C₂	1	4	yes	maximal, complemented
18	#22573837	C₂	1	2	yes	maximal, complemented
19	#22573817	C₂	1	2	yes	maximal, complemented
20	#22573813	C₂	1	2	yes	maximal, complemented
21	#22573811	C₂	1	4	yes	maximal, complemented
22	#22573773	C₂	1	1	yes	maximal, characteristic, complemented
23	#22573769	C₂	1	2	yes	maximal, complemented
24	#22573767	C₂	1	1	yes	maximal, characteristic, complemented
25	#22573695	C₂	1	1	yes	maximal, characteristic, complemented
26	#41×C₂²⋊D₆₇	C₂	1	2	yes	maximal, complemented
27	#22573623	C₂	1	2	yes	maximal, complemented
28	#22573616	C₂	1	4	yes	maximal, complemented
29	#22573504	C₂	1	1	yes	maximal, characteristic, complemented
30	#22573502	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#16863903	C₂	1	2	yes	maximal, complemented
32	#525×D₆₇	C₂	1	2	yes	maximal, complemented
33	C₄×#14524088	C₂	1	2	yes	maximal, complemented
34	C₂×C₄×D₄×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
35	D₄×#41×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
36	C₂×#14524088	C₂²	1	2	yes	—
37	C₂×#41×D₆₇	C₂²	1	2	yes	complemented
38	C₂²×D₄×D₆₇	C₂²	1	1	yes	characteristic
39	C₂³×C₄×D₆₇	C₂²	1	2	yes	complemented
40	#16864132	C₂²	1	2	yes	complemented
41	#16864130	C₂²	1	4	yes	complemented
42	#16864129	C₂²	1	2	yes	complemented
43	#16864119	C₂²	1	1	yes	characteristic, complemented
44	#16864117	C₂²	1	2	yes	complemented
45	#16864116	C₂²	1	1	yes	characteristic, complemented
46	#16864111	C₂²	1	1	yes	characteristic, complemented
47	#16864111	C₂²	1	1	yes	characteristic, complemented
48	#16864110	C₂²	1	2	yes	complemented
49	#16864107	C₂²	1	2	yes	complemented
50	#16864107	C₂²	1	2	yes	complemented
51	#16864106	C₂²	1	1	yes	characteristic, complemented
52	#16864105	C₂²	1	2	yes	complemented
53	#16864104	C₂²	1	2	yes	complemented
54	#16864103	C₂²	1	1	yes	characteristic, complemented
55	#16864101	C₂²	1	2	yes	complemented
56	#16864100	C₂²	1	4	yes	complemented
57	#16864100	C₂²	1	4	yes	complemented
58	#16864098	C₂²	1	2	yes	complemented
59	#16864096	C₂²	1	2	yes	complemented
60	#16864096	C₂²	1	2	yes	complemented
61	#16864095	C₂²	1	4	yes	complemented
62	#16864094	C₂²	1	2	yes	complemented
63	#16864093	C₂²	1	2	yes	complemented
64	#16864093	C₂²	1	2	yes	complemented
65	#16864093	C₂²	1	4	yes	complemented
66	#16864093	C₂²	1	2	yes	complemented
67	#16864092	C₂²	1	2	yes	complemented
68	#16864091	C₂²	1	4	yes	complemented
69	#16864091	C₂²	1	4	yes	complemented
70	#16864089	C₂²	1	4	yes	complemented
71	#16864089	C₂²	1	4	yes	complemented
72	#16864088	C₂²	1	2	yes	complemented
73	#16864087	C₂²	1	2	yes	complemented
74	#16864086	C₂²	1	2	yes	complemented
75	#16864086	C₂²	1	2	yes	complemented
76	#16864083	C₂²	1	4	yes	complemented
77	#16864081	C₂²	1	2	yes	complemented
78	#16864080	C₂²	1	2	yes	complemented
79	#16864077	C₂²	1	4	yes	complemented
80	#16864077	C₂²	1	4	yes	complemented
81	#16864076	C₂²	1	4	yes	complemented
82	#16864076	C₂²	1	4	yes	complemented
83	#16864075	C₂²	1	4	yes	complemented
84	#16864075	C₂²	1	4	yes	complemented
85	#16864074	C₂²	1	4	yes	complemented
86	#16864073	C₂²	1	4	yes	complemented
87	#16864073	C₂²	1	4	yes	complemented
88	#16864072	C₂²	1	4	yes	complemented
89	#16864072	C₂²	1	4	yes	complemented
90	#16864069	C₂²	1	4	yes	complemented
91	#16864066	C₂²	1	1	yes	characteristic, complemented
92	#16864065	C₂²	1	2	yes	complemented
93	#16864061	C₂²	1	1	yes	characteristic, complemented
94	Q₈×C₂²⋊D₆₇	C₂²	1	2	yes	complemented
95	#16864057	C₂²	1	2	yes	complemented
96	#16864054	C₂²	1	2	yes	complemented
97	#16864053	C₂²	1	2	yes	complemented
98	#16864051	C₂²	1	1	yes	characteristic, complemented
99	#16864050	C₂²	1	1	yes	characteristic, complemented
100	#16864049	C₂²	1	1	yes	characteristic, complemented
101	#16864046	C₂²	1	2	yes	complemented
102	#16864046	C₂²	1	2	yes	complemented
103	#16864045	C₂²	1	4	yes	complemented
104	#16864045	C₂²	1	2	yes	complemented
105	#16864043	C₂²	1	2	yes	complemented
106	#16864043	C₂²	1	4	yes	complemented
107	#16864043	C₂²	1	2	yes	complemented
108	#16864042	C₂²	1	2	yes	complemented
109	#16864041	C₂²	1	2	yes	complemented
110	#16864040	C₂²	1	2	yes	complemented
111	#16864040	C₂²	1	4	yes	complemented
112	#16864040	C₂²	1	2	yes	complemented
113	#16864040	C₂²	1	2	yes	complemented
114	#16864039	C₂²	1	2	yes	complemented
115	#16864036	C₂²	1	4	yes	complemented
116	#16864035	C₂²	1	4	yes	complemented
117	#16864035	C₂²	1	4	yes	complemented
118	#16864035	C₂²	1	4	yes	complemented
119	#16864034	C₂²	1	4	yes	complemented
120	#16864034	C₂²	1	2	yes	complemented
121	#16864033	C₂²	1	4	yes	complemented
122	#16864033	C₂²	1	4	yes	complemented
123	#16864033	C₂²	1	4	yes	complemented
124	#16864031	C₂²	1	2	yes	complemented
125	#16864031	C₂²	1	1	yes	characteristic, complemented
126	#16864030	C₂²	1	2	yes	complemented
127	D₄×C₂²⋊D₆₇	C₂²	1	4	yes	complemented
128	D₄×C₂²⋊D₆₇	C₂²	1	2	yes	complemented
129	D₄×C₂²⋊D₆₇	C₂²	1	2	yes	complemented
130	#16864028	C₂²	1	4	yes	complemented
131	#16864023	C₂²	1	2	yes	complemented
132	#16864021	C₂²	1	4	yes	complemented
133	#16864020	C₂²	1	2	yes	complemented
134	#16864013	C₂²	1	2	yes	complemented
135	#16864010	C₂²	1	4	yes	complemented
136	#16864000	C₂²	1	2	yes	complemented
137	#16863999	C₂²	1	2	yes	complemented
138	#16863996	C₂²	1	4	yes	complemented
139	#16863995	C₂²	1	4	yes	complemented
140	#16863992	C₂²	1	4	yes	complemented
141	#16863992	C₂²	1	4	yes	complemented
142	#16863991	C₂²	1	4	yes	complemented
143	#16863989	C₂²	1	4	yes	complemented
144	#16863989	C₂²	1	4	yes	complemented
145	#16863982	C₂²	1	4	yes	complemented
146	#16863982	C₂²	1	4	yes	complemented
147	#16863981	C₂²	1	4	yes	complemented
148	#16863981	C₂²	1	4	yes	complemented
149	#16863980	C₂²	1	4	yes	complemented
150	#16863978	C₂²	1	4	yes	complemented
151	#16863978	C₂²	1	4	yes	complemented
152	#16863978	C₂²	1	4	yes	complemented
153	#16863975	C₂²	1	2	yes	complemented
154	#16863962	C₂²	1	2	yes	complemented
155	#16863959	C₂²	1	2	yes	complemented
156	#16863956	C₂²	1	4	yes	complemented
157	#16863956	C₂²	1	4	yes	complemented
158	#16863954	C₂²	1	4	yes	complemented
159	#16863953	C₂²	1	1	yes	characteristic, complemented
160	#16863951	C₂²	1	1	yes	characteristic, complemented
161	#16863951	C₂²	1	1	yes	characteristic, complemented
162	#16863950	C₂²	1	1	yes	characteristic, complemented
163	#16863950	C₂²	1	1	yes	characteristic, complemented
164	#16863949	C₂²	1	1	yes	characteristic, complemented
165	#16863944	C₂²	1	1	yes	characteristic, complemented
166	#16863944	C₂²	1	1	yes	characteristic, complemented
167	#16863943	C₂²	1	1	yes	characteristic, complemented
168	#16863943	C₂²	1	1	yes	characteristic, complemented
169	#16863943	C₂²	1	2	yes	complemented
170	#16863942	C₂²	1	1	yes	characteristic, complemented
171	#16863942	C₂²	1	4	yes	complemented
172	#16863933	C₂²	1	1	yes	characteristic, complemented
173	#16863933	C₂²	1	1	yes	characteristic, complemented
174	#16863930	C₂²	1	2	yes	complemented
175	#16863928	C₂²	1	2	yes	complemented
176	#16863928	C₂²	1	2	yes	complemented
177	#16863928	C₂²	1	1	yes	characteristic, complemented
178	#16863928	C₂²	1	1	yes	characteristic, complemented
179	#16863928	C₂²	1	2	yes	complemented
180	#16863928	C₂²	1	4	yes	complemented
181	#16863927	C₂²	1	2	yes	complemented
182	#16863927	C₂²	1	2	yes	complemented
183	#16863926	C₂²	1	2	yes	complemented
184	#16863926	C₂²	1	2	yes	complemented
185	#16863926	C₂²	1	4	yes	complemented
186	#16863926	C₂²	1	4	yes	complemented
187	#16863926	C₂²	1	4	yes	complemented
188	#16863925	C₂²	1	2	yes	complemented
189	#16863925	C₂²	1	2	yes	complemented
190	#16863924	C₂²	1	2	yes	complemented
191	#16863924	C₂²	1	2	yes	complemented
192	#16863924	C₂²	1	4	yes	complemented
193	#16863909	C₂²	1	2	yes	complemented
194	#16863909	C₂²	1	2	yes	complemented
195	#16863908	C₂²	1	1	yes	characteristic, complemented
196	#16863907	C₂²	1	2	yes	complemented
197	#16863907	C₂²	1	4	yes	complemented
198	#16863906	C₂²	1	2	yes	complemented
199	#16863906	C₂²	1	2	yes	complemented
200	#16863906	C₂²	1	2	yes	complemented
201	#16863906	C₂²	1	2	yes	complemented
202	#16863905	C₂²	1	2	yes	complemented
203	#16863905	C₂²	1	2	yes	complemented
204	#16863905	C₂²	1	4	yes	complemented
205	#16863905	C₂²	1	4	yes	complemented
206	#16863905	C₂²	1	4	yes	complemented
207	#16863904	C₂²	1	4	yes	complemented
208	#16863903	C₂²	1	4	yes	complemented
209	#16863903	C₂²	1	2	yes	complemented
210	#16863903	C₂²	1	1	yes	characteristic, complemented
211	#16863903	C₂²	1	4	yes	complemented
212	#16863903	C₂²	1	2	yes	complemented
213	#16863903	C₂²	1	2	yes	complemented
214	#16863903	C₂²	1	4	yes	complemented
215	#16863903	C₂²	1	2	yes	complemented
216	#16863903	C₂²	1	2	yes	complemented
217	#16863903	C₂²	1	2	yes	complemented
218	#16863903	C₂²	1	2	yes	complemented
219	#16863903	C₂²	1	4	yes	complemented
220	#16863903	C₂²	1	4	yes	complemented
221	#16863902	C₂²	1	4	yes	complemented
222	C₂×#14524024	C₂²	1	4	yes	complemented
223	#123×D₆₇	C₂²	1	4	yes	complemented
224	C₂×#14524019	C₂²	1	2	yes	complemented
225	C₂×#14524019	C₂²	1	2	yes	complemented
226	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
227	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
228	C₂×#14524014	C₂²	1	2	yes	complemented
229	C₂×#14524014	C₂²	1	2	yes	complemented
230	#121×D₆₇	C₂²	1	2	yes	complemented
231	#121×D₆₇	C₂²	1	2	yes	complemented
232	C₂×#14524011	C₂²	1	4	yes	complemented
233	#120×D₆₇	C₂²	1	4	yes	complemented
234	#16863877	C₂²	1	2	yes	complemented
235	#16863877	C₂²	1	2	yes	complemented
236	#16863875	C₂²	1	2	yes	complemented
237	#16863875	C₂²	1	2	yes	complemented
238	#16863875	C₂²	1	4	yes	complemented
239	#16863871	C₂²	1	2	yes	complemented
240	#16863869	C₂²	1	4	yes	complemented
241	#16863869	C₂²	1	4	yes	complemented
242	#16863868	C₂²	1	2	yes	—
243	#16863868	C₂²	1	4	yes	complemented
244	#16863868	C₂²	1	2	yes	complemented
245	#41×Dic₆₇	C₂²	1	2	yes	complemented
246	C₄×#11761628	C₂²	1	1	yes	characteristic, complemented
247	C₄×#11761628	C₂²	1	2	yes	complemented
248	C₄×#11761628	C₂²	1	2	yes	complemented
249	C₄×#11761628	C₂²	1	2	yes	complemented
250	C₄×#11761627	C₂²	1	2	yes	complemented
251	C₄×#11761627	C₂²	1	2	yes	complemented
252	C₄×#11761627	C₂²	1	2	yes	complemented
253	C₄×#11761627	C₂²	1	4	yes	complemented
254	C₂×C₄×D₂₆₈	C₂²	1	1	yes	characteristic, complemented
255	C₂×D₄×Dic₆₇	C₂²	1	1	yes	characteristic, complemented
256	C₂×#14524005	C₂²	1	1	yes	characteristic, complemented
257	C₂×C₄×C₂²⋊D₆₇	C₂²	1	2	yes	complemented
258	C₂×C₄×C₂²⋊D₆₇	C₂²	1	4	yes	complemented
259	C₂×C₄×C₂²⋊D₆₇	C₂²	1	4	yes	complemented
260	C₂×C₄×C₂²⋊D₆₇	C₂²	1	4	yes	complemented
261	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	2	yes	complemented
262	C₄×D₄×D₆₇	C₂²	1	1	yes	characteristic
263	C₄×D₄×D₆₇	C₂²	1	1	yes	characteristic
264	C₄×D₄×D₆₇	C₂²	1	2	yes	complemented
265	C₄×D₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
266	C₄×D₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
267	C₄×D₄×D₆₇	C₂²	1	2	yes	complemented
268	C₄×D₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
269	C₄×D₄×D₆₇	C₂²	1	2	yes	complemented
270	C₄×D₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
271	C₄×D₄×D₆₇	C₂²	1	2	yes	complemented
272	C₄×D₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
273	C₄×D₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
274	C₄×D₄×D₆₇	C₂²	1	4	yes	complemented
275	C₄×D₄×D₆₇	C₂²	1	4	yes	complemented
276	C₄×D₄×D₆₇	C₂²	1	2	yes	complemented
277	C₂×#14524002	C₂²	1	2	yes	complemented
278	#117×D₆₇	C₂²	1	2	yes	complemented
279	C₂×C₄⋊C₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
280	C₂×C₂²⋊C₄×D₆₇	C₂²	1	2	yes	complemented
281	C₂×C₄²×D₆₇	C₂²	1	1	yes	characteristic, complemented
282	C₂²×#41×C₆₇	C₂²	1	2	yes	complemented
283	#550×C₆₇	C₂²	1	1	yes	characteristic, complemented
284	D₄×Q₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
285	#548×C₆₇	C₂²	1	2	yes	complemented
286	#547×C₆₇	C₂²	1	2	yes	complemented
287	#547×C₆₇	C₂²	1	1	yes	characteristic, complemented
288	#546×C₆₇	C₂²	1	4	yes	complemented
289	#546×C₆₇	C₂²	1	2	yes	complemented
290	D₄²×C₆₇	C₂²	1	2	yes	complemented
291	D₄²×C₆₇	C₂²	1	1	yes	characteristic, complemented
292	#532×C₆₇	C₂²	1	1	yes	characteristic, complemented
293	#532×C₆₇	C₂²	1	2	yes	complemented
294	#525×C₆₇	C₂²	1	2	yes	complemented
295	#525×C₆₇	C₂²	1	4	yes	complemented
296	C₄×#41×C₆₇	C₂²	1	1	yes	characteristic, complemented
297	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
298	C₂×C₄×D₄×C₆₇	C₂²	1	2	yes	complemented
299	C₂⁴×D₆₇	C₂³	1	2	yes	—
300	#14524088	—	2	16	no	—
301	C₂×#11761629	C₂³	1	2	yes	complemented
302	C₂×#11761628	C₂³	1	2	yes	—
303	C₂×#11761628	C₂³	1	2	yes	—
304	C₂×#11761628	C₂³	1	1	yes	characteristic
305	C₂×#11761628	C₂³	1	2	yes	—
306	C₂×#11761628	C₂³	1	4	yes	complemented
307	C₂×#11761627	C₂³	1	4	yes	—
308	C₂×#11761627	C₂³	1	2	yes	—
309	C₂×#11761627	C₂³	1	2	yes	—
310	C₂×#11761627	C₂³	1	2	yes	—
311	C₂×#11761627	C₂³	1	4	yes	—
312	C₂×#11761627	C₂³	1	2	yes	complemented
313	#41×D₆₇	—	4	8	no	—
314	C₂×Q₈×D₆₇	C₂³	1	2	yes	complemented
315	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
316	C₂²×C₂²⋊D₆₇	C₂³	1	4	yes	—
317	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
318	C₂²×C₂²⋊D₆₇	C₂³	1	4	yes	—
319	C₂²×C₂²⋊D₆₇	C₂³	1	4	yes	—
320	C₂×D₄×D₆₇	—	2	8	no	—
321	C₂×D₄×D₆₇	C₂³	1	2	yes	—
322	C₂×D₄×D₆₇	C₂³	1	1	yes	characteristic
323	C₂×D₄×D₆₇	C₂³	1	2	yes	—
324	C₂×D₄×D₆₇	C₂³	1	1	yes	characteristic
325	C₂×D₄×D₆₇	C₂³	1	2	yes	—
326	C₂×D₄×D₆₇	C₂³	1	1	yes	characteristic
327	C₂×D₄×D₆₇	C₂³	1	4	yes	—
328	C₂×D₄×D₆₇	C₂³	1	4	yes	—
329	C₂×D₄×D₆₇	C₂³	1	4	yes	—
330	C₂×D₄×D₆₇	C₂³	1	1	yes	characteristic
331	C₂×D₄×D₆₇	C₂³	1	2	yes	complemented
332	C₂³×Dic₆₇	C₂³	1	2	yes	—
333	C₂²×C₄×D₆₇	—	4	8	no	—
334	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
335	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
336	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
337	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
338	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
339	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
340	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
341	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
342	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
343	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
344	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
345	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
346	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
347	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
348	C₂²×C₄×D₆₇	C₂³	1	4	yes	complemented
349	#14524043	C₂³	1	1	yes	characteristic, complemented
350	#14524043	C₂³	1	1	yes	characteristic, complemented
351	#14524042	C₂³	1	2	yes	complemented
352	#14524042	C₂³	1	1	yes	characteristic, complemented
353	#14524042	C₂³	1	1	yes	characteristic, complemented
354	#14524041	C₂³	1	4	yes	complemented
355	#14524041	C₂³	1	1	yes	characteristic, complemented
356	#14524039	C₂³	1	4	yes	—
357	#14524039	C₂³	1	2	yes	—
358	#14524039	C₂³	1	1	yes	characteristic, complemented
359	#14524038	C₂³	1	4	yes	complemented
360	#14524038	C₂³	1	4	yes	complemented
361	#14524038	C₂³	1	2	yes	complemented
362	#14524038	C₂³	1	4	yes	complemented
363	#14524038	C₂³	1	4	yes	complemented
364	#14524038	C₂³	1	2	yes	complemented
365	#14524037	C₂³	1	4	yes	complemented
366	#14524036	C₂³	1	4	yes	complemented
367	#14524036	C₂³	1	4	yes	complemented
368	#14524036	C₂³	1	4	yes	complemented
369	#14524036	C₂³	1	4	yes	complemented
370	#14524036	C₂³	1	4	yes	complemented
371	#14524036	C₂³	1	4	yes	complemented
372	#14524036	C₂³	1	4	yes	complemented
373	#14524036	C₂³	1	2	yes	complemented
374	#14524036	C₂³	1	4	yes	complemented
375	#14524036	C₂³	1	2	yes	complemented
376	#14524036	C₂³	1	4	yes	complemented
377	#14524035	C₂³	1	2	yes	complemented
378	#14524035	C₂³	1	2	yes	complemented
379	#14524034	C₂³	1	2	yes	complemented
380	#14524034	C₂³	1	1	yes	characteristic, complemented
381	#14524034	C₂³	1	4	yes	complemented
382	#14524034	C₂³	1	1	yes	characteristic, complemented
383	#14524034	C₂³	1	2	yes	complemented
384	#14524034	C₂³	1	2	yes	complemented
385	#14524033	C₂³	1	4	yes	complemented
386	#14524033	C₂³	1	4	yes	complemented
387	#14524033	C₂³	1	4	yes	complemented
388	#14524033	C₂³	1	4	yes	complemented
389	#14524033	C₂³	1	2	yes	complemented
390	#14524033	C₂³	1	2	yes	complemented
391	#14524032	C₂³	1	4	yes	complemented
392	#14524032	C₂³	1	1	yes	characteristic, complemented
393	#14524031	C₂³	1	2	yes	—
394	#14524030	C₂³	1	2	yes	—
395	#14524030	C₂³	1	4	yes	complemented
396	#14524030	C₂³	1	1	yes	characteristic, complemented
397	#14524030	C₂³	1	2	yes	complemented
398	#14524030	C₂³	1	4	yes	complemented
399	#14524030	C₂³	1	2	yes	complemented
400	#14524029	C₂³	1	4	yes	—
401	#14524029	C₂³	1	4	yes	complemented
402	#14524029	C₂³	1	2	yes	complemented
403	#14524029	C₂³	1	4	yes	complemented
404	#14524029	C₂³	1	4	yes	complemented
405	#14524029	C₂³	1	4	yes	complemented
406	#14524029	C₂³	1	2	yes	complemented
407	#14524028	C₂³	1	2	yes	—
408	#14524028	C₂³	1	4	yes	—
409	#14524028	C₂³	1	2	yes	—
410	#14524028	C₂³	1	4	yes	complemented
411	#14524028	C₂³	1	4	yes	complemented
412	#14524028	C₂³	1	4	yes	complemented
413	#14524027	C₂³	1	4	yes	—
414	#14524027	C₂³	1	2	yes	—
415	#14524027	C₂³	1	4	yes	complemented
416	#14524027	C₂³	1	4	yes	complemented
417	#14524026	C₂³	1	4	yes	—
418	#14524026	C₂³	1	4	yes	complemented
419	#14524026	C₂³	1	4	yes	complemented
420	#14524026	C₂³	1	4	yes	complemented
421	#14524025	C₂³	1	2	yes	—
422	#14524025	C₂³	1	4	yes	—
423	#14524025	C₂³	1	4	yes	—
424	#14524025	C₂³	1	2	yes	—
425	#14524025	C₂³	1	4	yes	—
426	#14524025	C₂³	1	4	yes	complemented
427	#14524025	C₂³	1	4	yes	complemented
428	#14524025	C₂³	1	4	yes	complemented
429	#14524025	C₂³	1	4	yes	complemented
430	#14524025	C₂³	1	4	yes	complemented
431	#14524025	C₂³	1	4	yes	complemented
432	#14524024	C₂³	1	4	yes	—
433	#14524024	C₂³	1	4	yes	—
434	#14524024	C₂³	1	4	yes	—
435	#14524024	C₂³	1	4	yes	—
436	#14524024	C₂³	1	2	yes	—
437	#14524024	C₂³	1	4	yes	complemented
438	#14524024	C₂³	1	4	yes	complemented
439	#14524024	C₂³	1	4	yes	complemented
440	#14524024	C₂³	1	4	yes	complemented
441	#14524024	C₂³	1	4	yes	complemented
442	#14524024	C₂³	1	4	yes	complemented
443	#14524024	C₂³	1	4	yes	complemented
444	#14524024	C₂³	1	4	yes	complemented
445	#14524023	C₂³	1	2	yes	—
446	#14524023	C₂³	1	2	yes	—
447	#14524023	C₂³	1	1	yes	characteristic
448	#14524023	C₂³	1	1	yes	characteristic
449	#14524023	C₂³	1	2	yes	complemented
450	#14524023	C₂³	1	4	yes	complemented
451	#14524022	C₂³	1	2	yes	—
452	#14524022	C₂³	1	2	yes	—
453	#14524022	C₂³	1	2	yes	complemented
454	#14524022	C₂³	1	4	yes	complemented
455	#14524022	C₂³	1	2	yes	complemented
456	#14524022	C₂³	1	4	yes	complemented
457	#14524022	C₂³	1	2	yes	complemented
458	#14524021	C₂³	1	2	yes	—
459	#14524021	C₂³	1	4	yes	—
460	#14524021	C₂³	1	2	yes	—
461	#14524021	C₂³	1	4	yes	—
462	#14524021	C₂³	1	4	yes	complemented
463	#14524021	C₂³	1	4	yes	complemented
464	#14524020	C₂³	1	2	yes	—
465	#14524020	C₂³	1	2	yes	—
466	#14524020	C₂³	1	4	yes	complemented
467	#14524020	C₂³	1	4	yes	complemented
468	#14524020	C₂³	1	4	yes	complemented
469	#14524020	C₂³	1	4	yes	complemented
470	#14524020	C₂³	1	4	yes	complemented
471	#14524020	C₂³	1	4	yes	complemented
472	#14524019	C₂³	1	4	yes	—
473	#14524019	C₂³	1	4	yes	—
474	#14524019	C₂³	1	2	yes	—
475	#14524019	C₂³	1	2	yes	—
476	#14524019	C₂³	1	1	yes	characteristic
477	#14524019	C₂³	1	1	yes	characteristic
478	#14524019	C₂³	1	4	yes	complemented
479	#14524019	C₂³	1	4	yes	complemented
480	#14524019	C₂³	1	2	yes	complemented
481	#14524019	C₂³	1	2	yes	complemented
482	#14524019	C₂³	1	4	yes	complemented
483	#14524019	C₂³	1	2	yes	complemented
484	#14524019	C₂³	1	2	yes	complemented
485	#14524019	C₂³	1	4	yes	complemented
486	#14524018	C₂³	1	2	yes	—
487	#14524018	C₂³	1	1	yes	characteristic
488	#14524018	C₂³	1	1	yes	characteristic
489	#14524017	C₂³	1	4	yes	—
490	#14524017	C₂³	1	2	yes	—
491	#14524017	C₂³	1	2	yes	complemented
492	#14524017	C₂³	1	4	yes	complemented
493	#14524017	C₂³	1	2	yes	complemented
494	#14524016	C₂³	1	2	yes	—
495	#14524016	C₂³	1	4	yes	—
496	#14524016	C₂³	1	4	yes	—
497	#14524016	C₂³	1	4	yes	—
498	#14524016	C₂³	1	4	yes	—
499	#14524016	C₂³	1	2	yes	—
500	#14524016	C₂³	1	4	yes	complemented
501	#14524015	C₂³	1	4	yes	—
502	#14524015	C₂³	1	4	yes	—
503	#14524015	C₂³	1	4	yes	—
504	#14524015	C₂³	1	2	yes	—
505	#14524015	C₂³	1	4	yes	—
506	#14524015	C₂³	1	2	yes	—
507	#14524015	C₂³	1	4	yes	complemented
508	#14524015	C₂³	1	4	yes	complemented
509	#14524015	C₂³	1	4	yes	complemented
510	#14524015	C₂³	1	4	yes	complemented
511	#14524015	C₂³	1	4	yes	complemented
512	#14524015	C₂³	1	4	yes	complemented
513	#14524014	C₂³	1	2	yes	—
514	#14524014	C₂³	1	2	yes	—
515	#14524014	C₂³	1	4	yes	—
516	#14524014	C₂³	1	4	yes	—
517	#14524014	C₂³	1	4	yes	—
518	#14524014	C₂³	1	2	yes	—
519	#14524014	C₂³	1	2	yes	—
520	#14524014	C₂³	1	1	yes	characteristic
521	#14524014	C₂³	1	1	yes	characteristic
522	#14524014	C₂³	1	4	yes	—
523	#14524014	C₂³	1	2	yes	—
524	#14524014	C₂³	1	2	yes	complemented
525	#14524014	C₂³	1	2	yes	complemented
526	#14524014	C₂³	1	2	yes	complemented
527	#14524014	C₂³	1	4	yes	complemented
528	#14524014	C₂³	1	2	yes	complemented
529	#14524014	C₂³	1	4	yes	complemented
530	#14524014	C₂³	1	2	yes	complemented
531	#14524014	C₂³	1	4	yes	complemented
532	#14524013	C₂³	1	4	yes	—
533	#14524013	C₂³	1	4	yes	—
534	#14524013	C₂³	1	2	yes	—
535	#14524013	C₂³	1	4	yes	—
536	#14524012	C₂³	1	4	yes	—
537	#14524012	C₂³	1	4	yes	—
538	#14524012	C₂³	1	4	yes	complemented
539	#14524011	C₂³	1	4	yes	—
540	#14524011	C₂³	1	4	yes	—
541	#14524011	C₂³	1	4	yes	—
542	#14524011	C₂³	1	4	yes	—
543	#14524011	C₂³	1	4	yes	—
544	#14524011	C₂³	1	4	yes	—
545	#14524011	C₂³	1	4	yes	—
546	#14524011	C₂³	1	4	yes	—
547	#14524011	C₂³	1	2	yes	—
548	#14524011	C₂³	1	4	yes	—
549	#14524011	C₂³	1	4	yes	—
550	#14524011	C₂³	1	4	yes	complemented
551	#14524011	C₂³	1	4	yes	complemented
552	Q₈×Dic₆₇	C₂³	1	2	yes	complemented
553	Q₈×Dic₆₇	C₂³	1	2	yes	complemented
554	C₄×Dic₁₃₄	C₂³	1	2	yes	complemented
555	C₄×Dic₁₃₄	C₂³	1	1	yes	characteristic, complemented
556	C₄×Dic₁₃₄	C₂³	1	1	yes	characteristic, complemented
557	C₄×Dic₁₃₄	C₂³	1	2	yes	complemented
558	C₄×Dic₁₃₄	C₂³	1	2	yes	complemented
559	C₄×Dic₁₃₄	C₂³	1	2	yes	complemented
560	C₄×Dic₁₃₄	C₂³	1	2	yes	complemented
561	C₄×Dic₁₃₄	C₂³	1	2	yes	complemented
562	C₄×Dic₁₃₄	C₂³	1	2	yes	complemented
563	#14524008	C₂³	1	2	yes	complemented
564	#14524008	C₂³	1	2	yes	complemented
565	#14524008	C₂³	1	4	yes	complemented
566	#14524008	C₂³	1	2	yes	complemented
567	C₄×D₂₆₈	C₂³	1	2	yes	—
568	C₄×D₂₆₈	C₂³	1	2	yes	—
569	C₄×D₂₆₈	C₂³	1	1	yes	characteristic
570	C₄×D₂₆₈	C₂³	1	2	yes	—
571	C₄×D₂₆₈	C₂³	1	1	yes	characteristic
572	C₄×D₂₆₈	C₂³	1	1	yes	characteristic
573	C₄×D₂₆₈	C₂³	1	2	yes	—
574	C₄×D₂₆₈	C₂³	1	1	yes	characteristic
575	C₄×D₂₆₈	C₂³	1	2	yes	—
576	C₄×D₂₆₈	C₂³	1	2	yes	—
577	C₄×D₂₆₈	C₂³	1	2	yes	—
578	C₄×D₂₆₈	C₂³	1	1	yes	characteristic, complemented
579	C₄×D₂₆₈	C₂³	1	1	yes	characteristic, complemented
580	D₄×Dic₆₇	C₂³	1	1	yes	characteristic
581	D₄×Dic₆₇	C₂³	1	4	yes	—
582	D₄×Dic₆₇	C₂³	1	2	yes	—
583	D₄×Dic₆₇	C₂³	1	4	yes	—
584	D₄×Dic₆₇	C₂³	1	1	yes	characteristic
585	D₄×Dic₆₇	C₂³	1	2	yes	—
586	D₄×Dic₆₇	C₂³	1	1	yes	characteristic
587	D₄×Dic₆₇	C₂³	1	1	yes	characteristic
588	D₄×Dic₆₇	C₂³	1	2	yes	—
589	D₄×Dic₆₇	C₂³	1	2	yes	complemented
590	D₄×Dic₆₇	C₂³	1	2	yes	complemented
591	D₄×Dic₆₇	C₂³	1	2	yes	complemented
592	D₄×Dic₆₇	C₂³	1	4	yes	complemented
593	D₄×Dic₆₇	C₂³	1	2	yes	complemented
594	D₄×Dic₆₇	C₂³	1	2	yes	complemented
595	D₄×Dic₆₇	C₂³	1	4	yes	complemented
596	D₄×Dic₆₇	C₂³	1	4	yes	complemented
597	#14524005	C₂³	1	1	yes	characteristic
598	#14524005	C₂³	1	2	yes	—
599	#14524005	C₂³	1	1	yes	characteristic
600	#14524005	C₂³	1	4	yes	—
601	#14524005	C₂³	1	2	yes	—
602	#14524005	C₂³	1	1	yes	characteristic
603	#14524005	C₂³	1	1	yes	characteristic
604	#14524005	C₂³	1	2	yes	—
605	#14524005	C₂³	1	4	yes	—
606	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	—
607	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
608	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
609	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
610	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
611	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
612	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	—
613	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	—
614	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
615	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
616	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
617	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
618	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
619	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
620	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	—
621	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	—
622	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
623	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
624	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	—
625	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	—
626	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
627	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
628	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	complemented
629	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
630	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
631	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
632	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
633	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
634	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
635	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
636	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
637	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
638	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	complemented
639	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
640	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
641	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
642	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
643	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	complemented
644	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	complemented
645	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	—
646	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
647	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
648	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	—
649	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
650	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	—
651	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	—
652	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	—
653	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	—
654	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	—
655	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	—
656	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
657	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
658	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
659	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
660	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
661	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
662	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
663	#14524002	C₂³	1	4	yes	—
664	#14524002	C₂³	1	2	yes	—
665	#14524002	C₂³	1	1	yes	characteristic
666	#14524002	C₂³	1	2	yes	complemented
667	#14524002	C₂³	1	2	yes	complemented
668	#14524002	C₂³	1	2	yes	complemented
669	#14524002	C₂³	1	2	yes	complemented
670	#14524002	C₂³	1	2	yes	complemented
671	#14524002	C₂³	1	4	yes	complemented
672	#14524002	C₂³	1	4	yes	complemented
673	#14524001	C₂³	1	2	yes	—
674	#14524001	C₂³	1	2	yes	—
675	#14524001	C₂³	1	4	yes	complemented
676	#14524001	C₂³	1	2	yes	complemented
677	#14524001	C₂³	1	2	yes	complemented
678	#14524001	C₂³	1	2	yes	complemented
679	#14524000	C₂³	1	2	yes	—
680	#14524000	C₂³	1	2	yes	—
681	#14524000	C₂³	1	2	yes	complemented
682	#14524000	C₂³	1	4	yes	complemented
683	#14524000	C₂³	1	2	yes	complemented
684	#14524000	C₂³	1	4	yes	complemented
685	#14524000	C₂³	1	2	yes	complemented
686	#14523999	C₂³	1	4	yes	—
687	#14523999	C₂³	1	4	yes	complemented
688	#14523999	C₂³	1	4	yes	complemented
689	#14523999	C₂³	1	4	yes	complemented
690	#14523999	C₂³	1	4	yes	complemented
691	#14523999	C₂³	1	4	yes	complemented
692	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
693	C₂×C₄⋊Dic₆₇	C₂³	1	2	yes	complemented
694	C₂×C₄⋊Dic₆₇	C₂³	1	2	yes	complemented
695	C₂×Dic₆₇⋊C₄	C₂³	1	2	yes	—
696	C₂×Dic₆₇⋊C₄	C₂³	1	4	yes	complemented
697	C₂×Dic₆₇⋊C₄	C₂³	1	4	yes	complemented
698	C₂×Dic₆₇⋊C₄	C₂³	1	4	yes	complemented
699	C₄⋊C₄×D₆₇	C₂³	1	1	yes	characteristic
700	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
701	C₄⋊C₄×D₆₇	C₂³	1	1	yes	characteristic
702	C₄⋊C₄×D₆₇	C₂³	1	1	yes	characteristic
703	C₄⋊C₄×D₆₇	C₂³	1	1	yes	characteristic
704	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
705	C₄⋊C₄×D₆₇	C₂³	1	2	yes	complemented
706	C₄⋊C₄×D₆₇	C₂³	1	2	yes	complemented
707	C₄⋊C₄×D₆₇	C₂³	1	4	yes	complemented
708	C₄⋊C₄×D₆₇	C₂³	1	2	yes	complemented
709	C₄⋊C₄×D₆₇	C₂³	1	4	yes	complemented
710	C₂×C₂²⋊Dic₆₇	C₂³	1	4	yes	—
711	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	—
712	C₂×C₂²⋊Dic₆₇	C₂³	1	4	yes	complemented
713	C₂×C₂²⋊Dic₆₇	C₂³	1	4	yes	complemented
714	C₂×C₂²⋊Dic₆₇	C₂³	1	4	yes	complemented
715	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	—
716	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
717	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
718	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	—
719	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	complemented
720	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
721	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
722	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
723	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
724	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
725	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
726	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
727	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
728	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
729	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
730	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
731	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
732	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
733	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
734	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
735	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
736	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
737	C₂×C₄×Dic₆₇	C₂³	1	4	yes	complemented
738	C₂×C₄×Dic₆₇	C₂³	1	4	yes	complemented
739	C₄²×D₆₇	C₂³	1	1	yes	characteristic
740	C₄²×D₆₇	C₂³	1	1	yes	characteristic
741	C₄²×D₆₇	C₂³	1	1	yes	characteristic
742	C₄²×D₆₇	C₂³	1	1	yes	characteristic
743	C₄²×D₆₇	C₂³	1	1	yes	characteristic
744	C₄²×D₆₇	C₂³	1	1	yes	characteristic
745	C₄²×D₆₇	C₂³	1	1	yes	characteristic
746	C₄²×D₆₇	C₂³	1	1	yes	characteristic
747	C₄²×D₆₇	C₂³	1	4	yes	complemented
748	C₄²×D₆₇	C₂³	1	2	yes	complemented
749	C₂×#41×C₆₇	—	4	8	no	—
750	C₂×#41×C₆₇	C₂³	1	1	yes	characteristic
751	C₂×#41×C₆₇	C₂³	1	2	yes	—
752	C₂×#41×C₆₇	C₂³	1	4	yes	—
753	C₂×#41×C₆₇	C₂³	1	2	yes	complemented
754	C₂×#41×C₆₇	C₂³	1	2	yes	complemented
755	C₂×#41×C₆₇	C₂³	1	4	yes	complemented
756	C₂²×Q₈×C₆₇	C₂³	1	2	yes	complemented
757	C₂²×D₄×C₆₇	C₂³	1	2	yes	—
758	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
759	C₂²×D₄×C₆₇	C₂³	1	4	yes	—
760	C₂²×D₄×C₆₇	C₂³	1	2	yes	complemented
761	C₂³×C₄×C₆₇	C₂³	1	2	yes	—
762	C₂³×C₄×C₆₇	C₂³	1	4	yes	complemented
763	C₄⋊Q₈×C₆₇	C₂³	1	2	yes	complemented
764	C₄⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic, complemented
765	#127×C₆₇	C₂³	1	2	yes	—
766	#127×C₆₇	C₂³	1	1	yes	characteristic, complemented
767	#124×C₆₇	C₂³	1	4	yes	complemented
768	#124×C₆₇	C₂³	1	2	yes	complemented
769	#123×C₆₇	C₂³	1	4	yes	—
770	#123×C₆₇	C₂³	1	4	yes	complemented
771	#123×C₆₇	C₂³	1	4	yes	complemented
772	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	complemented
773	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	complemented
774	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	complemented
775	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	complemented
776	#121×C₆₇	C₂³	1	2	yes	—
777	#121×C₆₇	C₂³	1	2	yes	—
778	#121×C₆₇	C₂³	1	2	yes	—
779	#121×C₆₇	C₂³	1	4	yes	—
780	#121×C₆₇	C₂³	1	4	yes	complemented
781	#121×C₆₇	C₂³	1	2	yes	complemented
782	#121×C₆₇	C₂³	1	4	yes	complemented
783	#121×C₆₇	C₂³	1	2	yes	complemented
784	#121×C₆₇	C₂³	1	2	yes	complemented
785	#120×C₆₇	C₂³	1	4	yes	—
786	#120×C₆₇	C₂³	1	4	yes	—
787	#120×C₆₇	C₂³	1	4	yes	complemented
788	C₄×Q₈×C₆₇	C₂³	1	1	yes	characteristic, complemented
789	C₄×Q₈×C₆₇	C₂³	1	1	yes	characteristic, complemented
790	C₄×D₄×C₆₇	C₂³	1	2	yes	—
791	C₄×D₄×C₆₇	C₂³	1	2	yes	—
792	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
793	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
794	C₄×D₄×C₆₇	C₂³	1	2	yes	—
795	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
796	C₄×D₄×C₆₇	C₂³	1	2	yes	—
797	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
798	C₄×D₄×C₆₇	C₂³	1	2	yes	—
799	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic, complemented
800	C₄×D₄×C₆₇	C₂³	1	4	yes	complemented
801	C₄×D₄×C₆₇	C₂³	1	4	yes	complemented
802	C₄×D₄×C₆₇	C₂³	1	2	yes	complemented
803	C₄×D₄×C₆₇	C₂³	1	2	yes	complemented
804	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic, complemented
805	C₄×D₄×C₆₇	C₂³	1	4	yes	complemented
806	C₄×D₄×C₆₇	C₂³	1	2	yes	complemented
807	#117×C₆₇	C₂³	1	1	yes	characteristic
808	#117×C₆₇	C₂³	1	2	yes	complemented
809	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
810	C₂×C₄⋊C₄×C₆₇	C₂³	1	2	yes	complemented
811	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	—
812	C₂×C₂²⋊C₄×C₆₇	C₂³	1	4	yes	complemented
813	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
814	C₂×C₄²×C₆₇	C₂³	1	2	yes	complemented
815	C₂³×D₆₇	—	2	8	no	—
816	C₂³×D₆₇	—	4	4	no	—
817	C₂³×D₆₇	—	4	4	no	—
818	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
819	C₂³×D₆₇	C₂⁴	1	2	yes	—
820	C₂³×D₆₇	C₂⁴	1	2	yes	—
821	C₂³×D₆₇	C₂⁴	1	2	yes	—
822	C₂³×D₆₇	C₂⁴	1	2	yes	—
823	C₂³×D₆₇	C₂⁴	1	4	yes	—
824	C₂³×D₆₇	C₂⁴	1	2	yes	—
825	#11761629	—	4	4	no	—
826	#11761628	—	2	4	no	—
827	#11761628	—	2	8	no	—
828	#11761628	—	2	8	no	—
829	#11761628	—	4	8	no	—
830	#11761628	—	4	4	no	—
831	#11761627	—	2	8	no	—
832	#11761627	—	2	16	no	—
833	#11761627	—	2	8	no	—
834	#11761627	—	4	4	no	—
835	#11761627	—	4	4	no	—
836	#11761627	—	4	8	no	—
837	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
838	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
839	C₂×Dic₁₃₄	C₂⁴	1	1	yes	characteristic
840	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
841	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
842	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
843	Q₈×D₆₇	—	4	4	no	—
844	C₂×D₂₆₈	—	2	4	no	—
845	C₂×D₂₆₈	C₂⁴	1	2	yes	—
846	C₂×D₂₆₈	C₂⁴	1	2	yes	—
847	C₂×D₂₆₈	C₂⁴	1	2	yes	—
848	C₂×D₂₆₈	C₂⁴	1	1	yes	characteristic
849	C₂×D₂₆₈	C₂⁴	1	1	yes	characteristic
850	C₂×D₂₆₈	C₂⁴	1	4	yes	—
851	C₂×D₂₆₈	C₂⁴	1	1	yes	characteristic
852	C₂×C₂²⋊D₆₇	—	2	16	no	—
853	C₂×C₂²⋊D₆₇	—	2	8	no	—
854	C₂×C₂²⋊D₆₇	—	2	16	no	—
855	C₂×C₂²⋊D₆₇	—	4	8	no	—
856	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
857	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
858	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
859	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
860	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
861	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
862	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
863	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
864	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
865	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
866	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
867	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
868	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
869	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
870	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
871	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
872	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
873	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
874	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
875	D₄×D₆₇	—	2	8	no	—
876	D₄×D₆₇	—	2	16	no	—
877	D₄×D₆₇	—	2	4	no	—
878	D₄×D₆₇	—	2	8	no	—
879	D₄×D₆₇	—	2	4	no	—
880	D₄×D₆₇	—	2	8	no	—
881	D₄×D₆₇	—	2	4	no	—
882	D₄×D₆₇	—	4	4	no	—
883	D₄×D₆₇	—	4	8	no	—
884	D₄×D₆₇	—	4	8	no	—
885	D₄×D₆₇	#41	1	8	yes	complemented
886	C₂²×Dic₆₇	—	4	4	no	—
887	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
888	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
889	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
890	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
891	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
892	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
893	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
894	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
895	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
896	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
897	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
898	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
899	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
900	C₂×C₄×D₆₇	—	2	4	no	—
901	C₂×C₄×D₆₇	—	2	8	no	—
902	C₂×C₄×D₆₇	—	2	4	no	—
903	C₂×C₄×D₆₇	—	4	4	no	—
904	C₂×C₄×D₆₇	—	4	4	no	—
905	C₂×C₄×D₆₇	—	4	4	no	—
906	C₂×C₄×D₆₇	—	4	4	no	—
907	C₂×C₄×D₆₇	—	4	4	no	—
908	C₂×C₄×D₆₇	—	4	4	no	—
909	C₂×C₄×D₆₇	—	4	4	no	—
910	C₂×C₄×D₆₇	—	4	4	no	—
911	C₂×C₄×D₆₇	—	4	8	no	—
912	C₂×C₄×D₆₇	—	4	2	no	—
913	C₂×C₄×D₆₇	—	4	4	no	—
914	C₂×C₄×D₆₇	—	4	4	no	—
915	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
916	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
917	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
918	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
919	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
920	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
921	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
922	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
923	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
924	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
925	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
926	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
927	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
928	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
929	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
930	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
931	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
932	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
933	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
934	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
935	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
936	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
937	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
938	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
939	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
940	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
941	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
942	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
943	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
944	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
945	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
946	C₄⋊Dic₆₇	C₂⁴	1	1	yes	characteristic
947	C₄⋊Dic₆₇	C₂⁴	1	1	yes	characteristic
948	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
949	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
950	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
951	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
952	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
953	C₄⋊Dic₆₇	C₂⁴	1	1	yes	characteristic
954	C₄⋊Dic₆₇	C₂⁴	1	1	yes	characteristic
955	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
956	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
957	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
958	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
959	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
960	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
961	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
962	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
963	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
964	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
965	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
966	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
967	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
968	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
969	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
970	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
971	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
972	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
973	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
974	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
975	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
976	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
977	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
978	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
979	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
980	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
981	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
982	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
983	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
984	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
985	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
986	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
987	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
988	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
989	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
990	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
991	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
992	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
993	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
994	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
995	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
996	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
997	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
998	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
999	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
1000	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
1001	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
1002	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
1003	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
1004	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
1005	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
1006	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
1007	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
1008	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
1009	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
1010	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
1011	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
1012	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
1013	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
1014	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
1015	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
1016	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
1017	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
1018	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
1019	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
1020	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
1021	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
1022	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
1023	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
1024	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
1025	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
1026	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
1027	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
1028	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
1029	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
1030	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
1031	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
1032	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
1033	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
1034	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
1035	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
1036	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
1037	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
1038	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
1039	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
1040	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
1041	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
1042	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
1043	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
1044	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
1045	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
1046	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
1047	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
1048	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
1049	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
1050	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
1051	C₄×Dic₆₇	C₂⁴	1	4	yes	—
1052	C₄×Dic₆₇	C₂⁴	1	2	yes	—
1053	C₄×Dic₆₇	C₂⁴	1	4	yes	—
1054	C₄×Dic₆₇	C₂⁴	1	4	yes	—
1055	C₄×Dic₆₇	C₂⁴	1	2	yes	—
1056	C₄×Dic₆₇	C₂⁴	1	2	yes	—
1057	C₄×Dic₆₇	C₂⁴	1	4	yes	—
1058	C₄×Dic₆₇	C₂⁴	1	4	yes	—
1059	C₄×Dic₆₇	C₂⁴	1	4	yes	—
1060	C₄×Dic₆₇	C₂⁴	1	4	yes	—
1061	C₂⁴×C₆₇	C₂⁴	1	2	yes	—
1062	C₂⁴×C₆₇	C₂⁴	1	4	yes	—
1063	#41×C₆₇	—	2	4	no	—
1064	#41×C₆₇	—	2	8	no	—
1065	#41×C₆₇	—	4	8	no	—
1066	#41×C₆₇	—	4	8	no	—
1067	#41×C₆₇	—	4	4	no	—
1068	#41×C₆₇	—	4	4	no	—
1069	C₂×Q₈×C₆₇	—	4	4	no	—
1070	C₂×Q₈×C₆₇	C₂⁴	1	1	yes	characteristic
1071	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
1072	C₂×Q₈×C₆₇	C₂⁴	1	4	yes	—
1073	C₂×D₄×C₆₇	—	2	4	no	—
1074	C₂×D₄×C₆₇	—	2	8	no	—
1075	C₂×D₄×C₆₇	—	4	4	no	—
1076	C₂×D₄×C₆₇	—	4	8	no	—
1077	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
1078	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
1079	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
1080	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
1081	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
1082	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
1083	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
1084	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
1085	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
1086	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
1087	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
1088	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
1089	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
1090	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
1091	C₂²×C₄×C₆₇	—	2	8	no	—
1092	C₂²×C₄×C₆₇	—	4	8	no	—
1093	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1094	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
1095	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
1096	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
1097	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
1098	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
1099	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
1100	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
1101	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
1102	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1103	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
1104	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
1105	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
1106	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
1107	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1108	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1109	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1110	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1111	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1112	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1113	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1114	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1115	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1116	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1117	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1118	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1119	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1120	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1121	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1122	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1123	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1124	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1125	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1126	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1127	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1128	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1129	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1130	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1131	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1132	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
1133	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
1134	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
1135	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
1136	C₄²×C₆₇	C₂⁴	1	2	yes	—
1137	C₄²×C₆₇	C₂⁴	1	2	yes	—
1138	C₄²×C₆₇	C₂⁴	1	2	yes	—
1139	C₂³×C₆₇	—	2	4	no	—
1140	C₂³×C₆₇	—	2	4	no	—
1141	C₂³×C₆₇	—	2	8	no	—
1142	C₂³×C₆₇	—	4	2	no	—
1143	C₂³×C₆₇	—	4	4	no	—
1144	C₂³×C₆₇	—	4	4	no	—
1145	C₂³×C₆₇	C₂⁵	1	2	yes	—
1146	C₂³×C₆₇	C₂⁵	1	4	yes	—
1147	C₂³×C₆₇	C₂⁵	1	2	yes	—
1148	C₂³×C₆₇	C₂⁵	1	2	yes	—
1149	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
1150	C₂²×D₆₇	—	2	2	no	—
1151	C₂²×D₆₇	—	2	2	no	—
1152	C₂²×D₆₇	—	2	2	no	—
1153	C₂²×D₆₇	—	2	4	no	—
1154	C₂²×D₆₇	—	2	4	no	—
1155	C₂²×D₆₇	—	2	4	no	—
1156	C₂²×D₆₇	—	2	4	no	—
1157	C₂²×D₆₇	—	2	4	no	—
1158	C₂²×D₆₇	—	2	4	no	—
1159	C₂²×D₆₇	—	2	4	no	—
1160	C₂²×D₆₇	—	2	8	no	—
1161	C₂²×D₆₇	—	4	2	no	—
1162	C₂²×D₆₇	—	4	2	no	—
1163	C₂²×D₆₇	—	4	2	no	—
1164	C₂²×D₆₇	—	4	2	no	—
1165	C₂²×D₆₇	—	4	2	no	—
1166	C₂²×D₆₇	—	4	2	no	—
1167	C₂²×D₆₇	—	4	2	no	—
1168	C₂²×D₆₇	—	4	4	no	—
1169	C₂²×D₆₇	—	4	4	no	—
1170	C₂²×D₆₇	—	4	32	no	—
1171	C₂²×D₆₇	C₂×#41	1	8	yes	complemented
1172	C₂²×D₆₇	C₂⁵	1	2	yes	—
1173	C₂²×D₆₇	C₂⁵	1	2	yes	—
1174	C₂²×D₆₇	C₂⁵	1	2	yes	—
1175	C₂²×D₆₇	C₂⁵	1	1	yes	characteristic
1176	C₂²×D₆₇	C₂⁵	1	1	yes	characteristic
1177	Q₈×C₆₇	—	2	2	no	—
1178	Q₈×C₆₇	—	2	4	no	—
1179	Q₈×C₆₇	—	4	4	no	—
1180	D₄×C₆₇	—	2	4	no	—
1181	D₄×C₆₇	—	2	8	no	—
1182	D₄×C₆₇	—	2	4	no	—
1183	D₄×C₆₇	—	2	8	no	—
1184	D₄×C₆₇	—	2	2	no	—
1185	D₄×C₆₇	—	2	4	no	—
1186	D₄×C₆₇	—	2	2	no	—
1187	D₄×C₆₇	—	2	4	no	—
1188	D₄×C₆₇	—	4	4	no	—
1189	D₄×C₆₇	—	4	4	no	—
1190	D₄×C₆₇	—	4	4	no	—
1191	D₄×C₆₇	—	4	4	no	—
1192	D₄×C₆₇	—	4	2	no	—
1193	D₄×C₆₇	C₂×#41	1	4	yes	complemented
1194	C₂×C₄×C₆₇	—	2	4	no	—
1195	C₂×C₄×C₆₇	—	2	2	no	—
1196	C₂×C₄×C₆₇	—	2	4	no	—
1197	C₂×C₄×C₆₇	—	2	4	no	—
1198	C₂×C₄×C₆₇	—	2	4	no	—
1199	C₂×C₄×C₆₇	—	2	4	no	—
1200	C₂×C₄×C₆₇	—	2	4	no	—
1201	C₂×C₄×C₆₇	—	2	4	no	—
1202	C₂×C₄×C₆₇	—	2	8	no	—
1203	C₂×C₄×C₆₇	—	4	4	no	—
1204	C₂×C₄×C₆₇	—	4	4	no	—
1205	C₂×C₄×C₆₇	—	4	4	no	—
1206	C₂×C₄×C₆₇	—	4	1	no	—
1207	C₂×C₄×C₆₇	—	4	2	no	—
1208	C₂×C₄×C₆₇	H(5,𝔽₂)	1	4	yes	complemented
1209	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1210	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1211	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
1212	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
1213	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1214	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
1215	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
1216	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
1217	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
1218	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1219	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1220	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1221	C₂²⋊D₆₇	—	2	4	no	—
1222	C₂²⋊D₆₇	—	2	8	no	—
1223	C₂²⋊D₆₇	—	2	4	no	—
1224	C₂²⋊D₆₇	—	2	4	no	—
1225	C₂²⋊D₆₇	—	2	8	no	—
1226	C₂²⋊D₆₇	—	2	8	no	—
1227	C₂²⋊D₆₇	—	2	8	no	—
1228	C₂²⋊D₆₇	—	2	4	no	—
1229	C₂²⋊D₆₇	—	2	8	no	—
1230	C₂²⋊D₆₇	—	2	4	no	—
1231	C₂²⋊D₆₇	—	2	4	no	—
1232	C₂²⋊D₆₇	—	2	4	no	—
1233	C₂²⋊D₆₇	—	4	4	no	—
1234	C₂²⋊D₆₇	—	4	4	no	—
1235	C₂²⋊D₆₇	—	4	4	no	—
1236	C₂²⋊D₆₇	—	4	4	no	—
1237	C₂²⋊D₆₇	—	4	4	no	—
1238	C₂²⋊D₆₇	—	4	2	no	—
1239	C₂²⋊D₆₇	C₂×#41	1	8	yes	complemented
1240	C₂×Dic₆₇	—	2	8	no	—
1241	C₂×Dic₆₇	—	2	2	no	—
1242	C₂×Dic₆₇	—	2	4	no	—
1243	C₂×Dic₆₇	—	2	2	no	—
1244	C₂×Dic₆₇	—	2	8	no	—
1245	C₂×Dic₆₇	—	4	2	no	—
1246	C₂×Dic₆₇	—	4	2	no	—
1247	C₂×Dic₆₇	—	4	2	no	—
1248	C₂×Dic₆₇	—	4	2	no	—
1249	C₂×Dic₆₇	—	4	1	no	—
1250	C₂×Dic₆₇	—	4	4	no	—
1251	C₂×Dic₆₇	—	4	4	no	—
1252	C₂×Dic₆₇	—	4	4	no	—
1253	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1254	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1255	C₂×Dic₆₇	C₂⁵	1	4	yes	—
1256	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1257	C₂×Dic₆₇	C₂⁵	1	4	yes	—
1258	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1259	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1260	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1261	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1262	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1263	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1264	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1265	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1266	D₂₆₈	—	2	4	no	—
1267	D₂₆₈	—	2	4	no	—
1268	D₂₆₈	—	2	4	no	—
1269	D₂₆₈	—	2	2	no	—
1270	D₂₆₈	—	2	2	no	—
1271	D₂₆₈	—	4	4	no	—
1272	D₂₆₈	C₂×#41	1	4	yes	complemented
1273	C₄×D₆₇	—	2	2	no	—
1274	C₄×D₆₇	—	2	8	no	—
1275	C₄×D₆₇	—	2	2	no	—
1276	C₄×D₆₇	—	2	2	no	—
1277	C₄×D₆₇	—	2	2	no	—
1278	C₄×D₆₇	—	2	4	no	—
1279	C₄×D₆₇	—	2	2	no	—
1280	C₄×D₆₇	—	2	2	no	—
1281	C₄×D₆₇	—	2	2	no	—
1282	C₄×D₆₇	—	2	2	no	—
1283	C₄×D₆₇	—	2	4	no	—
1284	C₄×D₆₇	—	2	4	no	—
1285	C₄×D₆₇	—	2	4	no	—
1286	C₄×D₆₇	—	2	4	no	—
1287	C₄×D₆₇	—	2	4	no	—
1288	C₄×D₆₇	—	2	2	no	—
1289	C₄×D₆₇	—	4	2	no	—
1290	C₄×D₆₇	—	4	2	no	—
1291	C₄×D₆₇	—	4	2	no	—
1292	C₄×D₆₇	—	4	2	no	—
1293	C₄×D₆₇	—	4	2	no	—
1294	C₄×D₆₇	—	4	2	no	—
1295	C₄×D₆₇	—	4	2	no	—
1296	C₄×D₆₇	—	4	2	no	—
1297	C₄×D₆₇	—	4	1	no	—
1298	C₄×D₆₇	—	4	1	no	—
1299	C₄×D₆₇	—	4	4	no	—
1300	C₄×D₆₇	—	4	4	no	—
1301	C₄×D₆₇	—	4	4	no	—
1302	C₄×D₆₇	—	4	2	no	—
1303	C₄×D₆₇	C₂×#41	1	4	yes	complemented
1304	Dic₁₃₄	—	2	4	no	—
1305	Dic₁₃₄	—	2	2	no	—
1306	Dic₁₃₄	—	2	4	no	—
1307	Dic₁₃₄	—	4	4	no	—
1308	Dic₁₃₄	—	4	2	no	—
1309	Dic₁₃₄	—	4	2	no	—
1310	C₂²×C₆₇	—	2	1	no	—
1311	C₂²×C₆₇	—	2	2	no	—
1312	C₂²×C₆₇	—	2	2	no	—
1313	C₂²×C₆₇	—	2	1	no	—
1314	C₂²×C₆₇	—	2	4	no	—
1315	C₂²×C₆₇	—	2	2	no	—
1316	C₂²×C₆₇	—	2	2	no	—
1317	C₂²×C₆₇	—	2	2	no	—
1318	C₂²×C₆₇	—	2	4	no	—
1319	C₂²×C₆₇	—	2	2	no	—
1320	C₂²×C₆₇	—	2	4	no	—
1321	C₂²×C₆₇	—	2	2	no	—
1322	C₂²×C₆₇	—	2	2	no	—
1323	C₂²×C₆₇	—	4	8	no	—
1324	C₂²×C₆₇	—	8	8	no	—
1325	C₂²×C₆₇	C₂²×#41	1	4	yes	—
1326	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1327	C₂²×C₆₇	C₂⁶	1	1	yes	characteristic
1328	C₂×D₆₇	—	2	8	no	—
1329	C₂×D₆₇	—	2	1	no	—
1330	C₂×D₆₇	—	2	1	no	—
1331	C₂×D₆₇	—	2	1	no	—
1332	C₂×D₆₇	—	2	2	no	—
1333	C₂×D₆₇	—	2	1	no	—
1334	C₂×D₆₇	—	2	2	no	—
1335	C₂×D₆₇	—	2	2	no	—
1336	C₂×D₆₇	—	2	2	no	—
1337	C₂×D₆₇	—	2	2	no	—
1338	C₂×D₆₇	—	2	2	no	—
1339	C₂×D₆₇	—	2	2	no	—
1340	C₂×D₆₇	—	2	2	no	—
1341	C₂×D₆₇	—	4	8	no	—
1342	C₂×D₆₇	—	4	8	no	—
1343	C₂×D₆₇	—	4	8	no	—
1344	C₂×D₆₇	—	4	8	no	—
1345	C₂×D₆₇	—	4	8	no	—
1346	C₂×D₆₇	—	8	8	no	—
1347	C₂×D₆₇	C₂²×#41	1	4	yes	—
1348	C₂×D₆₇	C₂²×#41	1	2	yes	—
1349	C₂×D₆₇	#585	1	2	yes	—
1350	C₄×C₆₇	—	2	2	no	—
1351	C₄×C₆₇	—	2	1	no	—
1352	C₄×C₆₇	—	2	4	no	—
1353	C₄×C₆₇	—	2	2	no	—
1354	C₄×C₆₇	—	2	2	no	—
1355	C₄×C₆₇	—	2	2	no	—
1356	C₄×C₆₇	—	2	1	no	—
1357	C₄×C₆₇	—	2	2	no	—
1358	C₄×C₆₇	—	2	1	no	—
1359	C₄×C₆₇	C₂²×#41	1	2	yes	—
1360	C₄×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1361	C₄×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1362	Dic₆₇	—	2	4	no	—
1363	Dic₆₇	—	2	2	no	—
1364	Dic₆₇	—	2	1	no	—
1365	Dic₆₇	—	2	2	no	—
1366	Dic₆₇	—	2	2	no	—
1367	Dic₆₇	—	2	1	no	—
1368	Dic₆₇	—	2	1	no	—
1369	Dic₆₇	—	2	2	no	—
1370	Dic₆₇	—	2	1	no	—
1371	Dic₆₇	—	2	4	no	—
1372	Dic₆₇	—	2	2	no	—
1373	Dic₆₇	—	2	1	no	—
1374	Dic₆₇	C₂²×#41	1	2	yes	—
1375	#62773	—	67	1	no	maximal, Sylow
1376	C₂×C₆₇	—	2	2	no	—
1377	C₂×C₆₇	—	2	4	no	—
1378	C₂×C₆₇	—	4	2	no	—
1379	C₂×C₆₇	—	4	4	no	—
1380	C₂×C₆₇	—	4	2	no	—
1381	C₂×C₆₇	C₂³×#41	1	1	yes	characteristic
1382	C₂×C₆₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1383	C₂×C₆₇	C₂×#585	1	1	yes	characteristic
1384	D₆₇	—	2	2	no	—
1385	D₆₇	—	2	2	no	—
1386	D₆₇	—	2	4	no	—
1387	D₆₇	—	4	2	no	—
1388	D₆₇	—	4	2	no	—
1389	#3520	—	67	1	no	—
1390	#3520	—	67	2	no	—
1391	#3520	—	67	1	no	—
1392	#3519	—	67	1	no	—
1393	#3519	—	67	2	no	—
1394	#3519	—	67	1	no	—
1395	#3513	—	67	2	no	—
1396	#3513	—	67	4	no	—
1397	#3513	—	67	2	no	—
1398	#3506	—	67	1	no	—
1399	#3506	—	67	1	no	—
1400	#3505	—	67	2	no	—
1401	#3505	—	67	2	no	—
1402	#3501	—	67	1	no	—
1403	#3496	—	67	1	no	—
1404	#3492	—	67	2	no	—
1405	#3490	—	67	4	no	—
1406	#3484	—	67	2	no	—
1407	#3481	—	67	2	no	—
1408	#3481	—	67	4	no	—
1409	#3481	—	67	2	no	—
1410	#3475	—	67	2	no	—
1411	#3475	—	67	1	no	—
1412	#3475	—	67	1	no	—
1413	D₄×#41	—	67	2	no	—
1414	D₄×#41	—	67	1	no	—
1415	D₄×#41	D₆₇	1	1	yes	characteristic, complemented
1416	#3460	—	67	2	no	—
1417	#3459	—	67	4	no	—
1418	#3444	—	67	1	no	—
1419	#3444	—	67	1	no	—
1420	C₂×#525	—	67	2	no	—
1421	C₂×#525	—	67	2	no	—
1422	C₄×H(5,𝔽₂)	—	67	2	no	—
1423	C₂²×C₄×D₄	—	67	1	no	—
1424	C₆₇	#62773	1	1	yes	characteristic, complemented, Sylow
1425	C₂×H(5,𝔽₂)	—	67	2	no	—
1426	C₂²×#41	—	67	2	no	—
1427	C₂²×#41	C₂×D₆₇	1	2	yes	complemented
1428	C₂³×D₄	—	67	1	no	—
1429	C₂⁴×C₄	—	67	2	no	—
1430	#559	—	67	2	no	—
1431	#559	—	67	4	no	—
1432	#559	—	67	2	no	—
1433	#556	—	67	2	no	—
1434	#556	—	67	1	no	—
1435	#556	—	67	1	no	—
1436	#555	—	67	2	no	—
1437	#555	—	67	1	no	—
1438	#555	—	67	1	no	—
1439	#554	—	67	2	no	—
1440	#554	—	67	2	no	—
1441	#554	—	67	4	no	—
1442	#554	—	67	4	no	—
1443	#554	—	67	2	no	—
1444	#554	—	67	1	no	—
1445	#554	—	67	1	no	—
1446	#554	—	67	2	no	—
1447	#554	—	67	2	no	—
1448	#553	—	67	4	no	—
1449	#553	—	67	4	no	—
1450	#553	—	67	4	no	—
1451	#553	—	67	2	no	—
1452	#553	—	67	4	no	—
1453	#553	—	67	2	no	—
1454	#553	—	67	2	no	—
1455	#553	—	67	4	no	—
1456	#553	—	67	2	no	—
1457	#553	—	67	2	no	—
1458	#553	—	67	4	no	—
1459	#553	—	67	2	no	—
1460	#553	—	67	2	no	—
1461	#553	—	67	2	no	—
1462	#552	—	67	4	no	—
1463	#552	—	67	2	no	—
1464	#552	—	67	2	no	—
1465	#552	—	67	2	no	—
1466	#552	—	67	2	no	—
1467	#552	—	67	2	no	—
1468	#552	—	67	2	no	—
1469	#551	—	67	4	no	—
1470	#551	—	67	4	no	—
1471	#551	—	67	4	no	—
1472	#551	—	67	4	no	—
1473	#551	—	67	4	no	—
1474	#551	—	67	4	no	—
1475	#551	—	67	4	no	—
1476	#551	—	67	4	no	—
1477	#551	—	67	4	no	—
1478	#551	—	67	4	no	—
1479	#551	—	67	4	no	—
1480	#551	—	67	4	no	—
1481	#550	—	67	2	no	—
1482	#550	—	67	1	no	—
1483	#550	C₂×D₆₇	1	1	yes	characteristic, complemented
1484	D₄×Q₈	—	67	2	no	—
1485	D₄×Q₈	—	67	1	no	—
1486	D₄×Q₈	C₂×D₆₇	1	1	yes	characteristic, complemented
1487	#548	—	67	2	no	—
1488	#548	—	67	2	no	—
1489	#548	—	67	2	no	—
1490	#548	C₂×D₆₇	1	2	yes	complemented
1491	#547	—	67	4	no	—
1492	#547	—	67	2	no	—
1493	#547	—	67	1	no	—
1494	#547	—	67	2	no	—
1495	#547	—	67	2	no	—
1496	#547	—	67	1	no	—
1497	#547	—	67	1	no	—
1498	#547	C₂×D₆₇	1	2	yes	complemented
1499	#547	C₂×D₆₇	1	1	yes	characteristic, complemented
1500	#546	—	67	4	no	—
1501	#546	—	67	2	no	—
1502	#546	—	67	4	no	—
1503	#546	—	67	2	no	—
1504	#546	—	67	2	no	—
1505	#546	—	67	2	no	—
1506	#546	—	67	2	no	—
1507	#546	—	67	4	no	—
1508	#546	—	67	4	no	—
1509	#546	—	67	2	no	—
1510	#546	—	67	4	no	—
1511	#546	—	67	4	no	—
1512	#546	—	67	2	no	—
1513	#546	—	67	4	no	—
1514	#546	—	67	4	no	—
1515	#546	—	67	4	no	—
1516	#546	—	67	2	no	—
1517	#546	—	67	2	no	—
1518	#546	—	67	4	no	—
1519	#546	C₂×D₆₇	1	4	yes	complemented
1520	#546	C₂×D₆₇	1	2	yes	complemented
1521	D₄²	—	67	4	no	—
1522	D₄²	—	67	2	no	—
1523	D₄²	—	67	2	no	—
1524	D₄²	—	67	2	no	—
1525	D₄²	—	67	1	no	—
1526	D₄²	—	67	2	no	—
1527	D₄²	—	67	4	no	—
1528	D₄²	C₂×D₆₇	1	2	yes	complemented
1529	D₄²	C₂×D₆₇	1	1	yes	characteristic, complemented
1530	#544	—	67	2	no	—
1531	#543	—	67	4	no	—
1532	#542	—	67	2	no	—
1533	#542	—	67	4	no	—
1534	#542	—	67	2	no	—
1535	#540	—	67	2	no	—
1536	#540	—	67	4	no	—
1537	#540	—	67	2	no	—
1538	#539	—	67	4	no	—
1539	#539	—	67	4	no	—
1540	#539	—	67	4	no	—
1541	#539	—	67	4	no	—
1542	#539	—	67	4	no	—
1543	#539	—	67	4	no	—
1544	#538	—	67	4	no	—
1545	#538	—	67	4	no	—
1546	#538	—	67	4	no	—
1547	#538	—	67	4	no	—
1548	#538	—	67	4	no	—
1549	#538	—	67	4	no	—
1550	#538	—	67	4	no	—
1551	#538	—	67	4	no	—
1552	#537	—	67	2	no	—
1553	#535	—	67	2	no	—
1554	#535	—	67	2	no	—
1555	#534	—	67	4	no	—
1556	#534	—	67	4	no	—
1557	#534	—	67	4	no	—
1558	#533	—	67	1	no	—
1559	#533	—	67	1	no	—
1560	#533	—	67	1	no	—
1561	#533	—	67	1	no	—
1562	#533	—	67	1	no	—
1563	#533	—	67	1	no	—
1564	#532	—	67	1	no	—
1565	#532	—	67	4	no	—
1566	#532	—	67	1	no	—
1567	#532	—	67	1	no	—
1568	#532	—	67	1	no	—
1569	#532	—	67	1	no	—
1570	#532	—	67	2	no	—
1571	#532	C₂×D₆₇	1	1	yes	characteristic, complemented
1572	#532	C₂×D₆₇	1	2	yes	complemented
1573	#529	—	67	2	no	—
1574	#529	—	67	2	no	—
1575	#529	—	67	2	no	—
1576	#529	—	67	2	no	—
1577	#529	—	67	1	no	—
1578	#529	—	67	1	no	—
1579	#529	—	67	2	no	—
1580	#529	—	67	2	no	—
1581	#529	—	67	4	no	—
1582	#529	—	67	2	no	—
1583	#529	—	67	2	no	—
1584	#529	—	67	2	no	—
1585	#529	—	67	1	no	—
1586	#529	—	67	1	no	—
1587	#529	—	67	4	no	—
1588	#529	—	67	4	no	—
1589	#529	—	67	4	no	—
1590	#529	—	67	2	no	—
1591	#529	—	67	2	no	—
1592	#529	—	67	4	no	—
1593	#529	—	67	2	no	—
1594	#525	—	67	2	no	—
1595	#525	—	67	1	no	—
1596	#525	—	67	2	no	—
1597	#525	—	67	2	no	—
1598	#525	—	67	4	no	—
1599	#525	—	67	4	no	—
1600	#525	—	67	4	no	—
1601	#525	—	67	4	no	—
1602	#525	—	67	2	no	—
1603	#525	—	67	2	no	—
1604	#525	—	67	2	no	—
1605	#525	—	67	2	no	—
1606	#525	—	67	4	no	—
1607	#525	—	67	2	no	—
1608	#525	—	67	4	no	—
1609	#525	—	67	4	no	—
1610	#525	—	67	2	no	—
1611	#525	—	67	2	no	—
1612	#525	—	67	2	no	—
1613	#525	—	67	2	no	—
1614	#525	—	67	2	no	—
1615	#525	—	67	2	no	—
1616	#525	—	67	4	no	—
1617	#525	—	67	2	no	—
1618	#525	—	67	2	no	—
1619	#525	—	67	4	no	—
1620	#525	—	67	4	no	—
1621	#525	—	67	4	no	—
1622	#525	—	67	1	no	—
1623	#525	C₂×D₆₇	1	2	yes	complemented
1624	#525	C₂×D₆₇	1	4	yes	complemented
1625	C₂×#123	—	67	4	no	—
1626	C₂×#123	—	67	4	no	—
1627	C₂×C₂²⋊Q₈	—	67	2	no	—
1628	C₂×C₂²⋊Q₈	—	67	2	no	—
1629	C₂×C₂²⋊Q₈	—	67	2	no	—
1630	C₂×C₂²⋊Q₈	—	67	2	no	—
1631	C₂×#121	—	67	2	no	—
1632	C₂×#121	—	67	2	no	—
1633	C₂×#121	—	67	2	no	—
1634	C₂×#121	—	67	2	no	—
1635	C₂×#120	—	67	4	no	—
1636	C₂×#120	—	67	4	no	—
1637	#520	—	67	2	no	—
1638	#520	—	67	2	no	—
1639	#520	—	67	4	no	—
1640	#520	—	67	2	no	—
1641	#520	—	67	2	no	—
1642	#518	—	67	2	no	—
1643	#518	—	67	2	no	—
1644	#518	—	67	4	no	—
1645	#518	—	67	2	no	—
1646	#518	—	67	4	no	—
1647	#518	—	67	4	no	—
1648	C₄×#41	—	67	2	no	—
1649	C₄×#41	—	67	2	no	—
1650	C₄×#41	—	67	2	no	—
1651	C₄×#41	—	67	4	no	—
1652	C₄×#41	—	67	2	no	—
1653	C₄×#41	—	67	1	no	—
1654	C₄×#41	—	67	2	no	—
1655	C₄×#41	—	67	2	no	—
1656	C₄×#41	—	67	2	no	—
1657	C₄×#41	C₂×D₆₇	1	1	yes	characteristic, complemented
1658	C₂×C₄×D₄	—	67	1	no	—
1659	C₂×C₄×D₄	—	67	2	no	—
1660	C₂×C₄×D₄	—	67	4	no	—
1661	C₂×C₄×D₄	—	67	4	no	—
1662	C₂×C₄×D₄	—	67	4	no	—
1663	C₂×C₄×D₄	—	67	1	no	—
1664	C₂×C₄×D₄	—	67	1	no	—
1665	C₂×C₄×D₄	—	67	2	no	—
1666	C₂×C₄×D₄	—	67	1	no	—
1667	C₂×C₄×D₄	—	67	1	no	—
1668	C₂×C₄×D₄	—	67	2	no	—
1669	C₂×C₄×D₄	—	67	1	no	—
1670	C₂×C₄×D₄	—	67	2	no	—
1671	C₂×C₄×D₄	—	67	1	no	—
1672	C₂×C₄×D₄	—	67	1	no	—
1673	C₂×C₄×D₄	—	67	2	no	—
1674	C₂×C₄×D₄	—	67	1	no	—
1675	C₂×C₄×D₄	—	67	4	no	—
1676	C₂×C₄×D₄	—	67	2	no	—
1677	C₂×C₄×D₄	—	67	4	no	—
1678	C₂×C₄×D₄	—	67	1	no	—
1679	C₂×C₄×D₄	—	67	2	no	—
1680	C₂×C₄×D₄	—	67	1	no	—
1681	C₂×C₄×D₄	C₂×D₆₇	1	1	yes	characteristic, complemented
1682	C₂×C₄×D₄	C₂×D₆₇	1	2	yes	complemented
1683	C₂×#117	—	67	2	no	—
1684	C₂×#117	—	67	2	no	—
1685	C₂²×C₄⋊C₄	—	67	1	no	—
1686	C₂²×C₂²⋊C₄	—	67	2	no	—
1687	C₂²×C₄²	—	67	1	no	—
1688	C₂⁵	—	67	2	no	—
1689	H(5,𝔽₂)	—	134	16	no	—
1690	C₂×#41	—	4	8	no	—
1691	C₂×#41	—	268	8	no	—
1692	C₂×#41	—	67	2	no	—
1693	C₂×#41	—	67	2	no	—
1694	C₂×#41	—	67	4	no	—
1695	C₂×#41	—	67	2	no	—
1696	C₂×#41	—	67	2	no	—
1697	C₂×#41	—	67	2	no	—
1698	C₂×#41	—	67	4	no	—
1699	C₂×#41	—	67	2	no	—
1700	C₂×#41	—	67	4	no	—
1701	C₂×#41	—	67	2	no	—
1702	C₂×#41	—	67	2	no	—
1703	C₂×#41	—	67	1	no	—
1704	C₂×#41	C₂²×D₆₇	1	2	yes	—
1705	C₂×#41	C₂²×D₆₇	1	1	yes	characteristic
1706	C₂×#41	C₂²×D₆₇	1	4	yes	—
1707	C₂×#41	C₂²×D₆₇	1	4	yes	complemented
1708	C₂×#41	C₂²×D₆₇	1	2	yes	complemented
1709	C₂×#41	C₂²×D₆₇	1	2	yes	complemented
1710	C₂²×Q₈	—	67	2	no	—
1711	C₂²×Q₈	C₂²×D₆₇	1	2	yes	complemented
1712	C₂²×D₄	—	67	4	no	—
1713	C₂²×D₄	—	67	4	no	—
1714	C₂²×D₄	—	67	4	no	—
1715	C₂²×D₄	—	67	2	no	—
1716	C₂²×D₄	—	67	1	no	—
1717	C₂²×D₄	—	67	2	no	—
1718	C₂²×D₄	—	67	4	no	—
1719	C₂²×D₄	—	67	4	no	—
1720	C₂²×D₄	—	67	2	no	—
1721	C₂²×D₄	—	67	1	no	—
1722	C₂²×D₄	—	67	2	no	—
1723	C₂²×D₄	—	67	1	no	—
1724	C₂²×D₄	—	67	1	no	—
1725	C₂²×D₄	—	67	4	no	—
1726	C₂²×D₄	—	67	2	no	—
1727	C₂²×D₄	—	67	1	no	—
1728	C₂²×D₄	—	134	8	no	—
1729	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1730	C₂²×D₄	C₂²×D₆₇	1	2	yes	—
1731	C₂²×D₄	C₂²×D₆₇	1	4	yes	—
1732	C₂²×D₄	C₂²×D₆₇	1	2	yes	complemented
1733	C₂³×C₄	—	268	8	no	—
1734	C₂³×C₄	—	67	2	no	—
1735	C₂³×C₄	—	67	1	no	—
1736	C₂³×C₄	—	67	2	no	—
1737	C₂³×C₄	—	67	2	no	—
1738	C₂³×C₄	—	67	2	no	—
1739	C₂³×C₄	—	67	2	no	—
1740	C₂³×C₄	—	67	4	no	—
1741	C₂³×C₄	—	67	2	no	—
1742	C₂³×C₄	—	67	2	no	—
1743	C₂³×C₄	—	67	2	no	—
1744	C₂³×C₄	—	67	2	no	—
1745	C₂³×C₄	—	67	2	no	—
1746	C₂³×C₄	—	67	2	no	—
1747	C₂³×C₄	—	67	1	no	—
1748	C₂³×C₄	—	67	2	no	—
1749	C₂³×C₄	—	67	1	no	—
1750	C₂³×C₄	C₂²×D₆₇	1	2	yes	—
1751	C₂³×C₄	C₂²×D₆₇	1	4	yes	complemented
1752	C₄⋊Q₈	—	67	1	no	—
1753	C₄⋊Q₈	—	67	4	no	—
1754	C₄⋊Q₈	—	67	1	no	—
1755	C₄⋊Q₈	—	67	1	no	—
1756	C₄⋊Q₈	—	67	2	no	—
1757	C₄⋊Q₈	—	67	1	no	—
1758	C₄⋊Q₈	—	67	1	no	—
1759	C₄⋊Q₈	C₂²×D₆₇	1	1	yes	characteristic, complemented
1760	C₄⋊Q₈	C₂²×D₆₇	1	2	yes	complemented
1761	#127	—	67	1	no	—
1762	#127	—	67	2	no	—
1763	#127	—	67	4	no	—
1764	#127	C₂²×D₆₇	1	2	yes	—
1765	#127	C₂²×D₆₇	1	1	yes	characteristic, complemented
1766	#126	—	67	2	no	—
1767	#126	—	67	2	no	—
1768	#126	—	67	4	no	—
1769	#126	—	67	4	no	—
1770	#126	—	67	4	no	—
1771	#126	—	67	4	no	—
1772	#126	—	67	2	no	—
1773	#126	—	67	4	no	—
1774	#126	—	67	2	no	—
1775	#126	—	67	4	no	—
1776	#126	—	67	4	no	—
1777	#126	—	67	4	no	—
1778	#126	—	67	4	no	—
1779	#126	—	67	4	no	—
1780	#126	—	67	4	no	—
1781	#126	—	67	4	no	—
1782	#126	—	67	4	no	—
1783	#126	—	67	4	no	—
1784	#125	—	67	2	no	—
1785	#125	—	67	2	no	—
1786	#125	—	67	1	no	—
1787	#125	—	67	1	no	—
1788	#125	—	67	2	no	—
1789	#125	—	67	2	no	—
1790	#125	—	67	4	no	—
1791	#125	—	67	4	no	—
1792	#125	—	67	4	no	—
1793	#125	—	67	4	no	—
1794	#125	—	67	4	no	—
1795	#125	—	67	2	no	—
1796	#125	—	67	2	no	—
1797	#125	—	67	2	no	—
1798	#124	—	67	1	no	—
1799	#124	—	67	4	no	—
1800	#124	—	67	2	no	—
1801	#124	—	67	1	no	—
1802	#124	—	67	2	no	—
1803	#124	—	67	2	no	—
1804	#124	—	67	4	no	—
1805	#124	—	67	4	no	—
1806	#124	—	67	2	no	—
1807	#124	—	67	2	no	—
1808	#124	—	67	4	no	—
1809	#124	—	67	4	no	—
1810	#124	—	67	4	no	—
1811	#124	—	67	4	no	—
1812	#124	—	67	4	no	—
1813	#124	—	67	2	no	—
1814	#124	C₂²×D₆₇	1	2	yes	complemented
1815	#124	C₂²×D₆₇	1	4	yes	complemented
1816	#123	—	67	4	no	—
1817	#123	—	67	2	no	—
1818	#123	—	67	4	no	—
1819	#123	—	67	4	no	—
1820	#123	—	67	4	no	—
1821	#123	—	67	4	no	—
1822	#123	—	67	4	no	—
1823	#123	—	67	4	no	—
1824	#123	—	67	4	no	—
1825	#123	—	67	4	no	—
1826	#123	—	67	4	no	—
1827	#123	—	67	4	no	—
1828	#123	—	67	4	no	—
1829	#123	—	67	4	no	—
1830	#123	—	67	4	no	—
1831	#123	—	67	4	no	—
1832	#123	—	67	4	no	—
1833	#123	—	67	4	no	—
1834	#123	—	67	4	no	—
1835	#123	—	67	2	no	—
1836	#123	—	67	2	no	—
1837	#123	—	67	4	no	—
1838	#123	—	67	4	no	—
1839	#123	—	67	2	no	—
1840	#123	—	67	4	no	—
1841	#123	—	67	4	no	—
1842	#123	—	67	2	no	—
1843	#123	—	67	4	no	—
1844	#123	—	67	2	no	—
1845	#123	—	67	4	no	—
1846	#123	—	67	4	no	—
1847	#123	—	67	4	no	—
1848	#123	—	67	4	no	—
1849	#123	—	67	4	no	—
1850	#123	—	67	4	no	—
1851	#123	—	67	4	no	—
1852	#123	—	67	4	no	—
1853	#123	—	67	4	no	—
1854	#123	C₂²×D₆₇	1	4	yes	—
1855	#123	C₂²×D₆₇	1	4	yes	complemented
1856	#123	C₂²×D₆₇	1	4	yes	complemented
1857	C₂²⋊Q₈	—	67	2	no	—
1858	C₂²⋊Q₈	—	67	2	no	—
1859	C₂²⋊Q₈	—	67	1	no	—
1860	C₂²⋊Q₈	—	67	1	no	—
1861	C₂²⋊Q₈	—	67	4	no	—
1862	C₂²⋊Q₈	—	67	4	no	—
1863	C₂²⋊Q₈	—	67	2	no	—
1864	C₂²⋊Q₈	—	67	2	no	—
1865	C₂²⋊Q₈	—	67	2	no	—
1866	C₂²⋊Q₈	—	67	2	no	—
1867	C₂²⋊Q₈	—	67	4	no	—
1868	C₂²⋊Q₈	—	67	4	no	—
1869	C₂²⋊Q₈	—	67	4	no	—
1870	C₂²⋊Q₈	—	67	4	no	—
1871	C₂²⋊Q₈	—	67	2	no	—
1872	C₂²⋊Q₈	—	67	2	no	—
1873	C₂²⋊Q₈	—	67	2	no	—
1874	C₂²⋊Q₈	—	67	2	no	—
1875	C₂²⋊Q₈	—	67	4	no	—
1876	C₂²⋊Q₈	—	67	4	no	—
1877	C₂²⋊Q₈	—	67	2	no	—
1878	C₂²⋊Q₈	—	67	1	no	—
1879	C₂²⋊Q₈	—	67	1	no	—
1880	C₂²⋊Q₈	—	67	4	no	—
1881	C₂²⋊Q₈	—	67	4	no	—
1882	C₂²⋊Q₈	—	67	2	no	—
1883	C₂²⋊Q₈	—	67	2	no	—
1884	C₂²⋊Q₈	—	67	2	no	—
1885	C₂²⋊Q₈	—	67	2	no	—
1886	C₂²⋊Q₈	—	67	4	no	—
1887	C₂²⋊Q₈	—	67	2	no	—
1888	C₂²⋊Q₈	—	67	4	no	—
1889	C₂²⋊Q₈	—	67	4	no	—
1890	C₂²⋊Q₈	—	67	4	no	—
1891	C₂²⋊Q₈	—	67	4	no	—
1892	C₂²⋊Q₈	—	67	2	no	—
1893	C₂²⋊Q₈	—	67	2	no	—
1894	C₂²⋊Q₈	—	67	4	no	—
1895	C₂²⋊Q₈	—	67	4	no	—
1896	C₂²⋊Q₈	—	67	4	no	—
1897	C₂²⋊Q₈	—	67	4	no	—
1898	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	complemented
1899	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	complemented
1900	C₂²⋊Q₈	C₂²×D₆₇	1	4	yes	complemented
1901	C₂²⋊Q₈	C₂²×D₆₇	1	4	yes	complemented
1902	#121	—	67	2	no	—
1903	#121	—	67	2	no	—
1904	#121	—	67	1	no	—
1905	#121	—	67	1	no	—
1906	#121	—	67	4	no	—
1907	#121	—	67	4	no	—
1908	#121	—	67	4	no	—
1909	#121	—	67	2	no	—
1910	#121	—	67	2	no	—
1911	#121	—	67	4	no	—
1912	#121	—	67	4	no	—
1913	#121	—	67	4	no	—
1914	#121	—	67	2	no	—
1915	#121	—	67	2	no	—
1916	#121	—	67	2	no	—
1917	#121	—	67	2	no	—
1918	#121	—	67	2	no	—
1919	#121	—	67	2	no	—
1920	#121	—	67	4	no	—
1921	#121	—	67	4	no	—
1922	#121	—	67	4	no	—
1923	#121	—	67	4	no	—
1924	#121	—	67	4	no	—
1925	#121	—	67	4	no	—
1926	#121	—	67	2	no	—
1927	#121	—	67	4	no	—
1928	#121	—	67	4	no	—
1929	#121	—	67	2	no	—
1930	#121	—	67	4	no	—
1931	#121	—	67	4	no	—
1932	#121	—	67	4	no	—
1933	#121	—	67	2	no	—
1934	#121	—	67	2	no	—
1935	#121	—	67	4	no	—
1936	#121	—	67	4	no	—
1937	#121	—	67	2	no	—
1938	#121	—	67	1	no	—
1939	#121	—	67	1	no	—
1940	#121	—	67	2	no	—
1941	#121	—	67	4	no	—
1942	#121	—	67	4	no	—
1943	#121	—	67	2	no	—
1944	#121	—	67	2	no	—
1945	#121	—	67	4	no	—
1946	#121	—	67	4	no	—
1947	#121	—	67	4	no	—
1948	#121	C₂²×D₆₇	1	2	yes	—
1949	#121	C₂²×D₆₇	1	2	yes	—
1950	#121	C₂²×D₆₇	1	4	yes	—
1951	#121	C₂²×D₆₇	1	2	yes	—
1952	#121	C₂²×D₆₇	1	2	yes	complemented
1953	#121	C₂²×D₆₇	1	2	yes	complemented
1954	#121	C₂²×D₆₇	1	4	yes	complemented
1955	#121	C₂²×D₆₇	1	2	yes	complemented
1956	#121	C₂²×D₆₇	1	4	yes	complemented
1957	#120	—	67	4	no	—
1958	#120	—	67	4	no	—
1959	#120	—	67	4	no	—
1960	#120	—	67	4	no	—
1961	#120	—	67	2	no	—
1962	#120	—	67	4	no	—
1963	#120	—	67	4	no	—
1964	#120	—	67	4	no	—
1965	#120	—	67	4	no	—
1966	#120	—	67	4	no	—
1967	#120	—	67	4	no	—
1968	#120	—	67	4	no	—
1969	#120	—	67	4	no	—
1970	#120	—	67	4	no	—
1971	#120	—	67	4	no	—
1972	#120	—	67	4	no	—
1973	#120	—	67	2	no	—
1974	#120	—	67	4	no	—
1975	#120	—	67	4	no	—
1976	#120	—	67	4	no	—
1977	#120	C₂²×D₆₇	1	4	yes	—
1978	#120	C₂²×D₆₇	1	4	yes	—
1979	#120	C₂²×D₆₇	1	4	yes	complemented
1980	C₄×Q₈	—	67	2	no	—
1981	C₄×Q₈	—	67	2	no	—
1982	C₄×Q₈	—	67	2	no	—
1983	C₄×Q₈	—	67	4	no	—
1984	C₄×Q₈	—	67	2	no	—
1985	C₄×Q₈	—	67	2	no	—
1986	C₄×Q₈	—	67	2	no	—
1987	C₄×Q₈	—	67	2	no	—
1988	C₄×Q₈	—	67	2	no	—
1989	C₄×Q₈	—	67	2	no	—
1990	C₄×Q₈	—	67	2	no	—
1991	C₄×Q₈	—	67	2	no	—
1992	C₄×Q₈	—	67	1	no	—
1993	C₄×Q₈	—	67	1	no	—
1994	C₄×Q₈	—	67	2	no	—
1995	C₄×Q₈	C₂²×D₆₇	1	1	yes	characteristic, complemented
1996	C₄×Q₈	C₂²×D₆₇	1	1	yes	characteristic, complemented
1997	C₄×D₄	—	67	1	no	—
1998	C₄×D₄	—	67	2	no	—
1999	C₄×D₄	—	67	1	no	—
2000	C₄×D₄	—	67	1	no	—
2001	C₄×D₄	—	67	2	no	—
2002	C₄×D₄	—	67	1	no	—
2003	C₄×D₄	—	67	4	no	—
2004	C₄×D₄	—	67	2	no	—
2005	C₄×D₄	—	67	4	no	—
2006	C₄×D₄	—	67	2	no	—
2007	C₄×D₄	—	67	2	no	—
2008	C₄×D₄	—	67	4	no	—
2009	C₄×D₄	—	67	4	no	—
2010	C₄×D₄	—	67	4	no	—
2011	C₄×D₄	—	67	2	no	—
2012	C₄×D₄	—	67	2	no	—
2013	C₄×D₄	—	67	2	no	—
2014	C₄×D₄	—	67	2	no	—
2015	C₄×D₄	—	67	2	no	—
2016	C₄×D₄	—	67	2	no	—
2017	C₄×D₄	—	67	2	no	—
2018	C₄×D₄	—	67	2	no	—
2019	C₄×D₄	—	67	2	no	—
2020	C₄×D₄	—	67	2	no	—
2021	C₄×D₄	—	67	2	no	—
2022	C₄×D₄	—	67	4	no	—
2023	C₄×D₄	—	67	4	no	—
2024	C₄×D₄	—	67	2	no	—
2025	C₄×D₄	—	67	2	no	—
2026	C₄×D₄	—	67	4	no	—
2027	C₄×D₄	—	67	4	no	—
2028	C₄×D₄	—	67	4	no	—
2029	C₄×D₄	—	67	2	no	—
2030	C₄×D₄	—	67	4	no	—
2031	C₄×D₄	—	67	4	no	—
2032	C₄×D₄	—	67	4	no	—
2033	C₄×D₄	—	67	4	no	—
2034	C₄×D₄	—	67	4	no	—
2035	C₄×D₄	—	67	4	no	—
2036	C₄×D₄	—	67	4	no	—
2037	C₄×D₄	—	67	4	no	—
2038	C₄×D₄	—	67	4	no	—
2039	C₄×D₄	—	67	4	no	—
2040	C₄×D₄	—	67	4	no	—
2041	C₄×D₄	—	67	4	no	—
2042	C₄×D₄	—	67	4	no	—
2043	C₄×D₄	—	67	4	no	—
2044	C₄×D₄	—	67	4	no	—
2045	C₄×D₄	—	67	2	no	—
2046	C₄×D₄	—	67	2	no	—
2047	C₄×D₄	—	67	4	no	—
2048	C₄×D₄	—	67	2	no	—
2049	C₄×D₄	—	67	2	no	—
2050	C₄×D₄	—	67	2	no	—
2051	C₄×D₄	—	67	2	no	—
2052	C₄×D₄	—	67	2	no	—
2053	C₄×D₄	—	67	1	no	—
2054	C₄×D₄	—	67	2	no	—
2055	C₄×D₄	—	67	1	no	—
2056	C₄×D₄	—	67	1	no	—
2057	C₄×D₄	—	67	2	no	—
2058	C₄×D₄	—	67	1	no	—
2059	C₄×D₄	—	67	4	no	—
2060	C₄×D₄	—	67	2	no	—
2061	C₄×D₄	—	67	4	no	—
2062	C₄×D₄	—	67	2	no	—
2063	C₄×D₄	—	67	2	no	—
2064	C₄×D₄	—	67	2	no	—
2065	C₄×D₄	—	67	2	no	—
2066	C₄×D₄	—	67	2	no	—
2067	C₄×D₄	—	67	2	no	—
2068	C₄×D₄	—	67	2	no	—
2069	C₄×D₄	—	67	2	no	—
2070	C₄×D₄	—	67	4	no	—
2071	C₄×D₄	—	67	4	no	—
2072	C₄×D₄	—	67	4	no	—
2073	C₄×D₄	—	67	4	no	—
2074	C₄×D₄	—	67	4	no	—
2075	C₄×D₄	—	67	4	no	—
2076	C₄×D₄	—	67	4	no	—
2077	C₄×D₄	—	67	4	no	—
2078	C₄×D₄	—	67	4	no	—
2079	C₄×D₄	—	67	4	no	—
2080	C₄×D₄	—	67	1	no	—
2081	C₄×D₄	—	67	2	no	—
2082	C₄×D₄	—	67	1	no	—
2083	C₄×D₄	—	67	1	no	—
2084	C₄×D₄	—	67	2	no	—
2085	C₄×D₄	—	67	1	no	—
2086	C₄×D₄	—	67	2	no	—
2087	C₄×D₄	—	67	2	no	—
2088	C₄×D₄	—	67	2	no	—
2089	C₄×D₄	—	67	2	no	—
2090	C₄×D₄	—	67	2	no	—
2091	C₄×D₄	—	67	1	no	—
2092	C₄×D₄	—	67	1	no	—
2093	C₄×D₄	C₂²×D₆₇	1	1	yes	characteristic
2094	C₄×D₄	C₂²×D₆₇	1	2	yes	—
2095	C₄×D₄	C₂²×D₆₇	1	1	yes	characteristic
2096	C₄×D₄	C₂²×D₆₇	1	1	yes	characteristic
2097	C₄×D₄	C₂²×D₆₇	1	2	yes	—
2098	C₄×D₄	C₂²×D₆₇	1	1	yes	characteristic
2099	C₄×D₄	C₂²×D₆₇	1	2	yes	—
2100	C₄×D₄	C₂²×D₆₇	1	2	yes	—
2101	C₄×D₄	C₂²×D₆₇	1	2	yes	—
2102	C₄×D₄	C₂²×D₆₇	1	4	yes	complemented
2103	C₄×D₄	C₂²×D₆₇	1	2	yes	complemented
2104	C₄×D₄	C₂²×D₆₇	1	4	yes	complemented
2105	C₄×D₄	C₂²×D₆₇	1	4	yes	complemented
2106	C₄×D₄	C₂²×D₆₇	1	2	yes	complemented
2107	C₄×D₄	C₂²×D₆₇	1	2	yes	complemented
2108	C₄×D₄	C₂²×D₆₇	1	1	yes	characteristic, complemented
2109	C₄×D₄	C₂²×D₆₇	1	1	yes	characteristic, complemented
2110	#117	—	67	1	no	—
2111	#117	—	67	2	no	—
2112	#117	—	67	4	no	—
2113	#117	—	67	4	no	—
2114	#117	—	67	2	no	—
2115	#117	—	67	2	no	—
2116	#117	—	67	2	no	—
2117	#117	—	67	2	no	—
2118	#117	—	67	4	no	—
2119	#117	—	67	2	no	—
2120	#117	—	67	2	no	—
2121	#117	—	67	2	no	—
2122	#117	—	67	2	no	—
2123	#117	—	67	4	no	—
2124	#117	—	67	2	no	—
2125	#117	—	67	2	no	—
2126	#117	—	67	4	no	—
2127	#117	—	67	4	no	—
2128	#117	—	67	4	no	—
2129	#117	—	67	4	no	—
2130	#117	—	67	4	no	—
2131	#117	—	67	4	no	—
2132	#117	—	67	4	no	—
2133	#117	—	67	2	no	—
2134	#117	—	67	2	no	—
2135	#117	—	67	4	no	—
2136	#117	—	67	2	no	—
2137	#117	—	67	2	no	—
2138	#117	—	67	2	no	—
2139	#117	C₂²×D₆₇	1	1	yes	characteristic
2140	#117	C₂²×D₆₇	1	2	yes	complemented
2141	C₂×C₄⋊C₄	—	67	2	no	—
2142	C₂×C₄⋊C₄	—	67	1	no	—
2143	C₂×C₄⋊C₄	—	67	2	no	—
2144	C₂×C₄⋊C₄	—	67	2	no	—
2145	C₂×C₄⋊C₄	—	67	4	no	—
2146	C₂×C₄⋊C₄	—	67	4	no	—
2147	C₂×C₄⋊C₄	—	67	4	no	—
2148	C₂×C₄⋊C₄	—	67	1	no	—
2149	C₂×C₄⋊C₄	—	67	1	no	—
2150	C₂×C₄⋊C₄	—	67	2	no	—
2151	C₂×C₄⋊C₄	—	67	2	no	—
2152	C₂×C₄⋊C₄	—	67	1	no	—
2153	C₂×C₄⋊C₄	—	67	1	no	—
2154	C₂×C₄⋊C₄	—	67	2	no	—
2155	C₂×C₄⋊C₄	—	67	2	no	—
2156	C₂×C₄⋊C₄	—	67	4	no	—
2157	C₂×C₄⋊C₄	—	67	2	no	—
2158	C₂×C₄⋊C₄	—	67	4	no	—
2159	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
2160	C₂×C₄⋊C₄	C₂²×D₆₇	1	2	yes	complemented
2161	C₂×C₂²⋊C₄	—	67	2	no	—
2162	C₂×C₂²⋊C₄	—	67	4	no	—
2163	C₂×C₂²⋊C₄	—	67	4	no	—
2164	C₂×C₂²⋊C₄	—	67	4	no	—
2165	C₂×C₂²⋊C₄	—	67	4	no	—
2166	C₂×C₂²⋊C₄	—	67	2	no	—
2167	C₂×C₂²⋊C₄	—	67	2	no	—
2168	C₂×C₂²⋊C₄	—	67	4	no	—
2169	C₂×C₂²⋊C₄	—	67	4	no	—
2170	C₂×C₂²⋊C₄	—	67	4	no	—
2171	C₂×C₂²⋊C₄	—	67	2	no	—
2172	C₂×C₂²⋊C₄	—	67	2	no	—
2173	C₂×C₂²⋊C₄	—	67	2	no	—
2174	C₂×C₂²⋊C₄	—	67	2	no	—
2175	C₂×C₂²⋊C₄	—	67	2	no	—
2176	C₂×C₂²⋊C₄	—	67	2	no	—
2177	C₂×C₂²⋊C₄	—	67	2	no	—
2178	C₂×C₂²⋊C₄	—	67	2	no	—
2179	C₂×C₂²⋊C₄	—	67	4	no	—
2180	C₂×C₂²⋊C₄	—	67	4	no	—
2181	C₂×C₂²⋊C₄	—	67	4	no	—
2182	C₂×C₂²⋊C₄	—	67	4	no	—
2183	C₂×C₂²⋊C₄	—	67	4	no	—
2184	C₂×C₂²⋊C₄	—	67	4	no	—
2185	C₂×C₂²⋊C₄	C₂²×D₆₇	1	2	yes	—
2186	C₂×C₂²⋊C₄	C₂²×D₆₇	1	4	yes	complemented
2187	C₂×C₄²	—	67	4	no	—
2188	C₂×C₄²	—	67	1	no	—
2189	C₂×C₄²	—	67	1	no	—
2190	C₂×C₄²	—	67	1	no	—
2191	C₂×C₄²	—	67	4	no	—
2192	C₂×C₄²	—	67	4	no	—
2193	C₂×C₄²	—	67	1	no	—
2194	C₂×C₄²	—	67	1	no	—
2195	C₂×C₄²	—	67	1	no	—
2196	C₂×C₄²	—	67	1	no	—
2197	C₂×C₄²	—	67	1	no	—
2198	C₂×C₄²	—	67	1	no	—
2199	C₂×C₄²	—	67	1	no	—
2200	C₂×C₄²	—	67	1	no	—
2201	C₂×C₄²	—	67	2	no	—
2202	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
2203	C₂×C₄²	C₂²×D₆₇	1	2	yes	complemented
2204	C₂⁴	—	268	4	no	—
2205	C₂⁴	—	268	4	no	—
2206	C₂⁴	—	67	2	no	—
2207	C₂⁴	—	67	4	no	—
2208	C₂⁴	—	67	2	no	—
2209	C₂⁴	—	67	2	no	—
2210	C₂⁴	—	67	2	no	—
2211	C₂⁴	—	67	2	no	—
2212	C₂⁴	—	67	1	no	—
2213	C₂⁴	—	134	8	no	—
2214	C₂⁴	C₂³×D₆₇	1	2	yes	—
2215	C₂⁴	C₂³×D₆₇	1	4	yes	—
2216	#41	—	2	4	no	—
2217	#41	—	2	8	no	—
2218	#41	—	4	8	no	—
2219	#41	—	4	8	no	—
2220	#41	—	4	4	no	—
2221	#41	—	4	4	no	—
2222	#41	—	268	8	no	—
2223	#41	—	268	4	no	—
2224	#41	—	268	4	no	—
2225	#41	—	268	8	no	—
2226	#41	—	268	4	no	—
2227	#41	—	268	4	no	—
2228	#41	—	134	8	no	—
2229	#41	—	134	8	no	—
2230	#41	—	134	8	no	—
2231	#41	—	134	16	no	—
2232	#41	—	134	8	no	—
2233	#41	—	134	4	no	—
2234	C₂×Q₈	—	4	4	no	—
2235	C₂×Q₈	—	268	4	no	—
2236	C₂×Q₈	—	67	2	no	—
2237	C₂×Q₈	—	67	2	no	—
2238	C₂×Q₈	—	67	4	no	—
2239	C₂×Q₈	—	67	2	no	—
2240	C₂×Q₈	—	67	2	no	—
2241	C₂×Q₈	—	67	1	no	—
2242	C₂×Q₈	C₂³×D₆₇	1	2	yes	—
2243	C₂×Q₈	C₂³×D₆₇	1	1	yes	characteristic
2244	C₂×Q₈	C₂³×D₆₇	1	4	yes	—
2245	C₂×D₄	—	2	4	no	—
2246	C₂×D₄	—	2	8	no	—
2247	C₂×D₄	—	4	4	no	—
2248	C₂×D₄	—	4	8	no	—
2249	C₂×D₄	—	268	8	no	—
2250	C₂×D₄	—	268	8	no	—
2251	C₂×D₄	—	268	8	no	—
2252	C₂×D₄	—	268	4	no	—
2253	C₂×D₄	—	67	2	no	—
2254	C₂×D₄	—	67	4	no	—
2255	C₂×D₄	—	67	4	no	—
2256	C₂×D₄	—	67	4	no	—
2257	C₂×D₄	—	67	4	no	—
2258	C₂×D₄	—	67	4	no	—
2259	C₂×D₄	—	67	2	no	—
2260	C₂×D₄	—	67	8	no	—
2261	C₂×D₄	—	67	2	no	—
2262	C₂×D₄	—	67	4	no	—
2263	C₂×D₄	—	67	2	no	—
2264	C₂×D₄	—	67	4	no	—
2265	C₂×D₄	—	67	4	no	—
2266	C₂×D₄	—	67	4	no	—
2267	C₂×D₄	—	67	4	no	—
2268	C₂×D₄	—	67	2	no	—
2269	C₂×D₄	—	67	2	no	—
2270	C₂×D₄	—	67	2	no	—
2271	C₂×D₄	—	67	2	no	—
2272	C₂×D₄	—	67	2	no	—
2273	C₂×D₄	—	67	4	no	—
2274	C₂×D₄	—	67	1	no	—
2275	C₂×D₄	—	67	2	no	—
2276	C₂×D₄	—	67	2	no	—
2277	C₂×D₄	—	67	2	no	—
2278	C₂×D₄	—	67	1	no	—
2279	C₂×D₄	—	67	1	no	—
2280	C₂×D₄	—	134	4	no	—
2281	C₂×D₄	—	134	4	no	—
2282	C₂×D₄	—	134	8	no	—
2283	C₂×D₄	—	134	4	no	—
2284	C₂×D₄	—	134	8	no	—
2285	C₂×D₄	—	134	8	no	—
2286	C₂×D₄	—	134	16	no	—
2287	C₂×D₄	—	134	8	no	—
2288	C₂×D₄	—	134	16	no	—
2289	C₂×D₄	—	134	16	no	—
2290	C₂×D₄	—	134	4	no	—
2291	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2292	C₂×D₄	C₂³×D₆₇	1	1	yes	characteristic
2293	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2294	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2295	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2296	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2297	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2298	C₂×D₄	C₂³×D₆₇	1	1	yes	characteristic
2299	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2300	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2301	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2302	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2303	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2304	C₂×D₄	C₂³×D₆₇	1	1	yes	characteristic
2305	C₂²×C₄	—	2	8	no	—
2306	C₂²×C₄	—	4	8	no	—
2307	C₂²×C₄	—	268	4	no	—
2308	C₂²×C₄	—	268	4	no	—
2309	C₂²×C₄	—	268	4	no	—
2310	C₂²×C₄	—	268	4	no	—
2311	C₂²×C₄	—	268	4	no	—
2312	C₂²×C₄	—	268	4	no	—
2313	C₂²×C₄	—	268	4	no	—
2314	C₂²×C₄	—	268	4	no	—
2315	C₂²×C₄	—	268	4	no	—
2316	C₂²×C₄	—	268	4	no	—
2317	C₂²×C₄	—	268	8	no	—
2318	C₂²×C₄	—	268	2	no	—
2319	C₂²×C₄	—	268	4	no	—
2320	C₂²×C₄	—	67	1	no	—
2321	C₂²×C₄	—	67	4	no	—
2322	C₂²×C₄	—	67	4	no	—
2323	C₂²×C₄	—	67	2	no	—
2324	C₂²×C₄	—	67	2	no	—
2325	C₂²×C₄	—	67	4	no	—
2326	C₂²×C₄	—	67	2	no	—
2327	C₂²×C₄	—	67	2	no	—
2328	C₂²×C₄	—	67	1	no	—
2329	C₂²×C₄	—	67	1	no	—
2330	C₂²×C₄	—	67	4	no	—
2331	C₂²×C₄	—	67	2	no	—
2332	C₂²×C₄	—	67	2	no	—
2333	C₂²×C₄	—	67	2	no	—
2334	C₂²×C₄	—	67	2	no	—
2335	C₂²×C₄	—	67	2	no	—
2336	C₂²×C₄	—	67	2	no	—
2337	C₂²×C₄	—	67	4	no	—
2338	C₂²×C₄	—	67	2	no	—
2339	C₂²×C₄	—	67	4	no	—
2340	C₂²×C₄	—	67	2	no	—
2341	C₂²×C₄	—	67	2	no	—
2342	C₂²×C₄	—	67	1	no	—
2343	C₂²×C₄	—	67	1	no	—
2344	C₂²×C₄	—	67	1	no	—
2345	C₂²×C₄	—	67	4	no	—
2346	C₂²×C₄	—	67	4	no	—
2347	C₂²×C₄	—	67	2	no	—
2348	C₂²×C₄	—	67	1	no	—
2349	C₂²×C₄	—	67	1	no	—
2350	C₂²×C₄	—	67	1	no	—
2351	C₂²×C₄	—	67	1	no	—
2352	C₂²×C₄	—	67	1	no	—
2353	C₂²×C₄	—	67	1	no	—
2354	C₂²×C₄	—	67	1	no	—
2355	C₂²×C₄	—	67	4	no	—
2356	C₂²×C₄	—	67	2	no	—
2357	C₂²×C₄	—	67	2	no	—
2358	C₂²×C₄	—	67	2	no	—
2359	C₂²×C₄	—	67	2	no	—
2360	C₂²×C₄	—	67	1	no	—
2361	C₂²×C₄	—	67	1	no	—
2362	C₂²×C₄	—	67	2	no	—
2363	C₂²×C₄	—	67	2	no	—
2364	C₂²×C₄	—	134	4	no	—
2365	C₂²×C₄	—	134	4	no	—
2366	C₂²×C₄	—	134	8	no	—
2367	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2368	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2369	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2370	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2371	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2372	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2373	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
2374	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2375	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2376	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2377	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2378	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
2379	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
2380	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
2381	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2382	C₄⋊C₄	—	67	2	no	—
2383	C₄⋊C₄	—	67	1	no	—
2384	C₄⋊C₄	—	67	2	no	—
2385	C₄⋊C₄	—	67	1	no	—
2386	C₄⋊C₄	—	67	2	no	—
2387	C₄⋊C₄	—	67	2	no	—
2388	C₄⋊C₄	—	67	2	no	—
2389	C₄⋊C₄	—	67	1	no	—
2390	C₄⋊C₄	—	67	2	no	—
2391	C₄⋊C₄	—	67	1	no	—
2392	C₄⋊C₄	—	67	2	no	—
2393	C₄⋊C₄	—	67	2	no	—
2394	C₄⋊C₄	—	67	4	no	—
2395	C₄⋊C₄	—	67	4	no	—
2396	C₄⋊C₄	—	67	4	no	—
2397	C₄⋊C₄	—	67	2	no	—
2398	C₄⋊C₄	—	67	4	no	—
2399	C₄⋊C₄	—	67	2	no	—
2400	C₄⋊C₄	—	67	4	no	—
2401	C₄⋊C₄	—	67	2	no	—
2402	C₄⋊C₄	—	67	2	no	—
2403	C₄⋊C₄	—	67	4	no	—
2404	C₄⋊C₄	—	67	4	no	—
2405	C₄⋊C₄	—	67	4	no	—
2406	C₄⋊C₄	—	67	4	no	—
2407	C₄⋊C₄	—	67	4	no	—
2408	C₄⋊C₄	—	67	4	no	—
2409	C₄⋊C₄	—	67	4	no	—
2410	C₄⋊C₄	—	67	2	no	—
2411	C₄⋊C₄	—	67	2	no	—
2412	C₄⋊C₄	—	67	2	no	—
2413	C₄⋊C₄	—	67	4	no	—
2414	C₄⋊C₄	—	67	2	no	—
2415	C₄⋊C₄	—	67	2	no	—
2416	C₄⋊C₄	—	67	4	no	—
2417	C₄⋊C₄	—	67	2	no	—
2418	C₄⋊C₄	—	67	4	no	—
2419	C₄⋊C₄	—	67	4	no	—
2420	C₄⋊C₄	—	67	2	no	—
2421	C₄⋊C₄	—	67	2	no	—
2422	C₄⋊C₄	—	67	2	no	—
2423	C₄⋊C₄	—	67	2	no	—
2424	C₄⋊C₄	—	67	2	no	—
2425	C₄⋊C₄	C₂³×D₆₇	1	1	yes	characteristic
2426	C₄⋊C₄	C₂³×D₆₇	1	1	yes	characteristic
2427	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2428	C₄⋊C₄	C₂³×D₆₇	1	1	yes	characteristic
2429	C₄⋊C₄	C₂³×D₆₇	1	1	yes	characteristic
2430	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2431	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2432	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2433	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2434	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2435	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2436	C₂²⋊C₄	—	67	2	no	—
2437	C₂²⋊C₄	—	67	2	no	—
2438	C₂²⋊C₄	—	67	2	no	—
2439	C₂²⋊C₄	—	67	2	no	—
2440	C₂²⋊C₄	—	67	2	no	—
2441	C₂²⋊C₄	—	67	4	no	—
2442	C₂²⋊C₄	—	67	4	no	—
2443	C₂²⋊C₄	—	67	2	no	—
2444	C₂²⋊C₄	—	67	4	no	—
2445	C₂²⋊C₄	—	67	2	no	—
2446	C₂²⋊C₄	—	67	4	no	—
2447	C₂²⋊C₄	—	67	4	no	—
2448	C₂²⋊C₄	—	67	4	no	—
2449	C₂²⋊C₄	—	67	2	no	—
2450	C₂²⋊C₄	—	67	4	no	—
2451	C₂²⋊C₄	—	67	4	no	—
2452	C₂²⋊C₄	—	67	4	no	—
2453	C₂²⋊C₄	—	67	4	no	—
2454	C₂²⋊C₄	—	67	4	no	—
2455	C₂²⋊C₄	—	67	2	no	—
2456	C₂²⋊C₄	—	67	4	no	—
2457	C₂²⋊C₄	—	67	4	no	—
2458	C₂²⋊C₄	—	67	2	no	—
2459	C₂²⋊C₄	—	67	2	no	—
2460	C₂²⋊C₄	—	67	2	no	—
2461	C₂²⋊C₄	—	67	2	no	—
2462	C₂²⋊C₄	—	67	2	no	—
2463	C₂²⋊C₄	—	67	2	no	—
2464	C₂²⋊C₄	—	67	2	no	—
2465	C₂²⋊C₄	—	67	2	no	—
2466	C₂²⋊C₄	—	67	4	no	—
2467	C₂²⋊C₄	—	67	4	no	—
2468	C₂²⋊C₄	—	67	4	no	—
2469	C₂²⋊C₄	—	67	2	no	—
2470	C₂²⋊C₄	—	67	4	no	—
2471	C₂²⋊C₄	—	67	2	no	—
2472	C₂²⋊C₄	—	67	2	no	—
2473	C₂²⋊C₄	—	67	2	no	—
2474	C₂²⋊C₄	—	67	4	no	—
2475	C₂²⋊C₄	—	67	2	no	—
2476	C₂²⋊C₄	—	67	2	no	—
2477	C₂²⋊C₄	—	67	2	no	—
2478	C₂²⋊C₄	—	67	4	no	—
2479	C₂²⋊C₄	—	67	4	no	—
2480	C₂²⋊C₄	—	67	4	no	—
2481	C₂²⋊C₄	—	67	4	no	—
2482	C₂²⋊C₄	—	67	4	no	—
2483	C₂²⋊C₄	—	67	2	no	—
2484	C₂²⋊C₄	—	67	2	no	—
2485	C₂²⋊C₄	—	67	2	no	—
2486	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2487	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2488	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2489	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2490	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2491	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2492	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2493	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2494	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2495	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2496	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2497	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2498	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2499	C₄²	—	67	1	no	—
2500	C₄²	—	67	1	no	—
2501	C₄²	—	67	1	no	—
2502	C₄²	—	67	1	no	—
2503	C₄²	—	67	1	no	—
2504	C₄²	—	67	1	no	—
2505	C₄²	—	67	1	no	—
2506	C₄²	—	67	1	no	—
2507	C₄²	—	67	1	no	—
2508	C₄²	—	67	1	no	—
2509	C₄²	—	67	4	no	—
2510	C₄²	—	67	4	no	—
2511	C₄²	—	67	4	no	—
2512	C₄²	—	67	4	no	—
2513	C₄²	—	67	4	no	—
2514	C₄²	—	67	2	no	—
2515	C₄²	—	67	4	no	—
2516	C₄²	—	67	2	no	—
2517	C₄²	—	67	1	no	—
2518	C₄²	—	67	1	no	—
2519	C₄²	—	67	2	no	—
2520	C₄²	—	67	4	no	—
2521	C₄²	C₂³×D₆₇	1	1	yes	characteristic
2522	C₄²	C₂³×D₆₇	1	1	yes	characteristic
2523	C₄²	C₂³×D₆₇	1	2	yes	—
2524	C₄²	C₂³×D₆₇	1	2	yes	—
2525	C₄²	C₂³×D₆₇	1	1	yes	characteristic
2526	C₄²	C₂³×D₆₇	1	1	yes	characteristic
2527	C₄²	C₂³×D₆₇	1	2	yes	—
2528	C₂³	—	2	4	no	—
2529	C₂³	—	2	4	no	—
2530	C₂³	—	2	8	no	—
2531	C₂³	—	4	2	no	—
2532	C₂³	—	4	4	no	—
2533	C₂³	—	4	4	no	—
2534	C₂³	—	268	2	no	—
2535	C₂³	—	268	2	no	—
2536	C₂³	—	268	2	no	—
2537	C₂³	—	268	2	no	—
2538	C₂³	—	268	2	no	—
2539	C₂³	—	268	2	no	—
2540	C₂³	—	268	2	no	—
2541	C₂³	—	268	4	no	—
2542	C₂³	—	268	4	no	—
2543	C₂³	—	268	32	no	—
2544	C₂³	—	67	8	no	—
2545	C₂³	—	67	1	no	—
2546	C₂³	—	67	2	no	—
2547	C₂³	—	67	1	no	—
2548	C₂³	—	67	2	no	—
2549	C₂³	—	67	2	no	—
2550	C₂³	—	134	4	no	—
2551	C₂³	—	134	4	no	—
2552	C₂³	—	134	4	no	—
2553	C₂³	—	134	4	no	—
2554	C₂³	—	134	4	no	—
2555	C₂³	—	134	8	no	—
2556	C₂³	—	134	2	no	—
2557	C₂³	—	134	2	no	—
2558	C₂³	—	134	4	no	—
2559	C₂³	—	134	4	no	—
2560	C₂³	—	134	2	no	—
2561	C₂³	C₂⁴×D₆₇	1	2	yes	—
2562	C₂³	C₂⁴×D₆₇	1	2	yes	—
2563	C₂³	C₂⁴×D₆₇	1	4	yes	—
2564	C₂³	C₂⁴×D₆₇	1	2	yes	—
2565	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
2566	Q₈	—	2	2	no	—
2567	Q₈	—	2	4	no	—
2568	Q₈	—	4	4	no	—
2569	Q₈	—	268	4	no	—
2570	Q₈	—	268	2	no	—
2571	Q₈	—	268	2	no	—
2572	Q₈	—	134	4	no	—
2573	Q₈	—	134	4	no	—
2574	Q₈	—	134	2	no	—
2575	D₄	—	2	4	no	—
2576	D₄	—	2	8	no	—
2577	D₄	—	2	4	no	—
2578	D₄	—	2	8	no	—
2579	D₄	—	2	2	no	—
2580	D₄	—	2	4	no	—
2581	D₄	—	2	2	no	—
2582	D₄	—	2	4	no	—
2583	D₄	—	4	4	no	—
2584	D₄	—	4	4	no	—
2585	D₄	—	4	4	no	—
2586	D₄	—	4	4	no	—
2587	D₄	—	4	2	no	—
2588	D₄	—	268	4	no	—
2589	D₄	—	268	4	no	—
2590	D₄	—	268	4	no	—
2591	D₄	—	268	4	no	—
2592	D₄	—	268	4	no	—
2593	D₄	—	268	4	no	—
2594	D₄	—	268	2	no	—
2595	D₄	—	67	8	no	—
2596	D₄	—	67	4	no	—
2597	D₄	—	134	4	no	—
2598	D₄	—	134	4	no	—
2599	D₄	—	134	4	no	—
2600	D₄	—	134	4	no	—
2601	D₄	—	134	4	no	—
2602	D₄	—	134	4	no	—
2603	D₄	—	134	8	no	—
2604	D₄	—	134	4	no	—
2605	D₄	—	134	4	no	—
2606	D₄	—	134	8	no	—
2607	D₄	—	134	8	no	—
2608	D₄	—	134	8	no	—
2609	D₄	—	134	4	no	—
2610	D₄	—	134	8	no	—
2611	D₄	—	134	4	no	—
2612	D₄	—	134	2	no	—
2613	D₄	—	134	2	no	—
2614	D₄	#41×D₆₇	1	4	yes	complemented
2615	C₂×C₄	—	2	4	no	—
2616	C₂×C₄	—	2	2	no	—
2617	C₂×C₄	—	2	4	no	—
2618	C₂×C₄	—	2	4	no	—
2619	C₂×C₄	—	2	4	no	—
2620	C₂×C₄	—	2	4	no	—
2621	C₂×C₄	—	2	4	no	—
2622	C₂×C₄	—	2	4	no	—
2623	C₂×C₄	—	2	8	no	—
2624	C₂×C₄	—	4	4	no	—
2625	C₂×C₄	—	4	4	no	—
2626	C₂×C₄	—	4	4	no	—
2627	C₂×C₄	—	4	1	no	—
2628	C₂×C₄	—	4	2	no	—
2629	C₂×C₄	—	268	2	no	—
2630	C₂×C₄	—	268	2	no	—
2631	C₂×C₄	—	268	2	no	—
2632	C₂×C₄	—	268	2	no	—
2633	C₂×C₄	—	268	2	no	—
2634	C₂×C₄	—	268	2	no	—
2635	C₂×C₄	—	268	2	no	—
2636	C₂×C₄	—	268	2	no	—
2637	C₂×C₄	—	268	4	no	—
2638	C₂×C₄	—	268	4	no	—
2639	C₂×C₄	—	268	1	no	—
2640	C₂×C₄	—	268	1	no	—
2641	C₂×C₄	—	268	4	no	—
2642	C₂×C₄	—	268	2	no	—
2643	C₂×C₄	—	268	2	no	—
2644	C₂×C₄	—	268	2	no	—
2645	C₂×C₄	—	268	2	no	—
2646	C₂×C₄	—	268	2	no	—
2647	C₂×C₄	—	268	4	no	—
2648	C₂×C₄	—	268	1	no	—
2649	C₂×C₄	—	268	4	no	—
2650	C₂×C₄	—	268	4	no	—
2651	C₂×C₄	—	67	1	no	—
2652	C₂×C₄	—	67	4	no	—
2653	C₂×C₄	—	67	1	no	—
2654	C₂×C₄	—	67	1	no	—
2655	C₂×C₄	—	67	2	no	—
2656	C₂×C₄	—	67	4	no	—
2657	C₂×C₄	—	67	4	no	—
2658	C₂×C₄	—	67	2	no	—
2659	C₂×C₄	—	67	1	no	—
2660	C₂×C₄	—	67	1	no	—
2661	C₂×C₄	—	67	1	no	—
2662	C₂×C₄	—	67	2	no	—
2663	C₂×C₄	—	67	2	no	—
2664	C₂×C₄	—	67	2	no	—
2665	C₂×C₄	—	134	2	no	—
2666	C₂×C₄	—	134	2	no	—
2667	C₂×C₄	—	134	2	no	—
2668	C₂×C₄	—	134	2	no	—
2669	C₂×C₄	—	134	8	no	—
2670	C₂×C₄	—	134	2	no	—
2671	C₂×C₄	—	134	8	no	—
2672	C₂×C₄	—	134	8	no	—
2673	C₂×C₄	—	134	2	no	—
2674	C₂×C₄	—	134	4	no	—
2675	C₂×C₄	—	134	2	no	—
2676	C₂×C₄	—	134	4	no	—
2677	C₂×C₄	—	134	2	no	—
2678	C₂×C₄	—	134	2	no	—
2679	C₂×C₄	—	134	4	no	—
2680	C₂×C₄	—	134	2	no	—
2681	C₂×C₄	—	134	2	no	—
2682	C₂×C₄	—	134	4	no	—
2683	C₂×C₄	—	134	4	no	—
2684	C₂×C₄	—	134	4	no	—
2685	C₂×C₄	—	134	4	no	—
2686	C₂×C₄	#14524088	1	4	yes	complemented
2687	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2688	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2689	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2690	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2691	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2692	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2693	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
2694	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2695	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2696	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2697	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2698	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2699	C₂²	—	2	1	no	—
2700	C₂²	—	2	2	no	—
2701	C₂²	—	2	1	no	—
2702	C₂²	—	2	2	no	—
2703	C₂²	—	2	2	no	—
2704	C₂²	—	2	4	no	—
2705	C₂²	—	2	2	no	—
2706	C₂²	—	2	2	no	—
2707	C₂²	—	2	2	no	—
2708	C₂²	—	2	4	no	—
2709	C₂²	—	2	2	no	—
2710	C₂²	—	2	4	no	—
2711	C₂²	—	2	2	no	—
2712	C₂²	—	4	8	no	—
2713	C₂²	—	8	8	no	—
2714	C₂²	—	268	8	no	—
2715	C₂²	—	268	8	no	—
2716	C₂²	—	268	8	no	—
2717	C₂²	—	268	8	no	—
2718	C₂²	—	268	8	no	—
2719	C₂²	—	536	8	no	—
2720	C₂²	—	67	2	no	—
2721	C₂²	—	67	4	no	—
2722	C₂²	—	67	2	no	—
2723	C₂²	—	134	8	no	—
2724	C₂²	—	134	2	no	—
2725	C₂²	—	134	2	no	—
2726	C₂²	—	134	2	no	—
2727	C₂²	—	134	2	no	—
2728	C₂²	—	134	2	no	—
2729	C₂²	—	134	2	no	—
2730	C₂²	—	134	1	no	—
2731	C₂²	—	134	1	no	—
2732	C₂²	—	134	1	no	—
2733	C₂²	—	134	2	no	—
2734	C₂²	—	134	1	no	—
2735	C₂²	—	134	2	no	—
2736	C₂²	C₂×#41×D₆₇	1	4	yes	—
2737	C₂²	C₂×#14524088	1	2	yes	—
2738	C₂²	C₂⁵×D₆₇	1	1	yes	characteristic
2739	C₄	—	2	1	no	—
2740	C₄	—	2	2	no	—
2741	C₄	—	2	2	no	—
2742	C₄	—	2	2	no	—
2743	C₄	—	2	2	no	—
2744	C₄	—	2	4	no	—
2745	C₄	—	2	1	no	—
2746	C₄	—	2	2	no	—
2747	C₄	—	2	1	no	—
2748	C₄	—	67	2	no	—
2749	C₄	—	134	1	no	—
2750	C₄	—	134	4	no	—
2751	C₄	—	134	2	no	—
2752	C₄	—	134	1	no	—
2753	C₄	—	134	1	no	—
2754	C₄	—	134	2	no	—
2755	C₄	—	134	2	no	—
2756	C₄	—	134	2	no	—
2757	C₄	—	134	1	no	—
2758	C₄	—	134	4	no	—
2759	C₄	—	134	2	no	—
2760	C₄	—	134	1	no	—
2761	C₄	C₂×#41×D₆₇	1	2	yes	—
2762	C₄	C₂×#14524088	1	2	yes	—
2763	C₄	C₂×#14524088	1	2	yes	—
2764	C₂	—	2	2	no	—
2765	C₂	—	2	4	no	—
2766	C₂	—	4	2	no	—
2767	C₂	—	4	2	no	—
2768	C₂	—	4	4	no	—
2769	C₂	—	268	2	no	—
2770	C₂	—	268	2	no	—
2771	C₂	—	134	2	no	—
2772	C₂	—	134	2	no	—
2773	C₂	—	134	4	no	—
2774	C₂	C₂²×#41×D₆₇	1	1	yes	characteristic
2775	C₂	C₂²×#14524088	1	1	yes	characteristic
2776	C₂	#585×D₆₇	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂⁴×D₆₇
commutator, socle, cosocle	C₂²×C₆₇	C₂⁶
Frattini	C₂²	C₂⁵×D₆₇
Fitting	D₄×#41×C₆₇	C₂
hypercenter	D₄×#41	D₆₇
hypocenter	C₆₇	#62773
LCS	G ▷ C₂²×C₆₇ ▷ C₆₇
UCS	C₁ ◁ C₂×C₄ ◁ D₄×#41

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. #22574261	C₂	semidirect
2. #22574259	C₂	semidirect
3. #22574251	C₂	semidirect
4. #22574240	C₂	semidirect
5. #22574238	C₂	semidirect
6. #22574232	C₂	semidirect
7. #22574144	C₂	semidirect
8. #22574142	C₂	semidirect
9. #22574134	C₂	semidirect
10. #22574059	C₂	semidirect
11. #22574053	C₂	semidirect
12. #22574045	C₂	semidirect
13. #22574036	C₂	semidirect
14. #22574004	C₂	semidirect
15. #22573965	C₂	semidirect
16. #22573911	C₂	semidirect
17. #22573891	C₂	semidirect
18. #22573837	C₂	semidirect
19. #22573817	C₂	semidirect
20. #22573813	C₂	semidirect
21. #22573811	C₂	semidirect
22. #22573773	C₂	semidirect
23. #22573769	C₂	semidirect
24. #22573767	C₂	semidirect
25. #22573695	C₂	semidirect
26. #41×C₂²⋊D₆₇	C₂	semidirect
27. #22573623	C₂	semidirect
28. #22573616	C₂	semidirect
29. #22573504	C₂	semidirect
30. #22573502	C₂	semidirect
31. C₂×#16863903	C₂	semidirect
32. #525×D₆₇	C₂	semidirect
33. C₄×#14524088	C₂	semidirect
34. C₂×C₄×D₄×D₆₇	C₂	semidirect
35. D₄×#41×C₆₇	C₂	semidirect
37. C₂×#41×D₆₇	C₂²	semidirect
39. C₂³×C₄×D₆₇	C₂²	semidirect
40. #16864132	C₂²	semidirect
41. #16864130	C₂²	semidirect
42. #16864129	C₂²	semidirect
43. #16864119	C₂²	semidirect
44. #16864117	C₂²	semidirect
45. #16864116	C₂²	semidirect
46. #16864111	C₂²	semidirect
47. #16864111	C₂²	semidirect
48. #16864110	C₂²	semidirect
49. #16864107	C₂²	semidirect
50. #16864107	C₂²	semidirect
51. #16864106	C₂²	semidirect
52. #16864105	C₂²	semidirect
53. #16864104	C₂²	semidirect
54. #16864103	C₂²	semidirect
55. #16864101	C₂²	semidirect
56. #16864100	C₂²	semidirect
57. #16864100	C₂²	semidirect
58. #16864098	C₂²	semidirect
59. #16864096	C₂²	semidirect
60. #16864096	C₂²	semidirect
61. #16864095	C₂²	semidirect
62. #16864094	C₂²	semidirect
63. #16864093	C₂²	semidirect
64. #16864093	C₂²	semidirect
65. #16864093	C₂²	semidirect
66. #16864093	C₂²	semidirect
67. #16864092	C₂²	semidirect
68. #16864091	C₂²	semidirect
69. #16864091	C₂²	semidirect
70. #16864089	C₂²	semidirect
71. #16864089	C₂²	semidirect
72. #16864088	C₂²	semidirect
73. #16864087	C₂²	semidirect
74. #16864086	C₂²	semidirect
75. #16864086	C₂²	semidirect
76. #16864083	C₂²	semidirect
77. #16864081	C₂²	semidirect
78. #16864080	C₂²	semidirect
79. #16864077	C₂²	semidirect
80. #16864077	C₂²	semidirect
81. #16864076	C₂²	semidirect
82. #16864076	C₂²	semidirect
83. #16864075	C₂²	semidirect
84. #16864075	C₂²	semidirect
85. #16864074	C₂²	semidirect
86. #16864073	C₂²	semidirect
87. #16864073	C₂²	semidirect
88. #16864072	C₂²	semidirect
89. #16864072	C₂²	semidirect
90. #16864069	C₂²	semidirect
91. #16864066	C₂²	semidirect
92. #16864065	C₂²	semidirect
93. #16864061	C₂²	semidirect
94. Q₈×C₂²⋊D₆₇	C₂²	semidirect
95. #16864057	C₂²	semidirect
96. #16864054	C₂²	semidirect
97. #16864053	C₂²	semidirect
98. #16864051	C₂²	semidirect
99. #16864050	C₂²	semidirect
100. #16864049	C₂²	semidirect
101. #16864046	C₂²	semidirect
102. #16864046	C₂²	semidirect
103. #16864045	C₂²	semidirect
104. #16864045	C₂²	semidirect
105. #16864043	C₂²	semidirect
106. #16864043	C₂²	semidirect
107. #16864043	C₂²	semidirect
108. #16864042	C₂²	semidirect
109. #16864041	C₂²	semidirect
110. #16864040	C₂²	semidirect
111. #16864040	C₂²	semidirect
112. #16864040	C₂²	semidirect
113. #16864040	C₂²	semidirect
114. #16864039	C₂²	semidirect
115. #16864036	C₂²	semidirect
116. #16864035	C₂²	semidirect
117. #16864035	C₂²	semidirect
118. #16864035	C₂²	semidirect
119. #16864034	C₂²	semidirect
120. #16864034	C₂²	semidirect
121. #16864033	C₂²	semidirect
122. #16864033	C₂²	semidirect
123. #16864033	C₂²	semidirect
124. #16864031	C₂²	semidirect
125. #16864031	C₂²	semidirect
126. #16864030	C₂²	semidirect
127. D₄×C₂²⋊D₆₇	C₂²	semidirect
128. D₄×C₂²⋊D₆₇	C₂²	semidirect
129. D₄×C₂²⋊D₆₇	C₂²	semidirect
130. #16864028	C₂²	semidirect
131. #16864023	C₂²	semidirect
132. #16864021	C₂²	semidirect
133. #16864020	C₂²	semidirect
134. #16864013	C₂²	semidirect
135. #16864010	C₂²	semidirect
136. #16864000	C₂²	semidirect
137. #16863999	C₂²	semidirect
138. #16863996	C₂²	semidirect
139. #16863995	C₂²	semidirect
140. #16863992	C₂²	semidirect
141. #16863992	C₂²	semidirect
142. #16863991	C₂²	semidirect
143. #16863989	C₂²	semidirect
144. #16863989	C₂²	semidirect
145. #16863982	C₂²	semidirect
146. #16863982	C₂²	semidirect
147. #16863981	C₂²	semidirect
148. #16863981	C₂²	semidirect
149. #16863980	C₂²	semidirect
150. #16863978	C₂²	semidirect
151. #16863978	C₂²	semidirect
152. #16863978	C₂²	semidirect
153. #16863975	C₂²	semidirect
154. #16863962	C₂²	semidirect
155. #16863959	C₂²	semidirect
156. #16863956	C₂²	semidirect
157. #16863956	C₂²	semidirect
158. #16863954	C₂²	semidirect
159. #16863953	C₂²	semidirect
160. #16863951	C₂²	semidirect
161. #16863951	C₂²	semidirect
162. #16863950	C₂²	semidirect
163. #16863950	C₂²	semidirect
164. #16863949	C₂²	semidirect
165. #16863944	C₂²	semidirect
166. #16863944	C₂²	semidirect
167. #16863943	C₂²	semidirect
168. #16863943	C₂²	semidirect
169. #16863943	C₂²	semidirect
170. #16863942	C₂²	semidirect
171. #16863942	C₂²	semidirect
172. #16863933	C₂²	semidirect
173. #16863933	C₂²	semidirect
174. #16863930	C₂²	semidirect
175. #16863928	C₂²	semidirect
176. #16863928	C₂²	semidirect
177. #16863928	C₂²	semidirect
178. #16863928	C₂²	semidirect
179. #16863928	C₂²	semidirect
180. #16863928	C₂²	semidirect
181. #16863927	C₂²	semidirect
182. #16863927	C₂²	semidirect
183. #16863926	C₂²	semidirect
184. #16863926	C₂²	semidirect
185. #16863926	C₂²	semidirect
186. #16863926	C₂²	semidirect
187. #16863926	C₂²	semidirect
188. #16863925	C₂²	semidirect
189. #16863925	C₂²	semidirect
190. #16863924	C₂²	semidirect
191. #16863924	C₂²	semidirect
192. #16863924	C₂²	semidirect
193. #16863909	C₂²	semidirect
194. #16863909	C₂²	semidirect
195. #16863908	C₂²	semidirect
196. #16863907	C₂²	semidirect
197. #16863907	C₂²	semidirect
198. #16863906	C₂²	semidirect
199. #16863906	C₂²	semidirect
200. #16863906	C₂²	semidirect
201. #16863906	C₂²	semidirect
202. #16863905	C₂²	semidirect
203. #16863905	C₂²	semidirect
204. #16863905	C₂²	semidirect
205. #16863905	C₂²	semidirect
206. #16863905	C₂²	semidirect
207. #16863904	C₂²	semidirect
208. #16863903	C₂²	semidirect
209. #16863903	C₂²	semidirect
210. #16863903	C₂²	semidirect
211. #16863903	C₂²	semidirect
212. #16863903	C₂²	semidirect
213. #16863903	C₂²	semidirect
214. #16863903	C₂²	semidirect
215. #16863903	C₂²	semidirect
216. #16863903	C₂²	semidirect
217. #16863903	C₂²	semidirect
218. #16863903	C₂²	semidirect
219. #16863903	C₂²	semidirect
220. #16863903	C₂²	semidirect
221. #16863902	C₂²	semidirect
222. C₂×#14524024	C₂²	semidirect
223. #123×D₆₇	C₂²	semidirect
224. C₂×#14524019	C₂²	semidirect
225. C₂×#14524019	C₂²	semidirect
226. C₂²⋊Q₈×D₆₇	C₂²	semidirect
227. C₂²⋊Q₈×D₆₇	C₂²	semidirect
228. C₂×#14524014	C₂²	semidirect
229. C₂×#14524014	C₂²	semidirect
230. #121×D₆₇	C₂²	semidirect
231. #121×D₆₇	C₂²	semidirect
232. C₂×#14524011	C₂²	semidirect
233. #120×D₆₇	C₂²	semidirect
234. #16863877	C₂²	semidirect
235. #16863877	C₂²	semidirect
236. #16863875	C₂²	semidirect
237. #16863875	C₂²	semidirect
238. #16863875	C₂²	semidirect
239. #16863871	C₂²	semidirect
240. #16863869	C₂²	semidirect
241. #16863869	C₂²	semidirect
243. #16863868	C₂²	semidirect
244. #16863868	C₂²	semidirect
245. #41×Dic₆₇	C₂²	semidirect
246. C₄×#11761628	C₂²	semidirect
247. C₄×#11761628	C₂²	semidirect
248. C₄×#11761628	C₂²	semidirect
249. C₄×#11761628	C₂²	semidirect
250. C₄×#11761627	C₂²	semidirect
251. C₄×#11761627	C₂²	semidirect
252. C₄×#11761627	C₂²	semidirect
253. C₄×#11761627	C₂²	semidirect
254. C₂×C₄×D₂₆₈	C₂²	semidirect
255. C₂×D₄×Dic₆₇	C₂²	semidirect
256. C₂×#14524005	C₂²	semidirect
257. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
258. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
259. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
260. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
261. C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	semidirect
264. C₄×D₄×D₆₇	C₂²	semidirect
265. C₄×D₄×D₆₇	C₂²	semidirect
266. C₄×D₄×D₆₇	C₂²	semidirect
267. C₄×D₄×D₆₇	C₂²	semidirect
268. C₄×D₄×D₆₇	C₂²	semidirect
269. C₄×D₄×D₆₇	C₂²	semidirect
270. C₄×D₄×D₆₇	C₂²	semidirect
271. C₄×D₄×D₆₇	C₂²	semidirect
272. C₄×D₄×D₆₇	C₂²	semidirect
273. C₄×D₄×D₆₇	C₂²	semidirect
274. C₄×D₄×D₆₇	C₂²	semidirect
275. C₄×D₄×D₆₇	C₂²	semidirect
276. C₄×D₄×D₆₇	C₂²	semidirect
277. C₂×#14524002	C₂²	semidirect
278. #117×D₆₇	C₂²	semidirect
279. C₂×C₄⋊C₄×D₆₇	C₂²	semidirect
280. C₂×C₂²⋊C₄×D₆₇	C₂²	semidirect
281. C₂×C₄²×D₆₇	C₂²	semidirect
282. C₂²×#41×C₆₇	C₂²	semidirect
283. #550×C₆₇	C₂²	semidirect
284. D₄×Q₈×C₆₇	C₂²	semidirect
285. #548×C₆₇	C₂²	semidirect
286. #547×C₆₇	C₂²	semidirect
287. #547×C₆₇	C₂²	semidirect
288. #546×C₆₇	C₂²	semidirect
289. #546×C₆₇	C₂²	semidirect
290. D₄²×C₆₇	C₂²	semidirect
291. D₄²×C₆₇	C₂²	semidirect
292. #532×C₆₇	C₂²	semidirect
293. #532×C₆₇	C₂²	semidirect
294. #525×C₆₇	C₂²	semidirect
295. #525×C₆₇	C₂²	semidirect
296. C₄×#41×C₆₇	C₂²	semidirect
297. C₂×C₄×D₄×C₆₇	C₂²	semidirect
298. C₂×C₄×D₄×C₆₇	C₂²	semidirect
301. C₂×#11761629	C₂³	semidirect
306. C₂×#11761628	C₂³	semidirect
312. C₂×#11761627	C₂³	semidirect
314. C₂×Q₈×D₆₇	C₂³	semidirect
331. C₂×D₄×D₆₇	C₂³	semidirect
348. C₂²×C₄×D₆₇	C₂³	semidirect
349. #14524043	C₂³	semidirect
350. #14524043	C₂³	semidirect
351. #14524042	C₂³	semidirect
352. #14524042	C₂³	semidirect
353. #14524042	C₂³	semidirect
354. #14524041	C₂³	semidirect
355. #14524041	C₂³	semidirect
358. #14524039	C₂³	semidirect
359. #14524038	C₂³	semidirect
360. #14524038	C₂³	semidirect
361. #14524038	C₂³	semidirect
362. #14524038	C₂³	semidirect
363. #14524038	C₂³	semidirect
364. #14524038	C₂³	semidirect
365. #14524037	C₂³	semidirect
366. #14524036	C₂³	semidirect
367. #14524036	C₂³	semidirect
368. #14524036	C₂³	semidirect
369. #14524036	C₂³	semidirect
370. #14524036	C₂³	semidirect
371. #14524036	C₂³	semidirect
372. #14524036	C₂³	semidirect
373. #14524036	C₂³	semidirect
374. #14524036	C₂³	semidirect
375. #14524036	C₂³	semidirect
376. #14524036	C₂³	semidirect
377. #14524035	C₂³	semidirect
378. #14524035	C₂³	semidirect
379. #14524034	C₂³	semidirect
380. #14524034	C₂³	semidirect
381. #14524034	C₂³	semidirect
382. #14524034	C₂³	semidirect
383. #14524034	C₂³	semidirect
384. #14524034	C₂³	semidirect
385. #14524033	C₂³	semidirect
386. #14524033	C₂³	semidirect
387. #14524033	C₂³	semidirect
388. #14524033	C₂³	semidirect
389. #14524033	C₂³	semidirect
390. #14524033	C₂³	semidirect
391. #14524032	C₂³	semidirect
392. #14524032	C₂³	semidirect
395. #14524030	C₂³	semidirect
396. #14524030	C₂³	semidirect
397. #14524030	C₂³	semidirect
398. #14524030	C₂³	semidirect
399. #14524030	C₂³	semidirect
401. #14524029	C₂³	semidirect
402. #14524029	C₂³	semidirect
403. #14524029	C₂³	semidirect
404. #14524029	C₂³	semidirect
405. #14524029	C₂³	semidirect
406. #14524029	C₂³	semidirect
410. #14524028	C₂³	semidirect
411. #14524028	C₂³	semidirect
412. #14524028	C₂³	semidirect
415. #14524027	C₂³	semidirect
416. #14524027	C₂³	semidirect
418. #14524026	C₂³	semidirect
419. #14524026	C₂³	semidirect
420. #14524026	C₂³	semidirect
426. #14524025	C₂³	semidirect
427. #14524025	C₂³	semidirect
428. #14524025	C₂³	semidirect
429. #14524025	C₂³	semidirect
430. #14524025	C₂³	semidirect
431. #14524025	C₂³	semidirect
437. #14524024	C₂³	semidirect
438. #14524024	C₂³	semidirect
439. #14524024	C₂³	semidirect
440. #14524024	C₂³	semidirect
441. #14524024	C₂³	semidirect
442. #14524024	C₂³	semidirect
443. #14524024	C₂³	semidirect
444. #14524024	C₂³	semidirect
449. #14524023	C₂³	semidirect
450. #14524023	C₂³	semidirect
453. #14524022	C₂³	semidirect
454. #14524022	C₂³	semidirect
455. #14524022	C₂³	semidirect
456. #14524022	C₂³	semidirect
457. #14524022	C₂³	semidirect
462. #14524021	C₂³	semidirect
463. #14524021	C₂³	semidirect
466. #14524020	C₂³	semidirect
467. #14524020	C₂³	semidirect
468. #14524020	C₂³	semidirect
469. #14524020	C₂³	semidirect
470. #14524020	C₂³	semidirect
471. #14524020	C₂³	semidirect
478. #14524019	C₂³	semidirect
479. #14524019	C₂³	semidirect
480. #14524019	C₂³	semidirect
481. #14524019	C₂³	semidirect
482. #14524019	C₂³	semidirect
483. #14524019	C₂³	semidirect
484. #14524019	C₂³	semidirect
485. #14524019	C₂³	semidirect
491. #14524017	C₂³	semidirect
492. #14524017	C₂³	semidirect
493. #14524017	C₂³	semidirect
500. #14524016	C₂³	semidirect
507. #14524015	C₂³	semidirect
508. #14524015	C₂³	semidirect
509. #14524015	C₂³	semidirect
510. #14524015	C₂³	semidirect
511. #14524015	C₂³	semidirect
512. #14524015	C₂³	semidirect
524. #14524014	C₂³	semidirect
525. #14524014	C₂³	semidirect
526. #14524014	C₂³	semidirect
527. #14524014	C₂³	semidirect
528. #14524014	C₂³	semidirect
529. #14524014	C₂³	semidirect
530. #14524014	C₂³	semidirect
531. #14524014	C₂³	semidirect
538. #14524012	C₂³	semidirect
550. #14524011	C₂³	semidirect
551. #14524011	C₂³	semidirect
552. Q₈×Dic₆₇	C₂³	semidirect
553. Q₈×Dic₆₇	C₂³	semidirect
554. C₄×Dic₁₃₄	C₂³	semidirect
555. C₄×Dic₁₃₄	C₂³	semidirect
556. C₄×Dic₁₃₄	C₂³	semidirect
557. C₄×Dic₁₃₄	C₂³	semidirect
558. C₄×Dic₁₃₄	C₂³	semidirect
559. C₄×Dic₁₃₄	C₂³	semidirect
560. C₄×Dic₁₃₄	C₂³	semidirect
561. C₄×Dic₁₃₄	C₂³	semidirect
562. C₄×Dic₁₃₄	C₂³	semidirect
563. #14524008	C₂³	semidirect
564. #14524008	C₂³	semidirect
565. #14524008	C₂³	semidirect
566. #14524008	C₂³	semidirect
578. C₄×D₂₆₈	C₂³	semidirect
579. C₄×D₂₆₈	C₂³	semidirect
589. D₄×Dic₆₇	C₂³	semidirect
590. D₄×Dic₆₇	C₂³	semidirect
591. D₄×Dic₆₇	C₂³	semidirect
592. D₄×Dic₆₇	C₂³	semidirect
593. D₄×Dic₆₇	C₂³	semidirect
594. D₄×Dic₆₇	C₂³	semidirect
595. D₄×Dic₆₇	C₂³	semidirect
596. D₄×Dic₆₇	C₂³	semidirect
627. C₄×C₂²⋊D₆₇	C₂³	semidirect
628. C₄×C₂²⋊D₆₇	C₂³	semidirect
629. C₄×C₂²⋊D₆₇	C₂³	semidirect
630. C₄×C₂²⋊D₆₇	C₂³	semidirect
631. C₄×C₂²⋊D₆₇	C₂³	semidirect
632. C₄×C₂²⋊D₆₇	C₂³	semidirect
633. C₄×C₂²⋊D₆₇	C₂³	semidirect
634. C₄×C₂²⋊D₆₇	C₂³	semidirect
635. C₄×C₂²⋊D₆₇	C₂³	semidirect
636. C₄×C₂²⋊D₆₇	C₂³	semidirect
637. C₄×C₂²⋊D₆₇	C₂³	semidirect
638. C₄×C₂²⋊D₆₇	C₂³	semidirect
639. C₄×C₂²⋊D₆₇	C₂³	semidirect
640. C₄×C₂²⋊D₆₇	C₂³	semidirect
641. C₄×C₂²⋊D₆₇	C₂³	semidirect
642. C₄×C₂²⋊D₆₇	C₂³	semidirect
643. C₄×C₂²⋊D₆₇	C₂³	semidirect
644. C₄×C₂²⋊D₆₇	C₂³	semidirect
658. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
659. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
660. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
661. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
662. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
666. #14524002	C₂³	semidirect
667. #14524002	C₂³	semidirect
668. #14524002	C₂³	semidirect
669. #14524002	C₂³	semidirect
670. #14524002	C₂³	semidirect
671. #14524002	C₂³	semidirect
672. #14524002	C₂³	semidirect
675. #14524001	C₂³	semidirect
676. #14524001	C₂³	semidirect
677. #14524001	C₂³	semidirect
678. #14524001	C₂³	semidirect
681. #14524000	C₂³	semidirect
682. #14524000	C₂³	semidirect
683. #14524000	C₂³	semidirect
684. #14524000	C₂³	semidirect
685. #14524000	C₂³	semidirect
687. #14523999	C₂³	semidirect
688. #14523999	C₂³	semidirect
689. #14523999	C₂³	semidirect
690. #14523999	C₂³	semidirect
691. #14523999	C₂³	semidirect
693. C₂×C₄⋊Dic₆₇	C₂³	semidirect
694. C₂×C₄⋊Dic₆₇	C₂³	semidirect
696. C₂×Dic₆₇⋊C₄	C₂³	semidirect
697. C₂×Dic₆₇⋊C₄	C₂³	semidirect
698. C₂×Dic₆₇⋊C₄	C₂³	semidirect
705. C₄⋊C₄×D₆₇	C₂³	semidirect
706. C₄⋊C₄×D₆₇	C₂³	semidirect
707. C₄⋊C₄×D₆₇	C₂³	semidirect
708. C₄⋊C₄×D₆₇	C₂³	semidirect
709. C₄⋊C₄×D₆₇	C₂³	semidirect
712. C₂×C₂²⋊Dic₆₇	C₂³	semidirect
713. C₂×C₂²⋊Dic₆₇	C₂³	semidirect
714. C₂×C₂²⋊Dic₆₇	C₂³	semidirect
719. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
731. C₂²⋊C₄×D₆₇	C₂³	semidirect
732. C₂²⋊C₄×D₆₇	C₂³	semidirect
733. C₂²⋊C₄×D₆₇	C₂³	semidirect
737. C₂×C₄×Dic₆₇	C₂³	semidirect
738. C₂×C₄×Dic₆₇	C₂³	semidirect
747. C₄²×D₆₇	C₂³	semidirect
748. C₄²×D₆₇	C₂³	semidirect
753. C₂×#41×C₆₇	C₂³	semidirect
754. C₂×#41×C₆₇	C₂³	semidirect
755. C₂×#41×C₆₇	C₂³	semidirect
756. C₂²×Q₈×C₆₇	C₂³	semidirect
760. C₂²×D₄×C₆₇	C₂³	semidirect
762. C₂³×C₄×C₆₇	C₂³	semidirect
763. C₄⋊Q₈×C₆₇	C₂³	semidirect
764. C₄⋊Q₈×C₆₇	C₂³	semidirect
766. #127×C₆₇	C₂³	semidirect
767. #124×C₆₇	C₂³	semidirect
768. #124×C₆₇	C₂³	semidirect
770. #123×C₆₇	C₂³	semidirect
771. #123×C₆₇	C₂³	semidirect
772. C₂²⋊Q₈×C₆₇	C₂³	semidirect
773. C₂²⋊Q₈×C₆₇	C₂³	semidirect
774. C₂²⋊Q₈×C₆₇	C₂³	semidirect
775. C₂²⋊Q₈×C₆₇	C₂³	semidirect
780. #121×C₆₇	C₂³	semidirect
781. #121×C₆₇	C₂³	semidirect
782. #121×C₆₇	C₂³	semidirect
783. #121×C₆₇	C₂³	semidirect
784. #121×C₆₇	C₂³	semidirect
787. #120×C₆₇	C₂³	semidirect
788. C₄×Q₈×C₆₇	C₂³	semidirect
789. C₄×Q₈×C₆₇	C₂³	semidirect
799. C₄×D₄×C₆₇	C₂³	semidirect
800. C₄×D₄×C₆₇	C₂³	semidirect
801. C₄×D₄×C₆₇	C₂³	semidirect
802. C₄×D₄×C₆₇	C₂³	semidirect
803. C₄×D₄×C₆₇	C₂³	semidirect
804. C₄×D₄×C₆₇	C₂³	semidirect
805. C₄×D₄×C₆₇	C₂³	semidirect
806. C₄×D₄×C₆₇	C₂³	semidirect
808. #117×C₆₇	C₂³	semidirect
810. C₂×C₄⋊C₄×C₆₇	C₂³	semidirect
812. C₂×C₂²⋊C₄×C₆₇	C₂³	semidirect
814. C₂×C₄²×C₆₇	C₂³	semidirect
885. D₄×D₆₇	#41	semidirect
1171. C₂²×D₆₇	C₂×#41	semidirect
1193. D₄×C₆₇	C₂×#41	semidirect
1208. C₂×C₄×C₆₇	H(5,𝔽₂)	semidirect
1239. C₂²⋊D₆₇	C₂×#41	semidirect
1272. D₂₆₈	C₂×#41	semidirect
1303. C₄×D₆₇	C₂×#41	semidirect
1415. D₄×#41	D₆₇	semidirect
1424. C₆₇	#62773	semidirect
1427. C₂²×#41	C₂×D₆₇	semidirect
1483. #550	C₂×D₆₇	semidirect
1486. D₄×Q₈	C₂×D₆₇	semidirect
1490. #548	C₂×D₆₇	semidirect
1498. #547	C₂×D₆₇	semidirect
1499. #547	C₂×D₆₇	semidirect
1519. #546	C₂×D₆₇	semidirect
1520. #546	C₂×D₆₇	semidirect
1528. D₄²	C₂×D₆₇	semidirect
1529. D₄²	C₂×D₆₇	semidirect
1571. #532	C₂×D₆₇	semidirect
1572. #532	C₂×D₆₇	semidirect
1623. #525	C₂×D₆₇	semidirect
1624. #525	C₂×D₆₇	semidirect
1657. C₄×#41	C₂×D₆₇	semidirect
1681. C₂×C₄×D₄	C₂×D₆₇	semidirect
1682. C₂×C₄×D₄	C₂×D₆₇	semidirect
1707. C₂×#41	C₂²×D₆₇	semidirect
1708. C₂×#41	C₂²×D₆₇	semidirect
1709. C₂×#41	C₂²×D₆₇	semidirect
1711. C₂²×Q₈	C₂²×D₆₇	semidirect
1732. C₂²×D₄	C₂²×D₆₇	semidirect
1751. C₂³×C₄	C₂²×D₆₇	semidirect
1759. C₄⋊Q₈	C₂²×D₆₇	semidirect
1760. C₄⋊Q₈	C₂²×D₆₇	semidirect
1765. #127	C₂²×D₆₇	semidirect
1814. #124	C₂²×D₆₇	semidirect
1815. #124	C₂²×D₆₇	semidirect
1855. #123	C₂²×D₆₇	semidirect
1856. #123	C₂²×D₆₇	semidirect
1898. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1899. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1900. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1901. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1952. #121	C₂²×D₆₇	semidirect
1953. #121	C₂²×D₆₇	semidirect
1954. #121	C₂²×D₆₇	semidirect
1955. #121	C₂²×D₆₇	semidirect
1956. #121	C₂²×D₆₇	semidirect
1979. #120	C₂²×D₆₇	semidirect
1995. C₄×Q₈	C₂²×D₆₇	semidirect
1996. C₄×Q₈	C₂²×D₆₇	semidirect
2102. C₄×D₄	C₂²×D₆₇	semidirect
2103. C₄×D₄	C₂²×D₆₇	semidirect
2104. C₄×D₄	C₂²×D₆₇	semidirect
2105. C₄×D₄	C₂²×D₆₇	semidirect
2106. C₄×D₄	C₂²×D₆₇	semidirect
2107. C₄×D₄	C₂²×D₆₇	semidirect
2108. C₄×D₄	C₂²×D₆₇	semidirect
2109. C₄×D₄	C₂²×D₆₇	semidirect
2140. #117	C₂²×D₆₇	semidirect
2160. C₂×C₄⋊C₄	C₂²×D₆₇	semidirect
2186. C₂×C₂²⋊C₄	C₂²×D₆₇	semidirect
2203. C₂×C₄²	C₂²×D₆₇	semidirect
2614. D₄	#41×D₆₇	semidirect
2686. C₂×C₄	#14524088	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
#22574261	2
#22574259	2
#22574251	2
#22574240	2
#22574238	2
#22574232	2
#22574144	2
#22574142	2
#22574134	2
#22574059	2
#22574053	2
#22574045	2
#22574036	2
#22574004	2
#22573965	2
#22573911	2
#22573891	2
#22573837	2
#22573817	2
#22573813	2
#22573811	2
#22573773	2
#22573769	2
#22573767	2
#22573695	2
#41×C₂²⋊D₆₇	2
#22573623	2
#22573616	2
#22573504	2
#22573502	2
C₂×#16863903	2
#525×D₆₇	2
C₄×#14524088	2
C₂×C₄×D₄×D₆₇	2
D₄×#41×C₆₇	2
#62773	67