Subgroups — #31764459

Order 17152.

8042 conjugacy classes of subgroups.

The subgroup lattice has 2682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22574530	C₂	1	2	yes	maximal, complemented
2	#22574526	C₂	1	2	yes	maximal, complemented
3	#22574510	C₂	1	4	yes	maximal, complemented
4	#22574446	C₂	1	2	yes	maximal, complemented
5	#22574440	C₂	1	2	yes	maximal, complemented
6	#22574432	C₂	1	2	yes	maximal, complemented
7	#22574426	C₂	1	2	yes	maximal, complemented
8	#22574396	C₂	1	2	yes	maximal, complemented
9	#22574394	C₂	1	4	yes	maximal, complemented
10	#22574388	C₂	1	2	yes	maximal, complemented
11	#22574236	C₂	1	2	yes	maximal, complemented
12	#22574235	C₂	1	2	yes	maximal, complemented
13	#22574230	C₂	1	4	yes	maximal, complemented
14	#22574048	C₂	1	1	yes	maximal, characteristic, complemented
15	#22574046	C₂	1	2	yes	maximal, complemented
16	#22574043	C₂	1	1	yes	maximal, characteristic, complemented
17	#22573968	C₂	1	2	yes	maximal, complemented
18	#22573966	C₂	1	1	yes	maximal, characteristic, complemented
19	#22573939	C₂	1	2	yes	maximal, complemented
20	#22573933	C₂	1	2	yes	maximal, complemented
21	#22573911	C₂	1	2	yes	maximal, complemented
22	#22573891	C₂	1	4	yes	maximal, complemented
23	#22573874	C₂	1	2	yes	maximal, complemented
24	#22573869	C₂	1	2	yes	maximal, complemented
25	#22573841	C₂	1	2	yes	maximal, complemented
26	#22573840	C₂	1	2	yes	maximal, complemented
27	#22573837	C₂	1	2	yes	maximal, complemented
28	C₂×#16863906	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#16863905	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#121×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
31	C₆₇×#3496	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#14524088	C₂²	1	2	yes	complemented
33	C₂×#14524088	C₂²	1	2	yes	complemented
34	C₂²×#11761628	C₂²	1	1	yes	characteristic, complemented
35	C₂²×#11761627	C₂²	1	1	yes	characteristic, complemented
36	C₂²×D₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
37	C₂²×D₄×D₆₇	C₂²	1	2	yes	complemented
38	C₂³×C₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
39	#16864143	C₂²	1	4	yes	complemented
40	#16864142	C₂²	1	4	yes	complemented
41	#16864142	C₂²	1	4	yes	complemented
42	#16864141	C₂²	1	4	yes	complemented
43	#16864136	C₂²	1	4	yes	complemented
44	#16864135	C₂²	1	4	yes	complemented
45	#16864135	C₂²	1	4	yes	complemented
46	#16864134	C₂²	1	4	yes	complemented
47	#16864112	C₂²	1	2	yes	complemented
48	#16864110	C₂²	1	2	yes	complemented
49	#16864108	C₂²	1	4	yes	complemented
50	#16864107	C₂²	1	2	yes	complemented
51	#16864101	C₂²	1	2	yes	complemented
52	#16864100	C₂²	1	4	yes	complemented
53	#16864098	C₂²	1	2	yes	complemented
54	#16864098	C₂²	1	4	yes	complemented
55	#16864096	C₂²	1	2	yes	complemented
56	#16864096	C₂²	1	2	yes	complemented
57	#16864095	C₂²	1	4	yes	complemented
58	#16864095	C₂²	1	4	yes	complemented
59	#16864094	C₂²	1	2	yes	complemented
60	#16864093	C₂²	1	2	yes	complemented
61	#16864092	C₂²	1	2	yes	complemented
62	#16864091	C₂²	1	4	yes	complemented
63	#16864089	C₂²	1	4	yes	complemented
64	#16864089	C₂²	1	4	yes	complemented
65	#16864089	C₂²	1	4	yes	complemented
66	#16864086	C₂²	1	2	yes	complemented
67	#16864083	C₂²	1	4	yes	complemented
68	#16864081	C₂²	1	2	yes	complemented
69	#16864077	C₂²	1	4	yes	complemented
70	#16864076	C₂²	1	4	yes	complemented
71	#16864075	C₂²	1	4	yes	complemented
72	#16864075	C₂²	1	4	yes	complemented
73	#16864074	C₂²	1	4	yes	complemented
74	#16864073	C₂²	1	4	yes	complemented
75	#16864072	C₂²	1	4	yes	complemented
76	#16864069	C₂²	1	4	yes	complemented
77	#16864066	C₂²	1	2	yes	complemented
78	#16864064	C₂²	1	4	yes	complemented
79	#16864064	C₂²	1	2	yes	complemented
80	#16864055	C₂²	1	2	yes	complemented
81	#16864052	C₂²	1	2	yes	complemented
82	#16864052	C₂²	1	4	yes	complemented
83	#16864047	C₂²	1	2	yes	complemented
84	#16864046	C₂²	1	2	yes	complemented
85	#16864045	C₂²	1	4	yes	complemented
86	#16864045	C₂²	1	4	yes	complemented
87	#16864043	C₂²	1	2	yes	complemented
88	#16864043	C₂²	1	4	yes	complemented
89	#16864042	C₂²	1	2	yes	complemented
90	#16864041	C₂²	1	2	yes	complemented
91	#16864041	C₂²	1	2	yes	complemented
92	#16864040	C₂²	1	2	yes	complemented
93	#16864040	C₂²	1	4	yes	complemented
94	#16864040	C₂²	1	2	yes	complemented
95	#16864040	C₂²	1	4	yes	complemented
96	#16864038	C₂²	1	4	yes	complemented
97	#16864038	C₂²	1	4	yes	complemented
98	#16864036	C₂²	1	4	yes	complemented
99	#16864036	C₂²	1	4	yes	complemented
100	#16864036	C₂²	1	4	yes	complemented
101	#16864035	C₂²	1	4	yes	complemented
102	#16864035	C₂²	1	4	yes	complemented
103	#16864035	C₂²	1	4	yes	complemented
104	#16864035	C₂²	1	4	yes	complemented
105	#16864035	C₂²	1	4	yes	complemented
106	#16864034	C₂²	1	4	yes	complemented
107	#16864034	C₂²	1	4	yes	complemented
108	#16864034	C₂²	1	4	yes	complemented
109	#16864034	C₂²	1	4	yes	complemented
110	#16864034	C₂²	1	4	yes	complemented
111	#16864034	C₂²	1	4	yes	complemented
112	#16864033	C₂²	1	4	yes	complemented
113	#16864033	C₂²	1	4	yes	complemented
114	#16864031	C₂²	1	2	yes	complemented
115	#16864030	C₂²	1	2	yes	complemented
116	#16864030	C₂²	1	4	yes	complemented
117	#16864030	C₂²	1	4	yes	complemented
118	D₄×C₂²⋊D₆₇	C₂²	1	4	yes	complemented
119	D₄×C₂²⋊D₆₇	C₂²	1	2	yes	complemented
120	D₄×C₂²⋊D₆₇	C₂²	1	4	yes	complemented
121	D₄×C₂²⋊D₆₇	C₂²	1	4	yes	complemented
122	D₄×C₂²⋊D₆₇	C₂²	1	4	yes	complemented
123	D₄×C₂²⋊D₆₇	C₂²	1	4	yes	complemented
124	D₄×C₂²⋊D₆₇	C₂²	1	4	yes	complemented
125	D₄×C₂²⋊D₆₇	C₂²	1	2	yes	complemented
126	#16864028	C₂²	1	4	yes	complemented
127	#16864028	C₂²	1	4	yes	complemented
128	#16864028	C₂²	1	4	yes	complemented
129	#16864023	C₂²	1	2	yes	complemented
130	#16864021	C₂²	1	4	yes	complemented
131	#16864020	C₂²	1	2	yes	complemented
132	#16864016	C₂²	1	4	yes	complemented
133	#16864011	C₂²	1	2	yes	complemented
134	#16864000	C₂²	1	2	yes	complemented
135	#16863998	C₂²	1	4	yes	complemented
136	#16863998	C₂²	1	4	yes	complemented
137	#16863997	C₂²	1	4	yes	complemented
138	#16863997	C₂²	1	2	yes	complemented
139	#16863996	C₂²	1	4	yes	complemented
140	#16863996	C₂²	1	4	yes	complemented
141	#16863993	C₂²	1	2	yes	complemented
142	#16863992	C₂²	1	4	yes	complemented
143	#16863991	C₂²	1	2	yes	complemented
144	#16863990	C₂²	1	4	yes	complemented
145	#16863989	C₂²	1	4	yes	complemented
146	#16863986	C₂²	1	4	yes	complemented
147	#16863984	C₂²	1	4	yes	complemented
148	#16863984	C₂²	1	2	yes	complemented
149	#16863983	C₂²	1	2	yes	complemented
150	#16863982	C₂²	1	4	yes	complemented
151	#16863981	C₂²	1	4	yes	complemented
152	#16863981	C₂²	1	4	yes	complemented
153	#16863980	C₂²	1	4	yes	complemented
154	#16863980	C₂²	1	4	yes	complemented
155	#16863978	C₂²	1	4	yes	complemented
156	#16863978	C₂²	1	4	yes	complemented
157	#16863977	C₂²	1	2	yes	complemented
158	#16863975	C₂²	1	2	yes	complemented
159	#16863975	C₂²	1	2	yes	complemented
160	#16863974	C₂²	1	4	yes	complemented
161	#16863973	C₂²	1	4	yes	complemented
162	#16863973	C₂²	1	2	yes	complemented
163	#16863963	C₂²	1	2	yes	complemented
164	#16863962	C₂²	1	2	yes	complemented
165	#16863962	C₂²	1	2	yes	complemented
166	#16863961	C₂²	1	4	yes	complemented
167	#16863961	C₂²	1	4	yes	complemented
168	#16863960	C₂²	1	4	yes	complemented
169	#16863959	C₂²	1	2	yes	complemented
170	#16863957	C₂²	1	4	yes	complemented
171	#16863956	C₂²	1	4	yes	complemented
172	#16863956	C₂²	1	4	yes	complemented
173	#16863955	C₂²	1	2	yes	complemented
174	#16863955	C₂²	1	2	yes	complemented
175	#16863955	C₂²	1	4	yes	complemented
176	#16863955	C₂²	1	2	yes	complemented
177	#16863955	C₂²	1	4	yes	complemented
178	#16863954	C₂²	1	4	yes	complemented
179	#16863954	C₂²	1	2	yes	complemented
180	#16863942	C₂²	1	4	yes	complemented
181	#16863941	C₂²	1	2	yes	complemented
182	#16863930	C₂²	1	2	yes	complemented
183	#16863927	C₂²	1	2	yes	complemented
184	#16863923	C₂²	1	4	yes	complemented
185	#16863907	C₂²	1	2	yes	complemented
186	#16863906	C₂²	1	2	yes	complemented
187	#16863906	C₂²	1	2	yes	complemented
188	#16863906	C₂²	1	2	yes	complemented
189	#16863906	C₂²	1	2	yes	complemented
190	#16863906	C₂²	1	2	yes	complemented
191	#16863906	C₂²	1	2	yes	complemented
192	#16863906	C₂²	1	2	yes	complemented
193	#16863906	C₂²	1	2	yes	complemented
194	#16863906	C₂²	1	2	yes	complemented
195	#16863905	C₂²	1	2	yes	complemented
196	#16863905	C₂²	1	2	yes	complemented
197	#16863905	C₂²	1	2	yes	complemented
198	#16863905	C₂²	1	2	yes	complemented
199	#16863905	C₂²	1	2	yes	complemented
200	#16863905	C₂²	1	2	yes	complemented
201	#16863905	C₂²	1	2	yes	complemented
202	#16863905	C₂²	1	2	yes	complemented
203	#16863904	C₂²	1	4	yes	complemented
204	#16863903	C₂²	1	4	yes	complemented
205	#16863902	C₂²	1	4	yes	complemented
206	C₂×#14524028	C₂²	1	1	yes	characteristic, complemented
207	C₂×#14524025	C₂²	1	2	yes	complemented
208	C₂×#14524025	C₂²	1	1	yes	characteristic, complemented
209	C₂×#14524023	C₂²	1	1	yes	characteristic, complemented
210	C₂×#14524022	C₂²	1	1	yes	characteristic, complemented
211	C₂×#14524021	C₂²	1	1	yes	characteristic, complemented
212	C₂×#14524020	C₂²	1	1	yes	characteristic, complemented
213	C₂×#14524018	C₂²	1	1	yes	characteristic, complemented
214	C₂×#14524017	C₂²	1	1	yes	characteristic, complemented
215	C₂×#14524016	C₂²	1	2	yes	complemented
216	C₂×#14524016	C₂²	1	1	yes	characteristic, complemented
217	C₂×#14524015	C₂²	1	2	yes	complemented
218	C₂×#14524015	C₂²	1	1	yes	characteristic, complemented
219	C₂×#14524015	C₂²	1	4	yes	complemented
220	C₂×#14524014	C₂²	1	1	yes	characteristic, complemented
221	C₂×#14524014	C₂²	1	1	yes	characteristic, complemented
222	#121×D₆₇	C₂²	1	2	yes	complemented
223	#121×D₆₇	C₂²	1	2	yes	complemented
224	#121×D₆₇	C₂²	1	2	yes	complemented
225	#121×D₆₇	C₂²	1	2	yes	complemented
226	#121×D₆₇	C₂²	1	2	yes	complemented
227	#121×D₆₇	C₂²	1	2	yes	complemented
228	#121×D₆₇	C₂²	1	2	yes	complemented
229	#121×D₆₇	C₂²	1	2	yes	complemented
230	#121×D₆₇	C₂²	1	2	yes	complemented
231	C₂×#14524013	C₂²	1	1	yes	characteristic, complemented
232	C₂×#14524011	C₂²	1	4	yes	complemented
233	C₂×#14524011	C₂²	1	1	yes	characteristic, complemented
234	C₂×#14524011	C₂²	1	2	yes	complemented
235	#120×D₆₇	C₂²	1	4	yes	complemented
236	#16863877	C₂²	1	2	yes	complemented
237	#16863875	C₂²	1	2	yes	complemented
238	#16863871	C₂²	1	2	yes	complemented
239	#16863869	C₂²	1	2	yes	complemented
240	#16863869	C₂²	1	4	yes	complemented
241	#16863868	C₂²	1	2	yes	complemented
242	#16863868	C₂²	1	4	yes	complemented
243	C₂×C₄×D₂₆₈	C₂²	1	1	yes	characteristic, complemented
244	C₂×D₄×Dic₆₇	C₂²	1	2	yes	complemented
245	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic, complemented
246	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic, complemented
247	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	2	yes	complemented
248	C₂×#14524001	C₂²	1	1	yes	characteristic, complemented
249	C₂×#14524000	C₂²	1	1	yes	characteristic, complemented
250	C₂×C₄⋊C₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
251	C₂×C₂²⋊C₄×D₆₇	C₂²	1	2	yes	complemented
252	C₂×H(5,𝔽₂)×C₆₇	C₂²	1	2	yes	complemented
253	#547×C₆₇	C₂²	1	2	yes	complemented
254	#547×C₆₇	C₂²	1	2	yes	complemented
255	#546×C₆₇	C₂²	1	4	yes	complemented
256	#546×C₆₇	C₂²	1	4	yes	complemented
257	D₄²×C₆₇	C₂²	1	2	yes	complemented
258	D₄²×C₆₇	C₂²	1	2	yes	complemented
259	#537×C₆₇	C₂²	1	2	yes	complemented
260	#534×C₆₇	C₂²	1	2	yes	complemented
261	#534×C₆₇	C₂²	1	2	yes	complemented
262	#532×C₆₇	C₂²	1	2	yes	complemented
263	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic, complemented
264	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic, complemented
265	C₂×#121×C₆₇	C₂²	1	2	yes	complemented
266	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
267	C₂⁴×D₆₇	C₂³	1	1	yes	characteristic
268	C₂⁴×D₆₇	C₂³	1	2	yes	—
269	#14524088	—	4	8	no	—
270	#14524088	—	4	8	no	—
271	C₂×#11761628	—	4	4	no	—
272	C₂×#11761628	C₂³	1	2	yes	—
273	C₂×#11761628	C₂³	1	2	yes	—
274	C₂×#11761628	C₂³	1	2	yes	complemented
275	C₂×#11761628	C₂³	1	4	yes	complemented
276	C₂×#11761628	C₂³	1	2	yes	complemented
277	C₂×#11761628	C₂³	1	2	yes	complemented
278	C₂×#11761627	—	4	4	no	—
279	C₂×#11761627	C₂³	1	2	yes	—
280	C₂×#11761627	C₂³	1	2	yes	—
281	C₂×#11761627	C₂³	1	4	yes	—
282	C₂×#11761627	C₂³	1	4	yes	complemented
283	C₂×#11761627	C₂³	1	4	yes	complemented
284	C₂×#11761627	C₂³	1	2	yes	complemented
285	C₂×#11761627	C₂³	1	2	yes	complemented
286	C₂×#11761627	C₂³	1	2	yes	complemented
287	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic, complemented
288	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic, complemented
289	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
290	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
291	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
292	C₂²×D₂₆₈	C₂³	1	2	yes	—
293	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
294	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
295	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
296	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
297	C₂²×C₂²⋊D₆₇	C₂³	1	4	yes	—
298	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
299	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
300	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
301	C₂²×C₂²⋊D₆₇	C₂³	1	4	yes	—
302	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
303	C₂²×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
304	C₂²×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
305	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic, complemented
306	C₂×D₄×D₆₇	—	4	8	no	—
307	C₂×D₄×D₆₇	—	4	4	no	—
308	C₂×D₄×D₆₇	C₂³	1	2	yes	—
309	C₂×D₄×D₆₇	C₂³	1	4	yes	—
310	C₂×D₄×D₆₇	C₂³	1	2	yes	—
311	C₂×D₄×D₆₇	C₂³	1	4	yes	—
312	C₂×D₄×D₆₇	C₂³	1	4	yes	—
313	C₂×D₄×D₆₇	C₂³	1	4	yes	—
314	C₂×D₄×D₆₇	C₂³	1	4	yes	—
315	C₂×D₄×D₆₇	C₂³	1	4	yes	—
316	C₂×D₄×D₆₇	C₂³	1	4	yes	—
317	C₂×D₄×D₆₇	C₂³	1	2	yes	—
318	C₂×D₄×D₆₇	C₂³	1	2	yes	—
319	C₂×D₄×D₆₇	C₂³	1	4	yes	complemented
320	C₂×D₄×D₆₇	C₂³	1	2	yes	complemented
321	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
322	C₂³×Dic₆₇	C₂³	1	2	yes	complemented
323	C₂²×C₄×D₆₇	—	4	4	no	—
324	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
325	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
326	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
327	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
328	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
329	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
330	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
331	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
332	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
333	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
334	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
335	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
336	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
337	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic, complemented
338	#14524042	C₂³	1	2	yes	complemented
339	#14524041	C₂³	1	4	yes	complemented
340	#14524039	C₂³	1	4	yes	complemented
341	#14524039	C₂³	1	4	yes	complemented
342	#14524039	C₂³	1	4	yes	complemented
343	#14524039	C₂³	1	2	yes	complemented
344	#14524039	C₂³	1	4	yes	complemented
345	#14524039	C₂³	1	4	yes	complemented
346	#14524038	C₂³	1	4	yes	complemented
347	#14524038	C₂³	1	4	yes	complemented
348	#14524038	C₂³	1	4	yes	complemented
349	#14524038	C₂³	1	4	yes	complemented
350	#14524037	C₂³	1	4	yes	complemented
351	#14524036	C₂³	1	4	yes	complemented
352	#14524036	C₂³	1	4	yes	complemented
353	#14524036	C₂³	1	4	yes	complemented
354	#14524036	C₂³	1	4	yes	complemented
355	#14524036	C₂³	1	4	yes	complemented
356	#14524036	C₂³	1	4	yes	complemented
357	#14524036	C₂³	1	4	yes	complemented
358	#14524035	C₂³	1	2	yes	complemented
359	#14524034	C₂³	1	2	yes	complemented
360	#14524034	C₂³	1	4	yes	complemented
361	#14524033	C₂³	1	4	yes	complemented
362	#14524033	C₂³	1	4	yes	complemented
363	#14524033	C₂³	1	4	yes	complemented
364	#14524033	C₂³	1	4	yes	complemented
365	#14524032	C₂³	1	4	yes	complemented
366	#14524032	C₂³	1	4	yes	complemented
367	#14524032	C₂³	1	4	yes	complemented
368	#14524031	C₂³	1	2	yes	complemented
369	#14524030	C₂³	1	2	yes	complemented
370	#14524030	C₂³	1	4	yes	complemented
371	#14524030	C₂³	1	4	yes	complemented
372	#14524029	C₂³	1	4	yes	complemented
373	#14524029	C₂³	1	4	yes	complemented
374	#14524029	C₂³	1	4	yes	complemented
375	#14524029	C₂³	1	4	yes	complemented
376	#14524029	C₂³	1	4	yes	complemented
377	#14524029	C₂³	1	4	yes	complemented
378	#14524029	C₂³	1	4	yes	complemented
379	#14524028	C₂³	1	2	yes	—
380	#14524028	C₂³	1	2	yes	—
381	#14524028	C₂³	1	4	yes	complemented
382	#14524028	C₂³	1	4	yes	complemented
383	#14524028	C₂³	1	4	yes	complemented
384	#14524028	C₂³	1	4	yes	complemented
385	#14524028	C₂³	1	2	yes	complemented
386	#14524028	C₂³	1	2	yes	complemented
387	#14524027	C₂³	1	4	yes	complemented
388	#14524027	C₂³	1	4	yes	complemented
389	#14524027	C₂³	1	4	yes	complemented
390	#14524026	C₂³	1	4	yes	—
391	#14524026	C₂³	1	4	yes	complemented
392	#14524026	C₂³	1	4	yes	complemented
393	#14524026	C₂³	1	4	yes	complemented
394	#14524026	C₂³	1	4	yes	complemented
395	#14524026	C₂³	1	4	yes	complemented
396	#14524026	C₂³	1	4	yes	complemented
397	#14524026	C₂³	1	4	yes	complemented
398	#14524025	C₂³	1	2	yes	—
399	#14524025	C₂³	1	4	yes	—
400	#14524025	C₂³	1	2	yes	—
401	#14524025	C₂³	1	4	yes	—
402	#14524025	C₂³	1	4	yes	complemented
403	#14524025	C₂³	1	4	yes	complemented
404	#14524025	C₂³	1	4	yes	complemented
405	#14524025	C₂³	1	4	yes	complemented
406	#14524025	C₂³	1	4	yes	complemented
407	#14524025	C₂³	1	2	yes	complemented
408	#14524025	C₂³	1	4	yes	complemented
409	#14524025	C₂³	1	2	yes	complemented
410	#14524025	C₂³	1	4	yes	complemented
411	#14524024	C₂³	1	4	yes	—
412	#14524024	C₂³	1	4	yes	—
413	#14524024	C₂³	1	4	yes	complemented
414	#14524024	C₂³	1	4	yes	complemented
415	#14524024	C₂³	1	4	yes	complemented
416	#14524024	C₂³	1	4	yes	complemented
417	#14524024	C₂³	1	4	yes	complemented
418	#14524024	C₂³	1	4	yes	complemented
419	#14524023	C₂³	1	2	yes	—
420	#14524023	C₂³	1	2	yes	—
421	#14524023	C₂³	1	2	yes	complemented
422	#14524023	C₂³	1	4	yes	complemented
423	#14524023	C₂³	1	2	yes	complemented
424	#14524023	C₂³	1	2	yes	complemented
425	#14524022	C₂³	1	2	yes	—
426	#14524022	C₂³	1	2	yes	—
427	#14524022	C₂³	1	4	yes	complemented
428	#14524022	C₂³	1	4	yes	complemented
429	#14524022	C₂³	1	2	yes	complemented
430	#14524022	C₂³	1	2	yes	complemented
431	#14524022	C₂³	1	2	yes	complemented
432	#14524021	C₂³	1	2	yes	—
433	#14524021	C₂³	1	4	yes	—
434	#14524021	C₂³	1	4	yes	—
435	#14524021	C₂³	1	2	yes	—
436	#14524021	C₂³	1	2	yes	complemented
437	#14524021	C₂³	1	4	yes	complemented
438	#14524021	C₂³	1	4	yes	complemented
439	#14524021	C₂³	1	2	yes	complemented
440	#14524020	C₂³	1	2	yes	—
441	#14524020	C₂³	1	2	yes	—
442	#14524020	C₂³	1	4	yes	complemented
443	#14524020	C₂³	1	4	yes	complemented
444	#14524020	C₂³	1	4	yes	complemented
445	#14524020	C₂³	1	4	yes	complemented
446	#14524020	C₂³	1	2	yes	complemented
447	#14524020	C₂³	1	2	yes	complemented
448	#14524019	C₂³	1	4	yes	—
449	#14524019	C₂³	1	4	yes	—
450	#14524019	C₂³	1	4	yes	complemented
451	#14524019	C₂³	1	4	yes	complemented
452	#14524018	C₂³	1	2	yes	—
453	#14524018	C₂³	1	2	yes	—
454	#14524018	C₂³	1	2	yes	—
455	#14524018	C₂³	1	2	yes	—
456	#14524018	C₂³	1	4	yes	complemented
457	#14524018	C₂³	1	4	yes	complemented
458	#14524018	C₂³	1	2	yes	complemented
459	#14524017	C₂³	1	2	yes	—
460	#14524017	C₂³	1	2	yes	—
461	#14524017	C₂³	1	2	yes	—
462	#14524017	C₂³	1	2	yes	—
463	#14524017	C₂³	1	4	yes	complemented
464	#14524017	C₂³	1	4	yes	complemented
465	#14524017	C₂³	1	4	yes	complemented
466	#14524017	C₂³	1	4	yes	complemented
467	#14524017	C₂³	1	4	yes	complemented
468	#14524017	C₂³	1	4	yes	complemented
469	#14524017	C₂³	1	2	yes	complemented
470	#14524016	C₂³	1	4	yes	—
471	#14524016	C₂³	1	2	yes	—
472	#14524016	C₂³	1	4	yes	—
473	#14524016	C₂³	1	4	yes	—
474	#14524016	C₂³	1	4	yes	—
475	#14524016	C₂³	1	4	yes	—
476	#14524016	C₂³	1	4	yes	—
477	#14524016	C₂³	1	2	yes	—
478	#14524016	C₂³	1	4	yes	complemented
479	#14524016	C₂³	1	4	yes	complemented
480	#14524016	C₂³	1	4	yes	complemented
481	#14524016	C₂³	1	4	yes	complemented
482	#14524016	C₂³	1	4	yes	complemented
483	#14524016	C₂³	1	4	yes	complemented
484	#14524016	C₂³	1	4	yes	complemented
485	#14524016	C₂³	1	2	yes	complemented
486	#14524016	C₂³	1	2	yes	complemented
487	#14524015	C₂³	1	2	yes	—
488	#14524015	C₂³	1	4	yes	—
489	#14524015	C₂³	1	2	yes	—
490	#14524015	C₂³	1	4	yes	—
491	#14524015	C₂³	1	4	yes	—
492	#14524015	C₂³	1	4	yes	—
493	#14524015	C₂³	1	4	yes	complemented
494	#14524015	C₂³	1	4	yes	complemented
495	#14524015	C₂³	1	4	yes	complemented
496	#14524015	C₂³	1	4	yes	complemented
497	#14524015	C₂³	1	4	yes	complemented
498	#14524015	C₂³	1	4	yes	complemented
499	#14524015	C₂³	1	4	yes	complemented
500	#14524015	C₂³	1	4	yes	complemented
501	#14524015	C₂³	1	4	yes	complemented
502	#14524015	C₂³	1	4	yes	complemented
503	#14524015	C₂³	1	4	yes	complemented
504	#14524015	C₂³	1	4	yes	complemented
505	#14524015	C₂³	1	4	yes	complemented
506	#14524015	C₂³	1	4	yes	complemented
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	#14524015	C₂³	1	2	yes	complemented
514	#14524015	C₂³	1	2	yes	complemented
515	#14524014	C₂³	1	2	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	2	yes	—
521	#14524014	C₂³	1	2	yes	—
522	#14524014	C₂³	1	2	yes	—
523	#14524014	C₂³	1	2	yes	complemented
524	#14524014	C₂³	1	4	yes	complemented
525	#14524014	C₂³	1	4	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	2	yes	complemented
530	#14524013	C₂³	1	2	yes	—
531	#14524013	C₂³	1	2	yes	—
532	#14524013	C₂³	1	4	yes	—
533	#14524013	C₂³	1	4	yes	—
534	#14524013	C₂³	1	2	yes	—
535	#14524013	C₂³	1	2	yes	—
536	#14524013	C₂³	1	4	yes	complemented
537	#14524013	C₂³	1	4	yes	complemented
538	#14524013	C₂³	1	4	yes	complemented
539	#14524012	C₂³	1	4	yes	—
540	#14524012	C₂³	1	4	yes	complemented
541	#14524012	C₂³	1	4	yes	complemented
542	#14524012	C₂³	1	4	yes	complemented
543	#14524012	C₂³	1	4	yes	complemented
544	#14524012	C₂³	1	4	yes	complemented
545	#14524012	C₂³	1	4	yes	complemented
546	#14524011	C₂³	1	4	yes	—
547	#14524011	C₂³	1	4	yes	—
548	#14524011	C₂³	1	4	yes	—
549	#14524011	C₂³	1	2	yes	—
550	#14524011	C₂³	1	2	yes	—
551	#14524011	C₂³	1	4	yes	—
552	#14524011	C₂³	1	4	yes	—
553	#14524011	C₂³	1	4	yes	—
554	#14524011	C₂³	1	4	yes	—
555	#14524011	C₂³	1	4	yes	—
556	#14524011	C₂³	1	4	yes	—
557	#14524011	C₂³	1	4	yes	—
558	#14524011	C₂³	1	4	yes	—
559	#14524011	C₂³	1	2	yes	—
560	#14524011	C₂³	1	2	yes	—
561	#14524011	C₂³	1	4	yes	—
562	#14524011	C₂³	1	4	yes	complemented
563	#14524011	C₂³	1	4	yes	complemented
564	#14524011	C₂³	1	4	yes	complemented
565	#14524011	C₂³	1	4	yes	complemented
566	C₄×Dic₁₃₄	C₂³	1	2	yes	complemented
567	#14524008	C₂³	1	4	yes	complemented
568	#14524008	C₂³	1	2	yes	complemented
569	C₄×D₂₆₈	C₂³	1	2	yes	—
570	C₄×D₂₆₈	C₂³	1	2	yes	—
571	C₄×D₂₆₈	C₂³	1	2	yes	complemented
572	C₄×D₂₆₈	C₂³	1	2	yes	complemented
573	C₄×D₂₆₈	C₂³	1	2	yes	complemented
574	D₄×Dic₆₇	C₂³	1	4	yes	—
575	D₄×Dic₆₇	C₂³	1	4	yes	—
576	D₄×Dic₆₇	C₂³	1	2	yes	complemented
577	D₄×Dic₆₇	C₂³	1	2	yes	complemented
578	D₄×Dic₆₇	C₂³	1	4	yes	complemented
579	D₄×Dic₆₇	C₂³	1	4	yes	complemented
580	D₄×Dic₆₇	C₂³	1	4	yes	complemented
581	D₄×Dic₆₇	C₂³	1	4	yes	complemented
582	D₄×Dic₆₇	C₂³	1	4	yes	complemented
583	D₄×Dic₆₇	C₂³	1	4	yes	complemented
584	D₄×Dic₆₇	C₂³	1	4	yes	complemented
585	#14524005	C₂³	1	4	yes	—
586	#14524005	C₂³	1	4	yes	—
587	#14524005	C₂³	1	2	yes	complemented
588	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	—
589	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	—
590	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	—
591	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	—
592	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
593	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
594	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
595	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
596	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
597	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
598	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	complemented
599	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
600	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
601	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
602	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
603	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	complemented
604	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	complemented
605	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
606	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	complemented
607	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
608	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
609	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
610	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
611	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
612	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
613	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
614	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
615	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
616	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
617	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
618	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
619	#14524002	C₂³	1	4	yes	—
620	#14524002	C₂³	1	2	yes	complemented
621	#14524001	C₂³	1	2	yes	—
622	#14524001	C₂³	1	2	yes	—
623	#14524001	C₂³	1	2	yes	complemented
624	#14524001	C₂³	1	4	yes	complemented
625	#14524001	C₂³	1	2	yes	complemented
626	#14524001	C₂³	1	2	yes	complemented
627	#14524000	C₂³	1	2	yes	—
628	#14524000	C₂³	1	2	yes	—
629	#14524000	C₂³	1	2	yes	complemented
630	#14524000	C₂³	1	4	yes	complemented
631	#14524000	C₂³	1	2	yes	complemented
632	#14523999	C₂³	1	4	yes	—
633	#14523999	C₂³	1	4	yes	complemented
634	#14523999	C₂³	1	4	yes	complemented
635	#14523999	C₂³	1	4	yes	complemented
636	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
637	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic, complemented
638	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic, complemented
639	C₂×C₄⋊Dic₆₇	C₂³	1	2	yes	complemented
640	C₂×Dic₆₇⋊C₄	C₂³	1	2	yes	—
641	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic, complemented
642	C₂×Dic₆₇⋊C₄	C₂³	1	4	yes	complemented
643	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic, complemented
644	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic, complemented
645	C₂×Dic₆₇⋊C₄	C₂³	1	2	yes	complemented
646	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic, complemented
647	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
648	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
649	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
650	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
651	C₄⋊C₄×D₆₇	C₂³	1	2	yes	complemented
652	C₂×C₂²⋊Dic₆₇	C₂³	1	4	yes	—
653	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	—
654	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
655	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	—
656	C₂×C₂²⋊Dic₆₇	C₂³	1	4	yes	complemented
657	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic, complemented
658	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	complemented
659	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	—
660	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
661	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
662	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
663	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
664	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
665	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	—
666	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
667	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
668	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
669	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic, complemented
670	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	complemented
671	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic, complemented
672	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
673	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
674	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
675	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
676	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
677	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
678	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
679	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
680	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic, complemented
681	C₂×C₄×Dic₆₇	C₂³	1	2	yes	complemented
682	H(5,𝔽₂)×C₆₇	—	4	8	no	—
683	C₂×#41×C₆₇	C₂³	1	4	yes	—
684	C₂×#41×C₆₇	C₂³	1	4	yes	complemented
685	C₂×#41×C₆₇	C₂³	1	4	yes	complemented
686	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
687	C₂²×D₄×C₆₇	C₂³	1	2	yes	—
688	C₂²×D₄×C₆₇	C₂³	1	2	yes	—
689	C₂²×D₄×C₆₇	C₂³	1	4	yes	—
690	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
691	C₂²×D₄×C₆₇	C₂³	1	4	yes	complemented
692	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic, complemented
693	C₂²×D₄×C₆₇	C₂³	1	4	yes	complemented
694	C₂²×D₄×C₆₇	C₂³	1	2	yes	complemented
695	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
696	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic, complemented
697	C₄⋊Q₈×C₆₇	C₂³	1	2	yes	complemented
698	#127×C₆₇	C₂³	1	2	yes	complemented
699	#124×C₆₇	C₂³	1	4	yes	complemented
700	#123×C₆₇	C₂³	1	4	yes	—
701	#123×C₆₇	C₂³	1	4	yes	complemented
702	#123×C₆₇	C₂³	1	4	yes	complemented
703	#123×C₆₇	C₂³	1	4	yes	complemented
704	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	complemented
705	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	complemented
706	#121×C₆₇	C₂³	1	2	yes	—
707	#121×C₆₇	C₂³	1	2	yes	—
708	#121×C₆₇	C₂³	1	2	yes	—
709	#121×C₆₇	C₂³	1	2	yes	—
710	#121×C₆₇	C₂³	1	2	yes	—
711	#121×C₆₇	C₂³	1	2	yes	—
712	#121×C₆₇	C₂³	1	4	yes	complemented
713	#121×C₆₇	C₂³	1	4	yes	complemented
714	#121×C₆₇	C₂³	1	4	yes	complemented
715	#121×C₆₇	C₂³	1	4	yes	complemented
716	#121×C₆₇	C₂³	1	4	yes	complemented
717	#121×C₆₇	C₂³	1	2	yes	complemented
718	#121×C₆₇	C₂³	1	2	yes	complemented
719	#121×C₆₇	C₂³	1	2	yes	complemented
720	#121×C₆₇	C₂³	1	2	yes	complemented
721	#120×C₆₇	C₂³	1	4	yes	—
722	#120×C₆₇	C₂³	1	4	yes	complemented
723	#120×C₆₇	C₂³	1	4	yes	complemented
724	#120×C₆₇	C₂³	1	4	yes	complemented
725	C₄×D₄×C₆₇	C₂³	1	2	yes	—
726	C₄×D₄×C₆₇	C₂³	1	2	yes	—
727	C₄×D₄×C₆₇	C₂³	1	2	yes	complemented
728	C₄×D₄×C₆₇	C₂³	1	2	yes	complemented
729	C₄×D₄×C₆₇	C₂³	1	2	yes	complemented
730	C₄×D₄×C₆₇	C₂³	1	2	yes	complemented
731	C₄×D₄×C₆₇	C₂³	1	4	yes	complemented
732	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
733	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic, complemented
734	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic, complemented
735	C₂×C₄⋊C₄×C₆₇	C₂³	1	2	yes	complemented
736	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
737	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	—
738	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	complemented
739	C₂×C₂²⋊C₄×C₆₇	C₂³	1	4	yes	complemented
740	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic, complemented
741	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic, complemented
742	C₂³×D₆₇	—	2	4	no	—
743	C₂³×D₆₇	—	4	2	no	—
744	C₂³×D₆₇	—	4	2	no	—
745	C₂³×D₆₇	—	4	4	no	—
746	C₂³×D₆₇	—	4	4	no	—
747	C₂³×D₆₇	—	4	4	no	—
748	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
749	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
750	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
751	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
752	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
753	C₂³×D₆₇	C₂⁴	1	4	yes	—
754	C₂³×D₆₇	C₂⁴	1	4	yes	—
755	C₂³×D₆₇	C₂⁴	1	2	yes	—
756	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
757	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
758	C₂³×D₆₇	C₂⁴	1	4	yes	—
759	#11761628	—	2	8	no	—
760	#11761628	—	4	4	no	—
761	#11761628	—	4	4	no	—
762	#11761628	—	4	4	no	—
763	#11761628	—	4	4	no	—
764	#11761628	—	4	8	no	—
765	#11761627	—	2	8	no	—
766	#11761627	—	4	4	no	—
767	#11761627	—	4	4	no	—
768	#11761627	—	4	8	no	—
769	#11761627	—	4	4	no	—
770	#11761627	—	4	4	no	—
771	#11761627	—	4	8	no	—
772	#11761627	—	4	8	no	—
773	C₂×Dic₁₃₄	—	4	2	no	—
774	C₂×Dic₁₃₄	—	4	2	no	—
775	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
776	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
777	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
778	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
779	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
780	C₂×D₂₆₈	—	4	2	no	—
781	C₂×D₂₆₈	—	4	2	no	—
782	C₂×D₂₆₈	—	4	2	no	—
783	C₂×D₂₆₈	—	4	4	no	—
784	C₂×D₂₆₈	C₂⁴	1	2	yes	—
785	C₂×D₂₆₈	C₂⁴	1	2	yes	—
786	C₂×D₂₆₈	C₂⁴	1	2	yes	—
787	C₂×D₂₆₈	C₂⁴	1	2	yes	—
788	C₂×D₂₆₈	C₂⁴	1	2	yes	—
789	C₂×D₂₆₈	C₂⁴	1	4	yes	—
790	C₂×D₂₆₈	C₂⁴	1	2	yes	—
791	C₂×D₂₆₈	C₂⁴	1	4	yes	—
792	C₂×D₂₆₈	C₂⁴	1	4	yes	—
793	C₂×C₂²⋊D₆₇	—	2	8	no	—
794	C₂×C₂²⋊D₆₇	—	2	4	no	—
795	C₂×C₂²⋊D₆₇	—	4	4	no	—
796	C₂×C₂²⋊D₆₇	—	4	2	no	—
797	C₂×C₂²⋊D₆₇	—	4	8	no	—
798	C₂×C₂²⋊D₆₇	—	4	4	no	—
799	C₂×C₂²⋊D₆₇	—	4	4	no	—
800	C₂×C₂²⋊D₆₇	—	4	8	no	—
801	C₂×C₂²⋊D₆₇	—	4	2	no	—
802	C₂×C₂²⋊D₆₇	—	4	4	no	—
803	C₂×C₂²⋊D₆₇	—	4	2	no	—
804	C₂×C₂²⋊D₆₇	—	4	8	no	—
805	C₂×C₂²⋊D₆₇	—	4	8	no	—
806	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
807	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
808	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
809	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
810	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
811	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
812	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
813	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
814	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
815	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
816	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
817	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
818	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
819	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
820	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
821	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
822	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
823	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
824	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
825	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
826	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
827	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
828	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
829	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
830	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
831	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
832	D₄×D₆₇	—	2	8	no	—
833	D₄×D₆₇	—	4	4	no	—
834	D₄×D₆₇	—	4	4	no	—
835	D₄×D₆₇	—	4	4	no	—
836	D₄×D₆₇	—	4	4	no	—
837	D₄×D₆₇	—	4	8	no	—
838	D₄×D₆₇	—	4	8	no	—
839	D₄×D₆₇	—	4	8	no	—
840	D₄×D₆₇	—	4	8	no	—
841	D₄×D₆₇	—	4	8	no	—
842	D₄×D₆₇	—	4	8	no	—
843	D₄×D₆₇	—	4	8	no	—
844	D₄×D₆₇	—	4	8	no	—
845	C₂²×Dic₆₇	—	4	2	no	—
846	C₂²×Dic₆₇	—	4	4	no	—
847	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
848	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
849	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
850	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
851	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
852	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
853	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
854	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
855	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
856	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
857	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
858	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
859	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
860	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
861	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
862	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
863	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
864	C₂×C₄×D₆₇	—	2	4	no	—
865	C₂×C₄×D₆₇	—	2	4	no	—
866	C₂×C₄×D₆₇	—	2	4	no	—
867	C₂×C₄×D₆₇	—	4	2	no	—
868	C₂×C₄×D₆₇	—	4	2	no	—
869	C₂×C₄×D₆₇	—	4	2	no	—
870	C₂×C₄×D₆₇	—	4	2	no	—
871	C₂×C₄×D₆₇	—	4	2	no	—
872	C₂×C₄×D₆₇	—	4	2	no	—
873	C₂×C₄×D₆₇	—	4	2	no	—
874	C₂×C₄×D₆₇	—	4	2	no	—
875	C₂×C₄×D₆₇	—	4	2	no	—
876	C₂×C₄×D₆₇	—	4	2	no	—
877	C₂×C₄×D₆₇	—	4	4	no	—
878	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
879	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
880	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
881	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
882	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
883	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
884	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
885	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
886	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
887	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
888	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
889	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
890	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
891	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
892	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
893	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
894	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
895	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
896	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
897	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
898	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
899	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
900	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
901	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
902	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
903	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
904	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
905	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
906	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
907	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
908	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
909	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
910	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
911	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
912	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
913	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
914	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
915	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
916	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
917	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
918	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
919	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
920	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
921	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
922	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
923	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
924	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
925	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
926	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
927	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
928	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
929	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
930	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
931	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
932	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
933	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
934	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
935	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
936	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
937	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
938	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
939	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
940	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
941	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
942	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
943	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
944	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
945	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
946	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
947	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
948	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
949	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
950	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
951	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
952	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
953	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
954	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
955	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
956	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
957	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
958	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
959	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
960	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
961	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
962	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
963	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
964	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
965	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
966	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
967	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
968	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
969	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
970	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
971	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
972	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
973	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
974	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
975	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
976	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
977	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
978	C₄×Dic₆₇	C₂⁴	1	2	yes	—
979	C₄×Dic₆₇	C₂⁴	1	4	yes	—
980	C₄×Dic₆₇	C₂⁴	1	2	yes	—
981	C₄×Dic₆₇	C₂⁴	1	4	yes	—
982	C₄×Dic₆₇	C₂⁴	1	4	yes	—
983	C₄×Dic₆₇	C₂⁴	1	4	yes	—
984	C₄×Dic₆₇	C₂⁴	1	4	yes	—
985	C₄×Dic₆₇	C₂⁴	1	4	yes	—
986	C₂⁴×C₆₇	C₂⁴	1	2	yes	—
987	C₂⁴×C₆₇	C₂⁴	1	2	yes	—
988	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
989	C₂⁴×C₆₇	C₂⁴	1	4	yes	—
990	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
991	#41×C₆₇	—	4	8	no	—
992	#41×C₆₇	—	4	8	no	—
993	#41×C₆₇	—	4	8	no	—
994	C₂×Q₈×C₆₇	C₂⁴	1	4	yes	—
995	C₂×D₄×C₆₇	—	2	4	no	—
996	C₂×D₄×C₆₇	—	2	8	no	—
997	C₂×D₄×C₆₇	—	2	8	no	—
998	C₂×D₄×C₆₇	—	4	2	no	—
999	C₂×D₄×C₆₇	—	4	2	no	—
1000	C₂×D₄×C₆₇	—	4	4	no	—
1001	C₂×D₄×C₆₇	—	4	8	no	—
1002	C₂×D₄×C₆₇	—	4	8	no	—
1003	C₂×D₄×C₆₇	—	4	8	no	—
1004	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
1005	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
1006	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
1007	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
1008	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
1009	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
1010	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
1011	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
1012	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
1013	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
1014	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
1015	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
1016	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
1017	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
1018	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
1019	C₂²×C₄×C₆₇	—	4	2	no	—
1020	C₂²×C₄×C₆₇	—	4	2	no	—
1021	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1022	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1023	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
1024	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
1025	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1026	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
1027	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1028	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1029	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1030	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1031	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
1032	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1033	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1034	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
1035	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
1036	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
1037	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1038	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1039	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1040	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1041	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1042	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1043	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1044	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1045	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1046	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1047	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1048	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1049	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1050	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1051	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1052	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1053	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1054	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1055	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1056	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1057	C₄²×C₆₇	C₂⁴	1	2	yes	—
1058	C₄²×C₆₇	C₂⁴	1	2	yes	—
1059	C₂³×C₆₇	—	2	2	no	—
1060	C₂³×C₆₇	—	2	4	no	—
1061	C₂³×C₆₇	—	2	4	no	—
1062	C₂³×C₆₇	—	4	1	no	—
1063	C₂³×C₆₇	—	4	1	no	—
1064	C₂³×C₆₇	—	4	1	no	—
1065	C₂³×C₆₇	—	4	2	no	—
1066	C₂³×C₆₇	—	4	2	no	—
1067	C₂³×C₆₇	—	4	2	no	—
1068	C₂³×C₆₇	—	4	1	no	—
1069	C₂³×C₆₇	—	4	2	no	—
1070	C₂³×C₆₇	—	4	4	no	—
1071	C₂³×C₆₇	—	4	4	no	—
1072	C₂³×C₆₇	—	4	4	no	—
1073	C₂³×C₆₇	H(5,𝔽₂)	1	4	yes	complemented
1074	C₂³×C₆₇	C₂⁵	1	4	yes	—
1075	C₂³×C₆₇	C₂⁵	1	4	yes	—
1076	C₂³×C₆₇	C₂⁵	1	2	yes	—
1077	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
1078	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
1079	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
1080	C₂²×D₆₇	—	2	2	no	—
1081	C₂²×D₆₇	—	2	2	no	—
1082	C₂²×D₆₇	—	2	2	no	—
1083	C₂²×D₆₇	—	2	2	no	—
1084	C₂²×D₆₇	—	2	2	no	—
1085	C₂²×D₆₇	—	2	2	no	—
1086	C₂²×D₆₇	—	2	2	no	—
1087	C₂²×D₆₇	—	2	2	no	—
1088	C₂²×D₆₇	—	2	2	no	—
1089	C₂²×D₆₇	—	2	4	no	—
1090	C₂²×D₆₇	—	2	2	no	—
1091	C₂²×D₆₇	—	2	2	no	—
1092	C₂²×D₆₇	—	2	2	no	—
1093	C₂²×D₆₇	—	2	2	no	—
1094	C₂²×D₆₇	—	2	8	no	—
1095	C₂²×D₆₇	—	2	8	no	—
1096	C₂²×D₆₇	—	4	1	no	—
1097	C₂²×D₆₇	—	4	1	no	—
1098	C₂²×D₆₇	—	4	1	no	—
1099	C₂²×D₆₇	—	4	1	no	—
1100	C₂²×D₆₇	—	4	1	no	—
1101	C₂²×D₆₇	—	4	1	no	—
1102	C₂²×D₆₇	—	4	1	no	—
1103	C₂²×D₆₇	—	4	4	no	—
1104	C₂²×D₆₇	—	4	4	no	—
1105	C₂²×D₆₇	—	4	4	no	—
1106	C₂²×D₆₇	—	4	2	no	—
1107	C₂²×D₆₇	—	4	1	no	—
1108	C₂²×D₆₇	—	4	4	no	—
1109	C₂²×D₆₇	—	4	2	no	—
1110	C₂²×D₆₇	—	4	4	no	—
1111	C₂²×D₆₇	—	4	4	no	—
1112	C₂²×D₆₇	—	4	4	no	—
1113	C₂²×D₆₇	—	4	16	no	—
1114	C₂²×D₆₇	—	8	16	no	—
1115	C₂²×D₆₇	C₂⁵	1	4	yes	—
1116	C₂²×D₆₇	C₂⁵	1	1	yes	characteristic
1117	C₂²×D₆₇	C₂⁵	1	1	yes	characteristic
1118	C₂²×D₆₇	C₂⁵	1	2	yes	—
1119	C₂²×D₆₇	C₂⁵	1	1	yes	characteristic
1120	C₂²×D₆₇	C₂⁵	1	1	yes	characteristic
1121	Q₈×C₆₇	—	4	4	no	—
1122	D₄×C₆₇	—	2	4	no	—
1123	D₄×C₆₇	—	2	4	no	—
1124	D₄×C₆₇	—	2	8	no	—
1125	D₄×C₆₇	—	2	8	no	—
1126	D₄×C₆₇	—	2	8	no	—
1127	D₄×C₆₇	—	2	8	no	—
1128	D₄×C₆₇	—	2	4	no	—
1129	D₄×C₆₇	—	2	4	no	—
1130	D₄×C₆₇	—	4	4	no	—
1131	D₄×C₆₇	—	4	4	no	—
1132	D₄×C₆₇	—	4	4	no	—
1133	D₄×C₆₇	—	4	2	no	—
1134	D₄×C₆₇	—	4	4	no	—
1135	D₄×C₆₇	—	4	2	no	—
1136	D₄×C₆₇	—	4	4	no	—
1137	C₂×C₄×C₆₇	—	2	2	no	—
1138	C₂×C₄×C₆₇	—	2	4	no	—
1139	C₂×C₄×C₆₇	—	2	4	no	—
1140	C₂×C₄×C₆₇	—	2	2	no	—
1141	C₂×C₄×C₆₇	—	2	2	no	—
1142	C₂×C₄×C₆₇	—	2	2	no	—
1143	C₂×C₄×C₆₇	—	2	4	no	—
1144	C₂×C₄×C₆₇	—	4	1	no	—
1145	C₂×C₄×C₆₇	—	4	1	no	—
1146	C₂×C₄×C₆₇	—	4	1	no	—
1147	C₂×C₄×C₆₇	—	4	1	no	—
1148	C₂×C₄×C₆₇	—	4	2	no	—
1149	C₂×C₄×C₆₇	—	4	4	no	—
1150	C₂×C₄×C₆₇	—	4	4	no	—
1151	C₂×C₄×C₆₇	—	4	4	no	—
1152	C₂×C₄×C₆₇	—	4	1	no	—
1153	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
1154	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1155	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
1156	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
1157	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1158	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1159	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
1160	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
1161	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1162	C₂²⋊D₆₇	—	2	8	no	—
1163	C₂²⋊D₆₇	—	2	8	no	—
1164	C₂²⋊D₆₇	—	2	4	no	—
1165	C₂²⋊D₆₇	—	2	4	no	—
1166	C₂²⋊D₆₇	—	2	8	no	—
1167	C₂²⋊D₆₇	—	2	4	no	—
1168	C₂²⋊D₆₇	—	2	8	no	—
1169	C₂²⋊D₆₇	—	2	4	no	—
1170	C₂²⋊D₆₇	—	2	8	no	—
1171	C₂²⋊D₆₇	—	2	4	no	—
1172	C₂²⋊D₆₇	—	4	4	no	—
1173	C₂²⋊D₆₇	—	4	4	no	—
1174	C₂²⋊D₆₇	—	4	4	no	—
1175	C₂²⋊D₆₇	—	4	4	no	—
1176	C₂²⋊D₆₇	—	4	4	no	—
1177	C₂²⋊D₆₇	—	4	4	no	—
1178	C₂²⋊D₆₇	—	4	4	no	—
1179	C₂²⋊D₆₇	—	4	4	no	—
1180	C₂²⋊D₆₇	—	4	4	no	—
1181	C₂²⋊D₆₇	—	4	4	no	—
1182	C₂²⋊D₆₇	—	4	4	no	—
1183	C₂²⋊D₆₇	—	4	4	no	—
1184	C₂²⋊D₆₇	—	4	2	no	—
1185	C₂²⋊D₆₇	—	4	4	no	—
1186	C₂²⋊D₆₇	—	4	2	no	—
1187	C₂²⋊D₆₇	—	4	2	no	—
1188	C₂×Dic₆₇	—	2	4	no	—
1189	C₂×Dic₆₇	—	2	2	no	—
1190	C₂×Dic₆₇	—	2	2	no	—
1191	C₂×Dic₆₇	—	2	2	no	—
1192	C₂×Dic₆₇	—	2	2	no	—
1193	C₂×Dic₆₇	—	2	8	no	—
1194	C₂×Dic₆₇	—	4	1	no	—
1195	C₂×Dic₆₇	—	4	1	no	—
1196	C₂×Dic₆₇	—	4	1	no	—
1197	C₂×Dic₆₇	—	4	1	no	—
1198	C₂×Dic₆₇	—	4	2	no	—
1199	C₂×Dic₆₇	—	4	4	no	—
1200	C₂×Dic₆₇	—	4	2	no	—
1201	C₂×Dic₆₇	—	4	4	no	—
1202	C₂×Dic₆₇	—	4	1	no	—
1203	C₂×Dic₆₇	—	4	4	no	—
1204	C₂×Dic₆₇	—	4	4	no	—
1205	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1206	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1207	C₂×Dic₆₇	C₂⁵	1	4	yes	—
1208	C₂×Dic₆₇	C₂⁵	1	4	yes	—
1209	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1210	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1211	C₂×Dic₆₇	C₂⁵	1	4	yes	—
1212	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1213	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1214	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1215	D₂₆₈	—	2	4	no	—
1216	D₂₆₈	—	2	4	no	—
1217	D₂₆₈	—	2	4	no	—
1218	D₂₆₈	—	4	2	no	—
1219	D₂₆₈	—	4	4	no	—
1220	D₂₆₈	—	4	4	no	—
1221	D₂₆₈	—	4	4	no	—
1222	D₂₆₈	—	4	2	no	—
1223	D₂₆₈	—	4	2	no	—
1224	C₄×D₆₇	—	2	2	no	—
1225	C₄×D₆₇	—	2	2	no	—
1226	C₄×D₆₇	—	2	2	no	—
1227	C₄×D₆₇	—	2	2	no	—
1228	C₄×D₆₇	—	2	2	no	—
1229	C₄×D₆₇	—	2	2	no	—
1230	C₄×D₆₇	—	2	4	no	—
1231	C₄×D₆₇	—	2	2	no	—
1232	C₄×D₆₇	—	2	2	no	—
1233	C₄×D₆₇	—	2	2	no	—
1234	C₄×D₆₇	—	4	1	no	—
1235	C₄×D₆₇	—	4	1	no	—
1236	C₄×D₆₇	—	4	1	no	—
1237	C₄×D₆₇	—	4	1	no	—
1238	C₄×D₆₇	—	4	1	no	—
1239	C₄×D₆₇	—	4	1	no	—
1240	C₄×D₆₇	—	4	4	no	—
1241	C₄×D₆₇	—	4	4	no	—
1242	C₄×D₆₇	—	4	2	no	—
1243	C₄×D₆₇	—	4	4	no	—
1244	C₄×D₆₇	—	4	4	no	—
1245	C₄×D₆₇	—	4	4	no	—
1246	C₄×D₆₇	—	4	4	no	—
1247	C₄×D₆₇	H(5,𝔽₂)	1	4	yes	complemented
1248	Dic₁₃₄	—	2	4	no	—
1249	Dic₁₃₄	—	2	4	no	—
1250	Dic₁₃₄	—	4	2	no	—
1251	Dic₁₃₄	—	4	2	no	—
1252	Dic₁₃₄	—	4	4	no	—
1253	C₂²×C₆₇	—	2	1	no	—
1254	C₂²×C₆₇	—	2	1	no	—
1255	C₂²×C₆₇	—	2	1	no	—
1256	C₂²×C₆₇	—	2	1	no	—
1257	C₂²×C₆₇	—	2	1	no	—
1258	C₂²×C₆₇	—	2	1	no	—
1259	C₂²×C₆₇	—	2	4	no	—
1260	C₂²×C₆₇	—	2	4	no	—
1261	C₂²×C₆₇	—	2	4	no	—
1262	C₂²×C₆₇	—	2	2	no	—
1263	C₂²×C₆₇	—	2	4	no	—
1264	C₂²×C₆₇	—	2	2	no	—
1265	C₂²×C₆₇	—	2	4	no	—
1266	C₂²×C₆₇	—	2	2	no	—
1267	C₂²×C₆₇	—	2	4	no	—
1268	C₂²×C₆₇	—	4	4	no	—
1269	C₂²×C₆₇	—	8	4	no	—
1270	C₂²×C₆₇	—	8	2	no	—
1271	C₂²×C₆₇	—	8	4	no	—
1272	C₂²×C₆₇	—	16	4	no	—
1273	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1274	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1275	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1276	C₂²×C₆₇	C₂⁶	1	1	yes	characteristic
1277	C₂×D₆₇	—	2	8	no	—
1278	C₂×D₆₇	—	2	1	no	—
1279	C₂×D₆₇	—	2	1	no	—
1280	C₂×D₆₇	—	2	1	no	—
1281	C₂×D₆₇	—	2	1	no	—
1282	C₂×D₆₇	—	2	1	no	—
1283	C₂×D₆₇	—	2	1	no	—
1284	C₂×D₆₇	—	2	2	no	—
1285	C₂×D₆₇	—	2	2	no	—
1286	C₂×D₆₇	—	2	4	no	—
1287	C₂×D₆₇	—	2	4	no	—
1288	C₂×D₆₇	—	2	1	no	—
1289	C₂×D₆₇	—	2	1	no	—
1290	C₂×D₆₇	—	2	4	no	—
1291	C₂×D₆₇	—	2	2	no	—
1292	C₂×D₆₇	—	2	1	no	—
1293	C₂×D₆₇	—	2	1	no	—
1294	C₂×D₆₇	—	4	4	no	—
1295	C₂×D₆₇	—	4	4	no	—
1296	C₂×D₆₇	—	4	4	no	—
1297	C₂×D₆₇	—	4	4	no	—
1298	C₂×D₆₇	—	4	4	no	—
1299	C₂×D₆₇	—	8	8	no	—
1300	C₂×D₆₇	—	8	8	no	—
1301	C₂×D₆₇	—	8	2	no	—
1302	C₂×D₆₇	—	8	4	no	—
1303	C₂×D₆₇	—	16	4	no	—
1304	C₂×D₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1305	C₂×D₆₇	#585	1	2	yes	—
1306	C₄×C₆₇	—	2	2	no	—
1307	C₄×C₆₇	—	2	1	no	—
1308	C₄×C₆₇	—	2	4	no	—
1309	C₄×C₆₇	—	2	1	no	—
1310	C₄×C₆₇	—	2	1	no	—
1311	C₄×C₆₇	—	2	4	no	—
1312	C₄×C₆₇	—	2	2	no	—
1313	C₄×C₆₇	—	2	2	no	—
1314	C₄×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1315	Dic₆₇	—	2	2	no	—
1316	Dic₆₇	—	2	4	no	—
1317	Dic₆₇	—	2	1	no	—
1318	Dic₆₇	—	2	2	no	—
1319	Dic₆₇	—	2	4	no	—
1320	Dic₆₇	—	2	1	no	—
1321	Dic₆₇	—	2	1	no	—
1322	Dic₆₇	—	2	4	no	—
1323	Dic₆₇	—	2	2	no	—
1324	Dic₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1325	#62818	—	67	1	no	maximal, Sylow
1326	C₂×C₆₇	—	2	2	no	—
1327	C₂×C₆₇	—	2	2	no	—
1328	C₂×C₆₇	—	2	2	no	—
1329	C₂×C₆₇	—	4	4	no	—
1330	C₂×C₆₇	—	4	4	no	—
1331	C₂×C₆₇	—	4	2	no	—
1332	C₂×C₆₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1333	C₂×C₆₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1334	C₂×C₆₇	C₂×#585	1	1	yes	characteristic
1335	D₆₇	—	2	2	no	—
1336	D₆₇	—	2	2	no	—
1337	D₆₇	—	4	1	no	—
1338	D₆₇	—	4	1	no	—
1339	D₆₇	—	4	4	no	—
1340	D₆₇	—	4	2	no	—
1341	#3542	—	67	2	no	—
1342	#3542	—	67	4	no	—
1343	#3542	—	67	2	no	—
1344	#3537	—	67	2	no	—
1345	#3537	—	67	2	no	—
1346	#3536	—	67	2	no	—
1347	#3536	—	67	2	no	—
1348	#3534	—	67	4	no	—
1349	#3534	—	67	2	no	—
1350	#3534	—	67	2	no	—
1351	#3519	—	67	4	no	—
1352	#3519	—	67	2	no	—
1353	#3519	—	67	2	no	—
1354	#3505	—	67	2	no	—
1355	#3505	—	67	1	no	—
1356	#3505	—	67	1	no	—
1357	#3496	—	67	2	no	—
1358	#3496	—	67	1	no	—
1359	#3496	D₆₇	1	1	yes	characteristic, complemented
1360	#3494	—	67	2	no	—
1361	#3494	—	67	2	no	—
1362	#3492	—	67	2	no	—
1363	#3490	—	67	4	no	—
1364	#3488	—	67	2	no	—
1365	#3488	—	67	2	no	—
1366	#3484	—	67	2	no	—
1367	#3484	—	67	2	no	—
1368	#3484	—	67	2	no	—
1369	C₂×#525	—	67	1	no	—
1370	C₂×#525	—	67	1	no	—
1371	C₂²×#121	—	67	1	no	—
1372	C₆₇	#62818	1	1	yes	characteristic, complemented, Sylow
1373	C₂×H(5,𝔽₂)	—	67	2	no	—
1374	C₂×H(5,𝔽₂)	—	67	2	no	—
1375	C₂×H(5,𝔽₂)	C₂×D₆₇	1	2	yes	complemented
1376	C₂²×#41	—	67	1	no	—
1377	C₂²×#41	—	67	1	no	—
1378	C₂³×D₄	—	67	2	no	—
1379	C₂³×D₄	—	67	1	no	—
1380	C₂⁴×C₄	—	67	1	no	—
1381	#562	—	67	4	no	—
1382	#562	—	67	4	no	—
1383	#562	—	67	4	no	—
1384	#562	—	67	4	no	—
1385	#560	—	67	4	no	—
1386	#560	—	67	4	no	—
1387	#560	—	67	4	no	—
1388	#560	—	67	4	no	—
1389	#555	—	67	2	no	—
1390	#555	—	67	4	no	—
1391	#555	—	67	2	no	—
1392	#554	—	67	2	no	—
1393	#554	—	67	4	no	—
1394	#554	—	67	2	no	—
1395	#553	—	67	4	no	—
1396	#553	—	67	4	no	—
1397	#553	—	67	2	no	—
1398	#553	—	67	4	no	—
1399	#553	—	67	4	no	—
1400	#553	—	67	2	no	—
1401	#553	—	67	4	no	—
1402	#553	—	67	2	no	—
1403	#553	—	67	4	no	—
1404	#553	—	67	4	no	—
1405	#553	—	67	2	no	—
1406	#553	—	67	2	no	—
1407	#553	—	67	2	no	—
1408	#552	—	67	4	no	—
1409	#552	—	67	2	no	—
1410	#552	—	67	2	no	—
1411	#551	—	67	4	no	—
1412	#551	—	67	4	no	—
1413	#551	—	67	4	no	—
1414	#551	—	67	4	no	—
1415	#551	—	67	4	no	—
1416	#551	—	67	4	no	—
1417	#551	—	67	4	no	—
1418	#551	—	67	4	no	—
1419	#550	—	67	2	no	—
1420	#550	—	67	2	no	—
1421	#550	—	67	4	no	—
1422	#548	—	67	2	no	—
1423	#548	—	67	4	no	—
1424	#548	—	67	2	no	—
1425	#547	—	67	4	no	—
1426	#547	—	67	4	no	—
1427	#547	—	67	2	no	—
1428	#547	—	67	2	no	—
1429	#547	C₂×D₆₇	1	2	yes	complemented
1430	#547	C₂×D₆₇	1	2	yes	complemented
1431	#546	—	67	4	no	—
1432	#546	—	67	4	no	—
1433	#546	—	67	4	no	—
1434	#546	—	67	4	no	—
1435	#546	—	67	4	no	—
1436	#546	—	67	4	no	—
1437	#546	—	67	2	no	—
1438	#546	—	67	4	no	—
1439	#546	—	67	2	no	—
1440	#546	—	67	4	no	—
1441	#546	—	67	4	no	—
1442	#546	—	67	4	no	—
1443	#546	—	67	4	no	—
1444	#546	—	67	4	no	—
1445	#546	—	67	4	no	—
1446	#546	—	67	4	no	—
1447	#546	—	67	4	no	—
1448	#546	—	67	2	no	—
1449	#546	—	67	4	no	—
1450	#546	—	67	4	no	—
1451	#546	—	67	4	no	—
1452	#546	—	67	2	no	—
1453	#546	—	67	2	no	—
1454	#546	—	67	2	no	—
1455	#546	—	67	4	no	—
1456	#546	—	67	4	no	—
1457	#546	—	67	4	no	—
1458	#546	C₂×D₆₇	1	4	yes	complemented
1459	#546	C₂×D₆₇	1	4	yes	complemented
1460	D₄²	—	67	4	no	—
1461	D₄²	—	67	4	no	—
1462	D₄²	—	67	4	no	—
1463	D₄²	—	67	4	no	—
1464	D₄²	—	67	4	no	—
1465	D₄²	—	67	2	no	—
1466	D₄²	—	67	4	no	—
1467	D₄²	—	67	2	no	—
1468	D₄²	—	67	2	no	—
1469	D₄²	—	67	2	no	—
1470	D₄²	—	67	4	no	—
1471	D₄²	—	67	4	no	—
1472	D₄²	—	67	4	no	—
1473	D₄²	—	67	4	no	—
1474	D₄²	—	67	4	no	—
1475	D₄²	C₂×D₆₇	1	2	yes	complemented
1476	D₄²	C₂×D₆₇	1	2	yes	complemented
1477	#544	—	67	2	no	—
1478	#543	—	67	4	no	—
1479	#542	—	67	2	no	—
1480	#542	—	67	4	no	—
1481	#542	—	67	2	no	—
1482	#540	—	67	2	no	—
1483	#540	—	67	4	no	—
1484	#540	—	67	4	no	—
1485	#540	—	67	4	no	—
1486	#540	—	67	4	no	—
1487	#540	—	67	2	no	—
1488	#540	—	67	4	no	—
1489	#539	—	67	4	no	—
1490	#539	—	67	4	no	—
1491	#539	—	67	4	no	—
1492	#539	—	67	2	no	—
1493	#539	—	67	2	no	—
1494	#538	—	67	4	no	—
1495	#538	—	67	4	no	—
1496	#538	—	67	4	no	—
1497	#538	—	67	4	no	—
1498	#538	—	67	2	no	—
1499	#538	—	67	4	no	—
1500	#538	—	67	4	no	—
1501	#538	—	67	4	no	—
1502	#538	—	67	4	no	—
1503	#538	—	67	2	no	—
1504	#538	—	67	4	no	—
1505	#537	—	67	4	no	—
1506	#537	—	67	2	no	—
1507	#537	—	67	4	no	—
1508	#537	—	67	2	no	—
1509	#537	—	67	2	no	—
1510	#537	—	67	2	no	—
1511	#537	C₂×D₆₇	1	2	yes	complemented
1512	#535	—	67	4	no	—
1513	#535	—	67	2	no	—
1514	#535	—	67	2	no	—
1515	#535	—	67	2	no	—
1516	#535	—	67	2	no	—
1517	#535	—	67	4	no	—
1518	#535	—	67	4	no	—
1519	#534	—	67	2	no	—
1520	#534	—	67	2	no	—
1521	#534	—	67	2	no	—
1522	#534	—	67	4	no	—
1523	#534	—	67	4	no	—
1524	#534	—	67	4	no	—
1525	#534	—	67	4	no	—
1526	#534	—	67	2	no	—
1527	#534	—	67	4	no	—
1528	#534	—	67	4	no	—
1529	#534	C₂×D₆₇	1	2	yes	complemented
1530	#534	C₂×D₆₇	1	2	yes	complemented
1531	#532	—	67	4	no	—
1532	#532	—	67	2	no	—
1533	#532	C₂×D₆₇	1	2	yes	complemented
1534	#529	—	67	4	no	—
1535	#529	—	67	2	no	—
1536	#529	—	67	2	no	—
1537	#525	—	67	4	no	—
1538	#525	—	67	2	no	—
1539	#525	—	67	4	no	—
1540	#525	—	67	2	no	—
1541	#525	—	67	2	no	—
1542	#525	—	67	2	no	—
1543	#525	—	67	2	no	—
1544	#525	—	67	2	no	—
1545	#525	—	67	2	no	—
1546	#525	—	67	2	no	—
1547	#525	—	67	2	no	—
1548	#525	—	67	2	no	—
1549	#525	—	67	4	no	—
1550	#525	—	67	2	no	—
1551	#525	—	67	2	no	—
1552	#525	—	67	2	no	—
1553	#525	—	67	2	no	—
1554	#525	—	67	2	no	—
1555	#525	—	67	2	no	—
1556	#525	—	67	2	no	—
1557	#525	—	67	2	no	—
1558	C₂×#123	—	67	1	no	—
1559	C₂×#123	—	67	2	no	—
1560	C₂×#123	—	67	1	no	—
1561	C₂×C₂²⋊Q₈	—	67	1	no	—
1562	C₂×C₂²⋊Q₈	—	67	1	no	—
1563	C₂×C₂²⋊Q₈	—	67	1	no	—
1564	C₂×C₂²⋊Q₈	—	67	1	no	—
1565	C₂×#121	—	67	1	no	—
1566	C₂×#121	—	67	2	no	—
1567	C₂×#121	—	67	1	no	—
1568	C₂×#121	—	67	1	no	—
1569	C₂×#121	—	67	4	no	—
1570	C₂×#121	—	67	1	no	—
1571	C₂×#121	—	67	2	no	—
1572	C₂×#121	—	67	2	no	—
1573	C₂×#121	—	67	2	no	—
1574	C₂×#121	—	67	2	no	—
1575	C₂×#121	—	67	2	no	—
1576	C₂×#121	—	67	2	no	—
1577	C₂×#121	—	67	2	no	—
1578	C₂×#121	—	67	2	no	—
1579	C₂×#121	—	67	2	no	—
1580	C₂×#121	—	67	1	no	—
1581	C₂×#121	—	67	2	no	—
1582	C₂×#121	—	67	1	no	—
1583	C₂×#121	C₂×D₆₇	1	1	yes	characteristic, complemented
1584	C₂×#121	C₂×D₆₇	1	1	yes	characteristic, complemented
1585	C₂×#121	C₂×D₆₇	1	2	yes	complemented
1586	C₂×#120	—	67	2	no	—
1587	C₂×#120	—	67	1	no	—
1588	C₂×#120	—	67	4	no	—
1589	C₂×#120	—	67	4	no	—
1590	C₂×#120	—	67	1	no	—
1591	#520	—	67	2	no	—
1592	#520	—	67	2	no	—
1593	#518	—	67	2	no	—
1594	#518	—	67	2	no	—
1595	#518	—	67	4	no	—
1596	#518	—	67	2	no	—
1597	#518	—	67	4	no	—
1598	C₂×C₄×D₄	—	67	2	no	—
1599	C₂×C₄×D₄	—	67	1	no	—
1600	C₂×C₄×D₄	—	67	1	no	—
1601	C₂×C₄×D₄	—	67	2	no	—
1602	C₂×C₄×D₄	—	67	1	no	—
1603	C₂×C₄×D₄	C₂×D₆₇	1	1	yes	characteristic, complemented
1604	C₂×#117	—	67	1	no	—
1605	C₂×#117	—	67	1	no	—
1606	C₂²×C₄⋊C₄	—	67	1	no	—
1607	C₂²×C₂²⋊C₄	—	67	2	no	—
1608	C₂⁵	—	67	2	no	—
1609	C₂⁵	—	67	1	no	—
1610	H(5,𝔽₂)	—	4	8	no	—
1611	H(5,𝔽₂)	—	268	8	no	—
1612	H(5,𝔽₂)	—	268	8	no	—
1613	C₂×#41	—	268	4	no	—
1614	C₂×#41	—	268	4	no	—
1615	C₂×#41	—	67	2	no	—
1616	C₂×#41	—	67	2	no	—
1617	C₂×#41	—	67	2	no	—
1618	C₂×#41	—	67	4	no	—
1619	C₂×#41	—	67	2	no	—
1620	C₂×#41	—	67	4	no	—
1621	C₂×#41	—	67	4	no	—
1622	C₂×#41	—	67	2	no	—
1623	C₂×#41	—	67	2	no	—
1624	C₂×#41	—	67	2	no	—
1625	C₂×#41	—	67	2	no	—
1626	C₂×#41	—	67	2	no	—
1627	C₂×#41	—	67	4	no	—
1628	C₂×#41	—	67	2	no	—
1629	C₂×#41	C₂²×D₆₇	1	4	yes	—
1630	C₂×#41	C₂²×D₆₇	1	4	yes	complemented
1631	C₂×#41	C₂²×D₆₇	1	4	yes	complemented
1632	C₂²×Q₈	—	67	1	no	—
1633	C₂²×Q₈	—	67	1	no	—
1634	C₂²×D₄	—	268	8	no	—
1635	C₂²×D₄	—	268	4	no	—
1636	C₂²×D₄	—	67	1	no	—
1637	C₂²×D₄	—	67	2	no	—
1638	C₂²×D₄	—	67	4	no	—
1639	C₂²×D₄	—	67	1	no	—
1640	C₂²×D₄	—	67	2	no	—
1641	C₂²×D₄	—	67	4	no	—
1642	C₂²×D₄	—	67	2	no	—
1643	C₂²×D₄	—	67	1	no	—
1644	C₂²×D₄	—	67	2	no	—
1645	C₂²×D₄	—	67	4	no	—
1646	C₂²×D₄	—	67	4	no	—
1647	C₂²×D₄	—	67	4	no	—
1648	C₂²×D₄	—	67	4	no	—
1649	C₂²×D₄	—	67	4	no	—
1650	C₂²×D₄	—	67	2	no	—
1651	C₂²×D₄	—	67	4	no	—
1652	C₂²×D₄	—	67	4	no	—
1653	C₂²×D₄	—	67	4	no	—
1654	C₂²×D₄	—	67	4	no	—
1655	C₂²×D₄	—	67	2	no	—
1656	C₂²×D₄	—	67	2	no	—
1657	C₂²×D₄	—	67	4	no	—
1658	C₂²×D₄	—	67	2	no	—
1659	C₂²×D₄	—	67	1	no	—
1660	C₂²×D₄	—	67	2	no	—
1661	C₂²×D₄	—	67	2	no	—
1662	C₂²×D₄	—	67	1	no	—
1663	C₂²×D₄	—	67	1	no	—
1664	C₂²×D₄	—	67	2	no	—
1665	C₂²×D₄	—	67	1	no	—
1666	C₂²×D₄	C₂²×D₆₇	1	2	yes	—
1667	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1668	C₂²×D₄	C₂²×D₆₇	1	2	yes	—
1669	C₂²×D₄	C₂²×D₆₇	1	4	yes	—
1670	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1671	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic, complemented
1672	C₂²×D₄	C₂²×D₆₇	1	4	yes	complemented
1673	C₂²×D₄	C₂²×D₆₇	1	4	yes	complemented
1674	C₂²×D₄	C₂²×D₆₇	1	2	yes	complemented
1675	C₂³×C₄	—	268	4	no	—
1676	C₂³×C₄	—	67	1	no	—
1677	C₂³×C₄	—	67	2	no	—
1678	C₂³×C₄	—	67	1	no	—
1679	C₂³×C₄	—	67	2	no	—
1680	C₂³×C₄	—	67	1	no	—
1681	C₂³×C₄	—	67	1	no	—
1682	C₂³×C₄	—	67	1	no	—
1683	C₂³×C₄	—	67	1	no	—
1684	C₂³×C₄	—	67	1	no	—
1685	C₂³×C₄	—	67	1	no	—
1686	C₂³×C₄	—	67	1	no	—
1687	C₂³×C₄	—	67	1	no	—
1688	C₂³×C₄	—	67	1	no	—
1689	C₂³×C₄	—	67	1	no	—
1690	C₂³×C₄	—	67	1	no	—
1691	C₂³×C₄	—	67	1	no	—
1692	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1693	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic, complemented
1694	C₄⋊Q₈	—	67	4	no	—
1695	C₄⋊Q₈	—	67	2	no	—
1696	C₄⋊Q₈	C₂²×D₆₇	1	2	yes	complemented
1697	#127	—	67	2	no	—
1698	#127	—	67	4	no	—
1699	#127	—	67	4	no	—
1700	#127	—	67	4	no	—
1701	#127	—	67	4	no	—
1702	#127	—	67	4	no	—
1703	#127	C₂²×D₆₇	1	2	yes	complemented
1704	#126	—	67	4	no	—
1705	#126	—	67	4	no	—
1706	#126	—	67	4	no	—
1707	#126	—	67	4	no	—
1708	#126	—	67	4	no	—
1709	#126	—	67	4	no	—
1710	#126	—	67	4	no	—
1711	#126	—	67	4	no	—
1712	#126	—	67	4	no	—
1713	#126	—	67	4	no	—
1714	#126	—	67	4	no	—
1715	#126	—	67	4	no	—
1716	#125	—	67	4	no	—
1717	#125	—	67	2	no	—
1718	#125	—	67	4	no	—
1719	#125	—	67	4	no	—
1720	#125	—	67	4	no	—
1721	#125	—	67	4	no	—
1722	#125	—	67	2	no	—
1723	#124	—	67	4	no	—
1724	#124	—	67	4	no	—
1725	#124	—	67	4	no	—
1726	#124	—	67	2	no	—
1727	#124	—	67	4	no	—
1728	#124	—	67	4	no	—
1729	#124	—	67	4	no	—
1730	#124	—	67	4	no	—
1731	#124	—	67	4	no	—
1732	#124	—	67	4	no	—
1733	#124	—	67	4	no	—
1734	#124	—	67	4	no	—
1735	#124	—	67	4	no	—
1736	#124	—	67	2	no	—
1737	#124	C₂²×D₆₇	1	4	yes	complemented
1738	#123	—	67	4	no	—
1739	#123	—	67	4	no	—
1740	#123	—	67	4	no	—
1741	#123	—	67	4	no	—
1742	#123	—	67	4	no	—
1743	#123	—	67	4	no	—
1744	#123	—	67	4	no	—
1745	#123	—	67	4	no	—
1746	#123	—	67	4	no	—
1747	#123	—	67	4	no	—
1748	#123	—	67	4	no	—
1749	#123	—	67	4	no	—
1750	#123	—	67	4	no	—
1751	#123	—	67	4	no	—
1752	#123	—	67	4	no	—
1753	#123	—	67	4	no	—
1754	#123	—	67	2	no	—
1755	#123	—	67	2	no	—
1756	#123	—	67	2	no	—
1757	#123	—	67	2	no	—
1758	#123	—	67	4	no	—
1759	#123	—	67	4	no	—
1760	#123	—	67	4	no	—
1761	#123	—	67	4	no	—
1762	#123	—	67	2	no	—
1763	#123	—	67	4	no	—
1764	#123	—	67	2	no	—
1765	#123	—	67	4	no	—
1766	#123	—	67	2	no	—
1767	#123	—	67	4	no	—
1768	#123	—	67	2	no	—
1769	#123	—	67	4	no	—
1770	#123	—	67	4	no	—
1771	#123	—	67	4	no	—
1772	#123	—	67	4	no	—
1773	#123	—	67	4	no	—
1774	#123	—	67	4	no	—
1775	#123	—	67	4	no	—
1776	#123	—	67	4	no	—
1777	#123	—	67	4	no	—
1778	#123	C₂²×D₆₇	1	4	yes	—
1779	#123	C₂²×D₆₇	1	4	yes	complemented
1780	#123	C₂²×D₆₇	1	4	yes	complemented
1781	#123	C₂²×D₆₇	1	4	yes	complemented
1782	C₂²⋊Q₈	—	67	4	no	—
1783	C₂²⋊Q₈	—	67	4	no	—
1784	C₂²⋊Q₈	—	67	4	no	—
1785	C₂²⋊Q₈	—	67	4	no	—
1786	C₂²⋊Q₈	—	67	2	no	—
1787	C₂²⋊Q₈	—	67	2	no	—
1788	C₂²⋊Q₈	—	67	2	no	—
1789	C₂²⋊Q₈	—	67	2	no	—
1790	C₂²⋊Q₈	—	67	2	no	—
1791	C₂²⋊Q₈	—	67	4	no	—
1792	C₂²⋊Q₈	—	67	4	no	—
1793	C₂²⋊Q₈	—	67	2	no	—
1794	C₂²⋊Q₈	—	67	2	no	—
1795	C₂²⋊Q₈	—	67	2	no	—
1796	C₂²⋊Q₈	—	67	2	no	—
1797	C₂²⋊Q₈	—	67	2	no	—
1798	C₂²⋊Q₈	—	67	2	no	—
1799	C₂²⋊Q₈	—	67	2	no	—
1800	C₂²⋊Q₈	—	67	2	no	—
1801	C₂²⋊Q₈	—	67	2	no	—
1802	C₂²⋊Q₈	—	67	4	no	—
1803	C₂²⋊Q₈	—	67	4	no	—
1804	C₂²⋊Q₈	—	67	4	no	—
1805	C₂²⋊Q₈	—	67	4	no	—
1806	C₂²⋊Q₈	—	67	4	no	—
1807	C₂²⋊Q₈	—	67	2	no	—
1808	C₂²⋊Q₈	—	67	2	no	—
1809	C₂²⋊Q₈	—	67	2	no	—
1810	C₂²⋊Q₈	—	67	2	no	—
1811	C₂²⋊Q₈	—	67	4	no	—
1812	C₂²⋊Q₈	—	67	4	no	—
1813	C₂²⋊Q₈	—	67	4	no	—
1814	C₂²⋊Q₈	—	67	4	no	—
1815	C₂²⋊Q₈	C₂²×D₆₇	1	4	yes	complemented
1816	C₂²⋊Q₈	C₂²×D₆₇	1	4	yes	complemented
1817	#121	—	67	4	no	—
1818	#121	—	67	2	no	—
1819	#121	—	67	4	no	—
1820	#121	—	67	2	no	—
1821	#121	—	67	2	no	—
1822	#121	—	67	4	no	—
1823	#121	—	67	4	no	—
1824	#121	—	67	2	no	—
1825	#121	—	67	2	no	—
1826	#121	—	67	2	no	—
1827	#121	—	67	2	no	—
1828	#121	—	67	2	no	—
1829	#121	—	67	2	no	—
1830	#121	—	67	2	no	—
1831	#121	—	67	2	no	—
1832	#121	—	67	2	no	—
1833	#121	—	67	4	no	—
1834	#121	—	67	4	no	—
1835	#121	—	67	4	no	—
1836	#121	—	67	4	no	—
1837	#121	—	67	2	no	—
1838	#121	—	67	4	no	—
1839	#121	—	67	4	no	—
1840	#121	—	67	4	no	—
1841	#121	—	67	4	no	—
1842	#121	—	67	2	no	—
1843	#121	—	67	4	no	—
1844	#121	—	67	4	no	—
1845	#121	—	67	4	no	—
1846	#121	—	67	4	no	—
1847	#121	—	67	4	no	—
1848	#121	—	67	4	no	—
1849	#121	—	67	4	no	—
1850	#121	—	67	4	no	—
1851	#121	—	67	4	no	—
1852	#121	—	67	4	no	—
1853	#121	—	67	4	no	—
1854	#121	—	67	4	no	—
1855	#121	—	67	4	no	—
1856	#121	—	67	4	no	—
1857	#121	—	67	4	no	—
1858	#121	—	67	4	no	—
1859	#121	—	67	4	no	—
1860	#121	—	67	2	no	—
1861	#121	—	67	2	no	—
1862	#121	—	67	2	no	—
1863	#121	—	67	2	no	—
1864	#121	—	67	2	no	—
1865	#121	—	67	4	no	—
1866	#121	—	67	4	no	—
1867	#121	—	67	4	no	—
1868	#121	—	67	4	no	—
1869	#121	—	67	4	no	—
1870	#121	—	67	4	no	—
1871	#121	—	67	2	no	—
1872	#121	—	67	2	no	—
1873	#121	—	67	2	no	—
1874	#121	—	67	2	no	—
1875	#121	—	67	2	no	—
1876	#121	—	67	4	no	—
1877	#121	—	67	4	no	—
1878	#121	—	67	4	no	—
1879	#121	—	67	4	no	—
1880	#121	—	67	4	no	—
1881	#121	—	67	4	no	—
1882	#121	—	67	2	no	—
1883	#121	—	67	2	no	—
1884	#121	—	67	2	no	—
1885	#121	—	67	2	no	—
1886	#121	—	67	4	no	—
1887	#121	—	67	4	no	—
1888	#121	—	67	4	no	—
1889	#121	—	67	4	no	—
1890	#121	—	67	4	no	—
1891	#121	—	67	4	no	—
1892	#121	—	67	4	no	—
1893	#121	—	67	4	no	—
1894	#121	—	67	4	no	—
1895	#121	C₂²×D₆₇	1	2	yes	—
1896	#121	C₂²×D₆₇	1	2	yes	—
1897	#121	C₂²×D₆₇	1	2	yes	—
1898	#121	C₂²×D₆₇	1	2	yes	—
1899	#121	C₂²×D₆₇	1	2	yes	—
1900	#121	C₂²×D₆₇	1	2	yes	—
1901	#121	C₂²×D₆₇	1	2	yes	complemented
1902	#121	C₂²×D₆₇	1	2	yes	complemented
1903	#121	C₂²×D₆₇	1	4	yes	complemented
1904	#121	C₂²×D₆₇	1	2	yes	complemented
1905	#121	C₂²×D₆₇	1	2	yes	complemented
1906	#121	C₂²×D₆₇	1	4	yes	complemented
1907	#121	C₂²×D₆₇	1	4	yes	complemented
1908	#121	C₂²×D₆₇	1	4	yes	complemented
1909	#121	C₂²×D₆₇	1	4	yes	complemented
1910	#120	—	67	4	no	—
1911	#120	—	67	4	no	—
1912	#120	—	67	4	no	—
1913	#120	—	67	4	no	—
1914	#120	—	67	4	no	—
1915	#120	—	67	4	no	—
1916	#120	—	67	4	no	—
1917	#120	—	67	4	no	—
1918	#120	—	67	2	no	—
1919	#120	—	67	4	no	—
1920	#120	—	67	2	no	—
1921	#120	—	67	4	no	—
1922	#120	—	67	2	no	—
1923	#120	—	67	4	no	—
1924	#120	—	67	2	no	—
1925	#120	—	67	4	no	—
1926	#120	—	67	4	no	—
1927	#120	—	67	4	no	—
1928	#120	—	67	4	no	—
1929	#120	—	67	4	no	—
1930	#120	—	67	4	no	—
1931	#120	—	67	4	no	—
1932	#120	—	67	4	no	—
1933	#120	—	67	4	no	—
1934	#120	—	67	4	no	—
1935	#120	—	67	4	no	—
1936	#120	—	67	4	no	—
1937	#120	—	67	2	no	—
1938	#120	—	67	2	no	—
1939	#120	—	67	2	no	—
1940	#120	—	67	2	no	—
1941	#120	—	67	4	no	—
1942	#120	—	67	4	no	—
1943	#120	—	67	4	no	—
1944	#120	—	67	4	no	—
1945	#120	—	67	4	no	—
1946	#120	C₂²×D₆₇	1	4	yes	—
1947	#120	C₂²×D₆₇	1	4	yes	complemented
1948	#120	C₂²×D₆₇	1	4	yes	complemented
1949	#120	C₂²×D₆₇	1	4	yes	complemented
1950	C₄×Q₈	—	67	4	no	—
1951	C₄×Q₈	—	67	2	no	—
1952	C₄×Q₈	—	67	2	no	—
1953	C₄×D₄	—	67	4	no	—
1954	C₄×D₄	—	67	4	no	—
1955	C₄×D₄	—	67	4	no	—
1956	C₄×D₄	—	67	4	no	—
1957	C₄×D₄	—	67	4	no	—
1958	C₄×D₄	—	67	4	no	—
1959	C₄×D₄	—	67	4	no	—
1960	C₄×D₄	—	67	4	no	—
1961	C₄×D₄	—	67	4	no	—
1962	C₄×D₄	—	67	2	no	—
1963	C₄×D₄	—	67	2	no	—
1964	C₄×D₄	—	67	2	no	—
1965	C₄×D₄	—	67	2	no	—
1966	C₄×D₄	—	67	2	no	—
1967	C₄×D₄	—	67	2	no	—
1968	C₄×D₄	—	67	2	no	—
1969	C₄×D₄	—	67	2	no	—
1970	C₄×D₄	—	67	2	no	—
1971	C₄×D₄	—	67	2	no	—
1972	C₄×D₄	—	67	4	no	—
1973	C₄×D₄	—	67	4	no	—
1974	C₄×D₄	—	67	4	no	—
1975	C₄×D₄	—	67	4	no	—
1976	C₄×D₄	—	67	4	no	—
1977	C₄×D₄	—	67	4	no	—
1978	C₄×D₄	—	67	4	no	—
1979	C₄×D₄	—	67	4	no	—
1980	C₄×D₄	—	67	4	no	—
1981	C₄×D₄	—	67	4	no	—
1982	C₄×D₄	—	67	4	no	—
1983	C₄×D₄	—	67	4	no	—
1984	C₄×D₄	—	67	2	no	—
1985	C₄×D₄	—	67	4	no	—
1986	C₄×D₄	—	67	4	no	—
1987	C₄×D₄	—	67	4	no	—
1988	C₄×D₄	—	67	4	no	—
1989	C₄×D₄	—	67	4	no	—
1990	C₄×D₄	—	67	4	no	—
1991	C₄×D₄	—	67	4	no	—
1992	C₄×D₄	—	67	4	no	—
1993	C₄×D₄	—	67	4	no	—
1994	C₄×D₄	—	67	4	no	—
1995	C₄×D₄	—	67	4	no	—
1996	C₄×D₄	—	67	4	no	—
1997	C₄×D₄	—	67	4	no	—
1998	C₄×D₄	—	67	2	no	—
1999	C₄×D₄	—	67	2	no	—
2000	C₄×D₄	—	67	2	no	—
2001	C₄×D₄	—	67	2	no	—
2002	C₄×D₄	—	67	2	no	—
2003	C₄×D₄	C₂²×D₆₇	1	2	yes	—
2004	C₄×D₄	C₂²×D₆₇	1	2	yes	—
2005	C₄×D₄	C₂²×D₆₇	1	2	yes	complemented
2006	C₄×D₄	C₂²×D₆₇	1	2	yes	complemented
2007	C₄×D₄	C₂²×D₆₇	1	4	yes	complemented
2008	C₄×D₄	C₂²×D₆₇	1	2	yes	complemented
2009	C₄×D₄	C₂²×D₆₇	1	2	yes	complemented
2010	#117	—	67	4	no	—
2011	#117	—	67	2	no	—
2012	#117	—	67	2	no	—
2013	#117	—	67	2	no	—
2014	#117	—	67	2	no	—
2015	#117	—	67	2	no	—
2016	#117	—	67	4	no	—
2017	#117	—	67	2	no	—
2018	#117	—	67	4	no	—
2019	#117	—	67	4	no	—
2020	#117	—	67	4	no	—
2021	#117	—	67	4	no	—
2022	#117	—	67	2	no	—
2023	#117	—	67	2	no	—
2024	#117	—	67	2	no	—
2025	#117	—	67	2	no	—
2026	#117	—	67	4	no	—
2027	C₂×C₄⋊C₄	—	67	2	no	—
2028	C₂×C₄⋊C₄	—	67	1	no	—
2029	C₂×C₄⋊C₄	—	67	1	no	—
2030	C₂×C₄⋊C₄	—	67	1	no	—
2031	C₂×C₄⋊C₄	—	67	1	no	—
2032	C₂×C₄⋊C₄	—	67	1	no	—
2033	C₂×C₄⋊C₄	—	67	2	no	—
2034	C₂×C₄⋊C₄	—	67	1	no	—
2035	C₂×C₄⋊C₄	—	67	2	no	—
2036	C₂×C₄⋊C₄	—	67	1	no	—
2037	C₂×C₄⋊C₄	—	67	4	no	—
2038	C₂×C₄⋊C₄	—	67	2	no	—
2039	C₂×C₄⋊C₄	—	67	2	no	—
2040	C₂×C₄⋊C₄	—	67	2	no	—
2041	C₂×C₄⋊C₄	—	67	2	no	—
2042	C₂×C₄⋊C₄	—	67	2	no	—
2043	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
2044	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic, complemented
2045	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic, complemented
2046	C₂×C₄⋊C₄	C₂²×D₆₇	1	2	yes	complemented
2047	C₂×C₂²⋊C₄	—	67	2	no	—
2048	C₂×C₂²⋊C₄	—	67	2	no	—
2049	C₂×C₂²⋊C₄	—	67	1	no	—
2050	C₂×C₂²⋊C₄	—	67	2	no	—
2051	C₂×C₂²⋊C₄	—	67	1	no	—
2052	C₂×C₂²⋊C₄	—	67	4	no	—
2053	C₂×C₂²⋊C₄	—	67	4	no	—
2054	C₂×C₂²⋊C₄	—	67	2	no	—
2055	C₂×C₂²⋊C₄	—	67	2	no	—
2056	C₂×C₂²⋊C₄	—	67	2	no	—
2057	C₂×C₂²⋊C₄	—	67	1	no	—
2058	C₂×C₂²⋊C₄	—	67	1	no	—
2059	C₂×C₂²⋊C₄	—	67	2	no	—
2060	C₂×C₂²⋊C₄	—	67	1	no	—
2061	C₂×C₂²⋊C₄	—	67	1	no	—
2062	C₂×C₂²⋊C₄	—	67	1	no	—
2063	C₂×C₂²⋊C₄	—	67	1	no	—
2064	C₂×C₂²⋊C₄	—	67	4	no	—
2065	C₂×C₂²⋊C₄	—	67	4	no	—
2066	C₂×C₂²⋊C₄	—	67	4	no	—
2067	C₂×C₂²⋊C₄	—	67	4	no	—
2068	C₂×C₂²⋊C₄	—	67	4	no	—
2069	C₂×C₂²⋊C₄	—	67	4	no	—
2070	C₂×C₂²⋊C₄	—	67	4	no	—
2071	C₂×C₂²⋊C₄	—	67	4	no	—
2072	C₂×C₂²⋊C₄	—	67	4	no	—
2073	C₂×C₂²⋊C₄	—	67	4	no	—
2074	C₂×C₂²⋊C₄	—	67	4	no	—
2075	C₂×C₂²⋊C₄	C₂²×D₆₇	1	2	yes	—
2076	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
2077	C₂×C₂²⋊C₄	C₂²×D₆₇	1	2	yes	complemented
2078	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic, complemented
2079	C₂×C₂²⋊C₄	C₂²×D₆₇	1	4	yes	complemented
2080	C₂×C₄²	—	67	2	no	—
2081	C₂×C₄²	—	67	1	no	—
2082	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic, complemented
2083	C₂⁴	—	268	4	no	—
2084	C₂⁴	—	268	2	no	—
2085	C₂⁴	—	268	2	no	—
2086	C₂⁴	—	268	4	no	—
2087	C₂⁴	—	268	4	no	—
2088	C₂⁴	—	67	4	no	—
2089	C₂⁴	—	67	4	no	—
2090	C₂⁴	—	67	4	no	—
2091	C₂⁴	—	67	2	no	—
2092	C₂⁴	—	67	1	no	—
2093	C₂⁴	—	67	1	no	—
2094	C₂⁴	—	67	1	no	—
2095	C₂⁴	—	67	1	no	—
2096	C₂⁴	—	67	1	no	—
2097	C₂⁴	—	67	1	no	—
2098	C₂⁴	—	67	1	no	—
2099	C₂⁴	—	134	4	no	—
2100	C₂⁴	C₂³×D₆₇	1	2	yes	—
2101	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
2102	C₂⁴	C₂³×D₆₇	1	2	yes	—
2103	C₂⁴	C₂³×D₆₇	1	4	yes	—
2104	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
2105	#41	—	4	8	no	—
2106	#41	—	4	8	no	—
2107	#41	—	4	8	no	—
2108	#41	—	268	4	no	—
2109	#41	—	268	8	no	—
2110	#41	—	268	4	no	—
2111	#41	—	268	4	no	—
2112	#41	—	268	4	no	—
2113	#41	—	268	4	no	—
2114	#41	—	268	4	no	—
2115	#41	—	268	8	no	—
2116	#41	—	268	8	no	—
2117	#41	—	268	8	no	—
2118	#41	—	268	4	no	—
2119	#41	—	268	4	no	—
2120	#41	—	134	8	no	—
2121	#41	—	134	8	no	—
2122	C₂×Q₈	—	268	2	no	—
2123	C₂×Q₈	—	268	2	no	—
2124	C₂×Q₈	—	67	2	no	—
2125	C₂×Q₈	—	67	2	no	—
2126	C₂×Q₈	—	67	4	no	—
2127	C₂×Q₈	—	67	2	no	—
2128	C₂×Q₈	—	67	2	no	—
2129	C₂×Q₈	C₂³×D₆₇	1	4	yes	—
2130	C₂×D₄	—	2	8	no	—
2131	C₂×D₄	—	2	4	no	—
2132	C₂×D₄	—	2	8	no	—
2133	C₂×D₄	—	4	2	no	—
2134	C₂×D₄	—	4	2	no	—
2135	C₂×D₄	—	4	4	no	—
2136	C₂×D₄	—	4	8	no	—
2137	C₂×D₄	—	4	8	no	—
2138	C₂×D₄	—	4	8	no	—
2139	C₂×D₄	—	268	4	no	—
2140	C₂×D₄	—	268	2	no	—
2141	C₂×D₄	—	268	2	no	—
2142	C₂×D₄	—	268	2	no	—
2143	C₂×D₄	—	268	8	no	—
2144	C₂×D₄	—	268	8	no	—
2145	C₂×D₄	—	268	8	no	—
2146	C₂×D₄	—	268	8	no	—
2147	C₂×D₄	—	268	8	no	—
2148	C₂×D₄	—	268	8	no	—
2149	C₂×D₄	—	268	8	no	—
2150	C₂×D₄	—	268	8	no	—
2151	C₂×D₄	—	268	8	no	—
2152	C₂×D₄	—	268	2	no	—
2153	C₂×D₄	—	268	4	no	—
2154	C₂×D₄	—	268	8	no	—
2155	C₂×D₄	—	268	2	no	—
2156	C₂×D₄	—	268	4	no	—
2157	C₂×D₄	—	268	8	no	—
2158	C₂×D₄	—	268	4	no	—
2159	C₂×D₄	—	268	4	no	—
2160	C₂×D₄	—	268	4	no	—
2161	C₂×D₄	—	268	4	no	—
2162	C₂×D₄	—	268	4	no	—
2163	C₂×D₄	—	268	4	no	—
2164	C₂×D₄	—	268	2	no	—
2165	C₂×D₄	—	268	8	no	—
2166	C₂×D₄	—	67	4	no	—
2167	C₂×D₄	—	67	4	no	—
2168	C₂×D₄	—	67	4	no	—
2169	C₂×D₄	—	67	2	no	—
2170	C₂×D₄	—	67	4	no	—
2171	C₂×D₄	—	67	2	no	—
2172	C₂×D₄	—	67	2	no	—
2173	C₂×D₄	—	67	4	no	—
2174	C₂×D₄	—	67	4	no	—
2175	C₂×D₄	—	67	4	no	—
2176	C₂×D₄	—	67	4	no	—
2177	C₂×D₄	—	67	4	no	—
2178	C₂×D₄	—	67	4	no	—
2179	C₂×D₄	—	67	4	no	—
2180	C₂×D₄	—	67	4	no	—
2181	C₂×D₄	—	67	4	no	—
2182	C₂×D₄	—	67	2	no	—
2183	C₂×D₄	—	67	4	no	—
2184	C₂×D₄	—	67	2	no	—
2185	C₂×D₄	—	67	4	no	—
2186	C₂×D₄	—	67	2	no	—
2187	C₂×D₄	—	67	2	no	—
2188	C₂×D₄	—	67	4	no	—
2189	C₂×D₄	—	67	4	no	—
2190	C₂×D₄	—	67	4	no	—
2191	C₂×D₄	—	67	2	no	—
2192	C₂×D₄	—	67	2	no	—
2193	C₂×D₄	—	67	2	no	—
2194	C₂×D₄	—	67	4	no	—
2195	C₂×D₄	—	67	2	no	—
2196	C₂×D₄	—	67	4	no	—
2197	C₂×D₄	—	67	4	no	—
2198	C₂×D₄	—	67	2	no	—
2199	C₂×D₄	—	67	2	no	—
2200	C₂×D₄	—	67	2	no	—
2201	C₂×D₄	—	134	8	no	—
2202	C₂×D₄	—	134	8	no	—
2203	C₂×D₄	—	134	4	no	—
2204	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2205	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2206	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2207	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2208	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2209	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2210	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2211	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2212	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2213	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2214	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2215	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2216	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2217	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2218	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2219	C₂²×C₄	—	4	2	no	—
2220	C₂²×C₄	—	4	2	no	—
2221	C₂²×C₄	—	268	4	no	—
2222	C₂²×C₄	—	268	2	no	—
2223	C₂²×C₄	—	268	2	no	—
2224	C₂²×C₄	—	268	2	no	—
2225	C₂²×C₄	—	268	2	no	—
2226	C₂²×C₄	—	268	2	no	—
2227	C₂²×C₄	—	268	2	no	—
2228	C₂²×C₄	—	268	2	no	—
2229	C₂²×C₄	—	268	2	no	—
2230	C₂²×C₄	—	268	2	no	—
2231	C₂²×C₄	—	268	2	no	—
2232	C₂²×C₄	—	268	2	no	—
2233	C₂²×C₄	—	268	4	no	—
2234	C₂²×C₄	—	67	1	no	—
2235	C₂²×C₄	—	67	2	no	—
2236	C₂²×C₄	—	67	1	no	—
2237	C₂²×C₄	—	67	1	no	—
2238	C₂²×C₄	—	67	1	no	—
2239	C₂²×C₄	—	67	2	no	—
2240	C₂²×C₄	—	67	1	no	—
2241	C₂²×C₄	—	67	4	no	—
2242	C₂²×C₄	—	67	4	no	—
2243	C₂²×C₄	—	67	4	no	—
2244	C₂²×C₄	—	67	4	no	—
2245	C₂²×C₄	—	67	1	no	—
2246	C₂²×C₄	—	67	1	no	—
2247	C₂²×C₄	—	67	4	no	—
2248	C₂²×C₄	—	67	4	no	—
2249	C₂²×C₄	—	67	4	no	—
2250	C₂²×C₄	—	67	2	no	—
2251	C₂²×C₄	—	67	4	no	—
2252	C₂²×C₄	—	67	4	no	—
2253	C₂²×C₄	—	67	4	no	—
2254	C₂²×C₄	—	67	1	no	—
2255	C₂²×C₄	—	67	1	no	—
2256	C₂²×C₄	—	67	1	no	—
2257	C₂²×C₄	—	67	1	no	—
2258	C₂²×C₄	—	67	1	no	—
2259	C₂²×C₄	—	67	1	no	—
2260	C₂²×C₄	—	67	1	no	—
2261	C₂²×C₄	—	67	2	no	—
2262	C₂²×C₄	—	67	1	no	—
2263	C₂²×C₄	—	67	1	no	—
2264	C₂²×C₄	—	67	4	no	—
2265	C₂²×C₄	—	67	1	no	—
2266	C₂²×C₄	—	67	1	no	—
2267	C₂²×C₄	—	67	1	no	—
2268	C₂²×C₄	—	67	1	no	—
2269	C₂²×C₄	—	67	1	no	—
2270	C₂²×C₄	—	67	2	no	—
2271	C₂²×C₄	—	67	1	no	—
2272	C₂²×C₄	—	67	1	no	—
2273	C₂²×C₄	—	67	1	no	—
2274	C₂²×C₄	—	67	1	no	—
2275	C₂²×C₄	—	134	4	no	—
2276	C₂²×C₄	—	134	4	no	—
2277	C₂²×C₄	—	134	4	no	—
2278	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2279	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2280	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2281	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2282	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2283	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2284	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2285	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2286	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2287	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
2288	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2289	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2290	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
2291	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2292	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2293	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
2294	C₄⋊C₄	—	67	4	no	—
2295	C₄⋊C₄	—	67	2	no	—
2296	C₄⋊C₄	—	67	2	no	—
2297	C₄⋊C₄	—	67	4	no	—
2298	C₄⋊C₄	—	67	2	no	—
2299	C₄⋊C₄	—	67	2	no	—
2300	C₄⋊C₄	—	67	2	no	—
2301	C₄⋊C₄	—	67	2	no	—
2302	C₄⋊C₄	—	67	4	no	—
2303	C₄⋊C₄	—	67	2	no	—
2304	C₄⋊C₄	—	67	2	no	—
2305	C₄⋊C₄	—	67	2	no	—
2306	C₄⋊C₄	—	67	2	no	—
2307	C₄⋊C₄	—	67	2	no	—
2308	C₄⋊C₄	—	67	4	no	—
2309	C₄⋊C₄	—	67	2	no	—
2310	C₄⋊C₄	—	67	4	no	—
2311	C₄⋊C₄	—	67	4	no	—
2312	C₄⋊C₄	—	67	2	no	—
2313	C₄⋊C₄	—	67	2	no	—
2314	C₄⋊C₄	—	67	4	no	—
2315	C₄⋊C₄	—	67	4	no	—
2316	C₄⋊C₄	—	67	4	no	—
2317	C₄⋊C₄	—	67	4	no	—
2318	C₄⋊C₄	—	67	4	no	—
2319	C₄⋊C₄	—	67	4	no	—
2320	C₄⋊C₄	—	67	4	no	—
2321	C₄⋊C₄	—	67	4	no	—
2322	C₄⋊C₄	—	67	4	no	—
2323	C₄⋊C₄	—	67	4	no	—
2324	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2325	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2326	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2327	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2328	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2329	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2330	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2331	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2332	C₂²⋊C₄	—	67	4	no	—
2333	C₂²⋊C₄	—	67	2	no	—
2334	C₂²⋊C₄	—	67	4	no	—
2335	C₂²⋊C₄	—	67	2	no	—
2336	C₂²⋊C₄	—	67	4	no	—
2337	C₂²⋊C₄	—	67	4	no	—
2338	C₂²⋊C₄	—	67	4	no	—
2339	C₂²⋊C₄	—	67	2	no	—
2340	C₂²⋊C₄	—	67	4	no	—
2341	C₂²⋊C₄	—	67	4	no	—
2342	C₂²⋊C₄	—	67	4	no	—
2343	C₂²⋊C₄	—	67	4	no	—
2344	C₂²⋊C₄	—	67	4	no	—
2345	C₂²⋊C₄	—	67	2	no	—
2346	C₂²⋊C₄	—	67	4	no	—
2347	C₂²⋊C₄	—	67	4	no	—
2348	C₂²⋊C₄	—	67	4	no	—
2349	C₂²⋊C₄	—	67	4	no	—
2350	C₂²⋊C₄	—	67	4	no	—
2351	C₂²⋊C₄	—	67	4	no	—
2352	C₂²⋊C₄	—	67	4	no	—
2353	C₂²⋊C₄	—	67	2	no	—
2354	C₂²⋊C₄	—	67	2	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	4	no	—
2360	C₂²⋊C₄	—	67	4	no	—
2361	C₂²⋊C₄	—	67	4	no	—
2362	C₂²⋊C₄	—	67	4	no	—
2363	C₂²⋊C₄	—	67	4	no	—
2364	C₂²⋊C₄	—	67	2	no	—
2365	C₂²⋊C₄	—	67	2	no	—
2366	C₂²⋊C₄	—	67	4	no	—
2367	C₂²⋊C₄	—	67	4	no	—
2368	C₂²⋊C₄	—	67	4	no	—
2369	C₂²⋊C₄	—	67	4	no	—
2370	C₂²⋊C₄	—	67	4	no	—
2371	C₂²⋊C₄	—	67	2	no	—
2372	C₂²⋊C₄	—	67	4	no	—
2373	C₂²⋊C₄	—	67	2	no	—
2374	C₂²⋊C₄	—	67	2	no	—
2375	C₂²⋊C₄	—	67	2	no	—
2376	C₂²⋊C₄	—	67	2	no	—
2377	C₂²⋊C₄	—	67	4	no	—
2378	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2379	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2380	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2381	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2382	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2383	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2384	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2385	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2386	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2387	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2388	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2389	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2390	C₄²	—	67	4	no	—
2391	C₄²	—	67	2	no	—
2392	C₄²	—	67	4	no	—
2393	C₄²	—	67	2	no	—
2394	C₄²	—	67	4	no	—
2395	C₄²	—	67	4	no	—
2396	C₄²	—	67	4	no	—
2397	C₄²	—	67	4	no	—
2398	C₄²	C₂³×D₆₇	1	2	yes	—
2399	C₄²	C₂³×D₆₇	1	2	yes	—
2400	C₂³	—	2	2	no	—
2401	C₂³	—	2	4	no	—
2402	C₂³	—	2	4	no	—
2403	C₂³	—	4	1	no	—
2404	C₂³	—	4	1	no	—
2405	C₂³	—	4	1	no	—
2406	C₂³	—	4	2	no	—
2407	C₂³	—	4	2	no	—
2408	C₂³	—	4	1	no	—
2409	C₂³	—	4	2	no	—
2410	C₂³	—	4	2	no	—
2411	C₂³	—	4	4	no	—
2412	C₂³	—	4	4	no	—
2413	C₂³	—	4	4	no	—
2414	C₂³	—	268	1	no	—
2415	C₂³	—	268	1	no	—
2416	C₂³	—	268	1	no	—
2417	C₂³	—	268	1	no	—
2418	C₂³	—	268	1	no	—
2419	C₂³	—	268	1	no	—
2420	C₂³	—	268	1	no	—
2421	C₂³	—	268	2	no	—
2422	C₂³	—	268	4	no	—
2423	C₂³	—	268	4	no	—
2424	C₂³	—	268	4	no	—
2425	C₂³	—	268	1	no	—
2426	C₂³	—	268	2	no	—
2427	C₂³	—	268	4	no	—
2428	C₂³	—	268	4	no	—
2429	C₂³	—	268	4	no	—
2430	C₂³	—	268	4	no	—
2431	C₂³	—	268	16	no	—
2432	C₂³	—	536	16	no	—
2433	C₂³	—	67	1	no	—
2434	C₂³	—	67	1	no	—
2435	C₂³	—	67	4	no	—
2436	C₂³	—	67	1	no	—
2437	C₂³	—	67	1	no	—
2438	C₂³	—	67	2	no	—
2439	C₂³	—	134	2	no	—
2440	C₂³	—	134	2	no	—
2441	C₂³	—	134	2	no	—
2442	C₂³	—	134	2	no	—
2443	C₂³	—	134	8	no	—
2444	C₂³	—	134	8	no	—
2445	C₂³	—	134	2	no	—
2446	C₂³	—	134	2	no	—
2447	C₂³	—	134	2	no	—
2448	C₂³	—	134	2	no	—
2449	C₂³	—	134	2	no	—
2450	C₂³	—	134	2	no	—
2451	C₂³	—	134	2	no	—
2452	C₂³	—	134	2	no	—
2453	C₂³	—	134	4	no	—
2454	C₂³	—	134	2	no	—
2455	C₂³	#14524088	1	4	yes	complemented
2456	C₂³	C₂⁴×D₆₇	1	4	yes	—
2457	C₂³	C₂⁴×D₆₇	1	2	yes	—
2458	C₂³	C₂⁴×D₆₇	1	4	yes	—
2459	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
2460	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
2461	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
2462	Q₈	—	4	4	no	—
2463	Q₈	—	268	2	no	—
2464	Q₈	—	268	2	no	—
2465	Q₈	—	268	4	no	—
2466	Q₈	—	134	4	no	—
2467	Q₈	—	134	4	no	—
2468	D₄	—	2	4	no	—
2469	D₄	—	2	4	no	—
2470	D₄	—	2	8	no	—
2471	D₄	—	2	8	no	—
2472	D₄	—	2	8	no	—
2473	D₄	—	2	8	no	—
2474	D₄	—	2	4	no	—
2475	D₄	—	2	4	no	—
2476	D₄	—	4	4	no	—
2477	D₄	—	4	4	no	—
2478	D₄	—	4	4	no	—
2479	D₄	—	4	2	no	—
2480	D₄	—	4	4	no	—
2481	D₄	—	4	2	no	—
2482	D₄	—	4	4	no	—
2483	D₄	—	268	2	no	—
2484	D₄	—	268	4	no	—
2485	D₄	—	268	4	no	—
2486	D₄	—	268	4	no	—
2487	D₄	—	268	2	no	—
2488	D₄	—	268	2	no	—
2489	D₄	—	268	4	no	—
2490	D₄	—	268	4	no	—
2491	D₄	—	268	4	no	—
2492	D₄	—	268	4	no	—
2493	D₄	—	268	4	no	—
2494	D₄	—	268	4	no	—
2495	D₄	—	268	4	no	—
2496	D₄	—	268	4	no	—
2497	D₄	—	268	2	no	—
2498	D₄	—	268	2	no	—
2499	D₄	—	268	4	no	—
2500	D₄	—	268	4	no	—
2501	D₄	—	268	4	no	—
2502	D₄	—	268	4	no	—
2503	D₄	—	268	4	no	—
2504	D₄	—	268	2	no	—
2505	D₄	—	134	4	no	—
2506	D₄	—	134	4	no	—
2507	D₄	—	134	8	no	—
2508	D₄	—	134	4	no	—
2509	D₄	—	134	4	no	—
2510	D₄	—	134	8	no	—
2511	D₄	—	134	8	no	—
2512	D₄	—	134	4	no	—
2513	D₄	—	134	8	no	—
2514	D₄	—	134	8	no	—
2515	D₄	—	134	4	no	—
2516	D₄	—	134	4	no	—
2517	D₄	—	134	4	no	—
2518	C₂×C₄	—	2	4	no	—
2519	C₂×C₄	—	2	2	no	—
2520	C₂×C₄	—	2	4	no	—
2521	C₂×C₄	—	2	2	no	—
2522	C₂×C₄	—	2	2	no	—
2523	C₂×C₄	—	2	2	no	—
2524	C₂×C₄	—	2	4	no	—
2525	C₂×C₄	—	4	1	no	—
2526	C₂×C₄	—	4	1	no	—
2527	C₂×C₄	—	4	1	no	—
2528	C₂×C₄	—	4	1	no	—
2529	C₂×C₄	—	4	2	no	—
2530	C₂×C₄	—	4	4	no	—
2531	C₂×C₄	—	4	4	no	—
2532	C₂×C₄	—	4	4	no	—
2533	C₂×C₄	—	4	1	no	—
2534	C₂×C₄	—	268	1	no	—
2535	C₂×C₄	—	268	1	no	—
2536	C₂×C₄	—	268	1	no	—
2537	C₂×C₄	—	268	1	no	—
2538	C₂×C₄	—	268	1	no	—
2539	C₂×C₄	—	268	1	no	—
2540	C₂×C₄	—	268	4	no	—
2541	C₂×C₄	—	268	4	no	—
2542	C₂×C₄	—	268	2	no	—
2543	C₂×C₄	—	268	4	no	—
2544	C₂×C₄	—	268	4	no	—
2545	C₂×C₄	—	268	4	no	—
2546	C₂×C₄	—	268	4	no	—
2547	C₂×C₄	—	268	1	no	—
2548	C₂×C₄	—	268	1	no	—
2549	C₂×C₄	—	268	1	no	—
2550	C₂×C₄	—	268	1	no	—
2551	C₂×C₄	—	268	2	no	—
2552	C₂×C₄	—	268	4	no	—
2553	C₂×C₄	—	268	4	no	—
2554	C₂×C₄	—	268	4	no	—
2555	C₂×C₄	—	268	1	no	—
2556	C₂×C₄	—	268	2	no	—
2557	C₂×C₄	—	268	4	no	—
2558	C₂×C₄	—	67	1	no	—
2559	C₂×C₄	—	67	4	no	—
2560	C₂×C₄	—	67	4	no	—
2561	C₂×C₄	—	67	2	no	—
2562	C₂×C₄	—	67	1	no	—
2563	C₂×C₄	—	67	4	no	—
2564	C₂×C₄	—	67	2	no	—
2565	C₂×C₄	—	67	2	no	—
2566	C₂×C₄	—	67	4	no	—
2567	C₂×C₄	—	67	1	no	—
2568	C₂×C₄	—	67	1	no	—
2569	C₂×C₄	—	134	2	no	—
2570	C₂×C₄	—	134	2	no	—
2571	C₂×C₄	—	134	2	no	—
2572	C₂×C₄	—	134	2	no	—
2573	C₂×C₄	—	134	2	no	—
2574	C₂×C₄	—	134	2	no	—
2575	C₂×C₄	—	134	2	no	—
2576	C₂×C₄	—	134	2	no	—
2577	C₂×C₄	—	134	2	no	—
2578	C₂×C₄	—	134	8	no	—
2579	C₂×C₄	—	134	4	no	—
2580	C₂×C₄	—	134	2	no	—
2581	C₂×C₄	—	134	2	no	—
2582	C₂×C₄	—	134	2	no	—
2583	C₂×C₄	—	134	2	no	—
2584	C₂×C₄	—	134	4	no	—
2585	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2586	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2587	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
2588	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2589	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
2590	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2591	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2592	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2593	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2594	C₂²	—	2	1	no	—
2595	C₂²	—	2	1	no	—
2596	C₂²	—	2	1	no	—
2597	C₂²	—	2	1	no	—
2598	C₂²	—	2	1	no	—
2599	C₂²	—	2	1	no	—
2600	C₂²	—	2	2	no	—
2601	C₂²	—	2	4	no	—
2602	C₂²	—	2	4	no	—
2603	C₂²	—	2	2	no	—
2604	C₂²	—	2	4	no	—
2605	C₂²	—	2	4	no	—
2606	C₂²	—	2	4	no	—
2607	C₂²	—	2	4	no	—
2608	C₂²	—	2	2	no	—
2609	C₂²	—	4	4	no	—
2610	C₂²	—	8	4	no	—
2611	C₂²	—	8	4	no	—
2612	C₂²	—	8	2	no	—
2613	C₂²	—	268	4	no	—
2614	C₂²	—	268	4	no	—
2615	C₂²	—	268	4	no	—
2616	C₂²	—	268	4	no	—
2617	C₂²	—	268	4	no	—
2618	C₂²	—	16	4	no	—
2619	C₂²	—	536	4	no	—
2620	C₂²	—	536	2	no	—
2621	C₂²	—	536	8	no	—
2622	C₂²	—	536	8	no	—
2623	C₂²	—	1072	4	no	—
2624	C₂²	—	67	2	no	—
2625	C₂²	—	67	2	no	—
2626	C₂²	—	134	8	no	—
2627	C₂²	—	134	1	no	—
2628	C₂²	—	134	1	no	—
2629	C₂²	—	134	2	no	—
2630	C₂²	—	134	4	no	—
2631	C₂²	—	134	2	no	—
2632	C₂²	—	134	4	no	—
2633	C₂²	—	134	1	no	—
2634	C₂²	—	134	1	no	—
2635	C₂²	—	134	4	no	—
2636	C₂²	—	134	1	no	—
2637	C₂²	—	134	1	no	—
2638	C₂²	—	134	2	no	—
2639	C₂²	—	134	1	no	—
2640	C₂²	—	134	1	no	—
2641	C₂²	—	134	1	no	—
2642	C₂²	—	134	1	no	—
2643	C₂²	C₂×#14524088	1	2	yes	—
2644	C₂²	C₂×#14524088	1	2	yes	—
2645	C₂²	C₂×#14524088	1	2	yes	—
2646	C₂²	C₂⁵×D₆₇	1	1	yes	characteristic
2647	C₄	—	2	1	no	—
2648	C₄	—	2	1	no	—
2649	C₄	—	2	1	no	—
2650	C₄	—	2	2	no	—
2651	C₄	—	2	2	no	—
2652	C₄	—	2	4	no	—
2653	C₄	—	2	4	no	—
2654	C₄	—	2	2	no	—
2655	C₄	—	67	2	no	—
2656	C₄	—	134	1	no	—
2657	C₄	—	134	1	no	—
2658	C₄	—	134	1	no	—
2659	C₄	—	134	2	no	—
2660	C₄	—	134	4	no	—
2661	C₄	—	134	4	no	—
2662	C₄	—	134	2	no	—
2663	C₄	—	134	4	no	—
2664	C₄	—	134	2	no	—
2665	C₄	H(5,𝔽₂)×D₆₇	1	2	yes	—
2666	C₂	—	2	2	no	—
2667	C₂	—	2	2	no	—
2668	C₂	—	2	2	no	—
2669	C₂	—	4	2	no	—
2670	C₂	—	4	4	no	—
2671	C₂	—	4	4	no	—
2672	C₂	—	268	1	no	—
2673	C₂	—	268	1	no	—
2674	C₂	—	268	4	no	—
2675	C₂	—	268	2	no	—
2676	C₂	—	134	2	no	—
2677	C₂	—	134	2	no	—
2678	C₂	C₂×H(5,𝔽₂)×D₆₇	1	1	yes	characteristic
2679	C₂	C₂²×#14524088	1	1	yes	characteristic
2680	C₂	#585×D₆₇	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₆₇
commutator, socle, cosocle	C₂²×C₆₇	C₂⁶
Fitting	C₆₇×#3496	C₂
hypercenter	#3496	D₆₇
hypocenter	C₆₇	#62818
LCS	G ▷ C₂²×C₆₇ ▷ C₆₇
UCS	C₁ ◁ C₂² ◁ #3496

Complements

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

N	H ≅ G/N	type
1. #22574530	C₂	semidirect
2. #22574526	C₂	semidirect
3. #22574510	C₂	semidirect
4. #22574446	C₂	semidirect
5. #22574440	C₂	semidirect
6. #22574432	C₂	semidirect
7. #22574426	C₂	semidirect
8. #22574396	C₂	semidirect
9. #22574394	C₂	semidirect
10. #22574388	C₂	semidirect
11. #22574236	C₂	semidirect
12. #22574235	C₂	semidirect
13. #22574230	C₂	semidirect
14. #22574048	C₂	semidirect
15. #22574046	C₂	semidirect
16. #22574043	C₂	semidirect
17. #22573968	C₂	semidirect
18. #22573966	C₂	semidirect
19. #22573939	C₂	semidirect
20. #22573933	C₂	semidirect
21. #22573911	C₂	semidirect
22. #22573891	C₂	semidirect
23. #22573874	C₂	semidirect
24. #22573869	C₂	semidirect
25. #22573841	C₂	semidirect
26. #22573840	C₂	semidirect
27. #22573837	C₂	semidirect
28. C₂×#16863906	C₂	semidirect
29. C₂×#16863905	C₂	semidirect
30. C₂×#121×D₆₇	C₂	semidirect
31. C₆₇×#3496	C₂	semidirect
32. C₂×#14524088	C₂²	semidirect
33. C₂×#14524088	C₂²	semidirect
34. C₂²×#11761628	C₂²	semidirect
35. C₂²×#11761627	C₂²	semidirect
36. C₂²×D₄×D₆₇	C₂²	semidirect
37. C₂²×D₄×D₆₇	C₂²	semidirect
38. C₂³×C₄×D₆₇	C₂²	semidirect
39. #16864143	C₂²	semidirect
40. #16864142	C₂²	semidirect
41. #16864142	C₂²	semidirect
42. #16864141	C₂²	semidirect
43. #16864136	C₂²	semidirect
44. #16864135	C₂²	semidirect
45. #16864135	C₂²	semidirect
46. #16864134	C₂²	semidirect
47. #16864112	C₂²	semidirect
48. #16864110	C₂²	semidirect
49. #16864108	C₂²	semidirect
50. #16864107	C₂²	semidirect
51. #16864101	C₂²	semidirect
52. #16864100	C₂²	semidirect
53. #16864098	C₂²	semidirect
54. #16864098	C₂²	semidirect
55. #16864096	C₂²	semidirect
56. #16864096	C₂²	semidirect
57. #16864095	C₂²	semidirect
58. #16864095	C₂²	semidirect
59. #16864094	C₂²	semidirect
60. #16864093	C₂²	semidirect
61. #16864092	C₂²	semidirect
62. #16864091	C₂²	semidirect
63. #16864089	C₂²	semidirect
64. #16864089	C₂²	semidirect
65. #16864089	C₂²	semidirect
66. #16864086	C₂²	semidirect
67. #16864083	C₂²	semidirect
68. #16864081	C₂²	semidirect
69. #16864077	C₂²	semidirect
70. #16864076	C₂²	semidirect
71. #16864075	C₂²	semidirect
72. #16864075	C₂²	semidirect
73. #16864074	C₂²	semidirect
74. #16864073	C₂²	semidirect
75. #16864072	C₂²	semidirect
76. #16864069	C₂²	semidirect
77. #16864066	C₂²	semidirect
78. #16864064	C₂²	semidirect
79. #16864064	C₂²	semidirect
80. #16864055	C₂²	semidirect
81. #16864052	C₂²	semidirect
82. #16864052	C₂²	semidirect
83. #16864047	C₂²	semidirect
84. #16864046	C₂²	semidirect
85. #16864045	C₂²	semidirect
86. #16864045	C₂²	semidirect
87. #16864043	C₂²	semidirect
88. #16864043	C₂²	semidirect
89. #16864042	C₂²	semidirect
90. #16864041	C₂²	semidirect
91. #16864041	C₂²	semidirect
92. #16864040	C₂²	semidirect
93. #16864040	C₂²	semidirect
94. #16864040	C₂²	semidirect
95. #16864040	C₂²	semidirect
96. #16864038	C₂²	semidirect
97. #16864038	C₂²	semidirect
98. #16864036	C₂²	semidirect
99. #16864036	C₂²	semidirect
100. #16864036	C₂²	semidirect
101. #16864035	C₂²	semidirect
102. #16864035	C₂²	semidirect
103. #16864035	C₂²	semidirect
104. #16864035	C₂²	semidirect
105. #16864035	C₂²	semidirect
106. #16864034	C₂²	semidirect
107. #16864034	C₂²	semidirect
108. #16864034	C₂²	semidirect
109. #16864034	C₂²	semidirect
110. #16864034	C₂²	semidirect
111. #16864034	C₂²	semidirect
112. #16864033	C₂²	semidirect
113. #16864033	C₂²	semidirect
114. #16864031	C₂²	semidirect
115. #16864030	C₂²	semidirect
116. #16864030	C₂²	semidirect
117. #16864030	C₂²	semidirect
118. D₄×C₂²⋊D₆₇	C₂²	semidirect
119. D₄×C₂²⋊D₆₇	C₂²	semidirect
120. D₄×C₂²⋊D₆₇	C₂²	semidirect
121. D₄×C₂²⋊D₆₇	C₂²	semidirect
122. D₄×C₂²⋊D₆₇	C₂²	semidirect
123. D₄×C₂²⋊D₆₇	C₂²	semidirect
124. D₄×C₂²⋊D₆₇	C₂²	semidirect
125. D₄×C₂²⋊D₆₇	C₂²	semidirect
126. #16864028	C₂²	semidirect
127. #16864028	C₂²	semidirect
128. #16864028	C₂²	semidirect
129. #16864023	C₂²	semidirect
130. #16864021	C₂²	semidirect
131. #16864020	C₂²	semidirect
132. #16864016	C₂²	semidirect
133. #16864011	C₂²	semidirect
134. #16864000	C₂²	semidirect
135. #16863998	C₂²	semidirect
136. #16863998	C₂²	semidirect
137. #16863997	C₂²	semidirect
138. #16863997	C₂²	semidirect
139. #16863996	C₂²	semidirect
140. #16863996	C₂²	semidirect
141. #16863993	C₂²	semidirect
142. #16863992	C₂²	semidirect
143. #16863991	C₂²	semidirect
144. #16863990	C₂²	semidirect
145. #16863989	C₂²	semidirect
146. #16863986	C₂²	semidirect
147. #16863984	C₂²	semidirect
148. #16863984	C₂²	semidirect
149. #16863983	C₂²	semidirect
150. #16863982	C₂²	semidirect
151. #16863981	C₂²	semidirect
152. #16863981	C₂²	semidirect
153. #16863980	C₂²	semidirect
154. #16863980	C₂²	semidirect
155. #16863978	C₂²	semidirect
156. #16863978	C₂²	semidirect
157. #16863977	C₂²	semidirect
158. #16863975	C₂²	semidirect
159. #16863975	C₂²	semidirect
160. #16863974	C₂²	semidirect
161. #16863973	C₂²	semidirect
162. #16863973	C₂²	semidirect
163. #16863963	C₂²	semidirect
164. #16863962	C₂²	semidirect
165. #16863962	C₂²	semidirect
166. #16863961	C₂²	semidirect
167. #16863961	C₂²	semidirect
168. #16863960	C₂²	semidirect
169. #16863959	C₂²	semidirect
170. #16863957	C₂²	semidirect
171. #16863956	C₂²	semidirect
172. #16863956	C₂²	semidirect
173. #16863955	C₂²	semidirect
174. #16863955	C₂²	semidirect
175. #16863955	C₂²	semidirect
176. #16863955	C₂²	semidirect
177. #16863955	C₂²	semidirect
178. #16863954	C₂²	semidirect
179. #16863954	C₂²	semidirect
180. #16863942	C₂²	semidirect
181. #16863941	C₂²	semidirect
182. #16863930	C₂²	semidirect
183. #16863927	C₂²	semidirect
184. #16863923	C₂²	semidirect
185. #16863907	C₂²	semidirect
186. #16863906	C₂²	semidirect
187. #16863906	C₂²	semidirect
188. #16863906	C₂²	semidirect
189. #16863906	C₂²	semidirect
190. #16863906	C₂²	semidirect
191. #16863906	C₂²	semidirect
192. #16863906	C₂²	semidirect
193. #16863906	C₂²	semidirect
194. #16863906	C₂²	semidirect
195. #16863905	C₂²	semidirect
196. #16863905	C₂²	semidirect
197. #16863905	C₂²	semidirect
198. #16863905	C₂²	semidirect
199. #16863905	C₂²	semidirect
200. #16863905	C₂²	semidirect
201. #16863905	C₂²	semidirect
202. #16863905	C₂²	semidirect
203. #16863904	C₂²	semidirect
204. #16863903	C₂²	semidirect
205. #16863902	C₂²	semidirect
206. C₂×#14524028	C₂²	semidirect
207. C₂×#14524025	C₂²	semidirect
208. C₂×#14524025	C₂²	semidirect
209. C₂×#14524023	C₂²	semidirect
210. C₂×#14524022	C₂²	semidirect
211. C₂×#14524021	C₂²	semidirect
212. C₂×#14524020	C₂²	semidirect
213. C₂×#14524018	C₂²	semidirect
214. C₂×#14524017	C₂²	semidirect
215. C₂×#14524016	C₂²	semidirect
216. C₂×#14524016	C₂²	semidirect
217. C₂×#14524015	C₂²	semidirect
218. C₂×#14524015	C₂²	semidirect
219. C₂×#14524015	C₂²	semidirect
220. C₂×#14524014	C₂²	semidirect
221. C₂×#14524014	C₂²	semidirect
222. #121×D₆₇	C₂²	semidirect
223. #121×D₆₇	C₂²	semidirect
224. #121×D₆₇	C₂²	semidirect
225. #121×D₆₇	C₂²	semidirect
226. #121×D₆₇	C₂²	semidirect
227. #121×D₆₇	C₂²	semidirect
228. #121×D₆₇	C₂²	semidirect
229. #121×D₆₇	C₂²	semidirect
230. #121×D₆₇	C₂²	semidirect
231. C₂×#14524013	C₂²	semidirect
232. C₂×#14524011	C₂²	semidirect
233. C₂×#14524011	C₂²	semidirect
234. C₂×#14524011	C₂²	semidirect
235. #120×D₆₇	C₂²	semidirect
236. #16863877	C₂²	semidirect
237. #16863875	C₂²	semidirect
238. #16863871	C₂²	semidirect
239. #16863869	C₂²	semidirect
240. #16863869	C₂²	semidirect
241. #16863868	C₂²	semidirect
242. #16863868	C₂²	semidirect
243. C₂×C₄×D₂₆₈	C₂²	semidirect
244. C₂×D₄×Dic₆₇	C₂²	semidirect
245. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
246. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
247. C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	semidirect
248. C₂×#14524001	C₂²	semidirect
249. C₂×#14524000	C₂²	semidirect
250. C₂×C₄⋊C₄×D₆₇	C₂²	semidirect
251. C₂×C₂²⋊C₄×D₆₇	C₂²	semidirect
252. C₂×H(5,𝔽₂)×C₆₇	C₂²	semidirect
253. #547×C₆₇	C₂²	semidirect
254. #547×C₆₇	C₂²	semidirect
255. #546×C₆₇	C₂²	semidirect
256. #546×C₆₇	C₂²	semidirect
257. D₄²×C₆₇	C₂²	semidirect
258. D₄²×C₆₇	C₂²	semidirect
259. #537×C₆₇	C₂²	semidirect
260. #534×C₆₇	C₂²	semidirect
261. #534×C₆₇	C₂²	semidirect
262. #532×C₆₇	C₂²	semidirect
263. C₂×#121×C₆₇	C₂²	semidirect
264. C₂×#121×C₆₇	C₂²	semidirect
265. C₂×#121×C₆₇	C₂²	semidirect
266. C₂×C₄×D₄×C₆₇	C₂²	semidirect
274. C₂×#11761628	C₂³	semidirect
275. C₂×#11761628	C₂³	semidirect
276. C₂×#11761628	C₂³	semidirect
277. C₂×#11761628	C₂³	semidirect
282. C₂×#11761627	C₂³	semidirect
283. C₂×#11761627	C₂³	semidirect
284. C₂×#11761627	C₂³	semidirect
285. C₂×#11761627	C₂³	semidirect
286. C₂×#11761627	C₂³	semidirect
287. C₂²×Dic₁₃₄	C₂³	semidirect
288. C₂²×Dic₁₃₄	C₂³	semidirect
303. C₂²×C₂²⋊D₆₇	C₂³	semidirect
304. C₂²×C₂²⋊D₆₇	C₂³	semidirect
305. C₂²×C₂²⋊D₆₇	C₂³	semidirect
319. C₂×D₄×D₆₇	C₂³	semidirect
320. C₂×D₄×D₆₇	C₂³	semidirect
322. C₂³×Dic₆₇	C₂³	semidirect
337. C₂²×C₄×D₆₇	C₂³	semidirect
338. #14524042	C₂³	semidirect
339. #14524041	C₂³	semidirect
340. #14524039	C₂³	semidirect
341. #14524039	C₂³	semidirect
342. #14524039	C₂³	semidirect
343. #14524039	C₂³	semidirect
344. #14524039	C₂³	semidirect
345. #14524039	C₂³	semidirect
346. #14524038	C₂³	semidirect
347. #14524038	C₂³	semidirect
348. #14524038	C₂³	semidirect
349. #14524038	C₂³	semidirect
350. #14524037	C₂³	semidirect
351. #14524036	C₂³	semidirect
352. #14524036	C₂³	semidirect
353. #14524036	C₂³	semidirect
354. #14524036	C₂³	semidirect
355. #14524036	C₂³	semidirect
356. #14524036	C₂³	semidirect
357. #14524036	C₂³	semidirect
358. #14524035	C₂³	semidirect
359. #14524034	C₂³	semidirect
360. #14524034	C₂³	semidirect
361. #14524033	C₂³	semidirect
362. #14524033	C₂³	semidirect
363. #14524033	C₂³	semidirect
364. #14524033	C₂³	semidirect
365. #14524032	C₂³	semidirect
366. #14524032	C₂³	semidirect
367. #14524032	C₂³	semidirect
368. #14524031	C₂³	semidirect
369. #14524030	C₂³	semidirect
370. #14524030	C₂³	semidirect
371. #14524030	C₂³	semidirect
372. #14524029	C₂³	semidirect
373. #14524029	C₂³	semidirect
374. #14524029	C₂³	semidirect
375. #14524029	C₂³	semidirect
376. #14524029	C₂³	semidirect
377. #14524029	C₂³	semidirect
378. #14524029	C₂³	semidirect
381. #14524028	C₂³	semidirect
382. #14524028	C₂³	semidirect
383. #14524028	C₂³	semidirect
384. #14524028	C₂³	semidirect
385. #14524028	C₂³	semidirect
386. #14524028	C₂³	semidirect
387. #14524027	C₂³	semidirect
388. #14524027	C₂³	semidirect
389. #14524027	C₂³	semidirect
391. #14524026	C₂³	semidirect
392. #14524026	C₂³	semidirect
393. #14524026	C₂³	semidirect
394. #14524026	C₂³	semidirect
395. #14524026	C₂³	semidirect
396. #14524026	C₂³	semidirect
397. #14524026	C₂³	semidirect
402. #14524025	C₂³	semidirect
403. #14524025	C₂³	semidirect
404. #14524025	C₂³	semidirect
405. #14524025	C₂³	semidirect
406. #14524025	C₂³	semidirect
407. #14524025	C₂³	semidirect
408. #14524025	C₂³	semidirect
409. #14524025	C₂³	semidirect
410. #14524025	C₂³	semidirect
413. #14524024	C₂³	semidirect
414. #14524024	C₂³	semidirect
415. #14524024	C₂³	semidirect
416. #14524024	C₂³	semidirect
417. #14524024	C₂³	semidirect
418. #14524024	C₂³	semidirect
421. #14524023	C₂³	semidirect
422. #14524023	C₂³	semidirect
423. #14524023	C₂³	semidirect
424. #14524023	C₂³	semidirect
427. #14524022	C₂³	semidirect
428. #14524022	C₂³	semidirect
429. #14524022	C₂³	semidirect
430. #14524022	C₂³	semidirect
431. #14524022	C₂³	semidirect
436. #14524021	C₂³	semidirect
437. #14524021	C₂³	semidirect
438. #14524021	C₂³	semidirect
439. #14524021	C₂³	semidirect
442. #14524020	C₂³	semidirect
443. #14524020	C₂³	semidirect
444. #14524020	C₂³	semidirect
445. #14524020	C₂³	semidirect
446. #14524020	C₂³	semidirect
447. #14524020	C₂³	semidirect
450. #14524019	C₂³	semidirect
451. #14524019	C₂³	semidirect
456. #14524018	C₂³	semidirect
457. #14524018	C₂³	semidirect
458. #14524018	C₂³	semidirect
463. #14524017	C₂³	semidirect
464. #14524017	C₂³	semidirect
465. #14524017	C₂³	semidirect
466. #14524017	C₂³	semidirect
467. #14524017	C₂³	semidirect
468. #14524017	C₂³	semidirect
469. #14524017	C₂³	semidirect
478. #14524016	C₂³	semidirect
479. #14524016	C₂³	semidirect
480. #14524016	C₂³	semidirect
481. #14524016	C₂³	semidirect
482. #14524016	C₂³	semidirect
483. #14524016	C₂³	semidirect
484. #14524016	C₂³	semidirect
485. #14524016	C₂³	semidirect
486. #14524016	C₂³	semidirect
493. #14524015	C₂³	semidirect
494. #14524015	C₂³	semidirect
495. #14524015	C₂³	semidirect
496. #14524015	C₂³	semidirect
497. #14524015	C₂³	semidirect
498. #14524015	C₂³	semidirect
499. #14524015	C₂³	semidirect
500. #14524015	C₂³	semidirect
501. #14524015	C₂³	semidirect
502. #14524015	C₂³	semidirect
503. #14524015	C₂³	semidirect
504. #14524015	C₂³	semidirect
505. #14524015	C₂³	semidirect
506. #14524015	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
513. #14524015	C₂³	semidirect
514. #14524015	C₂³	semidirect
523. #14524014	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
536. #14524013	C₂³	semidirect
537. #14524013	C₂³	semidirect
538. #14524013	C₂³	semidirect
540. #14524012	C₂³	semidirect
541. #14524012	C₂³	semidirect
542. #14524012	C₂³	semidirect
543. #14524012	C₂³	semidirect
544. #14524012	C₂³	semidirect
545. #14524012	C₂³	semidirect
562. #14524011	C₂³	semidirect
563. #14524011	C₂³	semidirect
564. #14524011	C₂³	semidirect
565. #14524011	C₂³	semidirect
566. C₄×Dic₁₃₄	C₂³	semidirect
567. #14524008	C₂³	semidirect
568. #14524008	C₂³	semidirect
571. C₄×D₂₆₈	C₂³	semidirect
572. C₄×D₂₆₈	C₂³	semidirect
573. C₄×D₂₆₈	C₂³	semidirect
576. D₄×Dic₆₇	C₂³	semidirect
577. D₄×Dic₆₇	C₂³	semidirect
578. D₄×Dic₆₇	C₂³	semidirect
579. D₄×Dic₆₇	C₂³	semidirect
580. D₄×Dic₆₇	C₂³	semidirect
581. D₄×Dic₆₇	C₂³	semidirect
582. D₄×Dic₆₇	C₂³	semidirect
583. D₄×Dic₆₇	C₂³	semidirect
584. D₄×Dic₆₇	C₂³	semidirect
587. #14524005	C₂³	semidirect
596. C₄×C₂²⋊D₆₇	C₂³	semidirect
597. C₄×C₂²⋊D₆₇	C₂³	semidirect
598. C₄×C₂²⋊D₆₇	C₂³	semidirect
599. C₄×C₂²⋊D₆₇	C₂³	semidirect
600. C₄×C₂²⋊D₆₇	C₂³	semidirect
601. C₄×C₂²⋊D₆₇	C₂³	semidirect
602. C₄×C₂²⋊D₆₇	C₂³	semidirect
603. C₄×C₂²⋊D₆₇	C₂³	semidirect
604. C₄×C₂²⋊D₆₇	C₂³	semidirect
605. C₄×C₂²⋊D₆₇	C₂³	semidirect
606. C₄×C₂²⋊D₆₇	C₂³	semidirect
611. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
612. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
613. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
614. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
615. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
616. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
617. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
618. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
620. #14524002	C₂³	semidirect
623. #14524001	C₂³	semidirect
624. #14524001	C₂³	semidirect
625. #14524001	C₂³	semidirect
626. #14524001	C₂³	semidirect
629. #14524000	C₂³	semidirect
630. #14524000	C₂³	semidirect
631. #14524000	C₂³	semidirect
633. #14523999	C₂³	semidirect
634. #14523999	C₂³	semidirect
635. #14523999	C₂³	semidirect
637. C₂×C₄⋊Dic₆₇	C₂³	semidirect
638. C₂×C₄⋊Dic₆₇	C₂³	semidirect
639. C₂×C₄⋊Dic₆₇	C₂³	semidirect
641. C₂×Dic₆₇⋊C₄	C₂³	semidirect
642. C₂×Dic₆₇⋊C₄	C₂³	semidirect
643. C₂×Dic₆₇⋊C₄	C₂³	semidirect
644. C₂×Dic₆₇⋊C₄	C₂³	semidirect
645. C₂×Dic₆₇⋊C₄	C₂³	semidirect
646. C₂×Dic₆₇⋊C₄	C₂³	semidirect
651. C₄⋊C₄×D₆₇	C₂³	semidirect
656. C₂×C₂²⋊Dic₆₇	C₂³	semidirect
657. C₂×C₂²⋊Dic₆₇	C₂³	semidirect
658. C₂×C₂²⋊Dic₆₇	C₂³	semidirect
669. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
670. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
671. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
679. C₂²⋊C₄×D₆₇	C₂³	semidirect
680. C₂×C₄×Dic₆₇	C₂³	semidirect
681. C₂×C₄×Dic₆₇	C₂³	semidirect
684. C₂×#41×C₆₇	C₂³	semidirect
685. C₂×#41×C₆₇	C₂³	semidirect
691. C₂²×D₄×C₆₇	C₂³	semidirect
692. C₂²×D₄×C₆₇	C₂³	semidirect
693. C₂²×D₄×C₆₇	C₂³	semidirect
694. C₂²×D₄×C₆₇	C₂³	semidirect
696. C₂³×C₄×C₆₇	C₂³	semidirect
697. C₄⋊Q₈×C₆₇	C₂³	semidirect
698. #127×C₆₇	C₂³	semidirect
699. #124×C₆₇	C₂³	semidirect
701. #123×C₆₇	C₂³	semidirect
702. #123×C₆₇	C₂³	semidirect
703. #123×C₆₇	C₂³	semidirect
704. C₂²⋊Q₈×C₆₇	C₂³	semidirect
705. C₂²⋊Q₈×C₆₇	C₂³	semidirect
712. #121×C₆₇	C₂³	semidirect
713. #121×C₆₇	C₂³	semidirect
714. #121×C₆₇	C₂³	semidirect
715. #121×C₆₇	C₂³	semidirect
716. #121×C₆₇	C₂³	semidirect
717. #121×C₆₇	C₂³	semidirect
718. #121×C₆₇	C₂³	semidirect
719. #121×C₆₇	C₂³	semidirect
720. #121×C₆₇	C₂³	semidirect
722. #120×C₆₇	C₂³	semidirect
723. #120×C₆₇	C₂³	semidirect
724. #120×C₆₇	C₂³	semidirect
727. C₄×D₄×C₆₇	C₂³	semidirect
728. C₄×D₄×C₆₇	C₂³	semidirect
729. C₄×D₄×C₆₇	C₂³	semidirect
730. C₄×D₄×C₆₇	C₂³	semidirect
731. C₄×D₄×C₆₇	C₂³	semidirect
733. C₂×C₄⋊C₄×C₆₇	C₂³	semidirect
734. C₂×C₄⋊C₄×C₆₇	C₂³	semidirect
735. C₂×C₄⋊C₄×C₆₇	C₂³	semidirect
738. C₂×C₂²⋊C₄×C₆₇	C₂³	semidirect
739. C₂×C₂²⋊C₄×C₆₇	C₂³	semidirect
740. C₂×C₂²⋊C₄×C₆₇	C₂³	semidirect
741. C₂×C₄²×C₆₇	C₂³	semidirect
1073. C₂³×C₆₇	H(5,𝔽₂)	semidirect
1247. C₄×D₆₇	H(5,𝔽₂)	semidirect
1359. #3496	D₆₇	semidirect
1372. C₆₇	#62818	semidirect
1375. C₂×H(5,𝔽₂)	C₂×D₆₇	semidirect
1429. #547	C₂×D₆₇	semidirect
1430. #547	C₂×D₆₇	semidirect
1458. #546	C₂×D₆₇	semidirect
1459. #546	C₂×D₆₇	semidirect
1475. D₄²	C₂×D₆₇	semidirect
1476. D₄²	C₂×D₆₇	semidirect
1511. #537	C₂×D₆₇	semidirect
1529. #534	C₂×D₆₇	semidirect
1530. #534	C₂×D₆₇	semidirect
1533. #532	C₂×D₆₇	semidirect
1583. C₂×#121	C₂×D₆₇	semidirect
1584. C₂×#121	C₂×D₆₇	semidirect
1585. C₂×#121	C₂×D₆₇	semidirect
1603. C₂×C₄×D₄	C₂×D₆₇	semidirect
1630. C₂×#41	C₂²×D₆₇	semidirect
1631. C₂×#41	C₂²×D₆₇	semidirect
1671. C₂²×D₄	C₂²×D₆₇	semidirect
1672. C₂²×D₄	C₂²×D₆₇	semidirect
1673. C₂²×D₄	C₂²×D₆₇	semidirect
1674. C₂²×D₄	C₂²×D₆₇	semidirect
1693. C₂³×C₄	C₂²×D₆₇	semidirect
1696. C₄⋊Q₈	C₂²×D₆₇	semidirect
1703. #127	C₂²×D₆₇	semidirect
1737. #124	C₂²×D₆₇	semidirect
1779. #123	C₂²×D₆₇	semidirect
1780. #123	C₂²×D₆₇	semidirect
1781. #123	C₂²×D₆₇	semidirect
1815. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1816. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1901. #121	C₂²×D₆₇	semidirect
1902. #121	C₂²×D₆₇	semidirect
1903. #121	C₂²×D₆₇	semidirect
1904. #121	C₂²×D₆₇	semidirect
1905. #121	C₂²×D₆₇	semidirect
1906. #121	C₂²×D₆₇	semidirect
1907. #121	C₂²×D₆₇	semidirect
1908. #121	C₂²×D₆₇	semidirect
1909. #121	C₂²×D₆₇	semidirect
1947. #120	C₂²×D₆₇	semidirect
1948. #120	C₂²×D₆₇	semidirect
1949. #120	C₂²×D₆₇	semidirect
2005. C₄×D₄	C₂²×D₆₇	semidirect
2006. C₄×D₄	C₂²×D₆₇	semidirect
2007. C₄×D₄	C₂²×D₆₇	semidirect
2008. C₄×D₄	C₂²×D₆₇	semidirect
2009. C₄×D₄	C₂²×D₆₇	semidirect
2044. C₂×C₄⋊C₄	C₂²×D₆₇	semidirect
2045. C₂×C₄⋊C₄	C₂²×D₆₇	semidirect
2046. C₂×C₄⋊C₄	C₂²×D₆₇	semidirect
2077. C₂×C₂²⋊C₄	C₂²×D₆₇	semidirect
2078. C₂×C₂²⋊C₄	C₂²×D₆₇	semidirect
2079. C₂×C₂²⋊C₄	C₂²×D₆₇	semidirect
2082. C₂×C₄²	C₂²×D₆₇	semidirect
2455. C₂³	#14524088	semidirect

Maximal subgroups

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

subgroup	index
#22574530	2
#22574526	2
#22574510	2
#22574446	2
#22574440	2
#22574432	2
#22574426	2
#22574396	2
#22574394	2
#22574388	2
#22574236	2
#22574235	2
#22574230	2
#22574048	2
#22574046	2
#22574043	2
#22573968	2
#22573966	2
#22573939	2
#22573933	2
#22573911	2
#22573891	2
#22573874	2
#22573869	2
#22573841	2
#22573840	2
#22573837	2
C₂×#16863906	2
C₂×#16863905	2
C₂×#121×D₆₇	2
C₆₇×#3496	2
#62818	67