Subgroups — #3536×D₆₇ #31763044

Order 17152.

7962 conjugacy classes of subgroups.

The subgroup lattice has 2624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22574438	C₂	1	1	yes	maximal, characteristic, complemented
2	#22574437	C₂	1	2	yes	maximal, complemented
3	#22574436	C₂	1	1	yes	maximal, characteristic, complemented
4	#22574435	C₂	1	2	yes	maximal, complemented
5	#22574434	C₂	1	2	yes	maximal, complemented
6	#22574433	C₂	1	2	yes	maximal, complemented
7	#22574432	C₂	1	2	yes	maximal, complemented
8	#22574431	C₂	1	1	yes	maximal, characteristic, complemented
9	#22574430	C₂	1	2	yes	maximal, complemented
10	#22574429	C₂	1	2	yes	maximal, complemented
11	#22574428	C₂	1	4	yes	maximal, complemented
12	#22574427	C₂	1	2	yes	maximal, complemented
13	#22574426	C₂	1	2	yes	maximal, complemented
14	#22574425	C₂	1	2	yes	maximal, complemented
15	#22574424	C₂	1	4	yes	maximal, complemented
16	#562×D₆₇	C₂	1	4	yes	maximal, complemented
17	#554×D₆₇	C₂	1	2	yes	maximal, complemented
18	#548×D₆₇	C₂	1	2	yes	maximal, complemented
19	#547×D₆₇	C₂	1	2	yes	maximal, complemented
20	#546×D₆₇	C₂	1	2	yes	maximal, complemented
21	#546×D₆₇	C₂	1	4	yes	maximal, complemented
22	#543×D₆₇	C₂	1	2	yes	maximal, complemented
23	#542×D₆₇	C₂	1	2	yes	maximal, complemented
24	#539×D₆₇	C₂	1	2	yes	maximal, complemented
25	#538×D₆₇	C₂	1	2	yes	maximal, complemented
26	#537×D₆₇	C₂	1	2	yes	maximal, complemented
27	#537×D₆₇	C₂	1	2	yes	maximal, complemented
28	#525×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×C₂²⋊Q₈×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#121×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
31	C₆₇×#3536	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#41×D₆₇	C₂²	1	4	yes	complemented
33	C₂×#41×D₆₇	C₂²	1	2	yes	complemented
34	C₂×#41×D₆₇	C₂²	1	1	yes	characteristic, complemented
35	C₂²×Q₈×D₆₇	C₂²	1	1	yes	characteristic, complemented
36	C₂²×D₄×D₆₇	C₂²	1	1	yes	characteristic
37	C₂²×D₄×D₆₇	C₂²	1	2	yes	—
38	C₂³×C₄×D₆₇	C₂²	1	1	yes	characteristic
39	#16864144	C₂²	1	4	yes	complemented
40	#16864143	C₂²	1	4	yes	complemented
41	#16864143	C₂²	1	4	yes	complemented
42	#16864143	C₂²	1	4	yes	complemented
43	#16864143	C₂²	1	4	yes	complemented
44	#16864142	C₂²	1	4	yes	complemented
45	#16864142	C₂²	1	4	yes	complemented
46	#16864142	C₂²	1	4	yes	complemented
47	#16864142	C₂²	1	4	yes	complemented
48	#16864141	C₂²	1	4	yes	complemented
49	#16864141	C₂²	1	4	yes	complemented
50	#16864141	C₂²	1	4	yes	complemented
51	#16864141	C₂²	1	4	yes	complemented
52	#16864140	C₂²	1	4	yes	complemented
53	#16864140	C₂²	1	4	yes	complemented
54	#16864107	C₂²	1	2	yes	complemented
55	#16864106	C₂²	1	2	yes	complemented
56	#16864105	C₂²	1	4	yes	complemented
57	#16864104	C₂²	1	2	yes	complemented
58	#16864104	C₂²	1	2	yes	complemented
59	#16864103	C₂²	1	2	yes	complemented
60	#16864102	C₂²	1	4	yes	complemented
61	#16864101	C₂²	1	2	yes	complemented
62	#16864101	C₂²	1	2	yes	complemented
63	#16864100	C₂²	1	4	yes	complemented
64	#16864100	C₂²	1	4	yes	complemented
65	#16864058	C₂²	1	2	yes	complemented
66	#16864057	C₂²	1	2	yes	complemented
67	#16864056	C₂²	1	4	yes	complemented
68	#16864056	C₂²	1	2	yes	complemented
69	#16864055	C₂²	1	4	yes	complemented
70	#16864055	C₂²	1	2	yes	complemented
71	#16864054	C₂²	1	2	yes	complemented
72	#16864054	C₂²	1	4	yes	complemented
73	#16864053	C₂²	1	2	yes	complemented
74	#16864052	C₂²	1	2	yes	complemented
75	#16864052	C₂²	1	4	yes	complemented
76	#16864051	C₂²	1	2	yes	complemented
77	#16864050	C₂²	1	2	yes	complemented
78	#16864049	C₂²	1	2	yes	complemented
79	#16864048	C₂²	1	4	yes	complemented
80	#16864047	C₂²	1	2	yes	complemented
81	#16864047	C₂²	1	2	yes	complemented
82	#16864046	C₂²	1	2	yes	complemented
83	#16864046	C₂²	1	2	yes	complemented
84	#16864045	C₂²	1	4	yes	complemented
85	#16864044	C₂²	1	4	yes	complemented
86	#16864044	C₂²	1	4	yes	complemented
87	#16864043	C₂²	1	4	yes	complemented
88	#16864043	C₂²	1	2	yes	complemented
89	#16864042	C₂²	1	4	yes	complemented
90	#16864042	C₂²	1	2	yes	complemented
91	#16864041	C₂²	1	4	yes	complemented
92	#16864041	C₂²	1	2	yes	complemented
93	#16864040	C₂²	1	4	yes	complemented
94	#16864040	C₂²	1	2	yes	complemented
95	#16864039	C₂²	1	2	yes	complemented
96	#16864039	C₂²	1	4	yes	complemented
97	#16864038	C₂²	1	4	yes	complemented
98	#16864038	C₂²	1	4	yes	complemented
99	#16864038	C₂²	1	4	yes	complemented
100	#16864037	C₂²	1	4	yes	complemented
101	#16864037	C₂²	1	2	yes	complemented
102	#16864036	C₂²	1	4	yes	complemented
103	#16864036	C₂²	1	4	yes	complemented
104	#16864036	C₂²	1	4	yes	complemented
105	#16864035	C₂²	1	4	yes	complemented
106	#16864035	C₂²	1	4	yes	complemented
107	#16864035	C₂²	1	4	yes	complemented
108	#16864034	C₂²	1	2	yes	complemented
109	#16864034	C₂²	1	4	yes	complemented
110	#16864033	C₂²	1	4	yes	complemented
111	#16864033	C₂²	1	4	yes	complemented
112	#16864033	C₂²	1	4	yes	complemented
113	#16864022	C₂²	1	4	yes	complemented
114	#16864022	C₂²	1	2	yes	complemented
115	#16864021	C₂²	1	4	yes	complemented
116	#16864021	C₂²	1	2	yes	complemented
117	#16864021	C₂²	1	2	yes	complemented
118	#16864021	C₂²	1	4	yes	complemented
119	#16864021	C₂²	1	4	yes	complemented
120	#16864021	C₂²	1	4	yes	complemented
121	#16864021	C₂²	1	4	yes	complemented
122	#16864020	C₂²	1	2	yes	complemented
123	#16864019	C₂²	1	2	yes	complemented
124	#16864018	C₂²	1	2	yes	complemented
125	#16864017	C₂²	1	2	yes	complemented
126	#16864016	C₂²	1	4	yes	complemented
127	#16864015	C₂²	1	2	yes	complemented
128	#16864014	C₂²	1	4	yes	complemented
129	#16864013	C₂²	1	2	yes	complemented
130	#16864012	C₂²	1	4	yes	complemented
131	#16864011	C₂²	1	2	yes	complemented
132	#16864010	C₂²	1	4	yes	complemented
133	#16863995	C₂²	1	2	yes	complemented
134	#16863994	C₂²	1	4	yes	complemented
135	#16863993	C₂²	1	2	yes	complemented
136	#16863992	C₂²	1	4	yes	complemented
137	#16863991	C₂²	1	2	yes	complemented
138	#16863990	C₂²	1	4	yes	complemented
139	#16863989	C₂²	1	4	yes	complemented
140	#16863988	C₂²	1	4	yes	complemented
141	#16863987	C₂²	1	4	yes	complemented
142	#16863986	C₂²	1	2	yes	complemented
143	#16863985	C₂²	1	4	yes	complemented
144	#16863984	C₂²	1	2	yes	complemented
145	#16863983	C₂²	1	2	yes	complemented
146	#16863982	C₂²	1	4	yes	complemented
147	#16863981	C₂²	1	4	yes	complemented
148	#16863980	C₂²	1	4	yes	complemented
149	#16863979	C₂²	1	4	yes	complemented
150	#16863978	C₂²	1	4	yes	complemented
151	#16863977	C₂²	1	2	yes	complemented
152	#16863977	C₂²	1	2	yes	complemented
153	#16863976	C₂²	1	4	yes	complemented
154	#16863976	C₂²	1	4	yes	complemented
155	#16863976	C₂²	1	2	yes	complemented
156	#16863976	C₂²	1	2	yes	complemented
157	#16863976	C₂²	1	4	yes	complemented
158	#16863975	C₂²	1	2	yes	complemented
159	#16863975	C₂²	1	4	yes	complemented
160	#16863975	C₂²	1	2	yes	complemented
161	#16863975	C₂²	1	4	yes	complemented
162	#16863975	C₂²	1	4	yes	complemented
163	#16863974	C₂²	1	2	yes	complemented
164	#16863974	C₂²	1	4	yes	complemented
165	#16863974	C₂²	1	2	yes	complemented
166	#16863973	C₂²	1	2	yes	complemented
167	#16863973	C₂²	1	4	yes	complemented
168	#16863973	C₂²	1	4	yes	complemented
169	#16863973	C₂²	1	4	yes	complemented
170	#16863973	C₂²	1	2	yes	complemented
171	C₄⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
172	#126×D₆₇	C₂²	1	4	yes	complemented
173	#125×D₆₇	C₂²	1	4	yes	complemented
174	#124×D₆₇	C₂²	1	2	yes	complemented
175	#124×D₆₇	C₂²	1	4	yes	complemented
176	#124×D₆₇	C₂²	1	4	yes	complemented
177	#16863909	C₂²	1	1	yes	characteristic, complemented
178	#16863909	C₂²	1	1	yes	characteristic, complemented
179	#16863908	C₂²	1	1	yes	characteristic, complemented
180	#16863907	C₂²	1	1	yes	characteristic, complemented
181	#16863906	C₂²	1	1	yes	characteristic, complemented
182	#16863906	C₂²	1	1	yes	characteristic, complemented
183	#16863905	C₂²	1	2	yes	complemented
184	#16863905	C₂²	1	2	yes	complemented
185	#16863904	C₂²	1	2	yes	complemented
186	#16863903	C₂²	1	1	yes	characteristic, complemented
187	#16863902	C₂²	1	2	yes	complemented
188	#123×D₆₇	C₂²	1	4	yes	complemented
189	#123×D₆₇	C₂²	1	4	yes	complemented
190	#123×D₆₇	C₂²	1	4	yes	complemented
191	#123×D₆₇	C₂²	1	4	yes	complemented
192	#123×D₆₇	C₂²	1	2	yes	complemented
193	C₂×#14524023	C₂²	1	1	yes	characteristic, complemented
194	C₂×#14524022	C₂²	1	1	yes	characteristic, complemented
195	C₂×#14524021	C₂²	1	2	yes	complemented
196	C₂×#14524020	C₂²	1	2	yes	complemented
197	C₂×#14524019	C₂²	1	1	yes	characteristic, complemented
198	C₂²⋊Q₈×D₆₇	C₂²	1	1	yes	characteristic
199	C₂²⋊Q₈×D₆₇	C₂²	1	4	yes	—
200	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	—
201	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	—
202	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
203	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
204	C₂²⋊Q₈×D₆₇	C₂²	1	4	yes	complemented
205	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
206	C₂²⋊Q₈×D₆₇	C₂²	1	4	yes	complemented
207	C₂²⋊Q₈×D₆₇	C₂²	1	4	yes	complemented
208	C₂²⋊Q₈×D₆₇	C₂²	1	4	yes	complemented
209	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
210	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
211	C₂²⋊Q₈×D₆₇	C₂²	1	1	yes	characteristic, complemented
212	C₂²⋊Q₈×D₆₇	C₂²	1	4	yes	complemented
213	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
214	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
215	C₂×#14524018	C₂²	1	1	yes	characteristic, complemented
216	C₂×#14524017	C₂²	1	1	yes	characteristic, complemented
217	C₂×#14524016	C₂²	1	2	yes	complemented
218	C₂×#14524015	C₂²	1	2	yes	complemented
219	C₂×#14524014	C₂²	1	1	yes	characteristic, complemented
220	#121×D₆₇	C₂²	1	2	yes	—
221	#121×D₆₇	C₂²	1	2	yes	—
222	#121×D₆₇	C₂²	1	2	yes	—
223	#121×D₆₇	C₂²	1	2	yes	—
224	#121×D₆₇	C₂²	1	1	yes	characteristic
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	4	yes	complemented
231	#121×D₆₇	C₂²	1	4	yes	complemented
232	#121×D₆₇	C₂²	1	4	yes	complemented
233	#121×D₆₇	C₂²	1	4	yes	complemented
234	#121×D₆₇	C₂²	1	1	yes	characteristic, complemented
235	#121×D₆₇	C₂²	1	4	yes	complemented
236	#120×D₆₇	C₂²	1	2	yes	—
237	#120×D₆₇	C₂²	1	4	yes	—
238	C₄×Q₈×D₆₇	C₂²	1	2	yes	complemented
239	C₄×D₄×D₆₇	C₂²	1	2	yes	—
240	C₄×D₄×D₆₇	C₂²	1	4	yes	—
241	C₄×D₄×D₆₇	C₂²	1	2	yes	complemented
242	C₄×D₄×D₆₇	C₂²	1	4	yes	complemented
243	C₄×D₄×D₆₇	C₂²	1	2	yes	complemented
244	#117×D₆₇	C₂²	1	1	yes	characteristic, complemented
245	C₂×C₄⋊C₄×D₆₇	C₂²	1	1	yes	characteristic
246	C₂×C₄⋊C₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
247	C₂×C₄⋊C₄×D₆₇	C₂²	1	2	yes	complemented
248	C₂×C₄⋊C₄×D₆₇	C₂²	1	2	yes	complemented
249	C₂×C₂²⋊C₄×D₆₇	C₂²	1	4	yes	—
250	C₂×C₂²⋊C₄×D₆₇	C₂²	1	2	yes	—
251	C₂×C₂²⋊C₄×D₆₇	C₂²	1	2	yes	—
252	#562×C₆₇	C₂²	1	4	yes	complemented
253	#554×C₆₇	C₂²	1	2	yes	complemented
254	#548×C₆₇	C₂²	1	2	yes	complemented
255	#547×C₆₇	C₂²	1	2	yes	complemented
256	#546×C₆₇	C₂²	1	4	yes	complemented
257	#546×C₆₇	C₂²	1	2	yes	complemented
258	#543×C₆₇	C₂²	1	2	yes	complemented
259	#542×C₆₇	C₂²	1	2	yes	complemented
260	#539×C₆₇	C₂²	1	2	yes	complemented
261	#538×C₆₇	C₂²	1	2	yes	complemented
262	#537×C₆₇	C₂²	1	2	yes	complemented
263	#537×C₆₇	C₂²	1	2	yes	complemented
264	#525×C₆₇	C₂²	1	1	yes	characteristic, complemented
265	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
266	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic, complemented
267	C₂⁴×D₆₇	C₂³	1	1	yes	characteristic
268	C₂⁴×D₆₇	C₂³	1	2	yes	—
269	C₂×#11761629	C₂³	1	4	yes	complemented
270	C₂×#11761629	C₂³	1	2	yes	complemented
271	C₂×#11761629	C₂³	1	1	yes	characteristic, complemented
272	C₂×#11761628	C₂³	1	4	yes	complemented
273	C₂×#11761628	C₂³	1	4	yes	complemented
274	C₂×#11761628	C₂³	1	4	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×#11761628	C₂³	1	1	yes	characteristic, complemented
279	C₂×#11761627	C₂³	1	4	yes	complemented
280	C₂×#11761627	C₂³	1	4	yes	complemented
281	C₂×#11761627	C₂³	1	4	yes	complemented
282	C₂×#11761627	C₂³	1	4	yes	complemented
283	C₂×#11761627	C₂³	1	2	yes	complemented
284	C₂×#11761627	C₂³	1	2	yes	complemented
285	C₂×#11761627	C₂³	1	1	yes	characteristic, complemented
286	#41×D₆₇	—	4	4	no	—
287	#41×D₆₇	—	4	16	no	—
288	#41×D₆₇	—	4	8	no	—
289	C₂²×Dic₁₃₄	C₂³	1	2	yes	complemented
290	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic, complemented
291	C₂×Q₈×D₆₇	—	4	4	no	—
292	C₂×Q₈×D₆₇	C₂³	1	2	yes	—
293	C₂×Q₈×D₆₇	C₂³	1	1	yes	characteristic
294	C₂×Q₈×D₆₇	C₂³	1	2	yes	—
295	C₂×Q₈×D₆₇	C₂³	1	4	yes	—
296	C₂×Q₈×D₆₇	C₂³	1	2	yes	complemented
297	C₂×Q₈×D₆₇	C₂³	1	2	yes	complemented
298	C₂²×D₂₆₈	C₂³	1	2	yes	—
299	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
300	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
301	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
302	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
303	C₂×D₄×D₆₇	—	4	4	no	—
304	C₂×D₄×D₆₇	—	4	8	no	—
305	C₂×D₄×D₆₇	C₂³	1	2	yes	—
306	C₂×D₄×D₆₇	C₂³	1	2	yes	—
307	C₂×D₄×D₆₇	C₂³	1	4	yes	—
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	2	yes	—
312	C₂×D₄×D₆₇	C₂³	1	4	yes	—
313	C₂×D₄×D₆₇	C₂³	1	4	yes	—
314	C₂×D₄×D₆₇	C₂³	1	2	yes	—
315	C₂×D₄×D₆₇	C₂³	1	4	yes	—
316	C₂×D₄×D₆₇	C₂³	1	2	yes	—
317	C₂×D₄×D₆₇	C₂³	1	4	yes	—
318	C₂×D₄×D₆₇	C₂³	1	1	yes	characteristic
319	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
320	C₂²×C₄×D₆₇	—	4	4	no	—
321	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
322	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
323	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
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	2	yes	—
328	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
329	C₂²×C₄×D₆₇	C₂³	1	4	yes	—
330	C₂²×C₄×D₆₇	C₂³	1	4	yes	—
331	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
332	C₂²×C₄×D₆₇	C₂³	1	4	yes	—
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
338	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
339	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
340	#14524043	C₂³	1	2	yes	complemented
341	#14524042	C₂³	1	2	yes	complemented
342	#14524042	C₂³	1	4	yes	complemented
343	#14524042	C₂³	1	2	yes	complemented
344	#14524041	C₂³	1	4	yes	complemented
345	#14524038	C₂³	1	4	yes	complemented
346	#14524038	C₂³	1	4	yes	complemented
347	#14524038	C₂³	1	4	yes	complemented
348	#14524037	C₂³	1	4	yes	complemented
349	#14524036	C₂³	1	4	yes	complemented
350	#14524036	C₂³	1	4	yes	complemented
351	#14524036	C₂³	1	4	yes	complemented
352	#14524035	C₂³	1	4	yes	complemented
353	#14524034	C₂³	1	4	yes	complemented
354	#14524034	C₂³	1	4	yes	complemented
355	#14524033	C₂³	1	4	yes	complemented
356	#14524033	C₂³	1	4	yes	complemented
357	#14524033	C₂³	1	4	yes	complemented
358	#14524033	C₂³	1	4	yes	complemented
359	#14524032	C₂³	1	4	yes	complemented
360	#14524032	C₂³	1	2	yes	complemented
361	#14524032	C₂³	1	4	yes	complemented
362	#14524031	C₂³	1	4	yes	complemented
363	#14524031	C₂³	1	2	yes	complemented
364	#14524031	C₂³	1	4	yes	complemented
365	#14524030	C₂³	1	2	yes	complemented
366	#14524030	C₂³	1	4	yes	complemented
367	#14524030	C₂³	1	4	yes	complemented
368	#14524029	C₂³	1	4	yes	complemented
369	#14524029	C₂³	1	4	yes	complemented
370	#14524029	C₂³	1	4	yes	complemented
371	#14524029	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	#14524028	C₂³	1	4	yes	complemented
379	#14524028	C₂³	1	4	yes	complemented
380	#14524028	C₂³	1	4	yes	complemented
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	4	yes	complemented
386	#14524028	C₂³	1	2	yes	complemented
387	#14524028	C₂³	1	2	yes	complemented
388	#14524027	C₂³	1	4	yes	complemented
389	#14524027	C₂³	1	4	yes	complemented
390	#14524027	C₂³	1	4	yes	complemented
391	#14524027	C₂³	1	4	yes	complemented
392	#14524027	C₂³	1	2	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	2	yes	complemented
398	#14524025	C₂³	1	4	yes	complemented
399	#14524025	C₂³	1	4	yes	complemented
400	#14524025	C₂³	1	4	yes	complemented
401	#14524025	C₂³	1	4	yes	complemented
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	2	yes	complemented
407	#14524025	C₂³	1	2	yes	complemented
408	#14524024	C₂³	1	4	yes	complemented
409	#14524024	C₂³	1	4	yes	complemented
410	#14524024	C₂³	1	4	yes	complemented
411	#14524024	C₂³	1	4	yes	complemented
412	#14524024	C₂³	1	2	yes	complemented
413	#14524023	C₂³	1	1	yes	characteristic
414	#14524023	C₂³	1	4	yes	—
415	#14524023	C₂³	1	2	yes	—
416	#14524023	C₂³	1	2	yes	—
417	#14524023	C₂³	1	2	yes	complemented
418	#14524023	C₂³	1	4	yes	complemented
419	#14524023	C₂³	1	4	yes	complemented
420	#14524023	C₂³	1	4	yes	complemented
421	#14524023	C₂³	1	4	yes	complemented
422	#14524023	C₂³	1	2	yes	complemented
423	#14524023	C₂³	1	4	yes	complemented
424	#14524023	C₂³	1	2	yes	complemented
425	#14524023	C₂³	1	1	yes	characteristic, complemented
426	#14524022	C₂³	1	1	yes	characteristic
427	#14524022	C₂³	1	4	yes	—
428	#14524022	C₂³	1	2	yes	—
429	#14524022	C₂³	1	2	yes	—
430	#14524022	C₂³	1	4	yes	complemented
431	#14524022	C₂³	1	2	yes	complemented
432	#14524022	C₂³	1	4	yes	complemented
433	#14524022	C₂³	1	4	yes	complemented
434	#14524022	C₂³	1	4	yes	complemented
435	#14524022	C₂³	1	2	yes	complemented
436	#14524022	C₂³	1	4	yes	complemented
437	#14524022	C₂³	1	2	yes	complemented
438	#14524022	C₂³	1	1	yes	characteristic, complemented
439	#14524021	C₂³	1	2	yes	—
440	#14524021	C₂³	1	4	yes	—
441	#14524021	C₂³	1	4	yes	—
442	#14524021	C₂³	1	4	yes	—
443	#14524021	C₂³	1	4	yes	—
444	#14524021	C₂³	1	4	yes	complemented
445	#14524021	C₂³	1	4	yes	complemented
446	#14524021	C₂³	1	4	yes	complemented
447	#14524021	C₂³	1	4	yes	complemented
448	#14524021	C₂³	1	4	yes	complemented
449	#14524021	C₂³	1	4	yes	complemented
450	#14524021	C₂³	1	4	yes	complemented
451	#14524021	C₂³	1	4	yes	complemented
452	#14524021	C₂³	1	4	yes	complemented
453	#14524021	C₂³	1	4	yes	complemented
454	#14524021	C₂³	1	4	yes	complemented
455	#14524021	C₂³	1	4	yes	complemented
456	#14524021	C₂³	1	4	yes	complemented
457	#14524021	C₂³	1	2	yes	complemented
458	#14524020	C₂³	1	2	yes	—
459	#14524020	C₂³	1	4	yes	—
460	#14524020	C₂³	1	4	yes	—
461	#14524020	C₂³	1	4	yes	—
462	#14524020	C₂³	1	4	yes	—
463	#14524020	C₂³	1	4	yes	complemented
464	#14524020	C₂³	1	4	yes	complemented
465	#14524020	C₂³	1	4	yes	complemented
466	#14524020	C₂³	1	4	yes	complemented
467	#14524020	C₂³	1	4	yes	complemented
468	#14524020	C₂³	1	4	yes	complemented
469	#14524020	C₂³	1	4	yes	complemented
470	#14524020	C₂³	1	4	yes	complemented
471	#14524020	C₂³	1	4	yes	complemented
472	#14524020	C₂³	1	4	yes	complemented
473	#14524020	C₂³	1	4	yes	complemented
474	#14524020	C₂³	1	4	yes	complemented
475	#14524020	C₂³	1	4	yes	complemented
476	#14524020	C₂³	1	2	yes	complemented
477	#14524019	C₂³	1	1	yes	characteristic
478	#14524019	C₂³	1	4	yes	—
479	#14524019	C₂³	1	2	yes	—
480	#14524019	C₂³	1	2	yes	—
481	#14524019	C₂³	1	4	yes	complemented
482	#14524019	C₂³	1	2	yes	complemented
483	#14524019	C₂³	1	4	yes	complemented
484	#14524019	C₂³	1	4	yes	complemented
485	#14524019	C₂³	1	4	yes	complemented
486	#14524019	C₂³	1	2	yes	complemented
487	#14524019	C₂³	1	4	yes	complemented
488	#14524019	C₂³	1	2	yes	complemented
489	#14524019	C₂³	1	1	yes	characteristic, complemented
490	#14524018	C₂³	1	2	yes	—
491	#14524018	C₂³	1	2	yes	—
492	#14524018	C₂³	1	2	yes	—
493	#14524018	C₂³	1	2	yes	—
494	#14524018	C₂³	1	1	yes	characteristic
495	#14524018	C₂³	1	4	yes	complemented
496	#14524018	C₂³	1	4	yes	complemented
497	#14524018	C₂³	1	4	yes	complemented
498	#14524018	C₂³	1	2	yes	complemented
499	#14524018	C₂³	1	4	yes	complemented
500	#14524018	C₂³	1	1	yes	characteristic, complemented
501	#14524018	C₂³	1	4	yes	complemented
502	#14524017	C₂³	1	2	yes	—
503	#14524017	C₂³	1	2	yes	—
504	#14524017	C₂³	1	2	yes	—
505	#14524017	C₂³	1	2	yes	—
506	#14524017	C₂³	1	1	yes	characteristic
507	#14524017	C₂³	1	2	yes	complemented
508	#14524017	C₂³	1	4	yes	complemented
509	#14524017	C₂³	1	4	yes	complemented
510	#14524017	C₂³	1	4	yes	complemented
511	#14524017	C₂³	1	4	yes	complemented
512	#14524017	C₂³	1	1	yes	characteristic, complemented
513	#14524017	C₂³	1	4	yes	complemented
514	#14524016	C₂³	1	4	yes	—
515	#14524016	C₂³	1	4	yes	—
516	#14524016	C₂³	1	4	yes	—
517	#14524016	C₂³	1	4	yes	—
518	#14524016	C₂³	1	2	yes	—
519	#14524016	C₂³	1	4	yes	complemented
520	#14524016	C₂³	1	4	yes	complemented
521	#14524016	C₂³	1	4	yes	complemented
522	#14524016	C₂³	1	4	yes	complemented
523	#14524016	C₂³	1	4	yes	complemented
524	#14524016	C₂³	1	4	yes	complemented
525	#14524016	C₂³	1	4	yes	complemented
526	#14524016	C₂³	1	4	yes	complemented
527	#14524016	C₂³	1	4	yes	complemented
528	#14524016	C₂³	1	2	yes	complemented
529	#14524016	C₂³	1	4	yes	complemented
530	#14524016	C₂³	1	4	yes	complemented
531	#14524015	C₂³	1	4	yes	—
532	#14524015	C₂³	1	4	yes	—
533	#14524015	C₂³	1	4	yes	—
534	#14524015	C₂³	1	4	yes	—
535	#14524015	C₂³	1	2	yes	—
536	#14524015	C₂³	1	4	yes	complemented
537	#14524015	C₂³	1	4	yes	complemented
538	#14524015	C₂³	1	4	yes	complemented
539	#14524015	C₂³	1	4	yes	complemented
540	#14524015	C₂³	1	4	yes	complemented
541	#14524015	C₂³	1	4	yes	complemented
542	#14524015	C₂³	1	4	yes	complemented
543	#14524015	C₂³	1	4	yes	complemented
544	#14524015	C₂³	1	4	yes	complemented
545	#14524015	C₂³	1	2	yes	complemented
546	#14524015	C₂³	1	4	yes	complemented
547	#14524015	C₂³	1	4	yes	complemented
548	#14524014	C₂³	1	2	yes	—
549	#14524014	C₂³	1	2	yes	—
550	#14524014	C₂³	1	2	yes	—
551	#14524014	C₂³	1	2	yes	—
552	#14524014	C₂³	1	1	yes	characteristic
553	#14524014	C₂³	1	4	yes	complemented
554	#14524014	C₂³	1	4	yes	complemented
555	#14524014	C₂³	1	4	yes	complemented
556	#14524014	C₂³	1	2	yes	complemented
557	#14524014	C₂³	1	4	yes	complemented
558	#14524014	C₂³	1	1	yes	characteristic, complemented
559	#14524014	C₂³	1	4	yes	complemented
560	#14524013	C₂³	1	2	yes	—
561	#14524013	C₂³	1	4	yes	—
562	#14524013	C₂³	1	2	yes	—
563	#14524013	C₂³	1	4	yes	—
564	#14524013	C₂³	1	4	yes	—
565	#14524013	C₂³	1	2	yes	—
566	#14524012	C₂³	1	2	yes	—
567	#14524012	C₂³	1	4	yes	—
568	#14524011	C₂³	1	2	yes	—
569	#14524011	C₂³	1	4	yes	—
570	#14524011	C₂³	1	2	yes	—
571	#14524011	C₂³	1	4	yes	—
572	#14524011	C₂³	1	4	yes	—
573	#14524011	C₂³	1	2	yes	—
574	Q₈×Dic₆₇	C₂³	1	2	yes	complemented
575	C₄×Dic₁₃₄	C₂³	1	4	yes	complemented
576	C₄×Dic₁₃₄	C₂³	1	2	yes	complemented
577	#14524008	C₂³	1	2	yes	complemented
578	#14524008	C₂³	1	4	yes	complemented
579	C₄×D₂₆₈	C₂³	1	4	yes	—
580	C₄×D₂₆₈	C₂³	1	2	yes	—
581	C₄×D₂₆₈	C₂³	1	2	yes	complemented
582	C₄×D₂₆₈	C₂³	1	4	yes	complemented
583	C₄×D₂₆₈	C₂³	1	2	yes	complemented
584	D₄×Dic₆₇	C₂³	1	4	yes	—
585	D₄×Dic₆₇	C₂³	1	2	yes	—
586	D₄×Dic₆₇	C₂³	1	2	yes	complemented
587	D₄×Dic₆₇	C₂³	1	4	yes	complemented
588	D₄×Dic₆₇	C₂³	1	2	yes	complemented
589	#14524005	C₂³	1	2	yes	—
590	#14524005	C₂³	1	4	yes	—
591	#14524005	C₂³	1	2	yes	complemented
592	#14524005	C₂³	1	4	yes	complemented
593	#14524005	C₂³	1	2	yes	complemented
594	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	—
595	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
596	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	—
597	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
598	C₄×C₂²⋊D₆₇	C₂³	1	4	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	2	yes	complemented
602	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	complemented
603	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	—
604	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
605	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	—
606	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
607	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
608	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
609	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
610	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	complemented
611	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	complemented
612	#14524002	C₂³	1	1	yes	characteristic, complemented
613	#14524001	C₂³	1	1	yes	characteristic, complemented
614	#14524001	C₂³	1	1	yes	characteristic, complemented
615	#14524000	C₂³	1	2	yes	complemented
616	#14523999	C₂³	1	2	yes	complemented
617	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
618	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic, complemented
619	C₂×C₄⋊Dic₆₇	C₂³	1	2	yes	complemented
620	C₂×C₄⋊Dic₆₇	C₂³	1	2	yes	complemented
621	C₂×Dic₆₇⋊C₄	C₂³	1	2	yes	—
622	C₂×Dic₆₇⋊C₄	C₂³	1	2	yes	complemented
623	C₂×Dic₆₇⋊C₄	C₂³	1	4	yes	complemented
624	C₂×Dic₆₇⋊C₄	C₂³	1	2	yes	complemented
625	C₂×Dic₆₇⋊C₄	C₂³	1	2	yes	complemented
626	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
627	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
628	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
629	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
630	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
631	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
632	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
633	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
634	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
635	C₄⋊C₄×D₆₇	C₂³	1	1	yes	characteristic
636	C₄⋊C₄×D₆₇	C₂³	1	1	yes	characteristic
637	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
638	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
639	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
640	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
641	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
642	C₄⋊C₄×D₆₇	C₂³	1	2	yes	complemented
643	C₄⋊C₄×D₆₇	C₂³	1	4	yes	complemented
644	C₄⋊C₄×D₆₇	C₂³	1	2	yes	complemented
645	C₄⋊C₄×D₆₇	C₂³	1	2	yes	complemented
646	C₄⋊C₄×D₆₇	C₂³	1	2	yes	complemented
647	C₄⋊C₄×D₆₇	C₂³	1	4	yes	complemented
648	C₄⋊C₄×D₆₇	C₂³	1	4	yes	complemented
649	C₂×C₂²⋊Dic₆₇	C₂³	1	4	yes	—
650	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	—
651	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	—
652	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	—
653	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	—
654	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
655	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
656	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
657	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
658	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
659	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
660	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
661	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
662	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
663	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
664	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
665	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
666	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
667	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
668	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
669	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
670	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
671	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
672	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
673	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
674	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
675	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
676	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
677	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
678	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
679	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
680	C₄²×D₆₇	C₂³	1	2	yes	—
681	C₄²×D₆₇	C₂³	1	4	yes	—
682	C₂×#41×C₆₇	C₂³	1	4	yes	complemented
683	C₂×#41×C₆₇	C₂³	1	2	yes	complemented
684	C₂×#41×C₆₇	C₂³	1	1	yes	characteristic, complemented
685	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic, complemented
686	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
687	C₂²×D₄×C₆₇	C₂³	1	2	yes	—
688	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
689	C₄⋊Q₈×C₆₇	C₂³	1	2	yes	complemented
690	#126×C₆₇	C₂³	1	4	yes	complemented
691	#125×C₆₇	C₂³	1	4	yes	complemented
692	#124×C₆₇	C₂³	1	4	yes	complemented
693	#124×C₆₇	C₂³	1	2	yes	complemented
694	#124×C₆₇	C₂³	1	4	yes	complemented
695	#123×C₆₇	C₂³	1	4	yes	complemented
696	#123×C₆₇	C₂³	1	4	yes	complemented
697	#123×C₆₇	C₂³	1	4	yes	complemented
698	#123×C₆₇	C₂³	1	4	yes	complemented
699	#123×C₆₇	C₂³	1	2	yes	complemented
700	C₂²⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
701	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	—
702	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
703	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
704	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	complemented
705	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	complemented
706	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	complemented
707	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	complemented
708	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	complemented
709	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	complemented
710	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	complemented
711	C₂²⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic, complemented
712	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	complemented
713	#121×C₆₇	C₂³	1	2	yes	—
714	#121×C₆₇	C₂³	1	2	yes	—
715	#121×C₆₇	C₂³	1	2	yes	—
716	#121×C₆₇	C₂³	1	2	yes	—
717	#121×C₆₇	C₂³	1	1	yes	characteristic
718	#121×C₆₇	C₂³	1	4	yes	complemented
719	#121×C₆₇	C₂³	1	4	yes	complemented
720	#121×C₆₇	C₂³	1	4	yes	complemented
721	#121×C₆₇	C₂³	1	2	yes	complemented
722	#121×C₆₇	C₂³	1	4	yes	complemented
723	#121×C₆₇	C₂³	1	1	yes	characteristic, complemented
724	#121×C₆₇	C₂³	1	4	yes	complemented
725	#120×C₆₇	C₂³	1	2	yes	—
726	#120×C₆₇	C₂³	1	4	yes	—
727	C₄×Q₈×C₆₇	C₂³	1	2	yes	complemented
728	C₄×D₄×C₆₇	C₂³	1	2	yes	—
729	C₄×D₄×C₆₇	C₂³	1	4	yes	—
730	C₄×D₄×C₆₇	C₂³	1	2	yes	complemented
731	C₄×D₄×C₆₇	C₂³	1	4	yes	complemented
732	C₄×D₄×C₆₇	C₂³	1	2	yes	complemented
733	#117×C₆₇	C₂³	1	1	yes	characteristic, complemented
734	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
735	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic, complemented
736	C₂×C₄⋊C₄×C₆₇	C₂³	1	2	yes	complemented
737	C₂×C₄⋊C₄×C₆₇	C₂³	1	2	yes	complemented
738	C₂×C₂²⋊C₄×C₆₇	C₂³	1	4	yes	—
739	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	—
740	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	—
741	C₂³×D₆₇	—	2	4	no	—
742	C₂³×D₆₇	—	2	4	no	—
743	C₂³×D₆₇	—	2	8	no	—
744	C₂³×D₆₇	—	4	2	no	—
745	C₂³×D₆₇	—	4	4	no	—
746	C₂³×D₆₇	—	4	4	no	—
747	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
748	C₂³×D₆₇	C₂⁴	1	4	yes	—
749	C₂³×D₆₇	C₂⁴	1	2	yes	—
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	1	yes	characteristic
754	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
755	C₂³×D₆₇	C₂⁴	1	4	yes	—
756	C₂³×D₆₇	C₂⁴	1	2	yes	—
757	#11761629	—	4	2	no	—
758	#11761629	—	4	8	no	—
759	#11761629	—	4	4	no	—
760	#11761628	—	4	8	no	—
761	#11761628	—	4	4	no	—
762	#11761628	—	4	4	no	—
763	#11761628	—	4	2	no	—
764	#11761628	—	4	8	no	—
765	#11761628	—	4	8	no	—
766	#11761628	—	4	8	no	—
767	#11761627	—	4	4	no	—
768	#11761627	—	4	8	no	—
769	#11761627	—	4	2	no	—
770	#11761627	—	4	4	no	—
771	#11761627	—	4	8	no	—
772	#11761627	—	4	8	no	—
773	#11761627	—	4	8	no	—
774	C₂×Dic₁₃₄	—	4	4	no	—
775	C₂×Dic₁₃₄	—	4	2	no	—
776	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
777	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
778	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
779	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
780	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
781	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
782	C₂×Dic₁₃₄	C₂⁴	1	1	yes	characteristic
783	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
784	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
785	Q₈×D₆₇	—	2	8	no	—
786	Q₈×D₆₇	—	4	4	no	—
787	Q₈×D₆₇	—	4	4	no	—
788	Q₈×D₆₇	—	4	4	no	—
789	Q₈×D₆₇	—	4	2	no	—
790	Q₈×D₆₇	—	4	8	no	—
791	C₂×D₂₆₈	—	4	2	no	—
792	C₂×D₂₆₈	—	4	4	no	—
793	C₂×D₂₆₈	C₂⁴	1	2	yes	—
794	C₂×D₂₆₈	C₂⁴	1	2	yes	—
795	C₂×D₂₆₈	C₂⁴	1	4	yes	—
796	C₂×D₂₆₈	C₂⁴	1	2	yes	—
797	C₂×D₂₆₈	C₂⁴	1	4	yes	—
798	C₂×D₂₆₈	C₂⁴	1	2	yes	—
799	C₂×D₂₆₈	C₂⁴	1	4	yes	—
800	C₂×D₂₆₈	C₂⁴	1	4	yes	—
801	C₂×D₂₆₈	C₂⁴	1	1	yes	characteristic
802	C₂×D₂₆₈	C₂⁴	1	2	yes	—
803	C₂×C₂²⋊D₆₇	—	4	4	no	—
804	C₂×C₂²⋊D₆₇	—	4	4	no	—
805	C₂×C₂²⋊D₆₇	—	4	4	no	—
806	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
807	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
808	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
809	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
810	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
811	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
812	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
813	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
814	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
815	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
816	C₂×C₂²⋊D₆₇	C₂⁴	1	2	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	4	yes	—
822	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
823	D₄×D₆₇	—	2	16	no	—
824	D₄×D₆₇	—	2	8	no	—
825	D₄×D₆₇	—	2	8	no	—
826	D₄×D₆₇	—	2	8	no	—
827	D₄×D₆₇	—	4	4	no	—
828	D₄×D₆₇	—	4	4	no	—
829	D₄×D₆₇	—	4	4	no	—
830	D₄×D₆₇	—	4	8	no	—
831	D₄×D₆₇	—	4	4	no	—
832	D₄×D₆₇	—	4	2	no	—
833	D₄×D₆₇	—	4	8	no	—
834	D₄×D₆₇	—	4	8	no	—
835	D₄×D₆₇	—	4	8	no	—
836	D₄×D₆₇	—	4	8	no	—
837	C₂²×Dic₆₇	—	4	2	no	—
838	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
839	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
840	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
841	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
842	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
843	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
844	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
845	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
846	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
847	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
848	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
849	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
850	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
851	C₂×C₄×D₆₇	—	2	8	no	—
852	C₂×C₄×D₆₇	—	2	4	no	—
853	C₂×C₄×D₆₇	—	2	4	no	—
854	C₂×C₄×D₆₇	—	2	4	no	—
855	C₂×C₄×D₆₇	—	2	8	no	—
856	C₂×C₄×D₆₇	—	4	2	no	—
857	C₂×C₄×D₆₇	—	4	2	no	—
858	C₂×C₄×D₆₇	—	4	2	no	—
859	C₂×C₄×D₆₇	—	4	2	no	—
860	C₂×C₄×D₆₇	—	4	2	no	—
861	C₂×C₄×D₆₇	—	4	2	no	—
862	C₂×C₄×D₆₇	—	4	2	no	—
863	C₂×C₄×D₆₇	—	4	2	no	—
864	C₂×C₄×D₆₇	—	4	2	no	—
865	C₂×C₄×D₆₇	—	4	4	no	—
866	C₂×C₄×D₆₇	—	4	4	no	—
867	C₂×C₄×D₆₇	—	4	8	no	—
868	C₂×C₄×D₆₇	—	4	8	no	—
869	C₂×C₄×D₆₇	—	4	8	no	—
870	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
871	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
872	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
873	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
874	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
875	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
876	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
877	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
878	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
879	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
880	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
881	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
882	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
883	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
884	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
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	4	yes	—
896	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
897	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
898	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
899	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
900	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
901	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
902	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
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	4	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	1	yes	characteristic
911	C₄⋊Dic₆₇	C₂⁴	1	1	yes	characteristic
912	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
913	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
914	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
915	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
916	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
917	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
918	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
919	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
920	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
921	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
922	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
923	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
924	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
925	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
926	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
927	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
928	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
929	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
930	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
931	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
932	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
933	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
934	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
935	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
936	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
937	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
938	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
939	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
940	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
941	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
942	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
943	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
944	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
945	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
946	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
947	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
948	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
949	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
950	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
951	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
952	C₂²⋊Dic₆₇	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	2	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	4	yes	—
962	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
963	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
964	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
965	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
966	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
967	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
968	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	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	4	yes	—
973	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
974	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
975	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
976	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
977	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
978	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
979	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
980	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
981	C₄×Dic₆₇	C₂⁴	1	2	yes	—
982	C₄×Dic₆₇	C₂⁴	1	2	yes	—
983	C₄×Dic₆₇	C₂⁴	1	2	yes	—
984	C₄×Dic₆₇	C₂⁴	1	4	yes	—
985	C₄×Dic₆₇	C₂⁴	1	4	yes	—
986	C₄×Dic₆₇	C₂⁴	1	4	yes	—
987	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
988	C₂⁴×C₆₇	C₂⁴	1	2	yes	—
989	#41×C₆₇	—	4	2	no	—
990	#41×C₆₇	—	4	8	no	—
991	#41×C₆₇	—	4	4	no	—
992	C₂×Q₈×C₆₇	—	4	2	no	—
993	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
994	C₂×Q₈×C₆₇	C₂⁴	1	1	yes	characteristic
995	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
996	C₂×Q₈×C₆₇	C₂⁴	1	4	yes	—
997	C₂×D₄×C₆₇	—	4	2	no	—
998	C₂×D₄×C₆₇	—	4	4	no	—
999	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
1000	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
1001	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
1002	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
1003	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
1004	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
1005	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
1006	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
1007	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
1008	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
1009	C₂²×C₄×C₆₇	—	4	2	no	—
1010	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
1011	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1012	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
1013	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1014	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1015	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1016	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
1017	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
1018	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
1019	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
1020	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1021	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
1022	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1023	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1024	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1025	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1026	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1027	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1028	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1029	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1030	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1031	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1032	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1033	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1034	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1035	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1036	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1037	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1038	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1039	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1040	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1041	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1042	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1043	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1044	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1045	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1046	C₂²⋊C₄×C₆₇	C₂⁴	1	4	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	C₄²×C₆₇	C₂⁴	1	2	yes	—
1052	C₄²×C₆₇	C₂⁴	1	4	yes	—
1053	C₂³×C₆₇	—	2	2	no	—
1054	C₂³×C₆₇	—	2	2	no	—
1055	C₂³×C₆₇	—	2	4	no	—
1056	C₂³×C₆₇	—	4	1	no	—
1057	C₂³×C₆₇	—	4	2	no	—
1058	C₂³×C₆₇	—	4	2	no	—
1059	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
1060	C₂³×C₆₇	C₂⁵	1	4	yes	—
1061	C₂³×C₆₇	C₂⁵	1	2	yes	—
1062	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
1063	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
1064	C₂²×D₆₇	—	2	2	no	—
1065	C₂²×D₆₇	—	2	2	no	—
1066	C₂²×D₆₇	—	2	2	no	—
1067	C₂²×D₆₇	—	2	2	no	—
1068	C₂²×D₆₇	—	2	2	no	—
1069	C₂²×D₆₇	—	2	2	no	—
1070	C₂²×D₆₇	—	2	4	no	—
1071	C₂²×D₆₇	—	2	2	no	—
1072	C₂²×D₆₇	—	2	4	no	—
1073	C₂²×D₆₇	—	2	4	no	—
1074	C₂²×D₆₇	—	2	8	no	—
1075	C₂²×D₆₇	—	2	8	no	—
1076	C₂²×D₆₇	—	2	2	no	—
1077	C₂²×D₆₇	—	2	2	no	—
1078	C₂²×D₆₇	—	2	2	no	—
1079	C₂²×D₆₇	—	2	4	no	—
1080	C₂²×D₆₇	—	2	2	no	—
1081	C₂²×D₆₇	—	2	2	no	—
1082	C₂²×D₆₇	—	2	2	no	—
1083	C₂²×D₆₇	—	2	8	no	—
1084	C₂²×D₆₇	—	2	8	no	—
1085	C₂²×D₆₇	—	4	1	no	—
1086	C₂²×D₆₇	—	4	1	no	—
1087	C₂²×D₆₇	—	4	1	no	—
1088	C₂²×D₆₇	—	4	16	no	—
1089	C₂²×D₆₇	—	4	4	no	—
1090	C₂²×D₆₇	—	4	4	no	—
1091	C₂²×D₆₇	—	4	2	no	—
1092	C₂²×D₆₇	—	4	2	no	—
1093	C₂²×D₆₇	—	8	16	no	—
1094	C₂²×D₆₇	H(5,𝔽₂)	1	4	yes	—
1095	C₂²×D₆₇	2₋¹⁺⁴	1	4	yes	—
1096	C₂²×D₆₇	C₂⁵	1	1	yes	characteristic
1097	C₂²×D₆₇	C₂⁵	1	4	yes	—
1098	C₂²×D₆₇	C₂⁵	1	2	yes	—
1099	C₂²×D₆₇	C₂⁵	1	1	yes	characteristic
1100	C₂²×D₆₇	C₂⁵	1	1	yes	characteristic
1101	C₂²×D₆₇	C₂⁵	1	1	yes	characteristic
1102	Q₈×C₆₇	—	2	4	no	—
1103	Q₈×C₆₇	—	4	2	no	—
1104	Q₈×C₆₇	—	4	4	no	—
1105	Q₈×C₆₇	—	4	1	no	—
1106	D₄×C₆₇	—	2	8	no	—
1107	D₄×C₆₇	—	2	4	no	—
1108	D₄×C₆₇	—	2	4	no	—
1109	D₄×C₆₇	—	2	4	no	—
1110	D₄×C₆₇	—	4	4	no	—
1111	D₄×C₆₇	—	4	2	no	—
1112	D₄×C₆₇	—	4	4	no	—
1113	D₄×C₆₇	—	4	2	no	—
1114	D₄×C₆₇	—	4	1	no	—
1115	D₄×C₆₇	—	4	4	no	—
1116	C₂×C₄×C₆₇	—	2	4	no	—
1117	C₂×C₄×C₆₇	—	2	2	no	—
1118	C₂×C₄×C₆₇	—	2	2	no	—
1119	C₂×C₄×C₆₇	—	2	2	no	—
1120	C₂×C₄×C₆₇	—	2	4	no	—
1121	C₂×C₄×C₆₇	—	4	1	no	—
1122	C₂×C₄×C₆₇	—	4	1	no	—
1123	C₂×C₄×C₆₇	—	4	1	no	—
1124	C₂×C₄×C₆₇	—	4	2	no	—
1125	C₂×C₄×C₆₇	—	4	2	no	—
1126	C₂×C₄×C₆₇	—	4	4	no	—
1127	C₂×C₄×C₆₇	—	4	4	no	—
1128	C₂×C₄×C₆₇	—	4	4	no	—
1129	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
1130	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
1131	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
1132	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
1133	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1134	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
1135	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
1136	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1137	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1138	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1139	C₂²⋊D₆₇	—	2	8	no	—
1140	C₂²⋊D₆₇	—	2	4	no	—
1141	C₂²⋊D₆₇	—	2	4	no	—
1142	C₂²⋊D₆₇	—	2	8	no	—
1143	C₂²⋊D₆₇	—	2	4	no	—
1144	C₂²⋊D₆₇	—	2	4	no	—
1145	C₂²⋊D₆₇	—	2	8	no	—
1146	C₂²⋊D₆₇	—	4	4	no	—
1147	C₂²⋊D₆₇	—	4	4	no	—
1148	C₂²⋊D₆₇	—	4	4	no	—
1149	C₂²⋊D₆₇	—	4	4	no	—
1150	C₂²⋊D₆₇	—	4	4	no	—
1151	C₂²⋊D₆₇	—	4	2	no	—
1152	C₂²⋊D₆₇	—	4	2	no	—
1153	C₂²⋊D₆₇	—	4	2	no	—
1154	C₂²⋊D₆₇	—	4	4	no	—
1155	C₂²⋊D₆₇	—	4	4	no	—
1156	C₂×Dic₆₇	—	2	4	no	—
1157	C₂×Dic₆₇	—	2	2	no	—
1158	C₂×Dic₆₇	—	2	2	no	—
1159	C₂×Dic₆₇	—	2	2	no	—
1160	C₂×Dic₆₇	—	2	4	no	—
1161	C₂×Dic₆₇	—	4	1	no	—
1162	C₂×Dic₆₇	—	4	1	no	—
1163	C₂×Dic₆₇	—	4	1	no	—
1164	C₂×Dic₆₇	—	4	2	no	—
1165	C₂×Dic₆₇	—	4	2	no	—
1166	C₂×Dic₆₇	—	4	4	no	—
1167	C₂×Dic₆₇	—	4	4	no	—
1168	C₂×Dic₆₇	—	4	4	no	—
1169	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1170	C₂×Dic₆₇	C₂⁵	1	4	yes	—
1171	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1172	C₂×Dic₆₇	C₂⁵	1	4	yes	—
1173	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1174	C₂×Dic₆₇	C₂⁵	1	4	yes	—
1175	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1176	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1177	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1178	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1179	D₂₆₈	—	2	8	no	—
1180	D₂₆₈	—	2	4	no	—
1181	D₂₆₈	—	2	4	no	—
1182	D₂₆₈	—	2	4	no	—
1183	D₂₆₈	—	4	4	no	—
1184	D₂₆₈	—	4	2	no	—
1185	D₂₆₈	—	4	4	no	—
1186	D₂₆₈	—	4	2	no	—
1187	D₂₆₈	—	4	1	no	—
1188	D₂₆₈	—	4	4	no	—
1189	C₄×D₆₇	—	2	2	no	—
1190	C₄×D₆₇	—	2	8	no	—
1191	C₄×D₆₇	—	2	2	no	—
1192	C₄×D₆₇	—	2	4	no	—
1193	C₄×D₆₇	—	2	2	no	—
1194	C₄×D₆₇	—	2	8	no	—
1195	C₄×D₆₇	—	2	8	no	—
1196	C₄×D₆₇	—	2	4	no	—
1197	C₄×D₆₇	—	2	8	no	—
1198	C₄×D₆₇	—	2	4	no	—
1199	C₄×D₆₇	—	2	2	no	—
1200	C₄×D₆₇	—	2	2	no	—
1201	C₄×D₆₇	—	2	2	no	—
1202	C₄×D₆₇	—	2	4	no	—
1203	C₄×D₆₇	—	2	2	no	—
1204	C₄×D₆₇	—	2	2	no	—
1205	C₄×D₆₇	—	2	2	no	—
1206	C₄×D₆₇	—	2	4	no	—
1207	C₄×D₆₇	—	4	1	no	—
1208	C₄×D₆₇	—	4	1	no	—
1209	C₄×D₆₇	—	4	1	no	—
1210	C₄×D₆₇	—	4	1	no	—
1211	C₄×D₆₇	—	4	1	no	—
1212	C₄×D₆₇	—	4	1	no	—
1213	C₄×D₆₇	—	4	4	no	—
1214	C₄×D₆₇	—	4	4	no	—
1215	C₄×D₆₇	—	4	4	no	—
1216	C₄×D₆₇	—	4	4	no	—
1217	C₄×D₆₇	—	4	4	no	—
1218	C₄×D₆₇	—	4	4	no	—
1219	C₄×D₆₇	—	4	4	no	—
1220	C₄×D₆₇	—	4	4	no	—
1221	C₄×D₆₇	H(5,𝔽₂)	1	4	yes	—
1222	Dic₁₃₄	—	2	4	no	—
1223	Dic₁₃₄	—	2	8	no	—
1224	Dic₁₃₄	—	4	2	no	—
1225	Dic₁₃₄	—	4	4	no	—
1226	Dic₁₃₄	—	4	4	no	—
1227	Dic₁₃₄	—	4	4	no	—
1228	Dic₁₃₄	—	4	2	no	—
1229	Dic₁₃₄	—	4	1	no	—
1230	Dic₁₃₄	—	4	4	no	—
1231	C₂²×C₆₇	—	2	1	no	—
1232	C₂²×C₆₇	—	2	1	no	—
1233	C₂²×C₆₇	—	2	1	no	—
1234	C₂²×C₆₇	—	2	1	no	—
1235	C₂²×C₆₇	—	2	1	no	—
1236	C₂²×C₆₇	—	2	2	no	—
1237	C₂²×C₆₇	—	2	2	no	—
1238	C₂²×C₆₇	—	2	4	no	—
1239	C₂²×C₆₇	—	2	4	no	—
1240	C₂²×C₆₇	—	2	1	no	—
1241	C₂²×C₆₇	—	2	2	no	—
1242	C₂²×C₆₇	—	2	1	no	—
1243	C₂²×C₆₇	—	2	4	no	—
1244	C₂²×C₆₇	—	4	4	no	—
1245	C₂²×C₆₇	—	8	4	no	—
1246	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1247	C₂²×C₆₇	C₂×2₋¹⁺⁴	1	2	yes	—
1248	C₂²×C₆₇	C₂⁶	1	1	yes	characteristic
1249	C₂×D₆₇	—	2	1	no	—
1250	C₂×D₆₇	—	2	1	no	—
1251	C₂×D₆₇	—	2	1	no	—
1252	C₂×D₆₇	—	2	1	no	—
1253	C₂×D₆₇	—	2	8	no	—
1254	C₂×D₆₇	—	2	8	no	—
1255	C₂×D₆₇	—	2	1	no	—
1256	C₂×D₆₇	—	2	2	no	—
1257	C₂×D₆₇	—	2	2	no	—
1258	C₂×D₆₇	—	2	4	no	—
1259	C₂×D₆₇	—	2	4	no	—
1260	C₂×D₆₇	—	2	1	no	—
1261	C₂×D₆₇	—	2	2	no	—
1262	C₂×D₆₇	—	2	1	no	—
1263	C₂×D₆₇	—	2	4	no	—
1264	C₂×D₆₇	—	4	4	no	—
1265	C₂×D₆₇	—	4	4	no	—
1266	C₂×D₆₇	—	4	4	no	—
1267	C₂×D₆₇	—	4	8	no	—
1268	C₂×D₆₇	—	4	4	no	—
1269	C₂×D₆₇	—	4	16	no	—
1270	C₂×D₆₇	—	8	8	no	—
1271	C₂×D₆₇	—	8	4	no	—
1272	C₂×D₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1273	C₂×D₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1274	C₂×D₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1275	C₂×D₆₇	C₂×2₋¹⁺⁴	1	2	yes	—
1276	C₂×D₆₇	C₂×2₋¹⁺⁴	1	2	yes	—
1277	C₄×C₆₇	—	2	4	no	—
1278	C₄×C₆₇	—	2	1	no	—
1279	C₄×C₆₇	—	2	2	no	—
1280	C₄×C₆₇	—	2	4	no	—
1281	C₄×C₆₇	—	2	1	no	—
1282	C₄×C₆₇	—	2	2	no	—
1283	C₄×C₆₇	—	2	4	no	—
1284	C₄×C₆₇	—	2	1	no	—
1285	C₄×C₆₇	—	2	2	no	—
1286	C₄×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1287	Dic₆₇	—	2	4	no	—
1288	Dic₆₇	—	2	1	no	—
1289	Dic₆₇	—	2	2	no	—
1290	Dic₆₇	—	2	4	no	—
1291	Dic₆₇	—	2	1	no	—
1292	Dic₆₇	—	2	2	no	—
1293	Dic₆₇	—	2	4	no	—
1294	Dic₆₇	—	2	1	no	—
1295	Dic₆₇	—	2	2	no	—
1296	Dic₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1297	C₂×#3536	—	67	1	no	maximal, Sylow
1298	C₂×C₆₇	—	2	2	no	—
1299	C₂×C₆₇	—	2	2	no	—
1300	C₂×C₆₇	—	4	1	no	—
1301	C₂×C₆₇	—	4	4	no	—
1302	C₂×C₆₇	—	4	2	no	—
1303	C₂×C₆₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1304	C₂×C₆₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1305	C₂×C₆₇	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1306	D₆₇	—	2	2	no	—
1307	D₆₇	—	2	2	no	—
1308	D₆₇	—	4	2	no	—
1309	D₆₇	—	4	1	no	—
1310	D₆₇	—	4	4	no	—
1311	D₆₇	#3536	1	4	yes	direct product factor
1312	#3536	—	67	4	no	—
1313	#3536	—	67	2	no	—
1314	#3536	—	67	2	no	—
1315	#3536	—	67	2	no	—
1316	#3536	—	67	4	no	—
1317	#3536	—	67	2	no	—
1318	#3536	—	67	2	no	—
1319	#3536	—	67	2	no	—
1320	#3536	—	67	2	no	—
1321	#3536	—	67	2	no	—
1322	#3536	—	67	2	no	—
1323	#3536	—	67	2	no	—
1324	#3536	—	67	1	no	—
1325	#3536	—	67	1	no	—
1326	#3536	—	67	1	no	—
1327	#3536	D₆₇	1	1	yes	characteristic, direct product factor
1328	C₂×#562	—	67	4	no	—
1329	C₂×#554	—	67	2	no	—
1330	C₂×#548	—	67	2	no	—
1331	C₂×#547	—	67	2	no	—
1332	C₂×#546	—	67	4	no	—
1333	C₂×#546	—	67	2	no	—
1334	C₂×#543	—	67	2	no	—
1335	C₂×#542	—	67	2	no	—
1336	C₂×#539	—	67	2	no	—
1337	C₂×#538	—	67	2	no	—
1338	C₂×#537	—	67	2	no	—
1339	C₂×#537	—	67	2	no	—
1340	C₂×#525	—	67	1	no	—
1341	C₂²×C₂²⋊Q₈	—	67	1	no	—
1342	C₂²×#121	—	67	1	no	—
1343	C₆₇	C₂×#3536	1	1	yes	characteristic, complemented, Sylow
1344	C₂²×#41	—	67	1	no	—
1345	C₂²×#41	—	67	4	no	—
1346	C₂²×#41	—	67	2	no	—
1347	C₂³×Q₈	—	67	1	no	—
1348	C₂³×D₄	—	67	2	no	—
1349	C₂³×D₄	—	67	1	no	—
1350	C₂⁴×C₄	—	67	1	no	—
1351	#562	—	67	4	no	—
1352	#562	—	67	4	no	—
1353	#562	—	67	4	no	—
1354	#562	—	67	4	no	—
1355	#562	—	67	4	no	—
1356	#562	—	67	4	no	—
1357	#562	—	67	4	no	—
1358	#562	—	67	4	no	—
1359	#562	—	67	4	no	—
1360	#562	—	67	4	no	—
1361	#562	—	67	4	no	—
1362	#562	—	67	4	no	—
1363	#562	—	67	4	no	—
1364	#562	—	67	4	no	—
1365	#562	—	67	4	no	—
1366	#562	C₂×D₆₇	1	4	yes	complemented
1367	#554	—	67	2	no	—
1368	#554	—	67	4	no	—
1369	#554	—	67	4	no	—
1370	#554	—	67	2	no	—
1371	#554	—	67	4	no	—
1372	#554	—	67	2	no	—
1373	#554	—	67	2	no	—
1374	#554	—	67	2	no	—
1375	#554	—	67	4	no	—
1376	#554	—	67	2	no	—
1377	#554	—	67	2	no	—
1378	#554	C₂×D₆₇	1	2	yes	complemented
1379	#548	—	67	2	no	—
1380	#548	—	67	2	no	—
1381	#548	—	67	4	no	—
1382	#548	—	67	2	no	—
1383	#548	—	67	2	no	—
1384	#548	—	67	4	no	—
1385	#548	—	67	2	no	—
1386	#548	—	67	4	no	—
1387	#548	—	67	2	no	—
1388	#548	—	67	4	no	—
1389	#548	—	67	2	no	—
1390	#548	C₂×D₆₇	1	2	yes	complemented
1391	#547	—	67	4	no	—
1392	#547	—	67	2	no	—
1393	#547	—	67	4	no	—
1394	#547	—	67	4	no	—
1395	#547	—	67	4	no	—
1396	#547	—	67	2	no	—
1397	#547	—	67	2	no	—
1398	#547	—	67	2	no	—
1399	#547	—	67	2	no	—
1400	#547	—	67	2	no	—
1401	#547	—	67	2	no	—
1402	#547	C₂×D₆₇	1	2	yes	complemented
1403	#546	—	67	4	no	—
1404	#546	—	67	2	no	—
1405	#546	—	67	4	no	—
1406	#546	—	67	2	no	—
1407	#546	—	67	4	no	—
1408	#546	—	67	2	no	—
1409	#546	—	67	4	no	—
1410	#546	—	67	4	no	—
1411	#546	—	67	4	no	—
1412	#546	—	67	4	no	—
1413	#546	—	67	2	no	—
1414	#546	—	67	4	no	—
1415	#546	—	67	4	no	—
1416	#546	—	67	4	no	—
1417	#546	—	67	4	no	—
1418	#546	—	67	2	no	—
1419	#546	—	67	4	no	—
1420	#546	—	67	4	no	—
1421	#546	—	67	4	no	—
1422	#546	—	67	4	no	—
1423	#546	—	67	2	no	—
1424	#546	—	67	4	no	—
1425	#546	—	67	2	no	—
1426	#546	—	67	4	no	—
1427	#546	—	67	4	no	—
1428	#546	—	67	4	no	—
1429	#546	C₂×D₆₇	1	4	yes	complemented
1430	#546	C₂×D₆₇	1	2	yes	complemented
1431	#543	—	67	2	no	—
1432	#543	—	67	4	no	—
1433	#543	—	67	2	no	—
1434	#543	—	67	4	no	—
1435	#543	—	67	4	no	—
1436	#543	—	67	4	no	—
1437	#543	—	67	4	no	—
1438	#543	—	67	4	no	—
1439	#543	—	67	2	no	—
1440	#543	C₂×D₆₇	1	2	yes	complemented
1441	#542	—	67	2	no	—
1442	#542	—	67	4	no	—
1443	#542	—	67	4	no	—
1444	#542	—	67	2	no	—
1445	#542	—	67	4	no	—
1446	#542	—	67	4	no	—
1447	#542	—	67	2	no	—
1448	#542	—	67	2	no	—
1449	#542	—	67	2	no	—
1450	#542	—	67	2	no	—
1451	#542	—	67	2	no	—
1452	#542	C₂×D₆₇	1	2	yes	complemented
1453	#539	—	67	4	no	—
1454	#539	—	67	4	no	—
1455	#539	—	67	4	no	—
1456	#539	—	67	4	no	—
1457	#539	—	67	4	no	—
1458	#539	—	67	2	no	—
1459	#539	—	67	2	no	—
1460	#539	—	67	4	no	—
1461	#539	—	67	2	no	—
1462	#539	C₂×D₆₇	1	2	yes	complemented
1463	#538	—	67	4	no	—
1464	#538	—	67	4	no	—
1465	#538	—	67	4	no	—
1466	#538	—	67	2	no	—
1467	#538	—	67	2	no	—
1468	#538	—	67	4	no	—
1469	#538	—	67	4	no	—
1470	#538	—	67	4	no	—
1471	#538	—	67	2	no	—
1472	#538	C₂×D₆₇	1	2	yes	complemented
1473	#537	—	67	4	no	—
1474	#537	—	67	2	no	—
1475	#537	—	67	2	no	—
1476	#537	—	67	4	no	—
1477	#537	—	67	4	no	—
1478	#537	—	67	2	no	—
1479	#537	—	67	2	no	—
1480	#537	—	67	4	no	—
1481	#537	—	67	2	no	—
1482	#537	—	67	2	no	—
1483	#537	—	67	4	no	—
1484	#537	—	67	2	no	—
1485	#537	—	67	4	no	—
1486	#537	—	67	4	no	—
1487	#537	—	67	4	no	—
1488	#537	—	67	4	no	—
1489	#537	—	67	2	no	—
1490	#537	—	67	4	no	—
1491	#537	—	67	2	no	—
1492	#537	—	67	2	no	—
1493	#537	C₂×D₆₇	1	2	yes	complemented
1494	#537	C₂×D₆₇	1	2	yes	complemented
1495	C₂×C₄⋊Q₈	—	67	2	no	—
1496	C₂×#126	—	67	4	no	—
1497	C₂×#125	—	67	4	no	—
1498	C₂×#124	—	67	4	no	—
1499	C₂×#124	—	67	2	no	—
1500	C₂×#124	—	67	4	no	—
1501	#525	—	67	1	no	—
1502	#525	—	67	1	no	—
1503	#525	—	67	2	no	—
1504	#525	—	67	1	no	—
1505	#525	—	67	1	no	—
1506	#525	—	67	1	no	—
1507	#525	—	67	1	no	—
1508	#525	—	67	2	no	—
1509	#525	—	67	2	no	—
1510	#525	—	67	2	no	—
1511	#525	—	67	1	no	—
1512	#525	C₂×D₆₇	1	1	yes	characteristic, complemented
1513	C₂×#123	—	67	2	no	—
1514	C₂×#123	—	67	4	no	—
1515	C₂×#123	—	67	4	no	—
1516	C₂×#123	—	67	4	no	—
1517	C₂×#123	—	67	4	no	—
1518	C₂×C₂²⋊Q₈	—	67	1	no	—
1519	C₂×C₂²⋊Q₈	—	67	1	no	—
1520	C₂×C₂²⋊Q₈	—	67	2	no	—
1521	C₂×C₂²⋊Q₈	—	67	2	no	—
1522	C₂×C₂²⋊Q₈	—	67	2	no	—
1523	C₂×C₂²⋊Q₈	—	67	2	no	—
1524	C₂×C₂²⋊Q₈	—	67	1	no	—
1525	C₂×C₂²⋊Q₈	—	67	4	no	—
1526	C₂×C₂²⋊Q₈	—	67	2	no	—
1527	C₂×C₂²⋊Q₈	—	67	2	no	—
1528	C₂×C₂²⋊Q₈	—	67	2	no	—
1529	C₂×C₂²⋊Q₈	—	67	2	no	—
1530	C₂×C₂²⋊Q₈	—	67	1	no	—
1531	C₂×C₂²⋊Q₈	—	67	4	no	—
1532	C₂×C₂²⋊Q₈	—	67	4	no	—
1533	C₂×C₂²⋊Q₈	—	67	2	no	—
1534	C₂×C₂²⋊Q₈	—	67	4	no	—
1535	C₂×C₂²⋊Q₈	—	67	4	no	—
1536	C₂×C₂²⋊Q₈	—	67	4	no	—
1537	C₂×C₂²⋊Q₈	—	67	2	no	—
1538	C₂×C₂²⋊Q₈	—	67	1	no	—
1539	C₂×C₂²⋊Q₈	—	67	2	no	—
1540	C₂×C₂²⋊Q₈	C₂×D₆₇	1	1	yes	characteristic, complemented
1541	C₂×#121	—	67	1	no	—
1542	C₂×#121	—	67	2	no	—
1543	C₂×#121	—	67	1	no	—
1544	C₂×#121	—	67	2	no	—
1545	C₂×#121	—	67	2	no	—
1546	C₂×#121	—	67	2	no	—
1547	C₂×#121	—	67	2	no	—
1548	C₂×#121	—	67	2	no	—
1549	C₂×#121	—	67	2	no	—
1550	C₂×#121	—	67	2	no	—
1551	C₂×#121	—	67	2	no	—
1552	C₂×#121	—	67	1	no	—
1553	C₂×#121	—	67	1	no	—
1554	C₂×#121	—	67	4	no	—
1555	C₂×#121	—	67	2	no	—
1556	C₂×#121	—	67	4	no	—
1557	C₂×#121	—	67	4	no	—
1558	C₂×#121	—	67	4	no	—
1559	C₂×#121	—	67	4	no	—
1560	C₂×#121	—	67	1	no	—
1561	C₂×#121	—	67	2	no	—
1562	C₂×#121	C₂×D₆₇	1	1	yes	characteristic, complemented
1563	C₂×#120	—	67	2	no	—
1564	C₂×#120	—	67	4	no	—
1565	C₂×C₄×Q₈	—	67	2	no	—
1566	C₂×C₄×D₄	—	67	2	no	—
1567	C₂×C₄×D₄	—	67	4	no	—
1568	C₂×C₄×D₄	—	67	2	no	—
1569	C₂×C₄×D₄	—	67	4	no	—
1570	C₂×C₄×D₄	—	67	2	no	—
1571	C₂×#117	—	67	1	no	—
1572	C₂²×C₄⋊C₄	—	67	1	no	—
1573	C₂²×C₄⋊C₄	—	67	2	no	—
1574	C₂²×C₄⋊C₄	—	67	1	no	—
1575	C₂²×C₄⋊C₄	—	67	2	no	—
1576	C₂²×C₂²⋊C₄	—	67	2	no	—
1577	C₂²×C₂²⋊C₄	—	67	2	no	—
1578	C₂²×C₂²⋊C₄	—	67	4	no	—
1579	C₂⁵	—	67	2	no	—
1580	C₂⁵	—	67	1	no	—
1581	C₂×#41	—	268	8	no	—
1582	C₂×#41	—	268	16	no	—
1583	C₂×#41	—	268	4	no	—
1584	C₂×#41	—	67	1	no	—
1585	C₂×#41	—	67	4	no	—
1586	C₂×#41	—	67	2	no	—
1587	C₂×#41	—	67	1	no	—
1588	C₂×#41	—	67	2	no	—
1589	C₂×#41	—	67	4	no	—
1590	C₂×#41	—	67	4	no	—
1591	C₂×#41	—	67	4	no	—
1592	C₂×#41	—	67	2	no	—
1593	C₂×#41	—	67	4	no	—
1594	C₂×#41	—	67	1	no	—
1595	C₂×#41	—	67	2	no	—
1596	C₂×#41	—	67	4	no	—
1597	C₂×#41	—	67	4	no	—
1598	C₂×#41	—	67	4	no	—
1599	C₂×#41	—	67	2	no	—
1600	C₂×#41	—	67	4	no	—
1601	C₂×#41	C₂²×D₆₇	1	1	yes	characteristic, complemented
1602	C₂×#41	C₂²×D₆₇	1	4	yes	complemented
1603	C₂×#41	C₂²×D₆₇	1	2	yes	complemented
1604	C₂²×Q₈	—	268	4	no	—
1605	C₂²×Q₈	—	67	1	no	—
1606	C₂²×Q₈	—	67	2	no	—
1607	C₂²×Q₈	—	67	4	no	—
1608	C₂²×Q₈	—	67	2	no	—
1609	C₂²×Q₈	—	67	2	no	—
1610	C₂²×Q₈	—	67	2	no	—
1611	C₂²×Q₈	—	67	1	no	—
1612	C₂²×Q₈	—	67	2	no	—
1613	C₂²×Q₈	C₂²×D₆₇	1	1	yes	characteristic, complemented
1614	C₂²×D₄	—	268	8	no	—
1615	C₂²×D₄	—	268	4	no	—
1616	C₂²×D₄	—	67	2	no	—
1617	C₂²×D₄	—	67	2	no	—
1618	C₂²×D₄	—	67	2	no	—
1619	C₂²×D₄	—	67	2	no	—
1620	C₂²×D₄	—	67	4	no	—
1621	C₂²×D₄	—	67	4	no	—
1622	C₂²×D₄	—	67	1	no	—
1623	C₂²×D₄	—	67	2	no	—
1624	C₂²×D₄	—	67	4	no	—
1625	C₂²×D₄	—	67	4	no	—
1626	C₂²×D₄	—	67	4	no	—
1627	C₂²×D₄	—	67	2	no	—
1628	C₂²×D₄	—	67	2	no	—
1629	C₂²×D₄	—	67	2	no	—
1630	C₂²×D₄	—	67	2	no	—
1631	C₂²×D₄	—	67	4	no	—
1632	C₂²×D₄	—	67	2	no	—
1633	C₂²×D₄	—	67	1	no	—
1634	C₂²×D₄	—	67	2	no	—
1635	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1636	C₂²×D₄	C₂²×D₆₇	1	2	yes	—
1637	C₂³×C₄	—	268	4	no	—
1638	C₂³×C₄	—	67	1	no	—
1639	C₂³×C₄	—	67	1	no	—
1640	C₂³×C₄	—	67	2	no	—
1641	C₂³×C₄	—	67	2	no	—
1642	C₂³×C₄	—	67	4	no	—
1643	C₂³×C₄	—	67	4	no	—
1644	C₂³×C₄	—	67	1	no	—
1645	C₂³×C₄	—	67	4	no	—
1646	C₂³×C₄	—	67	1	no	—
1647	C₂³×C₄	—	67	1	no	—
1648	C₂³×C₄	—	67	1	no	—
1649	C₂³×C₄	—	67	1	no	—
1650	C₂³×C₄	—	67	1	no	—
1651	C₂³×C₄	—	67	1	no	—
1652	C₂³×C₄	—	67	1	no	—
1653	C₂³×C₄	—	67	2	no	—
1654	C₂³×C₄	—	67	1	no	—
1655	C₂³×C₄	—	67	2	no	—
1656	C₂³×C₄	—	67	1	no	—
1657	C₂³×C₄	—	67	1	no	—
1658	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1659	C₄⋊Q₈	—	67	4	no	—
1660	C₄⋊Q₈	—	67	4	no	—
1661	C₄⋊Q₈	—	67	2	no	—
1662	C₄⋊Q₈	—	67	2	no	—
1663	C₄⋊Q₈	—	67	2	no	—
1664	C₄⋊Q₈	C₂²×D₆₇	1	2	yes	complemented
1665	#126	—	67	4	no	—
1666	#126	—	67	4	no	—
1667	#126	—	67	4	no	—
1668	#126	—	67	4	no	—
1669	#126	—	67	4	no	—
1670	#126	—	67	4	no	—
1671	#126	—	67	4	no	—
1672	#126	C₂²×D₆₇	1	4	yes	complemented
1673	#125	—	67	4	no	—
1674	#125	—	67	4	no	—
1675	#125	—	67	4	no	—
1676	#125	—	67	4	no	—
1677	#125	—	67	4	no	—
1678	#125	—	67	4	no	—
1679	#125	—	67	4	no	—
1680	#125	C₂²×D₆₇	1	4	yes	complemented
1681	#124	—	67	4	no	—
1682	#124	—	67	2	no	—
1683	#124	—	67	4	no	—
1684	#124	—	67	4	no	—
1685	#124	—	67	2	no	—
1686	#124	—	67	4	no	—
1687	#124	—	67	4	no	—
1688	#124	—	67	4	no	—
1689	#124	—	67	4	no	—
1690	#124	—	67	4	no	—
1691	#124	—	67	4	no	—
1692	#124	—	67	4	no	—
1693	#124	—	67	4	no	—
1694	#124	—	67	4	no	—
1695	#124	—	67	4	no	—
1696	#124	—	67	4	no	—
1697	#124	—	67	4	no	—
1698	#124	—	67	2	no	—
1699	#124	—	67	4	no	—
1700	#124	C₂²×D₆₇	1	4	yes	complemented
1701	#124	C₂²×D₆₇	1	2	yes	complemented
1702	#124	C₂²×D₆₇	1	4	yes	complemented
1703	#123	—	67	2	no	—
1704	#123	—	67	4	no	—
1705	#123	—	67	4	no	—
1706	#123	—	67	4	no	—
1707	#123	—	67	4	no	—
1708	#123	—	67	2	no	—
1709	#123	—	67	4	no	—
1710	#123	—	67	4	no	—
1711	#123	—	67	4	no	—
1712	#123	—	67	4	no	—
1713	#123	—	67	2	no	—
1714	#123	—	67	2	no	—
1715	#123	—	67	4	no	—
1716	#123	—	67	4	no	—
1717	#123	—	67	4	no	—
1718	#123	—	67	4	no	—
1719	#123	—	67	4	no	—
1720	#123	—	67	4	no	—
1721	#123	—	67	4	no	—
1722	#123	—	67	4	no	—
1723	#123	—	67	2	no	—
1724	#123	—	67	2	no	—
1725	#123	—	67	2	no	—
1726	#123	—	67	4	no	—
1727	#123	—	67	4	no	—
1728	#123	—	67	4	no	—
1729	#123	—	67	4	no	—
1730	#123	—	67	4	no	—
1731	#123	—	67	4	no	—
1732	#123	—	67	4	no	—
1733	#123	—	67	4	no	—
1734	#123	—	67	4	no	—
1735	#123	—	67	4	no	—
1736	#123	—	67	4	no	—
1737	#123	—	67	4	no	—
1738	#123	C₂²×D₆₇	1	2	yes	complemented
1739	#123	C₂²×D₆₇	1	4	yes	complemented
1740	#123	C₂²×D₆₇	1	4	yes	complemented
1741	#123	C₂²×D₆₇	1	4	yes	complemented
1742	#123	C₂²×D₆₇	1	4	yes	complemented
1743	C₂²⋊Q₈	—	67	2	no	—
1744	C₂²⋊Q₈	—	67	2	no	—
1745	C₂²⋊Q₈	—	67	2	no	—
1746	C₂²⋊Q₈	—	67	2	no	—
1747	C₂²⋊Q₈	—	67	1	no	—
1748	C₂²⋊Q₈	—	67	1	no	—
1749	C₂²⋊Q₈	—	67	4	no	—
1750	C₂²⋊Q₈	—	67	4	no	—
1751	C₂²⋊Q₈	—	67	2	no	—
1752	C₂²⋊Q₈	—	67	4	no	—
1753	C₂²⋊Q₈	—	67	4	no	—
1754	C₂²⋊Q₈	—	67	4	no	—
1755	C₂²⋊Q₈	—	67	4	no	—
1756	C₂²⋊Q₈	—	67	2	no	—
1757	C₂²⋊Q₈	—	67	2	no	—
1758	C₂²⋊Q₈	—	67	2	no	—
1759	C₂²⋊Q₈	—	67	2	no	—
1760	C₂²⋊Q₈	—	67	1	no	—
1761	C₂²⋊Q₈	—	67	1	no	—
1762	C₂²⋊Q₈	—	67	4	no	—
1763	C₂²⋊Q₈	—	67	4	no	—
1764	C₂²⋊Q₈	—	67	2	no	—
1765	C₂²⋊Q₈	—	67	4	no	—
1766	C₂²⋊Q₈	—	67	4	no	—
1767	C₂²⋊Q₈	—	67	4	no	—
1768	C₂²⋊Q₈	—	67	4	no	—
1769	C₂²⋊Q₈	—	67	4	no	—
1770	C₂²⋊Q₈	—	67	2	no	—
1771	C₂²⋊Q₈	—	67	4	no	—
1772	C₂²⋊Q₈	—	67	2	no	—
1773	C₂²⋊Q₈	—	67	4	no	—
1774	C₂²⋊Q₈	—	67	2	no	—
1775	C₂²⋊Q₈	—	67	4	no	—
1776	C₂²⋊Q₈	—	67	2	no	—
1777	C₂²⋊Q₈	—	67	2	no	—
1778	C₂²⋊Q₈	—	67	1	no	—
1779	C₂²⋊Q₈	—	67	2	no	—
1780	C₂²⋊Q₈	—	67	1	no	—
1781	C₂²⋊Q₈	—	67	4	no	—
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	4	no	—
1787	C₂²⋊Q₈	—	67	4	no	—
1788	C₂²⋊Q₈	—	67	2	no	—
1789	C₂²⋊Q₈	—	67	4	no	—
1790	C₂²⋊Q₈	—	67	4	no	—
1791	C₂²⋊Q₈	—	67	4	no	—
1792	C₂²⋊Q₈	—	67	4	no	—
1793	C₂²⋊Q₈	—	67	4	no	—
1794	C₂²⋊Q₈	—	67	4	no	—
1795	C₂²⋊Q₈	—	67	4	no	—
1796	C₂²⋊Q₈	—	67	4	no	—
1797	C₂²⋊Q₈	—	67	4	no	—
1798	C₂²⋊Q₈	—	67	4	no	—
1799	C₂²⋊Q₈	—	67	4	no	—
1800	C₂²⋊Q₈	—	67	4	no	—
1801	C₂²⋊Q₈	—	67	4	no	—
1802	C₂²⋊Q₈	—	67	4	no	—
1803	C₂²⋊Q₈	—	67	4	no	—
1804	C₂²⋊Q₈	—	67	4	no	—
1805	C₂²⋊Q₈	—	67	2	no	—
1806	C₂²⋊Q₈	—	67	2	no	—
1807	C₂²⋊Q₈	—	67	4	no	—
1808	C₂²⋊Q₈	—	67	4	no	—
1809	C₂²⋊Q₈	—	67	4	no	—
1810	C₂²⋊Q₈	—	67	4	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	—	67	4	no	—
1816	C₂²⋊Q₈	—	67	4	no	—
1817	C₂²⋊Q₈	—	67	4	no	—
1818	C₂²⋊Q₈	—	67	4	no	—
1819	C₂²⋊Q₈	—	67	4	no	—
1820	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	—
1821	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	—
1822	C₂²⋊Q₈	C₂²×D₆₇	1	1	yes	characteristic
1823	C₂²⋊Q₈	C₂²×D₆₇	1	4	yes	—
1824	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	complemented
1825	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	complemented
1826	C₂²⋊Q₈	C₂²×D₆₇	1	1	yes	characteristic, complemented
1827	C₂²⋊Q₈	C₂²×D₆₇	1	4	yes	complemented
1828	C₂²⋊Q₈	C₂²×D₆₇	1	4	yes	complemented
1829	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	complemented
1830	C₂²⋊Q₈	C₂²×D₆₇	1	4	yes	complemented
1831	C₂²⋊Q₈	C₂²×D₆₇	1	4	yes	complemented
1832	C₂²⋊Q₈	C₂²×D₆₇	1	4	yes	complemented
1833	#121	—	67	2	no	—
1834	#121	—	67	4	no	—
1835	#121	—	67	2	no	—
1836	#121	—	67	4	no	—
1837	#121	—	67	2	no	—
1838	#121	—	67	4	no	—
1839	#121	—	67	2	no	—
1840	#121	—	67	4	no	—
1841	#121	—	67	1	no	—
1842	#121	—	67	2	no	—
1843	#121	—	67	1	no	—
1844	#121	—	67	2	no	—
1845	#121	—	67	4	no	—
1846	#121	—	67	4	no	—
1847	#121	—	67	4	no	—
1848	#121	—	67	2	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	4	no	—
1861	#121	—	67	4	no	—
1862	#121	—	67	2	no	—
1863	#121	—	67	2	no	—
1864	#121	—	67	2	no	—
1865	#121	—	67	2	no	—
1866	#121	—	67	1	no	—
1867	#121	—	67	1	no	—
1868	#121	—	67	4	no	—
1869	#121	—	67	2	no	—
1870	#121	—	67	4	no	—
1871	#121	—	67	4	no	—
1872	#121	—	67	4	no	—
1873	#121	—	67	4	no	—
1874	#121	—	67	2	no	—
1875	#121	—	67	2	no	—
1876	#121	—	67	2	no	—
1877	#121	—	67	2	no	—
1878	#121	—	67	1	no	—
1879	#121	—	67	1	no	—
1880	#121	—	67	4	no	—
1881	#121	—	67	2	no	—
1882	#121	—	67	4	no	—
1883	#121	—	67	4	no	—
1884	#121	—	67	4	no	—
1885	#121	—	67	4	no	—
1886	#121	—	67	4	no	—
1887	#121	—	67	4	no	—
1888	#121	—	67	4	no	—
1889	#121	—	67	4	no	—
1890	#121	—	67	2	no	—
1891	#121	—	67	2	no	—
1892	#121	—	67	4	no	—
1893	#121	—	67	4	no	—
1894	#121	—	67	4	no	—
1895	#121	—	67	4	no	—
1896	#121	—	67	4	no	—
1897	#121	—	67	4	no	—
1898	#121	—	67	4	no	—
1899	#121	—	67	4	no	—
1900	#121	—	67	4	no	—
1901	#121	—	67	4	no	—
1902	#121	—	67	4	no	—
1903	#121	C₂²×D₆₇	1	2	yes	—
1904	#121	C₂²×D₆₇	1	2	yes	—
1905	#121	C₂²×D₆₇	1	2	yes	—
1906	#121	C₂²×D₆₇	1	2	yes	—
1907	#121	C₂²×D₆₇	1	1	yes	characteristic
1908	#121	C₂²×D₆₇	1	1	yes	characteristic, complemented
1909	#121	C₂²×D₆₇	1	4	yes	complemented
1910	#121	C₂²×D₆₇	1	2	yes	complemented
1911	#121	C₂²×D₆₇	1	4	yes	complemented
1912	#121	C₂²×D₆₇	1	4	yes	complemented
1913	#121	C₂²×D₆₇	1	4	yes	complemented
1914	#121	C₂²×D₆₇	1	4	yes	complemented
1915	#120	—	67	2	no	—
1916	#120	—	67	4	no	—
1917	#120	—	67	2	no	—
1918	#120	—	67	2	no	—
1919	#120	—	67	2	no	—
1920	#120	—	67	4	no	—
1921	#120	—	67	4	no	—
1922	#120	—	67	4	no	—
1923	#120	—	67	2	no	—
1924	#120	—	67	2	no	—
1925	#120	—	67	2	no	—
1926	#120	—	67	4	no	—
1927	#120	—	67	4	no	—
1928	#120	—	67	4	no	—
1929	#120	C₂²×D₆₇	1	2	yes	—
1930	#120	C₂²×D₆₇	1	4	yes	—
1931	C₄×Q₈	—	67	2	no	—
1932	C₄×Q₈	—	67	4	no	—
1933	C₄×Q₈	—	67	2	no	—
1934	C₄×Q₈	—	67	4	no	—
1935	C₄×Q₈	—	67	2	no	—
1936	C₄×Q₈	C₂²×D₆₇	1	2	yes	complemented
1937	C₄×D₄	—	67	2	no	—
1938	C₄×D₄	—	67	2	no	—
1939	C₄×D₄	—	67	4	no	—
1940	C₄×D₄	—	67	4	no	—
1941	C₄×D₄	—	67	2	no	—
1942	C₄×D₄	—	67	2	no	—
1943	C₄×D₄	—	67	2	no	—
1944	C₄×D₄	—	67	2	no	—
1945	C₄×D₄	—	67	2	no	—
1946	C₄×D₄	—	67	4	no	—
1947	C₄×D₄	—	67	4	no	—
1948	C₄×D₄	—	67	4	no	—
1949	C₄×D₄	—	67	4	no	—
1950	C₄×D₄	—	67	4	no	—
1951	C₄×D₄	—	67	2	no	—
1952	C₄×D₄	—	67	2	no	—
1953	C₄×D₄	—	67	4	no	—
1954	C₄×D₄	—	67	4	no	—
1955	C₄×D₄	—	67	2	no	—
1956	C₄×D₄	—	67	2	no	—
1957	C₄×D₄	—	67	2	no	—
1958	C₄×D₄	—	67	2	no	—
1959	C₄×D₄	—	67	2	no	—
1960	C₄×D₄	—	67	4	no	—
1961	C₄×D₄	—	67	4	no	—
1962	C₄×D₄	—	67	4	no	—
1963	C₄×D₄	—	67	4	no	—
1964	C₄×D₄	—	67	4	no	—
1965	C₄×D₄	—	67	2	no	—
1966	C₄×D₄	—	67	2	no	—
1967	C₄×D₄	—	67	4	no	—
1968	C₄×D₄	—	67	4	no	—
1969	C₄×D₄	—	67	2	no	—
1970	C₄×D₄	C₂²×D₆₇	1	2	yes	—
1971	C₄×D₄	C₂²×D₆₇	1	4	yes	—
1972	C₄×D₄	C₂²×D₆₇	1	2	yes	complemented
1973	C₄×D₄	C₂²×D₆₇	1	4	yes	complemented
1974	C₄×D₄	C₂²×D₆₇	1	2	yes	complemented
1975	#117	—	67	1	no	—
1976	#117	—	67	1	no	—
1977	#117	—	67	1	no	—
1978	#117	—	67	2	no	—
1979	#117	—	67	2	no	—
1980	#117	C₂²×D₆₇	1	1	yes	characteristic, complemented
1981	C₂×C₄⋊C₄	—	67	2	no	—
1982	C₂×C₄⋊C₄	—	67	1	no	—
1983	C₂×C₄⋊C₄	—	67	2	no	—
1984	C₂×C₄⋊C₄	—	67	2	no	—
1985	C₂×C₄⋊C₄	—	67	2	no	—
1986	C₂×C₄⋊C₄	—	67	2	no	—
1987	C₂×C₄⋊C₄	—	67	1	no	—
1988	C₂×C₄⋊C₄	—	67	4	no	—
1989	C₂×C₄⋊C₄	—	67	2	no	—
1990	C₂×C₄⋊C₄	—	67	2	no	—
1991	C₂×C₄⋊C₄	—	67	2	no	—
1992	C₂×C₄⋊C₄	—	67	2	no	—
1993	C₂×C₄⋊C₄	—	67	2	no	—
1994	C₂×C₄⋊C₄	—	67	2	no	—
1995	C₂×C₄⋊C₄	—	67	4	no	—
1996	C₂×C₄⋊C₄	—	67	4	no	—
1997	C₂×C₄⋊C₄	—	67	4	no	—
1998	C₂×C₄⋊C₄	—	67	2	no	—
1999	C₂×C₄⋊C₄	—	67	4	no	—
2000	C₂×C₄⋊C₄	—	67	4	no	—
2001	C₂×C₄⋊C₄	—	67	2	no	—
2002	C₂×C₄⋊C₄	—	67	2	no	—
2003	C₂×C₄⋊C₄	—	67	4	no	—
2004	C₂×C₄⋊C₄	—	67	2	no	—
2005	C₂×C₄⋊C₄	—	67	2	no	—
2006	C₂×C₄⋊C₄	—	67	1	no	—
2007	C₂×C₄⋊C₄	—	67	1	no	—
2008	C₂×C₄⋊C₄	—	67	4	no	—
2009	C₂×C₄⋊C₄	—	67	2	no	—
2010	C₂×C₄⋊C₄	—	67	2	no	—
2011	C₂×C₄⋊C₄	—	67	4	no	—
2012	C₂×C₄⋊C₄	—	67	4	no	—
2013	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
2014	C₂×C₄⋊C₄	C₂²×D₆₇	1	2	yes	complemented
2015	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic, complemented
2016	C₂×C₄⋊C₄	C₂²×D₆₇	1	2	yes	complemented
2017	C₂×C₂²⋊C₄	—	67	2	no	—
2018	C₂×C₂²⋊C₄	—	67	2	no	—
2019	C₂×C₂²⋊C₄	—	67	4	no	—
2020	C₂×C₂²⋊C₄	—	67	2	no	—
2021	C₂×C₂²⋊C₄	—	67	2	no	—
2022	C₂×C₂²⋊C₄	—	67	2	no	—
2023	C₂×C₂²⋊C₄	—	67	2	no	—
2024	C₂×C₂²⋊C₄	—	67	4	no	—
2025	C₂×C₂²⋊C₄	—	67	4	no	—
2026	C₂×C₂²⋊C₄	—	67	4	no	—
2027	C₂×C₂²⋊C₄	—	67	2	no	—
2028	C₂×C₂²⋊C₄	—	67	4	no	—
2029	C₂×C₂²⋊C₄	—	67	4	no	—
2030	C₂×C₂²⋊C₄	—	67	4	no	—
2031	C₂×C₂²⋊C₄	—	67	4	no	—
2032	C₂×C₂²⋊C₄	—	67	4	no	—
2033	C₂×C₂²⋊C₄	—	67	4	no	—
2034	C₂×C₂²⋊C₄	—	67	4	no	—
2035	C₂×C₂²⋊C₄	—	67	4	no	—
2036	C₂×C₂²⋊C₄	—	67	4	no	—
2037	C₂×C₂²⋊C₄	—	67	4	no	—
2038	C₂×C₂²⋊C₄	—	67	4	no	—
2039	C₂×C₂²⋊C₄	—	67	4	no	—
2040	C₂×C₂²⋊C₄	—	67	4	no	—
2041	C₂×C₂²⋊C₄	—	67	2	no	—
2042	C₂×C₂²⋊C₄	—	67	2	no	—
2043	C₂×C₂²⋊C₄	—	67	4	no	—
2044	C₂×C₂²⋊C₄	—	67	4	no	—
2045	C₂×C₂²⋊C₄	—	67	2	no	—
2046	C₂×C₂²⋊C₄	—	67	4	no	—
2047	C₂×C₂²⋊C₄	—	67	2	no	—
2048	C₂×C₂²⋊C₄	C₂²×D₆₇	1	2	yes	—
2049	C₂×C₂²⋊C₄	C₂²×D₆₇	1	2	yes	—
2050	C₂×C₂²⋊C₄	C₂²×D₆₇	1	4	yes	—
2051	C₂×C₄²	—	67	2	no	—
2052	C₂×C₄²	—	67	4	no	—
2053	C₂⁴	—	268	2	no	—
2054	C₂⁴	—	268	4	no	—
2055	C₂⁴	—	268	4	no	—
2056	C₂⁴	—	67	4	no	—
2057	C₂⁴	—	67	2	no	—
2058	C₂⁴	—	67	1	no	—
2059	C₂⁴	—	67	1	no	—
2060	C₂⁴	—	67	1	no	—
2061	C₂⁴	—	67	1	no	—
2062	C₂⁴	—	67	1	no	—
2063	C₂⁴	—	67	1	no	—
2064	C₂⁴	—	67	4	no	—
2065	C₂⁴	—	67	2	no	—
2066	C₂⁴	—	134	4	no	—
2067	C₂⁴	—	134	4	no	—
2068	C₂⁴	—	134	8	no	—
2069	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
2070	C₂⁴	C₂³×D₆₇	1	2	yes	—
2071	#41	—	4	2	no	—
2072	#41	—	4	8	no	—
2073	#41	—	4	4	no	—
2074	#41	—	268	4	no	—
2075	#41	—	268	8	no	—
2076	#41	—	268	2	no	—
2077	#41	—	268	4	no	—
2078	#41	—	268	8	no	—
2079	#41	—	268	8	no	—
2080	#41	—	268	8	no	—
2081	#41	—	268	4	no	—
2082	#41	—	268	8	no	—
2083	#41	—	268	8	no	—
2084	#41	—	268	8	no	—
2085	#41	—	268	8	no	—
2086	#41	—	268	4	no	—
2087	#41	—	268	8	no	—
2088	#41	—	268	2	no	—
2089	#41	—	268	4	no	—
2090	#41	—	268	2	no	—
2091	C₂×Q₈	—	4	2	no	—
2092	C₂×Q₈	—	268	2	no	—
2093	C₂×Q₈	—	268	4	no	—
2094	C₂×Q₈	—	268	4	no	—
2095	C₂×Q₈	—	268	4	no	—
2096	C₂×Q₈	—	268	4	no	—
2097	C₂×Q₈	—	268	2	no	—
2098	C₂×Q₈	—	268	8	no	—
2099	C₂×Q₈	—	67	1	no	—
2100	C₂×Q₈	—	67	2	no	—
2101	C₂×Q₈	—	67	2	no	—
2102	C₂×Q₈	—	67	4	no	—
2103	C₂×Q₈	—	67	4	no	—
2104	C₂×Q₈	—	67	4	no	—
2105	C₂×Q₈	—	67	4	no	—
2106	C₂×Q₈	—	67	4	no	—
2107	C₂×Q₈	—	67	2	no	—
2108	C₂×Q₈	—	134	8	no	—
2109	C₂×Q₈	C₂³×D₆₇	1	2	yes	—
2110	C₂×Q₈	C₂³×D₆₇	1	1	yes	characteristic
2111	C₂×Q₈	C₂³×D₆₇	1	2	yes	—
2112	C₂×Q₈	C₂³×D₆₇	1	4	yes	—
2113	C₂×D₄	—	4	2	no	—
2114	C₂×D₄	—	4	4	no	—
2115	C₂×D₄	—	268	2	no	—
2116	C₂×D₄	—	268	4	no	—
2117	C₂×D₄	—	268	8	no	—
2118	C₂×D₄	—	268	8	no	—
2119	C₂×D₄	—	268	4	no	—
2120	C₂×D₄	—	268	4	no	—
2121	C₂×D₄	—	268	4	no	—
2122	C₂×D₄	—	268	4	no	—
2123	C₂×D₄	—	268	8	no	—
2124	C₂×D₄	—	268	8	no	—
2125	C₂×D₄	—	268	4	no	—
2126	C₂×D₄	—	268	2	no	—
2127	C₂×D₄	—	268	8	no	—
2128	C₂×D₄	—	268	4	no	—
2129	C₂×D₄	—	268	4	no	—
2130	C₂×D₄	—	67	2	no	—
2131	C₂×D₄	—	67	4	no	—
2132	C₂×D₄	—	67	2	no	—
2133	C₂×D₄	—	67	4	no	—
2134	C₂×D₄	—	67	4	no	—
2135	C₂×D₄	—	67	4	no	—
2136	C₂×D₄	—	67	2	no	—
2137	C₂×D₄	—	67	4	no	—
2138	C₂×D₄	—	67	4	no	—
2139	C₂×D₄	—	67	4	no	—
2140	C₂×D₄	—	67	2	no	—
2141	C₂×D₄	—	67	2	no	—
2142	C₂×D₄	—	67	2	no	—
2143	C₂×D₄	—	67	2	no	—
2144	C₂×D₄	—	67	4	no	—
2145	C₂×D₄	—	67	4	no	—
2146	C₂×D₄	—	67	4	no	—
2147	C₂×D₄	—	67	2	no	—
2148	C₂×D₄	—	67	4	no	—
2149	C₂×D₄	—	67	4	no	—
2150	C₂×D₄	—	67	1	no	—
2151	C₂×D₄	—	67	2	no	—
2152	C₂×D₄	—	67	4	no	—
2153	C₂×D₄	—	67	2	no	—
2154	C₂×D₄	—	67	2	no	—
2155	C₂×D₄	—	67	4	no	—
2156	C₂×D₄	—	67	2	no	—
2157	C₂×D₄	—	134	8	no	—
2158	C₂×D₄	—	134	16	no	—
2159	C₂×D₄	—	134	8	no	—
2160	C₂×D₄	—	134	8	no	—
2161	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2162	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2163	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2164	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2165	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2166	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2167	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2168	C₂×D₄	C₂³×D₆₇	1	1	yes	characteristic
2169	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2170	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2171	C₂²×C₄	—	4	2	no	—
2172	C₂²×C₄	—	268	2	no	—
2173	C₂²×C₄	—	268	2	no	—
2174	C₂²×C₄	—	268	2	no	—
2175	C₂²×C₄	—	268	2	no	—
2176	C₂²×C₄	—	268	2	no	—
2177	C₂²×C₄	—	268	2	no	—
2178	C₂²×C₄	—	268	4	no	—
2179	C₂²×C₄	—	268	4	no	—
2180	C₂²×C₄	—	268	8	no	—
2181	C₂²×C₄	—	268	8	no	—
2182	C₂²×C₄	—	268	8	no	—
2183	C₂²×C₄	—	268	2	no	—
2184	C₂²×C₄	—	268	2	no	—
2185	C₂²×C₄	—	268	2	no	—
2186	C₂²×C₄	—	268	2	no	—
2187	C₂²×C₄	—	67	1	no	—
2188	C₂²×C₄	—	67	2	no	—
2189	C₂²×C₄	—	67	2	no	—
2190	C₂²×C₄	—	67	4	no	—
2191	C₂²×C₄	—	67	4	no	—
2192	C₂²×C₄	—	67	1	no	—
2193	C₂²×C₄	—	67	4	no	—
2194	C₂²×C₄	—	67	1	no	—
2195	C₂²×C₄	—	67	1	no	—
2196	C₂²×C₄	—	67	1	no	—
2197	C₂²×C₄	—	67	4	no	—
2198	C₂²×C₄	—	67	4	no	—
2199	C₂²×C₄	—	67	4	no	—
2200	C₂²×C₄	—	67	4	no	—
2201	C₂²×C₄	—	67	4	no	—
2202	C₂²×C₄	—	67	4	no	—
2203	C₂²×C₄	—	67	1	no	—
2204	C₂²×C₄	—	67	1	no	—
2205	C₂²×C₄	—	67	4	no	—
2206	C₂²×C₄	—	67	4	no	—
2207	C₂²×C₄	—	67	1	no	—
2208	C₂²×C₄	—	67	1	no	—
2209	C₂²×C₄	—	67	1	no	—
2210	C₂²×C₄	—	67	2	no	—
2211	C₂²×C₄	—	67	1	no	—
2212	C₂²×C₄	—	67	2	no	—
2213	C₂²×C₄	—	67	1	no	—
2214	C₂²×C₄	—	67	1	no	—
2215	C₂²×C₄	—	67	2	no	—
2216	C₂²×C₄	—	67	4	no	—
2217	C₂²×C₄	—	67	2	no	—
2218	C₂²×C₄	—	67	4	no	—
2219	C₂²×C₄	—	67	1	no	—
2220	C₂²×C₄	—	67	2	no	—
2221	C₂²×C₄	—	67	4	no	—
2222	C₂²×C₄	—	67	1	no	—
2223	C₂²×C₄	—	67	1	no	—
2224	C₂²×C₄	—	67	4	no	—
2225	C₂²×C₄	—	67	1	no	—
2226	C₂²×C₄	—	67	1	no	—
2227	C₂²×C₄	—	67	2	no	—
2228	C₂²×C₄	—	67	2	no	—
2229	C₂²×C₄	—	67	1	no	—
2230	C₂²×C₄	—	67	1	no	—
2231	C₂²×C₄	—	67	1	no	—
2232	C₂²×C₄	—	67	1	no	—
2233	C₂²×C₄	—	134	4	no	—
2234	C₂²×C₄	—	134	4	no	—
2235	C₂²×C₄	—	134	4	no	—
2236	C₂²×C₄	—	134	8	no	—
2237	C₂²×C₄	—	134	8	no	—
2238	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2239	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2240	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2241	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2242	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2243	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2244	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2245	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2246	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
2247	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
2248	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2249	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
2250	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2251	C₄⋊C₄	—	67	4	no	—
2252	C₄⋊C₄	—	67	2	no	—
2253	C₄⋊C₄	—	67	4	no	—
2254	C₄⋊C₄	—	67	2	no	—
2255	C₄⋊C₄	—	67	4	no	—
2256	C₄⋊C₄	—	67	2	no	—
2257	C₄⋊C₄	—	67	4	no	—
2258	C₄⋊C₄	—	67	4	no	—
2259	C₄⋊C₄	—	67	4	no	—
2260	C₄⋊C₄	—	67	4	no	—
2261	C₄⋊C₄	—	67	4	no	—
2262	C₄⋊C₄	—	67	4	no	—
2263	C₄⋊C₄	—	67	4	no	—
2264	C₄⋊C₄	—	67	4	no	—
2265	C₄⋊C₄	—	67	4	no	—
2266	C₄⋊C₄	—	67	4	no	—
2267	C₄⋊C₄	—	67	2	no	—
2268	C₄⋊C₄	—	67	2	no	—
2269	C₄⋊C₄	—	67	1	no	—
2270	C₄⋊C₄	—	67	2	no	—
2271	C₄⋊C₄	—	67	1	no	—
2272	C₄⋊C₄	—	67	4	no	—
2273	C₄⋊C₄	—	67	4	no	—
2274	C₄⋊C₄	—	67	4	no	—
2275	C₄⋊C₄	—	67	2	no	—
2276	C₄⋊C₄	—	67	2	no	—
2277	C₄⋊C₄	—	67	2	no	—
2278	C₄⋊C₄	—	67	2	no	—
2279	C₄⋊C₄	—	67	2	no	—
2280	C₄⋊C₄	—	67	2	no	—
2281	C₄⋊C₄	—	67	4	no	—
2282	C₄⋊C₄	—	67	4	no	—
2283	C₄⋊C₄	—	67	4	no	—
2284	C₄⋊C₄	—	67	4	no	—
2285	C₄⋊C₄	—	67	4	no	—
2286	C₄⋊C₄	—	67	4	no	—
2287	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2288	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2289	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2290	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2291	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2292	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2293	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2294	C₄⋊C₄	C₂³×D₆₇	1	1	yes	characteristic
2295	C₄⋊C₄	C₂³×D₆₇	1	1	yes	characteristic
2296	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2297	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2298	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2299	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2300	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2301	C₂²⋊C₄	—	67	4	no	—
2302	C₂²⋊C₄	—	67	2	no	—
2303	C₂²⋊C₄	—	67	4	no	—
2304	C₂²⋊C₄	—	67	4	no	—
2305	C₂²⋊C₄	—	67	4	no	—
2306	C₂²⋊C₄	—	67	4	no	—
2307	C₂²⋊C₄	—	67	4	no	—
2308	C₂²⋊C₄	—	67	2	no	—
2309	C₂²⋊C₄	—	67	2	no	—
2310	C₂²⋊C₄	—	67	4	no	—
2311	C₂²⋊C₄	—	67	4	no	—
2312	C₂²⋊C₄	—	67	2	no	—
2313	C₂²⋊C₄	—	67	4	no	—
2314	C₂²⋊C₄	—	67	2	no	—
2315	C₂²⋊C₄	—	67	4	no	—
2316	C₂²⋊C₄	—	67	2	no	—
2317	C₂²⋊C₄	—	67	4	no	—
2318	C₂²⋊C₄	—	67	2	no	—
2319	C₂²⋊C₄	—	67	4	no	—
2320	C₂²⋊C₄	—	67	4	no	—
2321	C₂²⋊C₄	—	67	4	no	—
2322	C₂²⋊C₄	—	67	4	no	—
2323	C₂²⋊C₄	—	67	4	no	—
2324	C₂²⋊C₄	—	67	4	no	—
2325	C₂²⋊C₄	—	67	4	no	—
2326	C₂²⋊C₄	—	67	4	no	—
2327	C₂²⋊C₄	—	67	4	no	—
2328	C₂²⋊C₄	—	67	4	no	—
2329	C₂²⋊C₄	—	67	2	no	—
2330	C₂²⋊C₄	—	67	2	no	—
2331	C₂²⋊C₄	—	67	2	no	—
2332	C₂²⋊C₄	—	67	2	no	—
2333	C₂²⋊C₄	—	67	4	no	—
2334	C₂²⋊C₄	—	67	4	no	—
2335	C₂²⋊C₄	—	67	4	no	—
2336	C₂²⋊C₄	—	67	4	no	—
2337	C₂²⋊C₄	—	67	2	no	—
2338	C₂²⋊C₄	—	67	2	no	—
2339	C₂²⋊C₄	—	67	4	no	—
2340	C₂²⋊C₄	—	67	4	no	—
2341	C₂²⋊C₄	—	67	2	no	—
2342	C₂²⋊C₄	—	67	2	no	—
2343	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2344	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2345	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2346	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2347	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2348	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2349	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2350	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2351	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2352	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2353	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2354	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2355	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2356	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2357	C₄²	—	67	2	no	—
2358	C₄²	—	67	2	no	—
2359	C₄²	—	67	2	no	—
2360	C₄²	—	67	4	no	—
2361	C₄²	—	67	4	no	—
2362	C₄²	—	67	4	no	—
2363	C₄²	C₂³×D₆₇	1	2	yes	—
2364	C₄²	C₂³×D₆₇	1	4	yes	—
2365	C₂³	—	2	2	no	—
2366	C₂³	—	2	2	no	—
2367	C₂³	—	2	4	no	—
2368	C₂³	—	4	1	no	—
2369	C₂³	—	4	2	no	—
2370	C₂³	—	4	2	no	—
2371	C₂³	—	268	1	no	—
2372	C₂³	—	268	1	no	—
2373	C₂³	—	268	1	no	—
2374	C₂³	—	268	2	no	—
2375	C₂³	—	268	2	no	—
2376	C₂³	—	268	4	no	—
2377	C₂³	—	268	4	no	—
2378	C₂³	—	268	16	no	—
2379	C₂³	—	536	16	no	—
2380	C₂³	—	67	1	no	—
2381	C₂³	—	67	4	no	—
2382	C₂³	—	67	4	no	—
2383	C₂³	—	67	1	no	—
2384	C₂³	—	67	1	no	—
2385	C₂³	—	67	1	no	—
2386	C₂³	—	67	4	no	—
2387	C₂³	—	67	2	no	—
2388	C₂³	—	134	4	no	—
2389	C₂³	—	134	2	no	—
2390	C₂³	—	134	8	no	—
2391	C₂³	—	134	8	no	—
2392	C₂³	—	134	4	no	—
2393	C₂³	—	134	2	no	—
2394	C₂³	—	134	2	no	—
2395	C₂³	—	134	2	no	—
2396	C₂³	—	134	4	no	—
2397	C₂³	—	134	2	no	—
2398	C₂³	—	134	2	no	—
2399	C₂³	—	134	8	no	—
2400	C₂³	—	134	2	no	—
2401	C₂³	—	134	8	no	—
2402	C₂³	—	134	2	no	—
2403	C₂³	—	134	2	no	—
2404	C₂³	—	134	2	no	—
2405	C₂³	—	134	2	no	—
2406	C₂³	—	134	2	no	—
2407	C₂³	—	134	2	no	—
2408	C₂³	—	134	4	no	—
2409	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
2410	C₂³	C₂⁴×D₆₇	1	4	yes	—
2411	C₂³	C₂⁴×D₆₇	1	2	yes	—
2412	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
2413	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
2414	Q₈	—	2	4	no	—
2415	Q₈	—	4	2	no	—
2416	Q₈	—	4	1	no	—
2417	Q₈	—	4	4	no	—
2418	Q₈	—	268	2	no	—
2419	Q₈	—	268	4	no	—
2420	Q₈	—	268	1	no	—
2421	Q₈	—	268	2	no	—
2422	Q₈	—	268	4	no	—
2423	Q₈	—	268	4	no	—
2424	Q₈	—	268	4	no	—
2425	Q₈	—	134	8	no	—
2426	Q₈	—	134	4	no	—
2427	D₄	—	2	8	no	—
2428	D₄	—	2	4	no	—
2429	D₄	—	2	4	no	—
2430	D₄	—	2	4	no	—
2431	D₄	—	4	2	no	—
2432	D₄	—	4	4	no	—
2433	D₄	—	4	2	no	—
2434	D₄	—	4	1	no	—
2435	D₄	—	4	4	no	—
2436	D₄	—	4	4	no	—
2437	D₄	—	268	2	no	—
2438	D₄	—	268	4	no	—
2439	D₄	—	268	4	no	—
2440	D₄	—	268	2	no	—
2441	D₄	—	268	1	no	—
2442	D₄	—	268	4	no	—
2443	D₄	—	268	4	no	—
2444	D₄	—	268	4	no	—
2445	D₄	—	268	4	no	—
2446	D₄	—	268	2	no	—
2447	D₄	—	268	2	no	—
2448	D₄	—	268	2	no	—
2449	D₄	—	268	4	no	—
2450	D₄	—	268	4	no	—
2451	D₄	—	268	4	no	—
2452	D₄	—	268	4	no	—
2453	D₄	—	134	8	no	—
2454	D₄	—	134	4	no	—
2455	D₄	—	134	4	no	—
2456	D₄	—	134	8	no	—
2457	D₄	—	134	8	no	—
2458	D₄	—	134	4	no	—
2459	D₄	—	134	4	no	—
2460	D₄	—	134	8	no	—
2461	D₄	—	134	4	no	—
2462	D₄	—	134	4	no	—
2463	D₄	—	134	4	no	—
2464	C₂×C₄	—	2	4	no	—
2465	C₂×C₄	—	2	2	no	—
2466	C₂×C₄	—	2	2	no	—
2467	C₂×C₄	—	2	2	no	—
2468	C₂×C₄	—	2	4	no	—
2469	C₂×C₄	—	4	1	no	—
2470	C₂×C₄	—	4	1	no	—
2471	C₂×C₄	—	4	1	no	—
2472	C₂×C₄	—	4	2	no	—
2473	C₂×C₄	—	4	2	no	—
2474	C₂×C₄	—	4	4	no	—
2475	C₂×C₄	—	4	4	no	—
2476	C₂×C₄	—	4	4	no	—
2477	C₂×C₄	—	268	1	no	—
2478	C₂×C₄	—	268	1	no	—
2479	C₂×C₄	—	268	1	no	—
2480	C₂×C₄	—	268	1	no	—
2481	C₂×C₄	—	268	1	no	—
2482	C₂×C₄	—	268	1	no	—
2483	C₂×C₄	—	268	4	no	—
2484	C₂×C₄	—	268	4	no	—
2485	C₂×C₄	—	268	4	no	—
2486	C₂×C₄	—	268	4	no	—
2487	C₂×C₄	—	268	4	no	—
2488	C₂×C₄	—	268	4	no	—
2489	C₂×C₄	—	268	4	no	—
2490	C₂×C₄	—	268	4	no	—
2491	C₂×C₄	—	268	1	no	—
2492	C₂×C₄	—	268	1	no	—
2493	C₂×C₄	—	268	1	no	—
2494	C₂×C₄	—	268	2	no	—
2495	C₂×C₄	—	268	2	no	—
2496	C₂×C₄	—	268	4	no	—
2497	C₂×C₄	—	268	4	no	—
2498	C₂×C₄	—	268	4	no	—
2499	C₂×C₄	—	67	1	no	—
2500	C₂×C₄	—	67	4	no	—
2501	C₂×C₄	—	67	2	no	—
2502	C₂×C₄	—	67	4	no	—
2503	C₂×C₄	—	67	2	no	—
2504	C₂×C₄	—	67	4	no	—
2505	C₂×C₄	—	67	1	no	—
2506	C₂×C₄	—	67	2	no	—
2507	C₂×C₄	—	67	4	no	—
2508	C₂×C₄	—	67	1	no	—
2509	C₂×C₄	—	67	1	no	—
2510	C₂×C₄	—	134	2	no	—
2511	C₂×C₄	—	134	2	no	—
2512	C₂×C₄	—	134	2	no	—
2513	C₂×C₄	—	134	4	no	—
2514	C₂×C₄	—	134	2	no	—
2515	C₂×C₄	—	134	2	no	—
2516	C₂×C₄	—	134	4	no	—
2517	C₂×C₄	—	134	8	no	—
2518	C₂×C₄	—	134	2	no	—
2519	C₂×C₄	—	134	8	no	—
2520	C₂×C₄	—	134	8	no	—
2521	C₂×C₄	—	134	4	no	—
2522	C₂×C₄	—	134	8	no	—
2523	C₂×C₄	—	134	4	no	—
2524	C₂×C₄	—	134	2	no	—
2525	C₂×C₄	—	134	2	no	—
2526	C₂×C₄	—	134	2	no	—
2527	C₂×C₄	—	134	4	no	—
2528	C₂×C₄	—	134	4	no	—
2529	C₂×C₄	—	134	2	no	—
2530	C₂×C₄	—	134	2	no	—
2531	C₂×C₄	—	134	2	no	—
2532	C₂×C₄	—	134	4	no	—
2533	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2534	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2535	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
2536	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
2537	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2538	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2539	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
2540	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2541	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2542	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2543	C₂²	—	2	1	no	—
2544	C₂²	—	2	1	no	—
2545	C₂²	—	2	1	no	—
2546	C₂²	—	2	1	no	—
2547	C₂²	—	2	1	no	—
2548	C₂²	—	2	2	no	—
2549	C₂²	—	2	2	no	—
2550	C₂²	—	2	4	no	—
2551	C₂²	—	2	4	no	—
2552	C₂²	—	2	1	no	—
2553	C₂²	—	2	2	no	—
2554	C₂²	—	2	1	no	—
2555	C₂²	—	2	4	no	—
2556	C₂²	—	4	4	no	—
2557	C₂²	—	8	4	no	—
2558	C₂²	—	268	4	no	—
2559	C₂²	—	268	4	no	—
2560	C₂²	—	268	4	no	—
2561	C₂²	—	268	16	no	—
2562	C₂²	—	268	8	no	—
2563	C₂²	—	268	4	no	—
2564	C₂²	—	536	4	no	—
2565	C₂²	—	536	8	no	—
2566	C₂²	—	67	2	no	—
2567	C₂²	—	67	2	no	—
2568	C₂²	—	67	2	no	—
2569	C₂²	—	67	2	no	—
2570	C₂²	—	67	2	no	—
2571	C₂²	—	134	8	no	—
2572	C₂²	—	134	8	no	—
2573	C₂²	—	134	2	no	—
2574	C₂²	—	134	1	no	—
2575	C₂²	—	134	4	no	—
2576	C₂²	—	134	4	no	—
2577	C₂²	—	134	2	no	—
2578	C₂²	—	134	1	no	—
2579	C₂²	—	134	2	no	—
2580	C₂²	—	134	1	no	—
2581	C₂²	—	134	4	no	—
2582	C₂²	—	134	1	no	—
2583	C₂²	—	134	1	no	—
2584	C₂²	—	134	1	no	—
2585	C₂²	—	134	1	no	—
2586	C₂²	H(5,𝔽₂)×D₆₇	1	2	yes	—
2587	C₂²	2₋¹⁺⁴×D₆₇	1	2	yes	—
2588	C₂²	C₂⁵×D₆₇	1	1	yes	characteristic
2589	C₄	—	2	1	no	—
2590	C₄	—	2	4	no	—
2591	C₄	—	2	1	no	—
2592	C₄	—	2	2	no	—
2593	C₄	—	2	1	no	—
2594	C₄	—	2	4	no	—
2595	C₄	—	2	2	no	—
2596	C₄	—	2	4	no	—
2597	C₄	—	2	2	no	—
2598	C₄	—	67	2	no	—
2599	C₄	—	134	1	no	—
2600	C₄	—	134	4	no	—
2601	C₄	—	134	1	no	—
2602	C₄	—	134	2	no	—
2603	C₄	—	134	1	no	—
2604	C₄	—	134	4	no	—
2605	C₄	—	134	4	no	—
2606	C₄	—	134	2	no	—
2607	C₄	—	134	2	no	—
2608	C₄	H(5,𝔽₂)×D₆₇	1	2	yes	—
2609	C₂	—	2	2	no	—
2610	C₂	—	2	2	no	—
2611	C₂	—	4	1	no	—
2612	C₂	—	4	4	no	—
2613	C₂	—	4	2	no	—
2614	C₂	—	268	1	no	—
2615	C₂	—	268	4	no	—
2616	C₂	—	268	2	no	—
2617	C₂	—	67	4	no	—
2618	C₂	—	134	2	no	—
2619	C₂	—	134	2	no	—
2620	C₂	C₂×H(5,𝔽₂)×D₆₇	1	1	yes	characteristic
2621	C₂	C₂×H(5,𝔽₂)×D₆₇	1	1	yes	characteristic
2622	C₂	C₂×2₋¹⁺⁴×D₆₇	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₆₇
commutator, socle, cosocle	C₂²×C₆₇	C₂⁶
Fitting	C₆₇×#3536	C₂
hypercenter	#3536	D₆₇
hypocenter	C₆₇	C₂×#3536
LCS	G ▷ C₂²×C₆₇ ▷ C₆₇
UCS	C₁ ◁ C₂² ◁ #3536

Complements

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

N	H ≅ G/N	type
1. #22574438	C₂	semidirect
2. #22574437	C₂	semidirect
3. #22574436	C₂	semidirect
4. #22574435	C₂	semidirect
5. #22574434	C₂	semidirect
6. #22574433	C₂	semidirect
7. #22574432	C₂	semidirect
8. #22574431	C₂	semidirect
9. #22574430	C₂	semidirect
10. #22574429	C₂	semidirect
11. #22574428	C₂	semidirect
12. #22574427	C₂	semidirect
13. #22574426	C₂	semidirect
14. #22574425	C₂	semidirect
15. #22574424	C₂	semidirect
16. #562×D₆₇	C₂	semidirect
17. #554×D₆₇	C₂	semidirect
18. #548×D₆₇	C₂	semidirect
19. #547×D₆₇	C₂	semidirect
20. #546×D₆₇	C₂	semidirect
21. #546×D₆₇	C₂	semidirect
22. #543×D₆₇	C₂	semidirect
23. #542×D₆₇	C₂	semidirect
24. #539×D₆₇	C₂	semidirect
25. #538×D₆₇	C₂	semidirect
26. #537×D₆₇	C₂	semidirect
27. #537×D₆₇	C₂	semidirect
28. #525×D₆₇	C₂	semidirect
29. C₂×C₂²⋊Q₈×D₆₇	C₂	semidirect
30. C₂×#121×D₆₇	C₂	semidirect
31. C₆₇×#3536	C₂	semidirect
32. C₂×#41×D₆₇	C₂²	semidirect
33. C₂×#41×D₆₇	C₂²	semidirect
34. C₂×#41×D₆₇	C₂²	semidirect
35. C₂²×Q₈×D₆₇	C₂²	semidirect
39. #16864144	C₂²	semidirect
40. #16864143	C₂²	semidirect
41. #16864143	C₂²	semidirect
42. #16864143	C₂²	semidirect
43. #16864143	C₂²	semidirect
44. #16864142	C₂²	semidirect
45. #16864142	C₂²	semidirect
46. #16864142	C₂²	semidirect
47. #16864142	C₂²	semidirect
48. #16864141	C₂²	semidirect
49. #16864141	C₂²	semidirect
50. #16864141	C₂²	semidirect
51. #16864141	C₂²	semidirect
52. #16864140	C₂²	semidirect
53. #16864140	C₂²	semidirect
54. #16864107	C₂²	semidirect
55. #16864106	C₂²	semidirect
56. #16864105	C₂²	semidirect
57. #16864104	C₂²	semidirect
58. #16864104	C₂²	semidirect
59. #16864103	C₂²	semidirect
60. #16864102	C₂²	semidirect
61. #16864101	C₂²	semidirect
62. #16864101	C₂²	semidirect
63. #16864100	C₂²	semidirect
64. #16864100	C₂²	semidirect
65. #16864058	C₂²	semidirect
66. #16864057	C₂²	semidirect
67. #16864056	C₂²	semidirect
68. #16864056	C₂²	semidirect
69. #16864055	C₂²	semidirect
70. #16864055	C₂²	semidirect
71. #16864054	C₂²	semidirect
72. #16864054	C₂²	semidirect
73. #16864053	C₂²	semidirect
74. #16864052	C₂²	semidirect
75. #16864052	C₂²	semidirect
76. #16864051	C₂²	semidirect
77. #16864050	C₂²	semidirect
78. #16864049	C₂²	semidirect
79. #16864048	C₂²	semidirect
80. #16864047	C₂²	semidirect
81. #16864047	C₂²	semidirect
82. #16864046	C₂²	semidirect
83. #16864046	C₂²	semidirect
84. #16864045	C₂²	semidirect
85. #16864044	C₂²	semidirect
86. #16864044	C₂²	semidirect
87. #16864043	C₂²	semidirect
88. #16864043	C₂²	semidirect
89. #16864042	C₂²	semidirect
90. #16864042	C₂²	semidirect
91. #16864041	C₂²	semidirect
92. #16864041	C₂²	semidirect
93. #16864040	C₂²	semidirect
94. #16864040	C₂²	semidirect
95. #16864039	C₂²	semidirect
96. #16864039	C₂²	semidirect
97. #16864038	C₂²	semidirect
98. #16864038	C₂²	semidirect
99. #16864038	C₂²	semidirect
100. #16864037	C₂²	semidirect
101. #16864037	C₂²	semidirect
102. #16864036	C₂²	semidirect
103. #16864036	C₂²	semidirect
104. #16864036	C₂²	semidirect
105. #16864035	C₂²	semidirect
106. #16864035	C₂²	semidirect
107. #16864035	C₂²	semidirect
108. #16864034	C₂²	semidirect
109. #16864034	C₂²	semidirect
110. #16864033	C₂²	semidirect
111. #16864033	C₂²	semidirect
112. #16864033	C₂²	semidirect
113. #16864022	C₂²	semidirect
114. #16864022	C₂²	semidirect
115. #16864021	C₂²	semidirect
116. #16864021	C₂²	semidirect
117. #16864021	C₂²	semidirect
118. #16864021	C₂²	semidirect
119. #16864021	C₂²	semidirect
120. #16864021	C₂²	semidirect
121. #16864021	C₂²	semidirect
122. #16864020	C₂²	semidirect
123. #16864019	C₂²	semidirect
124. #16864018	C₂²	semidirect
125. #16864017	C₂²	semidirect
126. #16864016	C₂²	semidirect
127. #16864015	C₂²	semidirect
128. #16864014	C₂²	semidirect
129. #16864013	C₂²	semidirect
130. #16864012	C₂²	semidirect
131. #16864011	C₂²	semidirect
132. #16864010	C₂²	semidirect
133. #16863995	C₂²	semidirect
134. #16863994	C₂²	semidirect
135. #16863993	C₂²	semidirect
136. #16863992	C₂²	semidirect
137. #16863991	C₂²	semidirect
138. #16863990	C₂²	semidirect
139. #16863989	C₂²	semidirect
140. #16863988	C₂²	semidirect
141. #16863987	C₂²	semidirect
142. #16863986	C₂²	semidirect
143. #16863985	C₂²	semidirect
144. #16863984	C₂²	semidirect
145. #16863983	C₂²	semidirect
146. #16863982	C₂²	semidirect
147. #16863981	C₂²	semidirect
148. #16863980	C₂²	semidirect
149. #16863979	C₂²	semidirect
150. #16863978	C₂²	semidirect
151. #16863977	C₂²	semidirect
152. #16863977	C₂²	semidirect
153. #16863976	C₂²	semidirect
154. #16863976	C₂²	semidirect
155. #16863976	C₂²	semidirect
156. #16863976	C₂²	semidirect
157. #16863976	C₂²	semidirect
158. #16863975	C₂²	semidirect
159. #16863975	C₂²	semidirect
160. #16863975	C₂²	semidirect
161. #16863975	C₂²	semidirect
162. #16863975	C₂²	semidirect
163. #16863974	C₂²	semidirect
164. #16863974	C₂²	semidirect
165. #16863974	C₂²	semidirect
166. #16863973	C₂²	semidirect
167. #16863973	C₂²	semidirect
168. #16863973	C₂²	semidirect
169. #16863973	C₂²	semidirect
170. #16863973	C₂²	semidirect
171. C₄⋊Q₈×D₆₇	C₂²	semidirect
172. #126×D₆₇	C₂²	semidirect
173. #125×D₆₇	C₂²	semidirect
174. #124×D₆₇	C₂²	semidirect
175. #124×D₆₇	C₂²	semidirect
176. #124×D₆₇	C₂²	semidirect
177. #16863909	C₂²	semidirect
178. #16863909	C₂²	semidirect
179. #16863908	C₂²	semidirect
180. #16863907	C₂²	semidirect
181. #16863906	C₂²	semidirect
182. #16863906	C₂²	semidirect
183. #16863905	C₂²	semidirect
184. #16863905	C₂²	semidirect
185. #16863904	C₂²	semidirect
186. #16863903	C₂²	semidirect
187. #16863902	C₂²	semidirect
188. #123×D₆₇	C₂²	semidirect
189. #123×D₆₇	C₂²	semidirect
190. #123×D₆₇	C₂²	semidirect
191. #123×D₆₇	C₂²	semidirect
192. #123×D₆₇	C₂²	semidirect
193. C₂×#14524023	C₂²	semidirect
194. C₂×#14524022	C₂²	semidirect
195. C₂×#14524021	C₂²	semidirect
196. C₂×#14524020	C₂²	semidirect
197. C₂×#14524019	C₂²	semidirect
202. C₂²⋊Q₈×D₆₇	C₂²	semidirect
203. C₂²⋊Q₈×D₆₇	C₂²	semidirect
204. C₂²⋊Q₈×D₆₇	C₂²	semidirect
205. C₂²⋊Q₈×D₆₇	C₂²	semidirect
206. C₂²⋊Q₈×D₆₇	C₂²	semidirect
207. C₂²⋊Q₈×D₆₇	C₂²	semidirect
208. C₂²⋊Q₈×D₆₇	C₂²	semidirect
209. C₂²⋊Q₈×D₆₇	C₂²	semidirect
210. C₂²⋊Q₈×D₆₇	C₂²	semidirect
211. C₂²⋊Q₈×D₆₇	C₂²	semidirect
212. C₂²⋊Q₈×D₆₇	C₂²	semidirect
213. C₂²⋊Q₈×D₆₇	C₂²	semidirect
214. C₂²⋊Q₈×D₆₇	C₂²	semidirect
215. C₂×#14524018	C₂²	semidirect
216. C₂×#14524017	C₂²	semidirect
217. C₂×#14524016	C₂²	semidirect
218. C₂×#14524015	C₂²	semidirect
219. C₂×#14524014	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. #121×D₆₇	C₂²	semidirect
232. #121×D₆₇	C₂²	semidirect
233. #121×D₆₇	C₂²	semidirect
234. #121×D₆₇	C₂²	semidirect
235. #121×D₆₇	C₂²	semidirect
238. C₄×Q₈×D₆₇	C₂²	semidirect
241. C₄×D₄×D₆₇	C₂²	semidirect
242. C₄×D₄×D₆₇	C₂²	semidirect
243. C₄×D₄×D₆₇	C₂²	semidirect
244. #117×D₆₇	C₂²	semidirect
246. C₂×C₄⋊C₄×D₆₇	C₂²	semidirect
247. C₂×C₄⋊C₄×D₆₇	C₂²	semidirect
248. C₂×C₄⋊C₄×D₆₇	C₂²	semidirect
252. #562×C₆₇	C₂²	semidirect
253. #554×C₆₇	C₂²	semidirect
254. #548×C₆₇	C₂²	semidirect
255. #547×C₆₇	C₂²	semidirect
256. #546×C₆₇	C₂²	semidirect
257. #546×C₆₇	C₂²	semidirect
258. #543×C₆₇	C₂²	semidirect
259. #542×C₆₇	C₂²	semidirect
260. #539×C₆₇	C₂²	semidirect
261. #538×C₆₇	C₂²	semidirect
262. #537×C₆₇	C₂²	semidirect
263. #537×C₆₇	C₂²	semidirect
264. #525×C₆₇	C₂²	semidirect
265. C₂×C₂²⋊Q₈×C₆₇	C₂²	semidirect
266. C₂×#121×C₆₇	C₂²	semidirect
269. C₂×#11761629	C₂³	semidirect
270. C₂×#11761629	C₂³	semidirect
271. C₂×#11761629	C₂³	semidirect
272. C₂×#11761628	C₂³	semidirect
273. C₂×#11761628	C₂³	semidirect
274. C₂×#11761628	C₂³	semidirect
275. C₂×#11761628	C₂³	semidirect
276. C₂×#11761628	C₂³	semidirect
277. C₂×#11761628	C₂³	semidirect
278. C₂×#11761628	C₂³	semidirect
279. C₂×#11761627	C₂³	semidirect
280. C₂×#11761627	C₂³	semidirect
281. C₂×#11761627	C₂³	semidirect
282. C₂×#11761627	C₂³	semidirect
283. C₂×#11761627	C₂³	semidirect
284. C₂×#11761627	C₂³	semidirect
285. C₂×#11761627	C₂³	semidirect
289. C₂²×Dic₁₃₄	C₂³	semidirect
290. C₂²×Dic₁₃₄	C₂³	semidirect
296. C₂×Q₈×D₆₇	C₂³	semidirect
297. C₂×Q₈×D₆₇	C₂³	semidirect
340. #14524043	C₂³	semidirect
341. #14524042	C₂³	semidirect
342. #14524042	C₂³	semidirect
343. #14524042	C₂³	semidirect
344. #14524041	C₂³	semidirect
345. #14524038	C₂³	semidirect
346. #14524038	C₂³	semidirect
347. #14524038	C₂³	semidirect
348. #14524037	C₂³	semidirect
349. #14524036	C₂³	semidirect
350. #14524036	C₂³	semidirect
351. #14524036	C₂³	semidirect
352. #14524035	C₂³	semidirect
353. #14524034	C₂³	semidirect
354. #14524034	C₂³	semidirect
355. #14524033	C₂³	semidirect
356. #14524033	C₂³	semidirect
357. #14524033	C₂³	semidirect
358. #14524033	C₂³	semidirect
359. #14524032	C₂³	semidirect
360. #14524032	C₂³	semidirect
361. #14524032	C₂³	semidirect
362. #14524031	C₂³	semidirect
363. #14524031	C₂³	semidirect
364. #14524031	C₂³	semidirect
365. #14524030	C₂³	semidirect
366. #14524030	C₂³	semidirect
367. #14524030	C₂³	semidirect
368. #14524029	C₂³	semidirect
369. #14524029	C₂³	semidirect
370. #14524029	C₂³	semidirect
371. #14524029	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. #14524028	C₂³	semidirect
379. #14524028	C₂³	semidirect
380. #14524028	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. #14524028	C₂³	semidirect
388. #14524027	C₂³	semidirect
389. #14524027	C₂³	semidirect
390. #14524027	C₂³	semidirect
391. #14524027	C₂³	semidirect
392. #14524027	C₂³	semidirect
393. #14524026	C₂³	semidirect
394. #14524026	C₂³	semidirect
395. #14524026	C₂³	semidirect
396. #14524026	C₂³	semidirect
397. #14524026	C₂³	semidirect
398. #14524025	C₂³	semidirect
399. #14524025	C₂³	semidirect
400. #14524025	C₂³	semidirect
401. #14524025	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. #14524024	C₂³	semidirect
409. #14524024	C₂³	semidirect
410. #14524024	C₂³	semidirect
411. #14524024	C₂³	semidirect
412. #14524024	C₂³	semidirect
417. #14524023	C₂³	semidirect
418. #14524023	C₂³	semidirect
419. #14524023	C₂³	semidirect
420. #14524023	C₂³	semidirect
421. #14524023	C₂³	semidirect
422. #14524023	C₂³	semidirect
423. #14524023	C₂³	semidirect
424. #14524023	C₂³	semidirect
425. #14524023	C₂³	semidirect
430. #14524022	C₂³	semidirect
431. #14524022	C₂³	semidirect
432. #14524022	C₂³	semidirect
433. #14524022	C₂³	semidirect
434. #14524022	C₂³	semidirect
435. #14524022	C₂³	semidirect
436. #14524022	C₂³	semidirect
437. #14524022	C₂³	semidirect
438. #14524022	C₂³	semidirect
444. #14524021	C₂³	semidirect
445. #14524021	C₂³	semidirect
446. #14524021	C₂³	semidirect
447. #14524021	C₂³	semidirect
448. #14524021	C₂³	semidirect
449. #14524021	C₂³	semidirect
450. #14524021	C₂³	semidirect
451. #14524021	C₂³	semidirect
452. #14524021	C₂³	semidirect
453. #14524021	C₂³	semidirect
454. #14524021	C₂³	semidirect
455. #14524021	C₂³	semidirect
456. #14524021	C₂³	semidirect
457. #14524021	C₂³	semidirect
463. #14524020	C₂³	semidirect
464. #14524020	C₂³	semidirect
465. #14524020	C₂³	semidirect
466. #14524020	C₂³	semidirect
467. #14524020	C₂³	semidirect
468. #14524020	C₂³	semidirect
469. #14524020	C₂³	semidirect
470. #14524020	C₂³	semidirect
471. #14524020	C₂³	semidirect
472. #14524020	C₂³	semidirect
473. #14524020	C₂³	semidirect
474. #14524020	C₂³	semidirect
475. #14524020	C₂³	semidirect
476. #14524020	C₂³	semidirect
481. #14524019	C₂³	semidirect
482. #14524019	C₂³	semidirect
483. #14524019	C₂³	semidirect
484. #14524019	C₂³	semidirect
485. #14524019	C₂³	semidirect
486. #14524019	C₂³	semidirect
487. #14524019	C₂³	semidirect
488. #14524019	C₂³	semidirect
489. #14524019	C₂³	semidirect
495. #14524018	C₂³	semidirect
496. #14524018	C₂³	semidirect
497. #14524018	C₂³	semidirect
498. #14524018	C₂³	semidirect
499. #14524018	C₂³	semidirect
500. #14524018	C₂³	semidirect
501. #14524018	C₂³	semidirect
507. #14524017	C₂³	semidirect
508. #14524017	C₂³	semidirect
509. #14524017	C₂³	semidirect
510. #14524017	C₂³	semidirect
511. #14524017	C₂³	semidirect
512. #14524017	C₂³	semidirect
513. #14524017	C₂³	semidirect
519. #14524016	C₂³	semidirect
520. #14524016	C₂³	semidirect
521. #14524016	C₂³	semidirect
522. #14524016	C₂³	semidirect
523. #14524016	C₂³	semidirect
524. #14524016	C₂³	semidirect
525. #14524016	C₂³	semidirect
526. #14524016	C₂³	semidirect
527. #14524016	C₂³	semidirect
528. #14524016	C₂³	semidirect
529. #14524016	C₂³	semidirect
530. #14524016	C₂³	semidirect
536. #14524015	C₂³	semidirect
537. #14524015	C₂³	semidirect
538. #14524015	C₂³	semidirect
539. #14524015	C₂³	semidirect
540. #14524015	C₂³	semidirect
541. #14524015	C₂³	semidirect
542. #14524015	C₂³	semidirect
543. #14524015	C₂³	semidirect
544. #14524015	C₂³	semidirect
545. #14524015	C₂³	semidirect
546. #14524015	C₂³	semidirect
547. #14524015	C₂³	semidirect
553. #14524014	C₂³	semidirect
554. #14524014	C₂³	semidirect
555. #14524014	C₂³	semidirect
556. #14524014	C₂³	semidirect
557. #14524014	C₂³	semidirect
558. #14524014	C₂³	semidirect
559. #14524014	C₂³	semidirect
574. Q₈×Dic₆₇	C₂³	semidirect
575. C₄×Dic₁₃₄	C₂³	semidirect
576. C₄×Dic₁₃₄	C₂³	semidirect
577. #14524008	C₂³	semidirect
578. #14524008	C₂³	semidirect
581. C₄×D₂₆₈	C₂³	semidirect
582. C₄×D₂₆₈	C₂³	semidirect
583. C₄×D₂₆₈	C₂³	semidirect
586. D₄×Dic₆₇	C₂³	semidirect
587. D₄×Dic₆₇	C₂³	semidirect
588. D₄×Dic₆₇	C₂³	semidirect
591. #14524005	C₂³	semidirect
592. #14524005	C₂³	semidirect
593. #14524005	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
607. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
608. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
609. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
610. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
611. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
612. #14524002	C₂³	semidirect
613. #14524001	C₂³	semidirect
614. #14524001	C₂³	semidirect
615. #14524000	C₂³	semidirect
616. #14523999	C₂³	semidirect
618. C₂×C₄⋊Dic₆₇	C₂³	semidirect
619. C₂×C₄⋊Dic₆₇	C₂³	semidirect
620. C₂×C₄⋊Dic₆₇	C₂³	semidirect
622. C₂×Dic₆₇⋊C₄	C₂³	semidirect
623. C₂×Dic₆₇⋊C₄	C₂³	semidirect
624. C₂×Dic₆₇⋊C₄	C₂³	semidirect
625. C₂×Dic₆₇⋊C₄	C₂³	semidirect
642. C₄⋊C₄×D₆₇	C₂³	semidirect
643. C₄⋊C₄×D₆₇	C₂³	semidirect
644. C₄⋊C₄×D₆₇	C₂³	semidirect
645. C₄⋊C₄×D₆₇	C₂³	semidirect
646. C₄⋊C₄×D₆₇	C₂³	semidirect
647. C₄⋊C₄×D₆₇	C₂³	semidirect
648. C₄⋊C₄×D₆₇	C₂³	semidirect
682. C₂×#41×C₆₇	C₂³	semidirect
683. C₂×#41×C₆₇	C₂³	semidirect
684. C₂×#41×C₆₇	C₂³	semidirect
685. C₂²×Q₈×C₆₇	C₂³	semidirect
689. C₄⋊Q₈×C₆₇	C₂³	semidirect
690. #126×C₆₇	C₂³	semidirect
691. #125×C₆₇	C₂³	semidirect
692. #124×C₆₇	C₂³	semidirect
693. #124×C₆₇	C₂³	semidirect
694. #124×C₆₇	C₂³	semidirect
695. #123×C₆₇	C₂³	semidirect
696. #123×C₆₇	C₂³	semidirect
697. #123×C₆₇	C₂³	semidirect
698. #123×C₆₇	C₂³	semidirect
699. #123×C₆₇	C₂³	semidirect
704. C₂²⋊Q₈×C₆₇	C₂³	semidirect
705. C₂²⋊Q₈×C₆₇	C₂³	semidirect
706. C₂²⋊Q₈×C₆₇	C₂³	semidirect
707. C₂²⋊Q₈×C₆₇	C₂³	semidirect
708. C₂²⋊Q₈×C₆₇	C₂³	semidirect
709. C₂²⋊Q₈×C₆₇	C₂³	semidirect
710. C₂²⋊Q₈×C₆₇	C₂³	semidirect
711. C₂²⋊Q₈×C₆₇	C₂³	semidirect
712. C₂²⋊Q₈×C₆₇	C₂³	semidirect
718. #121×C₆₇	C₂³	semidirect
719. #121×C₆₇	C₂³	semidirect
720. #121×C₆₇	C₂³	semidirect
721. #121×C₆₇	C₂³	semidirect
722. #121×C₆₇	C₂³	semidirect
723. #121×C₆₇	C₂³	semidirect
724. #121×C₆₇	C₂³	semidirect
727. C₄×Q₈×C₆₇	C₂³	semidirect
730. C₄×D₄×C₆₇	C₂³	semidirect
731. C₄×D₄×C₆₇	C₂³	semidirect
732. C₄×D₄×C₆₇	C₂³	semidirect
733. #117×C₆₇	C₂³	semidirect
735. C₂×C₄⋊C₄×C₆₇	C₂³	semidirect
736. C₂×C₄⋊C₄×C₆₇	C₂³	semidirect
737. C₂×C₄⋊C₄×C₆₇	C₂³	semidirect
1311. D₆₇	#3536	direct (N × H)
1327. #3536	D₆₇	direct (N × H)
1343. C₆₇	C₂×#3536	semidirect
1366. #562	C₂×D₆₇	semidirect
1378. #554	C₂×D₆₇	semidirect
1390. #548	C₂×D₆₇	semidirect
1402. #547	C₂×D₆₇	semidirect
1429. #546	C₂×D₆₇	semidirect
1430. #546	C₂×D₆₇	semidirect
1440. #543	C₂×D₆₇	semidirect
1452. #542	C₂×D₆₇	semidirect
1462. #539	C₂×D₆₇	semidirect
1472. #538	C₂×D₆₇	semidirect
1493. #537	C₂×D₆₇	semidirect
1494. #537	C₂×D₆₇	semidirect
1512. #525	C₂×D₆₇	semidirect
1540. C₂×C₂²⋊Q₈	C₂×D₆₇	semidirect
1562. C₂×#121	C₂×D₆₇	semidirect
1601. C₂×#41	C₂²×D₆₇	semidirect
1602. C₂×#41	C₂²×D₆₇	semidirect
1603. C₂×#41	C₂²×D₆₇	semidirect
1613. C₂²×Q₈	C₂²×D₆₇	semidirect
1664. C₄⋊Q₈	C₂²×D₆₇	semidirect
1672. #126	C₂²×D₆₇	semidirect
1680. #125	C₂²×D₆₇	semidirect
1700. #124	C₂²×D₆₇	semidirect
1701. #124	C₂²×D₆₇	semidirect
1702. #124	C₂²×D₆₇	semidirect
1738. #123	C₂²×D₆₇	semidirect
1739. #123	C₂²×D₆₇	semidirect
1740. #123	C₂²×D₆₇	semidirect
1741. #123	C₂²×D₆₇	semidirect
1742. #123	C₂²×D₆₇	semidirect
1824. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1825. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1826. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1827. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1828. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1829. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1830. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1831. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1832. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1908. #121	C₂²×D₆₇	semidirect
1909. #121	C₂²×D₆₇	semidirect
1910. #121	C₂²×D₆₇	semidirect
1911. #121	C₂²×D₆₇	semidirect
1912. #121	C₂²×D₆₇	semidirect
1913. #121	C₂²×D₆₇	semidirect
1914. #121	C₂²×D₆₇	semidirect
1936. C₄×Q₈	C₂²×D₆₇	semidirect
1972. C₄×D₄	C₂²×D₆₇	semidirect
1973. C₄×D₄	C₂²×D₆₇	semidirect
1974. C₄×D₄	C₂²×D₆₇	semidirect
1980. #117	C₂²×D₆₇	semidirect
2014. C₂×C₄⋊C₄	C₂²×D₆₇	semidirect
2015. C₂×C₄⋊C₄	C₂²×D₆₇	semidirect
2016. C₂×C₄⋊C₄	C₂²×D₆₇	semidirect

Maximal subgroups

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

subgroup	index
#22574438	2
#22574437	2
#22574436	2
#22574435	2
#22574434	2
#22574433	2
#22574432	2
#22574431	2
#22574430	2
#22574429	2
#22574428	2
#22574427	2
#22574426	2
#22574425	2
#22574424	2
#562×D₆₇	2
#554×D₆₇	2
#548×D₆₇	2
#547×D₆₇	2
#546×D₆₇	2
#543×D₆₇	2
#542×D₆₇	2
#539×D₆₇	2
#538×D₆₇	2
#537×D₆₇	2
#525×D₆₇	2
C₂×C₂²⋊Q₈×D₆₇	2
C₂×#121×D₆₇	2
C₆₇×#3536	2
C₂×#3536	67

Subgroups — #3536×D67 #31763044

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — #3536×D₆₇ #31763044