Subgroups — #31764447

Order 17152.

9494 conjugacy classes of subgroups.

The subgroup lattice has 1524 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22574363	C₂	1	4	yes	maximal, complemented
2	#22574361	C₂	1	4	yes	maximal, complemented
3	#22574359	C₂	1	8	yes	maximal, complemented
4	#22574358	C₂	1	8	yes	maximal, complemented
5	#22573897	C₂	1	2	yes	maximal, complemented
6	#22573896	C₂	1	2	yes	maximal, complemented
7	#22573894	C₂	1	2	yes	maximal, complemented
8	#22573892	C₂	1	4	yes	maximal, complemented
9	#22573891	C₂	1	8	yes	maximal, complemented
10	#22573844	C₂	1	1	yes	maximal, characteristic, complemented
11	#22573841	C₂	1	2	yes	maximal, complemented
12	#22573840	C₂	1	2	yes	maximal, complemented
13	#22573838	C₂	1	4	yes	maximal, complemented
14	#22573837	C₂	1	8	yes	maximal, complemented
15	C₂²×#14524011	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#120×D₆₇	C₂	1	2	yes	maximal, complemented
17	C₆₇×#3484	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂⁵×D₆₇	C₂²	1	1	yes	characteristic, complemented
19	C₂×#14524088	C₂²	1	1	yes	characteristic, complemented
20	C₂×#14524088	C₂²	1	4	yes	complemented
21	C₂³×C₂²⋊D₆₇	C₂²	1	2	yes	complemented
22	C₂²×D₄×D₆₇	C₂²	1	2	yes	complemented
23	C₂²×D₄×D₆₇	C₂²	1	4	yes	complemented
24	#16864139	C₂²	1	4	yes	complemented
25	#16864138	C₂²	1	4	yes	complemented
26	#16864136	C₂²	1	4	yes	complemented
27	#16864134	C₂²	1	8	yes	complemented
28	#16864134	C₂²	1	8	yes	complemented
29	#16864133	C₂²	1	4	yes	complemented
30	#16864077	C₂²	1	8	yes	complemented
31	#16864076	C₂²	1	4	yes	complemented
32	#16864075	C₂²	1	8	yes	complemented
33	#16864075	C₂²	1	8	yes	complemented
34	#16864074	C₂²	1	4	yes	complemented
35	#16864073	C₂²	1	8	yes	complemented
36	#16864072	C₂²	1	8	yes	complemented
37	#16864070	C₂²	1	8	yes	complemented
38	#16864069	C₂²	1	8	yes	complemented
39	#16864069	C₂²	1	8	yes	complemented
40	#16864043	C₂²	1	8	yes	complemented
41	#16864042	C₂²	1	8	yes	complemented
42	#16864041	C₂²	1	8	yes	complemented
43	#16864040	C₂²	1	8	yes	complemented
44	#16864040	C₂²	1	8	yes	complemented
45	#16864038	C₂²	1	8	yes	complemented
46	#16864036	C₂²	1	8	yes	complemented
47	#16864036	C₂²	1	8	yes	complemented
48	#16864035	C₂²	1	8	yes	complemented
49	#16864035	C₂²	1	8	yes	complemented
50	#16864035	C₂²	1	8	yes	complemented
51	#16864034	C₂²	1	8	yes	complemented
52	#16864034	C₂²	1	8	yes	complemented
53	#16864033	C₂²	1	8	yes	complemented
54	#16864033	C₂²	1	8	yes	complemented
55	#16864033	C₂²	1	8	yes	complemented
56	#16864033	C₂²	1	8	yes	complemented
57	#16864031	C₂²	1	4	yes	complemented
58	#16864030	C₂²	1	8	yes	complemented
59	D₄×C₂²⋊D₆₇	C₂²	1	8	yes	complemented
60	D₄×C₂²⋊D₆₇	C₂²	1	8	yes	complemented
61	D₄×C₂²⋊D₆₇	C₂²	1	8	yes	complemented
62	D₄×C₂²⋊D₆₇	C₂²	1	8	yes	complemented
63	#16864028	C₂²	1	4	yes	complemented
64	#16864028	C₂²	1	8	yes	complemented
65	#16864028	C₂²	1	8	yes	complemented
66	#16864022	C₂²	1	2	yes	complemented
67	#16864021	C₂²	1	4	yes	complemented
68	#16863986	C₂²	1	4	yes	complemented
69	#16863983	C₂²	1	8	yes	complemented
70	#16863983	C₂²	1	4	yes	complemented
71	#16863982	C₂²	1	8	yes	complemented
72	#16863981	C₂²	1	8	yes	complemented
73	#16863980	C₂²	1	8	yes	complemented
74	#16863979	C₂²	1	8	yes	complemented
75	#16863979	C₂²	1	8	yes	complemented
76	#16863978	C₂²	1	8	yes	complemented
77	#16863978	C₂²	1	8	yes	complemented
78	#16863963	C₂²	1	2	yes	complemented
79	#16863962	C₂²	1	8	yes	complemented
80	#16863961	C₂²	1	8	yes	complemented
81	#16863961	C₂²	1	4	yes	complemented
82	#16863960	C₂²	1	4	yes	complemented
83	#16863959	C₂²	1	8	yes	complemented
84	#16863958	C₂²	1	4	yes	complemented
85	#16863957	C₂²	1	4	yes	complemented
86	#16863956	C₂²	1	8	yes	complemented
87	#16863956	C₂²	1	8	yes	complemented
88	#16863955	C₂²	1	2	yes	complemented
89	#16863955	C₂²	1	2	yes	complemented
90	#16863955	C₂²	1	4	yes	complemented
91	#16863955	C₂²	1	4	yes	complemented
92	#16863955	C₂²	1	2	yes	complemented
93	#16863954	C₂²	1	4	yes	complemented
94	#16863954	C₂²	1	8	yes	complemented
95	#16863907	C₂²	1	2	yes	complemented
96	#16863906	C₂²	1	8	yes	complemented
97	#16863905	C₂²	1	8	yes	complemented
98	#16863904	C₂²	1	4	yes	complemented
99	#16863903	C₂²	1	4	yes	complemented
100	#16863902	C₂²	1	8	yes	complemented
101	C₂×#14524013	C₂²	1	2	yes	complemented
102	C₂×#14524013	C₂²	1	4	yes	complemented
103	C₂×#14524012	C₂²	1	2	yes	complemented
104	C₂×#14524012	C₂²	1	2	yes	complemented
105	C₂×#14524011	C₂²	1	2	yes	complemented
106	C₂×#14524011	C₂²	1	2	yes	complemented
107	C₂×#14524011	C₂²	1	2	yes	complemented
108	C₂×#14524011	C₂²	1	8	yes	complemented
109	C₂×#14524011	C₂²	1	8	yes	complemented
110	C₂×#14524011	C₂²	1	4	yes	complemented
111	C₂×#14524011	C₂²	1	2	yes	complemented
112	C₂×#14524011	C₂²	1	2	yes	complemented
113	C₂×#14524011	C₂²	1	4	yes	complemented
114	#120×D₆₇	C₂²	1	8	yes	complemented
115	#120×D₆₇	C₂²	1	8	yes	complemented
116	#120×D₆₇	C₂²	1	8	yes	complemented
117	#120×D₆₇	C₂²	1	8	yes	complemented
118	#120×D₆₇	C₂²	1	4	yes	complemented
119	#16863871	C₂²	1	2	yes	complemented
120	#16863871	C₂²	1	1	yes	characteristic, complemented
121	#16863869	C₂²	1	2	yes	complemented
122	#16863869	C₂²	1	4	yes	complemented
123	#16863868	C₂²	1	8	yes	complemented
124	C₂²×C₂²⋊Dic₆₇	C₂²	1	1	yes	characteristic, complemented
125	C₂²×(C₂×D₆₇)⋊C₄	C₂²	1	2	yes	complemented
126	C₂×C₂²⋊C₄×D₆₇	C₂²	1	2	yes	complemented
127	C₂×C₂²⋊C₄×D₆₇	C₂²	1	4	yes	complemented
128	C₂×H(5,𝔽₂)×C₆₇	C₂²	1	1	yes	characteristic, complemented
129	C₂³×D₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
130	#546×C₆₇	C₂²	1	8	yes	complemented
131	D₄²×C₆₇	C₂²	1	8	yes	complemented
132	#535×C₆₇	C₂²	1	2	yes	complemented
133	#534×C₆₇	C₂²	1	2	yes	complemented
134	#534×C₆₇	C₂²	1	2	yes	complemented
135	#525×C₆₇	C₂²	1	2	yes	complemented
136	C₂×#120×C₆₇	C₂²	1	2	yes	complemented
137	C₂×#120×C₆₇	C₂²	1	2	yes	complemented
138	#518×C₆₇	C₂²	1	1	yes	characteristic, complemented
139	C₂⁴×D₆₇	—	4	4	no	—
140	C₂⁴×D₆₇	—	4	8	no	—
141	C₂⁴×D₆₇	C₂³	1	4	yes	—
142	C₂⁴×D₆₇	C₂³	1	2	yes	—
143	C₂⁴×D₆₇	C₂³	1	2	yes	—
144	C₂⁴×D₆₇	C₂³	1	2	yes	—
145	C₂⁴×D₆₇	C₂³	1	4	yes	—
146	C₂⁴×D₆₇	C₂³	1	2	yes	complemented
147	#14524088	—	4	4	no	—
148	#14524088	—	4	16	no	—
149	C₂×#11761628	C₂³	1	2	yes	complemented
150	C₂×#11761628	C₂³	1	8	yes	complemented
151	C₂×#11761627	C₂³	1	8	yes	complemented
152	C₂×#11761627	C₂³	1	4	yes	complemented
153	C₂×#11761627	C₂³	1	8	yes	complemented
154	C₂²×D₂₆₈	C₂³	1	4	yes	complemented
155	C₂²×D₂₆₈	C₂³	1	2	yes	complemented
156	C₂²×C₂²⋊D₆₇	—	4	8	no	—
157	C₂²×C₂²⋊D₆₇	C₂³	1	4	yes	—
158	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
159	C₂²×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
160	C₂²×C₂²⋊D₆₇	C₂³	1	8	yes	complemented
161	C₂²×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
162	C₂²×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
163	C₂²×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
164	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	complemented
165	C₂²×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
166	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	complemented
167	C₂²×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
168	C₂²×C₂²⋊D₆₇	C₂³	1	8	yes	complemented
169	C₂×D₄×D₆₇	—	4	8	no	—
170	C₂×D₄×D₆₇	—	4	16	no	—
171	C₂×D₄×D₆₇	C₂³	1	8	yes	—
172	C₂×D₄×D₆₇	C₂³	1	8	yes	complemented
173	C₂×D₄×D₆₇	C₂³	1	8	yes	complemented
174	C₂×D₄×D₆₇	C₂³	1	8	yes	complemented
175	C₂×D₄×D₆₇	C₂³	1	8	yes	complemented
176	C₂×D₄×D₆₇	C₂³	1	8	yes	complemented
177	C₂×D₄×D₆₇	C₂³	1	4	yes	complemented
178	C₂×D₄×D₆₇	C₂³	1	8	yes	complemented
179	C₂³×Dic₆₇	C₂³	1	2	yes	complemented
180	C₂²×C₄×D₆₇	C₂³	1	2	yes	complemented
181	C₂²×C₄×D₆₇	C₂³	1	4	yes	complemented
182	#14524039	C₂³	1	4	yes	complemented
183	#14524039	C₂³	1	8	yes	complemented
184	#14524039	C₂³	1	8	yes	complemented
185	#14524038	C₂³	1	8	yes	complemented
186	#14524038	C₂³	1	8	yes	complemented
187	#14524038	C₂³	1	8	yes	complemented
188	#14524037	C₂³	1	8	yes	complemented
189	#14524036	C₂³	1	8	yes	complemented
190	#14524036	C₂³	1	8	yes	complemented
191	#14524032	C₂³	1	8	yes	complemented
192	#14524031	C₂³	1	8	yes	complemented
193	#14524030	C₂³	1	4	yes	complemented
194	#14524030	C₂³	1	8	yes	complemented
195	#14524029	C₂³	1	8	yes	complemented
196	#14524029	C₂³	1	8	yes	complemented
197	#14524029	C₂³	1	8	yes	complemented
198	#14524029	C₂³	1	8	yes	complemented
199	#14524029	C₂³	1	8	yes	complemented
200	#14524028	C₂³	1	8	yes	complemented
201	#14524028	C₂³	1	8	yes	complemented
202	#14524028	C₂³	1	8	yes	complemented
203	#14524027	C₂³	1	8	yes	complemented
204	#14524027	C₂³	1	8	yes	complemented
205	#14524027	C₂³	1	8	yes	complemented
206	#14524026	C₂³	1	4	yes	complemented
207	#14524026	C₂³	1	4	yes	complemented
208	#14524026	C₂³	1	8	yes	complemented
209	#14524026	C₂³	1	8	yes	complemented
210	#14524025	C₂³	1	8	yes	complemented
211	#14524025	C₂³	1	8	yes	complemented
212	#14524025	C₂³	1	8	yes	complemented
213	#14524025	C₂³	1	8	yes	complemented
214	#14524024	C₂³	1	8	yes	complemented
215	#14524024	C₂³	1	4	yes	complemented
216	#14524024	C₂³	1	4	yes	complemented
217	#14524024	C₂³	1	8	yes	complemented
218	#14524024	C₂³	1	4	yes	complemented
219	#14524023	C₂³	1	8	yes	complemented
220	#14524022	C₂³	1	4	yes	complemented
221	#14524022	C₂³	1	8	yes	complemented
222	#14524021	C₂³	1	8	yes	complemented
223	#14524021	C₂³	1	8	yes	complemented
224	#14524020	C₂³	1	8	yes	complemented
225	#14524020	C₂³	1	8	yes	complemented
226	#14524020	C₂³	1	8	yes	complemented
227	#14524019	C₂³	1	8	yes	complemented
228	#14524018	C₂³	1	8	yes	complemented
229	#14524017	C₂³	1	4	yes	complemented
230	#14524017	C₂³	1	8	yes	complemented
231	#14524017	C₂³	1	8	yes	complemented
232	#14524017	C₂³	1	8	yes	complemented
233	#14524016	C₂³	1	8	yes	complemented
234	#14524016	C₂³	1	8	yes	complemented
235	#14524016	C₂³	1	8	yes	complemented
236	#14524016	C₂³	1	8	yes	complemented
237	#14524016	C₂³	1	8	yes	complemented
238	#14524015	C₂³	1	8	yes	complemented
239	#14524015	C₂³	1	8	yes	complemented
240	#14524015	C₂³	1	8	yes	complemented
241	#14524015	C₂³	1	8	yes	complemented
242	#14524015	C₂³	1	8	yes	complemented
243	#14524015	C₂³	1	8	yes	complemented
244	#14524015	C₂³	1	8	yes	complemented
245	#14524015	C₂³	1	8	yes	complemented
246	#14524015	C₂³	1	8	yes	complemented
247	#14524015	C₂³	1	8	yes	complemented
248	#14524014	C₂³	1	8	yes	complemented
249	#14524014	C₂³	1	8	yes	complemented
250	#14524014	C₂³	1	8	yes	complemented
251	#14524014	C₂³	1	8	yes	complemented
252	#14524013	C₂³	1	8	yes	—
253	#14524013	C₂³	1	8	yes	—
254	#14524013	C₂³	1	8	yes	complemented
255	#14524013	C₂³	1	4	yes	complemented
256	#14524013	C₂³	1	8	yes	complemented
257	#14524013	C₂³	1	4	yes	complemented
258	#14524013	C₂³	1	8	yes	complemented
259	#14524013	C₂³	1	8	yes	complemented
260	#14524013	C₂³	1	8	yes	complemented
261	#14524012	C₂³	1	8	yes	—
262	#14524012	C₂³	1	4	yes	complemented
263	#14524012	C₂³	1	4	yes	complemented
264	#14524012	C₂³	1	4	yes	complemented
265	#14524012	C₂³	1	8	yes	complemented
266	#14524012	C₂³	1	4	yes	complemented
267	#14524012	C₂³	1	8	yes	complemented
268	#14524011	C₂³	1	4	yes	—
269	#14524011	C₂³	1	8	yes	—
270	#14524011	C₂³	1	8	yes	—
271	#14524011	C₂³	1	8	yes	—
272	#14524011	C₂³	1	8	yes	—
273	#14524011	C₂³	1	4	yes	—
274	#14524011	C₂³	1	8	yes	complemented
275	#14524011	C₂³	1	4	yes	complemented
276	#14524011	C₂³	1	4	yes	complemented
277	#14524011	C₂³	1	4	yes	complemented
278	#14524011	C₂³	1	4	yes	complemented
279	#14524011	C₂³	1	8	yes	complemented
280	#14524011	C₂³	1	8	yes	complemented
281	#14524011	C₂³	1	4	yes	complemented
282	#14524011	C₂³	1	4	yes	complemented
283	#14524011	C₂³	1	8	yes	complemented
284	#14524011	C₂³	1	4	yes	complemented
285	#14524011	C₂³	1	8	yes	complemented
286	#14524011	C₂³	1	4	yes	complemented
287	#14524011	C₂³	1	4	yes	complemented
288	#14524011	C₂³	1	4	yes	complemented
289	#14524011	C₂³	1	4	yes	complemented
290	#14524011	C₂³	1	8	yes	complemented
291	#14524011	C₂³	1	8	yes	complemented
292	#14524011	C₂³	1	8	yes	complemented
293	C₄×D₂₆₈	C₂³	1	8	yes	complemented
294	D₄×Dic₆₇	C₂³	1	8	yes	complemented
295	D₄×Dic₆₇	C₂³	1	8	yes	complemented
296	D₄×Dic₆₇	C₂³	1	8	yes	complemented
297	D₄×Dic₆₇	C₂³	1	8	yes	complemented
298	#14524005	C₂³	1	8	yes	complemented
299	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	complemented
300	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	complemented
301	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	complemented
302	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	complemented
303	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	complemented
304	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	complemented
305	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	complemented
306	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	complemented
307	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	complemented
308	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	complemented
309	#14524002	C₂³	1	2	yes	complemented
310	#14524002	C₂³	1	4	yes	complemented
311	#14524001	C₂³	1	8	yes	complemented
312	#14524000	C₂³	1	8	yes	complemented
313	#14523999	C₂³	1	8	yes	complemented
314	#14523999	C₂³	1	4	yes	complemented
315	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	—
316	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	—
317	C₂×C₂²⋊Dic₆₇	C₂³	1	8	yes	complemented
318	C₂×C₂²⋊Dic₆₇	C₂³	1	4	yes	complemented
319	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	complemented
320	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	complemented
321	C₂×C₂²⋊Dic₆₇	C₂³	1	4	yes	complemented
322	C₂×C₂²⋊Dic₆₇	C₂³	1	4	yes	complemented
323	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	—
324	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	complemented
325	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	complemented
326	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	complemented
327	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	8	yes	complemented
328	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	complemented
329	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	complemented
330	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	complemented
331	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	8	yes	complemented
332	C₂²⋊C₄×D₆₇	C₂³	1	8	yes	—
333	C₂²⋊C₄×D₆₇	C₂³	1	8	yes	complemented
334	C₂²⋊C₄×D₆₇	C₂³	1	8	yes	complemented
335	C₂²⋊C₄×D₆₇	C₂³	1	8	yes	complemented
336	C₂²⋊C₄×D₆₇	C₂³	1	8	yes	complemented
337	C₂²⋊C₄×D₆₇	C₂³	1	8	yes	complemented
338	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
339	C₂²⋊C₄×D₆₇	C₂³	1	8	yes	complemented
340	C₂⁵×C₆₇	C₂³	1	1	yes	characteristic
341	C₂⁵×C₆₇	C₂³	1	1	yes	characteristic, complemented
342	H(5,𝔽₂)×C₆₇	—	4	4	no	—
343	C₂×#41×C₆₇	C₂³	1	2	yes	complemented
344	C₂×#41×C₆₇	C₂³	1	4	yes	complemented
345	C₂²×D₄×C₆₇	—	4	4	no	—
346	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
347	C₂²×D₄×C₆₇	C₂³	1	2	yes	—
348	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
349	C₂²×D₄×C₆₇	C₂³	1	8	yes	complemented
350	C₂²×D₄×C₆₇	C₂³	1	4	yes	complemented
351	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic, complemented
352	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic, complemented
353	C₂²×D₄×C₆₇	C₂³	1	2	yes	complemented
354	C₂²×D₄×C₆₇	C₂³	1	4	yes	complemented
355	C₂²×D₄×C₆₇	C₂³	1	4	yes	complemented
356	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic, complemented
357	#127×C₆₇	C₂³	1	4	yes	complemented
358	#124×C₆₇	C₂³	1	4	yes	complemented
359	#123×C₆₇	C₂³	1	4	yes	complemented
360	#123×C₆₇	C₂³	1	4	yes	complemented
361	#123×C₆₇	C₂³	1	4	yes	complemented
362	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	complemented
363	#121×C₆₇	C₂³	1	8	yes	complemented
364	#121×C₆₇	C₂³	1	8	yes	complemented
365	#121×C₆₇	C₂³	1	8	yes	complemented
366	#121×C₆₇	C₂³	1	4	yes	complemented
367	#120×C₆₇	C₂³	1	8	yes	—
368	#120×C₆₇	C₂³	1	4	yes	complemented
369	#120×C₆₇	C₂³	1	4	yes	complemented
370	#120×C₆₇	C₂³	1	4	yes	complemented
371	#120×C₆₇	C₂³	1	8	yes	complemented
372	#120×C₆₇	C₂³	1	4	yes	complemented
373	#120×C₆₇	C₂³	1	4	yes	complemented
374	C₄×D₄×C₆₇	C₂³	1	8	yes	complemented
375	C₄×D₄×C₆₇	C₂³	1	8	yes	complemented
376	#117×C₆₇	C₂³	1	2	yes	complemented
377	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	—
378	C₂×C₂²⋊C₄×C₆₇	C₂³	1	4	yes	complemented
379	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	complemented
380	C₂×C₂²⋊C₄×C₆₇	C₂³	1	4	yes	complemented
381	C₂³×D₆₇	—	2	8	no	—
382	C₂³×D₆₇	—	2	16	no	—
383	C₂³×D₆₇	—	2	8	no	—
384	C₂³×D₆₇	—	4	8	no	—
385	C₂³×D₆₇	—	4	8	no	—
386	C₂³×D₆₇	—	4	8	no	—
387	C₂³×D₆₇	—	4	8	no	—
388	C₂³×D₆₇	—	4	8	no	—
389	C₂³×D₆₇	—	4	8	no	—
390	C₂³×D₆₇	—	4	4	no	—
391	C₂³×D₆₇	—	4	4	no	—
392	C₂³×D₆₇	—	4	4	no	—
393	C₂³×D₆₇	—	4	8	no	—
394	C₂³×D₆₇	—	4	8	no	—
395	C₂³×D₆₇	—	4	4	no	—
396	C₂³×D₆₇	—	4	64	no	—
397	C₂³×D₆₇	C₂⁴	1	2	yes	—
398	C₂³×D₆₇	C₂⁴	1	2	yes	—
399	C₂³×D₆₇	C₂⁴	1	4	yes	—
400	C₂³×D₆₇	C₂⁴	1	4	yes	—
401	C₂³×D₆₇	C₂⁴	1	4	yes	—
402	C₂³×D₆₇	C₂⁴	1	4	yes	—
403	C₂³×D₆₇	C₂⁴	1	2	yes	—
404	C₂³×D₆₇	C₂⁴	1	8	yes	—
405	C₂³×D₆₇	C₂⁴	1	2	yes	—
406	C₂³×D₆₇	C₂⁴	1	2	yes	—
407	C₂³×D₆₇	C₂⁴	1	2	yes	—
408	C₂³×D₆₇	C₂⁴	1	2	yes	—
409	C₂³×D₆₇	C₂⁴	1	2	yes	complemented
410	#11761628	—	4	16	no	—
411	#11761628	—	4	4	no	—
412	#11761627	—	4	16	no	—
413	#11761627	—	4	8	no	—
414	#11761627	—	4	16	no	—
415	C₂×Dic₁₃₄	C₂⁴	1	8	yes	complemented
416	C₂×Dic₁₃₄	C₂⁴	1	2	yes	complemented
417	C₂×D₂₆₈	—	4	8	no	—
418	C₂×D₂₆₈	—	4	4	no	—
419	C₂×D₂₆₈	C₂⁴	1	8	yes	—
420	C₂×D₂₆₈	C₂⁴	1	8	yes	—
421	C₂×D₂₆₈	C₂⁴	1	8	yes	—
422	C₂×D₂₆₈	C₂⁴	1	2	yes	complemented
423	C₂×C₂²⋊D₆₇	—	2	8	no	—
424	C₂×C₂²⋊D₆₇	—	2	16	no	—
425	C₂×C₂²⋊D₆₇	—	4	4	no	—
426	C₂×C₂²⋊D₆₇	—	4	8	no	—
427	C₂×C₂²⋊D₆₇	—	4	8	no	—
428	C₂×C₂²⋊D₆₇	—	4	8	no	—
429	C₂×C₂²⋊D₆₇	—	4	16	no	—
430	C₂×C₂²⋊D₆₇	—	4	8	no	—
431	C₂×C₂²⋊D₆₇	—	4	16	no	—
432	C₂×C₂²⋊D₆₇	—	4	8	no	—
433	C₂×C₂²⋊D₆₇	—	4	8	no	—
434	C₂×C₂²⋊D₆₇	—	4	4	no	—
435	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
436	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
437	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
438	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
439	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
440	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
441	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
442	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
443	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
444	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
445	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
446	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	complemented
447	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	complemented
448	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	complemented
449	D₄×D₆₇	—	2	32	no	—
450	D₄×D₆₇	—	4	16	no	—
451	D₄×D₆₇	—	4	16	no	—
452	D₄×D₆₇	—	4	16	no	—
453	D₄×D₆₇	—	4	16	no	—
454	D₄×D₆₇	—	4	16	no	—
455	D₄×D₆₇	—	4	16	no	—
456	D₄×D₆₇	—	4	8	no	—
457	C₂²×Dic₆₇	—	4	4	no	—
458	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
459	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
460	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
461	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
462	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
463	C₂²×Dic₆₇	C₂⁴	1	8	yes	complemented
464	C₂²×Dic₆₇	C₂⁴	1	2	yes	complemented
465	C₂²×Dic₆₇	C₂⁴	1	4	yes	complemented
466	C₂×C₄×D₆₇	—	4	8	no	—
467	C₂×C₄×D₆₇	—	4	4	no	—
468	C₂×C₄×D₆₇	C₂⁴	1	8	yes	—
469	C₂×C₄×D₆₇	C₂⁴	1	8	yes	—
470	C₂×C₄×D₆₇	C₂⁴	1	8	yes	—
471	C₂×C₄×D₆₇	C₂⁴	1	8	yes	complemented
472	C₂×C₄×D₆₇	C₂⁴	1	4	yes	complemented
473	C₄⋊Dic₆₇	C₂⁴	1	8	yes	complemented
474	C₄⋊Dic₆₇	C₂⁴	1	4	yes	complemented
475	C₄⋊Dic₆₇	C₂⁴	1	8	yes	complemented
476	Dic₆₇⋊C₄	C₂⁴	1	8	yes	complemented
477	Dic₆₇⋊C₄	C₂⁴	1	8	yes	complemented
478	Dic₆₇⋊C₄	C₂⁴	1	8	yes	complemented
479	Dic₆₇⋊C₄	C₂⁴	1	8	yes	complemented
480	Dic₆₇⋊C₄	C₂⁴	1	8	yes	complemented
481	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	—
482	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
483	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
484	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	—
485	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
486	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
487	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
488	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
489	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	complemented
490	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	complemented
491	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	complemented
492	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	complemented
493	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
494	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
495	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
496	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
497	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
498	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
499	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
500	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
501	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
502	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
503	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	complemented
504	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	complemented
505	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	complemented
506	C₄×Dic₆₇	C₂⁴	1	8	yes	complemented
507	C₄×Dic₆₇	C₂⁴	1	8	yes	complemented
508	C₄×Dic₆₇	C₂⁴	1	4	yes	complemented
509	C₂⁴×C₆₇	—	2	4	no	—
510	C₂⁴×C₆₇	—	4	4	no	—
511	C₂⁴×C₆₇	—	4	2	no	—
512	C₂⁴×C₆₇	—	4	4	no	—
513	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
514	C₂⁴×C₆₇	C₂⁴	1	4	yes	—
515	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
516	C₂⁴×C₆₇	C₂⁴	1	4	yes	—
517	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
518	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
519	C₂⁴×C₆₇	C₂⁴	1	2	yes	—
520	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
521	C₂⁴×C₆₇	C₂⁴	1	2	yes	complemented
522	#41×C₆₇	—	4	4	no	—
523	#41×C₆₇	—	4	8	no	—
524	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	complemented
525	C₂×D₄×C₆₇	—	2	4	no	—
526	C₂×D₄×C₆₇	—	2	4	no	—
527	C₂×D₄×C₆₇	—	2	8	no	—
528	C₂×D₄×C₆₇	—	4	2	no	—
529	C₂×D₄×C₆₇	—	4	2	no	—
530	C₂×D₄×C₆₇	—	4	16	no	—
531	C₂×D₄×C₆₇	—	4	8	no	—
532	C₂×D₄×C₆₇	—	4	4	no	—
533	C₂×D₄×C₆₇	—	4	8	no	—
534	C₂×D₄×C₆₇	—	4	8	no	—
535	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
536	C₂×D₄×C₆₇	C₂⁴	1	8	yes	—
537	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
538	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
539	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
540	C₂×D₄×C₆₇	C₂⁴	1	8	yes	—
541	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
542	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
543	C₂×D₄×C₆₇	C₂⁴	1	8	yes	complemented
544	C₂×D₄×C₆₇	C₂⁴	1	4	yes	complemented
545	C₂×D₄×C₆₇	C₂⁴	1	2	yes	complemented
546	C₂²×C₄×C₆₇	—	4	2	no	—
547	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
548	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
549	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
550	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
551	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
552	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	complemented
553	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	complemented
554	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	complemented
555	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	complemented
556	C₄⋊C₄×C₆₇	C₂⁴	1	8	yes	complemented
557	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
558	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
559	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	—
560	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	—
561	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	complemented
562	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	complemented
563	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	complemented
564	C₄²×C₆₇	C₂⁴	1	4	yes	complemented
565	C₂³×C₆₇	—	2	2	no	—
566	C₂³×C₆₇	—	2	4	no	—
567	C₂³×C₆₇	—	2	8	no	—
568	C₂³×C₆₇	—	2	2	no	—
569	C₂³×C₆₇	—	2	8	no	—
570	C₂³×C₆₇	—	2	2	no	—
571	C₂³×C₆₇	—	2	4	no	—
572	C₂³×C₆₇	—	2	2	no	—
573	C₂³×C₆₇	—	2	8	no	—
574	C₂³×C₆₇	—	4	2	no	—
575	C₂³×C₆₇	—	4	4	no	—
576	C₂³×C₆₇	—	4	2	no	—
577	C₂³×C₆₇	—	4	4	no	—
578	C₂³×C₆₇	—	4	4	no	—
579	C₂³×C₆₇	—	4	2	no	—
580	C₂³×C₆₇	—	4	4	no	—
581	C₂³×C₆₇	—	4	2	no	—
582	C₂³×C₆₇	—	4	2	no	—
583	C₂³×C₆₇	—	4	4	no	—
584	C₂³×C₆₇	—	4	16	no	—
585	C₂³×C₆₇	—	8	8	no	—
586	C₂³×C₆₇	H(5,𝔽₂)	1	4	yes	complemented
587	C₂³×C₆₇	C₂⁵	1	2	yes	—
588	C₂³×C₆₇	C₂⁵	1	2	yes	—
589	C₂³×C₆₇	C₂⁵	1	2	yes	—
590	C₂³×C₆₇	C₂⁵	1	4	yes	—
591	C₂³×C₆₇	C₂⁵	1	2	yes	—
592	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
593	C₂³×C₆₇	C₂⁵	1	2	yes	—
594	C₂²×D₆₇	—	2	4	no	—
595	C₂²×D₆₇	—	2	8	no	—
596	C₂²×D₆₇	—	2	8	no	—
597	C₂²×D₆₇	—	2	8	no	—
598	C₂²×D₆₇	—	2	8	no	—
599	C₂²×D₆₇	—	2	4	no	—
600	C₂²×D₆₇	—	2	4	no	—
601	C₂²×D₆₇	—	2	4	no	—
602	C₂²×D₆₇	—	2	8	no	—
603	C₂²×D₆₇	—	2	8	no	—
604	C₂²×D₆₇	—	2	8	no	—
605	C₂²×D₆₇	—	2	8	no	—
606	C₂²×D₆₇	—	2	8	no	—
607	C₂²×D₆₇	—	2	16	no	—
608	C₂²×D₆₇	—	4	2	no	—
609	C₂²×D₆₇	—	4	2	no	—
610	C₂²×D₆₇	—	4	2	no	—
611	C₂²×D₆₇	—	4	4	no	—
612	C₂²×D₆₇	—	4	4	no	—
613	C₂²×D₆₇	—	4	4	no	—
614	C₂²×D₆₇	—	4	4	no	—
615	C₂²×D₆₇	—	4	4	no	—
616	C₂²×D₆₇	—	4	2	no	—
617	C₂²×D₆₇	—	4	2	no	—
618	C₂²×D₆₇	—	4	2	no	—
619	C₂²×D₆₇	—	4	4	no	—
620	C₂²×D₆₇	—	4	4	no	—
621	C₂²×D₆₇	—	4	8	no	—
622	C₂²×D₆₇	—	4	8	no	—
623	C₂²×D₆₇	—	4	4	no	—
624	C₂²×D₆₇	—	4	4	no	—
625	C₂²×D₆₇	—	4	2	no	—
626	C₂²×D₆₇	—	4	64	no	—
627	C₂²×D₆₇	—	4	32	no	—
628	C₂²×D₆₇	—	4	32	no	—
629	C₂²×D₆₇	—	4	32	no	—
630	C₂²×D₆₇	—	4	64	no	—
631	C₂²×D₆₇	—	8	16	no	—
632	C₂²×D₆₇	H(5,𝔽₂)	1	8	yes	complemented
633	C₂²×D₆₇	C₂⁵	1	4	yes	—
634	C₂²×D₆₇	C₂⁵	1	4	yes	—
635	C₂²×D₆₇	C₂⁵	1	4	yes	—
636	Q₈×C₆₇	—	4	2	no	—
637	D₄×C₆₇	—	2	8	no	—
638	D₄×C₆₇	—	2	8	no	—
639	D₄×C₆₇	—	2	8	no	—
640	D₄×C₆₇	—	2	8	no	—
641	D₄×C₆₇	—	2	16	no	—
642	D₄×C₆₇	—	4	4	no	—
643	D₄×C₆₇	—	4	4	no	—
644	D₄×C₆₇	—	4	4	no	—
645	D₄×C₆₇	—	4	2	no	—
646	D₄×C₆₇	—	4	8	no	—
647	D₄×C₆₇	—	4	8	no	—
648	C₂×C₄×C₆₇	—	2	2	no	—
649	C₂×C₄×C₆₇	—	2	2	no	—
650	C₂×C₄×C₆₇	—	2	4	no	—
651	C₂×C₄×C₆₇	—	4	4	no	—
652	C₂×C₄×C₆₇	—	4	4	no	—
653	C₂×C₄×C₆₇	—	4	2	no	—
654	C₂×C₄×C₆₇	—	4	4	no	—
655	C₂×C₄×C₆₇	—	4	4	no	—
656	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
657	C₂×C₄×C₆₇	C₂⁵	1	8	yes	—
658	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
659	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
660	C₂²⋊D₆₇	—	2	16	no	—
661	C₂²⋊D₆₇	—	2	8	no	—
662	C₂²⋊D₆₇	—	2	8	no	—
663	C₂²⋊D₆₇	—	2	16	no	—
664	C₂²⋊D₆₇	—	2	16	no	—
665	C₂²⋊D₆₇	—	2	16	no	—
666	C₂²⋊D₆₇	—	4	8	no	—
667	C₂²⋊D₆₇	—	4	8	no	—
668	C₂²⋊D₆₇	—	4	8	no	—
669	C₂²⋊D₆₇	—	4	4	no	—
670	C₂²⋊D₆₇	—	4	8	no	—
671	C₂²⋊D₆₇	—	4	8	no	—
672	C₂²⋊D₆₇	—	4	8	no	—
673	C₂²⋊D₆₇	—	4	8	no	—
674	C₂×Dic₆₇	—	2	4	no	—
675	C₂×Dic₆₇	—	2	8	no	—
676	C₂×Dic₆₇	—	4	4	no	—
677	C₂×Dic₆₇	—	4	4	no	—
678	C₂×Dic₆₇	—	4	4	no	—
679	C₂×Dic₆₇	—	4	4	no	—
680	C₂×Dic₆₇	—	4	8	no	—
681	C₂×Dic₆₇	—	4	2	no	—
682	C₂×Dic₆₇	C₂⁵	1	8	yes	—
683	C₂×Dic₆₇	C₂⁵	1	8	yes	—
684	C₂×Dic₆₇	C₂⁵	1	4	yes	—
685	D₂₆₈	—	2	16	no	—
686	D₂₆₈	—	4	8	no	—
687	D₂₆₈	—	4	8	no	—
688	D₂₆₈	—	4	2	no	—
689	C₄×D₆₇	—	2	16	no	—
690	C₄×D₆₇	—	4	8	no	—
691	C₄×D₆₇	—	4	8	no	—
692	C₄×D₆₇	—	4	4	no	—
693	C₄×D₆₇	—	4	8	no	—
694	Dic₁₃₄	—	4	8	no	—
695	Dic₁₃₄	—	4	2	no	—
696	C₂²×C₆₇	—	2	8	no	—
697	C₂²×C₆₇	—	2	2	no	—
698	C₂²×C₆₇	—	2	2	no	—
699	C₂²×C₆₇	—	2	4	no	—
700	C₂²×C₆₇	—	2	2	no	—
701	C₂²×C₆₇	—	2	4	no	—
702	C₂²×C₆₇	—	2	8	no	—
703	C₂²×C₆₇	—	2	2	no	—
704	C₂²×C₆₇	—	2	4	no	—
705	C₂²×C₆₇	—	2	4	no	—
706	C₂²×C₆₇	—	2	4	no	—
707	C₂²×C₆₇	—	2	2	no	—
708	C₂²×C₆₇	—	2	2	no	—
709	C₂²×C₆₇	—	4	4	no	—
710	C₂²×C₆₇	—	4	16	no	—
711	C₂²×C₆₇	—	4	4	no	—
712	C₂²×C₆₇	—	8	4	no	—
713	C₂²×C₆₇	—	8	2	no	—
714	C₂²×C₆₇	—	8	8	no	—
715	C₂²×C₆₇	—	8	2	no	—
716	C₂²×C₆₇	—	16	2	no	—
717	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	4	yes	—
718	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	4	yes	—
719	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
720	C₂²×C₆₇	C₂⁶	1	1	yes	characteristic
721	C₂×D₆₇	—	2	16	no	—
722	C₂×D₆₇	—	2	4	no	—
723	C₂×D₆₇	—	2	4	no	—
724	C₂×D₆₇	—	2	8	no	—
725	C₂×D₆₇	—	2	4	no	—
726	C₂×D₆₇	—	2	4	no	—
727	C₂×D₆₇	—	2	4	no	—
728	C₂×D₆₇	—	2	4	no	—
729	C₂×D₆₇	—	4	8	no	—
730	C₂×D₆₇	—	4	8	no	—
731	C₂×D₆₇	—	4	16	no	—
732	C₂×D₆₇	—	4	16	no	—
733	C₂×D₆₇	—	4	16	no	—
734	C₂×D₆₇	—	4	16	no	—
735	C₂×D₆₇	—	4	8	no	—
736	C₂×D₆₇	—	4	8	no	—
737	C₂×D₆₇	—	4	8	no	—
738	C₂×D₆₇	—	8	16	no	—
739	C₂×D₆₇	—	8	4	no	—
740	C₂×D₆₇	—	16	2	no	—
741	C₂×D₆₇	C₂×H(5,𝔽₂)	1	8	yes	—
742	C₄×C₆₇	—	2	8	no	—
743	C₄×C₆₇	—	2	2	no	—
744	C₄×C₆₇	—	2	4	no	—
745	C₄×C₆₇	—	2	2	no	—
746	Dic₆₇	—	2	8	no	—
747	Dic₆₇	—	2	4	no	—
748	Dic₆₇	—	2	8	no	—
749	#62817	—	67	1	no	maximal, Sylow
750	C₂×C₆₇	—	2	4	no	—
751	C₂×C₆₇	—	2	4	no	—
752	C₂×C₆₇	—	2	2	no	—
753	C₂×C₆₇	—	4	2	no	—
754	C₂×C₆₇	—	4	4	no	—
755	C₂×C₆₇	—	4	2	no	—
756	C₂×C₆₇	—	4	2	no	—
757	C₂×C₆₇	C₂²×H(5,𝔽₂)	1	2	yes	—
758	C₂×C₆₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
759	D₆₇	—	2	8	no	—
760	D₆₇	—	4	4	no	—
761	D₆₇	—	4	4	no	—
762	#3532	—	67	8	no	—
763	#3532	—	67	8	no	—
764	#3532	—	67	4	no	—
765	#3532	—	67	4	no	—
766	#3490	—	67	8	no	—
767	#3490	—	67	2	no	—
768	#3490	—	67	4	no	—
769	#3490	—	67	2	no	—
770	#3490	—	67	2	no	—
771	#3484	—	67	2	no	—
772	#3484	—	67	1	no	—
773	#3484	—	67	8	no	—
774	#3484	—	67	2	no	—
775	#3484	—	67	4	no	—
776	#3484	D₆₇	1	1	yes	characteristic, complemented
777	C₂²×#120	—	67	1	no	—
778	C₂²×#120	—	67	2	no	—
779	C₆₇	#62817	1	1	yes	characteristic, complemented, Sylow
780	C₂⁶	—	67	1	no	—
781	C₂×H(5,𝔽₂)	—	67	1	no	—
782	C₂×H(5,𝔽₂)	—	67	4	no	—
783	C₂×H(5,𝔽₂)	C₂×D₆₇	1	1	yes	characteristic, complemented
784	C₂³×D₄	—	67	2	no	—
785	C₂³×D₄	—	67	2	no	—
786	C₂³×D₄	—	67	4	no	—
787	C₂³×D₄	C₂×D₆₇	1	1	yes	characteristic, complemented
788	H(3,𝔽₄)	—	67	4	no	—
789	H(3,𝔽₄)	—	67	4	no	—
790	#560	—	67	4	no	—
791	#560	—	67	4	no	—
792	#560	—	67	8	no	—
793	#560	—	67	8	no	—
794	#551	—	67	4	no	—
795	#551	—	67	8	no	—
796	#551	—	67	8	no	—
797	#551	—	67	4	no	—
798	#551	—	67	8	no	—
799	#551	—	67	8	no	—
800	#551	—	67	8	no	—
801	#551	—	67	8	no	—
802	#551	—	67	8	no	—
803	#551	—	67	8	no	—
804	#546	—	67	8	no	—
805	#546	—	67	8	no	—
806	#546	—	67	8	no	—
807	#546	—	67	8	no	—
808	#546	—	67	8	no	—
809	#546	—	67	8	no	—
810	#546	—	67	8	no	—
811	#546	—	67	8	no	—
812	#546	—	67	8	no	—
813	#546	—	67	8	no	—
814	#546	—	67	8	no	—
815	#546	—	67	8	no	—
816	#546	—	67	8	no	—
817	#546	—	67	8	no	—
818	#546	—	67	8	no	—
819	#546	—	67	8	no	—
820	#546	—	67	8	no	—
821	#546	C₂×D₆₇	1	8	yes	complemented
822	D₄²	—	67	8	no	—
823	D₄²	—	67	8	no	—
824	D₄²	—	67	8	no	—
825	D₄²	—	67	8	no	—
826	D₄²	—	67	4	no	—
827	D₄²	—	67	8	no	—
828	D₄²	—	67	8	no	—
829	D₄²	—	67	8	no	—
830	D₄²	—	67	4	no	—
831	D₄²	C₂×D₆₇	1	8	yes	complemented
832	#543	—	67	4	no	—
833	#543	—	67	2	no	—
834	#538	—	67	8	no	—
835	#538	—	67	8	no	—
836	#538	—	67	4	no	—
837	#538	—	67	8	no	—
838	#538	—	67	8	no	—
839	#538	—	67	8	no	—
840	#538	—	67	4	no	—
841	#538	—	67	8	no	—
842	#538	—	67	8	no	—
843	#538	—	67	8	no	—
844	#535	—	67	4	no	—
845	#535	—	67	2	no	—
846	#535	—	67	8	no	—
847	#535	—	67	8	no	—
848	#535	—	67	4	no	—
849	#535	—	67	8	no	—
850	#535	C₂×D₆₇	1	2	yes	complemented
851	#534	—	67	2	no	—
852	#534	—	67	2	no	—
853	#534	—	67	2	no	—
854	#534	—	67	4	no	—
855	#534	—	67	4	no	—
856	#534	—	67	4	no	—
857	#534	—	67	4	no	—
858	#534	—	67	8	no	—
859	#534	—	67	8	no	—
860	#534	—	67	8	no	—
861	#534	—	67	4	no	—
862	#534	C₂×D₆₇	1	2	yes	complemented
863	#534	C₂×D₆₇	1	2	yes	complemented
864	#525	—	67	4	no	—
865	#525	—	67	2	no	—
866	#525	—	67	4	no	—
867	#525	—	67	8	no	—
868	#525	—	67	8	no	—
869	#525	—	67	8	no	—
870	#525	C₂×D₆₇	1	2	yes	complemented
871	C₂×#120	—	67	2	no	—
872	C₂×#120	—	67	2	no	—
873	C₂×#120	—	67	2	no	—
874	C₂×#120	—	67	2	no	—
875	C₂×#120	—	67	2	no	—
876	C₂×#120	—	67	8	no	—
877	C₂×#120	—	67	2	no	—
878	C₂×#120	—	67	2	no	—
879	C₂×#120	—	67	8	no	—
880	C₂×#120	—	67	4	no	—
881	C₂×#120	—	67	4	no	—
882	C₂×#120	—	67	8	no	—
883	C₂×#120	—	67	8	no	—
884	C₂×#120	—	67	8	no	—
885	C₂×#120	—	67	8	no	—
886	C₂×#120	—	67	4	no	—
887	C₂×#120	—	67	2	no	—
888	C₂×#120	—	67	4	no	—
889	C₂×#120	C₂×D₆₇	1	2	yes	complemented
890	C₂×#120	C₂×D₆₇	1	2	yes	complemented
891	#518	—	67	1	no	—
892	#518	—	67	2	no	—
893	#518	—	67	8	no	—
894	#518	—	67	2	no	—
895	#518	—	67	4	no	—
896	#518	C₂×D₆₇	1	1	yes	characteristic, complemented
897	C₂²×C₂²⋊C₄	—	67	1	no	—
898	C₂²×C₂²⋊C₄	—	67	2	no	—
899	C₂²×C₂²⋊C₄	—	67	2	no	—
900	C₂²×C₂²⋊C₄	—	67	4	no	—
901	C₂⁵	—	268	4	no	—
902	C₂⁵	—	268	8	no	—
903	C₂⁵	—	67	4	no	—
904	C₂⁵	—	67	2	no	—
905	C₂⁵	—	67	2	no	—
906	C₂⁵	—	67	2	no	—
907	C₂⁵	—	67	4	no	—
908	C₂⁵	—	67	2	no	—
909	C₂⁵	C₂²×D₆₇	1	1	yes	characteristic
910	C₂⁵	C₂²×D₆₇	1	1	yes	characteristic, complemented
911	H(5,𝔽₂)	—	4	4	no	—
912	H(5,𝔽₂)	—	268	4	no	—
913	H(5,𝔽₂)	—	268	16	no	—
914	C₂×#41	—	67	4	no	—
915	C₂×#41	—	67	8	no	—
916	C₂×#41	—	67	8	no	—
917	C₂×#41	—	67	2	no	—
918	C₂×#41	—	67	8	no	—
919	C₂×#41	C₂²×D₆₇	1	4	yes	complemented
920	C₂×#41	C₂²×D₆₇	1	2	yes	complemented
921	C₂²×D₄	—	4	4	no	—
922	C₂²×D₄	—	268	8	no	—
923	C₂²×D₄	—	268	16	no	—
924	C₂²×D₄	—	268	8	no	—
925	C₂²×D₄	—	67	2	no	—
926	C₂²×D₄	—	67	4	no	—
927	C₂²×D₄	—	67	4	no	—
928	C₂²×D₄	—	67	4	no	—
929	C₂²×D₄	—	67	4	no	—
930	C₂²×D₄	—	67	8	no	—
931	C₂²×D₄	—	67	4	no	—
932	C₂²×D₄	—	67	2	no	—
933	C₂²×D₄	—	67	4	no	—
934	C₂²×D₄	—	67	8	no	—
935	C₂²×D₄	—	67	8	no	—
936	C₂²×D₄	—	67	8	no	—
937	C₂²×D₄	—	67	8	no	—
938	C₂²×D₄	—	67	8	no	—
939	C₂²×D₄	—	67	8	no	—
940	C₂²×D₄	—	67	4	no	—
941	C₂²×D₄	—	67	8	no	—
942	C₂²×D₄	—	67	4	no	—
943	C₂²×D₄	—	67	2	no	—
944	C₂²×D₄	—	67	8	no	—
945	C₂²×D₄	—	67	2	no	—
946	C₂²×D₄	—	67	4	no	—
947	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
948	C₂²×D₄	C₂²×D₆₇	1	2	yes	—
949	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
950	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic, complemented
951	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic, complemented
952	C₂²×D₄	C₂²×D₆₇	1	8	yes	complemented
953	C₂²×D₄	C₂²×D₆₇	1	4	yes	complemented
954	C₂²×D₄	C₂²×D₆₇	1	4	yes	complemented
955	C₂²×D₄	C₂²×D₆₇	1	4	yes	complemented
956	C₂²×D₄	C₂²×D₆₇	1	2	yes	complemented
957	C₂³×C₄	—	67	2	no	—
958	C₂³×C₄	—	67	2	no	—
959	C₂³×C₄	—	67	4	no	—
960	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic, complemented
961	#127	—	67	4	no	—
962	#127	—	67	8	no	—
963	#127	—	67	8	no	—
964	#127	C₂²×D₆₇	1	4	yes	complemented
965	#126	—	67	8	no	—
966	#126	—	67	8	no	—
967	#126	—	67	8	no	—
968	#126	—	67	8	no	—
969	#126	—	67	8	no	—
970	#126	—	67	8	no	—
971	#124	—	67	8	no	—
972	#124	—	67	4	no	—
973	#124	—	67	8	no	—
974	#124	—	67	8	no	—
975	#124	—	67	8	no	—
976	#124	—	67	8	no	—
977	#124	—	67	8	no	—
978	#124	—	67	8	no	—
979	#124	—	67	8	no	—
980	#124	C₂²×D₆₇	1	4	yes	complemented
981	#123	—	67	4	no	—
982	#123	—	67	8	no	—
983	#123	—	67	4	no	—
984	#123	—	67	4	no	—
985	#123	—	67	8	no	—
986	#123	—	67	4	no	—
987	#123	—	67	4	no	—
988	#123	—	67	8	no	—
989	#123	—	67	8	no	—
990	#123	—	67	8	no	—
991	#123	—	67	8	no	—
992	#123	—	67	8	no	—
993	#123	—	67	8	no	—
994	#123	—	67	8	no	—
995	#123	—	67	8	no	—
996	#123	—	67	8	no	—
997	#123	—	67	8	no	—
998	#123	—	67	8	no	—
999	#123	—	67	8	no	—
1000	#123	C₂²×D₆₇	1	4	yes	complemented
1001	#123	C₂²×D₆₇	1	4	yes	complemented
1002	#123	C₂²×D₆₇	1	4	yes	complemented
1003	C₂²⋊Q₈	—	67	8	no	—
1004	C₂²⋊Q₈	—	67	4	no	—
1005	C₂²⋊Q₈	—	67	8	no	—
1006	C₂²⋊Q₈	—	67	8	no	—
1007	C₂²⋊Q₈	—	67	8	no	—
1008	C₂²⋊Q₈	—	67	8	no	—
1009	C₂²⋊Q₈	—	67	8	no	—
1010	C₂²⋊Q₈	—	67	8	no	—
1011	C₂²⋊Q₈	—	67	8	no	—
1012	C₂²⋊Q₈	C₂²×D₆₇	1	4	yes	complemented
1013	#121	—	67	8	no	—
1014	#121	—	67	8	no	—
1015	#121	—	67	8	no	—
1016	#121	—	67	8	no	—
1017	#121	—	67	8	no	—
1018	#121	—	67	8	no	—
1019	#121	—	67	8	no	—
1020	#121	—	67	8	no	—
1021	#121	—	67	8	no	—
1022	#121	—	67	8	no	—
1023	#121	—	67	8	no	—
1024	#121	—	67	8	no	—
1025	#121	—	67	8	no	—
1026	#121	—	67	8	no	—
1027	#121	—	67	4	no	—
1028	#121	—	67	8	no	—
1029	#121	—	67	8	no	—
1030	#121	—	67	8	no	—
1031	#121	—	67	8	no	—
1032	#121	—	67	8	no	—
1033	#121	—	67	8	no	—
1034	#121	—	67	8	no	—
1035	#121	—	67	8	no	—
1036	#121	—	67	8	no	—
1037	#121	C₂²×D₆₇	1	8	yes	complemented
1038	#121	C₂²×D₆₇	1	8	yes	complemented
1039	#121	C₂²×D₆₇	1	8	yes	complemented
1040	#121	C₂²×D₆₇	1	4	yes	complemented
1041	#120	—	67	4	no	—
1042	#120	—	67	4	no	—
1043	#120	—	67	8	no	—
1044	#120	—	67	4	no	—
1045	#120	—	67	8	no	—
1046	#120	—	67	4	no	—
1047	#120	—	67	8	no	—
1048	#120	—	67	4	no	—
1049	#120	—	67	4	no	—
1050	#120	—	67	4	no	—
1051	#120	—	67	4	no	—
1052	#120	—	67	4	no	—
1053	#120	—	67	8	no	—
1054	#120	—	67	4	no	—
1055	#120	—	67	8	no	—
1056	#120	—	67	8	no	—
1057	#120	—	67	8	no	—
1058	#120	—	67	8	no	—
1059	#120	—	67	8	no	—
1060	#120	—	67	8	no	—
1061	#120	—	67	8	no	—
1062	#120	—	67	4	no	—
1063	#120	—	67	4	no	—
1064	#120	—	67	4	no	—
1065	#120	—	67	4	no	—
1066	#120	—	67	8	no	—
1067	#120	—	67	4	no	—
1068	#120	—	67	4	no	—
1069	#120	—	67	4	no	—
1070	#120	—	67	8	no	—
1071	#120	—	67	8	no	—
1072	#120	—	67	8	no	—
1073	#120	—	67	4	no	—
1074	#120	—	67	8	no	—
1075	#120	—	67	4	no	—
1076	#120	—	67	8	no	—
1077	#120	—	67	8	no	—
1078	#120	—	67	8	no	—
1079	#120	—	67	8	no	—
1080	#120	—	67	8	no	—
1081	#120	—	67	8	no	—
1082	#120	C₂²×D₆₇	1	8	yes	—
1083	#120	C₂²×D₆₇	1	4	yes	complemented
1084	#120	C₂²×D₆₇	1	4	yes	complemented
1085	#120	C₂²×D₆₇	1	4	yes	complemented
1086	#120	C₂²×D₆₇	1	8	yes	complemented
1087	#120	C₂²×D₆₇	1	4	yes	complemented
1088	#120	C₂²×D₆₇	1	4	yes	complemented
1089	C₄×D₄	—	67	8	no	—
1090	C₄×D₄	—	67	8	no	—
1091	C₄×D₄	—	67	8	no	—
1092	C₄×D₄	—	67	8	no	—
1093	C₄×D₄	—	67	8	no	—
1094	C₄×D₄	—	67	8	no	—
1095	C₄×D₄	—	67	8	no	—
1096	C₄×D₄	—	67	8	no	—
1097	C₄×D₄	—	67	8	no	—
1098	C₄×D₄	—	67	8	no	—
1099	C₄×D₄	—	67	8	no	—
1100	C₄×D₄	—	67	8	no	—
1101	C₄×D₄	—	67	8	no	—
1102	C₄×D₄	—	67	8	no	—
1103	C₄×D₄	—	67	8	no	—
1104	C₄×D₄	—	67	8	no	—
1105	C₄×D₄	C₂²×D₆₇	1	8	yes	complemented
1106	C₄×D₄	C₂²×D₆₇	1	8	yes	complemented
1107	#117	—	67	2	no	—
1108	#117	—	67	4	no	—
1109	#117	—	67	8	no	—
1110	#117	—	67	4	no	—
1111	#117	—	67	8	no	—
1112	#117	—	67	8	no	—
1113	#117	C₂²×D₆₇	1	2	yes	complemented
1114	C₂×C₂²⋊C₄	—	67	2	no	—
1115	C₂×C₂²⋊C₄	—	67	2	no	—
1116	C₂×C₂²⋊C₄	—	67	2	no	—
1117	C₂×C₂²⋊C₄	—	67	8	no	—
1118	C₂×C₂²⋊C₄	—	67	4	no	—
1119	C₂×C₂²⋊C₄	—	67	4	no	—
1120	C₂×C₂²⋊C₄	—	67	2	no	—
1121	C₂×C₂²⋊C₄	—	67	4	no	—
1122	C₂×C₂²⋊C₄	—	67	4	no	—
1123	C₂×C₂²⋊C₄	—	67	4	no	—
1124	C₂×C₂²⋊C₄	—	67	4	no	—
1125	C₂×C₂²⋊C₄	—	67	4	no	—
1126	C₂×C₂²⋊C₄	—	67	4	no	—
1127	C₂×C₂²⋊C₄	—	67	4	no	—
1128	C₂×C₂²⋊C₄	—	67	8	no	—
1129	C₂×C₂²⋊C₄	—	67	4	no	—
1130	C₂×C₂²⋊C₄	—	67	8	no	—
1131	C₂×C₂²⋊C₄	—	67	8	no	—
1132	C₂×C₂²⋊C₄	—	67	8	no	—
1133	C₂×C₂²⋊C₄	—	67	8	no	—
1134	C₂×C₂²⋊C₄	—	67	8	no	—
1135	C₂×C₂²⋊C₄	—	67	8	no	—
1136	C₂×C₂²⋊C₄	—	67	8	no	—
1137	C₂×C₂²⋊C₄	—	67	4	no	—
1138	C₂×C₂²⋊C₄	—	67	8	no	—
1139	C₂×C₂²⋊C₄	C₂²×D₆₇	1	2	yes	—
1140	C₂×C₂²⋊C₄	C₂²×D₆₇	1	4	yes	complemented
1141	C₂×C₂²⋊C₄	C₂²×D₆₇	1	4	yes	complemented
1142	C₂×C₂²⋊C₄	C₂²×D₆₇	1	2	yes	complemented
1143	C₂⁴	—	2	4	no	—
1144	C₂⁴	—	4	4	no	—
1145	C₂⁴	—	4	2	no	—
1146	C₂⁴	—	4	4	no	—
1147	C₂⁴	—	268	4	no	—
1148	C₂⁴	—	268	4	no	—
1149	C₂⁴	—	268	8	no	—
1150	C₂⁴	—	268	8	no	—
1151	C₂⁴	—	268	4	no	—
1152	C₂⁴	—	268	8	no	—
1153	C₂⁴	—	268	4	no	—
1154	C₂⁴	—	268	64	no	—
1155	C₂⁴	—	268	8	no	—
1156	C₂⁴	—	268	8	no	—
1157	C₂⁴	—	268	8	no	—
1158	C₂⁴	—	268	8	no	—
1159	C₂⁴	—	268	8	no	—
1160	C₂⁴	—	67	2	no	—
1161	C₂⁴	—	67	2	no	—
1162	C₂⁴	—	67	2	no	—
1163	C₂⁴	—	67	4	no	—
1164	C₂⁴	—	67	2	no	—
1165	C₂⁴	—	67	2	no	—
1166	C₂⁴	—	67	8	no	—
1167	C₂⁴	—	67	2	no	—
1168	C₂⁴	—	67	2	no	—
1169	C₂⁴	—	67	4	no	—
1170	C₂⁴	—	67	4	no	—
1171	C₂⁴	—	67	4	no	—
1172	C₂⁴	—	67	2	no	—
1173	C₂⁴	—	134	8	no	—
1174	C₂⁴	—	134	16	no	—
1175	C₂⁴	—	134	8	no	—
1176	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1177	C₂⁴	C₂³×D₆₇	1	4	yes	—
1178	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1179	C₂⁴	C₂³×D₆₇	1	2	yes	—
1180	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1181	C₂⁴	C₂³×D₆₇	1	4	yes	—
1182	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1183	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1184	C₂⁴	C₂³×D₆₇	1	2	yes	complemented
1185	#41	—	4	4	no	—
1186	#41	—	4	8	no	—
1187	#41	—	268	4	no	—
1188	#41	—	268	16	no	—
1189	#41	—	268	16	no	—
1190	#41	—	268	8	no	—
1191	#41	—	268	16	no	—
1192	C₂×Q₈	—	67	2	no	—
1193	C₂×Q₈	—	67	8	no	—
1194	C₂×Q₈	C₂³×D₆₇	1	2	yes	complemented
1195	C₂×D₄	—	2	4	no	—
1196	C₂×D₄	—	2	4	no	—
1197	C₂×D₄	—	2	8	no	—
1198	C₂×D₄	—	4	2	no	—
1199	C₂×D₄	—	4	2	no	—
1200	C₂×D₄	—	4	16	no	—
1201	C₂×D₄	—	4	8	no	—
1202	C₂×D₄	—	4	8	no	—
1203	C₂×D₄	—	4	4	no	—
1204	C₂×D₄	—	4	8	no	—
1205	C₂×D₄	—	268	4	no	—
1206	C₂×D₄	—	268	8	no	—
1207	C₂×D₄	—	268	16	no	—
1208	C₂×D₄	—	268	16	no	—
1209	C₂×D₄	—	268	16	no	—
1210	C₂×D₄	—	268	8	no	—
1211	C₂×D₄	—	268	16	no	—
1212	C₂×D₄	—	268	16	no	—
1213	C₂×D₄	—	268	8	no	—
1214	C₂×D₄	—	268	8	no	—
1215	C₂×D₄	—	268	4	no	—
1216	C₂×D₄	—	268	8	no	—
1217	C₂×D₄	—	268	8	no	—
1218	C₂×D₄	—	268	16	no	—
1219	C₂×D₄	—	268	8	no	—
1220	C₂×D₄	—	268	16	no	—
1221	C₂×D₄	—	268	16	no	—
1222	C₂×D₄	—	268	8	no	—
1223	C₂×D₄	—	268	4	no	—
1224	C₂×D₄	—	67	8	no	—
1225	C₂×D₄	—	67	8	no	—
1226	C₂×D₄	—	67	8	no	—
1227	C₂×D₄	—	67	8	no	—
1228	C₂×D₄	—	67	8	no	—
1229	C₂×D₄	—	67	8	no	—
1230	C₂×D₄	—	67	8	no	—
1231	C₂×D₄	—	67	4	no	—
1232	C₂×D₄	—	67	8	no	—
1233	C₂×D₄	—	67	8	no	—
1234	C₂×D₄	—	67	8	no	—
1235	C₂×D₄	—	67	8	no	—
1236	C₂×D₄	—	67	4	no	—
1237	C₂×D₄	—	67	4	no	—
1238	C₂×D₄	—	67	8	no	—
1239	C₂×D₄	—	67	8	no	—
1240	C₂×D₄	—	67	2	no	—
1241	C₂×D₄	—	67	8	no	—
1242	C₂×D₄	—	134	32	no	—
1243	C₂×D₄	—	134	16	no	—
1244	C₂×D₄	—	134	8	no	—
1245	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1246	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1247	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1248	C₂×D₄	C₂³×D₆₇	1	8	yes	—
1249	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1250	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1251	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1252	C₂×D₄	C₂³×D₆₇	1	8	yes	—
1253	C₂×D₄	C₂³×D₆₇	1	2	yes	complemented
1254	C₂×D₄	C₂³×D₆₇	1	4	yes	complemented
1255	C₂×D₄	C₂³×D₆₇	1	8	yes	complemented
1256	C₂²×C₄	—	4	2	no	—
1257	C₂²×C₄	—	268	4	no	—
1258	C₂²×C₄	—	268	8	no	—
1259	C₂²×C₄	—	268	4	no	—
1260	C₂²×C₄	—	67	4	no	—
1261	C₂²×C₄	—	67	4	no	—
1262	C₂²×C₄	—	67	4	no	—
1263	C₂²×C₄	—	67	8	no	—
1264	C₂²×C₄	—	67	4	no	—
1265	C₂²×C₄	—	67	2	no	—
1266	C₂²×C₄	—	67	8	no	—
1267	C₂²×C₄	—	67	8	no	—
1268	C₂²×C₄	—	67	4	no	—
1269	C₂²×C₄	—	67	8	no	—
1270	C₂²×C₄	—	67	4	no	—
1271	C₂²×C₄	—	67	2	no	—
1272	C₂²×C₄	—	67	8	no	—
1273	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1274	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1275	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
1276	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1277	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1278	C₂²×C₄	C₂³×D₆₇	1	4	yes	complemented
1279	C₂²×C₄	C₂³×D₆₇	1	2	yes	complemented
1280	C₂²×C₄	C₂³×D₆₇	1	4	yes	complemented
1281	C₄⋊C₄	—	67	8	no	—
1282	C₄⋊C₄	—	67	8	no	—
1283	C₄⋊C₄	—	67	8	no	—
1284	C₄⋊C₄	—	67	8	no	—
1285	C₄⋊C₄	—	67	8	no	—
1286	C₄⋊C₄	—	67	4	no	—
1287	C₄⋊C₄	—	67	8	no	—
1288	C₄⋊C₄	—	67	8	no	—
1289	C₄⋊C₄	C₂³×D₆₇	1	8	yes	complemented
1290	C₄⋊C₄	C₂³×D₆₇	1	4	yes	complemented
1291	C₂²⋊C₄	—	67	8	no	—
1292	C₂²⋊C₄	—	67	4	no	—
1293	C₂²⋊C₄	—	67	4	no	—
1294	C₂²⋊C₄	—	67	4	no	—
1295	C₂²⋊C₄	—	67	4	no	—
1296	C₂²⋊C₄	—	67	4	no	—
1297	C₂²⋊C₄	—	67	4	no	—
1298	C₂²⋊C₄	—	67	8	no	—
1299	C₂²⋊C₄	—	67	8	no	—
1300	C₂²⋊C₄	—	67	8	no	—
1301	C₂²⋊C₄	—	67	8	no	—
1302	C₂²⋊C₄	—	67	4	no	—
1303	C₂²⋊C₄	—	67	8	no	—
1304	C₂²⋊C₄	—	67	8	no	—
1305	C₂²⋊C₄	—	67	8	no	—
1306	C₂²⋊C₄	—	67	8	no	—
1307	C₂²⋊C₄	—	67	8	no	—
1308	C₂²⋊C₄	—	67	8	no	—
1309	C₂²⋊C₄	—	67	8	no	—
1310	C₂²⋊C₄	—	67	8	no	—
1311	C₂²⋊C₄	—	67	8	no	—
1312	C₂²⋊C₄	—	67	8	no	—
1313	C₂²⋊C₄	—	67	8	no	—
1314	C₂²⋊C₄	—	67	8	no	—
1315	C₂²⋊C₄	—	67	8	no	—
1316	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1317	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1318	C₂²⋊C₄	C₂³×D₆₇	1	8	yes	—
1319	C₂²⋊C₄	C₂³×D₆₇	1	8	yes	—
1320	C₂²⋊C₄	C₂³×D₆₇	1	8	yes	complemented
1321	C₂²⋊C₄	C₂³×D₆₇	1	8	yes	complemented
1322	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	complemented
1323	C₄²	—	67	4	no	—
1324	C₄²	—	67	8	no	—
1325	C₄²	—	67	8	no	—
1326	C₄²	C₂³×D₆₇	1	4	yes	complemented
1327	C₂³	—	2	4	no	—
1328	C₂³	—	2	2	no	—
1329	C₂³	—	2	8	no	—
1330	C₂³	—	2	8	no	—
1331	C₂³	—	2	2	no	—
1332	C₂³	—	2	8	no	—
1333	C₂³	—	2	2	no	—
1334	C₂³	—	2	4	no	—
1335	C₂³	—	2	2	no	—
1336	C₂³	—	4	2	no	—
1337	C₂³	—	4	4	no	—
1338	C₂³	—	4	2	no	—
1339	C₂³	—	4	4	no	—
1340	C₂³	—	4	4	no	—
1341	C₂³	—	4	2	no	—
1342	C₂³	—	4	4	no	—
1343	C₂³	—	4	2	no	—
1344	C₂³	—	4	2	no	—
1345	C₂³	—	4	4	no	—
1346	C₂³	—	4	16	no	—
1347	C₂³	—	8	8	no	—
1348	C₂³	—	268	32	no	—
1349	C₂³	—	268	4	no	—
1350	C₂³	—	268	4	no	—
1351	C₂³	—	268	2	no	—
1352	C₂³	—	268	4	no	—
1353	C₂³	—	268	2	no	—
1354	C₂³	—	268	2	no	—
1355	C₂³	—	268	4	no	—
1356	C₂³	—	268	2	no	—
1357	C₂³	—	268	4	no	—
1358	C₂³	—	268	4	no	—
1359	C₂³	—	268	2	no	—
1360	C₂³	—	268	4	no	—
1361	C₂³	—	268	2	no	—
1362	C₂³	—	268	4	no	—
1363	C₂³	—	268	8	no	—
1364	C₂³	—	268	8	no	—
1365	C₂³	—	268	4	no	—
1366	C₂³	—	268	2	no	—
1367	C₂³	—	268	64	no	—
1368	C₂³	—	268	32	no	—
1369	C₂³	—	268	32	no	—
1370	C₂³	—	268	64	no	—
1371	C₂³	—	536	16	no	—
1372	C₂³	—	67	8	no	—
1373	C₂³	—	67	4	no	—
1374	C₂³	—	67	4	no	—
1375	C₂³	—	67	4	no	—
1376	C₂³	—	134	8	no	—
1377	C₂³	—	134	8	no	—
1378	C₂³	—	134	8	no	—
1379	C₂³	—	134	8	no	—
1380	C₂³	—	134	8	no	—
1381	C₂³	—	134	16	no	—
1382	C₂³	—	134	8	no	—
1383	C₂³	—	134	4	no	—
1384	C₂³	—	134	8	no	—
1385	C₂³	—	134	4	no	—
1386	C₂³	—	134	8	no	—
1387	C₂³	—	134	8	no	—
1388	C₂³	—	134	4	no	—
1389	C₂³	—	134	4	no	—
1390	C₂³	#14524088	1	4	yes	complemented
1391	C₂³	C₂⁴×D₆₇	1	2	yes	—
1392	C₂³	C₂⁴×D₆₇	1	4	yes	—
1393	C₂³	C₂⁴×D₆₇	1	2	yes	—
1394	C₂³	C₂⁴×D₆₇	1	2	yes	—
1395	C₂³	C₂⁴×D₆₇	1	2	yes	—
1396	C₂³	C₂⁴×D₆₇	1	2	yes	—
1397	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
1398	Q₈	—	4	2	no	—
1399	Q₈	—	268	8	no	—
1400	Q₈	—	268	2	no	—
1401	D₄	—	2	16	no	—
1402	D₄	—	2	8	no	—
1403	D₄	—	2	8	no	—
1404	D₄	—	2	8	no	—
1405	D₄	—	2	8	no	—
1406	D₄	—	4	4	no	—
1407	D₄	—	4	4	no	—
1408	D₄	—	4	2	no	—
1409	D₄	—	4	4	no	—
1410	D₄	—	4	8	no	—
1411	D₄	—	4	8	no	—
1412	D₄	—	268	8	no	—
1413	D₄	—	268	8	no	—
1414	D₄	—	268	2	no	—
1415	D₄	—	268	8	no	—
1416	D₄	—	268	8	no	—
1417	D₄	—	268	8	no	—
1418	D₄	—	268	8	no	—
1419	D₄	—	268	8	no	—
1420	D₄	—	268	8	no	—
1421	D₄	—	268	8	no	—
1422	D₄	—	268	4	no	—
1423	D₄	—	134	16	no	—
1424	D₄	—	134	16	no	—
1425	D₄	—	134	16	no	—
1426	D₄	—	134	16	no	—
1427	D₄	—	134	16	no	—
1428	D₄	—	134	8	no	—
1429	D₄	—	134	8	no	—
1430	C₂×C₄	—	2	2	no	—
1431	C₂×C₄	—	2	2	no	—
1432	C₂×C₄	—	2	4	no	—
1433	C₂×C₄	—	4	4	no	—
1434	C₂×C₄	—	4	4	no	—
1435	C₂×C₄	—	4	4	no	—
1436	C₂×C₄	—	4	2	no	—
1437	C₂×C₄	—	4	4	no	—
1438	C₂×C₄	—	268	8	no	—
1439	C₂×C₄	—	268	8	no	—
1440	C₂×C₄	—	268	8	no	—
1441	C₂×C₄	—	268	4	no	—
1442	C₂×C₄	—	268	4	no	—
1443	C₂×C₄	—	268	4	no	—
1444	C₂×C₄	—	268	4	no	—
1445	C₂×C₄	—	268	8	no	—
1446	C₂×C₄	—	268	4	no	—
1447	C₂×C₄	—	268	2	no	—
1448	C₂×C₄	—	67	8	no	—
1449	C₂×C₄	—	67	8	no	—
1450	C₂×C₄	—	67	4	no	—
1451	C₂×C₄	—	134	16	no	—
1452	C₂×C₄	—	134	8	no	—
1453	C₂×C₄	—	134	4	no	—
1454	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1455	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
1456	C₂×C₄	C₂⁴×D₆₇	1	8	yes	—
1457	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1458	C₂²	—	2	8	no	—
1459	C₂²	—	2	4	no	—
1460	C₂²	—	2	2	no	—
1461	C₂²	—	2	2	no	—
1462	C₂²	—	2	2	no	—
1463	C₂²	—	2	4	no	—
1464	C₂²	—	2	8	no	—
1465	C₂²	—	2	4	no	—
1466	C₂²	—	2	4	no	—
1467	C₂²	—	2	2	no	—
1468	C₂²	—	2	4	no	—
1469	C₂²	—	2	2	no	—
1470	C₂²	—	2	2	no	—
1471	C₂²	—	4	4	no	—
1472	C₂²	—	4	16	no	—
1473	C₂²	—	4	4	no	—
1474	C₂²	—	8	8	no	—
1475	C₂²	—	8	2	no	—
1476	C₂²	—	8	2	no	—
1477	C₂²	—	8	4	no	—
1478	C₂²	—	268	8	no	—
1479	C₂²	—	268	8	no	—
1480	C₂²	—	268	16	no	—
1481	C₂²	—	268	16	no	—
1482	C₂²	—	268	16	no	—
1483	C₂²	—	268	8	no	—
1484	C₂²	—	268	8	no	—
1485	C₂²	—	268	16	no	—
1486	C₂²	—	268	8	no	—
1487	C₂²	—	16	2	no	—
1488	C₂²	—	536	4	no	—
1489	C₂²	—	536	16	no	—
1490	C₂²	—	1072	2	no	—
1491	C₂²	—	67	8	no	—
1492	C₂²	—	134	16	no	—
1493	C₂²	—	134	8	no	—
1494	C₂²	—	134	4	no	—
1495	C₂²	—	134	4	no	—
1496	C₂²	—	134	4	no	—
1497	C₂²	—	134	4	no	—
1498	C₂²	—	134	4	no	—
1499	C₂²	—	134	4	no	—
1500	C₂²	H(5,𝔽₂)×D₆₇	1	4	yes	—
1501	C₂²	C₂×#14524088	1	2	yes	—
1502	C₂²	C₂×#14524088	1	4	yes	—
1503	C₂²	C₂⁵×D₆₇	1	1	yes	characteristic
1504	C₄	—	2	8	no	—
1505	C₄	—	2	2	no	—
1506	C₄	—	2	2	no	—
1507	C₄	—	2	4	no	—
1508	C₄	—	134	8	no	—
1509	C₄	—	134	8	no	—
1510	C₄	—	134	4	no	—
1511	C₂	—	2	4	no	—
1512	C₂	—	2	2	no	—
1513	C₂	—	2	4	no	—
1514	C₂	—	4	2	no	—
1515	C₂	—	4	2	no	—
1516	C₂	—	4	2	no	—
1517	C₂	—	4	4	no	—
1518	C₂	—	268	4	no	—
1519	C₂	—	268	4	no	—
1520	C₂	—	134	8	no	—
1521	C₂	C₂×H(5,𝔽₂)×D₆₇	1	2	yes	—
1522	C₂	C₂²×#14524088	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₆₇
commutator, socle, cosocle	C₂²×C₆₇	C₂⁶
Fitting	C₆₇×#3484	C₂
hypercenter	#3484	D₆₇
hypocenter	C₆₇	#62817
LCS	G ▷ C₂²×C₆₇ ▷ C₆₇
UCS	C₁ ◁ C₂² ◁ #3484

Complements

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

N	H ≅ G/N	type
1. #22574363	C₂	semidirect
2. #22574361	C₂	semidirect
3. #22574359	C₂	semidirect
4. #22574358	C₂	semidirect
5. #22573897	C₂	semidirect
6. #22573896	C₂	semidirect
7. #22573894	C₂	semidirect
8. #22573892	C₂	semidirect
9. #22573891	C₂	semidirect
10. #22573844	C₂	semidirect
11. #22573841	C₂	semidirect
12. #22573840	C₂	semidirect
13. #22573838	C₂	semidirect
14. #22573837	C₂	semidirect
15. C₂²×#14524011	C₂	semidirect
16. C₂×#120×D₆₇	C₂	semidirect
17. C₆₇×#3484	C₂	semidirect
18. C₂⁵×D₆₇	C₂²	semidirect
19. C₂×#14524088	C₂²	semidirect
20. C₂×#14524088	C₂²	semidirect
21. C₂³×C₂²⋊D₆₇	C₂²	semidirect
22. C₂²×D₄×D₆₇	C₂²	semidirect
23. C₂²×D₄×D₆₇	C₂²	semidirect
24. #16864139	C₂²	semidirect
25. #16864138	C₂²	semidirect
26. #16864136	C₂²	semidirect
27. #16864134	C₂²	semidirect
28. #16864134	C₂²	semidirect
29. #16864133	C₂²	semidirect
30. #16864077	C₂²	semidirect
31. #16864076	C₂²	semidirect
32. #16864075	C₂²	semidirect
33. #16864075	C₂²	semidirect
34. #16864074	C₂²	semidirect
35. #16864073	C₂²	semidirect
36. #16864072	C₂²	semidirect
37. #16864070	C₂²	semidirect
38. #16864069	C₂²	semidirect
39. #16864069	C₂²	semidirect
40. #16864043	C₂²	semidirect
41. #16864042	C₂²	semidirect
42. #16864041	C₂²	semidirect
43. #16864040	C₂²	semidirect
44. #16864040	C₂²	semidirect
45. #16864038	C₂²	semidirect
46. #16864036	C₂²	semidirect
47. #16864036	C₂²	semidirect
48. #16864035	C₂²	semidirect
49. #16864035	C₂²	semidirect
50. #16864035	C₂²	semidirect
51. #16864034	C₂²	semidirect
52. #16864034	C₂²	semidirect
53. #16864033	C₂²	semidirect
54. #16864033	C₂²	semidirect
55. #16864033	C₂²	semidirect
56. #16864033	C₂²	semidirect
57. #16864031	C₂²	semidirect
58. #16864030	C₂²	semidirect
59. D₄×C₂²⋊D₆₇	C₂²	semidirect
60. D₄×C₂²⋊D₆₇	C₂²	semidirect
61. D₄×C₂²⋊D₆₇	C₂²	semidirect
62. D₄×C₂²⋊D₆₇	C₂²	semidirect
63. #16864028	C₂²	semidirect
64. #16864028	C₂²	semidirect
65. #16864028	C₂²	semidirect
66. #16864022	C₂²	semidirect
67. #16864021	C₂²	semidirect
68. #16863986	C₂²	semidirect
69. #16863983	C₂²	semidirect
70. #16863983	C₂²	semidirect
71. #16863982	C₂²	semidirect
72. #16863981	C₂²	semidirect
73. #16863980	C₂²	semidirect
74. #16863979	C₂²	semidirect
75. #16863979	C₂²	semidirect
76. #16863978	C₂²	semidirect
77. #16863978	C₂²	semidirect
78. #16863963	C₂²	semidirect
79. #16863962	C₂²	semidirect
80. #16863961	C₂²	semidirect
81. #16863961	C₂²	semidirect
82. #16863960	C₂²	semidirect
83. #16863959	C₂²	semidirect
84. #16863958	C₂²	semidirect
85. #16863957	C₂²	semidirect
86. #16863956	C₂²	semidirect
87. #16863956	C₂²	semidirect
88. #16863955	C₂²	semidirect
89. #16863955	C₂²	semidirect
90. #16863955	C₂²	semidirect
91. #16863955	C₂²	semidirect
92. #16863955	C₂²	semidirect
93. #16863954	C₂²	semidirect
94. #16863954	C₂²	semidirect
95. #16863907	C₂²	semidirect
96. #16863906	C₂²	semidirect
97. #16863905	C₂²	semidirect
98. #16863904	C₂²	semidirect
99. #16863903	C₂²	semidirect
100. #16863902	C₂²	semidirect
101. C₂×#14524013	C₂²	semidirect
102. C₂×#14524013	C₂²	semidirect
103. C₂×#14524012	C₂²	semidirect
104. C₂×#14524012	C₂²	semidirect
105. C₂×#14524011	C₂²	semidirect
106. C₂×#14524011	C₂²	semidirect
107. C₂×#14524011	C₂²	semidirect
108. C₂×#14524011	C₂²	semidirect
109. C₂×#14524011	C₂²	semidirect
110. C₂×#14524011	C₂²	semidirect
111. C₂×#14524011	C₂²	semidirect
112. C₂×#14524011	C₂²	semidirect
113. C₂×#14524011	C₂²	semidirect
114. #120×D₆₇	C₂²	semidirect
115. #120×D₆₇	C₂²	semidirect
116. #120×D₆₇	C₂²	semidirect
117. #120×D₆₇	C₂²	semidirect
118. #120×D₆₇	C₂²	semidirect
119. #16863871	C₂²	semidirect
120. #16863871	C₂²	semidirect
121. #16863869	C₂²	semidirect
122. #16863869	C₂²	semidirect
123. #16863868	C₂²	semidirect
124. C₂²×C₂²⋊Dic₆₇	C₂²	semidirect
125. C₂²×(C₂×D₆₇)⋊C₄	C₂²	semidirect
126. C₂×C₂²⋊C₄×D₆₇	C₂²	semidirect
127. C₂×C₂²⋊C₄×D₆₇	C₂²	semidirect
128. C₂×H(5,𝔽₂)×C₆₇	C₂²	semidirect
129. C₂³×D₄×C₆₇	C₂²	semidirect
130. #546×C₆₇	C₂²	semidirect
131. D₄²×C₆₇	C₂²	semidirect
132. #535×C₆₇	C₂²	semidirect
133. #534×C₆₇	C₂²	semidirect
134. #534×C₆₇	C₂²	semidirect
135. #525×C₆₇	C₂²	semidirect
136. C₂×#120×C₆₇	C₂²	semidirect
137. C₂×#120×C₆₇	C₂²	semidirect
138. #518×C₆₇	C₂²	semidirect
146. C₂⁴×D₆₇	C₂³	semidirect
149. C₂×#11761628	C₂³	semidirect
150. C₂×#11761628	C₂³	semidirect
151. C₂×#11761627	C₂³	semidirect
152. C₂×#11761627	C₂³	semidirect
153. C₂×#11761627	C₂³	semidirect
154. C₂²×D₂₆₈	C₂³	semidirect
155. C₂²×D₂₆₈	C₂³	semidirect
159. C₂²×C₂²⋊D₆₇	C₂³	semidirect
160. C₂²×C₂²⋊D₆₇	C₂³	semidirect
161. C₂²×C₂²⋊D₆₇	C₂³	semidirect
162. C₂²×C₂²⋊D₆₇	C₂³	semidirect
163. C₂²×C₂²⋊D₆₇	C₂³	semidirect
164. C₂²×C₂²⋊D₆₇	C₂³	semidirect
165. C₂²×C₂²⋊D₆₇	C₂³	semidirect
166. C₂²×C₂²⋊D₆₇	C₂³	semidirect
167. C₂²×C₂²⋊D₆₇	C₂³	semidirect
168. C₂²×C₂²⋊D₆₇	C₂³	semidirect
172. C₂×D₄×D₆₇	C₂³	semidirect
173. C₂×D₄×D₆₇	C₂³	semidirect
174. C₂×D₄×D₆₇	C₂³	semidirect
175. C₂×D₄×D₆₇	C₂³	semidirect
176. C₂×D₄×D₆₇	C₂³	semidirect
177. C₂×D₄×D₆₇	C₂³	semidirect
178. C₂×D₄×D₆₇	C₂³	semidirect
179. C₂³×Dic₆₇	C₂³	semidirect
180. C₂²×C₄×D₆₇	C₂³	semidirect
181. C₂²×C₄×D₆₇	C₂³	semidirect
182. #14524039	C₂³	semidirect
183. #14524039	C₂³	semidirect
184. #14524039	C₂³	semidirect
185. #14524038	C₂³	semidirect
186. #14524038	C₂³	semidirect
187. #14524038	C₂³	semidirect
188. #14524037	C₂³	semidirect
189. #14524036	C₂³	semidirect
190. #14524036	C₂³	semidirect
191. #14524032	C₂³	semidirect
192. #14524031	C₂³	semidirect
193. #14524030	C₂³	semidirect
194. #14524030	C₂³	semidirect
195. #14524029	C₂³	semidirect
196. #14524029	C₂³	semidirect
197. #14524029	C₂³	semidirect
198. #14524029	C₂³	semidirect
199. #14524029	C₂³	semidirect
200. #14524028	C₂³	semidirect
201. #14524028	C₂³	semidirect
202. #14524028	C₂³	semidirect
203. #14524027	C₂³	semidirect
204. #14524027	C₂³	semidirect
205. #14524027	C₂³	semidirect
206. #14524026	C₂³	semidirect
207. #14524026	C₂³	semidirect
208. #14524026	C₂³	semidirect
209. #14524026	C₂³	semidirect
210. #14524025	C₂³	semidirect
211. #14524025	C₂³	semidirect
212. #14524025	C₂³	semidirect
213. #14524025	C₂³	semidirect
214. #14524024	C₂³	semidirect
215. #14524024	C₂³	semidirect
216. #14524024	C₂³	semidirect
217. #14524024	C₂³	semidirect
218. #14524024	C₂³	semidirect
219. #14524023	C₂³	semidirect
220. #14524022	C₂³	semidirect
221. #14524022	C₂³	semidirect
222. #14524021	C₂³	semidirect
223. #14524021	C₂³	semidirect
224. #14524020	C₂³	semidirect
225. #14524020	C₂³	semidirect
226. #14524020	C₂³	semidirect
227. #14524019	C₂³	semidirect
228. #14524018	C₂³	semidirect
229. #14524017	C₂³	semidirect
230. #14524017	C₂³	semidirect
231. #14524017	C₂³	semidirect
232. #14524017	C₂³	semidirect
233. #14524016	C₂³	semidirect
234. #14524016	C₂³	semidirect
235. #14524016	C₂³	semidirect
236. #14524016	C₂³	semidirect
237. #14524016	C₂³	semidirect
238. #14524015	C₂³	semidirect
239. #14524015	C₂³	semidirect
240. #14524015	C₂³	semidirect
241. #14524015	C₂³	semidirect
242. #14524015	C₂³	semidirect
243. #14524015	C₂³	semidirect
244. #14524015	C₂³	semidirect
245. #14524015	C₂³	semidirect
246. #14524015	C₂³	semidirect
247. #14524015	C₂³	semidirect
248. #14524014	C₂³	semidirect
249. #14524014	C₂³	semidirect
250. #14524014	C₂³	semidirect
251. #14524014	C₂³	semidirect
254. #14524013	C₂³	semidirect
255. #14524013	C₂³	semidirect
256. #14524013	C₂³	semidirect
257. #14524013	C₂³	semidirect
258. #14524013	C₂³	semidirect
259. #14524013	C₂³	semidirect
260. #14524013	C₂³	semidirect
262. #14524012	C₂³	semidirect
263. #14524012	C₂³	semidirect
264. #14524012	C₂³	semidirect
265. #14524012	C₂³	semidirect
266. #14524012	C₂³	semidirect
267. #14524012	C₂³	semidirect
274. #14524011	C₂³	semidirect
275. #14524011	C₂³	semidirect
276. #14524011	C₂³	semidirect
277. #14524011	C₂³	semidirect
278. #14524011	C₂³	semidirect
279. #14524011	C₂³	semidirect
280. #14524011	C₂³	semidirect
281. #14524011	C₂³	semidirect
282. #14524011	C₂³	semidirect
283. #14524011	C₂³	semidirect
284. #14524011	C₂³	semidirect
285. #14524011	C₂³	semidirect
286. #14524011	C₂³	semidirect
287. #14524011	C₂³	semidirect
288. #14524011	C₂³	semidirect
289. #14524011	C₂³	semidirect
290. #14524011	C₂³	semidirect
291. #14524011	C₂³	semidirect
292. #14524011	C₂³	semidirect
293. C₄×D₂₆₈	C₂³	semidirect
294. D₄×Dic₆₇	C₂³	semidirect
295. D₄×Dic₆₇	C₂³	semidirect
296. D₄×Dic₆₇	C₂³	semidirect
297. D₄×Dic₆₇	C₂³	semidirect
298. #14524005	C₂³	semidirect
299. C₄×C₂²⋊D₆₇	C₂³	semidirect
300. C₄×C₂²⋊D₆₇	C₂³	semidirect
301. C₄×C₂²⋊D₆₇	C₂³	semidirect
302. C₄×C₂²⋊D₆₇	C₂³	semidirect
303. C₄×C₂²⋊D₆₇	C₂³	semidirect
304. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
305. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
306. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
307. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
308. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
309. #14524002	C₂³	semidirect
310. #14524002	C₂³	semidirect
311. #14524001	C₂³	semidirect
312. #14524000	C₂³	semidirect
313. #14523999	C₂³	semidirect
314. #14523999	C₂³	semidirect
317. C₂×C₂²⋊Dic₆₇	C₂³	semidirect
318. C₂×C₂²⋊Dic₆₇	C₂³	semidirect
319. C₂×C₂²⋊Dic₆₇	C₂³	semidirect
320. C₂×C₂²⋊Dic₆₇	C₂³	semidirect
321. C₂×C₂²⋊Dic₆₇	C₂³	semidirect
322. C₂×C₂²⋊Dic₆₇	C₂³	semidirect
324. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
325. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
326. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
327. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
328. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
329. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
330. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
331. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
333. C₂²⋊C₄×D₆₇	C₂³	semidirect
334. C₂²⋊C₄×D₆₇	C₂³	semidirect
335. C₂²⋊C₄×D₆₇	C₂³	semidirect
336. C₂²⋊C₄×D₆₇	C₂³	semidirect
337. C₂²⋊C₄×D₆₇	C₂³	semidirect
338. C₂²⋊C₄×D₆₇	C₂³	semidirect
339. C₂²⋊C₄×D₆₇	C₂³	semidirect
341. C₂⁵×C₆₇	C₂³	semidirect
343. C₂×#41×C₆₇	C₂³	semidirect
344. C₂×#41×C₆₇	C₂³	semidirect
349. C₂²×D₄×C₆₇	C₂³	semidirect
350. C₂²×D₄×C₆₇	C₂³	semidirect
351. C₂²×D₄×C₆₇	C₂³	semidirect
352. C₂²×D₄×C₆₇	C₂³	semidirect
353. C₂²×D₄×C₆₇	C₂³	semidirect
354. C₂²×D₄×C₆₇	C₂³	semidirect
355. C₂²×D₄×C₆₇	C₂³	semidirect
356. C₂³×C₄×C₆₇	C₂³	semidirect
357. #127×C₆₇	C₂³	semidirect
358. #124×C₆₇	C₂³	semidirect
359. #123×C₆₇	C₂³	semidirect
360. #123×C₆₇	C₂³	semidirect
361. #123×C₆₇	C₂³	semidirect
362. C₂²⋊Q₈×C₆₇	C₂³	semidirect
363. #121×C₆₇	C₂³	semidirect
364. #121×C₆₇	C₂³	semidirect
365. #121×C₆₇	C₂³	semidirect
366. #121×C₆₇	C₂³	semidirect
368. #120×C₆₇	C₂³	semidirect
369. #120×C₆₇	C₂³	semidirect
370. #120×C₆₇	C₂³	semidirect
371. #120×C₆₇	C₂³	semidirect
372. #120×C₆₇	C₂³	semidirect
373. #120×C₆₇	C₂³	semidirect
374. C₄×D₄×C₆₇	C₂³	semidirect
375. C₄×D₄×C₆₇	C₂³	semidirect
376. #117×C₆₇	C₂³	semidirect
378. C₂×C₂²⋊C₄×C₆₇	C₂³	semidirect
379. C₂×C₂²⋊C₄×C₆₇	C₂³	semidirect
380. C₂×C₂²⋊C₄×C₆₇	C₂³	semidirect
409. C₂³×D₆₇	C₂⁴	semidirect
415. C₂×Dic₁₃₄	C₂⁴	semidirect
416. C₂×Dic₁₃₄	C₂⁴	semidirect
422. C₂×D₂₆₈	C₂⁴	semidirect
446. C₂×C₂²⋊D₆₇	C₂⁴	semidirect
447. C₂×C₂²⋊D₆₇	C₂⁴	semidirect
448. C₂×C₂²⋊D₆₇	C₂⁴	semidirect
463. C₂²×Dic₆₇	C₂⁴	semidirect
464. C₂²×Dic₆₇	C₂⁴	semidirect
465. C₂²×Dic₆₇	C₂⁴	semidirect
471. C₂×C₄×D₆₇	C₂⁴	semidirect
472. C₂×C₄×D₆₇	C₂⁴	semidirect
473. C₄⋊Dic₆₇	C₂⁴	semidirect
474. C₄⋊Dic₆₇	C₂⁴	semidirect
475. C₄⋊Dic₆₇	C₂⁴	semidirect
476. Dic₆₇⋊C₄	C₂⁴	semidirect
477. Dic₆₇⋊C₄	C₂⁴	semidirect
478. Dic₆₇⋊C₄	C₂⁴	semidirect
479. Dic₆₇⋊C₄	C₂⁴	semidirect
480. Dic₆₇⋊C₄	C₂⁴	semidirect
489. C₂²⋊Dic₆₇	C₂⁴	semidirect
490. C₂²⋊Dic₆₇	C₂⁴	semidirect
491. C₂²⋊Dic₆₇	C₂⁴	semidirect
492. C₂²⋊Dic₆₇	C₂⁴	semidirect
503. (C₂×D₆₇)⋊C₄	C₂⁴	semidirect
504. (C₂×D₆₇)⋊C₄	C₂⁴	semidirect
505. (C₂×D₆₇)⋊C₄	C₂⁴	semidirect
506. C₄×Dic₆₇	C₂⁴	semidirect
507. C₄×Dic₆₇	C₂⁴	semidirect
508. C₄×Dic₆₇	C₂⁴	semidirect
521. C₂⁴×C₆₇	C₂⁴	semidirect
524. C₂×Q₈×C₆₇	C₂⁴	semidirect
543. C₂×D₄×C₆₇	C₂⁴	semidirect
544. C₂×D₄×C₆₇	C₂⁴	semidirect
545. C₂×D₄×C₆₇	C₂⁴	semidirect
552. C₂²×C₄×C₆₇	C₂⁴	semidirect
553. C₂²×C₄×C₆₇	C₂⁴	semidirect
554. C₂²×C₄×C₆₇	C₂⁴	semidirect
555. C₄⋊C₄×C₆₇	C₂⁴	semidirect
556. C₄⋊C₄×C₆₇	C₂⁴	semidirect
561. C₂²⋊C₄×C₆₇	C₂⁴	semidirect
562. C₂²⋊C₄×C₆₇	C₂⁴	semidirect
563. C₂²⋊C₄×C₆₇	C₂⁴	semidirect
564. C₄²×C₆₇	C₂⁴	semidirect
586. C₂³×C₆₇	H(5,𝔽₂)	semidirect
632. C₂²×D₆₇	H(5,𝔽₂)	semidirect
776. #3484	D₆₇	semidirect
779. C₆₇	#62817	semidirect
783. C₂×H(5,𝔽₂)	C₂×D₆₇	semidirect
787. C₂³×D₄	C₂×D₆₇	semidirect
821. #546	C₂×D₆₇	semidirect
831. D₄²	C₂×D₆₇	semidirect
850. #535	C₂×D₆₇	semidirect
862. #534	C₂×D₆₇	semidirect
863. #534	C₂×D₆₇	semidirect
870. #525	C₂×D₆₇	semidirect
889. C₂×#120	C₂×D₆₇	semidirect
890. C₂×#120	C₂×D₆₇	semidirect
896. #518	C₂×D₆₇	semidirect
910. C₂⁵	C₂²×D₆₇	semidirect
919. C₂×#41	C₂²×D₆₇	semidirect
920. C₂×#41	C₂²×D₆₇	semidirect
950. C₂²×D₄	C₂²×D₆₇	semidirect
951. C₂²×D₄	C₂²×D₆₇	semidirect
952. C₂²×D₄	C₂²×D₆₇	semidirect
953. C₂²×D₄	C₂²×D₆₇	semidirect
954. C₂²×D₄	C₂²×D₆₇	semidirect
955. C₂²×D₄	C₂²×D₆₇	semidirect
956. C₂²×D₄	C₂²×D₆₇	semidirect
960. C₂³×C₄	C₂²×D₆₇	semidirect
964. #127	C₂²×D₆₇	semidirect
980. #124	C₂²×D₆₇	semidirect
1000. #123	C₂²×D₆₇	semidirect
1001. #123	C₂²×D₆₇	semidirect
1002. #123	C₂²×D₆₇	semidirect
1012. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1037. #121	C₂²×D₆₇	semidirect
1038. #121	C₂²×D₆₇	semidirect
1039. #121	C₂²×D₆₇	semidirect
1040. #121	C₂²×D₆₇	semidirect
1083. #120	C₂²×D₆₇	semidirect
1084. #120	C₂²×D₆₇	semidirect
1085. #120	C₂²×D₆₇	semidirect
1086. #120	C₂²×D₆₇	semidirect
1087. #120	C₂²×D₆₇	semidirect
1088. #120	C₂²×D₆₇	semidirect
1105. C₄×D₄	C₂²×D₆₇	semidirect
1106. C₄×D₄	C₂²×D₆₇	semidirect
1113. #117	C₂²×D₆₇	semidirect
1140. C₂×C₂²⋊C₄	C₂²×D₆₇	semidirect
1141. C₂×C₂²⋊C₄	C₂²×D₆₇	semidirect
1142. C₂×C₂²⋊C₄	C₂²×D₆₇	semidirect
1184. C₂⁴	C₂³×D₆₇	semidirect
1194. C₂×Q₈	C₂³×D₆₇	semidirect
1253. C₂×D₄	C₂³×D₆₇	semidirect
1254. C₂×D₄	C₂³×D₆₇	semidirect
1255. C₂×D₄	C₂³×D₆₇	semidirect
1278. C₂²×C₄	C₂³×D₆₇	semidirect
1279. C₂²×C₄	C₂³×D₆₇	semidirect
1280. C₂²×C₄	C₂³×D₆₇	semidirect
1289. C₄⋊C₄	C₂³×D₆₇	semidirect
1290. C₄⋊C₄	C₂³×D₆₇	semidirect
1320. C₂²⋊C₄	C₂³×D₆₇	semidirect
1321. C₂²⋊C₄	C₂³×D₆₇	semidirect
1322. C₂²⋊C₄	C₂³×D₆₇	semidirect
1326. C₄²	C₂³×D₆₇	semidirect
1390. C₂³	#14524088	semidirect

Maximal subgroups

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

subgroup	index
#22574363	2
#22574361	2
#22574359	2
#22574358	2
#22573897	2
#22573896	2
#22573894	2
#22573892	2
#22573891	2
#22573844	2
#22573841	2
#22573840	2
#22573838	2
#22573837	2
C₂²×#14524011	2
C₂×#120×D₆₇	2
C₆₇×#3484	2
#62817	67