Subgroups — C₂×#22574885 #31763359

Order 17152.

6694 conjugacy classes of subgroups.

The subgroup lattice has 1904 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22574885	C₂	1	32	yes	maximal, direct product factor
2	C₂×#16864149	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#16864143	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#16864143	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#16864136	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#16864129	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#16864113	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#16864109	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#16864097	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#16864096	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#16864095	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#16864085	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#16864082	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#16864079	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#16864075	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#16864071	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#16864070	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#16864018	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#16864016	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#16864010	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#16864005	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#16864004	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#16863996	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#16863994	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#16863992	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#16863988	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#16863980	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#16863979	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#16863978	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#16863930	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#16863930	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#529×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
33	#16864149	C₂²	1	16	yes	complemented
34	#16864143	C₂²	1	16	yes	complemented
35	#16864143	C₂²	1	16	yes	complemented
36	#16864136	C₂²	1	16	yes	complemented
37	#16864129	C₂²	1	16	yes	complemented
38	#16864113	C₂²	1	16	yes	complemented
39	#16864109	C₂²	1	16	yes	complemented
40	#16864097	C₂²	1	16	yes	complemented
41	#16864096	C₂²	1	16	yes	complemented
42	#16864095	C₂²	1	16	yes	complemented
43	#16864085	C₂²	1	16	yes	complemented
44	#16864082	C₂²	1	16	yes	complemented
45	#16864079	C₂²	1	16	yes	complemented
46	#16864075	C₂²	1	16	yes	complemented
47	#16864071	C₂²	1	16	yes	complemented
48	#16864070	C₂²	1	16	yes	complemented
49	#16864018	C₂²	1	16	yes	complemented
50	#16864016	C₂²	1	16	yes	complemented
51	#16864010	C₂²	1	16	yes	complemented
52	#16864005	C₂²	1	16	yes	complemented
53	#16864004	C₂²	1	16	yes	complemented
54	#16863996	C₂²	1	16	yes	complemented
55	#16863994	C₂²	1	16	yes	complemented
56	#16863992	C₂²	1	16	yes	complemented
57	#16863988	C₂²	1	16	yes	complemented
58	#16863980	C₂²	1	16	yes	complemented
59	#16863979	C₂²	1	16	yes	complemented
60	#16863978	C₂²	1	16	yes	complemented
61	C₂×#14524042	C₂²	1	1	yes	characteristic, complemented
62	C₂×#14524042	C₂²	1	1	yes	characteristic, complemented
63	C₂×#14524041	C₂²	1	1	yes	characteristic, complemented
64	C₂×#14524039	C₂²	1	1	yes	characteristic
65	#16863930	C₂²	1	16	yes	complemented
66	#16863930	C₂²	1	16	yes	complemented
67	C₂×#14524038	C₂²	1	1	yes	characteristic
68	C₂×#14524038	C₂²	1	1	yes	characteristic
69	C₂×#14524038	C₂²	1	1	yes	characteristic
70	C₂×#14524038	C₂²	1	1	yes	characteristic
71	C₂×#14524038	C₂²	1	1	yes	characteristic
72	C₂×#14524038	C₂²	1	1	yes	characteristic
73	C₂×#14524037	C₂²	1	1	yes	characteristic
74	C₂×#14524037	C₂²	1	1	yes	characteristic
75	C₂×#14524037	C₂²	1	1	yes	characteristic
76	C₂×#14524037	C₂²	1	1	yes	characteristic
77	C₂×#14524037	C₂²	1	1	yes	characteristic, complemented
78	C₂×#14524037	C₂²	1	1	yes	characteristic, complemented
79	C₂×#14524036	C₂²	1	1	yes	characteristic
80	C₂×#14524036	C₂²	1	1	yes	characteristic
81	C₂×#14524036	C₂²	1	1	yes	characteristic
82	C₂×#14524036	C₂²	1	1	yes	characteristic, complemented
83	C₂×#14524036	C₂²	1	1	yes	characteristic, complemented
84	C₂×#14524036	C₂²	1	1	yes	characteristic, complemented
85	C₂×#14524035	C₂²	1	1	yes	characteristic, complemented
86	C₂×#14524035	C₂²	1	1	yes	characteristic, complemented
87	C₂×#14524035	C₂²	1	1	yes	characteristic, complemented
88	C₂×#14524034	C₂²	1	1	yes	characteristic, complemented
89	C₂×#14524034	C₂²	1	1	yes	characteristic, complemented
90	C₂×#14524033	C₂²	1	1	yes	characteristic, complemented
91	C₂×#14524033	C₂²	1	1	yes	characteristic, complemented
92	C₂×#14524033	C₂²	1	1	yes	characteristic, complemented
93	C₂×#14524033	C₂²	1	1	yes	characteristic, complemented
94	C₂×#14524033	C₂²	1	1	yes	characteristic, complemented
95	C₂×#14524033	C₂²	1	1	yes	characteristic, complemented
96	C₂×#14524032	C₂²	1	1	yes	characteristic
97	C₂×#14524031	C₂²	1	1	yes	characteristic
98	C₂×#14524031	C₂²	1	1	yes	characteristic
99	C₂×#14524031	C₂²	1	1	yes	characteristic, complemented
100	C₂×#14524030	C₂²	1	1	yes	characteristic
101	C₂×#14524029	C₂²	1	1	yes	characteristic
102	C₂×#14524029	C₂²	1	1	yes	characteristic
103	C₂×#14524029	C₂²	1	1	yes	characteristic
104	C₂×#14524029	C₂²	1	1	yes	characteristic
105	C₂×#14524029	C₂²	1	1	yes	characteristic, complemented
106	C₂×#14524029	C₂²	1	1	yes	characteristic, complemented
107	C₂×#14524028	C₂²	1	1	yes	characteristic
108	C₂×#14524028	C₂²	1	1	yes	characteristic
109	C₂×#14524028	C₂²	1	1	yes	characteristic
110	C₂×#14524028	C₂²	1	1	yes	characteristic
111	C₂×#14524028	C₂²	1	1	yes	characteristic
112	C₂×#14524028	C₂²	1	1	yes	characteristic, complemented
113	C₂×#14524027	C₂²	1	1	yes	characteristic
114	C₂×#14524027	C₂²	1	1	yes	characteristic, complemented
115	C₂×#14524026	C₂²	1	1	yes	characteristic
116	C₂×#14524026	C₂²	1	1	yes	characteristic
117	C₂×#14524026	C₂²	1	1	yes	characteristic
118	C₂×#14524026	C₂²	1	1	yes	characteristic
119	C₂×#14524026	C₂²	1	1	yes	characteristic, complemented
120	C₂×#14524026	C₂²	1	1	yes	characteristic, complemented
121	C₂×#14524025	C₂²	1	1	yes	characteristic
122	C₂×#14524025	C₂²	1	1	yes	characteristic
123	C₂×#14524025	C₂²	1	1	yes	characteristic
124	C₂×#14524025	C₂²	1	1	yes	characteristic
125	C₂×#14524025	C₂²	1	1	yes	characteristic
126	C₂×#14524025	C₂²	1	1	yes	characteristic, complemented
127	C₂×#14524024	C₂²	1	1	yes	characteristic
128	C₂×#14524024	C₂²	1	1	yes	characteristic
129	C₂×#14524023	C₂²	1	1	yes	characteristic
130	C₂×#14524023	C₂²	1	1	yes	characteristic, complemented
131	C₂×#14524022	C₂²	1	1	yes	characteristic
132	C₂×#14524022	C₂²	1	1	yes	characteristic, complemented
133	C₂×#14524022	C₂²	1	1	yes	characteristic, complemented
134	C₂×#14524021	C₂²	1	1	yes	characteristic
135	C₂×#14524021	C₂²	1	1	yes	characteristic
136	C₂×#14524021	C₂²	1	1	yes	characteristic
137	C₂×#14524021	C₂²	1	1	yes	characteristic
138	C₂×#14524021	C₂²	1	1	yes	characteristic, complemented
139	C₂×#14524021	C₂²	1	1	yes	characteristic, complemented
140	C₂×#14524020	C₂²	1	1	yes	characteristic
141	C₂×#14524020	C₂²	1	1	yes	characteristic
142	C₂×#14524020	C₂²	1	1	yes	characteristic, complemented
143	C₂×#14524020	C₂²	1	1	yes	characteristic, complemented
144	C₂×#14524019	C₂²	1	1	yes	characteristic
145	C₂×#14524019	C₂²	1	1	yes	characteristic, complemented
146	C₂×#14524018	C₂²	1	1	yes	characteristic
147	C₂×#14524018	C₂²	1	1	yes	characteristic
148	C₂×#14524017	C₂²	1	1	yes	characteristic
149	C₂×#14524017	C₂²	1	1	yes	characteristic
150	C₂×#14524017	C₂²	1	1	yes	characteristic
151	C₂×#14524016	C₂²	1	1	yes	characteristic
152	C₂×#14524016	C₂²	1	1	yes	characteristic
153	C₂×#14524016	C₂²	1	1	yes	characteristic
154	C₂×#14524016	C₂²	1	1	yes	characteristic
155	C₂×#14524016	C₂²	1	1	yes	characteristic
156	C₂×#14524016	C₂²	1	1	yes	characteristic, complemented
157	C₂×#14524015	C₂²	1	1	yes	characteristic
158	C₂×#14524015	C₂²	1	1	yes	characteristic
159	C₂×#14524015	C₂²	1	1	yes	characteristic
160	C₂×#14524015	C₂²	1	1	yes	characteristic, complemented
161	C₂×#14524014	C₂²	1	1	yes	characteristic
162	C₂×#14524014	C₂²	1	1	yes	characteristic, complemented
163	C₂×#14524013	C₂²	1	1	yes	characteristic
164	C₂×#14524013	C₂²	1	1	yes	characteristic
165	C₂×#14524011	C₂²	1	1	yes	characteristic
166	C₂×#14524011	C₂²	1	1	yes	characteristic
167	C₂×C₄×Dic₁₃₄	C₂²	1	1	yes	characteristic, complemented
168	C₂×C₄×Dic₁₃₄	C₂²	1	1	yes	characteristic, complemented
169	C₂×C₄×Dic₁₃₄	C₂²	1	1	yes	characteristic, complemented
170	C₂×#14524008	C₂²	1	1	yes	characteristic, complemented
171	C₂×#14524008	C₂²	1	1	yes	characteristic, complemented
172	C₂×C₄×D₂₆₈	C₂²	1	1	yes	characteristic
173	C₂×C₄×D₂₆₈	C₂²	1	1	yes	characteristic
174	C₂×C₄×D₂₆₈	C₂²	1	1	yes	characteristic
175	C₂×#14524005	C₂²	1	1	yes	characteristic
176	C₂×#14524005	C₂²	1	1	yes	characteristic, complemented
177	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic
178	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic
179	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic
180	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic, complemented
181	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic, complemented
182	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic, complemented
183	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic
184	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic
185	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic
186	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
187	C₂×#14524001	C₂²	1	1	yes	characteristic
188	C₂×#14524001	C₂²	1	1	yes	characteristic, complemented
189	C₂×#14524000	C₂²	1	1	yes	characteristic
190	C₂×#14524000	C₂²	1	1	yes	characteristic
191	C₂×#14524000	C₂²	1	1	yes	characteristic
192	C₂×#14524000	C₂²	1	1	yes	characteristic, complemented
193	C₂×#14524000	C₂²	1	1	yes	characteristic, complemented
194	C₂×#14524000	C₂²	1	1	yes	characteristic, complemented
195	C₂×#14523999	C₂²	1	1	yes	characteristic
196	C₂×#14523999	C₂²	1	1	yes	characteristic, complemented
197	C₂²×Dic₆₇⋊C₄	C₂²	1	1	yes	characteristic, complemented
198	C₂×C₄⋊C₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
199	C₂×C₄⋊C₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
200	C₂²×(C₂×D₆₇)⋊C₄	C₂²	1	1	yes	characteristic
201	C₂×C₂²⋊C₄×D₆₇	C₂²	1	1	yes	characteristic
202	C₂×C₂²⋊C₄×D₆₇	C₂²	1	1	yes	characteristic
203	#529×C₆₇	C₂²	1	16	yes	complemented
204	C₂×#126×C₆₇	C₂²	1	1	yes	characteristic
205	C₂×#126×C₆₇	C₂²	1	1	yes	characteristic, complemented
206	C₂×#125×C₆₇	C₂²	1	1	yes	characteristic, complemented
207	C₂×#124×C₆₇	C₂²	1	1	yes	characteristic
208	C₂×#123×C₆₇	C₂²	1	1	yes	characteristic
209	C₂×#123×C₆₇	C₂²	1	1	yes	characteristic, complemented
210	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
211	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic
212	C₂×C₄×Q₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
213	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic
214	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic
215	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
216	C₂×#117×C₆₇	C₂²	1	1	yes	characteristic
217	C₂×#117×C₆₇	C₂²	1	1	yes	characteristic, complemented
218	C₂²×C₄²×C₆₇	C₂²	1	1	yes	characteristic, complemented
219	C₂⁴×D₆₇	C₂³	1	1	yes	characteristic
220	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic
221	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic
222	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic
223	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic
224	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic
225	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
226	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
227	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
228	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
229	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
230	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
231	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
232	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
233	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
234	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
235	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
236	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
237	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
238	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
239	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
240	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
241	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
242	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
243	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
244	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
245	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
246	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
247	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
248	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
249	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
250	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
251	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
252	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
253	#14524042	C₂³	1	8	yes	complemented
254	#14524042	C₂³	1	8	yes	complemented
255	#14524041	C₂³	1	8	yes	complemented
256	#14524039	C₂³	1	8	yes	—
257	#14524038	C₂³	1	8	yes	—
258	#14524038	C₂³	1	8	yes	—
259	#14524038	C₂³	1	8	yes	—
260	#14524038	C₂³	1	8	yes	—
261	#14524038	C₂³	1	8	yes	—
262	#14524038	C₂³	1	8	yes	—
263	#14524037	C₂³	1	8	yes	—
264	#14524037	C₂³	1	8	yes	—
265	#14524037	C₂³	1	8	yes	—
266	#14524037	C₂³	1	8	yes	—
267	#14524037	C₂³	1	8	yes	complemented
268	#14524037	C₂³	1	8	yes	complemented
269	#14524036	C₂³	1	8	yes	—
270	#14524036	C₂³	1	8	yes	—
271	#14524036	C₂³	1	8	yes	—
272	#14524036	C₂³	1	8	yes	complemented
273	#14524036	C₂³	1	8	yes	complemented
274	#14524036	C₂³	1	8	yes	complemented
275	#14524035	C₂³	1	8	yes	complemented
276	#14524035	C₂³	1	8	yes	complemented
277	#14524035	C₂³	1	8	yes	complemented
278	#14524034	C₂³	1	8	yes	complemented
279	#14524034	C₂³	1	8	yes	complemented
280	#14524033	C₂³	1	8	yes	complemented
281	#14524033	C₂³	1	8	yes	complemented
282	#14524033	C₂³	1	8	yes	complemented
283	#14524033	C₂³	1	8	yes	complemented
284	#14524033	C₂³	1	8	yes	complemented
285	#14524033	C₂³	1	8	yes	complemented
286	#14524032	C₂³	1	8	yes	—
287	#14524031	C₂³	1	8	yes	—
288	#14524031	C₂³	1	8	yes	—
289	#14524031	C₂³	1	8	yes	complemented
290	#14524030	C₂³	1	8	yes	—
291	#14524029	C₂³	1	8	yes	—
292	#14524029	C₂³	1	8	yes	—
293	#14524029	C₂³	1	8	yes	—
294	#14524029	C₂³	1	8	yes	—
295	#14524029	C₂³	1	8	yes	complemented
296	#14524029	C₂³	1	8	yes	complemented
297	#14524028	C₂³	1	8	yes	—
298	#14524028	C₂³	1	8	yes	—
299	#14524028	C₂³	1	8	yes	—
300	#14524028	C₂³	1	8	yes	—
301	#14524028	C₂³	1	8	yes	—
302	#14524028	C₂³	1	8	yes	complemented
303	#14524027	C₂³	1	8	yes	—
304	#14524027	C₂³	1	8	yes	complemented
305	#14524026	C₂³	1	8	yes	—
306	#14524026	C₂³	1	8	yes	—
307	#14524026	C₂³	1	8	yes	—
308	#14524026	C₂³	1	8	yes	—
309	#14524026	C₂³	1	8	yes	complemented
310	#14524026	C₂³	1	8	yes	complemented
311	#14524025	C₂³	1	8	yes	—
312	#14524025	C₂³	1	8	yes	—
313	#14524025	C₂³	1	8	yes	—
314	#14524025	C₂³	1	8	yes	—
315	#14524025	C₂³	1	8	yes	—
316	#14524025	C₂³	1	8	yes	complemented
317	#14524024	C₂³	1	8	yes	—
318	#14524024	C₂³	1	8	yes	—
319	#14524023	C₂³	1	8	yes	—
320	#14524023	C₂³	1	8	yes	complemented
321	#14524022	C₂³	1	8	yes	—
322	#14524022	C₂³	1	8	yes	complemented
323	#14524022	C₂³	1	8	yes	complemented
324	#14524021	C₂³	1	8	yes	—
325	#14524021	C₂³	1	8	yes	—
326	#14524021	C₂³	1	8	yes	—
327	#14524021	C₂³	1	8	yes	—
328	#14524021	C₂³	1	8	yes	complemented
329	#14524021	C₂³	1	8	yes	complemented
330	#14524020	C₂³	1	8	yes	—
331	#14524020	C₂³	1	8	yes	—
332	#14524020	C₂³	1	8	yes	complemented
333	#14524020	C₂³	1	8	yes	complemented
334	#14524019	C₂³	1	8	yes	—
335	#14524019	C₂³	1	8	yes	complemented
336	#14524018	C₂³	1	8	yes	—
337	#14524018	C₂³	1	8	yes	—
338	#14524017	C₂³	1	8	yes	—
339	#14524017	C₂³	1	8	yes	—
340	#14524017	C₂³	1	8	yes	—
341	#14524016	C₂³	1	8	yes	—
342	#14524016	C₂³	1	8	yes	—
343	#14524016	C₂³	1	8	yes	—
344	#14524016	C₂³	1	8	yes	—
345	#14524016	C₂³	1	8	yes	—
346	#14524016	C₂³	1	8	yes	complemented
347	#14524015	C₂³	1	8	yes	—
348	#14524015	C₂³	1	8	yes	—
349	#14524015	C₂³	1	8	yes	—
350	#14524015	C₂³	1	8	yes	complemented
351	#14524014	C₂³	1	8	yes	—
352	#14524014	C₂³	1	8	yes	complemented
353	#14524013	C₂³	1	8	yes	—
354	#14524013	C₂³	1	8	yes	—
355	#14524011	C₂³	1	8	yes	—
356	#14524011	C₂³	1	8	yes	—
357	C₄×Dic₁₃₄	C₂³	1	8	yes	complemented
358	C₄×Dic₁₃₄	C₂³	1	8	yes	complemented
359	C₄×Dic₁₃₄	C₂³	1	8	yes	complemented
360	#14524008	C₂³	1	8	yes	complemented
361	#14524008	C₂³	1	8	yes	complemented
362	C₄×D₂₆₈	C₂³	1	8	yes	—
363	C₄×D₂₆₈	C₂³	1	8	yes	—
364	C₄×D₂₆₈	C₂³	1	8	yes	—
365	#14524005	C₂³	1	8	yes	—
366	#14524005	C₂³	1	8	yes	complemented
367	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	—
368	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	—
369	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	—
370	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	complemented
371	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	complemented
372	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	complemented
373	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	—
374	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	—
375	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	—
376	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	complemented
377	#14524001	C₂³	1	8	yes	—
378	#14524001	C₂³	1	8	yes	complemented
379	#14524000	C₂³	1	8	yes	—
380	#14524000	C₂³	1	8	yes	—
381	#14524000	C₂³	1	8	yes	—
382	#14524000	C₂³	1	8	yes	complemented
383	#14524000	C₂³	1	8	yes	complemented
384	#14524000	C₂³	1	8	yes	complemented
385	#14523999	C₂³	1	8	yes	—
386	#14523999	C₂³	1	8	yes	complemented
387	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
388	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
389	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
390	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
391	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
392	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
393	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
394	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
395	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
396	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
397	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
398	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
399	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
400	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
401	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
402	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
403	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
404	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
405	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
406	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
407	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
408	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
409	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
410	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
411	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
412	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
413	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
414	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
415	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
416	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
417	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
418	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
419	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
420	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
421	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
422	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
423	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
424	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
425	C₂×Dic₆₇⋊C₄	C₂³	1	8	yes	complemented
426	C₄⋊C₄×D₆₇	C₂³	1	8	yes	complemented
427	C₄⋊C₄×D₆₇	C₂³	1	8	yes	complemented
428	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
429	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
430	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
431	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
432	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
433	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
434	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
435	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
436	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
437	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
438	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	8	yes	—
439	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
440	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
441	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
442	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
443	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
444	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
445	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
446	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
447	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
448	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
449	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
450	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
451	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
452	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
453	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
454	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
455	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
456	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
457	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
458	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
459	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
460	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
461	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
462	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
463	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
464	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
465	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
466	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
467	C₂²⋊C₄×D₆₇	C₂³	1	8	yes	—
468	C₂²⋊C₄×D₆₇	C₂³	1	8	yes	—
469	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
470	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
471	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
472	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
473	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
474	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
475	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
476	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
477	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
478	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
479	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic
480	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
481	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
482	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
483	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
484	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
485	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
486	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
487	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
488	#126×C₆₇	C₂³	1	8	yes	—
489	#126×C₆₇	C₂³	1	8	yes	complemented
490	#125×C₆₇	C₂³	1	8	yes	complemented
491	#124×C₆₇	C₂³	1	8	yes	—
492	#123×C₆₇	C₂³	1	8	yes	—
493	#123×C₆₇	C₂³	1	8	yes	complemented
494	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	complemented
495	#121×C₆₇	C₂³	1	8	yes	—
496	C₄×Q₈×C₆₇	C₂³	1	8	yes	complemented
497	C₄×D₄×C₆₇	C₂³	1	8	yes	—
498	C₄×D₄×C₆₇	C₂³	1	8	yes	—
499	C₄×D₄×C₆₇	C₂³	1	8	yes	complemented
500	#117×C₆₇	C₂³	1	8	yes	—
501	#117×C₆₇	C₂³	1	8	yes	complemented
502	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
503	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
504	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
505	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
506	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
507	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
508	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
509	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
510	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
511	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
512	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
513	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
514	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
515	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
516	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
517	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
518	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
519	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
520	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
521	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
522	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
523	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
524	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
525	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
526	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
527	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
528	C₂×C₄²×C₆₇	C₂³	1	8	yes	complemented
529	C₂³×D₆₇	—	4	2	no	—
530	C₂³×D₆₇	—	4	2	no	—
531	C₂³×D₆₇	—	4	2	no	—
532	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
533	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
534	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
535	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
536	C₂³×D₆₇	C₂⁴	1	4	yes	—
537	C₂×Dic₁₃₄	—	4	2	no	—
538	C₂×Dic₁₃₄	—	4	2	no	—
539	C₂×Dic₁₃₄	—	4	2	no	—
540	C₂×Dic₁₃₄	—	4	2	no	—
541	C₂×Dic₁₃₄	—	4	2	no	—
542	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
543	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
544	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
545	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
546	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
547	C₂×D₂₆₈	—	4	2	no	—
548	C₂×D₂₆₈	—	4	2	no	—
549	C₂×D₂₆₈	—	4	2	no	—
550	C₂×D₂₆₈	—	4	2	no	—
551	C₂×D₂₆₈	—	4	2	no	—
552	C₂×D₂₆₈	C₂⁴	1	4	yes	—
553	C₂×D₂₆₈	C₂⁴	1	4	yes	—
554	C₂×D₂₆₈	C₂⁴	1	4	yes	—
555	C₂×D₂₆₈	C₂⁴	1	4	yes	—
556	C₂×D₂₆₈	C₂⁴	1	4	yes	—
557	C₂×C₂²⋊D₆₇	—	4	2	no	—
558	C₂×C₂²⋊D₆₇	—	4	2	no	—
559	C₂×C₂²⋊D₆₇	—	4	2	no	—
560	C₂×C₂²⋊D₆₇	—	4	2	no	—
561	C₂×C₂²⋊D₆₇	—	4	2	no	—
562	C₂×C₂²⋊D₆₇	—	4	2	no	—
563	C₂×C₂²⋊D₆₇	—	4	2	no	—
564	C₂×C₂²⋊D₆₇	—	4	2	no	—
565	C₂×C₂²⋊D₆₇	—	4	2	no	—
566	C₂×C₂²⋊D₆₇	—	4	2	no	—
567	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
568	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
569	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
570	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
571	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
572	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
573	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
574	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
575	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
576	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
577	C₂²×Dic₆₇	—	4	2	no	—
578	C₂²×Dic₆₇	—	4	2	no	—
579	C₂²×Dic₆₇	—	4	2	no	—
580	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
581	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
582	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
583	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
584	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
585	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
586	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
587	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
588	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
589	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
590	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
591	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
592	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
593	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
594	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
595	C₂×C₄×D₆₇	—	4	2	no	—
596	C₂×C₄×D₆₇	—	4	2	no	—
597	C₂×C₄×D₆₇	—	4	2	no	—
598	C₂×C₄×D₆₇	—	4	2	no	—
599	C₂×C₄×D₆₇	—	4	2	no	—
600	C₂×C₄×D₆₇	—	4	2	no	—
601	C₂×C₄×D₆₇	—	4	2	no	—
602	C₂×C₄×D₆₇	—	4	2	no	—
603	C₂×C₄×D₆₇	—	4	2	no	—
604	C₂×C₄×D₆₇	—	4	2	no	—
605	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
606	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
607	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
608	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
609	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
610	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
611	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
612	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
613	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
614	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
615	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
616	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
617	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
618	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
619	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
620	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
621	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
622	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
623	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
624	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
625	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
626	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
627	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
628	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
629	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
630	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
631	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
632	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
633	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
634	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
635	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
636	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
637	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
638	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
639	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
640	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
641	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
642	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
643	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
644	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
645	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
646	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
647	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
648	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
649	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
650	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
651	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
652	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
653	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
654	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
655	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
656	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
657	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
658	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
659	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
660	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
661	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
662	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
663	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
664	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
665	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
666	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
667	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
668	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
669	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
670	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
671	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
672	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
673	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
674	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
675	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
676	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
677	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
678	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
679	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
680	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
681	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
682	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
683	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
684	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
685	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
686	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
687	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
688	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
689	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
690	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
691	C₄×Dic₆₇	C₂⁴	1	4	yes	—
692	C₄×Dic₆₇	C₂⁴	1	4	yes	—
693	C₄×Dic₆₇	C₂⁴	1	4	yes	—
694	C₄×Dic₆₇	C₂⁴	1	4	yes	—
695	C₄×Dic₆₇	C₂⁴	1	4	yes	—
696	C₄×Dic₆₇	C₂⁴	1	4	yes	—
697	C₄×Dic₆₇	C₂⁴	1	4	yes	—
698	C₄×Dic₆₇	C₂⁴	1	4	yes	—
699	C₄×Dic₆₇	C₂⁴	1	4	yes	—
700	C₄×Dic₆₇	C₂⁴	1	4	yes	—
701	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
702	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
703	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
704	C₂×Q₈×C₆₇	—	4	2	no	—
705	C₂×Q₈×C₆₇	C₂⁴	1	4	yes	—
706	C₂×D₄×C₆₇	—	4	2	no	—
707	C₂×D₄×C₆₇	—	4	2	no	—
708	C₂×D₄×C₆₇	—	4	2	no	—
709	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
710	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
711	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
712	C₂²×C₄×C₆₇	—	4	2	no	—
713	C₂²×C₄×C₆₇	—	4	2	no	—
714	C₂²×C₄×C₆₇	—	4	2	no	—
715	C₂²×C₄×C₆₇	—	4	2	no	—
716	C₂²×C₄×C₆₇	—	4	2	no	—
717	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
718	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
719	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
720	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
721	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
722	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
723	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
724	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
725	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
726	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
727	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
728	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
729	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
730	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
731	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
732	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
733	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
734	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
735	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
736	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
737	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
738	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
739	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
740	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
741	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
742	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
743	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
744	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
745	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
746	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
747	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
748	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
749	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
750	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
751	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
752	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
753	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
754	C₄²×C₆₇	C₂⁴	1	4	yes	—
755	C₄²×C₆₇	C₂⁴	1	4	yes	—
756	C₄²×C₆₇	C₂⁴	1	4	yes	—
757	C₄²×C₆₇	C₂⁴	1	4	yes	—
758	C₄²×C₆₇	C₂⁴	1	4	yes	—
759	C₄²×C₆₇	C₂⁴	1	4	yes	—
760	C₂³×C₆₇	—	2	2	no	—
761	C₂³×C₆₇	—	2	2	no	—
762	C₂³×C₆₇	—	2	2	no	—
763	C₂³×C₆₇	—	2	2	no	—
764	C₂³×C₆₇	—	2	2	no	—
765	C₂³×C₆₇	—	2	2	no	—
766	C₂³×C₆₇	—	2	2	no	—
767	C₂³×C₆₇	—	2	2	no	—
768	C₂³×C₆₇	—	2	2	no	—
769	C₂³×C₆₇	C₂⁵	1	2	yes	—
770	C₂³×C₆₇	C₂⁵	1	2	yes	—
771	C₂³×C₆₇	C₂⁵	1	2	yes	—
772	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
773	C₂²×D₆₇	—	2	2	no	—
774	C₂²×D₆₇	—	2	2	no	—
775	C₂²×D₆₇	—	2	2	no	—
776	C₂²×D₆₇	—	2	2	no	—
777	C₂²×D₆₇	—	2	2	no	—
778	C₂²×D₆₇	—	2	2	no	—
779	C₂²×D₆₇	—	2	2	no	—
780	C₂²×D₆₇	—	2	2	no	—
781	C₂²×D₆₇	—	2	2	no	—
782	C₂²×D₆₇	—	2	2	no	—
783	C₂²×D₆₇	—	2	2	no	—
784	C₂²×D₆₇	—	2	2	no	—
785	C₂²×D₆₇	—	4	4	no	—
786	C₂²×D₆₇	—	4	4	no	—
787	C₂²×D₆₇	—	4	4	no	—
788	C₂²×D₆₇	—	8	8	no	—
789	C₂²×D₆₇	C₂⁵	1	2	yes	—
790	C₂²×D₆₇	C₂⁵	1	2	yes	—
791	C₂²×D₆₇	C₂⁵	1	2	yes	—
792	C₂²×D₆₇	C₂⁵	1	2	yes	—
793	Q₈×C₆₇	—	4	4	no	—
794	D₄×C₆₇	—	4	4	no	—
795	D₄×C₆₇	—	4	4	no	—
796	D₄×C₆₇	—	4	4	no	—
797	C₂×C₄×C₆₇	—	2	2	no	—
798	C₂×C₄×C₆₇	—	2	2	no	—
799	C₂×C₄×C₆₇	—	2	2	no	—
800	C₂×C₄×C₆₇	—	2	2	no	—
801	C₂×C₄×C₆₇	—	2	2	no	—
802	C₂×C₄×C₆₇	—	2	2	no	—
803	C₂×C₄×C₆₇	—	2	2	no	—
804	C₂×C₄×C₆₇	—	2	2	no	—
805	C₂×C₄×C₆₇	—	2	2	no	—
806	C₂×C₄×C₆₇	—	2	2	no	—
807	C₂×C₄×C₆₇	—	2	2	no	—
808	C₂×C₄×C₆₇	—	2	2	no	—
809	C₂×C₄×C₆₇	—	4	4	no	—
810	C₂×C₄×C₆₇	—	4	4	no	—
811	C₂×C₄×C₆₇	—	4	4	no	—
812	C₂×C₄×C₆₇	—	4	4	no	—
813	C₂×C₄×C₆₇	—	4	4	no	—
814	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
815	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
816	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
817	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
818	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
819	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
820	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
821	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
822	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
823	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
824	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
825	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
826	C₂²⋊D₆₇	—	4	4	no	—
827	C₂²⋊D₆₇	—	4	4	no	—
828	C₂²⋊D₆₇	—	4	4	no	—
829	C₂²⋊D₆₇	—	4	4	no	—
830	C₂²⋊D₆₇	—	4	4	no	—
831	C₂²⋊D₆₇	—	4	4	no	—
832	C₂²⋊D₆₇	—	4	4	no	—
833	C₂²⋊D₆₇	—	4	4	no	—
834	C₂²⋊D₆₇	—	4	4	no	—
835	C₂²⋊D₆₇	—	4	4	no	—
836	C₂×Dic₆₇	—	2	2	no	—
837	C₂×Dic₆₇	—	2	2	no	—
838	C₂×Dic₆₇	—	2	2	no	—
839	C₂×Dic₆₇	—	2	2	no	—
840	C₂×Dic₆₇	—	2	2	no	—
841	C₂×Dic₆₇	—	2	2	no	—
842	C₂×Dic₆₇	—	2	2	no	—
843	C₂×Dic₆₇	—	2	2	no	—
844	C₂×Dic₆₇	—	2	2	no	—
845	C₂×Dic₆₇	—	2	2	no	—
846	C₂×Dic₆₇	—	2	2	no	—
847	C₂×Dic₆₇	—	2	2	no	—
848	C₂×Dic₆₇	—	4	4	no	—
849	C₂×Dic₆₇	—	4	4	no	—
850	C₂×Dic₆₇	—	4	4	no	—
851	C₂×Dic₆₇	C₂⁵	1	2	yes	—
852	C₂×Dic₆₇	C₂⁵	1	2	yes	—
853	C₂×Dic₆₇	C₂⁵	1	2	yes	—
854	C₂×Dic₆₇	C₂⁵	1	2	yes	—
855	C₂×Dic₆₇	C₂⁵	1	2	yes	—
856	C₂×Dic₆₇	C₂⁵	1	2	yes	—
857	C₂×Dic₆₇	C₂⁵	1	2	yes	—
858	C₂×Dic₆₇	C₂⁵	1	2	yes	—
859	C₂×Dic₆₇	C₂⁵	1	2	yes	—
860	C₂×Dic₆₇	C₂⁵	1	2	yes	—
861	C₂×Dic₆₇	C₂⁵	1	2	yes	—
862	C₂×Dic₆₇	C₂⁵	1	2	yes	—
863	D₂₆₈	—	4	4	no	—
864	D₂₆₈	—	4	4	no	—
865	D₂₆₈	—	4	4	no	—
866	D₂₆₈	—	4	4	no	—
867	D₂₆₈	—	4	4	no	—
868	C₄×D₆₇	—	4	4	no	—
869	C₄×D₆₇	—	4	4	no	—
870	C₄×D₆₇	—	4	4	no	—
871	C₄×D₆₇	—	4	4	no	—
872	C₄×D₆₇	—	4	4	no	—
873	C₄×D₆₇	—	4	4	no	—
874	C₄×D₆₇	—	4	4	no	—
875	C₄×D₆₇	—	4	4	no	—
876	C₄×D₆₇	—	4	4	no	—
877	C₄×D₆₇	—	4	4	no	—
878	Dic₁₃₄	—	4	4	no	—
879	Dic₁₃₄	—	4	4	no	—
880	Dic₁₃₄	—	4	4	no	—
881	Dic₁₃₄	—	4	4	no	—
882	Dic₁₃₄	—	4	4	no	—
883	C₂²×C₆₇	—	2	2	no	—
884	C₂²×C₆₇	—	2	2	no	—
885	C₂²×C₆₇	—	2	2	no	—
886	C₂²×C₆₇	—	2	2	no	—
887	C₂²×C₆₇	—	2	2	no	—
888	C₂²×C₆₇	—	2	2	no	—
889	C₂²×C₆₇	—	2	2	no	—
890	C₂²×C₆₇	—	2	2	no	—
891	C₂²×C₆₇	—	2	2	no	—
892	C₂²×C₆₇	—	4	4	no	—
893	C₂²×C₆₇	—	4	4	no	—
894	C₂²×C₆₇	—	4	4	no	—
895	C₂²×C₆₇	#585	1	2	yes	—
896	C₂²×C₆₇	#585	1	2	yes	—
897	C₂²×C₆₇	#585	1	2	yes	—
898	C₂²×C₆₇	C₂⁶	1	1	yes	characteristic
899	C₂×D₆₇	—	2	2	no	—
900	C₂×D₆₇	—	2	2	no	—
901	C₂×D₆₇	—	2	2	no	—
902	C₂×D₆₇	—	2	2	no	—
903	C₂×D₆₇	—	2	2	no	—
904	C₂×D₆₇	—	2	2	no	—
905	C₂×D₆₇	—	2	2	no	—
906	C₂×D₆₇	—	2	2	no	—
907	C₂×D₆₇	—	2	2	no	—
908	C₂×D₆₇	—	2	2	no	—
909	C₂×D₆₇	—	2	2	no	—
910	C₂×D₆₇	—	2	2	no	—
911	C₂×D₆₇	—	4	4	no	—
912	C₂×D₆₇	—	4	4	no	—
913	C₂×D₆₇	—	4	4	no	—
914	C₂×D₆₇	—	4	4	no	—
915	C₂×D₆₇	—	8	8	no	—
916	C₄×C₆₇	—	2	2	no	—
917	C₄×C₆₇	—	2	2	no	—
918	C₄×C₆₇	—	2	2	no	—
919	C₄×C₆₇	—	2	2	no	—
920	C₄×C₆₇	—	2	2	no	—
921	C₄×C₆₇	—	2	2	no	—
922	C₄×C₆₇	—	2	2	no	—
923	C₄×C₆₇	—	2	2	no	—
924	C₄×C₆₇	—	2	2	no	—
925	C₄×C₆₇	—	2	2	no	—
926	C₄×C₆₇	—	2	2	no	—
927	C₄×C₆₇	—	2	2	no	—
928	Dic₆₇	—	2	2	no	—
929	Dic₆₇	—	2	2	no	—
930	Dic₆₇	—	2	2	no	—
931	Dic₆₇	—	2	2	no	—
932	Dic₆₇	—	2	2	no	—
933	Dic₆₇	—	2	2	no	—
934	Dic₆₇	—	2	2	no	—
935	Dic₆₇	—	2	2	no	—
936	Dic₆₇	—	2	2	no	—
937	Dic₆₇	—	2	2	no	—
938	Dic₆₇	—	2	2	no	—
939	Dic₆₇	—	2	2	no	—
940	C₂×#3566	—	67	1	no	maximal, Sylow
941	C₂×C₆₇	—	4	2	no	—
942	C₂×C₆₇	—	4	2	no	—
943	C₂×C₆₇	—	4	2	no	—
944	C₂×C₆₇	#3566	1	4	yes	complemented
945	C₂×C₆₇	C₂×#585	1	1	yes	characteristic
946	C₂×C₆₇	C₂×#585	1	1	yes	characteristic
947	C₂×C₆₇	C₂×#585	1	1	yes	characteristic
948	D₆₇	—	4	2	no	—
949	D₆₇	—	4	2	no	—
950	D₆₇	—	4	2	no	—
951	D₆₇	—	4	2	no	—
952	#3566	—	67	32	no	—
953	C₂×#563	—	67	1	no	—
954	C₂×#562	—	67	1	no	—
955	C₂×#562	—	67	1	no	—
956	C₂×#560	—	67	1	no	—
957	C₂×#559	—	67	1	no	—
958	C₂×#556	—	67	1	no	—
959	C₂×#555	—	67	1	no	—
960	C₂×#553	—	67	1	no	—
961	C₂×#553	—	67	1	no	—
962	C₂×#553	—	67	1	no	—
963	C₂×#552	—	67	1	no	—
964	C₂×#552	—	67	1	no	—
965	C₂×#552	—	67	1	no	—
966	C₂×#551	—	67	1	no	—
967	C₂×#551	—	67	1	no	—
968	C₂×#551	—	67	1	no	—
969	C₂×#542	—	67	1	no	—
970	C₂×#542	—	67	1	no	—
971	C₂×#542	—	67	1	no	—
972	C₂×#541	—	67	1	no	—
973	C₂×#541	—	67	1	no	—
974	C₂×#540	—	67	1	no	—
975	C₂×#539	—	67	1	no	—
976	C₂×#539	—	67	1	no	—
977	C₂×#539	—	67	1	no	—
978	C₂×#538	—	67	1	no	—
979	C₂×#538	—	67	1	no	—
980	C₂×#538	—	67	1	no	—
981	C₂×#529	—	67	1	no	—
982	C₂×#529	—	67	1	no	—
983	C₂×#529	D₆₇	1	1	yes	characteristic, complemented
984	C₆₇	C₂×#3566	1	1	yes	characteristic, complemented, Sylow
985	#563	—	67	16	no	—
986	#562	—	67	16	no	—
987	#562	—	67	16	no	—
988	#560	—	67	16	no	—
989	#559	—	67	16	no	—
990	#556	—	67	16	no	—
991	#555	—	67	16	no	—
992	#553	—	67	16	no	—
993	#553	—	67	16	no	—
994	#553	—	67	16	no	—
995	#552	—	67	16	no	—
996	#552	—	67	16	no	—
997	#552	—	67	16	no	—
998	#551	—	67	16	no	—
999	#551	—	67	16	no	—
1000	#551	—	67	16	no	—
1001	#542	—	67	16	no	—
1002	#542	—	67	16	no	—
1003	#542	—	67	16	no	—
1004	#541	—	67	16	no	—
1005	#541	—	67	16	no	—
1006	#540	—	67	16	no	—
1007	#539	—	67	16	no	—
1008	#539	—	67	16	no	—
1009	#539	—	67	16	no	—
1010	#538	—	67	16	no	—
1011	#538	—	67	16	no	—
1012	#538	—	67	16	no	—
1013	C₂×C₄⋊Q₈	—	67	1	no	—
1014	C₂×C₄⋊Q₈	—	67	1	no	—
1015	C₂×C₄⋊Q₈	—	67	1	no	—
1016	C₂×#127	—	67	1	no	—
1017	#529	—	67	16	no	—
1018	#529	—	67	16	no	—
1019	#529	C₂×D₆₇	1	16	yes	complemented
1020	C₂×#126	—	67	1	no	—
1021	C₂×#126	—	67	1	no	—
1022	C₂×#126	—	67	1	no	—
1023	C₂×#126	—	67	1	no	—
1024	C₂×#126	—	67	1	no	—
1025	C₂×#126	—	67	1	no	—
1026	C₂×#126	—	67	1	no	—
1027	C₂×#126	—	67	1	no	—
1028	C₂×#126	—	67	1	no	—
1029	C₂×#126	—	67	1	no	—
1030	C₂×#126	—	67	1	no	—
1031	C₂×#126	—	67	1	no	—
1032	C₂×#126	—	67	1	no	—
1033	C₂×#126	—	67	1	no	—
1034	C₂×#126	—	67	1	no	—
1035	C₂×#126	—	67	1	no	—
1036	C₂×#126	—	67	1	no	—
1037	C₂×#126	—	67	1	no	—
1038	C₂×#126	C₂×D₆₇	1	1	yes	characteristic
1039	C₂×#126	C₂×D₆₇	1	1	yes	characteristic, complemented
1040	C₂×#125	—	67	1	no	—
1041	C₂×#125	—	67	1	no	—
1042	C₂×#125	—	67	1	no	—
1043	C₂×#125	—	67	1	no	—
1044	C₂×#125	—	67	1	no	—
1045	C₂×#125	—	67	1	no	—
1046	C₂×#125	—	67	1	no	—
1047	C₂×#125	—	67	1	no	—
1048	C₂×#125	—	67	1	no	—
1049	C₂×#125	—	67	1	no	—
1050	C₂×#125	—	67	1	no	—
1051	C₂×#125	C₂×D₆₇	1	1	yes	characteristic, complemented
1052	C₂×#124	—	67	1	no	—
1053	C₂×#124	—	67	1	no	—
1054	C₂×#124	—	67	1	no	—
1055	C₂×#124	—	67	1	no	—
1056	C₂×#124	—	67	1	no	—
1057	C₂×#124	—	67	1	no	—
1058	C₂×#124	—	67	1	no	—
1059	C₂×#124	—	67	1	no	—
1060	C₂×#124	—	67	1	no	—
1061	C₂×#124	—	67	1	no	—
1062	C₂×#124	—	67	1	no	—
1063	C₂×#124	C₂×D₆₇	1	1	yes	characteristic
1064	C₂×#123	—	67	1	no	—
1065	C₂×#123	—	67	1	no	—
1066	C₂×#123	—	67	1	no	—
1067	C₂×#123	—	67	1	no	—
1068	C₂×#123	—	67	1	no	—
1069	C₂×#123	—	67	1	no	—
1070	C₂×#123	—	67	1	no	—
1071	C₂×#123	—	67	1	no	—
1072	C₂×#123	—	67	1	no	—
1073	C₂×#123	—	67	1	no	—
1074	C₂×#123	—	67	1	no	—
1075	C₂×#123	—	67	1	no	—
1076	C₂×#123	—	67	1	no	—
1077	C₂×#123	—	67	1	no	—
1078	C₂×#123	—	67	1	no	—
1079	C₂×#123	—	67	1	no	—
1080	C₂×#123	—	67	1	no	—
1081	C₂×#123	—	67	1	no	—
1082	C₂×#123	—	67	1	no	—
1083	C₂×#123	—	67	1	no	—
1084	C₂×#123	—	67	1	no	—
1085	C₂×#123	—	67	1	no	—
1086	C₂×#123	C₂×D₆₇	1	1	yes	characteristic
1087	C₂×#123	C₂×D₆₇	1	1	yes	characteristic, complemented
1088	C₂×C₂²⋊Q₈	—	67	1	no	—
1089	C₂×C₂²⋊Q₈	—	67	1	no	—
1090	C₂×C₂²⋊Q₈	—	67	1	no	—
1091	C₂×C₂²⋊Q₈	—	67	1	no	—
1092	C₂×C₂²⋊Q₈	—	67	1	no	—
1093	C₂×C₂²⋊Q₈	—	67	1	no	—
1094	C₂×C₂²⋊Q₈	—	67	1	no	—
1095	C₂×C₂²⋊Q₈	—	67	1	no	—
1096	C₂×C₂²⋊Q₈	—	67	1	no	—
1097	C₂×C₂²⋊Q₈	—	67	1	no	—
1098	C₂×C₂²⋊Q₈	—	67	1	no	—
1099	C₂×C₂²⋊Q₈	—	67	1	no	—
1100	C₂×C₂²⋊Q₈	—	67	1	no	—
1101	C₂×C₂²⋊Q₈	—	67	1	no	—
1102	C₂×C₂²⋊Q₈	—	67	1	no	—
1103	C₂×C₂²⋊Q₈	—	67	1	no	—
1104	C₂×C₂²⋊Q₈	—	67	1	no	—
1105	C₂×C₂²⋊Q₈	C₂×D₆₇	1	1	yes	characteristic, complemented
1106	C₂×#121	—	67	1	no	—
1107	C₂×#121	—	67	1	no	—
1108	C₂×#121	—	67	1	no	—
1109	C₂×#121	—	67	1	no	—
1110	C₂×#121	—	67	1	no	—
1111	C₂×#121	—	67	1	no	—
1112	C₂×#121	—	67	1	no	—
1113	C₂×#121	—	67	1	no	—
1114	C₂×#121	—	67	1	no	—
1115	C₂×#121	—	67	1	no	—
1116	C₂×#121	—	67	1	no	—
1117	C₂×#121	—	67	1	no	—
1118	C₂×#121	—	67	1	no	—
1119	C₂×#121	—	67	1	no	—
1120	C₂×#121	—	67	1	no	—
1121	C₂×#121	—	67	1	no	—
1122	C₂×#121	—	67	1	no	—
1123	C₂×#121	C₂×D₆₇	1	1	yes	characteristic
1124	C₂×#120	—	67	1	no	—
1125	C₂×#120	—	67	1	no	—
1126	C₂×#120	—	67	1	no	—
1127	C₂×#120	—	67	1	no	—
1128	C₂×C₄×Q₈	—	67	1	no	—
1129	C₂×C₄×Q₈	—	67	1	no	—
1130	C₂×C₄×Q₈	—	67	1	no	—
1131	C₂×C₄×Q₈	—	67	1	no	—
1132	C₂×C₄×Q₈	—	67	1	no	—
1133	C₂×C₄×Q₈	C₂×D₆₇	1	1	yes	characteristic, complemented
1134	C₂×C₄×D₄	—	67	1	no	—
1135	C₂×C₄×D₄	—	67	1	no	—
1136	C₂×C₄×D₄	—	67	1	no	—
1137	C₂×C₄×D₄	—	67	1	no	—
1138	C₂×C₄×D₄	—	67	1	no	—
1139	C₂×C₄×D₄	—	67	1	no	—
1140	C₂×C₄×D₄	—	67	1	no	—
1141	C₂×C₄×D₄	—	67	1	no	—
1142	C₂×C₄×D₄	—	67	1	no	—
1143	C₂×C₄×D₄	—	67	1	no	—
1144	C₂×C₄×D₄	—	67	1	no	—
1145	C₂×C₄×D₄	—	67	1	no	—
1146	C₂×C₄×D₄	—	67	1	no	—
1147	C₂×C₄×D₄	—	67	1	no	—
1148	C₂×C₄×D₄	—	67	1	no	—
1149	C₂×C₄×D₄	C₂×D₆₇	1	1	yes	characteristic
1150	C₂×C₄×D₄	C₂×D₆₇	1	1	yes	characteristic
1151	C₂×C₄×D₄	C₂×D₆₇	1	1	yes	characteristic, complemented
1152	C₂×#117	—	67	1	no	—
1153	C₂×#117	—	67	1	no	—
1154	C₂×#117	—	67	1	no	—
1155	C₂×#117	—	67	1	no	—
1156	C₂×#117	—	67	1	no	—
1157	C₂×#117	—	67	1	no	—
1158	C₂×#117	—	67	1	no	—
1159	C₂×#117	—	67	1	no	—
1160	C₂×#117	—	67	1	no	—
1161	C₂×#117	—	67	1	no	—
1162	C₂×#117	C₂×D₆₇	1	1	yes	characteristic
1163	C₂×#117	C₂×D₆₇	1	1	yes	characteristic, complemented
1164	C₂²×C₄⋊C₄	—	67	1	no	—
1165	C₂²×C₄⋊C₄	—	67	1	no	—
1166	C₂²×C₄⋊C₄	—	67	1	no	—
1167	C₂²×C₂²⋊C₄	—	67	1	no	—
1168	C₂²×C₂²⋊C₄	—	67	1	no	—
1169	C₂²×C₂²⋊C₄	—	67	1	no	—
1170	C₂²×C₄²	C₂×D₆₇	1	1	yes	characteristic, complemented
1171	C₂⁵	—	67	1	no	—
1172	C₂²×Q₈	—	67	1	no	—
1173	C₂²×Q₈	—	67	1	no	—
1174	C₂²×Q₈	—	67	1	no	—
1175	C₂²×Q₈	—	67	1	no	—
1176	C₂²×Q₈	—	67	1	no	—
1177	C₂²×Q₈	C₂²×D₆₇	1	1	yes	characteristic
1178	C₂²×D₄	—	67	1	no	—
1179	C₂²×D₄	—	67	1	no	—
1180	C₂²×D₄	—	67	1	no	—
1181	C₂²×D₄	—	67	1	no	—
1182	C₂²×D₄	—	67	1	no	—
1183	C₂²×D₄	—	67	1	no	—
1184	C₂²×D₄	—	67	1	no	—
1185	C₂²×D₄	—	67	1	no	—
1186	C₂²×D₄	—	67	1	no	—
1187	C₂²×D₄	—	67	1	no	—
1188	C₂²×D₄	—	67	1	no	—
1189	C₂²×D₄	—	67	1	no	—
1190	C₂²×D₄	—	67	1	no	—
1191	C₂²×D₄	—	67	1	no	—
1192	C₂²×D₄	—	67	1	no	—
1193	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1194	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1195	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1196	C₂³×C₄	—	67	1	no	—
1197	C₂³×C₄	—	67	1	no	—
1198	C₂³×C₄	—	67	1	no	—
1199	C₂³×C₄	—	67	1	no	—
1200	C₂³×C₄	—	67	1	no	—
1201	C₂³×C₄	—	67	1	no	—
1202	C₂³×C₄	—	67	1	no	—
1203	C₂³×C₄	—	67	1	no	—
1204	C₂³×C₄	—	67	1	no	—
1205	C₂³×C₄	—	67	1	no	—
1206	C₂³×C₄	—	67	1	no	—
1207	C₂³×C₄	—	67	1	no	—
1208	C₂³×C₄	—	67	1	no	—
1209	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1210	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1211	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1212	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1213	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1214	C₄⋊Q₈	—	67	8	no	—
1215	C₄⋊Q₈	—	67	8	no	—
1216	C₄⋊Q₈	—	67	8	no	—
1217	#127	—	67	8	no	—
1218	#126	—	67	8	no	—
1219	#126	—	67	8	no	—
1220	#126	—	67	8	no	—
1221	#126	—	67	8	no	—
1222	#126	—	67	8	no	—
1223	#126	—	67	8	no	—
1224	#126	—	67	8	no	—
1225	#126	—	67	8	no	—
1226	#126	—	67	8	no	—
1227	#126	—	67	8	no	—
1228	#126	—	67	8	no	—
1229	#126	—	67	8	no	—
1230	#126	—	67	8	no	—
1231	#126	—	67	8	no	—
1232	#126	—	67	8	no	—
1233	#126	—	67	8	no	—
1234	#126	—	67	8	no	—
1235	#126	—	67	8	no	—
1236	#126	C₂²×D₆₇	1	8	yes	—
1237	#126	C₂²×D₆₇	1	8	yes	complemented
1238	#125	—	67	8	no	—
1239	#125	—	67	8	no	—
1240	#125	—	67	8	no	—
1241	#125	—	67	8	no	—
1242	#125	—	67	8	no	—
1243	#125	—	67	8	no	—
1244	#125	—	67	8	no	—
1245	#125	—	67	8	no	—
1246	#125	—	67	8	no	—
1247	#125	—	67	8	no	—
1248	#125	—	67	8	no	—
1249	#125	C₂²×D₆₇	1	8	yes	complemented
1250	#124	—	67	8	no	—
1251	#124	—	67	8	no	—
1252	#124	—	67	8	no	—
1253	#124	—	67	8	no	—
1254	#124	—	67	8	no	—
1255	#124	—	67	8	no	—
1256	#124	—	67	8	no	—
1257	#124	—	67	8	no	—
1258	#124	—	67	8	no	—
1259	#124	—	67	8	no	—
1260	#124	—	67	8	no	—
1261	#124	C₂²×D₆₇	1	8	yes	—
1262	#123	—	67	8	no	—
1263	#123	—	67	8	no	—
1264	#123	—	67	8	no	—
1265	#123	—	67	8	no	—
1266	#123	—	67	8	no	—
1267	#123	—	67	8	no	—
1268	#123	—	67	8	no	—
1269	#123	—	67	8	no	—
1270	#123	—	67	8	no	—
1271	#123	—	67	8	no	—
1272	#123	—	67	8	no	—
1273	#123	—	67	8	no	—
1274	#123	—	67	8	no	—
1275	#123	—	67	8	no	—
1276	#123	—	67	8	no	—
1277	#123	—	67	8	no	—
1278	#123	—	67	8	no	—
1279	#123	—	67	8	no	—
1280	#123	—	67	8	no	—
1281	#123	—	67	8	no	—
1282	#123	—	67	8	no	—
1283	#123	—	67	8	no	—
1284	#123	C₂²×D₆₇	1	8	yes	—
1285	#123	C₂²×D₆₇	1	8	yes	complemented
1286	C₂²⋊Q₈	—	67	8	no	—
1287	C₂²⋊Q₈	—	67	8	no	—
1288	C₂²⋊Q₈	—	67	8	no	—
1289	C₂²⋊Q₈	—	67	8	no	—
1290	C₂²⋊Q₈	—	67	8	no	—
1291	C₂²⋊Q₈	—	67	8	no	—
1292	C₂²⋊Q₈	—	67	8	no	—
1293	C₂²⋊Q₈	—	67	8	no	—
1294	C₂²⋊Q₈	—	67	8	no	—
1295	C₂²⋊Q₈	—	67	8	no	—
1296	C₂²⋊Q₈	—	67	8	no	—
1297	C₂²⋊Q₈	—	67	8	no	—
1298	C₂²⋊Q₈	—	67	8	no	—
1299	C₂²⋊Q₈	—	67	8	no	—
1300	C₂²⋊Q₈	—	67	8	no	—
1301	C₂²⋊Q₈	—	67	8	no	—
1302	C₂²⋊Q₈	—	67	8	no	—
1303	C₂²⋊Q₈	C₂²×D₆₇	1	8	yes	complemented
1304	#121	—	67	8	no	—
1305	#121	—	67	8	no	—
1306	#121	—	67	8	no	—
1307	#121	—	67	8	no	—
1308	#121	—	67	8	no	—
1309	#121	—	67	8	no	—
1310	#121	—	67	8	no	—
1311	#121	—	67	8	no	—
1312	#121	—	67	8	no	—
1313	#121	—	67	8	no	—
1314	#121	—	67	8	no	—
1315	#121	—	67	8	no	—
1316	#121	—	67	8	no	—
1317	#121	—	67	8	no	—
1318	#121	—	67	8	no	—
1319	#121	—	67	8	no	—
1320	#121	—	67	8	no	—
1321	#121	C₂²×D₆₇	1	8	yes	—
1322	#120	—	67	8	no	—
1323	#120	—	67	8	no	—
1324	#120	—	67	8	no	—
1325	#120	—	67	8	no	—
1326	C₄×Q₈	—	67	8	no	—
1327	C₄×Q₈	—	67	8	no	—
1328	C₄×Q₈	—	67	8	no	—
1329	C₄×Q₈	—	67	8	no	—
1330	C₄×Q₈	—	67	8	no	—
1331	C₄×Q₈	C₂²×D₆₇	1	8	yes	complemented
1332	C₄×D₄	—	67	8	no	—
1333	C₄×D₄	—	67	8	no	—
1334	C₄×D₄	—	67	8	no	—
1335	C₄×D₄	—	67	8	no	—
1336	C₄×D₄	—	67	8	no	—
1337	C₄×D₄	—	67	8	no	—
1338	C₄×D₄	—	67	8	no	—
1339	C₄×D₄	—	67	8	no	—
1340	C₄×D₄	—	67	8	no	—
1341	C₄×D₄	—	67	8	no	—
1342	C₄×D₄	—	67	8	no	—
1343	C₄×D₄	—	67	8	no	—
1344	C₄×D₄	—	67	8	no	—
1345	C₄×D₄	—	67	8	no	—
1346	C₄×D₄	—	67	8	no	—
1347	C₄×D₄	C₂²×D₆₇	1	8	yes	—
1348	C₄×D₄	C₂²×D₆₇	1	8	yes	—
1349	C₄×D₄	C₂²×D₆₇	1	8	yes	complemented
1350	#117	—	67	8	no	—
1351	#117	—	67	8	no	—
1352	#117	—	67	8	no	—
1353	#117	—	67	8	no	—
1354	#117	—	67	8	no	—
1355	#117	—	67	8	no	—
1356	#117	—	67	8	no	—
1357	#117	—	67	8	no	—
1358	#117	—	67	8	no	—
1359	#117	—	67	8	no	—
1360	#117	C₂²×D₆₇	1	8	yes	—
1361	#117	C₂²×D₆₇	1	8	yes	complemented
1362	C₂×C₄⋊C₄	—	67	1	no	—
1363	C₂×C₄⋊C₄	—	67	1	no	—
1364	C₂×C₄⋊C₄	—	67	1	no	—
1365	C₂×C₄⋊C₄	—	67	1	no	—
1366	C₂×C₄⋊C₄	—	67	1	no	—
1367	C₂×C₄⋊C₄	—	67	1	no	—
1368	C₂×C₄⋊C₄	—	67	1	no	—
1369	C₂×C₄⋊C₄	—	67	1	no	—
1370	C₂×C₄⋊C₄	—	67	1	no	—
1371	C₂×C₄⋊C₄	—	67	1	no	—
1372	C₂×C₄⋊C₄	—	67	8	no	—
1373	C₂×C₄⋊C₄	—	67	1	no	—
1374	C₂×C₄⋊C₄	—	67	1	no	—
1375	C₂×C₄⋊C₄	—	67	1	no	—
1376	C₂×C₄⋊C₄	—	67	1	no	—
1377	C₂×C₄⋊C₄	—	67	1	no	—
1378	C₂×C₄⋊C₄	—	67	1	no	—
1379	C₂×C₄⋊C₄	—	67	1	no	—
1380	C₂×C₄⋊C₄	—	67	1	no	—
1381	C₂×C₄⋊C₄	—	67	1	no	—
1382	C₂×C₄⋊C₄	—	67	1	no	—
1383	C₂×C₄⋊C₄	—	67	1	no	—
1384	C₂×C₄⋊C₄	—	67	1	no	—
1385	C₂×C₄⋊C₄	—	67	1	no	—
1386	C₂×C₄⋊C₄	—	67	1	no	—
1387	C₂×C₄⋊C₄	—	67	1	no	—
1388	C₂×C₄⋊C₄	—	67	1	no	—
1389	C₂×C₄⋊C₄	—	67	1	no	—
1390	C₂×C₄⋊C₄	—	67	1	no	—
1391	C₂×C₄⋊C₄	—	67	1	no	—
1392	C₂×C₄⋊C₄	—	67	1	no	—
1393	C₂×C₄⋊C₄	—	67	1	no	—
1394	C₂×C₄⋊C₄	—	67	1	no	—
1395	C₂×C₄⋊C₄	—	67	1	no	—
1396	C₂×C₄⋊C₄	—	67	1	no	—
1397	C₂×C₄⋊C₄	—	67	1	no	—
1398	C₂×C₄⋊C₄	—	67	1	no	—
1399	C₂×C₄⋊C₄	—	67	1	no	—
1400	C₂×C₄⋊C₄	—	67	1	no	—
1401	C₂×C₄⋊C₄	—	67	8	no	—
1402	C₂×C₄⋊C₄	—	67	8	no	—
1403	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1404	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1405	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1406	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1407	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1408	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1409	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1410	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1411	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1412	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1413	C₂×C₂²⋊C₄	—	67	1	no	—
1414	C₂×C₂²⋊C₄	—	67	1	no	—
1415	C₂×C₂²⋊C₄	—	67	1	no	—
1416	C₂×C₂²⋊C₄	—	67	1	no	—
1417	C₂×C₂²⋊C₄	—	67	1	no	—
1418	C₂×C₂²⋊C₄	—	67	1	no	—
1419	C₂×C₂²⋊C₄	—	67	1	no	—
1420	C₂×C₂²⋊C₄	—	67	1	no	—
1421	C₂×C₂²⋊C₄	—	67	1	no	—
1422	C₂×C₂²⋊C₄	—	67	1	no	—
1423	C₂×C₂²⋊C₄	—	67	1	no	—
1424	C₂×C₂²⋊C₄	—	67	1	no	—
1425	C₂×C₂²⋊C₄	—	67	1	no	—
1426	C₂×C₂²⋊C₄	—	67	1	no	—
1427	C₂×C₂²⋊C₄	—	67	1	no	—
1428	C₂×C₂²⋊C₄	—	67	1	no	—
1429	C₂×C₂²⋊C₄	—	67	1	no	—
1430	C₂×C₂²⋊C₄	—	67	1	no	—
1431	C₂×C₂²⋊C₄	—	67	8	no	—
1432	C₂×C₂²⋊C₄	—	67	1	no	—
1433	C₂×C₂²⋊C₄	—	67	1	no	—
1434	C₂×C₂²⋊C₄	—	67	1	no	—
1435	C₂×C₂²⋊C₄	—	67	1	no	—
1436	C₂×C₂²⋊C₄	—	67	1	no	—
1437	C₂×C₂²⋊C₄	—	67	1	no	—
1438	C₂×C₂²⋊C₄	—	67	1	no	—
1439	C₂×C₂²⋊C₄	—	67	1	no	—
1440	C₂×C₂²⋊C₄	—	67	1	no	—
1441	C₂×C₂²⋊C₄	—	67	1	no	—
1442	C₂×C₂²⋊C₄	—	67	1	no	—
1443	C₂×C₂²⋊C₄	—	67	1	no	—
1444	C₂×C₂²⋊C₄	—	67	1	no	—
1445	C₂×C₂²⋊C₄	—	67	1	no	—
1446	C₂×C₂²⋊C₄	—	67	1	no	—
1447	C₂×C₂²⋊C₄	—	67	1	no	—
1448	C₂×C₂²⋊C₄	—	67	1	no	—
1449	C₂×C₂²⋊C₄	—	67	1	no	—
1450	C₂×C₂²⋊C₄	—	67	1	no	—
1451	C₂×C₂²⋊C₄	—	67	1	no	—
1452	C₂×C₂²⋊C₄	—	67	8	no	—
1453	C₂×C₂²⋊C₄	—	67	8	no	—
1454	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1455	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1456	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1457	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1458	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1459	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1460	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1461	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1462	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1463	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1464	C₂×C₄²	—	67	1	no	—
1465	C₂×C₄²	—	67	1	no	—
1466	C₂×C₄²	—	67	1	no	—
1467	C₂×C₄²	—	67	1	no	—
1468	C₂×C₄²	—	67	1	no	—
1469	C₂×C₄²	—	67	1	no	—
1470	C₂×C₄²	—	67	1	no	—
1471	C₂×C₄²	—	67	1	no	—
1472	C₂×C₄²	—	67	1	no	—
1473	C₂×C₄²	—	67	1	no	—
1474	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
1475	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
1476	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
1477	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
1478	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
1479	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
1480	C₂×C₄²	C₂²×D₆₇	1	8	yes	complemented
1481	C₂⁴	—	268	2	no	—
1482	C₂⁴	—	268	2	no	—
1483	C₂⁴	—	268	2	no	—
1484	C₂⁴	—	67	4	no	—
1485	C₂⁴	—	67	1	no	—
1486	C₂⁴	—	67	1	no	—
1487	C₂⁴	—	67	1	no	—
1488	C₂⁴	—	67	1	no	—
1489	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1490	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1491	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1492	C₂×Q₈	—	4	2	no	—
1493	C₂×Q₈	—	268	2	no	—
1494	C₂×Q₈	—	268	2	no	—
1495	C₂×Q₈	—	268	2	no	—
1496	C₂×Q₈	—	268	2	no	—
1497	C₂×Q₈	—	268	2	no	—
1498	C₂×Q₈	—	67	4	no	—
1499	C₂×Q₈	—	67	4	no	—
1500	C₂×Q₈	—	67	4	no	—
1501	C₂×Q₈	—	67	4	no	—
1502	C₂×Q₈	—	67	4	no	—
1503	C₂×Q₈	C₂³×D₆₇	1	4	yes	—
1504	C₂×D₄	—	4	2	no	—
1505	C₂×D₄	—	4	2	no	—
1506	C₂×D₄	—	4	2	no	—
1507	C₂×D₄	—	268	2	no	—
1508	C₂×D₄	—	268	2	no	—
1509	C₂×D₄	—	268	2	no	—
1510	C₂×D₄	—	268	2	no	—
1511	C₂×D₄	—	268	2	no	—
1512	C₂×D₄	—	268	2	no	—
1513	C₂×D₄	—	268	2	no	—
1514	C₂×D₄	—	268	2	no	—
1515	C₂×D₄	—	268	2	no	—
1516	C₂×D₄	—	268	2	no	—
1517	C₂×D₄	—	268	2	no	—
1518	C₂×D₄	—	268	2	no	—
1519	C₂×D₄	—	268	2	no	—
1520	C₂×D₄	—	268	2	no	—
1521	C₂×D₄	—	268	2	no	—
1522	C₂×D₄	—	67	4	no	—
1523	C₂×D₄	—	67	4	no	—
1524	C₂×D₄	—	67	4	no	—
1525	C₂×D₄	—	67	4	no	—
1526	C₂×D₄	—	67	4	no	—
1527	C₂×D₄	—	67	4	no	—
1528	C₂×D₄	—	67	4	no	—
1529	C₂×D₄	—	67	4	no	—
1530	C₂×D₄	—	67	4	no	—
1531	C₂×D₄	—	67	4	no	—
1532	C₂×D₄	—	67	4	no	—
1533	C₂×D₄	—	67	4	no	—
1534	C₂×D₄	—	67	4	no	—
1535	C₂×D₄	—	67	4	no	—
1536	C₂×D₄	—	67	4	no	—
1537	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1538	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1539	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1540	C₂²×C₄	—	4	2	no	—
1541	C₂²×C₄	—	4	2	no	—
1542	C₂²×C₄	—	4	2	no	—
1543	C₂²×C₄	—	4	2	no	—
1544	C₂²×C₄	—	4	2	no	—
1545	C₂²×C₄	—	268	2	no	—
1546	C₂²×C₄	—	268	2	no	—
1547	C₂²×C₄	—	268	2	no	—
1548	C₂²×C₄	—	268	2	no	—
1549	C₂²×C₄	—	268	2	no	—
1550	C₂²×C₄	—	268	2	no	—
1551	C₂²×C₄	—	268	2	no	—
1552	C₂²×C₄	—	268	2	no	—
1553	C₂²×C₄	—	268	2	no	—
1554	C₂²×C₄	—	268	2	no	—
1555	C₂²×C₄	—	268	2	no	—
1556	C₂²×C₄	—	268	2	no	—
1557	C₂²×C₄	—	268	2	no	—
1558	C₂²×C₄	—	67	4	no	—
1559	C₂²×C₄	—	67	4	no	—
1560	C₂²×C₄	—	67	4	no	—
1561	C₂²×C₄	—	67	4	no	—
1562	C₂²×C₄	—	67	4	no	—
1563	C₂²×C₄	—	67	4	no	—
1564	C₂²×C₄	—	67	4	no	—
1565	C₂²×C₄	—	67	4	no	—
1566	C₂²×C₄	—	67	4	no	—
1567	C₂²×C₄	—	67	4	no	—
1568	C₂²×C₄	—	67	4	no	—
1569	C₂²×C₄	—	67	4	no	—
1570	C₂²×C₄	—	67	4	no	—
1571	C₂²×C₄	—	67	1	no	—
1572	C₂²×C₄	—	67	1	no	—
1573	C₂²×C₄	—	67	1	no	—
1574	C₂²×C₄	—	67	1	no	—
1575	C₂²×C₄	—	67	1	no	—
1576	C₂²×C₄	—	67	1	no	—
1577	C₂²×C₄	—	67	1	no	—
1578	C₂²×C₄	—	67	1	no	—
1579	C₂²×C₄	—	67	1	no	—
1580	C₂²×C₄	—	67	1	no	—
1581	C₂²×C₄	—	67	1	no	—
1582	C₂²×C₄	—	67	1	no	—
1583	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1584	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1585	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1586	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1587	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1588	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1589	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1590	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1591	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1592	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1593	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1594	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1595	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1596	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1597	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1598	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1599	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1600	C₄⋊C₄	—	67	4	no	—
1601	C₄⋊C₄	—	67	4	no	—
1602	C₄⋊C₄	—	67	4	no	—
1603	C₄⋊C₄	—	67	4	no	—
1604	C₄⋊C₄	—	67	4	no	—
1605	C₄⋊C₄	—	67	4	no	—
1606	C₄⋊C₄	—	67	4	no	—
1607	C₄⋊C₄	—	67	4	no	—
1608	C₄⋊C₄	—	67	4	no	—
1609	C₄⋊C₄	—	67	4	no	—
1610	C₄⋊C₄	—	67	4	no	—
1611	C₄⋊C₄	—	67	4	no	—
1612	C₄⋊C₄	—	67	4	no	—
1613	C₄⋊C₄	—	67	4	no	—
1614	C₄⋊C₄	—	67	4	no	—
1615	C₄⋊C₄	—	67	4	no	—
1616	C₄⋊C₄	—	67	4	no	—
1617	C₄⋊C₄	—	67	4	no	—
1618	C₄⋊C₄	—	67	4	no	—
1619	C₄⋊C₄	—	67	4	no	—
1620	C₄⋊C₄	—	67	4	no	—
1621	C₄⋊C₄	—	67	4	no	—
1622	C₄⋊C₄	—	67	4	no	—
1623	C₄⋊C₄	—	67	4	no	—
1624	C₄⋊C₄	—	67	4	no	—
1625	C₄⋊C₄	—	67	4	no	—
1626	C₄⋊C₄	—	67	4	no	—
1627	C₄⋊C₄	—	67	4	no	—
1628	C₄⋊C₄	—	67	4	no	—
1629	C₄⋊C₄	—	67	4	no	—
1630	C₄⋊C₄	—	67	4	no	—
1631	C₄⋊C₄	—	67	4	no	—
1632	C₄⋊C₄	—	67	4	no	—
1633	C₄⋊C₄	—	67	4	no	—
1634	C₄⋊C₄	—	67	4	no	—
1635	C₄⋊C₄	—	67	4	no	—
1636	C₄⋊C₄	—	67	4	no	—
1637	C₄⋊C₄	—	67	4	no	—
1638	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1639	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1640	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1641	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1642	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1643	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1644	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1645	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1646	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1647	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1648	C₂²⋊C₄	—	67	4	no	—
1649	C₂²⋊C₄	—	67	4	no	—
1650	C₂²⋊C₄	—	67	4	no	—
1651	C₂²⋊C₄	—	67	4	no	—
1652	C₂²⋊C₄	—	67	4	no	—
1653	C₂²⋊C₄	—	67	4	no	—
1654	C₂²⋊C₄	—	67	4	no	—
1655	C₂²⋊C₄	—	67	4	no	—
1656	C₂²⋊C₄	—	67	4	no	—
1657	C₂²⋊C₄	—	67	4	no	—
1658	C₂²⋊C₄	—	67	4	no	—
1659	C₂²⋊C₄	—	67	4	no	—
1660	C₂²⋊C₄	—	67	4	no	—
1661	C₂²⋊C₄	—	67	4	no	—
1662	C₂²⋊C₄	—	67	4	no	—
1663	C₂²⋊C₄	—	67	4	no	—
1664	C₂²⋊C₄	—	67	4	no	—
1665	C₂²⋊C₄	—	67	4	no	—
1666	C₂²⋊C₄	—	67	4	no	—
1667	C₂²⋊C₄	—	67	4	no	—
1668	C₂²⋊C₄	—	67	4	no	—
1669	C₂²⋊C₄	—	67	4	no	—
1670	C₂²⋊C₄	—	67	4	no	—
1671	C₂²⋊C₄	—	67	4	no	—
1672	C₂²⋊C₄	—	67	4	no	—
1673	C₂²⋊C₄	—	67	4	no	—
1674	C₂²⋊C₄	—	67	4	no	—
1675	C₂²⋊C₄	—	67	4	no	—
1676	C₂²⋊C₄	—	67	4	no	—
1677	C₂²⋊C₄	—	67	4	no	—
1678	C₂²⋊C₄	—	67	4	no	—
1679	C₂²⋊C₄	—	67	4	no	—
1680	C₂²⋊C₄	—	67	4	no	—
1681	C₂²⋊C₄	—	67	4	no	—
1682	C₂²⋊C₄	—	67	4	no	—
1683	C₂²⋊C₄	—	67	4	no	—
1684	C₂²⋊C₄	—	67	4	no	—
1685	C₂²⋊C₄	—	67	4	no	—
1686	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1687	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1688	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1689	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1690	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1691	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1692	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1693	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1694	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1695	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1696	C₄²	—	67	4	no	—
1697	C₄²	—	67	4	no	—
1698	C₄²	—	67	4	no	—
1699	C₄²	—	67	4	no	—
1700	C₄²	—	67	4	no	—
1701	C₄²	—	67	4	no	—
1702	C₄²	—	67	4	no	—
1703	C₄²	—	67	4	no	—
1704	C₄²	—	67	4	no	—
1705	C₄²	—	67	4	no	—
1706	C₄²	C₂³×D₆₇	1	4	yes	—
1707	C₄²	C₂³×D₆₇	1	4	yes	—
1708	C₄²	C₂³×D₆₇	1	4	yes	—
1709	C₄²	C₂³×D₆₇	1	4	yes	—
1710	C₄²	C₂³×D₆₇	1	4	yes	—
1711	C₄²	C₂³×D₆₇	1	4	yes	—
1712	C₂³	—	2	2	no	—
1713	C₂³	—	2	2	no	—
1714	C₂³	—	2	2	no	—
1715	C₂³	—	2	2	no	—
1716	C₂³	—	2	2	no	—
1717	C₂³	—	2	2	no	—
1718	C₂³	—	2	2	no	—
1719	C₂³	—	2	2	no	—
1720	C₂³	—	2	2	no	—
1721	C₂³	—	268	4	no	—
1722	C₂³	—	268	4	no	—
1723	C₂³	—	268	4	no	—
1724	C₂³	—	536	8	no	—
1725	C₂³	—	67	2	no	—
1726	C₂³	—	67	2	no	—
1727	C₂³	—	67	2	no	—
1728	C₂³	—	67	2	no	—
1729	C₂³	—	134	2	no	—
1730	C₂³	—	134	2	no	—
1731	C₂³	—	134	2	no	—
1732	C₂³	—	134	2	no	—
1733	C₂³	—	134	2	no	—
1734	C₂³	—	134	2	no	—
1735	C₂³	—	134	2	no	—
1736	C₂³	—	134	2	no	—
1737	C₂³	—	134	2	no	—
1738	C₂³	—	134	2	no	—
1739	C₂³	—	134	2	no	—
1740	C₂³	—	134	2	no	—
1741	C₂³	C₂⁴×D₆₇	1	2	yes	—
1742	C₂³	C₂⁴×D₆₇	1	2	yes	—
1743	C₂³	C₂⁴×D₆₇	1	2	yes	—
1744	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
1745	Q₈	—	4	4	no	—
1746	Q₈	—	268	4	no	—
1747	Q₈	—	268	4	no	—
1748	Q₈	—	268	4	no	—
1749	Q₈	—	268	4	no	—
1750	Q₈	—	268	4	no	—
1751	D₄	—	4	4	no	—
1752	D₄	—	4	4	no	—
1753	D₄	—	4	4	no	—
1754	D₄	—	268	4	no	—
1755	D₄	—	268	4	no	—
1756	D₄	—	268	4	no	—
1757	D₄	—	268	4	no	—
1758	D₄	—	268	4	no	—
1759	D₄	—	268	4	no	—
1760	D₄	—	268	4	no	—
1761	D₄	—	268	4	no	—
1762	D₄	—	268	4	no	—
1763	D₄	—	268	4	no	—
1764	D₄	—	268	4	no	—
1765	D₄	—	268	4	no	—
1766	D₄	—	268	4	no	—
1767	D₄	—	268	4	no	—
1768	D₄	—	268	4	no	—
1769	C₂×C₄	—	2	2	no	—
1770	C₂×C₄	—	2	2	no	—
1771	C₂×C₄	—	2	2	no	—
1772	C₂×C₄	—	2	2	no	—
1773	C₂×C₄	—	2	2	no	—
1774	C₂×C₄	—	2	2	no	—
1775	C₂×C₄	—	2	2	no	—
1776	C₂×C₄	—	2	2	no	—
1777	C₂×C₄	—	2	2	no	—
1778	C₂×C₄	—	2	2	no	—
1779	C₂×C₄	—	2	2	no	—
1780	C₂×C₄	—	2	2	no	—
1781	C₂×C₄	—	4	4	no	—
1782	C₂×C₄	—	4	4	no	—
1783	C₂×C₄	—	4	4	no	—
1784	C₂×C₄	—	4	4	no	—
1785	C₂×C₄	—	4	4	no	—
1786	C₂×C₄	—	268	4	no	—
1787	C₂×C₄	—	268	4	no	—
1788	C₂×C₄	—	268	4	no	—
1789	C₂×C₄	—	268	4	no	—
1790	C₂×C₄	—	268	4	no	—
1791	C₂×C₄	—	268	4	no	—
1792	C₂×C₄	—	268	4	no	—
1793	C₂×C₄	—	268	4	no	—
1794	C₂×C₄	—	268	4	no	—
1795	C₂×C₄	—	268	4	no	—
1796	C₂×C₄	—	268	4	no	—
1797	C₂×C₄	—	268	4	no	—
1798	C₂×C₄	—	268	4	no	—
1799	C₂×C₄	—	67	2	no	—
1800	C₂×C₄	—	67	2	no	—
1801	C₂×C₄	—	67	2	no	—
1802	C₂×C₄	—	67	2	no	—
1803	C₂×C₄	—	67	2	no	—
1804	C₂×C₄	—	67	2	no	—
1805	C₂×C₄	—	67	2	no	—
1806	C₂×C₄	—	67	2	no	—
1807	C₂×C₄	—	67	2	no	—
1808	C₂×C₄	—	67	2	no	—
1809	C₂×C₄	—	67	2	no	—
1810	C₂×C₄	—	67	2	no	—
1811	C₂×C₄	—	134	2	no	—
1812	C₂×C₄	—	134	2	no	—
1813	C₂×C₄	—	134	2	no	—
1814	C₂×C₄	—	134	2	no	—
1815	C₂×C₄	—	134	2	no	—
1816	C₂×C₄	—	134	2	no	—
1817	C₂×C₄	—	134	2	no	—
1818	C₂×C₄	—	134	2	no	—
1819	C₂×C₄	—	134	2	no	—
1820	C₂×C₄	—	134	2	no	—
1821	C₂×C₄	—	134	2	no	—
1822	C₂×C₄	—	134	2	no	—
1823	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1824	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1825	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1826	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1827	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1828	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1829	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1830	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1831	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1832	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1833	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1834	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1835	C₂²	—	2	2	no	—
1836	C₂²	—	2	2	no	—
1837	C₂²	—	2	2	no	—
1838	C₂²	—	2	2	no	—
1839	C₂²	—	2	2	no	—
1840	C₂²	—	2	2	no	—
1841	C₂²	—	2	2	no	—
1842	C₂²	—	2	2	no	—
1843	C₂²	—	2	2	no	—
1844	C₂²	—	4	4	no	—
1845	C₂²	—	4	4	no	—
1846	C₂²	—	4	4	no	—
1847	C₂²	—	268	4	no	—
1848	C₂²	—	268	4	no	—
1849	C₂²	—	268	4	no	—
1850	C₂²	—	268	4	no	—
1851	C₂²	—	536	8	no	—
1852	C₂²	—	134	2	no	—
1853	C₂²	—	134	2	no	—
1854	C₂²	—	134	2	no	—
1855	C₂²	—	134	2	no	—
1856	C₂²	—	134	2	no	—
1857	C₂²	—	134	2	no	—
1858	C₂²	—	134	2	no	—
1859	C₂²	—	134	2	no	—
1860	C₂²	—	134	2	no	—
1861	C₂²	—	134	2	no	—
1862	C₂²	—	134	2	no	—
1863	C₂²	—	134	2	no	—
1864	C₂²	#16864232	1	2	yes	—
1865	C₂²	#16864232	1	2	yes	—
1866	C₂²	#16864232	1	2	yes	—
1867	C₂²	C₂⁵×D₆₇	1	1	yes	characteristic
1868	C₄	—	2	2	no	—
1869	C₄	—	2	2	no	—
1870	C₄	—	2	2	no	—
1871	C₄	—	2	2	no	—
1872	C₄	—	2	2	no	—
1873	C₄	—	2	2	no	—
1874	C₄	—	2	2	no	—
1875	C₄	—	2	2	no	—
1876	C₄	—	2	2	no	—
1877	C₄	—	2	2	no	—
1878	C₄	—	2	2	no	—
1879	C₄	—	2	2	no	—
1880	C₄	—	134	2	no	—
1881	C₄	—	134	2	no	—
1882	C₄	—	134	2	no	—
1883	C₄	—	134	2	no	—
1884	C₄	—	134	2	no	—
1885	C₄	—	134	2	no	—
1886	C₄	—	134	2	no	—
1887	C₄	—	134	2	no	—
1888	C₄	—	134	2	no	—
1889	C₄	—	134	2	no	—
1890	C₄	—	134	2	no	—
1891	C₄	—	134	2	no	—
1892	C₂	—	4	2	no	—
1893	C₂	—	4	2	no	—
1894	C₂	—	4	2	no	—
1895	C₂	—	268	2	no	—
1896	C₂	—	268	2	no	—
1897	C₂	—	268	2	no	—
1898	C₂	—	268	2	no	—
1899	C₂	#22574885	1	4	yes	direct product factor
1900	C₂	C₂×#16864232	1	1	yes	characteristic
1901	C₂	C₂×#16864232	1	1	yes	characteristic
1902	C₂	C₂×#16864232	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₆₇
commutator, cosocle	C₂²×C₆₇	C₂⁶
Frattini	C₂²	C₂⁵×D₆₇
Fitting	C₂×#529×C₆₇	C₂
socle	C₂³×C₆₇	C₂⁵
hypercenter	C₂×#529	D₆₇
hypocenter	C₆₇	C₂×#3566
LCS	G ▷ C₂²×C₆₇ ▷ C₆₇
UCS	C₁ ◁ C₂³ ◁ C₂×#529

Complements

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

N	H ≅ G/N	type
1. #22574885	C₂	direct (N × H)
2. C₂×#16864149	C₂	semidirect
3. C₂×#16864143	C₂	semidirect
4. C₂×#16864143	C₂	semidirect
5. C₂×#16864136	C₂	semidirect
6. C₂×#16864129	C₂	semidirect
7. C₂×#16864113	C₂	semidirect
8. C₂×#16864109	C₂	semidirect
9. C₂×#16864097	C₂	semidirect
10. C₂×#16864096	C₂	semidirect
11. C₂×#16864095	C₂	semidirect
12. C₂×#16864085	C₂	semidirect
13. C₂×#16864082	C₂	semidirect
14. C₂×#16864079	C₂	semidirect
15. C₂×#16864075	C₂	semidirect
16. C₂×#16864071	C₂	semidirect
17. C₂×#16864070	C₂	semidirect
18. C₂×#16864018	C₂	semidirect
19. C₂×#16864016	C₂	semidirect
20. C₂×#16864010	C₂	semidirect
21. C₂×#16864005	C₂	semidirect
22. C₂×#16864004	C₂	semidirect
23. C₂×#16863996	C₂	semidirect
24. C₂×#16863994	C₂	semidirect
25. C₂×#16863992	C₂	semidirect
26. C₂×#16863988	C₂	semidirect
27. C₂×#16863980	C₂	semidirect
28. C₂×#16863979	C₂	semidirect
29. C₂×#16863978	C₂	semidirect
30. C₂×#16863930	C₂	semidirect
31. C₂×#16863930	C₂	semidirect
32. C₂×#529×C₆₇	C₂	semidirect
33. #16864149	C₂²	semidirect
34. #16864143	C₂²	semidirect
35. #16864143	C₂²	semidirect
36. #16864136	C₂²	semidirect
37. #16864129	C₂²	semidirect
38. #16864113	C₂²	semidirect
39. #16864109	C₂²	semidirect
40. #16864097	C₂²	semidirect
41. #16864096	C₂²	semidirect
42. #16864095	C₂²	semidirect
43. #16864085	C₂²	semidirect
44. #16864082	C₂²	semidirect
45. #16864079	C₂²	semidirect
46. #16864075	C₂²	semidirect
47. #16864071	C₂²	semidirect
48. #16864070	C₂²	semidirect
49. #16864018	C₂²	semidirect
50. #16864016	C₂²	semidirect
51. #16864010	C₂²	semidirect
52. #16864005	C₂²	semidirect
53. #16864004	C₂²	semidirect
54. #16863996	C₂²	semidirect
55. #16863994	C₂²	semidirect
56. #16863992	C₂²	semidirect
57. #16863988	C₂²	semidirect
58. #16863980	C₂²	semidirect
59. #16863979	C₂²	semidirect
60. #16863978	C₂²	semidirect
61. C₂×#14524042	C₂²	semidirect
62. C₂×#14524042	C₂²	semidirect
63. C₂×#14524041	C₂²	semidirect
65. #16863930	C₂²	semidirect
66. #16863930	C₂²	semidirect
77. C₂×#14524037	C₂²	semidirect
78. C₂×#14524037	C₂²	semidirect
82. C₂×#14524036	C₂²	semidirect
83. C₂×#14524036	C₂²	semidirect
84. C₂×#14524036	C₂²	semidirect
85. C₂×#14524035	C₂²	semidirect
86. C₂×#14524035	C₂²	semidirect
87. C₂×#14524035	C₂²	semidirect
88. C₂×#14524034	C₂²	semidirect
89. C₂×#14524034	C₂²	semidirect
90. C₂×#14524033	C₂²	semidirect
91. C₂×#14524033	C₂²	semidirect
92. C₂×#14524033	C₂²	semidirect
93. C₂×#14524033	C₂²	semidirect
94. C₂×#14524033	C₂²	semidirect
95. C₂×#14524033	C₂²	semidirect
99. C₂×#14524031	C₂²	semidirect
105. C₂×#14524029	C₂²	semidirect
106. C₂×#14524029	C₂²	semidirect
112. C₂×#14524028	C₂²	semidirect
114. C₂×#14524027	C₂²	semidirect
119. C₂×#14524026	C₂²	semidirect
120. C₂×#14524026	C₂²	semidirect
126. C₂×#14524025	C₂²	semidirect
130. C₂×#14524023	C₂²	semidirect
132. C₂×#14524022	C₂²	semidirect
133. C₂×#14524022	C₂²	semidirect
138. C₂×#14524021	C₂²	semidirect
139. C₂×#14524021	C₂²	semidirect
142. C₂×#14524020	C₂²	semidirect
143. C₂×#14524020	C₂²	semidirect
145. C₂×#14524019	C₂²	semidirect
156. C₂×#14524016	C₂²	semidirect
160. C₂×#14524015	C₂²	semidirect
162. C₂×#14524014	C₂²	semidirect
167. C₂×C₄×Dic₁₃₄	C₂²	semidirect
168. C₂×C₄×Dic₁₃₄	C₂²	semidirect
169. C₂×C₄×Dic₁₃₄	C₂²	semidirect
170. C₂×#14524008	C₂²	semidirect
171. C₂×#14524008	C₂²	semidirect
176. C₂×#14524005	C₂²	semidirect
180. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
181. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
182. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
186. C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	semidirect
188. C₂×#14524001	C₂²	semidirect
192. C₂×#14524000	C₂²	semidirect
193. C₂×#14524000	C₂²	semidirect
194. C₂×#14524000	C₂²	semidirect
196. C₂×#14523999	C₂²	semidirect
197. C₂²×Dic₆₇⋊C₄	C₂²	semidirect
198. C₂×C₄⋊C₄×D₆₇	C₂²	semidirect
199. C₂×C₄⋊C₄×D₆₇	C₂²	semidirect
203. #529×C₆₇	C₂²	semidirect
205. C₂×#126×C₆₇	C₂²	semidirect
206. C₂×#125×C₆₇	C₂²	semidirect
209. C₂×#123×C₆₇	C₂²	semidirect
210. C₂×C₂²⋊Q₈×C₆₇	C₂²	semidirect
212. C₂×C₄×Q₈×C₆₇	C₂²	semidirect
215. C₂×C₄×D₄×C₆₇	C₂²	semidirect
217. C₂×#117×C₆₇	C₂²	semidirect
218. C₂²×C₄²×C₆₇	C₂²	semidirect
253. #14524042	C₂³	semidirect
254. #14524042	C₂³	semidirect
255. #14524041	C₂³	semidirect
267. #14524037	C₂³	semidirect
268. #14524037	C₂³	semidirect
272. #14524036	C₂³	semidirect
273. #14524036	C₂³	semidirect
274. #14524036	C₂³	semidirect
275. #14524035	C₂³	semidirect
276. #14524035	C₂³	semidirect
277. #14524035	C₂³	semidirect
278. #14524034	C₂³	semidirect
279. #14524034	C₂³	semidirect
280. #14524033	C₂³	semidirect
281. #14524033	C₂³	semidirect
282. #14524033	C₂³	semidirect
283. #14524033	C₂³	semidirect
284. #14524033	C₂³	semidirect
285. #14524033	C₂³	semidirect
289. #14524031	C₂³	semidirect
295. #14524029	C₂³	semidirect
296. #14524029	C₂³	semidirect
302. #14524028	C₂³	semidirect
304. #14524027	C₂³	semidirect
309. #14524026	C₂³	semidirect
310. #14524026	C₂³	semidirect
316. #14524025	C₂³	semidirect
320. #14524023	C₂³	semidirect
322. #14524022	C₂³	semidirect
323. #14524022	C₂³	semidirect
328. #14524021	C₂³	semidirect
329. #14524021	C₂³	semidirect
332. #14524020	C₂³	semidirect
333. #14524020	C₂³	semidirect
335. #14524019	C₂³	semidirect
346. #14524016	C₂³	semidirect
350. #14524015	C₂³	semidirect
352. #14524014	C₂³	semidirect
357. C₄×Dic₁₃₄	C₂³	semidirect
358. C₄×Dic₁₃₄	C₂³	semidirect
359. C₄×Dic₁₃₄	C₂³	semidirect
360. #14524008	C₂³	semidirect
361. #14524008	C₂³	semidirect
366. #14524005	C₂³	semidirect
370. C₄×C₂²⋊D₆₇	C₂³	semidirect
371. C₄×C₂²⋊D₆₇	C₂³	semidirect
372. C₄×C₂²⋊D₆₇	C₂³	semidirect
376. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
378. #14524001	C₂³	semidirect
382. #14524000	C₂³	semidirect
383. #14524000	C₂³	semidirect
384. #14524000	C₂³	semidirect
386. #14523999	C₂³	semidirect
425. C₂×Dic₆₇⋊C₄	C₂³	semidirect
426. C₄⋊C₄×D₆₇	C₂³	semidirect
427. C₄⋊C₄×D₆₇	C₂³	semidirect
489. #126×C₆₇	C₂³	semidirect
490. #125×C₆₇	C₂³	semidirect
493. #123×C₆₇	C₂³	semidirect
494. C₂²⋊Q₈×C₆₇	C₂³	semidirect
496. C₄×Q₈×C₆₇	C₂³	semidirect
499. C₄×D₄×C₆₇	C₂³	semidirect
501. #117×C₆₇	C₂³	semidirect
528. C₂×C₄²×C₆₇	C₂³	semidirect
944. C₂×C₆₇	#3566	semidirect
983. C₂×#529	D₆₇	semidirect
984. C₆₇	C₂×#3566	semidirect
1019. #529	C₂×D₆₇	semidirect
1039. C₂×#126	C₂×D₆₇	semidirect
1051. C₂×#125	C₂×D₆₇	semidirect
1087. C₂×#123	C₂×D₆₇	semidirect
1105. C₂×C₂²⋊Q₈	C₂×D₆₇	semidirect
1133. C₂×C₄×Q₈	C₂×D₆₇	semidirect
1151. C₂×C₄×D₄	C₂×D₆₇	semidirect
1163. C₂×#117	C₂×D₆₇	semidirect
1170. C₂²×C₄²	C₂×D₆₇	semidirect
1237. #126	C₂²×D₆₇	semidirect
1249. #125	C₂²×D₆₇	semidirect
1285. #123	C₂²×D₆₇	semidirect
1303. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1331. C₄×Q₈	C₂²×D₆₇	semidirect
1349. C₄×D₄	C₂²×D₆₇	semidirect
1361. #117	C₂²×D₆₇	semidirect
1480. C₂×C₄²	C₂²×D₆₇	semidirect
1899. C₂	#22574885	direct (N × H)

Maximal subgroups

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

subgroup	index
#22574885	2
C₂×#16864149	2
C₂×#16864143	2
C₂×#16864136	2
C₂×#16864129	2
C₂×#16864113	2
C₂×#16864109	2
C₂×#16864097	2
C₂×#16864096	2
C₂×#16864095	2
C₂×#16864085	2
C₂×#16864082	2
C₂×#16864079	2
C₂×#16864075	2
C₂×#16864071	2
C₂×#16864070	2
C₂×#16864018	2
C₂×#16864016	2
C₂×#16864010	2
C₂×#16864005	2
C₂×#16864004	2
C₂×#16863996	2
C₂×#16863994	2
C₂×#16863992	2
C₂×#16863988	2
C₂×#16863980	2
C₂×#16863979	2
C₂×#16863978	2
C₂×#16863930	2
C₂×#529×C₆₇	2
C₂×#3566	67

Subgroups — C2×#22574885 #31763359

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#22574885 #31763359