Subgroups — C₂×#22574525 #31762964

Order 17152.

8122 conjugacy classes of subgroups.

The subgroup lattice has 1444 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22574525	C₂	1	32	yes	maximal, direct product factor
2	C₂×#16864142	C₂	1	2	yes	maximal, complemented
3	C₂×#16864134	C₂	1	2	yes	maximal, complemented
4	C₂×#16864111	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#16864092	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#16864086	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#16864073	C₂	1	2	yes	maximal, complemented
8	C₂×#16864067	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#16864050	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#16864042	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#16864042	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#16864035	C₂	1	2	yes	maximal, complemented
13	C₂×D₄×D₂₆₈	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#16864017	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#16864001	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#16863998	C₂	1	2	yes	maximal, complemented
17	C₂×#16863982	C₂	1	2	yes	maximal, complemented
18	C₂×#16863974	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#16863961	C₂	1	2	yes	maximal, complemented
20	C₂×#16863960	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#16863956	C₂	1	2	yes	maximal, complemented
22	C₂×#16863907	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂²×#14524017	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#525×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#11761628	C₂²	1	1	yes	characteristic, complemented
26	C₂²×#11761628	C₂²	1	1	yes	characteristic, complemented
27	C₂²×#11761627	C₂²	1	2	yes	complemented
28	C₂³×D₂₆₈	C₂²	1	1	yes	characteristic
29	C₂³×D₂₆₈	C₂²	1	1	yes	characteristic, complemented
30	C₂³×C₂²⋊D₆₇	C₂²	1	2	yes	complemented
31	C₂²×D₄×D₆₇	C₂²	1	2	yes	—
32	#16864142	C₂²	1	32	yes	complemented
33	#16864134	C₂²	1	32	yes	complemented
34	#16864111	C₂²	1	16	yes	complemented
35	#16864092	C₂²	1	16	yes	complemented
36	#16864086	C₂²	1	16	yes	complemented
37	#16864073	C₂²	1	32	yes	complemented
38	#16864067	C₂²	1	16	yes	complemented
39	#16864050	C₂²	1	16	yes	complemented
40	#16864042	C₂²	1	16	yes	complemented
41	#16864042	C₂²	1	16	yes	complemented
42	#16864035	C₂²	1	32	yes	complemented
43	D₄×D₂₆₈	C₂²	1	16	yes	complemented
44	#16864017	C₂²	1	16	yes	complemented
45	#16864001	C₂²	1	16	yes	complemented
46	#16863998	C₂²	1	32	yes	complemented
47	#16863982	C₂²	1	32	yes	complemented
48	#16863974	C₂²	1	16	yes	complemented
49	#16863961	C₂²	1	32	yes	complemented
50	#16863960	C₂²	1	16	yes	complemented
51	#16863956	C₂²	1	32	yes	complemented
52	C₂×#14524043	C₂²	1	1	yes	characteristic, complemented
53	C₂×#14524040	C₂²	1	1	yes	characteristic, complemented
54	C₂×#14524039	C₂²	1	2	yes	complemented
55	C₂×#14524039	C₂²	1	2	yes	complemented
56	C₂×#14524038	C₂²	1	2	yes	complemented
57	C₂×#14524038	C₂²	1	2	yes	complemented
58	C₂×#14524036	C₂²	1	2	yes	complemented
59	C₂×#14524035	C₂²	1	1	yes	characteristic, complemented
60	C₂×#14524033	C₂²	1	2	yes	complemented
61	C₂×#14524032	C₂²	1	2	yes	complemented
62	C₂×#14524031	C₂²	1	1	yes	characteristic, complemented
63	C₂×#14524029	C₂²	1	2	yes	complemented
64	C₂×#14524029	C₂²	1	2	yes	complemented
65	C₂×#14524029	C₂²	1	2	yes	complemented
66	#16863907	C₂²	1	16	yes	complemented
67	C₂×#14524028	C₂²	1	2	yes	complemented
68	C₂×#14524028	C₂²	1	2	yes	complemented
69	C₂×#14524028	C₂²	1	2	yes	complemented
70	C₂×#14524028	C₂²	1	2	yes	complemented
71	C₂×#14524027	C₂²	1	2	yes	complemented
72	C₂×#14524027	C₂²	1	2	yes	complemented
73	C₂×#14524026	C₂²	1	2	yes	complemented
74	C₂×#14524025	C₂²	1	2	yes	complemented
75	C₂×#14524025	C₂²	1	2	yes	complemented
76	C₂×#14524024	C₂²	1	2	yes	—
77	C₂×#14524023	C₂²	1	2	yes	complemented
78	C₂×#14524022	C₂²	1	1	yes	characteristic, complemented
79	C₂×#14524022	C₂²	1	1	yes	characteristic, complemented
80	C₂×#14524022	C₂²	1	1	yes	characteristic, complemented
81	C₂×#14524021	C₂²	1	2	yes	complemented
82	C₂×#14524019	C₂²	1	2	yes	complemented
83	C₂×#14524018	C₂²	1	2	yes	complemented
84	C₂×#14524017	C₂²	1	1	yes	characteristic
85	C₂×#14524017	C₂²	1	1	yes	characteristic
86	C₂×#14524017	C₂²	1	1	yes	characteristic
87	C₂×#14524017	C₂²	1	1	yes	characteristic, complemented
88	C₂×#14524017	C₂²	1	1	yes	characteristic, complemented
89	C₂×#14524017	C₂²	1	1	yes	characteristic, complemented
90	C₂×#14524017	C₂²	1	1	yes	characteristic, complemented
91	C₂×#14524017	C₂²	1	1	yes	characteristic, complemented
92	C₂×#14524017	C₂²	1	1	yes	characteristic, complemented
93	C₂×#14524017	C₂²	1	2	yes	complemented
94	C₂×#14524017	C₂²	1	2	yes	complemented
95	C₂×#14524017	C₂²	1	16	yes	complemented
96	C₂×#14524016	C₂²	1	2	yes	complemented
97	C₂×#14524016	C₂²	1	2	yes	complemented
98	C₂×#14524016	C₂²	1	2	yes	complemented
99	C₂×#14524016	C₂²	1	2	yes	complemented
100	C₂×#14524016	C₂²	1	2	yes	complemented
101	C₂×#14524016	C₂²	1	2	yes	complemented
102	C₂×#14524015	C₂²	1	2	yes	complemented
103	C₂×#14524015	C₂²	1	2	yes	complemented
104	C₂×#14524015	C₂²	1	2	yes	complemented
105	C₂×#14524014	C₂²	1	2	yes	complemented
106	C₂×#14524014	C₂²	1	2	yes	complemented
107	C₂×#14524013	C₂²	1	2	yes	—
108	C₂×#14524013	C₂²	1	2	yes	complemented
109	C₂×#14524012	C₂²	1	2	yes	complemented
110	C₂×#14524011	C₂²	1	2	yes	complemented
111	C₂×#14524011	C₂²	1	2	yes	complemented
112	C₂×#14524011	C₂²	1	2	yes	complemented
113	C₂×#14524011	C₂²	1	2	yes	complemented
114	C₂×C₄×Dic₁₃₄	C₂²	1	1	yes	characteristic, complemented
115	C₂×C₄×D₂₆₈	C₂²	1	1	yes	characteristic, complemented
116	C₂×C₄×D₂₆₈	C₂²	1	1	yes	characteristic, complemented
117	C₂×C₄×D₂₆₈	C₂²	1	1	yes	characteristic, complemented
118	C₂×#14524005	C₂²	1	2	yes	complemented
119	C₂×C₄×C₂²⋊D₆₇	C₂²	1	2	yes	complemented
120	C₂×C₄×C₂²⋊D₆₇	C₂²	1	2	yes	complemented
121	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	2	yes	complemented
122	C₂×#14524002	C₂²	1	1	yes	characteristic, complemented
123	C₂×#14524002	C₂²	1	1	yes	characteristic, complemented
124	C₂×#14524001	C₂²	1	2	yes	complemented
125	C₂×#14523999	C₂²	1	2	yes	complemented
126	C₂²×C₄⋊Dic₆₇	C₂²	1	1	yes	characteristic, complemented
127	C₂²×C₄⋊Dic₆₇	C₂²	1	1	yes	characteristic, complemented
128	C₂²×(C₂×D₆₇)⋊C₄	C₂²	1	2	yes	complemented
129	C₂×C₂²⋊C₄×D₆₇	C₂²	1	2	yes	complemented
130	C₂×C₂²⋊C₄×D₆₇	C₂²	1	2	yes	complemented
131	C₂²×#41×C₆₇	C₂²	1	1	yes	characteristic, complemented
132	C₂⁴×C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
133	#525×C₆₇	C₂²	1	16	yes	complemented
134	C₂×#123×C₆₇	C₂²	1	1	yes	characteristic, complemented
135	C₂×#123×C₆₇	C₂²	1	1	yes	characteristic, complemented
136	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
137	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
138	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic
139	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic, complemented
140	C₂×#120×C₆₇	C₂²	1	1	yes	characteristic
141	C₂×#120×C₆₇	C₂²	1	1	yes	characteristic, complemented
142	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic
143	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
144	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
145	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
146	C₂×#117×C₆₇	C₂²	1	1	yes	characteristic, complemented
147	C₂⁴×D₆₇	C₂³	1	2	yes	—
148	C₂⁴×D₆₇	C₂³	1	2	yes	—
149	C₂×#11761628	—	4	4	no	—
150	C₂×#11761628	—	4	4	no	—
151	C₂×#11761628	C₂³	1	8	yes	complemented
152	C₂×#11761628	C₂³	1	8	yes	complemented
153	C₂×#11761627	—	4	8	no	—
154	C₂×#11761627	C₂³	1	16	yes	complemented
155	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic
156	C₂²×Dic₁₃₄	C₂³	1	2	yes	—
157	C₂²×D₂₆₈	—	4	4	no	—
158	C₂²×D₂₆₈	—	4	4	no	—
159	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
160	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
161	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
162	C₂²×D₂₆₈	C₂³	1	8	yes	—
163	C₂²×D₂₆₈	C₂³	1	2	yes	—
164	C₂²×D₂₆₈	C₂³	1	2	yes	—
165	C₂²×D₂₆₈	C₂³	1	2	yes	—
166	C₂²×D₂₆₈	C₂³	1	2	yes	—
167	C₂²×D₂₆₈	C₂³	1	8	yes	complemented
168	C₂²×C₂²⋊D₆₇	—	4	8	no	—
169	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
170	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
171	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
172	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
173	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
174	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
175	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
176	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
177	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
178	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
179	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
180	C₂²×C₂²⋊D₆₇	C₂³	1	16	yes	complemented
181	C₂×D₄×D₆₇	—	4	8	no	—
182	C₂×D₄×D₆₇	C₂³	1	16	yes	—
183	C₂³×Dic₆₇	C₂³	1	2	yes	—
184	C₂³×Dic₆₇	C₂³	1	2	yes	—
185	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
186	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
187	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
188	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
189	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
190	#14524043	C₂³	1	8	yes	complemented
191	#14524040	C₂³	1	8	yes	complemented
192	#14524039	C₂³	1	16	yes	complemented
193	#14524039	C₂³	1	16	yes	complemented
194	#14524038	C₂³	1	16	yes	complemented
195	#14524038	C₂³	1	16	yes	complemented
196	#14524036	C₂³	1	16	yes	complemented
197	#14524035	C₂³	1	8	yes	complemented
198	#14524033	C₂³	1	16	yes	complemented
199	#14524032	C₂³	1	16	yes	complemented
200	#14524031	C₂³	1	8	yes	complemented
201	#14524029	C₂³	1	16	yes	complemented
202	#14524029	C₂³	1	16	yes	complemented
203	#14524029	C₂³	1	16	yes	complemented
204	#14524028	C₂³	1	16	yes	complemented
205	#14524028	C₂³	1	16	yes	complemented
206	#14524028	C₂³	1	16	yes	complemented
207	#14524028	C₂³	1	16	yes	complemented
208	#14524027	C₂³	1	16	yes	complemented
209	#14524027	C₂³	1	16	yes	complemented
210	#14524026	C₂³	1	16	yes	complemented
211	#14524025	C₂³	1	16	yes	complemented
212	#14524025	C₂³	1	16	yes	complemented
213	#14524024	C₂³	1	16	yes	—
214	#14524023	C₂³	1	16	yes	complemented
215	#14524022	C₂³	1	8	yes	complemented
216	#14524022	C₂³	1	8	yes	complemented
217	#14524022	C₂³	1	8	yes	complemented
218	#14524021	C₂³	1	16	yes	complemented
219	#14524019	C₂³	1	16	yes	complemented
220	#14524018	C₂³	1	16	yes	complemented
221	#14524017	C₂³	1	8	yes	—
222	#14524017	C₂³	1	8	yes	—
223	#14524017	C₂³	1	8	yes	—
224	#14524017	C₂³	1	8	yes	complemented
225	#14524017	C₂³	1	8	yes	complemented
226	#14524017	C₂³	1	8	yes	complemented
227	#14524017	C₂³	1	8	yes	complemented
228	#14524017	C₂³	1	8	yes	complemented
229	#14524017	C₂³	1	8	yes	complemented
230	#14524017	C₂³	1	16	yes	complemented
231	#14524017	C₂³	1	16	yes	complemented
232	#14524016	C₂³	1	16	yes	complemented
233	#14524016	C₂³	1	16	yes	complemented
234	#14524016	C₂³	1	16	yes	complemented
235	#14524016	C₂³	1	16	yes	complemented
236	#14524016	C₂³	1	16	yes	complemented
237	#14524016	C₂³	1	16	yes	complemented
238	#14524015	C₂³	1	16	yes	complemented
239	#14524015	C₂³	1	16	yes	complemented
240	#14524015	C₂³	1	16	yes	complemented
241	#14524014	C₂³	1	16	yes	complemented
242	#14524014	C₂³	1	16	yes	complemented
243	#14524013	C₂³	1	16	yes	—
244	#14524013	C₂³	1	16	yes	complemented
245	#14524012	C₂³	1	16	yes	complemented
246	#14524011	C₂³	1	16	yes	complemented
247	#14524011	C₂³	1	16	yes	complemented
248	#14524011	C₂³	1	16	yes	complemented
249	#14524011	C₂³	1	16	yes	complemented
250	C₄×Dic₁₃₄	C₂³	1	8	yes	complemented
251	C₄×D₂₆₈	C₂³	1	8	yes	complemented
252	C₄×D₂₆₈	C₂³	1	8	yes	complemented
253	C₄×D₂₆₈	C₂³	1	8	yes	complemented
254	#14524005	C₂³	1	16	yes	complemented
255	C₄×C₂²⋊D₆₇	C₂³	1	16	yes	complemented
256	C₄×C₂²⋊D₆₇	C₂³	1	16	yes	complemented
257	(C₂²⋊D₆₇)⋊C₄	C₂³	1	16	yes	complemented
258	#14524002	C₂³	1	8	yes	complemented
259	#14524002	C₂³	1	8	yes	complemented
260	#14524001	C₂³	1	16	yes	complemented
261	#14523999	C₂³	1	16	yes	complemented
262	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
263	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
264	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
265	C₂×C₄⋊Dic₆₇	C₂³	1	2	yes	—
266	C₂×C₄⋊Dic₆₇	C₂³	1	2	yes	—
267	C₂×C₄⋊Dic₆₇	C₂³	1	2	yes	—
268	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
269	C₂×C₄⋊Dic₆₇	C₂³	1	8	yes	complemented
270	C₂×C₄⋊Dic₆₇	C₂³	1	8	yes	complemented
271	C₂×Dic₆₇⋊C₄	C₂³	1	2	yes	—
272	C₂×Dic₆₇⋊C₄	C₂³	1	2	yes	—
273	C₂×Dic₆₇⋊C₄	C₂³	1	2	yes	—
274	C₂×Dic₆₇⋊C₄	C₂³	1	2	yes	—
275	C₂×Dic₆₇⋊C₄	C₂³	1	2	yes	—
276	C₂×Dic₆₇⋊C₄	C₂³	1	2	yes	—
277	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	—
278	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	—
279	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	—
280	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	—
281	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	—
282	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
283	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
284	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
285	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
286	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
287	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
288	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
289	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
290	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
291	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
292	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
293	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
294	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
295	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
296	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	16	yes	complemented
297	C₂²⋊C₄×D₆₇	C₂³	1	16	yes	complemented
298	C₂²⋊C₄×D₆₇	C₂³	1	16	yes	complemented
299	C₂×C₄×Dic₆₇	C₂³	1	2	yes	—
300	C₂×C₄×Dic₆₇	C₂³	1	2	yes	—
301	C₂×C₄×Dic₆₇	C₂³	1	2	yes	—
302	C₂⁵×C₆₇	C₂³	1	1	yes	characteristic
303	C₂×#41×C₆₇	—	4	4	no	—
304	C₂×#41×C₆₇	C₂³	1	8	yes	complemented
305	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic
306	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
307	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
308	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
309	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
310	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
311	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
312	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
313	C₂³×C₄×C₆₇	—	4	4	no	—
314	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
315	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
316	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
317	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
318	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
319	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
320	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
321	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
322	C₂³×C₄×C₆₇	C₂³	1	8	yes	complemented
323	#123×C₆₇	C₂³	1	8	yes	complemented
324	#123×C₆₇	C₂³	1	8	yes	complemented
325	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	complemented
326	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	complemented
327	#121×C₆₇	C₂³	1	8	yes	—
328	#121×C₆₇	C₂³	1	8	yes	complemented
329	#120×C₆₇	C₂³	1	8	yes	—
330	#120×C₆₇	C₂³	1	8	yes	complemented
331	C₄×D₄×C₆₇	C₂³	1	8	yes	—
332	C₄×D₄×C₆₇	C₂³	1	8	yes	complemented
333	C₄×D₄×C₆₇	C₂³	1	8	yes	complemented
334	C₄×D₄×C₆₇	C₂³	1	8	yes	complemented
335	#117×C₆₇	C₂³	1	8	yes	complemented
336	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
337	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
338	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
339	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
340	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
341	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
342	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
343	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
344	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
345	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
346	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
347	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
348	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
349	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
350	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
351	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
352	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
353	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
354	C₂³×D₆₇	—	2	8	no	—
355	C₂³×D₆₇	—	4	4	no	—
356	C₂³×D₆₇	—	4	4	no	—
357	C₂³×D₆₇	—	4	4	no	—
358	C₂³×D₆₇	—	4	4	no	—
359	C₂³×D₆₇	—	4	4	no	—
360	C₂³×D₆₇	C₂⁴	1	2	yes	—
361	C₂³×D₆₇	C₂⁴	1	2	yes	—
362	C₂³×D₆₇	C₂⁴	1	2	yes	—
363	C₂³×D₆₇	C₂⁴	1	8	yes	—
364	C₂³×D₆₇	C₂⁴	1	8	yes	—
365	#11761628	—	4	16	no	—
366	#11761628	—	4	16	no	—
367	#11761627	—	4	32	no	—
368	C₂×Dic₁₃₄	—	2	4	no	—
369	C₂×Dic₁₃₄	—	4	4	no	—
370	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
371	C₂×Dic₁₃₄	C₂⁴	1	8	yes	—
372	C₂×D₂₆₈	—	2	4	no	—
373	C₂×D₂₆₈	—	2	4	no	—
374	C₂×D₂₆₈	—	2	4	no	—
375	C₂×D₂₆₈	—	4	16	no	—
376	C₂×D₂₆₈	—	4	16	no	—
377	C₂×D₂₆₈	—	4	4	no	—
378	C₂×D₂₆₈	—	4	4	no	—
379	C₂×D₂₆₈	—	4	4	no	—
380	C₂×D₂₆₈	—	4	4	no	—
381	C₂×D₂₆₈	C₂⁴	1	4	yes	—
382	C₂×D₂₆₈	C₂⁴	1	4	yes	—
383	C₂×D₂₆₈	C₂⁴	1	4	yes	—
384	C₂×D₂₆₈	C₂⁴	1	8	yes	—
385	C₂×D₂₆₈	C₂⁴	1	8	yes	—
386	C₂×D₂₆₈	C₂⁴	1	8	yes	—
387	C₂×D₂₆₈	C₂⁴	1	8	yes	—
388	C₂×C₂²⋊D₆₇	—	2	8	no	—
389	C₂×C₂²⋊D₆₇	—	4	4	no	—
390	C₂×C₂²⋊D₆₇	—	4	4	no	—
391	C₂×C₂²⋊D₆₇	—	4	4	no	—
392	C₂×C₂²⋊D₆₇	—	4	4	no	—
393	C₂×C₂²⋊D₆₇	—	4	4	no	—
394	C₂×C₂²⋊D₆₇	—	4	32	no	—
395	C₂×C₂²⋊D₆₇	—	4	4	no	—
396	C₂×C₂²⋊D₆₇	—	4	4	no	—
397	C₂×C₂²⋊D₆₇	—	4	4	no	—
398	C₂×C₂²⋊D₆₇	—	4	4	no	—
399	C₂×C₂²⋊D₆₇	—	4	4	no	—
400	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
401	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
402	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
403	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
404	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
405	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
406	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
407	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
408	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
409	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
410	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
411	D₄×D₆₇	—	4	32	no	—
412	C₂²×Dic₆₇	—	2	8	no	—
413	C₂²×Dic₆₇	—	4	4	no	—
414	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
415	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
416	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
417	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
418	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
419	C₂²×Dic₆₇	C₂⁴	1	8	yes	—
420	C₂²×Dic₆₇	C₂⁴	1	8	yes	—
421	C₂×C₄×D₆₇	—	4	4	no	—
422	C₂×C₄×D₆₇	—	4	4	no	—
423	C₂×C₄×D₆₇	—	4	4	no	—
424	C₂×C₄×D₆₇	—	4	4	no	—
425	C₂×C₄×D₆₇	—	4	4	no	—
426	C₂×C₄×D₆₇	C₂⁴	1	8	yes	—
427	C₂×C₄×D₆₇	C₂⁴	1	8	yes	—
428	C₂×C₄×D₆₇	C₂⁴	1	8	yes	—
429	C₂×C₄×D₆₇	C₂⁴	1	8	yes	—
430	C₂×C₄×D₆₇	C₂⁴	1	8	yes	—
431	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
432	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
433	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
434	C₄⋊Dic₆₇	C₂⁴	1	8	yes	—
435	C₄⋊Dic₆₇	C₂⁴	1	8	yes	—
436	C₄⋊Dic₆₇	C₂⁴	1	8	yes	—
437	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
438	Dic₆₇⋊C₄	C₂⁴	1	8	yes	—
439	Dic₆₇⋊C₄	C₂⁴	1	8	yes	—
440	Dic₆₇⋊C₄	C₂⁴	1	8	yes	—
441	Dic₆₇⋊C₄	C₂⁴	1	8	yes	—
442	Dic₆₇⋊C₄	C₂⁴	1	8	yes	—
443	Dic₆₇⋊C₄	C₂⁴	1	8	yes	—
444	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	—
445	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	—
446	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	—
447	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	—
448	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	—
449	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
450	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
451	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
452	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
453	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
454	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
455	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
456	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
457	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
458	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
459	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
460	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
461	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
462	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
463	C₄×Dic₆₇	C₂⁴	1	8	yes	—
464	C₄×Dic₆₇	C₂⁴	1	8	yes	—
465	C₄×Dic₆₇	C₂⁴	1	8	yes	—
466	C₂⁴×C₆₇	—	2	4	no	—
467	C₂⁴×C₆₇	—	4	2	no	—
468	C₂⁴×C₆₇	—	4	2	no	—
469	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
470	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
471	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
472	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
473	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
474	C₂⁴×C₆₇	C₂⁴	1	4	yes	—
475	#41×C₆₇	—	4	16	no	—
476	C₂×Q₈×C₆₇	—	4	2	no	—
477	C₂×Q₈×C₆₇	C₂⁴	1	4	yes	—
478	C₂×D₄×C₆₇	—	2	4	no	—
479	C₂×D₄×C₆₇	—	2	4	no	—
480	C₂×D₄×C₆₇	—	4	2	no	—
481	C₂×D₄×C₆₇	—	4	2	no	—
482	C₂×D₄×C₆₇	—	4	2	no	—
483	C₂×D₄×C₆₇	—	4	2	no	—
484	C₂×D₄×C₆₇	—	4	2	no	—
485	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
486	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
487	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
488	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
489	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
490	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
491	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
492	C₂²×C₄×C₆₇	—	2	4	no	—
493	C₂²×C₄×C₆₇	—	2	4	no	—
494	C₂²×C₄×C₆₇	—	2	4	no	—
495	C₂²×C₄×C₆₇	—	2	4	no	—
496	C₂²×C₄×C₆₇	—	2	4	no	—
497	C₂²×C₄×C₆₇	—	4	16	no	—
498	C₂²×C₄×C₆₇	—	4	2	no	—
499	C₂²×C₄×C₆₇	—	4	2	no	—
500	C₂²×C₄×C₆₇	—	4	2	no	—
501	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
502	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
503	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
504	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
505	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
506	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
507	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
508	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
509	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
510	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
511	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
512	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
513	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
514	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
515	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
516	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
517	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
518	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
519	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
520	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
521	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
522	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
523	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
524	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
525	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
526	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
527	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
528	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
529	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
530	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
531	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
532	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
533	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
534	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
535	C₄²×C₆₇	C₂⁴	1	4	yes	—
536	C₄²×C₆₇	C₂⁴	1	4	yes	—
537	C₂³×C₆₇	—	2	2	no	—
538	C₂³×C₆₇	—	2	2	no	—
539	C₂³×C₆₇	—	2	2	no	—
540	C₂³×C₆₇	—	2	2	no	—
541	C₂³×C₆₇	—	2	2	no	—
542	C₂³×C₆₇	—	2	2	no	—
543	C₂³×C₆₇	—	2	2	no	—
544	C₂³×C₆₇	—	2	2	no	—
545	C₂³×C₆₇	—	2	8	no	—
546	C₂³×C₆₇	—	2	2	no	—
547	C₂³×C₆₇	—	2	2	no	—
548	C₂³×C₆₇	—	2	2	no	—
549	C₂³×C₆₇	—	2	2	no	—
550	C₂³×C₆₇	—	2	2	no	—
551	C₂³×C₆₇	—	2	2	no	—
552	C₂³×C₆₇	—	4	4	no	—
553	C₂³×C₆₇	—	4	4	no	—
554	C₂³×C₆₇	—	4	16	no	—
555	C₂³×C₆₇	H(5,𝔽₂)	1	4	yes	—
556	C₂³×C₆₇	C₂⁵	1	2	yes	—
557	C₂³×C₆₇	C₂⁵	1	2	yes	—
558	C₂³×C₆₇	C₂⁵	1	2	yes	—
559	C₂³×C₆₇	C₂⁵	1	2	yes	—
560	C₂³×C₆₇	C₂⁵	1	2	yes	—
561	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
562	C₂²×D₆₇	—	2	4	no	—
563	C₂²×D₆₇	—	2	4	no	—
564	C₂²×D₆₇	—	2	4	no	—
565	C₂²×D₆₇	—	2	4	no	—
566	C₂²×D₆₇	—	2	4	no	—
567	C₂²×D₆₇	—	2	4	no	—
568	C₂²×D₆₇	—	2	4	no	—
569	C₂²×D₆₇	—	2	4	no	—
570	C₂²×D₆₇	—	2	4	no	—
571	C₂²×D₆₇	—	2	16	no	—
572	C₂²×D₆₇	—	4	8	no	—
573	C₂²×D₆₇	—	4	8	no	—
574	C₂²×D₆₇	—	4	8	no	—
575	C₂²×D₆₇	—	4	8	no	—
576	C₂²×D₆₇	—	4	8	no	—
577	C₂²×D₆₇	—	8	16	no	—
578	C₂²×D₆₇	—	8	16	no	—
579	C₂²×D₆₇	C₂⁵	1	4	yes	—
580	C₂²×D₆₇	C₂⁵	1	4	yes	—
581	C₂²×D₆₇	C₂⁵	1	4	yes	—
582	Q₈×C₆₇	—	4	4	no	—
583	D₄×C₆₇	—	2	8	no	—
584	D₄×C₆₇	—	2	8	no	—
585	D₄×C₆₇	—	4	4	no	—
586	D₄×C₆₇	—	4	4	no	—
587	D₄×C₆₇	—	4	4	no	—
588	D₄×C₆₇	—	4	4	no	—
589	D₄×C₆₇	—	4	4	no	—
590	C₂×C₄×C₆₇	—	2	2	no	—
591	C₂×C₄×C₆₇	—	2	2	no	—
592	C₂×C₄×C₆₇	—	2	2	no	—
593	C₂×C₄×C₆₇	—	2	2	no	—
594	C₂×C₄×C₆₇	—	2	2	no	—
595	C₂×C₄×C₆₇	—	2	2	no	—
596	C₂×C₄×C₆₇	—	2	2	no	—
597	C₂×C₄×C₆₇	—	2	2	no	—
598	C₂×C₄×C₆₇	—	2	2	no	—
599	C₂×C₄×C₆₇	—	2	8	no	—
600	C₂×C₄×C₆₇	—	2	8	no	—
601	C₂×C₄×C₆₇	—	2	8	no	—
602	C₂×C₄×C₆₇	—	2	8	no	—
603	C₂×C₄×C₆₇	—	2	8	no	—
604	C₂×C₄×C₆₇	—	4	4	no	—
605	C₂×C₄×C₆₇	—	4	4	no	—
606	C₂×C₄×C₆₇	—	4	4	no	—
607	C₂×C₄×C₆₇	H(5,𝔽₂)	1	4	yes	—
608	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
609	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
610	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
611	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
612	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
613	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
614	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
615	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
616	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
617	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
618	C₂²⋊D₆₇	—	2	16	no	—
619	C₂²⋊D₆₇	—	4	8	no	—
620	C₂²⋊D₆₇	—	4	8	no	—
621	C₂²⋊D₆₇	—	4	8	no	—
622	C₂²⋊D₆₇	—	4	8	no	—
623	C₂²⋊D₆₇	—	4	8	no	—
624	C₂²⋊D₆₇	—	4	8	no	—
625	C₂²⋊D₆₇	—	4	8	no	—
626	C₂²⋊D₆₇	—	4	8	no	—
627	C₂²⋊D₆₇	—	4	8	no	—
628	C₂²⋊D₆₇	—	4	8	no	—
629	C₂×Dic₆₇	—	2	4	no	—
630	C₂×Dic₆₇	—	2	4	no	—
631	C₂×Dic₆₇	—	2	4	no	—
632	C₂×Dic₆₇	—	2	4	no	—
633	C₂×Dic₆₇	—	2	16	no	—
634	C₂×Dic₆₇	—	2	4	no	—
635	C₂×Dic₆₇	—	4	8	no	—
636	C₂×Dic₆₇	C₂⁵	1	4	yes	—
637	C₂×Dic₆₇	C₂⁵	1	4	yes	—
638	C₂×Dic₆₇	C₂⁵	1	4	yes	—
639	C₂×Dic₆₇	C₂⁵	1	4	yes	—
640	C₂×Dic₆₇	C₂⁵	1	4	yes	—
641	D₂₆₈	—	2	8	no	—
642	D₂₆₈	—	2	8	no	—
643	D₂₆₈	—	2	8	no	—
644	D₂₆₈	—	4	8	no	—
645	D₂₆₈	—	4	8	no	—
646	D₂₆₈	—	4	8	no	—
647	D₂₆₈	—	4	8	no	—
648	C₄×D₆₇	—	4	8	no	—
649	C₄×D₆₇	—	4	8	no	—
650	C₄×D₆₇	—	4	8	no	—
651	C₄×D₆₇	—	4	8	no	—
652	C₄×D₆₇	—	4	8	no	—
653	Dic₁₃₄	—	2	8	no	—
654	Dic₁₃₄	—	4	8	no	—
655	C₂²×C₆₇	—	2	2	no	—
656	C₂²×C₆₇	—	2	2	no	—
657	C₂²×C₆₇	—	2	8	no	—
658	C₂²×C₆₇	—	2	2	no	—
659	C₂²×C₆₇	—	2	2	no	—
660	C₂²×C₆₇	—	2	2	no	—
661	C₂²×C₆₇	—	2	2	no	—
662	C₂²×C₆₇	—	2	2	no	—
663	C₂²×C₆₇	—	2	2	no	—
664	C₂²×C₆₇	—	2	2	no	—
665	C₂²×C₆₇	—	2	2	no	—
666	C₂²×C₆₇	—	2	2	no	—
667	C₂²×C₆₇	—	2	2	no	—
668	C₂²×C₆₇	—	2	2	no	—
669	C₂²×C₆₇	—	2	2	no	—
670	C₂²×C₆₇	—	4	16	no	—
671	C₂²×C₆₇	—	4	4	no	—
672	C₂²×C₆₇	—	4	4	no	—
673	C₂²×C₆₇	—	4	4	no	—
674	C₂²×C₆₇	—	4	4	no	—
675	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
676	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	4	yes	—
677	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
678	C₂²×C₆₇	#585	1	2	yes	—
679	C₂²×C₆₇	C₂⁶	1	1	yes	characteristic
680	C₂×D₆₇	—	2	4	no	—
681	C₂×D₆₇	—	2	4	no	—
682	C₂×D₆₇	—	2	4	no	—
683	C₂×D₆₇	—	2	4	no	—
684	C₂×D₆₇	—	2	4	no	—
685	C₂×D₆₇	—	2	4	no	—
686	C₂×D₆₇	—	2	4	no	—
687	C₂×D₆₇	—	2	4	no	—
688	C₂×D₆₇	—	2	4	no	—
689	C₂×D₆₇	—	4	8	no	—
690	C₂×D₆₇	—	4	8	no	—
691	C₂×D₆₇	—	4	8	no	—
692	C₂×D₆₇	—	8	16	no	—
693	C₂×D₆₇	—	8	16	no	—
694	C₄×C₆₇	—	2	2	no	—
695	C₄×C₆₇	—	2	2	no	—
696	C₄×C₆₇	—	2	2	no	—
697	C₄×C₆₇	—	2	2	no	—
698	C₄×C₆₇	—	2	2	no	—
699	C₄×C₆₇	—	2	2	no	—
700	C₄×C₆₇	—	2	2	no	—
701	C₄×C₆₇	—	2	2	no	—
702	C₄×C₆₇	—	2	2	no	—
703	C₄×C₆₇	C₂×H(5,𝔽₂)	1	4	yes	—
704	Dic₆₇	—	2	4	no	—
705	Dic₆₇	—	2	4	no	—
706	Dic₆₇	—	2	4	no	—
707	Dic₆₇	—	2	4	no	—
708	Dic₆₇	—	2	4	no	—
709	C₂×#3542	—	67	1	no	maximal, Sylow
710	C₂×C₆₇	—	2	4	no	—
711	C₂×C₆₇	—	4	2	no	—
712	C₂×C₆₇	—	4	2	no	—
713	C₂×C₆₇	—	4	2	no	—
714	C₂×C₆₇	—	4	2	no	—
715	C₂×C₆₇	#3542	1	4	yes	complemented
716	C₂×C₆₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
717	C₂×C₆₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
718	C₂×C₆₇	C₂×#585	1	1	yes	characteristic
719	D₆₇	—	4	4	no	—
720	D₆₇	—	4	4	no	—
721	D₆₇	—	4	4	no	—
722	#3542	—	67	32	no	—
723	C₂×#562	—	67	2	no	—
724	C₂×#560	—	67	2	no	—
725	C₂×#555	—	67	1	no	—
726	C₂×#553	—	67	1	no	—
727	C₂×#552	—	67	1	no	—
728	C₂×#551	—	67	2	no	—
729	C₂×#550	—	67	1	no	—
730	C₂×#547	—	67	1	no	—
731	C₂×#546	—	67	2	no	—
732	C₂×#546	—	67	1	no	—
733	C₂×#546	—	67	1	no	—
734	C₂×D₄²	—	67	1	no	—
735	C₂×#542	—	67	1	no	—
736	C₂×#540	—	67	2	no	—
737	C₂×#540	—	67	1	no	—
738	C₂×#538	—	67	2	no	—
739	C₂×#537	—	67	1	no	—
740	C₂×#535	—	67	1	no	—
741	C₂×#535	—	67	2	no	—
742	C₂×#534	—	67	2	no	—
743	C₂×#525	—	67	1	no	—
744	C₂×#525	D₆₇	1	1	yes	characteristic, complemented
745	C₂²×#121	—	67	1	no	—
746	C₆₇	C₂×#3542	1	1	yes	characteristic, complemented, Sylow
747	C₂²×#41	—	67	2	no	—
748	C₂²×#41	—	67	1	no	—
749	C₂²×#41	—	67	1	no	—
750	C₂²×#41	C₂×D₆₇	1	1	yes	characteristic, complemented
751	C₂³×D₄	—	67	2	no	—
752	C₂³×D₄	—	67	2	no	—
753	C₂³×D₄	—	67	1	no	—
754	C₂³×D₄	—	67	1	no	—
755	C₂⁴×C₄	C₂×D₆₇	1	1	yes	characteristic, complemented
756	#562	—	67	32	no	—
757	#560	—	67	32	no	—
758	#555	—	67	16	no	—
759	#553	—	67	16	no	—
760	#552	—	67	16	no	—
761	#551	—	67	32	no	—
762	#550	—	67	16	no	—
763	#547	—	67	16	no	—
764	#546	—	67	32	no	—
765	#546	—	67	16	no	—
766	#546	—	67	16	no	—
767	D₄²	—	67	16	no	—
768	#542	—	67	16	no	—
769	#540	—	67	32	no	—
770	#540	—	67	16	no	—
771	#538	—	67	32	no	—
772	#537	—	67	16	no	—
773	#535	—	67	16	no	—
774	#535	—	67	32	no	—
775	#534	—	67	32	no	—
776	C₂×C₄⋊Q₈	—	67	1	no	—
777	C₂×#127	—	67	2	no	—
778	C₂×#127	—	67	2	no	—
779	C₂×#127	—	67	1	no	—
780	C₂×#126	—	67	2	no	—
781	C₂×#126	—	67	2	no	—
782	C₂×#126	—	67	2	no	—
783	C₂×#125	—	67	2	no	—
784	C₂×#125	—	67	1	no	—
785	C₂×#124	—	67	2	no	—
786	C₂×#124	—	67	2	no	—
787	C₂×#124	—	67	2	no	—
788	C₂×#124	—	67	2	no	—
789	C₂×#124	—	67	1	no	—
790	#525	—	67	16	no	—
791	#525	C₂×D₆₇	1	16	yes	complemented
792	C₂×#123	—	67	2	no	—
793	C₂×#123	—	67	2	no	—
794	C₂×#123	—	67	2	no	—
795	C₂×#123	—	67	2	no	—
796	C₂×#123	—	67	2	no	—
797	C₂×#123	—	67	2	no	—
798	C₂×#123	—	67	2	no	—
799	C₂×#123	—	67	2	no	—
800	C₂×#123	—	67	2	no	—
801	C₂×#123	—	67	2	no	—
802	C₂×#123	C₂×D₆₇	1	1	yes	characteristic, complemented
803	C₂×#123	C₂×D₆₇	1	1	yes	characteristic, complemented
804	C₂×C₂²⋊Q₈	—	67	2	no	—
805	C₂×C₂²⋊Q₈	—	67	1	no	—
806	C₂×C₂²⋊Q₈	—	67	1	no	—
807	C₂×C₂²⋊Q₈	—	67	1	no	—
808	C₂×C₂²⋊Q₈	—	67	2	no	—
809	C₂×C₂²⋊Q₈	—	67	2	no	—
810	C₂×C₂²⋊Q₈	C₂×D₆₇	1	1	yes	characteristic, complemented
811	C₂×C₂²⋊Q₈	C₂×D₆₇	1	1	yes	characteristic, complemented
812	C₂×#121	—	67	2	no	—
813	C₂×#121	—	67	2	no	—
814	C₂×#121	—	67	2	no	—
815	C₂×#121	—	67	2	no	—
816	C₂×#121	—	67	2	no	—
817	C₂×#121	—	67	1	no	—
818	C₂×#121	—	67	1	no	—
819	C₂×#121	—	67	2	no	—
820	C₂×#121	—	67	1	no	—
821	C₂×#121	—	67	1	no	—
822	C₂×#121	—	67	2	no	—
823	C₂×#121	—	67	1	no	—
824	C₂×#121	—	67	1	no	—
825	C₂×#121	—	67	1	no	—
826	C₂×#121	—	67	1	no	—
827	C₂×#121	—	67	1	no	—
828	C₂×#121	—	67	16	no	—
829	C₂×#121	—	67	2	no	—
830	C₂×#121	—	67	2	no	—
831	C₂×#121	—	67	2	no	—
832	C₂×#121	—	67	2	no	—
833	C₂×#121	—	67	2	no	—
834	C₂×#121	—	67	2	no	—
835	C₂×#121	—	67	2	no	—
836	C₂×#121	C₂×D₆₇	1	1	yes	characteristic
837	C₂×#121	C₂×D₆₇	1	1	yes	characteristic, complemented
838	C₂×#120	—	67	2	no	—
839	C₂×#120	—	67	2	no	—
840	C₂×#120	—	67	2	no	—
841	C₂×#120	—	67	2	no	—
842	C₂×#120	—	67	2	no	—
843	C₂×#120	—	67	2	no	—
844	C₂×#120	—	67	2	no	—
845	C₂×#120	C₂×D₆₇	1	1	yes	characteristic
846	C₂×#120	C₂×D₆₇	1	1	yes	characteristic, complemented
847	C₂×C₄×Q₈	—	67	1	no	—
848	C₂×C₄×D₄	—	67	2	no	—
849	C₂×C₄×D₄	—	67	2	no	—
850	C₂×C₄×D₄	—	67	2	no	—
851	C₂×C₄×D₄	—	67	2	no	—
852	C₂×C₄×D₄	—	67	1	no	—
853	C₂×C₄×D₄	—	67	1	no	—
854	C₂×C₄×D₄	—	67	1	no	—
855	C₂×C₄×D₄	C₂×D₆₇	1	1	yes	characteristic
856	C₂×C₄×D₄	C₂×D₆₇	1	1	yes	characteristic, complemented
857	C₂×C₄×D₄	C₂×D₆₇	1	1	yes	characteristic, complemented
858	C₂×C₄×D₄	C₂×D₆₇	1	1	yes	characteristic, complemented
859	C₂×#117	—	67	1	no	—
860	C₂×#117	—	67	1	no	—
861	C₂×#117	—	67	2	no	—
862	C₂×#117	—	67	2	no	—
863	C₂×#117	C₂×D₆₇	1	1	yes	characteristic, complemented
864	C₂²×C₄⋊C₄	—	67	1	no	—
865	C₂²×C₄⋊C₄	—	67	1	no	—
866	C₂²×C₂²⋊C₄	—	67	2	no	—
867	C₂²×C₂²⋊C₄	—	67	2	no	—
868	C₂²×C₂²⋊C₄	—	67	2	no	—
869	C₂⁵	—	67	2	no	—
870	C₂⁵	—	67	2	no	—
871	C₂⁵	C₂²×D₆₇	1	1	yes	characteristic
872	C₂×#41	—	4	4	no	—
873	C₂×#41	—	268	4	no	—
874	C₂×#41	—	268	4	no	—
875	C₂×#41	—	268	8	no	—
876	C₂×#41	—	67	16	no	—
877	C₂×#41	—	67	8	no	—
878	C₂×#41	—	67	8	no	—
879	C₂×#41	C₂²×D₆₇	1	8	yes	complemented
880	C₂²×Q₈	—	67	2	no	—
881	C₂²×Q₈	—	67	1	no	—
882	C₂²×Q₈	C₂²×D₆₇	1	1	yes	characteristic
883	C₂²×D₄	—	268	4	no	—
884	C₂²×D₄	—	268	4	no	—
885	C₂²×D₄	—	268	8	no	—
886	C₂²×D₄	—	268	8	no	—
887	C₂²×D₄	—	67	2	no	—
888	C₂²×D₄	—	67	2	no	—
889	C₂²×D₄	—	67	2	no	—
890	C₂²×D₄	—	67	2	no	—
891	C₂²×D₄	—	67	2	no	—
892	C₂²×D₄	—	67	2	no	—
893	C₂²×D₄	—	67	2	no	—
894	C₂²×D₄	—	67	2	no	—
895	C₂²×D₄	—	67	2	no	—
896	C₂²×D₄	—	67	2	no	—
897	C₂²×D₄	—	67	16	no	—
898	C₂²×D₄	—	67	16	no	—
899	C₂²×D₄	—	67	2	no	—
900	C₂²×D₄	—	67	2	no	—
901	C₂²×D₄	—	67	2	no	—
902	C₂²×D₄	—	67	2	no	—
903	C₂²×D₄	—	67	2	no	—
904	C₂²×D₄	—	67	8	no	—
905	C₂²×D₄	—	67	8	no	—
906	C₂²×D₄	—	67	1	no	—
907	C₂²×D₄	—	67	1	no	—
908	C₂²×D₄	—	67	1	no	—
909	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
910	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
911	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
912	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
913	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
914	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
915	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
916	C₂³×C₄	—	4	4	no	—
917	C₂³×C₄	—	67	2	no	—
918	C₂³×C₄	—	67	2	no	—
919	C₂³×C₄	—	67	2	no	—
920	C₂³×C₄	—	67	2	no	—
921	C₂³×C₄	—	67	2	no	—
922	C₂³×C₄	—	67	2	no	—
923	C₂³×C₄	—	67	2	no	—
924	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
925	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
926	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
927	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
928	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
929	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
930	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
931	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
932	C₂³×C₄	C₂²×D₆₇	1	8	yes	complemented
933	C₄⋊Q₈	—	67	8	no	—
934	#127	—	67	16	no	—
935	#127	—	67	16	no	—
936	#127	—	67	8	no	—
937	#126	—	67	16	no	—
938	#126	—	67	16	no	—
939	#126	—	67	16	no	—
940	#125	—	67	16	no	—
941	#125	—	67	8	no	—
942	#124	—	67	16	no	—
943	#124	—	67	16	no	—
944	#124	—	67	16	no	—
945	#124	—	67	16	no	—
946	#124	—	67	8	no	—
947	#123	—	67	16	no	—
948	#123	—	67	16	no	—
949	#123	—	67	16	no	—
950	#123	—	67	16	no	—
951	#123	—	67	16	no	—
952	#123	—	67	16	no	—
953	#123	—	67	16	no	—
954	#123	—	67	16	no	—
955	#123	—	67	16	no	—
956	#123	—	67	16	no	—
957	#123	C₂²×D₆₇	1	8	yes	complemented
958	#123	C₂²×D₆₇	1	8	yes	complemented
959	C₂²⋊Q₈	—	67	16	no	—
960	C₂²⋊Q₈	—	67	8	no	—
961	C₂²⋊Q₈	—	67	8	no	—
962	C₂²⋊Q₈	—	67	8	no	—
963	C₂²⋊Q₈	—	67	16	no	—
964	C₂²⋊Q₈	—	67	16	no	—
965	C₂²⋊Q₈	C₂²×D₆₇	1	8	yes	complemented
966	C₂²⋊Q₈	C₂²×D₆₇	1	8	yes	complemented
967	#121	—	67	16	no	—
968	#121	—	67	16	no	—
969	#121	—	67	16	no	—
970	#121	—	67	16	no	—
971	#121	—	67	16	no	—
972	#121	—	67	8	no	—
973	#121	—	67	8	no	—
974	#121	—	67	16	no	—
975	#121	—	67	8	no	—
976	#121	—	67	8	no	—
977	#121	—	67	16	no	—
978	#121	—	67	8	no	—
979	#121	—	67	8	no	—
980	#121	—	67	8	no	—
981	#121	—	67	8	no	—
982	#121	—	67	8	no	—
983	#121	—	67	16	no	—
984	#121	—	67	16	no	—
985	#121	—	67	16	no	—
986	#121	—	67	16	no	—
987	#121	—	67	16	no	—
988	#121	—	67	16	no	—
989	#121	—	67	16	no	—
990	#121	C₂²×D₆₇	1	8	yes	—
991	#121	C₂²×D₆₇	1	8	yes	complemented
992	#120	—	67	16	no	—
993	#120	—	67	16	no	—
994	#120	—	67	16	no	—
995	#120	—	67	16	no	—
996	#120	—	67	16	no	—
997	#120	—	67	16	no	—
998	#120	—	67	16	no	—
999	#120	C₂²×D₆₇	1	8	yes	—
1000	#120	C₂²×D₆₇	1	8	yes	complemented
1001	C₄×Q₈	—	67	8	no	—
1002	C₄×D₄	—	67	16	no	—
1003	C₄×D₄	—	67	16	no	—
1004	C₄×D₄	—	67	16	no	—
1005	C₄×D₄	—	67	16	no	—
1006	C₄×D₄	—	67	8	no	—
1007	C₄×D₄	—	67	8	no	—
1008	C₄×D₄	—	67	8	no	—
1009	C₄×D₄	C₂²×D₆₇	1	8	yes	—
1010	C₄×D₄	C₂²×D₆₇	1	8	yes	complemented
1011	C₄×D₄	C₂²×D₆₇	1	8	yes	complemented
1012	C₄×D₄	C₂²×D₆₇	1	8	yes	complemented
1013	#117	—	67	8	no	—
1014	#117	—	67	8	no	—
1015	#117	—	67	16	no	—
1016	#117	—	67	16	no	—
1017	#117	C₂²×D₆₇	1	8	yes	complemented
1018	C₂×C₄⋊C₄	—	67	1	no	—
1019	C₂×C₄⋊C₄	—	67	1	no	—
1020	C₂×C₄⋊C₄	—	67	1	no	—
1021	C₂×C₄⋊C₄	—	67	2	no	—
1022	C₂×C₄⋊C₄	—	67	8	no	—
1023	C₂×C₄⋊C₄	—	67	2	no	—
1024	C₂×C₄⋊C₄	—	67	8	no	—
1025	C₂×C₄⋊C₄	—	67	1	no	—
1026	C₂×C₄⋊C₄	—	67	2	no	—
1027	C₂×C₄⋊C₄	—	67	2	no	—
1028	C₂×C₄⋊C₄	—	67	2	no	—
1029	C₂×C₄⋊C₄	—	67	2	no	—
1030	C₂×C₄⋊C₄	—	67	2	no	—
1031	C₂×C₄⋊C₄	—	67	2	no	—
1032	C₂×C₄⋊C₄	—	67	2	no	—
1033	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1034	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1035	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1036	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1037	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1038	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1039	C₂×C₂²⋊C₄	—	67	2	no	—
1040	C₂×C₂²⋊C₄	—	67	2	no	—
1041	C₂×C₂²⋊C₄	—	67	2	no	—
1042	C₂×C₂²⋊C₄	—	67	2	no	—
1043	C₂×C₂²⋊C₄	—	67	2	no	—
1044	C₂×C₂²⋊C₄	—	67	2	no	—
1045	C₂×C₂²⋊C₄	—	67	2	no	—
1046	C₂×C₂²⋊C₄	—	67	2	no	—
1047	C₂×C₂²⋊C₄	—	67	2	no	—
1048	C₂×C₂²⋊C₄	—	67	2	no	—
1049	C₂×C₂²⋊C₄	—	67	2	no	—
1050	C₂×C₂²⋊C₄	—	67	2	no	—
1051	C₂×C₂²⋊C₄	—	67	16	no	—
1052	C₂×C₂²⋊C₄	—	67	2	no	—
1053	C₂×C₂²⋊C₄	—	67	2	no	—
1054	C₂×C₂²⋊C₄	—	67	2	no	—
1055	C₂×C₂²⋊C₄	—	67	2	no	—
1056	C₂×C₂²⋊C₄	—	67	2	no	—
1057	C₂×C₂²⋊C₄	—	67	2	no	—
1058	C₂×C₂²⋊C₄	—	67	2	no	—
1059	C₂×C₂²⋊C₄	—	67	16	no	—
1060	C₂×C₂²⋊C₄	—	67	16	no	—
1061	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1062	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1063	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1064	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1065	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1066	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1067	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1068	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1069	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1070	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1071	C₂×C₄²	—	67	2	no	—
1072	C₂×C₄²	—	67	2	no	—
1073	C₂×C₄²	—	67	2	no	—
1074	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
1075	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
1076	C₂⁴	—	2	4	no	—
1077	C₂⁴	—	4	2	no	—
1078	C₂⁴	—	4	2	no	—
1079	C₂⁴	—	268	4	no	—
1080	C₂⁴	—	268	4	no	—
1081	C₂⁴	—	268	4	no	—
1082	C₂⁴	—	268	4	no	—
1083	C₂⁴	—	268	4	no	—
1084	C₂⁴	—	67	8	no	—
1085	C₂⁴	—	67	8	no	—
1086	C₂⁴	—	67	2	no	—
1087	C₂⁴	—	67	2	no	—
1088	C₂⁴	—	67	2	no	—
1089	C₂⁴	—	134	8	no	—
1090	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1091	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1092	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1093	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1094	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1095	C₂⁴	C₂³×D₆₇	1	4	yes	—
1096	#41	—	4	16	no	—
1097	#41	—	268	16	no	—
1098	#41	—	268	16	no	—
1099	#41	—	268	32	no	—
1100	C₂×Q₈	—	4	2	no	—
1101	C₂×Q₈	—	268	4	no	—
1102	C₂×Q₈	—	67	8	no	—
1103	C₂×Q₈	—	67	4	no	—
1104	C₂×Q₈	—	134	4	no	—
1105	C₂×Q₈	C₂³×D₆₇	1	4	yes	—
1106	C₂×D₄	—	2	4	no	—
1107	C₂×D₄	—	2	4	no	—
1108	C₂×D₄	—	4	2	no	—
1109	C₂×D₄	—	4	2	no	—
1110	C₂×D₄	—	4	2	no	—
1111	C₂×D₄	—	4	2	no	—
1112	C₂×D₄	—	4	2	no	—
1113	C₂×D₄	—	268	4	no	—
1114	C₂×D₄	—	268	4	no	—
1115	C₂×D₄	—	268	4	no	—
1116	C₂×D₄	—	268	4	no	—
1117	C₂×D₄	—	268	16	no	—
1118	C₂×D₄	—	268	16	no	—
1119	C₂×D₄	—	268	32	no	—
1120	C₂×D₄	—	268	4	no	—
1121	C₂×D₄	—	268	4	no	—
1122	C₂×D₄	—	268	4	no	—
1123	C₂×D₄	—	268	4	no	—
1124	C₂×D₄	—	268	4	no	—
1125	C₂×D₄	—	268	32	no	—
1126	C₂×D₄	—	268	4	no	—
1127	C₂×D₄	—	268	4	no	—
1128	C₂×D₄	—	268	4	no	—
1129	C₂×D₄	—	268	4	no	—
1130	C₂×D₄	—	268	4	no	—
1131	C₂×D₄	—	67	8	no	—
1132	C₂×D₄	—	67	8	no	—
1133	C₂×D₄	—	67	8	no	—
1134	C₂×D₄	—	67	8	no	—
1135	C₂×D₄	—	67	8	no	—
1136	C₂×D₄	—	67	8	no	—
1137	C₂×D₄	—	67	8	no	—
1138	C₂×D₄	—	67	8	no	—
1139	C₂×D₄	—	67	8	no	—
1140	C₂×D₄	—	67	8	no	—
1141	C₂×D₄	—	67	8	no	—
1142	C₂×D₄	—	67	8	no	—
1143	C₂×D₄	—	67	8	no	—
1144	C₂×D₄	—	67	8	no	—
1145	C₂×D₄	—	67	8	no	—
1146	C₂×D₄	—	67	4	no	—
1147	C₂×D₄	—	67	4	no	—
1148	C₂×D₄	—	67	4	no	—
1149	C₂×D₄	—	134	8	no	—
1150	C₂×D₄	—	134	4	no	—
1151	C₂×D₄	—	134	4	no	—
1152	C₂×D₄	—	134	4	no	—
1153	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1154	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1155	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1156	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1157	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1158	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1159	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1160	C₂²×C₄	—	2	4	no	—
1161	C₂²×C₄	—	2	4	no	—
1162	C₂²×C₄	—	2	4	no	—
1163	C₂²×C₄	—	2	4	no	—
1164	C₂²×C₄	—	2	4	no	—
1165	C₂²×C₄	—	4	16	no	—
1166	C₂²×C₄	—	4	2	no	—
1167	C₂²×C₄	—	4	2	no	—
1168	C₂²×C₄	—	4	2	no	—
1169	C₂²×C₄	—	268	4	no	—
1170	C₂²×C₄	—	268	4	no	—
1171	C₂²×C₄	—	268	4	no	—
1172	C₂²×C₄	—	268	4	no	—
1173	C₂²×C₄	—	268	4	no	—
1174	C₂²×C₄	—	268	4	no	—
1175	C₂²×C₄	—	67	8	no	—
1176	C₂²×C₄	—	67	8	no	—
1177	C₂²×C₄	—	67	8	no	—
1178	C₂²×C₄	—	67	8	no	—
1179	C₂²×C₄	—	67	8	no	—
1180	C₂²×C₄	—	67	8	no	—
1181	C₂²×C₄	—	67	8	no	—
1182	C₂²×C₄	—	67	2	no	—
1183	C₂²×C₄	—	67	2	no	—
1184	C₂²×C₄	—	67	2	no	—
1185	C₂²×C₄	—	67	2	no	—
1186	C₂²×C₄	—	67	2	no	—
1187	C₂²×C₄	—	134	8	no	—
1188	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1189	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1190	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1191	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1192	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1193	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1194	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1195	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1196	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1197	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1198	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1199	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1200	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1201	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1202	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1203	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1204	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1205	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1206	C₄⋊C₄	—	67	4	no	—
1207	C₄⋊C₄	—	67	4	no	—
1208	C₄⋊C₄	—	67	4	no	—
1209	C₄⋊C₄	—	67	8	no	—
1210	C₄⋊C₄	—	67	8	no	—
1211	C₄⋊C₄	—	67	4	no	—
1212	C₄⋊C₄	—	67	8	no	—
1213	C₄⋊C₄	—	67	8	no	—
1214	C₄⋊C₄	—	67	8	no	—
1215	C₄⋊C₄	—	67	8	no	—
1216	C₄⋊C₄	—	67	8	no	—
1217	C₄⋊C₄	—	67	8	no	—
1218	C₄⋊C₄	—	67	8	no	—
1219	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1220	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1221	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1222	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1223	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1224	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1225	C₂²⋊C₄	—	67	8	no	—
1226	C₂²⋊C₄	—	67	8	no	—
1227	C₂²⋊C₄	—	67	8	no	—
1228	C₂²⋊C₄	—	67	8	no	—
1229	C₂²⋊C₄	—	67	8	no	—
1230	C₂²⋊C₄	—	67	8	no	—
1231	C₂²⋊C₄	—	67	8	no	—
1232	C₂²⋊C₄	—	67	8	no	—
1233	C₂²⋊C₄	—	67	8	no	—
1234	C₂²⋊C₄	—	67	8	no	—
1235	C₂²⋊C₄	—	67	8	no	—
1236	C₂²⋊C₄	—	67	8	no	—
1237	C₂²⋊C₄	—	67	8	no	—
1238	C₂²⋊C₄	—	67	8	no	—
1239	C₂²⋊C₄	—	67	8	no	—
1240	C₂²⋊C₄	—	67	8	no	—
1241	C₂²⋊C₄	—	67	8	no	—
1242	C₂²⋊C₄	—	67	8	no	—
1243	C₂²⋊C₄	—	67	8	no	—
1244	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1245	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1246	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1247	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1248	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1249	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1250	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1251	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1252	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1253	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1254	C₄²	—	67	8	no	—
1255	C₄²	—	67	8	no	—
1256	C₄²	—	67	8	no	—
1257	C₄²	C₂³×D₆₇	1	4	yes	—
1258	C₄²	C₂³×D₆₇	1	4	yes	—
1259	C₂³	—	2	2	no	—
1260	C₂³	—	2	2	no	—
1261	C₂³	—	2	2	no	—
1262	C₂³	—	2	2	no	—
1263	C₂³	—	2	2	no	—
1264	C₂³	—	2	2	no	—
1265	C₂³	—	2	2	no	—
1266	C₂³	—	2	2	no	—
1267	C₂³	—	2	8	no	—
1268	C₂³	—	2	2	no	—
1269	C₂³	—	2	2	no	—
1270	C₂³	—	2	2	no	—
1271	C₂³	—	2	2	no	—
1272	C₂³	—	2	2	no	—
1273	C₂³	—	2	2	no	—
1274	C₂³	—	4	4	no	—
1275	C₂³	—	4	4	no	—
1276	C₂³	—	4	16	no	—
1277	C₂³	—	268	8	no	—
1278	C₂³	—	268	8	no	—
1279	C₂³	—	268	8	no	—
1280	C₂³	—	268	8	no	—
1281	C₂³	—	268	8	no	—
1282	C₂³	—	536	16	no	—
1283	C₂³	—	536	16	no	—
1284	C₂³	—	67	4	no	—
1285	C₂³	—	67	4	no	—
1286	C₂³	—	67	4	no	—
1287	C₂³	—	134	4	no	—
1288	C₂³	—	134	4	no	—
1289	C₂³	—	134	4	no	—
1290	C₂³	—	134	4	no	—
1291	C₂³	—	134	4	no	—
1292	C₂³	—	134	4	no	—
1293	C₂³	—	134	4	no	—
1294	C₂³	—	134	4	no	—
1295	C₂³	—	134	4	no	—
1296	C₂³	—	134	16	no	—
1297	C₂³	#14524089	1	4	yes	—
1298	C₂³	C₂⁴×D₆₇	1	2	yes	—
1299	C₂³	C₂⁴×D₆₇	1	2	yes	—
1300	C₂³	C₂⁴×D₆₇	1	2	yes	—
1301	C₂³	C₂⁴×D₆₇	1	2	yes	—
1302	C₂³	C₂⁴×D₆₇	1	2	yes	—
1303	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
1304	Q₈	—	4	4	no	—
1305	Q₈	—	268	8	no	—
1306	Q₈	—	134	8	no	—
1307	D₄	—	2	8	no	—
1308	D₄	—	2	8	no	—
1309	D₄	—	4	4	no	—
1310	D₄	—	4	4	no	—
1311	D₄	—	4	4	no	—
1312	D₄	—	4	4	no	—
1313	D₄	—	4	4	no	—
1314	D₄	—	268	8	no	—
1315	D₄	—	268	8	no	—
1316	D₄	—	268	8	no	—
1317	D₄	—	268	8	no	—
1318	D₄	—	268	8	no	—
1319	D₄	—	268	8	no	—
1320	D₄	—	268	8	no	—
1321	D₄	—	268	8	no	—
1322	D₄	—	268	8	no	—
1323	D₄	—	268	8	no	—
1324	D₄	—	268	8	no	—
1325	D₄	—	268	8	no	—
1326	D₄	—	268	8	no	—
1327	D₄	—	268	8	no	—
1328	D₄	—	134	16	no	—
1329	D₄	—	134	8	no	—
1330	D₄	—	134	8	no	—
1331	D₄	—	134	8	no	—
1332	C₂×C₄	—	2	2	no	—
1333	C₂×C₄	—	2	2	no	—
1334	C₂×C₄	—	2	2	no	—
1335	C₂×C₄	—	2	2	no	—
1336	C₂×C₄	—	2	2	no	—
1337	C₂×C₄	—	2	2	no	—
1338	C₂×C₄	—	2	2	no	—
1339	C₂×C₄	—	2	2	no	—
1340	C₂×C₄	—	2	2	no	—
1341	C₂×C₄	—	2	8	no	—
1342	C₂×C₄	—	2	8	no	—
1343	C₂×C₄	—	2	8	no	—
1344	C₂×C₄	—	2	8	no	—
1345	C₂×C₄	—	2	8	no	—
1346	C₂×C₄	—	4	4	no	—
1347	C₂×C₄	—	4	4	no	—
1348	C₂×C₄	—	4	4	no	—
1349	C₂×C₄	—	268	8	no	—
1350	C₂×C₄	—	268	8	no	—
1351	C₂×C₄	—	268	8	no	—
1352	C₂×C₄	—	268	8	no	—
1353	C₂×C₄	—	268	8	no	—
1354	C₂×C₄	—	268	8	no	—
1355	C₂×C₄	—	67	4	no	—
1356	C₂×C₄	—	67	4	no	—
1357	C₂×C₄	—	67	4	no	—
1358	C₂×C₄	—	67	4	no	—
1359	C₂×C₄	—	67	4	no	—
1360	C₂×C₄	—	134	4	no	—
1361	C₂×C₄	—	134	4	no	—
1362	C₂×C₄	—	134	4	no	—
1363	C₂×C₄	—	134	4	no	—
1364	C₂×C₄	—	134	16	no	—
1365	C₂×C₄	—	134	4	no	—
1366	C₂×C₄	#14524088	1	4	yes	—
1367	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1368	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1369	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1370	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1371	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1372	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1373	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1374	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1375	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1376	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1377	C₂²	—	2	2	no	—
1378	C₂²	—	2	2	no	—
1379	C₂²	—	2	8	no	—
1380	C₂²	—	2	2	no	—
1381	C₂²	—	2	2	no	—
1382	C₂²	—	2	2	no	—
1383	C₂²	—	2	2	no	—
1384	C₂²	—	2	2	no	—
1385	C₂²	—	2	2	no	—
1386	C₂²	—	2	2	no	—
1387	C₂²	—	2	2	no	—
1388	C₂²	—	2	2	no	—
1389	C₂²	—	2	2	no	—
1390	C₂²	—	2	2	no	—
1391	C₂²	—	2	2	no	—
1392	C₂²	—	4	16	no	—
1393	C₂²	—	4	4	no	—
1394	C₂²	—	4	4	no	—
1395	C₂²	—	4	4	no	—
1396	C₂²	—	4	4	no	—
1397	C₂²	—	268	8	no	—
1398	C₂²	—	268	8	no	—
1399	C₂²	—	268	8	no	—
1400	C₂²	—	536	16	no	—
1401	C₂²	—	536	16	no	—
1402	C₂²	—	134	4	no	—
1403	C₂²	—	134	4	no	—
1404	C₂²	—	134	4	no	—
1405	C₂²	—	134	4	no	—
1406	C₂²	—	134	4	no	—
1407	C₂²	—	134	4	no	—
1408	C₂²	—	134	4	no	—
1409	C₂²	—	134	4	no	—
1410	C₂²	—	134	4	no	—
1411	C₂²	C₂×#14524088	1	2	yes	—
1412	C₂²	C₂×#14524089	1	4	yes	—
1413	C₂²	C₂×#14524089	1	2	yes	—
1414	C₂²	#16864232	1	2	yes	—
1415	C₂²	C₂⁵×D₆₇	1	1	yes	characteristic
1416	C₄	—	2	2	no	—
1417	C₄	—	2	2	no	—
1418	C₄	—	2	2	no	—
1419	C₄	—	2	2	no	—
1420	C₄	—	2	2	no	—
1421	C₄	—	2	2	no	—
1422	C₄	—	2	2	no	—
1423	C₄	—	2	2	no	—
1424	C₄	—	2	2	no	—
1425	C₄	—	134	4	no	—
1426	C₄	—	134	4	no	—
1427	C₄	—	134	4	no	—
1428	C₄	—	134	4	no	—
1429	C₄	—	134	4	no	—
1430	C₄	C₂×#14524088	1	4	yes	—
1431	C₂	—	2	4	no	—
1432	C₂	—	4	2	no	—
1433	C₂	—	4	2	no	—
1434	C₂	—	4	2	no	—
1435	C₂	—	4	2	no	—
1436	C₂	—	268	4	no	—
1437	C₂	—	268	4	no	—
1438	C₂	—	268	4	no	—
1439	C₂	#22574525	1	4	yes	direct product factor
1440	C₂	C₂²×#14524088	1	1	yes	characteristic
1441	C₂	C₂²×#14524089	1	1	yes	characteristic
1442	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×#525×C₆₇	C₂
socle	C₂³×C₆₇	C₂⁵
hypercenter	C₂×#525	D₆₇
hypocenter	C₆₇	C₂×#3542
LCS	G ▷ C₂²×C₆₇ ▷ C₆₇
UCS	C₁ ◁ C₂³ ◁ C₂×#525

Complements

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

N	H ≅ G/N	type
1. #22574525	C₂	direct (N × H)
2. C₂×#16864142	C₂	semidirect
3. C₂×#16864134	C₂	semidirect
4. C₂×#16864111	C₂	semidirect
5. C₂×#16864092	C₂	semidirect
6. C₂×#16864086	C₂	semidirect
7. C₂×#16864073	C₂	semidirect
8. C₂×#16864067	C₂	semidirect
9. C₂×#16864050	C₂	semidirect
10. C₂×#16864042	C₂	semidirect
11. C₂×#16864042	C₂	semidirect
12. C₂×#16864035	C₂	semidirect
13. C₂×D₄×D₂₆₈	C₂	semidirect
14. C₂×#16864017	C₂	semidirect
15. C₂×#16864001	C₂	semidirect
16. C₂×#16863998	C₂	semidirect
17. C₂×#16863982	C₂	semidirect
18. C₂×#16863974	C₂	semidirect
19. C₂×#16863961	C₂	semidirect
20. C₂×#16863960	C₂	semidirect
21. C₂×#16863956	C₂	semidirect
22. C₂×#16863907	C₂	semidirect
23. C₂²×#14524017	C₂	semidirect
24. C₂×#525×C₆₇	C₂	semidirect
25. C₂²×#11761628	C₂²	semidirect
26. C₂²×#11761628	C₂²	semidirect
27. C₂²×#11761627	C₂²	semidirect
29. C₂³×D₂₆₈	C₂²	semidirect
30. C₂³×C₂²⋊D₆₇	C₂²	semidirect
32. #16864142	C₂²	semidirect
33. #16864134	C₂²	semidirect
34. #16864111	C₂²	semidirect
35. #16864092	C₂²	semidirect
36. #16864086	C₂²	semidirect
37. #16864073	C₂²	semidirect
38. #16864067	C₂²	semidirect
39. #16864050	C₂²	semidirect
40. #16864042	C₂²	semidirect
41. #16864042	C₂²	semidirect
42. #16864035	C₂²	semidirect
43. D₄×D₂₆₈	C₂²	semidirect
44. #16864017	C₂²	semidirect
45. #16864001	C₂²	semidirect
46. #16863998	C₂²	semidirect
47. #16863982	C₂²	semidirect
48. #16863974	C₂²	semidirect
49. #16863961	C₂²	semidirect
50. #16863960	C₂²	semidirect
51. #16863956	C₂²	semidirect
52. C₂×#14524043	C₂²	semidirect
53. C₂×#14524040	C₂²	semidirect
54. C₂×#14524039	C₂²	semidirect
55. C₂×#14524039	C₂²	semidirect
56. C₂×#14524038	C₂²	semidirect
57. C₂×#14524038	C₂²	semidirect
58. C₂×#14524036	C₂²	semidirect
59. C₂×#14524035	C₂²	semidirect
60. C₂×#14524033	C₂²	semidirect
61. C₂×#14524032	C₂²	semidirect
62. C₂×#14524031	C₂²	semidirect
63. C₂×#14524029	C₂²	semidirect
64. C₂×#14524029	C₂²	semidirect
65. C₂×#14524029	C₂²	semidirect
66. #16863907	C₂²	semidirect
67. C₂×#14524028	C₂²	semidirect
68. C₂×#14524028	C₂²	semidirect
69. C₂×#14524028	C₂²	semidirect
70. C₂×#14524028	C₂²	semidirect
71. C₂×#14524027	C₂²	semidirect
72. C₂×#14524027	C₂²	semidirect
73. C₂×#14524026	C₂²	semidirect
74. C₂×#14524025	C₂²	semidirect
75. C₂×#14524025	C₂²	semidirect
77. C₂×#14524023	C₂²	semidirect
78. C₂×#14524022	C₂²	semidirect
79. C₂×#14524022	C₂²	semidirect
80. C₂×#14524022	C₂²	semidirect
81. C₂×#14524021	C₂²	semidirect
82. C₂×#14524019	C₂²	semidirect
83. C₂×#14524018	C₂²	semidirect
87. C₂×#14524017	C₂²	semidirect
88. C₂×#14524017	C₂²	semidirect
89. C₂×#14524017	C₂²	semidirect
90. C₂×#14524017	C₂²	semidirect
91. C₂×#14524017	C₂²	semidirect
92. C₂×#14524017	C₂²	semidirect
93. C₂×#14524017	C₂²	semidirect
94. C₂×#14524017	C₂²	semidirect
95. C₂×#14524017	C₂²	semidirect
96. C₂×#14524016	C₂²	semidirect
97. C₂×#14524016	C₂²	semidirect
98. C₂×#14524016	C₂²	semidirect
99. C₂×#14524016	C₂²	semidirect
100. C₂×#14524016	C₂²	semidirect
101. C₂×#14524016	C₂²	semidirect
102. C₂×#14524015	C₂²	semidirect
103. C₂×#14524015	C₂²	semidirect
104. C₂×#14524015	C₂²	semidirect
105. C₂×#14524014	C₂²	semidirect
106. C₂×#14524014	C₂²	semidirect
108. C₂×#14524013	C₂²	semidirect
109. C₂×#14524012	C₂²	semidirect
110. C₂×#14524011	C₂²	semidirect
111. C₂×#14524011	C₂²	semidirect
112. C₂×#14524011	C₂²	semidirect
113. C₂×#14524011	C₂²	semidirect
114. C₂×C₄×Dic₁₃₄	C₂²	semidirect
115. C₂×C₄×D₂₆₈	C₂²	semidirect
116. C₂×C₄×D₂₆₈	C₂²	semidirect
117. C₂×C₄×D₂₆₈	C₂²	semidirect
118. C₂×#14524005	C₂²	semidirect
119. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
120. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
121. C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	semidirect
122. C₂×#14524002	C₂²	semidirect
123. C₂×#14524002	C₂²	semidirect
124. C₂×#14524001	C₂²	semidirect
125. C₂×#14523999	C₂²	semidirect
126. C₂²×C₄⋊Dic₆₇	C₂²	semidirect
127. C₂²×C₄⋊Dic₆₇	C₂²	semidirect
128. C₂²×(C₂×D₆₇)⋊C₄	C₂²	semidirect
129. C₂×C₂²⋊C₄×D₆₇	C₂²	semidirect
130. C₂×C₂²⋊C₄×D₆₇	C₂²	semidirect
131. C₂²×#41×C₆₇	C₂²	semidirect
132. C₂⁴×C₄×C₆₇	C₂²	semidirect
133. #525×C₆₇	C₂²	semidirect
134. C₂×#123×C₆₇	C₂²	semidirect
135. C₂×#123×C₆₇	C₂²	semidirect
136. C₂×C₂²⋊Q₈×C₆₇	C₂²	semidirect
137. C₂×C₂²⋊Q₈×C₆₇	C₂²	semidirect
139. C₂×#121×C₆₇	C₂²	semidirect
141. C₂×#120×C₆₇	C₂²	semidirect
143. C₂×C₄×D₄×C₆₇	C₂²	semidirect
144. C₂×C₄×D₄×C₆₇	C₂²	semidirect
145. C₂×C₄×D₄×C₆₇	C₂²	semidirect
146. C₂×#117×C₆₇	C₂²	semidirect
151. C₂×#11761628	C₂³	semidirect
152. C₂×#11761628	C₂³	semidirect
154. C₂×#11761627	C₂³	semidirect
167. C₂²×D₂₆₈	C₂³	semidirect
180. C₂²×C₂²⋊D₆₇	C₂³	semidirect
190. #14524043	C₂³	semidirect
191. #14524040	C₂³	semidirect
192. #14524039	C₂³	semidirect
193. #14524039	C₂³	semidirect
194. #14524038	C₂³	semidirect
195. #14524038	C₂³	semidirect
196. #14524036	C₂³	semidirect
197. #14524035	C₂³	semidirect
198. #14524033	C₂³	semidirect
199. #14524032	C₂³	semidirect
200. #14524031	C₂³	semidirect
201. #14524029	C₂³	semidirect
202. #14524029	C₂³	semidirect
203. #14524029	C₂³	semidirect
204. #14524028	C₂³	semidirect
205. #14524028	C₂³	semidirect
206. #14524028	C₂³	semidirect
207. #14524028	C₂³	semidirect
208. #14524027	C₂³	semidirect
209. #14524027	C₂³	semidirect
210. #14524026	C₂³	semidirect
211. #14524025	C₂³	semidirect
212. #14524025	C₂³	semidirect
214. #14524023	C₂³	semidirect
215. #14524022	C₂³	semidirect
216. #14524022	C₂³	semidirect
217. #14524022	C₂³	semidirect
218. #14524021	C₂³	semidirect
219. #14524019	C₂³	semidirect
220. #14524018	C₂³	semidirect
224. #14524017	C₂³	semidirect
225. #14524017	C₂³	semidirect
226. #14524017	C₂³	semidirect
227. #14524017	C₂³	semidirect
228. #14524017	C₂³	semidirect
229. #14524017	C₂³	semidirect
230. #14524017	C₂³	semidirect
231. #14524017	C₂³	semidirect
232. #14524016	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. #14524014	C₂³	semidirect
242. #14524014	C₂³	semidirect
244. #14524013	C₂³	semidirect
245. #14524012	C₂³	semidirect
246. #14524011	C₂³	semidirect
247. #14524011	C₂³	semidirect
248. #14524011	C₂³	semidirect
249. #14524011	C₂³	semidirect
250. C₄×Dic₁₃₄	C₂³	semidirect
251. C₄×D₂₆₈	C₂³	semidirect
252. C₄×D₂₆₈	C₂³	semidirect
253. C₄×D₂₆₈	C₂³	semidirect
254. #14524005	C₂³	semidirect
255. C₄×C₂²⋊D₆₇	C₂³	semidirect
256. C₄×C₂²⋊D₆₇	C₂³	semidirect
257. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
258. #14524002	C₂³	semidirect
259. #14524002	C₂³	semidirect
260. #14524001	C₂³	semidirect
261. #14523999	C₂³	semidirect
269. C₂×C₄⋊Dic₆₇	C₂³	semidirect
270. C₂×C₄⋊Dic₆₇	C₂³	semidirect
296. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
297. C₂²⋊C₄×D₆₇	C₂³	semidirect
298. C₂²⋊C₄×D₆₇	C₂³	semidirect
304. C₂×#41×C₆₇	C₂³	semidirect
322. C₂³×C₄×C₆₇	C₂³	semidirect
323. #123×C₆₇	C₂³	semidirect
324. #123×C₆₇	C₂³	semidirect
325. C₂²⋊Q₈×C₆₇	C₂³	semidirect
326. C₂²⋊Q₈×C₆₇	C₂³	semidirect
328. #121×C₆₇	C₂³	semidirect
330. #120×C₆₇	C₂³	semidirect
332. C₄×D₄×C₆₇	C₂³	semidirect
333. C₄×D₄×C₆₇	C₂³	semidirect
334. C₄×D₄×C₆₇	C₂³	semidirect
335. #117×C₆₇	C₂³	semidirect
715. C₂×C₆₇	#3542	semidirect
744. C₂×#525	D₆₇	semidirect
746. C₆₇	C₂×#3542	semidirect
750. C₂²×#41	C₂×D₆₇	semidirect
755. C₂⁴×C₄	C₂×D₆₇	semidirect
791. #525	C₂×D₆₇	semidirect
802. C₂×#123	C₂×D₆₇	semidirect
803. C₂×#123	C₂×D₆₇	semidirect
810. C₂×C₂²⋊Q₈	C₂×D₆₇	semidirect
811. C₂×C₂²⋊Q₈	C₂×D₆₇	semidirect
837. C₂×#121	C₂×D₆₇	semidirect
846. C₂×#120	C₂×D₆₇	semidirect
856. C₂×C₄×D₄	C₂×D₆₇	semidirect
857. C₂×C₄×D₄	C₂×D₆₇	semidirect
858. C₂×C₄×D₄	C₂×D₆₇	semidirect
863. C₂×#117	C₂×D₆₇	semidirect
879. C₂×#41	C₂²×D₆₇	semidirect
932. C₂³×C₄	C₂²×D₆₇	semidirect
957. #123	C₂²×D₆₇	semidirect
958. #123	C₂²×D₆₇	semidirect
965. C₂²⋊Q₈	C₂²×D₆₇	semidirect
966. C₂²⋊Q₈	C₂²×D₆₇	semidirect
991. #121	C₂²×D₆₇	semidirect
1000. #120	C₂²×D₆₇	semidirect
1010. C₄×D₄	C₂²×D₆₇	semidirect
1011. C₄×D₄	C₂²×D₆₇	semidirect
1012. C₄×D₄	C₂²×D₆₇	semidirect
1017. #117	C₂²×D₆₇	semidirect
1439. C₂	#22574525	direct (N × H)

Maximal subgroups

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

subgroup	index
#22574525	2
C₂×#16864142	2
C₂×#16864134	2
C₂×#16864111	2
C₂×#16864092	2
C₂×#16864086	2
C₂×#16864073	2
C₂×#16864067	2
C₂×#16864050	2
C₂×#16864042	2
C₂×#16864035	2
C₂×D₄×D₂₆₈	2
C₂×#16864017	2
C₂×#16864001	2
C₂×#16863998	2
C₂×#16863982	2
C₂×#16863974	2
C₂×#16863961	2
C₂×#16863960	2
C₂×#16863956	2
C₂×#16863907	2
C₂²×#14524017	2
C₂×#525×C₆₇	2
C₂×#3542	67

Subgroups — C2×#22574525 #31762964

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#22574525 #31762964