Subgroups — C₂×#22574501 #31762993

Order 17152.

7258 conjugacy classes of subgroups.

The subgroup lattice has 1960 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22574501	C₂	1	32	yes	maximal, direct product factor
2	C₂×#16864150	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#16864147	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#16864143	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#16864142	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#16864113	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#16864102	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#16864102	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#16864101	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#16864097	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#16864096	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#16864091	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#16864078	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#16864059	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#16864056	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#16864055	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#16864047	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#16864016	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#16864014	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#16864011	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#16864003	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#16863989	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#16863985	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#16863982	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#16863982	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#16863978	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#16863975	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#16863968	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#16863905	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#16863904	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₂²⋊Q₈×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#539×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
33	C₂²×#11761628	C₂²	1	1	yes	characteristic
34	C₂²×#11761628	C₂²	1	1	yes	characteristic, complemented
35	C₂²×#11761627	C₂²	1	1	yes	characteristic
36	C₂³×Dic₁₃₄	C₂²	1	1	yes	characteristic, complemented
37	C₂²×Q₈×D₆₇	C₂²	1	1	yes	characteristic
38	C₂³×C₄×D₆₇	C₂²	1	1	yes	characteristic
39	#16864150	C₂²	1	16	yes	complemented
40	#16864147	C₂²	1	16	yes	complemented
41	#16864143	C₂²	1	16	yes	complemented
42	#16864142	C₂²	1	16	yes	complemented
43	#16864113	C₂²	1	16	yes	complemented
44	#16864102	C₂²	1	16	yes	complemented
45	#16864102	C₂²	1	16	yes	complemented
46	#16864101	C₂²	1	16	yes	complemented
47	#16864097	C₂²	1	16	yes	complemented
48	#16864096	C₂²	1	16	yes	complemented
49	#16864091	C₂²	1	16	yes	complemented
50	#16864078	C₂²	1	16	yes	complemented
51	#16864059	C₂²	1	16	yes	complemented
52	#16864056	C₂²	1	16	yes	complemented
53	#16864055	C₂²	1	16	yes	complemented
54	#16864047	C₂²	1	16	yes	complemented
55	#16864016	C₂²	1	16	yes	complemented
56	#16864014	C₂²	1	16	yes	complemented
57	#16864011	C₂²	1	16	yes	complemented
58	#16864003	C₂²	1	16	yes	complemented
59	#16863989	C₂²	1	16	yes	complemented
60	#16863985	C₂²	1	16	yes	complemented
61	#16863982	C₂²	1	16	yes	complemented
62	#16863982	C₂²	1	16	yes	complemented
63	#16863978	C₂²	1	16	yes	complemented
64	#16863975	C₂²	1	16	yes	complemented
65	#16863968	C₂²	1	16	yes	complemented
66	C₂×#14524042	C₂²	1	1	yes	characteristic, complemented
67	C₂×#14524042	C₂²	1	1	yes	characteristic, complemented
68	C₂×#14524042	C₂²	1	1	yes	characteristic, complemented
69	C₂×#14524042	C₂²	1	1	yes	characteristic, complemented
70	C₂×#14524042	C₂²	1	1	yes	characteristic, complemented
71	C₂×#14524041	C₂²	1	1	yes	characteristic, complemented
72	C₂×#14524038	C₂²	1	1	yes	characteristic
73	C₂×#14524038	C₂²	1	1	yes	characteristic
74	C₂×#14524038	C₂²	1	1	yes	characteristic
75	C₂×#14524038	C₂²	1	1	yes	characteristic
76	C₂×#14524038	C₂²	1	1	yes	characteristic, complemented
77	C₂×#14524038	C₂²	1	1	yes	characteristic, complemented
78	C₂×#14524036	C₂²	1	1	yes	characteristic
79	C₂×#14524036	C₂²	1	1	yes	characteristic
80	C₂×#14524036	C₂²	1	1	yes	characteristic
81	C₂×#14524036	C₂²	1	1	yes	characteristic, complemented
82	C₂×#14524036	C₂²	1	1	yes	characteristic, complemented
83	C₂×#14524036	C₂²	1	1	yes	characteristic, complemented
84	C₂×#14524035	C₂²	1	1	yes	characteristic, complemented
85	C₂×#14524034	C₂²	1	1	yes	characteristic, complemented
86	C₂×#14524034	C₂²	1	1	yes	characteristic, complemented
87	C₂×#14524033	C₂²	1	1	yes	characteristic, complemented
88	C₂×#14524033	C₂²	1	1	yes	characteristic, complemented
89	C₂×#14524033	C₂²	1	1	yes	characteristic, complemented
90	C₂×#14524033	C₂²	1	1	yes	characteristic, complemented
91	C₂×#14524032	C₂²	1	1	yes	characteristic, complemented
92	C₂×#14524031	C₂²	1	1	yes	characteristic
93	C₂×#14524030	C₂²	1	1	yes	characteristic
94	C₂×#14524029	C₂²	1	1	yes	characteristic
95	C₂×#14524029	C₂²	1	1	yes	characteristic
96	C₂×#14524029	C₂²	1	1	yes	characteristic
97	C₂×#14524029	C₂²	1	1	yes	characteristic
98	C₂×#14524029	C₂²	1	1	yes	characteristic
99	C₂×#14524029	C₂²	1	1	yes	characteristic
100	C₂×#14524029	C₂²	1	1	yes	characteristic, complemented
101	C₂×#14524029	C₂²	1	1	yes	characteristic, complemented
102	#16863905	C₂²	1	16	yes	complemented
103	#16863904	C₂²	1	16	yes	complemented
104	C₂×#14524028	C₂²	1	1	yes	characteristic
105	C₂×#14524028	C₂²	1	1	yes	characteristic
106	C₂×#14524028	C₂²	1	1	yes	characteristic
107	C₂×#14524028	C₂²	1	1	yes	characteristic
108	C₂×#14524028	C₂²	1	1	yes	characteristic, complemented
109	C₂×#14524027	C₂²	1	1	yes	characteristic, complemented
110	C₂×#14524026	C₂²	1	1	yes	characteristic
111	C₂×#14524026	C₂²	1	1	yes	characteristic
112	C₂×#14524026	C₂²	1	1	yes	characteristic, complemented
113	C₂×#14524026	C₂²	1	1	yes	characteristic, complemented
114	C₂×#14524025	C₂²	1	1	yes	characteristic
115	C₂×#14524025	C₂²	1	1	yes	characteristic
116	C₂×#14524025	C₂²	1	1	yes	characteristic, complemented
117	C₂×#14524024	C₂²	1	1	yes	characteristic
118	C₂×#14524023	C₂²	1	1	yes	characteristic
119	C₂×#14524023	C₂²	1	1	yes	characteristic
120	C₂×#14524023	C₂²	1	1	yes	characteristic
121	C₂×#14524023	C₂²	1	1	yes	characteristic, complemented
122	C₂×#14524023	C₂²	1	1	yes	characteristic, complemented
123	C₂×#14524022	C₂²	1	1	yes	characteristic
124	C₂×#14524022	C₂²	1	1	yes	characteristic, complemented
125	C₂×#14524022	C₂²	1	1	yes	characteristic, complemented
126	C₂×#14524022	C₂²	1	1	yes	characteristic, complemented
127	C₂×#14524021	C₂²	1	1	yes	characteristic
128	C₂×#14524021	C₂²	1	1	yes	characteristic
129	C₂×#14524021	C₂²	1	1	yes	characteristic
130	C₂×#14524021	C₂²	1	1	yes	characteristic
131	C₂×#14524021	C₂²	1	1	yes	characteristic
132	C₂×#14524021	C₂²	1	1	yes	characteristic
133	C₂×#14524021	C₂²	1	1	yes	characteristic
134	C₂×#14524021	C₂²	1	1	yes	characteristic, complemented
135	C₂×#14524021	C₂²	1	1	yes	characteristic, complemented
136	C₂×#14524021	C₂²	1	1	yes	characteristic, complemented
137	C₂×#14524021	C₂²	1	1	yes	characteristic, complemented
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
143	C₂×#14524020	C₂²	1	1	yes	characteristic, complemented
144	C₂×#14524020	C₂²	1	1	yes	characteristic, complemented
145	C₂×#14524019	C₂²	1	1	yes	characteristic
146	C₂²⋊Q₈×D₆₇	C₂²	1	16	yes	complemented
147	C₂×#14524018	C₂²	1	1	yes	characteristic
148	C₂×#14524018	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
157	C₂×#14524016	C₂²	1	1	yes	characteristic, complemented
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
163	C₂×#14524014	C₂²	1	1	yes	characteristic
164	C₂×#14524014	C₂²	1	1	yes	characteristic, complemented
165	C₂×#14524013	C₂²	1	1	yes	characteristic
166	C₂×#14524013	C₂²	1	1	yes	characteristic
167	C₂×#14524011	C₂²	1	1	yes	characteristic
168	C₂×#14524011	C₂²	1	1	yes	characteristic
169	C₂×C₄×Dic₁₃₄	C₂²	1	1	yes	characteristic, complemented
170	C₂×C₄×Dic₁₃₄	C₂²	1	1	yes	characteristic, complemented
171	C₂×#14524008	C₂²	1	1	yes	characteristic, complemented
172	C₂×#14524008	C₂²	1	1	yes	characteristic, complemented
173	C₂×#14524008	C₂²	1	1	yes	characteristic, complemented
174	C₂×C₄×D₂₆₈	C₂²	1	1	yes	characteristic
175	C₂×C₄×D₂₆₈	C₂²	1	1	yes	characteristic
176	C₂×#14524005	C₂²	1	1	yes	characteristic
177	C₂×#14524005	C₂²	1	1	yes	characteristic
178	C₂×#14524005	C₂²	1	1	yes	characteristic
179	C₂×#14524005	C₂²	1	1	yes	characteristic
180	C₂×#14524005	C₂²	1	1	yes	characteristic
181	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic
182	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic
183	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic
184	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic
185	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic
186	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic, complemented
187	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic
188	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic
189	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic
190	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
191	C₂×#14524001	C₂²	1	1	yes	characteristic, complemented
192	C₂×#14524000	C₂²	1	1	yes	characteristic
193	C₂×#14524000	C₂²	1	1	yes	characteristic, complemented
194	C₂×#14523999	C₂²	1	1	yes	characteristic
195	C₂×#14523999	C₂²	1	1	yes	characteristic, complemented
196	C₂×C₄⋊C₄×D₆₇	C₂²	1	1	yes	characteristic
197	C₂×C₄⋊C₄×D₆₇	C₂²	1	1	yes	characteristic
198	C₂×C₄⋊C₄×D₆₇	C₂²	1	1	yes	characteristic
199	C₂×C₄⋊C₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
200	C₂×C₄⋊C₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
201	C₂×C₂²⋊C₄×D₆₇	C₂²	1	1	yes	characteristic
202	C₂×C₂²⋊C₄×D₆₇	C₂²	1	1	yes	characteristic
203	#539×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×#125×C₆₇	C₂²	1	1	yes	characteristic, complemented
208	C₂×#123×C₆₇	C₂²	1	1	yes	characteristic
209	C₂×#123×C₆₇	C₂²	1	1	yes	characteristic
210	C₂×#123×C₆₇	C₂²	1	1	yes	characteristic
211	C₂×#123×C₆₇	C₂²	1	1	yes	characteristic, complemented
212	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic
213	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
214	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
215	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic
216	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic
217	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
218	C₂²×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
219	C₂⁴×D₆₇	C₂³	1	1	yes	characteristic
220	C₂×#11761628	—	4	4	no	—
221	C₂×#11761628	—	4	4	no	—
222	C₂×#11761628	C₂³	1	8	yes	—
223	C₂×#11761628	C₂³	1	8	yes	complemented
224	C₂×#11761627	—	4	4	no	—
225	C₂×#11761627	C₂³	1	8	yes	—
226	C₂²×Dic₁₃₄	—	4	4	no	—
227	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic
228	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic
229	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic
230	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic
231	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic
232	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic
233	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic
234	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic
235	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic
236	C₂²×Dic₁₃₄	C₂³	1	8	yes	complemented
237	C₂×Q₈×D₆₇	—	4	4	no	—
238	C₂×Q₈×D₆₇	C₂³	1	8	yes	—
239	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
240	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
241	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
242	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
243	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
244	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
245	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
246	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
247	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
248	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
249	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
250	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
251	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
252	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
253	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
254	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
255	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
256	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
257	C₂²×C₄×D₆₇	—	4	4	no	—
258	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
259	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
260	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
261	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
262	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
263	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
264	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
265	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
266	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
267	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
268	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
269	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
270	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
271	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
272	C₂²×C₄×D₆₇	C₂³	1	8	yes	—
273	#14524042	C₂³	1	8	yes	complemented
274	#14524042	C₂³	1	8	yes	complemented
275	#14524042	C₂³	1	8	yes	complemented
276	#14524042	C₂³	1	8	yes	complemented
277	#14524042	C₂³	1	8	yes	complemented
278	#14524041	C₂³	1	8	yes	complemented
279	#14524038	C₂³	1	8	yes	—
280	#14524038	C₂³	1	8	yes	—
281	#14524038	C₂³	1	8	yes	—
282	#14524038	C₂³	1	8	yes	—
283	#14524038	C₂³	1	8	yes	complemented
284	#14524038	C₂³	1	8	yes	complemented
285	#14524036	C₂³	1	8	yes	—
286	#14524036	C₂³	1	8	yes	—
287	#14524036	C₂³	1	8	yes	—
288	#14524036	C₂³	1	8	yes	complemented
289	#14524036	C₂³	1	8	yes	complemented
290	#14524036	C₂³	1	8	yes	complemented
291	#14524035	C₂³	1	8	yes	complemented
292	#14524034	C₂³	1	8	yes	complemented
293	#14524034	C₂³	1	8	yes	complemented
294	#14524033	C₂³	1	8	yes	complemented
295	#14524033	C₂³	1	8	yes	complemented
296	#14524033	C₂³	1	8	yes	complemented
297	#14524033	C₂³	1	8	yes	complemented
298	#14524032	C₂³	1	8	yes	complemented
299	#14524031	C₂³	1	8	yes	—
300	#14524030	C₂³	1	8	yes	—
301	#14524029	C₂³	1	8	yes	—
302	#14524029	C₂³	1	8	yes	—
303	#14524029	C₂³	1	8	yes	—
304	#14524029	C₂³	1	8	yes	—
305	#14524029	C₂³	1	8	yes	—
306	#14524029	C₂³	1	8	yes	—
307	#14524029	C₂³	1	8	yes	complemented
308	#14524029	C₂³	1	8	yes	complemented
309	#14524028	C₂³	1	8	yes	—
310	#14524028	C₂³	1	8	yes	—
311	#14524028	C₂³	1	8	yes	—
312	#14524028	C₂³	1	8	yes	—
313	#14524028	C₂³	1	8	yes	complemented
314	#14524027	C₂³	1	8	yes	complemented
315	#14524026	C₂³	1	8	yes	—
316	#14524026	C₂³	1	8	yes	—
317	#14524026	C₂³	1	8	yes	complemented
318	#14524026	C₂³	1	8	yes	complemented
319	#14524025	C₂³	1	8	yes	—
320	#14524025	C₂³	1	8	yes	—
321	#14524025	C₂³	1	8	yes	complemented
322	#14524024	C₂³	1	8	yes	—
323	#14524023	C₂³	1	8	yes	—
324	#14524023	C₂³	1	8	yes	—
325	#14524023	C₂³	1	8	yes	—
326	#14524023	C₂³	1	8	yes	complemented
327	#14524023	C₂³	1	8	yes	complemented
328	#14524022	C₂³	1	8	yes	—
329	#14524022	C₂³	1	8	yes	complemented
330	#14524022	C₂³	1	8	yes	complemented
331	#14524022	C₂³	1	8	yes	complemented
332	#14524021	C₂³	1	8	yes	—
333	#14524021	C₂³	1	8	yes	—
334	#14524021	C₂³	1	8	yes	—
335	#14524021	C₂³	1	8	yes	—
336	#14524021	C₂³	1	8	yes	—
337	#14524021	C₂³	1	8	yes	—
338	#14524021	C₂³	1	8	yes	—
339	#14524021	C₂³	1	8	yes	complemented
340	#14524021	C₂³	1	8	yes	complemented
341	#14524021	C₂³	1	8	yes	complemented
342	#14524021	C₂³	1	8	yes	complemented
343	#14524021	C₂³	1	8	yes	complemented
344	#14524021	C₂³	1	8	yes	complemented
345	#14524020	C₂³	1	8	yes	—
346	#14524020	C₂³	1	8	yes	—
347	#14524020	C₂³	1	8	yes	—
348	#14524020	C₂³	1	8	yes	complemented
349	#14524020	C₂³	1	8	yes	complemented
350	#14524019	C₂³	1	8	yes	—
351	#14524018	C₂³	1	8	yes	—
352	#14524018	C₂³	1	8	yes	—
353	#14524017	C₂³	1	8	yes	—
354	#14524017	C₂³	1	8	yes	—
355	#14524016	C₂³	1	8	yes	—
356	#14524016	C₂³	1	8	yes	—
357	#14524016	C₂³	1	8	yes	—
358	#14524016	C₂³	1	8	yes	—
359	#14524016	C₂³	1	8	yes	—
360	#14524016	C₂³	1	8	yes	—
361	#14524016	C₂³	1	8	yes	complemented
362	#14524015	C₂³	1	8	yes	—
363	#14524015	C₂³	1	8	yes	—
364	#14524015	C₂³	1	8	yes	complemented
365	#14524014	C₂³	1	8	yes	—
366	#14524014	C₂³	1	8	yes	—
367	#14524014	C₂³	1	8	yes	—
368	#14524014	C₂³	1	8	yes	complemented
369	#14524013	C₂³	1	8	yes	—
370	#14524013	C₂³	1	8	yes	—
371	#14524011	C₂³	1	8	yes	—
372	#14524011	C₂³	1	8	yes	—
373	C₄×Dic₁₃₄	C₂³	1	8	yes	complemented
374	C₄×Dic₁₃₄	C₂³	1	8	yes	complemented
375	#14524008	C₂³	1	8	yes	complemented
376	#14524008	C₂³	1	8	yes	complemented
377	#14524008	C₂³	1	8	yes	complemented
378	C₄×D₂₆₈	C₂³	1	8	yes	—
379	C₄×D₂₆₈	C₂³	1	8	yes	—
380	#14524005	C₂³	1	8	yes	—
381	#14524005	C₂³	1	8	yes	—
382	#14524005	C₂³	1	8	yes	—
383	#14524005	C₂³	1	8	yes	—
384	#14524005	C₂³	1	8	yes	—
385	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	—
386	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	—
387	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	—
388	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	—
389	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	—
390	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	complemented
391	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	—
392	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	—
393	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	—
394	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	complemented
395	#14524001	C₂³	1	8	yes	complemented
396	#14524000	C₂³	1	8	yes	—
397	#14524000	C₂³	1	8	yes	complemented
398	#14523999	C₂³	1	8	yes	—
399	#14523999	C₂³	1	8	yes	complemented
400	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
401	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
402	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
403	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
404	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
405	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
406	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
407	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
408	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
409	C₂×C₄⋊Dic₆₇	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	1	yes	characteristic
426	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
427	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
428	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
429	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
430	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
431	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
432	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
433	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
434	C₄⋊C₄×D₆₇	C₂³	1	8	yes	—
435	C₄⋊C₄×D₆₇	C₂³	1	8	yes	—
436	C₄⋊C₄×D₆₇	C₂³	1	8	yes	—
437	C₄⋊C₄×D₆₇	C₂³	1	8	yes	complemented
438	C₄⋊C₄×D₆₇	C₂³	1	8	yes	complemented
439	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
440	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
441	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
442	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
443	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
444	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
445	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
446	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
447	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
448	C₂×C₂²⋊Dic₆₇	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	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
468	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
469	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
470	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
471	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
472	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
473	C₂²⋊C₄×D₆₇	C₂³	1	8	yes	—
474	C₂²⋊C₄×D₆₇	C₂³	1	8	yes	—
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	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
480	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
481	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
482	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
483	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
484	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
485	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic
486	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
487	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
488	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
489	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
490	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
491	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
492	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
493	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
494	#126×C₆₇	C₂³	1	8	yes	—
495	#126×C₆₇	C₂³	1	8	yes	complemented
496	#125×C₆₇	C₂³	1	8	yes	complemented
497	#125×C₆₇	C₂³	1	8	yes	complemented
498	#123×C₆₇	C₂³	1	8	yes	—
499	#123×C₆₇	C₂³	1	8	yes	—
500	#123×C₆₇	C₂³	1	8	yes	—
501	#123×C₆₇	C₂³	1	8	yes	complemented
502	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	—
503	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	complemented
504	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	complemented
505	#121×C₆₇	C₂³	1	8	yes	—
506	C₄×D₄×C₆₇	C₂³	1	8	yes	—
507	C₄×D₄×C₆₇	C₂³	1	8	yes	complemented
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×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
513	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
514	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
515	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
516	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
517	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
518	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
519	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
520	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
521	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
522	C₂×C₄⋊C₄×C₆₇	C₂³	1	8	yes	complemented
523	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
524	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
525	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
526	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
527	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
528	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
529	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
530	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
531	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
532	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
533	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
534	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
535	C₂³×D₆₇	—	2	4	no	—
536	C₂³×D₆₇	—	4	2	no	—
537	C₂³×D₆₇	—	4	2	no	—
538	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
539	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
540	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
541	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
542	C₂³×D₆₇	C₂⁴	1	4	yes	—
543	#11761628	—	4	16	no	—
544	#11761628	—	4	16	no	—
545	#11761627	—	4	16	no	—
546	C₂×Dic₁₃₄	—	2	4	no	—
547	C₂×Dic₁₃₄	—	2	4	no	—
548	C₂×Dic₁₃₄	—	2	4	no	—
549	C₂×Dic₁₃₄	—	4	16	no	—
550	C₂×Dic₁₃₄	—	4	2	no	—
551	C₂×Dic₁₃₄	—	4	2	no	—
552	C₂×Dic₁₃₄	—	4	2	no	—
553	C₂×Dic₁₃₄	—	4	2	no	—
554	C₂×Dic₁₃₄	—	4	2	no	—
555	C₂×Dic₁₃₄	—	4	2	no	—
556	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
557	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
558	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
559	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
560	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
561	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
562	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
563	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
564	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
565	Q₈×D₆₇	—	4	16	no	—
566	C₂×D₂₆₈	—	2	4	no	—
567	C₂×D₂₆₈	—	2	4	no	—
568	C₂×D₂₆₈	—	4	2	no	—
569	C₂×D₂₆₈	—	4	2	no	—
570	C₂×D₂₆₈	—	4	2	no	—
571	C₂×D₂₆₈	C₂⁴	1	4	yes	—
572	C₂×D₂₆₈	C₂⁴	1	4	yes	—
573	C₂×D₂₆₈	C₂⁴	1	4	yes	—
574	C₂×D₂₆₈	C₂⁴	1	4	yes	—
575	C₂×D₂₆₈	C₂⁴	1	4	yes	—
576	C₂×C₂²⋊D₆₇	—	2	4	no	—
577	C₂×C₂²⋊D₆₇	—	2	4	no	—
578	C₂×C₂²⋊D₆₇	—	2	4	no	—
579	C₂×C₂²⋊D₆₇	—	4	2	no	—
580	C₂×C₂²⋊D₆₇	—	4	2	no	—
581	C₂×C₂²⋊D₆₇	—	4	2	no	—
582	C₂×C₂²⋊D₆₇	—	4	2	no	—
583	C₂×C₂²⋊D₆₇	—	4	2	no	—
584	C₂×C₂²⋊D₆₇	—	4	2	no	—
585	C₂×C₂²⋊D₆₇	—	4	2	no	—
586	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
587	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
588	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
589	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
590	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
591	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
592	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
593	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
594	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
595	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
596	C₂²×Dic₆₇	—	2	4	no	—
597	C₂²×Dic₆₇	—	2	4	no	—
598	C₂²×Dic₆₇	—	4	2	no	—
599	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
600	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
601	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
602	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
603	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
604	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
605	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
606	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
607	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
608	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
609	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
610	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
611	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
612	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
613	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
614	C₂×C₄×D₆₇	—	2	4	no	—
615	C₂×C₄×D₆₇	—	2	4	no	—
616	C₂×C₄×D₆₇	—	2	4	no	—
617	C₂×C₄×D₆₇	—	4	16	no	—
618	C₂×C₄×D₆₇	—	4	2	no	—
619	C₂×C₄×D₆₇	—	4	2	no	—
620	C₂×C₄×D₆₇	—	4	2	no	—
621	C₂×C₄×D₆₇	—	4	2	no	—
622	C₂×C₄×D₆₇	—	4	2	no	—
623	C₂×C₄×D₆₇	—	4	2	no	—
624	C₂×C₄×D₆₇	—	4	2	no	—
625	C₂×C₄×D₆₇	—	4	2	no	—
626	C₂×C₄×D₆₇	—	4	2	no	—
627	C₂×C₄×D₆₇	—	4	2	no	—
628	C₂×C₄×D₆₇	—	4	2	no	—
629	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
630	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
631	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
632	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
633	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
634	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
635	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
636	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
637	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
638	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
639	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
640	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
641	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
642	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
643	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
644	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
645	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
646	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
647	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
648	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
649	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
650	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
651	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
652	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
653	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
654	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
655	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
656	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
657	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
658	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
659	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
660	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
661	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
662	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
663	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
664	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
665	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
666	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
667	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
668	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
669	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
670	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
671	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
672	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
673	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
674	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
675	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
676	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
677	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
678	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
679	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
680	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
681	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
682	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
683	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
684	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
685	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
686	C₂²⋊Dic₆₇	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	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
692	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
693	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
694	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
695	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
696	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
697	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
698	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
699	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
700	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
701	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
702	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
703	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
704	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
705	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
706	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
707	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
708	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
709	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
710	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
711	C₄×Dic₆₇	C₂⁴	1	4	yes	—
712	C₄×Dic₆₇	C₂⁴	1	4	yes	—
713	C₄×Dic₆₇	C₂⁴	1	4	yes	—
714	C₄×Dic₆₇	C₂⁴	1	4	yes	—
715	C₄×Dic₆₇	C₂⁴	1	4	yes	—
716	C₄×Dic₆₇	C₂⁴	1	4	yes	—
717	C₄×Dic₆₇	C₂⁴	1	4	yes	—
718	C₄×Dic₆₇	C₂⁴	1	4	yes	—
719	C₄×Dic₆₇	C₂⁴	1	4	yes	—
720	C₄×Dic₆₇	C₂⁴	1	4	yes	—
721	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
722	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
723	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
724	C₂×Q₈×C₆₇	—	4	2	no	—
725	C₂×Q₈×C₆₇	C₂⁴	1	4	yes	—
726	C₂×D₄×C₆₇	—	4	2	no	—
727	C₂×D₄×C₆₇	—	4	2	no	—
728	C₂×D₄×C₆₇	—	4	2	no	—
729	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
730	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
731	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
732	C₂²×C₄×C₆₇	—	4	2	no	—
733	C₂²×C₄×C₆₇	—	4	2	no	—
734	C₂²×C₄×C₆₇	—	4	2	no	—
735	C₂²×C₄×C₆₇	—	4	2	no	—
736	C₂²×C₄×C₆₇	—	4	2	no	—
737	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
738	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
739	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
740	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
741	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
742	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
743	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
744	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
745	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
746	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
747	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
748	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
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	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
755	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
756	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
757	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
758	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
759	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
760	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
761	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
762	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
763	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
764	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
765	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
766	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
767	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
768	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
769	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
770	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
771	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
772	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
773	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
774	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
775	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
776	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
777	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
778	C₄²×C₆₇	C₂⁴	1	4	yes	—
779	C₄²×C₆₇	C₂⁴	1	4	yes	—
780	C₂³×C₆₇	—	2	2	no	—
781	C₂³×C₆₇	—	2	2	no	—
782	C₂³×C₆₇	—	2	2	no	—
783	C₂³×C₆₇	—	2	2	no	—
784	C₂³×C₆₇	—	2	2	no	—
785	C₂³×C₆₇	—	2	2	no	—
786	C₂³×C₆₇	—	2	2	no	—
787	C₂³×C₆₇	—	2	2	no	—
788	C₂³×C₆₇	—	2	2	no	—
789	C₂³×C₆₇	C₂⁵	1	2	yes	—
790	C₂³×C₆₇	C₂⁵	1	2	yes	—
791	C₂³×C₆₇	C₂⁵	1	2	yes	—
792	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
793	C₂²×D₆₇	—	2	2	no	—
794	C₂²×D₆₇	—	2	2	no	—
795	C₂²×D₆₇	—	2	2	no	—
796	C₂²×D₆₇	—	2	2	no	—
797	C₂²×D₆₇	—	2	2	no	—
798	C₂²×D₆₇	—	2	2	no	—
799	C₂²×D₆₇	—	2	2	no	—
800	C₂²×D₆₇	—	2	2	no	—
801	C₂²×D₆₇	—	2	2	no	—
802	C₂²×D₆₇	—	2	2	no	—
803	C₂²×D₆₇	—	2	2	no	—
804	C₂²×D₆₇	—	2	8	no	—
805	C₂²×D₆₇	—	4	4	no	—
806	C₂²×D₆₇	—	4	4	no	—
807	C₂²×D₆₇	—	4	16	no	—
808	C₂²×D₆₇	2₋¹⁺⁴	1	4	yes	—
809	C₂²×D₆₇	C₂⁵	1	2	yes	—
810	C₂²×D₆₇	C₂⁵	1	2	yes	—
811	C₂²×D₆₇	C₂⁵	1	2	yes	—
812	C₂²×D₆₇	C₂⁵	1	2	yes	—
813	Q₈×C₆₇	—	4	4	no	—
814	D₄×C₆₇	—	4	4	no	—
815	D₄×C₆₇	—	4	4	no	—
816	D₄×C₆₇	—	4	4	no	—
817	C₂×C₄×C₆₇	—	2	2	no	—
818	C₂×C₄×C₆₇	—	2	2	no	—
819	C₂×C₄×C₆₇	—	2	2	no	—
820	C₂×C₄×C₆₇	—	2	2	no	—
821	C₂×C₄×C₆₇	—	2	2	no	—
822	C₂×C₄×C₆₇	—	2	2	no	—
823	C₂×C₄×C₆₇	—	2	2	no	—
824	C₂×C₄×C₆₇	—	2	2	no	—
825	C₂×C₄×C₆₇	—	2	2	no	—
826	C₂×C₄×C₆₇	—	2	2	no	—
827	C₂×C₄×C₆₇	—	2	2	no	—
828	C₂×C₄×C₆₇	—	2	2	no	—
829	C₂×C₄×C₆₇	—	4	4	no	—
830	C₂×C₄×C₆₇	—	4	4	no	—
831	C₂×C₄×C₆₇	—	4	4	no	—
832	C₂×C₄×C₆₇	—	4	4	no	—
833	C₂×C₄×C₆₇	—	4	4	no	—
834	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
835	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
836	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
837	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
838	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
839	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
840	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
841	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
842	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
843	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
844	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
845	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
846	C₂²⋊D₆₇	—	2	8	no	—
847	C₂²⋊D₆₇	—	2	8	no	—
848	C₂²⋊D₆₇	—	2	8	no	—
849	C₂²⋊D₆₇	—	4	4	no	—
850	C₂²⋊D₆₇	—	4	4	no	—
851	C₂²⋊D₆₇	—	4	4	no	—
852	C₂²⋊D₆₇	—	4	4	no	—
853	C₂²⋊D₆₇	—	4	4	no	—
854	C₂²⋊D₆₇	—	4	4	no	—
855	C₂²⋊D₆₇	—	4	4	no	—
856	C₂×Dic₆₇	—	2	2	no	—
857	C₂×Dic₆₇	—	2	2	no	—
858	C₂×Dic₆₇	—	2	2	no	—
859	C₂×Dic₆₇	—	2	2	no	—
860	C₂×Dic₆₇	—	2	2	no	—
861	C₂×Dic₆₇	—	2	2	no	—
862	C₂×Dic₆₇	—	2	2	no	—
863	C₂×Dic₆₇	—	2	2	no	—
864	C₂×Dic₆₇	—	2	2	no	—
865	C₂×Dic₆₇	—	2	2	no	—
866	C₂×Dic₆₇	—	2	2	no	—
867	C₂×Dic₆₇	—	2	8	no	—
868	C₂×Dic₆₇	—	2	8	no	—
869	C₂×Dic₆₇	—	4	4	no	—
870	C₂×Dic₆₇	H(5,𝔽₂)	1	4	yes	—
871	C₂×Dic₆₇	C₂⁵	1	2	yes	—
872	C₂×Dic₆₇	C₂⁵	1	2	yes	—
873	C₂×Dic₆₇	C₂⁵	1	2	yes	—
874	C₂×Dic₆₇	C₂⁵	1	2	yes	—
875	C₂×Dic₆₇	C₂⁵	1	2	yes	—
876	C₂×Dic₆₇	C₂⁵	1	2	yes	—
877	C₂×Dic₆₇	C₂⁵	1	2	yes	—
878	C₂×Dic₆₇	C₂⁵	1	2	yes	—
879	C₂×Dic₆₇	C₂⁵	1	2	yes	—
880	C₂×Dic₆₇	C₂⁵	1	2	yes	—
881	C₂×Dic₆₇	C₂⁵	1	2	yes	—
882	C₂×Dic₆₇	C₂⁵	1	2	yes	—
883	D₂₆₈	—	2	8	no	—
884	D₂₆₈	—	2	8	no	—
885	D₂₆₈	—	4	4	no	—
886	D₂₆₈	—	4	4	no	—
887	D₂₆₈	—	4	4	no	—
888	C₄×D₆₇	—	2	8	no	—
889	C₄×D₆₇	—	2	8	no	—
890	C₄×D₆₇	—	2	8	no	—
891	C₄×D₆₇	—	4	4	no	—
892	C₄×D₆₇	—	4	4	no	—
893	C₄×D₆₇	—	4	4	no	—
894	C₄×D₆₇	—	4	4	no	—
895	C₄×D₆₇	—	4	4	no	—
896	C₄×D₆₇	—	4	4	no	—
897	C₄×D₆₇	—	4	4	no	—
898	C₄×D₆₇	—	4	4	no	—
899	C₄×D₆₇	—	4	4	no	—
900	C₄×D₆₇	—	4	4	no	—
901	C₄×D₆₇	—	4	4	no	—
902	Dic₁₃₄	—	2	8	no	—
903	Dic₁₃₄	—	2	8	no	—
904	Dic₁₃₄	—	2	8	no	—
905	Dic₁₃₄	—	4	4	no	—
906	Dic₁₃₄	—	4	4	no	—
907	Dic₁₃₄	—	4	4	no	—
908	Dic₁₃₄	—	4	4	no	—
909	Dic₁₃₄	—	4	4	no	—
910	Dic₁₃₄	—	4	4	no	—
911	C₂²×C₆₇	—	2	2	no	—
912	C₂²×C₆₇	—	2	2	no	—
913	C₂²×C₆₇	—	2	2	no	—
914	C₂²×C₆₇	—	2	2	no	—
915	C₂²×C₆₇	—	2	2	no	—
916	C₂²×C₆₇	—	2	2	no	—
917	C₂²×C₆₇	—	2	2	no	—
918	C₂²×C₆₇	—	2	2	no	—
919	C₂²×C₆₇	—	2	2	no	—
920	C₂²×C₆₇	—	4	4	no	—
921	C₂²×C₆₇	—	4	4	no	—
922	C₂²×C₆₇	—	4	4	no	—
923	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
924	C₂²×C₆₇	C₂×2₋¹⁺⁴	1	2	yes	—
925	C₂²×C₆₇	#585	1	2	yes	—
926	C₂²×C₆₇	C₂⁶	1	1	yes	characteristic
927	C₂×D₆₇	—	2	2	no	—
928	C₂×D₆₇	—	2	2	no	—
929	C₂×D₆₇	—	2	8	no	—
930	C₂×D₆₇	—	2	2	no	—
931	C₂×D₆₇	—	2	2	no	—
932	C₂×D₆₇	—	2	2	no	—
933	C₂×D₆₇	—	2	2	no	—
934	C₂×D₆₇	—	2	2	no	—
935	C₂×D₆₇	—	2	2	no	—
936	C₂×D₆₇	—	2	2	no	—
937	C₂×D₆₇	—	2	2	no	—
938	C₂×D₆₇	—	2	2	no	—
939	C₂×D₆₇	—	4	16	no	—
940	C₂×D₆₇	—	4	4	no	—
941	C₂×D₆₇	—	4	4	no	—
942	C₂×D₆₇	—	4	4	no	—
943	C₂×D₆₇	C₂×2₋¹⁺⁴	1	4	yes	—
944	C₄×C₆₇	—	2	2	no	—
945	C₄×C₆₇	—	2	2	no	—
946	C₄×C₆₇	—	2	2	no	—
947	C₄×C₆₇	—	2	2	no	—
948	C₄×C₆₇	—	2	2	no	—
949	C₄×C₆₇	—	2	2	no	—
950	C₄×C₆₇	—	2	2	no	—
951	C₄×C₆₇	—	2	2	no	—
952	C₄×C₆₇	—	2	2	no	—
953	C₄×C₆₇	—	2	2	no	—
954	C₄×C₆₇	—	2	2	no	—
955	C₄×C₆₇	—	2	2	no	—
956	Dic₆₇	—	2	2	no	—
957	Dic₆₇	—	2	2	no	—
958	Dic₆₇	—	2	2	no	—
959	Dic₆₇	—	2	2	no	—
960	Dic₆₇	—	2	2	no	—
961	Dic₆₇	—	2	2	no	—
962	Dic₆₇	—	2	2	no	—
963	Dic₆₇	—	2	2	no	—
964	Dic₆₇	—	2	2	no	—
965	Dic₆₇	—	2	2	no	—
966	Dic₆₇	—	2	2	no	—
967	Dic₆₇	C₂×H(5,𝔽₂)	1	4	yes	—
968	C₂×#3541	—	67	1	no	maximal, Sylow
969	C₂×C₆₇	—	4	2	no	—
970	C₂×C₆₇	—	4	2	no	—
971	C₂×C₆₇	—	4	2	no	—
972	C₂×C₆₇	#3541	1	4	yes	complemented
973	C₂×C₆₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
974	C₂×C₆₇	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
975	C₂×C₆₇	C₂×#585	1	1	yes	characteristic
976	D₆₇	—	2	4	no	—
977	D₆₇	—	4	2	no	—
978	D₆₇	—	4	2	no	—
979	D₆₇	—	4	2	no	—
980	#3541	—	67	32	no	—
981	C₂×#563	—	67	1	no	—
982	C₂×#563	—	67	1	no	—
983	C₂×#562	—	67	1	no	—
984	C₂×#562	—	67	1	no	—
985	C₂×#556	—	67	1	no	—
986	C₂×#554	—	67	1	no	—
987	C₂×#554	—	67	1	no	—
988	C₂×#554	—	67	1	no	—
989	C₂×#553	—	67	1	no	—
990	C₂×#553	—	67	1	no	—
991	C₂×#553	—	67	1	no	—
992	C₂×#552	—	67	1	no	—
993	C₂×D₄×Q₈	—	67	1	no	—
994	C₂×#548	—	67	1	no	—
995	C₂×#548	—	67	1	no	—
996	C₂×#547	—	67	1	no	—
997	C₂×#542	—	67	1	no	—
998	C₂×#542	—	67	1	no	—
999	C₂×#542	—	67	1	no	—
1000	C₂×#541	—	67	1	no	—
1001	C₂×#539	—	67	1	no	—
1002	C₂×#539	D₆₇	1	1	yes	characteristic, complemented
1003	C₂×#538	—	67	1	no	—
1004	C₂×#538	—	67	1	no	—
1005	C₂×#538	—	67	1	no	—
1006	C₂×#538	—	67	1	no	—
1007	C₂×#537	—	67	1	no	—
1008	C₂×#536	—	67	1	no	—
1009	C₂×#525	—	67	1	no	—
1010	C₂×#525	—	67	1	no	—
1011	C₂²×C₂²⋊Q₈	—	67	1	no	—
1012	C₆₇	C₂×#3541	1	1	yes	characteristic, complemented, Sylow
1013	C₂²×#41	—	67	1	no	—
1014	C₂²×#41	—	67	1	no	—
1015	C₂²×#41	—	67	1	no	—
1016	C₂³×Q₈	—	67	1	no	—
1017	C₂³×Q₈	—	67	1	no	—
1018	C₂⁴×C₄	—	67	1	no	—
1019	#563	—	67	16	no	—
1020	#563	—	67	16	no	—
1021	#562	—	67	16	no	—
1022	#562	—	67	16	no	—
1023	#556	—	67	16	no	—
1024	#554	—	67	16	no	—
1025	#554	—	67	16	no	—
1026	#554	—	67	16	no	—
1027	#553	—	67	16	no	—
1028	#553	—	67	16	no	—
1029	#553	—	67	16	no	—
1030	#552	—	67	16	no	—
1031	D₄×Q₈	—	67	16	no	—
1032	#548	—	67	16	no	—
1033	#548	—	67	16	no	—
1034	#547	—	67	16	no	—
1035	#542	—	67	16	no	—
1036	#542	—	67	16	no	—
1037	#542	—	67	16	no	—
1038	#541	—	67	16	no	—
1039	#539	—	67	16	no	—
1040	#539	C₂×D₆₇	1	16	yes	complemented
1041	#538	—	67	16	no	—
1042	#538	—	67	16	no	—
1043	#538	—	67	16	no	—
1044	#538	—	67	16	no	—
1045	#537	—	67	16	no	—
1046	#536	—	67	16	no	—
1047	C₂×C₄⋊Q₈	—	67	1	no	—
1048	C₂×C₄⋊Q₈	—	67	1	no	—
1049	C₂×C₄⋊Q₈	—	67	1	no	—
1050	C₂×C₄⋊Q₈	—	67	1	no	—
1051	C₂×C₄⋊Q₈	—	67	1	no	—
1052	C₂×C₄⋊Q₈	—	67	1	no	—
1053	C₂×#126	—	67	1	no	—
1054	C₂×#126	—	67	1	no	—
1055	C₂×#126	—	67	1	no	—
1056	C₂×#126	—	67	1	no	—
1057	C₂×#126	—	67	1	no	—
1058	C₂×#126	—	67	1	no	—
1059	C₂×#126	—	67	1	no	—
1060	C₂×#126	—	67	1	no	—
1061	C₂×#126	—	67	1	no	—
1062	C₂×#126	—	67	1	no	—
1063	C₂×#126	—	67	1	no	—
1064	C₂×#126	—	67	1	no	—
1065	C₂×#126	C₂×D₆₇	1	1	yes	characteristic
1066	C₂×#126	C₂×D₆₇	1	1	yes	characteristic, complemented
1067	C₂×#125	—	67	1	no	—
1068	C₂×#125	—	67	1	no	—
1069	C₂×#125	—	67	1	no	—
1070	C₂×#125	—	67	1	no	—
1071	C₂×#125	—	67	1	no	—
1072	C₂×#125	—	67	1	no	—
1073	C₂×#125	—	67	1	no	—
1074	C₂×#125	C₂×D₆₇	1	1	yes	characteristic, complemented
1075	C₂×#125	C₂×D₆₇	1	1	yes	characteristic, complemented
1076	C₂×#124	—	67	1	no	—
1077	C₂×#124	—	67	1	no	—
1078	C₂×#124	—	67	1	no	—
1079	C₂×#124	—	67	1	no	—
1080	C₂×#124	—	67	1	no	—
1081	C₂×#124	—	67	1	no	—
1082	C₂×#124	—	67	1	no	—
1083	C₂×#124	—	67	1	no	—
1084	C₂×#124	—	67	1	no	—
1085	C₂×#124	—	67	1	no	—
1086	C₂×#124	—	67	1	no	—
1087	#525	—	67	16	no	—
1088	#525	—	67	16	no	—
1089	C₂×#123	—	67	1	no	—
1090	C₂×#123	—	67	1	no	—
1091	C₂×#123	—	67	1	no	—
1092	C₂×#123	—	67	1	no	—
1093	C₂×#123	—	67	1	no	—
1094	C₂×#123	—	67	1	no	—
1095	C₂×#123	—	67	1	no	—
1096	C₂×#123	—	67	1	no	—
1097	C₂×#123	—	67	1	no	—
1098	C₂×#123	—	67	1	no	—
1099	C₂×#123	—	67	1	no	—
1100	C₂×#123	—	67	1	no	—
1101	C₂×#123	—	67	1	no	—
1102	C₂×#123	—	67	1	no	—
1103	C₂×#123	C₂×D₆₇	1	1	yes	characteristic
1104	C₂×#123	C₂×D₆₇	1	1	yes	characteristic
1105	C₂×#123	C₂×D₆₇	1	1	yes	characteristic
1106	C₂×#123	C₂×D₆₇	1	1	yes	characteristic, complemented
1107	C₂×C₂²⋊Q₈	—	67	1	no	—
1108	C₂×C₂²⋊Q₈	—	67	1	no	—
1109	C₂×C₂²⋊Q₈	—	67	1	no	—
1110	C₂×C₂²⋊Q₈	—	67	1	no	—
1111	C₂×C₂²⋊Q₈	—	67	1	no	—
1112	C₂×C₂²⋊Q₈	—	67	16	no	—
1113	C₂×C₂²⋊Q₈	—	67	1	no	—
1114	C₂×C₂²⋊Q₈	—	67	1	no	—
1115	C₂×C₂²⋊Q₈	—	67	1	no	—
1116	C₂×C₂²⋊Q₈	—	67	1	no	—
1117	C₂×C₂²⋊Q₈	—	67	1	no	—
1118	C₂×C₂²⋊Q₈	—	67	1	no	—
1119	C₂×C₂²⋊Q₈	—	67	1	no	—
1120	C₂×C₂²⋊Q₈	—	67	1	no	—
1121	C₂×C₂²⋊Q₈	—	67	1	no	—
1122	C₂×C₂²⋊Q₈	—	67	1	no	—
1123	C₂×C₂²⋊Q₈	—	67	1	no	—
1124	C₂×C₂²⋊Q₈	—	67	1	no	—
1125	C₂×C₂²⋊Q₈	—	67	1	no	—
1126	C₂×C₂²⋊Q₈	—	67	1	no	—
1127	C₂×C₂²⋊Q₈	—	67	1	no	—
1128	C₂×C₂²⋊Q₈	—	67	1	no	—
1129	C₂×C₂²⋊Q₈	—	67	1	no	—
1130	C₂×C₂²⋊Q₈	—	67	1	no	—
1131	C₂×C₂²⋊Q₈	—	67	1	no	—
1132	C₂×C₂²⋊Q₈	—	67	1	no	—
1133	C₂×C₂²⋊Q₈	—	67	1	no	—
1134	C₂×C₂²⋊Q₈	—	67	1	no	—
1135	C₂×C₂²⋊Q₈	—	67	1	no	—
1136	C₂×C₂²⋊Q₈	C₂×D₆₇	1	1	yes	characteristic
1137	C₂×C₂²⋊Q₈	C₂×D₆₇	1	1	yes	characteristic, complemented
1138	C₂×C₂²⋊Q₈	C₂×D₆₇	1	1	yes	characteristic, complemented
1139	C₂×#121	—	67	1	no	—
1140	C₂×#121	—	67	1	no	—
1141	C₂×#121	—	67	1	no	—
1142	C₂×#121	—	67	1	no	—
1143	C₂×#121	—	67	1	no	—
1144	C₂×#121	—	67	1	no	—
1145	C₂×#121	—	67	1	no	—
1146	C₂×#121	—	67	1	no	—
1147	C₂×#121	—	67	1	no	—
1148	C₂×#121	—	67	1	no	—
1149	C₂×#121	—	67	1	no	—
1150	C₂×#121	—	67	1	no	—
1151	C₂×#121	—	67	1	no	—
1152	C₂×#121	—	67	1	no	—
1153	C₂×#121	—	67	1	no	—
1154	C₂×#121	—	67	1	no	—
1155	C₂×#121	—	67	1	no	—
1156	C₂×#121	—	67	1	no	—
1157	C₂×#121	C₂×D₆₇	1	1	yes	characteristic
1158	C₂×#120	—	67	1	no	—
1159	C₂×#120	—	67	1	no	—
1160	C₂×#120	—	67	1	no	—
1161	C₂×#120	—	67	1	no	—
1162	C₂×C₄×Q₈	—	67	1	no	—
1163	C₂×C₄×Q₈	—	67	1	no	—
1164	C₂×C₄×Q₈	—	67	1	no	—
1165	C₂×C₄×Q₈	—	67	1	no	—
1166	C₂×C₄×Q₈	—	67	1	no	—
1167	C₂×C₄×D₄	—	67	1	no	—
1168	C₂×C₄×D₄	—	67	1	no	—
1169	C₂×C₄×D₄	—	67	1	no	—
1170	C₂×C₄×D₄	—	67	1	no	—
1171	C₂×C₄×D₄	—	67	1	no	—
1172	C₂×C₄×D₄	—	67	1	no	—
1173	C₂×C₄×D₄	—	67	1	no	—
1174	C₂×C₄×D₄	—	67	1	no	—
1175	C₂×C₄×D₄	—	67	1	no	—
1176	C₂×C₄×D₄	—	67	1	no	—
1177	C₂×C₄×D₄	—	67	1	no	—
1178	C₂×C₄×D₄	—	67	1	no	—
1179	C₂×C₄×D₄	—	67	1	no	—
1180	C₂×C₄×D₄	—	67	1	no	—
1181	C₂×C₄×D₄	—	67	1	no	—
1182	C₂×C₄×D₄	—	67	1	no	—
1183	C₂×C₄×D₄	—	67	1	no	—
1184	C₂×C₄×D₄	C₂×D₆₇	1	1	yes	characteristic
1185	C₂×C₄×D₄	C₂×D₆₇	1	1	yes	characteristic, complemented
1186	C₂×#117	—	67	1	no	—
1187	C₂×#117	—	67	1	no	—
1188	C₂×#117	—	67	1	no	—
1189	C₂×#117	—	67	1	no	—
1190	C₂×#117	—	67	1	no	—
1191	C₂²×C₄⋊C₄	—	67	1	no	—
1192	C₂²×C₄⋊C₄	—	67	1	no	—
1193	C₂²×C₄⋊C₄	—	67	1	no	—
1194	C₂²×C₄⋊C₄	—	67	1	no	—
1195	C₂²×C₄⋊C₄	—	67	1	no	—
1196	C₂²×C₄⋊C₄	C₂×D₆₇	1	1	yes	characteristic, complemented
1197	C₂²×C₂²⋊C₄	—	67	1	no	—
1198	C₂²×C₂²⋊C₄	—	67	1	no	—
1199	C₂⁵	—	67	1	no	—
1200	C₂×#41	—	268	4	no	—
1201	C₂×#41	—	268	4	no	—
1202	C₂×#41	—	268	4	no	—
1203	C₂×#41	—	67	8	no	—
1204	C₂×#41	—	67	8	no	—
1205	C₂×#41	—	67	8	no	—
1206	C₂²×Q₈	—	268	4	no	—
1207	C₂²×Q₈	—	268	4	no	—
1208	C₂²×Q₈	—	67	8	no	—
1209	C₂²×Q₈	—	67	1	no	—
1210	C₂²×Q₈	—	67	1	no	—
1211	C₂²×Q₈	—	67	1	no	—
1212	C₂²×Q₈	—	67	1	no	—
1213	C₂²×Q₈	—	67	1	no	—
1214	C₂²×Q₈	—	67	1	no	—
1215	C₂²×Q₈	—	67	8	no	—
1216	C₂²×Q₈	—	67	1	no	—
1217	C₂²×Q₈	—	67	1	no	—
1218	C₂²×Q₈	—	67	1	no	—
1219	C₂²×Q₈	C₂²×D₆₇	1	1	yes	characteristic
1220	C₂²×D₄	—	67	1	no	—
1221	C₂²×D₄	—	67	1	no	—
1222	C₂²×D₄	—	67	1	no	—
1223	C₂²×D₄	—	67	1	no	—
1224	C₂²×D₄	—	67	1	no	—
1225	C₂²×D₄	—	67	1	no	—
1226	C₂²×D₄	—	67	1	no	—
1227	C₂²×D₄	—	67	1	no	—
1228	C₂²×D₄	—	67	1	no	—
1229	C₂²×D₄	—	67	1	no	—
1230	C₂²×D₄	—	67	1	no	—
1231	C₂²×D₄	—	67	1	no	—
1232	C₂²×D₄	—	67	1	no	—
1233	C₂²×D₄	—	67	1	no	—
1234	C₂²×D₄	—	67	1	no	—
1235	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1236	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1237	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1238	C₂³×C₄	—	268	4	no	—
1239	C₂³×C₄	—	67	1	no	—
1240	C₂³×C₄	—	67	1	no	—
1241	C₂³×C₄	—	67	1	no	—
1242	C₂³×C₄	—	67	1	no	—
1243	C₂³×C₄	—	67	1	no	—
1244	C₂³×C₄	—	67	1	no	—
1245	C₂³×C₄	—	67	1	no	—
1246	C₂³×C₄	—	67	1	no	—
1247	C₂³×C₄	—	67	1	no	—
1248	C₂³×C₄	—	67	1	no	—
1249	C₂³×C₄	—	67	1	no	—
1250	C₂³×C₄	—	67	1	no	—
1251	C₂³×C₄	—	67	8	no	—
1252	C₂³×C₄	—	67	1	no	—
1253	C₂³×C₄	—	67	1	no	—
1254	C₂³×C₄	—	67	1	no	—
1255	C₂³×C₄	—	67	1	no	—
1256	C₂³×C₄	—	67	1	no	—
1257	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1258	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1259	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1260	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1261	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1262	C₄⋊Q₈	—	67	8	no	—
1263	C₄⋊Q₈	—	67	8	no	—
1264	C₄⋊Q₈	—	67	8	no	—
1265	C₄⋊Q₈	—	67	8	no	—
1266	C₄⋊Q₈	—	67	8	no	—
1267	C₄⋊Q₈	—	67	8	no	—
1268	#126	—	67	8	no	—
1269	#126	—	67	8	no	—
1270	#126	—	67	8	no	—
1271	#126	—	67	8	no	—
1272	#126	—	67	8	no	—
1273	#126	—	67	8	no	—
1274	#126	—	67	8	no	—
1275	#126	—	67	8	no	—
1276	#126	—	67	8	no	—
1277	#126	—	67	8	no	—
1278	#126	—	67	8	no	—
1279	#126	—	67	8	no	—
1280	#126	C₂²×D₆₇	1	8	yes	—
1281	#126	C₂²×D₆₇	1	8	yes	complemented
1282	#125	—	67	8	no	—
1283	#125	—	67	8	no	—
1284	#125	—	67	8	no	—
1285	#125	—	67	8	no	—
1286	#125	—	67	8	no	—
1287	#125	—	67	8	no	—
1288	#125	—	67	8	no	—
1289	#125	C₂²×D₆₇	1	8	yes	complemented
1290	#125	C₂²×D₆₇	1	8	yes	complemented
1291	#124	—	67	8	no	—
1292	#124	—	67	8	no	—
1293	#124	—	67	8	no	—
1294	#124	—	67	8	no	—
1295	#124	—	67	8	no	—
1296	#124	—	67	8	no	—
1297	#124	—	67	8	no	—
1298	#124	—	67	8	no	—
1299	#124	—	67	8	no	—
1300	#124	—	67	8	no	—
1301	#124	—	67	8	no	—
1302	#123	—	67	8	no	—
1303	#123	—	67	8	no	—
1304	#123	—	67	8	no	—
1305	#123	—	67	8	no	—
1306	#123	—	67	8	no	—
1307	#123	—	67	8	no	—
1308	#123	—	67	8	no	—
1309	#123	—	67	8	no	—
1310	#123	—	67	8	no	—
1311	#123	—	67	8	no	—
1312	#123	—	67	8	no	—
1313	#123	—	67	8	no	—
1314	#123	—	67	8	no	—
1315	#123	—	67	8	no	—
1316	#123	C₂²×D₆₇	1	8	yes	—
1317	#123	C₂²×D₆₇	1	8	yes	—
1318	#123	C₂²×D₆₇	1	8	yes	—
1319	#123	C₂²×D₆₇	1	8	yes	complemented
1320	C₂²⋊Q₈	—	67	8	no	—
1321	C₂²⋊Q₈	—	67	8	no	—
1322	C₂²⋊Q₈	—	67	8	no	—
1323	C₂²⋊Q₈	—	67	8	no	—
1324	C₂²⋊Q₈	—	67	8	no	—
1325	C₂²⋊Q₈	—	67	8	no	—
1326	C₂²⋊Q₈	—	67	8	no	—
1327	C₂²⋊Q₈	—	67	8	no	—
1328	C₂²⋊Q₈	—	67	8	no	—
1329	C₂²⋊Q₈	—	67	8	no	—
1330	C₂²⋊Q₈	—	67	8	no	—
1331	C₂²⋊Q₈	—	67	8	no	—
1332	C₂²⋊Q₈	—	67	8	no	—
1333	C₂²⋊Q₈	—	67	8	no	—
1334	C₂²⋊Q₈	—	67	8	no	—
1335	C₂²⋊Q₈	—	67	8	no	—
1336	C₂²⋊Q₈	—	67	8	no	—
1337	C₂²⋊Q₈	—	67	8	no	—
1338	C₂²⋊Q₈	—	67	8	no	—
1339	C₂²⋊Q₈	—	67	8	no	—
1340	C₂²⋊Q₈	—	67	8	no	—
1341	C₂²⋊Q₈	—	67	8	no	—
1342	C₂²⋊Q₈	—	67	8	no	—
1343	C₂²⋊Q₈	—	67	8	no	—
1344	C₂²⋊Q₈	—	67	8	no	—
1345	C₂²⋊Q₈	—	67	8	no	—
1346	C₂²⋊Q₈	—	67	8	no	—
1347	C₂²⋊Q₈	—	67	8	no	—
1348	C₂²⋊Q₈	C₂²×D₆₇	1	8	yes	—
1349	C₂²⋊Q₈	C₂²×D₆₇	1	8	yes	complemented
1350	C₂²⋊Q₈	C₂²×D₆₇	1	8	yes	complemented
1351	#121	—	67	8	no	—
1352	#121	—	67	8	no	—
1353	#121	—	67	8	no	—
1354	#121	—	67	8	no	—
1355	#121	—	67	8	no	—
1356	#121	—	67	8	no	—
1357	#121	—	67	8	no	—
1358	#121	—	67	8	no	—
1359	#121	—	67	8	no	—
1360	#121	—	67	8	no	—
1361	#121	—	67	8	no	—
1362	#121	—	67	8	no	—
1363	#121	—	67	8	no	—
1364	#121	—	67	8	no	—
1365	#121	—	67	8	no	—
1366	#121	—	67	8	no	—
1367	#121	—	67	8	no	—
1368	#121	—	67	8	no	—
1369	#121	C₂²×D₆₇	1	8	yes	—
1370	#120	—	67	8	no	—
1371	#120	—	67	8	no	—
1372	#120	—	67	8	no	—
1373	#120	—	67	8	no	—
1374	C₄×Q₈	—	67	8	no	—
1375	C₄×Q₈	—	67	8	no	—
1376	C₄×Q₈	—	67	8	no	—
1377	C₄×Q₈	—	67	8	no	—
1378	C₄×Q₈	—	67	8	no	—
1379	C₄×D₄	—	67	8	no	—
1380	C₄×D₄	—	67	8	no	—
1381	C₄×D₄	—	67	8	no	—
1382	C₄×D₄	—	67	8	no	—
1383	C₄×D₄	—	67	8	no	—
1384	C₄×D₄	—	67	8	no	—
1385	C₄×D₄	—	67	8	no	—
1386	C₄×D₄	—	67	8	no	—
1387	C₄×D₄	—	67	8	no	—
1388	C₄×D₄	—	67	8	no	—
1389	C₄×D₄	—	67	8	no	—
1390	C₄×D₄	—	67	8	no	—
1391	C₄×D₄	—	67	8	no	—
1392	C₄×D₄	—	67	8	no	—
1393	C₄×D₄	—	67	8	no	—
1394	C₄×D₄	—	67	8	no	—
1395	C₄×D₄	—	67	8	no	—
1396	C₄×D₄	C₂²×D₆₇	1	8	yes	—
1397	C₄×D₄	C₂²×D₆₇	1	8	yes	complemented
1398	#117	—	67	8	no	—
1399	#117	—	67	8	no	—
1400	#117	—	67	8	no	—
1401	#117	—	67	8	no	—
1402	#117	—	67	8	no	—
1403	C₂×C₄⋊C₄	—	67	1	no	—
1404	C₂×C₄⋊C₄	—	67	1	no	—
1405	C₂×C₄⋊C₄	—	67	1	no	—
1406	C₂×C₄⋊C₄	—	67	1	no	—
1407	C₂×C₄⋊C₄	—	67	1	no	—
1408	C₂×C₄⋊C₄	—	67	1	no	—
1409	C₂×C₄⋊C₄	—	67	1	no	—
1410	C₂×C₄⋊C₄	—	67	1	no	—
1411	C₂×C₄⋊C₄	—	67	1	no	—
1412	C₂×C₄⋊C₄	—	67	1	no	—
1413	C₂×C₄⋊C₄	—	67	1	no	—
1414	C₂×C₄⋊C₄	—	67	1	no	—
1415	C₂×C₄⋊C₄	—	67	1	no	—
1416	C₂×C₄⋊C₄	—	67	1	no	—
1417	C₂×C₄⋊C₄	—	67	1	no	—
1418	C₂×C₄⋊C₄	—	67	1	no	—
1419	C₂×C₄⋊C₄	—	67	1	no	—
1420	C₂×C₄⋊C₄	—	67	1	no	—
1421	C₂×C₄⋊C₄	—	67	1	no	—
1422	C₂×C₄⋊C₄	—	67	1	no	—
1423	C₂×C₄⋊C₄	—	67	1	no	—
1424	C₂×C₄⋊C₄	—	67	1	no	—
1425	C₂×C₄⋊C₄	—	67	1	no	—
1426	C₂×C₄⋊C₄	—	67	1	no	—
1427	C₂×C₄⋊C₄	—	67	1	no	—
1428	C₂×C₄⋊C₄	—	67	1	no	—
1429	C₂×C₄⋊C₄	—	67	1	no	—
1430	C₂×C₄⋊C₄	—	67	1	no	—
1431	C₂×C₄⋊C₄	—	67	1	no	—
1432	C₂×C₄⋊C₄	—	67	1	no	—
1433	C₂×C₄⋊C₄	—	67	1	no	—
1434	C₂×C₄⋊C₄	—	67	1	no	—
1435	C₂×C₄⋊C₄	—	67	1	no	—
1436	C₂×C₄⋊C₄	—	67	1	no	—
1437	C₂×C₄⋊C₄	—	67	8	no	—
1438	C₂×C₄⋊C₄	—	67	8	no	—
1439	C₂×C₄⋊C₄	—	67	8	no	—
1440	C₂×C₄⋊C₄	—	67	8	no	—
1441	C₂×C₄⋊C₄	—	67	8	no	—
1442	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1443	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1444	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1445	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1446	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1447	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1448	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1449	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1450	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1451	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1452	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1453	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1454	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1455	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1456	C₂×C₄⋊C₄	C₂²×D₆₇	1	8	yes	complemented
1457	C₂×C₂²⋊C₄	—	67	1	no	—
1458	C₂×C₂²⋊C₄	—	67	1	no	—
1459	C₂×C₂²⋊C₄	—	67	1	no	—
1460	C₂×C₂²⋊C₄	—	67	1	no	—
1461	C₂×C₂²⋊C₄	—	67	1	no	—
1462	C₂×C₂²⋊C₄	—	67	1	no	—
1463	C₂×C₂²⋊C₄	—	67	1	no	—
1464	C₂×C₂²⋊C₄	—	67	1	no	—
1465	C₂×C₂²⋊C₄	—	67	1	no	—
1466	C₂×C₂²⋊C₄	—	67	1	no	—
1467	C₂×C₂²⋊C₄	—	67	1	no	—
1468	C₂×C₂²⋊C₄	—	67	1	no	—
1469	C₂×C₂²⋊C₄	—	67	1	no	—
1470	C₂×C₂²⋊C₄	—	67	1	no	—
1471	C₂×C₂²⋊C₄	—	67	1	no	—
1472	C₂×C₂²⋊C₄	—	67	1	no	—
1473	C₂×C₂²⋊C₄	—	67	1	no	—
1474	C₂×C₂²⋊C₄	—	67	1	no	—
1475	C₂×C₂²⋊C₄	—	67	1	no	—
1476	C₂×C₂²⋊C₄	—	67	1	no	—
1477	C₂×C₂²⋊C₄	—	67	1	no	—
1478	C₂×C₂²⋊C₄	—	67	1	no	—
1479	C₂×C₂²⋊C₄	—	67	1	no	—
1480	C₂×C₂²⋊C₄	—	67	1	no	—
1481	C₂×C₂²⋊C₄	—	67	1	no	—
1482	C₂×C₂²⋊C₄	—	67	1	no	—
1483	C₂×C₂²⋊C₄	—	67	1	no	—
1484	C₂×C₂²⋊C₄	—	67	1	no	—
1485	C₂×C₂²⋊C₄	—	67	1	no	—
1486	C₂×C₂²⋊C₄	—	67	1	no	—
1487	C₂×C₂²⋊C₄	—	67	1	no	—
1488	C₂×C₂²⋊C₄	—	67	1	no	—
1489	C₂×C₂²⋊C₄	—	67	1	no	—
1490	C₂×C₂²⋊C₄	—	67	1	no	—
1491	C₂×C₂²⋊C₄	—	67	8	no	—
1492	C₂×C₂²⋊C₄	—	67	8	no	—
1493	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1494	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1495	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1496	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1497	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1498	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1499	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1500	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1501	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1502	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1503	C₂×C₄²	—	67	1	no	—
1504	C₂×C₄²	—	67	1	no	—
1505	C₂×C₄²	—	67	1	no	—
1506	C₂×C₄²	—	67	1	no	—
1507	C₂×C₄²	—	67	1	no	—
1508	C₂×C₄²	—	67	1	no	—
1509	C₂×C₄²	—	67	1	no	—
1510	C₂×C₄²	—	67	1	no	—
1511	C₂×C₄²	—	67	1	no	—
1512	C₂×C₄²	—	67	1	no	—
1513	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
1514	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
1515	C₂⁴	—	268	2	no	—
1516	C₂⁴	—	268	2	no	—
1517	C₂⁴	—	67	4	no	—
1518	C₂⁴	—	67	1	no	—
1519	C₂⁴	—	67	1	no	—
1520	C₂⁴	—	67	1	no	—
1521	C₂⁴	—	67	1	no	—
1522	C₂⁴	—	134	4	no	—
1523	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1524	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1525	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1526	#41	—	268	16	no	—
1527	#41	—	268	16	no	—
1528	#41	—	268	16	no	—
1529	C₂×Q₈	—	4	2	no	—
1530	C₂×Q₈	—	268	2	no	—
1531	C₂×Q₈	—	268	2	no	—
1532	C₂×Q₈	—	268	2	no	—
1533	C₂×Q₈	—	268	2	no	—
1534	C₂×Q₈	—	268	2	no	—
1535	C₂×Q₈	—	268	2	no	—
1536	C₂×Q₈	—	268	16	no	—
1537	C₂×Q₈	—	268	16	no	—
1538	C₂×Q₈	—	67	4	no	—
1539	C₂×Q₈	—	67	4	no	—
1540	C₂×Q₈	—	67	4	no	—
1541	C₂×Q₈	—	67	4	no	—
1542	C₂×Q₈	—	67	4	no	—
1543	C₂×Q₈	—	67	4	no	—
1544	C₂×Q₈	—	67	4	no	—
1545	C₂×Q₈	—	67	4	no	—
1546	C₂×Q₈	—	67	4	no	—
1547	C₂×Q₈	—	134	4	no	—
1548	C₂×Q₈	—	134	4	no	—
1549	C₂×Q₈	—	134	4	no	—
1550	C₂×Q₈	C₂³×D₆₇	1	4	yes	—
1551	C₂×D₄	—	4	2	no	—
1552	C₂×D₄	—	4	2	no	—
1553	C₂×D₄	—	4	2	no	—
1554	C₂×D₄	—	268	2	no	—
1555	C₂×D₄	—	268	2	no	—
1556	C₂×D₄	—	268	2	no	—
1557	C₂×D₄	—	268	2	no	—
1558	C₂×D₄	—	268	2	no	—
1559	C₂×D₄	—	268	2	no	—
1560	C₂×D₄	—	268	2	no	—
1561	C₂×D₄	—	268	2	no	—
1562	C₂×D₄	—	268	2	no	—
1563	C₂×D₄	—	268	2	no	—
1564	C₂×D₄	—	67	4	no	—
1565	C₂×D₄	—	67	4	no	—
1566	C₂×D₄	—	67	4	no	—
1567	C₂×D₄	—	67	4	no	—
1568	C₂×D₄	—	67	4	no	—
1569	C₂×D₄	—	67	4	no	—
1570	C₂×D₄	—	67	4	no	—
1571	C₂×D₄	—	67	4	no	—
1572	C₂×D₄	—	67	4	no	—
1573	C₂×D₄	—	67	4	no	—
1574	C₂×D₄	—	67	4	no	—
1575	C₂×D₄	—	67	4	no	—
1576	C₂×D₄	—	67	4	no	—
1577	C₂×D₄	—	67	4	no	—
1578	C₂×D₄	—	67	4	no	—
1579	C₂×D₄	—	134	4	no	—
1580	C₂×D₄	—	134	4	no	—
1581	C₂×D₄	—	134	4	no	—
1582	C₂×D₄	—	134	4	no	—
1583	C₂×D₄	—	134	4	no	—
1584	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1585	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1586	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1587	C₂²×C₄	—	4	2	no	—
1588	C₂²×C₄	—	4	2	no	—
1589	C₂²×C₄	—	4	2	no	—
1590	C₂²×C₄	—	4	2	no	—
1591	C₂²×C₄	—	4	2	no	—
1592	C₂²×C₄	—	268	2	no	—
1593	C₂²×C₄	—	268	2	no	—
1594	C₂²×C₄	—	268	2	no	—
1595	C₂²×C₄	—	268	2	no	—
1596	C₂²×C₄	—	268	2	no	—
1597	C₂²×C₄	—	268	2	no	—
1598	C₂²×C₄	—	268	2	no	—
1599	C₂²×C₄	—	268	2	no	—
1600	C₂²×C₄	—	268	2	no	—
1601	C₂²×C₄	—	268	2	no	—
1602	C₂²×C₄	—	268	2	no	—
1603	C₂²×C₄	—	268	16	no	—
1604	C₂²×C₄	—	268	2	no	—
1605	C₂²×C₄	—	67	4	no	—
1606	C₂²×C₄	—	67	4	no	—
1607	C₂²×C₄	—	67	4	no	—
1608	C₂²×C₄	—	67	4	no	—
1609	C₂²×C₄	—	67	4	no	—
1610	C₂²×C₄	—	67	4	no	—
1611	C₂²×C₄	—	67	4	no	—
1612	C₂²×C₄	—	67	4	no	—
1613	C₂²×C₄	—	67	4	no	—
1614	C₂²×C₄	—	67	4	no	—
1615	C₂²×C₄	—	67	4	no	—
1616	C₂²×C₄	—	67	4	no	—
1617	C₂²×C₄	—	67	1	no	—
1618	C₂²×C₄	—	67	4	no	—
1619	C₂²×C₄	—	67	4	no	—
1620	C₂²×C₄	—	67	1	no	—
1621	C₂²×C₄	—	67	1	no	—
1622	C₂²×C₄	—	67	1	no	—
1623	C₂²×C₄	—	67	1	no	—
1624	C₂²×C₄	—	67	1	no	—
1625	C₂²×C₄	—	67	1	no	—
1626	C₂²×C₄	—	67	1	no	—
1627	C₂²×C₄	—	67	1	no	—
1628	C₂²×C₄	—	67	1	no	—
1629	C₂²×C₄	—	67	1	no	—
1630	C₂²×C₄	—	67	1	no	—
1631	C₂²×C₄	—	67	4	no	—
1632	C₂²×C₄	—	67	4	no	—
1633	C₂²×C₄	—	67	4	no	—
1634	C₂²×C₄	—	134	4	no	—
1635	C₂²×C₄	—	134	4	no	—
1636	C₂²×C₄	—	134	4	no	—
1637	C₂²×C₄	—	134	4	no	—
1638	C₂²×C₄	—	134	4	no	—
1639	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1640	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1641	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1642	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1643	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1644	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1645	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1646	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1647	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1648	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1649	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1650	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1651	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1652	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1653	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1654	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1655	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1656	C₄⋊C₄	—	67	4	no	—
1657	C₄⋊C₄	—	67	4	no	—
1658	C₄⋊C₄	—	67	4	no	—
1659	C₄⋊C₄	—	67	4	no	—
1660	C₄⋊C₄	—	67	4	no	—
1661	C₄⋊C₄	—	67	4	no	—
1662	C₄⋊C₄	—	67	4	no	—
1663	C₄⋊C₄	—	67	4	no	—
1664	C₄⋊C₄	—	67	4	no	—
1665	C₄⋊C₄	—	67	4	no	—
1666	C₄⋊C₄	—	67	4	no	—
1667	C₄⋊C₄	—	67	4	no	—
1668	C₄⋊C₄	—	67	4	no	—
1669	C₄⋊C₄	—	67	4	no	—
1670	C₄⋊C₄	—	67	4	no	—
1671	C₄⋊C₄	—	67	4	no	—
1672	C₄⋊C₄	—	67	4	no	—
1673	C₄⋊C₄	—	67	4	no	—
1674	C₄⋊C₄	—	67	4	no	—
1675	C₄⋊C₄	—	67	4	no	—
1676	C₄⋊C₄	—	67	4	no	—
1677	C₄⋊C₄	—	67	4	no	—
1678	C₄⋊C₄	—	67	4	no	—
1679	C₄⋊C₄	—	67	4	no	—
1680	C₄⋊C₄	—	67	4	no	—
1681	C₄⋊C₄	—	67	4	no	—
1682	C₄⋊C₄	—	67	4	no	—
1683	C₄⋊C₄	—	67	4	no	—
1684	C₄⋊C₄	—	67	4	no	—
1685	C₄⋊C₄	—	67	4	no	—
1686	C₄⋊C₄	—	67	4	no	—
1687	C₄⋊C₄	—	67	4	no	—
1688	C₄⋊C₄	—	67	4	no	—
1689	C₄⋊C₄	—	67	4	no	—
1690	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1691	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1692	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1693	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1694	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1695	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1696	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1697	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1698	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1699	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1700	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1701	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1702	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1703	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1704	C₂²⋊C₄	—	67	4	no	—
1705	C₂²⋊C₄	—	67	4	no	—
1706	C₂²⋊C₄	—	67	4	no	—
1707	C₂²⋊C₄	—	67	4	no	—
1708	C₂²⋊C₄	—	67	4	no	—
1709	C₂²⋊C₄	—	67	4	no	—
1710	C₂²⋊C₄	—	67	4	no	—
1711	C₂²⋊C₄	—	67	4	no	—
1712	C₂²⋊C₄	—	67	4	no	—
1713	C₂²⋊C₄	—	67	4	no	—
1714	C₂²⋊C₄	—	67	4	no	—
1715	C₂²⋊C₄	—	67	4	no	—
1716	C₂²⋊C₄	—	67	4	no	—
1717	C₂²⋊C₄	—	67	4	no	—
1718	C₂²⋊C₄	—	67	4	no	—
1719	C₂²⋊C₄	—	67	4	no	—
1720	C₂²⋊C₄	—	67	4	no	—
1721	C₂²⋊C₄	—	67	4	no	—
1722	C₂²⋊C₄	—	67	4	no	—
1723	C₂²⋊C₄	—	67	4	no	—
1724	C₂²⋊C₄	—	67	4	no	—
1725	C₂²⋊C₄	—	67	4	no	—
1726	C₂²⋊C₄	—	67	4	no	—
1727	C₂²⋊C₄	—	67	4	no	—
1728	C₂²⋊C₄	—	67	4	no	—
1729	C₂²⋊C₄	—	67	4	no	—
1730	C₂²⋊C₄	—	67	4	no	—
1731	C₂²⋊C₄	—	67	4	no	—
1732	C₂²⋊C₄	—	67	4	no	—
1733	C₂²⋊C₄	—	67	4	no	—
1734	C₂²⋊C₄	—	67	4	no	—
1735	C₂²⋊C₄	—	67	4	no	—
1736	C₂²⋊C₄	—	67	4	no	—
1737	C₂²⋊C₄	—	67	4	no	—
1738	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1739	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1740	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1741	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1742	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1743	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1744	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1745	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1746	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1747	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1748	C₄²	—	67	4	no	—
1749	C₄²	—	67	4	no	—
1750	C₄²	—	67	4	no	—
1751	C₄²	—	67	4	no	—
1752	C₄²	—	67	4	no	—
1753	C₄²	—	67	4	no	—
1754	C₄²	—	67	4	no	—
1755	C₄²	—	67	4	no	—
1756	C₄²	—	67	4	no	—
1757	C₄²	—	67	4	no	—
1758	C₄²	C₂³×D₆₇	1	4	yes	—
1759	C₄²	C₂³×D₆₇	1	4	yes	—
1760	C₂³	—	2	2	no	—
1761	C₂³	—	2	2	no	—
1762	C₂³	—	2	2	no	—
1763	C₂³	—	2	2	no	—
1764	C₂³	—	2	2	no	—
1765	C₂³	—	2	2	no	—
1766	C₂³	—	2	2	no	—
1767	C₂³	—	2	2	no	—
1768	C₂³	—	2	2	no	—
1769	C₂³	—	268	4	no	—
1770	C₂³	—	268	4	no	—
1771	C₂³	—	268	16	no	—
1772	C₂³	—	67	4	no	—
1773	C₂³	—	67	2	no	—
1774	C₂³	—	67	2	no	—
1775	C₂³	—	67	2	no	—
1776	C₂³	—	67	2	no	—
1777	C₂³	—	134	8	no	—
1778	C₂³	—	134	2	no	—
1779	C₂³	—	134	2	no	—
1780	C₂³	—	134	2	no	—
1781	C₂³	—	134	2	no	—
1782	C₂³	—	134	2	no	—
1783	C₂³	—	134	2	no	—
1784	C₂³	—	134	2	no	—
1785	C₂³	—	134	2	no	—
1786	C₂³	—	134	2	no	—
1787	C₂³	—	134	2	no	—
1788	C₂³	—	134	2	no	—
1789	C₂³	C₂⁴×D₆₇	1	2	yes	—
1790	C₂³	C₂⁴×D₆₇	1	2	yes	—
1791	C₂³	C₂⁴×D₆₇	1	2	yes	—
1792	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
1793	Q₈	—	4	4	no	—
1794	Q₈	—	268	4	no	—
1795	Q₈	—	268	4	no	—
1796	Q₈	—	268	4	no	—
1797	Q₈	—	268	4	no	—
1798	Q₈	—	268	4	no	—
1799	Q₈	—	268	4	no	—
1800	Q₈	—	134	8	no	—
1801	Q₈	—	134	8	no	—
1802	Q₈	—	134	8	no	—
1803	D₄	—	4	4	no	—
1804	D₄	—	4	4	no	—
1805	D₄	—	4	4	no	—
1806	D₄	—	268	4	no	—
1807	D₄	—	268	4	no	—
1808	D₄	—	268	4	no	—
1809	D₄	—	268	4	no	—
1810	D₄	—	268	4	no	—
1811	D₄	—	268	4	no	—
1812	D₄	—	268	4	no	—
1813	D₄	—	268	4	no	—
1814	D₄	—	268	4	no	—
1815	D₄	—	268	4	no	—
1816	D₄	—	134	8	no	—
1817	D₄	—	134	8	no	—
1818	D₄	—	134	8	no	—
1819	D₄	—	134	8	no	—
1820	D₄	—	134	8	no	—
1821	C₂×C₄	—	2	2	no	—
1822	C₂×C₄	—	2	2	no	—
1823	C₂×C₄	—	2	2	no	—
1824	C₂×C₄	—	2	2	no	—
1825	C₂×C₄	—	2	2	no	—
1826	C₂×C₄	—	2	2	no	—
1827	C₂×C₄	—	2	2	no	—
1828	C₂×C₄	—	2	2	no	—
1829	C₂×C₄	—	2	2	no	—
1830	C₂×C₄	—	2	2	no	—
1831	C₂×C₄	—	2	2	no	—
1832	C₂×C₄	—	2	2	no	—
1833	C₂×C₄	—	4	4	no	—
1834	C₂×C₄	—	4	4	no	—
1835	C₂×C₄	—	4	4	no	—
1836	C₂×C₄	—	4	4	no	—
1837	C₂×C₄	—	4	4	no	—
1838	C₂×C₄	—	268	4	no	—
1839	C₂×C₄	—	268	4	no	—
1840	C₂×C₄	—	268	4	no	—
1841	C₂×C₄	—	268	4	no	—
1842	C₂×C₄	—	268	4	no	—
1843	C₂×C₄	—	268	4	no	—
1844	C₂×C₄	—	268	4	no	—
1845	C₂×C₄	—	268	4	no	—
1846	C₂×C₄	—	268	4	no	—
1847	C₂×C₄	—	268	4	no	—
1848	C₂×C₄	—	268	4	no	—
1849	C₂×C₄	—	268	4	no	—
1850	C₂×C₄	—	67	4	no	—
1851	C₂×C₄	—	67	2	no	—
1852	C₂×C₄	—	67	2	no	—
1853	C₂×C₄	—	67	2	no	—
1854	C₂×C₄	—	67	2	no	—
1855	C₂×C₄	—	67	2	no	—
1856	C₂×C₄	—	67	2	no	—
1857	C₂×C₄	—	67	2	no	—
1858	C₂×C₄	—	67	2	no	—
1859	C₂×C₄	—	67	2	no	—
1860	C₂×C₄	—	67	2	no	—
1861	C₂×C₄	—	67	2	no	—
1862	C₂×C₄	—	67	2	no	—
1863	C₂×C₄	—	134	8	no	—
1864	C₂×C₄	—	134	8	no	—
1865	C₂×C₄	—	134	8	no	—
1866	C₂×C₄	—	134	8	no	—
1867	C₂×C₄	—	134	8	no	—
1868	C₂×C₄	—	134	2	no	—
1869	C₂×C₄	—	134	2	no	—
1870	C₂×C₄	—	134	2	no	—
1871	C₂×C₄	—	134	2	no	—
1872	C₂×C₄	—	134	2	no	—
1873	C₂×C₄	—	134	2	no	—
1874	C₂×C₄	—	134	2	no	—
1875	C₂×C₄	—	134	2	no	—
1876	C₂×C₄	—	134	2	no	—
1877	C₂×C₄	—	134	2	no	—
1878	C₂×C₄	—	134	2	no	—
1879	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1880	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1881	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1882	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1883	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1884	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1885	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1886	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1887	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1888	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1889	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1890	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1891	C₂²	—	2	2	no	—
1892	C₂²	—	2	2	no	—
1893	C₂²	—	2	2	no	—
1894	C₂²	—	2	2	no	—
1895	C₂²	—	2	2	no	—
1896	C₂²	—	2	2	no	—
1897	C₂²	—	2	2	no	—
1898	C₂²	—	2	2	no	—
1899	C₂²	—	2	2	no	—
1900	C₂²	—	4	4	no	—
1901	C₂²	—	4	4	no	—
1902	C₂²	—	4	4	no	—
1903	C₂²	—	268	16	no	—
1904	C₂²	—	268	4	no	—
1905	C₂²	—	268	4	no	—
1906	C₂²	—	268	4	no	—
1907	C₂²	—	67	4	no	—
1908	C₂²	—	134	2	no	—
1909	C₂²	—	134	2	no	—
1910	C₂²	—	134	2	no	—
1911	C₂²	—	134	2	no	—
1912	C₂²	—	134	2	no	—
1913	C₂²	—	134	2	no	—
1914	C₂²	—	134	2	no	—
1915	C₂²	—	134	2	no	—
1916	C₂²	—	134	2	no	—
1917	C₂²	—	134	2	no	—
1918	C₂²	—	134	8	no	—
1919	C₂²	—	134	2	no	—
1920	C₂²	H(5,𝔽₂)×D₆₇	1	2	yes	—
1921	C₂²	2₋¹⁺⁴×D₆₇	1	2	yes	—
1922	C₂²	#16864232	1	2	yes	—
1923	C₂²	C₂⁵×D₆₇	1	1	yes	characteristic
1924	C₄	—	2	2	no	—
1925	C₄	—	2	2	no	—
1926	C₄	—	2	2	no	—
1927	C₄	—	2	2	no	—
1928	C₄	—	2	2	no	—
1929	C₄	—	2	2	no	—
1930	C₄	—	2	2	no	—
1931	C₄	—	2	2	no	—
1932	C₄	—	2	2	no	—
1933	C₄	—	2	2	no	—
1934	C₄	—	2	2	no	—
1935	C₄	—	2	2	no	—
1936	C₄	—	67	4	no	—
1937	C₄	—	134	2	no	—
1938	C₄	—	134	2	no	—
1939	C₄	—	134	2	no	—
1940	C₄	—	134	2	no	—
1941	C₄	—	134	2	no	—
1942	C₄	—	134	2	no	—
1943	C₄	—	134	2	no	—
1944	C₄	—	134	2	no	—
1945	C₄	—	134	2	no	—
1946	C₄	—	134	2	no	—
1947	C₄	—	134	2	no	—
1948	C₂	—	4	2	no	—
1949	C₂	—	4	2	no	—
1950	C₂	—	4	2	no	—
1951	C₂	—	268	2	no	—
1952	C₂	—	268	2	no	—
1953	C₂	—	268	2	no	—
1954	C₂	—	134	4	no	—
1955	C₂	#22574501	1	4	yes	direct product factor
1956	C₂	C₂×H(5,𝔽₂)×D₆₇	1	1	yes	characteristic
1957	C₂	C₂×2₋¹⁺⁴×D₆₇	1	1	yes	characteristic
1958	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×#539×C₆₇	C₂
socle	C₂³×C₆₇	C₂⁵
hypercenter	C₂×#539	D₆₇
hypocenter	C₆₇	C₂×#3541
LCS	G ▷ C₂²×C₆₇ ▷ C₆₇
UCS	C₁ ◁ C₂³ ◁ C₂×#539

Complements

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

N	H ≅ G/N	type
1. #22574501	C₂	direct (N × H)
2. C₂×#16864150	C₂	semidirect
3. C₂×#16864147	C₂	semidirect
4. C₂×#16864143	C₂	semidirect
5. C₂×#16864142	C₂	semidirect
6. C₂×#16864113	C₂	semidirect
7. C₂×#16864102	C₂	semidirect
8. C₂×#16864102	C₂	semidirect
9. C₂×#16864101	C₂	semidirect
10. C₂×#16864097	C₂	semidirect
11. C₂×#16864096	C₂	semidirect
12. C₂×#16864091	C₂	semidirect
13. C₂×#16864078	C₂	semidirect
14. C₂×#16864059	C₂	semidirect
15. C₂×#16864056	C₂	semidirect
16. C₂×#16864055	C₂	semidirect
17. C₂×#16864047	C₂	semidirect
18. C₂×#16864016	C₂	semidirect
19. C₂×#16864014	C₂	semidirect
20. C₂×#16864011	C₂	semidirect
21. C₂×#16864003	C₂	semidirect
22. C₂×#16863989	C₂	semidirect
23. C₂×#16863985	C₂	semidirect
24. C₂×#16863982	C₂	semidirect
25. C₂×#16863982	C₂	semidirect
26. C₂×#16863978	C₂	semidirect
27. C₂×#16863975	C₂	semidirect
28. C₂×#16863968	C₂	semidirect
29. C₂×#16863905	C₂	semidirect
30. C₂×#16863904	C₂	semidirect
31. C₂×C₂²⋊Q₈×D₆₇	C₂	semidirect
32. C₂×#539×C₆₇	C₂	semidirect
34. C₂²×#11761628	C₂²	semidirect
36. C₂³×Dic₁₃₄	C₂²	semidirect
39. #16864150	C₂²	semidirect
40. #16864147	C₂²	semidirect
41. #16864143	C₂²	semidirect
42. #16864142	C₂²	semidirect
43. #16864113	C₂²	semidirect
44. #16864102	C₂²	semidirect
45. #16864102	C₂²	semidirect
46. #16864101	C₂²	semidirect
47. #16864097	C₂²	semidirect
48. #16864096	C₂²	semidirect
49. #16864091	C₂²	semidirect
50. #16864078	C₂²	semidirect
51. #16864059	C₂²	semidirect
52. #16864056	C₂²	semidirect
53. #16864055	C₂²	semidirect
54. #16864047	C₂²	semidirect
55. #16864016	C₂²	semidirect
56. #16864014	C₂²	semidirect
57. #16864011	C₂²	semidirect
58. #16864003	C₂²	semidirect
59. #16863989	C₂²	semidirect
60. #16863985	C₂²	semidirect
61. #16863982	C₂²	semidirect
62. #16863982	C₂²	semidirect
63. #16863978	C₂²	semidirect
64. #16863975	C₂²	semidirect
65. #16863968	C₂²	semidirect
66. C₂×#14524042	C₂²	semidirect
67. C₂×#14524042	C₂²	semidirect
68. C₂×#14524042	C₂²	semidirect
69. C₂×#14524042	C₂²	semidirect
70. C₂×#14524042	C₂²	semidirect
71. C₂×#14524041	C₂²	semidirect
76. C₂×#14524038	C₂²	semidirect
77. C₂×#14524038	C₂²	semidirect
81. C₂×#14524036	C₂²	semidirect
82. C₂×#14524036	C₂²	semidirect
83. C₂×#14524036	C₂²	semidirect
84. C₂×#14524035	C₂²	semidirect
85. C₂×#14524034	C₂²	semidirect
86. C₂×#14524034	C₂²	semidirect
87. C₂×#14524033	C₂²	semidirect
88. C₂×#14524033	C₂²	semidirect
89. C₂×#14524033	C₂²	semidirect
90. C₂×#14524033	C₂²	semidirect
91. C₂×#14524032	C₂²	semidirect
100. C₂×#14524029	C₂²	semidirect
101. C₂×#14524029	C₂²	semidirect
102. #16863905	C₂²	semidirect
103. #16863904	C₂²	semidirect
108. C₂×#14524028	C₂²	semidirect
109. C₂×#14524027	C₂²	semidirect
112. C₂×#14524026	C₂²	semidirect
113. C₂×#14524026	C₂²	semidirect
116. C₂×#14524025	C₂²	semidirect
121. C₂×#14524023	C₂²	semidirect
122. C₂×#14524023	C₂²	semidirect
124. C₂×#14524022	C₂²	semidirect
125. C₂×#14524022	C₂²	semidirect
126. C₂×#14524022	C₂²	semidirect
134. C₂×#14524021	C₂²	semidirect
135. C₂×#14524021	C₂²	semidirect
136. C₂×#14524021	C₂²	semidirect
137. C₂×#14524021	C₂²	semidirect
138. C₂×#14524021	C₂²	semidirect
139. C₂×#14524021	C₂²	semidirect
143. C₂×#14524020	C₂²	semidirect
144. C₂×#14524020	C₂²	semidirect
146. C₂²⋊Q₈×D₆₇	C₂²	semidirect
157. C₂×#14524016	C₂²	semidirect
160. C₂×#14524015	C₂²	semidirect
164. C₂×#14524014	C₂²	semidirect
169. C₂×C₄×Dic₁₃₄	C₂²	semidirect
170. C₂×C₄×Dic₁₃₄	C₂²	semidirect
171. C₂×#14524008	C₂²	semidirect
172. C₂×#14524008	C₂²	semidirect
173. C₂×#14524008	C₂²	semidirect
186. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
190. C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	semidirect
191. C₂×#14524001	C₂²	semidirect
193. C₂×#14524000	C₂²	semidirect
195. C₂×#14523999	C₂²	semidirect
199. C₂×C₄⋊C₄×D₆₇	C₂²	semidirect
200. C₂×C₄⋊C₄×D₆₇	C₂²	semidirect
203. #539×C₆₇	C₂²	semidirect
205. C₂×#126×C₆₇	C₂²	semidirect
206. C₂×#125×C₆₇	C₂²	semidirect
207. C₂×#125×C₆₇	C₂²	semidirect
211. C₂×#123×C₆₇	C₂²	semidirect
213. C₂×C₂²⋊Q₈×C₆₇	C₂²	semidirect
214. C₂×C₂²⋊Q₈×C₆₇	C₂²	semidirect
217. C₂×C₄×D₄×C₆₇	C₂²	semidirect
218. C₂²×C₄⋊C₄×C₆₇	C₂²	semidirect
223. C₂×#11761628	C₂³	semidirect
236. C₂²×Dic₁₃₄	C₂³	semidirect
273. #14524042	C₂³	semidirect
274. #14524042	C₂³	semidirect
275. #14524042	C₂³	semidirect
276. #14524042	C₂³	semidirect
277. #14524042	C₂³	semidirect
278. #14524041	C₂³	semidirect
283. #14524038	C₂³	semidirect
284. #14524038	C₂³	semidirect
288. #14524036	C₂³	semidirect
289. #14524036	C₂³	semidirect
290. #14524036	C₂³	semidirect
291. #14524035	C₂³	semidirect
292. #14524034	C₂³	semidirect
293. #14524034	C₂³	semidirect
294. #14524033	C₂³	semidirect
295. #14524033	C₂³	semidirect
296. #14524033	C₂³	semidirect
297. #14524033	C₂³	semidirect
298. #14524032	C₂³	semidirect
307. #14524029	C₂³	semidirect
308. #14524029	C₂³	semidirect
313. #14524028	C₂³	semidirect
314. #14524027	C₂³	semidirect
317. #14524026	C₂³	semidirect
318. #14524026	C₂³	semidirect
321. #14524025	C₂³	semidirect
326. #14524023	C₂³	semidirect
327. #14524023	C₂³	semidirect
329. #14524022	C₂³	semidirect
330. #14524022	C₂³	semidirect
331. #14524022	C₂³	semidirect
339. #14524021	C₂³	semidirect
340. #14524021	C₂³	semidirect
341. #14524021	C₂³	semidirect
342. #14524021	C₂³	semidirect
343. #14524021	C₂³	semidirect
344. #14524021	C₂³	semidirect
348. #14524020	C₂³	semidirect
349. #14524020	C₂³	semidirect
361. #14524016	C₂³	semidirect
364. #14524015	C₂³	semidirect
368. #14524014	C₂³	semidirect
373. C₄×Dic₁₃₄	C₂³	semidirect
374. C₄×Dic₁₃₄	C₂³	semidirect
375. #14524008	C₂³	semidirect
376. #14524008	C₂³	semidirect
377. #14524008	C₂³	semidirect
390. C₄×C₂²⋊D₆₇	C₂³	semidirect
394. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
395. #14524001	C₂³	semidirect
397. #14524000	C₂³	semidirect
399. #14523999	C₂³	semidirect
437. C₄⋊C₄×D₆₇	C₂³	semidirect
438. C₄⋊C₄×D₆₇	C₂³	semidirect
495. #126×C₆₇	C₂³	semidirect
496. #125×C₆₇	C₂³	semidirect
497. #125×C₆₇	C₂³	semidirect
501. #123×C₆₇	C₂³	semidirect
503. C₂²⋊Q₈×C₆₇	C₂³	semidirect
504. C₂²⋊Q₈×C₆₇	C₂³	semidirect
507. C₄×D₄×C₆₇	C₂³	semidirect
522. C₂×C₄⋊C₄×C₆₇	C₂³	semidirect
972. C₂×C₆₇	#3541	semidirect
1002. C₂×#539	D₆₇	semidirect
1012. C₆₇	C₂×#3541	semidirect
1040. #539	C₂×D₆₇	semidirect
1066. C₂×#126	C₂×D₆₇	semidirect
1074. C₂×#125	C₂×D₆₇	semidirect
1075. C₂×#125	C₂×D₆₇	semidirect
1106. C₂×#123	C₂×D₆₇	semidirect
1137. C₂×C₂²⋊Q₈	C₂×D₆₇	semidirect
1138. C₂×C₂²⋊Q₈	C₂×D₆₇	semidirect
1185. C₂×C₄×D₄	C₂×D₆₇	semidirect
1196. C₂²×C₄⋊C₄	C₂×D₆₇	semidirect
1281. #126	C₂²×D₆₇	semidirect
1289. #125	C₂²×D₆₇	semidirect
1290. #125	C₂²×D₆₇	semidirect
1319. #123	C₂²×D₆₇	semidirect
1349. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1350. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1397. C₄×D₄	C₂²×D₆₇	semidirect
1456. C₂×C₄⋊C₄	C₂²×D₆₇	semidirect
1955. C₂	#22574501	direct (N × H)

Maximal subgroups

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

subgroup	index
#22574501	2
C₂×#16864150	2
C₂×#16864147	2
C₂×#16864143	2
C₂×#16864142	2
C₂×#16864113	2
C₂×#16864102	2
C₂×#16864101	2
C₂×#16864097	2
C₂×#16864096	2
C₂×#16864091	2
C₂×#16864078	2
C₂×#16864059	2
C₂×#16864056	2
C₂×#16864055	2
C₂×#16864047	2
C₂×#16864016	2
C₂×#16864014	2
C₂×#16864011	2
C₂×#16864003	2
C₂×#16863989	2
C₂×#16863985	2
C₂×#16863982	2
C₂×#16863978	2
C₂×#16863975	2
C₂×#16863968	2
C₂×#16863905	2
C₂×#16863904	2
C₂×C₂²⋊Q₈×D₆₇	2
C₂×#539×C₆₇	2
C₂×#3541	67

Subgroups — C2×#22574501 #31762993

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#22574501 #31762993