Subgroups — C₂×#22574467 #31763113

Order 17152.

7354 conjugacy classes of subgroups.

The subgroup lattice has 2024 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22574467	C₂	1	32	yes	maximal, direct product factor
2	C₂×#16864137	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#16864136	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#16864136	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#16864134	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#16864099	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#16864097	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#16864097	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#16864095	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#16864094	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#16864091	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#16864082	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#16864078	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#16864067	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#16864064	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#16864047	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#16864044	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#16864005	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#16864002	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#16863998	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#16863998	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#16863998	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#16863997	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#16863995	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#16863992	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#16863992	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#16863976	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#16863976	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#16863909	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#16863905	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#16863904	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#539×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
33	C₂²×#11761629	C₂²	1	1	yes	characteristic
34	C₂²×#11761628	C₂²	1	1	yes	characteristic
35	C₂²×#11761628	C₂²	1	1	yes	characteristic, complemented
36	C₂²×#11761628	C₂²	1	1	yes	characteristic, complemented
37	C₂²×#11761627	C₂²	1	1	yes	characteristic
38	C₂³×C₄×D₆₇	C₂²	1	1	yes	characteristic
39	#16864137	C₂²	1	16	yes	complemented
40	#16864136	C₂²	1	16	yes	complemented
41	#16864136	C₂²	1	16	yes	complemented
42	#16864134	C₂²	1	16	yes	complemented
43	#16864099	C₂²	1	16	yes	complemented
44	#16864097	C₂²	1	16	yes	complemented
45	#16864097	C₂²	1	16	yes	complemented
46	#16864095	C₂²	1	16	yes	complemented
47	#16864094	C₂²	1	16	yes	complemented
48	#16864091	C₂²	1	16	yes	complemented
49	#16864082	C₂²	1	16	yes	complemented
50	#16864078	C₂²	1	16	yes	complemented
51	#16864067	C₂²	1	16	yes	complemented
52	#16864064	C₂²	1	16	yes	complemented
53	#16864047	C₂²	1	16	yes	complemented
54	#16864044	C₂²	1	16	yes	complemented
55	#16864005	C₂²	1	16	yes	complemented
56	#16864002	C₂²	1	16	yes	complemented
57	#16863998	C₂²	1	16	yes	complemented
58	#16863998	C₂²	1	16	yes	complemented
59	#16863998	C₂²	1	16	yes	complemented
60	#16863997	C₂²	1	16	yes	complemented
61	#16863995	C₂²	1	16	yes	complemented
62	#16863992	C₂²	1	16	yes	complemented
63	#16863992	C₂²	1	16	yes	complemented
64	#16863976	C₂²	1	16	yes	complemented
65	#16863976	C₂²	1	16	yes	complemented
66	C₂×#14524042	C₂²	1	1	yes	characteristic, complemented
67	C₂×#14524040	C₂²	1	1	yes	characteristic
68	C₂×#14524039	C₂²	1	1	yes	characteristic
69	C₂×#14524039	C₂²	1	1	yes	characteristic
70	C₂×#14524039	C₂²	1	1	yes	characteristic
71	C₂×#14524039	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
77	C₂×#14524038	C₂²	1	1	yes	characteristic, complemented
78	C₂×#14524038	C₂²	1	1	yes	characteristic, complemented
79	C₂×#14524037	C₂²	1	1	yes	characteristic
80	C₂×#14524036	C₂²	1	1	yes	characteristic
81	C₂×#14524036	C₂²	1	1	yes	characteristic, complemented
82	C₂×#14524034	C₂²	1	1	yes	characteristic, complemented
83	C₂×#14524034	C₂²	1	1	yes	characteristic, complemented
84	C₂×#14524033	C₂²	1	1	yes	characteristic, complemented
85	C₂×#14524033	C₂²	1	1	yes	characteristic, complemented
86	C₂×#14524033	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	#16863909	C₂²	1	16	yes	complemented
91	#16863905	C₂²	1	16	yes	complemented
92	#16863904	C₂²	1	16	yes	complemented
93	C₂×#14524028	C₂²	1	1	yes	characteristic
94	C₂×#14524028	C₂²	1	1	yes	characteristic
95	C₂×#14524028	C₂²	1	1	yes	characteristic
96	C₂×#14524028	C₂²	1	1	yes	characteristic
97	C₂×#14524028	C₂²	1	1	yes	characteristic
98	C₂×#14524028	C₂²	1	1	yes	characteristic
99	C₂×#14524028	C₂²	1	1	yes	characteristic
100	C₂×#14524028	C₂²	1	1	yes	characteristic, complemented
101	C₂×#14524028	C₂²	1	1	yes	characteristic, complemented
102	C₂×#14524028	C₂²	1	1	yes	characteristic, complemented
103	C₂×#14524027	C₂²	1	1	yes	characteristic
104	C₂×#14524027	C₂²	1	1	yes	characteristic, complemented
105	C₂×#14524027	C₂²	1	1	yes	characteristic, complemented
106	C₂×#14524026	C₂²	1	1	yes	characteristic
107	C₂×#14524026	C₂²	1	1	yes	characteristic
108	C₂×#14524026	C₂²	1	1	yes	characteristic, complemented
109	C₂×#14524025	C₂²	1	1	yes	characteristic
110	C₂×#14524025	C₂²	1	1	yes	characteristic
111	C₂×#14524025	C₂²	1	1	yes	characteristic
112	C₂×#14524025	C₂²	1	1	yes	characteristic
113	C₂×#14524025	C₂²	1	1	yes	characteristic
114	C₂×#14524025	C₂²	1	1	yes	characteristic, complemented
115	C₂×#14524021	C₂²	1	1	yes	characteristic
116	C₂×#14524021	C₂²	1	1	yes	characteristic
117	C₂×#14524021	C₂²	1	1	yes	characteristic
118	C₂×#14524021	C₂²	1	1	yes	characteristic, complemented
119	C₂×#14524021	C₂²	1	1	yes	characteristic, complemented
120	C₂×#14524020	C₂²	1	1	yes	characteristic
121	C₂×#14524019	C₂²	1	1	yes	characteristic
122	C₂×#14524019	C₂²	1	1	yes	characteristic, complemented
123	C₂×#14524019	C₂²	1	1	yes	characteristic, complemented
124	C₂×#14524018	C₂²	1	1	yes	characteristic
125	C₂×#14524018	C₂²	1	1	yes	characteristic
126	C₂×#14524018	C₂²	1	1	yes	characteristic
127	C₂×#14524018	C₂²	1	1	yes	characteristic
128	C₂×#14524018	C₂²	1	1	yes	characteristic
129	C₂×#14524018	C₂²	1	1	yes	characteristic
130	C₂×#14524018	C₂²	1	1	yes	characteristic
131	C₂×#14524018	C₂²	1	1	yes	characteristic
132	C₂×#14524018	C₂²	1	1	yes	characteristic, complemented
133	C₂×#14524018	C₂²	1	1	yes	characteristic, complemented
134	C₂×#14524018	C₂²	1	1	yes	characteristic, complemented
135	C₂×#14524017	C₂²	1	1	yes	characteristic
136	C₂×#14524017	C₂²	1	1	yes	characteristic
137	C₂×#14524017	C₂²	1	1	yes	characteristic
138	C₂×#14524017	C₂²	1	1	yes	characteristic
139	C₂×#14524017	C₂²	1	1	yes	characteristic
140	C₂×#14524017	C₂²	1	1	yes	characteristic
141	C₂×#14524017	C₂²	1	1	yes	characteristic, complemented
142	C₂×#14524016	C₂²	1	1	yes	characteristic
143	C₂×#14524016	C₂²	1	1	yes	characteristic
144	C₂×#14524016	C₂²	1	1	yes	characteristic
145	C₂×#14524016	C₂²	1	1	yes	characteristic
146	C₂×#14524016	C₂²	1	1	yes	characteristic
147	C₂×#14524016	C₂²	1	1	yes	characteristic
148	C₂×#14524016	C₂²	1	1	yes	characteristic
149	C₂×#14524016	C₂²	1	1	yes	characteristic
150	C₂×#14524016	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, complemented
154	C₂×#14524016	C₂²	1	1	yes	characteristic, complemented
155	C₂×#14524016	C₂²	1	1	yes	characteristic, complemented
156	C₂×#14524016	C₂²	1	1	yes	characteristic, complemented
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
161	C₂×#14524015	C₂²	1	1	yes	characteristic, complemented
162	C₂×#14524014	C₂²	1	1	yes	characteristic
163	C₂×#14524013	C₂²	1	1	yes	characteristic
164	C₂×#14524013	C₂²	1	1	yes	characteristic
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×#14524008	C₂²	1	1	yes	characteristic, complemented
171	C₂×C₄×D₂₆₈	C₂²	1	1	yes	characteristic
172	C₂×C₄×D₂₆₈	C₂²	1	1	yes	characteristic, complemented
173	C₂×#14524005	C₂²	1	1	yes	characteristic
174	C₂×#14524005	C₂²	1	1	yes	characteristic
175	C₂×#14524005	C₂²	1	1	yes	characteristic
176	C₂×#14524005	C₂²	1	1	yes	characteristic
177	C₂×#14524005	C₂²	1	1	yes	characteristic, complemented
178	C₂×#14524005	C₂²	1	1	yes	characteristic, complemented
179	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic
180	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic
181	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic, complemented
182	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic, complemented
183	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic, complemented
184	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic
185	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic
186	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic
187	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic
188	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
189	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
190	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
191	C₂×#14524001	C₂²	1	1	yes	characteristic
192	C₂×#14524001	C₂²	1	1	yes	characteristic, complemented
193	C₂×#14524001	C₂²	1	1	yes	characteristic, complemented
194	C₂×#14524000	C₂²	1	1	yes	characteristic
195	C₂×#14524000	C₂²	1	1	yes	characteristic, complemented
196	C₂×#14524000	C₂²	1	1	yes	characteristic, complemented
197	C₂×#14523999	C₂²	1	1	yes	characteristic
198	C₂²×Dic₆₇⋊C₄	C₂²	1	1	yes	characteristic, complemented
199	C₂×C₄⋊C₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
200	C₂×C₄⋊C₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
201	C₂×C₄⋊C₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₄⋊C₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
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×#11761629	—	4	4	no	—
221	C₂×#11761629	C₂³	1	8	yes	—
222	C₂×#11761628	—	4	4	no	—
223	C₂×#11761628	—	4	4	no	—
224	C₂×#11761628	—	4	4	no	—
225	C₂×#11761628	C₂³	1	8	yes	—
226	C₂×#11761628	C₂³	1	8	yes	complemented
227	C₂×#11761628	C₂³	1	8	yes	complemented
228	C₂×#11761627	—	4	4	no	—
229	C₂×#11761627	C₂³	1	8	yes	—
230	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic
231	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic
232	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
233	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
234	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
235	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
236	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
237	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
238	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
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×D₂₆₈	C₂³	1	1	yes	characteristic
245	C₂²×D₂₆₈	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	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
255	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
256	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
257	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
258	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
259	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
260	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
261	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
262	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
263	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
264	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
265	C₂²×C₄×D₆₇	—	4	4	no	—
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	1	yes	characteristic
273	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
274	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
275	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
276	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
277	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
278	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
279	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
280	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
281	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
282	C₂²×C₄×D₆₇	C₂³	1	8	yes	—
283	#14524042	C₂³	1	8	yes	complemented
284	#14524040	C₂³	1	8	yes	—
285	#14524039	C₂³	1	8	yes	—
286	#14524039	C₂³	1	8	yes	—
287	#14524039	C₂³	1	8	yes	—
288	#14524039	C₂³	1	8	yes	complemented
289	#14524038	C₂³	1	8	yes	—
290	#14524038	C₂³	1	8	yes	—
291	#14524038	C₂³	1	8	yes	—
292	#14524038	C₂³	1	8	yes	—
293	#14524038	C₂³	1	8	yes	—
294	#14524038	C₂³	1	8	yes	complemented
295	#14524038	C₂³	1	8	yes	complemented
296	#14524037	C₂³	1	8	yes	—
297	#14524036	C₂³	1	8	yes	—
298	#14524036	C₂³	1	8	yes	complemented
299	#14524034	C₂³	1	8	yes	complemented
300	#14524034	C₂³	1	8	yes	complemented
301	#14524033	C₂³	1	8	yes	complemented
302	#14524033	C₂³	1	8	yes	complemented
303	#14524033	C₂³	1	8	yes	complemented
304	#14524033	C₂³	1	8	yes	complemented
305	#14524033	C₂³	1	8	yes	complemented
306	#14524033	C₂³	1	8	yes	complemented
307	#14524028	C₂³	1	8	yes	—
308	#14524028	C₂³	1	8	yes	—
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	—
314	#14524028	C₂³	1	8	yes	complemented
315	#14524028	C₂³	1	8	yes	complemented
316	#14524028	C₂³	1	8	yes	complemented
317	#14524027	C₂³	1	8	yes	—
318	#14524027	C₂³	1	8	yes	complemented
319	#14524027	C₂³	1	8	yes	complemented
320	#14524026	C₂³	1	8	yes	—
321	#14524026	C₂³	1	8	yes	—
322	#14524026	C₂³	1	8	yes	complemented
323	#14524025	C₂³	1	8	yes	—
324	#14524025	C₂³	1	8	yes	—
325	#14524025	C₂³	1	8	yes	—
326	#14524025	C₂³	1	8	yes	—
327	#14524025	C₂³	1	8	yes	—
328	#14524025	C₂³	1	8	yes	complemented
329	#14524021	C₂³	1	8	yes	—
330	#14524021	C₂³	1	8	yes	—
331	#14524021	C₂³	1	8	yes	—
332	#14524021	C₂³	1	8	yes	complemented
333	#14524021	C₂³	1	8	yes	complemented
334	#14524020	C₂³	1	8	yes	—
335	#14524019	C₂³	1	8	yes	—
336	#14524019	C₂³	1	8	yes	complemented
337	#14524019	C₂³	1	8	yes	complemented
338	#14524018	C₂³	1	8	yes	—
339	#14524018	C₂³	1	8	yes	—
340	#14524018	C₂³	1	8	yes	—
341	#14524018	C₂³	1	8	yes	—
342	#14524018	C₂³	1	8	yes	—
343	#14524018	C₂³	1	8	yes	—
344	#14524018	C₂³	1	8	yes	—
345	#14524018	C₂³	1	8	yes	—
346	#14524018	C₂³	1	8	yes	complemented
347	#14524018	C₂³	1	8	yes	complemented
348	#14524018	C₂³	1	8	yes	complemented
349	#14524017	C₂³	1	8	yes	—
350	#14524017	C₂³	1	8	yes	—
351	#14524017	C₂³	1	8	yes	—
352	#14524017	C₂³	1	8	yes	—
353	#14524017	C₂³	1	8	yes	—
354	#14524017	C₂³	1	8	yes	—
355	#14524017	C₂³	1	8	yes	complemented
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	—
362	#14524016	C₂³	1	8	yes	—
363	#14524016	C₂³	1	8	yes	—
364	#14524016	C₂³	1	8	yes	—
365	#14524016	C₂³	1	8	yes	—
366	#14524016	C₂³	1	8	yes	—
367	#14524016	C₂³	1	8	yes	complemented
368	#14524016	C₂³	1	8	yes	complemented
369	#14524016	C₂³	1	8	yes	complemented
370	#14524016	C₂³	1	8	yes	complemented
371	#14524016	C₂³	1	8	yes	complemented
372	#14524015	C₂³	1	8	yes	—
373	#14524015	C₂³	1	8	yes	—
374	#14524015	C₂³	1	8	yes	—
375	#14524015	C₂³	1	8	yes	complemented
376	#14524014	C₂³	1	8	yes	—
377	#14524013	C₂³	1	8	yes	—
378	#14524013	C₂³	1	8	yes	—
379	#14524013	C₂³	1	8	yes	—
380	#14524013	C₂³	1	8	yes	—
381	#14524011	C₂³	1	8	yes	—
382	#14524011	C₂³	1	8	yes	—
383	C₄×Dic₁₃₄	C₂³	1	8	yes	complemented
384	#14524008	C₂³	1	8	yes	complemented
385	C₄×D₂₆₈	C₂³	1	8	yes	—
386	C₄×D₂₆₈	C₂³	1	8	yes	complemented
387	#14524005	C₂³	1	8	yes	—
388	#14524005	C₂³	1	8	yes	—
389	#14524005	C₂³	1	8	yes	—
390	#14524005	C₂³	1	8	yes	—
391	#14524005	C₂³	1	8	yes	complemented
392	#14524005	C₂³	1	8	yes	complemented
393	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	—
394	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	—
395	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	complemented
396	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	complemented
397	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	complemented
398	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	—
399	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	—
400	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	—
401	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	—
402	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	complemented
403	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	complemented
404	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	complemented
405	#14524001	C₂³	1	8	yes	—
406	#14524001	C₂³	1	8	yes	complemented
407	#14524001	C₂³	1	8	yes	complemented
408	#14524000	C₂³	1	8	yes	—
409	#14524000	C₂³	1	8	yes	complemented
410	#14524000	C₂³	1	8	yes	complemented
411	#14523999	C₂³	1	8	yes	—
412	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
413	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
414	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
415	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
416	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
417	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
418	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
419	C₂×C₄⋊Dic₆₇	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	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
435	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
436	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
437	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
438	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
439	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
440	C₂×Dic₆₇⋊C₄	C₂³	1	8	yes	complemented
441	C₄⋊C₄×D₆₇	C₂³	1	8	yes	complemented
442	C₄⋊C₄×D₆₇	C₂³	1	8	yes	complemented
443	C₄⋊C₄×D₆₇	C₂³	1	8	yes	complemented
444	C₄⋊C₄×D₆₇	C₂³	1	8	yes	complemented
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	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
474	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
475	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
476	C₂×(C₂×D₆₇)⋊C₄	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	—	4	2	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	1	yes	characteristic
543	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
544	C₂³×D₆₇	C₂⁴	1	4	yes	—
545	#11761629	—	4	16	no	—
546	#11761628	—	4	16	no	—
547	#11761628	—	4	16	no	—
548	#11761628	—	4	16	no	—
549	#11761627	—	4	16	no	—
550	C₂×Dic₁₃₄	—	2	4	no	—
551	C₂×Dic₁₃₄	—	2	4	no	—
552	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
553	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
554	C₂×D₂₆₈	—	4	2	no	—
555	C₂×D₂₆₈	—	4	2	no	—
556	C₂×D₂₆₈	—	4	2	no	—
557	C₂×D₂₆₈	—	4	2	no	—
558	C₂×D₂₆₈	—	4	2	no	—
559	C₂×D₂₆₈	—	4	2	no	—
560	C₂×D₂₆₈	—	4	2	no	—
561	C₂×D₂₆₈	—	4	2	no	—
562	C₂×D₂₆₈	—	4	2	no	—
563	C₂×D₂₆₈	—	4	2	no	—
564	C₂×D₂₆₈	—	4	2	no	—
565	C₂×D₂₆₈	—	4	2	no	—
566	C₂×D₂₆₈	—	4	2	no	—
567	C₂×D₂₆₈	—	4	2	no	—
568	C₂×D₂₆₈	C₂⁴	1	4	yes	—
569	C₂×D₂₆₈	C₂⁴	1	4	yes	—
570	C₂×D₂₆₈	C₂⁴	1	4	yes	—
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×D₂₆₈	C₂⁴	1	4	yes	—
577	C₂×D₂₆₈	C₂⁴	1	4	yes	—
578	C₂×D₂₆₈	C₂⁴	1	4	yes	—
579	C₂×D₂₆₈	C₂⁴	1	4	yes	—
580	C₂×D₂₆₈	C₂⁴	1	4	yes	—
581	C₂×D₂₆₈	C₂⁴	1	4	yes	—
582	C₂×C₂²⋊D₆₇	—	2	4	no	—
583	C₂×C₂²⋊D₆₇	—	2	4	no	—
584	C₂×C₂²⋊D₆₇	—	4	2	no	—
585	C₂×C₂²⋊D₆₇	—	4	2	no	—
586	C₂×C₂²⋊D₆₇	—	4	2	no	—
587	C₂×C₂²⋊D₆₇	—	4	2	no	—
588	C₂×C₂²⋊D₆₇	—	4	2	no	—
589	C₂×C₂²⋊D₆₇	—	4	2	no	—
590	C₂×C₂²⋊D₆₇	—	4	2	no	—
591	C₂×C₂²⋊D₆₇	—	4	2	no	—
592	C₂×C₂²⋊D₆₇	—	4	2	no	—
593	C₂×C₂²⋊D₆₇	—	4	2	no	—
594	C₂×C₂²⋊D₆₇	—	4	2	no	—
595	C₂×C₂²⋊D₆₇	—	4	2	no	—
596	C₂×C₂²⋊D₆₇	—	4	2	no	—
597	C₂×C₂²⋊D₆₇	—	4	2	no	—
598	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
599	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
600	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
601	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
602	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
603	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
604	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
605	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
606	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
607	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
608	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
609	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
610	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
611	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
612	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
613	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
614	C₂²×Dic₆₇	—	2	4	no	—
615	C₂²×Dic₆₇	—	4	2	no	—
616	C₂²×Dic₆₇	—	4	2	no	—
617	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
618	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
619	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
620	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
621	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
622	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
623	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
624	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
625	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
626	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
627	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
628	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
629	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
630	C₂×C₄×D₆₇	—	2	4	no	—
631	C₂×C₄×D₆₇	—	2	4	no	—
632	C₂×C₄×D₆₇	—	2	4	no	—
633	C₂×C₄×D₆₇	—	2	4	no	—
634	C₂×C₄×D₆₇	—	4	16	no	—
635	C₂×C₄×D₆₇	—	4	2	no	—
636	C₂×C₄×D₆₇	—	4	2	no	—
637	C₂×C₄×D₆₇	—	4	2	no	—
638	C₂×C₄×D₆₇	—	4	2	no	—
639	C₂×C₄×D₆₇	—	4	2	no	—
640	C₂×C₄×D₆₇	—	4	2	no	—
641	C₂×C₄×D₆₇	—	4	2	no	—
642	C₂×C₄×D₆₇	—	4	2	no	—
643	C₂×C₄×D₆₇	—	4	2	no	—
644	C₂×C₄×D₆₇	—	4	2	no	—
645	C₂×C₄×D₆₇	—	4	2	no	—
646	C₂×C₄×D₆₇	—	4	2	no	—
647	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
648	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
649	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
650	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
651	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
652	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
653	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
654	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
655	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
656	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
657	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
658	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
659	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
660	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
661	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
662	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
663	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
664	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
665	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
666	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
667	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
668	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
669	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
670	C₄⋊Dic₆₇	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	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
678	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
679	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
680	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
681	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
682	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
683	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
684	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
685	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
686	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
687	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
688	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
689	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
690	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
691	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
692	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
693	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
694	C₂²⋊Dic₆₇	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	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
712	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
713	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
714	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
715	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
716	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
717	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
718	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
719	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
720	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
721	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
722	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
723	C₄×Dic₆₇	C₂⁴	1	4	yes	—
724	C₄×Dic₆₇	C₂⁴	1	4	yes	—
725	C₄×Dic₆₇	C₂⁴	1	4	yes	—
726	C₄×Dic₆₇	C₂⁴	1	4	yes	—
727	C₄×Dic₆₇	C₂⁴	1	4	yes	—
728	C₄×Dic₆₇	C₂⁴	1	4	yes	—
729	C₄×Dic₆₇	C₂⁴	1	4	yes	—
730	C₄×Dic₆₇	C₂⁴	1	4	yes	—
731	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
732	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
733	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
734	C₂×Q₈×C₆₇	—	4	2	no	—
735	C₂×Q₈×C₆₇	C₂⁴	1	4	yes	—
736	C₂×D₄×C₆₇	—	4	2	no	—
737	C₂×D₄×C₆₇	—	4	2	no	—
738	C₂×D₄×C₆₇	—	4	2	no	—
739	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
740	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
741	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
742	C₂²×C₄×C₆₇	—	4	2	no	—
743	C₂²×C₄×C₆₇	—	4	2	no	—
744	C₂²×C₄×C₆₇	—	4	2	no	—
745	C₂²×C₄×C₆₇	—	4	2	no	—
746	C₂²×C₄×C₆₇	—	4	2	no	—
747	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
748	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
749	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
750	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
751	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
752	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
753	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
754	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
755	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
756	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
757	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
758	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
759	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
760	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
761	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
762	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
763	C₂²×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	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
769	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
770	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
771	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
772	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
773	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
774	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
775	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
776	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
777	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
778	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
779	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
780	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
781	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
782	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
783	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
784	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
785	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
786	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
787	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
788	C₄²×C₆₇	C₂⁴	1	4	yes	—
789	C₄²×C₆₇	C₂⁴	1	4	yes	—
790	C₂³×C₆₇	—	2	2	no	—
791	C₂³×C₆₇	—	2	2	no	—
792	C₂³×C₆₇	—	2	2	no	—
793	C₂³×C₆₇	—	2	2	no	—
794	C₂³×C₆₇	—	2	2	no	—
795	C₂³×C₆₇	—	2	2	no	—
796	C₂³×C₆₇	—	2	2	no	—
797	C₂³×C₆₇	—	2	2	no	—
798	C₂³×C₆₇	—	2	2	no	—
799	C₂³×C₆₇	C₂⁵	1	2	yes	—
800	C₂³×C₆₇	C₂⁵	1	2	yes	—
801	C₂³×C₆₇	C₂⁵	1	2	yes	—
802	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
803	C₂²×D₆₇	—	2	2	no	—
804	C₂²×D₆₇	—	2	2	no	—
805	C₂²×D₆₇	—	2	2	no	—
806	C₂²×D₆₇	—	2	2	no	—
807	C₂²×D₆₇	—	2	2	no	—
808	C₂²×D₆₇	—	2	2	no	—
809	C₂²×D₆₇	—	2	2	no	—
810	C₂²×D₆₇	—	2	2	no	—
811	C₂²×D₆₇	—	2	2	no	—
812	C₂²×D₆₇	—	2	2	no	—
813	C₂²×D₆₇	—	2	2	no	—
814	C₂²×D₆₇	—	2	2	no	—
815	C₂²×D₆₇	—	2	2	no	—
816	C₂²×D₆₇	—	2	2	no	—
817	C₂²×D₆₇	—	2	2	no	—
818	C₂²×D₆₇	—	2	2	no	—
819	C₂²×D₆₇	—	2	2	no	—
820	C₂²×D₆₇	—	2	2	no	—
821	C₂²×D₆₇	—	4	4	no	—
822	C₂²×D₆₇	—	4	4	no	—
823	C₂²×D₆₇	—	4	4	no	—
824	C₂²×D₆₇	—	4	16	no	—
825	C₂²×D₆₇	C₂⁵	1	2	yes	—
826	C₂²×D₆₇	C₂⁵	1	2	yes	—
827	C₂²×D₆₇	C₂⁵	1	2	yes	—
828	C₂²×D₆₇	C₂⁵	1	2	yes	—
829	C₂²×D₆₇	C₂⁵	1	2	yes	—
830	C₂²×D₆₇	C₂⁵	1	2	yes	—
831	Q₈×C₆₇	—	4	4	no	—
832	D₄×C₆₇	—	4	4	no	—
833	D₄×C₆₇	—	4	4	no	—
834	D₄×C₆₇	—	4	4	no	—
835	C₂×C₄×C₆₇	—	2	2	no	—
836	C₂×C₄×C₆₇	—	2	2	no	—
837	C₂×C₄×C₆₇	—	2	2	no	—
838	C₂×C₄×C₆₇	—	2	2	no	—
839	C₂×C₄×C₆₇	—	2	2	no	—
840	C₂×C₄×C₆₇	—	2	2	no	—
841	C₂×C₄×C₆₇	—	2	2	no	—
842	C₂×C₄×C₆₇	—	2	2	no	—
843	C₂×C₄×C₆₇	—	2	2	no	—
844	C₂×C₄×C₆₇	—	2	2	no	—
845	C₂×C₄×C₆₇	—	2	2	no	—
846	C₂×C₄×C₆₇	—	2	2	no	—
847	C₂×C₄×C₆₇	—	4	4	no	—
848	C₂×C₄×C₆₇	—	4	4	no	—
849	C₂×C₄×C₆₇	—	4	4	no	—
850	C₂×C₄×C₆₇	—	4	4	no	—
851	C₂×C₄×C₆₇	—	4	4	no	—
852	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
853	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
854	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
855	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
856	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
857	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
858	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
859	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
860	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
861	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
862	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
863	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
864	C₂²⋊D₆₇	—	2	8	no	—
865	C₂²⋊D₆₇	—	2	8	no	—
866	C₂²⋊D₆₇	—	4	4	no	—
867	C₂²⋊D₆₇	—	4	4	no	—
868	C₂²⋊D₆₇	—	4	4	no	—
869	C₂²⋊D₆₇	—	4	4	no	—
870	C₂²⋊D₆₇	—	4	4	no	—
871	C₂²⋊D₆₇	—	4	4	no	—
872	C₂²⋊D₆₇	—	4	4	no	—
873	C₂²⋊D₆₇	—	4	4	no	—
874	C₂²⋊D₆₇	—	4	4	no	—
875	C₂²⋊D₆₇	—	4	4	no	—
876	C₂²⋊D₆₇	—	4	4	no	—
877	C₂²⋊D₆₇	—	4	4	no	—
878	C₂²⋊D₆₇	—	4	4	no	—
879	C₂²⋊D₆₇	—	4	4	no	—
880	C₂×Dic₆₇	—	2	2	no	—
881	C₂×Dic₆₇	—	2	2	no	—
882	C₂×Dic₆₇	—	2	2	no	—
883	C₂×Dic₆₇	—	2	2	no	—
884	C₂×Dic₆₇	—	2	2	no	—
885	C₂×Dic₆₇	—	2	2	no	—
886	C₂×Dic₆₇	—	2	2	no	—
887	C₂×Dic₆₇	—	2	2	no	—
888	C₂×Dic₆₇	—	2	2	no	—
889	C₂×Dic₆₇	—	2	8	no	—
890	C₂×Dic₆₇	—	4	4	no	—
891	C₂×Dic₆₇	—	4	4	no	—
892	C₂×Dic₆₇	H(5,𝔽₂)	1	4	yes	—
893	C₂×Dic₆₇	C₂⁵	1	2	yes	—
894	C₂×Dic₆₇	C₂⁵	1	2	yes	—
895	C₂×Dic₆₇	C₂⁵	1	2	yes	—
896	C₂×Dic₆₇	C₂⁵	1	2	yes	—
897	C₂×Dic₆₇	C₂⁵	1	2	yes	—
898	C₂×Dic₆₇	C₂⁵	1	2	yes	—
899	C₂×Dic₆₇	C₂⁵	1	2	yes	—
900	C₂×Dic₆₇	C₂⁵	1	2	yes	—
901	C₂×Dic₆₇	C₂⁵	1	2	yes	—
902	C₂×Dic₆₇	C₂⁵	1	2	yes	—
903	D₂₆₈	—	4	4	no	—
904	D₂₆₈	—	4	4	no	—
905	D₂₆₈	—	4	4	no	—
906	D₂₆₈	—	4	4	no	—
907	D₂₆₈	—	4	4	no	—
908	D₂₆₈	—	4	4	no	—
909	D₂₆₈	—	4	4	no	—
910	D₂₆₈	—	4	4	no	—
911	D₂₆₈	—	4	4	no	—
912	D₂₆₈	—	4	4	no	—
913	D₂₆₈	—	4	4	no	—
914	D₂₆₈	—	4	4	no	—
915	D₂₆₈	—	4	4	no	—
916	D₂₆₈	—	4	4	no	—
917	C₄×D₆₇	—	2	8	no	—
918	C₄×D₆₇	—	2	8	no	—
919	C₄×D₆₇	—	2	8	no	—
920	C₄×D₆₇	—	2	8	no	—
921	C₄×D₆₇	—	4	4	no	—
922	C₄×D₆₇	—	4	4	no	—
923	C₄×D₆₇	—	4	4	no	—
924	C₄×D₆₇	—	4	4	no	—
925	C₄×D₆₇	—	4	4	no	—
926	C₄×D₆₇	—	4	4	no	—
927	C₄×D₆₇	—	4	4	no	—
928	C₄×D₆₇	—	4	4	no	—
929	C₄×D₆₇	—	4	4	no	—
930	C₄×D₆₇	—	4	4	no	—
931	C₄×D₆₇	—	4	4	no	—
932	C₄×D₆₇	—	4	4	no	—
933	Dic₁₃₄	—	2	8	no	—
934	Dic₁₃₄	—	2	8	no	—
935	C₂²×C₆₇	—	2	2	no	—
936	C₂²×C₆₇	—	2	2	no	—
937	C₂²×C₆₇	—	2	2	no	—
938	C₂²×C₆₇	—	2	2	no	—
939	C₂²×C₆₇	—	2	2	no	—
940	C₂²×C₆₇	—	2	2	no	—
941	C₂²×C₆₇	—	2	2	no	—
942	C₂²×C₆₇	—	2	2	no	—
943	C₂²×C₆₇	—	2	2	no	—
944	C₂²×C₆₇	—	4	4	no	—
945	C₂²×C₆₇	—	4	4	no	—
946	C₂²×C₆₇	—	4	4	no	—
947	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
948	C₂²×C₆₇	#585	1	2	yes	—
949	C₂²×C₆₇	#585	1	2	yes	—
950	C₂²×C₆₇	C₂⁶	1	1	yes	characteristic
951	C₂×D₆₇	—	2	2	no	—
952	C₂×D₆₇	—	2	2	no	—
953	C₂×D₆₇	—	2	2	no	—
954	C₂×D₆₇	—	2	2	no	—
955	C₂×D₆₇	—	2	2	no	—
956	C₂×D₆₇	—	2	2	no	—
957	C₂×D₆₇	—	2	2	no	—
958	C₂×D₆₇	—	2	2	no	—
959	C₂×D₆₇	—	2	2	no	—
960	C₂×D₆₇	—	2	2	no	—
961	C₂×D₆₇	—	2	2	no	—
962	C₂×D₆₇	—	2	2	no	—
963	C₂×D₆₇	—	2	2	no	—
964	C₂×D₆₇	—	2	2	no	—
965	C₂×D₆₇	—	2	2	no	—
966	C₂×D₆₇	—	2	2	no	—
967	C₂×D₆₇	—	2	2	no	—
968	C₂×D₆₇	—	2	2	no	—
969	C₂×D₆₇	—	4	16	no	—
970	C₂×D₆₇	—	4	4	no	—
971	C₂×D₆₇	—	4	4	no	—
972	C₂×D₆₇	—	4	4	no	—
973	C₂×D₆₇	—	4	4	no	—
974	C₂×D₆₇	—	4	4	no	—
975	C₂×D₆₇	—	4	4	no	—
976	C₄×C₆₇	—	2	2	no	—
977	C₄×C₆₇	—	2	2	no	—
978	C₄×C₆₇	—	2	2	no	—
979	C₄×C₆₇	—	2	2	no	—
980	C₄×C₆₇	—	2	2	no	—
981	C₄×C₆₇	—	2	2	no	—
982	C₄×C₆₇	—	2	2	no	—
983	C₄×C₆₇	—	2	2	no	—
984	C₄×C₆₇	—	2	2	no	—
985	C₄×C₆₇	—	2	2	no	—
986	C₄×C₆₇	—	2	2	no	—
987	C₄×C₆₇	—	2	2	no	—
988	Dic₆₇	—	2	2	no	—
989	Dic₆₇	—	2	2	no	—
990	Dic₆₇	—	2	2	no	—
991	Dic₆₇	—	2	2	no	—
992	Dic₆₇	—	2	2	no	—
993	Dic₆₇	—	2	2	no	—
994	Dic₆₇	—	2	2	no	—
995	Dic₆₇	—	2	2	no	—
996	Dic₆₇	—	2	2	no	—
997	Dic₆₇	C₂×H(5,𝔽₂)	1	4	yes	—
998	C₂×#3539	—	67	1	no	maximal, Sylow
999	C₂×C₆₇	—	4	2	no	—
1000	C₂×C₆₇	—	4	2	no	—
1001	C₂×C₆₇	—	4	2	no	—
1002	C₂×C₆₇	#3539	1	4	yes	complemented
1003	C₂×C₆₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1004	C₂×C₆₇	C₂×#585	1	1	yes	characteristic
1005	C₂×C₆₇	C₂×#585	1	1	yes	characteristic
1006	D₆₇	—	4	2	no	—
1007	D₆₇	—	4	2	no	—
1008	D₆₇	—	4	2	no	—
1009	D₆₇	—	4	2	no	—
1010	D₆₇	—	4	2	no	—
1011	D₆₇	—	4	2	no	—
1012	#3539	—	67	32	no	—
1013	C₂×#560	—	67	1	no	—
1014	C₂×#560	—	67	1	no	—
1015	C₂×#560	—	67	1	no	—
1016	C₂×#560	—	67	1	no	—
1017	C₂×#553	—	67	1	no	—
1018	C₂×#553	—	67	1	no	—
1019	C₂×#553	—	67	1	no	—
1020	C₂×#553	—	67	1	no	—
1021	C₂×#553	—	67	1	no	—
1022	C₂×#553	—	67	1	no	—
1023	C₂×#552	—	67	1	no	—
1024	C₂×#552	—	67	1	no	—
1025	C₂×#550	—	67	1	no	—
1026	C₂×#550	—	67	1	no	—
1027	C₂×#547	—	67	1	no	—
1028	C₂×#547	—	67	1	no	—
1029	C₂×#541	—	67	1	no	—
1030	C₂×#540	—	67	1	no	—
1031	C₂×#540	—	67	1	no	—
1032	C₂×#540	—	67	1	no	—
1033	C₂×#540	—	67	1	no	—
1034	C₂×#540	—	67	1	no	—
1035	C₂×#539	—	67	1	no	—
1036	C₂×#539	—	67	1	no	—
1037	C₂×#539	—	67	1	no	—
1038	C₂×#539	D₆₇	1	1	yes	characteristic, complemented
1039	C₂×#537	—	67	1	no	—
1040	C₂×#537	—	67	1	no	—
1041	C₂×#525	—	67	1	no	—
1042	C₂×#525	—	67	1	no	—
1043	C₂×#525	—	67	1	no	—
1044	C₆₇	C₂×#3539	1	1	yes	characteristic, complemented, Sylow
1045	C₂²×#41	—	67	1	no	—
1046	C₂²×#41	—	67	1	no	—
1047	C₂²×#41	—	67	1	no	—
1048	C₂²×#41	—	67	1	no	—
1049	C₂²×#41	—	67	1	no	—
1050	C₂⁴×C₄	—	67	1	no	—
1051	#560	—	67	16	no	—
1052	#560	—	67	16	no	—
1053	#560	—	67	16	no	—
1054	#560	—	67	16	no	—
1055	#553	—	67	16	no	—
1056	#553	—	67	16	no	—
1057	#553	—	67	16	no	—
1058	#553	—	67	16	no	—
1059	#553	—	67	16	no	—
1060	#553	—	67	16	no	—
1061	#552	—	67	16	no	—
1062	#552	—	67	16	no	—
1063	#550	—	67	16	no	—
1064	#550	—	67	16	no	—
1065	#547	—	67	16	no	—
1066	#547	—	67	16	no	—
1067	#541	—	67	16	no	—
1068	#540	—	67	16	no	—
1069	#540	—	67	16	no	—
1070	#540	—	67	16	no	—
1071	#540	—	67	16	no	—
1072	#540	—	67	16	no	—
1073	#539	—	67	16	no	—
1074	#539	—	67	16	no	—
1075	#539	—	67	16	no	—
1076	#539	C₂×D₆₇	1	16	yes	complemented
1077	#537	—	67	16	no	—
1078	#537	—	67	16	no	—
1079	C₂×C₄⋊Q₈	—	67	1	no	—
1080	C₂×#127	—	67	1	no	—
1081	C₂×#127	—	67	1	no	—
1082	C₂×#127	—	67	1	no	—
1083	C₂×#127	—	67	1	no	—
1084	C₂×#127	—	67	1	no	—
1085	C₂×#126	—	67	1	no	—
1086	C₂×#126	—	67	1	no	—
1087	C₂×#126	—	67	1	no	—
1088	C₂×#126	—	67	1	no	—
1089	C₂×#126	—	67	1	no	—
1090	C₂×#126	—	67	1	no	—
1091	C₂×#126	—	67	1	no	—
1092	C₂×#126	—	67	1	no	—
1093	C₂×#126	—	67	1	no	—
1094	C₂×#126	—	67	1	no	—
1095	C₂×#126	C₂×D₆₇	1	1	yes	characteristic
1096	C₂×#126	C₂×D₆₇	1	1	yes	characteristic, complemented
1097	C₂×#125	—	67	1	no	—
1098	C₂×#125	—	67	1	no	—
1099	C₂×#125	—	67	1	no	—
1100	C₂×#125	—	67	1	no	—
1101	C₂×#125	—	67	1	no	—
1102	C₂×#125	—	67	1	no	—
1103	C₂×#125	—	67	1	no	—
1104	C₂×#125	—	67	1	no	—
1105	C₂×#125	C₂×D₆₇	1	1	yes	characteristic, complemented
1106	C₂×#125	C₂×D₆₇	1	1	yes	characteristic, complemented
1107	#525	—	67	16	no	—
1108	#525	—	67	16	no	—
1109	#525	—	67	16	no	—
1110	C₂×#123	—	67	1	no	—
1111	C₂×#123	—	67	1	no	—
1112	C₂×#123	—	67	1	no	—
1113	C₂×#123	—	67	1	no	—
1114	C₂×#123	—	67	1	no	—
1115	C₂×#123	—	67	1	no	—
1116	C₂×#123	—	67	1	no	—
1117	C₂×#123	—	67	1	no	—
1118	C₂×#123	—	67	1	no	—
1119	C₂×#123	—	67	1	no	—
1120	C₂×#123	—	67	1	no	—
1121	C₂×#123	—	67	1	no	—
1122	C₂×#123	—	67	1	no	—
1123	C₂×#123	—	67	1	no	—
1124	C₂×#123	—	67	1	no	—
1125	C₂×#123	—	67	1	no	—
1126	C₂×#123	—	67	1	no	—
1127	C₂×#123	—	67	1	no	—
1128	C₂×#123	—	67	1	no	—
1129	C₂×#123	—	67	1	no	—
1130	C₂×#123	—	67	1	no	—
1131	C₂×#123	—	67	1	no	—
1132	C₂×#123	C₂×D₆₇	1	1	yes	characteristic
1133	C₂×#123	C₂×D₆₇	1	1	yes	characteristic
1134	C₂×#123	C₂×D₆₇	1	1	yes	characteristic
1135	C₂×#123	C₂×D₆₇	1	1	yes	characteristic, complemented
1136	C₂×C₂²⋊Q₈	—	67	1	no	—
1137	C₂×C₂²⋊Q₈	—	67	1	no	—
1138	C₂×C₂²⋊Q₈	—	67	1	no	—
1139	C₂×C₂²⋊Q₈	—	67	1	no	—
1140	C₂×C₂²⋊Q₈	—	67	1	no	—
1141	C₂×C₂²⋊Q₈	—	67	1	no	—
1142	C₂×C₂²⋊Q₈	—	67	1	no	—
1143	C₂×C₂²⋊Q₈	—	67	1	no	—
1144	C₂×C₂²⋊Q₈	—	67	1	no	—
1145	C₂×C₂²⋊Q₈	C₂×D₆₇	1	1	yes	characteristic
1146	C₂×C₂²⋊Q₈	C₂×D₆₇	1	1	yes	characteristic, complemented
1147	C₂×C₂²⋊Q₈	C₂×D₆₇	1	1	yes	characteristic, complemented
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	—	67	1	no	—
1158	C₂×#121	—	67	1	no	—
1159	C₂×#121	—	67	1	no	—
1160	C₂×#121	—	67	1	no	—
1161	C₂×#121	—	67	1	no	—
1162	C₂×#121	—	67	1	no	—
1163	C₂×#121	—	67	1	no	—
1164	C₂×#121	—	67	1	no	—
1165	C₂×#121	—	67	1	no	—
1166	C₂×#121	—	67	1	no	—
1167	C₂×#121	—	67	1	no	—
1168	C₂×#121	—	67	1	no	—
1169	C₂×#121	—	67	1	no	—
1170	C₂×#121	—	67	1	no	—
1171	C₂×#121	—	67	1	no	—
1172	C₂×#121	—	67	1	no	—
1173	C₂×#121	—	67	1	no	—
1174	C₂×#121	—	67	1	no	—
1175	C₂×#121	—	67	1	no	—
1176	C₂×#121	—	67	1	no	—
1177	C₂×#121	—	67	1	no	—
1178	C₂×#121	—	67	1	no	—
1179	C₂×#121	—	67	1	no	—
1180	C₂×#121	—	67	1	no	—
1181	C₂×#121	—	67	1	no	—
1182	C₂×#121	—	67	1	no	—
1183	C₂×#121	—	67	1	no	—
1184	C₂×#121	—	67	1	no	—
1185	C₂×#121	—	67	1	no	—
1186	C₂×#121	—	67	1	no	—
1187	C₂×#121	C₂×D₆₇	1	1	yes	characteristic
1188	C₂×#120	—	67	1	no	—
1189	C₂×#120	—	67	1	no	—
1190	C₂×#120	—	67	1	no	—
1191	C₂×#120	—	67	1	no	—
1192	C₂×#120	—	67	1	no	—
1193	C₂×#120	—	67	1	no	—
1194	C₂×C₄×Q₈	—	67	1	no	—
1195	C₂×C₄×Q₈	—	67	1	no	—
1196	C₂×C₄×D₄	—	67	1	no	—
1197	C₂×C₄×D₄	—	67	1	no	—
1198	C₂×C₄×D₄	—	67	1	no	—
1199	C₂×C₄×D₄	—	67	1	no	—
1200	C₂×C₄×D₄	—	67	1	no	—
1201	C₂×C₄×D₄	—	67	1	no	—
1202	C₂×C₄×D₄	—	67	1	no	—
1203	C₂×C₄×D₄	—	67	1	no	—
1204	C₂×C₄×D₄	—	67	1	no	—
1205	C₂×C₄×D₄	—	67	1	no	—
1206	C₂×C₄×D₄	—	67	1	no	—
1207	C₂×C₄×D₄	—	67	1	no	—
1208	C₂×C₄×D₄	—	67	1	no	—
1209	C₂×C₄×D₄	—	67	1	no	—
1210	C₂×C₄×D₄	—	67	1	no	—
1211	C₂×C₄×D₄	—	67	1	no	—
1212	C₂×C₄×D₄	—	67	1	no	—
1213	C₂×C₄×D₄	—	67	1	no	—
1214	C₂×C₄×D₄	—	67	1	no	—
1215	C₂×C₄×D₄	—	67	1	no	—
1216	C₂×C₄×D₄	C₂×D₆₇	1	1	yes	characteristic
1217	C₂×C₄×D₄	C₂×D₆₇	1	1	yes	characteristic, complemented
1218	C₂×#117	—	67	1	no	—
1219	C₂×#117	—	67	1	no	—
1220	C₂×#117	—	67	1	no	—
1221	C₂×#117	—	67	1	no	—
1222	C₂×#117	—	67	1	no	—
1223	C₂×#117	—	67	1	no	—
1224	C₂×#117	—	67	1	no	—
1225	C₂²×C₄⋊C₄	—	67	1	no	—
1226	C₂²×C₄⋊C₄	—	67	1	no	—
1227	C₂²×C₄⋊C₄	—	67	1	no	—
1228	C₂²×C₄⋊C₄	—	67	1	no	—
1229	C₂²×C₄⋊C₄	—	67	1	no	—
1230	C₂²×C₄⋊C₄	C₂×D₆₇	1	1	yes	characteristic, complemented
1231	C₂⁵	—	67	1	no	—
1232	C₂×#41	—	268	4	no	—
1233	C₂×#41	—	268	4	no	—
1234	C₂×#41	—	268	4	no	—
1235	C₂×#41	—	268	4	no	—
1236	C₂×#41	—	268	4	no	—
1237	C₂×#41	—	67	8	no	—
1238	C₂×#41	—	67	8	no	—
1239	C₂×#41	—	67	8	no	—
1240	C₂×#41	—	67	8	no	—
1241	C₂×#41	—	67	8	no	—
1242	C₂²×Q₈	—	67	1	no	—
1243	C₂²×Q₈	—	67	1	no	—
1244	C₂²×Q₈	C₂²×D₆₇	1	1	yes	characteristic
1245	C₂²×D₄	—	67	1	no	—
1246	C₂²×D₄	—	67	1	no	—
1247	C₂²×D₄	—	67	1	no	—
1248	C₂²×D₄	—	67	1	no	—
1249	C₂²×D₄	—	67	1	no	—
1250	C₂²×D₄	—	67	1	no	—
1251	C₂²×D₄	—	67	1	no	—
1252	C₂²×D₄	—	67	1	no	—
1253	C₂²×D₄	—	67	1	no	—
1254	C₂²×D₄	—	67	1	no	—
1255	C₂²×D₄	—	67	1	no	—
1256	C₂²×D₄	—	67	1	no	—
1257	C₂²×D₄	—	67	1	no	—
1258	C₂²×D₄	—	67	1	no	—
1259	C₂²×D₄	—	67	1	no	—
1260	C₂²×D₄	—	67	1	no	—
1261	C₂²×D₄	—	67	1	no	—
1262	C₂²×D₄	—	67	1	no	—
1263	C₂²×D₄	—	67	1	no	—
1264	C₂²×D₄	—	67	1	no	—
1265	C₂²×D₄	—	67	1	no	—
1266	C₂²×D₄	—	67	1	no	—
1267	C₂²×D₄	—	67	1	no	—
1268	C₂²×D₄	—	67	1	no	—
1269	C₂²×D₄	—	67	1	no	—
1270	C₂²×D₄	—	67	1	no	—
1271	C₂²×D₄	—	67	1	no	—
1272	C₂²×D₄	—	67	1	no	—
1273	C₂²×D₄	—	67	1	no	—
1274	C₂²×D₄	—	67	1	no	—
1275	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1276	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1277	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1278	C₂³×C₄	—	268	4	no	—
1279	C₂³×C₄	—	67	1	no	—
1280	C₂³×C₄	—	67	1	no	—
1281	C₂³×C₄	—	67	1	no	—
1282	C₂³×C₄	—	67	1	no	—
1283	C₂³×C₄	—	67	1	no	—
1284	C₂³×C₄	—	67	1	no	—
1285	C₂³×C₄	—	67	1	no	—
1286	C₂³×C₄	—	67	1	no	—
1287	C₂³×C₄	—	67	1	no	—
1288	C₂³×C₄	—	67	1	no	—
1289	C₂³×C₄	—	67	1	no	—
1290	C₂³×C₄	—	67	1	no	—
1291	C₂³×C₄	—	67	1	no	—
1292	C₂³×C₄	—	67	1	no	—
1293	C₂³×C₄	—	67	8	no	—
1294	C₂³×C₄	—	67	1	no	—
1295	C₂³×C₄	—	67	1	no	—
1296	C₂³×C₄	—	67	1	no	—
1297	C₂³×C₄	—	67	1	no	—
1298	C₂³×C₄	—	67	1	no	—
1299	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1300	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1301	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1302	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1303	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1304	C₄⋊Q₈	—	67	8	no	—
1305	#127	—	67	8	no	—
1306	#127	—	67	8	no	—
1307	#127	—	67	8	no	—
1308	#127	—	67	8	no	—
1309	#127	—	67	8	no	—
1310	#126	—	67	8	no	—
1311	#126	—	67	8	no	—
1312	#126	—	67	8	no	—
1313	#126	—	67	8	no	—
1314	#126	—	67	8	no	—
1315	#126	—	67	8	no	—
1316	#126	—	67	8	no	—
1317	#126	—	67	8	no	—
1318	#126	—	67	8	no	—
1319	#126	—	67	8	no	—
1320	#126	C₂²×D₆₇	1	8	yes	—
1321	#126	C₂²×D₆₇	1	8	yes	complemented
1322	#125	—	67	8	no	—
1323	#125	—	67	8	no	—
1324	#125	—	67	8	no	—
1325	#125	—	67	8	no	—
1326	#125	—	67	8	no	—
1327	#125	—	67	8	no	—
1328	#125	—	67	8	no	—
1329	#125	—	67	8	no	—
1330	#125	C₂²×D₆₇	1	8	yes	complemented
1331	#125	C₂²×D₆₇	1	8	yes	complemented
1332	#123	—	67	8	no	—
1333	#123	—	67	8	no	—
1334	#123	—	67	8	no	—
1335	#123	—	67	8	no	—
1336	#123	—	67	8	no	—
1337	#123	—	67	8	no	—
1338	#123	—	67	8	no	—
1339	#123	—	67	8	no	—
1340	#123	—	67	8	no	—
1341	#123	—	67	8	no	—
1342	#123	—	67	8	no	—
1343	#123	—	67	8	no	—
1344	#123	—	67	8	no	—
1345	#123	—	67	8	no	—
1346	#123	—	67	8	no	—
1347	#123	—	67	8	no	—
1348	#123	—	67	8	no	—
1349	#123	—	67	8	no	—
1350	#123	—	67	8	no	—
1351	#123	—	67	8	no	—
1352	#123	—	67	8	no	—
1353	#123	—	67	8	no	—
1354	#123	C₂²×D₆₇	1	8	yes	—
1355	#123	C₂²×D₆₇	1	8	yes	—
1356	#123	C₂²×D₆₇	1	8	yes	—
1357	#123	C₂²×D₆₇	1	8	yes	complemented
1358	C₂²⋊Q₈	—	67	8	no	—
1359	C₂²⋊Q₈	—	67	8	no	—
1360	C₂²⋊Q₈	—	67	8	no	—
1361	C₂²⋊Q₈	—	67	8	no	—
1362	C₂²⋊Q₈	—	67	8	no	—
1363	C₂²⋊Q₈	—	67	8	no	—
1364	C₂²⋊Q₈	—	67	8	no	—
1365	C₂²⋊Q₈	—	67	8	no	—
1366	C₂²⋊Q₈	—	67	8	no	—
1367	C₂²⋊Q₈	C₂²×D₆₇	1	8	yes	—
1368	C₂²⋊Q₈	C₂²×D₆₇	1	8	yes	complemented
1369	C₂²⋊Q₈	C₂²×D₆₇	1	8	yes	complemented
1370	#121	—	67	8	no	—
1371	#121	—	67	8	no	—
1372	#121	—	67	8	no	—
1373	#121	—	67	8	no	—
1374	#121	—	67	8	no	—
1375	#121	—	67	8	no	—
1376	#121	—	67	8	no	—
1377	#121	—	67	8	no	—
1378	#121	—	67	8	no	—
1379	#121	—	67	8	no	—
1380	#121	—	67	8	no	—
1381	#121	—	67	8	no	—
1382	#121	—	67	8	no	—
1383	#121	—	67	8	no	—
1384	#121	—	67	8	no	—
1385	#121	—	67	8	no	—
1386	#121	—	67	8	no	—
1387	#121	—	67	8	no	—
1388	#121	—	67	8	no	—
1389	#121	—	67	8	no	—
1390	#121	—	67	8	no	—
1391	#121	—	67	8	no	—
1392	#121	—	67	8	no	—
1393	#121	—	67	8	no	—
1394	#121	—	67	8	no	—
1395	#121	—	67	8	no	—
1396	#121	—	67	8	no	—
1397	#121	—	67	8	no	—
1398	#121	—	67	8	no	—
1399	#121	—	67	8	no	—
1400	#121	—	67	8	no	—
1401	#121	—	67	8	no	—
1402	#121	—	67	8	no	—
1403	#121	—	67	8	no	—
1404	#121	—	67	8	no	—
1405	#121	—	67	8	no	—
1406	#121	—	67	8	no	—
1407	#121	—	67	8	no	—
1408	#121	—	67	8	no	—
1409	#121	C₂²×D₆₇	1	8	yes	—
1410	#120	—	67	8	no	—
1411	#120	—	67	8	no	—
1412	#120	—	67	8	no	—
1413	#120	—	67	8	no	—
1414	#120	—	67	8	no	—
1415	#120	—	67	8	no	—
1416	C₄×Q₈	—	67	8	no	—
1417	C₄×Q₈	—	67	8	no	—
1418	C₄×D₄	—	67	8	no	—
1419	C₄×D₄	—	67	8	no	—
1420	C₄×D₄	—	67	8	no	—
1421	C₄×D₄	—	67	8	no	—
1422	C₄×D₄	—	67	8	no	—
1423	C₄×D₄	—	67	8	no	—
1424	C₄×D₄	—	67	8	no	—
1425	C₄×D₄	—	67	8	no	—
1426	C₄×D₄	—	67	8	no	—
1427	C₄×D₄	—	67	8	no	—
1428	C₄×D₄	—	67	8	no	—
1429	C₄×D₄	—	67	8	no	—
1430	C₄×D₄	—	67	8	no	—
1431	C₄×D₄	—	67	8	no	—
1432	C₄×D₄	—	67	8	no	—
1433	C₄×D₄	—	67	8	no	—
1434	C₄×D₄	—	67	8	no	—
1435	C₄×D₄	—	67	8	no	—
1436	C₄×D₄	—	67	8	no	—
1437	C₄×D₄	—	67	8	no	—
1438	C₄×D₄	C₂²×D₆₇	1	8	yes	—
1439	C₄×D₄	C₂²×D₆₇	1	8	yes	complemented
1440	#117	—	67	8	no	—
1441	#117	—	67	8	no	—
1442	#117	—	67	8	no	—
1443	#117	—	67	8	no	—
1444	#117	—	67	8	no	—
1445	#117	—	67	8	no	—
1446	#117	—	67	8	no	—
1447	C₂×C₄⋊C₄	—	67	1	no	—
1448	C₂×C₄⋊C₄	—	67	1	no	—
1449	C₂×C₄⋊C₄	—	67	1	no	—
1450	C₂×C₄⋊C₄	—	67	1	no	—
1451	C₂×C₄⋊C₄	—	67	1	no	—
1452	C₂×C₄⋊C₄	—	67	1	no	—
1453	C₂×C₄⋊C₄	—	67	1	no	—
1454	C₂×C₄⋊C₄	—	67	1	no	—
1455	C₂×C₄⋊C₄	—	67	1	no	—
1456	C₂×C₄⋊C₄	—	67	1	no	—
1457	C₂×C₄⋊C₄	—	67	1	no	—
1458	C₂×C₄⋊C₄	—	67	1	no	—
1459	C₂×C₄⋊C₄	—	67	1	no	—
1460	C₂×C₄⋊C₄	—	67	1	no	—
1461	C₂×C₄⋊C₄	—	67	1	no	—
1462	C₂×C₄⋊C₄	—	67	8	no	—
1463	C₂×C₄⋊C₄	—	67	1	no	—
1464	C₂×C₄⋊C₄	—	67	1	no	—
1465	C₂×C₄⋊C₄	—	67	1	no	—
1466	C₂×C₄⋊C₄	—	67	1	no	—
1467	C₂×C₄⋊C₄	—	67	1	no	—
1468	C₂×C₄⋊C₄	—	67	1	no	—
1469	C₂×C₄⋊C₄	—	67	1	no	—
1470	C₂×C₄⋊C₄	—	67	1	no	—
1471	C₂×C₄⋊C₄	—	67	1	no	—
1472	C₂×C₄⋊C₄	—	67	1	no	—
1473	C₂×C₄⋊C₄	—	67	1	no	—
1474	C₂×C₄⋊C₄	—	67	1	no	—
1475	C₂×C₄⋊C₄	—	67	1	no	—
1476	C₂×C₄⋊C₄	—	67	8	no	—
1477	C₂×C₄⋊C₄	—	67	8	no	—
1478	C₂×C₄⋊C₄	—	67	8	no	—
1479	C₂×C₄⋊C₄	—	67	8	no	—
1480	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1481	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1482	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1483	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1484	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1485	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1486	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1487	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1488	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1489	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1490	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1491	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1492	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1493	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1494	C₂×C₄⋊C₄	C₂²×D₆₇	1	8	yes	complemented
1495	C₂×C₂²⋊C₄	—	67	1	no	—
1496	C₂×C₂²⋊C₄	—	67	1	no	—
1497	C₂×C₂²⋊C₄	—	67	1	no	—
1498	C₂×C₂²⋊C₄	—	67	1	no	—
1499	C₂×C₂²⋊C₄	—	67	1	no	—
1500	C₂×C₂²⋊C₄	—	67	1	no	—
1501	C₂×C₂²⋊C₄	—	67	1	no	—
1502	C₂×C₂²⋊C₄	—	67	1	no	—
1503	C₂×C₂²⋊C₄	—	67	1	no	—
1504	C₂×C₂²⋊C₄	—	67	1	no	—
1505	C₂×C₂²⋊C₄	—	67	1	no	—
1506	C₂×C₂²⋊C₄	—	67	1	no	—
1507	C₂×C₂²⋊C₄	—	67	1	no	—
1508	C₂×C₂²⋊C₄	—	67	1	no	—
1509	C₂×C₂²⋊C₄	—	67	1	no	—
1510	C₂×C₂²⋊C₄	—	67	1	no	—
1511	C₂×C₂²⋊C₄	—	67	1	no	—
1512	C₂×C₂²⋊C₄	—	67	1	no	—
1513	C₂×C₂²⋊C₄	—	67	1	no	—
1514	C₂×C₂²⋊C₄	—	67	1	no	—
1515	C₂×C₂²⋊C₄	—	67	1	no	—
1516	C₂×C₂²⋊C₄	—	67	1	no	—
1517	C₂×C₂²⋊C₄	—	67	1	no	—
1518	C₂×C₂²⋊C₄	—	67	1	no	—
1519	C₂×C₂²⋊C₄	—	67	1	no	—
1520	C₂×C₂²⋊C₄	—	67	1	no	—
1521	C₂×C₂²⋊C₄	—	67	1	no	—
1522	C₂×C₂²⋊C₄	—	67	1	no	—
1523	C₂×C₂²⋊C₄	—	67	1	no	—
1524	C₂×C₂²⋊C₄	—	67	1	no	—
1525	C₂×C₂²⋊C₄	—	67	1	no	—
1526	C₂×C₂²⋊C₄	—	67	1	no	—
1527	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1528	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1529	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1530	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1531	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1532	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1533	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1534	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1535	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1536	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1537	C₂×C₄²	—	67	1	no	—
1538	C₂×C₄²	—	67	1	no	—
1539	C₂×C₄²	—	67	1	no	—
1540	C₂×C₄²	—	67	1	no	—
1541	C₂×C₄²	—	67	1	no	—
1542	C₂×C₄²	—	67	1	no	—
1543	C₂×C₄²	—	67	1	no	—
1544	C₂×C₄²	—	67	1	no	—
1545	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
1546	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
1547	C₂⁴	—	268	2	no	—
1548	C₂⁴	—	268	2	no	—
1549	C₂⁴	—	268	2	no	—
1550	C₂⁴	—	67	4	no	—
1551	C₂⁴	—	67	1	no	—
1552	C₂⁴	—	67	1	no	—
1553	C₂⁴	—	67	1	no	—
1554	C₂⁴	—	67	1	no	—
1555	C₂⁴	—	67	1	no	—
1556	C₂⁴	—	67	1	no	—
1557	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1558	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1559	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1560	#41	—	268	16	no	—
1561	#41	—	268	16	no	—
1562	#41	—	268	16	no	—
1563	#41	—	268	16	no	—
1564	#41	—	268	16	no	—
1565	C₂×Q₈	—	4	2	no	—
1566	C₂×Q₈	—	67	4	no	—
1567	C₂×Q₈	—	67	4	no	—
1568	C₂×Q₈	—	134	4	no	—
1569	C₂×Q₈	—	134	4	no	—
1570	C₂×Q₈	C₂³×D₆₇	1	4	yes	—
1571	C₂×D₄	—	4	2	no	—
1572	C₂×D₄	—	4	2	no	—
1573	C₂×D₄	—	4	2	no	—
1574	C₂×D₄	—	268	2	no	—
1575	C₂×D₄	—	268	2	no	—
1576	C₂×D₄	—	268	2	no	—
1577	C₂×D₄	—	268	2	no	—
1578	C₂×D₄	—	268	2	no	—
1579	C₂×D₄	—	268	2	no	—
1580	C₂×D₄	—	268	2	no	—
1581	C₂×D₄	—	268	2	no	—
1582	C₂×D₄	—	268	2	no	—
1583	C₂×D₄	—	268	2	no	—
1584	C₂×D₄	—	268	2	no	—
1585	C₂×D₄	—	268	2	no	—
1586	C₂×D₄	—	268	2	no	—
1587	C₂×D₄	—	268	2	no	—
1588	C₂×D₄	—	268	2	no	—
1589	C₂×D₄	—	268	2	no	—
1590	C₂×D₄	—	268	2	no	—
1591	C₂×D₄	—	268	2	no	—
1592	C₂×D₄	—	268	2	no	—
1593	C₂×D₄	—	268	2	no	—
1594	C₂×D₄	—	268	2	no	—
1595	C₂×D₄	—	268	2	no	—
1596	C₂×D₄	—	268	2	no	—
1597	C₂×D₄	—	268	2	no	—
1598	C₂×D₄	—	268	2	no	—
1599	C₂×D₄	—	268	2	no	—
1600	C₂×D₄	—	268	2	no	—
1601	C₂×D₄	—	268	2	no	—
1602	C₂×D₄	—	67	4	no	—
1603	C₂×D₄	—	67	4	no	—
1604	C₂×D₄	—	67	4	no	—
1605	C₂×D₄	—	67	4	no	—
1606	C₂×D₄	—	67	4	no	—
1607	C₂×D₄	—	67	4	no	—
1608	C₂×D₄	—	67	4	no	—
1609	C₂×D₄	—	67	4	no	—
1610	C₂×D₄	—	67	4	no	—
1611	C₂×D₄	—	67	4	no	—
1612	C₂×D₄	—	67	4	no	—
1613	C₂×D₄	—	67	4	no	—
1614	C₂×D₄	—	67	4	no	—
1615	C₂×D₄	—	67	4	no	—
1616	C₂×D₄	—	67	4	no	—
1617	C₂×D₄	—	67	4	no	—
1618	C₂×D₄	—	67	4	no	—
1619	C₂×D₄	—	67	4	no	—
1620	C₂×D₄	—	67	4	no	—
1621	C₂×D₄	—	67	4	no	—
1622	C₂×D₄	—	67	4	no	—
1623	C₂×D₄	—	67	4	no	—
1624	C₂×D₄	—	67	4	no	—
1625	C₂×D₄	—	67	4	no	—
1626	C₂×D₄	—	67	4	no	—
1627	C₂×D₄	—	67	4	no	—
1628	C₂×D₄	—	67	4	no	—
1629	C₂×D₄	—	67	4	no	—
1630	C₂×D₄	—	67	4	no	—
1631	C₂×D₄	—	67	4	no	—
1632	C₂×D₄	—	134	4	no	—
1633	C₂×D₄	—	134	4	no	—
1634	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1635	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1636	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1637	C₂²×C₄	—	4	2	no	—
1638	C₂²×C₄	—	4	2	no	—
1639	C₂²×C₄	—	4	2	no	—
1640	C₂²×C₄	—	4	2	no	—
1641	C₂²×C₄	—	4	2	no	—
1642	C₂²×C₄	—	268	2	no	—
1643	C₂²×C₄	—	268	2	no	—
1644	C₂²×C₄	—	268	2	no	—
1645	C₂²×C₄	—	268	2	no	—
1646	C₂²×C₄	—	268	2	no	—
1647	C₂²×C₄	—	268	2	no	—
1648	C₂²×C₄	—	268	2	no	—
1649	C₂²×C₄	—	268	2	no	—
1650	C₂²×C₄	—	268	2	no	—
1651	C₂²×C₄	—	268	2	no	—
1652	C₂²×C₄	—	268	2	no	—
1653	C₂²×C₄	—	268	2	no	—
1654	C₂²×C₄	—	268	16	no	—
1655	C₂²×C₄	—	268	2	no	—
1656	C₂²×C₄	—	268	2	no	—
1657	C₂²×C₄	—	67	4	no	—
1658	C₂²×C₄	—	67	4	no	—
1659	C₂²×C₄	—	67	4	no	—
1660	C₂²×C₄	—	67	4	no	—
1661	C₂²×C₄	—	67	4	no	—
1662	C₂²×C₄	—	67	4	no	—
1663	C₂²×C₄	—	67	4	no	—
1664	C₂²×C₄	—	67	4	no	—
1665	C₂²×C₄	—	67	4	no	—
1666	C₂²×C₄	—	67	4	no	—
1667	C₂²×C₄	—	67	4	no	—
1668	C₂²×C₄	—	67	4	no	—
1669	C₂²×C₄	—	67	4	no	—
1670	C₂²×C₄	—	67	4	no	—
1671	C₂²×C₄	—	67	1	no	—
1672	C₂²×C₄	—	67	4	no	—
1673	C₂²×C₄	—	67	1	no	—
1674	C₂²×C₄	—	67	1	no	—
1675	C₂²×C₄	—	67	1	no	—
1676	C₂²×C₄	—	67	1	no	—
1677	C₂²×C₄	—	67	1	no	—
1678	C₂²×C₄	—	67	1	no	—
1679	C₂²×C₄	—	67	1	no	—
1680	C₂²×C₄	—	67	1	no	—
1681	C₂²×C₄	—	67	1	no	—
1682	C₂²×C₄	—	67	4	no	—
1683	C₂²×C₄	—	67	4	no	—
1684	C₂²×C₄	—	67	4	no	—
1685	C₂²×C₄	—	67	4	no	—
1686	C₂²×C₄	—	134	4	no	—
1687	C₂²×C₄	—	134	4	no	—
1688	C₂²×C₄	—	134	4	no	—
1689	C₂²×C₄	—	134	4	no	—
1690	C₂²×C₄	—	134	4	no	—
1691	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1692	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1693	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1694	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1695	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1696	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1697	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1698	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1699	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1700	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1701	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1702	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1703	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1704	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1705	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1706	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1707	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1708	C₄⋊C₄	—	67	4	no	—
1709	C₄⋊C₄	—	67	4	no	—
1710	C₄⋊C₄	—	67	4	no	—
1711	C₄⋊C₄	—	67	4	no	—
1712	C₄⋊C₄	—	67	4	no	—
1713	C₄⋊C₄	—	67	4	no	—
1714	C₄⋊C₄	—	67	4	no	—
1715	C₄⋊C₄	—	67	4	no	—
1716	C₄⋊C₄	—	67	4	no	—
1717	C₄⋊C₄	—	67	4	no	—
1718	C₄⋊C₄	—	67	4	no	—
1719	C₄⋊C₄	—	67	4	no	—
1720	C₄⋊C₄	—	67	4	no	—
1721	C₄⋊C₄	—	67	4	no	—
1722	C₄⋊C₄	—	67	4	no	—
1723	C₄⋊C₄	—	67	4	no	—
1724	C₄⋊C₄	—	67	4	no	—
1725	C₄⋊C₄	—	67	4	no	—
1726	C₄⋊C₄	—	67	4	no	—
1727	C₄⋊C₄	—	67	4	no	—
1728	C₄⋊C₄	—	67	4	no	—
1729	C₄⋊C₄	—	67	4	no	—
1730	C₄⋊C₄	—	67	4	no	—
1731	C₄⋊C₄	—	67	4	no	—
1732	C₄⋊C₄	—	67	4	no	—
1733	C₄⋊C₄	—	67	4	no	—
1734	C₄⋊C₄	—	67	4	no	—
1735	C₄⋊C₄	—	67	4	no	—
1736	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1737	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1738	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1739	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1740	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1741	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1742	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1743	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1744	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1745	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1746	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1747	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1748	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1749	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1750	C₂²⋊C₄	—	67	4	no	—
1751	C₂²⋊C₄	—	67	4	no	—
1752	C₂²⋊C₄	—	67	4	no	—
1753	C₂²⋊C₄	—	67	4	no	—
1754	C₂²⋊C₄	—	67	4	no	—
1755	C₂²⋊C₄	—	67	4	no	—
1756	C₂²⋊C₄	—	67	4	no	—
1757	C₂²⋊C₄	—	67	4	no	—
1758	C₂²⋊C₄	—	67	4	no	—
1759	C₂²⋊C₄	—	67	4	no	—
1760	C₂²⋊C₄	—	67	4	no	—
1761	C₂²⋊C₄	—	67	4	no	—
1762	C₂²⋊C₄	—	67	4	no	—
1763	C₂²⋊C₄	—	67	4	no	—
1764	C₂²⋊C₄	—	67	4	no	—
1765	C₂²⋊C₄	—	67	4	no	—
1766	C₂²⋊C₄	—	67	4	no	—
1767	C₂²⋊C₄	—	67	4	no	—
1768	C₂²⋊C₄	—	67	4	no	—
1769	C₂²⋊C₄	—	67	4	no	—
1770	C₂²⋊C₄	—	67	4	no	—
1771	C₂²⋊C₄	—	67	4	no	—
1772	C₂²⋊C₄	—	67	4	no	—
1773	C₂²⋊C₄	—	67	4	no	—
1774	C₂²⋊C₄	—	67	4	no	—
1775	C₂²⋊C₄	—	67	4	no	—
1776	C₂²⋊C₄	—	67	4	no	—
1777	C₂²⋊C₄	—	67	4	no	—
1778	C₂²⋊C₄	—	67	4	no	—
1779	C₂²⋊C₄	—	67	4	no	—
1780	C₂²⋊C₄	—	67	4	no	—
1781	C₂²⋊C₄	—	67	4	no	—
1782	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1783	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1784	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1785	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1786	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1787	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1788	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1789	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1790	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1791	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1792	C₄²	—	67	4	no	—
1793	C₄²	—	67	4	no	—
1794	C₄²	—	67	4	no	—
1795	C₄²	—	67	4	no	—
1796	C₄²	—	67	4	no	—
1797	C₄²	—	67	4	no	—
1798	C₄²	—	67	4	no	—
1799	C₄²	—	67	4	no	—
1800	C₄²	C₂³×D₆₇	1	4	yes	—
1801	C₄²	C₂³×D₆₇	1	4	yes	—
1802	C₂³	—	2	2	no	—
1803	C₂³	—	2	2	no	—
1804	C₂³	—	2	2	no	—
1805	C₂³	—	2	2	no	—
1806	C₂³	—	2	2	no	—
1807	C₂³	—	2	2	no	—
1808	C₂³	—	2	2	no	—
1809	C₂³	—	2	2	no	—
1810	C₂³	—	2	2	no	—
1811	C₂³	—	268	4	no	—
1812	C₂³	—	268	4	no	—
1813	C₂³	—	268	4	no	—
1814	C₂³	—	268	16	no	—
1815	C₂³	—	67	2	no	—
1816	C₂³	—	67	2	no	—
1817	C₂³	—	67	2	no	—
1818	C₂³	—	67	2	no	—
1819	C₂³	—	67	2	no	—
1820	C₂³	—	67	2	no	—
1821	C₂³	—	134	2	no	—
1822	C₂³	—	134	2	no	—
1823	C₂³	—	134	2	no	—
1824	C₂³	—	134	2	no	—
1825	C₂³	—	134	2	no	—
1826	C₂³	—	134	2	no	—
1827	C₂³	—	134	2	no	—
1828	C₂³	—	134	2	no	—
1829	C₂³	—	134	2	no	—
1830	C₂³	—	134	2	no	—
1831	C₂³	—	134	2	no	—
1832	C₂³	—	134	2	no	—
1833	C₂³	—	134	2	no	—
1834	C₂³	—	134	2	no	—
1835	C₂³	—	134	2	no	—
1836	C₂³	—	134	2	no	—
1837	C₂³	—	134	2	no	—
1838	C₂³	—	134	2	no	—
1839	C₂³	C₂⁴×D₆₇	1	2	yes	—
1840	C₂³	C₂⁴×D₆₇	1	2	yes	—
1841	C₂³	C₂⁴×D₆₇	1	2	yes	—
1842	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
1843	Q₈	—	4	4	no	—
1844	Q₈	—	134	8	no	—
1845	Q₈	—	134	8	no	—
1846	D₄	—	4	4	no	—
1847	D₄	—	4	4	no	—
1848	D₄	—	4	4	no	—
1849	D₄	—	268	4	no	—
1850	D₄	—	268	4	no	—
1851	D₄	—	268	4	no	—
1852	D₄	—	268	4	no	—
1853	D₄	—	268	4	no	—
1854	D₄	—	268	4	no	—
1855	D₄	—	268	4	no	—
1856	D₄	—	268	4	no	—
1857	D₄	—	268	4	no	—
1858	D₄	—	268	4	no	—
1859	D₄	—	268	4	no	—
1860	D₄	—	268	4	no	—
1861	D₄	—	268	4	no	—
1862	D₄	—	268	4	no	—
1863	D₄	—	268	4	no	—
1864	D₄	—	268	4	no	—
1865	D₄	—	268	4	no	—
1866	D₄	—	268	4	no	—
1867	D₄	—	268	4	no	—
1868	D₄	—	268	4	no	—
1869	D₄	—	268	4	no	—
1870	D₄	—	268	4	no	—
1871	D₄	—	268	4	no	—
1872	D₄	—	268	4	no	—
1873	D₄	—	268	4	no	—
1874	D₄	—	268	4	no	—
1875	D₄	—	268	4	no	—
1876	D₄	—	268	4	no	—
1877	D₄	—	134	8	no	—
1878	D₄	—	134	8	no	—
1879	C₂×C₄	—	2	2	no	—
1880	C₂×C₄	—	2	2	no	—
1881	C₂×C₄	—	2	2	no	—
1882	C₂×C₄	—	2	2	no	—
1883	C₂×C₄	—	2	2	no	—
1884	C₂×C₄	—	2	2	no	—
1885	C₂×C₄	—	2	2	no	—
1886	C₂×C₄	—	2	2	no	—
1887	C₂×C₄	—	2	2	no	—
1888	C₂×C₄	—	2	2	no	—
1889	C₂×C₄	—	2	2	no	—
1890	C₂×C₄	—	2	2	no	—
1891	C₂×C₄	—	4	4	no	—
1892	C₂×C₄	—	4	4	no	—
1893	C₂×C₄	—	4	4	no	—
1894	C₂×C₄	—	4	4	no	—
1895	C₂×C₄	—	4	4	no	—
1896	C₂×C₄	—	268	4	no	—
1897	C₂×C₄	—	268	4	no	—
1898	C₂×C₄	—	268	4	no	—
1899	C₂×C₄	—	268	4	no	—
1900	C₂×C₄	—	268	4	no	—
1901	C₂×C₄	—	268	4	no	—
1902	C₂×C₄	—	268	4	no	—
1903	C₂×C₄	—	268	4	no	—
1904	C₂×C₄	—	268	4	no	—
1905	C₂×C₄	—	268	4	no	—
1906	C₂×C₄	—	268	4	no	—
1907	C₂×C₄	—	268	4	no	—
1908	C₂×C₄	—	268	4	no	—
1909	C₂×C₄	—	268	4	no	—
1910	C₂×C₄	—	67	4	no	—
1911	C₂×C₄	—	67	2	no	—
1912	C₂×C₄	—	67	2	no	—
1913	C₂×C₄	—	67	2	no	—
1914	C₂×C₄	—	67	2	no	—
1915	C₂×C₄	—	67	2	no	—
1916	C₂×C₄	—	67	2	no	—
1917	C₂×C₄	—	67	2	no	—
1918	C₂×C₄	—	67	2	no	—
1919	C₂×C₄	—	67	2	no	—
1920	C₂×C₄	—	67	2	no	—
1921	C₂×C₄	—	134	8	no	—
1922	C₂×C₄	—	134	8	no	—
1923	C₂×C₄	—	134	8	no	—
1924	C₂×C₄	—	134	8	no	—
1925	C₂×C₄	—	134	8	no	—
1926	C₂×C₄	—	134	2	no	—
1927	C₂×C₄	—	134	2	no	—
1928	C₂×C₄	—	134	2	no	—
1929	C₂×C₄	—	134	2	no	—
1930	C₂×C₄	—	134	2	no	—
1931	C₂×C₄	—	134	2	no	—
1932	C₂×C₄	—	134	2	no	—
1933	C₂×C₄	—	134	2	no	—
1934	C₂×C₄	—	134	2	no	—
1935	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1936	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1937	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1938	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1939	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1940	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1941	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1942	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1943	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1944	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1945	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1946	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1947	C₂²	—	2	2	no	—
1948	C₂²	—	2	2	no	—
1949	C₂²	—	2	2	no	—
1950	C₂²	—	2	2	no	—
1951	C₂²	—	2	2	no	—
1952	C₂²	—	2	2	no	—
1953	C₂²	—	2	2	no	—
1954	C₂²	—	2	2	no	—
1955	C₂²	—	2	2	no	—
1956	C₂²	—	4	4	no	—
1957	C₂²	—	4	4	no	—
1958	C₂²	—	4	4	no	—
1959	C₂²	—	268	16	no	—
1960	C₂²	—	268	4	no	—
1961	C₂²	—	268	4	no	—
1962	C₂²	—	268	4	no	—
1963	C₂²	—	268	4	no	—
1964	C₂²	—	268	4	no	—
1965	C₂²	—	268	4	no	—
1966	C₂²	—	134	2	no	—
1967	C₂²	—	134	2	no	—
1968	C₂²	—	134	2	no	—
1969	C₂²	—	134	2	no	—
1970	C₂²	—	134	2	no	—
1971	C₂²	—	134	2	no	—
1972	C₂²	—	134	2	no	—
1973	C₂²	—	134	2	no	—
1974	C₂²	—	134	2	no	—
1975	C₂²	—	134	2	no	—
1976	C₂²	—	134	2	no	—
1977	C₂²	—	134	2	no	—
1978	C₂²	—	134	2	no	—
1979	C₂²	—	134	2	no	—
1980	C₂²	—	134	2	no	—
1981	C₂²	—	134	2	no	—
1982	C₂²	—	134	2	no	—
1983	C₂²	—	134	2	no	—
1984	C₂²	H(5,𝔽₂)×D₆₇	1	2	yes	—
1985	C₂²	#16864232	1	2	yes	—
1986	C₂²	#16864233	1	2	yes	—
1987	C₂²	C₂⁵×D₆₇	1	1	yes	characteristic
1988	C₄	—	2	2	no	—
1989	C₄	—	2	2	no	—
1990	C₄	—	2	2	no	—
1991	C₄	—	2	2	no	—
1992	C₄	—	2	2	no	—
1993	C₄	—	2	2	no	—
1994	C₄	—	2	2	no	—
1995	C₄	—	2	2	no	—
1996	C₄	—	2	2	no	—
1997	C₄	—	2	2	no	—
1998	C₄	—	2	2	no	—
1999	C₄	—	2	2	no	—
2000	C₄	—	67	4	no	—
2001	C₄	—	134	2	no	—
2002	C₄	—	134	2	no	—
2003	C₄	—	134	2	no	—
2004	C₄	—	134	2	no	—
2005	C₄	—	134	2	no	—
2006	C₄	—	134	2	no	—
2007	C₄	—	134	2	no	—
2008	C₄	—	134	2	no	—
2009	C₄	—	134	2	no	—
2010	C₂	—	4	2	no	—
2011	C₂	—	4	2	no	—
2012	C₂	—	4	2	no	—
2013	C₂	—	268	2	no	—
2014	C₂	—	268	2	no	—
2015	C₂	—	268	2	no	—
2016	C₂	—	268	2	no	—
2017	C₂	—	268	2	no	—
2018	C₂	—	268	2	no	—
2019	C₂	#22574467	1	4	yes	direct product factor
2020	C₂	C₂×H(5,𝔽₂)×D₆₇	1	1	yes	characteristic
2021	C₂	C₂×#16864232	1	1	yes	characteristic
2022	C₂	C₂×#16864233	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×#3539
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. #22574467	C₂	direct (N × H)
2. C₂×#16864137	C₂	semidirect
3. C₂×#16864136	C₂	semidirect
4. C₂×#16864136	C₂	semidirect
5. C₂×#16864134	C₂	semidirect
6. C₂×#16864099	C₂	semidirect
7. C₂×#16864097	C₂	semidirect
8. C₂×#16864097	C₂	semidirect
9. C₂×#16864095	C₂	semidirect
10. C₂×#16864094	C₂	semidirect
11. C₂×#16864091	C₂	semidirect
12. C₂×#16864082	C₂	semidirect
13. C₂×#16864078	C₂	semidirect
14. C₂×#16864067	C₂	semidirect
15. C₂×#16864064	C₂	semidirect
16. C₂×#16864047	C₂	semidirect
17. C₂×#16864044	C₂	semidirect
18. C₂×#16864005	C₂	semidirect
19. C₂×#16864002	C₂	semidirect
20. C₂×#16863998	C₂	semidirect
21. C₂×#16863998	C₂	semidirect
22. C₂×#16863998	C₂	semidirect
23. C₂×#16863997	C₂	semidirect
24. C₂×#16863995	C₂	semidirect
25. C₂×#16863992	C₂	semidirect
26. C₂×#16863992	C₂	semidirect
27. C₂×#16863976	C₂	semidirect
28. C₂×#16863976	C₂	semidirect
29. C₂×#16863909	C₂	semidirect
30. C₂×#16863905	C₂	semidirect
31. C₂×#16863904	C₂	semidirect
32. C₂×#539×C₆₇	C₂	semidirect
35. C₂²×#11761628	C₂²	semidirect
36. C₂²×#11761628	C₂²	semidirect
39. #16864137	C₂²	semidirect
40. #16864136	C₂²	semidirect
41. #16864136	C₂²	semidirect
42. #16864134	C₂²	semidirect
43. #16864099	C₂²	semidirect
44. #16864097	C₂²	semidirect
45. #16864097	C₂²	semidirect
46. #16864095	C₂²	semidirect
47. #16864094	C₂²	semidirect
48. #16864091	C₂²	semidirect
49. #16864082	C₂²	semidirect
50. #16864078	C₂²	semidirect
51. #16864067	C₂²	semidirect
52. #16864064	C₂²	semidirect
53. #16864047	C₂²	semidirect
54. #16864044	C₂²	semidirect
55. #16864005	C₂²	semidirect
56. #16864002	C₂²	semidirect
57. #16863998	C₂²	semidirect
58. #16863998	C₂²	semidirect
59. #16863998	C₂²	semidirect
60. #16863997	C₂²	semidirect
61. #16863995	C₂²	semidirect
62. #16863992	C₂²	semidirect
63. #16863992	C₂²	semidirect
64. #16863976	C₂²	semidirect
65. #16863976	C₂²	semidirect
66. C₂×#14524042	C₂²	semidirect
71. C₂×#14524039	C₂²	semidirect
77. C₂×#14524038	C₂²	semidirect
78. C₂×#14524038	C₂²	semidirect
81. C₂×#14524036	C₂²	semidirect
82. C₂×#14524034	C₂²	semidirect
83. C₂×#14524034	C₂²	semidirect
84. C₂×#14524033	C₂²	semidirect
85. C₂×#14524033	C₂²	semidirect
86. C₂×#14524033	C₂²	semidirect
87. C₂×#14524033	C₂²	semidirect
88. C₂×#14524033	C₂²	semidirect
89. C₂×#14524033	C₂²	semidirect
90. #16863909	C₂²	semidirect
91. #16863905	C₂²	semidirect
92. #16863904	C₂²	semidirect
100. C₂×#14524028	C₂²	semidirect
101. C₂×#14524028	C₂²	semidirect
102. C₂×#14524028	C₂²	semidirect
104. C₂×#14524027	C₂²	semidirect
105. C₂×#14524027	C₂²	semidirect
108. C₂×#14524026	C₂²	semidirect
114. C₂×#14524025	C₂²	semidirect
118. C₂×#14524021	C₂²	semidirect
119. C₂×#14524021	C₂²	semidirect
122. C₂×#14524019	C₂²	semidirect
123. C₂×#14524019	C₂²	semidirect
132. C₂×#14524018	C₂²	semidirect
133. C₂×#14524018	C₂²	semidirect
134. C₂×#14524018	C₂²	semidirect
141. C₂×#14524017	C₂²	semidirect
153. C₂×#14524016	C₂²	semidirect
154. C₂×#14524016	C₂²	semidirect
155. C₂×#14524016	C₂²	semidirect
156. C₂×#14524016	C₂²	semidirect
157. C₂×#14524016	C₂²	semidirect
161. C₂×#14524015	C₂²	semidirect
169. C₂×C₄×Dic₁₃₄	C₂²	semidirect
170. C₂×#14524008	C₂²	semidirect
172. C₂×C₄×D₂₆₈	C₂²	semidirect
177. C₂×#14524005	C₂²	semidirect
178. C₂×#14524005	C₂²	semidirect
181. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
182. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
183. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
188. C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	semidirect
189. C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	semidirect
190. C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	semidirect
192. C₂×#14524001	C₂²	semidirect
193. C₂×#14524001	C₂²	semidirect
195. C₂×#14524000	C₂²	semidirect
196. C₂×#14524000	C₂²	semidirect
198. C₂²×Dic₆₇⋊C₄	C₂²	semidirect
199. C₂×C₄⋊C₄×D₆₇	C₂²	semidirect
200. C₂×C₄⋊C₄×D₆₇	C₂²	semidirect
201. C₂×C₄⋊C₄×D₆₇	C₂²	semidirect
202. 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
226. C₂×#11761628	C₂³	semidirect
227. C₂×#11761628	C₂³	semidirect
283. #14524042	C₂³	semidirect
288. #14524039	C₂³	semidirect
294. #14524038	C₂³	semidirect
295. #14524038	C₂³	semidirect
298. #14524036	C₂³	semidirect
299. #14524034	C₂³	semidirect
300. #14524034	C₂³	semidirect
301. #14524033	C₂³	semidirect
302. #14524033	C₂³	semidirect
303. #14524033	C₂³	semidirect
304. #14524033	C₂³	semidirect
305. #14524033	C₂³	semidirect
306. #14524033	C₂³	semidirect
314. #14524028	C₂³	semidirect
315. #14524028	C₂³	semidirect
316. #14524028	C₂³	semidirect
318. #14524027	C₂³	semidirect
319. #14524027	C₂³	semidirect
322. #14524026	C₂³	semidirect
328. #14524025	C₂³	semidirect
332. #14524021	C₂³	semidirect
333. #14524021	C₂³	semidirect
336. #14524019	C₂³	semidirect
337. #14524019	C₂³	semidirect
346. #14524018	C₂³	semidirect
347. #14524018	C₂³	semidirect
348. #14524018	C₂³	semidirect
355. #14524017	C₂³	semidirect
367. #14524016	C₂³	semidirect
368. #14524016	C₂³	semidirect
369. #14524016	C₂³	semidirect
370. #14524016	C₂³	semidirect
371. #14524016	C₂³	semidirect
375. #14524015	C₂³	semidirect
383. C₄×Dic₁₃₄	C₂³	semidirect
384. #14524008	C₂³	semidirect
386. C₄×D₂₆₈	C₂³	semidirect
391. #14524005	C₂³	semidirect
392. #14524005	C₂³	semidirect
395. C₄×C₂²⋊D₆₇	C₂³	semidirect
396. C₄×C₂²⋊D₆₇	C₂³	semidirect
397. C₄×C₂²⋊D₆₇	C₂³	semidirect
402. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
403. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
404. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
406. #14524001	C₂³	semidirect
407. #14524001	C₂³	semidirect
409. #14524000	C₂³	semidirect
410. #14524000	C₂³	semidirect
440. C₂×Dic₆₇⋊C₄	C₂³	semidirect
441. C₄⋊C₄×D₆₇	C₂³	semidirect
442. C₄⋊C₄×D₆₇	C₂³	semidirect
443. C₄⋊C₄×D₆₇	C₂³	semidirect
444. 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
1002. C₂×C₆₇	#3539	semidirect
1038. C₂×#539	D₆₇	semidirect
1044. C₆₇	C₂×#3539	semidirect
1076. #539	C₂×D₆₇	semidirect
1096. C₂×#126	C₂×D₆₇	semidirect
1105. C₂×#125	C₂×D₆₇	semidirect
1106. C₂×#125	C₂×D₆₇	semidirect
1135. C₂×#123	C₂×D₆₇	semidirect
1146. C₂×C₂²⋊Q₈	C₂×D₆₇	semidirect
1147. C₂×C₂²⋊Q₈	C₂×D₆₇	semidirect
1217. C₂×C₄×D₄	C₂×D₆₇	semidirect
1230. C₂²×C₄⋊C₄	C₂×D₆₇	semidirect
1321. #126	C₂²×D₆₇	semidirect
1330. #125	C₂²×D₆₇	semidirect
1331. #125	C₂²×D₆₇	semidirect
1357. #123	C₂²×D₆₇	semidirect
1368. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1369. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1439. C₄×D₄	C₂²×D₆₇	semidirect
1494. C₂×C₄⋊C₄	C₂²×D₆₇	semidirect
2019. C₂	#22574467	direct (N × H)

Maximal subgroups

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

subgroup	index
#22574467	2
C₂×#16864137	2
C₂×#16864136	2
C₂×#16864134	2
C₂×#16864099	2
C₂×#16864097	2
C₂×#16864095	2
C₂×#16864094	2
C₂×#16864091	2
C₂×#16864082	2
C₂×#16864078	2
C₂×#16864067	2
C₂×#16864064	2
C₂×#16864047	2
C₂×#16864044	2
C₂×#16864005	2
C₂×#16864002	2
C₂×#16863998	2
C₂×#16863997	2
C₂×#16863995	2
C₂×#16863992	2
C₂×#16863976	2
C₂×#16863909	2
C₂×#16863905	2
C₂×#16863904	2
C₂×#539×C₆₇	2
C₂×#3539	67

Subgroups — C2×#22574467 #31763113

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#22574467 #31763113