Subgroups — C₂×#22574040 #31763754

Order 17152.

8082 conjugacy classes of subgroups.

The subgroup lattice has 2064 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22574040	C₂	1	32	yes	maximal, direct product factor
2	C₂×#16864097	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#16864097	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#16864096	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#16864091	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#16864091	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#16864090	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#16864083	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#16864079	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#16864075	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#16864073	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#16864072	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#16864056	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#16864054	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#16864036	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#16864033	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#16863992	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#16863987	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#16863982	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#16863980	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#16863957	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#16863956	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#16863929	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#16863924	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#16863905	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#16863904	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×C₂²⋊Q₈×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂²×#14524016	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#16863870	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#16863869	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₄×D₄×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#551×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
33	C₂²×#11761628	C₂²	1	1	yes	characteristic, complemented
34	C₂²×#11761627	C₂²	1	1	yes	characteristic, complemented
35	C₂²×Q₈×D₆₇	C₂²	1	1	yes	characteristic, complemented
36	C₂³×D₂₆₈	C₂²	1	1	yes	characteristic
37	C₂³×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic
38	C₂³×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic, complemented
39	C₂²×D₄×D₆₇	C₂²	1	1	yes	characteristic
40	C₂³×C₄×D₆₇	C₂²	1	1	yes	characteristic
41	C₂³×C₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
42	#16864097	C₂²	1	16	yes	complemented
43	#16864097	C₂²	1	16	yes	complemented
44	#16864096	C₂²	1	16	yes	complemented
45	#16864091	C₂²	1	16	yes	complemented
46	#16864091	C₂²	1	16	yes	complemented
47	#16864090	C₂²	1	16	yes	complemented
48	#16864083	C₂²	1	16	yes	complemented
49	#16864079	C₂²	1	16	yes	complemented
50	#16864075	C₂²	1	16	yes	complemented
51	#16864073	C₂²	1	16	yes	complemented
52	#16864072	C₂²	1	16	yes	complemented
53	#16864056	C₂²	1	16	yes	complemented
54	#16864054	C₂²	1	16	yes	complemented
55	#16864036	C₂²	1	16	yes	complemented
56	#16864033	C₂²	1	16	yes	complemented
57	#16863992	C₂²	1	16	yes	complemented
58	#16863987	C₂²	1	16	yes	complemented
59	#16863982	C₂²	1	16	yes	complemented
60	#16863980	C₂²	1	16	yes	complemented
61	#16863957	C₂²	1	16	yes	complemented
62	#16863956	C₂²	1	16	yes	complemented
63	#16863929	C₂²	1	16	yes	complemented
64	#16863924	C₂²	1	16	yes	complemented
65	C₂×#14524038	C₂²	1	1	yes	characteristic, complemented
66	C₂×#14524038	C₂²	1	1	yes	characteristic, complemented
67	C₂×#14524038	C₂²	1	1	yes	characteristic, complemented
68	C₂×#14524038	C₂²	1	1	yes	characteristic, complemented
69	C₂×#14524037	C₂²	1	1	yes	characteristic, complemented
70	C₂×#14524037	C₂²	1	1	yes	characteristic, complemented
71	C₂×#14524036	C₂²	1	1	yes	characteristic, complemented
72	C₂×#14524036	C₂²	1	1	yes	characteristic, complemented
73	C₂×#14524036	C₂²	1	1	yes	characteristic, complemented
74	C₂×#14524036	C₂²	1	1	yes	characteristic, complemented
75	C₂×#14524035	C₂²	1	1	yes	characteristic, complemented
76	C₂×#14524034	C₂²	1	1	yes	characteristic, complemented
77	C₂×#14524033	C₂²	1	1	yes	characteristic, complemented
78	C₂×#14524033	C₂²	1	1	yes	characteristic, complemented
79	C₂×#14524033	C₂²	1	1	yes	characteristic, complemented
80	C₂×#14524033	C₂²	1	1	yes	characteristic, complemented
81	C₂×#14524032	C₂²	1	1	yes	characteristic, complemented
82	C₂×#14524029	C₂²	1	1	yes	characteristic, complemented
83	C₂×#14524029	C₂²	1	1	yes	characteristic, complemented
84	C₂×#14524029	C₂²	1	1	yes	characteristic, complemented
85	C₂×#14524029	C₂²	1	1	yes	characteristic, complemented
86	#16863905	C₂²	1	16	yes	complemented
87	#16863904	C₂²	1	16	yes	complemented
88	C₂×#14524028	C₂²	1	1	yes	characteristic, complemented
89	C₂×#14524028	C₂²	1	1	yes	characteristic, complemented
90	C₂×#14524028	C₂²	1	1	yes	characteristic, complemented
91	C₂×#14524028	C₂²	1	1	yes	characteristic, complemented
92	C₂×#14524027	C₂²	1	1	yes	characteristic
93	C₂×#14524027	C₂²	1	1	yes	characteristic, complemented
94	C₂×#14524027	C₂²	1	1	yes	characteristic, complemented
95	C₂×#14524026	C₂²	1	1	yes	characteristic
96	C₂×#14524026	C₂²	1	1	yes	characteristic, complemented
97	C₂×#14524026	C₂²	1	1	yes	characteristic, complemented
98	C₂×#14524025	C₂²	1	1	yes	characteristic, complemented
99	C₂×#14524025	C₂²	1	1	yes	characteristic, complemented
100	C₂×#14524025	C₂²	1	1	yes	characteristic, complemented
101	C₂×#14524025	C₂²	1	1	yes	characteristic, complemented
102	C₂×#14524025	C₂²	1	1	yes	characteristic, complemented
103	C₂×#14524025	C₂²	1	1	yes	characteristic, complemented
104	C₂×#14524024	C₂²	1	1	yes	characteristic
105	C₂×#14524023	C₂²	1	1	yes	characteristic, complemented
106	C₂×#14524022	C₂²	1	1	yes	characteristic, complemented
107	C₂×#14524021	C₂²	1	1	yes	characteristic, complemented
108	C₂×#14524021	C₂²	1	1	yes	characteristic, complemented
109	C₂×#14524021	C₂²	1	1	yes	characteristic, complemented
110	C₂×#14524021	C₂²	1	1	yes	characteristic, complemented
111	C₂×#14524020	C₂²	1	1	yes	characteristic, complemented
112	C₂×#14524020	C₂²	1	1	yes	characteristic, complemented
113	C₂×#14524020	C₂²	1	1	yes	characteristic, complemented
114	C₂×#14524020	C₂²	1	1	yes	characteristic, complemented
115	C₂×#14524019	C₂²	1	1	yes	characteristic, complemented
116	C₂×#14524019	C₂²	1	1	yes	characteristic, complemented
117	C₂²⋊Q₈×D₆₇	C₂²	1	16	yes	complemented
118	C₂×#14524018	C₂²	1	1	yes	characteristic, complemented
119	C₂×#14524018	C₂²	1	1	yes	characteristic, complemented
120	C₂×#14524017	C₂²	1	1	yes	characteristic, complemented
121	C₂×#14524016	C₂²	1	1	yes	characteristic
122	C₂×#14524016	C₂²	1	1	yes	characteristic
123	C₂×#14524016	C₂²	1	1	yes	characteristic
124	C₂×#14524016	C₂²	1	1	yes	characteristic
125	C₂×#14524016	C₂²	1	1	yes	characteristic, complemented
126	C₂×#14524016	C₂²	1	1	yes	characteristic, complemented
127	C₂×#14524016	C₂²	1	1	yes	characteristic, complemented
128	C₂×#14524016	C₂²	1	1	yes	characteristic, complemented
129	C₂×#14524016	C₂²	1	1	yes	characteristic, complemented
130	C₂×#14524016	C₂²	1	1	yes	characteristic, complemented
131	C₂×#14524016	C₂²	1	1	yes	characteristic, complemented
132	C₂×#14524016	C₂²	1	1	yes	characteristic, complemented
133	C₂×#14524016	C₂²	1	1	yes	characteristic, complemented
134	C₂×#14524016	C₂²	1	1	yes	characteristic, complemented
135	C₂×#14524016	C₂²	1	16	yes	complemented
136	C₂×#14524015	C₂²	1	1	yes	characteristic, complemented
137	C₂×#14524015	C₂²	1	1	yes	characteristic, complemented
138	C₂×#14524014	C₂²	1	1	yes	characteristic, complemented
139	C₂×#14524014	C₂²	1	1	yes	characteristic, complemented
140	C₂×#14524014	C₂²	1	1	yes	characteristic, complemented
141	C₂×#14524013	C₂²	1	1	yes	characteristic
142	C₂×#14524013	C₂²	1	1	yes	characteristic, complemented
143	C₂×#14524013	C₂²	1	1	yes	characteristic, complemented
144	C₂×#14524012	C₂²	1	1	yes	characteristic
145	C₂×#14524011	C₂²	1	1	yes	characteristic
146	C₂×#14524011	C₂²	1	1	yes	characteristic, complemented
147	C₂×#14524011	C₂²	1	1	yes	characteristic, complemented
148	#16863870	C₂²	1	16	yes	complemented
149	#16863869	C₂²	1	16	yes	complemented
150	C₂×C₄×Dic₁₃₄	C₂²	1	1	yes	characteristic, complemented
151	C₂×#14524008	C₂²	1	1	yes	characteristic, complemented
152	C₂×C₄×D₂₆₈	C₂²	1	1	yes	characteristic, complemented
153	C₂×C₄×D₂₆₈	C₂²	1	1	yes	characteristic, complemented
154	C₂×C₄×D₂₆₈	C₂²	1	1	yes	characteristic, complemented
155	C₂×C₄×D₂₆₈	C₂²	1	1	yes	characteristic, complemented
156	C₂×C₄×D₂₆₈	C₂²	1	1	yes	characteristic, complemented
157	C₂×D₄×Dic₆₇	C₂²	1	1	yes	characteristic
158	C₂×#14524005	C₂²	1	1	yes	characteristic, complemented
159	C₂×#14524005	C₂²	1	1	yes	characteristic, complemented
160	C₂×#14524005	C₂²	1	1	yes	characteristic, complemented
161	C₂×#14524005	C₂²	1	1	yes	characteristic, complemented
162	C₂×#14524005	C₂²	1	1	yes	characteristic, complemented
163	C₂×#14524005	C₂²	1	1	yes	characteristic, complemented
164	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic
165	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic, complemented
166	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic, complemented
167	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic, complemented
168	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic, complemented
169	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic, complemented
170	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic, complemented
171	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic, complemented
172	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic
173	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
174	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
175	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
176	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
177	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
178	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
179	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
180	C₄×D₄×D₆₇	C₂²	1	16	yes	complemented
181	C₂×#14524002	C₂²	1	1	yes	characteristic, complemented
182	C₂×#14524001	C₂²	1	1	yes	characteristic, complemented
183	C₂×#14524000	C₂²	1	1	yes	characteristic, complemented
184	C₂×#14524000	C₂²	1	1	yes	characteristic, complemented
185	C₂×#14523999	C₂²	1	1	yes	characteristic, complemented
186	C₂×#14523999	C₂²	1	1	yes	characteristic, complemented
187	C₂×#14523999	C₂²	1	1	yes	characteristic, complemented
188	C₂×#14523999	C₂²	1	1	yes	characteristic, complemented
189	C₂²×Dic₆₇⋊C₄	C₂²	1	1	yes	characteristic, complemented
190	C₂×C₄⋊C₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
191	C₂×C₄⋊C₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
192	C₂×C₄⋊C₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
193	C₂×C₄⋊C₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
194	C₂²×C₂²⋊Dic₆₇	C₂²	1	1	yes	characteristic, complemented
195	C₂²×(C₂×D₆₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
196	C₂×C₂²⋊C₄×D₆₇	C₂²	1	1	yes	characteristic
197	C₂×C₂²⋊C₄×D₆₇	C₂²	1	1	yes	characteristic
198	C₂×C₂²⋊C₄×D₆₇	C₂²	1	1	yes	characteristic
199	C₂×C₂²⋊C₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
200	C₂×C₂²⋊C₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
201	C₂×C₂²⋊C₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₄²×D₆₇	C₂²	1	1	yes	characteristic, complemented
203	#551×C₆₇	C₂²	1	16	yes	complemented
204	C₂×#126×C₆₇	C₂²	1	1	yes	characteristic, complemented
205	C₂×#126×C₆₇	C₂²	1	1	yes	characteristic, complemented
206	C₂×#124×C₆₇	C₂²	1	1	yes	characteristic, complemented
207	C₂×#123×C₆₇	C₂²	1	1	yes	characteristic
208	C₂×#123×C₆₇	C₂²	1	1	yes	characteristic, complemented
209	C₂×#123×C₆₇	C₂²	1	1	yes	characteristic, complemented
210	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
211	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
212	C₂×#120×C₆₇	C₂²	1	1	yes	characteristic
213	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic
214	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
215	C₂×#117×C₆₇	C₂²	1	1	yes	characteristic, complemented
216	C₂×#117×C₆₇	C₂²	1	1	yes	characteristic, complemented
217	C₂²×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
218	C₂²×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
219	C₂⁴×D₆₇	C₂³	1	1	yes	characteristic
220	C₂⁴×D₆₇	C₂³	1	1	yes	characteristic
221	C₂⁴×D₆₇	C₂³	1	1	yes	characteristic
222	C₂×#11761628	—	4	4	no	—
223	C₂×#11761628	C₂³	1	8	yes	complemented
224	C₂×#11761627	—	4	4	no	—
225	C₂×#11761627	C₂³	1	8	yes	complemented
226	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic
227	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic
228	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic
229	C₂×Q₈×D₆₇	—	4	4	no	—
230	C₂×Q₈×D₆₇	C₂³	1	8	yes	complemented
231	C₂²×D₂₆₈	—	2	8	no	—
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	8	yes	—
238	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
239	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
240	C₂²×C₂²⋊D₆₇	—	2	8	no	—
241	C₂²×C₂²⋊D₆₇	—	4	4	no	—
242	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
243	C₂²×C₂²⋊D₆₇	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	8	yes	—
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	8	yes	complemented
258	C₂×D₄×D₆₇	—	2	8	no	—
259	C₂×D₄×D₆₇	C₂³	1	8	yes	—
260	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
261	C₂³×Dic₆₇	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	—	4	4	no	—
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	1	yes	characteristic
283	C₂²×C₄×D₆₇	C₂³	1	8	yes	—
284	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
285	C₂²×C₄×D₆₇	C₂³	1	8	yes	complemented
286	#14524038	C₂³	1	8	yes	complemented
287	#14524038	C₂³	1	8	yes	complemented
288	#14524038	C₂³	1	8	yes	complemented
289	#14524038	C₂³	1	8	yes	complemented
290	#14524037	C₂³	1	8	yes	complemented
291	#14524037	C₂³	1	8	yes	complemented
292	#14524036	C₂³	1	8	yes	complemented
293	#14524036	C₂³	1	8	yes	complemented
294	#14524036	C₂³	1	8	yes	complemented
295	#14524036	C₂³	1	8	yes	complemented
296	#14524035	C₂³	1	8	yes	complemented
297	#14524034	C₂³	1	8	yes	complemented
298	#14524033	C₂³	1	8	yes	complemented
299	#14524033	C₂³	1	8	yes	complemented
300	#14524033	C₂³	1	8	yes	complemented
301	#14524033	C₂³	1	8	yes	complemented
302	#14524032	C₂³	1	8	yes	complemented
303	#14524029	C₂³	1	8	yes	complemented
304	#14524029	C₂³	1	8	yes	complemented
305	#14524029	C₂³	1	8	yes	complemented
306	#14524029	C₂³	1	8	yes	complemented
307	#14524028	C₂³	1	8	yes	complemented
308	#14524028	C₂³	1	8	yes	complemented
309	#14524028	C₂³	1	8	yes	complemented
310	#14524028	C₂³	1	8	yes	complemented
311	#14524027	C₂³	1	8	yes	—
312	#14524027	C₂³	1	8	yes	complemented
313	#14524027	C₂³	1	8	yes	complemented
314	#14524026	C₂³	1	8	yes	—
315	#14524026	C₂³	1	8	yes	complemented
316	#14524026	C₂³	1	8	yes	complemented
317	#14524025	C₂³	1	8	yes	complemented
318	#14524025	C₂³	1	8	yes	complemented
319	#14524025	C₂³	1	8	yes	complemented
320	#14524025	C₂³	1	8	yes	complemented
321	#14524025	C₂³	1	8	yes	complemented
322	#14524025	C₂³	1	8	yes	complemented
323	#14524024	C₂³	1	8	yes	—
324	#14524023	C₂³	1	8	yes	complemented
325	#14524022	C₂³	1	8	yes	complemented
326	#14524021	C₂³	1	8	yes	complemented
327	#14524021	C₂³	1	8	yes	complemented
328	#14524021	C₂³	1	8	yes	complemented
329	#14524021	C₂³	1	8	yes	complemented
330	#14524020	C₂³	1	8	yes	complemented
331	#14524020	C₂³	1	8	yes	complemented
332	#14524020	C₂³	1	8	yes	complemented
333	#14524020	C₂³	1	8	yes	complemented
334	#14524019	C₂³	1	8	yes	complemented
335	#14524019	C₂³	1	8	yes	complemented
336	#14524018	C₂³	1	8	yes	complemented
337	#14524018	C₂³	1	8	yes	complemented
338	#14524017	C₂³	1	8	yes	complemented
339	#14524016	C₂³	1	8	yes	—
340	#14524016	C₂³	1	8	yes	—
341	#14524016	C₂³	1	8	yes	—
342	#14524016	C₂³	1	8	yes	—
343	#14524016	C₂³	1	8	yes	complemented
344	#14524016	C₂³	1	8	yes	complemented
345	#14524016	C₂³	1	8	yes	complemented
346	#14524016	C₂³	1	8	yes	complemented
347	#14524016	C₂³	1	8	yes	complemented
348	#14524016	C₂³	1	8	yes	complemented
349	#14524016	C₂³	1	8	yes	complemented
350	#14524016	C₂³	1	8	yes	complemented
351	#14524016	C₂³	1	8	yes	complemented
352	#14524016	C₂³	1	8	yes	complemented
353	#14524015	C₂³	1	8	yes	complemented
354	#14524015	C₂³	1	8	yes	complemented
355	#14524014	C₂³	1	8	yes	complemented
356	#14524014	C₂³	1	8	yes	complemented
357	#14524014	C₂³	1	8	yes	complemented
358	#14524013	C₂³	1	8	yes	—
359	#14524013	C₂³	1	8	yes	complemented
360	#14524013	C₂³	1	8	yes	complemented
361	#14524012	C₂³	1	8	yes	—
362	#14524011	C₂³	1	8	yes	—
363	#14524011	C₂³	1	8	yes	complemented
364	#14524011	C₂³	1	8	yes	complemented
365	C₄×Dic₁₃₄	C₂³	1	8	yes	complemented
366	#14524008	C₂³	1	8	yes	complemented
367	C₄×D₂₆₈	C₂³	1	8	yes	complemented
368	C₄×D₂₆₈	C₂³	1	8	yes	complemented
369	C₄×D₂₆₈	C₂³	1	8	yes	complemented
370	C₄×D₂₆₈	C₂³	1	8	yes	complemented
371	C₄×D₂₆₈	C₂³	1	8	yes	complemented
372	D₄×Dic₆₇	C₂³	1	8	yes	—
373	#14524005	C₂³	1	8	yes	complemented
374	#14524005	C₂³	1	8	yes	complemented
375	#14524005	C₂³	1	8	yes	complemented
376	#14524005	C₂³	1	8	yes	complemented
377	#14524005	C₂³	1	8	yes	complemented
378	#14524005	C₂³	1	8	yes	complemented
379	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	—
380	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	complemented
381	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	complemented
382	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	complemented
383	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	complemented
384	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	complemented
385	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	complemented
386	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	complemented
387	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	—
388	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	complemented
389	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	complemented
390	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	complemented
391	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	complemented
392	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	complemented
393	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	complemented
394	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	complemented
395	#14524002	C₂³	1	8	yes	complemented
396	#14524001	C₂³	1	8	yes	complemented
397	#14524000	C₂³	1	8	yes	complemented
398	#14524000	C₂³	1	8	yes	complemented
399	#14523999	C₂³	1	8	yes	complemented
400	#14523999	C₂³	1	8	yes	complemented
401	#14523999	C₂³	1	8	yes	complemented
402	#14523999	C₂³	1	8	yes	complemented
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×C₄⋊Dic₆₇	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	8	yes	complemented
432	C₄⋊C₄×D₆₇	C₂³	1	8	yes	complemented
433	C₄⋊C₄×D₆₇	C₂³	1	8	yes	complemented
434	C₄⋊C₄×D₆₇	C₂³	1	8	yes	complemented
435	C₄⋊C₄×D₆₇	C₂³	1	8	yes	complemented
436	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
437	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
438	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
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	8	yes	complemented
447	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
448	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
449	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
450	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
451	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
452	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
453	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
454	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
455	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
456	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
457	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
458	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
459	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
460	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
461	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
462	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
463	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
464	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
465	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
466	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
467	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	8	yes	complemented
472	C₂²⋊C₄×D₆₇	C₂³	1	8	yes	—
473	C₂²⋊C₄×D₆₇	C₂³	1	8	yes	—
474	C₂²⋊C₄×D₆₇	C₂³	1	8	yes	—
475	C₂²⋊C₄×D₆₇	C₂³	1	8	yes	complemented
476	C₂²⋊C₄×D₆₇	C₂³	1	8	yes	complemented
477	C₂²⋊C₄×D₆₇	C₂³	1	8	yes	complemented
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	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
486	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
487	C₄²×D₆₇	C₂³	1	8	yes	complemented
488	C₂⁵×C₆₇	C₂³	1	1	yes	characteristic
489	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic
490	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
491	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
492	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
493	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
494	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
495	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
496	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
497	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
498	#126×C₆₇	C₂³	1	8	yes	complemented
499	#126×C₆₇	C₂³	1	8	yes	complemented
500	#124×C₆₇	C₂³	1	8	yes	complemented
501	#123×C₆₇	C₂³	1	8	yes	—
502	#123×C₆₇	C₂³	1	8	yes	complemented
503	#123×C₆₇	C₂³	1	8	yes	complemented
504	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	complemented
505	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	complemented
506	#120×C₆₇	C₂³	1	8	yes	—
507	C₄×D₄×C₆₇	C₂³	1	8	yes	—
508	C₄×D₄×C₆₇	C₂³	1	8	yes	complemented
509	#117×C₆₇	C₂³	1	8	yes	complemented
510	#117×C₆₇	C₂³	1	8	yes	complemented
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×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
520	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
521	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
522	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
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×C₂²⋊C₄×C₆₇	C₂³	1	8	yes	complemented
534	C₂×C₂²⋊C₄×C₆₇	C₂³	1	8	yes	complemented
535	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
536	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
537	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
538	C₂³×D₆₇	—	2	4	no	—
539	C₂³×D₆₇	—	2	4	no	—
540	C₂³×D₆₇	—	4	2	no	—
541	C₂³×D₆₇	—	4	2	no	—
542	C₂³×D₆₇	—	4	2	no	—
543	C₂³×D₆₇	—	4	2	no	—
544	C₂³×D₆₇	—	4	2	no	—
545	C₂³×D₆₇	—	4	2	no	—
546	C₂³×D₆₇	#41	1	8	yes	complemented
547	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
548	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
549	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
550	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
551	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
552	C₂³×D₆₇	C₂⁴	1	4	yes	—
553	C₂³×D₆₇	C₂⁴	1	4	yes	—
554	C₂³×D₆₇	C₂⁴	1	4	yes	—
555	#11761628	—	4	16	no	—
556	#11761627	—	4	16	no	—
557	C₂×Dic₁₃₄	—	2	4	no	—
558	C₂×Dic₁₃₄	—	2	4	no	—
559	C₂×Dic₁₃₄	—	4	2	no	—
560	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
561	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
562	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
563	Q₈×D₆₇	—	4	16	no	—
564	C₂×D₂₆₈	—	2	4	no	—
565	C₂×D₂₆₈	—	2	4	no	—
566	C₂×D₂₆₈	—	2	4	no	—
567	C₂×D₂₆₈	—	2	4	no	—
568	C₂×D₂₆₈	—	2	4	no	—
569	C₂×D₂₆₈	—	2	32	no	—
570	C₂×D₂₆₈	—	4	2	no	—
571	C₂×D₂₆₈	—	4	2	no	—
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×C₂²⋊D₆₇	—	2	4	no	—
580	C₂×C₂²⋊D₆₇	—	2	4	no	—
581	C₂×C₂²⋊D₆₇	—	2	4	no	—
582	C₂×C₂²⋊D₆₇	—	2	4	no	—
583	C₂×C₂²⋊D₆₇	—	2	4	no	—
584	C₂×C₂²⋊D₆₇	—	2	4	no	—
585	C₂×C₂²⋊D₆₇	—	2	32	no	—
586	C₂×C₂²⋊D₆₇	—	2	4	no	—
587	C₂×C₂²⋊D₆₇	—	2	4	no	—
588	C₂×C₂²⋊D₆₇	—	4	16	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	C₂⁴	1	4	yes	—
596	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
597	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
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	D₄×D₆₇	—	2	32	no	—
610	C₂²×Dic₆₇	—	2	4	no	—
611	C₂²×Dic₆₇	—	2	4	no	—
612	C₂²×Dic₆₇	—	2	4	no	—
613	C₂²×Dic₆₇	—	4	2	no	—
614	C₂²×Dic₆₇	—	4	2	no	—
615	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
616	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
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	4	yes	—
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	4	yes	—
630	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
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	—	2	4	no	—
635	C₂×C₄×D₆₇	—	4	16	no	—
636	C₂×C₄×D₆₇	—	4	16	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	—	4	2	no	—
648	C₂×C₄×D₆₇	—	4	2	no	—
649	C₂×C₄×D₆₇	—	4	2	no	—
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	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
664	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
665	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
666	C₂×C₄×D₆₇	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	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
672	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
673	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
674	C₄⋊Dic₆₇	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	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
692	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
693	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
694	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
695	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
696	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
697	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
698	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
699	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
700	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
701	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
702	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
703	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
704	C₂²⋊Dic₆₇	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	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
724	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
725	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
726	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
727	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
728	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
729	C₄×Dic₆₇	C₂⁴	1	4	yes	—
730	C₄×Dic₆₇	C₂⁴	1	4	yes	—
731	C₄×Dic₆₇	C₂⁴	1	4	yes	—
732	C₄×Dic₆₇	C₂⁴	1	4	yes	—
733	C₄×Dic₆₇	C₂⁴	1	4	yes	—
734	C₄×Dic₆₇	C₂⁴	1	4	yes	—
735	C₄×Dic₆₇	C₂⁴	1	4	yes	—
736	C₄×Dic₆₇	C₂⁴	1	4	yes	—
737	C₄×Dic₆₇	C₂⁴	1	4	yes	—
738	C₂⁴×C₆₇	—	2	4	no	—
739	C₂⁴×C₆₇	—	4	2	no	—
740	C₂⁴×C₆₇	—	4	2	no	—
741	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
742	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
743	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
744	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
745	C₂⁴×C₆₇	C₂⁴	1	4	yes	—
746	C₂×Q₈×C₆₇	—	4	2	no	—
747	C₂×Q₈×C₆₇	C₂⁴	1	4	yes	—
748	C₂×D₄×C₆₇	—	2	4	no	—
749	C₂×D₄×C₆₇	—	4	2	no	—
750	C₂×D₄×C₆₇	—	4	2	no	—
751	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
752	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
753	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
754	C₂²×C₄×C₆₇	—	2	4	no	—
755	C₂²×C₄×C₆₇	—	4	2	no	—
756	C₂²×C₄×C₆₇	—	4	2	no	—
757	C₂²×C₄×C₆₇	—	4	2	no	—
758	C₂²×C₄×C₆₇	—	4	2	no	—
759	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
760	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
761	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
762	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
763	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
764	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
765	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
766	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
767	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
768	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
769	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
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	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
776	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
777	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
778	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
779	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
780	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
781	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
782	C₄⋊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	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
789	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
790	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
791	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
792	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
793	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
794	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
795	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
796	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
797	C₄²×C₆₇	C₂⁴	1	4	yes	—
798	C₄²×C₆₇	C₂⁴	1	4	yes	—
799	C₄²×C₆₇	C₂⁴	1	4	yes	—
800	C₂³×C₆₇	—	2	2	no	—
801	C₂³×C₆₇	—	2	2	no	—
802	C₂³×C₆₇	—	2	2	no	—
803	C₂³×C₆₇	—	2	2	no	—
804	C₂³×C₆₇	—	2	2	no	—
805	C₂³×C₆₇	—	2	2	no	—
806	C₂³×C₆₇	—	2	2	no	—
807	C₂³×C₆₇	—	2	2	no	—
808	C₂³×C₆₇	—	2	2	no	—
809	C₂³×C₆₇	—	2	2	no	—
810	C₂³×C₆₇	—	2	2	no	—
811	C₂³×C₆₇	—	2	8	no	—
812	C₂³×C₆₇	—	4	4	no	—
813	C₂³×C₆₇	—	4	4	no	—
814	C₂³×C₆₇	—	8	8	no	—
815	C₂³×C₆₇	C₂×#41	1	4	yes	—
816	C₂³×C₆₇	C₂⁵	1	2	yes	—
817	C₂³×C₆₇	C₂⁵	1	2	yes	—
818	C₂³×C₆₇	C₂⁵	1	2	yes	—
819	C₂³×C₆₇	C₂⁵	1	2	yes	—
820	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
821	C₂²×D₆₇	—	2	2	no	—
822	C₂²×D₆₇	—	2	2	no	—
823	C₂²×D₆₇	—	2	2	no	—
824	C₂²×D₆₇	—	2	2	no	—
825	C₂²×D₆₇	—	2	2	no	—
826	C₂²×D₆₇	—	2	2	no	—
827	C₂²×D₆₇	—	2	2	no	—
828	C₂²×D₆₇	—	2	2	no	—
829	C₂²×D₆₇	—	2	2	no	—
830	C₂²×D₆₇	—	2	2	no	—
831	C₂²×D₆₇	—	2	2	no	—
832	C₂²×D₆₇	—	2	2	no	—
833	C₂²×D₆₇	—	2	2	no	—
834	C₂²×D₆₇	—	2	8	no	—
835	C₂²×D₆₇	—	2	8	no	—
836	C₂²×D₆₇	—	4	4	no	—
837	C₂²×D₆₇	—	4	4	no	—
838	C₂²×D₆₇	—	4	16	no	—
839	C₂²×D₆₇	—	4	4	no	—
840	C₂²×D₆₇	—	4	4	no	—
841	C₂²×D₆₇	—	4	4	no	—
842	C₂²×D₆₇	—	4	4	no	—
843	C₂²×D₆₇	—	4	16	no	—
844	C₂²×D₆₇	—	8	8	no	—
845	C₂²×D₆₇	C₂×#41	1	4	yes	—
846	C₂²×D₆₇	C₂×#41	1	4	yes	—
847	C₂²×D₆₇	C₂×#41	1	16	yes	complemented
848	C₂²×D₆₇	C₂⁵	1	2	yes	—
849	C₂²×D₆₇	C₂⁵	1	2	yes	—
850	C₂²×D₆₇	C₂⁵	1	2	yes	—
851	C₂²×D₆₇	C₂⁵	1	2	yes	—
852	C₂²×D₆₇	C₂⁵	1	2	yes	—
853	Q₈×C₆₇	—	4	4	no	—
854	D₄×C₆₇	—	2	8	no	—
855	D₄×C₆₇	—	4	4	no	—
856	D₄×C₆₇	—	4	4	no	—
857	C₂×C₄×C₆₇	—	2	8	no	—
858	C₂×C₄×C₆₇	—	2	2	no	—
859	C₂×C₄×C₆₇	—	2	2	no	—
860	C₂×C₄×C₆₇	—	2	2	no	—
861	C₂×C₄×C₆₇	—	2	2	no	—
862	C₂×C₄×C₆₇	—	2	2	no	—
863	C₂×C₄×C₆₇	—	2	2	no	—
864	C₂×C₄×C₆₇	—	2	2	no	—
865	C₂×C₄×C₆₇	—	2	2	no	—
866	C₂×C₄×C₆₇	—	2	2	no	—
867	C₂×C₄×C₆₇	—	2	2	no	—
868	C₂×C₄×C₆₇	—	2	2	no	—
869	C₂×C₄×C₆₇	—	4	4	no	—
870	C₂×C₄×C₆₇	—	4	4	no	—
871	C₂×C₄×C₆₇	—	4	4	no	—
872	C₂×C₄×C₆₇	—	4	4	no	—
873	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
874	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
875	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
876	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
877	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
878	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
879	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
880	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
881	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
882	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
883	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
884	C₂²⋊D₆₇	—	2	8	no	—
885	C₂²⋊D₆₇	—	2	8	no	—
886	C₂²⋊D₆₇	—	2	8	no	—
887	C₂²⋊D₆₇	—	2	8	no	—
888	C₂²⋊D₆₇	—	2	8	no	—
889	C₂²⋊D₆₇	—	2	8	no	—
890	C₂²⋊D₆₇	—	2	8	no	—
891	C₂²⋊D₆₇	—	2	8	no	—
892	C₂²⋊D₆₇	—	4	4	no	—
893	C₂²⋊D₆₇	—	4	4	no	—
894	C₂²⋊D₆₇	—	4	4	no	—
895	C₂²⋊D₆₇	—	4	4	no	—
896	C₂²⋊D₆₇	—	4	4	no	—
897	C₂²⋊D₆₇	—	4	4	no	—
898	C₂×Dic₆₇	—	2	2	no	—
899	C₂×Dic₆₇	—	2	8	no	—
900	C₂×Dic₆₇	—	2	2	no	—
901	C₂×Dic₆₇	—	2	2	no	—
902	C₂×Dic₆₇	—	2	2	no	—
903	C₂×Dic₆₇	—	2	2	no	—
904	C₂×Dic₆₇	—	2	2	no	—
905	C₂×Dic₆₇	—	2	2	no	—
906	C₂×Dic₆₇	—	2	2	no	—
907	C₂×Dic₆₇	—	2	2	no	—
908	C₂×Dic₆₇	—	2	2	no	—
909	C₂×Dic₆₇	—	2	8	no	—
910	C₂×Dic₆₇	—	2	8	no	—
911	C₂×Dic₆₇	—	4	4	no	—
912	C₂×Dic₆₇	—	4	4	no	—
913	C₂×Dic₆₇	H(5,𝔽₂)	1	4	yes	—
914	C₂×Dic₆₇	C₂⁵	1	2	yes	—
915	C₂×Dic₆₇	C₂⁵	1	2	yes	—
916	C₂×Dic₆₇	C₂⁵	1	2	yes	—
917	C₂×Dic₆₇	C₂⁵	1	2	yes	—
918	C₂×Dic₆₇	C₂⁵	1	2	yes	—
919	C₂×Dic₆₇	C₂⁵	1	2	yes	—
920	C₂×Dic₆₇	C₂⁵	1	2	yes	—
921	C₂×Dic₆₇	C₂⁵	1	2	yes	—
922	C₂×Dic₆₇	C₂⁵	1	2	yes	—
923	C₂×Dic₆₇	C₂⁵	1	2	yes	—
924	C₂×Dic₆₇	C₂⁵	1	2	yes	—
925	D₂₆₈	—	2	8	no	—
926	D₂₆₈	—	2	8	no	—
927	D₂₆₈	—	2	8	no	—
928	D₂₆₈	—	2	8	no	—
929	D₂₆₈	—	2	8	no	—
930	D₂₆₈	—	4	4	no	—
931	D₂₆₈	—	4	4	no	—
932	C₄×D₆₇	—	2	8	no	—
933	C₄×D₆₇	—	2	8	no	—
934	C₄×D₆₇	—	2	8	no	—
935	C₄×D₆₇	—	2	8	no	—
936	C₄×D₆₇	—	4	4	no	—
937	C₄×D₆₇	—	4	4	no	—
938	C₄×D₆₇	—	4	4	no	—
939	C₄×D₆₇	—	4	4	no	—
940	C₄×D₆₇	—	4	4	no	—
941	C₄×D₆₇	—	4	4	no	—
942	C₄×D₆₇	—	4	4	no	—
943	C₄×D₆₇	—	4	4	no	—
944	C₄×D₆₇	—	4	4	no	—
945	C₄×D₆₇	—	4	4	no	—
946	C₄×D₆₇	—	4	4	no	—
947	C₄×D₆₇	—	4	4	no	—
948	C₄×D₆₇	—	4	4	no	—
949	Dic₁₃₄	—	2	8	no	—
950	Dic₁₃₄	—	2	8	no	—
951	Dic₁₃₄	—	4	4	no	—
952	C₂²×C₆₇	—	2	2	no	—
953	C₂²×C₆₇	—	2	2	no	—
954	C₂²×C₆₇	—	2	8	no	—
955	C₂²×C₆₇	—	2	2	no	—
956	C₂²×C₆₇	—	2	2	no	—
957	C₂²×C₆₇	—	2	2	no	—
958	C₂²×C₆₇	—	2	2	no	—
959	C₂²×C₆₇	—	2	2	no	—
960	C₂²×C₆₇	—	2	2	no	—
961	C₂²×C₆₇	—	2	2	no	—
962	C₂²×C₆₇	—	2	2	no	—
963	C₂²×C₆₇	—	2	2	no	—
964	C₂²×C₆₇	—	4	4	no	—
965	C₂²×C₆₇	—	4	4	no	—
966	C₂²×C₆₇	—	4	4	no	—
967	C₂²×C₆₇	—	8	8	no	—
968	C₂²×C₆₇	C₂²×#41	1	4	yes	—
969	C₂²×C₆₇	C₂²×#41	1	2	yes	—
970	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
971	C₂²×C₆₇	#585	1	2	yes	—
972	C₂²×C₆₇	C₂⁶	1	1	yes	characteristic
973	C₂×D₆₇	—	2	2	no	—
974	C₂×D₆₇	—	2	2	no	—
975	C₂×D₆₇	—	2	2	no	—
976	C₂×D₆₇	—	2	2	no	—
977	C₂×D₆₇	—	2	8	no	—
978	C₂×D₆₇	—	2	8	no	—
979	C₂×D₆₇	—	2	2	no	—
980	C₂×D₆₇	—	2	2	no	—
981	C₂×D₆₇	—	2	2	no	—
982	C₂×D₆₇	—	2	2	no	—
983	C₂×D₆₇	—	2	2	no	—
984	C₂×D₆₇	—	2	2	no	—
985	C₂×D₆₇	—	2	2	no	—
986	C₂×D₆₇	—	2	2	no	—
987	C₂×D₆₇	—	2	2	no	—
988	C₂×D₆₇	—	4	16	no	—
989	C₂×D₆₇	—	4	16	no	—
990	C₂×D₆₇	—	4	4	no	—
991	C₂×D₆₇	—	4	4	no	—
992	C₂×D₆₇	—	4	4	no	—
993	C₂×D₆₇	—	8	8	no	—
994	C₂×D₆₇	C₂²×#41	1	4	yes	—
995	C₂×D₆₇	C₂²×#41	1	4	yes	—
996	C₄×C₆₇	—	2	2	no	—
997	C₄×C₆₇	—	2	2	no	—
998	C₄×C₆₇	—	2	2	no	—
999	C₄×C₆₇	—	2	2	no	—
1000	C₄×C₆₇	—	2	2	no	—
1001	C₄×C₆₇	—	2	2	no	—
1002	C₄×C₆₇	—	2	2	no	—
1003	C₄×C₆₇	—	2	2	no	—
1004	C₄×C₆₇	—	2	2	no	—
1005	C₄×C₆₇	—	2	2	no	—
1006	C₄×C₆₇	—	2	2	no	—
1007	Dic₆₇	—	2	2	no	—
1008	Dic₆₇	—	2	2	no	—
1009	Dic₆₇	—	2	2	no	—
1010	Dic₆₇	—	2	2	no	—
1011	Dic₆₇	—	2	2	no	—
1012	Dic₆₇	—	2	2	no	—
1013	Dic₆₇	—	2	2	no	—
1014	Dic₆₇	—	2	2	no	—
1015	Dic₆₇	—	2	2	no	—
1016	Dic₆₇	—	2	2	no	—
1017	Dic₆₇	C₂×H(5,𝔽₂)	1	4	yes	—
1018	C₂×#3505	—	67	1	no	maximal, Sylow
1019	C₂×C₆₇	—	2	4	no	—
1020	C₂×C₆₇	—	4	2	no	—
1021	C₂×C₆₇	—	4	2	no	—
1022	C₂×C₆₇	—	4	2	no	—
1023	C₂×C₆₇	#3505	1	4	yes	complemented
1024	C₂×C₆₇	C₂³×#41	1	1	yes	characteristic
1025	C₂×C₆₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1026	C₂×C₆₇	C₂×#585	1	1	yes	characteristic
1027	D₆₇	—	2	4	no	—
1028	D₆₇	—	2	4	no	—
1029	D₆₇	—	4	2	no	—
1030	D₆₇	—	4	2	no	—
1031	D₆₇	—	4	2	no	—
1032	#3505	—	67	32	no	—
1033	C₂×#553	—	67	1	no	—
1034	C₂×#553	—	67	1	no	—
1035	C₂×#553	—	67	1	no	—
1036	C₂×#553	—	67	1	no	—
1037	C₂×#553	—	67	1	no	—
1038	C₂×#553	—	67	1	no	—
1039	C₂×#552	—	67	1	no	—
1040	C₂×#552	—	67	1	no	—
1041	C₂×#551	—	67	1	no	—
1042	C₂×#551	—	67	1	no	—
1043	C₂×#551	—	67	1	no	—
1044	C₂×#551	D₆₇	1	1	yes	characteristic, complemented
1045	C₂×#548	—	67	1	no	—
1046	C₂×#548	—	67	1	no	—
1047	C₂×#546	—	67	1	no	—
1048	C₂×#546	—	67	1	no	—
1049	C₂×#539	—	67	1	no	—
1050	C₂×#539	—	67	1	no	—
1051	C₂×#538	—	67	1	no	—
1052	C₂×#538	—	67	1	no	—
1053	C₂×#534	—	67	1	no	—
1054	C₂×#534	—	67	1	no	—
1055	C₂×#529	—	67	1	no	—
1056	C₂×#529	—	67	1	no	—
1057	C₂×#525	—	67	1	no	—
1058	C₂×#525	—	67	1	no	—
1059	C₂²×C₂²⋊Q₈	—	67	1	no	—
1060	C₂²×#121	—	67	1	no	—
1061	C₂×#518	—	67	1	no	—
1062	C₂×#518	—	67	1	no	—
1063	C₂²×C₄×D₄	—	67	1	no	—
1064	C₆₇	C₂×#3505	1	1	yes	characteristic, complemented, Sylow
1065	C₂²×#41	—	67	1	no	—
1066	C₂²×#41	—	67	1	no	—
1067	C₂³×Q₈	—	67	1	no	—
1068	C₂³×D₄	—	67	1	no	—
1069	C₂³×D₄	—	67	1	no	—
1070	C₂³×D₄	—	67	1	no	—
1071	C₂³×D₄	—	67	1	no	—
1072	C₂⁴×C₄	—	67	1	no	—
1073	C₂⁴×C₄	—	67	1	no	—
1074	#553	—	67	16	no	—
1075	#553	—	67	16	no	—
1076	#553	—	67	16	no	—
1077	#553	—	67	16	no	—
1078	#553	—	67	16	no	—
1079	#553	—	67	16	no	—
1080	#552	—	67	16	no	—
1081	#552	—	67	16	no	—
1082	#551	—	67	16	no	—
1083	#551	—	67	16	no	—
1084	#551	—	67	16	no	—
1085	#551	C₂×D₆₇	1	16	yes	complemented
1086	#548	—	67	16	no	—
1087	#548	—	67	16	no	—
1088	#546	—	67	16	no	—
1089	#546	—	67	16	no	—
1090	#539	—	67	16	no	—
1091	#539	—	67	16	no	—
1092	#538	—	67	16	no	—
1093	#538	—	67	16	no	—
1094	#534	—	67	16	no	—
1095	#534	—	67	16	no	—
1096	#529	—	67	16	no	—
1097	#529	—	67	16	no	—
1098	C₂×#126	—	67	1	no	—
1099	C₂×#126	—	67	1	no	—
1100	C₂×#126	—	67	1	no	—
1101	C₂×#126	—	67	1	no	—
1102	C₂×#126	—	67	1	no	—
1103	C₂×#126	—	67	1	no	—
1104	C₂×#126	—	67	1	no	—
1105	C₂×#126	—	67	1	no	—
1106	C₂×#126	—	67	1	no	—
1107	C₂×#126	—	67	1	no	—
1108	C₂×#126	C₂×D₆₇	1	1	yes	characteristic, complemented
1109	C₂×#126	C₂×D₆₇	1	1	yes	characteristic, complemented
1110	C₂×#125	—	67	1	no	—
1111	C₂×#125	—	67	1	no	—
1112	C₂×#125	—	67	1	no	—
1113	C₂×#125	—	67	1	no	—
1114	C₂×#125	—	67	1	no	—
1115	C₂×#125	—	67	1	no	—
1116	C₂×#124	—	67	1	no	—
1117	C₂×#124	—	67	1	no	—
1118	C₂×#124	—	67	1	no	—
1119	C₂×#124	—	67	1	no	—
1120	C₂×#124	—	67	1	no	—
1121	C₂×#124	C₂×D₆₇	1	1	yes	characteristic, complemented
1122	#525	—	67	16	no	—
1123	#525	—	67	16	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	—	67	1	no	—
1133	C₂×#123	—	67	1	no	—
1134	C₂×#123	—	67	1	no	—
1135	C₂×#123	—	67	1	no	—
1136	C₂×#123	—	67	1	no	—
1137	C₂×#123	—	67	1	no	—
1138	C₂×#123	—	67	1	no	—
1139	C₂×#123	—	67	1	no	—
1140	C₂×#123	—	67	1	no	—
1141	C₂×#123	C₂×D₆₇	1	1	yes	characteristic
1142	C₂×#123	C₂×D₆₇	1	1	yes	characteristic, complemented
1143	C₂×#123	C₂×D₆₇	1	1	yes	characteristic, complemented
1144	C₂×C₂²⋊Q₈	—	67	1	no	—
1145	C₂×C₂²⋊Q₈	—	67	1	no	—
1146	C₂×C₂²⋊Q₈	—	67	1	no	—
1147	C₂×C₂²⋊Q₈	—	67	16	no	—
1148	C₂×C₂²⋊Q₈	—	67	1	no	—
1149	C₂×C₂²⋊Q₈	—	67	1	no	—
1150	C₂×C₂²⋊Q₈	—	67	1	no	—
1151	C₂×C₂²⋊Q₈	—	67	1	no	—
1152	C₂×C₂²⋊Q₈	—	67	1	no	—
1153	C₂×C₂²⋊Q₈	—	67	1	no	—
1154	C₂×C₂²⋊Q₈	—	67	1	no	—
1155	C₂×C₂²⋊Q₈	—	67	1	no	—
1156	C₂×C₂²⋊Q₈	—	67	1	no	—
1157	C₂×C₂²⋊Q₈	C₂×D₆₇	1	1	yes	characteristic, complemented
1158	C₂×C₂²⋊Q₈	C₂×D₆₇	1	1	yes	characteristic, complemented
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	16	no	—
1182	C₂×#120	—	67	1	no	—
1183	C₂×#120	—	67	1	no	—
1184	C₂×#120	—	67	1	no	—
1185	C₂×#120	—	67	1	no	—
1186	C₂×#120	—	67	1	no	—
1187	C₂×#120	—	67	1	no	—
1188	C₂×#120	—	67	1	no	—
1189	C₂×#120	C₂×D₆₇	1	1	yes	characteristic
1190	#518	—	67	16	no	—
1191	#518	—	67	16	no	—
1192	C₂×C₄×Q₈	—	67	1	no	—
1193	C₂×C₄×Q₈	—	67	1	no	—
1194	C₂×C₄×D₄	—	67	1	no	—
1195	C₂×C₄×D₄	—	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	16	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	—	67	1	no	—
1217	C₂×C₄×D₄	—	67	1	no	—
1218	C₂×C₄×D₄	—	67	1	no	—
1219	C₂×C₄×D₄	—	67	1	no	—
1220	C₂×C₄×D₄	—	67	1	no	—
1221	C₂×C₄×D₄	—	67	1	no	—
1222	C₂×C₄×D₄	—	67	1	no	—
1223	C₂×C₄×D₄	C₂×D₆₇	1	1	yes	characteristic
1224	C₂×C₄×D₄	C₂×D₆₇	1	1	yes	characteristic, complemented
1225	C₂×#117	—	67	1	no	—
1226	C₂×#117	—	67	1	no	—
1227	C₂×#117	—	67	1	no	—
1228	C₂×#117	—	67	1	no	—
1229	C₂×#117	—	67	1	no	—
1230	C₂×#117	—	67	1	no	—
1231	C₂×#117	—	67	1	no	—
1232	C₂×#117	—	67	1	no	—
1233	C₂×#117	C₂×D₆₇	1	1	yes	characteristic, complemented
1234	C₂×#117	C₂×D₆₇	1	1	yes	characteristic, complemented
1235	C₂²×C₄⋊C₄	—	67	1	no	—
1236	C₂²×C₄⋊C₄	—	67	1	no	—
1237	C₂²×C₄⋊C₄	—	67	1	no	—
1238	C₂²×C₄⋊C₄	—	67	1	no	—
1239	C₂²×C₄⋊C₄	—	67	1	no	—
1240	C₂²×C₂²⋊C₄	—	67	1	no	—
1241	C₂²×C₂²⋊C₄	—	67	1	no	—
1242	C₂²×C₂²⋊C₄	—	67	1	no	—
1243	C₂²×C₂²⋊C₄	—	67	1	no	—
1244	C₂²×C₂²⋊C₄	—	67	1	no	—
1245	C₂²×C₂²⋊C₄	—	67	1	no	—
1246	C₂²×C₂²⋊C₄	—	67	1	no	—
1247	C₂²×C₂²⋊C₄	—	67	1	no	—
1248	C₂²×C₂²⋊C₄	C₂×D₆₇	1	1	yes	characteristic, complemented
1249	C₂²×C₂²⋊C₄	C₂×D₆₇	1	1	yes	characteristic, complemented
1250	C₂²×C₄²	—	67	1	no	—
1251	C₂⁵	—	67	1	no	—
1252	C₂⁵	—	67	1	no	—
1253	C₂⁵	—	67	1	no	—
1254	C₂⁵	C₂²×D₆₇	1	1	yes	characteristic
1255	C₂×#41	—	268	4	no	—
1256	C₂×#41	—	268	4	no	—
1257	C₂×#41	—	67	8	no	—
1258	C₂×#41	—	67	8	no	—
1259	C₂²×Q₈	—	268	4	no	—
1260	C₂²×Q₈	—	67	8	no	—
1261	C₂²×Q₈	—	67	1	no	—
1262	C₂²×Q₈	—	67	1	no	—
1263	C₂²×Q₈	—	67	1	no	—
1264	C₂²×Q₈	C₂²×D₆₇	1	1	yes	characteristic
1265	C₂²×D₄	—	268	4	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	8	no	—
1273	C₂²×D₄	—	67	1	no	—
1274	C₂²×D₄	—	67	1	no	—
1275	C₂²×D₄	—	67	1	no	—
1276	C₂²×D₄	—	67	1	no	—
1277	C₂²×D₄	—	67	1	no	—
1278	C₂²×D₄	—	67	1	no	—
1279	C₂²×D₄	—	67	1	no	—
1280	C₂²×D₄	—	67	1	no	—
1281	C₂²×D₄	—	67	8	no	—
1282	C₂²×D₄	—	67	8	no	—
1283	C₂²×D₄	—	67	1	no	—
1284	C₂²×D₄	—	67	1	no	—
1285	C₂²×D₄	—	67	1	no	—
1286	C₂²×D₄	—	67	1	no	—
1287	C₂²×D₄	—	67	1	no	—
1288	C₂²×D₄	—	67	1	no	—
1289	C₂²×D₄	—	67	1	no	—
1290	C₂²×D₄	—	67	8	no	—
1291	C₂²×D₄	—	134	8	no	—
1292	C₂²×D₄	—	134	8	no	—
1293	C₂²×D₄	—	134	8	no	—
1294	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1295	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1296	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1297	C₂³×C₄	—	268	4	no	—
1298	C₂³×C₄	—	268	4	no	—
1299	C₂³×C₄	—	67	1	no	—
1300	C₂³×C₄	—	67	1	no	—
1301	C₂³×C₄	—	67	1	no	—
1302	C₂³×C₄	—	67	1	no	—
1303	C₂³×C₄	—	67	1	no	—
1304	C₂³×C₄	—	67	1	no	—
1305	C₂³×C₄	—	67	1	no	—
1306	C₂³×C₄	—	67	1	no	—
1307	C₂³×C₄	—	67	1	no	—
1308	C₂³×C₄	—	67	1	no	—
1309	C₂³×C₄	—	67	1	no	—
1310	C₂³×C₄	—	67	1	no	—
1311	C₂³×C₄	—	67	1	no	—
1312	C₂³×C₄	—	67	1	no	—
1313	C₂³×C₄	—	67	1	no	—
1314	C₂³×C₄	—	67	8	no	—
1315	C₂³×C₄	—	67	8	no	—
1316	C₂³×C₄	—	67	1	no	—
1317	C₂³×C₄	—	67	1	no	—
1318	C₂³×C₄	—	67	1	no	—
1319	C₂³×C₄	—	67	1	no	—
1320	C₂³×C₄	—	67	1	no	—
1321	C₂³×C₄	—	67	1	no	—
1322	C₂³×C₄	—	67	1	no	—
1323	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1324	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1325	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1326	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1327	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1328	#126	—	67	8	no	—
1329	#126	—	67	8	no	—
1330	#126	—	67	8	no	—
1331	#126	—	67	8	no	—
1332	#126	—	67	8	no	—
1333	#126	—	67	8	no	—
1334	#126	—	67	8	no	—
1335	#126	—	67	8	no	—
1336	#126	—	67	8	no	—
1337	#126	—	67	8	no	—
1338	#126	C₂²×D₆₇	1	8	yes	complemented
1339	#126	C₂²×D₆₇	1	8	yes	complemented
1340	#125	—	67	8	no	—
1341	#125	—	67	8	no	—
1342	#125	—	67	8	no	—
1343	#125	—	67	8	no	—
1344	#125	—	67	8	no	—
1345	#125	—	67	8	no	—
1346	#124	—	67	8	no	—
1347	#124	—	67	8	no	—
1348	#124	—	67	8	no	—
1349	#124	—	67	8	no	—
1350	#124	—	67	8	no	—
1351	#124	C₂²×D₆₇	1	8	yes	complemented
1352	#123	—	67	8	no	—
1353	#123	—	67	8	no	—
1354	#123	—	67	8	no	—
1355	#123	—	67	8	no	—
1356	#123	—	67	8	no	—
1357	#123	—	67	8	no	—
1358	#123	—	67	8	no	—
1359	#123	—	67	8	no	—
1360	#123	—	67	8	no	—
1361	#123	—	67	8	no	—
1362	#123	—	67	8	no	—
1363	#123	—	67	8	no	—
1364	#123	—	67	8	no	—
1365	#123	—	67	8	no	—
1366	#123	—	67	8	no	—
1367	#123	—	67	8	no	—
1368	#123	—	67	8	no	—
1369	#123	C₂²×D₆₇	1	8	yes	—
1370	#123	C₂²×D₆₇	1	8	yes	complemented
1371	#123	C₂²×D₆₇	1	8	yes	complemented
1372	C₂²⋊Q₈	—	67	8	no	—
1373	C₂²⋊Q₈	—	67	8	no	—
1374	C₂²⋊Q₈	—	67	8	no	—
1375	C₂²⋊Q₈	—	67	8	no	—
1376	C₂²⋊Q₈	—	67	8	no	—
1377	C₂²⋊Q₈	—	67	8	no	—
1378	C₂²⋊Q₈	—	67	8	no	—
1379	C₂²⋊Q₈	—	67	8	no	—
1380	C₂²⋊Q₈	—	67	8	no	—
1381	C₂²⋊Q₈	—	67	8	no	—
1382	C₂²⋊Q₈	—	67	8	no	—
1383	C₂²⋊Q₈	—	67	8	no	—
1384	C₂²⋊Q₈	C₂²×D₆₇	1	8	yes	complemented
1385	C₂²⋊Q₈	C₂²×D₆₇	1	8	yes	complemented
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	#120	—	67	8	no	—
1409	#120	—	67	8	no	—
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	C₂²×D₆₇	1	8	yes	—
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	—	67	8	no	—
1439	C₄×D₄	—	67	8	no	—
1440	C₄×D₄	—	67	8	no	—
1441	C₄×D₄	—	67	8	no	—
1442	C₄×D₄	—	67	8	no	—
1443	C₄×D₄	—	67	8	no	—
1444	C₄×D₄	—	67	8	no	—
1445	C₄×D₄	—	67	8	no	—
1446	C₄×D₄	C₂²×D₆₇	1	8	yes	—
1447	C₄×D₄	C₂²×D₆₇	1	8	yes	complemented
1448	#117	—	67	8	no	—
1449	#117	—	67	8	no	—
1450	#117	—	67	8	no	—
1451	#117	—	67	8	no	—
1452	#117	—	67	8	no	—
1453	#117	—	67	8	no	—
1454	#117	—	67	8	no	—
1455	#117	—	67	8	no	—
1456	#117	C₂²×D₆₇	1	8	yes	complemented
1457	#117	C₂²×D₆₇	1	8	yes	complemented
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	1	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	8	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	1	no	—
1477	C₂×C₄⋊C₄	—	67	1	no	—
1478	C₂×C₄⋊C₄	—	67	1	no	—
1479	C₂×C₄⋊C₄	—	67	1	no	—
1480	C₂×C₄⋊C₄	—	67	1	no	—
1481	C₂×C₄⋊C₄	—	67	1	no	—
1482	C₂×C₄⋊C₄	—	67	1	no	—
1483	C₂×C₄⋊C₄	—	67	1	no	—
1484	C₂×C₄⋊C₄	—	67	1	no	—
1485	C₂×C₄⋊C₄	—	67	1	no	—
1486	C₂×C₄⋊C₄	—	67	1	no	—
1487	C₂×C₄⋊C₄	—	67	8	no	—
1488	C₂×C₄⋊C₄	—	67	8	no	—
1489	C₂×C₄⋊C₄	—	67	8	no	—
1490	C₂×C₄⋊C₄	—	67	8	no	—
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	1	yes	characteristic
1495	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1496	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1497	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1498	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
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	8	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	8	no	—
1527	C₂×C₂²⋊C₄	—	67	1	no	—
1528	C₂×C₂²⋊C₄	—	67	1	no	—
1529	C₂×C₂²⋊C₄	—	67	1	no	—
1530	C₂×C₂²⋊C₄	—	67	1	no	—
1531	C₂×C₂²⋊C₄	—	67	1	no	—
1532	C₂×C₂²⋊C₄	—	67	1	no	—
1533	C₂×C₂²⋊C₄	—	67	1	no	—
1534	C₂×C₂²⋊C₄	—	67	1	no	—
1535	C₂×C₂²⋊C₄	—	67	8	no	—
1536	C₂×C₂²⋊C₄	—	67	8	no	—
1537	C₂×C₂²⋊C₄	—	67	8	no	—
1538	C₂×C₂²⋊C₄	—	67	8	no	—
1539	C₂×C₂²⋊C₄	—	67	8	no	—
1540	C₂×C₂²⋊C₄	—	67	8	no	—
1541	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1542	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1543	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1544	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1545	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1546	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1547	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1548	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1549	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1550	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1551	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1552	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1553	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1554	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1555	C₂×C₂²⋊C₄	C₂²×D₆₇	1	8	yes	complemented
1556	C₂×C₂²⋊C₄	C₂²×D₆₇	1	8	yes	complemented
1557	C₂×C₄²	—	67	1	no	—
1558	C₂×C₄²	—	67	1	no	—
1559	C₂×C₄²	—	67	1	no	—
1560	C₂×C₄²	—	67	1	no	—
1561	C₂×C₄²	—	67	1	no	—
1562	C₂×C₄²	—	67	1	no	—
1563	C₂×C₄²	—	67	1	no	—
1564	C₂×C₄²	—	67	1	no	—
1565	C₂×C₄²	—	67	1	no	—
1566	C₂×C₄²	—	67	8	no	—
1567	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
1568	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
1569	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
1570	C₂⁴	—	2	4	no	—
1571	C₂⁴	—	4	2	no	—
1572	C₂⁴	—	4	2	no	—
1573	C₂⁴	—	268	2	no	—
1574	C₂⁴	—	268	2	no	—
1575	C₂⁴	—	268	2	no	—
1576	C₂⁴	—	268	2	no	—
1577	C₂⁴	—	268	2	no	—
1578	C₂⁴	—	268	2	no	—
1579	C₂⁴	—	67	8	no	—
1580	C₂⁴	—	67	4	no	—
1581	C₂⁴	—	67	4	no	—
1582	C₂⁴	—	67	4	no	—
1583	C₂⁴	—	67	1	no	—
1584	C₂⁴	—	67	1	no	—
1585	C₂⁴	—	67	1	no	—
1586	C₂⁴	—	67	1	no	—
1587	C₂⁴	—	67	1	no	—
1588	C₂⁴	—	134	4	no	—
1589	C₂⁴	—	134	4	no	—
1590	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1591	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1592	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1593	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1594	C₂⁴	C₂³×D₆₇	1	4	yes	—
1595	#41	—	268	16	no	—
1596	#41	—	268	16	no	—
1597	C₂×Q₈	—	4	2	no	—
1598	C₂×Q₈	—	268	2	no	—
1599	C₂×Q₈	—	268	16	no	—
1600	C₂×Q₈	—	67	4	no	—
1601	C₂×Q₈	—	67	4	no	—
1602	C₂×Q₈	—	67	4	no	—
1603	C₂×Q₈	—	134	4	no	—
1604	C₂×Q₈	—	134	4	no	—
1605	C₂×Q₈	C₂³×D₆₇	1	4	yes	—
1606	C₂×D₄	—	2	4	no	—
1607	C₂×D₄	—	4	2	no	—
1608	C₂×D₄	—	4	2	no	—
1609	C₂×D₄	—	268	2	no	—
1610	C₂×D₄	—	268	2	no	—
1611	C₂×D₄	—	268	2	no	—
1612	C₂×D₄	—	268	2	no	—
1613	C₂×D₄	—	268	2	no	—
1614	C₂×D₄	—	268	2	no	—
1615	C₂×D₄	—	268	2	no	—
1616	C₂×D₄	—	268	2	no	—
1617	C₂×D₄	—	268	16	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	—	67	4	no	—
1633	C₂×D₄	—	67	4	no	—
1634	C₂×D₄	—	67	4	no	—
1635	C₂×D₄	—	67	4	no	—
1636	C₂×D₄	—	67	4	no	—
1637	C₂×D₄	—	67	4	no	—
1638	C₂×D₄	—	67	4	no	—
1639	C₂×D₄	—	134	32	no	—
1640	C₂×D₄	—	134	4	no	—
1641	C₂×D₄	—	134	4	no	—
1642	C₂×D₄	—	134	4	no	—
1643	C₂×D₄	—	134	4	no	—
1644	C₂×D₄	—	134	4	no	—
1645	C₂×D₄	—	134	4	no	—
1646	C₂×D₄	—	134	4	no	—
1647	C₂×D₄	—	134	32	no	—
1648	C₂×D₄	—	134	4	no	—
1649	C₂×D₄	—	134	4	no	—
1650	C₂×D₄	—	134	4	no	—
1651	C₂×D₄	—	134	4	no	—
1652	C₂×D₄	—	134	4	no	—
1653	C₂×D₄	—	134	32	no	—
1654	C₂×D₄	—	134	4	no	—
1655	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1656	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1657	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1658	C₂²×C₄	—	2	4	no	—
1659	C₂²×C₄	—	4	2	no	—
1660	C₂²×C₄	—	4	2	no	—
1661	C₂²×C₄	—	4	2	no	—
1662	C₂²×C₄	—	4	2	no	—
1663	C₂²×C₄	—	268	2	no	—
1664	C₂²×C₄	—	268	2	no	—
1665	C₂²×C₄	—	268	2	no	—
1666	C₂²×C₄	—	268	2	no	—
1667	C₂²×C₄	—	268	2	no	—
1668	C₂²×C₄	—	268	2	no	—
1669	C₂²×C₄	—	268	2	no	—
1670	C₂²×C₄	—	268	2	no	—
1671	C₂²×C₄	—	268	2	no	—
1672	C₂²×C₄	—	268	2	no	—
1673	C₂²×C₄	—	268	2	no	—
1674	C₂²×C₄	—	268	2	no	—
1675	C₂²×C₄	—	268	2	no	—
1676	C₂²×C₄	—	268	16	no	—
1677	C₂²×C₄	—	268	16	no	—
1678	C₂²×C₄	—	268	2	no	—
1679	C₂²×C₄	—	268	2	no	—
1680	C₂²×C₄	—	67	4	no	—
1681	C₂²×C₄	—	67	4	no	—
1682	C₂²×C₄	—	67	4	no	—
1683	C₂²×C₄	—	67	4	no	—
1684	C₂²×C₄	—	67	4	no	—
1685	C₂²×C₄	—	67	4	no	—
1686	C₂²×C₄	—	67	4	no	—
1687	C₂²×C₄	—	67	4	no	—
1688	C₂²×C₄	—	67	4	no	—
1689	C₂²×C₄	—	67	4	no	—
1690	C₂²×C₄	—	67	4	no	—
1691	C₂²×C₄	—	67	4	no	—
1692	C₂²×C₄	—	67	4	no	—
1693	C₂²×C₄	—	67	4	no	—
1694	C₂²×C₄	—	67	4	no	—
1695	C₂²×C₄	—	67	1	no	—
1696	C₂²×C₄	—	67	4	no	—
1697	C₂²×C₄	—	67	4	no	—
1698	C₂²×C₄	—	67	4	no	—
1699	C₂²×C₄	—	67	1	no	—
1700	C₂²×C₄	—	67	1	no	—
1701	C₂²×C₄	—	67	1	no	—
1702	C₂²×C₄	—	67	1	no	—
1703	C₂²×C₄	—	67	1	no	—
1704	C₂²×C₄	—	67	1	no	—
1705	C₂²×C₄	—	67	1	no	—
1706	C₂²×C₄	—	67	1	no	—
1707	C₂²×C₄	—	67	1	no	—
1708	C₂²×C₄	—	67	1	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	—	134	4	no	—
1714	C₂²×C₄	—	134	4	no	—
1715	C₂²×C₄	—	134	4	no	—
1716	C₂²×C₄	—	134	4	no	—
1717	C₂²×C₄	—	134	4	no	—
1718	C₂²×C₄	—	134	4	no	—
1719	C₂²×C₄	—	134	4	no	—
1720	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1721	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1722	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1723	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1724	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1725	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1726	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1727	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1728	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1729	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1730	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1731	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1732	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1733	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1734	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1735	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1736	C₄⋊C₄	—	67	4	no	—
1737	C₄⋊C₄	—	67	4	no	—
1738	C₄⋊C₄	—	67	4	no	—
1739	C₄⋊C₄	—	67	4	no	—
1740	C₄⋊C₄	—	67	4	no	—
1741	C₄⋊C₄	—	67	4	no	—
1742	C₄⋊C₄	—	67	4	no	—
1743	C₄⋊C₄	—	67	4	no	—
1744	C₄⋊C₄	—	67	4	no	—
1745	C₄⋊C₄	—	67	4	no	—
1746	C₄⋊C₄	—	67	4	no	—
1747	C₄⋊C₄	—	67	4	no	—
1748	C₄⋊C₄	—	67	4	no	—
1749	C₄⋊C₄	—	67	4	no	—
1750	C₄⋊C₄	—	67	4	no	—
1751	C₄⋊C₄	—	67	4	no	—
1752	C₄⋊C₄	—	67	4	no	—
1753	C₄⋊C₄	—	67	4	no	—
1754	C₄⋊C₄	—	67	4	no	—
1755	C₄⋊C₄	—	67	4	no	—
1756	C₄⋊C₄	—	67	4	no	—
1757	C₄⋊C₄	—	67	4	no	—
1758	C₄⋊C₄	—	67	4	no	—
1759	C₄⋊C₄	—	67	4	no	—
1760	C₄⋊C₄	—	67	4	no	—
1761	C₄⋊C₄	—	67	4	no	—
1762	C₄⋊C₄	—	67	4	no	—
1763	C₄⋊C₄	—	67	4	no	—
1764	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1765	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1766	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1767	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1768	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1769	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1770	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1771	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
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	—	67	4	no	—
1783	C₂²⋊C₄	—	67	4	no	—
1784	C₂²⋊C₄	—	67	4	no	—
1785	C₂²⋊C₄	—	67	4	no	—
1786	C₂²⋊C₄	—	67	4	no	—
1787	C₂²⋊C₄	—	67	4	no	—
1788	C₂²⋊C₄	—	67	4	no	—
1789	C₂²⋊C₄	—	67	4	no	—
1790	C₂²⋊C₄	—	67	4	no	—
1791	C₂²⋊C₄	—	67	4	no	—
1792	C₂²⋊C₄	—	67	4	no	—
1793	C₂²⋊C₄	—	67	4	no	—
1794	C₂²⋊C₄	—	67	4	no	—
1795	C₂²⋊C₄	—	67	4	no	—
1796	C₂²⋊C₄	—	67	4	no	—
1797	C₂²⋊C₄	—	67	4	no	—
1798	C₂²⋊C₄	—	67	4	no	—
1799	C₂²⋊C₄	—	67	4	no	—
1800	C₂²⋊C₄	—	67	4	no	—
1801	C₂²⋊C₄	—	67	4	no	—
1802	C₂²⋊C₄	—	67	4	no	—
1803	C₂²⋊C₄	—	67	4	no	—
1804	C₂²⋊C₄	—	67	4	no	—
1805	C₂²⋊C₄	—	67	4	no	—
1806	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1807	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1808	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1809	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1810	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1811	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1812	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1813	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1814	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1815	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1816	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1817	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1818	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1819	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1820	C₄²	—	67	4	no	—
1821	C₄²	—	67	4	no	—
1822	C₄²	—	67	4	no	—
1823	C₄²	—	67	4	no	—
1824	C₄²	—	67	4	no	—
1825	C₄²	—	67	4	no	—
1826	C₄²	—	67	4	no	—
1827	C₄²	—	67	4	no	—
1828	C₄²	—	67	4	no	—
1829	C₄²	C₂³×D₆₇	1	4	yes	—
1830	C₄²	C₂³×D₆₇	1	4	yes	—
1831	C₄²	C₂³×D₆₇	1	4	yes	—
1832	C₂³	—	2	2	no	—
1833	C₂³	—	2	2	no	—
1834	C₂³	—	2	2	no	—
1835	C₂³	—	2	2	no	—
1836	C₂³	—	2	2	no	—
1837	C₂³	—	2	2	no	—
1838	C₂³	—	2	2	no	—
1839	C₂³	—	2	2	no	—
1840	C₂³	—	2	2	no	—
1841	C₂³	—	2	2	no	—
1842	C₂³	—	2	2	no	—
1843	C₂³	—	2	8	no	—
1844	C₂³	—	4	4	no	—
1845	C₂³	—	4	4	no	—
1846	C₂³	—	8	8	no	—
1847	C₂³	—	268	4	no	—
1848	C₂³	—	268	4	no	—
1849	C₂³	—	268	4	no	—
1850	C₂³	—	268	16	no	—
1851	C₂³	—	268	4	no	—
1852	C₂³	—	268	4	no	—
1853	C₂³	—	268	4	no	—
1854	C₂³	—	268	16	no	—
1855	C₂³	—	536	8	no	—
1856	C₂³	—	67	16	no	—
1857	C₂³	—	67	4	no	—
1858	C₂³	—	67	4	no	—
1859	C₂³	—	67	2	no	—
1860	C₂³	—	67	2	no	—
1861	C₂³	—	67	2	no	—
1862	C₂³	—	67	2	no	—
1863	C₂³	—	67	2	no	—
1864	C₂³	—	134	8	no	—
1865	C₂³	—	134	2	no	—
1866	C₂³	—	134	2	no	—
1867	C₂³	—	134	2	no	—
1868	C₂³	—	134	2	no	—
1869	C₂³	—	134	2	no	—
1870	C₂³	—	134	2	no	—
1871	C₂³	—	134	2	no	—
1872	C₂³	—	134	2	no	—
1873	C₂³	—	134	2	no	—
1874	C₂³	—	134	8	no	—
1875	C₂³	—	134	2	no	—
1876	C₂³	—	134	2	no	—
1877	C₂³	—	134	2	no	—
1878	C₂³	—	134	2	no	—
1879	C₂³	#41×D₆₇	1	4	yes	—
1880	C₂³	C₂⁴×D₆₇	1	2	yes	—
1881	C₂³	C₂⁴×D₆₇	1	2	yes	—
1882	C₂³	C₂⁴×D₆₇	1	2	yes	—
1883	C₂³	C₂⁴×D₆₇	1	2	yes	—
1884	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
1885	Q₈	—	4	4	no	—
1886	Q₈	—	268	4	no	—
1887	Q₈	—	134	8	no	—
1888	Q₈	—	134	8	no	—
1889	D₄	—	2	8	no	—
1890	D₄	—	4	4	no	—
1891	D₄	—	4	4	no	—
1892	D₄	—	268	4	no	—
1893	D₄	—	268	4	no	—
1894	D₄	—	268	4	no	—
1895	D₄	—	268	4	no	—
1896	D₄	—	268	4	no	—
1897	D₄	—	268	4	no	—
1898	D₄	—	268	4	no	—
1899	D₄	—	268	4	no	—
1900	D₄	—	134	8	no	—
1901	D₄	—	134	8	no	—
1902	D₄	—	134	8	no	—
1903	D₄	—	134	8	no	—
1904	D₄	—	134	8	no	—
1905	D₄	—	134	8	no	—
1906	D₄	—	134	8	no	—
1907	D₄	—	134	8	no	—
1908	D₄	—	134	8	no	—
1909	D₄	—	134	8	no	—
1910	D₄	—	134	8	no	—
1911	D₄	—	134	8	no	—
1912	D₄	—	134	8	no	—
1913	C₂×C₄	—	2	8	no	—
1914	C₂×C₄	—	2	2	no	—
1915	C₂×C₄	—	2	2	no	—
1916	C₂×C₄	—	2	2	no	—
1917	C₂×C₄	—	2	2	no	—
1918	C₂×C₄	—	2	2	no	—
1919	C₂×C₄	—	2	2	no	—
1920	C₂×C₄	—	2	2	no	—
1921	C₂×C₄	—	2	2	no	—
1922	C₂×C₄	—	2	2	no	—
1923	C₂×C₄	—	2	2	no	—
1924	C₂×C₄	—	2	2	no	—
1925	C₂×C₄	—	4	4	no	—
1926	C₂×C₄	—	4	4	no	—
1927	C₂×C₄	—	4	4	no	—
1928	C₂×C₄	—	4	4	no	—
1929	C₂×C₄	—	268	4	no	—
1930	C₂×C₄	—	268	4	no	—
1931	C₂×C₄	—	268	4	no	—
1932	C₂×C₄	—	268	4	no	—
1933	C₂×C₄	—	268	4	no	—
1934	C₂×C₄	—	268	4	no	—
1935	C₂×C₄	—	268	4	no	—
1936	C₂×C₄	—	268	4	no	—
1937	C₂×C₄	—	268	4	no	—
1938	C₂×C₄	—	268	4	no	—
1939	C₂×C₄	—	268	4	no	—
1940	C₂×C₄	—	268	4	no	—
1941	C₂×C₄	—	268	4	no	—
1942	C₂×C₄	—	268	4	no	—
1943	C₂×C₄	—	268	4	no	—
1944	C₂×C₄	—	67	4	no	—
1945	C₂×C₄	—	67	2	no	—
1946	C₂×C₄	—	67	2	no	—
1947	C₂×C₄	—	67	2	no	—
1948	C₂×C₄	—	67	2	no	—
1949	C₂×C₄	—	67	2	no	—
1950	C₂×C₄	—	67	2	no	—
1951	C₂×C₄	—	67	2	no	—
1952	C₂×C₄	—	67	2	no	—
1953	C₂×C₄	—	67	2	no	—
1954	C₂×C₄	—	67	2	no	—
1955	C₂×C₄	—	67	2	no	—
1956	C₂×C₄	—	134	8	no	—
1957	C₂×C₄	—	134	8	no	—
1958	C₂×C₄	—	134	8	no	—
1959	C₂×C₄	—	134	8	no	—
1960	C₂×C₄	—	134	8	no	—
1961	C₂×C₄	—	134	8	no	—
1962	C₂×C₄	—	134	8	no	—
1963	C₂×C₄	—	134	2	no	—
1964	C₂×C₄	—	134	2	no	—
1965	C₂×C₄	—	134	2	no	—
1966	C₂×C₄	—	134	2	no	—
1967	C₂×C₄	—	134	2	no	—
1968	C₂×C₄	—	134	2	no	—
1969	C₂×C₄	—	134	2	no	—
1970	C₂×C₄	—	134	2	no	—
1971	C₂×C₄	—	134	2	no	—
1972	C₂×C₄	—	134	2	no	—
1973	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1974	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1975	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1976	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1977	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1978	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1979	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1980	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1981	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1982	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1983	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1984	C₂²	—	2	2	no	—
1985	C₂²	—	2	2	no	—
1986	C₂²	—	2	8	no	—
1987	C₂²	—	2	2	no	—
1988	C₂²	—	2	2	no	—
1989	C₂²	—	2	2	no	—
1990	C₂²	—	2	2	no	—
1991	C₂²	—	2	2	no	—
1992	C₂²	—	2	2	no	—
1993	C₂²	—	2	2	no	—
1994	C₂²	—	2	2	no	—
1995	C₂²	—	2	2	no	—
1996	C₂²	—	4	4	no	—
1997	C₂²	—	4	4	no	—
1998	C₂²	—	4	4	no	—
1999	C₂²	—	8	8	no	—
2000	C₂²	—	268	16	no	—
2001	C₂²	—	268	16	no	—
2002	C₂²	—	268	4	no	—
2003	C₂²	—	268	4	no	—
2004	C₂²	—	268	4	no	—
2005	C₂²	—	536	8	no	—
2006	C₂²	—	67	4	no	—
2007	C₂²	—	67	4	no	—
2008	C₂²	—	134	2	no	—
2009	C₂²	—	134	2	no	—
2010	C₂²	—	134	2	no	—
2011	C₂²	—	134	2	no	—
2012	C₂²	—	134	2	no	—
2013	C₂²	—	134	2	no	—
2014	C₂²	—	134	2	no	—
2015	C₂²	—	134	2	no	—
2016	C₂²	—	134	2	no	—
2017	C₂²	—	134	2	no	—
2018	C₂²	—	134	2	no	—
2019	C₂²	—	134	2	no	—
2020	C₂²	—	134	2	no	—
2021	C₂²	—	134	8	no	—
2022	C₂²	—	134	8	no	—
2023	C₂²	C₂×#41×D₆₇	1	4	yes	—
2024	C₂²	C₂×#41×D₆₇	1	2	yes	—
2025	C₂²	H(5,𝔽₂)×D₆₇	1	2	yes	—
2026	C₂²	#16864232	1	2	yes	—
2027	C₂²	C₂⁵×D₆₇	1	1	yes	characteristic
2028	C₄	—	2	2	no	—
2029	C₄	—	2	2	no	—
2030	C₄	—	2	2	no	—
2031	C₄	—	2	2	no	—
2032	C₄	—	2	2	no	—
2033	C₄	—	2	2	no	—
2034	C₄	—	2	2	no	—
2035	C₄	—	2	2	no	—
2036	C₄	—	2	2	no	—
2037	C₄	—	2	2	no	—
2038	C₄	—	2	2	no	—
2039	C₄	—	67	4	no	—
2040	C₄	—	134	2	no	—
2041	C₄	—	134	2	no	—
2042	C₄	—	134	2	no	—
2043	C₄	—	134	2	no	—
2044	C₄	—	134	2	no	—
2045	C₄	—	134	2	no	—
2046	C₄	—	134	2	no	—
2047	C₄	—	134	2	no	—
2048	C₄	—	134	2	no	—
2049	C₄	—	134	2	no	—
2050	C₂	—	2	4	no	—
2051	C₂	—	4	2	no	—
2052	C₂	—	4	2	no	—
2053	C₂	—	4	2	no	—
2054	C₂	—	268	2	no	—
2055	C₂	—	268	2	no	—
2056	C₂	—	268	2	no	—
2057	C₂	—	134	4	no	—
2058	C₂	—	134	4	no	—
2059	C₂	#22574040	1	4	yes	direct product factor
2060	C₂	C₂²×#41×D₆₇	1	1	yes	characteristic
2061	C₂	C₂×H(5,𝔽₂)×D₆₇	1	1	yes	characteristic
2062	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×#551×C₆₇	C₂
socle	C₂³×C₆₇	C₂⁵
hypercenter	C₂×#551	D₆₇
hypocenter	C₆₇	C₂×#3505
LCS	G ▷ C₂²×C₆₇ ▷ C₆₇
UCS	C₁ ◁ C₂³ ◁ C₂×#551

Complements

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

N	H ≅ G/N	type
1. #22574040	C₂	direct (N × H)
2. C₂×#16864097	C₂	semidirect
3. C₂×#16864097	C₂	semidirect
4. C₂×#16864096	C₂	semidirect
5. C₂×#16864091	C₂	semidirect
6. C₂×#16864091	C₂	semidirect
7. C₂×#16864090	C₂	semidirect
8. C₂×#16864083	C₂	semidirect
9. C₂×#16864079	C₂	semidirect
10. C₂×#16864075	C₂	semidirect
11. C₂×#16864073	C₂	semidirect
12. C₂×#16864072	C₂	semidirect
13. C₂×#16864056	C₂	semidirect
14. C₂×#16864054	C₂	semidirect
15. C₂×#16864036	C₂	semidirect
16. C₂×#16864033	C₂	semidirect
17. C₂×#16863992	C₂	semidirect
18. C₂×#16863987	C₂	semidirect
19. C₂×#16863982	C₂	semidirect
20. C₂×#16863980	C₂	semidirect
21. C₂×#16863957	C₂	semidirect
22. C₂×#16863956	C₂	semidirect
23. C₂×#16863929	C₂	semidirect
24. C₂×#16863924	C₂	semidirect
25. C₂×#16863905	C₂	semidirect
26. C₂×#16863904	C₂	semidirect
27. C₂×C₂²⋊Q₈×D₆₇	C₂	semidirect
28. C₂²×#14524016	C₂	semidirect
29. C₂×#16863870	C₂	semidirect
30. C₂×#16863869	C₂	semidirect
31. C₂×C₄×D₄×D₆₇	C₂	semidirect
32. C₂×#551×C₆₇	C₂	semidirect
33. C₂²×#11761628	C₂²	semidirect
34. C₂²×#11761627	C₂²	semidirect
35. C₂²×Q₈×D₆₇	C₂²	semidirect
38. C₂³×C₂²⋊D₆₇	C₂²	semidirect
41. C₂³×C₄×D₆₇	C₂²	semidirect
42. #16864097	C₂²	semidirect
43. #16864097	C₂²	semidirect
44. #16864096	C₂²	semidirect
45. #16864091	C₂²	semidirect
46. #16864091	C₂²	semidirect
47. #16864090	C₂²	semidirect
48. #16864083	C₂²	semidirect
49. #16864079	C₂²	semidirect
50. #16864075	C₂²	semidirect
51. #16864073	C₂²	semidirect
52. #16864072	C₂²	semidirect
53. #16864056	C₂²	semidirect
54. #16864054	C₂²	semidirect
55. #16864036	C₂²	semidirect
56. #16864033	C₂²	semidirect
57. #16863992	C₂²	semidirect
58. #16863987	C₂²	semidirect
59. #16863982	C₂²	semidirect
60. #16863980	C₂²	semidirect
61. #16863957	C₂²	semidirect
62. #16863956	C₂²	semidirect
63. #16863929	C₂²	semidirect
64. #16863924	C₂²	semidirect
65. C₂×#14524038	C₂²	semidirect
66. C₂×#14524038	C₂²	semidirect
67. C₂×#14524038	C₂²	semidirect
68. C₂×#14524038	C₂²	semidirect
69. C₂×#14524037	C₂²	semidirect
70. C₂×#14524037	C₂²	semidirect
71. C₂×#14524036	C₂²	semidirect
72. C₂×#14524036	C₂²	semidirect
73. C₂×#14524036	C₂²	semidirect
74. C₂×#14524036	C₂²	semidirect
75. C₂×#14524035	C₂²	semidirect
76. C₂×#14524034	C₂²	semidirect
77. C₂×#14524033	C₂²	semidirect
78. C₂×#14524033	C₂²	semidirect
79. C₂×#14524033	C₂²	semidirect
80. C₂×#14524033	C₂²	semidirect
81. C₂×#14524032	C₂²	semidirect
82. C₂×#14524029	C₂²	semidirect
83. C₂×#14524029	C₂²	semidirect
84. C₂×#14524029	C₂²	semidirect
85. C₂×#14524029	C₂²	semidirect
86. #16863905	C₂²	semidirect
87. #16863904	C₂²	semidirect
88. C₂×#14524028	C₂²	semidirect
89. C₂×#14524028	C₂²	semidirect
90. C₂×#14524028	C₂²	semidirect
91. C₂×#14524028	C₂²	semidirect
93. C₂×#14524027	C₂²	semidirect
94. C₂×#14524027	C₂²	semidirect
96. C₂×#14524026	C₂²	semidirect
97. C₂×#14524026	C₂²	semidirect
98. C₂×#14524025	C₂²	semidirect
99. C₂×#14524025	C₂²	semidirect
100. C₂×#14524025	C₂²	semidirect
101. C₂×#14524025	C₂²	semidirect
102. C₂×#14524025	C₂²	semidirect
103. C₂×#14524025	C₂²	semidirect
105. C₂×#14524023	C₂²	semidirect
106. C₂×#14524022	C₂²	semidirect
107. C₂×#14524021	C₂²	semidirect
108. C₂×#14524021	C₂²	semidirect
109. C₂×#14524021	C₂²	semidirect
110. C₂×#14524021	C₂²	semidirect
111. C₂×#14524020	C₂²	semidirect
112. C₂×#14524020	C₂²	semidirect
113. C₂×#14524020	C₂²	semidirect
114. C₂×#14524020	C₂²	semidirect
115. C₂×#14524019	C₂²	semidirect
116. C₂×#14524019	C₂²	semidirect
117. C₂²⋊Q₈×D₆₇	C₂²	semidirect
118. C₂×#14524018	C₂²	semidirect
119. C₂×#14524018	C₂²	semidirect
120. C₂×#14524017	C₂²	semidirect
125. C₂×#14524016	C₂²	semidirect
126. C₂×#14524016	C₂²	semidirect
127. C₂×#14524016	C₂²	semidirect
128. C₂×#14524016	C₂²	semidirect
129. C₂×#14524016	C₂²	semidirect
130. C₂×#14524016	C₂²	semidirect
131. C₂×#14524016	C₂²	semidirect
132. C₂×#14524016	C₂²	semidirect
133. C₂×#14524016	C₂²	semidirect
134. C₂×#14524016	C₂²	semidirect
135. C₂×#14524016	C₂²	semidirect
136. C₂×#14524015	C₂²	semidirect
137. C₂×#14524015	C₂²	semidirect
138. C₂×#14524014	C₂²	semidirect
139. C₂×#14524014	C₂²	semidirect
140. C₂×#14524014	C₂²	semidirect
142. C₂×#14524013	C₂²	semidirect
143. C₂×#14524013	C₂²	semidirect
146. C₂×#14524011	C₂²	semidirect
147. C₂×#14524011	C₂²	semidirect
148. #16863870	C₂²	semidirect
149. #16863869	C₂²	semidirect
150. C₂×C₄×Dic₁₃₄	C₂²	semidirect
151. C₂×#14524008	C₂²	semidirect
152. C₂×C₄×D₂₆₈	C₂²	semidirect
153. C₂×C₄×D₂₆₈	C₂²	semidirect
154. C₂×C₄×D₂₆₈	C₂²	semidirect
155. C₂×C₄×D₂₆₈	C₂²	semidirect
156. C₂×C₄×D₂₆₈	C₂²	semidirect
158. C₂×#14524005	C₂²	semidirect
159. C₂×#14524005	C₂²	semidirect
160. C₂×#14524005	C₂²	semidirect
161. C₂×#14524005	C₂²	semidirect
162. C₂×#14524005	C₂²	semidirect
163. C₂×#14524005	C₂²	semidirect
165. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
166. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
167. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
168. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
169. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
170. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
171. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
173. C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	semidirect
174. C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	semidirect
175. C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	semidirect
176. C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	semidirect
177. C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	semidirect
178. C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	semidirect
179. C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	semidirect
180. C₄×D₄×D₆₇	C₂²	semidirect
181. C₂×#14524002	C₂²	semidirect
182. C₂×#14524001	C₂²	semidirect
183. C₂×#14524000	C₂²	semidirect
184. C₂×#14524000	C₂²	semidirect
185. C₂×#14523999	C₂²	semidirect
186. C₂×#14523999	C₂²	semidirect
187. C₂×#14523999	C₂²	semidirect
188. C₂×#14523999	C₂²	semidirect
189. C₂²×Dic₆₇⋊C₄	C₂²	semidirect
190. C₂×C₄⋊C₄×D₆₇	C₂²	semidirect
191. C₂×C₄⋊C₄×D₆₇	C₂²	semidirect
192. C₂×C₄⋊C₄×D₆₇	C₂²	semidirect
193. C₂×C₄⋊C₄×D₆₇	C₂²	semidirect
194. C₂²×C₂²⋊Dic₆₇	C₂²	semidirect
195. C₂²×(C₂×D₆₇)⋊C₄	C₂²	semidirect
199. C₂×C₂²⋊C₄×D₆₇	C₂²	semidirect
200. C₂×C₂²⋊C₄×D₆₇	C₂²	semidirect
201. C₂×C₂²⋊C₄×D₆₇	C₂²	semidirect
202. C₂×C₄²×D₆₇	C₂²	semidirect
203. #551×C₆₇	C₂²	semidirect
204. C₂×#126×C₆₇	C₂²	semidirect
205. C₂×#126×C₆₇	C₂²	semidirect
206. C₂×#124×C₆₇	C₂²	semidirect
208. C₂×#123×C₆₇	C₂²	semidirect
209. C₂×#123×C₆₇	C₂²	semidirect
210. C₂×C₂²⋊Q₈×C₆₇	C₂²	semidirect
211. C₂×C₂²⋊Q₈×C₆₇	C₂²	semidirect
214. C₂×C₄×D₄×C₆₇	C₂²	semidirect
215. C₂×#117×C₆₇	C₂²	semidirect
216. C₂×#117×C₆₇	C₂²	semidirect
217. C₂²×C₂²⋊C₄×C₆₇	C₂²	semidirect
218. C₂²×C₂²⋊C₄×C₆₇	C₂²	semidirect
223. C₂×#11761628	C₂³	semidirect
225. C₂×#11761627	C₂³	semidirect
230. C₂×Q₈×D₆₇	C₂³	semidirect
257. C₂²×C₂²⋊D₆₇	C₂³	semidirect
285. C₂²×C₄×D₆₇	C₂³	semidirect
286. #14524038	C₂³	semidirect
287. #14524038	C₂³	semidirect
288. #14524038	C₂³	semidirect
289. #14524038	C₂³	semidirect
290. #14524037	C₂³	semidirect
291. #14524037	C₂³	semidirect
292. #14524036	C₂³	semidirect
293. #14524036	C₂³	semidirect
294. #14524036	C₂³	semidirect
295. #14524036	C₂³	semidirect
296. #14524035	C₂³	semidirect
297. #14524034	C₂³	semidirect
298. #14524033	C₂³	semidirect
299. #14524033	C₂³	semidirect
300. #14524033	C₂³	semidirect
301. #14524033	C₂³	semidirect
302. #14524032	C₂³	semidirect
303. #14524029	C₂³	semidirect
304. #14524029	C₂³	semidirect
305. #14524029	C₂³	semidirect
306. #14524029	C₂³	semidirect
307. #14524028	C₂³	semidirect
308. #14524028	C₂³	semidirect
309. #14524028	C₂³	semidirect
310. #14524028	C₂³	semidirect
312. #14524027	C₂³	semidirect
313. #14524027	C₂³	semidirect
315. #14524026	C₂³	semidirect
316. #14524026	C₂³	semidirect
317. #14524025	C₂³	semidirect
318. #14524025	C₂³	semidirect
319. #14524025	C₂³	semidirect
320. #14524025	C₂³	semidirect
321. #14524025	C₂³	semidirect
322. #14524025	C₂³	semidirect
324. #14524023	C₂³	semidirect
325. #14524022	C₂³	semidirect
326. #14524021	C₂³	semidirect
327. #14524021	C₂³	semidirect
328. #14524021	C₂³	semidirect
329. #14524021	C₂³	semidirect
330. #14524020	C₂³	semidirect
331. #14524020	C₂³	semidirect
332. #14524020	C₂³	semidirect
333. #14524020	C₂³	semidirect
334. #14524019	C₂³	semidirect
335. #14524019	C₂³	semidirect
336. #14524018	C₂³	semidirect
337. #14524018	C₂³	semidirect
338. #14524017	C₂³	semidirect
343. #14524016	C₂³	semidirect
344. #14524016	C₂³	semidirect
345. #14524016	C₂³	semidirect
346. #14524016	C₂³	semidirect
347. #14524016	C₂³	semidirect
348. #14524016	C₂³	semidirect
349. #14524016	C₂³	semidirect
350. #14524016	C₂³	semidirect
351. #14524016	C₂³	semidirect
352. #14524016	C₂³	semidirect
353. #14524015	C₂³	semidirect
354. #14524015	C₂³	semidirect
355. #14524014	C₂³	semidirect
356. #14524014	C₂³	semidirect
357. #14524014	C₂³	semidirect
359. #14524013	C₂³	semidirect
360. #14524013	C₂³	semidirect
363. #14524011	C₂³	semidirect
364. #14524011	C₂³	semidirect
365. C₄×Dic₁₃₄	C₂³	semidirect
366. #14524008	C₂³	semidirect
367. C₄×D₂₆₈	C₂³	semidirect
368. C₄×D₂₆₈	C₂³	semidirect
369. C₄×D₂₆₈	C₂³	semidirect
370. C₄×D₂₆₈	C₂³	semidirect
371. C₄×D₂₆₈	C₂³	semidirect
373. #14524005	C₂³	semidirect
374. #14524005	C₂³	semidirect
375. #14524005	C₂³	semidirect
376. #14524005	C₂³	semidirect
377. #14524005	C₂³	semidirect
378. #14524005	C₂³	semidirect
380. C₄×C₂²⋊D₆₇	C₂³	semidirect
381. C₄×C₂²⋊D₆₇	C₂³	semidirect
382. C₄×C₂²⋊D₆₇	C₂³	semidirect
383. C₄×C₂²⋊D₆₇	C₂³	semidirect
384. C₄×C₂²⋊D₆₇	C₂³	semidirect
385. C₄×C₂²⋊D₆₇	C₂³	semidirect
386. C₄×C₂²⋊D₆₇	C₂³	semidirect
388. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
389. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
390. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
391. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
392. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
393. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
394. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
395. #14524002	C₂³	semidirect
396. #14524001	C₂³	semidirect
397. #14524000	C₂³	semidirect
398. #14524000	C₂³	semidirect
399. #14523999	C₂³	semidirect
400. #14523999	C₂³	semidirect
401. #14523999	C₂³	semidirect
402. #14523999	C₂³	semidirect
431. C₂×Dic₆₇⋊C₄	C₂³	semidirect
432. C₄⋊C₄×D₆₇	C₂³	semidirect
433. C₄⋊C₄×D₆₇	C₂³	semidirect
434. C₄⋊C₄×D₆₇	C₂³	semidirect
435. C₄⋊C₄×D₆₇	C₂³	semidirect
446. C₂×C₂²⋊Dic₆₇	C₂³	semidirect
471. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
475. C₂²⋊C₄×D₆₇	C₂³	semidirect
476. C₂²⋊C₄×D₆₇	C₂³	semidirect
477. C₂²⋊C₄×D₆₇	C₂³	semidirect
487. C₄²×D₆₇	C₂³	semidirect
498. #126×C₆₇	C₂³	semidirect
499. #126×C₆₇	C₂³	semidirect
500. #124×C₆₇	C₂³	semidirect
502. #123×C₆₇	C₂³	semidirect
503. #123×C₆₇	C₂³	semidirect
504. C₂²⋊Q₈×C₆₇	C₂³	semidirect
505. C₂²⋊Q₈×C₆₇	C₂³	semidirect
508. C₄×D₄×C₆₇	C₂³	semidirect
509. #117×C₆₇	C₂³	semidirect
510. #117×C₆₇	C₂³	semidirect
533. C₂×C₂²⋊C₄×C₆₇	C₂³	semidirect
534. C₂×C₂²⋊C₄×C₆₇	C₂³	semidirect
546. C₂³×D₆₇	#41	semidirect
847. C₂²×D₆₇	C₂×#41	semidirect
1023. C₂×C₆₇	#3505	semidirect
1044. C₂×#551	D₆₇	semidirect
1064. C₆₇	C₂×#3505	semidirect
1085. #551	C₂×D₆₇	semidirect
1108. C₂×#126	C₂×D₆₇	semidirect
1109. C₂×#126	C₂×D₆₇	semidirect
1121. C₂×#124	C₂×D₆₇	semidirect
1142. C₂×#123	C₂×D₆₇	semidirect
1143. C₂×#123	C₂×D₆₇	semidirect
1157. C₂×C₂²⋊Q₈	C₂×D₆₇	semidirect
1158. C₂×C₂²⋊Q₈	C₂×D₆₇	semidirect
1224. C₂×C₄×D₄	C₂×D₆₇	semidirect
1233. C₂×#117	C₂×D₆₇	semidirect
1234. C₂×#117	C₂×D₆₇	semidirect
1248. C₂²×C₂²⋊C₄	C₂×D₆₇	semidirect
1249. C₂²×C₂²⋊C₄	C₂×D₆₇	semidirect
1338. #126	C₂²×D₆₇	semidirect
1339. #126	C₂²×D₆₇	semidirect
1351. #124	C₂²×D₆₇	semidirect
1370. #123	C₂²×D₆₇	semidirect
1371. #123	C₂²×D₆₇	semidirect
1384. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1385. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1447. C₄×D₄	C₂²×D₆₇	semidirect
1456. #117	C₂²×D₆₇	semidirect
1457. #117	C₂²×D₆₇	semidirect
1555. C₂×C₂²⋊C₄	C₂²×D₆₇	semidirect
1556. C₂×C₂²⋊C₄	C₂²×D₆₇	semidirect
2059. C₂	#22574040	direct (N × H)

Maximal subgroups

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

subgroup	index
#22574040	2
C₂×#16864097	2
C₂×#16864096	2
C₂×#16864091	2
C₂×#16864090	2
C₂×#16864083	2
C₂×#16864079	2
C₂×#16864075	2
C₂×#16864073	2
C₂×#16864072	2
C₂×#16864056	2
C₂×#16864054	2
C₂×#16864036	2
C₂×#16864033	2
C₂×#16863992	2
C₂×#16863987	2
C₂×#16863982	2
C₂×#16863980	2
C₂×#16863957	2
C₂×#16863956	2
C₂×#16863929	2
C₂×#16863924	2
C₂×#16863905	2
C₂×#16863904	2
C₂×C₂²⋊Q₈×D₆₇	2
C₂²×#14524016	2
C₂×#16863870	2
C₂×#16863869	2
C₂×C₄×D₄×D₆₇	2
C₂×#551×C₆₇	2
C₂×#3505	67

Subgroups — C2×#22574040 #31763754

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#22574040 #31763754