Subgroups — C₂×#22574428 #31763047

Order 17152.

7962 conjugacy classes of subgroups.

The subgroup lattice has 2088 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22574428	C₂	1	32	yes	maximal, direct product factor
2	C₂×#16864143	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#16864142	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#16864141	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#16864102	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#16864100	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#16864056	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#16864054	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#16864048	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#16864044	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#16864043	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#16864039	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#16864038	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#16864038	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#16864035	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#16864035	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#16864021	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#16864021	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#16864014	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#16864010	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#16863994	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#16863989	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#16863982	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#16863980	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#16863976	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#16863975	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#16863975	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#16863973	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#16863904	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₂²⋊Q₈×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#121×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#562×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
33	C₂²×#11761629	C₂²	1	1	yes	characteristic, complemented
34	C₂²×#11761628	C₂²	1	1	yes	characteristic, complemented
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, complemented
38	C₂²×#11761627	C₂²	1	1	yes	characteristic, complemented
39	C₂²×#11761627	C₂²	1	1	yes	characteristic, complemented
40	C₂²×Q₈×D₆₇	C₂²	1	1	yes	characteristic, complemented
41	C₂²×D₄×D₆₇	C₂²	1	1	yes	characteristic
42	C₂²×D₄×D₆₇	C₂²	1	1	yes	characteristic
43	C₂²×D₄×D₆₇	C₂²	1	1	yes	characteristic
44	C₂³×C₄×D₆₇	C₂²	1	1	yes	characteristic
45	#16864143	C₂²	1	16	yes	complemented
46	#16864142	C₂²	1	16	yes	complemented
47	#16864141	C₂²	1	16	yes	complemented
48	#16864102	C₂²	1	16	yes	complemented
49	#16864100	C₂²	1	16	yes	complemented
50	#16864056	C₂²	1	16	yes	complemented
51	#16864054	C₂²	1	16	yes	complemented
52	#16864048	C₂²	1	16	yes	complemented
53	#16864044	C₂²	1	16	yes	complemented
54	#16864043	C₂²	1	16	yes	complemented
55	#16864039	C₂²	1	16	yes	complemented
56	#16864038	C₂²	1	16	yes	complemented
57	#16864038	C₂²	1	16	yes	complemented
58	#16864035	C₂²	1	16	yes	complemented
59	#16864035	C₂²	1	16	yes	complemented
60	#16864021	C₂²	1	16	yes	complemented
61	#16864021	C₂²	1	16	yes	complemented
62	#16864014	C₂²	1	16	yes	complemented
63	#16864010	C₂²	1	16	yes	complemented
64	#16863994	C₂²	1	16	yes	complemented
65	#16863989	C₂²	1	16	yes	complemented
66	#16863982	C₂²	1	16	yes	complemented
67	#16863980	C₂²	1	16	yes	complemented
68	#16863976	C₂²	1	16	yes	complemented
69	#16863975	C₂²	1	16	yes	complemented
70	#16863975	C₂²	1	16	yes	complemented
71	#16863973	C₂²	1	16	yes	complemented
72	C₂×#14524042	C₂²	1	1	yes	characteristic, complemented
73	C₂×#14524041	C₂²	1	1	yes	characteristic, complemented
74	C₂×#14524038	C₂²	1	1	yes	characteristic, complemented
75	C₂×#14524037	C₂²	1	1	yes	characteristic, complemented
76	C₂×#14524036	C₂²	1	1	yes	characteristic, complemented
77	C₂×#14524036	C₂²	1	1	yes	characteristic, complemented
78	C₂×#14524034	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×#14524030	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	C₂×#14524029	C₂²	1	1	yes	characteristic, complemented
87	C₂×#14524029	C₂²	1	1	yes	characteristic, complemented
88	C₂×#14524029	C₂²	1	1	yes	characteristic, complemented
89	#16863904	C₂²	1	16	yes	complemented
90	C₂×#14524028	C₂²	1	1	yes	characteristic, complemented
91	C₂×#14524028	C₂²	1	1	yes	characteristic, complemented
92	C₂×#14524028	C₂²	1	1	yes	characteristic, complemented
93	C₂×#14524028	C₂²	1	1	yes	characteristic, complemented
94	C₂×#14524028	C₂²	1	1	yes	characteristic, complemented
95	C₂×#14524027	C₂²	1	1	yes	characteristic, complemented
96	C₂×#14524026	C₂²	1	1	yes	characteristic, complemented
97	C₂×#14524025	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×#14524024	C₂²	1	1	yes	characteristic, complemented
103	C₂×#14524024	C₂²	1	1	yes	characteristic, complemented
104	C₂×#14524023	C₂²	1	1	yes	characteristic
105	C₂×#14524023	C₂²	1	1	yes	characteristic
106	C₂×#14524023	C₂²	1	1	yes	characteristic, complemented
107	C₂×#14524023	C₂²	1	1	yes	characteristic, complemented
108	C₂×#14524023	C₂²	1	1	yes	characteristic, complemented
109	C₂×#14524022	C₂²	1	1	yes	characteristic, complemented
110	C₂×#14524022	C₂²	1	1	yes	characteristic, complemented
111	C₂×#14524022	C₂²	1	1	yes	characteristic, complemented
112	C₂×#14524021	C₂²	1	1	yes	characteristic
113	C₂×#14524021	C₂²	1	1	yes	characteristic
114	C₂×#14524021	C₂²	1	1	yes	characteristic
115	C₂×#14524021	C₂²	1	1	yes	characteristic
116	C₂×#14524021	C₂²	1	1	yes	characteristic
117	C₂×#14524021	C₂²	1	1	yes	characteristic, complemented
118	C₂×#14524021	C₂²	1	1	yes	characteristic, complemented
119	C₂×#14524021	C₂²	1	1	yes	characteristic, complemented
120	C₂×#14524021	C₂²	1	1	yes	characteristic, complemented
121	C₂×#14524021	C₂²	1	1	yes	characteristic, complemented
122	C₂×#14524021	C₂²	1	1	yes	characteristic, complemented
123	C₂×#14524021	C₂²	1	1	yes	characteristic, complemented
124	C₂×#14524020	C₂²	1	1	yes	characteristic, complemented
125	C₂×#14524020	C₂²	1	1	yes	characteristic, complemented
126	C₂×#14524020	C₂²	1	1	yes	characteristic, complemented
127	C₂×#14524020	C₂²	1	1	yes	characteristic, complemented
128	C₂×#14524020	C₂²	1	1	yes	characteristic, complemented
129	C₂×#14524020	C₂²	1	1	yes	characteristic, complemented
130	C₂×#14524020	C₂²	1	1	yes	characteristic, complemented
131	C₂×#14524020	C₂²	1	1	yes	characteristic, complemented
132	C₂×#14524019	C₂²	1	1	yes	characteristic
133	C₂×#14524019	C₂²	1	1	yes	characteristic
134	C₂×#14524019	C₂²	1	1	yes	characteristic, complemented
135	C₂×#14524019	C₂²	1	1	yes	characteristic, complemented
136	C₂²⋊Q₈×D₆₇	C₂²	1	16	yes	complemented
137	C₂×#14524018	C₂²	1	1	yes	characteristic
138	C₂×#14524018	C₂²	1	1	yes	characteristic, complemented
139	C₂×#14524018	C₂²	1	1	yes	characteristic, complemented
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, complemented
146	C₂×#14524016	C₂²	1	1	yes	characteristic, complemented
147	C₂×#14524016	C₂²	1	1	yes	characteristic, complemented
148	C₂×#14524016	C₂²	1	1	yes	characteristic, complemented
149	C₂×#14524016	C₂²	1	1	yes	characteristic, complemented
150	C₂×#14524016	C₂²	1	1	yes	characteristic, complemented
151	C₂×#14524016	C₂²	1	1	yes	characteristic, complemented
152	C₂×#14524016	C₂²	1	1	yes	characteristic, complemented
153	C₂×#14524015	C₂²	1	1	yes	characteristic
154	C₂×#14524015	C₂²	1	1	yes	characteristic
155	C₂×#14524015	C₂²	1	1	yes	characteristic, complemented
156	C₂×#14524015	C₂²	1	1	yes	characteristic, complemented
157	C₂×#14524015	C₂²	1	1	yes	characteristic, complemented
158	C₂×#14524015	C₂²	1	1	yes	characteristic, complemented
159	C₂×#14524015	C₂²	1	1	yes	characteristic, complemented
160	C₂×#14524014	C₂²	1	1	yes	characteristic
161	C₂×#14524014	C₂²	1	1	yes	characteristic, complemented
162	C₂×#14524014	C₂²	1	1	yes	characteristic, complemented
163	C₂×#14524014	C₂²	1	1	yes	characteristic, complemented
164	C₂×#14524014	C₂²	1	1	yes	characteristic, complemented
165	#121×D₆₇	C₂²	1	16	yes	complemented
166	C₂×#14524013	C₂²	1	1	yes	characteristic
167	C₂×#14524013	C₂²	1	1	yes	characteristic
168	C₂×#14524013	C₂²	1	1	yes	characteristic
169	C₂×#14524011	C₂²	1	1	yes	characteristic
170	C₂×#14524011	C₂²	1	1	yes	characteristic
171	C₂×#14524011	C₂²	1	1	yes	characteristic
172	C₂×C₄×Dic₁₃₄	C₂²	1	1	yes	characteristic, complemented
173	C₂×#14524008	C₂²	1	1	yes	characteristic, complemented
174	C₂×C₄×D₂₆₈	C₂²	1	1	yes	characteristic
175	C₂×C₄×D₂₆₈	C₂²	1	1	yes	characteristic, complemented
176	C₂×#14524005	C₂²	1	1	yes	characteristic
177	C₂×#14524005	C₂²	1	1	yes	characteristic
178	C₂×#14524005	C₂²	1	1	yes	characteristic, complemented
179	C₂×#14524005	C₂²	1	1	yes	characteristic, complemented
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×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic
184	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic
185	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
186	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
187	C₂×(C₂²⋊D₆₇)⋊C₄	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
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	C₂×C₄⋊C₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
195	C₂²×(C₂×D₆₇)⋊C₄	C₂²	1	1	yes	characteristic
196	C₂²×(C₂×D₆₇)⋊C₄	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
200	C₂×C₂²⋊C₄×D₆₇	C₂²	1	1	yes	characteristic
201	C₂×C₂²⋊C₄×D₆₇	C₂²	1	1	yes	characteristic
202	C₂×C₂²⋊C₄×D₆₇	C₂²	1	1	yes	characteristic
203	#562×C₆₇	C₂²	1	16	yes	complemented
204	C₂×#125×C₆₇	C₂²	1	1	yes	characteristic, complemented
205	C₂×#124×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, complemented
208	C₂×#123×C₆₇	C₂²	1	1	yes	characteristic, complemented
209	C₂×#123×C₆₇	C₂²	1	1	yes	characteristic, complemented
210	C₂×#123×C₆₇	C₂²	1	1	yes	characteristic, complemented
211	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
212	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
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×#121×C₆₇	C₂²	1	1	yes	characteristic, complemented
217	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic, complemented
218	C₂×#121×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×#11761629	—	4	4	no	—
223	C₂×#11761629	C₂³	1	8	yes	complemented
224	C₂×#11761628	—	4	4	no	—
225	C₂×#11761628	—	4	4	no	—
226	C₂×#11761628	—	4	4	no	—
227	C₂×#11761628	C₂³	1	8	yes	complemented
228	C₂×#11761628	C₂³	1	8	yes	complemented
229	C₂×#11761628	C₂³	1	8	yes	complemented
230	C₂×#11761627	—	4	4	no	—
231	C₂×#11761627	—	4	4	no	—
232	C₂×#11761627	—	4	4	no	—
233	C₂×#11761627	C₂³	1	8	yes	complemented
234	C₂×#11761627	C₂³	1	8	yes	complemented
235	C₂×#11761627	C₂³	1	8	yes	complemented
236	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic
237	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic
238	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic
239	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic
240	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic
241	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic
242	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic
243	C₂×Q₈×D₆₇	—	4	4	no	—
244	C₂×Q₈×D₆₇	C₂³	1	8	yes	complemented
245	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
246	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
247	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
248	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
249	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
250	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
251	C₂²×D₂₆₈	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	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
263	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
264	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
265	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
266	C₂×D₄×D₆₇	—	4	4	no	—
267	C₂×D₄×D₆₇	—	4	4	no	—
268	C₂×D₄×D₆₇	—	4	4	no	—
269	C₂×D₄×D₆₇	C₂³	1	8	yes	—
270	C₂×D₄×D₆₇	C₂³	1	8	yes	—
271	C₂×D₄×D₆₇	C₂³	1	8	yes	—
272	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
273	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
274	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
275	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
276	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
277	C₂²×C₄×D₆₇	—	4	4	no	—
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	1	yes	characteristic
284	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
285	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
286	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
287	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
288	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
289	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
290	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
291	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
292	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
293	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
294	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
295	C₂²×C₄×D₆₇	C₂³	1	8	yes	—
296	#14524042	C₂³	1	8	yes	complemented
297	#14524041	C₂³	1	8	yes	complemented
298	#14524038	C₂³	1	8	yes	complemented
299	#14524037	C₂³	1	8	yes	complemented
300	#14524036	C₂³	1	8	yes	complemented
301	#14524036	C₂³	1	8	yes	complemented
302	#14524034	C₂³	1	8	yes	complemented
303	#14524033	C₂³	1	8	yes	complemented
304	#14524033	C₂³	1	8	yes	complemented
305	#14524032	C₂³	1	8	yes	complemented
306	#14524030	C₂³	1	8	yes	complemented
307	#14524029	C₂³	1	8	yes	complemented
308	#14524029	C₂³	1	8	yes	complemented
309	#14524029	C₂³	1	8	yes	complemented
310	#14524029	C₂³	1	8	yes	complemented
311	#14524029	C₂³	1	8	yes	complemented
312	#14524029	C₂³	1	8	yes	complemented
313	#14524028	C₂³	1	8	yes	complemented
314	#14524028	C₂³	1	8	yes	complemented
315	#14524028	C₂³	1	8	yes	complemented
316	#14524028	C₂³	1	8	yes	complemented
317	#14524028	C₂³	1	8	yes	complemented
318	#14524027	C₂³	1	8	yes	complemented
319	#14524026	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	#14524025	C₂³	1	8	yes	complemented
324	#14524025	C₂³	1	8	yes	complemented
325	#14524024	C₂³	1	8	yes	complemented
326	#14524024	C₂³	1	8	yes	complemented
327	#14524023	C₂³	1	8	yes	—
328	#14524023	C₂³	1	8	yes	—
329	#14524023	C₂³	1	8	yes	complemented
330	#14524023	C₂³	1	8	yes	complemented
331	#14524023	C₂³	1	8	yes	complemented
332	#14524022	C₂³	1	8	yes	complemented
333	#14524022	C₂³	1	8	yes	complemented
334	#14524022	C₂³	1	8	yes	complemented
335	#14524021	C₂³	1	8	yes	—
336	#14524021	C₂³	1	8	yes	—
337	#14524021	C₂³	1	8	yes	—
338	#14524021	C₂³	1	8	yes	—
339	#14524021	C₂³	1	8	yes	—
340	#14524021	C₂³	1	8	yes	complemented
341	#14524021	C₂³	1	8	yes	complemented
342	#14524021	C₂³	1	8	yes	complemented
343	#14524021	C₂³	1	8	yes	complemented
344	#14524021	C₂³	1	8	yes	complemented
345	#14524021	C₂³	1	8	yes	complemented
346	#14524021	C₂³	1	8	yes	complemented
347	#14524020	C₂³	1	8	yes	complemented
348	#14524020	C₂³	1	8	yes	complemented
349	#14524020	C₂³	1	8	yes	complemented
350	#14524020	C₂³	1	8	yes	complemented
351	#14524020	C₂³	1	8	yes	complemented
352	#14524020	C₂³	1	8	yes	complemented
353	#14524020	C₂³	1	8	yes	complemented
354	#14524020	C₂³	1	8	yes	complemented
355	#14524019	C₂³	1	8	yes	—
356	#14524019	C₂³	1	8	yes	—
357	#14524019	C₂³	1	8	yes	complemented
358	#14524019	C₂³	1	8	yes	complemented
359	#14524018	C₂³	1	8	yes	—
360	#14524018	C₂³	1	8	yes	complemented
361	#14524018	C₂³	1	8	yes	complemented
362	#14524017	C₂³	1	8	yes	—
363	#14524017	C₂³	1	8	yes	complemented
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	#14524016	C₂³	1	8	yes	complemented
373	#14524016	C₂³	1	8	yes	complemented
374	#14524016	C₂³	1	8	yes	complemented
375	#14524015	C₂³	1	8	yes	—
376	#14524015	C₂³	1	8	yes	—
377	#14524015	C₂³	1	8	yes	complemented
378	#14524015	C₂³	1	8	yes	complemented
379	#14524015	C₂³	1	8	yes	complemented
380	#14524015	C₂³	1	8	yes	complemented
381	#14524015	C₂³	1	8	yes	complemented
382	#14524014	C₂³	1	8	yes	—
383	#14524014	C₂³	1	8	yes	complemented
384	#14524014	C₂³	1	8	yes	complemented
385	#14524014	C₂³	1	8	yes	complemented
386	#14524014	C₂³	1	8	yes	complemented
387	#14524013	C₂³	1	8	yes	—
388	#14524013	C₂³	1	8	yes	—
389	#14524013	C₂³	1	8	yes	—
390	#14524011	C₂³	1	8	yes	—
391	#14524011	C₂³	1	8	yes	—
392	#14524011	C₂³	1	8	yes	—
393	C₄×Dic₁₃₄	C₂³	1	8	yes	complemented
394	#14524008	C₂³	1	8	yes	complemented
395	C₄×D₂₆₈	C₂³	1	8	yes	—
396	C₄×D₂₆₈	C₂³	1	8	yes	complemented
397	#14524005	C₂³	1	8	yes	—
398	#14524005	C₂³	1	8	yes	—
399	#14524005	C₂³	1	8	yes	complemented
400	#14524005	C₂³	1	8	yes	complemented
401	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	—
402	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	complemented
403	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	complemented
404	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	—
405	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	—
406	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	complemented
407	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	complemented
408	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	complemented
409	#14523999	C₂³	1	8	yes	complemented
410	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
411	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
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×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
419	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
420	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
421	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
422	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
423	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
424	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
425	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
426	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
427	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
428	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
429	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
430	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
431	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
432	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
433	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
434	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	8	yes	complemented
439	C₄⋊C₄×D₆₇	C₂³	1	8	yes	—
440	C₄⋊C₄×D₆₇	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	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
445	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
446	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
447	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
448	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
449	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
450	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
451	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
452	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
453	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
454	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	8	yes	—
455	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	8	yes	—
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×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
478	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
479	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
480	C₂²⋊C₄×D₆₇	C₂³	1	8	yes	—
481	C₂²⋊C₄×D₆₇	C₂³	1	8	yes	—
482	C₂²⋊C₄×D₆₇	C₂³	1	8	yes	—
483	C₂²⋊C₄×D₆₇	C₂³	1	8	yes	—
484	C₂²⋊C₄×D₆₇	C₂³	1	8	yes	—
485	C₂²⋊C₄×D₆₇	C₂³	1	8	yes	—
486	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
487	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
488	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
489	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
490	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
491	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic
492	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic
493	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
494	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
495	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
496	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
497	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
498	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
499	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
500	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
501	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
502	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
503	#125×C₆₇	C₂³	1	8	yes	complemented
504	#124×C₆₇	C₂³	1	8	yes	complemented
505	#124×C₆₇	C₂³	1	8	yes	complemented
506	#123×C₆₇	C₂³	1	8	yes	complemented
507	#123×C₆₇	C₂³	1	8	yes	complemented
508	#123×C₆₇	C₂³	1	8	yes	complemented
509	#123×C₆₇	C₂³	1	8	yes	complemented
510	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	complemented
511	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	complemented
512	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	complemented
513	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	complemented
514	#121×C₆₇	C₂³	1	8	yes	—
515	#121×C₆₇	C₂³	1	8	yes	complemented
516	#121×C₆₇	C₂³	1	8	yes	complemented
517	#121×C₆₇	C₂³	1	8	yes	complemented
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	1	yes	characteristic
523	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
524	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
525	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
526	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
527	C₂×C₄⋊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	1	yes	characteristic
534	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
535	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
536	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
537	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
538	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
539	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
540	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
541	C₂³×D₆₇	—	2	4	no	—
542	C₂³×D₆₇	—	2	4	no	—
543	C₂³×D₆₇	—	2	4	no	—
544	C₂³×D₆₇	—	2	4	no	—
545	C₂³×D₆₇	—	4	2	no	—
546	C₂³×D₆₇	—	4	2	no	—
547	C₂³×D₆₇	—	4	2	no	—
548	C₂³×D₆₇	—	4	2	no	—
549	C₂³×D₆₇	—	4	2	no	—
550	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
551	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
552	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
553	C₂³×D₆₇	C₂⁴	1	4	yes	—
554	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
555	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
556	C₂³×D₆₇	C₂⁴	1	4	yes	—
557	C₂³×D₆₇	C₂⁴	1	4	yes	—
558	#11761629	—	4	16	no	—
559	#11761628	—	4	16	no	—
560	#11761628	—	4	16	no	—
561	#11761628	—	4	16	no	—
562	#11761627	—	4	16	no	—
563	#11761627	—	4	16	no	—
564	#11761627	—	4	16	no	—
565	C₂×Dic₁₃₄	—	2	4	no	—
566	C₂×Dic₁₃₄	—	2	4	no	—
567	C₂×Dic₁₃₄	—	4	2	no	—
568	C₂×Dic₁₃₄	—	4	2	no	—
569	C₂×Dic₁₃₄	—	4	2	no	—
570	C₂×Dic₁₃₄	—	4	2	no	—
571	C₂×Dic₁₃₄	—	4	2	no	—
572	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
573	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
574	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
575	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
576	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
577	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
578	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
579	Q₈×D₆₇	—	4	16	no	—
580	C₂×D₂₆₈	—	2	4	no	—
581	C₂×D₂₆₈	—	2	4	no	—
582	C₂×D₂₆₈	—	2	4	no	—
583	C₂×D₂₆₈	—	2	4	no	—
584	C₂×D₂₆₈	—	4	2	no	—
585	C₂×D₂₆₈	—	4	2	no	—
586	C₂×D₂₆₈	—	4	2	no	—
587	C₂×D₂₆₈	C₂⁴	1	4	yes	—
588	C₂×D₂₆₈	C₂⁴	1	4	yes	—
589	C₂×D₂₆₈	C₂⁴	1	4	yes	—
590	C₂×D₂₆₈	C₂⁴	1	4	yes	—
591	C₂×D₂₆₈	C₂⁴	1	4	yes	—
592	C₂×D₂₆₈	C₂⁴	1	4	yes	—
593	C₂×D₂₆₈	C₂⁴	1	4	yes	—
594	C₂×C₂²⋊D₆₇	—	2	4	no	—
595	C₂×C₂²⋊D₆₇	—	2	4	no	—
596	C₂×C₂²⋊D₆₇	—	2	4	no	—
597	C₂×C₂²⋊D₆₇	—	2	4	no	—
598	C₂×C₂²⋊D₆₇	—	2	4	no	—
599	C₂×C₂²⋊D₆₇	—	2	4	no	—
600	C₂×C₂²⋊D₆₇	—	4	2	no	—
601	C₂×C₂²⋊D₆₇	—	4	2	no	—
602	C₂×C₂²⋊D₆₇	—	4	2	no	—
603	C₂×C₂²⋊D₆₇	—	4	2	no	—
604	C₂×C₂²⋊D₆₇	—	4	2	no	—
605	C₂×C₂²⋊D₆₇	—	4	2	no	—
606	C₂×C₂²⋊D₆₇	—	4	2	no	—
607	C₂×C₂²⋊D₆₇	—	4	2	no	—
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	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
615	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
616	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
617	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
618	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
619	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
620	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
621	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
622	D₄×D₆₇	—	4	16	no	—
623	D₄×D₆₇	—	4	16	no	—
624	D₄×D₆₇	—	4	16	no	—
625	C₂²×Dic₆₇	—	2	4	no	—
626	C₂²×Dic₆₇	—	2	4	no	—
627	C₂²×Dic₆₇	—	4	2	no	—
628	C₂²×Dic₆₇	—	4	2	no	—
629	C₂²×Dic₆₇	—	4	2	no	—
630	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
631	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
632	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
633	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
634	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
635	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
636	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
637	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
638	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
639	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
640	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
641	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
642	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
643	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
644	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
645	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
646	C₂×C₄×D₆₇	—	2	4	no	—
647	C₂×C₄×D₆₇	—	2	4	no	—
648	C₂×C₄×D₆₇	—	2	4	no	—
649	C₂×C₄×D₆₇	—	2	4	no	—
650	C₂×C₄×D₆₇	—	2	4	no	—
651	C₂×C₄×D₆₇	—	4	16	no	—
652	C₂×C₄×D₆₇	—	4	2	no	—
653	C₂×C₄×D₆₇	—	4	2	no	—
654	C₂×C₄×D₆₇	—	4	2	no	—
655	C₂×C₄×D₆₇	—	4	2	no	—
656	C₂×C₄×D₆₇	—	4	2	no	—
657	C₂×C₄×D₆₇	—	4	2	no	—
658	C₂×C₄×D₆₇	—	4	2	no	—
659	C₂×C₄×D₆₇	—	4	2	no	—
660	C₂×C₄×D₆₇	—	4	2	no	—
661	C₂×C₄×D₆₇	—	4	2	no	—
662	C₂×C₄×D₆₇	—	4	2	no	—
663	C₂×C₄×D₆₇	—	4	2	no	—
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	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
668	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
669	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
670	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
671	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
672	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
673	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
674	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
675	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
676	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
677	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
678	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
679	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
680	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
681	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
682	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
683	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
684	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
685	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
686	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
687	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
688	C₄⋊Dic₆₇	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	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
696	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
697	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
698	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
699	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
700	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
701	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
702	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
703	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
704	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
705	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
706	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
707	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
708	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
709	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
710	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
711	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
712	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
713	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
714	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
715	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
716	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
717	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
718	C₂²⋊Dic₆₇	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	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
730	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
731	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
732	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
733	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
734	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
735	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
736	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
737	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
738	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
739	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
740	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
741	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
742	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
743	C₄×Dic₆₇	C₂⁴	1	4	yes	—
744	C₄×Dic₆₇	C₂⁴	1	4	yes	—
745	C₄×Dic₆₇	C₂⁴	1	4	yes	—
746	C₄×Dic₆₇	C₂⁴	1	4	yes	—
747	C₄×Dic₆₇	C₂⁴	1	4	yes	—
748	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
749	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
750	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
751	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
752	C₂×Q₈×C₆₇	—	4	2	no	—
753	C₂×Q₈×C₆₇	—	4	2	no	—
754	C₂×Q₈×C₆₇	C₂⁴	1	4	yes	—
755	C₂×Q₈×C₆₇	C₂⁴	1	4	yes	—
756	C₂×D₄×C₆₇	—	4	2	no	—
757	C₂×D₄×C₆₇	—	4	2	no	—
758	C₂×D₄×C₆₇	—	4	2	no	—
759	C₂×D₄×C₆₇	—	4	2	no	—
760	C₂×D₄×C₆₇	—	4	2	no	—
761	C₂×D₄×C₆₇	—	4	2	no	—
762	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
763	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
764	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
765	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
766	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
767	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
768	C₂²×C₄×C₆₇	—	4	2	no	—
769	C₂²×C₄×C₆₇	—	4	2	no	—
770	C₂²×C₄×C₆₇	—	4	2	no	—
771	C₂²×C₄×C₆₇	—	4	2	no	—
772	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
773	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
774	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
775	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
776	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
777	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
778	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
779	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
780	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
781	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
782	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
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	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
788	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
789	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
790	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
791	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
792	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
793	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
794	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
795	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
796	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
797	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
798	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
799	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
800	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
801	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
802	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
803	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
804	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
805	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
806	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
807	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
808	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
809	C₄²×C₆₇	C₂⁴	1	4	yes	—
810	C₂³×C₆₇	—	2	2	no	—
811	C₂³×C₆₇	—	2	2	no	—
812	C₂³×C₆₇	—	2	2	no	—
813	C₂³×C₆₇	—	2	2	no	—
814	C₂³×C₆₇	—	2	2	no	—
815	C₂³×C₆₇	—	2	2	no	—
816	C₂³×C₆₇	—	2	2	no	—
817	C₂³×C₆₇	—	2	2	no	—
818	C₂³×C₆₇	—	2	2	no	—
819	C₂³×C₆₇	—	2	2	no	—
820	C₂³×C₆₇	—	2	2	no	—
821	C₂³×C₆₇	—	2	2	no	—
822	C₂³×C₆₇	C₂⁵	1	2	yes	—
823	C₂³×C₆₇	C₂⁵	1	2	yes	—
824	C₂³×C₆₇	C₂⁵	1	2	yes	—
825	C₂³×C₆₇	C₂⁵	1	2	yes	—
826	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
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	2	no	—
835	C₂²×D₆₇	—	2	2	no	—
836	C₂²×D₆₇	—	2	2	no	—
837	C₂²×D₆₇	—	2	2	no	—
838	C₂²×D₆₇	—	2	2	no	—
839	C₂²×D₆₇	—	2	2	no	—
840	C₂²×D₆₇	—	2	8	no	—
841	C₂²×D₆₇	—	2	8	no	—
842	C₂²×D₆₇	—	2	8	no	—
843	C₂²×D₆₇	—	2	8	no	—
844	C₂²×D₆₇	—	4	4	no	—
845	C₂²×D₆₇	—	4	16	no	—
846	C₂²×D₆₇	—	4	4	no	—
847	C₂²×D₆₇	—	4	4	no	—
848	C₂²×D₆₇	—	4	4	no	—
849	C₂²×D₆₇	—	4	4	no	—
850	C₂²×D₆₇	—	8	8	no	—
851	C₂²×D₆₇	—	8	8	no	—
852	C₂²×D₆₇	H(5,𝔽₂)	1	4	yes	—
853	C₂²×D₆₇	2₋¹⁺⁴	1	4	yes	—
854	C₂²×D₆₇	C₂⁵	1	2	yes	—
855	C₂²×D₆₇	C₂⁵	1	2	yes	—
856	C₂²×D₆₇	C₂⁵	1	2	yes	—
857	C₂²×D₆₇	C₂⁵	1	2	yes	—
858	C₂²×D₆₇	C₂⁵	1	2	yes	—
859	Q₈×C₆₇	—	4	4	no	—
860	Q₈×C₆₇	—	4	4	no	—
861	D₄×C₆₇	—	4	4	no	—
862	D₄×C₆₇	—	4	4	no	—
863	D₄×C₆₇	—	4	4	no	—
864	D₄×C₆₇	—	4	4	no	—
865	D₄×C₆₇	—	4	4	no	—
866	D₄×C₆₇	—	4	4	no	—
867	C₂×C₄×C₆₇	—	2	2	no	—
868	C₂×C₄×C₆₇	—	2	2	no	—
869	C₂×C₄×C₆₇	—	2	2	no	—
870	C₂×C₄×C₆₇	—	2	2	no	—
871	C₂×C₄×C₆₇	—	2	2	no	—
872	C₂×C₄×C₆₇	—	2	2	no	—
873	C₂×C₄×C₆₇	—	2	2	no	—
874	C₂×C₄×C₆₇	—	2	2	no	—
875	C₂×C₄×C₆₇	—	2	2	no	—
876	C₂×C₄×C₆₇	—	2	2	no	—
877	C₂×C₄×C₆₇	—	2	2	no	—
878	C₂×C₄×C₆₇	—	4	4	no	—
879	C₂×C₄×C₆₇	—	4	4	no	—
880	C₂×C₄×C₆₇	—	4	4	no	—
881	C₂×C₄×C₆₇	—	4	4	no	—
882	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
883	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
884	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
885	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
886	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
887	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
888	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
889	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
890	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
891	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
892	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
893	C₂²⋊D₆₇	—	2	8	no	—
894	C₂²⋊D₆₇	—	2	8	no	—
895	C₂²⋊D₆₇	—	2	8	no	—
896	C₂²⋊D₆₇	—	2	8	no	—
897	C₂²⋊D₆₇	—	2	8	no	—
898	C₂²⋊D₆₇	—	2	8	no	—
899	C₂²⋊D₆₇	—	4	4	no	—
900	C₂²⋊D₆₇	—	4	4	no	—
901	C₂²⋊D₆₇	—	4	4	no	—
902	C₂²⋊D₆₇	—	4	4	no	—
903	C₂²⋊D₆₇	—	4	4	no	—
904	C₂²⋊D₆₇	—	4	4	no	—
905	C₂²⋊D₆₇	—	4	4	no	—
906	C₂²⋊D₆₇	—	4	4	no	—
907	C₂×Dic₆₇	—	2	2	no	—
908	C₂×Dic₆₇	—	2	2	no	—
909	C₂×Dic₆₇	—	2	2	no	—
910	C₂×Dic₆₇	—	2	2	no	—
911	C₂×Dic₆₇	—	2	2	no	—
912	C₂×Dic₆₇	—	2	2	no	—
913	C₂×Dic₆₇	—	2	2	no	—
914	C₂×Dic₆₇	—	2	2	no	—
915	C₂×Dic₆₇	—	2	2	no	—
916	C₂×Dic₆₇	—	2	2	no	—
917	C₂×Dic₆₇	—	2	8	no	—
918	C₂×Dic₆₇	—	2	8	no	—
919	C₂×Dic₆₇	—	4	4	no	—
920	C₂×Dic₆₇	—	4	4	no	—
921	C₂×Dic₆₇	—	4	4	no	—
922	C₂×Dic₆₇	H(5,𝔽₂)	1	4	yes	—
923	C₂×Dic₆₇	C₂⁵	1	2	yes	—
924	C₂×Dic₆₇	C₂⁵	1	2	yes	—
925	C₂×Dic₆₇	C₂⁵	1	2	yes	—
926	C₂×Dic₆₇	C₂⁵	1	2	yes	—
927	C₂×Dic₆₇	C₂⁵	1	2	yes	—
928	C₂×Dic₆₇	C₂⁵	1	2	yes	—
929	C₂×Dic₆₇	C₂⁵	1	2	yes	—
930	C₂×Dic₆₇	C₂⁵	1	2	yes	—
931	C₂×Dic₆₇	C₂⁵	1	2	yes	—
932	C₂×Dic₆₇	C₂⁵	1	2	yes	—
933	C₂×Dic₆₇	C₂⁵	1	2	yes	—
934	D₂₆₈	—	2	8	no	—
935	D₂₆₈	—	2	8	no	—
936	D₂₆₈	—	2	8	no	—
937	D₂₆₈	—	2	8	no	—
938	D₂₆₈	—	4	4	no	—
939	D₂₆₈	—	4	4	no	—
940	D₂₆₈	—	4	4	no	—
941	C₄×D₆₇	—	2	8	no	—
942	C₄×D₆₇	—	2	8	no	—
943	C₄×D₆₇	—	2	8	no	—
944	C₄×D₆₇	—	2	8	no	—
945	C₄×D₆₇	—	2	8	no	—
946	C₄×D₆₇	—	4	4	no	—
947	C₄×D₆₇	—	4	4	no	—
948	C₄×D₆₇	—	4	4	no	—
949	C₄×D₆₇	—	4	4	no	—
950	C₄×D₆₇	—	4	4	no	—
951	C₄×D₆₇	—	4	4	no	—
952	C₄×D₆₇	—	4	4	no	—
953	C₄×D₆₇	—	4	4	no	—
954	C₄×D₆₇	—	4	4	no	—
955	C₄×D₆₇	—	4	4	no	—
956	C₄×D₆₇	—	4	4	no	—
957	C₄×D₆₇	—	4	4	no	—
958	Dic₁₃₄	—	2	8	no	—
959	Dic₁₃₄	—	2	8	no	—
960	Dic₁₃₄	—	4	4	no	—
961	Dic₁₃₄	—	4	4	no	—
962	Dic₁₃₄	—	4	4	no	—
963	Dic₁₃₄	—	4	4	no	—
964	Dic₁₃₄	—	4	4	no	—
965	C₂²×C₆₇	—	2	2	no	—
966	C₂²×C₆₇	—	2	2	no	—
967	C₂²×C₆₇	—	2	2	no	—
968	C₂²×C₆₇	—	2	2	no	—
969	C₂²×C₆₇	—	2	2	no	—
970	C₂²×C₆₇	—	2	2	no	—
971	C₂²×C₆₇	—	2	2	no	—
972	C₂²×C₆₇	—	2	2	no	—
973	C₂²×C₆₇	—	2	2	no	—
974	C₂²×C₆₇	—	2	2	no	—
975	C₂²×C₆₇	—	2	2	no	—
976	C₂²×C₆₇	—	2	2	no	—
977	C₂²×C₆₇	—	4	4	no	—
978	C₂²×C₆₇	—	4	4	no	—
979	C₂²×C₆₇	—	4	4	no	—
980	C₂²×C₆₇	—	4	4	no	—
981	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
982	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
983	C₂²×C₆₇	C₂×2₋¹⁺⁴	1	2	yes	—
984	C₂²×C₆₇	C₂⁶	1	1	yes	characteristic
985	C₂×D₆₇	—	2	2	no	—
986	C₂×D₆₇	—	2	2	no	—
987	C₂×D₆₇	—	2	2	no	—
988	C₂×D₆₇	—	2	2	no	—
989	C₂×D₆₇	—	2	8	no	—
990	C₂×D₆₇	—	2	8	no	—
991	C₂×D₆₇	—	2	2	no	—
992	C₂×D₆₇	—	2	2	no	—
993	C₂×D₆₇	—	2	2	no	—
994	C₂×D₆₇	—	2	2	no	—
995	C₂×D₆₇	—	2	2	no	—
996	C₂×D₆₇	—	2	2	no	—
997	C₂×D₆₇	—	2	2	no	—
998	C₂×D₆₇	—	2	2	no	—
999	C₂×D₆₇	—	2	2	no	—
1000	C₂×D₆₇	—	4	16	no	—
1001	C₂×D₆₇	—	4	4	no	—
1002	C₂×D₆₇	—	4	4	no	—
1003	C₂×D₆₇	—	4	4	no	—
1004	C₂×D₆₇	—	8	8	no	—
1005	C₂×D₆₇	—	8	8	no	—
1006	C₂×D₆₇	C₂×H(5,𝔽₂)	1	4	yes	—
1007	C₂×D₆₇	C₂×2₋¹⁺⁴	1	4	yes	—
1008	C₄×C₆₇	—	2	2	no	—
1009	C₄×C₆₇	—	2	2	no	—
1010	C₄×C₆₇	—	2	2	no	—
1011	C₄×C₆₇	—	2	2	no	—
1012	C₄×C₆₇	—	2	2	no	—
1013	C₄×C₆₇	—	2	2	no	—
1014	C₄×C₆₇	—	2	2	no	—
1015	C₄×C₆₇	—	2	2	no	—
1016	C₄×C₆₇	—	2	2	no	—
1017	C₄×C₆₇	—	2	2	no	—
1018	C₄×C₆₇	—	2	2	no	—
1019	Dic₆₇	—	2	2	no	—
1020	Dic₆₇	—	2	2	no	—
1021	Dic₆₇	—	2	2	no	—
1022	Dic₆₇	—	2	2	no	—
1023	Dic₆₇	—	2	2	no	—
1024	Dic₆₇	—	2	2	no	—
1025	Dic₆₇	—	2	2	no	—
1026	Dic₆₇	—	2	2	no	—
1027	Dic₆₇	—	2	2	no	—
1028	Dic₆₇	—	2	2	no	—
1029	Dic₆₇	C₂×H(5,𝔽₂)	1	4	yes	—
1030	C₂×#3536	—	67	1	no	maximal, Sylow
1031	C₂×C₆₇	—	4	2	no	—
1032	C₂×C₆₇	—	4	2	no	—
1033	C₂×C₆₇	—	4	2	no	—
1034	C₂×C₆₇	—	4	2	no	—
1035	C₂×C₆₇	#3536	1	4	yes	complemented
1036	C₂×C₆₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1037	C₂×C₆₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1038	C₂×C₆₇	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1039	D₆₇	—	2	4	no	—
1040	D₆₇	—	2	4	no	—
1041	D₆₇	—	4	2	no	—
1042	D₆₇	—	4	2	no	—
1043	D₆₇	—	4	2	no	—
1044	#3536	—	67	32	no	—
1045	C₂×#562	—	67	1	no	—
1046	C₂×#562	—	67	1	no	—
1047	C₂×#562	—	67	1	no	—
1048	C₂×#562	D₆₇	1	1	yes	characteristic, complemented
1049	C₂×#554	—	67	1	no	—
1050	C₂×#554	—	67	1	no	—
1051	C₂×#548	—	67	1	no	—
1052	C₂×#548	—	67	1	no	—
1053	C₂×#547	—	67	1	no	—
1054	C₂×#547	—	67	1	no	—
1055	C₂×#546	—	67	1	no	—
1056	C₂×#546	—	67	1	no	—
1057	C₂×#546	—	67	1	no	—
1058	C₂×#546	—	67	1	no	—
1059	C₂×#546	—	67	1	no	—
1060	C₂×#546	—	67	1	no	—
1061	C₂×#543	—	67	1	no	—
1062	C₂×#543	—	67	1	no	—
1063	C₂×#542	—	67	1	no	—
1064	C₂×#542	—	67	1	no	—
1065	C₂×#539	—	67	1	no	—
1066	C₂×#539	—	67	1	no	—
1067	C₂×#538	—	67	1	no	—
1068	C₂×#538	—	67	1	no	—
1069	C₂×#537	—	67	1	no	—
1070	C₂×#537	—	67	1	no	—
1071	C₂×#537	—	67	1	no	—
1072	C₂×#537	—	67	1	no	—
1073	C₂×#525	—	67	1	no	—
1074	C₂²×C₂²⋊Q₈	—	67	1	no	—
1075	C₂²×#121	—	67	1	no	—
1076	C₆₇	C₂×#3536	1	1	yes	characteristic, complemented, Sylow
1077	C₂²×#41	—	67	1	no	—
1078	C₂²×#41	—	67	1	no	—
1079	C₂²×#41	—	67	1	no	—
1080	C₂²×#41	—	67	1	no	—
1081	C₂²×#41	—	67	1	no	—
1082	C₂²×#41	—	67	1	no	—
1083	C₂²×#41	—	67	1	no	—
1084	C₂³×Q₈	—	67	1	no	—
1085	C₂³×D₄	—	67	1	no	—
1086	C₂³×D₄	—	67	1	no	—
1087	C₂³×D₄	—	67	1	no	—
1088	C₂⁴×C₄	—	67	1	no	—
1089	#562	—	67	16	no	—
1090	#562	—	67	16	no	—
1091	#562	—	67	16	no	—
1092	#562	C₂×D₆₇	1	16	yes	complemented
1093	#554	—	67	16	no	—
1094	#554	—	67	16	no	—
1095	#548	—	67	16	no	—
1096	#548	—	67	16	no	—
1097	#547	—	67	16	no	—
1098	#547	—	67	16	no	—
1099	#546	—	67	16	no	—
1100	#546	—	67	16	no	—
1101	#546	—	67	16	no	—
1102	#546	—	67	16	no	—
1103	#546	—	67	16	no	—
1104	#546	—	67	16	no	—
1105	#543	—	67	16	no	—
1106	#543	—	67	16	no	—
1107	#542	—	67	16	no	—
1108	#542	—	67	16	no	—
1109	#539	—	67	16	no	—
1110	#539	—	67	16	no	—
1111	#538	—	67	16	no	—
1112	#538	—	67	16	no	—
1113	#537	—	67	16	no	—
1114	#537	—	67	16	no	—
1115	#537	—	67	16	no	—
1116	#537	—	67	16	no	—
1117	C₂×C₄⋊Q₈	—	67	1	no	—
1118	C₂×C₄⋊Q₈	—	67	1	no	—
1119	C₂×#126	—	67	1	no	—
1120	C₂×#126	—	67	1	no	—
1121	C₂×#126	—	67	1	no	—
1122	C₂×#126	—	67	1	no	—
1123	C₂×#125	—	67	1	no	—
1124	C₂×#125	—	67	1	no	—
1125	C₂×#125	—	67	1	no	—
1126	C₂×#125	C₂×D₆₇	1	1	yes	characteristic, complemented
1127	C₂×#124	—	67	1	no	—
1128	C₂×#124	—	67	1	no	—
1129	C₂×#124	—	67	1	no	—
1130	C₂×#124	—	67	1	no	—
1131	C₂×#124	—	67	1	no	—
1132	C₂×#124	—	67	1	no	—
1133	C₂×#124	—	67	1	no	—
1134	C₂×#124	—	67	1	no	—
1135	C₂×#124	C₂×D₆₇	1	1	yes	characteristic, complemented
1136	C₂×#124	C₂×D₆₇	1	1	yes	characteristic, complemented
1137	#525	—	67	16	no	—
1138	C₂×#123	—	67	1	no	—
1139	C₂×#123	—	67	1	no	—
1140	C₂×#123	—	67	1	no	—
1141	C₂×#123	—	67	1	no	—
1142	C₂×#123	—	67	1	no	—
1143	C₂×#123	—	67	1	no	—
1144	C₂×#123	—	67	1	no	—
1145	C₂×#123	—	67	1	no	—
1146	C₂×#123	—	67	1	no	—
1147	C₂×#123	—	67	1	no	—
1148	C₂×#123	—	67	1	no	—
1149	C₂×#123	—	67	1	no	—
1150	C₂×#123	—	67	1	no	—
1151	C₂×#123	—	67	1	no	—
1152	C₂×#123	C₂×D₆₇	1	1	yes	characteristic, complemented
1153	C₂×#123	C₂×D₆₇	1	1	yes	characteristic, complemented
1154	C₂×#123	C₂×D₆₇	1	1	yes	characteristic, complemented
1155	C₂×#123	C₂×D₆₇	1	1	yes	characteristic, complemented
1156	C₂×C₂²⋊Q₈	—	67	1	no	—
1157	C₂×C₂²⋊Q₈	—	67	1	no	—
1158	C₂×C₂²⋊Q₈	—	67	1	no	—
1159	C₂×C₂²⋊Q₈	—	67	1	no	—
1160	C₂×C₂²⋊Q₈	—	67	1	no	—
1161	C₂×C₂²⋊Q₈	—	67	1	no	—
1162	C₂×C₂²⋊Q₈	—	67	1	no	—
1163	C₂×C₂²⋊Q₈	—	67	16	no	—
1164	C₂×C₂²⋊Q₈	—	67	1	no	—
1165	C₂×C₂²⋊Q₈	—	67	1	no	—
1166	C₂×C₂²⋊Q₈	—	67	1	no	—
1167	C₂×C₂²⋊Q₈	—	67	1	no	—
1168	C₂×C₂²⋊Q₈	—	67	1	no	—
1169	C₂×C₂²⋊Q₈	—	67	1	no	—
1170	C₂×C₂²⋊Q₈	—	67	1	no	—
1171	C₂×C₂²⋊Q₈	—	67	1	no	—
1172	C₂×C₂²⋊Q₈	—	67	1	no	—
1173	C₂×C₂²⋊Q₈	—	67	1	no	—
1174	C₂×C₂²⋊Q₈	—	67	1	no	—
1175	C₂×C₂²⋊Q₈	—	67	1	no	—
1176	C₂×C₂²⋊Q₈	—	67	1	no	—
1177	C₂×C₂²⋊Q₈	—	67	1	no	—
1178	C₂×C₂²⋊Q₈	—	67	1	no	—
1179	C₂×C₂²⋊Q₈	—	67	1	no	—
1180	C₂×C₂²⋊Q₈	—	67	1	no	—
1181	C₂×C₂²⋊Q₈	—	67	1	no	—
1182	C₂×C₂²⋊Q₈	—	67	1	no	—
1183	C₂×C₂²⋊Q₈	—	67	1	no	—
1184	C₂×C₂²⋊Q₈	—	67	1	no	—
1185	C₂×C₂²⋊Q₈	—	67	1	no	—
1186	C₂×C₂²⋊Q₈	—	67	1	no	—
1187	C₂×C₂²⋊Q₈	—	67	1	no	—
1188	C₂×C₂²⋊Q₈	—	67	1	no	—
1189	C₂×C₂²⋊Q₈	C₂×D₆₇	1	1	yes	characteristic, complemented
1190	C₂×C₂²⋊Q₈	C₂×D₆₇	1	1	yes	characteristic, complemented
1191	C₂×C₂²⋊Q₈	C₂×D₆₇	1	1	yes	characteristic, complemented
1192	C₂×C₂²⋊Q₈	C₂×D₆₇	1	1	yes	characteristic, complemented
1193	C₂×#121	—	67	1	no	—
1194	C₂×#121	—	67	1	no	—
1195	C₂×#121	—	67	1	no	—
1196	C₂×#121	—	67	1	no	—
1197	C₂×#121	—	67	1	no	—
1198	C₂×#121	—	67	1	no	—
1199	C₂×#121	—	67	1	no	—
1200	C₂×#121	—	67	1	no	—
1201	C₂×#121	—	67	1	no	—
1202	C₂×#121	—	67	1	no	—
1203	C₂×#121	—	67	1	no	—
1204	C₂×#121	—	67	1	no	—
1205	C₂×#121	—	67	1	no	—
1206	C₂×#121	—	67	1	no	—
1207	C₂×#121	—	67	16	no	—
1208	C₂×#121	—	67	1	no	—
1209	C₂×#121	—	67	1	no	—
1210	C₂×#121	—	67	1	no	—
1211	C₂×#121	—	67	1	no	—
1212	C₂×#121	—	67	1	no	—
1213	C₂×#121	—	67	1	no	—
1214	C₂×#121	—	67	1	no	—
1215	C₂×#121	—	67	1	no	—
1216	C₂×#121	—	67	1	no	—
1217	C₂×#121	—	67	1	no	—
1218	C₂×#121	—	67	1	no	—
1219	C₂×#121	—	67	1	no	—
1220	C₂×#121	—	67	1	no	—
1221	C₂×#121	—	67	1	no	—
1222	C₂×#121	C₂×D₆₇	1	1	yes	characteristic
1223	C₂×#121	C₂×D₆₇	1	1	yes	characteristic, complemented
1224	C₂×#121	C₂×D₆₇	1	1	yes	characteristic, complemented
1225	C₂×#121	C₂×D₆₇	1	1	yes	characteristic, complemented
1226	C₂×#120	—	67	1	no	—
1227	C₂×#120	—	67	1	no	—
1228	C₂×#120	—	67	1	no	—
1229	C₂×#120	—	67	1	no	—
1230	C₂×#120	—	67	1	no	—
1231	C₂×#120	—	67	1	no	—
1232	C₂×C₄×Q₈	—	67	1	no	—
1233	C₂×C₄×Q₈	—	67	1	no	—
1234	C₂×C₄×D₄	—	67	1	no	—
1235	C₂×C₄×D₄	—	67	1	no	—
1236	C₂×C₄×D₄	—	67	1	no	—
1237	C₂×C₄×D₄	—	67	1	no	—
1238	C₂×C₄×D₄	—	67	1	no	—
1239	C₂×C₄×D₄	—	67	1	no	—
1240	C₂×C₄×D₄	—	67	1	no	—
1241	C₂×C₄×D₄	—	67	1	no	—
1242	C₂×C₄×D₄	—	67	1	no	—
1243	C₂×C₄×D₄	—	67	1	no	—
1244	C₂×C₄×D₄	—	67	1	no	—
1245	C₂×C₄×D₄	—	67	1	no	—
1246	C₂×C₄×D₄	—	67	1	no	—
1247	C₂×C₄×D₄	—	67	1	no	—
1248	C₂×#117	—	67	1	no	—
1249	C₂²×C₄⋊C₄	—	67	1	no	—
1250	C₂²×C₄⋊C₄	—	67	1	no	—
1251	C₂²×C₄⋊C₄	—	67	1	no	—
1252	C₂²×C₄⋊C₄	—	67	1	no	—
1253	C₂²×C₄⋊C₄	—	67	1	no	—
1254	C₂²×C₄⋊C₄	—	67	1	no	—
1255	C₂²×C₂²⋊C₄	—	67	1	no	—
1256	C₂²×C₂²⋊C₄	—	67	1	no	—
1257	C₂²×C₂²⋊C₄	—	67	1	no	—
1258	C₂²×C₂²⋊C₄	—	67	1	no	—
1259	C₂²×C₂²⋊C₄	—	67	1	no	—
1260	C₂²×C₂²⋊C₄	—	67	1	no	—
1261	C₂²×C₂²⋊C₄	—	67	1	no	—
1262	C₂²×C₂²⋊C₄	—	67	1	no	—
1263	C₂⁵	—	67	1	no	—
1264	C₂⁵	—	67	1	no	—
1265	C₂⁵	—	67	1	no	—
1266	C₂×#41	—	268	4	no	—
1267	C₂×#41	—	268	4	no	—
1268	C₂×#41	—	268	4	no	—
1269	C₂×#41	—	268	4	no	—
1270	C₂×#41	—	268	4	no	—
1271	C₂×#41	—	268	4	no	—
1272	C₂×#41	—	268	4	no	—
1273	C₂×#41	—	67	8	no	—
1274	C₂×#41	—	67	8	no	—
1275	C₂×#41	—	67	8	no	—
1276	C₂×#41	—	67	8	no	—
1277	C₂×#41	—	67	8	no	—
1278	C₂×#41	—	67	8	no	—
1279	C₂×#41	—	67	8	no	—
1280	C₂²×Q₈	—	268	4	no	—
1281	C₂²×Q₈	—	67	8	no	—
1282	C₂²×Q₈	—	67	1	no	—
1283	C₂²×Q₈	—	67	1	no	—
1284	C₂²×Q₈	—	67	1	no	—
1285	C₂²×Q₈	—	67	1	no	—
1286	C₂²×Q₈	—	67	1	no	—
1287	C₂²×Q₈	—	67	1	no	—
1288	C₂²×Q₈	—	67	1	no	—
1289	C₂²×Q₈	C₂²×D₆₇	1	1	yes	characteristic
1290	C₂²×Q₈	C₂²×D₆₇	1	1	yes	characteristic
1291	C₂²×D₄	—	268	4	no	—
1292	C₂²×D₄	—	268	4	no	—
1293	C₂²×D₄	—	268	4	no	—
1294	C₂²×D₄	—	67	1	no	—
1295	C₂²×D₄	—	67	1	no	—
1296	C₂²×D₄	—	67	1	no	—
1297	C₂²×D₄	—	67	1	no	—
1298	C₂²×D₄	—	67	1	no	—
1299	C₂²×D₄	—	67	1	no	—
1300	C₂²×D₄	—	67	1	no	—
1301	C₂²×D₄	—	67	1	no	—
1302	C₂²×D₄	—	67	8	no	—
1303	C₂²×D₄	—	67	8	no	—
1304	C₂²×D₄	—	67	8	no	—
1305	C₂²×D₄	—	67	1	no	—
1306	C₂²×D₄	—	67	1	no	—
1307	C₂²×D₄	—	67	1	no	—
1308	C₂²×D₄	—	67	1	no	—
1309	C₂²×D₄	—	67	1	no	—
1310	C₂²×D₄	—	67	1	no	—
1311	C₂²×D₄	—	67	1	no	—
1312	C₂²×D₄	—	67	1	no	—
1313	C₂²×D₄	—	67	1	no	—
1314	C₂²×D₄	—	67	1	no	—
1315	C₂²×D₄	—	67	1	no	—
1316	C₂²×D₄	—	67	1	no	—
1317	C₂²×D₄	—	67	1	no	—
1318	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1319	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1320	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1321	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1322	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1323	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1324	C₂³×C₄	—	268	4	no	—
1325	C₂³×C₄	—	67	1	no	—
1326	C₂³×C₄	—	67	1	no	—
1327	C₂³×C₄	—	67	1	no	—
1328	C₂³×C₄	—	67	1	no	—
1329	C₂³×C₄	—	67	1	no	—
1330	C₂³×C₄	—	67	1	no	—
1331	C₂³×C₄	—	67	1	no	—
1332	C₂³×C₄	—	67	1	no	—
1333	C₂³×C₄	—	67	1	no	—
1334	C₂³×C₄	—	67	1	no	—
1335	C₂³×C₄	—	67	1	no	—
1336	C₂³×C₄	—	67	1	no	—
1337	C₂³×C₄	—	67	1	no	—
1338	C₂³×C₄	—	67	1	no	—
1339	C₂³×C₄	—	67	1	no	—
1340	C₂³×C₄	—	67	8	no	—
1341	C₂³×C₄	—	67	1	no	—
1342	C₂³×C₄	—	67	1	no	—
1343	C₂³×C₄	—	67	1	no	—
1344	C₂³×C₄	—	67	1	no	—
1345	C₂³×C₄	—	67	1	no	—
1346	C₂³×C₄	—	67	1	no	—
1347	C₂³×C₄	—	67	1	no	—
1348	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1349	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1350	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1351	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1352	C₄⋊Q₈	—	67	8	no	—
1353	C₄⋊Q₈	—	67	8	no	—
1354	#126	—	67	8	no	—
1355	#126	—	67	8	no	—
1356	#126	—	67	8	no	—
1357	#126	—	67	8	no	—
1358	#125	—	67	8	no	—
1359	#125	—	67	8	no	—
1360	#125	—	67	8	no	—
1361	#125	C₂²×D₆₇	1	8	yes	complemented
1362	#124	—	67	8	no	—
1363	#124	—	67	8	no	—
1364	#124	—	67	8	no	—
1365	#124	—	67	8	no	—
1366	#124	—	67	8	no	—
1367	#124	—	67	8	no	—
1368	#124	—	67	8	no	—
1369	#124	—	67	8	no	—
1370	#124	C₂²×D₆₇	1	8	yes	complemented
1371	#124	C₂²×D₆₇	1	8	yes	complemented
1372	#123	—	67	8	no	—
1373	#123	—	67	8	no	—
1374	#123	—	67	8	no	—
1375	#123	—	67	8	no	—
1376	#123	—	67	8	no	—
1377	#123	—	67	8	no	—
1378	#123	—	67	8	no	—
1379	#123	—	67	8	no	—
1380	#123	—	67	8	no	—
1381	#123	—	67	8	no	—
1382	#123	—	67	8	no	—
1383	#123	—	67	8	no	—
1384	#123	—	67	8	no	—
1385	#123	—	67	8	no	—
1386	#123	C₂²×D₆₇	1	8	yes	complemented
1387	#123	C₂²×D₆₇	1	8	yes	complemented
1388	#123	C₂²×D₆₇	1	8	yes	complemented
1389	#123	C₂²×D₆₇	1	8	yes	complemented
1390	C₂²⋊Q₈	—	67	8	no	—
1391	C₂²⋊Q₈	—	67	8	no	—
1392	C₂²⋊Q₈	—	67	8	no	—
1393	C₂²⋊Q₈	—	67	8	no	—
1394	C₂²⋊Q₈	—	67	8	no	—
1395	C₂²⋊Q₈	—	67	8	no	—
1396	C₂²⋊Q₈	—	67	8	no	—
1397	C₂²⋊Q₈	—	67	8	no	—
1398	C₂²⋊Q₈	—	67	8	no	—
1399	C₂²⋊Q₈	—	67	8	no	—
1400	C₂²⋊Q₈	—	67	8	no	—
1401	C₂²⋊Q₈	—	67	8	no	—
1402	C₂²⋊Q₈	—	67	8	no	—
1403	C₂²⋊Q₈	—	67	8	no	—
1404	C₂²⋊Q₈	—	67	8	no	—
1405	C₂²⋊Q₈	—	67	8	no	—
1406	C₂²⋊Q₈	—	67	8	no	—
1407	C₂²⋊Q₈	—	67	8	no	—
1408	C₂²⋊Q₈	—	67	8	no	—
1409	C₂²⋊Q₈	—	67	8	no	—
1410	C₂²⋊Q₈	—	67	8	no	—
1411	C₂²⋊Q₈	—	67	8	no	—
1412	C₂²⋊Q₈	—	67	8	no	—
1413	C₂²⋊Q₈	—	67	8	no	—
1414	C₂²⋊Q₈	—	67	8	no	—
1415	C₂²⋊Q₈	—	67	8	no	—
1416	C₂²⋊Q₈	—	67	8	no	—
1417	C₂²⋊Q₈	—	67	8	no	—
1418	C₂²⋊Q₈	—	67	8	no	—
1419	C₂²⋊Q₈	—	67	8	no	—
1420	C₂²⋊Q₈	—	67	8	no	—
1421	C₂²⋊Q₈	—	67	8	no	—
1422	C₂²⋊Q₈	C₂²×D₆₇	1	8	yes	complemented
1423	C₂²⋊Q₈	C₂²×D₆₇	1	8	yes	complemented
1424	C₂²⋊Q₈	C₂²×D₆₇	1	8	yes	complemented
1425	C₂²⋊Q₈	C₂²×D₆₇	1	8	yes	complemented
1426	#121	—	67	8	no	—
1427	#121	—	67	8	no	—
1428	#121	—	67	8	no	—
1429	#121	—	67	8	no	—
1430	#121	—	67	8	no	—
1431	#121	—	67	8	no	—
1432	#121	—	67	8	no	—
1433	#121	—	67	8	no	—
1434	#121	—	67	8	no	—
1435	#121	—	67	8	no	—
1436	#121	—	67	8	no	—
1437	#121	—	67	8	no	—
1438	#121	—	67	8	no	—
1439	#121	—	67	8	no	—
1440	#121	—	67	8	no	—
1441	#121	—	67	8	no	—
1442	#121	—	67	8	no	—
1443	#121	—	67	8	no	—
1444	#121	—	67	8	no	—
1445	#121	—	67	8	no	—
1446	#121	—	67	8	no	—
1447	#121	—	67	8	no	—
1448	#121	—	67	8	no	—
1449	#121	—	67	8	no	—
1450	#121	—	67	8	no	—
1451	#121	—	67	8	no	—
1452	#121	—	67	8	no	—
1453	#121	—	67	8	no	—
1454	#121	C₂²×D₆₇	1	8	yes	—
1455	#121	C₂²×D₆₇	1	8	yes	complemented
1456	#121	C₂²×D₆₇	1	8	yes	complemented
1457	#121	C₂²×D₆₇	1	8	yes	complemented
1458	#120	—	67	8	no	—
1459	#120	—	67	8	no	—
1460	#120	—	67	8	no	—
1461	#120	—	67	8	no	—
1462	#120	—	67	8	no	—
1463	#120	—	67	8	no	—
1464	C₄×Q₈	—	67	8	no	—
1465	C₄×Q₈	—	67	8	no	—
1466	C₄×D₄	—	67	8	no	—
1467	C₄×D₄	—	67	8	no	—
1468	C₄×D₄	—	67	8	no	—
1469	C₄×D₄	—	67	8	no	—
1470	C₄×D₄	—	67	8	no	—
1471	C₄×D₄	—	67	8	no	—
1472	C₄×D₄	—	67	8	no	—
1473	C₄×D₄	—	67	8	no	—
1474	C₄×D₄	—	67	8	no	—
1475	C₄×D₄	—	67	8	no	—
1476	C₄×D₄	—	67	8	no	—
1477	C₄×D₄	—	67	8	no	—
1478	C₄×D₄	—	67	8	no	—
1479	C₄×D₄	—	67	8	no	—
1480	#117	—	67	8	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	1	no	—
1488	C₂×C₄⋊C₄	—	67	1	no	—
1489	C₂×C₄⋊C₄	—	67	1	no	—
1490	C₂×C₄⋊C₄	—	67	1	no	—
1491	C₂×C₄⋊C₄	—	67	1	no	—
1492	C₂×C₄⋊C₄	—	67	1	no	—
1493	C₂×C₄⋊C₄	—	67	1	no	—
1494	C₂×C₄⋊C₄	—	67	1	no	—
1495	C₂×C₄⋊C₄	—	67	1	no	—
1496	C₂×C₄⋊C₄	—	67	8	no	—
1497	C₂×C₄⋊C₄	—	67	1	no	—
1498	C₂×C₄⋊C₄	—	67	1	no	—
1499	C₂×C₄⋊C₄	—	67	1	no	—
1500	C₂×C₄⋊C₄	—	67	1	no	—
1501	C₂×C₄⋊C₄	—	67	1	no	—
1502	C₂×C₄⋊C₄	—	67	1	no	—
1503	C₂×C₄⋊C₄	—	67	1	no	—
1504	C₂×C₄⋊C₄	—	67	1	no	—
1505	C₂×C₄⋊C₄	—	67	1	no	—
1506	C₂×C₄⋊C₄	—	67	1	no	—
1507	C₂×C₄⋊C₄	—	67	1	no	—
1508	C₂×C₄⋊C₄	—	67	1	no	—
1509	C₂×C₄⋊C₄	—	67	1	no	—
1510	C₂×C₄⋊C₄	—	67	8	no	—
1511	C₂×C₄⋊C₄	—	67	8	no	—
1512	C₂×C₄⋊C₄	—	67	8	no	—
1513	C₂×C₄⋊C₄	—	67	8	no	—
1514	C₂×C₄⋊C₄	—	67	8	no	—
1515	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1516	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1517	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1518	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1519	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1520	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1521	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1522	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1523	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1524	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1525	C₂×C₂²⋊C₄	—	67	1	no	—
1526	C₂×C₂²⋊C₄	—	67	1	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	1	no	—
1536	C₂×C₂²⋊C₄	—	67	1	no	—
1537	C₂×C₂²⋊C₄	—	67	1	no	—
1538	C₂×C₂²⋊C₄	—	67	1	no	—
1539	C₂×C₂²⋊C₄	—	67	1	no	—
1540	C₂×C₂²⋊C₄	—	67	1	no	—
1541	C₂×C₂²⋊C₄	—	67	1	no	—
1542	C₂×C₂²⋊C₄	—	67	1	no	—
1543	C₂×C₂²⋊C₄	—	67	1	no	—
1544	C₂×C₂²⋊C₄	—	67	1	no	—
1545	C₂×C₂²⋊C₄	—	67	1	no	—
1546	C₂×C₂²⋊C₄	—	67	1	no	—
1547	C₂×C₂²⋊C₄	—	67	1	no	—
1548	C₂×C₂²⋊C₄	—	67	1	no	—
1549	C₂×C₂²⋊C₄	—	67	8	no	—
1550	C₂×C₂²⋊C₄	—	67	8	no	—
1551	C₂×C₂²⋊C₄	—	67	1	no	—
1552	C₂×C₂²⋊C₄	—	67	1	no	—
1553	C₂×C₂²⋊C₄	—	67	1	no	—
1554	C₂×C₂²⋊C₄	—	67	1	no	—
1555	C₂×C₂²⋊C₄	—	67	1	no	—
1556	C₂×C₂²⋊C₄	—	67	1	no	—
1557	C₂×C₂²⋊C₄	—	67	1	no	—
1558	C₂×C₂²⋊C₄	—	67	1	no	—
1559	C₂×C₂²⋊C₄	—	67	1	no	—
1560	C₂×C₂²⋊C₄	—	67	1	no	—
1561	C₂×C₂²⋊C₄	—	67	8	no	—
1562	C₂×C₂²⋊C₄	—	67	8	no	—
1563	C₂×C₂²⋊C₄	—	67	8	no	—
1564	C₂×C₂²⋊C₄	—	67	8	no	—
1565	C₂×C₂²⋊C₄	—	67	8	no	—
1566	C₂×C₂²⋊C₄	—	67	8	no	—
1567	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1568	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1569	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1570	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1571	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1572	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1573	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1574	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1575	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1576	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1577	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1578	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1579	C₂×C₄²	—	67	1	no	—
1580	C₂×C₄²	—	67	1	no	—
1581	C₂×C₄²	—	67	1	no	—
1582	C₂×C₄²	—	67	1	no	—
1583	C₂×C₄²	—	67	1	no	—
1584	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
1585	C₂⁴	—	268	2	no	—
1586	C₂⁴	—	268	2	no	—
1587	C₂⁴	—	268	2	no	—
1588	C₂⁴	—	268	2	no	—
1589	C₂⁴	—	268	2	no	—
1590	C₂⁴	—	67	4	no	—
1591	C₂⁴	—	67	4	no	—
1592	C₂⁴	—	67	4	no	—
1593	C₂⁴	—	67	1	no	—
1594	C₂⁴	—	67	1	no	—
1595	C₂⁴	—	67	1	no	—
1596	C₂⁴	—	67	1	no	—
1597	C₂⁴	—	67	1	no	—
1598	C₂⁴	—	134	4	no	—
1599	C₂⁴	—	134	4	no	—
1600	C₂⁴	—	134	4	no	—
1601	C₂⁴	—	134	4	no	—
1602	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1603	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1604	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1605	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1606	#41	—	268	16	no	—
1607	#41	—	268	16	no	—
1608	#41	—	268	16	no	—
1609	#41	—	268	16	no	—
1610	#41	—	268	16	no	—
1611	#41	—	268	16	no	—
1612	#41	—	268	16	no	—
1613	C₂×Q₈	—	4	2	no	—
1614	C₂×Q₈	—	4	2	no	—
1615	C₂×Q₈	—	268	2	no	—
1616	C₂×Q₈	—	268	2	no	—
1617	C₂×Q₈	—	268	2	no	—
1618	C₂×Q₈	—	268	2	no	—
1619	C₂×Q₈	—	268	2	no	—
1620	C₂×Q₈	—	268	16	no	—
1621	C₂×Q₈	—	67	4	no	—
1622	C₂×Q₈	—	67	4	no	—
1623	C₂×Q₈	—	67	4	no	—
1624	C₂×Q₈	—	67	4	no	—
1625	C₂×Q₈	—	67	4	no	—
1626	C₂×Q₈	—	67	4	no	—
1627	C₂×Q₈	—	67	4	no	—
1628	C₂×Q₈	—	134	4	no	—
1629	C₂×Q₈	—	134	4	no	—
1630	C₂×Q₈	C₂³×D₆₇	1	4	yes	—
1631	C₂×Q₈	C₂³×D₆₇	1	4	yes	—
1632	C₂×D₄	—	4	2	no	—
1633	C₂×D₄	—	4	2	no	—
1634	C₂×D₄	—	4	2	no	—
1635	C₂×D₄	—	4	2	no	—
1636	C₂×D₄	—	4	2	no	—
1637	C₂×D₄	—	4	2	no	—
1638	C₂×D₄	—	268	2	no	—
1639	C₂×D₄	—	268	2	no	—
1640	C₂×D₄	—	268	2	no	—
1641	C₂×D₄	—	268	16	no	—
1642	C₂×D₄	—	268	16	no	—
1643	C₂×D₄	—	268	16	no	—
1644	C₂×D₄	—	268	2	no	—
1645	C₂×D₄	—	268	2	no	—
1646	C₂×D₄	—	268	2	no	—
1647	C₂×D₄	—	268	2	no	—
1648	C₂×D₄	—	268	2	no	—
1649	C₂×D₄	—	268	2	no	—
1650	C₂×D₄	—	268	2	no	—
1651	C₂×D₄	—	268	2	no	—
1652	C₂×D₄	—	67	4	no	—
1653	C₂×D₄	—	67	4	no	—
1654	C₂×D₄	—	67	4	no	—
1655	C₂×D₄	—	67	4	no	—
1656	C₂×D₄	—	67	4	no	—
1657	C₂×D₄	—	67	4	no	—
1658	C₂×D₄	—	67	4	no	—
1659	C₂×D₄	—	67	4	no	—
1660	C₂×D₄	—	67	4	no	—
1661	C₂×D₄	—	67	4	no	—
1662	C₂×D₄	—	67	4	no	—
1663	C₂×D₄	—	67	4	no	—
1664	C₂×D₄	—	67	4	no	—
1665	C₂×D₄	—	67	4	no	—
1666	C₂×D₄	—	67	4	no	—
1667	C₂×D₄	—	67	4	no	—
1668	C₂×D₄	—	67	4	no	—
1669	C₂×D₄	—	67	4	no	—
1670	C₂×D₄	—	67	4	no	—
1671	C₂×D₄	—	67	4	no	—
1672	C₂×D₄	—	67	4	no	—
1673	C₂×D₄	—	134	4	no	—
1674	C₂×D₄	—	134	4	no	—
1675	C₂×D₄	—	134	4	no	—
1676	C₂×D₄	—	134	4	no	—
1677	C₂×D₄	—	134	4	no	—
1678	C₂×D₄	—	134	4	no	—
1679	C₂×D₄	—	134	4	no	—
1680	C₂×D₄	—	134	4	no	—
1681	C₂×D₄	—	134	4	no	—
1682	C₂×D₄	—	134	4	no	—
1683	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1684	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1685	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1686	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1687	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1688	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1689	C₂²×C₄	—	4	2	no	—
1690	C₂²×C₄	—	4	2	no	—
1691	C₂²×C₄	—	4	2	no	—
1692	C₂²×C₄	—	4	2	no	—
1693	C₂²×C₄	—	268	2	no	—
1694	C₂²×C₄	—	268	2	no	—
1695	C₂²×C₄	—	268	2	no	—
1696	C₂²×C₄	—	268	2	no	—
1697	C₂²×C₄	—	268	2	no	—
1698	C₂²×C₄	—	268	2	no	—
1699	C₂²×C₄	—	268	2	no	—
1700	C₂²×C₄	—	268	2	no	—
1701	C₂²×C₄	—	268	2	no	—
1702	C₂²×C₄	—	268	2	no	—
1703	C₂²×C₄	—	268	2	no	—
1704	C₂²×C₄	—	268	2	no	—
1705	C₂²×C₄	—	268	16	no	—
1706	C₂²×C₄	—	268	2	no	—
1707	C₂²×C₄	—	268	2	no	—
1708	C₂²×C₄	—	268	2	no	—
1709	C₂²×C₄	—	67	4	no	—
1710	C₂²×C₄	—	67	4	no	—
1711	C₂²×C₄	—	67	4	no	—
1712	C₂²×C₄	—	67	4	no	—
1713	C₂²×C₄	—	67	4	no	—
1714	C₂²×C₄	—	67	4	no	—
1715	C₂²×C₄	—	67	4	no	—
1716	C₂²×C₄	—	67	4	no	—
1717	C₂²×C₄	—	67	4	no	—
1718	C₂²×C₄	—	67	4	no	—
1719	C₂²×C₄	—	67	4	no	—
1720	C₂²×C₄	—	67	4	no	—
1721	C₂²×C₄	—	67	4	no	—
1722	C₂²×C₄	—	67	4	no	—
1723	C₂²×C₄	—	67	4	no	—
1724	C₂²×C₄	—	67	1	no	—
1725	C₂²×C₄	—	67	4	no	—
1726	C₂²×C₄	—	67	4	no	—
1727	C₂²×C₄	—	67	1	no	—
1728	C₂²×C₄	—	67	1	no	—
1729	C₂²×C₄	—	67	1	no	—
1730	C₂²×C₄	—	67	1	no	—
1731	C₂²×C₄	—	67	1	no	—
1732	C₂²×C₄	—	67	1	no	—
1733	C₂²×C₄	—	67	1	no	—
1734	C₂²×C₄	—	67	1	no	—
1735	C₂²×C₄	—	67	1	no	—
1736	C₂²×C₄	—	67	1	no	—
1737	C₂²×C₄	—	67	4	no	—
1738	C₂²×C₄	—	67	4	no	—
1739	C₂²×C₄	—	67	4	no	—
1740	C₂²×C₄	—	67	4	no	—
1741	C₂²×C₄	—	67	4	no	—
1742	C₂²×C₄	—	134	4	no	—
1743	C₂²×C₄	—	134	4	no	—
1744	C₂²×C₄	—	134	4	no	—
1745	C₂²×C₄	—	134	4	no	—
1746	C₂²×C₄	—	134	4	no	—
1747	C₂²×C₄	—	134	4	no	—
1748	C₂²×C₄	—	134	4	no	—
1749	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1750	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1751	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1752	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1753	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1754	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1755	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1756	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1757	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1758	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1759	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1760	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1761	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1762	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1763	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1764	C₄⋊C₄	—	67	4	no	—
1765	C₄⋊C₄	—	67	4	no	—
1766	C₄⋊C₄	—	67	4	no	—
1767	C₄⋊C₄	—	67	4	no	—
1768	C₄⋊C₄	—	67	4	no	—
1769	C₄⋊C₄	—	67	4	no	—
1770	C₄⋊C₄	—	67	4	no	—
1771	C₄⋊C₄	—	67	4	no	—
1772	C₄⋊C₄	—	67	4	no	—
1773	C₄⋊C₄	—	67	4	no	—
1774	C₄⋊C₄	—	67	4	no	—
1775	C₄⋊C₄	—	67	4	no	—
1776	C₄⋊C₄	—	67	4	no	—
1777	C₄⋊C₄	—	67	4	no	—
1778	C₄⋊C₄	—	67	4	no	—
1779	C₄⋊C₄	—	67	4	no	—
1780	C₄⋊C₄	—	67	4	no	—
1781	C₄⋊C₄	—	67	4	no	—
1782	C₄⋊C₄	—	67	4	no	—
1783	C₄⋊C₄	—	67	4	no	—
1784	C₄⋊C₄	—	67	4	no	—
1785	C₄⋊C₄	—	67	4	no	—
1786	C₄⋊C₄	—	67	4	no	—
1787	C₄⋊C₄	—	67	4	no	—
1788	C₄⋊C₄	—	67	4	no	—
1789	C₄⋊C₄	—	67	4	no	—
1790	C₄⋊C₄	—	67	4	no	—
1791	C₄⋊C₄	—	67	4	no	—
1792	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1793	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1794	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1795	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1796	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1797	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1798	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1799	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1800	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1801	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
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	—	67	4	no	—
1807	C₂²⋊C₄	—	67	4	no	—
1808	C₂²⋊C₄	—	67	4	no	—
1809	C₂²⋊C₄	—	67	4	no	—
1810	C₂²⋊C₄	—	67	4	no	—
1811	C₂²⋊C₄	—	67	4	no	—
1812	C₂²⋊C₄	—	67	4	no	—
1813	C₂²⋊C₄	—	67	4	no	—
1814	C₂²⋊C₄	—	67	4	no	—
1815	C₂²⋊C₄	—	67	4	no	—
1816	C₂²⋊C₄	—	67	4	no	—
1817	C₂²⋊C₄	—	67	4	no	—
1818	C₂²⋊C₄	—	67	4	no	—
1819	C₂²⋊C₄	—	67	4	no	—
1820	C₂²⋊C₄	—	67	4	no	—
1821	C₂²⋊C₄	—	67	4	no	—
1822	C₂²⋊C₄	—	67	4	no	—
1823	C₂²⋊C₄	—	67	4	no	—
1824	C₂²⋊C₄	—	67	4	no	—
1825	C₂²⋊C₄	—	67	4	no	—
1826	C₂²⋊C₄	—	67	4	no	—
1827	C₂²⋊C₄	—	67	4	no	—
1828	C₂²⋊C₄	—	67	4	no	—
1829	C₂²⋊C₄	—	67	4	no	—
1830	C₂²⋊C₄	—	67	4	no	—
1831	C₂²⋊C₄	—	67	4	no	—
1832	C₂²⋊C₄	—	67	4	no	—
1833	C₂²⋊C₄	—	67	4	no	—
1834	C₂²⋊C₄	—	67	4	no	—
1835	C₂²⋊C₄	—	67	4	no	—
1836	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1837	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1838	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1839	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1840	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1841	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1842	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1843	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1844	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1845	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1846	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1847	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1848	C₄²	—	67	4	no	—
1849	C₄²	—	67	4	no	—
1850	C₄²	—	67	4	no	—
1851	C₄²	—	67	4	no	—
1852	C₄²	—	67	4	no	—
1853	C₄²	C₂³×D₆₇	1	4	yes	—
1854	C₂³	—	2	2	no	—
1855	C₂³	—	2	2	no	—
1856	C₂³	—	2	2	no	—
1857	C₂³	—	2	2	no	—
1858	C₂³	—	2	2	no	—
1859	C₂³	—	2	2	no	—
1860	C₂³	—	2	2	no	—
1861	C₂³	—	2	2	no	—
1862	C₂³	—	2	2	no	—
1863	C₂³	—	2	2	no	—
1864	C₂³	—	2	2	no	—
1865	C₂³	—	2	2	no	—
1866	C₂³	—	268	4	no	—
1867	C₂³	—	268	4	no	—
1868	C₂³	—	268	4	no	—
1869	C₂³	—	268	4	no	—
1870	C₂³	—	268	4	no	—
1871	C₂³	—	268	16	no	—
1872	C₂³	—	536	8	no	—
1873	C₂³	—	536	8	no	—
1874	C₂³	—	67	4	no	—
1875	C₂³	—	67	4	no	—
1876	C₂³	—	67	2	no	—
1877	C₂³	—	67	2	no	—
1878	C₂³	—	67	2	no	—
1879	C₂³	—	67	2	no	—
1880	C₂³	—	67	2	no	—
1881	C₂³	—	134	8	no	—
1882	C₂³	—	134	8	no	—
1883	C₂³	—	134	8	no	—
1884	C₂³	—	134	8	no	—
1885	C₂³	—	134	2	no	—
1886	C₂³	—	134	2	no	—
1887	C₂³	—	134	2	no	—
1888	C₂³	—	134	2	no	—
1889	C₂³	—	134	2	no	—
1890	C₂³	—	134	2	no	—
1891	C₂³	—	134	2	no	—
1892	C₂³	—	134	2	no	—
1893	C₂³	—	134	2	no	—
1894	C₂³	—	134	2	no	—
1895	C₂³	—	134	2	no	—
1896	C₂³	—	134	2	no	—
1897	C₂³	—	134	2	no	—
1898	C₂³	C₂⁴×D₆₇	1	2	yes	—
1899	C₂³	C₂⁴×D₆₇	1	2	yes	—
1900	C₂³	C₂⁴×D₆₇	1	2	yes	—
1901	C₂³	C₂⁴×D₆₇	1	2	yes	—
1902	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
1903	Q₈	—	4	4	no	—
1904	Q₈	—	4	4	no	—
1905	Q₈	—	268	4	no	—
1906	Q₈	—	268	4	no	—
1907	Q₈	—	268	4	no	—
1908	Q₈	—	268	4	no	—
1909	Q₈	—	268	4	no	—
1910	Q₈	—	134	8	no	—
1911	Q₈	—	134	8	no	—
1912	D₄	—	4	4	no	—
1913	D₄	—	4	4	no	—
1914	D₄	—	4	4	no	—
1915	D₄	—	4	4	no	—
1916	D₄	—	4	4	no	—
1917	D₄	—	4	4	no	—
1918	D₄	—	268	4	no	—
1919	D₄	—	268	4	no	—
1920	D₄	—	268	4	no	—
1921	D₄	—	268	4	no	—
1922	D₄	—	268	4	no	—
1923	D₄	—	268	4	no	—
1924	D₄	—	268	4	no	—
1925	D₄	—	268	4	no	—
1926	D₄	—	268	4	no	—
1927	D₄	—	268	4	no	—
1928	D₄	—	268	4	no	—
1929	D₄	—	134	8	no	—
1930	D₄	—	134	8	no	—
1931	D₄	—	134	8	no	—
1932	D₄	—	134	8	no	—
1933	D₄	—	134	8	no	—
1934	D₄	—	134	8	no	—
1935	D₄	—	134	8	no	—
1936	D₄	—	134	8	no	—
1937	D₄	—	134	8	no	—
1938	D₄	—	134	8	no	—
1939	C₂×C₄	—	2	2	no	—
1940	C₂×C₄	—	2	2	no	—
1941	C₂×C₄	—	2	2	no	—
1942	C₂×C₄	—	2	2	no	—
1943	C₂×C₄	—	2	2	no	—
1944	C₂×C₄	—	2	2	no	—
1945	C₂×C₄	—	2	2	no	—
1946	C₂×C₄	—	2	2	no	—
1947	C₂×C₄	—	2	2	no	—
1948	C₂×C₄	—	2	2	no	—
1949	C₂×C₄	—	2	2	no	—
1950	C₂×C₄	—	4	4	no	—
1951	C₂×C₄	—	4	4	no	—
1952	C₂×C₄	—	4	4	no	—
1953	C₂×C₄	—	4	4	no	—
1954	C₂×C₄	—	268	4	no	—
1955	C₂×C₄	—	268	4	no	—
1956	C₂×C₄	—	268	4	no	—
1957	C₂×C₄	—	268	4	no	—
1958	C₂×C₄	—	268	4	no	—
1959	C₂×C₄	—	268	4	no	—
1960	C₂×C₄	—	268	4	no	—
1961	C₂×C₄	—	268	4	no	—
1962	C₂×C₄	—	268	4	no	—
1963	C₂×C₄	—	268	4	no	—
1964	C₂×C₄	—	268	4	no	—
1965	C₂×C₄	—	268	4	no	—
1966	C₂×C₄	—	268	4	no	—
1967	C₂×C₄	—	268	4	no	—
1968	C₂×C₄	—	268	4	no	—
1969	C₂×C₄	—	67	4	no	—
1970	C₂×C₄	—	67	2	no	—
1971	C₂×C₄	—	67	2	no	—
1972	C₂×C₄	—	67	2	no	—
1973	C₂×C₄	—	67	2	no	—
1974	C₂×C₄	—	67	2	no	—
1975	C₂×C₄	—	67	2	no	—
1976	C₂×C₄	—	67	2	no	—
1977	C₂×C₄	—	67	2	no	—
1978	C₂×C₄	—	67	2	no	—
1979	C₂×C₄	—	67	2	no	—
1980	C₂×C₄	—	67	2	no	—
1981	C₂×C₄	—	134	8	no	—
1982	C₂×C₄	—	134	8	no	—
1983	C₂×C₄	—	134	8	no	—
1984	C₂×C₄	—	134	8	no	—
1985	C₂×C₄	—	134	8	no	—
1986	C₂×C₄	—	134	8	no	—
1987	C₂×C₄	—	134	8	no	—
1988	C₂×C₄	—	134	2	no	—
1989	C₂×C₄	—	134	2	no	—
1990	C₂×C₄	—	134	2	no	—
1991	C₂×C₄	—	134	2	no	—
1992	C₂×C₄	—	134	2	no	—
1993	C₂×C₄	—	134	2	no	—
1994	C₂×C₄	—	134	2	no	—
1995	C₂×C₄	—	134	2	no	—
1996	C₂×C₄	—	134	2	no	—
1997	C₂×C₄	—	134	2	no	—
1998	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1999	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2000	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2001	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2002	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2003	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2004	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2005	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2006	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2007	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2008	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2009	C₂²	—	2	2	no	—
2010	C₂²	—	2	2	no	—
2011	C₂²	—	2	2	no	—
2012	C₂²	—	2	2	no	—
2013	C₂²	—	2	2	no	—
2014	C₂²	—	2	2	no	—
2015	C₂²	—	2	2	no	—
2016	C₂²	—	2	2	no	—
2017	C₂²	—	2	2	no	—
2018	C₂²	—	2	2	no	—
2019	C₂²	—	2	2	no	—
2020	C₂²	—	2	2	no	—
2021	C₂²	—	4	4	no	—
2022	C₂²	—	4	4	no	—
2023	C₂²	—	4	4	no	—
2024	C₂²	—	4	4	no	—
2025	C₂²	—	268	16	no	—
2026	C₂²	—	268	4	no	—
2027	C₂²	—	268	4	no	—
2028	C₂²	—	268	4	no	—
2029	C₂²	—	536	8	no	—
2030	C₂²	—	536	8	no	—
2031	C₂²	—	67	4	no	—
2032	C₂²	—	67	4	no	—
2033	C₂²	—	134	2	no	—
2034	C₂²	—	134	2	no	—
2035	C₂²	—	134	2	no	—
2036	C₂²	—	134	2	no	—
2037	C₂²	—	134	2	no	—
2038	C₂²	—	134	2	no	—
2039	C₂²	—	134	2	no	—
2040	C₂²	—	134	2	no	—
2041	C₂²	—	134	2	no	—
2042	C₂²	—	134	8	no	—
2043	C₂²	—	134	8	no	—
2044	C₂²	—	134	2	no	—
2045	C₂²	—	134	2	no	—
2046	C₂²	—	134	2	no	—
2047	C₂²	—	134	2	no	—
2048	C₂²	H(5,𝔽₂)×D₆₇	1	2	yes	—
2049	C₂²	H(5,𝔽₂)×D₆₇	1	2	yes	—
2050	C₂²	2₋¹⁺⁴×D₆₇	1	2	yes	—
2051	C₂²	C₂⁵×D₆₇	1	1	yes	characteristic
2052	C₄	—	2	2	no	—
2053	C₄	—	2	2	no	—
2054	C₄	—	2	2	no	—
2055	C₄	—	2	2	no	—
2056	C₄	—	2	2	no	—
2057	C₄	—	2	2	no	—
2058	C₄	—	2	2	no	—
2059	C₄	—	2	2	no	—
2060	C₄	—	2	2	no	—
2061	C₄	—	2	2	no	—
2062	C₄	—	2	2	no	—
2063	C₄	—	67	4	no	—
2064	C₄	—	134	2	no	—
2065	C₄	—	134	2	no	—
2066	C₄	—	134	2	no	—
2067	C₄	—	134	2	no	—
2068	C₄	—	134	2	no	—
2069	C₄	—	134	2	no	—
2070	C₄	—	134	2	no	—
2071	C₄	—	134	2	no	—
2072	C₄	—	134	2	no	—
2073	C₄	—	134	2	no	—
2074	C₂	—	4	2	no	—
2075	C₂	—	4	2	no	—
2076	C₂	—	4	2	no	—
2077	C₂	—	4	2	no	—
2078	C₂	—	268	2	no	—
2079	C₂	—	268	2	no	—
2080	C₂	—	268	2	no	—
2081	C₂	—	134	4	no	—
2082	C₂	—	134	4	no	—
2083	C₂	#22574428	1	4	yes	direct product factor
2084	C₂	C₂×H(5,𝔽₂)×D₆₇	1	1	yes	characteristic
2085	C₂	C₂×H(5,𝔽₂)×D₆₇	1	1	yes	characteristic
2086	C₂	C₂×2₋¹⁺⁴×D₆₇	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₆₇
commutator, cosocle	C₂²×C₆₇	C₂⁶
Frattini	C₂²	C₂⁵×D₆₇
Fitting	C₂×#562×C₆₇	C₂
socle	C₂³×C₆₇	C₂⁵
hypercenter	C₂×#562	D₆₇
hypocenter	C₆₇	C₂×#3536
LCS	G ▷ C₂²×C₆₇ ▷ C₆₇
UCS	C₁ ◁ C₂³ ◁ C₂×#562

Complements

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

N	H ≅ G/N	type
1. #22574428	C₂	direct (N × H)
2. C₂×#16864143	C₂	semidirect
3. C₂×#16864142	C₂	semidirect
4. C₂×#16864141	C₂	semidirect
5. C₂×#16864102	C₂	semidirect
6. C₂×#16864100	C₂	semidirect
7. C₂×#16864056	C₂	semidirect
8. C₂×#16864054	C₂	semidirect
9. C₂×#16864048	C₂	semidirect
10. C₂×#16864044	C₂	semidirect
11. C₂×#16864043	C₂	semidirect
12. C₂×#16864039	C₂	semidirect
13. C₂×#16864038	C₂	semidirect
14. C₂×#16864038	C₂	semidirect
15. C₂×#16864035	C₂	semidirect
16. C₂×#16864035	C₂	semidirect
17. C₂×#16864021	C₂	semidirect
18. C₂×#16864021	C₂	semidirect
19. C₂×#16864014	C₂	semidirect
20. C₂×#16864010	C₂	semidirect
21. C₂×#16863994	C₂	semidirect
22. C₂×#16863989	C₂	semidirect
23. C₂×#16863982	C₂	semidirect
24. C₂×#16863980	C₂	semidirect
25. C₂×#16863976	C₂	semidirect
26. C₂×#16863975	C₂	semidirect
27. C₂×#16863975	C₂	semidirect
28. C₂×#16863973	C₂	semidirect
29. C₂×#16863904	C₂	semidirect
30. C₂×C₂²⋊Q₈×D₆₇	C₂	semidirect
31. C₂×#121×D₆₇	C₂	semidirect
32. C₂×#562×C₆₇	C₂	semidirect
33. C₂²×#11761629	C₂²	semidirect
34. C₂²×#11761628	C₂²	semidirect
35. C₂²×#11761628	C₂²	semidirect
36. C₂²×#11761628	C₂²	semidirect
37. C₂²×#11761627	C₂²	semidirect
38. C₂²×#11761627	C₂²	semidirect
39. C₂²×#11761627	C₂²	semidirect
40. C₂²×Q₈×D₆₇	C₂²	semidirect
45. #16864143	C₂²	semidirect
46. #16864142	C₂²	semidirect
47. #16864141	C₂²	semidirect
48. #16864102	C₂²	semidirect
49. #16864100	C₂²	semidirect
50. #16864056	C₂²	semidirect
51. #16864054	C₂²	semidirect
52. #16864048	C₂²	semidirect
53. #16864044	C₂²	semidirect
54. #16864043	C₂²	semidirect
55. #16864039	C₂²	semidirect
56. #16864038	C₂²	semidirect
57. #16864038	C₂²	semidirect
58. #16864035	C₂²	semidirect
59. #16864035	C₂²	semidirect
60. #16864021	C₂²	semidirect
61. #16864021	C₂²	semidirect
62. #16864014	C₂²	semidirect
63. #16864010	C₂²	semidirect
64. #16863994	C₂²	semidirect
65. #16863989	C₂²	semidirect
66. #16863982	C₂²	semidirect
67. #16863980	C₂²	semidirect
68. #16863976	C₂²	semidirect
69. #16863975	C₂²	semidirect
70. #16863975	C₂²	semidirect
71. #16863973	C₂²	semidirect
72. C₂×#14524042	C₂²	semidirect
73. C₂×#14524041	C₂²	semidirect
74. C₂×#14524038	C₂²	semidirect
75. C₂×#14524037	C₂²	semidirect
76. C₂×#14524036	C₂²	semidirect
77. C₂×#14524036	C₂²	semidirect
78. C₂×#14524034	C₂²	semidirect
79. C₂×#14524033	C₂²	semidirect
80. C₂×#14524033	C₂²	semidirect
81. C₂×#14524032	C₂²	semidirect
82. C₂×#14524030	C₂²	semidirect
83. C₂×#14524029	C₂²	semidirect
84. C₂×#14524029	C₂²	semidirect
85. C₂×#14524029	C₂²	semidirect
86. C₂×#14524029	C₂²	semidirect
87. C₂×#14524029	C₂²	semidirect
88. C₂×#14524029	C₂²	semidirect
89. #16863904	C₂²	semidirect
90. C₂×#14524028	C₂²	semidirect
91. C₂×#14524028	C₂²	semidirect
92. C₂×#14524028	C₂²	semidirect
93. C₂×#14524028	C₂²	semidirect
94. C₂×#14524028	C₂²	semidirect
95. C₂×#14524027	C₂²	semidirect
96. C₂×#14524026	C₂²	semidirect
97. C₂×#14524025	C₂²	semidirect
98. C₂×#14524025	C₂²	semidirect
99. C₂×#14524025	C₂²	semidirect
100. C₂×#14524025	C₂²	semidirect
101. C₂×#14524025	C₂²	semidirect
102. C₂×#14524024	C₂²	semidirect
103. C₂×#14524024	C₂²	semidirect
106. C₂×#14524023	C₂²	semidirect
107. C₂×#14524023	C₂²	semidirect
108. C₂×#14524023	C₂²	semidirect
109. C₂×#14524022	C₂²	semidirect
110. C₂×#14524022	C₂²	semidirect
111. C₂×#14524022	C₂²	semidirect
117. C₂×#14524021	C₂²	semidirect
118. C₂×#14524021	C₂²	semidirect
119. C₂×#14524021	C₂²	semidirect
120. C₂×#14524021	C₂²	semidirect
121. C₂×#14524021	C₂²	semidirect
122. C₂×#14524021	C₂²	semidirect
123. C₂×#14524021	C₂²	semidirect
124. C₂×#14524020	C₂²	semidirect
125. C₂×#14524020	C₂²	semidirect
126. C₂×#14524020	C₂²	semidirect
127. C₂×#14524020	C₂²	semidirect
128. C₂×#14524020	C₂²	semidirect
129. C₂×#14524020	C₂²	semidirect
130. C₂×#14524020	C₂²	semidirect
131. C₂×#14524020	C₂²	semidirect
134. C₂×#14524019	C₂²	semidirect
135. C₂×#14524019	C₂²	semidirect
136. C₂²⋊Q₈×D₆₇	C₂²	semidirect
138. C₂×#14524018	C₂²	semidirect
139. C₂×#14524018	C₂²	semidirect
141. C₂×#14524017	C₂²	semidirect
145. C₂×#14524016	C₂²	semidirect
146. C₂×#14524016	C₂²	semidirect
147. C₂×#14524016	C₂²	semidirect
148. C₂×#14524016	C₂²	semidirect
149. C₂×#14524016	C₂²	semidirect
150. C₂×#14524016	C₂²	semidirect
151. C₂×#14524016	C₂²	semidirect
152. C₂×#14524016	C₂²	semidirect
155. C₂×#14524015	C₂²	semidirect
156. C₂×#14524015	C₂²	semidirect
157. C₂×#14524015	C₂²	semidirect
158. C₂×#14524015	C₂²	semidirect
159. C₂×#14524015	C₂²	semidirect
161. C₂×#14524014	C₂²	semidirect
162. C₂×#14524014	C₂²	semidirect
163. C₂×#14524014	C₂²	semidirect
164. C₂×#14524014	C₂²	semidirect
165. #121×D₆₇	C₂²	semidirect
172. C₂×C₄×Dic₁₃₄	C₂²	semidirect
173. C₂×#14524008	C₂²	semidirect
175. C₂×C₄×D₂₆₈	C₂²	semidirect
178. C₂×#14524005	C₂²	semidirect
179. C₂×#14524005	C₂²	semidirect
181. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
182. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
185. C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	semidirect
186. C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	semidirect
187. C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	semidirect
188. C₂×#14523999	C₂²	semidirect
189. C₂²×Dic₆₇⋊C₄	C₂²	semidirect
191. C₂×C₄⋊C₄×D₆₇	C₂²	semidirect
192. C₂×C₄⋊C₄×D₆₇	C₂²	semidirect
193. C₂×C₄⋊C₄×D₆₇	C₂²	semidirect
194. C₂×C₄⋊C₄×D₆₇	C₂²	semidirect
203. #562×C₆₇	C₂²	semidirect
204. C₂×#125×C₆₇	C₂²	semidirect
205. C₂×#124×C₆₇	C₂²	semidirect
206. C₂×#124×C₆₇	C₂²	semidirect
207. C₂×#123×C₆₇	C₂²	semidirect
208. C₂×#123×C₆₇	C₂²	semidirect
209. C₂×#123×C₆₇	C₂²	semidirect
210. C₂×#123×C₆₇	C₂²	semidirect
211. C₂×C₂²⋊Q₈×C₆₇	C₂²	semidirect
212. C₂×C₂²⋊Q₈×C₆₇	C₂²	semidirect
213. C₂×C₂²⋊Q₈×C₆₇	C₂²	semidirect
214. C₂×C₂²⋊Q₈×C₆₇	C₂²	semidirect
216. C₂×#121×C₆₇	C₂²	semidirect
217. C₂×#121×C₆₇	C₂²	semidirect
218. C₂×#121×C₆₇	C₂²	semidirect
223. C₂×#11761629	C₂³	semidirect
227. C₂×#11761628	C₂³	semidirect
228. C₂×#11761628	C₂³	semidirect
229. C₂×#11761628	C₂³	semidirect
233. C₂×#11761627	C₂³	semidirect
234. C₂×#11761627	C₂³	semidirect
235. C₂×#11761627	C₂³	semidirect
244. C₂×Q₈×D₆₇	C₂³	semidirect
296. #14524042	C₂³	semidirect
297. #14524041	C₂³	semidirect
298. #14524038	C₂³	semidirect
299. #14524037	C₂³	semidirect
300. #14524036	C₂³	semidirect
301. #14524036	C₂³	semidirect
302. #14524034	C₂³	semidirect
303. #14524033	C₂³	semidirect
304. #14524033	C₂³	semidirect
305. #14524032	C₂³	semidirect
306. #14524030	C₂³	semidirect
307. #14524029	C₂³	semidirect
308. #14524029	C₂³	semidirect
309. #14524029	C₂³	semidirect
310. #14524029	C₂³	semidirect
311. #14524029	C₂³	semidirect
312. #14524029	C₂³	semidirect
313. #14524028	C₂³	semidirect
314. #14524028	C₂³	semidirect
315. #14524028	C₂³	semidirect
316. #14524028	C₂³	semidirect
317. #14524028	C₂³	semidirect
318. #14524027	C₂³	semidirect
319. #14524026	C₂³	semidirect
320. #14524025	C₂³	semidirect
321. #14524025	C₂³	semidirect
322. #14524025	C₂³	semidirect
323. #14524025	C₂³	semidirect
324. #14524025	C₂³	semidirect
325. #14524024	C₂³	semidirect
326. #14524024	C₂³	semidirect
329. #14524023	C₂³	semidirect
330. #14524023	C₂³	semidirect
331. #14524023	C₂³	semidirect
332. #14524022	C₂³	semidirect
333. #14524022	C₂³	semidirect
334. #14524022	C₂³	semidirect
340. #14524021	C₂³	semidirect
341. #14524021	C₂³	semidirect
342. #14524021	C₂³	semidirect
343. #14524021	C₂³	semidirect
344. #14524021	C₂³	semidirect
345. #14524021	C₂³	semidirect
346. #14524021	C₂³	semidirect
347. #14524020	C₂³	semidirect
348. #14524020	C₂³	semidirect
349. #14524020	C₂³	semidirect
350. #14524020	C₂³	semidirect
351. #14524020	C₂³	semidirect
352. #14524020	C₂³	semidirect
353. #14524020	C₂³	semidirect
354. #14524020	C₂³	semidirect
357. #14524019	C₂³	semidirect
358. #14524019	C₂³	semidirect
360. #14524018	C₂³	semidirect
361. #14524018	C₂³	semidirect
363. #14524017	C₂³	semidirect
367. #14524016	C₂³	semidirect
368. #14524016	C₂³	semidirect
369. #14524016	C₂³	semidirect
370. #14524016	C₂³	semidirect
371. #14524016	C₂³	semidirect
372. #14524016	C₂³	semidirect
373. #14524016	C₂³	semidirect
374. #14524016	C₂³	semidirect
377. #14524015	C₂³	semidirect
378. #14524015	C₂³	semidirect
379. #14524015	C₂³	semidirect
380. #14524015	C₂³	semidirect
381. #14524015	C₂³	semidirect
383. #14524014	C₂³	semidirect
384. #14524014	C₂³	semidirect
385. #14524014	C₂³	semidirect
386. #14524014	C₂³	semidirect
393. C₄×Dic₁₃₄	C₂³	semidirect
394. #14524008	C₂³	semidirect
396. C₄×D₂₆₈	C₂³	semidirect
399. #14524005	C₂³	semidirect
400. #14524005	C₂³	semidirect
402. C₄×C₂²⋊D₆₇	C₂³	semidirect
403. C₄×C₂²⋊D₆₇	C₂³	semidirect
406. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
407. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
408. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
409. #14523999	C₂³	semidirect
438. C₂×Dic₆₇⋊C₄	C₂³	semidirect
440. C₄⋊C₄×D₆₇	C₂³	semidirect
441. C₄⋊C₄×D₆₇	C₂³	semidirect
442. C₄⋊C₄×D₆₇	C₂³	semidirect
443. C₄⋊C₄×D₆₇	C₂³	semidirect
503. #125×C₆₇	C₂³	semidirect
504. #124×C₆₇	C₂³	semidirect
505. #124×C₆₇	C₂³	semidirect
506. #123×C₆₇	C₂³	semidirect
507. #123×C₆₇	C₂³	semidirect
508. #123×C₆₇	C₂³	semidirect
509. #123×C₆₇	C₂³	semidirect
510. C₂²⋊Q₈×C₆₇	C₂³	semidirect
511. C₂²⋊Q₈×C₆₇	C₂³	semidirect
512. C₂²⋊Q₈×C₆₇	C₂³	semidirect
513. C₂²⋊Q₈×C₆₇	C₂³	semidirect
515. #121×C₆₇	C₂³	semidirect
516. #121×C₆₇	C₂³	semidirect
517. #121×C₆₇	C₂³	semidirect
1035. C₂×C₆₇	#3536	semidirect
1048. C₂×#562	D₆₇	semidirect
1076. C₆₇	C₂×#3536	semidirect
1092. #562	C₂×D₆₇	semidirect
1126. C₂×#125	C₂×D₆₇	semidirect
1135. C₂×#124	C₂×D₆₇	semidirect
1136. C₂×#124	C₂×D₆₇	semidirect
1152. C₂×#123	C₂×D₆₇	semidirect
1153. C₂×#123	C₂×D₆₇	semidirect
1154. C₂×#123	C₂×D₆₇	semidirect
1155. C₂×#123	C₂×D₆₇	semidirect
1189. C₂×C₂²⋊Q₈	C₂×D₆₇	semidirect
1190. C₂×C₂²⋊Q₈	C₂×D₆₇	semidirect
1191. C₂×C₂²⋊Q₈	C₂×D₆₇	semidirect
1192. C₂×C₂²⋊Q₈	C₂×D₆₇	semidirect
1223. C₂×#121	C₂×D₆₇	semidirect
1224. C₂×#121	C₂×D₆₇	semidirect
1225. C₂×#121	C₂×D₆₇	semidirect
1361. #125	C₂²×D₆₇	semidirect
1370. #124	C₂²×D₆₇	semidirect
1371. #124	C₂²×D₆₇	semidirect
1386. #123	C₂²×D₆₇	semidirect
1387. #123	C₂²×D₆₇	semidirect
1388. #123	C₂²×D₆₇	semidirect
1389. #123	C₂²×D₆₇	semidirect
1422. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1423. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1424. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1425. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1455. #121	C₂²×D₆₇	semidirect
1456. #121	C₂²×D₆₇	semidirect
1457. #121	C₂²×D₆₇	semidirect
2083. C₂	#22574428	direct (N × H)

Maximal subgroups

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

subgroup	index
#22574428	2
C₂×#16864143	2
C₂×#16864142	2
C₂×#16864141	2
C₂×#16864102	2
C₂×#16864100	2
C₂×#16864056	2
C₂×#16864054	2
C₂×#16864048	2
C₂×#16864044	2
C₂×#16864043	2
C₂×#16864039	2
C₂×#16864038	2
C₂×#16864035	2
C₂×#16864021	2
C₂×#16864014	2
C₂×#16864010	2
C₂×#16863994	2
C₂×#16863989	2
C₂×#16863982	2
C₂×#16863980	2
C₂×#16863976	2
C₂×#16863975	2
C₂×#16863973	2
C₂×#16863904	2
C₂×C₂²⋊Q₈×D₆₇	2
C₂×#121×D₆₇	2
C₂×#562×C₆₇	2
C₂×#3536	67

Subgroups — C2×#22574428 #31763047

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#22574428 #31763047