Subgroups — C₂×#22574247 #31763841

Order 17152.

7910 conjugacy classes of subgroups.

The subgroup lattice has 1992 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22574247	C₂	1	32	yes	maximal, direct product factor
2	C₂×#16864113	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#16864105	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#16864100	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#16864082	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#16864079	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#16864072	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#16864070	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#16864069	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#16864059	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#16864055	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#16864054	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#16864044	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#16864044	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×#16864012	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#16864010	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#16863995	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#16863990	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#16863989	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#16863987	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#16863949	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#16863923	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#16863905	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#16863902	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂²×#14524020	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×C₂²⋊Q₈×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#16863876	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#16863875	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂²×(C₂²⋊D₆₇)⋊C₄	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
34	C₂²×#11761628	C₂²	1	1	yes	characteristic, complemented
35	C₂²×#11761627	C₂²	1	1	yes	characteristic
36	C₂²×#11761627	C₂²	1	1	yes	characteristic, complemented
37	C₂³×Dic₁₃₄	C₂²	1	1	yes	characteristic, complemented
38	C₂²×Q₈×D₆₇	C₂²	1	1	yes	characteristic, complemented
39	C₂³×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic
40	C₂⁴×Dic₆₇	C₂²	1	1	yes	characteristic
41	C₂³×C₄×D₆₇	C₂²	1	1	yes	characteristic
42	#16864113	C₂²	1	16	yes	complemented
43	#16864105	C₂²	1	16	yes	complemented
44	#16864100	C₂²	1	16	yes	complemented
45	#16864082	C₂²	1	16	yes	complemented
46	#16864079	C₂²	1	16	yes	complemented
47	#16864072	C₂²	1	16	yes	complemented
48	#16864070	C₂²	1	16	yes	complemented
49	#16864069	C₂²	1	16	yes	complemented
50	#16864059	C₂²	1	16	yes	complemented
51	#16864055	C₂²	1	16	yes	complemented
52	#16864054	C₂²	1	16	yes	complemented
53	#16864044	C₂²	1	16	yes	complemented
54	#16864044	C₂²	1	16	yes	complemented
55	#16864036	C₂²	1	16	yes	complemented
56	#16864033	C₂²	1	16	yes	complemented
57	#16864012	C₂²	1	16	yes	complemented
58	#16864010	C₂²	1	16	yes	complemented
59	#16863995	C₂²	1	16	yes	complemented
60	#16863990	C₂²	1	16	yes	complemented
61	#16863989	C₂²	1	16	yes	complemented
62	#16863987	C₂²	1	16	yes	complemented
63	#16863949	C₂²	1	16	yes	complemented
64	C₂×#14524042	C₂²	1	1	yes	characteristic, complemented
65	C₂×#14524042	C₂²	1	1	yes	characteristic, complemented
66	C₂×#14524042	C₂²	1	1	yes	characteristic, complemented
67	C₂×#14524041	C₂²	1	1	yes	characteristic, complemented
68	#16863923	C₂²	1	16	yes	complemented
69	C₂×#14524038	C₂²	1	1	yes	characteristic, complemented
70	C₂×#14524038	C₂²	1	1	yes	characteristic, complemented
71	C₂×#14524038	C₂²	1	1	yes	characteristic, complemented
72	C₂×#14524038	C₂²	1	1	yes	characteristic, complemented
73	C₂×#14524037	C₂²	1	1	yes	characteristic, complemented
74	C₂×#14524036	C₂²	1	1	yes	characteristic, complemented
75	C₂×#14524036	C₂²	1	1	yes	characteristic, complemented
76	C₂×#14524036	C₂²	1	1	yes	characteristic, complemented
77	C₂×#14524035	C₂²	1	1	yes	characteristic, complemented
78	C₂×#14524034	C₂²	1	1	yes	characteristic, complemented
79	C₂×#14524034	C₂²	1	1	yes	characteristic, complemented
80	C₂×#14524034	C₂²	1	1	yes	characteristic, complemented
81	C₂×#14524033	C₂²	1	1	yes	characteristic, complemented
82	C₂×#14524033	C₂²	1	1	yes	characteristic, complemented
83	C₂×#14524033	C₂²	1	1	yes	characteristic, complemented
84	C₂×#14524031	C₂²	1	1	yes	characteristic, complemented
85	C₂×#14524029	C₂²	1	1	yes	characteristic
86	C₂×#14524029	C₂²	1	1	yes	characteristic
87	C₂×#14524029	C₂²	1	1	yes	characteristic, complemented
88	C₂×#14524029	C₂²	1	1	yes	characteristic, complemented
89	C₂×#14524029	C₂²	1	1	yes	characteristic, complemented
90	#16863905	C₂²	1	16	yes	complemented
91	#16863902	C₂²	1	16	yes	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
96	C₂×#14524027	C₂²	1	1	yes	characteristic, complemented
97	C₂×#14524027	C₂²	1	1	yes	characteristic, complemented
98	C₂×#14524027	C₂²	1	1	yes	characteristic, complemented
99	C₂×#14524026	C₂²	1	1	yes	characteristic
100	C₂×#14524026	C₂²	1	1	yes	characteristic
101	C₂×#14524025	C₂²	1	1	yes	characteristic
102	C₂×#14524025	C₂²	1	1	yes	characteristic
103	C₂×#14524025	C₂²	1	1	yes	characteristic, complemented
104	C₂×#14524025	C₂²	1	1	yes	characteristic, complemented
105	C₂×#14524025	C₂²	1	1	yes	characteristic, complemented
106	C₂×#14524024	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
110	C₂×#14524022	C₂²	1	1	yes	characteristic, complemented
111	C₂×#14524021	C₂²	1	1	yes	characteristic, complemented
112	C₂×#14524021	C₂²	1	1	yes	characteristic, complemented
113	C₂×#14524021	C₂²	1	1	yes	characteristic, complemented
114	C₂×#14524021	C₂²	1	1	yes	characteristic, complemented
115	C₂×#14524021	C₂²	1	1	yes	characteristic, complemented
116	C₂×#14524021	C₂²	1	1	yes	characteristic, complemented
117	C₂×#14524020	C₂²	1	1	yes	characteristic
118	C₂×#14524020	C₂²	1	1	yes	characteristic
119	C₂×#14524020	C₂²	1	1	yes	characteristic
120	C₂×#14524020	C₂²	1	1	yes	characteristic
121	C₂×#14524020	C₂²	1	1	yes	characteristic
122	C₂×#14524020	C₂²	1	1	yes	characteristic
123	C₂×#14524020	C₂²	1	1	yes	characteristic
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×#14524020	C₂²	1	16	yes	complemented
133	C₂×#14524019	C₂²	1	1	yes	characteristic, complemented
134	C₂×#14524019	C₂²	1	1	yes	characteristic, complemented
135	C₂²⋊Q₈×D₆₇	C₂²	1	16	yes	complemented
136	C₂×#14524017	C₂²	1	1	yes	characteristic
137	C₂×#14524016	C₂²	1	1	yes	characteristic
138	C₂×#14524016	C₂²	1	1	yes	characteristic
139	C₂×#14524016	C₂²	1	1	yes	characteristic, complemented
140	C₂×#14524015	C₂²	1	1	yes	characteristic
141	C₂×#14524015	C₂²	1	1	yes	characteristic
142	C₂×#14524015	C₂²	1	1	yes	characteristic
143	C₂×#14524015	C₂²	1	1	yes	characteristic, complemented
144	C₂×#14524014	C₂²	1	1	yes	characteristic
145	C₂×#14524013	C₂²	1	1	yes	characteristic
146	C₂×#14524012	C₂²	1	1	yes	characteristic
147	C₂×#14524011	C₂²	1	1	yes	characteristic
148	#16863876	C₂²	1	16	yes	complemented
149	#16863875	C₂²	1	16	yes	complemented
150	C₂×C₄×Dic₁₃₄	C₂²	1	1	yes	characteristic, complemented
151	C₂×C₄×Dic₁₃₄	C₂²	1	1	yes	characteristic, complemented
152	C₂×C₄×Dic₁₃₄	C₂²	1	1	yes	characteristic, complemented
153	C₂×C₄×Dic₁₃₄	C₂²	1	1	yes	characteristic, complemented
154	C₂×C₄×Dic₁₃₄	C₂²	1	1	yes	characteristic, complemented
155	C₂×#14524008	C₂²	1	1	yes	characteristic, complemented
156	C₂×#14524008	C₂²	1	1	yes	characteristic, complemented
157	C₂×C₄×D₂₆₈	C₂²	1	1	yes	characteristic, complemented
158	C₂×C₄×D₂₆₈	C₂²	1	1	yes	characteristic, complemented
159	C₂×D₄×Dic₆₇	C₂²	1	1	yes	characteristic
160	C₂×D₄×Dic₆₇	C₂²	1	1	yes	characteristic
161	C₂×D₄×Dic₆₇	C₂²	1	1	yes	characteristic, complemented
162	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic
163	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic
164	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic, complemented
165	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic
166	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic
167	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic
168	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic
169	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic
170	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic
171	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic
172	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic
173	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic
174	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic
175	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic
176	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	16	yes	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	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
181	C₂×#14524002	C₂²	1	1	yes	characteristic
182	C₂×#14524001	C₂²	1	1	yes	characteristic, complemented
183	C₂×#14524001	C₂²	1	1	yes	characteristic, complemented
184	C₂×#14524000	C₂²	1	1	yes	characteristic, complemented
185	C₂×#14524000	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×C₄⋊Dic₆₇	C₂²	1	1	yes	characteristic, complemented
190	C₂²×Dic₆₇⋊C₄	C₂²	1	1	yes	characteristic
191	C₂²×Dic₆₇⋊C₄	C₂²	1	1	yes	characteristic, complemented
192	C₂²×Dic₆₇⋊C₄	C₂²	1	1	yes	characteristic, complemented
193	C₂²×Dic₆₇⋊C₄	C₂²	1	1	yes	characteristic, complemented
194	C₂×C₄⋊C₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
195	C₂×C₄⋊C₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
196	C₂×C₄⋊C₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
197	C₂×C₄⋊C₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
198	C₂²×C₂²⋊Dic₆₇	C₂²	1	1	yes	characteristic
199	C₂²×(C₂×D₆₇)⋊C₄	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	C₂²×C₄×Dic₆₇	C₂²	1	1	yes	characteristic
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
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
216	C₂×#117×C₆₇	C₂²	1	1	yes	characteristic, complemented
217	C₂²×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
218	C₂²×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
219	C₂⁴×D₆₇	C₂³	1	1	yes	characteristic
220	C₂×#11761628	—	2	8	no	—
221	C₂×#11761628	—	4	4	no	—
222	C₂×#11761628	C₂³	1	8	yes	—
223	C₂×#11761628	C₂³	1	8	yes	complemented
224	C₂×#11761627	—	2	8	no	—
225	C₂×#11761627	—	4	4	no	—
226	C₂×#11761627	C₂³	1	8	yes	—
227	C₂×#11761627	C₂³	1	8	yes	complemented
228	C₂²×Dic₁₃₄	—	4	4	no	—
229	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic
230	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic
231	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic
232	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic
233	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic
234	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic
235	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic
236	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic
237	C₂²×Dic₁₃₄	C₂³	1	8	yes	complemented
238	C₂×Q₈×D₆₇	—	4	4	no	—
239	C₂×Q₈×D₆₇	C₂³	1	8	yes	complemented
240	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
241	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
242	C₂²×C₂²⋊D₆₇	—	2	8	no	—
243	C₂²×C₂²⋊D₆₇	C₂³	1	8	yes	—
244	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
245	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
246	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
247	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
248	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
249	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
250	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
251	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
252	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
253	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
254	C₂³×Dic₆₇	—	4	4	no	—
255	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
256	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
257	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
258	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
259	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
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	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
266	C₂³×Dic₆₇	C₂³	1	8	yes	—
267	C₂²×C₄×D₆₇	—	4	4	no	—
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	8	yes	—
280	#14524042	C₂³	1	8	yes	complemented
281	#14524042	C₂³	1	8	yes	complemented
282	#14524042	C₂³	1	8	yes	complemented
283	#14524041	C₂³	1	8	yes	complemented
284	#14524038	C₂³	1	8	yes	complemented
285	#14524038	C₂³	1	8	yes	complemented
286	#14524038	C₂³	1	8	yes	complemented
287	#14524038	C₂³	1	8	yes	complemented
288	#14524037	C₂³	1	8	yes	complemented
289	#14524036	C₂³	1	8	yes	complemented
290	#14524036	C₂³	1	8	yes	complemented
291	#14524036	C₂³	1	8	yes	complemented
292	#14524035	C₂³	1	8	yes	complemented
293	#14524034	C₂³	1	8	yes	complemented
294	#14524034	C₂³	1	8	yes	complemented
295	#14524034	C₂³	1	8	yes	complemented
296	#14524033	C₂³	1	8	yes	complemented
297	#14524033	C₂³	1	8	yes	complemented
298	#14524033	C₂³	1	8	yes	complemented
299	#14524031	C₂³	1	8	yes	complemented
300	#14524029	C₂³	1	8	yes	—
301	#14524029	C₂³	1	8	yes	—
302	#14524029	C₂³	1	8	yes	complemented
303	#14524029	C₂³	1	8	yes	complemented
304	#14524029	C₂³	1	8	yes	complemented
305	#14524028	C₂³	1	8	yes	complemented
306	#14524028	C₂³	1	8	yes	complemented
307	#14524028	C₂³	1	8	yes	complemented
308	#14524027	C₂³	1	8	yes	—
309	#14524027	C₂³	1	8	yes	complemented
310	#14524027	C₂³	1	8	yes	complemented
311	#14524027	C₂³	1	8	yes	complemented
312	#14524026	C₂³	1	8	yes	—
313	#14524026	C₂³	1	8	yes	—
314	#14524025	C₂³	1	8	yes	—
315	#14524025	C₂³	1	8	yes	—
316	#14524025	C₂³	1	8	yes	complemented
317	#14524025	C₂³	1	8	yes	complemented
318	#14524025	C₂³	1	8	yes	complemented
319	#14524024	C₂³	1	8	yes	complemented
320	#14524023	C₂³	1	8	yes	complemented
321	#14524023	C₂³	1	8	yes	complemented
322	#14524022	C₂³	1	8	yes	—
323	#14524022	C₂³	1	8	yes	complemented
324	#14524021	C₂³	1	8	yes	complemented
325	#14524021	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	—
331	#14524020	C₂³	1	8	yes	—
332	#14524020	C₂³	1	8	yes	—
333	#14524020	C₂³	1	8	yes	—
334	#14524020	C₂³	1	8	yes	—
335	#14524020	C₂³	1	8	yes	—
336	#14524020	C₂³	1	8	yes	—
337	#14524020	C₂³	1	8	yes	complemented
338	#14524020	C₂³	1	8	yes	complemented
339	#14524020	C₂³	1	8	yes	complemented
340	#14524020	C₂³	1	8	yes	complemented
341	#14524020	C₂³	1	8	yes	complemented
342	#14524020	C₂³	1	8	yes	complemented
343	#14524020	C₂³	1	8	yes	complemented
344	#14524020	C₂³	1	8	yes	complemented
345	#14524019	C₂³	1	8	yes	complemented
346	#14524019	C₂³	1	8	yes	complemented
347	#14524017	C₂³	1	8	yes	—
348	#14524016	C₂³	1	8	yes	—
349	#14524016	C₂³	1	8	yes	—
350	#14524016	C₂³	1	8	yes	complemented
351	#14524015	C₂³	1	8	yes	—
352	#14524015	C₂³	1	8	yes	—
353	#14524015	C₂³	1	8	yes	—
354	#14524015	C₂³	1	8	yes	complemented
355	#14524014	C₂³	1	8	yes	—
356	#14524013	C₂³	1	8	yes	—
357	#14524012	C₂³	1	8	yes	—
358	#14524011	C₂³	1	8	yes	—
359	C₄×Dic₁₃₄	C₂³	1	8	yes	complemented
360	C₄×Dic₁₃₄	C₂³	1	8	yes	complemented
361	C₄×Dic₁₃₄	C₂³	1	8	yes	complemented
362	C₄×Dic₁₃₄	C₂³	1	8	yes	complemented
363	C₄×Dic₁₃₄	C₂³	1	8	yes	complemented
364	#14524008	C₂³	1	8	yes	complemented
365	#14524008	C₂³	1	8	yes	complemented
366	C₄×D₂₆₈	C₂³	1	8	yes	complemented
367	C₄×D₂₆₈	C₂³	1	8	yes	complemented
368	D₄×Dic₆₇	C₂³	1	8	yes	—
369	D₄×Dic₆₇	C₂³	1	8	yes	—
370	D₄×Dic₆₇	C₂³	1	8	yes	complemented
371	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	—
372	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	—
373	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	complemented
374	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	—
375	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	—
376	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	—
377	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	—
378	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	—
379	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	—
380	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	—
381	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	—
382	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	—
383	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	—
384	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	—
385	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	complemented
386	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	complemented
387	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	complemented
388	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	complemented
389	#14524002	C₂³	1	8	yes	—
390	#14524001	C₂³	1	8	yes	complemented
391	#14524001	C₂³	1	8	yes	complemented
392	#14524000	C₂³	1	8	yes	complemented
393	#14524000	C₂³	1	8	yes	complemented
394	#14523999	C₂³	1	8	yes	complemented
395	#14523999	C₂³	1	8	yes	complemented
396	#14523999	C₂³	1	8	yes	complemented
397	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
398	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
399	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
400	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
401	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
402	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
403	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
404	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
405	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
406	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
407	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
408	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
409	C₂×C₄⋊Dic₆₇	C₂³	1	8	yes	complemented
410	C₂×Dic₆₇⋊C₄	C₂³	1	8	yes	—
411	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
412	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
413	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
414	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
415	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
416	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
417	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
418	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
419	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
420	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
421	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
422	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
423	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
424	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
425	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
426	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
427	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
428	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
429	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
430	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
431	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
432	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
433	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
434	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	8	yes	complemented
438	C₂×Dic₆₇⋊C₄	C₂³	1	8	yes	complemented
439	C₂×Dic₆₇⋊C₄	C₂³	1	8	yes	complemented
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	8	yes	—
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×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
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	C₂²⋊C₄×D₆₇	C₂³	1	8	yes	—
475	C₂²⋊C₄×D₆₇	C₂³	1	8	yes	—
476	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
477	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
478	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
479	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
480	C₂×C₄×Dic₆₇	C₂³	1	8	yes	—
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	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
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	—
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	—
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	8	yes	—
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	8	yes	—
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	1	yes	characteristic
534	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
542	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
543	C₂³×D₆₇	C₂⁴	1	4	yes	—
544	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
545	#11761628	—	2	32	no	—
546	#11761628	—	4	16	no	—
547	#11761627	—	2	32	no	—
548	#11761627	—	4	16	no	—
549	C₂×Dic₁₃₄	—	2	4	no	—
550	C₂×Dic₁₃₄	—	2	4	no	—
551	C₂×Dic₁₃₄	—	2	4	no	—
552	C₂×Dic₁₃₄	—	2	4	no	—
553	C₂×Dic₁₃₄	—	2	4	no	—
554	C₂×Dic₁₃₄	—	4	16	no	—
555	C₂×Dic₁₃₄	—	4	2	no	—
556	C₂×Dic₁₃₄	—	4	2	no	—
557	C₂×Dic₁₃₄	—	4	2	no	—
558	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
559	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
560	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
561	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
562	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
563	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
564	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
565	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
566	Q₈×D₆₇	—	4	16	no	—
567	C₂×D₂₆₈	—	2	4	no	—
568	C₂×D₂₆₈	—	4	2	no	—
569	C₂×D₂₆₈	C₂⁴	1	4	yes	—
570	C₂×D₂₆₈	C₂⁴	1	4	yes	—
571	C₂×C₂²⋊D₆₇	—	2	4	no	—
572	C₂×C₂²⋊D₆₇	—	2	4	no	—
573	C₂×C₂²⋊D₆₇	—	2	4	no	—
574	C₂×C₂²⋊D₆₇	—	2	4	no	—
575	C₂×C₂²⋊D₆₇	—	2	4	no	—
576	C₂×C₂²⋊D₆₇	—	2	32	no	—
577	C₂×C₂²⋊D₆₇	—	2	4	no	—
578	C₂×C₂²⋊D₆₇	—	2	4	no	—
579	C₂×C₂²⋊D₆₇	—	4	2	no	—
580	C₂×C₂²⋊D₆₇	—	4	2	no	—
581	C₂×C₂²⋊D₆₇	#41	1	8	yes	complemented
582	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
583	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
584	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
585	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
586	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
587	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
588	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
589	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
590	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
591	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
592	C₂²×Dic₆₇	—	2	4	no	—
593	C₂²×Dic₆₇	—	2	4	no	—
594	C₂²×Dic₆₇	—	2	4	no	—
595	C₂²×Dic₆₇	—	2	4	no	—
596	C₂²×Dic₆₇	—	2	4	no	—
597	C₂²×Dic₆₇	—	2	4	no	—
598	C₂²×Dic₆₇	—	4	16	no	—
599	C₂²×Dic₆₇	—	4	2	no	—
600	C₂²×Dic₆₇	—	4	2	no	—
601	C₂²×Dic₆₇	—	4	2	no	—
602	C₂²×Dic₆₇	—	4	2	no	—
603	C₂²×Dic₆₇	—	4	2	no	—
604	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
605	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
606	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
607	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
608	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
609	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
610	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
611	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
612	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
613	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
614	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
615	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
616	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
617	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
618	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
619	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
620	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
621	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
622	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
623	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
624	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
625	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
626	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
627	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
628	C₂×C₄×D₆₇	—	2	4	no	—
629	C₂×C₄×D₆₇	—	2	4	no	—
630	C₂×C₄×D₆₇	—	2	4	no	—
631	C₂×C₄×D₆₇	—	2	4	no	—
632	C₂×C₄×D₆₇	—	2	4	no	—
633	C₂×C₄×D₆₇	—	4	16	no	—
634	C₂×C₄×D₆₇	—	4	2	no	—
635	C₂×C₄×D₆₇	—	4	2	no	—
636	C₂×C₄×D₆₇	—	4	2	no	—
637	C₂×C₄×D₆₇	—	4	2	no	—
638	C₂×C₄×D₆₇	—	4	2	no	—
639	C₂×C₄×D₆₇	—	4	2	no	—
640	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
641	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
642	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
643	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
644	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
645	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
646	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
647	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
648	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
649	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
650	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
651	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
652	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
653	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
654	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
655	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
656	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
657	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
658	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
659	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
660	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
661	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
662	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
663	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
664	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
665	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
666	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
667	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
668	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
669	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
670	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
671	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
672	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
673	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
674	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
675	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
676	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
677	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	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
690	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
691	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
692	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
693	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
694	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
695	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	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
700	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
701	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
702	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
703	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
704	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
705	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
706	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
707	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
708	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
709	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
710	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
711	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
712	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
713	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
714	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
715	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
716	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
717	C₄×Dic₆₇	C₂⁴	1	4	yes	—
718	C₄×Dic₆₇	C₂⁴	1	4	yes	—
719	C₄×Dic₆₇	C₂⁴	1	4	yes	—
720	C₄×Dic₆₇	C₂⁴	1	4	yes	—
721	C₄×Dic₆₇	C₂⁴	1	4	yes	—
722	C₄×Dic₆₇	C₂⁴	1	4	yes	—
723	C₄×Dic₆₇	C₂⁴	1	4	yes	—
724	C₄×Dic₆₇	C₂⁴	1	4	yes	—
725	C₄×Dic₆₇	C₂⁴	1	4	yes	—
726	C₄×Dic₆₇	C₂⁴	1	4	yes	—
727	C₄×Dic₆₇	C₂⁴	1	4	yes	—
728	C₂⁴×C₆₇	—	2	4	no	—
729	C₂⁴×C₆₇	—	2	4	no	—
730	C₂⁴×C₆₇	—	4	2	no	—
731	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
732	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
733	C₂⁴×C₆₇	C₂⁴	1	4	yes	—
734	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
735	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
736	C₂×Q₈×C₆₇	—	4	2	no	—
737	C₂×Q₈×C₆₇	C₂⁴	1	4	yes	—
738	C₂×D₄×C₆₇	—	2	4	no	—
739	C₂×D₄×C₆₇	—	2	4	no	—
740	C₂×D₄×C₆₇	—	4	2	no	—
741	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
742	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
743	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
744	C₂²×C₄×C₆₇	—	2	4	no	—
745	C₂²×C₄×C₆₇	—	2	4	no	—
746	C₂²×C₄×C₆₇	—	4	2	no	—
747	C₂²×C₄×C₆₇	—	4	2	no	—
748	C₂²×C₄×C₆₇	—	4	2	no	—
749	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
750	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
751	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
752	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
753	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
754	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
755	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
756	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
757	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
758	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
759	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
760	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
761	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
762	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
763	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
764	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
765	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
766	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
767	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
768	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
769	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
770	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
771	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
772	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
773	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
774	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
775	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
776	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
777	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
778	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
779	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
780	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
781	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
782	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
783	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
784	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
785	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
786	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
787	C₄²×C₆₇	C₂⁴	1	4	yes	—
788	C₄²×C₆₇	C₂⁴	1	4	yes	—
789	C₄²×C₆₇	C₂⁴	1	4	yes	—
790	C₂³×C₆₇	—	2	2	no	—
791	C₂³×C₆₇	—	2	2	no	—
792	C₂³×C₆₇	—	2	2	no	—
793	C₂³×C₆₇	—	2	2	no	—
794	C₂³×C₆₇	—	2	2	no	—
795	C₂³×C₆₇	—	2	8	no	—
796	C₂³×C₆₇	—	2	2	no	—
797	C₂³×C₆₇	—	2	2	no	—
798	C₂³×C₆₇	—	2	2	no	—
799	C₂³×C₆₇	—	2	2	no	—
800	C₂³×C₆₇	—	2	8	no	—
801	C₂³×C₆₇	—	2	2	no	—
802	C₂³×C₆₇	—	4	4	no	—
803	C₂³×C₆₇	—	4	16	no	—
804	C₂³×C₆₇	C₂×#41	1	4	yes	—
805	C₂³×C₆₇	2₋¹⁺⁴	1	4	yes	—
806	C₂³×C₆₇	C₂⁵	1	2	yes	—
807	C₂³×C₆₇	C₂⁵	1	2	yes	—
808	C₂³×C₆₇	C₂⁵	1	2	yes	—
809	C₂³×C₆₇	C₂⁵	1	2	yes	—
810	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
811	C₂²×D₆₇	—	2	2	no	—
812	C₂²×D₆₇	—	2	2	no	—
813	C₂²×D₆₇	—	2	2	no	—
814	C₂²×D₆₇	—	2	2	no	—
815	C₂²×D₆₇	—	2	2	no	—
816	C₂²×D₆₇	—	2	2	no	—
817	C₂²×D₆₇	—	2	2	no	—
818	C₂²×D₆₇	—	2	8	no	—
819	C₂²×D₆₇	—	2	2	no	—
820	C₂²×D₆₇	—	2	8	no	—
821	C₂²×D₆₇	—	4	4	no	—
822	C₂²×D₆₇	—	4	16	no	—
823	C₂²×D₆₇	C₂×#41	1	4	yes	—
824	C₂²×D₆₇	C₂⁵	1	2	yes	—
825	C₂²×D₆₇	C₂⁵	1	2	yes	—
826	C₂²×D₆₇	C₂⁵	1	2	yes	—
827	Q₈×C₆₇	—	4	4	no	—
828	D₄×C₆₇	—	2	8	no	—
829	D₄×C₆₇	—	2	8	no	—
830	D₄×C₆₇	—	4	4	no	—
831	C₂×C₄×C₆₇	—	2	2	no	—
832	C₂×C₄×C₆₇	—	2	2	no	—
833	C₂×C₄×C₆₇	—	2	8	no	—
834	C₂×C₄×C₆₇	—	2	2	no	—
835	C₂×C₄×C₆₇	—	2	2	no	—
836	C₂×C₄×C₆₇	—	2	2	no	—
837	C₂×C₄×C₆₇	—	2	2	no	—
838	C₂×C₄×C₆₇	—	2	2	no	—
839	C₂×C₄×C₆₇	—	2	2	no	—
840	C₂×C₄×C₆₇	—	2	8	no	—
841	C₂×C₄×C₆₇	—	2	2	no	—
842	C₂×C₄×C₆₇	—	2	2	no	—
843	C₂×C₄×C₆₇	—	2	2	no	—
844	C₂×C₄×C₆₇	—	4	4	no	—
845	C₂×C₄×C₆₇	—	4	4	no	—
846	C₂×C₄×C₆₇	—	4	4	no	—
847	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
848	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
849	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
850	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
851	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
852	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
853	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
854	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
855	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
856	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
857	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
858	C₂²⋊D₆₇	—	2	8	no	—
859	C₂²⋊D₆₇	—	2	8	no	—
860	C₂²⋊D₆₇	—	2	8	no	—
861	C₂²⋊D₆₇	—	2	8	no	—
862	C₂²⋊D₆₇	—	2	8	no	—
863	C₂²⋊D₆₇	—	2	8	no	—
864	C₂²⋊D₆₇	—	2	8	no	—
865	C₂²⋊D₆₇	—	4	4	no	—
866	C₂²⋊D₆₇	—	4	4	no	—
867	C₂²⋊D₆₇	C₂×#41	1	16	yes	complemented
868	C₂×Dic₆₇	—	2	2	no	—
869	C₂×Dic₆₇	—	2	2	no	—
870	C₂×Dic₆₇	—	2	2	no	—
871	C₂×Dic₆₇	—	2	2	no	—
872	C₂×Dic₆₇	—	2	8	no	—
873	C₂×Dic₆₇	—	2	2	no	—
874	C₂×Dic₆₇	—	2	2	no	—
875	C₂×Dic₆₇	—	2	2	no	—
876	C₂×Dic₆₇	—	2	2	no	—
877	C₂×Dic₆₇	—	2	2	no	—
878	C₂×Dic₆₇	—	2	2	no	—
879	C₂×Dic₆₇	—	2	2	no	—
880	C₂×Dic₆₇	—	2	8	no	—
881	C₂×Dic₆₇	—	2	8	no	—
882	C₂×Dic₆₇	—	2	8	no	—
883	C₂×Dic₆₇	—	2	8	no	—
884	C₂×Dic₆₇	—	2	8	no	—
885	C₂×Dic₆₇	—	4	4	no	—
886	C₂×Dic₆₇	—	4	4	no	—
887	C₂×Dic₆₇	—	4	4	no	—
888	C₂×Dic₆₇	—	4	4	no	—
889	C₂×Dic₆₇	—	4	4	no	—
890	C₂×Dic₆₇	C₂×#41	1	4	yes	—
891	C₂×Dic₆₇	H(5,𝔽₂)	1	4	yes	—
892	C₂×Dic₆₇	C₂⁵	1	2	yes	—
893	C₂×Dic₆₇	C₂⁵	1	2	yes	—
894	C₂×Dic₆₇	C₂⁵	1	2	yes	—
895	C₂×Dic₆₇	C₂⁵	1	2	yes	—
896	C₂×Dic₆₇	C₂⁵	1	2	yes	—
897	C₂×Dic₆₇	C₂⁵	1	2	yes	—
898	C₂×Dic₆₇	C₂⁵	1	2	yes	—
899	C₂×Dic₆₇	C₂⁵	1	2	yes	—
900	C₂×Dic₆₇	C₂⁵	1	2	yes	—
901	C₂×Dic₆₇	C₂⁵	1	2	yes	—
902	C₂×Dic₆₇	C₂⁵	1	2	yes	—
903	C₂×Dic₆₇	C₂⁵	1	2	yes	—
904	C₂×Dic₆₇	C₂⁵	1	2	yes	—
905	D₂₆₈	—	2	8	no	—
906	D₂₆₈	—	4	4	no	—
907	C₄×D₆₇	—	2	8	no	—
908	C₄×D₆₇	—	2	8	no	—
909	C₄×D₆₇	—	2	8	no	—
910	C₄×D₆₇	—	2	8	no	—
911	C₄×D₆₇	—	2	8	no	—
912	C₄×D₆₇	—	4	4	no	—
913	C₄×D₆₇	—	4	4	no	—
914	C₄×D₆₇	—	4	4	no	—
915	C₄×D₆₇	—	4	4	no	—
916	C₄×D₆₇	—	4	4	no	—
917	C₄×D₆₇	—	4	4	no	—
918	Dic₁₃₄	—	2	8	no	—
919	Dic₁₃₄	—	2	8	no	—
920	Dic₁₃₄	—	2	8	no	—
921	Dic₁₃₄	—	2	8	no	—
922	Dic₁₃₄	—	2	8	no	—
923	Dic₁₃₄	—	4	4	no	—
924	Dic₁₃₄	—	4	4	no	—
925	Dic₁₃₄	—	4	4	no	—
926	C₂²×C₆₇	—	2	2	no	—
927	C₂²×C₆₇	—	2	2	no	—
928	C₂²×C₆₇	—	2	2	no	—
929	C₂²×C₆₇	—	2	2	no	—
930	C₂²×C₆₇	—	2	8	no	—
931	C₂²×C₆₇	—	2	8	no	—
932	C₂²×C₆₇	—	2	2	no	—
933	C₂²×C₆₇	—	2	2	no	—
934	C₂²×C₆₇	—	2	2	no	—
935	C₂²×C₆₇	—	2	2	no	—
936	C₂²×C₆₇	—	2	2	no	—
937	C₂²×C₆₇	—	2	2	no	—
938	C₂²×C₆₇	—	4	16	no	—
939	C₂²×C₆₇	—	4	4	no	—
940	C₂²×C₆₇	—	4	4	no	—
941	C₂²×C₆₇	C₂²×#41	1	4	yes	—
942	C₂²×C₆₇	C₂²×#41	1	2	yes	—
943	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
944	C₂²×C₆₇	C₂×2₋¹⁺⁴	1	4	yes	—
945	C₂²×C₆₇	C₂×2₋¹⁺⁴	1	2	yes	—
946	C₂²×C₆₇	C₂⁶	1	1	yes	characteristic
947	C₂×D₆₇	—	2	2	no	—
948	C₂×D₆₇	—	2	2	no	—
949	C₂×D₆₇	—	2	8	no	—
950	C₂×D₆₇	—	2	2	no	—
951	C₂×D₆₇	—	2	2	no	—
952	C₂×D₆₇	—	2	2	no	—
953	C₂×D₆₇	—	2	2	no	—
954	C₂×D₆₇	—	2	2	no	—
955	C₂×D₆₇	—	2	2	no	—
956	C₂×D₆₇	—	4	16	no	—
957	C₂×D₆₇	—	4	4	no	—
958	C₂×D₆₇	—	4	4	no	—
959	C₂×D₆₇	C₂²×#41	1	4	yes	—
960	C₄×C₆₇	—	2	2	no	—
961	C₄×C₆₇	—	2	2	no	—
962	C₄×C₆₇	—	2	2	no	—
963	C₄×C₆₇	—	2	2	no	—
964	C₄×C₆₇	—	2	2	no	—
965	C₄×C₆₇	—	2	2	no	—
966	C₄×C₆₇	—	2	2	no	—
967	C₄×C₆₇	—	2	2	no	—
968	C₄×C₆₇	—	2	2	no	—
969	C₄×C₆₇	—	2	2	no	—
970	C₄×C₆₇	—	2	2	no	—
971	Dic₆₇	—	2	2	no	—
972	Dic₆₇	—	2	2	no	—
973	Dic₆₇	—	2	2	no	—
974	Dic₆₇	—	2	2	no	—
975	Dic₆₇	—	2	2	no	—
976	Dic₆₇	—	2	2	no	—
977	Dic₆₇	—	2	2	no	—
978	Dic₆₇	—	2	2	no	—
979	Dic₆₇	—	2	2	no	—
980	Dic₆₇	—	2	2	no	—
981	Dic₆₇	—	2	2	no	—
982	Dic₆₇	C₂²×#41	1	4	yes	—
983	Dic₆₇	C₂×H(5,𝔽₂)	1	4	yes	—
984	C₂×#3520	—	67	1	no	maximal, Sylow
985	C₂×C₆₇	—	2	4	no	—
986	C₂×C₆₇	—	2	4	no	—
987	C₂×C₆₇	—	4	2	no	—
988	C₂×C₆₇	—	4	2	no	—
989	C₂×C₆₇	#3520	1	4	yes	complemented
990	C₂×C₆₇	C₂³×#41	1	1	yes	characteristic
991	C₂×C₆₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
992	C₂×C₆₇	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
993	D₆₇	—	2	4	no	—
994	D₆₇	—	4	2	no	—
995	D₆₇	—	4	2	no	—
996	#3520	—	67	32	no	—
997	C₂×#556	—	67	1	no	—
998	C₂×#554	—	67	1	no	—
999	C₂×#554	—	67	1	no	—
1000	C₂×#552	—	67	1	no	—
1001	C₂×#552	—	67	1	no	—
1002	C₂×#551	—	67	1	no	—
1003	C₂×#551	—	67	1	no	—
1004	C₂×#551	—	67	1	no	—
1005	C₂×#551	D₆₇	1	1	yes	characteristic, complemented
1006	C₂×D₄×Q₈	—	67	1	no	—
1007	C₂×#548	—	67	1	no	—
1008	C₂×#548	—	67	1	no	—
1009	C₂×#547	—	67	1	no	—
1010	C₂×#547	—	67	1	no	—
1011	C₂×#546	—	67	1	no	—
1012	C₂×#546	—	67	1	no	—
1013	C₂×#542	—	67	1	no	—
1014	C₂×#542	—	67	1	no	—
1015	C₂×#539	—	67	1	no	—
1016	C₂×#539	—	67	1	no	—
1017	C₂×#539	—	67	1	no	—
1018	C₂×#539	—	67	1	no	—
1019	C₂×#533	—	67	1	no	—
1020	C₂×#529	—	67	1	no	—
1021	C₂×#525	—	67	1	no	—
1022	C₂×#525	—	67	1	no	—
1023	C₂²×C₂²⋊Q₈	—	67	1	no	—
1024	C₂²×C₂²⋊Q₈	—	67	1	no	—
1025	C₂×#520	—	67	1	no	—
1026	C₂×#520	—	67	1	no	—
1027	C₂²×C₄×D₄	—	67	1	no	—
1028	C₆₇	C₂×#3520	1	1	yes	characteristic, complemented, Sylow
1029	C₂²×#41	—	67	1	no	—
1030	C₂²×#41	—	67	1	no	—
1031	C₂²×#41	—	67	1	no	—
1032	C₂²×#41	—	67	1	no	—
1033	C₂³×Q₈	—	67	1	no	—
1034	C₂³×Q₈	—	67	1	no	—
1035	C₂³×D₄	—	67	1	no	—
1036	C₂⁴×C₄	—	67	1	no	—
1037	C₂⁴×C₄	—	67	1	no	—
1038	#556	—	67	16	no	—
1039	#554	—	67	16	no	—
1040	#554	—	67	16	no	—
1041	#552	—	67	16	no	—
1042	#552	—	67	16	no	—
1043	#551	—	67	16	no	—
1044	#551	—	67	16	no	—
1045	#551	—	67	16	no	—
1046	#551	C₂×D₆₇	1	16	yes	complemented
1047	D₄×Q₈	—	67	16	no	—
1048	#548	—	67	16	no	—
1049	#548	—	67	16	no	—
1050	#547	—	67	16	no	—
1051	#547	—	67	16	no	—
1052	#546	—	67	16	no	—
1053	#546	—	67	16	no	—
1054	#542	—	67	16	no	—
1055	#542	—	67	16	no	—
1056	#539	—	67	16	no	—
1057	#539	—	67	16	no	—
1058	#539	—	67	16	no	—
1059	#539	—	67	16	no	—
1060	#533	—	67	16	no	—
1061	C₂×C₄⋊Q₈	—	67	1	no	—
1062	C₂×C₄⋊Q₈	—	67	1	no	—
1063	C₂×C₄⋊Q₈	—	67	1	no	—
1064	C₂×C₄⋊Q₈	—	67	1	no	—
1065	#529	—	67	16	no	—
1066	C₂×#126	—	67	1	no	—
1067	C₂×#126	—	67	1	no	—
1068	C₂×#126	—	67	1	no	—
1069	C₂×#126	—	67	1	no	—
1070	C₂×#126	—	67	1	no	—
1071	C₂×#126	—	67	1	no	—
1072	C₂×#126	—	67	1	no	—
1073	C₂×#126	—	67	1	no	—
1074	C₂×#126	C₂×D₆₇	1	1	yes	characteristic, complemented
1075	C₂×#126	C₂×D₆₇	1	1	yes	characteristic, complemented
1076	C₂×#125	—	67	1	no	—
1077	C₂×#125	—	67	1	no	—
1078	C₂×#125	—	67	1	no	—
1079	C₂×#125	—	67	1	no	—
1080	C₂×#125	—	67	1	no	—
1081	C₂×#125	—	67	1	no	—
1082	C₂×#125	—	67	1	no	—
1083	C₂×#124	—	67	1	no	—
1084	C₂×#124	—	67	1	no	—
1085	C₂×#124	—	67	1	no	—
1086	C₂×#124	—	67	1	no	—
1087	C₂×#124	—	67	1	no	—
1088	C₂×#124	—	67	1	no	—
1089	C₂×#124	C₂×D₆₇	1	1	yes	characteristic, complemented
1090	#525	—	67	16	no	—
1091	#525	—	67	16	no	—
1092	C₂×#123	—	67	1	no	—
1093	C₂×#123	—	67	1	no	—
1094	C₂×#123	—	67	1	no	—
1095	C₂×#123	—	67	1	no	—
1096	C₂×#123	—	67	1	no	—
1097	C₂×#123	—	67	1	no	—
1098	C₂×#123	—	67	1	no	—
1099	C₂×#123	—	67	1	no	—
1100	C₂×#123	—	67	1	no	—
1101	C₂×#123	—	67	1	no	—
1102	C₂×#123	—	67	1	no	—
1103	C₂×#123	—	67	1	no	—
1104	C₂×#123	—	67	1	no	—
1105	C₂×#123	—	67	1	no	—
1106	C₂×#123	—	67	1	no	—
1107	C₂×#123	C₂×D₆₇	1	1	yes	characteristic
1108	C₂×#123	C₂×D₆₇	1	1	yes	characteristic, complemented
1109	C₂×#123	C₂×D₆₇	1	1	yes	characteristic, complemented
1110	C₂×C₂²⋊Q₈	—	67	1	no	—
1111	C₂×C₂²⋊Q₈	—	67	1	no	—
1112	C₂×C₂²⋊Q₈	—	67	1	no	—
1113	C₂×C₂²⋊Q₈	—	67	1	no	—
1114	C₂×C₂²⋊Q₈	—	67	16	no	—
1115	C₂×C₂²⋊Q₈	—	67	1	no	—
1116	C₂×C₂²⋊Q₈	—	67	1	no	—
1117	C₂×C₂²⋊Q₈	—	67	1	no	—
1118	C₂×C₂²⋊Q₈	—	67	1	no	—
1119	C₂×C₂²⋊Q₈	—	67	1	no	—
1120	C₂×C₂²⋊Q₈	—	67	1	no	—
1121	C₂×C₂²⋊Q₈	—	67	1	no	—
1122	C₂×C₂²⋊Q₈	—	67	1	no	—
1123	C₂×C₂²⋊Q₈	—	67	1	no	—
1124	C₂×C₂²⋊Q₈	—	67	1	no	—
1125	C₂×C₂²⋊Q₈	—	67	1	no	—
1126	C₂×C₂²⋊Q₈	—	67	1	no	—
1127	C₂×C₂²⋊Q₈	—	67	1	no	—
1128	C₂×C₂²⋊Q₈	—	67	1	no	—
1129	C₂×C₂²⋊Q₈	—	67	1	no	—
1130	C₂×C₂²⋊Q₈	—	67	1	no	—
1131	C₂×C₂²⋊Q₈	—	67	1	no	—
1132	C₂×C₂²⋊Q₈	—	67	16	no	—
1133	C₂×C₂²⋊Q₈	—	67	1	no	—
1134	C₂×C₂²⋊Q₈	—	67	1	no	—
1135	C₂×C₂²⋊Q₈	—	67	1	no	—
1136	C₂×C₂²⋊Q₈	—	67	1	no	—
1137	C₂×C₂²⋊Q₈	—	67	1	no	—
1138	C₂×C₂²⋊Q₈	—	67	1	no	—
1139	C₂×C₂²⋊Q₈	C₂×D₆₇	1	1	yes	characteristic
1140	C₂×C₂²⋊Q₈	C₂×D₆₇	1	1	yes	characteristic, complemented
1141	C₂×#121	—	67	1	no	—
1142	C₂×#121	—	67	1	no	—
1143	C₂×#121	—	67	1	no	—
1144	C₂×#121	—	67	1	no	—
1145	C₂×#121	—	67	1	no	—
1146	C₂×#121	—	67	1	no	—
1147	C₂×#121	—	67	1	no	—
1148	C₂×#121	—	67	1	no	—
1149	C₂×#121	—	67	1	no	—
1150	C₂×#120	—	67	1	no	—
1151	C₂×#120	—	67	1	no	—
1152	C₂×#120	—	67	1	no	—
1153	C₂×#120	C₂×D₆₇	1	1	yes	characteristic
1154	#520	—	67	16	no	—
1155	#520	—	67	16	no	—
1156	C₂×C₄×Q₈	—	67	1	no	—
1157	C₂×C₄×Q₈	—	67	1	no	—
1158	C₂×C₄×Q₈	—	67	1	no	—
1159	C₂×C₄×Q₈	—	67	1	no	—
1160	C₂×C₄×Q₈	—	67	1	no	—
1161	C₂×C₄×Q₈	—	67	1	no	—
1162	C₂×C₄×Q₈	—	67	1	no	—
1163	C₂×C₄×D₄	—	67	1	no	—
1164	C₂×C₄×D₄	—	67	1	no	—
1165	C₂×C₄×D₄	—	67	1	no	—
1166	C₂×C₄×D₄	—	67	1	no	—
1167	C₂×C₄×D₄	—	67	1	no	—
1168	C₂×C₄×D₄	—	67	1	no	—
1169	C₂×C₄×D₄	—	67	1	no	—
1170	C₂×C₄×D₄	—	67	1	no	—
1171	C₂×C₄×D₄	—	67	1	no	—
1172	C₂×C₄×D₄	—	67	1	no	—
1173	C₂×C₄×D₄	—	67	1	no	—
1174	C₂×C₄×D₄	—	67	1	no	—
1175	C₂×C₄×D₄	—	67	1	no	—
1176	C₂×C₄×D₄	—	67	1	no	—
1177	C₂×C₄×D₄	—	67	16	no	—
1178	C₂×C₄×D₄	—	67	1	no	—
1179	C₂×C₄×D₄	—	67	1	no	—
1180	C₂×C₄×D₄	—	67	1	no	—
1181	C₂×C₄×D₄	—	67	1	no	—
1182	C₂×C₄×D₄	—	67	1	no	—
1183	C₂×C₄×D₄	—	67	1	no	—
1184	C₂×C₄×D₄	—	67	1	no	—
1185	C₂×C₄×D₄	—	67	1	no	—
1186	C₂×C₄×D₄	—	67	1	no	—
1187	C₂×C₄×D₄	C₂×D₆₇	1	1	yes	characteristic
1188	C₂×C₄×D₄	C₂×D₆₇	1	1	yes	characteristic, complemented
1189	C₂×#117	—	67	1	no	—
1190	C₂×#117	—	67	1	no	—
1191	C₂×#117	—	67	1	no	—
1192	C₂×#117	—	67	1	no	—
1193	C₂×#117	—	67	1	no	—
1194	C₂×#117	—	67	1	no	—
1195	C₂×#117	—	67	1	no	—
1196	C₂×#117	—	67	1	no	—
1197	C₂×#117	C₂×D₆₇	1	1	yes	characteristic
1198	C₂×#117	C₂×D₆₇	1	1	yes	characteristic, complemented
1199	C₂²×C₄⋊C₄	—	67	1	no	—
1200	C₂²×C₄⋊C₄	—	67	1	no	—
1201	C₂²×C₄⋊C₄	—	67	1	no	—
1202	C₂²×C₄⋊C₄	—	67	1	no	—
1203	C₂²×C₄⋊C₄	—	67	1	no	—
1204	C₂²×C₄⋊C₄	—	67	1	no	—
1205	C₂²×C₄⋊C₄	—	67	1	no	—
1206	C₂²×C₄⋊C₄	—	67	1	no	—
1207	C₂²×C₄⋊C₄	—	67	1	no	—
1208	C₂²×C₂²⋊C₄	—	67	1	no	—
1209	C₂²×C₂²⋊C₄	—	67	1	no	—
1210	C₂²×C₂²⋊C₄	—	67	1	no	—
1211	C₂²×C₂²⋊C₄	—	67	1	no	—
1212	C₂²×C₂²⋊C₄	C₂×D₆₇	1	1	yes	characteristic
1213	C₂²×C₂²⋊C₄	C₂×D₆₇	1	1	yes	characteristic
1214	C₂²×C₄²	—	67	1	no	—
1215	C₂⁵	—	67	1	no	—
1216	C₂⁵	C₂²×D₆₇	1	1	yes	characteristic
1217	C₂×#41	—	268	4	no	—
1218	C₂×#41	—	268	4	no	—
1219	C₂×#41	—	67	8	no	—
1220	C₂×#41	—	67	8	no	—
1221	C₂×#41	—	67	8	no	—
1222	C₂×#41	—	67	8	no	—
1223	C₂×#41	—	134	8	no	—
1224	C₂×#41	—	134	8	no	—
1225	C₂²×Q₈	—	268	4	no	—
1226	C₂²×Q₈	—	268	4	no	—
1227	C₂²×Q₈	—	67	8	no	—
1228	C₂²×Q₈	—	67	1	no	—
1229	C₂²×Q₈	—	67	1	no	—
1230	C₂²×Q₈	—	67	1	no	—
1231	C₂²×Q₈	—	67	8	no	—
1232	C₂²×Q₈	—	67	1	no	—
1233	C₂²×Q₈	—	67	1	no	—
1234	C₂²×Q₈	—	67	1	no	—
1235	C₂²×Q₈	—	67	1	no	—
1236	C₂²×Q₈	—	67	1	no	—
1237	C₂²×Q₈	C₂²×D₆₇	1	1	yes	characteristic
1238	C₂²×D₄	—	67	1	no	—
1239	C₂²×D₄	—	67	1	no	—
1240	C₂²×D₄	—	67	1	no	—
1241	C₂²×D₄	—	67	1	no	—
1242	C₂²×D₄	—	67	1	no	—
1243	C₂²×D₄	—	67	1	no	—
1244	C₂²×D₄	—	67	1	no	—
1245	C₂²×D₄	—	67	1	no	—
1246	C₂²×D₄	—	67	1	no	—
1247	C₂²×D₄	—	67	8	no	—
1248	C₂²×D₄	—	67	1	no	—
1249	C₂²×D₄	—	67	1	no	—
1250	C₂²×D₄	—	67	1	no	—
1251	C₂²×D₄	—	134	8	no	—
1252	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1253	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1254	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1255	C₂³×C₄	—	268	4	no	—
1256	C₂³×C₄	—	268	4	no	—
1257	C₂³×C₄	—	67	1	no	—
1258	C₂³×C₄	—	67	1	no	—
1259	C₂³×C₄	—	67	1	no	—
1260	C₂³×C₄	—	67	1	no	—
1261	C₂³×C₄	—	67	1	no	—
1262	C₂³×C₄	—	67	8	no	—
1263	C₂³×C₄	—	67	1	no	—
1264	C₂³×C₄	—	67	1	no	—
1265	C₂³×C₄	—	67	1	no	—
1266	C₂³×C₄	—	67	1	no	—
1267	C₂³×C₄	—	67	1	no	—
1268	C₂³×C₄	—	67	1	no	—
1269	C₂³×C₄	—	67	8	no	—
1270	C₂³×C₄	—	67	1	no	—
1271	C₂³×C₄	—	67	1	no	—
1272	C₂³×C₄	—	67	1	no	—
1273	C₂³×C₄	—	67	1	no	—
1274	C₂³×C₄	—	67	1	no	—
1275	C₂³×C₄	—	67	1	no	—
1276	C₂³×C₄	—	67	1	no	—
1277	C₂³×C₄	—	67	1	no	—
1278	C₂³×C₄	—	67	1	no	—
1279	C₂³×C₄	—	67	1	no	—
1280	C₂³×C₄	—	67	1	no	—
1281	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1282	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1283	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1284	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1285	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1286	C₄⋊Q₈	—	67	8	no	—
1287	C₄⋊Q₈	—	67	8	no	—
1288	C₄⋊Q₈	—	67	8	no	—
1289	C₄⋊Q₈	—	67	8	no	—
1290	#126	—	67	8	no	—
1291	#126	—	67	8	no	—
1292	#126	—	67	8	no	—
1293	#126	—	67	8	no	—
1294	#126	—	67	8	no	—
1295	#126	—	67	8	no	—
1296	#126	—	67	8	no	—
1297	#126	—	67	8	no	—
1298	#126	C₂²×D₆₇	1	8	yes	complemented
1299	#126	C₂²×D₆₇	1	8	yes	complemented
1300	#125	—	67	8	no	—
1301	#125	—	67	8	no	—
1302	#125	—	67	8	no	—
1303	#125	—	67	8	no	—
1304	#125	—	67	8	no	—
1305	#125	—	67	8	no	—
1306	#125	—	67	8	no	—
1307	#124	—	67	8	no	—
1308	#124	—	67	8	no	—
1309	#124	—	67	8	no	—
1310	#124	—	67	8	no	—
1311	#124	—	67	8	no	—
1312	#124	—	67	8	no	—
1313	#124	C₂²×D₆₇	1	8	yes	complemented
1314	#123	—	67	8	no	—
1315	#123	—	67	8	no	—
1316	#123	—	67	8	no	—
1317	#123	—	67	8	no	—
1318	#123	—	67	8	no	—
1319	#123	—	67	8	no	—
1320	#123	—	67	8	no	—
1321	#123	—	67	8	no	—
1322	#123	—	67	8	no	—
1323	#123	—	67	8	no	—
1324	#123	—	67	8	no	—
1325	#123	—	67	8	no	—
1326	#123	—	67	8	no	—
1327	#123	—	67	8	no	—
1328	#123	—	67	8	no	—
1329	#123	C₂²×D₆₇	1	8	yes	—
1330	#123	C₂²×D₆₇	1	8	yes	complemented
1331	#123	C₂²×D₆₇	1	8	yes	complemented
1332	C₂²⋊Q₈	—	67	8	no	—
1333	C₂²⋊Q₈	—	67	8	no	—
1334	C₂²⋊Q₈	—	67	8	no	—
1335	C₂²⋊Q₈	—	67	8	no	—
1336	C₂²⋊Q₈	—	67	8	no	—
1337	C₂²⋊Q₈	—	67	8	no	—
1338	C₂²⋊Q₈	—	67	8	no	—
1339	C₂²⋊Q₈	—	67	8	no	—
1340	C₂²⋊Q₈	—	67	8	no	—
1341	C₂²⋊Q₈	—	67	8	no	—
1342	C₂²⋊Q₈	—	67	8	no	—
1343	C₂²⋊Q₈	—	67	8	no	—
1344	C₂²⋊Q₈	—	67	8	no	—
1345	C₂²⋊Q₈	—	67	8	no	—
1346	C₂²⋊Q₈	—	67	8	no	—
1347	C₂²⋊Q₈	—	67	8	no	—
1348	C₂²⋊Q₈	—	67	8	no	—
1349	C₂²⋊Q₈	—	67	8	no	—
1350	C₂²⋊Q₈	—	67	8	no	—
1351	C₂²⋊Q₈	—	67	8	no	—
1352	C₂²⋊Q₈	—	67	8	no	—
1353	C₂²⋊Q₈	—	67	8	no	—
1354	C₂²⋊Q₈	—	67	8	no	—
1355	C₂²⋊Q₈	—	67	8	no	—
1356	C₂²⋊Q₈	—	67	8	no	—
1357	C₂²⋊Q₈	—	67	8	no	—
1358	C₂²⋊Q₈	—	67	8	no	—
1359	C₂²⋊Q₈	C₂²×D₆₇	1	8	yes	—
1360	C₂²⋊Q₈	C₂²×D₆₇	1	8	yes	complemented
1361	#121	—	67	8	no	—
1362	#121	—	67	8	no	—
1363	#121	—	67	8	no	—
1364	#121	—	67	8	no	—
1365	#121	—	67	8	no	—
1366	#121	—	67	8	no	—
1367	#121	—	67	8	no	—
1368	#121	—	67	8	no	—
1369	#121	—	67	8	no	—
1370	#120	—	67	8	no	—
1371	#120	—	67	8	no	—
1372	#120	—	67	8	no	—
1373	#120	C₂²×D₆₇	1	8	yes	—
1374	C₄×Q₈	—	67	8	no	—
1375	C₄×Q₈	—	67	8	no	—
1376	C₄×Q₈	—	67	8	no	—
1377	C₄×Q₈	—	67	8	no	—
1378	C₄×Q₈	—	67	8	no	—
1379	C₄×Q₈	—	67	8	no	—
1380	C₄×Q₈	—	67	8	no	—
1381	C₄×D₄	—	67	8	no	—
1382	C₄×D₄	—	67	8	no	—
1383	C₄×D₄	—	67	8	no	—
1384	C₄×D₄	—	67	8	no	—
1385	C₄×D₄	—	67	8	no	—
1386	C₄×D₄	—	67	8	no	—
1387	C₄×D₄	—	67	8	no	—
1388	C₄×D₄	—	67	8	no	—
1389	C₄×D₄	—	67	8	no	—
1390	C₄×D₄	—	67	8	no	—
1391	C₄×D₄	—	67	8	no	—
1392	C₄×D₄	—	67	8	no	—
1393	C₄×D₄	—	67	8	no	—
1394	C₄×D₄	—	67	8	no	—
1395	C₄×D₄	—	67	8	no	—
1396	C₄×D₄	—	67	8	no	—
1397	C₄×D₄	—	67	8	no	—
1398	C₄×D₄	—	67	8	no	—
1399	C₄×D₄	—	67	8	no	—
1400	C₄×D₄	—	67	8	no	—
1401	C₄×D₄	—	67	8	no	—
1402	C₄×D₄	—	67	8	no	—
1403	C₄×D₄	—	67	8	no	—
1404	C₄×D₄	C₂²×D₆₇	1	8	yes	—
1405	C₄×D₄	C₂²×D₆₇	1	8	yes	complemented
1406	#117	—	67	8	no	—
1407	#117	—	67	8	no	—
1408	#117	—	67	8	no	—
1409	#117	—	67	8	no	—
1410	#117	—	67	8	no	—
1411	#117	—	67	8	no	—
1412	#117	—	67	8	no	—
1413	#117	—	67	8	no	—
1414	#117	C₂²×D₆₇	1	8	yes	—
1415	#117	C₂²×D₆₇	1	8	yes	complemented
1416	C₂×C₄⋊C₄	—	67	1	no	—
1417	C₂×C₄⋊C₄	—	67	1	no	—
1418	C₂×C₄⋊C₄	—	67	1	no	—
1419	C₂×C₄⋊C₄	—	67	1	no	—
1420	C₂×C₄⋊C₄	—	67	1	no	—
1421	C₂×C₄⋊C₄	—	67	1	no	—
1422	C₂×C₄⋊C₄	—	67	1	no	—
1423	C₂×C₄⋊C₄	—	67	1	no	—
1424	C₂×C₄⋊C₄	—	67	1	no	—
1425	C₂×C₄⋊C₄	—	67	1	no	—
1426	C₂×C₄⋊C₄	—	67	1	no	—
1427	C₂×C₄⋊C₄	—	67	1	no	—
1428	C₂×C₄⋊C₄	—	67	8	no	—
1429	C₂×C₄⋊C₄	—	67	1	no	—
1430	C₂×C₄⋊C₄	—	67	1	no	—
1431	C₂×C₄⋊C₄	—	67	1	no	—
1432	C₂×C₄⋊C₄	—	67	1	no	—
1433	C₂×C₄⋊C₄	—	67	1	no	—
1434	C₂×C₄⋊C₄	—	67	1	no	—
1435	C₂×C₄⋊C₄	—	67	1	no	—
1436	C₂×C₄⋊C₄	—	67	1	no	—
1437	C₂×C₄⋊C₄	—	67	1	no	—
1438	C₂×C₄⋊C₄	—	67	8	no	—
1439	C₂×C₄⋊C₄	—	67	8	no	—
1440	C₂×C₄⋊C₄	—	67	8	no	—
1441	C₂×C₄⋊C₄	—	67	1	no	—
1442	C₂×C₄⋊C₄	—	67	1	no	—
1443	C₂×C₄⋊C₄	—	67	1	no	—
1444	C₂×C₄⋊C₄	—	67	8	no	—
1445	C₂×C₄⋊C₄	—	67	1	no	—
1446	C₂×C₄⋊C₄	—	67	1	no	—
1447	C₂×C₄⋊C₄	—	67	1	no	—
1448	C₂×C₄⋊C₄	—	67	1	no	—
1449	C₂×C₄⋊C₄	—	67	1	no	—
1450	C₂×C₄⋊C₄	—	67	1	no	—
1451	C₂×C₄⋊C₄	—	67	1	no	—
1452	C₂×C₄⋊C₄	—	67	1	no	—
1453	C₂×C₄⋊C₄	—	67	1	no	—
1454	C₂×C₄⋊C₄	—	67	1	no	—
1455	C₂×C₄⋊C₄	—	67	1	no	—
1456	C₂×C₄⋊C₄	—	67	1	no	—
1457	C₂×C₄⋊C₄	—	67	1	no	—
1458	C₂×C₄⋊C₄	—	67	1	no	—
1459	C₂×C₄⋊C₄	—	67	8	no	—
1460	C₂×C₄⋊C₄	—	67	8	no	—
1461	C₂×C₄⋊C₄	—	67	8	no	—
1462	C₂×C₄⋊C₄	—	67	8	no	—
1463	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1464	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1465	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1466	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1467	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1468	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1469	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1470	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1471	C₂×C₂²⋊C₄	—	67	1	no	—
1472	C₂×C₂²⋊C₄	—	67	1	no	—
1473	C₂×C₂²⋊C₄	—	67	1	no	—
1474	C₂×C₂²⋊C₄	—	67	1	no	—
1475	C₂×C₂²⋊C₄	—	67	1	no	—
1476	C₂×C₂²⋊C₄	—	67	8	no	—
1477	C₂×C₂²⋊C₄	—	67	1	no	—
1478	C₂×C₂²⋊C₄	—	67	1	no	—
1479	C₂×C₂²⋊C₄	—	67	1	no	—
1480	C₂×C₂²⋊C₄	—	67	1	no	—
1481	C₂×C₂²⋊C₄	—	67	1	no	—
1482	C₂×C₂²⋊C₄	—	67	1	no	—
1483	C₂×C₂²⋊C₄	—	67	1	no	—
1484	C₂×C₂²⋊C₄	—	67	1	no	—
1485	C₂×C₂²⋊C₄	—	67	1	no	—
1486	C₂×C₂²⋊C₄	—	67	8	no	—
1487	C₂×C₂²⋊C₄	—	67	1	no	—
1488	C₂×C₂²⋊C₄	—	67	1	no	—
1489	C₂×C₂²⋊C₄	—	67	1	no	—
1490	C₂×C₂²⋊C₄	—	67	1	no	—
1491	C₂×C₂²⋊C₄	—	67	1	no	—
1492	C₂×C₂²⋊C₄	—	67	1	no	—
1493	C₂×C₂²⋊C₄	—	67	1	no	—
1494	C₂×C₂²⋊C₄	—	67	1	no	—
1495	C₂×C₂²⋊C₄	—	67	1	no	—
1496	C₂×C₂²⋊C₄	—	67	1	no	—
1497	C₂×C₂²⋊C₄	—	67	1	no	—
1498	C₂×C₂²⋊C₄	—	67	1	no	—
1499	C₂×C₂²⋊C₄	—	67	1	no	—
1500	C₂×C₂²⋊C₄	—	67	1	no	—
1501	C₂×C₂²⋊C₄	—	67	8	no	—
1502	C₂×C₂²⋊C₄	—	67	8	no	—
1503	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1504	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1505	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1506	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1507	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1508	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1509	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1510	C₂×C₂²⋊C₄	C₂²×D₆₇	1	8	yes	—
1511	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1512	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1513	C₂×C₂²⋊C₄	C₂²×D₆₇	1	8	yes	—
1514	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1515	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1516	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1517	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1518	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1519	C₂×C₄²	—	67	1	no	—
1520	C₂×C₄²	—	67	1	no	—
1521	C₂×C₄²	—	67	1	no	—
1522	C₂×C₄²	—	67	1	no	—
1523	C₂×C₄²	—	67	1	no	—
1524	C₂×C₄²	—	67	1	no	—
1525	C₂×C₄²	—	67	1	no	—
1526	C₂×C₄²	—	67	1	no	—
1527	C₂×C₄²	—	67	1	no	—
1528	C₂×C₄²	—	67	1	no	—
1529	C₂×C₄²	—	67	1	no	—
1530	C₂×C₄²	—	67	8	no	—
1531	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
1532	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
1533	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
1534	C₂⁴	—	2	4	no	—
1535	C₂⁴	—	2	4	no	—
1536	C₂⁴	—	4	2	no	—
1537	C₂⁴	—	268	2	no	—
1538	C₂⁴	—	67	4	no	—
1539	C₂⁴	—	67	1	no	—
1540	C₂⁴	—	67	1	no	—
1541	C₂⁴	—	67	1	no	—
1542	C₂⁴	—	134	4	no	—
1543	C₂⁴	—	134	4	no	—
1544	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1545	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1546	C₂⁴	C₂³×D₆₇	1	4	yes	—
1547	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1548	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1549	#41	—	268	16	no	—
1550	#41	—	268	16	no	—
1551	#41	—	134	32	no	—
1552	#41	—	134	32	no	—
1553	C₂×Q₈	—	4	2	no	—
1554	C₂×Q₈	—	268	2	no	—
1555	C₂×Q₈	—	268	2	no	—
1556	C₂×Q₈	—	268	2	no	—
1557	C₂×Q₈	—	268	16	no	—
1558	C₂×Q₈	—	268	16	no	—
1559	C₂×Q₈	—	67	4	no	—
1560	C₂×Q₈	—	67	4	no	—
1561	C₂×Q₈	—	67	4	no	—
1562	C₂×Q₈	—	67	4	no	—
1563	C₂×Q₈	—	67	4	no	—
1564	C₂×Q₈	—	67	4	no	—
1565	C₂×Q₈	—	67	4	no	—
1566	C₂×Q₈	—	67	4	no	—
1567	C₂×Q₈	—	134	4	no	—
1568	C₂×Q₈	—	134	4	no	—
1569	C₂×Q₈	—	134	4	no	—
1570	C₂×Q₈	—	134	4	no	—
1571	C₂×Q₈	—	134	4	no	—
1572	C₂×Q₈	C₂³×D₆₇	1	4	yes	—
1573	C₂×D₄	—	2	4	no	—
1574	C₂×D₄	—	2	4	no	—
1575	C₂×D₄	—	4	2	no	—
1576	C₂×D₄	—	268	2	no	—
1577	C₂×D₄	—	268	2	no	—
1578	C₂×D₄	—	268	2	no	—
1579	C₂×D₄	—	67	4	no	—
1580	C₂×D₄	—	67	4	no	—
1581	C₂×D₄	—	67	8	no	—
1582	C₂×D₄	—	67	4	no	—
1583	C₂×D₄	—	67	4	no	—
1584	C₂×D₄	—	67	4	no	—
1585	C₂×D₄	—	67	4	no	—
1586	C₂×D₄	—	67	4	no	—
1587	C₂×D₄	—	67	4	no	—
1588	C₂×D₄	—	67	4	no	—
1589	C₂×D₄	—	67	4	no	—
1590	C₂×D₄	—	67	4	no	—
1591	C₂×D₄	—	67	4	no	—
1592	C₂×D₄	—	134	4	no	—
1593	C₂×D₄	—	134	4	no	—
1594	C₂×D₄	—	134	4	no	—
1595	C₂×D₄	—	134	32	no	—
1596	C₂×D₄	—	134	4	no	—
1597	C₂×D₄	—	134	4	no	—
1598	C₂×D₄	—	134	4	no	—
1599	C₂×D₄	—	134	4	no	—
1600	C₂×D₄	—	134	4	no	—
1601	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1602	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1603	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1604	C₂²×C₄	—	2	4	no	—
1605	C₂²×C₄	—	2	4	no	—
1606	C₂²×C₄	—	4	2	no	—
1607	C₂²×C₄	—	4	2	no	—
1608	C₂²×C₄	—	4	2	no	—
1609	C₂²×C₄	—	268	2	no	—
1610	C₂²×C₄	—	268	2	no	—
1611	C₂²×C₄	—	268	2	no	—
1612	C₂²×C₄	—	268	2	no	—
1613	C₂²×C₄	—	268	2	no	—
1614	C₂²×C₄	—	268	2	no	—
1615	C₂²×C₄	—	268	16	no	—
1616	C₂²×C₄	—	268	2	no	—
1617	C₂²×C₄	—	268	2	no	—
1618	C₂²×C₄	—	268	2	no	—
1619	C₂²×C₄	—	268	2	no	—
1620	C₂²×C₄	—	268	2	no	—
1621	C₂²×C₄	—	268	16	no	—
1622	C₂²×C₄	—	67	4	no	—
1623	C₂²×C₄	—	67	4	no	—
1624	C₂²×C₄	—	67	4	no	—
1625	C₂²×C₄	—	67	4	no	—
1626	C₂²×C₄	—	67	4	no	—
1627	C₂²×C₄	—	67	4	no	—
1628	C₂²×C₄	—	67	4	no	—
1629	C₂²×C₄	—	67	4	no	—
1630	C₂²×C₄	—	67	4	no	—
1631	C₂²×C₄	—	67	4	no	—
1632	C₂²×C₄	—	67	4	no	—
1633	C₂²×C₄	—	67	1	no	—
1634	C₂²×C₄	—	67	1	no	—
1635	C₂²×C₄	—	67	4	no	—
1636	C₂²×C₄	—	67	4	no	—
1637	C₂²×C₄	—	67	4	no	—
1638	C₂²×C₄	—	67	4	no	—
1639	C₂²×C₄	—	67	4	no	—
1640	C₂²×C₄	—	67	4	no	—
1641	C₂²×C₄	—	67	1	no	—
1642	C₂²×C₄	—	67	1	no	—
1643	C₂²×C₄	—	67	1	no	—
1644	C₂²×C₄	—	67	1	no	—
1645	C₂²×C₄	—	67	1	no	—
1646	C₂²×C₄	—	67	1	no	—
1647	C₂²×C₄	—	67	1	no	—
1648	C₂²×C₄	—	67	1	no	—
1649	C₂²×C₄	—	67	1	no	—
1650	C₂²×C₄	—	67	1	no	—
1651	C₂²×C₄	—	67	1	no	—
1652	C₂²×C₄	—	67	4	no	—
1653	C₂²×C₄	—	67	4	no	—
1654	C₂²×C₄	—	67	4	no	—
1655	C₂²×C₄	—	67	4	no	—
1656	C₂²×C₄	—	67	4	no	—
1657	C₂²×C₄	—	134	4	no	—
1658	C₂²×C₄	—	134	4	no	—
1659	C₂²×C₄	—	134	4	no	—
1660	C₂²×C₄	—	134	4	no	—
1661	C₂²×C₄	—	134	4	no	—
1662	C₂²×C₄	—	134	4	no	—
1663	C₂²×C₄	—	134	4	no	—
1664	C₂²×C₄	—	134	4	no	—
1665	C₂²×C₄	—	134	4	no	—
1666	C₂²×C₄	—	134	4	no	—
1667	C₂²×C₄	—	134	4	no	—
1668	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1669	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1670	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1671	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1672	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1673	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1674	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1675	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1676	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1677	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1678	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1679	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1680	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1681	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1682	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1683	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1684	C₄⋊C₄	—	67	4	no	—
1685	C₄⋊C₄	—	67	4	no	—
1686	C₄⋊C₄	—	67	4	no	—
1687	C₄⋊C₄	—	67	4	no	—
1688	C₄⋊C₄	—	67	4	no	—
1689	C₄⋊C₄	—	67	4	no	—
1690	C₄⋊C₄	—	67	4	no	—
1691	C₄⋊C₄	—	67	4	no	—
1692	C₄⋊C₄	—	67	4	no	—
1693	C₄⋊C₄	—	67	4	no	—
1694	C₄⋊C₄	—	67	4	no	—
1695	C₄⋊C₄	—	67	4	no	—
1696	C₄⋊C₄	—	67	4	no	—
1697	C₄⋊C₄	—	67	4	no	—
1698	C₄⋊C₄	—	67	4	no	—
1699	C₄⋊C₄	—	67	4	no	—
1700	C₄⋊C₄	—	67	4	no	—
1701	C₄⋊C₄	—	67	4	no	—
1702	C₄⋊C₄	—	67	4	no	—
1703	C₄⋊C₄	—	67	4	no	—
1704	C₄⋊C₄	—	67	4	no	—
1705	C₄⋊C₄	—	67	4	no	—
1706	C₄⋊C₄	—	67	4	no	—
1707	C₄⋊C₄	—	67	4	no	—
1708	C₄⋊C₄	—	67	4	no	—
1709	C₄⋊C₄	—	67	4	no	—
1710	C₄⋊C₄	—	67	4	no	—
1711	C₄⋊C₄	—	67	4	no	—
1712	C₄⋊C₄	—	67	4	no	—
1713	C₄⋊C₄	—	67	4	no	—
1714	C₄⋊C₄	—	67	4	no	—
1715	C₄⋊C₄	—	67	4	no	—
1716	C₄⋊C₄	—	67	4	no	—
1717	C₄⋊C₄	—	67	4	no	—
1718	C₄⋊C₄	—	67	4	no	—
1719	C₄⋊C₄	—	67	4	no	—
1720	C₄⋊C₄	—	67	4	no	—
1721	C₄⋊C₄	—	67	4	no	—
1722	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1723	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1724	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1725	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1726	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1727	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1728	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1729	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1730	C₂²⋊C₄	—	67	4	no	—
1731	C₂²⋊C₄	—	67	4	no	—
1732	C₂²⋊C₄	—	67	4	no	—
1733	C₂²⋊C₄	—	67	4	no	—
1734	C₂²⋊C₄	—	67	4	no	—
1735	C₂²⋊C₄	—	67	4	no	—
1736	C₂²⋊C₄	—	67	4	no	—
1737	C₂²⋊C₄	—	67	4	no	—
1738	C₂²⋊C₄	—	67	4	no	—
1739	C₂²⋊C₄	—	67	4	no	—
1740	C₂²⋊C₄	—	67	4	no	—
1741	C₂²⋊C₄	—	67	4	no	—
1742	C₂²⋊C₄	—	67	4	no	—
1743	C₂²⋊C₄	—	67	4	no	—
1744	C₂²⋊C₄	—	67	4	no	—
1745	C₂²⋊C₄	—	67	4	no	—
1746	C₂²⋊C₄	—	67	4	no	—
1747	C₂²⋊C₄	—	67	4	no	—
1748	C₂²⋊C₄	—	67	4	no	—
1749	C₂²⋊C₄	—	67	4	no	—
1750	C₂²⋊C₄	—	67	4	no	—
1751	C₂²⋊C₄	—	67	4	no	—
1752	C₂²⋊C₄	—	67	4	no	—
1753	C₂²⋊C₄	—	67	4	no	—
1754	C₂²⋊C₄	—	67	4	no	—
1755	C₂²⋊C₄	—	67	4	no	—
1756	C₂²⋊C₄	—	67	4	no	—
1757	C₂²⋊C₄	—	67	4	no	—
1758	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1759	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
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	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1765	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1766	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1767	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1768	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1769	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1770	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1771	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1772	C₄²	—	67	4	no	—
1773	C₄²	—	67	4	no	—
1774	C₄²	—	67	4	no	—
1775	C₄²	—	67	4	no	—
1776	C₄²	—	67	4	no	—
1777	C₄²	—	67	4	no	—
1778	C₄²	—	67	4	no	—
1779	C₄²	—	67	4	no	—
1780	C₄²	—	67	4	no	—
1781	C₄²	—	67	4	no	—
1782	C₄²	—	67	4	no	—
1783	C₄²	C₂³×D₆₇	1	4	yes	—
1784	C₄²	C₂³×D₆₇	1	4	yes	—
1785	C₄²	C₂³×D₆₇	1	4	yes	—
1786	C₂³	—	2	2	no	—
1787	C₂³	—	2	2	no	—
1788	C₂³	—	2	2	no	—
1789	C₂³	—	2	2	no	—
1790	C₂³	—	2	2	no	—
1791	C₂³	—	2	8	no	—
1792	C₂³	—	2	2	no	—
1793	C₂³	—	2	2	no	—
1794	C₂³	—	2	2	no	—
1795	C₂³	—	2	2	no	—
1796	C₂³	—	2	8	no	—
1797	C₂³	—	2	2	no	—
1798	C₂³	—	4	4	no	—
1799	C₂³	—	4	16	no	—
1800	C₂³	—	268	16	no	—
1801	C₂³	—	268	4	no	—
1802	C₂³	—	67	4	no	—
1803	C₂³	—	67	2	no	—
1804	C₂³	—	67	2	no	—
1805	C₂³	—	67	2	no	—
1806	C₂³	—	134	8	no	—
1807	C₂³	—	134	2	no	—
1808	C₂³	—	134	2	no	—
1809	C₂³	—	134	2	no	—
1810	C₂³	—	134	2	no	—
1811	C₂³	—	134	2	no	—
1812	C₂³	—	134	8	no	—
1813	C₂³	—	134	2	no	—
1814	C₂³	—	134	2	no	—
1815	C₂³	—	134	2	no	—
1816	C₂³	#41×D₆₇	1	4	yes	—
1817	C₂³	#14524090	1	4	yes	—
1818	C₂³	C₂⁴×D₆₇	1	2	yes	—
1819	C₂³	C₂⁴×D₆₇	1	2	yes	—
1820	C₂³	C₂⁴×D₆₇	1	2	yes	—
1821	C₂³	C₂⁴×D₆₇	1	2	yes	—
1822	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
1823	Q₈	—	4	4	no	—
1824	Q₈	—	268	4	no	—
1825	Q₈	—	268	4	no	—
1826	Q₈	—	268	4	no	—
1827	Q₈	—	134	8	no	—
1828	Q₈	—	134	8	no	—
1829	Q₈	—	134	8	no	—
1830	Q₈	—	134	8	no	—
1831	Q₈	—	134	8	no	—
1832	D₄	—	2	8	no	—
1833	D₄	—	2	8	no	—
1834	D₄	—	4	4	no	—
1835	D₄	—	268	4	no	—
1836	D₄	—	268	4	no	—
1837	D₄	—	268	4	no	—
1838	D₄	—	67	16	no	—
1839	D₄	—	134	8	no	—
1840	D₄	—	134	8	no	—
1841	D₄	—	134	8	no	—
1842	D₄	—	134	8	no	—
1843	D₄	—	134	8	no	—
1844	D₄	—	134	8	no	—
1845	D₄	—	134	8	no	—
1846	D₄	—	134	8	no	—
1847	C₂×C₄	—	2	2	no	—
1848	C₂×C₄	—	2	2	no	—
1849	C₂×C₄	—	2	8	no	—
1850	C₂×C₄	—	2	2	no	—
1851	C₂×C₄	—	2	2	no	—
1852	C₂×C₄	—	2	2	no	—
1853	C₂×C₄	—	2	2	no	—
1854	C₂×C₄	—	2	2	no	—
1855	C₂×C₄	—	2	2	no	—
1856	C₂×C₄	—	2	8	no	—
1857	C₂×C₄	—	2	2	no	—
1858	C₂×C₄	—	2	2	no	—
1859	C₂×C₄	—	2	2	no	—
1860	C₂×C₄	—	4	4	no	—
1861	C₂×C₄	—	4	4	no	—
1862	C₂×C₄	—	4	4	no	—
1863	C₂×C₄	—	268	4	no	—
1864	C₂×C₄	—	268	4	no	—
1865	C₂×C₄	—	268	4	no	—
1866	C₂×C₄	—	268	4	no	—
1867	C₂×C₄	—	268	4	no	—
1868	C₂×C₄	—	268	4	no	—
1869	C₂×C₄	—	268	4	no	—
1870	C₂×C₄	—	268	4	no	—
1871	C₂×C₄	—	268	4	no	—
1872	C₂×C₄	—	268	4	no	—
1873	C₂×C₄	—	268	4	no	—
1874	C₂×C₄	—	67	4	no	—
1875	C₂×C₄	—	67	4	no	—
1876	C₂×C₄	—	67	2	no	—
1877	C₂×C₄	—	67	2	no	—
1878	C₂×C₄	—	67	2	no	—
1879	C₂×C₄	—	67	2	no	—
1880	C₂×C₄	—	67	2	no	—
1881	C₂×C₄	—	67	2	no	—
1882	C₂×C₄	—	67	2	no	—
1883	C₂×C₄	—	67	2	no	—
1884	C₂×C₄	—	67	2	no	—
1885	C₂×C₄	—	67	2	no	—
1886	C₂×C₄	—	67	2	no	—
1887	C₂×C₄	—	67	2	no	—
1888	C₂×C₄	—	67	2	no	—
1889	C₂×C₄	—	134	8	no	—
1890	C₂×C₄	—	134	8	no	—
1891	C₂×C₄	—	134	8	no	—
1892	C₂×C₄	—	134	8	no	—
1893	C₂×C₄	—	134	8	no	—
1894	C₂×C₄	—	134	8	no	—
1895	C₂×C₄	—	134	8	no	—
1896	C₂×C₄	—	134	8	no	—
1897	C₂×C₄	—	134	8	no	—
1898	C₂×C₄	—	134	8	no	—
1899	C₂×C₄	—	134	2	no	—
1900	C₂×C₄	—	134	2	no	—
1901	C₂×C₄	—	134	2	no	—
1902	C₂×C₄	—	134	2	no	—
1903	C₂×C₄	—	134	8	no	—
1904	C₂×C₄	—	134	2	no	—
1905	C₂×C₄	—	134	2	no	—
1906	C₂×C₄	—	134	2	no	—
1907	C₂×C₄	—	134	2	no	—
1908	C₂×C₄	—	134	2	no	—
1909	C₂×C₄	—	134	2	no	—
1910	C₂×C₄	—	134	2	no	—
1911	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1912	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1913	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1914	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1915	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1916	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1917	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1918	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1919	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1920	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1921	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1922	C₂²	—	2	2	no	—
1923	C₂²	—	2	2	no	—
1924	C₂²	—	2	2	no	—
1925	C₂²	—	2	2	no	—
1926	C₂²	—	2	8	no	—
1927	C₂²	—	2	8	no	—
1928	C₂²	—	2	2	no	—
1929	C₂²	—	2	2	no	—
1930	C₂²	—	2	2	no	—
1931	C₂²	—	2	2	no	—
1932	C₂²	—	2	2	no	—
1933	C₂²	—	2	2	no	—
1934	C₂²	—	4	16	no	—
1935	C₂²	—	4	4	no	—
1936	C₂²	—	4	4	no	—
1937	C₂²	—	268	16	no	—
1938	C₂²	—	268	4	no	—
1939	C₂²	—	268	4	no	—
1940	C₂²	—	67	4	no	—
1941	C₂²	—	134	2	no	—
1942	C₂²	—	134	2	no	—
1943	C₂²	—	134	2	no	—
1944	C₂²	—	134	2	no	—
1945	C₂²	—	134	2	no	—
1946	C₂²	—	134	2	no	—
1947	C₂²	—	134	2	no	—
1948	C₂²	—	134	2	no	—
1949	C₂²	—	134	8	no	—
1950	C₂²	C₂×#41×D₆₇	1	4	yes	—
1951	C₂²	C₂×#41×D₆₇	1	2	yes	—
1952	C₂²	H(5,𝔽₂)×D₆₇	1	2	yes	—
1953	C₂²	C₂×#14524090	1	4	yes	—
1954	C₂²	C₂×#14524090	1	2	yes	—
1955	C₂²	C₂⁵×D₆₇	1	1	yes	characteristic
1956	C₄	—	2	2	no	—
1957	C₄	—	2	2	no	—
1958	C₄	—	2	2	no	—
1959	C₄	—	2	2	no	—
1960	C₄	—	2	2	no	—
1961	C₄	—	2	2	no	—
1962	C₄	—	2	2	no	—
1963	C₄	—	2	2	no	—
1964	C₄	—	2	2	no	—
1965	C₄	—	2	2	no	—
1966	C₄	—	2	2	no	—
1967	C₄	—	67	4	no	—
1968	C₄	—	67	4	no	—
1969	C₄	—	134	2	no	—
1970	C₄	—	134	2	no	—
1971	C₄	—	134	2	no	—
1972	C₄	—	134	2	no	—
1973	C₄	—	134	2	no	—
1974	C₄	—	134	2	no	—
1975	C₄	—	134	2	no	—
1976	C₄	—	134	2	no	—
1977	C₄	—	134	2	no	—
1978	C₄	—	134	2	no	—
1979	C₄	—	134	2	no	—
1980	C₂	—	2	4	no	—
1981	C₂	—	2	4	no	—
1982	C₂	—	4	2	no	—
1983	C₂	—	4	2	no	—
1984	C₂	—	268	2	no	—
1985	C₂	—	268	2	no	—
1986	C₂	—	134	4	no	—
1987	C₂	#22574247	1	4	yes	direct product factor
1988	C₂	C₂²×#41×D₆₇	1	1	yes	characteristic
1989	C₂	C₂×H(5,𝔽₂)×D₆₇	1	1	yes	characteristic
1990	C₂	C₂²×#14524090	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×#3520
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. #22574247	C₂	direct (N × H)
2. C₂×#16864113	C₂	semidirect
3. C₂×#16864105	C₂	semidirect
4. C₂×#16864100	C₂	semidirect
5. C₂×#16864082	C₂	semidirect
6. C₂×#16864079	C₂	semidirect
7. C₂×#16864072	C₂	semidirect
8. C₂×#16864070	C₂	semidirect
9. C₂×#16864069	C₂	semidirect
10. C₂×#16864059	C₂	semidirect
11. C₂×#16864055	C₂	semidirect
12. C₂×#16864054	C₂	semidirect
13. C₂×#16864044	C₂	semidirect
14. C₂×#16864044	C₂	semidirect
15. C₂×#16864036	C₂	semidirect
16. C₂×#16864033	C₂	semidirect
17. C₂×#16864012	C₂	semidirect
18. C₂×#16864010	C₂	semidirect
19. C₂×#16863995	C₂	semidirect
20. C₂×#16863990	C₂	semidirect
21. C₂×#16863989	C₂	semidirect
22. C₂×#16863987	C₂	semidirect
23. C₂×#16863949	C₂	semidirect
24. C₂×#16863923	C₂	semidirect
25. C₂×#16863905	C₂	semidirect
26. C₂×#16863902	C₂	semidirect
27. C₂²×#14524020	C₂	semidirect
28. C₂×C₂²⋊Q₈×D₆₇	C₂	semidirect
29. C₂×#16863876	C₂	semidirect
30. C₂×#16863875	C₂	semidirect
31. C₂²×(C₂²⋊D₆₇)⋊C₄	C₂	semidirect
32. C₂×#551×C₆₇	C₂	semidirect
34. C₂²×#11761628	C₂²	semidirect
36. C₂²×#11761627	C₂²	semidirect
37. C₂³×Dic₁₃₄	C₂²	semidirect
38. C₂²×Q₈×D₆₇	C₂²	semidirect
42. #16864113	C₂²	semidirect
43. #16864105	C₂²	semidirect
44. #16864100	C₂²	semidirect
45. #16864082	C₂²	semidirect
46. #16864079	C₂²	semidirect
47. #16864072	C₂²	semidirect
48. #16864070	C₂²	semidirect
49. #16864069	C₂²	semidirect
50. #16864059	C₂²	semidirect
51. #16864055	C₂²	semidirect
52. #16864054	C₂²	semidirect
53. #16864044	C₂²	semidirect
54. #16864044	C₂²	semidirect
55. #16864036	C₂²	semidirect
56. #16864033	C₂²	semidirect
57. #16864012	C₂²	semidirect
58. #16864010	C₂²	semidirect
59. #16863995	C₂²	semidirect
60. #16863990	C₂²	semidirect
61. #16863989	C₂²	semidirect
62. #16863987	C₂²	semidirect
63. #16863949	C₂²	semidirect
64. C₂×#14524042	C₂²	semidirect
65. C₂×#14524042	C₂²	semidirect
66. C₂×#14524042	C₂²	semidirect
67. C₂×#14524041	C₂²	semidirect
68. #16863923	C₂²	semidirect
69. C₂×#14524038	C₂²	semidirect
70. C₂×#14524038	C₂²	semidirect
71. C₂×#14524038	C₂²	semidirect
72. C₂×#14524038	C₂²	semidirect
73. C₂×#14524037	C₂²	semidirect
74. C₂×#14524036	C₂²	semidirect
75. C₂×#14524036	C₂²	semidirect
76. C₂×#14524036	C₂²	semidirect
77. C₂×#14524035	C₂²	semidirect
78. C₂×#14524034	C₂²	semidirect
79. C₂×#14524034	C₂²	semidirect
80. C₂×#14524034	C₂²	semidirect
81. C₂×#14524033	C₂²	semidirect
82. C₂×#14524033	C₂²	semidirect
83. C₂×#14524033	C₂²	semidirect
84. C₂×#14524031	C₂²	semidirect
87. C₂×#14524029	C₂²	semidirect
88. C₂×#14524029	C₂²	semidirect
89. C₂×#14524029	C₂²	semidirect
90. #16863905	C₂²	semidirect
91. #16863902	C₂²	semidirect
92. C₂×#14524028	C₂²	semidirect
93. C₂×#14524028	C₂²	semidirect
94. C₂×#14524028	C₂²	semidirect
96. C₂×#14524027	C₂²	semidirect
97. C₂×#14524027	C₂²	semidirect
98. C₂×#14524027	C₂²	semidirect
103. C₂×#14524025	C₂²	semidirect
104. C₂×#14524025	C₂²	semidirect
105. C₂×#14524025	C₂²	semidirect
106. C₂×#14524024	C₂²	semidirect
107. C₂×#14524023	C₂²	semidirect
108. C₂×#14524023	C₂²	semidirect
110. C₂×#14524022	C₂²	semidirect
111. C₂×#14524021	C₂²	semidirect
112. C₂×#14524021	C₂²	semidirect
113. C₂×#14524021	C₂²	semidirect
114. C₂×#14524021	C₂²	semidirect
115. C₂×#14524021	C₂²	semidirect
116. 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
132. C₂×#14524020	C₂²	semidirect
133. C₂×#14524019	C₂²	semidirect
134. C₂×#14524019	C₂²	semidirect
135. C₂²⋊Q₈×D₆₇	C₂²	semidirect
139. C₂×#14524016	C₂²	semidirect
143. C₂×#14524015	C₂²	semidirect
148. #16863876	C₂²	semidirect
149. #16863875	C₂²	semidirect
150. C₂×C₄×Dic₁₃₄	C₂²	semidirect
151. C₂×C₄×Dic₁₃₄	C₂²	semidirect
152. C₂×C₄×Dic₁₃₄	C₂²	semidirect
153. C₂×C₄×Dic₁₃₄	C₂²	semidirect
154. C₂×C₄×Dic₁₃₄	C₂²	semidirect
155. C₂×#14524008	C₂²	semidirect
156. C₂×#14524008	C₂²	semidirect
157. C₂×C₄×D₂₆₈	C₂²	semidirect
158. C₂×C₄×D₂₆₈	C₂²	semidirect
161. C₂×D₄×Dic₆₇	C₂²	semidirect
164. C₂×C₄×C₂²⋊D₆₇	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. C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	semidirect
182. C₂×#14524001	C₂²	semidirect
183. C₂×#14524001	C₂²	semidirect
184. C₂×#14524000	C₂²	semidirect
185. C₂×#14524000	C₂²	semidirect
186. C₂×#14523999	C₂²	semidirect
187. C₂×#14523999	C₂²	semidirect
188. C₂×#14523999	C₂²	semidirect
189. C₂²×C₄⋊Dic₆₇	C₂²	semidirect
191. C₂²×Dic₆₇⋊C₄	C₂²	semidirect
192. C₂²×Dic₆₇⋊C₄	C₂²	semidirect
193. C₂²×Dic₆₇⋊C₄	C₂²	semidirect
194. C₂×C₄⋊C₄×D₆₇	C₂²	semidirect
195. C₂×C₄⋊C₄×D₆₇	C₂²	semidirect
196. C₂×C₄⋊C₄×D₆₇	C₂²	semidirect
197. C₂×C₄⋊C₄×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
211. C₂×C₂²⋊Q₈×C₆₇	C₂²	semidirect
214. C₂×C₄×D₄×C₆₇	C₂²	semidirect
216. C₂×#117×C₆₇	C₂²	semidirect
223. C₂×#11761628	C₂³	semidirect
227. C₂×#11761627	C₂³	semidirect
237. C₂²×Dic₁₃₄	C₂³	semidirect
239. C₂×Q₈×D₆₇	C₂³	semidirect
280. #14524042	C₂³	semidirect
281. #14524042	C₂³	semidirect
282. #14524042	C₂³	semidirect
283. #14524041	C₂³	semidirect
284. #14524038	C₂³	semidirect
285. #14524038	C₂³	semidirect
286. #14524038	C₂³	semidirect
287. #14524038	C₂³	semidirect
288. #14524037	C₂³	semidirect
289. #14524036	C₂³	semidirect
290. #14524036	C₂³	semidirect
291. #14524036	C₂³	semidirect
292. #14524035	C₂³	semidirect
293. #14524034	C₂³	semidirect
294. #14524034	C₂³	semidirect
295. #14524034	C₂³	semidirect
296. #14524033	C₂³	semidirect
297. #14524033	C₂³	semidirect
298. #14524033	C₂³	semidirect
299. #14524031	C₂³	semidirect
302. #14524029	C₂³	semidirect
303. #14524029	C₂³	semidirect
304. #14524029	C₂³	semidirect
305. #14524028	C₂³	semidirect
306. #14524028	C₂³	semidirect
307. #14524028	C₂³	semidirect
309. #14524027	C₂³	semidirect
310. #14524027	C₂³	semidirect
311. #14524027	C₂³	semidirect
316. #14524025	C₂³	semidirect
317. #14524025	C₂³	semidirect
318. #14524025	C₂³	semidirect
319. #14524024	C₂³	semidirect
320. #14524023	C₂³	semidirect
321. #14524023	C₂³	semidirect
323. #14524022	C₂³	semidirect
324. #14524021	C₂³	semidirect
325. #14524021	C₂³	semidirect
326. #14524021	C₂³	semidirect
327. #14524021	C₂³	semidirect
328. #14524021	C₂³	semidirect
329. #14524021	C₂³	semidirect
337. #14524020	C₂³	semidirect
338. #14524020	C₂³	semidirect
339. #14524020	C₂³	semidirect
340. #14524020	C₂³	semidirect
341. #14524020	C₂³	semidirect
342. #14524020	C₂³	semidirect
343. #14524020	C₂³	semidirect
344. #14524020	C₂³	semidirect
345. #14524019	C₂³	semidirect
346. #14524019	C₂³	semidirect
350. #14524016	C₂³	semidirect
354. #14524015	C₂³	semidirect
359. C₄×Dic₁₃₄	C₂³	semidirect
360. C₄×Dic₁₃₄	C₂³	semidirect
361. C₄×Dic₁₃₄	C₂³	semidirect
362. C₄×Dic₁₃₄	C₂³	semidirect
363. C₄×Dic₁₃₄	C₂³	semidirect
364. #14524008	C₂³	semidirect
365. #14524008	C₂³	semidirect
366. C₄×D₂₆₈	C₂³	semidirect
367. C₄×D₂₆₈	C₂³	semidirect
370. D₄×Dic₆₇	C₂³	semidirect
373. C₄×C₂²⋊D₆₇	C₂³	semidirect
385. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
386. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
387. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
388. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
390. #14524001	C₂³	semidirect
391. #14524001	C₂³	semidirect
392. #14524000	C₂³	semidirect
393. #14524000	C₂³	semidirect
394. #14523999	C₂³	semidirect
395. #14523999	C₂³	semidirect
396. #14523999	C₂³	semidirect
409. C₂×C₄⋊Dic₆₇	C₂³	semidirect
437. C₂×Dic₆₇⋊C₄	C₂³	semidirect
438. C₂×Dic₆₇⋊C₄	C₂³	semidirect
439. 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
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
505. C₂²⋊Q₈×C₆₇	C₂³	semidirect
508. C₄×D₄×C₆₇	C₂³	semidirect
510. #117×C₆₇	C₂³	semidirect
581. C₂×C₂²⋊D₆₇	#41	semidirect
867. C₂²⋊D₆₇	C₂×#41	semidirect
989. C₂×C₆₇	#3520	semidirect
1005. C₂×#551	D₆₇	semidirect
1028. C₆₇	C₂×#3520	semidirect
1046. #551	C₂×D₆₇	semidirect
1074. C₂×#126	C₂×D₆₇	semidirect
1075. C₂×#126	C₂×D₆₇	semidirect
1089. C₂×#124	C₂×D₆₇	semidirect
1108. C₂×#123	C₂×D₆₇	semidirect
1109. C₂×#123	C₂×D₆₇	semidirect
1140. C₂×C₂²⋊Q₈	C₂×D₆₇	semidirect
1188. C₂×C₄×D₄	C₂×D₆₇	semidirect
1198. C₂×#117	C₂×D₆₇	semidirect
1298. #126	C₂²×D₆₇	semidirect
1299. #126	C₂²×D₆₇	semidirect
1313. #124	C₂²×D₆₇	semidirect
1330. #123	C₂²×D₆₇	semidirect
1331. #123	C₂²×D₆₇	semidirect
1360. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1405. C₄×D₄	C₂²×D₆₇	semidirect
1415. #117	C₂²×D₆₇	semidirect
1987. C₂	#22574247	direct (N × H)

Maximal subgroups

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

subgroup	index
#22574247	2
C₂×#16864113	2
C₂×#16864105	2
C₂×#16864100	2
C₂×#16864082	2
C₂×#16864079	2
C₂×#16864072	2
C₂×#16864070	2
C₂×#16864069	2
C₂×#16864059	2
C₂×#16864055	2
C₂×#16864054	2
C₂×#16864044	2
C₂×#16864036	2
C₂×#16864033	2
C₂×#16864012	2
C₂×#16864010	2
C₂×#16863995	2
C₂×#16863990	2
C₂×#16863989	2
C₂×#16863987	2
C₂×#16863949	2
C₂×#16863923	2
C₂×#16863905	2
C₂×#16863902	2
C₂²×#14524020	2
C₂×C₂²⋊Q₈×D₆₇	2
C₂×#16863876	2
C₂×#16863875	2
C₂²×(C₂²⋊D₆₇)⋊C₄	2
C₂×#551×C₆₇	2
C₂×#3520	67

Subgroups — C2×#22574247 #31763841

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#22574247 #31763841