Subgroups — C₂×#22574273 #31763961

Order 17152.

7314 conjugacy classes of subgroups.

The subgroup lattice has 1936 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22574273	C₂	1	32	yes	maximal, direct product factor
2	C₂×#16864115	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#16864113	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#16864100	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#16864093	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#16864089	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#16864089	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#16864088	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#16864083	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#16864082	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#16864077	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#16864077	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#16864076	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#16864074	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#16864046	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#16864033	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#16864033	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#16864010	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#16864003	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#16863989	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#16863988	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#16863978	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#16863927	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#16863926	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#16863925	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#16863923	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂²×#14524036	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#126×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#16863875	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#16863869	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₄×#11761627	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#538×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
33	C₂²×#11761627	C₂²	1	1	yes	characteristic
34	C₂²×#11761627	C₂²	1	1	yes	characteristic
35	C₂³×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic
36	#16864115	C₂²	1	16	yes	complemented
37	#16864113	C₂²	1	16	yes	complemented
38	#16864100	C₂²	1	16	yes	complemented
39	#16864093	C₂²	1	16	yes	complemented
40	#16864089	C₂²	1	16	yes	complemented
41	#16864089	C₂²	1	16	yes	complemented
42	#16864088	C₂²	1	16	yes	complemented
43	#16864083	C₂²	1	16	yes	complemented
44	#16864082	C₂²	1	16	yes	complemented
45	#16864077	C₂²	1	16	yes	complemented
46	#16864077	C₂²	1	16	yes	complemented
47	#16864076	C₂²	1	16	yes	complemented
48	#16864074	C₂²	1	16	yes	complemented
49	#16864046	C₂²	1	16	yes	complemented
50	#16864033	C₂²	1	16	yes	complemented
51	#16864033	C₂²	1	16	yes	complemented
52	#16864010	C₂²	1	16	yes	complemented
53	#16864003	C₂²	1	16	yes	complemented
54	#16863989	C₂²	1	16	yes	complemented
55	#16863988	C₂²	1	16	yes	complemented
56	#16863978	C₂²	1	16	yes	complemented
57	C₂×#14524042	C₂²	1	1	yes	characteristic, complemented
58	C₂×#14524041	C₂²	1	1	yes	characteristic, complemented
59	#16863927	C₂²	1	16	yes	complemented
60	#16863926	C₂²	1	16	yes	complemented
61	#16863925	C₂²	1	16	yes	complemented
62	#16863923	C₂²	1	16	yes	complemented
63	C₂×#14524038	C₂²	1	1	yes	characteristic, complemented
64	C₂×#14524038	C₂²	1	1	yes	characteristic, complemented
65	C₂×#14524038	C₂²	1	1	yes	characteristic, complemented
66	C₂×#14524038	C₂²	1	1	yes	characteristic, complemented
67	C₂×#14524037	C₂²	1	1	yes	characteristic, complemented
68	C₂×#14524036	C₂²	1	1	yes	characteristic
69	C₂×#14524036	C₂²	1	1	yes	characteristic
70	C₂×#14524036	C₂²	1	1	yes	characteristic
71	C₂×#14524036	C₂²	1	1	yes	characteristic
72	C₂×#14524036	C₂²	1	1	yes	characteristic
73	C₂×#14524036	C₂²	1	1	yes	characteristic
74	C₂×#14524036	C₂²	1	1	yes	characteristic
75	C₂×#14524036	C₂²	1	1	yes	characteristic
76	C₂×#14524036	C₂²	1	1	yes	characteristic, complemented
77	C₂×#14524036	C₂²	1	1	yes	characteristic, complemented
78	C₂×#14524036	C₂²	1	1	yes	characteristic, complemented
79	C₂×#14524036	C₂²	1	1	yes	characteristic, complemented
80	C₂×#14524036	C₂²	1	1	yes	characteristic, complemented
81	C₂×#14524036	C₂²	1	1	yes	characteristic, complemented
82	C₂×#14524036	C₂²	1	1	yes	characteristic, complemented
83	C₂×#14524036	C₂²	1	16	yes	complemented
84	#126×D₆₇	C₂²	1	16	yes	complemented
85	C₂×#14524035	C₂²	1	1	yes	characteristic, complemented
86	C₂×#14524034	C₂²	1	1	yes	characteristic, complemented
87	C₂×#14524034	C₂²	1	1	yes	characteristic, complemented
88	C₂×#14524034	C₂²	1	1	yes	characteristic, complemented
89	C₂×#14524033	C₂²	1	1	yes	characteristic, complemented
90	C₂×#14524033	C₂²	1	1	yes	characteristic, complemented
91	C₂×#14524033	C₂²	1	1	yes	characteristic, complemented
92	C₂×#14524033	C₂²	1	1	yes	characteristic, complemented
93	C₂×#14524033	C₂²	1	1	yes	characteristic, complemented
94	C₂×#14524030	C₂²	1	1	yes	characteristic
95	C₂×#14524030	C₂²	1	1	yes	characteristic
96	C₂×#14524029	C₂²	1	1	yes	characteristic
97	C₂×#14524029	C₂²	1	1	yes	characteristic
98	C₂×#14524029	C₂²	1	1	yes	characteristic, complemented
99	C₂×#14524027	C₂²	1	1	yes	characteristic
100	C₂×#14524027	C₂²	1	1	yes	characteristic
101	C₂×#14524026	C₂²	1	1	yes	characteristic, complemented
102	C₂×#14524025	C₂²	1	1	yes	characteristic
103	C₂×#14524025	C₂²	1	1	yes	characteristic
104	C₂×#14524025	C₂²	1	1	yes	characteristic, complemented
105	C₂×#14524025	C₂²	1	1	yes	characteristic, complemented
106	C₂×#14524025	C₂²	1	1	yes	characteristic, complemented
107	C₂×#14524025	C₂²	1	1	yes	characteristic, complemented
108	C₂×#14524024	C₂²	1	1	yes	characteristic
109	C₂×#14524024	C₂²	1	1	yes	characteristic
110	C₂×#14524024	C₂²	1	1	yes	characteristic, complemented
111	C₂×#14524024	C₂²	1	1	yes	characteristic, complemented
112	C₂×#14524024	C₂²	1	1	yes	characteristic, complemented
113	C₂×#14524024	C₂²	1	1	yes	characteristic, complemented
114	C₂×#14524024	C₂²	1	1	yes	characteristic, complemented
115	C₂×#14524022	C₂²	1	1	yes	characteristic, complemented
116	C₂×#14524021	C₂²	1	1	yes	characteristic, complemented
117	C₂×#14524021	C₂²	1	1	yes	characteristic, complemented
118	C₂×#14524021	C₂²	1	1	yes	characteristic, complemented
119	C₂×#14524020	C₂²	1	1	yes	characteristic
120	C₂×#14524020	C₂²	1	1	yes	characteristic
121	C₂×#14524020	C₂²	1	1	yes	characteristic, complemented
122	C₂×#14524020	C₂²	1	1	yes	characteristic, complemented
123	C₂×#14524020	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×#14524019	C₂²	1	1	yes	characteristic, complemented
128	C₂×#14524019	C₂²	1	1	yes	characteristic, complemented
129	C₂×#14524015	C₂²	1	1	yes	characteristic
130	C₂×#14524015	C₂²	1	1	yes	characteristic
131	C₂×#14524015	C₂²	1	1	yes	characteristic
132	C₂×#14524015	C₂²	1	1	yes	characteristic
133	C₂×#14524015	C₂²	1	1	yes	characteristic, complemented
134	C₂×#14524014	C₂²	1	1	yes	characteristic
135	C₂×#14524014	C₂²	1	1	yes	characteristic
136	C₂×#14524014	C₂²	1	1	yes	characteristic, complemented
137	C₂×#14524011	C₂²	1	1	yes	characteristic
138	C₂×#14524011	C₂²	1	1	yes	characteristic
139	#16863875	C₂²	1	16	yes	complemented
140	#16863869	C₂²	1	16	yes	complemented
141	C₄×#11761627	C₂²	1	16	yes	complemented
142	C₂×Q₈×Dic₆₇	C₂²	1	1	yes	characteristic, complemented
143	C₂×C₄×Dic₁₃₄	C₂²	1	1	yes	characteristic, complemented
144	C₂×C₄×Dic₁₃₄	C₂²	1	1	yes	characteristic, complemented
145	C₂×C₄×Dic₁₃₄	C₂²	1	1	yes	characteristic, complemented
146	C₂×#14524008	C₂²	1	1	yes	characteristic, complemented
147	C₂×#14524008	C₂²	1	1	yes	characteristic, complemented
148	C₂×#14524008	C₂²	1	1	yes	characteristic, complemented
149	C₂×D₄×Dic₆₇	C₂²	1	1	yes	characteristic
150	C₂×D₄×Dic₆₇	C₂²	1	1	yes	characteristic
151	C₂×D₄×Dic₆₇	C₂²	1	1	yes	characteristic, complemented
152	C₂×D₄×Dic₆₇	C₂²	1	1	yes	characteristic, complemented
153	C₂×D₄×Dic₆₇	C₂²	1	1	yes	characteristic, complemented
154	C₂×D₄×Dic₆₇	C₂²	1	1	yes	characteristic, complemented
155	C₂×D₄×Dic₆₇	C₂²	1	1	yes	characteristic, complemented
156	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic
157	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic
158	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic
159	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic
160	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic, complemented
161	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic, complemented
162	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic, complemented
163	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic
164	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic
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, complemented
170	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
171	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
172	C₂×#14524002	C₂²	1	1	yes	characteristic, complemented
173	C₂×#14524001	C₂²	1	1	yes	characteristic, complemented
174	C₂×#14524001	C₂²	1	1	yes	characteristic, complemented
175	C₂×#14524000	C₂²	1	1	yes	characteristic, complemented
176	C₂×#14524000	C₂²	1	1	yes	characteristic, complemented
177	C₂×#14523999	C₂²	1	1	yes	characteristic
178	C₂×#14523999	C₂²	1	1	yes	characteristic
179	C₂×#14523999	C₂²	1	1	yes	characteristic, complemented
180	C₂×#14523999	C₂²	1	1	yes	characteristic, complemented
181	C₂×#14523999	C₂²	1	1	yes	characteristic, complemented
182	C₂×#14523999	C₂²	1	1	yes	characteristic, complemented
183	C₂×#14523999	C₂²	1	1	yes	characteristic, complemented
184	C₂×#14523999	C₂²	1	1	yes	characteristic, complemented
185	C₂×#14523999	C₂²	1	1	yes	characteristic, complemented
186	C₂²×C₄⋊Dic₆₇	C₂²	1	1	yes	characteristic, complemented
187	C₂²×Dic₆₇⋊C₄	C₂²	1	1	yes	characteristic, complemented
188	C₂²×Dic₆₇⋊C₄	C₂²	1	1	yes	characteristic, complemented
189	C₂²×Dic₆₇⋊C₄	C₂²	1	1	yes	characteristic, complemented
190	C₂×C₄⋊C₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
191	C₂×C₄⋊C₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
192	C₂×C₄⋊C₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
193	C₂²×C₂²⋊Dic₆₇	C₂²	1	1	yes	characteristic
194	C₂²×C₂²⋊Dic₆₇	C₂²	1	1	yes	characteristic
195	C₂²×C₂²⋊Dic₆₇	C₂²	1	1	yes	characteristic
196	C₂×C₂²⋊C₄×D₆₇	C₂²	1	1	yes	characteristic
197	C₂×C₂²⋊C₄×D₆₇	C₂²	1	1	yes	characteristic
198	C₂×C₂²⋊C₄×D₆₇	C₂²	1	1	yes	characteristic
199	C₂×C₂²⋊C₄×D₆₇	C₂²	1	1	yes	characteristic
200	C₂²×C₄×Dic₆₇	C₂²	1	1	yes	characteristic, complemented
201	C₂²×C₄×Dic₆₇	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₄²×D₆₇	C₂²	1	1	yes	characteristic, complemented
203	#538×C₆₇	C₂²	1	16	yes	complemented
204	C₂×#126×C₆₇	C₂²	1	1	yes	characteristic
205	C₂×#126×C₆₇	C₂²	1	1	yes	characteristic, complemented
206	C₂×#124×C₆₇	C₂²	1	1	yes	characteristic
207	C₂×#124×C₆₇	C₂²	1	1	yes	characteristic, complemented
208	C₂×#123×C₆₇	C₂²	1	1	yes	characteristic
209	C₂×#123×C₆₇	C₂²	1	1	yes	characteristic, complemented
210	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
211	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic
212	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic, complemented
213	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic, complemented
214	C₂×#120×C₆₇	C₂²	1	1	yes	characteristic
215	C₂×#120×C₆₇	C₂²	1	1	yes	characteristic
216	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
217	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
218	C₂²×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
219	C₂⁴×D₆₇	C₂³	1	1	yes	characteristic
220	C₂×#11761627	—	2	8	no	—
221	C₂×#11761627	—	2	8	no	—
222	C₂×#11761627	C₂³	1	8	yes	—
223	C₂×#11761627	C₂³	1	8	yes	—
224	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic
225	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic
226	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic
227	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic
228	C₂²×C₂²⋊D₆₇	—	2	8	no	—
229	C₂²×C₂²⋊D₆₇	C₂³	1	8	yes	—
230	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
231	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
232	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
233	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
234	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
235	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
236	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
237	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
238	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
239	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
240	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
241	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
242	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
243	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
244	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
245	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
246	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
247	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
248	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
249	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
250	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
251	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
252	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
253	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
254	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
255	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
256	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
257	#14524042	C₂³	1	8	yes	complemented
258	#14524041	C₂³	1	8	yes	complemented
259	#14524038	C₂³	1	8	yes	complemented
260	#14524038	C₂³	1	8	yes	complemented
261	#14524038	C₂³	1	8	yes	complemented
262	#14524038	C₂³	1	8	yes	complemented
263	#14524037	C₂³	1	8	yes	complemented
264	#14524036	C₂³	1	8	yes	—
265	#14524036	C₂³	1	8	yes	—
266	#14524036	C₂³	1	8	yes	—
267	#14524036	C₂³	1	8	yes	—
268	#14524036	C₂³	1	8	yes	—
269	#14524036	C₂³	1	8	yes	—
270	#14524036	C₂³	1	8	yes	—
271	#14524036	C₂³	1	8	yes	—
272	#14524036	C₂³	1	8	yes	complemented
273	#14524036	C₂³	1	8	yes	complemented
274	#14524036	C₂³	1	8	yes	complemented
275	#14524036	C₂³	1	8	yes	complemented
276	#14524036	C₂³	1	8	yes	complemented
277	#14524036	C₂³	1	8	yes	complemented
278	#14524036	C₂³	1	8	yes	complemented
279	#14524035	C₂³	1	8	yes	complemented
280	#14524034	C₂³	1	8	yes	complemented
281	#14524034	C₂³	1	8	yes	complemented
282	#14524034	C₂³	1	8	yes	complemented
283	#14524033	C₂³	1	8	yes	complemented
284	#14524033	C₂³	1	8	yes	complemented
285	#14524033	C₂³	1	8	yes	complemented
286	#14524033	C₂³	1	8	yes	complemented
287	#14524033	C₂³	1	8	yes	complemented
288	#14524030	C₂³	1	8	yes	—
289	#14524030	C₂³	1	8	yes	—
290	#14524029	C₂³	1	8	yes	—
291	#14524029	C₂³	1	8	yes	—
292	#14524029	C₂³	1	8	yes	complemented
293	#14524027	C₂³	1	8	yes	—
294	#14524027	C₂³	1	8	yes	—
295	#14524026	C₂³	1	8	yes	complemented
296	#14524025	C₂³	1	8	yes	—
297	#14524025	C₂³	1	8	yes	—
298	#14524025	C₂³	1	8	yes	complemented
299	#14524025	C₂³	1	8	yes	complemented
300	#14524025	C₂³	1	8	yes	complemented
301	#14524025	C₂³	1	8	yes	complemented
302	#14524024	C₂³	1	8	yes	—
303	#14524024	C₂³	1	8	yes	—
304	#14524024	C₂³	1	8	yes	complemented
305	#14524024	C₂³	1	8	yes	complemented
306	#14524024	C₂³	1	8	yes	complemented
307	#14524024	C₂³	1	8	yes	complemented
308	#14524024	C₂³	1	8	yes	complemented
309	#14524022	C₂³	1	8	yes	complemented
310	#14524021	C₂³	1	8	yes	complemented
311	#14524021	C₂³	1	8	yes	complemented
312	#14524021	C₂³	1	8	yes	complemented
313	#14524020	C₂³	1	8	yes	—
314	#14524020	C₂³	1	8	yes	—
315	#14524020	C₂³	1	8	yes	complemented
316	#14524020	C₂³	1	8	yes	complemented
317	#14524020	C₂³	1	8	yes	complemented
318	#14524020	C₂³	1	8	yes	complemented
319	#14524020	C₂³	1	8	yes	complemented
320	#14524020	C₂³	1	8	yes	complemented
321	#14524019	C₂³	1	8	yes	complemented
322	#14524019	C₂³	1	8	yes	complemented
323	#14524015	C₂³	1	8	yes	—
324	#14524015	C₂³	1	8	yes	—
325	#14524015	C₂³	1	8	yes	—
326	#14524015	C₂³	1	8	yes	—
327	#14524015	C₂³	1	8	yes	complemented
328	#14524014	C₂³	1	8	yes	—
329	#14524014	C₂³	1	8	yes	—
330	#14524014	C₂³	1	8	yes	complemented
331	#14524011	C₂³	1	8	yes	—
332	#14524011	C₂³	1	8	yes	—
333	Q₈×Dic₆₇	C₂³	1	8	yes	complemented
334	C₄×Dic₁₃₄	C₂³	1	8	yes	complemented
335	C₄×Dic₁₃₄	C₂³	1	8	yes	complemented
336	C₄×Dic₁₃₄	C₂³	1	8	yes	complemented
337	#14524008	C₂³	1	8	yes	complemented
338	#14524008	C₂³	1	8	yes	complemented
339	#14524008	C₂³	1	8	yes	complemented
340	D₄×Dic₆₇	C₂³	1	8	yes	—
341	D₄×Dic₆₇	C₂³	1	8	yes	—
342	D₄×Dic₆₇	C₂³	1	8	yes	complemented
343	D₄×Dic₆₇	C₂³	1	8	yes	complemented
344	D₄×Dic₆₇	C₂³	1	8	yes	complemented
345	D₄×Dic₆₇	C₂³	1	8	yes	complemented
346	D₄×Dic₆₇	C₂³	1	8	yes	complemented
347	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	—
348	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	—
349	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	—
350	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	—
351	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	complemented
352	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	complemented
353	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	complemented
354	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	—
355	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	—
356	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	—
357	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	—
358	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	—
359	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	—
360	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	complemented
361	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	complemented
362	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	complemented
363	#14524002	C₂³	1	8	yes	complemented
364	#14524001	C₂³	1	8	yes	complemented
365	#14524001	C₂³	1	8	yes	complemented
366	#14524000	C₂³	1	8	yes	complemented
367	#14524000	C₂³	1	8	yes	complemented
368	#14523999	C₂³	1	8	yes	—
369	#14523999	C₂³	1	8	yes	—
370	#14523999	C₂³	1	8	yes	complemented
371	#14523999	C₂³	1	8	yes	complemented
372	#14523999	C₂³	1	8	yes	complemented
373	#14523999	C₂³	1	8	yes	complemented
374	#14523999	C₂³	1	8	yes	complemented
375	#14523999	C₂³	1	8	yes	complemented
376	#14523999	C₂³	1	8	yes	complemented
377	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
378	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
379	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
380	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
381	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
382	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
383	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
384	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
385	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
386	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
387	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
388	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
389	C₂×C₄⋊Dic₆₇	C₂³	1	8	yes	complemented
390	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
391	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
392	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
393	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
394	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
395	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
396	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
397	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
398	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
399	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
400	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
401	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
402	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
403	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
404	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
405	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
406	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
407	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
408	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
409	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
410	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
411	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
412	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
413	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
414	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
415	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
416	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
417	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
418	C₂×Dic₆₇⋊C₄	C₂³	1	8	yes	complemented
419	C₂×Dic₆₇⋊C₄	C₂³	1	8	yes	complemented
420	C₂×Dic₆₇⋊C₄	C₂³	1	8	yes	complemented
421	C₄⋊C₄×D₆₇	C₂³	1	8	yes	complemented
422	C₄⋊C₄×D₆₇	C₂³	1	8	yes	complemented
423	C₄⋊C₄×D₆₇	C₂³	1	8	yes	complemented
424	C₂×C₂²⋊Dic₆₇	C₂³	1	8	yes	—
425	C₂×C₂²⋊Dic₆₇	C₂³	1	8	yes	—
426	C₂×C₂²⋊Dic₆₇	C₂³	1	8	yes	—
427	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
428	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
429	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
430	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
431	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
432	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
433	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
434	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
435	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
436	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
437	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
438	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
439	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
440	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
441	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
442	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
443	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
444	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
445	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
446	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
447	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
448	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
449	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
450	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
451	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
452	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
453	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
454	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
455	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
456	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
457	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
458	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
459	C₂²⋊C₄×D₆₇	C₂³	1	8	yes	—
460	C₂²⋊C₄×D₆₇	C₂³	1	8	yes	—
461	C₂²⋊C₄×D₆₇	C₂³	1	8	yes	—
462	C₂²⋊C₄×D₆₇	C₂³	1	8	yes	—
463	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
464	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
465	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
466	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
467	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
468	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
469	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
470	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
471	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
472	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
473	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
474	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
475	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
476	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
477	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
478	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
479	C₂×C₄×Dic₆₇	C₂³	1	8	yes	complemented
480	C₂×C₄×Dic₆₇	C₂³	1	8	yes	complemented
481	C₄²×D₆₇	C₂³	1	8	yes	complemented
482	C₂⁵×C₆₇	C₂³	1	1	yes	characteristic
483	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic
484	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
485	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
486	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
487	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
488	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
489	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
490	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
491	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
492	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
493	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
494	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
495	#126×C₆₇	C₂³	1	8	yes	—
496	#126×C₆₇	C₂³	1	8	yes	complemented
497	#124×C₆₇	C₂³	1	8	yes	—
498	#124×C₆₇	C₂³	1	8	yes	complemented
499	#123×C₆₇	C₂³	1	8	yes	—
500	#123×C₆₇	C₂³	1	8	yes	complemented
501	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	complemented
502	#121×C₆₇	C₂³	1	8	yes	—
503	#121×C₆₇	C₂³	1	8	yes	complemented
504	#121×C₆₇	C₂³	1	8	yes	complemented
505	#120×C₆₇	C₂³	1	8	yes	—
506	#120×C₆₇	C₂³	1	8	yes	—
507	C₄×D₄×C₆₇	C₂³	1	8	yes	complemented
508	C₄×D₄×C₆₇	C₂³	1	8	yes	complemented
509	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
510	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
511	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
512	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
513	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
514	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
515	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
516	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
517	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
518	C₂×C₂²⋊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	1	yes	characteristic
523	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
524	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
525	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
526	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
527	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
528	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
529	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
530	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
531	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
532	C₂³×D₆₇	—	2	4	no	—
533	C₂³×D₆₇	—	4	2	no	—
534	C₂³×D₆₇	—	4	2	no	—
535	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
536	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
537	C₂³×D₆₇	C₂⁴	1	4	yes	—
538	#11761627	—	2	32	no	—
539	#11761627	—	2	32	no	—
540	C₂×Dic₁₃₄	—	2	4	no	—
541	C₂×Dic₁₃₄	—	2	4	no	—
542	C₂×Dic₁₃₄	—	4	2	no	—
543	C₂×Dic₁₃₄	—	4	2	no	—
544	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
545	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
546	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
547	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
548	C₂×C₂²⋊D₆₇	—	2	4	no	—
549	C₂×C₂²⋊D₆₇	—	2	4	no	—
550	C₂×C₂²⋊D₆₇	—	2	4	no	—
551	C₂×C₂²⋊D₆₇	—	2	4	no	—
552	C₂×C₂²⋊D₆₇	—	2	32	no	—
553	C₂×C₂²⋊D₆₇	—	2	4	no	—
554	C₂×C₂²⋊D₆₇	—	4	2	no	—
555	C₂×C₂²⋊D₆₇	—	4	2	no	—
556	C₂×C₂²⋊D₆₇	#41	1	8	yes	—
557	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
558	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
559	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
560	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
561	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
562	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
563	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
564	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
565	C₂²×Dic₆₇	—	2	4	no	—
566	C₂²×Dic₆₇	—	2	4	no	—
567	C₂²×Dic₆₇	—	2	4	no	—
568	C₂²×Dic₆₇	—	2	4	no	—
569	C₂²×Dic₆₇	—	2	4	no	—
570	C₂²×Dic₆₇	—	4	2	no	—
571	C₂²×Dic₆₇	—	4	2	no	—
572	C₂²×Dic₆₇	—	4	2	no	—
573	C₂²×Dic₆₇	—	4	2	no	—
574	C₂²×Dic₆₇	—	4	2	no	—
575	C₂²×Dic₆₇	—	4	2	no	—
576	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
577	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
578	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
579	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
580	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
581	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
582	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
583	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
584	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
585	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
586	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
587	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
588	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
589	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
590	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
591	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
592	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
593	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
594	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
595	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
596	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
597	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
598	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
599	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
600	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
601	C₂×C₄×D₆₇	—	2	4	no	—
602	C₂×C₄×D₆₇	—	2	4	no	—
603	C₂×C₄×D₆₇	—	4	2	no	—
604	C₂×C₄×D₆₇	—	4	2	no	—
605	C₂×C₄×D₆₇	—	4	2	no	—
606	C₂×C₄×D₆₇	—	4	2	no	—
607	C₂×C₄×D₆₇	—	4	2	no	—
608	C₂×C₄×D₆₇	—	4	2	no	—
609	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
610	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
611	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
612	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
613	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
614	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
615	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
616	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
617	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
618	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
619	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
620	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
621	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
622	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
623	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
624	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
625	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
626	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
627	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
628	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
629	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
630	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
631	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
632	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
633	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
634	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
635	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
636	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
637	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
638	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
639	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
640	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
641	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
642	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
643	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
644	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
645	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
646	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
647	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
648	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
649	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
650	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
651	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
652	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
653	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
654	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
655	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
656	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
657	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
658	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
659	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
660	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
661	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
662	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
663	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
664	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
665	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
666	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
667	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
668	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
669	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
670	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
671	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
672	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
673	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
674	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
675	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
676	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
677	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
678	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
679	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
680	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
681	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
682	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
683	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
684	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
685	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
686	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
687	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
688	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
689	C₄×Dic₆₇	C₂⁴	1	4	yes	—
690	C₄×Dic₆₇	C₂⁴	1	4	yes	—
691	C₄×Dic₆₇	C₂⁴	1	4	yes	—
692	C₄×Dic₆₇	C₂⁴	1	4	yes	—
693	C₄×Dic₆₇	C₂⁴	1	4	yes	—
694	C₄×Dic₆₇	C₂⁴	1	4	yes	—
695	C₄×Dic₆₇	C₂⁴	1	4	yes	—
696	C₄×Dic₆₇	C₂⁴	1	4	yes	—
697	C₄×Dic₆₇	C₂⁴	1	4	yes	—
698	C₄×Dic₆₇	C₂⁴	1	4	yes	—
699	C₄×Dic₆₇	C₂⁴	1	4	yes	—
700	C₄×Dic₆₇	C₂⁴	1	4	yes	—
701	C₄×Dic₆₇	C₂⁴	1	4	yes	—
702	C₄×Dic₆₇	C₂⁴	1	4	yes	—
703	C₄×Dic₆₇	C₂⁴	1	4	yes	—
704	C₄×Dic₆₇	C₂⁴	1	4	yes	—
705	C₂⁴×C₆₇	—	2	4	no	—
706	C₂⁴×C₆₇	—	4	2	no	—
707	C₂⁴×C₆₇	—	4	2	no	—
708	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
709	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
710	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
711	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
712	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
713	C₂⁴×C₆₇	C₂⁴	1	4	yes	—
714	C₂×Q₈×C₆₇	—	4	2	no	—
715	C₂×Q₈×C₆₇	C₂⁴	1	4	yes	—
716	C₂×D₄×C₆₇	—	2	4	no	—
717	C₂×D₄×C₆₇	—	2	4	no	—
718	C₂×D₄×C₆₇	—	4	2	no	—
719	C₂×D₄×C₆₇	—	4	2	no	—
720	C₂×D₄×C₆₇	—	4	2	no	—
721	C₂×D₄×C₆₇	—	4	2	no	—
722	C₂×D₄×C₆₇	—	4	2	no	—
723	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
724	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
725	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
726	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
727	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
728	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
729	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
730	C₂²×C₄×C₆₇	—	4	2	no	—
731	C₂²×C₄×C₆₇	—	4	2	no	—
732	C₂²×C₄×C₆₇	—	4	2	no	—
733	C₂²×C₄×C₆₇	—	4	2	no	—
734	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
735	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
736	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
737	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
738	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
739	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
740	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
741	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
742	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
743	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
744	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
745	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
746	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
747	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
748	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
749	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
750	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
751	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
752	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
753	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
754	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
755	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
756	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
757	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
758	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
759	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
760	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
761	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
762	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
763	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
764	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
765	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
766	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
767	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
768	C₄²×C₆₇	C₂⁴	1	4	yes	—
769	C₄²×C₆₇	C₂⁴	1	4	yes	—
770	C₂³×C₆₇	—	2	2	no	—
771	C₂³×C₆₇	—	2	2	no	—
772	C₂³×C₆₇	—	2	2	no	—
773	C₂³×C₆₇	—	2	2	no	—
774	C₂³×C₆₇	—	2	2	no	—
775	C₂³×C₆₇	—	2	2	no	—
776	C₂³×C₆₇	—	2	2	no	—
777	C₂³×C₆₇	—	2	2	no	—
778	C₂³×C₆₇	—	2	2	no	—
779	C₂³×C₆₇	—	2	2	no	—
780	C₂³×C₆₇	—	2	2	no	—
781	C₂³×C₆₇	—	2	2	no	—
782	C₂³×C₆₇	—	2	2	no	—
783	C₂³×C₆₇	—	2	2	no	—
784	C₂³×C₆₇	—	2	8	no	—
785	C₂³×C₆₇	—	4	4	no	—
786	C₂³×C₆₇	—	4	4	no	—
787	C₂³×C₆₇	—	8	8	no	—
788	C₂³×C₆₇	C₂×#41	1	4	yes	—
789	C₂³×C₆₇	C₂⁵	1	2	yes	—
790	C₂³×C₆₇	C₂⁵	1	2	yes	—
791	C₂³×C₆₇	C₂⁵	1	2	yes	—
792	C₂³×C₆₇	C₂⁵	1	2	yes	—
793	C₂³×C₆₇	C₂⁵	1	2	yes	—
794	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
795	C₂²×D₆₇	—	2	2	no	—
796	C₂²×D₆₇	—	2	2	no	—
797	C₂²×D₆₇	—	2	2	no	—
798	C₂²×D₆₇	—	2	2	no	—
799	C₂²×D₆₇	—	2	2	no	—
800	C₂²×D₆₇	—	2	8	no	—
801	C₂²×D₆₇	—	4	4	no	—
802	C₂²×D₆₇	—	4	4	no	—
803	C₂²×D₆₇	—	8	8	no	—
804	C₂²×D₆₇	C₂×#41	1	4	yes	—
805	C₂²×D₆₇	C₂⁵	1	2	yes	—
806	C₂²×D₆₇	C₂⁵	1	2	yes	—
807	Q₈×C₆₇	—	4	4	no	—
808	D₄×C₆₇	—	2	8	no	—
809	D₄×C₆₇	—	2	8	no	—
810	D₄×C₆₇	—	4	4	no	—
811	D₄×C₆₇	—	4	4	no	—
812	D₄×C₆₇	—	4	4	no	—
813	D₄×C₆₇	—	4	4	no	—
814	D₄×C₆₇	—	4	4	no	—
815	C₂×C₄×C₆₇	—	2	2	no	—
816	C₂×C₄×C₆₇	—	2	2	no	—
817	C₂×C₄×C₆₇	—	2	2	no	—
818	C₂×C₄×C₆₇	—	2	2	no	—
819	C₂×C₄×C₆₇	—	2	2	no	—
820	C₂×C₄×C₆₇	—	2	2	no	—
821	C₂×C₄×C₆₇	—	2	2	no	—
822	C₂×C₄×C₆₇	—	2	2	no	—
823	C₂×C₄×C₆₇	—	2	2	no	—
824	C₂×C₄×C₆₇	—	2	2	no	—
825	C₂×C₄×C₆₇	—	4	4	no	—
826	C₂×C₄×C₆₇	—	4	4	no	—
827	C₂×C₄×C₆₇	—	4	4	no	—
828	C₂×C₄×C₆₇	—	4	4	no	—
829	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
830	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
831	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
832	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
833	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
834	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
835	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
836	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
837	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
838	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
839	C₂²⋊D₆₇	—	2	8	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	4	no	—
846	C₂²⋊D₆₇	C₂×#41	1	16	yes	—
847	C₂×Dic₆₇	—	2	2	no	—
848	C₂×Dic₆₇	—	2	2	no	—
849	C₂×Dic₆₇	—	2	2	no	—
850	C₂×Dic₆₇	—	2	2	no	—
851	C₂×Dic₆₇	—	2	2	no	—
852	C₂×Dic₆₇	—	2	8	no	—
853	C₂×Dic₆₇	—	2	8	no	—
854	C₂×Dic₆₇	—	2	2	no	—
855	C₂×Dic₆₇	—	2	2	no	—
856	C₂×Dic₆₇	—	2	2	no	—
857	C₂×Dic₆₇	—	2	2	no	—
858	C₂×Dic₆₇	—	2	2	no	—
859	C₂×Dic₆₇	—	2	2	no	—
860	C₂×Dic₆₇	—	2	2	no	—
861	C₂×Dic₆₇	—	2	2	no	—
862	C₂×Dic₆₇	—	2	8	no	—
863	C₂×Dic₆₇	—	2	8	no	—
864	C₂×Dic₆₇	—	2	8	no	—
865	C₂×Dic₆₇	—	4	4	no	—
866	C₂×Dic₆₇	—	4	4	no	—
867	C₂×Dic₆₇	—	4	4	no	—
868	C₂×Dic₆₇	—	4	4	no	—
869	C₂×Dic₆₇	—	4	4	no	—
870	C₂×Dic₆₇	—	4	4	no	—
871	C₂×Dic₆₇	C₂×#41	1	4	yes	—
872	C₂×Dic₆₇	C₂⁵	1	2	yes	—
873	C₂×Dic₆₇	C₂⁵	1	2	yes	—
874	C₂×Dic₆₇	C₂⁵	1	2	yes	—
875	C₂×Dic₆₇	C₂⁵	1	2	yes	—
876	C₂×Dic₆₇	C₂⁵	1	2	yes	—
877	C₂×Dic₆₇	C₂⁵	1	2	yes	—
878	C₂×Dic₆₇	C₂⁵	1	2	yes	—
879	C₂×Dic₆₇	C₂⁵	1	2	yes	—
880	C₂×Dic₆₇	C₂⁵	1	2	yes	—
881	C₂×Dic₆₇	C₂⁵	1	2	yes	—
882	C₂×Dic₆₇	C₂⁵	1	2	yes	—
883	C₂×Dic₆₇	C₂⁵	1	2	yes	—
884	C₂×Dic₆₇	C₂⁵	1	2	yes	—
885	C₂×Dic₆₇	C₂⁵	1	2	yes	—
886	C₄×D₆₇	—	2	8	no	—
887	C₄×D₆₇	—	2	8	no	—
888	C₄×D₆₇	—	4	4	no	—
889	C₄×D₆₇	—	4	4	no	—
890	C₄×D₆₇	—	4	4	no	—
891	C₄×D₆₇	—	4	4	no	—
892	C₄×D₆₇	—	4	4	no	—
893	C₄×D₆₇	—	4	4	no	—
894	Dic₁₃₄	—	2	8	no	—
895	Dic₁₃₄	—	2	8	no	—
896	Dic₁₃₄	—	4	4	no	—
897	Dic₁₃₄	—	4	4	no	—
898	C₂²×C₆₇	—	2	2	no	—
899	C₂²×C₆₇	—	2	2	no	—
900	C₂²×C₆₇	—	2	8	no	—
901	C₂²×C₆₇	—	2	2	no	—
902	C₂²×C₆₇	—	2	2	no	—
903	C₂²×C₆₇	—	2	2	no	—
904	C₂²×C₆₇	—	2	2	no	—
905	C₂²×C₆₇	—	2	2	no	—
906	C₂²×C₆₇	—	2	2	no	—
907	C₂²×C₆₇	—	2	2	no	—
908	C₂²×C₆₇	—	2	2	no	—
909	C₂²×C₆₇	—	2	2	no	—
910	C₂²×C₆₇	—	2	2	no	—
911	C₂²×C₆₇	—	2	2	no	—
912	C₂²×C₆₇	—	2	2	no	—
913	C₂²×C₆₇	—	4	4	no	—
914	C₂²×C₆₇	—	4	4	no	—
915	C₂²×C₆₇	—	4	4	no	—
916	C₂²×C₆₇	—	4	4	no	—
917	C₂²×C₆₇	—	8	8	no	—
918	C₂²×C₆₇	C₂²×#41	1	4	yes	—
919	C₂²×C₆₇	C₂²×#41	1	2	yes	—
920	C₂²×C₆₇	#585	1	2	yes	—
921	C₂²×C₆₇	#585	1	2	yes	—
922	C₂²×C₆₇	C₂⁶	1	1	yes	characteristic
923	C₂×D₆₇	—	2	2	no	—
924	C₂×D₆₇	—	2	2	no	—
925	C₂×D₆₇	—	2	8	no	—
926	C₂×D₆₇	—	2	2	no	—
927	C₂×D₆₇	—	2	2	no	—
928	C₂×D₆₇	—	2	2	no	—
929	C₂×D₆₇	—	4	4	no	—
930	C₂×D₆₇	—	8	8	no	—
931	C₂×D₆₇	C₂²×#41	1	4	yes	—
932	C₄×C₆₇	—	2	2	no	—
933	C₄×C₆₇	—	2	2	no	—
934	C₄×C₆₇	—	2	2	no	—
935	C₄×C₆₇	—	2	2	no	—
936	C₄×C₆₇	—	2	2	no	—
937	C₄×C₆₇	—	2	2	no	—
938	C₄×C₆₇	—	2	2	no	—
939	C₄×C₆₇	—	2	2	no	—
940	C₄×C₆₇	—	2	2	no	—
941	C₄×C₆₇	—	2	2	no	—
942	Dic₆₇	—	2	2	no	—
943	Dic₆₇	—	2	2	no	—
944	Dic₆₇	—	2	2	no	—
945	Dic₆₇	—	2	2	no	—
946	Dic₆₇	—	2	2	no	—
947	Dic₆₇	—	2	2	no	—
948	Dic₆₇	—	2	2	no	—
949	Dic₆₇	—	2	2	no	—
950	Dic₆₇	—	2	2	no	—
951	Dic₆₇	—	2	2	no	—
952	Dic₆₇	—	2	2	no	—
953	Dic₆₇	—	2	2	no	—
954	Dic₆₇	—	2	2	no	—
955	Dic₆₇	C₂²×#41	1	4	yes	—
956	C₂×#3521	—	67	1	no	maximal, Sylow
957	C₂×C₆₇	—	2	4	no	—
958	C₂×C₆₇	—	4	2	no	—
959	C₂×C₆₇	—	4	2	no	—
960	C₂×C₆₇	—	4	2	no	—
961	C₂×C₆₇	—	4	2	no	—
962	C₂×C₆₇	#3521	1	4	yes	complemented
963	C₂×C₆₇	C₂³×#41	1	1	yes	characteristic
964	C₂×C₆₇	C₂×#585	1	1	yes	characteristic
965	C₂×C₆₇	C₂×#585	1	1	yes	characteristic
966	D₆₇	—	2	4	no	—
967	D₆₇	—	4	2	no	—
968	#3521	—	67	32	no	—
969	C₂×#556	—	67	1	no	—
970	C₂×#556	—	67	1	no	—
971	C₂×#554	—	67	1	no	—
972	C₂×#553	—	67	1	no	—
973	C₂×#553	—	67	1	no	—
974	C₂×#553	—	67	1	no	—
975	C₂×#552	—	67	1	no	—
976	C₂×#552	—	67	1	no	—
977	C₂×#552	—	67	1	no	—
978	C₂×#551	—	67	1	no	—
979	C₂×#551	—	67	1	no	—
980	C₂×#551	—	67	1	no	—
981	C₂×#551	—	67	1	no	—
982	C₂×#547	—	67	1	no	—
983	C₂×#546	—	67	1	no	—
984	C₂×#546	—	67	1	no	—
985	C₂×#542	—	67	1	no	—
986	C₂×#541	—	67	1	no	—
987	C₂×#539	—	67	1	no	—
988	C₂×#539	—	67	1	no	—
989	C₂×#538	—	67	1	no	—
990	C₂×#538	D₆₇	1	1	yes	characteristic, complemented
991	C₂×#529	—	67	1	no	—
992	C₂×#529	—	67	1	no	—
993	C₂×#529	—	67	1	no	—
994	C₂×#529	—	67	1	no	—
995	C₂²×#126	—	67	1	no	—
996	C₂²×#126	—	67	1	no	—
997	C₂×#520	—	67	1	no	—
998	C₂×#518	—	67	1	no	—
999	C₂×C₄×#41	—	67	1	no	—
1000	C₆₇	C₂×#3521	1	1	yes	characteristic, complemented, Sylow
1001	C₂²×#41	—	67	1	no	—
1002	C₂²×#41	—	67	1	no	—
1003	C₂³×D₄	—	67	1	no	—
1004	#556	—	67	16	no	—
1005	#556	—	67	16	no	—
1006	#554	—	67	16	no	—
1007	#553	—	67	16	no	—
1008	#553	—	67	16	no	—
1009	#553	—	67	16	no	—
1010	#552	—	67	16	no	—
1011	#552	—	67	16	no	—
1012	#552	—	67	16	no	—
1013	#551	—	67	16	no	—
1014	#551	—	67	16	no	—
1015	#551	—	67	16	no	—
1016	#551	—	67	16	no	—
1017	#547	—	67	16	no	—
1018	#546	—	67	16	no	—
1019	#546	—	67	16	no	—
1020	#542	—	67	16	no	—
1021	#541	—	67	16	no	—
1022	#539	—	67	16	no	—
1023	#539	—	67	16	no	—
1024	#538	—	67	16	no	—
1025	#538	C₂×D₆₇	1	16	yes	complemented
1026	C₂×C₄⋊Q₈	—	67	1	no	—
1027	C₂×C₄⋊Q₈	—	67	1	no	—
1028	#529	—	67	16	no	—
1029	#529	—	67	16	no	—
1030	#529	—	67	16	no	—
1031	#529	—	67	16	no	—
1032	C₂×#126	—	67	16	no	—
1033	C₂×#126	—	67	1	no	—
1034	C₂×#126	—	67	1	no	—
1035	C₂×#126	—	67	1	no	—
1036	C₂×#126	—	67	1	no	—
1037	C₂×#126	—	67	1	no	—
1038	C₂×#126	—	67	1	no	—
1039	C₂×#126	—	67	1	no	—
1040	C₂×#126	—	67	1	no	—
1041	C₂×#126	—	67	1	no	—
1042	C₂×#126	—	67	1	no	—
1043	C₂×#126	—	67	1	no	—
1044	C₂×#126	—	67	1	no	—
1045	C₂×#126	—	67	1	no	—
1046	C₂×#126	—	67	1	no	—
1047	C₂×#126	—	67	16	no	—
1048	C₂×#126	—	67	1	no	—
1049	C₂×#126	—	67	1	no	—
1050	C₂×#126	—	67	1	no	—
1051	C₂×#126	—	67	1	no	—
1052	C₂×#126	—	67	1	no	—
1053	C₂×#126	—	67	1	no	—
1054	C₂×#126	C₂×D₆₇	1	1	yes	characteristic
1055	C₂×#126	C₂×D₆₇	1	1	yes	characteristic, complemented
1056	C₂×#125	—	67	1	no	—
1057	C₂×#125	—	67	1	no	—
1058	C₂×#125	—	67	1	no	—
1059	C₂×#125	—	67	1	no	—
1060	C₂×#125	—	67	1	no	—
1061	C₂×#125	—	67	1	no	—
1062	C₂×#125	—	67	1	no	—
1063	C₂×#125	—	67	1	no	—
1064	C₂×#125	—	67	1	no	—
1065	C₂×#124	—	67	1	no	—
1066	C₂×#124	—	67	1	no	—
1067	C₂×#124	—	67	1	no	—
1068	C₂×#124	—	67	1	no	—
1069	C₂×#124	—	67	1	no	—
1070	C₂×#124	C₂×D₆₇	1	1	yes	characteristic
1071	C₂×#124	C₂×D₆₇	1	1	yes	characteristic, complemented
1072	C₂×#123	—	67	1	no	—
1073	C₂×#123	—	67	1	no	—
1074	C₂×#123	—	67	1	no	—
1075	C₂×#123	—	67	1	no	—
1076	C₂×#123	—	67	1	no	—
1077	C₂×#123	—	67	1	no	—
1078	C₂×#123	—	67	1	no	—
1079	C₂×#123	—	67	1	no	—
1080	C₂×#123	—	67	1	no	—
1081	C₂×#123	—	67	1	no	—
1082	C₂×#123	—	67	1	no	—
1083	C₂×#123	—	67	1	no	—
1084	C₂×#123	—	67	1	no	—
1085	C₂×#123	—	67	1	no	—
1086	C₂×#123	—	67	1	no	—
1087	C₂×#123	—	67	1	no	—
1088	C₂×#123	C₂×D₆₇	1	1	yes	characteristic
1089	C₂×#123	C₂×D₆₇	1	1	yes	characteristic, complemented
1090	C₂×C₂²⋊Q₈	—	67	1	no	—
1091	C₂×C₂²⋊Q₈	—	67	1	no	—
1092	C₂×C₂²⋊Q₈	—	67	1	no	—
1093	C₂×C₂²⋊Q₈	—	67	1	no	—
1094	C₂×C₂²⋊Q₈	—	67	1	no	—
1095	C₂×C₂²⋊Q₈	—	67	1	no	—
1096	C₂×C₂²⋊Q₈	—	67	1	no	—
1097	C₂×C₂²⋊Q₈	—	67	1	no	—
1098	C₂×C₂²⋊Q₈	—	67	1	no	—
1099	C₂×C₂²⋊Q₈	—	67	1	no	—
1100	C₂×C₂²⋊Q₈	—	67	1	no	—
1101	C₂×C₂²⋊Q₈	—	67	1	no	—
1102	C₂×C₂²⋊Q₈	—	67	1	no	—
1103	C₂×C₂²⋊Q₈	—	67	1	no	—
1104	C₂×C₂²⋊Q₈	C₂×D₆₇	1	1	yes	characteristic, complemented
1105	C₂×#121	—	67	1	no	—
1106	C₂×#121	—	67	1	no	—
1107	C₂×#121	—	67	1	no	—
1108	C₂×#121	—	67	1	no	—
1109	C₂×#121	—	67	1	no	—
1110	C₂×#121	—	67	1	no	—
1111	C₂×#121	—	67	1	no	—
1112	C₂×#121	—	67	1	no	—
1113	C₂×#121	C₂×D₆₇	1	1	yes	characteristic
1114	C₂×#121	C₂×D₆₇	1	1	yes	characteristic, complemented
1115	C₂×#121	C₂×D₆₇	1	1	yes	characteristic, complemented
1116	C₂×#120	—	67	1	no	—
1117	C₂×#120	—	67	1	no	—
1118	C₂×#120	C₂×D₆₇	1	1	yes	characteristic
1119	C₂×#120	C₂×D₆₇	1	1	yes	characteristic
1120	#520	—	67	16	no	—
1121	#518	—	67	16	no	—
1122	C₄×#41	—	67	16	no	—
1123	C₂×C₄×Q₈	—	67	1	no	—
1124	C₂×C₄×Q₈	—	67	1	no	—
1125	C₂×C₄×Q₈	—	67	1	no	—
1126	C₂×C₄×Q₈	—	67	1	no	—
1127	C₂×C₄×Q₈	—	67	1	no	—
1128	C₂×C₄×Q₈	—	67	1	no	—
1129	C₂×C₄×Q₈	—	67	1	no	—
1130	C₂×C₄×D₄	—	67	1	no	—
1131	C₂×C₄×D₄	—	67	1	no	—
1132	C₂×C₄×D₄	—	67	1	no	—
1133	C₂×C₄×D₄	—	67	1	no	—
1134	C₂×C₄×D₄	—	67	1	no	—
1135	C₂×C₄×D₄	—	67	1	no	—
1136	C₂×C₄×D₄	—	67	1	no	—
1137	C₂×C₄×D₄	—	67	1	no	—
1138	C₂×C₄×D₄	—	67	1	no	—
1139	C₂×C₄×D₄	—	67	1	no	—
1140	C₂×C₄×D₄	—	67	1	no	—
1141	C₂×C₄×D₄	—	67	1	no	—
1142	C₂×C₄×D₄	—	67	1	no	—
1143	C₂×C₄×D₄	—	67	1	no	—
1144	C₂×C₄×D₄	—	67	1	no	—
1145	C₂×C₄×D₄	—	67	1	no	—
1146	C₂×C₄×D₄	—	67	1	no	—
1147	C₂×C₄×D₄	—	67	1	no	—
1148	C₂×C₄×D₄	—	67	1	no	—
1149	C₂×C₄×D₄	—	67	1	no	—
1150	C₂×C₄×D₄	—	67	1	no	—
1151	C₂×C₄×D₄	—	67	1	no	—
1152	C₂×C₄×D₄	—	67	1	no	—
1153	C₂×C₄×D₄	C₂×D₆₇	1	1	yes	characteristic, complemented
1154	C₂×C₄×D₄	C₂×D₆₇	1	1	yes	characteristic, complemented
1155	C₂×#117	—	67	1	no	—
1156	C₂×#117	—	67	1	no	—
1157	C₂×#117	—	67	1	no	—
1158	C₂×#117	—	67	1	no	—
1159	C₂×#117	—	67	1	no	—
1160	C₂×#117	—	67	1	no	—
1161	C₂×#117	—	67	1	no	—
1162	C₂×#117	—	67	1	no	—
1163	C₂×#117	—	67	1	no	—
1164	C₂×#117	—	67	1	no	—
1165	C₂×#117	—	67	1	no	—
1166	C₂×#117	—	67	1	no	—
1167	C₂×#117	—	67	1	no	—
1168	C₂×#117	—	67	1	no	—
1169	C₂²×C₄⋊C₄	—	67	1	no	—
1170	C₂²×C₄⋊C₄	—	67	1	no	—
1171	C₂²×C₄⋊C₄	—	67	1	no	—
1172	C₂²×C₄⋊C₄	—	67	1	no	—
1173	C₂²×C₄⋊C₄	—	67	1	no	—
1174	C₂²×C₄⋊C₄	—	67	1	no	—
1175	C₂²×C₄⋊C₄	—	67	1	no	—
1176	C₂²×C₂²⋊C₄	—	67	1	no	—
1177	C₂²×C₂²⋊C₄	—	67	1	no	—
1178	C₂²×C₂²⋊C₄	—	67	1	no	—
1179	C₂²×C₂²⋊C₄	—	67	1	no	—
1180	C₂²×C₂²⋊C₄	—	67	1	no	—
1181	C₂²×C₂²⋊C₄	—	67	1	no	—
1182	C₂²×C₂²⋊C₄	—	67	1	no	—
1183	C₂²×C₂²⋊C₄	C₂×D₆₇	1	1	yes	characteristic
1184	C₂²×C₄²	—	67	1	no	—
1185	C₂²×C₄²	—	67	1	no	—
1186	C₂²×C₄²	—	67	1	no	—
1187	C₂⁵	—	67	1	no	—
1188	C₂⁵	C₂²×D₆₇	1	1	yes	characteristic
1189	C₂×#41	—	67	8	no	—
1190	C₂×#41	—	67	8	no	—
1191	C₂×#41	—	134	8	no	—
1192	C₂×#41	—	134	8	no	—
1193	C₂²×Q₈	—	67	1	no	—
1194	C₂²×Q₈	—	67	1	no	—
1195	C₂²×Q₈	—	67	1	no	—
1196	C₂²×Q₈	—	67	1	no	—
1197	C₂²×Q₈	C₂²×D₆₇	1	1	yes	characteristic
1198	C₂²×D₄	—	67	1	no	—
1199	C₂²×D₄	—	67	1	no	—
1200	C₂²×D₄	—	67	1	no	—
1201	C₂²×D₄	—	67	1	no	—
1202	C₂²×D₄	—	67	1	no	—
1203	C₂²×D₄	—	67	1	no	—
1204	C₂²×D₄	—	67	1	no	—
1205	C₂²×D₄	—	67	1	no	—
1206	C₂²×D₄	—	67	8	no	—
1207	C₂²×D₄	—	134	8	no	—
1208	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1209	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1210	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1211	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1212	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1213	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1214	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1215	C₂³×C₄	—	67	1	no	—
1216	C₂³×C₄	—	67	1	no	—
1217	C₂³×C₄	—	67	1	no	—
1218	C₂³×C₄	—	67	1	no	—
1219	C₂³×C₄	—	67	1	no	—
1220	C₂³×C₄	—	67	1	no	—
1221	C₂³×C₄	—	67	1	no	—
1222	C₂³×C₄	—	67	1	no	—
1223	C₂³×C₄	—	67	1	no	—
1224	C₂³×C₄	—	67	1	no	—
1225	C₂³×C₄	—	67	1	no	—
1226	C₂³×C₄	—	67	1	no	—
1227	C₂³×C₄	—	67	1	no	—
1228	C₂³×C₄	—	67	1	no	—
1229	C₂³×C₄	—	67	1	no	—
1230	C₂³×C₄	—	67	1	no	—
1231	C₂³×C₄	—	67	1	no	—
1232	C₂³×C₄	—	67	1	no	—
1233	C₂³×C₄	—	67	1	no	—
1234	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1235	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1236	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1237	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1238	C₄⋊Q₈	—	67	8	no	—
1239	C₄⋊Q₈	—	67	8	no	—
1240	#126	—	67	8	no	—
1241	#126	—	67	8	no	—
1242	#126	—	67	8	no	—
1243	#126	—	67	8	no	—
1244	#126	—	67	8	no	—
1245	#126	—	67	8	no	—
1246	#126	—	67	8	no	—
1247	#126	—	67	8	no	—
1248	#126	—	67	8	no	—
1249	#126	—	67	8	no	—
1250	#126	—	67	8	no	—
1251	#126	—	67	8	no	—
1252	#126	—	67	8	no	—
1253	#126	—	67	8	no	—
1254	#126	—	67	8	no	—
1255	#126	—	67	8	no	—
1256	#126	—	67	8	no	—
1257	#126	—	67	8	no	—
1258	#126	—	67	8	no	—
1259	#126	—	67	8	no	—
1260	#126	C₂²×D₆₇	1	8	yes	—
1261	#126	C₂²×D₆₇	1	8	yes	complemented
1262	#125	—	67	8	no	—
1263	#125	—	67	8	no	—
1264	#125	—	67	8	no	—
1265	#125	—	67	8	no	—
1266	#125	—	67	8	no	—
1267	#125	—	67	8	no	—
1268	#125	—	67	8	no	—
1269	#125	—	67	8	no	—
1270	#125	—	67	8	no	—
1271	#124	—	67	8	no	—
1272	#124	—	67	8	no	—
1273	#124	—	67	8	no	—
1274	#124	—	67	8	no	—
1275	#124	—	67	8	no	—
1276	#124	C₂²×D₆₇	1	8	yes	—
1277	#124	C₂²×D₆₇	1	8	yes	complemented
1278	#123	—	67	8	no	—
1279	#123	—	67	8	no	—
1280	#123	—	67	8	no	—
1281	#123	—	67	8	no	—
1282	#123	—	67	8	no	—
1283	#123	—	67	8	no	—
1284	#123	—	67	8	no	—
1285	#123	—	67	8	no	—
1286	#123	—	67	8	no	—
1287	#123	—	67	8	no	—
1288	#123	—	67	8	no	—
1289	#123	—	67	8	no	—
1290	#123	—	67	8	no	—
1291	#123	—	67	8	no	—
1292	#123	—	67	8	no	—
1293	#123	—	67	8	no	—
1294	#123	C₂²×D₆₇	1	8	yes	—
1295	#123	C₂²×D₆₇	1	8	yes	complemented
1296	C₂²⋊Q₈	—	67	8	no	—
1297	C₂²⋊Q₈	—	67	8	no	—
1298	C₂²⋊Q₈	—	67	8	no	—
1299	C₂²⋊Q₈	—	67	8	no	—
1300	C₂²⋊Q₈	—	67	8	no	—
1301	C₂²⋊Q₈	—	67	8	no	—
1302	C₂²⋊Q₈	—	67	8	no	—
1303	C₂²⋊Q₈	—	67	8	no	—
1304	C₂²⋊Q₈	—	67	8	no	—
1305	C₂²⋊Q₈	—	67	8	no	—
1306	C₂²⋊Q₈	—	67	8	no	—
1307	C₂²⋊Q₈	—	67	8	no	—
1308	C₂²⋊Q₈	—	67	8	no	—
1309	C₂²⋊Q₈	—	67	8	no	—
1310	C₂²⋊Q₈	C₂²×D₆₇	1	8	yes	complemented
1311	#121	—	67	8	no	—
1312	#121	—	67	8	no	—
1313	#121	—	67	8	no	—
1314	#121	—	67	8	no	—
1315	#121	—	67	8	no	—
1316	#121	—	67	8	no	—
1317	#121	—	67	8	no	—
1318	#121	—	67	8	no	—
1319	#121	C₂²×D₆₇	1	8	yes	—
1320	#121	C₂²×D₆₇	1	8	yes	complemented
1321	#121	C₂²×D₆₇	1	8	yes	complemented
1322	#120	—	67	8	no	—
1323	#120	—	67	8	no	—
1324	#120	C₂²×D₆₇	1	8	yes	—
1325	#120	C₂²×D₆₇	1	8	yes	—
1326	C₄×Q₈	—	67	8	no	—
1327	C₄×Q₈	—	67	8	no	—
1328	C₄×Q₈	—	67	8	no	—
1329	C₄×Q₈	—	67	8	no	—
1330	C₄×Q₈	—	67	8	no	—
1331	C₄×Q₈	—	67	8	no	—
1332	C₄×Q₈	—	67	8	no	—
1333	C₄×D₄	—	67	8	no	—
1334	C₄×D₄	—	67	8	no	—
1335	C₄×D₄	—	67	8	no	—
1336	C₄×D₄	—	67	8	no	—
1337	C₄×D₄	—	67	8	no	—
1338	C₄×D₄	—	67	8	no	—
1339	C₄×D₄	—	67	8	no	—
1340	C₄×D₄	—	67	8	no	—
1341	C₄×D₄	—	67	8	no	—
1342	C₄×D₄	—	67	8	no	—
1343	C₄×D₄	—	67	8	no	—
1344	C₄×D₄	—	67	8	no	—
1345	C₄×D₄	—	67	8	no	—
1346	C₄×D₄	—	67	8	no	—
1347	C₄×D₄	—	67	8	no	—
1348	C₄×D₄	—	67	8	no	—
1349	C₄×D₄	—	67	8	no	—
1350	C₄×D₄	—	67	8	no	—
1351	C₄×D₄	—	67	8	no	—
1352	C₄×D₄	—	67	8	no	—
1353	C₄×D₄	—	67	8	no	—
1354	C₄×D₄	—	67	8	no	—
1355	C₄×D₄	—	67	8	no	—
1356	C₄×D₄	C₂²×D₆₇	1	8	yes	complemented
1357	C₄×D₄	C₂²×D₆₇	1	8	yes	complemented
1358	#117	—	67	8	no	—
1359	#117	—	67	8	no	—
1360	#117	—	67	8	no	—
1361	#117	—	67	8	no	—
1362	#117	—	67	8	no	—
1363	#117	—	67	8	no	—
1364	#117	—	67	8	no	—
1365	#117	—	67	8	no	—
1366	#117	—	67	8	no	—
1367	#117	—	67	8	no	—
1368	#117	—	67	8	no	—
1369	#117	—	67	8	no	—
1370	#117	—	67	8	no	—
1371	#117	—	67	8	no	—
1372	C₂×C₄⋊C₄	—	67	1	no	—
1373	C₂×C₄⋊C₄	—	67	1	no	—
1374	C₂×C₄⋊C₄	—	67	1	no	—
1375	C₂×C₄⋊C₄	—	67	1	no	—
1376	C₂×C₄⋊C₄	—	67	1	no	—
1377	C₂×C₄⋊C₄	—	67	1	no	—
1378	C₂×C₄⋊C₄	—	67	1	no	—
1379	C₂×C₄⋊C₄	—	67	1	no	—
1380	C₂×C₄⋊C₄	—	67	1	no	—
1381	C₂×C₄⋊C₄	—	67	1	no	—
1382	C₂×C₄⋊C₄	—	67	1	no	—
1383	C₂×C₄⋊C₄	—	67	1	no	—
1384	C₂×C₄⋊C₄	—	67	1	no	—
1385	C₂×C₄⋊C₄	—	67	1	no	—
1386	C₂×C₄⋊C₄	—	67	8	no	—
1387	C₂×C₄⋊C₄	—	67	8	no	—
1388	C₂×C₄⋊C₄	—	67	1	no	—
1389	C₂×C₄⋊C₄	—	67	1	no	—
1390	C₂×C₄⋊C₄	—	67	1	no	—
1391	C₂×C₄⋊C₄	—	67	1	no	—
1392	C₂×C₄⋊C₄	—	67	1	no	—
1393	C₂×C₄⋊C₄	—	67	1	no	—
1394	C₂×C₄⋊C₄	—	67	8	no	—
1395	C₂×C₄⋊C₄	—	67	8	no	—
1396	C₂×C₄⋊C₄	—	67	1	no	—
1397	C₂×C₄⋊C₄	—	67	1	no	—
1398	C₂×C₄⋊C₄	—	67	1	no	—
1399	C₂×C₄⋊C₄	—	67	1	no	—
1400	C₂×C₄⋊C₄	—	67	1	no	—
1401	C₂×C₄⋊C₄	—	67	1	no	—
1402	C₂×C₄⋊C₄	—	67	1	no	—
1403	C₂×C₄⋊C₄	—	67	1	no	—
1404	C₂×C₄⋊C₄	—	67	1	no	—
1405	C₂×C₄⋊C₄	—	67	1	no	—
1406	C₂×C₄⋊C₄	—	67	1	no	—
1407	C₂×C₄⋊C₄	—	67	1	no	—
1408	C₂×C₄⋊C₄	—	67	1	no	—
1409	C₂×C₄⋊C₄	—	67	1	no	—
1410	C₂×C₄⋊C₄	—	67	1	no	—
1411	C₂×C₄⋊C₄	—	67	1	no	—
1412	C₂×C₄⋊C₄	—	67	1	no	—
1413	C₂×C₄⋊C₄	—	67	1	no	—
1414	C₂×C₄⋊C₄	—	67	1	no	—
1415	C₂×C₄⋊C₄	—	67	1	no	—
1416	C₂×C₄⋊C₄	—	67	8	no	—
1417	C₂×C₄⋊C₄	—	67	8	no	—
1418	C₂×C₄⋊C₄	—	67	8	no	—
1419	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1420	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1421	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1422	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1423	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1424	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1425	C₂×C₂²⋊C₄	—	67	1	no	—
1426	C₂×C₂²⋊C₄	—	67	1	no	—
1427	C₂×C₂²⋊C₄	—	67	1	no	—
1428	C₂×C₂²⋊C₄	—	67	1	no	—
1429	C₂×C₂²⋊C₄	—	67	1	no	—
1430	C₂×C₂²⋊C₄	—	67	1	no	—
1431	C₂×C₂²⋊C₄	—	67	1	no	—
1432	C₂×C₂²⋊C₄	—	67	1	no	—
1433	C₂×C₂²⋊C₄	—	67	8	no	—
1434	C₂×C₂²⋊C₄	—	67	1	no	—
1435	C₂×C₂²⋊C₄	—	67	1	no	—
1436	C₂×C₂²⋊C₄	—	67	1	no	—
1437	C₂×C₂²⋊C₄	—	67	1	no	—
1438	C₂×C₂²⋊C₄	—	67	8	no	—
1439	C₂×C₂²⋊C₄	—	67	8	no	—
1440	C₂×C₂²⋊C₄	—	67	1	no	—
1441	C₂×C₂²⋊C₄	—	67	1	no	—
1442	C₂×C₂²⋊C₄	—	67	1	no	—
1443	C₂×C₂²⋊C₄	—	67	1	no	—
1444	C₂×C₂²⋊C₄	—	67	1	no	—
1445	C₂×C₂²⋊C₄	—	67	1	no	—
1446	C₂×C₂²⋊C₄	—	67	1	no	—
1447	C₂×C₂²⋊C₄	—	67	1	no	—
1448	C₂×C₂²⋊C₄	—	67	1	no	—
1449	C₂×C₂²⋊C₄	—	67	1	no	—
1450	C₂×C₂²⋊C₄	—	67	1	no	—
1451	C₂×C₂²⋊C₄	—	67	1	no	—
1452	C₂×C₂²⋊C₄	—	67	1	no	—
1453	C₂×C₂²⋊C₄	—	67	1	no	—
1454	C₂×C₂²⋊C₄	—	67	1	no	—
1455	C₂×C₂²⋊C₄	—	67	1	no	—
1456	C₂×C₂²⋊C₄	—	67	1	no	—
1457	C₂×C₂²⋊C₄	—	67	1	no	—
1458	C₂×C₂²⋊C₄	—	67	1	no	—
1459	C₂×C₂²⋊C₄	—	67	1	no	—
1460	C₂×C₂²⋊C₄	—	67	8	no	—
1461	C₂×C₂²⋊C₄	—	67	8	no	—
1462	C₂×C₂²⋊C₄	—	67	8	no	—
1463	C₂×C₂²⋊C₄	—	67	8	no	—
1464	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1465	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1466	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1467	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1468	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1469	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1470	C₂×C₂²⋊C₄	C₂²×D₆₇	1	8	yes	—
1471	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1472	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1473	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1474	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1475	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1476	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1477	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1478	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1479	C₂×C₄²	—	67	1	no	—
1480	C₂×C₄²	—	67	1	no	—
1481	C₂×C₄²	—	67	1	no	—
1482	C₂×C₄²	—	67	1	no	—
1483	C₂×C₄²	—	67	1	no	—
1484	C₂×C₄²	—	67	1	no	—
1485	C₂×C₄²	—	67	1	no	—
1486	C₂×C₄²	—	67	1	no	—
1487	C₂×C₄²	—	67	1	no	—
1488	C₂×C₄²	—	67	1	no	—
1489	C₂×C₄²	—	67	1	no	—
1490	C₂×C₄²	—	67	1	no	—
1491	C₂×C₄²	—	67	1	no	—
1492	C₂×C₄²	—	67	1	no	—
1493	C₂×C₄²	—	67	1	no	—
1494	C₂×C₄²	—	67	8	no	—
1495	C₂×C₄²	—	67	8	no	—
1496	C₂×C₄²	—	67	1	no	—
1497	C₂×C₄²	—	67	8	no	—
1498	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
1499	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
1500	C₂⁴	—	2	4	no	—
1501	C₂⁴	—	4	2	no	—
1502	C₂⁴	—	4	2	no	—
1503	C₂⁴	—	268	2	no	—
1504	C₂⁴	—	268	2	no	—
1505	C₂⁴	—	67	4	no	—
1506	C₂⁴	—	67	1	no	—
1507	C₂⁴	—	67	1	no	—
1508	C₂⁴	—	134	4	no	—
1509	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1510	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1511	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1512	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1513	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1514	C₂⁴	C₂³×D₆₇	1	4	yes	—
1515	#41	—	134	32	no	—
1516	#41	—	134	32	no	—
1517	C₂×Q₈	—	4	2	no	—
1518	C₂×Q₈	—	268	2	no	—
1519	C₂×Q₈	—	268	2	no	—
1520	C₂×Q₈	—	67	4	no	—
1521	C₂×Q₈	—	67	4	no	—
1522	C₂×Q₈	—	67	4	no	—
1523	C₂×Q₈	—	67	4	no	—
1524	C₂×Q₈	—	134	4	no	—
1525	C₂×Q₈	—	134	4	no	—
1526	C₂×Q₈	C₂³×D₆₇	1	4	yes	—
1527	C₂×D₄	—	2	4	no	—
1528	C₂×D₄	—	2	4	no	—
1529	C₂×D₄	—	4	2	no	—
1530	C₂×D₄	—	4	2	no	—
1531	C₂×D₄	—	4	2	no	—
1532	C₂×D₄	—	4	2	no	—
1533	C₂×D₄	—	4	2	no	—
1534	C₂×D₄	—	268	2	no	—
1535	C₂×D₄	—	268	2	no	—
1536	C₂×D₄	—	67	4	no	—
1537	C₂×D₄	—	67	4	no	—
1538	C₂×D₄	—	67	8	no	—
1539	C₂×D₄	—	67	4	no	—
1540	C₂×D₄	—	67	4	no	—
1541	C₂×D₄	—	67	4	no	—
1542	C₂×D₄	—	67	4	no	—
1543	C₂×D₄	—	67	4	no	—
1544	C₂×D₄	—	67	4	no	—
1545	C₂×D₄	—	134	4	no	—
1546	C₂×D₄	—	134	32	no	—
1547	C₂×D₄	—	134	4	no	—
1548	C₂×D₄	—	134	4	no	—
1549	C₂×D₄	—	134	4	no	—
1550	C₂×D₄	—	134	4	no	—
1551	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1552	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1553	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1554	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1555	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1556	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1557	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1558	C₂²×C₄	—	4	2	no	—
1559	C₂²×C₄	—	4	2	no	—
1560	C₂²×C₄	—	4	2	no	—
1561	C₂²×C₄	—	4	2	no	—
1562	C₂²×C₄	—	268	2	no	—
1563	C₂²×C₄	—	268	2	no	—
1564	C₂²×C₄	—	268	2	no	—
1565	C₂²×C₄	—	268	2	no	—
1566	C₂²×C₄	—	268	2	no	—
1567	C₂²×C₄	—	268	2	no	—
1568	C₂²×C₄	—	268	2	no	—
1569	C₂²×C₄	—	268	2	no	—
1570	C₂²×C₄	—	268	2	no	—
1571	C₂²×C₄	—	268	2	no	—
1572	C₂²×C₄	—	268	2	no	—
1573	C₂²×C₄	—	268	2	no	—
1574	C₂²×C₄	—	67	4	no	—
1575	C₂²×C₄	—	67	4	no	—
1576	C₂²×C₄	—	67	4	no	—
1577	C₂²×C₄	—	67	4	no	—
1578	C₂²×C₄	—	67	4	no	—
1579	C₂²×C₄	—	67	4	no	—
1580	C₂²×C₄	—	67	4	no	—
1581	C₂²×C₄	—	67	4	no	—
1582	C₂²×C₄	—	67	4	no	—
1583	C₂²×C₄	—	67	4	no	—
1584	C₂²×C₄	—	67	4	no	—
1585	C₂²×C₄	—	67	4	no	—
1586	C₂²×C₄	—	67	1	no	—
1587	C₂²×C₄	—	67	4	no	—
1588	C₂²×C₄	—	67	4	no	—
1589	C₂²×C₄	—	67	4	no	—
1590	C₂²×C₄	—	67	4	no	—
1591	C₂²×C₄	—	67	4	no	—
1592	C₂²×C₄	—	67	1	no	—
1593	C₂²×C₄	—	67	1	no	—
1594	C₂²×C₄	—	67	1	no	—
1595	C₂²×C₄	—	67	1	no	—
1596	C₂²×C₄	—	67	1	no	—
1597	C₂²×C₄	—	67	1	no	—
1598	C₂²×C₄	—	67	1	no	—
1599	C₂²×C₄	—	67	1	no	—
1600	C₂²×C₄	—	67	1	no	—
1601	C₂²×C₄	—	67	1	no	—
1602	C₂²×C₄	—	67	1	no	—
1603	C₂²×C₄	—	67	1	no	—
1604	C₂²×C₄	—	67	1	no	—
1605	C₂²×C₄	—	67	4	no	—
1606	C₂²×C₄	—	67	4	no	—
1607	C₂²×C₄	—	134	4	no	—
1608	C₂²×C₄	—	134	4	no	—
1609	C₂²×C₄	—	134	4	no	—
1610	C₂²×C₄	—	134	4	no	—
1611	C₂²×C₄	—	134	4	no	—
1612	C₂²×C₄	—	134	4	no	—
1613	C₂²×C₄	—	134	4	no	—
1614	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1615	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1616	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1617	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1618	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1619	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1620	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1621	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1622	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1623	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1624	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1625	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1626	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1627	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1628	C₄⋊C₄	—	67	4	no	—
1629	C₄⋊C₄	—	67	4	no	—
1630	C₄⋊C₄	—	67	4	no	—
1631	C₄⋊C₄	—	67	4	no	—
1632	C₄⋊C₄	—	67	4	no	—
1633	C₄⋊C₄	—	67	4	no	—
1634	C₄⋊C₄	—	67	4	no	—
1635	C₄⋊C₄	—	67	4	no	—
1636	C₄⋊C₄	—	67	4	no	—
1637	C₄⋊C₄	—	67	4	no	—
1638	C₄⋊C₄	—	67	4	no	—
1639	C₄⋊C₄	—	67	4	no	—
1640	C₄⋊C₄	—	67	4	no	—
1641	C₄⋊C₄	—	67	4	no	—
1642	C₄⋊C₄	—	67	4	no	—
1643	C₄⋊C₄	—	67	4	no	—
1644	C₄⋊C₄	—	67	4	no	—
1645	C₄⋊C₄	—	67	4	no	—
1646	C₄⋊C₄	—	67	4	no	—
1647	C₄⋊C₄	—	67	4	no	—
1648	C₄⋊C₄	—	67	4	no	—
1649	C₄⋊C₄	—	67	4	no	—
1650	C₄⋊C₄	—	67	4	no	—
1651	C₄⋊C₄	—	67	4	no	—
1652	C₄⋊C₄	—	67	4	no	—
1653	C₄⋊C₄	—	67	4	no	—
1654	C₄⋊C₄	—	67	4	no	—
1655	C₄⋊C₄	—	67	4	no	—
1656	C₄⋊C₄	—	67	4	no	—
1657	C₄⋊C₄	—	67	4	no	—
1658	C₄⋊C₄	—	67	4	no	—
1659	C₄⋊C₄	—	67	4	no	—
1660	C₄⋊C₄	—	67	4	no	—
1661	C₄⋊C₄	—	67	4	no	—
1662	C₄⋊C₄	—	67	4	no	—
1663	C₄⋊C₄	—	67	4	no	—
1664	C₄⋊C₄	—	67	4	no	—
1665	C₄⋊C₄	—	67	4	no	—
1666	C₄⋊C₄	—	67	4	no	—
1667	C₄⋊C₄	—	67	4	no	—
1668	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1669	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1670	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1671	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1672	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1673	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1674	C₂²⋊C₄	—	67	4	no	—
1675	C₂²⋊C₄	—	67	4	no	—
1676	C₂²⋊C₄	—	67	4	no	—
1677	C₂²⋊C₄	—	67	4	no	—
1678	C₂²⋊C₄	—	67	4	no	—
1679	C₂²⋊C₄	—	67	4	no	—
1680	C₂²⋊C₄	—	67	4	no	—
1681	C₂²⋊C₄	—	67	4	no	—
1682	C₂²⋊C₄	—	67	4	no	—
1683	C₂²⋊C₄	—	67	4	no	—
1684	C₂²⋊C₄	—	67	4	no	—
1685	C₂²⋊C₄	—	67	4	no	—
1686	C₂²⋊C₄	—	67	4	no	—
1687	C₂²⋊C₄	—	67	4	no	—
1688	C₂²⋊C₄	—	67	4	no	—
1689	C₂²⋊C₄	—	67	4	no	—
1690	C₂²⋊C₄	—	67	4	no	—
1691	C₂²⋊C₄	—	67	4	no	—
1692	C₂²⋊C₄	—	67	4	no	—
1693	C₂²⋊C₄	—	67	4	no	—
1694	C₂²⋊C₄	—	67	4	no	—
1695	C₂²⋊C₄	—	67	4	no	—
1696	C₂²⋊C₄	—	67	4	no	—
1697	C₂²⋊C₄	—	67	4	no	—
1698	C₂²⋊C₄	—	67	4	no	—
1699	C₂²⋊C₄	—	67	4	no	—
1700	C₂²⋊C₄	—	67	4	no	—
1701	C₂²⋊C₄	—	67	4	no	—
1702	C₂²⋊C₄	—	67	4	no	—
1703	C₂²⋊C₄	—	67	4	no	—
1704	C₂²⋊C₄	—	67	4	no	—
1705	C₂²⋊C₄	—	67	4	no	—
1706	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1707	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1708	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1709	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1710	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1711	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1712	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1713	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1714	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1715	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1716	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1717	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1718	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1719	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1720	C₄²	—	67	4	no	—
1721	C₄²	—	67	4	no	—
1722	C₄²	—	67	4	no	—
1723	C₄²	—	67	4	no	—
1724	C₄²	—	67	4	no	—
1725	C₄²	—	67	4	no	—
1726	C₄²	—	67	4	no	—
1727	C₄²	—	67	4	no	—
1728	C₄²	—	67	4	no	—
1729	C₄²	—	67	4	no	—
1730	C₄²	—	67	4	no	—
1731	C₄²	—	67	4	no	—
1732	C₄²	—	67	4	no	—
1733	C₄²	—	67	4	no	—
1734	C₄²	—	67	4	no	—
1735	C₄²	—	67	4	no	—
1736	C₄²	C₂³×D₆₇	1	4	yes	—
1737	C₄²	C₂³×D₆₇	1	4	yes	—
1738	C₂³	—	2	2	no	—
1739	C₂³	—	2	2	no	—
1740	C₂³	—	2	2	no	—
1741	C₂³	—	2	2	no	—
1742	C₂³	—	2	2	no	—
1743	C₂³	—	2	2	no	—
1744	C₂³	—	2	2	no	—
1745	C₂³	—	2	2	no	—
1746	C₂³	—	2	2	no	—
1747	C₂³	—	2	2	no	—
1748	C₂³	—	2	2	no	—
1749	C₂³	—	2	2	no	—
1750	C₂³	—	2	2	no	—
1751	C₂³	—	2	2	no	—
1752	C₂³	—	2	8	no	—
1753	C₂³	—	4	4	no	—
1754	C₂³	—	4	4	no	—
1755	C₂³	—	8	8	no	—
1756	C₂³	—	268	4	no	—
1757	C₂³	—	268	4	no	—
1758	C₂³	—	536	8	no	—
1759	C₂³	—	67	4	no	—
1760	C₂³	—	67	2	no	—
1761	C₂³	—	67	2	no	—
1762	C₂³	—	134	8	no	—
1763	C₂³	—	134	2	no	—
1764	C₂³	—	134	2	no	—
1765	C₂³	—	134	2	no	—
1766	C₂³	—	134	2	no	—
1767	C₂³	—	134	2	no	—
1768	C₂³	#41×D₆₇	1	4	yes	—
1769	C₂³	C₂⁴×D₆₇	1	2	yes	—
1770	C₂³	C₂⁴×D₆₇	1	2	yes	—
1771	C₂³	C₂⁴×D₆₇	1	2	yes	—
1772	C₂³	C₂⁴×D₆₇	1	2	yes	—
1773	C₂³	C₂⁴×D₆₇	1	2	yes	—
1774	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
1775	Q₈	—	4	4	no	—
1776	Q₈	—	268	4	no	—
1777	Q₈	—	268	4	no	—
1778	Q₈	—	134	8	no	—
1779	Q₈	—	134	8	no	—
1780	D₄	—	2	8	no	—
1781	D₄	—	2	8	no	—
1782	D₄	—	4	4	no	—
1783	D₄	—	4	4	no	—
1784	D₄	—	4	4	no	—
1785	D₄	—	4	4	no	—
1786	D₄	—	4	4	no	—
1787	D₄	—	268	4	no	—
1788	D₄	—	268	4	no	—
1789	D₄	—	67	16	no	—
1790	D₄	—	134	8	no	—
1791	D₄	—	134	8	no	—
1792	D₄	—	134	8	no	—
1793	D₄	—	134	8	no	—
1794	D₄	—	134	8	no	—
1795	C₂×C₄	—	2	2	no	—
1796	C₂×C₄	—	2	2	no	—
1797	C₂×C₄	—	2	2	no	—
1798	C₂×C₄	—	2	2	no	—
1799	C₂×C₄	—	2	2	no	—
1800	C₂×C₄	—	2	2	no	—
1801	C₂×C₄	—	2	2	no	—
1802	C₂×C₄	—	2	2	no	—
1803	C₂×C₄	—	2	2	no	—
1804	C₂×C₄	—	2	2	no	—
1805	C₂×C₄	—	4	4	no	—
1806	C₂×C₄	—	4	4	no	—
1807	C₂×C₄	—	4	4	no	—
1808	C₂×C₄	—	4	4	no	—
1809	C₂×C₄	—	268	4	no	—
1810	C₂×C₄	—	268	4	no	—
1811	C₂×C₄	—	268	4	no	—
1812	C₂×C₄	—	268	4	no	—
1813	C₂×C₄	—	268	4	no	—
1814	C₂×C₄	—	268	4	no	—
1815	C₂×C₄	—	268	4	no	—
1816	C₂×C₄	—	268	4	no	—
1817	C₂×C₄	—	268	4	no	—
1818	C₂×C₄	—	268	4	no	—
1819	C₂×C₄	—	268	4	no	—
1820	C₂×C₄	—	268	4	no	—
1821	C₂×C₄	—	67	4	no	—
1822	C₂×C₄	—	67	2	no	—
1823	C₂×C₄	—	67	2	no	—
1824	C₂×C₄	—	67	2	no	—
1825	C₂×C₄	—	67	2	no	—
1826	C₂×C₄	—	67	2	no	—
1827	C₂×C₄	—	67	2	no	—
1828	C₂×C₄	—	67	2	no	—
1829	C₂×C₄	—	67	2	no	—
1830	C₂×C₄	—	67	2	no	—
1831	C₂×C₄	—	67	2	no	—
1832	C₂×C₄	—	67	2	no	—
1833	C₂×C₄	—	67	2	no	—
1834	C₂×C₄	—	67	2	no	—
1835	C₂×C₄	—	67	2	no	—
1836	C₂×C₄	—	134	8	no	—
1837	C₂×C₄	—	134	8	no	—
1838	C₂×C₄	—	134	8	no	—
1839	C₂×C₄	—	134	8	no	—
1840	C₂×C₄	—	134	8	no	—
1841	C₂×C₄	—	134	2	no	—
1842	C₂×C₄	—	134	2	no	—
1843	C₂×C₄	—	134	2	no	—
1844	C₂×C₄	—	134	2	no	—
1845	C₂×C₄	—	134	2	no	—
1846	C₂×C₄	—	134	8	no	—
1847	C₂×C₄	—	134	8	no	—
1848	C₂×C₄	—	134	2	no	—
1849	C₂×C₄	—	134	2	no	—
1850	C₂×C₄	—	134	2	no	—
1851	C₂×C₄	—	134	2	no	—
1852	C₂×C₄	—	134	2	no	—
1853	C₂×C₄	—	134	2	no	—
1854	C₂×C₄	—	134	2	no	—
1855	C₂×C₄	—	134	2	no	—
1856	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1857	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1858	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1859	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1860	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1861	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1862	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1863	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1864	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1865	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1866	C₂²	—	2	2	no	—
1867	C₂²	—	2	2	no	—
1868	C₂²	—	2	8	no	—
1869	C₂²	—	2	2	no	—
1870	C₂²	—	2	2	no	—
1871	C₂²	—	2	2	no	—
1872	C₂²	—	2	2	no	—
1873	C₂²	—	2	2	no	—
1874	C₂²	—	2	2	no	—
1875	C₂²	—	2	2	no	—
1876	C₂²	—	2	2	no	—
1877	C₂²	—	2	2	no	—
1878	C₂²	—	2	2	no	—
1879	C₂²	—	2	2	no	—
1880	C₂²	—	2	2	no	—
1881	C₂²	—	4	4	no	—
1882	C₂²	—	4	4	no	—
1883	C₂²	—	4	4	no	—
1884	C₂²	—	4	4	no	—
1885	C₂²	—	8	8	no	—
1886	C₂²	—	268	4	no	—
1887	C₂²	—	536	8	no	—
1888	C₂²	—	67	4	no	—
1889	C₂²	—	134	2	no	—
1890	C₂²	—	134	2	no	—
1891	C₂²	—	134	2	no	—
1892	C₂²	—	134	2	no	—
1893	C₂²	—	134	2	no	—
1894	C₂²	—	134	8	no	—
1895	C₂²	C₂×#41×D₆₇	1	4	yes	—
1896	C₂²	C₂×#41×D₆₇	1	2	yes	—
1897	C₂²	#16864231	1	2	yes	—
1898	C₂²	#16864231	1	2	yes	—
1899	C₂²	C₂⁵×D₆₇	1	1	yes	characteristic
1900	C₄	—	2	2	no	—
1901	C₄	—	2	2	no	—
1902	C₄	—	2	2	no	—
1903	C₄	—	2	2	no	—
1904	C₄	—	2	2	no	—
1905	C₄	—	2	2	no	—
1906	C₄	—	2	2	no	—
1907	C₄	—	2	2	no	—
1908	C₄	—	2	2	no	—
1909	C₄	—	2	2	no	—
1910	C₄	—	67	4	no	—
1911	C₄	—	134	2	no	—
1912	C₄	—	134	2	no	—
1913	C₄	—	134	2	no	—
1914	C₄	—	134	2	no	—
1915	C₄	—	134	2	no	—
1916	C₄	—	134	2	no	—
1917	C₄	—	134	2	no	—
1918	C₄	—	134	2	no	—
1919	C₄	—	134	2	no	—
1920	C₄	—	134	2	no	—
1921	C₄	—	134	2	no	—
1922	C₄	—	134	2	no	—
1923	C₄	—	134	2	no	—
1924	C₂	—	2	4	no	—
1925	C₂	—	4	2	no	—
1926	C₂	—	4	2	no	—
1927	C₂	—	4	2	no	—
1928	C₂	—	4	2	no	—
1929	C₂	—	268	2	no	—
1930	C₂	—	134	4	no	—
1931	C₂	#22574273	1	4	yes	direct product factor
1932	C₂	C₂²×#41×D₆₇	1	1	yes	characteristic
1933	C₂	C₂×#16864231	1	1	yes	characteristic
1934	C₂	C₂×#16864231	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₆₇
commutator, cosocle	C₂²×C₆₇	C₂⁶
Frattini	C₂²	C₂⁵×D₆₇
Fitting	C₂×#538×C₆₇	C₂
socle	C₂³×C₆₇	C₂⁵
hypercenter	C₂×#538	D₆₇
hypocenter	C₆₇	C₂×#3521
LCS	G ▷ C₂²×C₆₇ ▷ C₆₇
UCS	C₁ ◁ C₂³ ◁ C₂×#538

Complements

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

N	H ≅ G/N	type
1. #22574273	C₂	direct (N × H)
2. C₂×#16864115	C₂	semidirect
3. C₂×#16864113	C₂	semidirect
4. C₂×#16864100	C₂	semidirect
5. C₂×#16864093	C₂	semidirect
6. C₂×#16864089	C₂	semidirect
7. C₂×#16864089	C₂	semidirect
8. C₂×#16864088	C₂	semidirect
9. C₂×#16864083	C₂	semidirect
10. C₂×#16864082	C₂	semidirect
11. C₂×#16864077	C₂	semidirect
12. C₂×#16864077	C₂	semidirect
13. C₂×#16864076	C₂	semidirect
14. C₂×#16864074	C₂	semidirect
15. C₂×#16864046	C₂	semidirect
16. C₂×#16864033	C₂	semidirect
17. C₂×#16864033	C₂	semidirect
18. C₂×#16864010	C₂	semidirect
19. C₂×#16864003	C₂	semidirect
20. C₂×#16863989	C₂	semidirect
21. C₂×#16863988	C₂	semidirect
22. C₂×#16863978	C₂	semidirect
23. C₂×#16863927	C₂	semidirect
24. C₂×#16863926	C₂	semidirect
25. C₂×#16863925	C₂	semidirect
26. C₂×#16863923	C₂	semidirect
27. C₂²×#14524036	C₂	semidirect
28. C₂×#126×D₆₇	C₂	semidirect
29. C₂×#16863875	C₂	semidirect
30. C₂×#16863869	C₂	semidirect
31. C₂×C₄×#11761627	C₂	semidirect
32. C₂×#538×C₆₇	C₂	semidirect
36. #16864115	C₂²	semidirect
37. #16864113	C₂²	semidirect
38. #16864100	C₂²	semidirect
39. #16864093	C₂²	semidirect
40. #16864089	C₂²	semidirect
41. #16864089	C₂²	semidirect
42. #16864088	C₂²	semidirect
43. #16864083	C₂²	semidirect
44. #16864082	C₂²	semidirect
45. #16864077	C₂²	semidirect
46. #16864077	C₂²	semidirect
47. #16864076	C₂²	semidirect
48. #16864074	C₂²	semidirect
49. #16864046	C₂²	semidirect
50. #16864033	C₂²	semidirect
51. #16864033	C₂²	semidirect
52. #16864010	C₂²	semidirect
53. #16864003	C₂²	semidirect
54. #16863989	C₂²	semidirect
55. #16863988	C₂²	semidirect
56. #16863978	C₂²	semidirect
57. C₂×#14524042	C₂²	semidirect
58. C₂×#14524041	C₂²	semidirect
59. #16863927	C₂²	semidirect
60. #16863926	C₂²	semidirect
61. #16863925	C₂²	semidirect
62. #16863923	C₂²	semidirect
63. C₂×#14524038	C₂²	semidirect
64. C₂×#14524038	C₂²	semidirect
65. C₂×#14524038	C₂²	semidirect
66. C₂×#14524038	C₂²	semidirect
67. C₂×#14524037	C₂²	semidirect
76. C₂×#14524036	C₂²	semidirect
77. C₂×#14524036	C₂²	semidirect
78. C₂×#14524036	C₂²	semidirect
79. C₂×#14524036	C₂²	semidirect
80. C₂×#14524036	C₂²	semidirect
81. C₂×#14524036	C₂²	semidirect
82. C₂×#14524036	C₂²	semidirect
83. C₂×#14524036	C₂²	semidirect
84. #126×D₆₇	C₂²	semidirect
85. C₂×#14524035	C₂²	semidirect
86. C₂×#14524034	C₂²	semidirect
87. C₂×#14524034	C₂²	semidirect
88. C₂×#14524034	C₂²	semidirect
89. C₂×#14524033	C₂²	semidirect
90. C₂×#14524033	C₂²	semidirect
91. C₂×#14524033	C₂²	semidirect
92. C₂×#14524033	C₂²	semidirect
93. C₂×#14524033	C₂²	semidirect
98. C₂×#14524029	C₂²	semidirect
101. C₂×#14524026	C₂²	semidirect
104. C₂×#14524025	C₂²	semidirect
105. C₂×#14524025	C₂²	semidirect
106. C₂×#14524025	C₂²	semidirect
107. C₂×#14524025	C₂²	semidirect
110. C₂×#14524024	C₂²	semidirect
111. C₂×#14524024	C₂²	semidirect
112. C₂×#14524024	C₂²	semidirect
113. C₂×#14524024	C₂²	semidirect
114. C₂×#14524024	C₂²	semidirect
115. C₂×#14524022	C₂²	semidirect
116. C₂×#14524021	C₂²	semidirect
117. C₂×#14524021	C₂²	semidirect
118. C₂×#14524021	C₂²	semidirect
121. C₂×#14524020	C₂²	semidirect
122. C₂×#14524020	C₂²	semidirect
123. C₂×#14524020	C₂²	semidirect
124. C₂×#14524020	C₂²	semidirect
125. C₂×#14524020	C₂²	semidirect
126. C₂×#14524020	C₂²	semidirect
127. C₂×#14524019	C₂²	semidirect
128. C₂×#14524019	C₂²	semidirect
133. C₂×#14524015	C₂²	semidirect
136. C₂×#14524014	C₂²	semidirect
139. #16863875	C₂²	semidirect
140. #16863869	C₂²	semidirect
141. C₄×#11761627	C₂²	semidirect
142. C₂×Q₈×Dic₆₇	C₂²	semidirect
143. C₂×C₄×Dic₁₃₄	C₂²	semidirect
144. C₂×C₄×Dic₁₃₄	C₂²	semidirect
145. C₂×C₄×Dic₁₃₄	C₂²	semidirect
146. C₂×#14524008	C₂²	semidirect
147. C₂×#14524008	C₂²	semidirect
148. C₂×#14524008	C₂²	semidirect
151. C₂×D₄×Dic₆₇	C₂²	semidirect
152. C₂×D₄×Dic₆₇	C₂²	semidirect
153. C₂×D₄×Dic₆₇	C₂²	semidirect
154. C₂×D₄×Dic₆₇	C₂²	semidirect
155. C₂×D₄×Dic₆₇	C₂²	semidirect
160. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
161. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
162. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
169. C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	semidirect
170. C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	semidirect
171. C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	semidirect
172. C₂×#14524002	C₂²	semidirect
173. C₂×#14524001	C₂²	semidirect
174. C₂×#14524001	C₂²	semidirect
175. C₂×#14524000	C₂²	semidirect
176. C₂×#14524000	C₂²	semidirect
179. C₂×#14523999	C₂²	semidirect
180. C₂×#14523999	C₂²	semidirect
181. C₂×#14523999	C₂²	semidirect
182. C₂×#14523999	C₂²	semidirect
183. C₂×#14523999	C₂²	semidirect
184. C₂×#14523999	C₂²	semidirect
185. C₂×#14523999	C₂²	semidirect
186. C₂²×C₄⋊Dic₆₇	C₂²	semidirect
187. C₂²×Dic₆₇⋊C₄	C₂²	semidirect
188. C₂²×Dic₆₇⋊C₄	C₂²	semidirect
189. C₂²×Dic₆₇⋊C₄	C₂²	semidirect
190. C₂×C₄⋊C₄×D₆₇	C₂²	semidirect
191. C₂×C₄⋊C₄×D₆₇	C₂²	semidirect
192. C₂×C₄⋊C₄×D₆₇	C₂²	semidirect
200. C₂²×C₄×Dic₆₇	C₂²	semidirect
201. C₂²×C₄×Dic₆₇	C₂²	semidirect
202. C₂×C₄²×D₆₇	C₂²	semidirect
203. #538×C₆₇	C₂²	semidirect
205. C₂×#126×C₆₇	C₂²	semidirect
207. C₂×#124×C₆₇	C₂²	semidirect
209. C₂×#123×C₆₇	C₂²	semidirect
210. C₂×C₂²⋊Q₈×C₆₇	C₂²	semidirect
212. C₂×#121×C₆₇	C₂²	semidirect
213. C₂×#121×C₆₇	C₂²	semidirect
216. C₂×C₄×D₄×C₆₇	C₂²	semidirect
217. C₂×C₄×D₄×C₆₇	C₂²	semidirect
257. #14524042	C₂³	semidirect
258. #14524041	C₂³	semidirect
259. #14524038	C₂³	semidirect
260. #14524038	C₂³	semidirect
261. #14524038	C₂³	semidirect
262. #14524038	C₂³	semidirect
263. #14524037	C₂³	semidirect
272. #14524036	C₂³	semidirect
273. #14524036	C₂³	semidirect
274. #14524036	C₂³	semidirect
275. #14524036	C₂³	semidirect
276. #14524036	C₂³	semidirect
277. #14524036	C₂³	semidirect
278. #14524036	C₂³	semidirect
279. #14524035	C₂³	semidirect
280. #14524034	C₂³	semidirect
281. #14524034	C₂³	semidirect
282. #14524034	C₂³	semidirect
283. #14524033	C₂³	semidirect
284. #14524033	C₂³	semidirect
285. #14524033	C₂³	semidirect
286. #14524033	C₂³	semidirect
287. #14524033	C₂³	semidirect
292. #14524029	C₂³	semidirect
295. #14524026	C₂³	semidirect
298. #14524025	C₂³	semidirect
299. #14524025	C₂³	semidirect
300. #14524025	C₂³	semidirect
301. #14524025	C₂³	semidirect
304. #14524024	C₂³	semidirect
305. #14524024	C₂³	semidirect
306. #14524024	C₂³	semidirect
307. #14524024	C₂³	semidirect
308. #14524024	C₂³	semidirect
309. #14524022	C₂³	semidirect
310. #14524021	C₂³	semidirect
311. #14524021	C₂³	semidirect
312. #14524021	C₂³	semidirect
315. #14524020	C₂³	semidirect
316. #14524020	C₂³	semidirect
317. #14524020	C₂³	semidirect
318. #14524020	C₂³	semidirect
319. #14524020	C₂³	semidirect
320. #14524020	C₂³	semidirect
321. #14524019	C₂³	semidirect
322. #14524019	C₂³	semidirect
327. #14524015	C₂³	semidirect
330. #14524014	C₂³	semidirect
333. Q₈×Dic₆₇	C₂³	semidirect
334. C₄×Dic₁₃₄	C₂³	semidirect
335. C₄×Dic₁₃₄	C₂³	semidirect
336. C₄×Dic₁₃₄	C₂³	semidirect
337. #14524008	C₂³	semidirect
338. #14524008	C₂³	semidirect
339. #14524008	C₂³	semidirect
342. D₄×Dic₆₇	C₂³	semidirect
343. D₄×Dic₆₇	C₂³	semidirect
344. D₄×Dic₆₇	C₂³	semidirect
345. D₄×Dic₆₇	C₂³	semidirect
346. D₄×Dic₆₇	C₂³	semidirect
351. C₄×C₂²⋊D₆₇	C₂³	semidirect
352. C₄×C₂²⋊D₆₇	C₂³	semidirect
353. C₄×C₂²⋊D₆₇	C₂³	semidirect
360. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
361. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
362. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
363. #14524002	C₂³	semidirect
364. #14524001	C₂³	semidirect
365. #14524001	C₂³	semidirect
366. #14524000	C₂³	semidirect
367. #14524000	C₂³	semidirect
370. #14523999	C₂³	semidirect
371. #14523999	C₂³	semidirect
372. #14523999	C₂³	semidirect
373. #14523999	C₂³	semidirect
374. #14523999	C₂³	semidirect
375. #14523999	C₂³	semidirect
376. #14523999	C₂³	semidirect
389. C₂×C₄⋊Dic₆₇	C₂³	semidirect
418. C₂×Dic₆₇⋊C₄	C₂³	semidirect
419. C₂×Dic₆₇⋊C₄	C₂³	semidirect
420. C₂×Dic₆₇⋊C₄	C₂³	semidirect
421. C₄⋊C₄×D₆₇	C₂³	semidirect
422. C₄⋊C₄×D₆₇	C₂³	semidirect
423. C₄⋊C₄×D₆₇	C₂³	semidirect
479. C₂×C₄×Dic₆₇	C₂³	semidirect
480. C₂×C₄×Dic₆₇	C₂³	semidirect
481. C₄²×D₆₇	C₂³	semidirect
496. #126×C₆₇	C₂³	semidirect
498. #124×C₆₇	C₂³	semidirect
500. #123×C₆₇	C₂³	semidirect
501. C₂²⋊Q₈×C₆₇	C₂³	semidirect
503. #121×C₆₇	C₂³	semidirect
504. #121×C₆₇	C₂³	semidirect
507. C₄×D₄×C₆₇	C₂³	semidirect
508. C₄×D₄×C₆₇	C₂³	semidirect
962. C₂×C₆₇	#3521	semidirect
990. C₂×#538	D₆₇	semidirect
1000. C₆₇	C₂×#3521	semidirect
1025. #538	C₂×D₆₇	semidirect
1055. C₂×#126	C₂×D₆₇	semidirect
1071. C₂×#124	C₂×D₆₇	semidirect
1089. C₂×#123	C₂×D₆₇	semidirect
1104. C₂×C₂²⋊Q₈	C₂×D₆₇	semidirect
1114. C₂×#121	C₂×D₆₇	semidirect
1115. C₂×#121	C₂×D₆₇	semidirect
1153. C₂×C₄×D₄	C₂×D₆₇	semidirect
1154. C₂×C₄×D₄	C₂×D₆₇	semidirect
1261. #126	C₂²×D₆₇	semidirect
1277. #124	C₂²×D₆₇	semidirect
1295. #123	C₂²×D₆₇	semidirect
1310. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1320. #121	C₂²×D₆₇	semidirect
1321. #121	C₂²×D₆₇	semidirect
1356. C₄×D₄	C₂²×D₆₇	semidirect
1357. C₄×D₄	C₂²×D₆₇	semidirect
1931. C₂	#22574273	direct (N × H)

Maximal subgroups

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

subgroup	index
#22574273	2
C₂×#16864115	2
C₂×#16864113	2
C₂×#16864100	2
C₂×#16864093	2
C₂×#16864089	2
C₂×#16864088	2
C₂×#16864083	2
C₂×#16864082	2
C₂×#16864077	2
C₂×#16864076	2
C₂×#16864074	2
C₂×#16864046	2
C₂×#16864033	2
C₂×#16864010	2
C₂×#16864003	2
C₂×#16863989	2
C₂×#16863988	2
C₂×#16863978	2
C₂×#16863927	2
C₂×#16863926	2
C₂×#16863925	2
C₂×#16863923	2
C₂²×#14524036	2
C₂×#126×D₆₇	2
C₂×#16863875	2
C₂×#16863869	2
C₂×C₄×#11761627	2
C₂×#538×C₆₇	2
C₂×#3521	67

Subgroups — C2×#22574273 #31763961

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#22574273 #31763961