Subgroups — C₇×#34849 #13212065

Order 1792.

2160 conjugacy classes of subgroups.

The subgroup lattice has 1494 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#2578	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇×#2577	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#2576	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇×#2575	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇×#2574	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇×#2573	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇×#2572	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇×#2569	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇×#2564	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇×#2561	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇×#2553	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#2534	C₂	1	1	yes	maximal, characteristic
13	C₇×#2493	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#2480	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#2419	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇×#2418	C₂	1	1	yes	maximal, characteristic
17	C₇×#2401	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇×#2398	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇×#2396	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇×#2395	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×C₇×#126	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×C₇×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×C₇×#123	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×C₇×#123	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄×C₇×#120	C₂	1	1	yes	maximal, characteristic
26	C₇×#2298	C₂	1	1	yes	maximal, characteristic, complemented
27	C₇×#2290	C₂	1	1	yes	maximal, characteristic, complemented
28	C₇×#2283	C₂	1	1	yes	maximal, characteristic, complemented
29	C₇×#2280	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄²×C₇×D₄	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₄×C₇×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂⁴×C₄×C₇	C₂²	1	1	yes	characteristic
33	C₂×C₇×#126	C₂²	1	1	yes	characteristic
34	C₂×C₇×#123	C₂²	1	1	yes	characteristic
35	C₂×C₇×#123	C₂²	1	1	yes	characteristic
36	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
37	C₂×C₇×#120	C₂²	1	1	yes	characteristic
38	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
40	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
41	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
42	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
43	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
44	C₂×C₇×#117	C₂²	1	1	yes	characteristic
45	C₂×C₇×#117	C₂²	1	1	yes	characteristic
46	C₂²×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
47	C₂²×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
48	C₂²×C₄²×C₇	C₂²	1	1	yes	characteristic
49	C₂²×C₄²×C₇	C₂²	1	1	yes	characteristic
50	C₂²×C₄²×C₇	C₂²	1	1	yes	characteristic, complemented
51	C₇×#401	C₂²	1	1	yes	characteristic, complemented
52	C₇×#400	C₂²	1	1	yes	characteristic, complemented
53	C₇×#400	C₂²	1	1	yes	characteristic, complemented
54	C₇×#400	C₂²	1	1	yes	characteristic, complemented
55	C₇×#400	C₂²	1	1	yes	characteristic, complemented
56	C₇×#400	C₂²	1	1	yes	characteristic, complemented
57	C₇×#400	C₂²	1	1	yes	characteristic, complemented
58	C₇×#400	C₂²	1	1	yes	characteristic, complemented
59	C₇×#399	C₂²	1	1	yes	characteristic
60	C₇×#399	C₂²	1	1	yes	characteristic, complemented
61	C₇×#398	C₂²	1	1	yes	characteristic, complemented
62	C₇×#398	C₂²	1	1	yes	characteristic, complemented
63	C₇×#398	C₂²	1	1	yes	characteristic, complemented
64	C₇×#397	C₂²	1	1	yes	characteristic
65	C₇×#397	C₂²	1	1	yes	characteristic
66	C₇×#397	C₂²	1	1	yes	characteristic
67	C₇×#397	C₂²	1	1	yes	characteristic
68	C₇×#397	C₂²	1	1	yes	characteristic
69	C₇×#397	C₂²	1	1	yes	characteristic
70	C₇×#397	C₂²	1	1	yes	characteristic, complemented
71	C₇×#397	C₂²	1	1	yes	characteristic, complemented
72	C₇×#396	C₂²	1	1	yes	characteristic
73	C₇×#396	C₂²	1	1	yes	characteristic
74	C₇×#396	C₂²	1	1	yes	characteristic
75	C₇×#395	C₂²	1	1	yes	characteristic, complemented
76	C₇×#394	C₂²	1	1	yes	characteristic
77	C₇×#394	C₂²	1	1	yes	characteristic
78	C₇×#394	C₂²	1	1	yes	characteristic
79	C₇×#394	C₂²	1	1	yes	characteristic
80	C₇×#393	C₂²	1	1	yes	characteristic
81	C₇×#393	C₂²	1	1	yes	characteristic
82	C₇×#393	C₂²	1	1	yes	characteristic, complemented
83	C₇×#391	C₂²	1	1	yes	characteristic, complemented
84	C₇×#389	C₂²	1	1	yes	characteristic, complemented
85	C₇×#388	C₂²	1	1	yes	characteristic
86	C₇×#388	C₂²	1	1	yes	characteristic
87	C₇×#388	C₂²	1	1	yes	characteristic
88	C₇×#388	C₂²	1	1	yes	characteristic
89	C₇×#388	C₂²	1	1	yes	characteristic
90	C₇×#388	C₂²	1	1	yes	characteristic
91	C₇×#388	C₂²	1	1	yes	characteristic
92	C₇×#388	C₂²	1	1	yes	characteristic
93	C₇×#388	C₂²	1	1	yes	characteristic
94	C₇×#388	C₂²	1	1	yes	characteristic
95	C₇×#388	C₂²	1	1	yes	characteristic
96	C₇×#388	C₂²	1	1	yes	characteristic, complemented
97	C₇×#388	C₂²	1	1	yes	characteristic, complemented
98	C₇×#387	C₂²	1	1	yes	characteristic, complemented
99	C₇×#387	C₂²	1	1	yes	characteristic, complemented
100	C₇×#387	C₂²	1	1	yes	characteristic, complemented
101	C₇×#387	C₂²	1	1	yes	characteristic, complemented
102	C₇×#387	C₂²	1	1	yes	characteristic, complemented
103	C₇×#387	C₂²	1	1	yes	characteristic, complemented
104	C₇×#387	C₂²	1	1	yes	characteristic, complemented
105	C₇×#387	C₂²	1	1	yes	characteristic, complemented
106	C₇×#387	C₂²	1	1	yes	characteristic, complemented
107	C₇×#387	C₂²	1	1	yes	characteristic, complemented
108	C₇×#387	C₂²	1	1	yes	characteristic, complemented
109	C₇×#387	C₂²	1	1	yes	characteristic, complemented
110	C₇×#387	C₂²	1	1	yes	characteristic, complemented
111	C₇×#387	C₂²	1	1	yes	characteristic, complemented
112	C₇×#387	C₂²	1	1	yes	characteristic, complemented
113	C₇×#386	C₂²	1	1	yes	characteristic
114	C₇×#386	C₂²	1	1	yes	characteristic
115	C₇×#386	C₂²	1	1	yes	characteristic
116	C₇×#386	C₂²	1	1	yes	characteristic
117	C₇×#386	C₂²	1	1	yes	characteristic
118	C₇×#386	C₂²	1	1	yes	characteristic
119	C₇×#386	C₂²	1	1	yes	characteristic
120	C₇×#385	C₂²	1	1	yes	characteristic
121	C₇×#385	C₂²	1	1	yes	characteristic
122	C₇×#385	C₂²	1	1	yes	characteristic
123	C₇×#385	C₂²	1	1	yes	characteristic
124	C₇×#385	C₂²	1	1	yes	characteristic
125	C₇×#385	C₂²	1	1	yes	characteristic
126	C₇×#385	C₂²	1	1	yes	characteristic, complemented
127	C₇×#385	C₂²	1	1	yes	characteristic, complemented
128	C₇×#385	C₂²	1	1	yes	characteristic, complemented
129	C₇×#383	C₂²	1	1	yes	characteristic, complemented
130	C₇×#383	C₂²	1	1	yes	characteristic, complemented
131	C₇×#383	C₂²	1	1	yes	characteristic, complemented
132	C₇×#382	C₂²	1	1	yes	characteristic, complemented
133	C₇×#382	C₂²	1	1	yes	characteristic, complemented
134	C₇×#381	C₂²	1	1	yes	characteristic
135	C₇×#381	C₂²	1	1	yes	characteristic
136	C₇×#381	C₂²	1	1	yes	characteristic
137	C₇×#381	C₂²	1	1	yes	characteristic
138	C₇×#381	C₂²	1	1	yes	characteristic
139	C₇×#381	C₂²	1	1	yes	characteristic, complemented
140	C₇×#380	C₂²	1	1	yes	characteristic
141	C₇×#380	C₂²	1	1	yes	characteristic
142	C₇×#380	C₂²	1	1	yes	characteristic
143	C₇×#380	C₂²	1	1	yes	characteristic
144	C₇×#380	C₂²	1	1	yes	characteristic
145	C₇×#380	C₂²	1	1	yes	characteristic
146	C₇×#380	C₂²	1	1	yes	characteristic
147	C₇×#379	C₂²	1	1	yes	characteristic
148	C₇×#379	C₂²	1	1	yes	characteristic
149	C₇×#379	C₂²	1	1	yes	characteristic
150	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
151	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
152	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
153	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
154	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
155	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
156	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
157	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
158	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
159	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
160	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
161	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
162	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
163	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
164	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
165	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
166	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
167	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
168	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
169	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
170	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
171	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
172	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
173	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
174	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
175	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
176	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
177	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
178	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
179	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
180	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
181	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
182	C₇×#376	C₂²	1	1	yes	characteristic, complemented
183	C₇×#376	C₂²	1	1	yes	characteristic, complemented
184	C₂×C₇×#95	C₂²	1	1	yes	characteristic
185	C₂×C₇×#95	C₂²	1	1	yes	characteristic
186	C₄³×C₇	C₂²	1	1	yes	characteristic, complemented
187	#34849	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
188	C₂⁵×C₇	C₂³	1	1	yes	characteristic
189	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
190	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
191	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
192	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
193	C₂³×C₄×C₇	—	2	4	no	—
194	C₂³×C₄×C₇	—	2	4	no	—
195	C₂³×C₄×C₇	—	4	2	no	—
196	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
197	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
198	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
199	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
200	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
201	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
202	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
203	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
204	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
205	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
206	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
207	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
208	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
209	C₇×#126	—	2	4	no	—
210	C₇×#123	—	2	4	no	—
211	C₇×#123	—	2	4	no	—
212	C₇×C₂²⋊Q₈	—	2	4	no	—
213	C₇×#120	—	2	4	no	—
214	C₄×C₇×Q₈	—	4	2	no	—
215	C₄×C₇×D₄	—	2	4	no	—
216	C₄×C₇×D₄	—	2	4	no	—
217	C₄×C₇×D₄	—	2	4	no	—
218	C₄×C₇×D₄	—	2	4	no	—
219	C₄×C₇×D₄	—	4	2	no	—
220	C₇×#117	—	2	4	no	—
221	C₇×#117	—	4	2	no	—
222	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×C₇×C₂²⋊C₄	—	2	4	no	—
249	C₂×C₇×C₂²⋊C₄	—	2	4	no	—
250	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×C₄²×C₇	—	2	4	no	—
289	C₂×C₄²×C₇	—	4	2	no	—
290	C₂×C₄²×C₇	—	4	2	no	—
291	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
292	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
293	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
294	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
295	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
296	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
297	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
298	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
299	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
300	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
301	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
302	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
303	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
304	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
305	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
306	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
307	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
308	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
309	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
310	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
311	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
312	C₇×#95	C₂³	1	1	yes	characteristic
313	C₇×#95	C₂³	1	1	yes	characteristic
314	C₇×#95	C₂³	1	1	yes	characteristic
315	C₇×#95	C₂³	1	1	yes	characteristic
316	C₇×#95	C₂³	1	1	yes	characteristic
317	C₇×#95	C₂³	1	1	yes	characteristic
318	C₇×#95	C₂³	1	1	yes	characteristic
319	C₇×#95	C₂³	1	1	yes	characteristic
320	C₇×#95	C₂³	1	1	yes	characteristic
321	C₇×#95	C₂³	1	1	yes	characteristic
322	C₇×#95	C₂³	1	1	yes	characteristic
323	C₇×#95	C₂³	1	1	yes	characteristic
324	C₇×#95	C₂³	1	1	yes	characteristic
325	C₇×#95	C₂³	1	1	yes	characteristic
326	C₇×#95	C₂³	1	1	yes	characteristic
327	C₇×#95	C₂³	1	1	yes	characteristic
328	C₇×#95	C₂³	1	1	yes	characteristic
329	C₇×#95	C₂³	1	1	yes	characteristic
330	C₇×#95	C₂³	1	1	yes	characteristic
331	C₇×#95	C₂³	1	1	yes	characteristic
332	C₇×#95	C₂³	1	1	yes	characteristic
333	C₇×#95	C₂³	1	1	yes	characteristic
334	C₇×#95	C₂³	1	1	yes	characteristic
335	C₇×#95	C₂³	1	1	yes	characteristic
336	C₇×#95	C₂³	1	1	yes	characteristic
337	C₇×#95	C₂³	1	1	yes	characteristic
338	C₇×#95	C₂³	1	1	yes	characteristic
339	C₇×#95	C₂³	1	1	yes	characteristic
340	C₇×#95	C₂³	1	1	yes	characteristic
341	C₇×#95	C₂³	1	1	yes	characteristic
342	C₇×#95	C₂³	1	1	yes	characteristic
343	C₇×#95	C₂³	1	1	yes	characteristic
344	C₇×#95	C₂³	1	1	yes	characteristic
345	C₇×#95	C₂³	1	1	yes	characteristic
346	C₇×#95	C₂³	1	1	yes	characteristic
347	C₇×#95	C₂³	1	1	yes	characteristic
348	C₇×#95	C₂³	1	1	yes	characteristic
349	C₇×#95	C₂³	1	1	yes	characteristic
350	C₇×#95	C₂³	1	1	yes	characteristic
351	C₇×#95	C₂³	1	1	yes	characteristic
352	C₇×#95	C₂³	1	1	yes	characteristic
353	C₇×#95	C₂³	1	1	yes	characteristic
354	C₇×#95	C₂³	1	1	yes	characteristic
355	C₇×#95	C₂³	1	1	yes	characteristic
356	C₇×#95	C₂³	1	1	yes	characteristic
357	C₇×#95	C₂³	1	1	yes	characteristic
358	C₇×#95	C₂³	1	1	yes	characteristic
359	C₇×#95	C₂³	1	1	yes	characteristic
360	C₇×#95	C₂³	1	1	yes	characteristic
361	C₇×#95	C₂³	1	1	yes	characteristic
362	C₇×#95	C₂³	1	1	yes	characteristic
363	C₇×#95	C₂³	1	1	yes	characteristic
364	#2578	C₂×C₇	1	1	yes	characteristic, complemented
365	#2577	C₂×C₇	1	1	yes	characteristic, complemented
366	#2576	C₂×C₇	1	1	yes	characteristic, complemented
367	#2575	C₂×C₇	1	1	yes	characteristic, complemented
368	#2574	C₂×C₇	1	1	yes	characteristic, complemented
369	#2573	C₂×C₇	1	1	yes	characteristic, complemented
370	#2572	C₂×C₇	1	1	yes	characteristic, complemented
371	#2569	C₂×C₇	1	1	yes	characteristic, complemented
372	#2564	C₂×C₇	1	1	yes	characteristic, complemented
373	#2561	C₂×C₇	1	1	yes	characteristic, complemented
374	#2553	C₂×C₇	1	1	yes	characteristic, complemented
375	#2534	C₂×C₇	1	1	yes	characteristic
376	#2493	C₂×C₇	1	1	yes	characteristic, complemented
377	#2480	C₂×C₇	1	1	yes	characteristic, complemented
378	#2419	C₂×C₇	1	1	yes	characteristic, complemented
379	#2418	C₂×C₇	1	1	yes	characteristic
380	#2401	C₂×C₇	1	1	yes	characteristic, complemented
381	#2398	C₂×C₇	1	1	yes	characteristic, complemented
382	#2396	C₂×C₇	1	1	yes	characteristic, complemented
383	#2395	C₂×C₇	1	1	yes	characteristic, complemented
384	C₄×#126	C₂×C₇	1	1	yes	characteristic, complemented
385	C₄×C₂²⋊Q₈	C₂×C₇	1	1	yes	characteristic, complemented
386	C₄×#123	C₂×C₇	1	1	yes	characteristic, complemented
387	C₄×#123	C₂×C₇	1	1	yes	characteristic, complemented
388	C₄×#120	C₂×C₇	1	1	yes	characteristic
389	#2298	C₂×C₇	1	1	yes	characteristic, complemented
390	#2290	C₂×C₇	1	1	yes	characteristic, complemented
391	#2283	C₂×C₇	1	1	yes	characteristic, complemented
392	#2280	C₂×C₇	1	1	yes	characteristic, complemented
393	C₄²×D₄	C₂×C₇	1	1	yes	characteristic, complemented
394	C₂×C₄×C₂²⋊C₄	C₂×C₇	1	1	yes	characteristic, complemented
395	C₂⁴×C₇	—	2	2	no	—
396	C₂⁴×C₇	—	2	2	no	—
397	C₂⁴×C₇	—	2	2	no	—
398	C₂⁴×C₇	—	2	2	no	—
399	C₂⁴×C₇	—	2	2	no	—
400	C₂⁴×C₇	—	4	1	no	—
401	C₂⁴×C₇	—	4	1	no	—
402	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
403	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
404	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
405	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
406	C₂×C₇×Q₈	—	2	2	no	—
407	C₂×C₇×Q₈	—	4	1	no	—
408	C₂×C₇×Q₈	—	4	1	no	—
409	C₂×C₇×D₄	—	2	2	no	—
410	C₂×C₇×D₄	—	2	2	no	—
411	C₂×C₇×D₄	—	2	2	no	—
412	C₂×C₇×D₄	—	2	2	no	—
413	C₂×C₇×D₄	—	2	2	no	—
414	C₂×C₇×D₄	—	2	2	no	—
415	C₂×C₇×D₄	—	4	1	no	—
416	C₂×C₇×D₄	—	4	1	no	—
417	C₂×C₇×D₄	#41	1	4	yes	—
418	C₂²×C₄×C₇	—	2	2	no	—
419	C₂²×C₄×C₇	—	2	2	no	—
420	C₂²×C₄×C₇	—	2	2	no	—
421	C₂²×C₄×C₇	—	2	2	no	—
422	C₂²×C₄×C₇	—	2	2	no	—
423	C₂²×C₄×C₇	—	2	2	no	—
424	C₂²×C₄×C₇	—	2	2	no	—
425	C₂²×C₄×C₇	—	2	2	no	—
426	C₂²×C₄×C₇	—	2	2	no	—
427	C₂²×C₄×C₇	—	2	2	no	—
428	C₂²×C₄×C₇	—	2	2	no	—
429	C₂²×C₄×C₇	—	2	2	no	—
430	C₂²×C₄×C₇	—	2	2	no	—
431	C₂²×C₄×C₇	—	2	2	no	—
432	C₂²×C₄×C₇	—	2	2	no	—
433	C₂²×C₄×C₇	—	2	2	no	—
434	C₂²×C₄×C₇	—	2	2	no	—
435	C₂²×C₄×C₇	—	2	2	no	—
436	C₂²×C₄×C₇	—	2	2	no	—
437	C₂²×C₄×C₇	—	2	2	no	—
438	C₂²×C₄×C₇	—	2	2	no	—
439	C₂²×C₄×C₇	—	2	2	no	—
440	C₂²×C₄×C₇	—	2	2	no	—
441	C₂²×C₄×C₇	—	2	2	no	—
442	C₂²×C₄×C₇	—	2	2	no	—
443	C₂²×C₄×C₇	—	2	2	no	—
444	C₂²×C₄×C₇	—	4	1	no	—
445	C₂²×C₄×C₇	—	4	1	no	—
446	C₂²×C₄×C₇	—	4	1	no	—
447	C₂²×C₄×C₇	—	4	1	no	—
448	C₂²×C₄×C₇	—	4	1	no	—
449	C₂²×C₄×C₇	—	4	1	no	—
450	C₂²×C₄×C₇	—	4	1	no	—
451	C₂²×C₄×C₇	—	4	1	no	—
452	C₂²×C₄×C₇	—	4	1	no	—
453	C₂²×C₄×C₇	—	4	1	no	—
454	C₂²×C₄×C₇	—	4	16	no	—
455	C₂²×C₄×C₇	#41	1	4	yes	—
456	C₂²×C₄×C₇	#41	1	4	yes	—
457	C₂²×C₄×C₇	#41	1	4	yes	—
458	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
459	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
460	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
461	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
462	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
463	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
464	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
465	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
466	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
467	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
468	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
469	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
470	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
471	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
472	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
473	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
474	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
475	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
476	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
477	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
478	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
479	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
480	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
481	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
482	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
483	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
484	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
485	C₇×C₄⋊C₄	—	2	2	no	—
486	C₇×C₄⋊C₄	—	2	2	no	—
487	C₇×C₄⋊C₄	—	2	2	no	—
488	C₇×C₄⋊C₄	—	2	2	no	—
489	C₇×C₄⋊C₄	—	2	2	no	—
490	C₇×C₄⋊C₄	—	2	2	no	—
491	C₇×C₄⋊C₄	—	2	2	no	—
492	C₇×C₄⋊C₄	—	2	2	no	—
493	C₇×C₄⋊C₄	—	2	2	no	—
494	C₇×C₄⋊C₄	—	2	2	no	—
495	C₇×C₄⋊C₄	—	2	2	no	—
496	C₇×C₄⋊C₄	—	2	2	no	—
497	C₇×C₄⋊C₄	—	2	2	no	—
498	C₇×C₄⋊C₄	—	2	2	no	—
499	C₇×C₄⋊C₄	—	2	2	no	—
500	C₇×C₄⋊C₄	—	2	2	no	—
501	C₇×C₄⋊C₄	—	4	1	no	—
502	C₇×C₄⋊C₄	—	4	1	no	—
503	C₇×C₄⋊C₄	—	4	1	no	—
504	C₇×C₄⋊C₄	—	4	1	no	—
505	C₇×C₄⋊C₄	—	4	1	no	—
506	C₇×C₄⋊C₄	—	4	1	no	—
507	C₇×C₄⋊C₄	—	4	1	no	—
508	C₇×C₄⋊C₄	—	4	1	no	—
509	C₇×C₄⋊C₄	—	4	1	no	—
510	C₇×C₄⋊C₄	—	4	1	no	—
511	C₇×C₂²⋊C₄	—	2	2	no	—
512	C₇×C₂²⋊C₄	—	2	2	no	—
513	C₇×C₂²⋊C₄	—	2	2	no	—
514	C₇×C₂²⋊C₄	—	2	2	no	—
515	C₇×C₂²⋊C₄	—	2	2	no	—
516	C₇×C₂²⋊C₄	—	2	2	no	—
517	C₇×C₂²⋊C₄	—	2	2	no	—
518	C₇×C₂²⋊C₄	—	2	2	no	—
519	C₇×C₂²⋊C₄	—	2	2	no	—
520	C₇×C₂²⋊C₄	—	2	2	no	—
521	C₇×C₂²⋊C₄	—	2	2	no	—
522	C₇×C₂²⋊C₄	—	2	2	no	—
523	C₇×C₂²⋊C₄	—	2	2	no	—
524	C₇×C₂²⋊C₄	—	2	2	no	—
525	C₇×C₂²⋊C₄	—	2	2	no	—
526	C₇×C₂²⋊C₄	—	2	2	no	—
527	C₇×C₂²⋊C₄	—	2	2	no	—
528	C₇×C₂²⋊C₄	—	2	2	no	—
529	C₇×C₂²⋊C₄	—	2	2	no	—
530	C₇×C₂²⋊C₄	—	2	2	no	—
531	C₇×C₂²⋊C₄	—	2	2	no	—
532	C₇×C₂²⋊C₄	—	2	2	no	—
533	C₇×C₂²⋊C₄	—	2	2	no	—
534	C₇×C₂²⋊C₄	—	2	2	no	—
535	C₇×C₂²⋊C₄	—	2	2	no	—
536	C₇×C₂²⋊C₄	—	2	2	no	—
537	C₇×C₂²⋊C₄	—	2	2	no	—
538	C₇×C₂²⋊C₄	—	2	2	no	—
539	C₇×C₂²⋊C₄	—	2	2	no	—
540	C₇×C₂²⋊C₄	—	4	1	no	—
541	C₇×C₂²⋊C₄	—	4	1	no	—
542	C₇×C₂²⋊C₄	—	4	1	no	—
543	C₇×C₂²⋊C₄	—	4	1	no	—
544	C₇×C₂²⋊C₄	—	4	1	no	—
545	C₇×C₂²⋊C₄	—	4	1	no	—
546	C₇×C₂²⋊C₄	—	4	1	no	—
547	C₇×C₂²⋊C₄	—	4	1	no	—
548	C₇×C₂²⋊C₄	#41	1	4	yes	—
549	C₄²×C₇	—	2	2	no	—
550	C₄²×C₇	—	2	2	no	—
551	C₄²×C₇	—	2	2	no	—
552	C₄²×C₇	—	2	2	no	—
553	C₄²×C₇	—	2	2	no	—
554	C₄²×C₇	—	2	2	no	—
555	C₄²×C₇	—	2	2	no	—
556	C₄²×C₇	—	2	2	no	—
557	C₄²×C₇	—	2	2	no	—
558	C₄²×C₇	—	2	2	no	—
559	C₄²×C₇	—	2	2	no	—
560	C₄²×C₇	—	2	2	no	—
561	C₄²×C₇	—	2	2	no	—
562	C₄²×C₇	—	2	2	no	—
563	C₄²×C₇	—	2	2	no	—
564	C₄²×C₇	—	2	2	no	—
565	C₄²×C₇	—	4	1	no	—
566	C₄²×C₇	—	4	1	no	—
567	C₄²×C₇	—	4	1	no	—
568	C₄²×C₇	—	4	1	no	—
569	C₄²×C₇	—	4	1	no	—
570	C₂⁴×C₄	C₂²×C₇	1	1	yes	characteristic
571	C₂×#126	C₂²×C₇	1	1	yes	characteristic
572	C₂×#123	C₂²×C₇	1	1	yes	characteristic
573	C₂×#123	C₂²×C₇	1	1	yes	characteristic
574	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
575	C₂×#120	C₂²×C₇	1	1	yes	characteristic
576	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
577	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
578	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
579	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
580	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
581	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
582	C₂×#117	C₂²×C₇	1	1	yes	characteristic
583	C₂×#117	C₂²×C₇	1	1	yes	characteristic
584	C₂²×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
585	C₂²×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
586	C₂²×C₄²	C₂²×C₇	1	1	yes	characteristic
587	C₂²×C₄²	C₂²×C₇	1	1	yes	characteristic
588	C₂²×C₄²	C₂²×C₇	1	1	yes	characteristic, complemented
589	#401	C₂²×C₇	1	1	yes	characteristic, complemented
590	#400	C₂²×C₇	1	1	yes	characteristic, complemented
591	#400	C₂²×C₇	1	1	yes	characteristic, complemented
592	#400	C₂²×C₇	1	1	yes	characteristic, complemented
593	#400	C₂²×C₇	1	1	yes	characteristic, complemented
594	#400	C₂²×C₇	1	1	yes	characteristic, complemented
595	#400	C₂²×C₇	1	1	yes	characteristic, complemented
596	#400	C₂²×C₇	1	1	yes	characteristic, complemented
597	#399	C₂²×C₇	1	1	yes	characteristic
598	#399	C₂²×C₇	1	1	yes	characteristic, complemented
599	#398	C₂²×C₇	1	1	yes	characteristic, complemented
600	#398	C₂²×C₇	1	1	yes	characteristic, complemented
601	#398	C₂²×C₇	1	1	yes	characteristic, complemented
602	#397	C₂²×C₇	1	1	yes	characteristic
603	#397	C₂²×C₇	1	1	yes	characteristic
604	#397	C₂²×C₇	1	1	yes	characteristic
605	#397	C₂²×C₇	1	1	yes	characteristic
606	#397	C₂²×C₇	1	1	yes	characteristic
607	#397	C₂²×C₇	1	1	yes	characteristic
608	#397	C₂²×C₇	1	1	yes	characteristic, complemented
609	#397	C₂²×C₇	1	1	yes	characteristic, complemented
610	#396	C₂²×C₇	1	1	yes	characteristic
611	#396	C₂²×C₇	1	1	yes	characteristic
612	#396	C₂²×C₇	1	1	yes	characteristic
613	#395	C₂²×C₇	1	1	yes	characteristic, complemented
614	#394	C₂²×C₇	1	1	yes	characteristic
615	#394	C₂²×C₇	1	1	yes	characteristic
616	#394	C₂²×C₇	1	1	yes	characteristic
617	#394	C₂²×C₇	1	1	yes	characteristic
618	#393	C₂²×C₇	1	1	yes	characteristic
619	#393	C₂²×C₇	1	1	yes	characteristic
620	#393	C₂²×C₇	1	1	yes	characteristic, complemented
621	#391	C₂²×C₇	1	1	yes	characteristic, complemented
622	#389	C₂²×C₇	1	1	yes	characteristic, complemented
623	#388	C₂²×C₇	1	1	yes	characteristic
624	#388	C₂²×C₇	1	1	yes	characteristic
625	#388	C₂²×C₇	1	1	yes	characteristic
626	#388	C₂²×C₇	1	1	yes	characteristic
627	#388	C₂²×C₇	1	1	yes	characteristic
628	#388	C₂²×C₇	1	1	yes	characteristic
629	#388	C₂²×C₇	1	1	yes	characteristic
630	#388	C₂²×C₇	1	1	yes	characteristic
631	#388	C₂²×C₇	1	1	yes	characteristic
632	#388	C₂²×C₇	1	1	yes	characteristic
633	#388	C₂²×C₇	1	1	yes	characteristic
634	#388	C₂²×C₇	1	1	yes	characteristic, complemented
635	#388	C₂²×C₇	1	1	yes	characteristic, complemented
636	#387	C₂²×C₇	1	1	yes	characteristic, complemented
637	#387	C₂²×C₇	1	1	yes	characteristic, complemented
638	#387	C₂²×C₇	1	1	yes	characteristic, complemented
639	#387	C₂²×C₇	1	1	yes	characteristic, complemented
640	#387	C₂²×C₇	1	1	yes	characteristic, complemented
641	#387	C₂²×C₇	1	1	yes	characteristic, complemented
642	#387	C₂²×C₇	1	1	yes	characteristic, complemented
643	#387	C₂²×C₇	1	1	yes	characteristic, complemented
644	#387	C₂²×C₇	1	1	yes	characteristic, complemented
645	#387	C₂²×C₇	1	1	yes	characteristic, complemented
646	#387	C₂²×C₇	1	1	yes	characteristic, complemented
647	#387	C₂²×C₇	1	1	yes	characteristic, complemented
648	#387	C₂²×C₇	1	1	yes	characteristic, complemented
649	#387	C₂²×C₇	1	1	yes	characteristic, complemented
650	#387	C₂²×C₇	1	1	yes	characteristic, complemented
651	#386	C₂²×C₇	1	1	yes	characteristic
652	#386	C₂²×C₇	1	1	yes	characteristic
653	#386	C₂²×C₇	1	1	yes	characteristic
654	#386	C₂²×C₇	1	1	yes	characteristic
655	#386	C₂²×C₇	1	1	yes	characteristic
656	#386	C₂²×C₇	1	1	yes	characteristic
657	#386	C₂²×C₇	1	1	yes	characteristic
658	#385	C₂²×C₇	1	1	yes	characteristic
659	#385	C₂²×C₇	1	1	yes	characteristic
660	#385	C₂²×C₇	1	1	yes	characteristic
661	#385	C₂²×C₇	1	1	yes	characteristic
662	#385	C₂²×C₇	1	1	yes	characteristic
663	#385	C₂²×C₇	1	1	yes	characteristic
664	#385	C₂²×C₇	1	1	yes	characteristic, complemented
665	#385	C₂²×C₇	1	1	yes	characteristic, complemented
666	#385	C₂²×C₇	1	1	yes	characteristic, complemented
667	#383	C₂²×C₇	1	1	yes	characteristic, complemented
668	#383	C₂²×C₇	1	1	yes	characteristic, complemented
669	#383	C₂²×C₇	1	1	yes	characteristic, complemented
670	#382	C₂²×C₇	1	1	yes	characteristic, complemented
671	#382	C₂²×C₇	1	1	yes	characteristic, complemented
672	#381	C₂²×C₇	1	1	yes	characteristic
673	#381	C₂²×C₇	1	1	yes	characteristic
674	#381	C₂²×C₇	1	1	yes	characteristic
675	#381	C₂²×C₇	1	1	yes	characteristic
676	#381	C₂²×C₇	1	1	yes	characteristic
677	#381	C₂²×C₇	1	1	yes	characteristic, complemented
678	#380	C₂²×C₇	1	1	yes	characteristic
679	#380	C₂²×C₇	1	1	yes	characteristic
680	#380	C₂²×C₇	1	1	yes	characteristic
681	#380	C₂²×C₇	1	1	yes	characteristic
682	#380	C₂²×C₇	1	1	yes	characteristic
683	#380	C₂²×C₇	1	1	yes	characteristic
684	#380	C₂²×C₇	1	1	yes	characteristic
685	#379	C₂²×C₇	1	1	yes	characteristic
686	#379	C₂²×C₇	1	1	yes	characteristic
687	#379	C₂²×C₇	1	1	yes	characteristic
688	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
689	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
690	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
691	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
692	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
693	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
694	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
695	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
696	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
697	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
698	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
699	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
700	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
701	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
702	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
703	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
704	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
705	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
706	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
707	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
708	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
709	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
710	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
711	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
712	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
713	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
714	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
715	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
716	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
717	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
718	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
719	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
720	#376	C₂²×C₇	1	1	yes	characteristic, complemented
721	#376	C₂²×C₇	1	1	yes	characteristic, complemented
722	C₂×#95	C₂²×C₇	1	1	yes	characteristic
723	C₂×#95	C₂²×C₇	1	1	yes	characteristic
724	C₄³	C₂²×C₇	1	1	yes	characteristic, complemented
725	C₂³×C₇	—	2	1	no	—
726	C₂³×C₇	—	2	1	no	—
727	C₂³×C₇	—	2	1	no	—
728	C₂³×C₇	—	2	1	no	—
729	C₂³×C₇	—	2	8	no	—
730	C₂³×C₇	—	2	1	no	—
731	C₂³×C₇	—	2	1	no	—
732	C₂³×C₇	—	2	1	no	—
733	C₂³×C₇	—	2	1	no	—
734	C₂³×C₇	—	2	1	no	—
735	C₂³×C₇	—	2	1	no	—
736	C₂³×C₇	—	2	1	no	—
737	C₂³×C₇	—	2	1	no	—
738	C₂³×C₇	—	2	1	no	—
739	C₂³×C₇	—	2	1	no	—
740	C₂³×C₇	—	2	1	no	—
741	C₂³×C₇	—	2	1	no	—
742	C₂³×C₇	—	2	1	no	—
743	C₂³×C₇	—	2	1	no	—
744	C₂³×C₇	—	2	1	no	—
745	C₂³×C₇	—	2	1	no	—
746	C₂³×C₇	—	2	1	no	—
747	C₂³×C₇	—	2	1	no	—
748	C₂³×C₇	—	4	4	no	—
749	C₂³×C₇	—	4	4	no	—
750	C₂³×C₇	—	4	4	no	—
751	C₂³×C₇	—	4	4	no	—
752	C₂³×C₇	—	4	4	no	—
753	C₂³×C₇	—	4	4	no	—
754	C₂³×C₇	C₂×#41	1	2	yes	—
755	C₂³×C₇	C₂×#41	1	2	yes	—
756	C₂³×C₇	C₂×#41	1	2	yes	—
757	C₂³×C₇	C₂×#41	1	2	yes	—
758	C₂³×C₇	C₂×#41	1	2	yes	—
759	C₂³×C₇	C₂×#41	1	2	yes	—
760	C₂³×C₇	C₂⁵	1	1	yes	characteristic
761	C₇×Q₈	—	4	4	no	—
762	C₇×D₄	—	2	8	no	—
763	C₇×D₄	—	4	4	no	—
764	C₇×D₄	—	4	4	no	—
765	C₂×C₄×C₇	—	2	1	no	—
766	C₂×C₄×C₇	—	2	1	no	—
767	C₂×C₄×C₇	—	2	1	no	—
768	C₂×C₄×C₇	—	2	1	no	—
769	C₂×C₄×C₇	—	2	1	no	—
770	C₂×C₄×C₇	—	2	1	no	—
771	C₂×C₄×C₇	—	2	1	no	—
772	C₂×C₄×C₇	—	2	1	no	—
773	C₂×C₄×C₇	—	2	1	no	—
774	C₂×C₄×C₇	—	2	1	no	—
775	C₂×C₄×C₇	—	2	1	no	—
776	C₂×C₄×C₇	—	2	1	no	—
777	C₂×C₄×C₇	—	2	1	no	—
778	C₂×C₄×C₇	—	2	1	no	—
779	C₂×C₄×C₇	—	2	8	no	—
780	C₂×C₄×C₇	—	2	8	no	—
781	C₂×C₄×C₇	—	2	1	no	—
782	C₂×C₄×C₇	—	2	1	no	—
783	C₂×C₄×C₇	—	2	1	no	—
784	C₂×C₄×C₇	—	2	1	no	—
785	C₂×C₄×C₇	—	2	1	no	—
786	C₂×C₄×C₇	—	2	1	no	—
787	C₂×C₄×C₇	—	2	1	no	—
788	C₂×C₄×C₇	—	2	1	no	—
789	C₂×C₄×C₇	—	2	1	no	—
790	C₂×C₄×C₇	—	2	1	no	—
791	C₂×C₄×C₇	—	2	1	no	—
792	C₂×C₄×C₇	—	2	1	no	—
793	C₂×C₄×C₇	—	2	1	no	—
794	C₂×C₄×C₇	—	2	1	no	—
795	C₂×C₄×C₇	—	2	1	no	—
796	C₂×C₄×C₇	—	2	1	no	—
797	C₂×C₄×C₇	—	2	1	no	—
798	C₂×C₄×C₇	—	2	1	no	—
799	C₂×C₄×C₇	—	2	1	no	—
800	C₂×C₄×C₇	—	2	1	no	—
801	C₂×C₄×C₇	—	2	1	no	—
802	C₂×C₄×C₇	—	2	1	no	—
803	C₂×C₄×C₇	—	2	1	no	—
804	C₂×C₄×C₇	—	2	1	no	—
805	C₂×C₄×C₇	—	2	1	no	—
806	C₂×C₄×C₇	—	2	1	no	—
807	C₂×C₄×C₇	—	2	1	no	—
808	C₂×C₄×C₇	—	2	1	no	—
809	C₂×C₄×C₇	—	2	1	no	—
810	C₂×C₄×C₇	—	2	1	no	—
811	C₂×C₄×C₇	—	2	1	no	—
812	C₂×C₄×C₇	—	2	1	no	—
813	C₂×C₄×C₇	—	2	1	no	—
814	C₂×C₄×C₇	—	2	1	no	—
815	C₂×C₄×C₇	—	2	1	no	—
816	C₂×C₄×C₇	—	2	1	no	—
817	C₂×C₄×C₇	—	2	1	no	—
818	C₂×C₄×C₇	—	2	1	no	—
819	C₂×C₄×C₇	—	2	1	no	—
820	C₂×C₄×C₇	—	2	1	no	—
821	C₂×C₄×C₇	—	2	1	no	—
822	C₂×C₄×C₇	—	2	1	no	—
823	C₂×C₄×C₇	—	2	1	no	—
824	C₂×C₄×C₇	—	2	1	no	—
825	C₂×C₄×C₇	—	2	1	no	—
826	C₂×C₄×C₇	—	2	1	no	—
827	C₂×C₄×C₇	—	2	1	no	—
828	C₂×C₄×C₇	—	2	1	no	—
829	C₂×C₄×C₇	—	2	1	no	—
830	C₂×C₄×C₇	—	2	1	no	—
831	C₂×C₄×C₇	—	2	1	no	—
832	C₂×C₄×C₇	—	2	1	no	—
833	C₂×C₄×C₇	—	2	1	no	—
834	C₂×C₄×C₇	—	2	1	no	—
835	C₂×C₄×C₇	—	2	1	no	—
836	C₂×C₄×C₇	—	2	1	no	—
837	C₂×C₄×C₇	—	2	1	no	—
838	C₂×C₄×C₇	—	4	4	no	—
839	C₂×C₄×C₇	—	4	4	no	—
840	C₂×C₄×C₇	—	4	4	no	—
841	C₂×C₄×C₇	—	4	4	no	—
842	C₂×C₄×C₇	—	4	4	no	—
843	C₂×C₄×C₇	—	4	4	no	—
844	C₂×C₄×C₇	—	4	4	no	—
845	C₂×C₄×C₇	—	4	4	no	—
846	C₂×C₄×C₇	—	4	4	no	—
847	C₂×C₄×C₇	—	4	4	no	—
848	C₂×C₄×C₇	—	4	4	no	—
849	C₂×C₄×C₇	C₂×#41	1	2	yes	—
850	C₂×C₄×C₇	C₂×#41	1	2	yes	—
851	C₂×C₄×C₇	C₂×#41	1	2	yes	—
852	C₂×C₄×C₇	C₂×#41	1	2	yes	—
853	C₂×C₄×C₇	C₂×#41	1	2	yes	—
854	C₂×C₄×C₇	C₂×#41	1	2	yes	—
855	C₂×C₄×C₇	C₂×#41	1	2	yes	—
856	C₂×C₄×C₇	C₂×#41	1	2	yes	—
857	C₂×C₄×C₇	C₂×#41	1	2	yes	—
858	C₂×C₄×C₇	H(5,𝔽₂)	1	2	yes	—
859	C₂⁵	C₂³×C₇	1	1	yes	characteristic
860	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
861	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
862	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
863	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
864	C₂³×C₄	—	2	4	no	—
865	C₂³×C₄	—	2	4	no	—
866	C₂³×C₄	—	4	2	no	—
867	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
868	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
869	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
870	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
871	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
872	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
873	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
874	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
875	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
876	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
877	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
878	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
879	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
880	#126	—	2	4	no	—
881	#123	—	2	4	no	—
882	#123	—	2	4	no	—
883	C₂²⋊Q₈	—	2	4	no	—
884	#120	—	2	4	no	—
885	C₄×Q₈	—	4	2	no	—
886	C₄×D₄	—	2	4	no	—
887	C₄×D₄	—	2	4	no	—
888	C₄×D₄	—	2	4	no	—
889	C₄×D₄	—	2	4	no	—
890	C₄×D₄	—	4	2	no	—
891	#117	—	2	4	no	—
892	#117	—	4	2	no	—
893	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
894	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
895	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
896	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
897	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
898	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
899	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
900	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
901	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
902	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
903	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
904	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
905	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
906	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
907	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
908	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
909	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
910	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
911	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
912	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
913	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
914	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
915	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
916	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
917	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
918	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
919	C₂×C₂²⋊C₄	—	2	4	no	—
920	C₂×C₂²⋊C₄	—	2	4	no	—
921	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
922	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
923	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
924	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
925	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
926	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
927	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
928	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
929	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
930	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
931	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
932	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
933	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
934	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
935	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
936	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
937	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
938	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
939	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
940	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
941	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
942	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
943	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
944	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
945	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
946	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
947	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
948	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
949	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
950	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
951	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
952	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
953	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
954	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
955	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
956	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
957	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
958	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
959	C₂×C₄²	—	2	4	no	—
960	C₂×C₄²	—	4	2	no	—
961	C₂×C₄²	—	4	2	no	—
962	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
963	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
964	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
965	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
966	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
967	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
968	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
969	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
970	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
971	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
972	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
973	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
974	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
975	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
976	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
977	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
978	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
979	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
980	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
981	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
982	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
983	#95	C₂³×C₇	1	1	yes	characteristic
984	#95	C₂³×C₇	1	1	yes	characteristic
985	#95	C₂³×C₇	1	1	yes	characteristic
986	#95	C₂³×C₇	1	1	yes	characteristic
987	#95	C₂³×C₇	1	1	yes	characteristic
988	#95	C₂³×C₇	1	1	yes	characteristic
989	#95	C₂³×C₇	1	1	yes	characteristic
990	#95	C₂³×C₇	1	1	yes	characteristic
991	#95	C₂³×C₇	1	1	yes	characteristic
992	#95	C₂³×C₇	1	1	yes	characteristic
993	#95	C₂³×C₇	1	1	yes	characteristic
994	#95	C₂³×C₇	1	1	yes	characteristic
995	#95	C₂³×C₇	1	1	yes	characteristic
996	#95	C₂³×C₇	1	1	yes	characteristic
997	#95	C₂³×C₇	1	1	yes	characteristic
998	#95	C₂³×C₇	1	1	yes	characteristic
999	#95	C₂³×C₇	1	1	yes	characteristic
1000	#95	C₂³×C₇	1	1	yes	characteristic
1001	#95	C₂³×C₇	1	1	yes	characteristic
1002	#95	C₂³×C₇	1	1	yes	characteristic
1003	#95	C₂³×C₇	1	1	yes	characteristic
1004	#95	C₂³×C₇	1	1	yes	characteristic
1005	#95	C₂³×C₇	1	1	yes	characteristic
1006	#95	C₂³×C₇	1	1	yes	characteristic
1007	#95	C₂³×C₇	1	1	yes	characteristic
1008	#95	C₂³×C₇	1	1	yes	characteristic
1009	#95	C₂³×C₇	1	1	yes	characteristic
1010	#95	C₂³×C₇	1	1	yes	characteristic
1011	#95	C₂³×C₇	1	1	yes	characteristic
1012	#95	C₂³×C₇	1	1	yes	characteristic
1013	#95	C₂³×C₇	1	1	yes	characteristic
1014	#95	C₂³×C₇	1	1	yes	characteristic
1015	#95	C₂³×C₇	1	1	yes	characteristic
1016	#95	C₂³×C₇	1	1	yes	characteristic
1017	#95	C₂³×C₇	1	1	yes	characteristic
1018	#95	C₂³×C₇	1	1	yes	characteristic
1019	#95	C₂³×C₇	1	1	yes	characteristic
1020	#95	C₂³×C₇	1	1	yes	characteristic
1021	#95	C₂³×C₇	1	1	yes	characteristic
1022	#95	C₂³×C₇	1	1	yes	characteristic
1023	#95	C₂³×C₇	1	1	yes	characteristic
1024	#95	C₂³×C₇	1	1	yes	characteristic
1025	#95	C₂³×C₇	1	1	yes	characteristic
1026	#95	C₂³×C₇	1	1	yes	characteristic
1027	#95	C₂³×C₇	1	1	yes	characteristic
1028	#95	C₂³×C₇	1	1	yes	characteristic
1029	#95	C₂³×C₇	1	1	yes	characteristic
1030	#95	C₂³×C₇	1	1	yes	characteristic
1031	#95	C₂³×C₇	1	1	yes	characteristic
1032	#95	C₂³×C₇	1	1	yes	characteristic
1033	#95	C₂³×C₇	1	1	yes	characteristic
1034	#95	C₂³×C₇	1	1	yes	characteristic
1035	C₂²×C₇	—	2	2	no	—
1036	C₂²×C₇	—	2	2	no	—
1037	C₂²×C₇	—	2	2	no	—
1038	C₂²×C₇	—	2	2	no	—
1039	C₂²×C₇	—	2	2	no	—
1040	C₂²×C₇	—	2	2	no	—
1041	C₂²×C₇	—	2	2	no	—
1042	C₂²×C₇	—	2	2	no	—
1043	C₂²×C₇	—	2	2	no	—
1044	C₂²×C₇	—	2	2	no	—
1045	C₂²×C₇	—	2	2	no	—
1046	C₂²×C₇	—	2	2	no	—
1047	C₂²×C₇	—	2	2	no	—
1048	C₂²×C₇	—	2	2	no	—
1049	C₂²×C₇	—	2	2	no	—
1050	C₂²×C₇	—	4	16	no	—
1051	C₂²×C₇	—	4	1	no	—
1052	C₂²×C₇	—	4	1	no	—
1053	C₂²×C₇	—	4	1	no	—
1054	C₂²×C₇	—	4	1	no	—
1055	C₂²×C₇	—	4	1	no	—
1056	C₂²×C₇	—	4	1	no	—
1057	C₂²×C₇	—	4	1	no	—
1058	C₂²×C₇	—	4	1	no	—
1059	C₂²×C₇	—	4	1	no	—
1060	C₂²×C₇	—	4	1	no	—
1061	C₂²×C₇	—	4	1	no	—
1062	C₂²×C₇	—	4	1	no	—
1063	C₂²×C₇	#529	1	4	yes	—
1064	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
1065	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
1066	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
1067	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
1068	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
1069	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1070	C₂²×C₇	#585	1	1	yes	characteristic
1071	C₄×C₇	—	2	2	no	—
1072	C₄×C₇	—	2	2	no	—
1073	C₄×C₇	—	2	2	no	—
1074	C₄×C₇	—	2	2	no	—
1075	C₄×C₇	—	2	2	no	—
1076	C₄×C₇	—	2	2	no	—
1077	C₄×C₇	—	2	2	no	—
1078	C₄×C₇	—	4	1	no	—
1079	C₄×C₇	—	4	1	no	—
1080	C₄×C₇	—	4	1	no	—
1081	C₄×C₇	—	4	1	no	—
1082	C₄×C₇	—	4	1	no	—
1083	C₄×C₇	—	4	1	no	—
1084	C₄×C₇	—	4	1	no	—
1085	C₄×C₇	—	4	1	no	—
1086	C₄×C₇	—	4	1	no	—
1087	C₄×C₇	—	4	1	no	—
1088	C₄×C₇	—	4	1	no	—
1089	C₄×C₇	—	4	1	no	—
1090	C₄×C₇	—	4	1	no	—
1091	C₄×C₇	—	4	1	no	—
1092	C₄×C₇	—	4	1	no	—
1093	C₄×C₇	—	4	1	no	—
1094	C₄×C₇	—	4	1	no	—
1095	C₄×C₇	—	4	1	no	—
1096	C₄×C₇	—	4	1	no	—
1097	C₄×C₇	#551	1	4	yes	—
1098	C₂⁴	—	2	2	no	—
1099	C₂⁴	—	2	2	no	—
1100	C₂⁴	—	2	2	no	—
1101	C₂⁴	—	2	2	no	—
1102	C₂⁴	—	2	2	no	—
1103	C₂⁴	—	4	1	no	—
1104	C₂⁴	—	4	1	no	—
1105	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1106	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1107	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1108	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1109	C₂×Q₈	—	2	2	no	—
1110	C₂×Q₈	—	4	1	no	—
1111	C₂×Q₈	—	4	1	no	—
1112	C₂×D₄	—	2	2	no	—
1113	C₂×D₄	—	2	2	no	—
1114	C₂×D₄	—	2	2	no	—
1115	C₂×D₄	—	2	2	no	—
1116	C₂×D₄	—	2	2	no	—
1117	C₂×D₄	—	2	2	no	—
1118	C₂×D₄	—	4	1	no	—
1119	C₂×D₄	—	4	1	no	—
1120	C₂×D₄	C₇×#41	1	4	yes	—
1121	C₂²×C₄	—	2	2	no	—
1122	C₂²×C₄	—	2	2	no	—
1123	C₂²×C₄	—	2	2	no	—
1124	C₂²×C₄	—	2	2	no	—
1125	C₂²×C₄	—	2	2	no	—
1126	C₂²×C₄	—	2	2	no	—
1127	C₂²×C₄	—	2	2	no	—
1128	C₂²×C₄	—	2	2	no	—
1129	C₂²×C₄	—	2	2	no	—
1130	C₂²×C₄	—	2	2	no	—
1131	C₂²×C₄	—	2	2	no	—
1132	C₂²×C₄	—	2	2	no	—
1133	C₂²×C₄	—	2	2	no	—
1134	C₂²×C₄	—	2	2	no	—
1135	C₂²×C₄	—	2	2	no	—
1136	C₂²×C₄	—	2	2	no	—
1137	C₂²×C₄	—	2	2	no	—
1138	C₂²×C₄	—	2	2	no	—
1139	C₂²×C₄	—	2	2	no	—
1140	C₂²×C₄	—	2	2	no	—
1141	C₂²×C₄	—	2	2	no	—
1142	C₂²×C₄	—	2	2	no	—
1143	C₂²×C₄	—	2	2	no	—
1144	C₂²×C₄	—	2	2	no	—
1145	C₂²×C₄	—	2	2	no	—
1146	C₂²×C₄	—	2	2	no	—
1147	C₂²×C₄	—	4	1	no	—
1148	C₂²×C₄	—	4	1	no	—
1149	C₂²×C₄	—	4	1	no	—
1150	C₂²×C₄	—	4	1	no	—
1151	C₂²×C₄	—	4	1	no	—
1152	C₂²×C₄	—	4	1	no	—
1153	C₂²×C₄	—	4	1	no	—
1154	C₂²×C₄	—	4	1	no	—
1155	C₂²×C₄	—	4	1	no	—
1156	C₂²×C₄	—	4	1	no	—
1157	C₂²×C₄	—	4	16	no	—
1158	C₂²×C₄	C₇×#41	1	4	yes	—
1159	C₂²×C₄	C₇×#41	1	4	yes	—
1160	C₂²×C₄	C₇×#41	1	4	yes	—
1161	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1162	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1163	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1164	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1165	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1166	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1167	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1168	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1169	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1170	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1171	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1172	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1173	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1174	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1175	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1176	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1177	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1178	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1179	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1180	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1181	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1182	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1183	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1184	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1185	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1186	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1187	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1188	C₄⋊C₄	—	2	2	no	—
1189	C₄⋊C₄	—	2	2	no	—
1190	C₄⋊C₄	—	2	2	no	—
1191	C₄⋊C₄	—	2	2	no	—
1192	C₄⋊C₄	—	2	2	no	—
1193	C₄⋊C₄	—	2	2	no	—
1194	C₄⋊C₄	—	2	2	no	—
1195	C₄⋊C₄	—	2	2	no	—
1196	C₄⋊C₄	—	2	2	no	—
1197	C₄⋊C₄	—	2	2	no	—
1198	C₄⋊C₄	—	2	2	no	—
1199	C₄⋊C₄	—	2	2	no	—
1200	C₄⋊C₄	—	2	2	no	—
1201	C₄⋊C₄	—	2	2	no	—
1202	C₄⋊C₄	—	2	2	no	—
1203	C₄⋊C₄	—	2	2	no	—
1204	C₄⋊C₄	—	4	1	no	—
1205	C₄⋊C₄	—	4	1	no	—
1206	C₄⋊C₄	—	4	1	no	—
1207	C₄⋊C₄	—	4	1	no	—
1208	C₄⋊C₄	—	4	1	no	—
1209	C₄⋊C₄	—	4	1	no	—
1210	C₄⋊C₄	—	4	1	no	—
1211	C₄⋊C₄	—	4	1	no	—
1212	C₄⋊C₄	—	4	1	no	—
1213	C₄⋊C₄	—	4	1	no	—
1214	C₂²⋊C₄	—	2	2	no	—
1215	C₂²⋊C₄	—	2	2	no	—
1216	C₂²⋊C₄	—	2	2	no	—
1217	C₂²⋊C₄	—	2	2	no	—
1218	C₂²⋊C₄	—	2	2	no	—
1219	C₂²⋊C₄	—	2	2	no	—
1220	C₂²⋊C₄	—	2	2	no	—
1221	C₂²⋊C₄	—	2	2	no	—
1222	C₂²⋊C₄	—	2	2	no	—
1223	C₂²⋊C₄	—	2	2	no	—
1224	C₂²⋊C₄	—	2	2	no	—
1225	C₂²⋊C₄	—	2	2	no	—
1226	C₂²⋊C₄	—	2	2	no	—
1227	C₂²⋊C₄	—	2	2	no	—
1228	C₂²⋊C₄	—	2	2	no	—
1229	C₂²⋊C₄	—	2	2	no	—
1230	C₂²⋊C₄	—	2	2	no	—
1231	C₂²⋊C₄	—	2	2	no	—
1232	C₂²⋊C₄	—	2	2	no	—
1233	C₂²⋊C₄	—	2	2	no	—
1234	C₂²⋊C₄	—	2	2	no	—
1235	C₂²⋊C₄	—	2	2	no	—
1236	C₂²⋊C₄	—	2	2	no	—
1237	C₂²⋊C₄	—	2	2	no	—
1238	C₂²⋊C₄	—	2	2	no	—
1239	C₂²⋊C₄	—	2	2	no	—
1240	C₂²⋊C₄	—	2	2	no	—
1241	C₂²⋊C₄	—	2	2	no	—
1242	C₂²⋊C₄	—	2	2	no	—
1243	C₂²⋊C₄	—	4	1	no	—
1244	C₂²⋊C₄	—	4	1	no	—
1245	C₂²⋊C₄	—	4	1	no	—
1246	C₂²⋊C₄	—	4	1	no	—
1247	C₂²⋊C₄	—	4	1	no	—
1248	C₂²⋊C₄	—	4	1	no	—
1249	C₂²⋊C₄	—	4	1	no	—
1250	C₂²⋊C₄	—	4	1	no	—
1251	C₂²⋊C₄	C₇×#41	1	4	yes	—
1252	C₄²	—	2	2	no	—
1253	C₄²	—	2	2	no	—
1254	C₄²	—	2	2	no	—
1255	C₄²	—	2	2	no	—
1256	C₄²	—	2	2	no	—
1257	C₄²	—	2	2	no	—
1258	C₄²	—	2	2	no	—
1259	C₄²	—	2	2	no	—
1260	C₄²	—	2	2	no	—
1261	C₄²	—	2	2	no	—
1262	C₄²	—	2	2	no	—
1263	C₄²	—	2	2	no	—
1264	C₄²	—	2	2	no	—
1265	C₄²	—	2	2	no	—
1266	C₄²	—	2	2	no	—
1267	C₄²	—	2	2	no	—
1268	C₄²	—	4	1	no	—
1269	C₄²	—	4	1	no	—
1270	C₄²	—	4	1	no	—
1271	C₄²	—	4	1	no	—
1272	C₄²	—	4	1	no	—
1273	C₂×C₇	—	2	4	no	—
1274	C₂×C₇	—	4	2	no	—
1275	C₂×C₇	—	4	2	no	—
1276	C₂×C₇	—	4	2	no	—
1277	C₂×C₇	C₂×#529	1	1	yes	characteristic
1278	C₂×C₇	#3444	1	1	yes	characteristic
1279	C₂×C₇	#3459	1	1	yes	characteristic
1280	C₂×C₇	C₂×#551	1	1	yes	characteristic
1281	C₂×C₇	#3475	1	1	yes	characteristic
1282	C₂×C₇	#3475	1	1	yes	characteristic
1283	C₂×C₇	#3481	1	1	yes	characteristic
1284	C₂³	—	2	1	no	—
1285	C₂³	—	2	1	no	—
1286	C₂³	—	2	1	no	—
1287	C₂³	—	2	1	no	—
1288	C₂³	—	2	8	no	—
1289	C₂³	—	2	1	no	—
1290	C₂³	—	2	1	no	—
1291	C₂³	—	2	1	no	—
1292	C₂³	—	2	1	no	—
1293	C₂³	—	2	1	no	—
1294	C₂³	—	2	1	no	—
1295	C₂³	—	2	1	no	—
1296	C₂³	—	2	1	no	—
1297	C₂³	—	2	1	no	—
1298	C₂³	—	2	1	no	—
1299	C₂³	—	2	1	no	—
1300	C₂³	—	2	1	no	—
1301	C₂³	—	2	1	no	—
1302	C₂³	—	2	1	no	—
1303	C₂³	—	2	1	no	—
1304	C₂³	—	2	1	no	—
1305	C₂³	—	2	1	no	—
1306	C₂³	—	2	1	no	—
1307	C₂³	—	4	4	no	—
1308	C₂³	—	4	4	no	—
1309	C₂³	—	4	4	no	—
1310	C₂³	—	4	4	no	—
1311	C₂³	—	4	4	no	—
1312	C₂³	—	4	4	no	—
1313	C₂³	C₂×C₇×#41	1	2	yes	—
1314	C₂³	C₂×C₇×#41	1	2	yes	—
1315	C₂³	C₂×C₇×#41	1	2	yes	—
1316	C₂³	C₂×C₇×#41	1	2	yes	—
1317	C₂³	C₂×C₇×#41	1	2	yes	—
1318	C₂³	C₂×C₇×#41	1	2	yes	—
1319	C₂³	C₂⁵×C₇	1	1	yes	characteristic
1320	Q₈	—	4	4	no	—
1321	D₄	—	2	8	no	—
1322	D₄	—	4	4	no	—
1323	D₄	—	4	4	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	1	no	—
1328	C₂×C₄	—	2	1	no	—
1329	C₂×C₄	—	2	1	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	1	no	—
1332	C₂×C₄	—	2	1	no	—
1333	C₂×C₄	—	2	1	no	—
1334	C₂×C₄	—	2	1	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	8	no	—
1339	C₂×C₄	—	2	8	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	1	no	—
1354	C₂×C₄	—	2	1	no	—
1355	C₂×C₄	—	2	1	no	—
1356	C₂×C₄	—	2	1	no	—
1357	C₂×C₄	—	2	1	no	—
1358	C₂×C₄	—	2	1	no	—
1359	C₂×C₄	—	2	1	no	—
1360	C₂×C₄	—	2	1	no	—
1361	C₂×C₄	—	2	1	no	—
1362	C₂×C₄	—	2	1	no	—
1363	C₂×C₄	—	2	1	no	—
1364	C₂×C₄	—	2	1	no	—
1365	C₂×C₄	—	2	1	no	—
1366	C₂×C₄	—	2	1	no	—
1367	C₂×C₄	—	2	1	no	—
1368	C₂×C₄	—	2	1	no	—
1369	C₂×C₄	—	2	1	no	—
1370	C₂×C₄	—	2	1	no	—
1371	C₂×C₄	—	2	1	no	—
1372	C₂×C₄	—	2	1	no	—
1373	C₂×C₄	—	2	1	no	—
1374	C₂×C₄	—	2	1	no	—
1375	C₂×C₄	—	2	1	no	—
1376	C₂×C₄	—	2	1	no	—
1377	C₂×C₄	—	2	1	no	—
1378	C₂×C₄	—	2	1	no	—
1379	C₂×C₄	—	2	1	no	—
1380	C₂×C₄	—	2	1	no	—
1381	C₂×C₄	—	2	1	no	—
1382	C₂×C₄	—	2	1	no	—
1383	C₂×C₄	—	2	1	no	—
1384	C₂×C₄	—	2	1	no	—
1385	C₂×C₄	—	2	1	no	—
1386	C₂×C₄	—	2	1	no	—
1387	C₂×C₄	—	2	1	no	—
1388	C₂×C₄	—	2	1	no	—
1389	C₂×C₄	—	2	1	no	—
1390	C₂×C₄	—	2	1	no	—
1391	C₂×C₄	—	2	1	no	—
1392	C₂×C₄	—	2	1	no	—
1393	C₂×C₄	—	2	1	no	—
1394	C₂×C₄	—	2	1	no	—
1395	C₂×C₄	—	2	1	no	—
1396	C₂×C₄	—	2	1	no	—
1397	C₂×C₄	—	4	4	no	—
1398	C₂×C₄	—	4	4	no	—
1399	C₂×C₄	—	4	4	no	—
1400	C₂×C₄	—	4	4	no	—
1401	C₂×C₄	—	4	4	no	—
1402	C₂×C₄	—	4	4	no	—
1403	C₂×C₄	—	4	4	no	—
1404	C₂×C₄	—	4	4	no	—
1405	C₂×C₄	—	4	4	no	—
1406	C₂×C₄	—	4	4	no	—
1407	C₂×C₄	—	4	4	no	—
1408	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1409	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1410	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1411	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1412	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1413	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1414	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1415	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1416	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1417	C₂×C₄	C₇×H(5,𝔽₂)	1	2	yes	—
1418	C₇	#34849	1	1	yes	characteristic, direct product factor, Sylow
1419	C₂²	—	2	2	no	—
1420	C₂²	—	2	2	no	—
1421	C₂²	—	2	2	no	—
1422	C₂²	—	2	2	no	—
1423	C₂²	—	2	2	no	—
1424	C₂²	—	2	2	no	—
1425	C₂²	—	2	2	no	—
1426	C₂²	—	2	2	no	—
1427	C₂²	—	2	2	no	—
1428	C₂²	—	2	2	no	—
1429	C₂²	—	2	2	no	—
1430	C₂²	—	2	2	no	—
1431	C₂²	—	2	2	no	—
1432	C₂²	—	2	2	no	—
1433	C₂²	—	2	2	no	—
1434	C₂²	—	4	16	no	—
1435	C₂²	—	4	1	no	—
1436	C₂²	—	4	1	no	—
1437	C₂²	—	4	1	no	—
1438	C₂²	—	4	1	no	—
1439	C₂²	—	4	1	no	—
1440	C₂²	—	4	1	no	—
1441	C₂²	—	4	1	no	—
1442	C₂²	—	4	1	no	—
1443	C₂²	—	4	1	no	—
1444	C₂²	—	4	1	no	—
1445	C₂²	—	4	1	no	—
1446	C₂²	—	4	1	no	—
1447	C₂²	C₇×#529	1	4	yes	—
1448	C₂²	C₂²×C₇×#41	1	1	yes	characteristic
1449	C₂²	C₂²×C₇×#41	1	1	yes	characteristic
1450	C₂²	C₂²×C₇×#41	1	1	yes	characteristic
1451	C₂²	C₂²×C₇×#41	1	1	yes	characteristic
1452	C₂²	C₂²×C₇×#41	1	1	yes	characteristic
1453	C₂²	C₂×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1454	C₂²	C₇×#585	1	1	yes	characteristic
1455	C₄	—	2	2	no	—
1456	C₄	—	2	2	no	—
1457	C₄	—	2	2	no	—
1458	C₄	—	2	2	no	—
1459	C₄	—	2	2	no	—
1460	C₄	—	2	2	no	—
1461	C₄	—	2	2	no	—
1462	C₄	—	4	1	no	—
1463	C₄	—	4	1	no	—
1464	C₄	—	4	1	no	—
1465	C₄	—	4	1	no	—
1466	C₄	—	4	1	no	—
1467	C₄	—	4	1	no	—
1468	C₄	—	4	1	no	—
1469	C₄	—	4	1	no	—
1470	C₄	—	4	1	no	—
1471	C₄	—	4	1	no	—
1472	C₄	—	4	1	no	—
1473	C₄	—	4	1	no	—
1474	C₄	—	4	1	no	—
1475	C₄	—	4	1	no	—
1476	C₄	—	4	1	no	—
1477	C₄	—	4	1	no	—
1478	C₄	—	4	1	no	—
1479	C₄	—	4	1	no	—
1480	C₄	—	4	1	no	—
1481	C₄	C₇×#551	1	4	yes	—
1482	C₂	—	2	4	no	—
1483	C₂	—	4	2	no	—
1484	C₂	—	4	2	no	—
1485	C₂	—	4	2	no	—
1486	C₂	C₂×C₇×#529	1	1	yes	characteristic
1487	C₂	C₇×#3444	1	1	yes	characteristic
1488	C₂	C₇×#3459	1	1	yes	characteristic
1489	C₂	C₂×C₇×#551	1	1	yes	characteristic
1490	C₂	C₇×#3475	1	1	yes	characteristic
1491	C₂	C₇×#3475	1	1	yes	characteristic
1492	C₂	C₇×#3481	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄×C₇	C₂⁴
commutator, Frattini, cosocle	C₂³	C₂⁵×C₇
socle	C₂³×C₇	C₂⁵
prime radical	C₂×C₇×#120	C₂²
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂²×C₄×C₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇×#2578	C₂	semidirect
2. C₇×#2577	C₂	semidirect
3. C₇×#2576	C₂	semidirect
4. C₇×#2575	C₂	semidirect
5. C₇×#2574	C₂	semidirect
6. C₇×#2573	C₂	semidirect
7. C₇×#2572	C₂	semidirect
8. C₇×#2569	C₂	semidirect
9. C₇×#2564	C₂	semidirect
10. C₇×#2561	C₂	semidirect
11. C₇×#2553	C₂	semidirect
13. C₇×#2493	C₂	semidirect
14. C₇×#2480	C₂	semidirect
15. C₇×#2419	C₂	semidirect
17. C₇×#2401	C₂	semidirect
18. C₇×#2398	C₂	semidirect
19. C₇×#2396	C₂	semidirect
20. C₇×#2395	C₂	semidirect
21. C₄×C₇×#126	C₂	semidirect
22. C₄×C₇×C₂²⋊Q₈	C₂	semidirect
23. C₄×C₇×#123	C₂	semidirect
24. C₄×C₇×#123	C₂	semidirect
26. C₇×#2298	C₂	semidirect
27. C₇×#2290	C₂	semidirect
28. C₇×#2283	C₂	semidirect
29. C₇×#2280	C₂	semidirect
30. C₄²×C₇×D₄	C₂	semidirect
31. C₂×C₄×C₇×C₂²⋊C₄	C₂	semidirect
38. C₂×C₄×C₇×Q₈	C₂²	semidirect
50. C₂²×C₄²×C₇	C₂²	semidirect
51. C₇×#401	C₂²	semidirect
52. C₇×#400	C₂²	semidirect
53. C₇×#400	C₂²	semidirect
54. C₇×#400	C₂²	semidirect
55. C₇×#400	C₂²	semidirect
56. C₇×#400	C₂²	semidirect
57. C₇×#400	C₂²	semidirect
58. C₇×#400	C₂²	semidirect
60. C₇×#399	C₂²	semidirect
61. C₇×#398	C₂²	semidirect
62. C₇×#398	C₂²	semidirect
63. C₇×#398	C₂²	semidirect
70. C₇×#397	C₂²	semidirect
71. C₇×#397	C₂²	semidirect
75. C₇×#395	C₂²	semidirect
82. C₇×#393	C₂²	semidirect
83. C₇×#391	C₂²	semidirect
84. C₇×#389	C₂²	semidirect
96. C₇×#388	C₂²	semidirect
97. C₇×#388	C₂²	semidirect
98. C₇×#387	C₂²	semidirect
99. C₇×#387	C₂²	semidirect
100. C₇×#387	C₂²	semidirect
101. C₇×#387	C₂²	semidirect
102. C₇×#387	C₂²	semidirect
103. C₇×#387	C₂²	semidirect
104. C₇×#387	C₂²	semidirect
105. C₇×#387	C₂²	semidirect
106. C₇×#387	C₂²	semidirect
107. C₇×#387	C₂²	semidirect
108. C₇×#387	C₂²	semidirect
109. C₇×#387	C₂²	semidirect
110. C₇×#387	C₂²	semidirect
111. C₇×#387	C₂²	semidirect
112. C₇×#387	C₂²	semidirect
126. C₇×#385	C₂²	semidirect
127. C₇×#385	C₂²	semidirect
128. C₇×#385	C₂²	semidirect
129. C₇×#383	C₂²	semidirect
130. C₇×#383	C₂²	semidirect
131. C₇×#383	C₂²	semidirect
132. C₇×#382	C₂²	semidirect
133. C₇×#382	C₂²	semidirect
139. C₇×#381	C₂²	semidirect
150. C₄×C₇×C₄⋊C₄	C₂²	semidirect
151. C₄×C₇×C₄⋊C₄	C₂²	semidirect
152. C₄×C₇×C₄⋊C₄	C₂²	semidirect
153. C₄×C₇×C₄⋊C₄	C₂²	semidirect
154. C₄×C₇×C₄⋊C₄	C₂²	semidirect
155. C₄×C₇×C₄⋊C₄	C₂²	semidirect
156. C₄×C₇×C₄⋊C₄	C₂²	semidirect
157. C₄×C₇×C₄⋊C₄	C₂²	semidirect
158. C₄×C₇×C₄⋊C₄	C₂²	semidirect
159. C₄×C₇×C₄⋊C₄	C₂²	semidirect
177. C₄×C₇×C₂²⋊C₄	C₂²	semidirect
178. C₄×C₇×C₂²⋊C₄	C₂²	semidirect
179. C₄×C₇×C₂²⋊C₄	C₂²	semidirect
180. C₄×C₇×C₂²⋊C₄	C₂²	semidirect
181. C₄×C₇×C₂²⋊C₄	C₂²	semidirect
182. C₇×#376	C₂²	semidirect
183. C₇×#376	C₂²	semidirect
186. C₄³×C₇	C₂²	semidirect
187. #34849	C₇	direct (N × H)
364. #2578	C₂×C₇	semidirect
365. #2577	C₂×C₇	semidirect
366. #2576	C₂×C₇	semidirect
367. #2575	C₂×C₇	semidirect
368. #2574	C₂×C₇	semidirect
369. #2573	C₂×C₇	semidirect
370. #2572	C₂×C₇	semidirect
371. #2569	C₂×C₇	semidirect
372. #2564	C₂×C₇	semidirect
373. #2561	C₂×C₇	semidirect
374. #2553	C₂×C₇	semidirect
376. #2493	C₂×C₇	semidirect
377. #2480	C₂×C₇	semidirect
378. #2419	C₂×C₇	semidirect
380. #2401	C₂×C₇	semidirect
381. #2398	C₂×C₇	semidirect
382. #2396	C₂×C₇	semidirect
383. #2395	C₂×C₇	semidirect
384. C₄×#126	C₂×C₇	semidirect
385. C₄×C₂²⋊Q₈	C₂×C₇	semidirect
386. C₄×#123	C₂×C₇	semidirect
387. C₄×#123	C₂×C₇	semidirect
389. #2298	C₂×C₇	semidirect
390. #2290	C₂×C₇	semidirect
391. #2283	C₂×C₇	semidirect
392. #2280	C₂×C₇	semidirect
393. C₄²×D₄	C₂×C₇	semidirect
394. C₂×C₄×C₂²⋊C₄	C₂×C₇	semidirect
576. C₂×C₄×Q₈	C₂²×C₇	semidirect
588. C₂²×C₄²	C₂²×C₇	semidirect
589. #401	C₂²×C₇	semidirect
590. #400	C₂²×C₇	semidirect
591. #400	C₂²×C₇	semidirect
592. #400	C₂²×C₇	semidirect
593. #400	C₂²×C₇	semidirect
594. #400	C₂²×C₇	semidirect
595. #400	C₂²×C₇	semidirect
596. #400	C₂²×C₇	semidirect
598. #399	C₂²×C₇	semidirect
599. #398	C₂²×C₇	semidirect
600. #398	C₂²×C₇	semidirect
601. #398	C₂²×C₇	semidirect
608. #397	C₂²×C₇	semidirect
609. #397	C₂²×C₇	semidirect
613. #395	C₂²×C₇	semidirect
620. #393	C₂²×C₇	semidirect
621. #391	C₂²×C₇	semidirect
622. #389	C₂²×C₇	semidirect
634. #388	C₂²×C₇	semidirect
635. #388	C₂²×C₇	semidirect
636. #387	C₂²×C₇	semidirect
637. #387	C₂²×C₇	semidirect
638. #387	C₂²×C₇	semidirect
639. #387	C₂²×C₇	semidirect
640. #387	C₂²×C₇	semidirect
641. #387	C₂²×C₇	semidirect
642. #387	C₂²×C₇	semidirect
643. #387	C₂²×C₇	semidirect
644. #387	C₂²×C₇	semidirect
645. #387	C₂²×C₇	semidirect
646. #387	C₂²×C₇	semidirect
647. #387	C₂²×C₇	semidirect
648. #387	C₂²×C₇	semidirect
649. #387	C₂²×C₇	semidirect
650. #387	C₂²×C₇	semidirect
664. #385	C₂²×C₇	semidirect
665. #385	C₂²×C₇	semidirect
666. #385	C₂²×C₇	semidirect
667. #383	C₂²×C₇	semidirect
668. #383	C₂²×C₇	semidirect
669. #383	C₂²×C₇	semidirect
670. #382	C₂²×C₇	semidirect
671. #382	C₂²×C₇	semidirect
677. #381	C₂²×C₇	semidirect
688. C₄×C₄⋊C₄	C₂²×C₇	semidirect
689. C₄×C₄⋊C₄	C₂²×C₇	semidirect
690. C₄×C₄⋊C₄	C₂²×C₇	semidirect
691. C₄×C₄⋊C₄	C₂²×C₇	semidirect
692. C₄×C₄⋊C₄	C₂²×C₇	semidirect
693. C₄×C₄⋊C₄	C₂²×C₇	semidirect
694. C₄×C₄⋊C₄	C₂²×C₇	semidirect
695. C₄×C₄⋊C₄	C₂²×C₇	semidirect
696. C₄×C₄⋊C₄	C₂²×C₇	semidirect
697. C₄×C₄⋊C₄	C₂²×C₇	semidirect
715. C₄×C₂²⋊C₄	C₂²×C₇	semidirect
716. C₄×C₂²⋊C₄	C₂²×C₇	semidirect
717. C₄×C₂²⋊C₄	C₂²×C₇	semidirect
718. C₄×C₂²⋊C₄	C₂²×C₇	semidirect
719. C₄×C₂²⋊C₄	C₂²×C₇	semidirect
720. #376	C₂²×C₇	semidirect
721. #376	C₂²×C₇	semidirect
724. C₄³	C₂²×C₇	semidirect
1418. C₇	#34849	direct (N × H)

Maximal subgroups

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

subgroup	index
C₇×#2578	2
C₇×#2577	2
C₇×#2576	2
C₇×#2575	2
C₇×#2574	2
C₇×#2573	2
C₇×#2572	2
C₇×#2569	2
C₇×#2564	2
C₇×#2561	2
C₇×#2553	2
C₇×#2534	2
C₇×#2493	2
C₇×#2480	2
C₇×#2419	2
C₇×#2418	2
C₇×#2401	2
C₇×#2398	2
C₇×#2396	2
C₇×#2395	2
C₄×C₇×#126	2
C₄×C₇×C₂²⋊Q₈	2
C₄×C₇×#123	2
C₄×C₇×#120	2
C₇×#2298	2
C₇×#2290	2
C₇×#2283	2
C₇×#2280	2
C₄²×C₇×D₄	2
C₂×C₄×C₇×C₂²⋊C₄	2
#34849	7

Subgroups — C7×#34849 #13212065

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#34849 #13212065