Subgroups — C₇×#34670 #13211886

Order 1792.

3014 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₇×#529	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×C₄×C₇×D₄	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#2481	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇×#2480	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇×#2473	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇×#2472	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇×#2467	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇×#2466	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇×#2460	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇×#2459	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇×#2450	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#2444	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#2437	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#2425	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#2419	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇×#2412	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇×#2410	C₂	1	1	yes	maximal, characteristic
18	C₇×#2405	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇×#2398	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇×#2395	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇×#2392	C₂	1	1	yes	maximal, characteristic, complemented
22	C₇×#2392	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×C₇×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×C₇×#123	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄×C₇×#121	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄×C₇×#120	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄×C₇×#120	C₂	1	1	yes	maximal, characteristic, complemented
28	C₇×#2290	C₂	1	1	yes	maximal, characteristic, complemented
29	C₇×#2290	C₂	1	1	yes	maximal, characteristic, complemented
30	C₇×#2280	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₄×C₇×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×C₇×D₄	C₂²	1	1	yes	characteristic
33	C₂⁴×C₄×C₇	C₂²	1	1	yes	characteristic
34	C₂⁴×C₄×C₇	C₂²	1	1	yes	characteristic
35	C₇×#529	—	2	8	no	—
36	C₂×C₇×#126	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₇×#126	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₇×#125	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₇×#124	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₇×#123	C₂²	1	1	yes	characteristic
41	C₂×C₇×#123	C₂²	1	1	yes	characteristic
42	C₂×C₇×#123	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
44	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₇×#121	C₂²	1	1	yes	characteristic
46	C₂×C₇×#121	C₂²	1	1	yes	characteristic
47	C₂×C₇×#120	C₂²	1	1	yes	characteristic
48	C₂×C₇×#120	C₂²	1	1	yes	characteristic
49	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₄×C₇×D₄	—	2	8	no	—
51	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
52	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
53	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
54	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
55	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
56	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
57	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
58	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
59	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
60	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
61	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
62	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
63	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
64	C₂×C₇×#117	C₂²	1	1	yes	characteristic, complemented
65	C₂×C₇×#117	C₂²	1	1	yes	characteristic, complemented
66	C₂×C₇×#117	C₂²	1	1	yes	characteristic, complemented
67	C₂²×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
68	C₂²×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
69	C₂²×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
70	C₂²×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
71	C₂²×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
72	C₂²×C₄²×C₇	C₂²	1	1	yes	characteristic
73	C₂²×C₄²×C₇	C₂²	1	1	yes	characteristic, complemented
74	C₂²×C₄²×C₇	C₂²	1	1	yes	characteristic, complemented
75	C₇×#400	C₂²	1	1	yes	characteristic, complemented
76	C₇×#400	C₂²	1	1	yes	characteristic, complemented
77	C₇×#400	C₂²	1	1	yes	characteristic, complemented
78	C₇×#399	C₂²	1	1	yes	characteristic, complemented
79	C₇×#398	C₂²	1	1	yes	characteristic, complemented
80	C₇×#398	C₂²	1	1	yes	characteristic, complemented
81	C₇×#398	C₂²	1	1	yes	characteristic, complemented
82	C₇×#397	C₂²	1	1	yes	characteristic, complemented
83	C₇×#397	C₂²	1	1	yes	characteristic, complemented
84	C₇×#397	C₂²	1	1	yes	characteristic, complemented
85	C₇×#397	C₂²	1	1	yes	characteristic, complemented
86	C₇×#397	C₂²	1	1	yes	characteristic, complemented
87	C₇×#397	C₂²	1	1	yes	characteristic, complemented
88	C₇×#397	C₂²	1	1	yes	characteristic, complemented
89	C₇×#396	C₂²	1	1	yes	characteristic, complemented
90	C₇×#396	C₂²	1	1	yes	characteristic, complemented
91	C₇×#396	C₂²	1	1	yes	characteristic, complemented
92	C₇×#396	C₂²	1	1	yes	characteristic, complemented
93	C₇×#394	C₂²	1	1	yes	characteristic
94	C₇×#394	C₂²	1	1	yes	characteristic
95	C₇×#394	C₂²	1	1	yes	characteristic
96	C₇×#394	C₂²	1	1	yes	characteristic
97	C₇×#394	C₂²	1	1	yes	characteristic
98	C₇×#394	C₂²	1	1	yes	characteristic
99	C₇×#394	C₂²	1	1	yes	characteristic, complemented
100	C₇×#394	C₂²	1	1	yes	characteristic, complemented
101	C₇×#394	C₂²	1	1	yes	characteristic, complemented
102	C₇×#394	C₂²	1	1	yes	characteristic, complemented
103	C₇×#393	C₂²	1	1	yes	characteristic, complemented
104	C₇×#393	C₂²	1	1	yes	characteristic, complemented
105	C₇×#392	C₂²	1	1	yes	characteristic
106	C₇×#392	C₂²	1	1	yes	characteristic
107	C₇×#391	C₂²	1	1	yes	characteristic, complemented
108	C₇×#390	C₂²	1	1	yes	characteristic, complemented
109	C₇×#389	C₂²	1	1	yes	characteristic, complemented
110	C₇×#389	C₂²	1	1	yes	characteristic, complemented
111	C₇×#388	C₂²	1	1	yes	characteristic, complemented
112	C₇×#388	C₂²	1	1	yes	characteristic, complemented
113	C₇×#388	C₂²	1	1	yes	characteristic, complemented
114	C₇×#388	C₂²	1	1	yes	characteristic, complemented
115	C₇×#388	C₂²	1	1	yes	characteristic, complemented
116	C₇×#388	C₂²	1	1	yes	characteristic, complemented
117	C₇×#388	C₂²	1	1	yes	characteristic, complemented
118	C₇×#388	C₂²	1	1	yes	characteristic, complemented
119	C₇×#387	C₂²	1	1	yes	characteristic, complemented
120	C₇×#387	C₂²	1	1	yes	characteristic, complemented
121	C₇×#387	C₂²	1	1	yes	characteristic, complemented
122	C₇×#387	C₂²	1	1	yes	characteristic, complemented
123	C₇×#387	C₂²	1	1	yes	characteristic, complemented
124	C₇×#387	C₂²	1	1	yes	characteristic, complemented
125	C₇×#387	C₂²	1	1	yes	characteristic, complemented
126	C₇×#387	C₂²	1	1	yes	characteristic, complemented
127	C₇×#386	C₂²	1	1	yes	characteristic
128	C₇×#386	C₂²	1	1	yes	characteristic
129	C₇×#386	C₂²	1	1	yes	characteristic
130	C₇×#386	C₂²	1	1	yes	characteristic
131	C₇×#386	C₂²	1	1	yes	characteristic
132	C₇×#386	C₂²	1	1	yes	characteristic
133	C₇×#386	C₂²	1	1	yes	characteristic
134	C₇×#386	C₂²	1	1	yes	characteristic
135	C₇×#386	C₂²	1	1	yes	characteristic, complemented
136	C₇×#386	C₂²	1	1	yes	characteristic, complemented
137	C₇×#386	C₂²	1	1	yes	characteristic, complemented
138	C₇×#386	C₂²	1	1	yes	characteristic, complemented
139	C₇×#386	C₂²	1	1	yes	characteristic, complemented
140	C₇×#385	C₂²	1	1	yes	characteristic
141	C₇×#385	C₂²	1	1	yes	characteristic
142	C₇×#385	C₂²	1	1	yes	characteristic
143	C₇×#385	C₂²	1	1	yes	characteristic
144	C₇×#385	C₂²	1	1	yes	characteristic
145	C₇×#385	C₂²	1	1	yes	characteristic
146	C₇×#385	C₂²	1	1	yes	characteristic, complemented
147	C₇×#385	C₂²	1	1	yes	characteristic, complemented
148	C₇×#385	C₂²	1	1	yes	characteristic, complemented
149	C₇×#385	C₂²	1	1	yes	characteristic, complemented
150	C₇×#385	C₂²	1	1	yes	characteristic, complemented
151	C₇×#385	C₂²	1	1	yes	characteristic, complemented
152	C₇×#385	C₂²	1	1	yes	characteristic, complemented
153	C₇×#381	C₂²	1	1	yes	characteristic, complemented
154	C₇×#381	C₂²	1	1	yes	characteristic, complemented
155	C₇×#381	C₂²	1	1	yes	characteristic, complemented
156	C₇×#380	C₂²	1	1	yes	characteristic
157	C₇×#380	C₂²	1	1	yes	characteristic
158	C₇×#380	C₂²	1	1	yes	characteristic
159	C₇×#380	C₂²	1	1	yes	characteristic, complemented
160	C₇×#380	C₂²	1	1	yes	characteristic, complemented
161	C₇×#380	C₂²	1	1	yes	characteristic, complemented
162	C₇×#379	C₂²	1	1	yes	characteristic
163	C₇×#379	C₂²	1	1	yes	characteristic
164	C₇×#379	C₂²	1	1	yes	characteristic
165	C₇×#379	C₂²	1	1	yes	characteristic
166	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
167	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
168	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
169	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
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, complemented
176	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
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	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
183	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
184	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
185	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
186	C₇×#376	C₂²	1	1	yes	characteristic, complemented
187	C₂×C₇×#95	C₂²	1	1	yes	characteristic, complemented
188	C₂×C₇×#95	C₂²	1	1	yes	characteristic, complemented
189	#34670	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
190	C₂⁵×C₇	C₂³	1	1	yes	characteristic
191	C₂⁵×C₇	C₂³	1	1	yes	characteristic
192	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
193	C₂²×C₇×D₄	—	2	4	no	—
194	C₂²×C₇×D₄	—	2	4	no	—
195	C₂²×C₇×D₄	—	2	4	no	—
196	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
197	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
198	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
199	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
200	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
201	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
202	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
203	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
204	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
205	C₂³×C₄×C₇	—	2	4	no	—
206	C₂³×C₄×C₇	—	2	4	no	—
207	C₂³×C₄×C₇	—	2	4	no	—
208	C₂³×C₄×C₇	—	2	4	no	—
209	C₂³×C₄×C₇	—	4	2	no	—
210	C₂³×C₄×C₇	—	4	2	no	—
211	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
212	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
213	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
214	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
215	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
216	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
217	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
218	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
219	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
220	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
221	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
222	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
223	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
224	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
225	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
226	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
227	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
228	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
229	C₇×#126	—	2	4	no	—
230	C₇×#126	—	2	4	no	—
231	C₇×#125	—	2	4	no	—
232	C₇×#124	—	2	4	no	—
233	C₇×#123	—	2	4	no	—
234	C₇×#123	—	2	4	no	—
235	C₇×#123	—	2	4	no	—
236	C₇×C₂²⋊Q₈	—	2	4	no	—
237	C₇×C₂²⋊Q₈	—	2	4	no	—
238	C₇×#121	—	2	4	no	—
239	C₇×#121	—	2	4	no	—
240	C₇×#120	—	2	4	no	—
241	C₇×#120	—	2	4	no	—
242	C₄×C₇×Q₈	—	2	4	no	—
243	C₄×C₇×D₄	—	2	4	no	—
244	C₄×C₇×D₄	—	2	4	no	—
245	C₄×C₇×D₄	—	2	4	no	—
246	C₄×C₇×D₄	—	2	4	no	—
247	C₄×C₇×D₄	—	2	4	no	—
248	C₄×C₇×D₄	—	2	4	no	—
249	C₄×C₇×D₄	—	2	4	no	—
250	C₄×C₇×D₄	—	2	4	no	—
251	C₄×C₇×D₄	—	2	4	no	—
252	C₄×C₇×D₄	—	2	4	no	—
253	C₄×C₇×D₄	—	4	2	no	—
254	C₄×C₇×D₄	—	4	2	no	—
255	C₄×C₇×D₄	D₄	1	8	yes	complemented
256	C₇×#117	—	2	4	no	—
257	C₇×#117	—	2	4	no	—
258	C₇×#117	—	4	2	no	—
259	C₂×C₇×C₄⋊C₄	—	2	4	no	—
260	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×C₇×C₂²⋊C₄	—	2	4	no	—
287	C₂×C₇×C₂²⋊C₄	—	2	4	no	—
288	C₂×C₇×C₂²⋊C₄	—	2	4	no	—
289	C₂×C₇×C₂²⋊C₄	—	2	4	no	—
290	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
296	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
302	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
305	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
306	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
307	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
308	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
309	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
310	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
311	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
312	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
313	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
314	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
315	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
316	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
317	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
318	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
319	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
320	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
321	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
322	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
323	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
324	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
325	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
326	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
327	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
328	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
329	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
330	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
331	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
332	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
333	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
334	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
335	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
336	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
337	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
338	C₂×C₄²×C₇	—	2	4	no	—
339	C₂×C₄²×C₇	—	2	4	no	—
340	C₂×C₄²×C₇	—	4	2	no	—
341	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
342	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
343	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
344	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
345	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
346	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
347	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
348	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
349	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
350	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
351	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
352	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
353	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
354	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
355	C₂×C₄²×C₇	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	C₇×#95	C₂³	1	1	yes	characteristic
365	C₇×#95	C₂³	1	1	yes	characteristic
366	C₇×#95	C₂³	1	1	yes	characteristic
367	C₇×#95	C₂³	1	1	yes	characteristic
368	C₇×#95	C₂³	1	1	yes	characteristic
369	C₇×#95	C₂³	1	1	yes	characteristic
370	C₇×#95	C₂³	1	1	yes	characteristic
371	C₇×#95	C₂³	1	1	yes	characteristic
372	C₇×#95	C₂³	1	1	yes	characteristic
373	C₇×#95	C₂³	1	1	yes	characteristic
374	C₇×#95	C₂³	1	1	yes	characteristic
375	C₇×#95	C₂³	1	1	yes	characteristic
376	C₇×#95	C₂³	1	1	yes	characteristic
377	C₇×#95	C₂³	1	1	yes	characteristic
378	C₇×#95	C₂³	1	1	yes	characteristic
379	C₇×#95	C₂³	1	1	yes	characteristic
380	C₇×#95	C₂³	1	1	yes	characteristic
381	C₇×#95	C₂³	1	1	yes	characteristic
382	C₇×#95	C₂³	1	1	yes	characteristic
383	C₇×#95	C₂³	1	1	yes	characteristic
384	C₇×#95	C₂³	1	1	yes	characteristic
385	C₇×#95	C₂³	1	1	yes	characteristic
386	C₇×#95	C₂³	1	1	yes	characteristic
387	C₇×#95	C₂³	1	1	yes	characteristic
388	C₇×#95	C₂³	1	1	yes	characteristic
389	C₇×#95	C₂³	1	1	yes	characteristic
390	C₇×#95	C₂³	1	1	yes	characteristic
391	C₇×#95	C₂³	1	1	yes	characteristic
392	C₂×#529	C₂×C₇	1	1	yes	characteristic, complemented
393	C₂²×C₄×D₄	C₂×C₇	1	1	yes	characteristic, complemented
394	#2481	C₂×C₇	1	1	yes	characteristic, complemented
395	#2480	C₂×C₇	1	1	yes	characteristic, complemented
396	#2473	C₂×C₇	1	1	yes	characteristic, complemented
397	#2472	C₂×C₇	1	1	yes	characteristic, complemented
398	#2467	C₂×C₇	1	1	yes	characteristic, complemented
399	#2466	C₂×C₇	1	1	yes	characteristic, complemented
400	#2460	C₂×C₇	1	1	yes	characteristic, complemented
401	#2459	C₂×C₇	1	1	yes	characteristic, complemented
402	#2450	C₂×C₇	1	1	yes	characteristic, complemented
403	#2444	C₂×C₇	1	1	yes	characteristic, complemented
404	#2437	C₂×C₇	1	1	yes	characteristic, complemented
405	#2425	C₂×C₇	1	1	yes	characteristic, complemented
406	#2419	C₂×C₇	1	1	yes	characteristic, complemented
407	#2412	C₂×C₇	1	1	yes	characteristic, complemented
408	#2410	C₂×C₇	1	1	yes	characteristic
409	#2405	C₂×C₇	1	1	yes	characteristic, complemented
410	#2398	C₂×C₇	1	1	yes	characteristic, complemented
411	#2395	C₂×C₇	1	1	yes	characteristic, complemented
412	#2392	C₂×C₇	1	1	yes	characteristic, complemented
413	#2392	C₂×C₇	1	1	yes	characteristic, complemented
414	C₄×C₂²⋊Q₈	C₂×C₇	1	1	yes	characteristic, complemented
415	C₄×#123	C₂×C₇	1	1	yes	characteristic, complemented
416	C₄×#121	C₂×C₇	1	1	yes	characteristic, complemented
417	C₄×#120	C₂×C₇	1	1	yes	characteristic, complemented
418	C₄×#120	C₂×C₇	1	1	yes	characteristic, complemented
419	#2290	C₂×C₇	1	1	yes	characteristic, complemented
420	#2290	C₂×C₇	1	1	yes	characteristic, complemented
421	#2280	C₂×C₇	1	1	yes	characteristic, complemented
422	C₂×C₄×C₂²⋊C₄	C₂×C₇	1	1	yes	characteristic, complemented
423	C₂⁴×C₇	—	2	2	no	—
424	C₂⁴×C₇	—	2	2	no	—
425	C₂⁴×C₇	—	2	2	no	—
426	C₂⁴×C₇	—	2	2	no	—
427	C₂⁴×C₇	—	2	2	no	—
428	C₂⁴×C₇	—	2	2	no	—
429	C₂⁴×C₇	—	2	2	no	—
430	C₂⁴×C₇	—	2	2	no	—
431	C₂⁴×C₇	—	2	2	no	—
432	C₂⁴×C₇	—	4	1	no	—
433	C₂⁴×C₇	—	4	1	no	—
434	C₂⁴×C₇	—	4	1	no	—
435	C₂⁴×C₇	—	4	1	no	—
436	C₂⁴×C₇	#41	1	4	yes	—
437	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
438	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
439	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
440	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
441	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
442	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
443	C₂×C₇×Q₈	—	2	2	no	—
444	C₂×C₇×Q₈	—	2	2	no	—
445	C₂×C₇×Q₈	—	4	1	no	—
446	C₂×C₇×D₄	—	2	32	no	—
447	C₂×C₇×D₄	—	2	2	no	—
448	C₂×C₇×D₄	—	2	2	no	—
449	C₂×C₇×D₄	—	2	2	no	—
450	C₂×C₇×D₄	—	2	2	no	—
451	C₂×C₇×D₄	—	2	2	no	—
452	C₂×C₇×D₄	—	2	2	no	—
453	C₂×C₇×D₄	—	2	2	no	—
454	C₂×C₇×D₄	—	2	2	no	—
455	C₂×C₇×D₄	—	2	2	no	—
456	C₂×C₇×D₄	—	2	2	no	—
457	C₂×C₇×D₄	—	2	2	no	—
458	C₂×C₇×D₄	—	2	2	no	—
459	C₂×C₇×D₄	—	2	2	no	—
460	C₂×C₇×D₄	—	2	2	no	—
461	C₂×C₇×D₄	—	2	2	no	—
462	C₂×C₇×D₄	—	2	2	no	—
463	C₂×C₇×D₄	—	2	2	no	—
464	C₂×C₇×D₄	—	2	2	no	—
465	C₂×C₇×D₄	—	2	2	no	—
466	C₂×C₇×D₄	—	2	2	no	—
467	C₂×C₇×D₄	—	2	2	no	—
468	C₂×C₇×D₄	—	4	1	no	—
469	C₂×C₇×D₄	—	4	1	no	—
470	C₂×C₇×D₄	—	4	1	no	—
471	C₂×C₇×D₄	—	4	1	no	—
472	C₂×C₇×D₄	C₂×D₄	1	4	yes	—
473	C₂×C₇×D₄	#41	1	4	yes	—
474	C₂²×C₄×C₇	—	2	2	no	—
475	C₂²×C₄×C₇	—	2	2	no	—
476	C₂²×C₄×C₇	—	2	2	no	—
477	C₂²×C₄×C₇	—	2	2	no	—
478	C₂²×C₄×C₇	—	2	2	no	—
479	C₂²×C₄×C₇	—	2	2	no	—
480	C₂²×C₄×C₇	—	2	2	no	—
481	C₂²×C₄×C₇	—	2	2	no	—
482	C₂²×C₄×C₇	—	2	2	no	—
483	C₂²×C₄×C₇	—	2	2	no	—
484	C₂²×C₄×C₇	—	2	2	no	—
485	C₂²×C₄×C₇	—	2	2	no	—
486	C₂²×C₄×C₇	—	2	2	no	—
487	C₂²×C₄×C₇	—	2	2	no	—
488	C₂²×C₄×C₇	—	2	2	no	—
489	C₂²×C₄×C₇	—	2	2	no	—
490	C₂²×C₄×C₇	—	2	2	no	—
491	C₂²×C₄×C₇	—	2	2	no	—
492	C₂²×C₄×C₇	—	2	2	no	—
493	C₂²×C₄×C₇	—	2	2	no	—
494	C₂²×C₄×C₇	—	2	2	no	—
495	C₂²×C₄×C₇	—	2	2	no	—
496	C₂²×C₄×C₇	—	2	2	no	—
497	C₂²×C₄×C₇	—	2	2	no	—
498	C₂²×C₄×C₇	—	2	2	no	—
499	C₂²×C₄×C₇	—	2	2	no	—
500	C₂²×C₄×C₇	—	2	2	no	—
501	C₂²×C₄×C₇	—	2	2	no	—
502	C₂²×C₄×C₇	—	2	2	no	—
503	C₂²×C₄×C₇	—	2	2	no	—
504	C₂²×C₄×C₇	—	2	2	no	—
505	C₂²×C₄×C₇	—	2	2	no	—
506	C₂²×C₄×C₇	—	2	2	no	—
507	C₂²×C₄×C₇	—	2	2	no	—
508	C₂²×C₄×C₇	—	2	2	no	—
509	C₂²×C₄×C₇	—	2	2	no	—
510	C₂²×C₄×C₇	—	2	2	no	—
511	C₂²×C₄×C₇	—	2	2	no	—
512	C₂²×C₄×C₇	—	2	2	no	—
513	C₂²×C₄×C₇	—	2	2	no	—
514	C₂²×C₄×C₇	—	4	1	no	—
515	C₂²×C₄×C₇	—	4	1	no	—
516	C₂²×C₄×C₇	—	4	1	no	—
517	C₂²×C₄×C₇	—	4	1	no	—
518	C₂²×C₄×C₇	—	4	1	no	—
519	C₂²×C₄×C₇	—	4	1	no	—
520	C₂²×C₄×C₇	—	4	1	no	—
521	C₂²×C₄×C₇	—	4	1	no	—
522	C₂²×C₄×C₇	—	4	1	no	—
523	C₂²×C₄×C₇	—	4	1	no	—
524	C₂²×C₄×C₇	—	4	1	no	—
525	C₂²×C₄×C₇	—	4	16	no	—
526	C₂²×C₄×C₇	—	4	16	no	—
527	C₂²×C₄×C₇	C₂×D₄	1	4	yes	—
528	C₂²×C₄×C₇	C₂×D₄	1	4	yes	—
529	C₂²×C₄×C₇	#41	1	4	yes	—
530	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
531	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
532	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
533	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
534	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
535	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
536	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
537	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
538	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
539	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
540	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
541	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
542	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
543	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
544	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
545	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
546	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
547	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
548	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
549	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
550	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
551	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
552	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
553	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
554	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
555	C₇×C₄⋊C₄	—	2	2	no	—
556	C₇×C₄⋊C₄	—	2	2	no	—
557	C₇×C₄⋊C₄	—	2	2	no	—
558	C₇×C₄⋊C₄	—	2	2	no	—
559	C₇×C₄⋊C₄	—	2	2	no	—
560	C₇×C₄⋊C₄	—	2	2	no	—
561	C₇×C₄⋊C₄	—	2	2	no	—
562	C₇×C₄⋊C₄	—	2	2	no	—
563	C₇×C₄⋊C₄	—	2	2	no	—
564	C₇×C₄⋊C₄	—	2	2	no	—
565	C₇×C₄⋊C₄	—	2	2	no	—
566	C₇×C₄⋊C₄	—	2	2	no	—
567	C₇×C₄⋊C₄	—	2	2	no	—
568	C₇×C₄⋊C₄	—	2	2	no	—
569	C₇×C₄⋊C₄	—	2	2	no	—
570	C₇×C₄⋊C₄	—	2	2	no	—
571	C₇×C₄⋊C₄	—	2	2	no	—
572	C₇×C₄⋊C₄	—	2	2	no	—
573	C₇×C₄⋊C₄	—	2	2	no	—
574	C₇×C₄⋊C₄	—	4	1	no	—
575	C₇×C₄⋊C₄	—	4	1	no	—
576	C₇×C₄⋊C₄	—	4	1	no	—
577	C₇×C₄⋊C₄	—	4	1	no	—
578	C₇×C₄⋊C₄	—	4	1	no	—
579	C₇×C₄⋊C₄	—	4	1	no	—
580	C₇×C₄⋊C₄	C₂×D₄	1	4	yes	—
581	C₇×C₂²⋊C₄	—	2	2	no	—
582	C₇×C₂²⋊C₄	—	2	2	no	—
583	C₇×C₂²⋊C₄	—	2	2	no	—
584	C₇×C₂²⋊C₄	—	2	2	no	—
585	C₇×C₂²⋊C₄	—	2	2	no	—
586	C₇×C₂²⋊C₄	—	2	2	no	—
587	C₇×C₂²⋊C₄	—	2	2	no	—
588	C₇×C₂²⋊C₄	—	2	2	no	—
589	C₇×C₂²⋊C₄	—	2	2	no	—
590	C₇×C₂²⋊C₄	—	2	2	no	—
591	C₇×C₂²⋊C₄	—	2	2	no	—
592	C₇×C₂²⋊C₄	—	2	2	no	—
593	C₇×C₂²⋊C₄	—	2	2	no	—
594	C₇×C₂²⋊C₄	—	2	2	no	—
595	C₇×C₂²⋊C₄	—	2	2	no	—
596	C₇×C₂²⋊C₄	—	2	2	no	—
597	C₇×C₂²⋊C₄	—	2	2	no	—
598	C₇×C₂²⋊C₄	—	2	2	no	—
599	C₇×C₂²⋊C₄	—	2	2	no	—
600	C₇×C₂²⋊C₄	—	2	2	no	—
601	C₇×C₂²⋊C₄	—	2	2	no	—
602	C₇×C₂²⋊C₄	—	2	2	no	—
603	C₇×C₂²⋊C₄	—	2	2	no	—
604	C₇×C₂²⋊C₄	—	2	2	no	—
605	C₇×C₂²⋊C₄	—	2	2	no	—
606	C₇×C₂²⋊C₄	—	2	2	no	—
607	C₇×C₂²⋊C₄	—	2	2	no	—
608	C₇×C₂²⋊C₄	—	2	2	no	—
609	C₇×C₂²⋊C₄	—	2	2	no	—
610	C₇×C₂²⋊C₄	—	2	2	no	—
611	C₇×C₂²⋊C₄	—	2	2	no	—
612	C₇×C₂²⋊C₄	—	2	2	no	—
613	C₇×C₂²⋊C₄	—	2	2	no	—
614	C₇×C₂²⋊C₄	—	2	2	no	—
615	C₇×C₂²⋊C₄	—	4	1	no	—
616	C₇×C₂²⋊C₄	—	4	1	no	—
617	C₇×C₂²⋊C₄	—	4	1	no	—
618	C₇×C₂²⋊C₄	—	4	1	no	—
619	C₇×C₂²⋊C₄	—	4	1	no	—
620	C₇×C₂²⋊C₄	—	4	1	no	—
621	C₇×C₂²⋊C₄	—	4	1	no	—
622	C₇×C₂²⋊C₄	—	4	1	no	—
623	C₇×C₂²⋊C₄	—	4	1	no	—
624	C₇×C₂²⋊C₄	—	4	1	no	—
625	C₇×C₂²⋊C₄	—	4	1	no	—
626	C₇×C₂²⋊C₄	C₂×D₄	1	4	yes	—
627	C₇×C₂²⋊C₄	C₂×D₄	1	4	yes	—
628	C₇×C₂²⋊C₄	#41	1	4	yes	—
629	C₄²×C₇	—	2	2	no	—
630	C₄²×C₇	—	2	2	no	—
631	C₄²×C₇	—	2	2	no	—
632	C₄²×C₇	—	2	2	no	—
633	C₄²×C₇	—	2	2	no	—
634	C₄²×C₇	—	2	2	no	—
635	C₄²×C₇	—	2	2	no	—
636	C₄²×C₇	—	2	2	no	—
637	C₄²×C₇	—	2	2	no	—
638	C₄²×C₇	—	2	2	no	—
639	C₄²×C₇	—	2	2	no	—
640	C₄²×C₇	—	2	2	no	—
641	C₄²×C₇	—	4	1	no	—
642	C₄²×C₇	—	4	1	no	—
643	C₄²×C₇	C₂×D₄	1	4	yes	—
644	C₂³×D₄	C₂²×C₇	1	1	yes	characteristic
645	C₂⁴×C₄	C₂²×C₇	1	1	yes	characteristic
646	C₂⁴×C₄	C₂²×C₇	1	1	yes	characteristic
647	#529	—	2	8	no	—
648	C₂×#126	C₂²×C₇	1	1	yes	characteristic, complemented
649	C₂×#126	C₂²×C₇	1	1	yes	characteristic, complemented
650	C₂×#125	C₂²×C₇	1	1	yes	characteristic, complemented
651	C₂×#124	C₂²×C₇	1	1	yes	characteristic, complemented
652	C₂×#123	C₂²×C₇	1	1	yes	characteristic
653	C₂×#123	C₂²×C₇	1	1	yes	characteristic
654	C₂×#123	C₂²×C₇	1	1	yes	characteristic, complemented
655	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
656	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
657	C₂×#121	C₂²×C₇	1	1	yes	characteristic
658	C₂×#121	C₂²×C₇	1	1	yes	characteristic
659	C₂×#120	C₂²×C₇	1	1	yes	characteristic
660	C₂×#120	C₂²×C₇	1	1	yes	characteristic
661	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
662	C₂×C₄×D₄	—	2	8	no	—
663	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
664	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
665	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
666	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
667	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
668	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
669	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
670	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
671	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
672	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
673	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
674	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
675	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
676	C₂×#117	C₂²×C₇	1	1	yes	characteristic, complemented
677	C₂×#117	C₂²×C₇	1	1	yes	characteristic, complemented
678	C₂×#117	C₂²×C₇	1	1	yes	characteristic, complemented
679	C₂²×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
680	C₂²×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
681	C₂²×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
682	C₂²×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
683	C₂²×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
684	C₂²×C₄²	C₂²×C₇	1	1	yes	characteristic
685	C₂²×C₄²	C₂²×C₇	1	1	yes	characteristic, complemented
686	C₂²×C₄²	C₂²×C₇	1	1	yes	characteristic, complemented
687	#400	C₂²×C₇	1	1	yes	characteristic, complemented
688	#400	C₂²×C₇	1	1	yes	characteristic, complemented
689	#400	C₂²×C₇	1	1	yes	characteristic, complemented
690	#399	C₂²×C₇	1	1	yes	characteristic, complemented
691	#398	C₂²×C₇	1	1	yes	characteristic, complemented
692	#398	C₂²×C₇	1	1	yes	characteristic, complemented
693	#398	C₂²×C₇	1	1	yes	characteristic, complemented
694	#397	C₂²×C₇	1	1	yes	characteristic, complemented
695	#397	C₂²×C₇	1	1	yes	characteristic, complemented
696	#397	C₂²×C₇	1	1	yes	characteristic, complemented
697	#397	C₂²×C₇	1	1	yes	characteristic, complemented
698	#397	C₂²×C₇	1	1	yes	characteristic, complemented
699	#397	C₂²×C₇	1	1	yes	characteristic, complemented
700	#397	C₂²×C₇	1	1	yes	characteristic, complemented
701	#396	C₂²×C₇	1	1	yes	characteristic, complemented
702	#396	C₂²×C₇	1	1	yes	characteristic, complemented
703	#396	C₂²×C₇	1	1	yes	characteristic, complemented
704	#396	C₂²×C₇	1	1	yes	characteristic, complemented
705	#394	C₂²×C₇	1	1	yes	characteristic
706	#394	C₂²×C₇	1	1	yes	characteristic
707	#394	C₂²×C₇	1	1	yes	characteristic
708	#394	C₂²×C₇	1	1	yes	characteristic
709	#394	C₂²×C₇	1	1	yes	characteristic
710	#394	C₂²×C₇	1	1	yes	characteristic
711	#394	C₂²×C₇	1	1	yes	characteristic, complemented
712	#394	C₂²×C₇	1	1	yes	characteristic, complemented
713	#394	C₂²×C₇	1	1	yes	characteristic, complemented
714	#394	C₂²×C₇	1	1	yes	characteristic, complemented
715	#393	C₂²×C₇	1	1	yes	characteristic, complemented
716	#393	C₂²×C₇	1	1	yes	characteristic, complemented
717	#392	C₂²×C₇	1	1	yes	characteristic
718	#392	C₂²×C₇	1	1	yes	characteristic
719	#391	C₂²×C₇	1	1	yes	characteristic, complemented
720	#390	C₂²×C₇	1	1	yes	characteristic, complemented
721	#389	C₂²×C₇	1	1	yes	characteristic, complemented
722	#389	C₂²×C₇	1	1	yes	characteristic, complemented
723	#388	C₂²×C₇	1	1	yes	characteristic, complemented
724	#388	C₂²×C₇	1	1	yes	characteristic, complemented
725	#388	C₂²×C₇	1	1	yes	characteristic, complemented
726	#388	C₂²×C₇	1	1	yes	characteristic, complemented
727	#388	C₂²×C₇	1	1	yes	characteristic, complemented
728	#388	C₂²×C₇	1	1	yes	characteristic, complemented
729	#388	C₂²×C₇	1	1	yes	characteristic, complemented
730	#388	C₂²×C₇	1	1	yes	characteristic, complemented
731	#387	C₂²×C₇	1	1	yes	characteristic, complemented
732	#387	C₂²×C₇	1	1	yes	characteristic, complemented
733	#387	C₂²×C₇	1	1	yes	characteristic, complemented
734	#387	C₂²×C₇	1	1	yes	characteristic, complemented
735	#387	C₂²×C₇	1	1	yes	characteristic, complemented
736	#387	C₂²×C₇	1	1	yes	characteristic, complemented
737	#387	C₂²×C₇	1	1	yes	characteristic, complemented
738	#387	C₂²×C₇	1	1	yes	characteristic, complemented
739	#386	C₂²×C₇	1	1	yes	characteristic
740	#386	C₂²×C₇	1	1	yes	characteristic
741	#386	C₂²×C₇	1	1	yes	characteristic
742	#386	C₂²×C₇	1	1	yes	characteristic
743	#386	C₂²×C₇	1	1	yes	characteristic
744	#386	C₂²×C₇	1	1	yes	characteristic
745	#386	C₂²×C₇	1	1	yes	characteristic
746	#386	C₂²×C₇	1	1	yes	characteristic
747	#386	C₂²×C₇	1	1	yes	characteristic, complemented
748	#386	C₂²×C₇	1	1	yes	characteristic, complemented
749	#386	C₂²×C₇	1	1	yes	characteristic, complemented
750	#386	C₂²×C₇	1	1	yes	characteristic, complemented
751	#386	C₂²×C₇	1	1	yes	characteristic, complemented
752	#385	C₂²×C₇	1	1	yes	characteristic
753	#385	C₂²×C₇	1	1	yes	characteristic
754	#385	C₂²×C₇	1	1	yes	characteristic
755	#385	C₂²×C₇	1	1	yes	characteristic
756	#385	C₂²×C₇	1	1	yes	characteristic
757	#385	C₂²×C₇	1	1	yes	characteristic
758	#385	C₂²×C₇	1	1	yes	characteristic, complemented
759	#385	C₂²×C₇	1	1	yes	characteristic, complemented
760	#385	C₂²×C₇	1	1	yes	characteristic, complemented
761	#385	C₂²×C₇	1	1	yes	characteristic, complemented
762	#385	C₂²×C₇	1	1	yes	characteristic, complemented
763	#385	C₂²×C₇	1	1	yes	characteristic, complemented
764	#385	C₂²×C₇	1	1	yes	characteristic, complemented
765	#381	C₂²×C₇	1	1	yes	characteristic, complemented
766	#381	C₂²×C₇	1	1	yes	characteristic, complemented
767	#381	C₂²×C₇	1	1	yes	characteristic, complemented
768	#380	C₂²×C₇	1	1	yes	characteristic
769	#380	C₂²×C₇	1	1	yes	characteristic
770	#380	C₂²×C₇	1	1	yes	characteristic
771	#380	C₂²×C₇	1	1	yes	characteristic, complemented
772	#380	C₂²×C₇	1	1	yes	characteristic, complemented
773	#380	C₂²×C₇	1	1	yes	characteristic, complemented
774	#379	C₂²×C₇	1	1	yes	characteristic
775	#379	C₂²×C₇	1	1	yes	characteristic
776	#379	C₂²×C₇	1	1	yes	characteristic
777	#379	C₂²×C₇	1	1	yes	characteristic
778	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
779	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
780	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
781	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
782	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
783	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
784	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
785	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
786	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
787	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
788	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
789	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
790	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
791	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
792	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
793	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
794	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
795	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
796	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
797	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
798	#376	C₂²×C₇	1	1	yes	characteristic, complemented
799	C₂×#95	C₂²×C₇	1	1	yes	characteristic, complemented
800	C₂×#95	C₂²×C₇	1	1	yes	characteristic, complemented
801	C₂³×C₇	—	2	1	no	—
802	C₂³×C₇	—	2	1	no	—
803	C₂³×C₇	—	2	1	no	—
804	C₂³×C₇	—	2	1	no	—
805	C₂³×C₇	—	2	1	no	—
806	C₂³×C₇	—	2	1	no	—
807	C₂³×C₇	—	2	1	no	—
808	C₂³×C₇	—	2	1	no	—
809	C₂³×C₇	—	2	8	no	—
810	C₂³×C₇	—	2	8	no	—
811	C₂³×C₇	—	2	8	no	—
812	C₂³×C₇	—	2	1	no	—
813	C₂³×C₇	—	2	1	no	—
814	C₂³×C₇	—	2	1	no	—
815	C₂³×C₇	—	2	1	no	—
816	C₂³×C₇	—	2	1	no	—
817	C₂³×C₇	—	2	1	no	—
818	C₂³×C₇	—	2	1	no	—
819	C₂³×C₇	—	2	1	no	—
820	C₂³×C₇	—	2	1	no	—
821	C₂³×C₇	—	2	1	no	—
822	C₂³×C₇	—	2	1	no	—
823	C₂³×C₇	—	2	1	no	—
824	C₂³×C₇	—	2	1	no	—
825	C₂³×C₇	—	2	1	no	—
826	C₂³×C₇	—	2	1	no	—
827	C₂³×C₇	—	2	1	no	—
828	C₂³×C₇	—	2	1	no	—
829	C₂³×C₇	—	2	1	no	—
830	C₂³×C₇	—	2	1	no	—
831	C₂³×C₇	—	2	1	no	—
832	C₂³×C₇	—	2	1	no	—
833	C₂³×C₇	—	2	1	no	—
834	C₂³×C₇	—	2	1	no	—
835	C₂³×C₇	—	2	1	no	—
836	C₂³×C₇	—	2	1	no	—
837	C₂³×C₇	—	4	4	no	—
838	C₂³×C₇	—	4	4	no	—
839	C₂³×C₇	—	4	4	no	—
840	C₂³×C₇	—	4	4	no	—
841	C₂³×C₇	—	4	4	no	—
842	C₂³×C₇	—	4	4	no	—
843	C₂³×C₇	—	4	4	no	—
844	C₂³×C₇	—	4	4	no	—
845	C₂³×C₇	—	4	4	no	—
846	C₂³×C₇	—	4	4	no	—
847	C₂³×C₇	—	4	4	no	—
848	C₂³×C₇	C₂²×D₄	1	2	yes	—
849	C₂³×C₇	C₂²×D₄	1	2	yes	—
850	C₂³×C₇	C₂×#41	1	2	yes	—
851	C₂³×C₇	C₂×#41	1	2	yes	—
852	C₂³×C₇	C₂×#41	1	2	yes	—
853	C₂³×C₇	C₂×#41	1	2	yes	—
854	C₂³×C₇	C₂×#41	1	2	yes	—
855	C₂³×C₇	C₂×#41	1	2	yes	—
856	C₂³×C₇	C₂×#41	1	2	yes	—
857	C₂³×C₇	C₂⁵	1	1	yes	characteristic
858	C₇×Q₈	—	4	4	no	—
859	C₇×D₄	—	2	8	no	—
860	C₇×D₄	—	2	8	no	—
861	C₇×D₄	—	2	8	no	—
862	C₇×D₄	—	2	8	no	—
863	C₇×D₄	—	4	4	no	—
864	C₇×D₄	—	4	4	no	—
865	C₇×D₄	—	4	4	no	—
866	C₇×D₄	—	4	4	no	—
867	C₇×D₄	—	4	4	no	—
868	C₂×C₄×C₇	—	2	8	no	—
869	C₂×C₄×C₇	—	2	1	no	—
870	C₂×C₄×C₇	—	2	1	no	—
871	C₂×C₄×C₇	—	2	1	no	—
872	C₂×C₄×C₇	—	2	1	no	—
873	C₂×C₄×C₇	—	2	1	no	—
874	C₂×C₄×C₇	—	2	1	no	—
875	C₂×C₄×C₇	—	2	1	no	—
876	C₂×C₄×C₇	—	2	1	no	—
877	C₂×C₄×C₇	—	2	1	no	—
878	C₂×C₄×C₇	—	2	1	no	—
879	C₂×C₄×C₇	—	2	1	no	—
880	C₂×C₄×C₇	—	2	1	no	—
881	C₂×C₄×C₇	—	2	1	no	—
882	C₂×C₄×C₇	—	2	1	no	—
883	C₂×C₄×C₇	—	2	1	no	—
884	C₂×C₄×C₇	—	2	1	no	—
885	C₂×C₄×C₇	—	2	8	no	—
886	C₂×C₄×C₇	—	2	8	no	—
887	C₂×C₄×C₇	—	2	8	no	—
888	C₂×C₄×C₇	—	2	1	no	—
889	C₂×C₄×C₇	—	2	1	no	—
890	C₂×C₄×C₇	—	2	1	no	—
891	C₂×C₄×C₇	—	2	1	no	—
892	C₂×C₄×C₇	—	2	1	no	—
893	C₂×C₄×C₇	—	2	1	no	—
894	C₂×C₄×C₇	—	2	1	no	—
895	C₂×C₄×C₇	—	2	1	no	—
896	C₂×C₄×C₇	—	2	1	no	—
897	C₂×C₄×C₇	—	2	1	no	—
898	C₂×C₄×C₇	—	2	1	no	—
899	C₂×C₄×C₇	—	2	1	no	—
900	C₂×C₄×C₇	—	2	1	no	—
901	C₂×C₄×C₇	—	2	1	no	—
902	C₂×C₄×C₇	—	2	1	no	—
903	C₂×C₄×C₇	—	2	1	no	—
904	C₂×C₄×C₇	—	2	1	no	—
905	C₂×C₄×C₇	—	2	1	no	—
906	C₂×C₄×C₇	—	2	1	no	—
907	C₂×C₄×C₇	—	2	1	no	—
908	C₂×C₄×C₇	—	2	1	no	—
909	C₂×C₄×C₇	—	2	1	no	—
910	C₂×C₄×C₇	—	2	1	no	—
911	C₂×C₄×C₇	—	2	1	no	—
912	C₂×C₄×C₇	—	2	1	no	—
913	C₂×C₄×C₇	—	2	1	no	—
914	C₂×C₄×C₇	—	2	1	no	—
915	C₂×C₄×C₇	—	2	1	no	—
916	C₂×C₄×C₇	—	2	1	no	—
917	C₂×C₄×C₇	—	2	1	no	—
918	C₂×C₄×C₇	—	2	1	no	—
919	C₂×C₄×C₇	—	2	1	no	—
920	C₂×C₄×C₇	—	2	1	no	—
921	C₂×C₄×C₇	—	2	1	no	—
922	C₂×C₄×C₇	—	2	1	no	—
923	C₂×C₄×C₇	—	2	1	no	—
924	C₂×C₄×C₇	—	2	1	no	—
925	C₂×C₄×C₇	—	2	1	no	—
926	C₂×C₄×C₇	—	2	1	no	—
927	C₂×C₄×C₇	—	2	1	no	—
928	C₂×C₄×C₇	—	2	1	no	—
929	C₂×C₄×C₇	—	2	1	no	—
930	C₂×C₄×C₇	—	2	1	no	—
931	C₂×C₄×C₇	—	2	1	no	—
932	C₂×C₄×C₇	—	2	1	no	—
933	C₂×C₄×C₇	—	2	1	no	—
934	C₂×C₄×C₇	—	2	1	no	—
935	C₂×C₄×C₇	—	2	1	no	—
936	C₂×C₄×C₇	—	4	4	no	—
937	C₂×C₄×C₇	—	4	4	no	—
938	C₂×C₄×C₇	—	4	4	no	—
939	C₂×C₄×C₇	—	4	4	no	—
940	C₂×C₄×C₇	—	4	4	no	—
941	C₂×C₄×C₇	—	4	4	no	—
942	C₂×C₄×C₇	—	4	4	no	—
943	C₂×C₄×C₇	—	4	4	no	—
944	C₂×C₄×C₇	—	4	4	no	—
945	C₂×C₄×C₇	—	4	4	no	—
946	C₂×C₄×C₇	—	4	4	no	—
947	C₂×C₄×C₇	—	4	4	no	—
948	C₂×C₄×C₇	—	4	4	no	—
949	C₂×C₄×C₇	—	4	4	no	—
950	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
951	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
952	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
953	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
954	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
955	C₂×C₄×C₇	C₂×#41	1	2	yes	—
956	C₂×C₄×C₇	C₂×#41	1	2	yes	—
957	C₂×C₄×C₇	C₂×#41	1	2	yes	—
958	C₂×C₄×C₇	C₂×#41	1	2	yes	—
959	C₂×C₄×C₇	C₂×#41	1	2	yes	—
960	C₂×C₄×C₇	H(5,𝔽₂)	1	2	yes	—
961	C₂⁵	C₂³×C₇	1	1	yes	characteristic
962	C₂⁵	C₂³×C₇	1	1	yes	characteristic
963	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
964	C₂²×D₄	—	2	4	no	—
965	C₂²×D₄	—	2	4	no	—
966	C₂²×D₄	—	2	4	no	—
967	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
968	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
969	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
970	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
971	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
972	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
973	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
974	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
975	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
976	C₂³×C₄	—	2	4	no	—
977	C₂³×C₄	—	2	4	no	—
978	C₂³×C₄	—	2	4	no	—
979	C₂³×C₄	—	2	4	no	—
980	C₂³×C₄	—	4	2	no	—
981	C₂³×C₄	—	4	2	no	—
982	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
983	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
984	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
985	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
986	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
987	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
988	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
989	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
990	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
991	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
992	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
993	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
994	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
995	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
996	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
997	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
998	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
999	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
1000	#126	—	2	4	no	—
1001	#126	—	2	4	no	—
1002	#125	—	2	4	no	—
1003	#124	—	2	4	no	—
1004	#123	—	2	4	no	—
1005	#123	—	2	4	no	—
1006	#123	—	2	4	no	—
1007	C₂²⋊Q₈	—	2	4	no	—
1008	C₂²⋊Q₈	—	2	4	no	—
1009	#121	—	2	4	no	—
1010	#121	—	2	4	no	—
1011	#120	—	2	4	no	—
1012	#120	—	2	4	no	—
1013	C₄×Q₈	—	2	4	no	—
1014	C₄×D₄	—	2	4	no	—
1015	C₄×D₄	—	2	4	no	—
1016	C₄×D₄	—	2	4	no	—
1017	C₄×D₄	—	2	4	no	—
1018	C₄×D₄	—	2	4	no	—
1019	C₄×D₄	—	2	4	no	—
1020	C₄×D₄	—	2	4	no	—
1021	C₄×D₄	—	2	4	no	—
1022	C₄×D₄	—	2	4	no	—
1023	C₄×D₄	—	2	4	no	—
1024	C₄×D₄	—	4	2	no	—
1025	C₄×D₄	—	4	2	no	—
1026	C₄×D₄	C₇×D₄	1	8	yes	complemented
1027	#117	—	2	4	no	—
1028	#117	—	2	4	no	—
1029	#117	—	4	2	no	—
1030	C₂×C₄⋊C₄	—	2	4	no	—
1031	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1032	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1033	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1034	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1035	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1036	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1037	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1038	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1039	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1040	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1041	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1042	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1043	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1044	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1045	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1046	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1047	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1048	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1049	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1050	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1051	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1052	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1053	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1054	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1055	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1056	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1057	C₂×C₂²⋊C₄	—	2	4	no	—
1058	C₂×C₂²⋊C₄	—	2	4	no	—
1059	C₂×C₂²⋊C₄	—	2	4	no	—
1060	C₂×C₂²⋊C₄	—	2	4	no	—
1061	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1062	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1063	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1064	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1065	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1066	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1067	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1068	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1069	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1070	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1071	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1072	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1073	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1074	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1075	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1076	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1077	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1078	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1079	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1080	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1081	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1082	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1083	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1084	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1085	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1086	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1087	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1088	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1089	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1090	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1091	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1092	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1093	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1094	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1095	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1096	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1097	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1098	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1099	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1100	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1101	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1102	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1103	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1104	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1105	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1106	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1107	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1108	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1109	C₂×C₄²	—	2	4	no	—
1110	C₂×C₄²	—	2	4	no	—
1111	C₂×C₄²	—	4	2	no	—
1112	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1113	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1114	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1115	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1116	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1117	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1118	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1119	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1120	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1121	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1122	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1123	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1124	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1125	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1126	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1127	#95	C₂³×C₇	1	1	yes	characteristic
1128	#95	C₂³×C₇	1	1	yes	characteristic
1129	#95	C₂³×C₇	1	1	yes	characteristic
1130	#95	C₂³×C₇	1	1	yes	characteristic
1131	#95	C₂³×C₇	1	1	yes	characteristic
1132	#95	C₂³×C₇	1	1	yes	characteristic
1133	#95	C₂³×C₇	1	1	yes	characteristic
1134	#95	C₂³×C₇	1	1	yes	characteristic
1135	#95	C₂³×C₇	1	1	yes	characteristic
1136	#95	C₂³×C₇	1	1	yes	characteristic
1137	#95	C₂³×C₇	1	1	yes	characteristic
1138	#95	C₂³×C₇	1	1	yes	characteristic
1139	#95	C₂³×C₇	1	1	yes	characteristic
1140	#95	C₂³×C₇	1	1	yes	characteristic
1141	#95	C₂³×C₇	1	1	yes	characteristic
1142	#95	C₂³×C₇	1	1	yes	characteristic
1143	#95	C₂³×C₇	1	1	yes	characteristic
1144	#95	C₂³×C₇	1	1	yes	characteristic
1145	#95	C₂³×C₇	1	1	yes	characteristic
1146	#95	C₂³×C₇	1	1	yes	characteristic
1147	#95	C₂³×C₇	1	1	yes	characteristic
1148	#95	C₂³×C₇	1	1	yes	characteristic
1149	#95	C₂³×C₇	1	1	yes	characteristic
1150	#95	C₂³×C₇	1	1	yes	characteristic
1151	#95	C₂³×C₇	1	1	yes	characteristic
1152	#95	C₂³×C₇	1	1	yes	characteristic
1153	#95	C₂³×C₇	1	1	yes	characteristic
1154	#95	C₂³×C₇	1	1	yes	characteristic
1155	#95	C₂³×C₇	1	1	yes	characteristic
1156	#95	C₂³×C₇	1	1	yes	characteristic
1157	#95	C₂³×C₇	1	1	yes	characteristic
1158	#95	C₂³×C₇	1	1	yes	characteristic
1159	#95	C₂³×C₇	1	1	yes	characteristic
1160	#95	C₂³×C₇	1	1	yes	characteristic
1161	#95	C₂³×C₇	1	1	yes	characteristic
1162	#95	C₂³×C₇	1	1	yes	characteristic
1163	C₂²×C₇	—	2	2	no	—
1164	C₂²×C₇	—	2	2	no	—
1165	C₂²×C₇	—	2	2	no	—
1166	C₂²×C₇	—	2	2	no	—
1167	C₂²×C₇	—	2	2	no	—
1168	C₂²×C₇	—	2	2	no	—
1169	C₂²×C₇	—	2	2	no	—
1170	C₂²×C₇	—	2	2	no	—
1171	C₂²×C₇	—	2	2	no	—
1172	C₂²×C₇	—	2	2	no	—
1173	C₂²×C₇	—	2	2	no	—
1174	C₂²×C₇	—	2	2	no	—
1175	C₂²×C₇	—	2	2	no	—
1176	C₂²×C₇	—	2	2	no	—
1177	C₂²×C₇	—	2	2	no	—
1178	C₂²×C₇	—	2	2	no	—
1179	C₂²×C₇	—	2	2	no	—
1180	C₂²×C₇	—	2	2	no	—
1181	C₂²×C₇	—	2	2	no	—
1182	C₂²×C₇	—	2	2	no	—
1183	C₂²×C₇	—	2	2	no	—
1184	C₂²×C₇	—	4	16	no	—
1185	C₂²×C₇	—	4	16	no	—
1186	C₂²×C₇	—	4	1	no	—
1187	C₂²×C₇	—	4	1	no	—
1188	C₂²×C₇	—	4	1	no	—
1189	C₂²×C₇	—	4	1	no	—
1190	C₂²×C₇	—	4	1	no	—
1191	C₂²×C₇	—	4	1	no	—
1192	C₂²×C₇	—	4	1	no	—
1193	C₂²×C₇	—	4	1	no	—
1194	C₂²×C₇	—	4	1	no	—
1195	C₂²×C₇	—	4	1	no	—
1196	C₂²×C₇	—	4	1	no	—
1197	C₂²×C₇	—	4	1	no	—
1198	C₂²×C₇	—	4	1	no	—
1199	C₂²×C₇	—	4	1	no	—
1200	C₂²×C₇	—	4	1	no	—
1201	C₂²×C₇	—	4	1	no	—
1202	C₂²×C₇	—	4	1	no	—
1203	C₂²×C₇	—	4	1	no	—
1204	C₂²×C₇	—	4	1	no	—
1205	C₂²×C₇	#525	1	4	yes	—
1206	C₂²×C₇	#529	1	4	yes	complemented
1207	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1208	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
1209	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
1210	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
1211	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
1212	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1213	C₂²×C₇	#585	1	1	yes	characteristic
1214	C₄×C₇	—	2	2	no	—
1215	C₄×C₇	—	2	2	no	—
1216	C₄×C₇	—	2	2	no	—
1217	C₄×C₇	—	2	2	no	—
1218	C₄×C₇	—	2	2	no	—
1219	C₄×C₇	—	2	2	no	—
1220	C₄×C₇	—	2	2	no	—
1221	C₄×C₇	—	2	2	no	—
1222	C₄×C₇	—	4	1	no	—
1223	C₄×C₇	—	4	1	no	—
1224	C₄×C₇	—	4	1	no	—
1225	C₄×C₇	—	4	1	no	—
1226	C₄×C₇	—	4	1	no	—
1227	C₄×C₇	—	4	1	no	—
1228	C₄×C₇	—	4	1	no	—
1229	C₄×C₇	—	4	1	no	—
1230	C₄×C₇	—	4	1	no	—
1231	C₄×C₇	—	4	1	no	—
1232	C₄×C₇	—	4	1	no	—
1233	C₄×C₇	—	4	1	no	—
1234	C₄×C₇	—	4	1	no	—
1235	C₄×C₇	—	4	1	no	—
1236	C₄×C₇	—	4	1	no	—
1237	C₄×C₇	—	4	1	no	—
1238	C₄×C₇	#546	1	4	yes	—
1239	C₂⁴	—	2	2	no	—
1240	C₂⁴	—	2	2	no	—
1241	C₂⁴	—	2	2	no	—
1242	C₂⁴	—	2	2	no	—
1243	C₂⁴	—	2	2	no	—
1244	C₂⁴	—	2	2	no	—
1245	C₂⁴	—	2	2	no	—
1246	C₂⁴	—	2	2	no	—
1247	C₂⁴	—	2	2	no	—
1248	C₂⁴	—	4	1	no	—
1249	C₂⁴	—	4	1	no	—
1250	C₂⁴	—	4	1	no	—
1251	C₂⁴	—	4	1	no	—
1252	C₂⁴	C₇×#41	1	4	yes	—
1253	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1254	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1255	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1256	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1257	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1258	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1259	C₂×Q₈	—	2	2	no	—
1260	C₂×Q₈	—	2	2	no	—
1261	C₂×Q₈	—	4	1	no	—
1262	C₂×D₄	—	2	32	no	—
1263	C₂×D₄	—	2	2	no	—
1264	C₂×D₄	—	2	2	no	—
1265	C₂×D₄	—	2	2	no	—
1266	C₂×D₄	—	2	2	no	—
1267	C₂×D₄	—	2	2	no	—
1268	C₂×D₄	—	2	2	no	—
1269	C₂×D₄	—	2	2	no	—
1270	C₂×D₄	—	2	2	no	—
1271	C₂×D₄	—	2	2	no	—
1272	C₂×D₄	—	2	2	no	—
1273	C₂×D₄	—	2	2	no	—
1274	C₂×D₄	—	2	2	no	—
1275	C₂×D₄	—	2	2	no	—
1276	C₂×D₄	—	2	2	no	—
1277	C₂×D₄	—	2	2	no	—
1278	C₂×D₄	—	2	2	no	—
1279	C₂×D₄	—	2	2	no	—
1280	C₂×D₄	—	2	2	no	—
1281	C₂×D₄	—	2	2	no	—
1282	C₂×D₄	—	2	2	no	—
1283	C₂×D₄	—	2	2	no	—
1284	C₂×D₄	—	4	1	no	—
1285	C₂×D₄	—	4	1	no	—
1286	C₂×D₄	—	4	1	no	—
1287	C₂×D₄	—	4	1	no	—
1288	C₂×D₄	C₂×C₇×D₄	1	4	yes	—
1289	C₂×D₄	C₇×#41	1	4	yes	—
1290	C₂²×C₄	—	2	2	no	—
1291	C₂²×C₄	—	2	2	no	—
1292	C₂²×C₄	—	2	2	no	—
1293	C₂²×C₄	—	2	2	no	—
1294	C₂²×C₄	—	2	2	no	—
1295	C₂²×C₄	—	2	2	no	—
1296	C₂²×C₄	—	2	2	no	—
1297	C₂²×C₄	—	2	2	no	—
1298	C₂²×C₄	—	2	2	no	—
1299	C₂²×C₄	—	2	2	no	—
1300	C₂²×C₄	—	2	2	no	—
1301	C₂²×C₄	—	2	2	no	—
1302	C₂²×C₄	—	2	2	no	—
1303	C₂²×C₄	—	2	2	no	—
1304	C₂²×C₄	—	2	2	no	—
1305	C₂²×C₄	—	2	2	no	—
1306	C₂²×C₄	—	2	2	no	—
1307	C₂²×C₄	—	2	2	no	—
1308	C₂²×C₄	—	2	2	no	—
1309	C₂²×C₄	—	2	2	no	—
1310	C₂²×C₄	—	2	2	no	—
1311	C₂²×C₄	—	2	2	no	—
1312	C₂²×C₄	—	2	2	no	—
1313	C₂²×C₄	—	2	2	no	—
1314	C₂²×C₄	—	2	2	no	—
1315	C₂²×C₄	—	2	2	no	—
1316	C₂²×C₄	—	2	2	no	—
1317	C₂²×C₄	—	2	2	no	—
1318	C₂²×C₄	—	2	2	no	—
1319	C₂²×C₄	—	2	2	no	—
1320	C₂²×C₄	—	2	2	no	—
1321	C₂²×C₄	—	2	2	no	—
1322	C₂²×C₄	—	2	2	no	—
1323	C₂²×C₄	—	2	2	no	—
1324	C₂²×C₄	—	2	2	no	—
1325	C₂²×C₄	—	2	2	no	—
1326	C₂²×C₄	—	2	2	no	—
1327	C₂²×C₄	—	2	2	no	—
1328	C₂²×C₄	—	2	2	no	—
1329	C₂²×C₄	—	2	2	no	—
1330	C₂²×C₄	—	4	1	no	—
1331	C₂²×C₄	—	4	1	no	—
1332	C₂²×C₄	—	4	1	no	—
1333	C₂²×C₄	—	4	1	no	—
1334	C₂²×C₄	—	4	1	no	—
1335	C₂²×C₄	—	4	1	no	—
1336	C₂²×C₄	—	4	1	no	—
1337	C₂²×C₄	—	4	1	no	—
1338	C₂²×C₄	—	4	1	no	—
1339	C₂²×C₄	—	4	1	no	—
1340	C₂²×C₄	—	4	1	no	—
1341	C₂²×C₄	—	4	16	no	—
1342	C₂²×C₄	—	4	16	no	—
1343	C₂²×C₄	C₂×C₇×D₄	1	4	yes	—
1344	C₂²×C₄	C₂×C₇×D₄	1	4	yes	—
1345	C₂²×C₄	C₇×#41	1	4	yes	—
1346	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1347	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1348	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1349	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1350	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1351	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1352	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1353	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1354	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1355	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1356	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1357	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1358	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1359	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1360	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1361	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1362	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1363	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1364	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1365	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1366	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1367	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1368	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1369	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1370	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1371	C₄⋊C₄	—	2	2	no	—
1372	C₄⋊C₄	—	2	2	no	—
1373	C₄⋊C₄	—	2	2	no	—
1374	C₄⋊C₄	—	2	2	no	—
1375	C₄⋊C₄	—	2	2	no	—
1376	C₄⋊C₄	—	2	2	no	—
1377	C₄⋊C₄	—	2	2	no	—
1378	C₄⋊C₄	—	2	2	no	—
1379	C₄⋊C₄	—	2	2	no	—
1380	C₄⋊C₄	—	2	2	no	—
1381	C₄⋊C₄	—	2	2	no	—
1382	C₄⋊C₄	—	2	2	no	—
1383	C₄⋊C₄	—	2	2	no	—
1384	C₄⋊C₄	—	2	2	no	—
1385	C₄⋊C₄	—	2	2	no	—
1386	C₄⋊C₄	—	2	2	no	—
1387	C₄⋊C₄	—	2	2	no	—
1388	C₄⋊C₄	—	2	2	no	—
1389	C₄⋊C₄	—	2	2	no	—
1390	C₄⋊C₄	—	4	1	no	—
1391	C₄⋊C₄	—	4	1	no	—
1392	C₄⋊C₄	—	4	1	no	—
1393	C₄⋊C₄	—	4	1	no	—
1394	C₄⋊C₄	—	4	1	no	—
1395	C₄⋊C₄	—	4	1	no	—
1396	C₄⋊C₄	C₂×C₇×D₄	1	4	yes	—
1397	C₂²⋊C₄	—	2	2	no	—
1398	C₂²⋊C₄	—	2	2	no	—
1399	C₂²⋊C₄	—	2	2	no	—
1400	C₂²⋊C₄	—	2	2	no	—
1401	C₂²⋊C₄	—	2	2	no	—
1402	C₂²⋊C₄	—	2	2	no	—
1403	C₂²⋊C₄	—	2	2	no	—
1404	C₂²⋊C₄	—	2	2	no	—
1405	C₂²⋊C₄	—	2	2	no	—
1406	C₂²⋊C₄	—	2	2	no	—
1407	C₂²⋊C₄	—	2	2	no	—
1408	C₂²⋊C₄	—	2	2	no	—
1409	C₂²⋊C₄	—	2	2	no	—
1410	C₂²⋊C₄	—	2	2	no	—
1411	C₂²⋊C₄	—	2	2	no	—
1412	C₂²⋊C₄	—	2	2	no	—
1413	C₂²⋊C₄	—	2	2	no	—
1414	C₂²⋊C₄	—	2	2	no	—
1415	C₂²⋊C₄	—	2	2	no	—
1416	C₂²⋊C₄	—	2	2	no	—
1417	C₂²⋊C₄	—	2	2	no	—
1418	C₂²⋊C₄	—	2	2	no	—
1419	C₂²⋊C₄	—	2	2	no	—
1420	C₂²⋊C₄	—	2	2	no	—
1421	C₂²⋊C₄	—	2	2	no	—
1422	C₂²⋊C₄	—	2	2	no	—
1423	C₂²⋊C₄	—	2	2	no	—
1424	C₂²⋊C₄	—	2	2	no	—
1425	C₂²⋊C₄	—	2	2	no	—
1426	C₂²⋊C₄	—	2	2	no	—
1427	C₂²⋊C₄	—	2	2	no	—
1428	C₂²⋊C₄	—	2	2	no	—
1429	C₂²⋊C₄	—	2	2	no	—
1430	C₂²⋊C₄	—	2	2	no	—
1431	C₂²⋊C₄	—	4	1	no	—
1432	C₂²⋊C₄	—	4	1	no	—
1433	C₂²⋊C₄	—	4	1	no	—
1434	C₂²⋊C₄	—	4	1	no	—
1435	C₂²⋊C₄	—	4	1	no	—
1436	C₂²⋊C₄	—	4	1	no	—
1437	C₂²⋊C₄	—	4	1	no	—
1438	C₂²⋊C₄	—	4	1	no	—
1439	C₂²⋊C₄	—	4	1	no	—
1440	C₂²⋊C₄	—	4	1	no	—
1441	C₂²⋊C₄	—	4	1	no	—
1442	C₂²⋊C₄	C₂×C₇×D₄	1	4	yes	—
1443	C₂²⋊C₄	C₂×C₇×D₄	1	4	yes	—
1444	C₂²⋊C₄	C₇×#41	1	4	yes	—
1445	C₄²	—	2	2	no	—
1446	C₄²	—	2	2	no	—
1447	C₄²	—	2	2	no	—
1448	C₄²	—	2	2	no	—
1449	C₄²	—	2	2	no	—
1450	C₄²	—	2	2	no	—
1451	C₄²	—	2	2	no	—
1452	C₄²	—	2	2	no	—
1453	C₄²	—	2	2	no	—
1454	C₄²	—	2	2	no	—
1455	C₄²	—	2	2	no	—
1456	C₄²	—	2	2	no	—
1457	C₄²	—	4	1	no	—
1458	C₄²	—	4	1	no	—
1459	C₄²	C₂×C₇×D₄	1	4	yes	—
1460	C₂×C₇	—	2	4	no	—
1461	C₂×C₇	—	2	4	no	—
1462	C₂×C₇	—	4	2	no	—
1463	C₂×C₇	—	4	2	no	—
1464	C₂×C₇	—	4	2	no	—
1465	C₂×C₇	—	8	1	no	—
1466	C₂×C₇	C₂×#525	1	1	yes	characteristic
1467	C₂×C₇	C₂×#529	1	1	yes	characteristic
1468	C₂×C₇	#3459	1	1	yes	characteristic
1469	C₂×C₇	C₂×#546	1	1	yes	characteristic
1470	C₂×C₇	D₄×#41	1	1	yes	characteristic
1471	C₂×C₇	#3475	1	1	yes	characteristic
1472	C₂×C₇	#3481	1	1	yes	characteristic
1473	C₂³	—	2	1	no	—
1474	C₂³	—	2	1	no	—
1475	C₂³	—	2	1	no	—
1476	C₂³	—	2	1	no	—
1477	C₂³	—	2	1	no	—
1478	C₂³	—	2	1	no	—
1479	C₂³	—	2	1	no	—
1480	C₂³	—	2	1	no	—
1481	C₂³	—	2	8	no	—
1482	C₂³	—	2	1	no	—
1483	C₂³	—	2	1	no	—
1484	C₂³	—	2	1	no	—
1485	C₂³	—	2	1	no	—
1486	C₂³	—	2	1	no	—
1487	C₂³	—	2	1	no	—
1488	C₂³	—	2	1	no	—
1489	C₂³	—	2	1	no	—
1490	C₂³	—	2	1	no	—
1491	C₂³	—	2	1	no	—
1492	C₂³	—	2	1	no	—
1493	C₂³	—	2	1	no	—
1494	C₂³	—	2	1	no	—
1495	C₂³	—	2	1	no	—
1496	C₂³	—	2	1	no	—
1497	C₂³	—	2	1	no	—
1498	C₂³	—	2	1	no	—
1499	C₂³	—	2	1	no	—
1500	C₂³	—	2	8	no	—
1501	C₂³	—	2	8	no	—
1502	C₂³	—	2	1	no	—
1503	C₂³	—	2	1	no	—
1504	C₂³	—	2	1	no	—
1505	C₂³	—	2	1	no	—
1506	C₂³	—	2	1	no	—
1507	C₂³	—	2	1	no	—
1508	C₂³	—	2	1	no	—
1509	C₂³	—	4	4	no	—
1510	C₂³	—	4	4	no	—
1511	C₂³	—	4	4	no	—
1512	C₂³	—	4	4	no	—
1513	C₂³	—	4	4	no	—
1514	C₂³	—	4	4	no	—
1515	C₂³	—	4	4	no	—
1516	C₂³	—	4	4	no	—
1517	C₂³	—	4	4	no	—
1518	C₂³	—	4	4	no	—
1519	C₂³	—	4	4	no	—
1520	C₂³	C₂²×C₇×D₄	1	2	yes	—
1521	C₂³	C₂²×C₇×D₄	1	2	yes	—
1522	C₂³	C₂×C₇×#41	1	2	yes	—
1523	C₂³	C₂×C₇×#41	1	2	yes	—
1524	C₂³	C₂×C₇×#41	1	2	yes	—
1525	C₂³	C₂×C₇×#41	1	2	yes	—
1526	C₂³	C₂×C₇×#41	1	2	yes	—
1527	C₂³	C₂×C₇×#41	1	2	yes	—
1528	C₂³	C₂×C₇×#41	1	2	yes	—
1529	C₂³	C₂⁵×C₇	1	1	yes	characteristic
1530	Q₈	—	4	4	no	—
1531	D₄	—	2	8	no	—
1532	D₄	—	2	8	no	—
1533	D₄	—	2	8	no	—
1534	D₄	—	2	8	no	—
1535	D₄	—	4	4	no	—
1536	D₄	—	4	4	no	—
1537	D₄	—	4	4	no	—
1538	D₄	—	4	4	no	—
1539	D₄	—	4	4	no	—
1540	C₂×C₄	—	2	8	no	—
1541	C₂×C₄	—	2	1	no	—
1542	C₂×C₄	—	2	1	no	—
1543	C₂×C₄	—	2	1	no	—
1544	C₂×C₄	—	2	1	no	—
1545	C₂×C₄	—	2	1	no	—
1546	C₂×C₄	—	2	1	no	—
1547	C₂×C₄	—	2	1	no	—
1548	C₂×C₄	—	2	1	no	—
1549	C₂×C₄	—	2	1	no	—
1550	C₂×C₄	—	2	1	no	—
1551	C₂×C₄	—	2	1	no	—
1552	C₂×C₄	—	2	1	no	—
1553	C₂×C₄	—	2	1	no	—
1554	C₂×C₄	—	2	1	no	—
1555	C₂×C₄	—	2	1	no	—
1556	C₂×C₄	—	2	1	no	—
1557	C₂×C₄	—	2	8	no	—
1558	C₂×C₄	—	2	8	no	—
1559	C₂×C₄	—	2	8	no	—
1560	C₂×C₄	—	2	1	no	—
1561	C₂×C₄	—	2	1	no	—
1562	C₂×C₄	—	2	1	no	—
1563	C₂×C₄	—	2	1	no	—
1564	C₂×C₄	—	2	1	no	—
1565	C₂×C₄	—	2	1	no	—
1566	C₂×C₄	—	2	1	no	—
1567	C₂×C₄	—	2	1	no	—
1568	C₂×C₄	—	2	1	no	—
1569	C₂×C₄	—	2	1	no	—
1570	C₂×C₄	—	2	1	no	—
1571	C₂×C₄	—	2	1	no	—
1572	C₂×C₄	—	2	1	no	—
1573	C₂×C₄	—	2	1	no	—
1574	C₂×C₄	—	2	1	no	—
1575	C₂×C₄	—	2	1	no	—
1576	C₂×C₄	—	2	1	no	—
1577	C₂×C₄	—	2	1	no	—
1578	C₂×C₄	—	2	1	no	—
1579	C₂×C₄	—	2	1	no	—
1580	C₂×C₄	—	2	1	no	—
1581	C₂×C₄	—	2	1	no	—
1582	C₂×C₄	—	2	1	no	—
1583	C₂×C₄	—	2	1	no	—
1584	C₂×C₄	—	2	1	no	—
1585	C₂×C₄	—	2	1	no	—
1586	C₂×C₄	—	2	1	no	—
1587	C₂×C₄	—	2	1	no	—
1588	C₂×C₄	—	2	1	no	—
1589	C₂×C₄	—	2	1	no	—
1590	C₂×C₄	—	2	1	no	—
1591	C₂×C₄	—	2	1	no	—
1592	C₂×C₄	—	2	1	no	—
1593	C₂×C₄	—	2	1	no	—
1594	C₂×C₄	—	2	1	no	—
1595	C₂×C₄	—	2	1	no	—
1596	C₂×C₄	—	2	1	no	—
1597	C₂×C₄	—	2	1	no	—
1598	C₂×C₄	—	2	1	no	—
1599	C₂×C₄	—	2	1	no	—
1600	C₂×C₄	—	2	1	no	—
1601	C₂×C₄	—	2	1	no	—
1602	C₂×C₄	—	2	1	no	—
1603	C₂×C₄	—	2	1	no	—
1604	C₂×C₄	—	2	1	no	—
1605	C₂×C₄	—	2	1	no	—
1606	C₂×C₄	—	2	1	no	—
1607	C₂×C₄	—	2	1	no	—
1608	C₂×C₄	—	4	4	no	—
1609	C₂×C₄	—	4	4	no	—
1610	C₂×C₄	—	4	4	no	—
1611	C₂×C₄	—	4	4	no	—
1612	C₂×C₄	—	4	4	no	—
1613	C₂×C₄	—	4	4	no	—
1614	C₂×C₄	—	4	4	no	—
1615	C₂×C₄	—	4	4	no	—
1616	C₂×C₄	—	4	4	no	—
1617	C₂×C₄	—	4	4	no	—
1618	C₂×C₄	—	4	4	no	—
1619	C₂×C₄	—	4	4	no	—
1620	C₂×C₄	—	4	4	no	—
1621	C₂×C₄	—	4	4	no	—
1622	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1623	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1624	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1625	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1626	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1627	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1628	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1629	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1630	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1631	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1632	C₂×C₄	C₇×H(5,𝔽₂)	1	2	yes	—
1633	C₇	#34670	1	1	yes	characteristic, direct product factor, Sylow
1634	C₂²	—	2	2	no	—
1635	C₂²	—	2	2	no	—
1636	C₂²	—	2	2	no	—
1637	C₂²	—	2	2	no	—
1638	C₂²	—	2	2	no	—
1639	C₂²	—	2	2	no	—
1640	C₂²	—	2	2	no	—
1641	C₂²	—	2	2	no	—
1642	C₂²	—	2	2	no	—
1643	C₂²	—	2	2	no	—
1644	C₂²	—	2	2	no	—
1645	C₂²	—	2	2	no	—
1646	C₂²	—	2	2	no	—
1647	C₂²	—	2	2	no	—
1648	C₂²	—	2	2	no	—
1649	C₂²	—	2	2	no	—
1650	C₂²	—	2	2	no	—
1651	C₂²	—	2	2	no	—
1652	C₂²	—	2	2	no	—
1653	C₂²	—	2	2	no	—
1654	C₂²	—	2	2	no	—
1655	C₂²	—	4	16	no	—
1656	C₂²	—	4	16	no	—
1657	C₂²	—	4	1	no	—
1658	C₂²	—	4	1	no	—
1659	C₂²	—	4	1	no	—
1660	C₂²	—	4	1	no	—
1661	C₂²	—	4	1	no	—
1662	C₂²	—	4	1	no	—
1663	C₂²	—	4	1	no	—
1664	C₂²	—	4	1	no	—
1665	C₂²	—	4	1	no	—
1666	C₂²	—	4	1	no	—
1667	C₂²	—	4	1	no	—
1668	C₂²	—	4	1	no	—
1669	C₂²	—	4	1	no	—
1670	C₂²	—	4	1	no	—
1671	C₂²	—	4	1	no	—
1672	C₂²	—	4	1	no	—
1673	C₂²	—	4	1	no	—
1674	C₂²	—	4	1	no	—
1675	C₂²	—	4	1	no	—
1676	C₂²	C₇×#525	1	4	yes	—
1677	C₂²	C₇×#529	1	4	yes	complemented
1678	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
1679	C₂²	C₂²×C₇×#41	1	1	yes	characteristic
1680	C₂²	C₂²×C₇×#41	1	1	yes	characteristic
1681	C₂²	C₂²×C₇×#41	1	1	yes	characteristic
1682	C₂²	C₂²×C₇×#41	1	1	yes	characteristic
1683	C₂²	C₂×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1684	C₂²	C₇×#585	1	1	yes	characteristic
1685	C₄	—	2	2	no	—
1686	C₄	—	2	2	no	—
1687	C₄	—	2	2	no	—
1688	C₄	—	2	2	no	—
1689	C₄	—	2	2	no	—
1690	C₄	—	2	2	no	—
1691	C₄	—	2	2	no	—
1692	C₄	—	2	2	no	—
1693	C₄	—	4	1	no	—
1694	C₄	—	4	1	no	—
1695	C₄	—	4	1	no	—
1696	C₄	—	4	1	no	—
1697	C₄	—	4	1	no	—
1698	C₄	—	4	1	no	—
1699	C₄	—	4	1	no	—
1700	C₄	—	4	1	no	—
1701	C₄	—	4	1	no	—
1702	C₄	—	4	1	no	—
1703	C₄	—	4	1	no	—
1704	C₄	—	4	1	no	—
1705	C₄	—	4	1	no	—
1706	C₄	—	4	1	no	—
1707	C₄	—	4	1	no	—
1708	C₄	—	4	1	no	—
1709	C₄	C₇×#546	1	4	yes	—
1710	C₂	—	2	4	no	—
1711	C₂	—	2	4	no	—
1712	C₂	—	4	2	no	—
1713	C₂	—	4	2	no	—
1714	C₂	—	4	2	no	—
1715	C₂	—	8	1	no	—
1716	C₂	C₂×C₇×#525	1	1	yes	characteristic
1717	C₂	C₂×C₇×#529	1	1	yes	characteristic
1718	C₂	C₇×#3459	1	1	yes	characteristic
1719	C₂	C₂×C₇×#546	1	1	yes	characteristic
1720	C₂	C₇×D₄×#41	1	1	yes	characteristic
1721	C₂	C₇×#3475	1	1	yes	characteristic
1722	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	C₇×#2410	C₂
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. C₂×C₇×#529	C₂	semidirect
2. C₂²×C₄×C₇×D₄	C₂	semidirect
3. C₇×#2481	C₂	semidirect
4. C₇×#2480	C₂	semidirect
5. C₇×#2473	C₂	semidirect
6. C₇×#2472	C₂	semidirect
7. C₇×#2467	C₂	semidirect
8. C₇×#2466	C₂	semidirect
9. C₇×#2460	C₂	semidirect
10. C₇×#2459	C₂	semidirect
11. C₇×#2450	C₂	semidirect
12. C₇×#2444	C₂	semidirect
13. C₇×#2437	C₂	semidirect
14. C₇×#2425	C₂	semidirect
15. C₇×#2419	C₂	semidirect
16. C₇×#2412	C₂	semidirect
18. C₇×#2405	C₂	semidirect
19. C₇×#2398	C₂	semidirect
20. C₇×#2395	C₂	semidirect
21. C₇×#2392	C₂	semidirect
22. C₇×#2392	C₂	semidirect
23. C₄×C₇×C₂²⋊Q₈	C₂	semidirect
24. C₄×C₇×#123	C₂	semidirect
25. C₄×C₇×#121	C₂	semidirect
26. C₄×C₇×#120	C₂	semidirect
27. C₄×C₇×#120	C₂	semidirect
28. C₇×#2290	C₂	semidirect
29. C₇×#2290	C₂	semidirect
30. C₇×#2280	C₂	semidirect
31. C₂×C₄×C₇×C₂²⋊C₄	C₂	semidirect
36. C₂×C₇×#126	C₂²	semidirect
37. C₂×C₇×#126	C₂²	semidirect
38. C₂×C₇×#125	C₂²	semidirect
39. C₂×C₇×#124	C₂²	semidirect
42. C₂×C₇×#123	C₂²	semidirect
44. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
49. C₂×C₄×C₇×Q₈	C₂²	semidirect
60. C₂×C₄×C₇×D₄	C₂²	semidirect
61. C₂×C₄×C₇×D₄	C₂²	semidirect
62. C₂×C₄×C₇×D₄	C₂²	semidirect
63. C₂×C₄×C₇×D₄	C₂²	semidirect
64. C₂×C₇×#117	C₂²	semidirect
65. C₂×C₇×#117	C₂²	semidirect
66. C₂×C₇×#117	C₂²	semidirect
73. C₂²×C₄²×C₇	C₂²	semidirect
74. C₂²×C₄²×C₇	C₂²	semidirect
75. C₇×#400	C₂²	semidirect
76. C₇×#400	C₂²	semidirect
77. C₇×#400	C₂²	semidirect
78. C₇×#399	C₂²	semidirect
79. C₇×#398	C₂²	semidirect
80. C₇×#398	C₂²	semidirect
81. C₇×#398	C₂²	semidirect
82. C₇×#397	C₂²	semidirect
83. C₇×#397	C₂²	semidirect
84. C₇×#397	C₂²	semidirect
85. C₇×#397	C₂²	semidirect
86. C₇×#397	C₂²	semidirect
87. C₇×#397	C₂²	semidirect
88. C₇×#397	C₂²	semidirect
89. C₇×#396	C₂²	semidirect
90. C₇×#396	C₂²	semidirect
91. C₇×#396	C₂²	semidirect
92. C₇×#396	C₂²	semidirect
99. C₇×#394	C₂²	semidirect
100. C₇×#394	C₂²	semidirect
101. C₇×#394	C₂²	semidirect
102. C₇×#394	C₂²	semidirect
103. C₇×#393	C₂²	semidirect
104. C₇×#393	C₂²	semidirect
107. C₇×#391	C₂²	semidirect
108. C₇×#390	C₂²	semidirect
109. C₇×#389	C₂²	semidirect
110. C₇×#389	C₂²	semidirect
111. C₇×#388	C₂²	semidirect
112. C₇×#388	C₂²	semidirect
113. C₇×#388	C₂²	semidirect
114. C₇×#388	C₂²	semidirect
115. C₇×#388	C₂²	semidirect
116. C₇×#388	C₂²	semidirect
117. C₇×#388	C₂²	semidirect
118. C₇×#388	C₂²	semidirect
119. C₇×#387	C₂²	semidirect
120. C₇×#387	C₂²	semidirect
121. C₇×#387	C₂²	semidirect
122. C₇×#387	C₂²	semidirect
123. C₇×#387	C₂²	semidirect
124. C₇×#387	C₂²	semidirect
125. C₇×#387	C₂²	semidirect
126. C₇×#387	C₂²	semidirect
135. C₇×#386	C₂²	semidirect
136. C₇×#386	C₂²	semidirect
137. C₇×#386	C₂²	semidirect
138. C₇×#386	C₂²	semidirect
139. C₇×#386	C₂²	semidirect
146. C₇×#385	C₂²	semidirect
147. C₇×#385	C₂²	semidirect
148. C₇×#385	C₂²	semidirect
149. C₇×#385	C₂²	semidirect
150. C₇×#385	C₂²	semidirect
151. C₇×#385	C₂²	semidirect
152. C₇×#385	C₂²	semidirect
153. C₇×#381	C₂²	semidirect
154. C₇×#381	C₂²	semidirect
155. C₇×#381	C₂²	semidirect
159. C₇×#380	C₂²	semidirect
160. C₇×#380	C₂²	semidirect
161. C₇×#380	C₂²	semidirect
166. C₄×C₇×C₄⋊C₄	C₂²	semidirect
167. C₄×C₇×C₄⋊C₄	C₂²	semidirect
168. C₄×C₇×C₄⋊C₄	C₂²	semidirect
169. C₄×C₇×C₄⋊C₄	C₂²	semidirect
175. C₄×C₇×C₂²⋊C₄	C₂²	semidirect
176. C₄×C₇×C₂²⋊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. C₄×C₇×C₂²⋊C₄	C₂²	semidirect
183. C₄×C₇×C₂²⋊C₄	C₂²	semidirect
184. C₄×C₇×C₂²⋊C₄	C₂²	semidirect
185. C₄×C₇×C₂²⋊C₄	C₂²	semidirect
186. C₇×#376	C₂²	semidirect
187. C₂×C₇×#95	C₂²	semidirect
188. C₂×C₇×#95	C₂²	semidirect
189. #34670	C₇	direct (N × H)
255. C₄×C₇×D₄	D₄	semidirect
392. C₂×#529	C₂×C₇	semidirect
393. C₂²×C₄×D₄	C₂×C₇	semidirect
394. #2481	C₂×C₇	semidirect
395. #2480	C₂×C₇	semidirect
396. #2473	C₂×C₇	semidirect
397. #2472	C₂×C₇	semidirect
398. #2467	C₂×C₇	semidirect
399. #2466	C₂×C₇	semidirect
400. #2460	C₂×C₇	semidirect
401. #2459	C₂×C₇	semidirect
402. #2450	C₂×C₇	semidirect
403. #2444	C₂×C₇	semidirect
404. #2437	C₂×C₇	semidirect
405. #2425	C₂×C₇	semidirect
406. #2419	C₂×C₇	semidirect
407. #2412	C₂×C₇	semidirect
409. #2405	C₂×C₇	semidirect
410. #2398	C₂×C₇	semidirect
411. #2395	C₂×C₇	semidirect
412. #2392	C₂×C₇	semidirect
413. #2392	C₂×C₇	semidirect
414. C₄×C₂²⋊Q₈	C₂×C₇	semidirect
415. C₄×#123	C₂×C₇	semidirect
416. C₄×#121	C₂×C₇	semidirect
417. C₄×#120	C₂×C₇	semidirect
418. C₄×#120	C₂×C₇	semidirect
419. #2290	C₂×C₇	semidirect
420. #2290	C₂×C₇	semidirect
421. #2280	C₂×C₇	semidirect
422. C₂×C₄×C₂²⋊C₄	C₂×C₇	semidirect
648. C₂×#126	C₂²×C₇	semidirect
649. C₂×#126	C₂²×C₇	semidirect
650. C₂×#125	C₂²×C₇	semidirect
651. C₂×#124	C₂²×C₇	semidirect
654. C₂×#123	C₂²×C₇	semidirect
656. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
661. C₂×C₄×Q₈	C₂²×C₇	semidirect
672. C₂×C₄×D₄	C₂²×C₇	semidirect
673. C₂×C₄×D₄	C₂²×C₇	semidirect
674. C₂×C₄×D₄	C₂²×C₇	semidirect
675. C₂×C₄×D₄	C₂²×C₇	semidirect
676. C₂×#117	C₂²×C₇	semidirect
677. C₂×#117	C₂²×C₇	semidirect
678. C₂×#117	C₂²×C₇	semidirect
685. C₂²×C₄²	C₂²×C₇	semidirect
686. C₂²×C₄²	C₂²×C₇	semidirect
687. #400	C₂²×C₇	semidirect
688. #400	C₂²×C₇	semidirect
689. #400	C₂²×C₇	semidirect
690. #399	C₂²×C₇	semidirect
691. #398	C₂²×C₇	semidirect
692. #398	C₂²×C₇	semidirect
693. #398	C₂²×C₇	semidirect
694. #397	C₂²×C₇	semidirect
695. #397	C₂²×C₇	semidirect
696. #397	C₂²×C₇	semidirect
697. #397	C₂²×C₇	semidirect
698. #397	C₂²×C₇	semidirect
699. #397	C₂²×C₇	semidirect
700. #397	C₂²×C₇	semidirect
701. #396	C₂²×C₇	semidirect
702. #396	C₂²×C₇	semidirect
703. #396	C₂²×C₇	semidirect
704. #396	C₂²×C₇	semidirect
711. #394	C₂²×C₇	semidirect
712. #394	C₂²×C₇	semidirect
713. #394	C₂²×C₇	semidirect
714. #394	C₂²×C₇	semidirect
715. #393	C₂²×C₇	semidirect
716. #393	C₂²×C₇	semidirect
719. #391	C₂²×C₇	semidirect
720. #390	C₂²×C₇	semidirect
721. #389	C₂²×C₇	semidirect
722. #389	C₂²×C₇	semidirect
723. #388	C₂²×C₇	semidirect
724. #388	C₂²×C₇	semidirect
725. #388	C₂²×C₇	semidirect
726. #388	C₂²×C₇	semidirect
727. #388	C₂²×C₇	semidirect
728. #388	C₂²×C₇	semidirect
729. #388	C₂²×C₇	semidirect
730. #388	C₂²×C₇	semidirect
731. #387	C₂²×C₇	semidirect
732. #387	C₂²×C₇	semidirect
733. #387	C₂²×C₇	semidirect
734. #387	C₂²×C₇	semidirect
735. #387	C₂²×C₇	semidirect
736. #387	C₂²×C₇	semidirect
737. #387	C₂²×C₇	semidirect
738. #387	C₂²×C₇	semidirect
747. #386	C₂²×C₇	semidirect
748. #386	C₂²×C₇	semidirect
749. #386	C₂²×C₇	semidirect
750. #386	C₂²×C₇	semidirect
751. #386	C₂²×C₇	semidirect
758. #385	C₂²×C₇	semidirect
759. #385	C₂²×C₇	semidirect
760. #385	C₂²×C₇	semidirect
761. #385	C₂²×C₇	semidirect
762. #385	C₂²×C₇	semidirect
763. #385	C₂²×C₇	semidirect
764. #385	C₂²×C₇	semidirect
765. #381	C₂²×C₇	semidirect
766. #381	C₂²×C₇	semidirect
767. #381	C₂²×C₇	semidirect
771. #380	C₂²×C₇	semidirect
772. #380	C₂²×C₇	semidirect
773. #380	C₂²×C₇	semidirect
778. C₄×C₄⋊C₄	C₂²×C₇	semidirect
779. C₄×C₄⋊C₄	C₂²×C₇	semidirect
780. C₄×C₄⋊C₄	C₂²×C₇	semidirect
781. C₄×C₄⋊C₄	C₂²×C₇	semidirect
787. C₄×C₂²⋊C₄	C₂²×C₇	semidirect
788. C₄×C₂²⋊C₄	C₂²×C₇	semidirect
789. C₄×C₂²⋊C₄	C₂²×C₇	semidirect
790. C₄×C₂²⋊C₄	C₂²×C₇	semidirect
791. C₄×C₂²⋊C₄	C₂²×C₇	semidirect
792. C₄×C₂²⋊C₄	C₂²×C₇	semidirect
793. C₄×C₂²⋊C₄	C₂²×C₇	semidirect
794. C₄×C₂²⋊C₄	C₂²×C₇	semidirect
795. C₄×C₂²⋊C₄	C₂²×C₇	semidirect
796. C₄×C₂²⋊C₄	C₂²×C₇	semidirect
797. C₄×C₂²⋊C₄	C₂²×C₇	semidirect
798. #376	C₂²×C₇	semidirect
799. C₂×#95	C₂²×C₇	semidirect
800. C₂×#95	C₂²×C₇	semidirect
1026. C₄×D₄	C₇×D₄	semidirect
1206. C₂²×C₇	#529	semidirect
1633. C₇	#34670	direct (N × H)
1677. C₂²	C₇×#529	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₇×#529	2
C₂²×C₄×C₇×D₄	2
C₇×#2481	2
C₇×#2480	2
C₇×#2473	2
C₇×#2472	2
C₇×#2467	2
C₇×#2466	2
C₇×#2460	2
C₇×#2459	2
C₇×#2450	2
C₇×#2444	2
C₇×#2437	2
C₇×#2425	2
C₇×#2419	2
C₇×#2412	2
C₇×#2410	2
C₇×#2405	2
C₇×#2398	2
C₇×#2395	2
C₇×#2392	2
C₄×C₇×C₂²⋊Q₈	2
C₄×C₇×#123	2
C₄×C₇×#121	2
C₄×C₇×#120	2
C₇×#2290	2
C₇×#2280	2
C₂×C₄×C₇×C₂²⋊C₄	2
#34670	7

Subgroups — C7×#34670 #13211886

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#34670 #13211886