Subgroups — C₇×#35009 #13212225

Order 1792.

2404 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₇×#539	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₇×#538	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#2861	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇×#2860	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇×#2854	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇×#2850	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇×#2664	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇×#2663	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇×#2662	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇×#2661	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇×#2560	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#2559	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#2558	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#2557	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#2549	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇×#2543	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇×#2539	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇×#2534	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇×#2521	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇×#2519	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇×#2488	C₂	1	1	yes	maximal, characteristic, complemented
22	C₇×#2472	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇×#2464	C₂	1	1	yes	maximal, characteristic, complemented
24	C₇×#2461	C₂	1	1	yes	maximal, characteristic, complemented
25	C₇×#2425	C₂	1	1	yes	maximal, characteristic, complemented
26	C₇×#2424	C₂	1	1	yes	maximal, characteristic, complemented
27	C₇×#2322	C₂	1	1	yes	maximal, characteristic, complemented
28	C₇×#2321	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×C₇×#121	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₇×#388	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄²×C₇×D₄	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇×#539	—	2	8	no	—
33	C₇×#538	—	2	8	no	—
34	C₂×C₇×#126	C₂²	1	1	yes	characteristic
35	C₂×C₇×#126	C₂²	1	1	yes	characteristic
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×#125	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₇×#124	C₂²	1	1	yes	characteristic
41	C₂×C₇×#124	C₂²	1	1	yes	characteristic
42	C₂×C₇×#124	C₂²	1	1	yes	characteristic
43	C₂×C₇×#123	C₂²	1	1	yes	characteristic
44	C₂×C₇×#123	C₂²	1	1	yes	characteristic
45	C₂×C₇×#123	C₂²	1	1	yes	characteristic
46	C₂×C₇×#123	C₂²	1	1	yes	characteristic
47	C₂×C₇×#123	C₂²	1	1	yes	characteristic
48	C₂×C₇×#123	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₇×#123	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
51	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
52	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
53	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
54	C₂×C₇×#121	C₂²	1	1	yes	characteristic
55	C₂×C₇×#121	C₂²	1	1	yes	characteristic
56	C₂×C₇×#121	C₂²	1	1	yes	characteristic
57	C₂×C₇×#121	C₂²	1	1	yes	characteristic
58	C₂×C₇×#121	C₂²	1	1	yes	characteristic
59	C₂×C₇×#121	C₂²	1	1	yes	characteristic
60	C₂×C₇×#120	C₂²	1	1	yes	characteristic
61	C₂×C₇×#120	C₂²	1	1	yes	characteristic
62	C₂×C₇×#120	C₂²	1	1	yes	characteristic
63	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
64	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
65	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
66	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
67	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
68	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
69	C₂²×C₇×C₄⋊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×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
73	C₂²×C₄²×C₇	C₂²	1	1	yes	characteristic
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×#399	C₂²	1	1	yes	characteristic
78	C₇×#399	C₂²	1	1	yes	characteristic
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×#398	C₂²	1	1	yes	characteristic, complemented
83	C₇×#397	C₂²	1	1	yes	characteristic
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×#396	C₂²	1	1	yes	characteristic
88	C₇×#396	C₂²	1	1	yes	characteristic
89	C₇×#396	C₂²	1	1	yes	characteristic
90	C₇×#396	C₂²	1	1	yes	characteristic, complemented
91	C₇×#395	C₂²	1	1	yes	characteristic, complemented
92	C₇×#395	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×#393	C₂²	1	1	yes	characteristic
102	C₇×#393	C₂²	1	1	yes	characteristic, complemented
103	C₇×#392	C₂²	1	1	yes	characteristic
104	C₇×#392	C₂²	1	1	yes	characteristic
105	C₇×#392	C₂²	1	1	yes	characteristic
106	C₇×#392	C₂²	1	1	yes	characteristic, complemented
107	C₇×#391	C₂²	1	1	yes	characteristic, complemented
108	C₇×#391	C₂²	1	1	yes	characteristic, complemented
109	C₇×#391	C₂²	1	1	yes	characteristic, complemented
110	C₇×#390	C₂²	1	1	yes	characteristic
111	C₇×#390	C₂²	1	1	yes	characteristic
112	C₇×#390	C₂²	1	1	yes	characteristic
113	C₇×#390	C₂²	1	1	yes	characteristic
114	C₇×#390	C₂²	1	1	yes	characteristic
115	C₇×#390	C₂²	1	1	yes	characteristic
116	C₇×#390	C₂²	1	1	yes	characteristic
117	C₇×#390	C₂²	1	1	yes	characteristic
118	C₇×#390	C₂²	1	1	yes	characteristic, complemented
119	C₇×#389	C₂²	1	1	yes	characteristic, complemented
120	C₇×#389	C₂²	1	1	yes	characteristic, complemented
121	C₇×#389	C₂²	1	1	yes	characteristic, complemented
122	C₇×#389	C₂²	1	1	yes	characteristic, complemented
123	C₇×#389	C₂²	1	1	yes	characteristic, complemented
124	C₇×#389	C₂²	1	1	yes	characteristic, complemented
125	C₇×#388	C₂²	1	1	yes	characteristic
126	C₇×#388	C₂²	1	1	yes	characteristic
127	C₇×#388	C₂²	1	1	yes	characteristic
128	C₇×#388	C₂²	1	1	yes	characteristic
129	C₇×#388	C₂²	1	1	yes	characteristic
130	C₇×#388	C₂²	1	1	yes	characteristic
131	C₇×#388	C₂²	1	1	yes	characteristic
132	C₇×#388	C₂²	1	1	yes	characteristic
133	C₇×#388	C₂²	1	1	yes	characteristic
134	C₇×#388	C₂²	1	1	yes	characteristic
135	C₇×#388	C₂²	1	1	yes	characteristic
136	C₇×#388	C₂²	1	1	yes	characteristic
137	C₇×#388	C₂²	1	1	yes	characteristic
138	C₇×#388	C₂²	1	1	yes	characteristic
139	C₇×#388	C₂²	1	1	yes	characteristic
140	C₇×#388	C₂²	1	1	yes	characteristic
141	C₇×#388	C₂²	1	1	yes	characteristic
142	C₇×#388	C₂²	1	1	yes	characteristic, complemented
143	C₇×#388	C₂²	1	1	yes	characteristic, complemented
144	C₇×#388	C₂²	1	1	yes	characteristic, complemented
145	C₇×#388	C₂²	1	1	yes	characteristic, complemented
146	C₇×#388	C₂²	1	1	yes	characteristic, complemented
147	C₇×#388	C₂²	1	1	yes	characteristic, complemented
148	C₇×#388	C₂²	1	1	yes	characteristic, complemented
149	C₇×#388	C₂²	1	1	yes	characteristic, complemented
150	C₇×#388	C₂²	1	1	yes	characteristic, complemented
151	C₇×#387	C₂²	1	1	yes	characteristic, complemented
152	C₇×#387	C₂²	1	1	yes	characteristic, complemented
153	C₇×#386	C₂²	1	1	yes	characteristic
154	C₇×#386	C₂²	1	1	yes	characteristic
155	C₇×#386	C₂²	1	1	yes	characteristic
156	C₇×#386	C₂²	1	1	yes	characteristic
157	C₇×#386	C₂²	1	1	yes	characteristic
158	C₇×#386	C₂²	1	1	yes	characteristic
159	C₇×#386	C₂²	1	1	yes	characteristic
160	C₇×#386	C₂²	1	1	yes	characteristic
161	C₇×#386	C₂²	1	1	yes	characteristic
162	C₇×#386	C₂²	1	1	yes	characteristic, complemented
163	C₇×#386	C₂²	1	1	yes	characteristic, complemented
164	C₇×#386	C₂²	1	1	yes	characteristic, complemented
165	C₇×#385	C₂²	1	1	yes	characteristic
166	C₇×#385	C₂²	1	1	yes	characteristic
167	C₇×#385	C₂²	1	1	yes	characteristic, complemented
168	C₇×#385	C₂²	1	1	yes	characteristic, complemented
169	C₇×#382	C₂²	1	1	yes	characteristic, complemented
170	C₇×#381	C₂²	1	1	yes	characteristic
171	C₇×#380	C₂²	1	1	yes	characteristic
172	C₇×#380	C₂²	1	1	yes	characteristic, complemented
173	C₇×#379	C₂²	1	1	yes	characteristic
174	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
175	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
176	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
177	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
178	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
179	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
180	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
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	C₂×C₇×#95	C₂²	1	1	yes	characteristic
187	C₂×C₇×#95	C₂²	1	1	yes	characteristic
188	C₄³×C₇	C₂²	1	1	yes	characteristic, complemented
189	#35009	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
190	C₂⁵×C₇	C₂³	1	1	yes	characteristic
191	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
192	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
193	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
194	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
195	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
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	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	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
210	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
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	C₇×#126	—	2	4	no	—
217	C₇×#126	—	2	4	no	—
218	C₇×#126	—	2	4	no	—
219	C₇×#126	—	2	4	no	—
220	C₇×#125	—	2	4	no	—
221	C₇×#125	—	2	4	no	—
222	C₇×#124	—	2	4	no	—
223	C₇×#124	—	2	4	no	—
224	C₇×#124	—	4	2	no	—
225	C₇×#123	—	2	4	no	—
226	C₇×#123	—	2	4	no	—
227	C₇×#123	—	2	4	no	—
228	C₇×#123	—	2	4	no	—
229	C₇×#123	—	2	4	no	—
230	C₇×#123	—	2	4	no	—
231	C₇×#123	—	2	4	no	—
232	C₇×C₂²⋊Q₈	—	2	4	no	—
233	C₇×C₂²⋊Q₈	—	2	4	no	—
234	C₇×C₂²⋊Q₈	—	2	4	no	—
235	C₇×C₂²⋊Q₈	—	2	4	no	—
236	C₇×#121	—	2	4	no	—
237	C₇×#121	—	2	4	no	—
238	C₇×#121	—	2	4	no	—
239	C₇×#121	—	2	4	no	—
240	C₇×#121	—	2	4	no	—
241	C₇×#121	—	4	2	no	—
242	C₇×#120	—	2	4	no	—
243	C₇×#120	—	2	4	no	—
244	C₇×#120	—	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	—	4	2	no	—
250	C₄×C₇×D₄	D₄	1	8	yes	complemented
251	C₂×C₇×C₄⋊C₄	—	2	4	no	—
252	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×C₂²⋊C₄	—	2	4	no	—
283	C₂×C₇×C₂²⋊C₄	—	2	4	no	—
284	C₂×C₇×C₂²⋊C₄	—	4	2	no	—
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×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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×C₄²×C₇	—	4	2	no	—
338	C₂×C₄²×C₇	—	4	2	no	—
339	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
340	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
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	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	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	C₂×#539	C₂×C₇	1	1	yes	characteristic, complemented
387	C₂×#538	C₂×C₇	1	1	yes	characteristic, complemented
388	#2861	C₂×C₇	1	1	yes	characteristic, complemented
389	#2860	C₂×C₇	1	1	yes	characteristic, complemented
390	#2854	C₂×C₇	1	1	yes	characteristic, complemented
391	#2850	C₂×C₇	1	1	yes	characteristic, complemented
392	#2664	C₂×C₇	1	1	yes	characteristic, complemented
393	#2663	C₂×C₇	1	1	yes	characteristic, complemented
394	#2662	C₂×C₇	1	1	yes	characteristic, complemented
395	#2661	C₂×C₇	1	1	yes	characteristic, complemented
396	#2560	C₂×C₇	1	1	yes	characteristic, complemented
397	#2559	C₂×C₇	1	1	yes	characteristic, complemented
398	#2558	C₂×C₇	1	1	yes	characteristic, complemented
399	#2557	C₂×C₇	1	1	yes	characteristic, complemented
400	#2549	C₂×C₇	1	1	yes	characteristic, complemented
401	#2543	C₂×C₇	1	1	yes	characteristic, complemented
402	#2539	C₂×C₇	1	1	yes	characteristic, complemented
403	#2534	C₂×C₇	1	1	yes	characteristic, complemented
404	#2521	C₂×C₇	1	1	yes	characteristic, complemented
405	#2519	C₂×C₇	1	1	yes	characteristic, complemented
406	#2488	C₂×C₇	1	1	yes	characteristic, complemented
407	#2472	C₂×C₇	1	1	yes	characteristic, complemented
408	#2464	C₂×C₇	1	1	yes	characteristic, complemented
409	#2461	C₂×C₇	1	1	yes	characteristic, complemented
410	#2425	C₂×C₇	1	1	yes	characteristic, complemented
411	#2424	C₂×C₇	1	1	yes	characteristic, complemented
412	#2322	C₂×C₇	1	1	yes	characteristic, complemented
413	#2321	C₂×C₇	1	1	yes	characteristic, complemented
414	C₄×#121	C₂×C₇	1	1	yes	characteristic, complemented
415	C₂×#388	C₂×C₇	1	1	yes	characteristic, complemented
416	C₄²×D₄	C₂×C₇	1	1	yes	characteristic, complemented
417	C₂⁴×C₇	—	2	2	no	—
418	C₂⁴×C₇	—	2	2	no	—
419	C₂⁴×C₇	—	2	2	no	—
420	C₂⁴×C₇	—	4	1	no	—
421	C₂⁴×C₇	—	4	1	no	—
422	C₂⁴×C₇	—	4	1	no	—
423	C₂⁴×C₇	—	4	1	no	—
424	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
425	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
426	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
427	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
428	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
429	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
430	C₂×C₇×Q₈	—	2	2	no	—
431	C₂×C₇×Q₈	—	2	2	no	—
432	C₂×C₇×Q₈	—	4	1	no	—
433	C₂×C₇×Q₈	—	4	1	no	—
434	C₂×C₇×Q₈	—	4	1	no	—
435	C₂×C₇×Q₈	—	4	1	no	—
436	C₂×C₇×D₄	—	2	2	no	—
437	C₂×C₇×D₄	—	2	2	no	—
438	C₂×C₇×D₄	—	2	2	no	—
439	C₂×C₇×D₄	—	2	2	no	—
440	C₂×C₇×D₄	—	2	2	no	—
441	C₂×C₇×D₄	—	2	2	no	—
442	C₂×C₇×D₄	—	2	2	no	—
443	C₂×C₇×D₄	—	2	2	no	—
444	C₂×C₇×D₄	—	2	2	no	—
445	C₂×C₇×D₄	—	2	2	no	—
446	C₂×C₇×D₄	—	2	2	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	—	4	1	no	—
454	C₂×C₇×D₄	—	4	1	no	—
455	C₂×C₇×D₄	—	4	1	no	—
456	C₂×C₇×D₄	—	4	1	no	—
457	C₂×C₇×D₄	—	4	1	no	—
458	C₂×C₇×D₄	—	4	1	no	—
459	C₂×C₇×D₄	—	4	1	no	—
460	C₂×C₇×D₄	—	4	1	no	—
461	C₂×C₇×D₄	—	4	1	no	—
462	C₂×C₇×D₄	—	4	1	no	—
463	C₂×C₇×D₄	—	4	1	no	—
464	C₂×C₇×D₄	—	4	1	no	—
465	C₂×C₇×D₄	—	4	1	no	—
466	C₂×C₇×D₄	—	4	1	no	—
467	C₂×C₇×D₄	—	4	1	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	C₂×D₄	1	4	yes	—
472	C₂²×C₄×C₇	—	2	2	no	—
473	C₂²×C₄×C₇	—	2	2	no	—
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	—	4	1	no	—
485	C₂²×C₄×C₇	—	4	1	no	—
486	C₂²×C₄×C₇	—	4	1	no	—
487	C₂²×C₄×C₇	—	4	1	no	—
488	C₂²×C₄×C₇	—	4	1	no	—
489	C₂²×C₄×C₇	—	4	1	no	—
490	C₂²×C₄×C₇	—	4	1	no	—
491	C₂²×C₄×C₇	—	4	1	no	—
492	C₂²×C₄×C₇	—	4	1	no	—
493	C₂²×C₄×C₇	—	4	1	no	—
494	C₂²×C₄×C₇	—	4	1	no	—
495	C₂²×C₄×C₇	—	4	1	no	—
496	C₂²×C₄×C₇	—	4	1	no	—
497	C₂²×C₄×C₇	—	4	1	no	—
498	C₂²×C₄×C₇	—	4	1	no	—
499	C₂²×C₄×C₇	—	4	1	no	—
500	C₂²×C₄×C₇	—	4	1	no	—
501	C₂²×C₄×C₇	—	4	1	no	—
502	C₂²×C₄×C₇	C₂×D₄	1	4	yes	—
503	C₂²×C₄×C₇	C₂×D₄	1	4	yes	—
504	C₂²×C₄×C₇	#41	1	4	yes	—
505	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
506	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
507	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
508	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
509	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
510	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
511	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
512	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
513	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
514	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
515	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
516	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
517	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
518	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
519	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
520	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
521	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
522	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
523	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
524	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
525	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
526	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
527	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
528	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
529	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
530	C₇×C₄⋊C₄	—	2	2	no	—
531	C₇×C₄⋊C₄	—	2	2	no	—
532	C₇×C₄⋊C₄	—	2	2	no	—
533	C₇×C₄⋊C₄	—	2	2	no	—
534	C₇×C₄⋊C₄	—	2	2	no	—
535	C₇×C₄⋊C₄	—	2	2	no	—
536	C₇×C₄⋊C₄	—	2	2	no	—
537	C₇×C₄⋊C₄	—	2	2	no	—
538	C₇×C₄⋊C₄	—	2	2	no	—
539	C₇×C₄⋊C₄	—	2	2	no	—
540	C₇×C₄⋊C₄	—	2	2	no	—
541	C₇×C₄⋊C₄	—	2	2	no	—
542	C₇×C₄⋊C₄	—	2	2	no	—
543	C₇×C₄⋊C₄	—	2	2	no	—
544	C₇×C₄⋊C₄	—	2	2	no	—
545	C₇×C₄⋊C₄	—	2	2	no	—
546	C₇×C₄⋊C₄	—	2	2	no	—
547	C₇×C₄⋊C₄	—	2	2	no	—
548	C₇×C₄⋊C₄	—	2	2	no	—
549	C₇×C₄⋊C₄	—	2	2	no	—
550	C₇×C₄⋊C₄	—	2	2	no	—
551	C₇×C₄⋊C₄	—	2	2	no	—
552	C₇×C₄⋊C₄	—	2	2	no	—
553	C₇×C₄⋊C₄	—	4	1	no	—
554	C₇×C₄⋊C₄	—	4	1	no	—
555	C₇×C₄⋊C₄	—	4	1	no	—
556	C₇×C₄⋊C₄	—	4	1	no	—
557	C₇×C₄⋊C₄	—	4	1	no	—
558	C₇×C₄⋊C₄	—	4	1	no	—
559	C₇×C₄⋊C₄	C₂×D₄	1	4	yes	—
560	C₇×C₂²⋊C₄	—	2	2	no	—
561	C₇×C₂²⋊C₄	—	2	2	no	—
562	C₇×C₂²⋊C₄	—	2	2	no	—
563	C₇×C₂²⋊C₄	—	2	2	no	—
564	C₇×C₂²⋊C₄	—	2	2	no	—
565	C₇×C₂²⋊C₄	—	2	2	no	—
566	C₇×C₂²⋊C₄	—	2	2	no	—
567	C₇×C₂²⋊C₄	—	2	2	no	—
568	C₇×C₂²⋊C₄	—	2	2	no	—
569	C₇×C₂²⋊C₄	—	2	2	no	—
570	C₇×C₂²⋊C₄	—	2	2	no	—
571	C₇×C₂²⋊C₄	—	2	2	no	—
572	C₇×C₂²⋊C₄	—	2	2	no	—
573	C₇×C₂²⋊C₄	—	2	2	no	—
574	C₇×C₂²⋊C₄	—	2	2	no	—
575	C₇×C₂²⋊C₄	—	2	2	no	—
576	C₇×C₂²⋊C₄	—	2	2	no	—
577	C₇×C₂²⋊C₄	—	2	2	no	—
578	C₇×C₂²⋊C₄	—	2	2	no	—
579	C₇×C₂²⋊C₄	—	2	2	no	—
580	C₇×C₂²⋊C₄	—	2	2	no	—
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	—	4	1	no	—
598	C₇×C₂²⋊C₄	—	4	1	no	—
599	C₇×C₂²⋊C₄	—	4	1	no	—
600	C₇×C₂²⋊C₄	—	4	1	no	—
601	C₇×C₂²⋊C₄	—	4	1	no	—
602	C₇×C₂²⋊C₄	—	4	1	no	—
603	C₇×C₂²⋊C₄	—	4	1	no	—
604	C₇×C₂²⋊C₄	—	4	1	no	—
605	C₇×C₂²⋊C₄	—	4	1	no	—
606	C₇×C₂²⋊C₄	—	4	1	no	—
607	C₇×C₂²⋊C₄	—	4	1	no	—
608	C₇×C₂²⋊C₄	—	4	1	no	—
609	C₇×C₂²⋊C₄	C₂×D₄	1	4	yes	—
610	C₇×C₂²⋊C₄	C₂×D₄	1	4	yes	—
611	C₇×C₂²⋊C₄	#41	1	4	yes	—
612	C₄²×C₇	—	2	2	no	—
613	C₄²×C₇	—	2	2	no	—
614	C₄²×C₇	—	2	2	no	—
615	C₄²×C₇	—	2	2	no	—
616	C₄²×C₇	—	2	2	no	—
617	C₄²×C₇	—	2	2	no	—
618	C₄²×C₇	—	2	2	no	—
619	C₄²×C₇	—	4	1	no	—
620	C₄²×C₇	—	4	1	no	—
621	C₄²×C₇	—	4	1	no	—
622	C₄²×C₇	—	4	1	no	—
623	C₄²×C₇	—	4	1	no	—
624	C₄²×C₇	—	4	1	no	—
625	C₄²×C₇	—	4	1	no	—
626	C₄²×C₇	C₂×D₄	1	4	yes	—
627	#539	—	2	8	no	—
628	#538	—	2	8	no	—
629	C₂×#126	C₂²×C₇	1	1	yes	characteristic
630	C₂×#126	C₂²×C₇	1	1	yes	characteristic
631	C₂×#126	C₂²×C₇	1	1	yes	characteristic, complemented
632	C₂×#126	C₂²×C₇	1	1	yes	characteristic, complemented
633	C₂×#125	C₂²×C₇	1	1	yes	characteristic, complemented
634	C₂×#125	C₂²×C₇	1	1	yes	characteristic, complemented
635	C₂×#124	C₂²×C₇	1	1	yes	characteristic
636	C₂×#124	C₂²×C₇	1	1	yes	characteristic
637	C₂×#124	C₂²×C₇	1	1	yes	characteristic
638	C₂×#123	C₂²×C₇	1	1	yes	characteristic
639	C₂×#123	C₂²×C₇	1	1	yes	characteristic
640	C₂×#123	C₂²×C₇	1	1	yes	characteristic
641	C₂×#123	C₂²×C₇	1	1	yes	characteristic
642	C₂×#123	C₂²×C₇	1	1	yes	characteristic
643	C₂×#123	C₂²×C₇	1	1	yes	characteristic, complemented
644	C₂×#123	C₂²×C₇	1	1	yes	characteristic, complemented
645	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
646	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
647	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
648	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
649	C₂×#121	C₂²×C₇	1	1	yes	characteristic
650	C₂×#121	C₂²×C₇	1	1	yes	characteristic
651	C₂×#121	C₂²×C₇	1	1	yes	characteristic
652	C₂×#121	C₂²×C₇	1	1	yes	characteristic
653	C₂×#121	C₂²×C₇	1	1	yes	characteristic
654	C₂×#121	C₂²×C₇	1	1	yes	characteristic
655	C₂×#120	C₂²×C₇	1	1	yes	characteristic
656	C₂×#120	C₂²×C₇	1	1	yes	characteristic
657	C₂×#120	C₂²×C₇	1	1	yes	characteristic
658	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
659	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
660	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
661	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
662	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
663	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
664	C₂²×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
665	C₂²×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
666	C₂²×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
667	C₂²×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
668	C₂²×C₄²	C₂²×C₇	1	1	yes	characteristic
669	C₂²×C₄²	C₂²×C₇	1	1	yes	characteristic, complemented
670	#400	C₂²×C₇	1	1	yes	characteristic, complemented
671	#400	C₂²×C₇	1	1	yes	characteristic, complemented
672	#399	C₂²×C₇	1	1	yes	characteristic
673	#399	C₂²×C₇	1	1	yes	characteristic
674	#398	C₂²×C₇	1	1	yes	characteristic, complemented
675	#398	C₂²×C₇	1	1	yes	characteristic, complemented
676	#398	C₂²×C₇	1	1	yes	characteristic, complemented
677	#398	C₂²×C₇	1	1	yes	characteristic, complemented
678	#397	C₂²×C₇	1	1	yes	characteristic
679	#397	C₂²×C₇	1	1	yes	characteristic, complemented
680	#397	C₂²×C₇	1	1	yes	characteristic, complemented
681	#397	C₂²×C₇	1	1	yes	characteristic, complemented
682	#396	C₂²×C₇	1	1	yes	characteristic
683	#396	C₂²×C₇	1	1	yes	characteristic
684	#396	C₂²×C₇	1	1	yes	characteristic
685	#396	C₂²×C₇	1	1	yes	characteristic, complemented
686	#395	C₂²×C₇	1	1	yes	characteristic, complemented
687	#395	C₂²×C₇	1	1	yes	characteristic, complemented
688	#394	C₂²×C₇	1	1	yes	characteristic
689	#394	C₂²×C₇	1	1	yes	characteristic
690	#394	C₂²×C₇	1	1	yes	characteristic
691	#394	C₂²×C₇	1	1	yes	characteristic
692	#394	C₂²×C₇	1	1	yes	characteristic
693	#394	C₂²×C₇	1	1	yes	characteristic
694	#394	C₂²×C₇	1	1	yes	characteristic, complemented
695	#394	C₂²×C₇	1	1	yes	characteristic, complemented
696	#393	C₂²×C₇	1	1	yes	characteristic
697	#393	C₂²×C₇	1	1	yes	characteristic, complemented
698	#392	C₂²×C₇	1	1	yes	characteristic
699	#392	C₂²×C₇	1	1	yes	characteristic
700	#392	C₂²×C₇	1	1	yes	characteristic
701	#392	C₂²×C₇	1	1	yes	characteristic, complemented
702	#391	C₂²×C₇	1	1	yes	characteristic, complemented
703	#391	C₂²×C₇	1	1	yes	characteristic, complemented
704	#391	C₂²×C₇	1	1	yes	characteristic, complemented
705	#390	C₂²×C₇	1	1	yes	characteristic
706	#390	C₂²×C₇	1	1	yes	characteristic
707	#390	C₂²×C₇	1	1	yes	characteristic
708	#390	C₂²×C₇	1	1	yes	characteristic
709	#390	C₂²×C₇	1	1	yes	characteristic
710	#390	C₂²×C₇	1	1	yes	characteristic
711	#390	C₂²×C₇	1	1	yes	characteristic
712	#390	C₂²×C₇	1	1	yes	characteristic
713	#390	C₂²×C₇	1	1	yes	characteristic, complemented
714	#389	C₂²×C₇	1	1	yes	characteristic, complemented
715	#389	C₂²×C₇	1	1	yes	characteristic, complemented
716	#389	C₂²×C₇	1	1	yes	characteristic, complemented
717	#389	C₂²×C₇	1	1	yes	characteristic, complemented
718	#389	C₂²×C₇	1	1	yes	characteristic, complemented
719	#389	C₂²×C₇	1	1	yes	characteristic, complemented
720	#388	C₂²×C₇	1	1	yes	characteristic
721	#388	C₂²×C₇	1	1	yes	characteristic
722	#388	C₂²×C₇	1	1	yes	characteristic
723	#388	C₂²×C₇	1	1	yes	characteristic
724	#388	C₂²×C₇	1	1	yes	characteristic
725	#388	C₂²×C₇	1	1	yes	characteristic
726	#388	C₂²×C₇	1	1	yes	characteristic
727	#388	C₂²×C₇	1	1	yes	characteristic
728	#388	C₂²×C₇	1	1	yes	characteristic
729	#388	C₂²×C₇	1	1	yes	characteristic
730	#388	C₂²×C₇	1	1	yes	characteristic
731	#388	C₂²×C₇	1	1	yes	characteristic
732	#388	C₂²×C₇	1	1	yes	characteristic
733	#388	C₂²×C₇	1	1	yes	characteristic
734	#388	C₂²×C₇	1	1	yes	characteristic
735	#388	C₂²×C₇	1	1	yes	characteristic
736	#388	C₂²×C₇	1	1	yes	characteristic
737	#388	C₂²×C₇	1	1	yes	characteristic, complemented
738	#388	C₂²×C₇	1	1	yes	characteristic, complemented
739	#388	C₂²×C₇	1	1	yes	characteristic, complemented
740	#388	C₂²×C₇	1	1	yes	characteristic, complemented
741	#388	C₂²×C₇	1	1	yes	characteristic, complemented
742	#388	C₂²×C₇	1	1	yes	characteristic, complemented
743	#388	C₂²×C₇	1	1	yes	characteristic, complemented
744	#388	C₂²×C₇	1	1	yes	characteristic, complemented
745	#388	C₂²×C₇	1	1	yes	characteristic, complemented
746	#387	C₂²×C₇	1	1	yes	characteristic, complemented
747	#387	C₂²×C₇	1	1	yes	characteristic, complemented
748	#386	C₂²×C₇	1	1	yes	characteristic
749	#386	C₂²×C₇	1	1	yes	characteristic
750	#386	C₂²×C₇	1	1	yes	characteristic
751	#386	C₂²×C₇	1	1	yes	characteristic
752	#386	C₂²×C₇	1	1	yes	characteristic
753	#386	C₂²×C₇	1	1	yes	characteristic
754	#386	C₂²×C₇	1	1	yes	characteristic
755	#386	C₂²×C₇	1	1	yes	characteristic
756	#386	C₂²×C₇	1	1	yes	characteristic
757	#386	C₂²×C₇	1	1	yes	characteristic, complemented
758	#386	C₂²×C₇	1	1	yes	characteristic, complemented
759	#386	C₂²×C₇	1	1	yes	characteristic, complemented
760	#385	C₂²×C₇	1	1	yes	characteristic
761	#385	C₂²×C₇	1	1	yes	characteristic
762	#385	C₂²×C₇	1	1	yes	characteristic, complemented
763	#385	C₂²×C₇	1	1	yes	characteristic, complemented
764	#382	C₂²×C₇	1	1	yes	characteristic, complemented
765	#381	C₂²×C₇	1	1	yes	characteristic
766	#380	C₂²×C₇	1	1	yes	characteristic
767	#380	C₂²×C₇	1	1	yes	characteristic, complemented
768	#379	C₂²×C₇	1	1	yes	characteristic
769	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
770	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
771	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
772	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
773	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
774	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
775	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
776	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
777	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
778	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
779	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
780	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
781	C₂×#95	C₂²×C₇	1	1	yes	characteristic
782	C₂×#95	C₂²×C₇	1	1	yes	characteristic
783	C₄³	C₂²×C₇	1	1	yes	characteristic, complemented
784	C₂³×C₇	—	2	1	no	—
785	C₂³×C₇	—	2	1	no	—
786	C₂³×C₇	—	2	1	no	—
787	C₂³×C₇	—	2	1	no	—
788	C₂³×C₇	—	2	1	no	—
789	C₂³×C₇	—	2	1	no	—
790	C₂³×C₇	—	2	1	no	—
791	C₂³×C₇	—	2	1	no	—
792	C₂³×C₇	—	2	1	no	—
793	C₂³×C₇	—	2	1	no	—
794	C₂³×C₇	—	2	1	no	—
795	C₂³×C₇	—	2	1	no	—
796	C₂³×C₇	—	2	1	no	—
797	C₂³×C₇	—	2	1	no	—
798	C₂³×C₇	—	2	1	no	—
799	C₂³×C₇	—	2	1	no	—
800	C₂³×C₇	—	2	1	no	—
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	1	no	—
810	C₂³×C₇	—	2	1	no	—
811	C₂³×C₇	—	2	1	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	—	4	4	no	—
823	C₂³×C₇	—	4	4	no	—
824	C₂³×C₇	—	4	4	no	—
825	C₂³×C₇	—	8	2	no	—
826	C₂³×C₇	—	8	2	no	—
827	C₂³×C₇	—	8	2	no	—
828	C₂³×C₇	—	8	2	no	—
829	C₂³×C₇	C₂²×D₄	1	2	yes	—
830	C₂³×C₇	C₂²×D₄	1	2	yes	—
831	C₂³×C₇	C₂×#41	1	2	yes	—
832	C₂³×C₇	C₂×#41	1	2	yes	—
833	C₂³×C₇	C₂⁵	1	1	yes	characteristic
834	C₇×Q₈	—	8	2	no	—
835	C₇×Q₈	—	8	2	no	—
836	C₇×D₄	—	2	8	no	—
837	C₇×D₄	—	4	4	no	—
838	C₇×D₄	—	4	4	no	—
839	C₇×D₄	—	4	4	no	—
840	C₇×D₄	—	8	2	no	—
841	C₇×D₄	—	8	2	no	—
842	C₇×D₄	—	8	2	no	—
843	C₇×D₄	—	8	2	no	—
844	C₇×D₄	—	8	2	no	—
845	C₇×D₄	—	8	2	no	—
846	C₇×D₄	—	8	2	no	—
847	C₇×D₄	—	8	2	no	—
848	C₂×C₄×C₇	—	2	1	no	—
849	C₂×C₄×C₇	—	2	1	no	—
850	C₂×C₄×C₇	—	2	1	no	—
851	C₂×C₄×C₇	—	2	1	no	—
852	C₂×C₄×C₇	—	2	1	no	—
853	C₂×C₄×C₇	—	2	1	no	—
854	C₂×C₄×C₇	—	2	1	no	—
855	C₂×C₄×C₇	—	2	1	no	—
856	C₂×C₄×C₇	—	2	1	no	—
857	C₂×C₄×C₇	—	2	1	no	—
858	C₂×C₄×C₇	—	2	1	no	—
859	C₂×C₄×C₇	—	2	1	no	—
860	C₂×C₄×C₇	—	2	1	no	—
861	C₂×C₄×C₇	—	2	1	no	—
862	C₂×C₄×C₇	—	2	1	no	—
863	C₂×C₄×C₇	—	2	1	no	—
864	C₂×C₄×C₇	—	2	1	no	—
865	C₂×C₄×C₇	—	2	1	no	—
866	C₂×C₄×C₇	—	2	1	no	—
867	C₂×C₄×C₇	—	2	1	no	—
868	C₂×C₄×C₇	—	2	1	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	1	no	—
886	C₂×C₄×C₇	—	2	1	no	—
887	C₂×C₄×C₇	—	2	1	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	—	4	4	no	—
914	C₂×C₄×C₇	—	4	4	no	—
915	C₂×C₄×C₇	—	4	4	no	—
916	C₂×C₄×C₇	—	4	4	no	—
917	C₂×C₄×C₇	—	4	4	no	—
918	C₂×C₄×C₇	—	4	4	no	—
919	C₂×C₄×C₇	—	4	4	no	—
920	C₂×C₄×C₇	—	8	2	no	—
921	C₂×C₄×C₇	—	8	2	no	—
922	C₂×C₄×C₇	—	8	2	no	—
923	C₂×C₄×C₇	—	8	2	no	—
924	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
925	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
926	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
927	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
928	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
929	C₂×C₄×C₇	C₂×#41	1	2	yes	—
930	C₂×C₄×C₇	C₂×#41	1	2	yes	—
931	C₂×C₄×C₇	C₂×#41	1	2	yes	—
932	C₂×C₄×C₇	C₂×#41	1	2	yes	—
933	C₂×C₄×C₇	H(5,𝔽₂)	1	2	yes	—
934	C₂⁵	C₂³×C₇	1	1	yes	characteristic
935	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
936	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
937	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
938	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
939	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
940	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
941	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
942	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
943	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
944	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
945	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
946	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
947	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
948	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
949	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
950	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
951	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
952	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
953	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
954	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
955	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
956	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
957	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
958	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
959	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
960	#126	—	2	4	no	—
961	#126	—	2	4	no	—
962	#126	—	2	4	no	—
963	#126	—	2	4	no	—
964	#125	—	2	4	no	—
965	#125	—	2	4	no	—
966	#124	—	2	4	no	—
967	#124	—	2	4	no	—
968	#124	—	4	2	no	—
969	#123	—	2	4	no	—
970	#123	—	2	4	no	—
971	#123	—	2	4	no	—
972	#123	—	2	4	no	—
973	#123	—	2	4	no	—
974	#123	—	2	4	no	—
975	#123	—	2	4	no	—
976	C₂²⋊Q₈	—	2	4	no	—
977	C₂²⋊Q₈	—	2	4	no	—
978	C₂²⋊Q₈	—	2	4	no	—
979	C₂²⋊Q₈	—	2	4	no	—
980	#121	—	2	4	no	—
981	#121	—	2	4	no	—
982	#121	—	2	4	no	—
983	#121	—	2	4	no	—
984	#121	—	2	4	no	—
985	#121	—	4	2	no	—
986	#120	—	2	4	no	—
987	#120	—	2	4	no	—
988	#120	—	2	4	no	—
989	C₄×D₄	—	2	4	no	—
990	C₄×D₄	—	2	4	no	—
991	C₄×D₄	—	2	4	no	—
992	C₄×D₄	—	2	4	no	—
993	C₄×D₄	—	4	2	no	—
994	C₄×D₄	C₇×D₄	1	8	yes	complemented
995	C₂×C₄⋊C₄	—	2	4	no	—
996	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
997	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
998	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
999	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1000	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1001	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1002	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1003	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1004	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1005	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1006	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1007	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1008	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1009	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1010	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1011	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1012	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1013	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1014	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1015	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1016	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1017	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1018	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1019	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1020	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1021	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1022	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1023	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1024	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1025	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1026	C₂×C₂²⋊C₄	—	2	4	no	—
1027	C₂×C₂²⋊C₄	—	2	4	no	—
1028	C₂×C₂²⋊C₄	—	4	2	no	—
1029	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1030	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1031	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1032	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1033	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1034	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1035	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1036	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1037	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1038	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1039	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1040	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1041	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1042	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1043	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1044	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1045	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1046	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1047	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1048	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1049	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1050	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1051	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1052	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1053	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1054	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1055	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1056	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1057	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1058	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1059	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1060	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
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×C₄²	—	4	2	no	—
1082	C₂×C₄²	—	4	2	no	—
1083	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1084	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1085	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1086	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1087	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1088	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1089	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1090	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1091	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1092	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1093	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1094	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1095	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1096	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1097	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1098	#95	C₂³×C₇	1	1	yes	characteristic
1099	#95	C₂³×C₇	1	1	yes	characteristic
1100	#95	C₂³×C₇	1	1	yes	characteristic
1101	#95	C₂³×C₇	1	1	yes	characteristic
1102	#95	C₂³×C₇	1	1	yes	characteristic
1103	#95	C₂³×C₇	1	1	yes	characteristic
1104	#95	C₂³×C₇	1	1	yes	characteristic
1105	#95	C₂³×C₇	1	1	yes	characteristic
1106	#95	C₂³×C₇	1	1	yes	characteristic
1107	#95	C₂³×C₇	1	1	yes	characteristic
1108	#95	C₂³×C₇	1	1	yes	characteristic
1109	#95	C₂³×C₇	1	1	yes	characteristic
1110	#95	C₂³×C₇	1	1	yes	characteristic
1111	#95	C₂³×C₇	1	1	yes	characteristic
1112	#95	C₂³×C₇	1	1	yes	characteristic
1113	#95	C₂³×C₇	1	1	yes	characteristic
1114	#95	C₂³×C₇	1	1	yes	characteristic
1115	#95	C₂³×C₇	1	1	yes	characteristic
1116	#95	C₂³×C₇	1	1	yes	characteristic
1117	#95	C₂³×C₇	1	1	yes	characteristic
1118	#95	C₂³×C₇	1	1	yes	characteristic
1119	#95	C₂³×C₇	1	1	yes	characteristic
1120	#95	C₂³×C₇	1	1	yes	characteristic
1121	#95	C₂³×C₇	1	1	yes	characteristic
1122	#95	C₂³×C₇	1	1	yes	characteristic
1123	#95	C₂³×C₇	1	1	yes	characteristic
1124	#95	C₂³×C₇	1	1	yes	characteristic
1125	#95	C₂³×C₇	1	1	yes	characteristic
1126	#95	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	C₂²×C₇	—	2	2	no	—
1131	C₂²×C₇	—	2	2	no	—
1132	C₂²×C₇	—	2	2	no	—
1133	C₂²×C₇	—	2	2	no	—
1134	C₂²×C₇	—	2	2	no	—
1135	C₂²×C₇	—	2	2	no	—
1136	C₂²×C₇	—	2	2	no	—
1137	C₂²×C₇	—	2	2	no	—
1138	C₂²×C₇	—	2	2	no	—
1139	C₂²×C₇	—	4	1	no	—
1140	C₂²×C₇	—	4	1	no	—
1141	C₂²×C₇	—	4	1	no	—
1142	C₂²×C₇	—	4	1	no	—
1143	C₂²×C₇	—	4	1	no	—
1144	C₂²×C₇	—	4	1	no	—
1145	C₂²×C₇	—	4	1	no	—
1146	C₂²×C₇	—	4	1	no	—
1147	C₂²×C₇	—	4	1	no	—
1148	C₂²×C₇	—	4	1	no	—
1149	C₂²×C₇	—	4	1	no	—
1150	C₂²×C₇	—	4	1	no	—
1151	C₂²×C₇	—	4	1	no	—
1152	C₂²×C₇	—	4	1	no	—
1153	C₂²×C₇	—	4	1	no	—
1154	C₂²×C₇	—	4	1	no	—
1155	C₂²×C₇	—	4	1	no	—
1156	C₂²×C₇	—	4	1	no	—
1157	C₂²×C₇	—	4	1	no	—
1158	C₂²×C₇	—	4	1	no	—
1159	C₂²×C₇	—	4	1	no	—
1160	C₂²×C₇	—	4	1	no	—
1161	C₂²×C₇	—	4	1	no	—
1162	C₂²×C₇	—	4	1	no	—
1163	C₂²×C₇	—	4	1	no	—
1164	C₂²×C₇	—	4	1	no	—
1165	C₂²×C₇	—	4	1	no	—
1166	C₂²×C₇	—	4	1	no	—
1167	C₂²×C₇	—	4	1	no	—
1168	C₂²×C₇	—	4	1	no	—
1169	C₂²×C₇	—	4	1	no	—
1170	C₂²×C₇	—	4	1	no	—
1171	C₂²×C₇	—	8	8	no	—
1172	C₂²×C₇	#532	1	4	yes	—
1173	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1174	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
1175	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
1176	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1177	C₂²×C₇	#585	1	1	yes	characteristic
1178	C₂²×C₇	#585	1	1	yes	characteristic
1179	C₂²×C₇	#585	1	1	yes	characteristic
1180	C₄×C₇	—	2	2	no	—
1181	C₄×C₇	—	2	2	no	—
1182	C₄×C₇	—	2	2	no	—
1183	C₄×C₇	—	2	2	no	—
1184	C₄×C₇	—	2	2	no	—
1185	C₄×C₇	—	2	2	no	—
1186	C₄×C₇	—	2	2	no	—
1187	C₄×C₇	—	2	2	no	—
1188	C₄×C₇	—	2	2	no	—
1189	C₄×C₇	—	2	2	no	—
1190	C₄×C₇	—	4	1	no	—
1191	C₄×C₇	—	4	1	no	—
1192	C₄×C₇	—	4	1	no	—
1193	C₄×C₇	—	4	1	no	—
1194	C₄×C₇	—	4	1	no	—
1195	C₄×C₇	—	4	1	no	—
1196	C₄×C₇	—	4	1	no	—
1197	C₄×C₇	—	4	1	no	—
1198	C₄×C₇	—	4	1	no	—
1199	C₄×C₇	—	4	1	no	—
1200	C₄×C₇	—	4	1	no	—
1201	C₄×C₇	—	4	1	no	—
1202	C₄×C₇	—	4	1	no	—
1203	C₄×C₇	—	4	1	no	—
1204	C₄×C₇	—	4	1	no	—
1205	C₂⁴	—	2	2	no	—
1206	C₂⁴	—	2	2	no	—
1207	C₂⁴	—	2	2	no	—
1208	C₂⁴	—	4	1	no	—
1209	C₂⁴	—	4	1	no	—
1210	C₂⁴	—	4	1	no	—
1211	C₂⁴	—	4	1	no	—
1212	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1213	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1214	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1215	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1216	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1217	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1218	C₂×Q₈	—	2	2	no	—
1219	C₂×Q₈	—	2	2	no	—
1220	C₂×Q₈	—	4	1	no	—
1221	C₂×Q₈	—	4	1	no	—
1222	C₂×Q₈	—	4	1	no	—
1223	C₂×Q₈	—	4	1	no	—
1224	C₂×D₄	—	2	2	no	—
1225	C₂×D₄	—	2	2	no	—
1226	C₂×D₄	—	2	2	no	—
1227	C₂×D₄	—	2	2	no	—
1228	C₂×D₄	—	2	2	no	—
1229	C₂×D₄	—	2	2	no	—
1230	C₂×D₄	—	2	2	no	—
1231	C₂×D₄	—	2	2	no	—
1232	C₂×D₄	—	2	2	no	—
1233	C₂×D₄	—	2	2	no	—
1234	C₂×D₄	—	2	2	no	—
1235	C₂×D₄	—	2	2	no	—
1236	C₂×D₄	—	2	2	no	—
1237	C₂×D₄	—	2	2	no	—
1238	C₂×D₄	—	2	2	no	—
1239	C₂×D₄	—	2	2	no	—
1240	C₂×D₄	—	2	2	no	—
1241	C₂×D₄	—	4	1	no	—
1242	C₂×D₄	—	4	1	no	—
1243	C₂×D₄	—	4	1	no	—
1244	C₂×D₄	—	4	1	no	—
1245	C₂×D₄	—	4	1	no	—
1246	C₂×D₄	—	4	1	no	—
1247	C₂×D₄	—	4	1	no	—
1248	C₂×D₄	—	4	1	no	—
1249	C₂×D₄	—	4	1	no	—
1250	C₂×D₄	—	4	1	no	—
1251	C₂×D₄	—	4	1	no	—
1252	C₂×D₄	—	4	1	no	—
1253	C₂×D₄	—	4	1	no	—
1254	C₂×D₄	—	4	1	no	—
1255	C₂×D₄	—	4	1	no	—
1256	C₂×D₄	—	4	1	no	—
1257	C₂×D₄	—	4	1	no	—
1258	C₂×D₄	—	4	1	no	—
1259	C₂×D₄	C₂×C₇×D₄	1	4	yes	—
1260	C₂²×C₄	—	2	2	no	—
1261	C₂²×C₄	—	2	2	no	—
1262	C₂²×C₄	—	2	2	no	—
1263	C₂²×C₄	—	2	2	no	—
1264	C₂²×C₄	—	2	2	no	—
1265	C₂²×C₄	—	2	2	no	—
1266	C₂²×C₄	—	2	2	no	—
1267	C₂²×C₄	—	2	2	no	—
1268	C₂²×C₄	—	2	2	no	—
1269	C₂²×C₄	—	2	2	no	—
1270	C₂²×C₄	—	2	2	no	—
1271	C₂²×C₄	—	2	2	no	—
1272	C₂²×C₄	—	4	1	no	—
1273	C₂²×C₄	—	4	1	no	—
1274	C₂²×C₄	—	4	1	no	—
1275	C₂²×C₄	—	4	1	no	—
1276	C₂²×C₄	—	4	1	no	—
1277	C₂²×C₄	—	4	1	no	—
1278	C₂²×C₄	—	4	1	no	—
1279	C₂²×C₄	—	4	1	no	—
1280	C₂²×C₄	—	4	1	no	—
1281	C₂²×C₄	—	4	1	no	—
1282	C₂²×C₄	—	4	1	no	—
1283	C₂²×C₄	—	4	1	no	—
1284	C₂²×C₄	—	4	1	no	—
1285	C₂²×C₄	—	4	1	no	—
1286	C₂²×C₄	—	4	1	no	—
1287	C₂²×C₄	—	4	1	no	—
1288	C₂²×C₄	—	4	1	no	—
1289	C₂²×C₄	—	4	1	no	—
1290	C₂²×C₄	C₂×C₇×D₄	1	4	yes	—
1291	C₂²×C₄	C₂×C₇×D₄	1	4	yes	—
1292	C₂²×C₄	C₇×#41	1	4	yes	—
1293	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1294	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1295	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1296	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1297	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1298	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1299	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1300	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1301	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1302	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1303	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1304	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1305	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1306	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1307	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1308	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1309	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1310	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1311	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1312	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1313	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1314	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1315	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1316	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1317	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1318	C₄⋊C₄	—	2	2	no	—
1319	C₄⋊C₄	—	2	2	no	—
1320	C₄⋊C₄	—	2	2	no	—
1321	C₄⋊C₄	—	2	2	no	—
1322	C₄⋊C₄	—	2	2	no	—
1323	C₄⋊C₄	—	2	2	no	—
1324	C₄⋊C₄	—	2	2	no	—
1325	C₄⋊C₄	—	2	2	no	—
1326	C₄⋊C₄	—	2	2	no	—
1327	C₄⋊C₄	—	2	2	no	—
1328	C₄⋊C₄	—	2	2	no	—
1329	C₄⋊C₄	—	2	2	no	—
1330	C₄⋊C₄	—	2	2	no	—
1331	C₄⋊C₄	—	2	2	no	—
1332	C₄⋊C₄	—	2	2	no	—
1333	C₄⋊C₄	—	2	2	no	—
1334	C₄⋊C₄	—	2	2	no	—
1335	C₄⋊C₄	—	2	2	no	—
1336	C₄⋊C₄	—	2	2	no	—
1337	C₄⋊C₄	—	2	2	no	—
1338	C₄⋊C₄	—	2	2	no	—
1339	C₄⋊C₄	—	2	2	no	—
1340	C₄⋊C₄	—	2	2	no	—
1341	C₄⋊C₄	—	4	1	no	—
1342	C₄⋊C₄	—	4	1	no	—
1343	C₄⋊C₄	—	4	1	no	—
1344	C₄⋊C₄	—	4	1	no	—
1345	C₄⋊C₄	—	4	1	no	—
1346	C₄⋊C₄	—	4	1	no	—
1347	C₄⋊C₄	C₂×C₇×D₄	1	4	yes	—
1348	C₂²⋊C₄	—	2	2	no	—
1349	C₂²⋊C₄	—	2	2	no	—
1350	C₂²⋊C₄	—	2	2	no	—
1351	C₂²⋊C₄	—	2	2	no	—
1352	C₂²⋊C₄	—	2	2	no	—
1353	C₂²⋊C₄	—	2	2	no	—
1354	C₂²⋊C₄	—	2	2	no	—
1355	C₂²⋊C₄	—	2	2	no	—
1356	C₂²⋊C₄	—	2	2	no	—
1357	C₂²⋊C₄	—	2	2	no	—
1358	C₂²⋊C₄	—	2	2	no	—
1359	C₂²⋊C₄	—	2	2	no	—
1360	C₂²⋊C₄	—	2	2	no	—
1361	C₂²⋊C₄	—	2	2	no	—
1362	C₂²⋊C₄	—	2	2	no	—
1363	C₂²⋊C₄	—	2	2	no	—
1364	C₂²⋊C₄	—	2	2	no	—
1365	C₂²⋊C₄	—	2	2	no	—
1366	C₂²⋊C₄	—	2	2	no	—
1367	C₂²⋊C₄	—	2	2	no	—
1368	C₂²⋊C₄	—	2	2	no	—
1369	C₂²⋊C₄	—	2	2	no	—
1370	C₂²⋊C₄	—	2	2	no	—
1371	C₂²⋊C₄	—	2	2	no	—
1372	C₂²⋊C₄	—	2	2	no	—
1373	C₂²⋊C₄	—	2	2	no	—
1374	C₂²⋊C₄	—	2	2	no	—
1375	C₂²⋊C₄	—	2	2	no	—
1376	C₂²⋊C₄	—	2	2	no	—
1377	C₂²⋊C₄	—	2	2	no	—
1378	C₂²⋊C₄	—	2	2	no	—
1379	C₂²⋊C₄	—	2	2	no	—
1380	C₂²⋊C₄	—	2	2	no	—
1381	C₂²⋊C₄	—	2	2	no	—
1382	C₂²⋊C₄	—	2	2	no	—
1383	C₂²⋊C₄	—	2	2	no	—
1384	C₂²⋊C₄	—	2	2	no	—
1385	C₂²⋊C₄	—	4	1	no	—
1386	C₂²⋊C₄	—	4	1	no	—
1387	C₂²⋊C₄	—	4	1	no	—
1388	C₂²⋊C₄	—	4	1	no	—
1389	C₂²⋊C₄	—	4	1	no	—
1390	C₂²⋊C₄	—	4	1	no	—
1391	C₂²⋊C₄	—	4	1	no	—
1392	C₂²⋊C₄	—	4	1	no	—
1393	C₂²⋊C₄	—	4	1	no	—
1394	C₂²⋊C₄	—	4	1	no	—
1395	C₂²⋊C₄	—	4	1	no	—
1396	C₂²⋊C₄	—	4	1	no	—
1397	C₂²⋊C₄	C₂×C₇×D₄	1	4	yes	—
1398	C₂²⋊C₄	C₂×C₇×D₄	1	4	yes	—
1399	C₂²⋊C₄	C₇×#41	1	4	yes	—
1400	C₄²	—	2	2	no	—
1401	C₄²	—	2	2	no	—
1402	C₄²	—	2	2	no	—
1403	C₄²	—	2	2	no	—
1404	C₄²	—	2	2	no	—
1405	C₄²	—	2	2	no	—
1406	C₄²	—	2	2	no	—
1407	C₄²	—	4	1	no	—
1408	C₄²	—	4	1	no	—
1409	C₄²	—	4	1	no	—
1410	C₄²	—	4	1	no	—
1411	C₄²	—	4	1	no	—
1412	C₄²	—	4	1	no	—
1413	C₄²	—	4	1	no	—
1414	C₄²	C₂×C₇×D₄	1	4	yes	—
1415	C₂×C₇	—	2	4	no	—
1416	C₂×C₇	—	4	2	no	—
1417	C₂×C₇	—	8	1	no	—
1418	C₂×C₇	—	8	1	no	—
1419	C₂×C₇	—	8	1	no	—
1420	C₂×C₇	—	8	1	no	—
1421	C₂×C₇	C₂×#532	1	1	yes	characteristic
1422	C₂×C₇	#3455	1	1	yes	characteristic
1423	C₂×C₇	#3459	1	1	yes	characteristic
1424	C₂×C₇	#3496	1	1	yes	characteristic
1425	C₂×C₇	#3500	1	1	yes	characteristic
1426	C₂×C₇	#3513	1	1	yes	characteristic
1427	C₂×C₇	#3521	1	1	yes	characteristic
1428	C₂³	—	2	1	no	—
1429	C₂³	—	2	1	no	—
1430	C₂³	—	2	1	no	—
1431	C₂³	—	2	1	no	—
1432	C₂³	—	2	1	no	—
1433	C₂³	—	2	1	no	—
1434	C₂³	—	2	1	no	—
1435	C₂³	—	2	1	no	—
1436	C₂³	—	2	1	no	—
1437	C₂³	—	2	1	no	—
1438	C₂³	—	2	1	no	—
1439	C₂³	—	2	1	no	—
1440	C₂³	—	2	1	no	—
1441	C₂³	—	2	1	no	—
1442	C₂³	—	2	1	no	—
1443	C₂³	—	2	1	no	—
1444	C₂³	—	2	1	no	—
1445	C₂³	—	2	1	no	—
1446	C₂³	—	2	1	no	—
1447	C₂³	—	2	1	no	—
1448	C₂³	—	2	1	no	—
1449	C₂³	—	2	1	no	—
1450	C₂³	—	2	1	no	—
1451	C₂³	—	2	1	no	—
1452	C₂³	—	2	1	no	—
1453	C₂³	—	2	1	no	—
1454	C₂³	—	2	1	no	—
1455	C₂³	—	2	1	no	—
1456	C₂³	—	2	1	no	—
1457	C₂³	—	2	1	no	—
1458	C₂³	—	2	1	no	—
1459	C₂³	—	2	1	no	—
1460	C₂³	—	2	1	no	—
1461	C₂³	—	2	1	no	—
1462	C₂³	—	2	1	no	—
1463	C₂³	—	2	1	no	—
1464	C₂³	—	2	1	no	—
1465	C₂³	—	2	1	no	—
1466	C₂³	—	4	4	no	—
1467	C₂³	—	4	4	no	—
1468	C₂³	—	4	4	no	—
1469	C₂³	—	8	2	no	—
1470	C₂³	—	8	2	no	—
1471	C₂³	—	8	2	no	—
1472	C₂³	—	8	2	no	—
1473	C₂³	C₂²×C₇×D₄	1	2	yes	—
1474	C₂³	C₂²×C₇×D₄	1	2	yes	—
1475	C₂³	C₂×C₇×#41	1	2	yes	—
1476	C₂³	C₂×C₇×#41	1	2	yes	—
1477	C₂³	C₂⁵×C₇	1	1	yes	characteristic
1478	Q₈	—	8	2	no	—
1479	Q₈	—	8	2	no	—
1480	D₄	—	2	8	no	—
1481	D₄	—	4	4	no	—
1482	D₄	—	4	4	no	—
1483	D₄	—	4	4	no	—
1484	D₄	—	8	2	no	—
1485	D₄	—	8	2	no	—
1486	D₄	—	8	2	no	—
1487	D₄	—	8	2	no	—
1488	D₄	—	8	2	no	—
1489	D₄	—	8	2	no	—
1490	D₄	—	8	2	no	—
1491	D₄	—	8	2	no	—
1492	C₂×C₄	—	2	1	no	—
1493	C₂×C₄	—	2	1	no	—
1494	C₂×C₄	—	2	1	no	—
1495	C₂×C₄	—	2	1	no	—
1496	C₂×C₄	—	2	1	no	—
1497	C₂×C₄	—	2	1	no	—
1498	C₂×C₄	—	2	1	no	—
1499	C₂×C₄	—	2	1	no	—
1500	C₂×C₄	—	2	1	no	—
1501	C₂×C₄	—	2	1	no	—
1502	C₂×C₄	—	2	1	no	—
1503	C₂×C₄	—	2	1	no	—
1504	C₂×C₄	—	2	1	no	—
1505	C₂×C₄	—	2	1	no	—
1506	C₂×C₄	—	2	1	no	—
1507	C₂×C₄	—	2	1	no	—
1508	C₂×C₄	—	2	1	no	—
1509	C₂×C₄	—	2	1	no	—
1510	C₂×C₄	—	2	1	no	—
1511	C₂×C₄	—	2	1	no	—
1512	C₂×C₄	—	2	1	no	—
1513	C₂×C₄	—	2	1	no	—
1514	C₂×C₄	—	2	1	no	—
1515	C₂×C₄	—	2	1	no	—
1516	C₂×C₄	—	2	1	no	—
1517	C₂×C₄	—	2	1	no	—
1518	C₂×C₄	—	2	1	no	—
1519	C₂×C₄	—	2	1	no	—
1520	C₂×C₄	—	2	1	no	—
1521	C₂×C₄	—	2	1	no	—
1522	C₂×C₄	—	2	1	no	—
1523	C₂×C₄	—	2	1	no	—
1524	C₂×C₄	—	2	1	no	—
1525	C₂×C₄	—	2	1	no	—
1526	C₂×C₄	—	2	1	no	—
1527	C₂×C₄	—	2	1	no	—
1528	C₂×C₄	—	2	1	no	—
1529	C₂×C₄	—	2	1	no	—
1530	C₂×C₄	—	2	1	no	—
1531	C₂×C₄	—	2	1	no	—
1532	C₂×C₄	—	2	1	no	—
1533	C₂×C₄	—	2	1	no	—
1534	C₂×C₄	—	2	1	no	—
1535	C₂×C₄	—	2	1	no	—
1536	C₂×C₄	—	2	1	no	—
1537	C₂×C₄	—	2	1	no	—
1538	C₂×C₄	—	2	1	no	—
1539	C₂×C₄	—	2	1	no	—
1540	C₂×C₄	—	2	1	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	—	4	4	no	—
1558	C₂×C₄	—	4	4	no	—
1559	C₂×C₄	—	4	4	no	—
1560	C₂×C₄	—	4	4	no	—
1561	C₂×C₄	—	4	4	no	—
1562	C₂×C₄	—	4	4	no	—
1563	C₂×C₄	—	4	4	no	—
1564	C₂×C₄	—	8	2	no	—
1565	C₂×C₄	—	8	2	no	—
1566	C₂×C₄	—	8	2	no	—
1567	C₂×C₄	—	8	2	no	—
1568	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1569	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1570	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1571	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1572	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1573	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1574	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1575	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1576	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1577	C₂×C₄	C₇×H(5,𝔽₂)	1	2	yes	—
1578	C₇	#35009	1	1	yes	characteristic, direct product factor, Sylow
1579	C₂²	—	2	2	no	—
1580	C₂²	—	2	2	no	—
1581	C₂²	—	2	2	no	—
1582	C₂²	—	2	2	no	—
1583	C₂²	—	2	2	no	—
1584	C₂²	—	2	2	no	—
1585	C₂²	—	2	2	no	—
1586	C₂²	—	2	2	no	—
1587	C₂²	—	2	2	no	—
1588	C₂²	—	4	1	no	—
1589	C₂²	—	4	1	no	—
1590	C₂²	—	4	1	no	—
1591	C₂²	—	4	1	no	—
1592	C₂²	—	4	1	no	—
1593	C₂²	—	4	1	no	—
1594	C₂²	—	4	1	no	—
1595	C₂²	—	4	1	no	—
1596	C₂²	—	4	1	no	—
1597	C₂²	—	4	1	no	—
1598	C₂²	—	4	1	no	—
1599	C₂²	—	4	1	no	—
1600	C₂²	—	4	1	no	—
1601	C₂²	—	4	1	no	—
1602	C₂²	—	4	1	no	—
1603	C₂²	—	4	1	no	—
1604	C₂²	—	4	1	no	—
1605	C₂²	—	4	1	no	—
1606	C₂²	—	4	1	no	—
1607	C₂²	—	4	1	no	—
1608	C₂²	—	4	1	no	—
1609	C₂²	—	4	1	no	—
1610	C₂²	—	4	1	no	—
1611	C₂²	—	4	1	no	—
1612	C₂²	—	4	1	no	—
1613	C₂²	—	4	1	no	—
1614	C₂²	—	4	1	no	—
1615	C₂²	—	4	1	no	—
1616	C₂²	—	4	1	no	—
1617	C₂²	—	4	1	no	—
1618	C₂²	—	4	1	no	—
1619	C₂²	—	4	1	no	—
1620	C₂²	—	8	8	no	—
1621	C₂²	C₇×#532	1	4	yes	—
1622	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
1623	C₂²	C₂²×C₇×#41	1	1	yes	characteristic
1624	C₂²	C₂²×C₇×#41	1	1	yes	characteristic
1625	C₂²	C₂×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1626	C₂²	C₇×#585	1	1	yes	characteristic
1627	C₂²	C₇×#585	1	1	yes	characteristic
1628	C₂²	C₇×#585	1	1	yes	characteristic
1629	C₄	—	2	2	no	—
1630	C₄	—	2	2	no	—
1631	C₄	—	2	2	no	—
1632	C₄	—	2	2	no	—
1633	C₄	—	2	2	no	—
1634	C₄	—	2	2	no	—
1635	C₄	—	2	2	no	—
1636	C₄	—	2	2	no	—
1637	C₄	—	2	2	no	—
1638	C₄	—	2	2	no	—
1639	C₄	—	4	1	no	—
1640	C₄	—	4	1	no	—
1641	C₄	—	4	1	no	—
1642	C₄	—	4	1	no	—
1643	C₄	—	4	1	no	—
1644	C₄	—	4	1	no	—
1645	C₄	—	4	1	no	—
1646	C₄	—	4	1	no	—
1647	C₄	—	4	1	no	—
1648	C₄	—	4	1	no	—
1649	C₄	—	4	1	no	—
1650	C₄	—	4	1	no	—
1651	C₄	—	4	1	no	—
1652	C₄	—	4	1	no	—
1653	C₄	—	4	1	no	—
1654	C₂	—	2	4	no	—
1655	C₂	—	4	2	no	—
1656	C₂	—	8	1	no	—
1657	C₂	—	8	1	no	—
1658	C₂	—	8	1	no	—
1659	C₂	—	8	1	no	—
1660	C₂	C₂×C₇×#532	1	1	yes	characteristic
1661	C₂	C₇×#3455	1	1	yes	characteristic
1662	C₂	C₇×#3459	1	1	yes	characteristic
1663	C₂	C₇×#3496	1	1	yes	characteristic
1664	C₂	C₇×#3500	1	1	yes	characteristic
1665	C₂	C₇×#3513	1	1	yes	characteristic
1666	C₂	C₇×#3521	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₇	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₇
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₇×#539	C₂	semidirect
2. C₂×C₇×#538	C₂	semidirect
3. C₇×#2861	C₂	semidirect
4. C₇×#2860	C₂	semidirect
5. C₇×#2854	C₂	semidirect
6. C₇×#2850	C₂	semidirect
7. C₇×#2664	C₂	semidirect
8. C₇×#2663	C₂	semidirect
9. C₇×#2662	C₂	semidirect
10. C₇×#2661	C₂	semidirect
11. C₇×#2560	C₂	semidirect
12. C₇×#2559	C₂	semidirect
13. C₇×#2558	C₂	semidirect
14. C₇×#2557	C₂	semidirect
15. C₇×#2549	C₂	semidirect
16. C₇×#2543	C₂	semidirect
17. C₇×#2539	C₂	semidirect
18. C₇×#2534	C₂	semidirect
19. C₇×#2521	C₂	semidirect
20. C₇×#2519	C₂	semidirect
21. C₇×#2488	C₂	semidirect
22. C₇×#2472	C₂	semidirect
23. C₇×#2464	C₂	semidirect
24. C₇×#2461	C₂	semidirect
25. C₇×#2425	C₂	semidirect
26. C₇×#2424	C₂	semidirect
27. C₇×#2322	C₂	semidirect
28. C₇×#2321	C₂	semidirect
29. C₄×C₇×#121	C₂	semidirect
30. C₂×C₇×#388	C₂	semidirect
31. C₄²×C₇×D₄	C₂	semidirect
36. C₂×C₇×#126	C₂²	semidirect
37. C₂×C₇×#126	C₂²	semidirect
38. C₂×C₇×#125	C₂²	semidirect
39. C₂×C₇×#125	C₂²	semidirect
48. C₂×C₇×#123	C₂²	semidirect
49. C₂×C₇×#123	C₂²	semidirect
52. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
53. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
68. C₂×C₄×C₇×D₄	C₂²	semidirect
74. C₂²×C₄²×C₇	C₂²	semidirect
75. C₇×#400	C₂²	semidirect
76. C₇×#400	C₂²	semidirect
79. C₇×#398	C₂²	semidirect
80. C₇×#398	C₂²	semidirect
81. C₇×#398	C₂²	semidirect
82. C₇×#398	C₂²	semidirect
84. C₇×#397	C₂²	semidirect
85. C₇×#397	C₂²	semidirect
86. C₇×#397	C₂²	semidirect
90. C₇×#396	C₂²	semidirect
91. C₇×#395	C₂²	semidirect
92. C₇×#395	C₂²	semidirect
99. C₇×#394	C₂²	semidirect
100. C₇×#394	C₂²	semidirect
102. C₇×#393	C₂²	semidirect
106. C₇×#392	C₂²	semidirect
107. C₇×#391	C₂²	semidirect
108. C₇×#391	C₂²	semidirect
109. C₇×#391	C₂²	semidirect
118. C₇×#390	C₂²	semidirect
119. C₇×#389	C₂²	semidirect
120. C₇×#389	C₂²	semidirect
121. C₇×#389	C₂²	semidirect
122. C₇×#389	C₂²	semidirect
123. C₇×#389	C₂²	semidirect
124. C₇×#389	C₂²	semidirect
142. C₇×#388	C₂²	semidirect
143. C₇×#388	C₂²	semidirect
144. C₇×#388	C₂²	semidirect
145. C₇×#388	C₂²	semidirect
146. C₇×#388	C₂²	semidirect
147. C₇×#388	C₂²	semidirect
148. C₇×#388	C₂²	semidirect
149. C₇×#388	C₂²	semidirect
150. C₇×#388	C₂²	semidirect
151. C₇×#387	C₂²	semidirect
152. C₇×#387	C₂²	semidirect
162. C₇×#386	C₂²	semidirect
163. C₇×#386	C₂²	semidirect
164. C₇×#386	C₂²	semidirect
167. C₇×#385	C₂²	semidirect
168. C₇×#385	C₂²	semidirect
169. C₇×#382	C₂²	semidirect
172. C₇×#380	C₂²	semidirect
174. C₄×C₇×C₄⋊C₄	C₂²	semidirect
175. C₄×C₇×C₄⋊C₄	C₂²	semidirect
176. C₄×C₇×C₄⋊C₄	C₂²	semidirect
177. C₄×C₇×C₄⋊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
188. C₄³×C₇	C₂²	semidirect
189. #35009	C₇	direct (N × H)
250. C₄×C₇×D₄	D₄	semidirect
386. C₂×#539	C₂×C₇	semidirect
387. C₂×#538	C₂×C₇	semidirect
388. #2861	C₂×C₇	semidirect
389. #2860	C₂×C₇	semidirect
390. #2854	C₂×C₇	semidirect
391. #2850	C₂×C₇	semidirect
392. #2664	C₂×C₇	semidirect
393. #2663	C₂×C₇	semidirect
394. #2662	C₂×C₇	semidirect
395. #2661	C₂×C₇	semidirect
396. #2560	C₂×C₇	semidirect
397. #2559	C₂×C₇	semidirect
398. #2558	C₂×C₇	semidirect
399. #2557	C₂×C₇	semidirect
400. #2549	C₂×C₇	semidirect
401. #2543	C₂×C₇	semidirect
402. #2539	C₂×C₇	semidirect
403. #2534	C₂×C₇	semidirect
404. #2521	C₂×C₇	semidirect
405. #2519	C₂×C₇	semidirect
406. #2488	C₂×C₇	semidirect
407. #2472	C₂×C₇	semidirect
408. #2464	C₂×C₇	semidirect
409. #2461	C₂×C₇	semidirect
410. #2425	C₂×C₇	semidirect
411. #2424	C₂×C₇	semidirect
412. #2322	C₂×C₇	semidirect
413. #2321	C₂×C₇	semidirect
414. C₄×#121	C₂×C₇	semidirect
415. C₂×#388	C₂×C₇	semidirect
416. C₄²×D₄	C₂×C₇	semidirect
631. C₂×#126	C₂²×C₇	semidirect
632. C₂×#126	C₂²×C₇	semidirect
633. C₂×#125	C₂²×C₇	semidirect
634. C₂×#125	C₂²×C₇	semidirect
643. C₂×#123	C₂²×C₇	semidirect
644. C₂×#123	C₂²×C₇	semidirect
647. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
648. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
663. C₂×C₄×D₄	C₂²×C₇	semidirect
669. C₂²×C₄²	C₂²×C₇	semidirect
670. #400	C₂²×C₇	semidirect
671. #400	C₂²×C₇	semidirect
674. #398	C₂²×C₇	semidirect
675. #398	C₂²×C₇	semidirect
676. #398	C₂²×C₇	semidirect
677. #398	C₂²×C₇	semidirect
679. #397	C₂²×C₇	semidirect
680. #397	C₂²×C₇	semidirect
681. #397	C₂²×C₇	semidirect
685. #396	C₂²×C₇	semidirect
686. #395	C₂²×C₇	semidirect
687. #395	C₂²×C₇	semidirect
694. #394	C₂²×C₇	semidirect
695. #394	C₂²×C₇	semidirect
697. #393	C₂²×C₇	semidirect
701. #392	C₂²×C₇	semidirect
702. #391	C₂²×C₇	semidirect
703. #391	C₂²×C₇	semidirect
704. #391	C₂²×C₇	semidirect
713. #390	C₂²×C₇	semidirect
714. #389	C₂²×C₇	semidirect
715. #389	C₂²×C₇	semidirect
716. #389	C₂²×C₇	semidirect
717. #389	C₂²×C₇	semidirect
718. #389	C₂²×C₇	semidirect
719. #389	C₂²×C₇	semidirect
737. #388	C₂²×C₇	semidirect
738. #388	C₂²×C₇	semidirect
739. #388	C₂²×C₇	semidirect
740. #388	C₂²×C₇	semidirect
741. #388	C₂²×C₇	semidirect
742. #388	C₂²×C₇	semidirect
743. #388	C₂²×C₇	semidirect
744. #388	C₂²×C₇	semidirect
745. #388	C₂²×C₇	semidirect
746. #387	C₂²×C₇	semidirect
747. #387	C₂²×C₇	semidirect
757. #386	C₂²×C₇	semidirect
758. #386	C₂²×C₇	semidirect
759. #386	C₂²×C₇	semidirect
762. #385	C₂²×C₇	semidirect
763. #385	C₂²×C₇	semidirect
764. #382	C₂²×C₇	semidirect
767. #380	C₂²×C₇	semidirect
769. C₄×C₄⋊C₄	C₂²×C₇	semidirect
770. C₄×C₄⋊C₄	C₂²×C₇	semidirect
771. C₄×C₄⋊C₄	C₂²×C₇	semidirect
772. C₄×C₄⋊C₄	C₂²×C₇	semidirect
776. C₄×C₂²⋊C₄	C₂²×C₇	semidirect
777. C₄×C₂²⋊C₄	C₂²×C₇	semidirect
778. C₄×C₂²⋊C₄	C₂²×C₇	semidirect
779. C₄×C₂²⋊C₄	C₂²×C₇	semidirect
780. C₄×C₂²⋊C₄	C₂²×C₇	semidirect
783. C₄³	C₂²×C₇	semidirect
994. C₄×D₄	C₇×D₄	semidirect
1578. C₇	#35009	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₇×#539	2
C₂×C₇×#538	2
C₇×#2861	2
C₇×#2860	2
C₇×#2854	2
C₇×#2850	2
C₇×#2664	2
C₇×#2663	2
C₇×#2662	2
C₇×#2661	2
C₇×#2560	2
C₇×#2559	2
C₇×#2558	2
C₇×#2557	2
C₇×#2549	2
C₇×#2543	2
C₇×#2539	2
C₇×#2534	2
C₇×#2521	2
C₇×#2519	2
C₇×#2488	2
C₇×#2472	2
C₇×#2464	2
C₇×#2461	2
C₇×#2425	2
C₇×#2424	2
C₇×#2322	2
C₇×#2321	2
C₄×C₇×#121	2
C₂×C₇×#388	2
C₄²×C₇×D₄	2
#35009	7

Subgroups — C7×#35009 #13212225

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#35009 #13212225