Subgroups — C₇×#34998 #13212214

Order 1792.

2314 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#2854	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇×#2853	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#2852	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇×#2850	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇×#2653	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇×#2649	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇×#2648	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇×#2648	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇×#2518	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇×#2518	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇×#2510	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#2510	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#2505	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#2488	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#2480	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇×#2472	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇×#2467	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇×#2459	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇×#2444	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇×#2437	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇×#2425	C₂	1	1	yes	maximal, characteristic, complemented
22	C₇×#2412	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇×#2410	C₂	1	1	yes	maximal, characteristic
24	C₇×#2405	C₂	1	1	yes	maximal, characteristic, complemented
25	C₇×#2329	C₂	1	1	yes	maximal, characteristic, complemented
26	C₇×#2321	C₂	1	1	yes	maximal, characteristic, complemented
27	C₇×#2318	C₂	1	1	yes	maximal, characteristic, complemented
28	C₇×#2312	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×C₇×#120	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₇×#386	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	C₂×C₇×#126	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₇×#124	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₇×#123	C₂²	1	1	yes	characteristic
37	C₂×C₇×#123	C₂²	1	1	yes	characteristic
38	C₂×C₇×#123	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
40	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₇×#121	C₂²	1	1	yes	characteristic
42	C₂×C₇×#121	C₂²	1	1	yes	characteristic
43	C₂×C₇×#120	C₂²	1	1	yes	characteristic
44	C₂×C₇×#120	C₂²	1	1	yes	characteristic
45	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
46	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
47	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
48	C₂²×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
49	C₂²×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
50	C₂²×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
51	C₂²×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
52	C₂²×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
53	C₂²×C₄²×C₇	C₂²	1	1	yes	characteristic, complemented
54	C₂²×C₄²×C₇	C₂²	1	1	yes	characteristic, complemented
55	C₇×#401	C₂²	1	1	yes	characteristic, complemented
56	C₇×#400	C₂²	1	1	yes	characteristic, complemented
57	C₇×#400	C₂²	1	1	yes	characteristic, complemented
58	C₇×#400	C₂²	1	1	yes	characteristic, complemented
59	C₇×#400	C₂²	1	1	yes	characteristic, complemented
60	C₇×#399	C₂²	1	1	yes	characteristic, complemented
61	C₇×#398	C₂²	1	1	yes	characteristic, complemented
62	C₇×#397	C₂²	1	1	yes	characteristic, complemented
63	C₇×#397	C₂²	1	1	yes	characteristic, complemented
64	C₇×#397	C₂²	1	1	yes	characteristic, complemented
65	C₇×#397	C₂²	1	1	yes	characteristic, complemented
66	C₇×#397	C₂²	1	1	yes	characteristic, complemented
67	C₇×#397	C₂²	1	1	yes	characteristic, complemented
68	C₇×#397	C₂²	1	1	yes	characteristic, complemented
69	C₇×#397	C₂²	1	1	yes	characteristic, complemented
70	C₇×#396	C₂²	1	1	yes	characteristic, complemented
71	C₇×#396	C₂²	1	1	yes	characteristic, complemented
72	C₇×#396	C₂²	1	1	yes	characteristic, complemented
73	C₇×#394	C₂²	1	1	yes	characteristic
74	C₇×#394	C₂²	1	1	yes	characteristic
75	C₇×#394	C₂²	1	1	yes	characteristic
76	C₇×#394	C₂²	1	1	yes	characteristic
77	C₇×#394	C₂²	1	1	yes	characteristic
78	C₇×#394	C₂²	1	1	yes	characteristic
79	C₇×#394	C₂²	1	1	yes	characteristic, complemented
80	C₇×#394	C₂²	1	1	yes	characteristic, complemented
81	C₇×#394	C₂²	1	1	yes	characteristic, complemented
82	C₇×#394	C₂²	1	1	yes	characteristic, complemented
83	C₇×#393	C₂²	1	1	yes	characteristic, complemented
84	C₇×#393	C₂²	1	1	yes	characteristic, complemented
85	C₇×#392	C₂²	1	1	yes	characteristic
86	C₇×#392	C₂²	1	1	yes	characteristic
87	C₇×#391	C₂²	1	1	yes	characteristic, complemented
88	C₇×#391	C₂²	1	1	yes	characteristic, complemented
89	C₇×#390	C₂²	1	1	yes	characteristic, complemented
90	C₇×#390	C₂²	1	1	yes	characteristic, complemented
91	C₇×#390	C₂²	1	1	yes	characteristic, complemented
92	C₇×#389	C₂²	1	1	yes	characteristic, complemented
93	C₇×#389	C₂²	1	1	yes	characteristic, complemented
94	C₇×#389	C₂²	1	1	yes	characteristic, complemented
95	C₇×#388	C₂²	1	1	yes	characteristic, complemented
96	C₇×#388	C₂²	1	1	yes	characteristic, complemented
97	C₇×#388	C₂²	1	1	yes	characteristic, complemented
98	C₇×#388	C₂²	1	1	yes	characteristic, complemented
99	C₇×#388	C₂²	1	1	yes	characteristic, complemented
100	C₇×#388	C₂²	1	1	yes	characteristic, complemented
101	C₇×#388	C₂²	1	1	yes	characteristic, complemented
102	C₇×#388	C₂²	1	1	yes	characteristic, complemented
103	C₇×#388	C₂²	1	1	yes	characteristic, complemented
104	C₇×#388	C₂²	1	1	yes	characteristic, complemented
105	C₇×#388	C₂²	1	1	yes	characteristic, complemented
106	C₇×#388	C₂²	1	1	yes	characteristic, complemented
107	C₇×#388	C₂²	1	1	yes	characteristic, complemented
108	C₇×#388	C₂²	1	1	yes	characteristic, complemented
109	C₇×#388	C₂²	1	1	yes	characteristic, complemented
110	C₇×#388	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×#387	C₂²	1	1	yes	characteristic, complemented
117	C₇×#387	C₂²	1	1	yes	characteristic, complemented
118	C₇×#387	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×#386	C₂²	1	1	yes	characteristic
126	C₇×#386	C₂²	1	1	yes	characteristic
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
136	C₇×#386	C₂²	1	1	yes	characteristic
137	C₇×#386	C₂²	1	1	yes	characteristic
138	C₇×#386	C₂²	1	1	yes	characteristic
139	C₇×#386	C₂²	1	1	yes	characteristic
140	C₇×#386	C₂²	1	1	yes	characteristic
141	C₇×#386	C₂²	1	1	yes	characteristic, complemented
142	C₇×#386	C₂²	1	1	yes	characteristic, complemented
143	C₇×#386	C₂²	1	1	yes	characteristic, complemented
144	C₇×#386	C₂²	1	1	yes	characteristic, complemented
145	C₇×#386	C₂²	1	1	yes	characteristic, complemented
146	C₇×#385	C₂²	1	1	yes	characteristic
147	C₇×#385	C₂²	1	1	yes	characteristic
148	C₇×#385	C₂²	1	1	yes	characteristic
149	C₇×#385	C₂²	1	1	yes	characteristic
150	C₇×#385	C₂²	1	1	yes	characteristic
151	C₇×#385	C₂²	1	1	yes	characteristic
152	C₇×#385	C₂²	1	1	yes	characteristic, complemented
153	C₇×#385	C₂²	1	1	yes	characteristic, complemented
154	C₇×#385	C₂²	1	1	yes	characteristic, complemented
155	C₇×#385	C₂²	1	1	yes	characteristic, complemented
156	C₇×#385	C₂²	1	1	yes	characteristic, complemented
157	C₇×#383	C₂²	1	1	yes	characteristic, complemented
158	C₇×#383	C₂²	1	1	yes	characteristic, complemented
159	C₇×#382	C₂²	1	1	yes	characteristic, complemented
160	C₇×#382	C₂²	1	1	yes	characteristic, complemented
161	C₇×#381	C₂²	1	1	yes	characteristic, complemented
162	C₇×#381	C₂²	1	1	yes	characteristic, complemented
163	C₇×#380	C₂²	1	1	yes	characteristic
164	C₇×#380	C₂²	1	1	yes	characteristic
165	C₇×#380	C₂²	1	1	yes	characteristic
166	C₇×#380	C₂²	1	1	yes	characteristic, complemented
167	C₇×#380	C₂²	1	1	yes	characteristic, complemented
168	C₇×#379	C₂²	1	1	yes	characteristic
169	C₇×#379	C₂²	1	1	yes	characteristic
170	C₇×#379	C₂²	1	1	yes	characteristic
171	C₇×#379	C₂²	1	1	yes	characteristic
172	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
173	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
174	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
175	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
176	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
177	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
178	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
179	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
180	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
181	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
182	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
183	C₂×C₇×#95	C₂²	1	1	yes	characteristic
184	C₂×C₇×#95	C₂²	1	1	yes	characteristic
185	C₂×C₇×#95	C₂²	1	1	yes	characteristic, complemented
186	C₂×C₇×#95	C₂²	1	1	yes	characteristic, complemented
187	#34998	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
188	C₂⁵×C₇	C₂³	1	1	yes	characteristic
189	C₂⁵×C₇	C₂³	1	1	yes	characteristic
190	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
191	C₂²×C₇×D₄	—	2	4	no	—
192	C₂²×C₇×D₄	—	4	2	no	—
193	C₂²×C₇×D₄	—	4	2	no	—
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	C₂³×C₄×C₇	—	2	4	no	—
204	C₂³×C₄×C₇	—	4	2	no	—
205	C₂³×C₄×C₇	—	4	2	no	—
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	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	C₇×#126	—	4	2	no	—
221	C₇×#124	—	4	2	no	—
222	C₇×#123	—	4	2	no	—
223	C₇×#123	—	4	2	no	—
224	C₇×#123	—	4	2	no	—
225	C₇×C₂²⋊Q₈	—	2	4	no	—
226	C₇×C₂²⋊Q₈	—	4	2	no	—
227	C₇×#121	—	4	2	no	—
228	C₇×#121	—	4	2	no	—
229	C₇×#120	—	2	4	no	—
230	C₇×#120	—	2	4	no	—
231	C₄×C₇×D₄	—	2	4	no	—
232	C₄×C₇×D₄	—	4	2	no	—
233	C₄×C₇×D₄	—	4	2	no	—
234	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×C₂²⋊C₄	—	2	4	no	—
257	C₂×C₇×C₂²⋊C₄	—	2	4	no	—
258	C₂×C₇×C₂²⋊C₄	—	2	4	no	—
259	C₂×C₇×C₂²⋊C₄	—	4	2	no	—
260	C₂×C₇×C₂²⋊C₄	—	4	2	no	—
261	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×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×C₄²×C₇	—	4	2	no	—
314	C₂×C₄²×C₇	—	4	2	no	—
315	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
316	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
317	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
318	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
319	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
320	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
321	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
322	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
323	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
324	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
325	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
326	C₇×#95	C₂³	1	1	yes	characteristic
327	C₇×#95	C₂³	1	1	yes	characteristic
328	C₇×#95	C₂³	1	1	yes	characteristic
329	C₇×#95	C₂³	1	1	yes	characteristic
330	C₇×#95	C₂³	1	1	yes	characteristic
331	C₇×#95	C₂³	1	1	yes	characteristic
332	C₇×#95	C₂³	1	1	yes	characteristic
333	C₇×#95	C₂³	1	1	yes	characteristic
334	C₇×#95	C₂³	1	1	yes	characteristic
335	C₇×#95	C₂³	1	1	yes	characteristic
336	C₇×#95	C₂³	1	1	yes	characteristic
337	C₇×#95	C₂³	1	1	yes	characteristic
338	C₇×#95	C₂³	1	1	yes	characteristic
339	C₇×#95	C₂³	1	1	yes	characteristic
340	C₇×#95	C₂³	1	1	yes	characteristic
341	C₇×#95	C₂³	1	1	yes	characteristic
342	C₇×#95	C₂³	1	1	yes	characteristic
343	C₇×#95	C₂³	1	1	yes	characteristic
344	C₇×#95	C₂³	1	1	yes	characteristic
345	C₇×#95	C₂³	1	1	yes	characteristic
346	C₇×#95	C₂³	1	1	yes	characteristic
347	C₇×#95	C₂³	1	1	yes	characteristic
348	C₇×#95	C₂³	1	1	yes	characteristic
349	C₇×#95	C₂³	1	1	yes	characteristic
350	C₇×#95	C₂³	1	1	yes	characteristic
351	C₇×#95	C₂³	1	1	yes	characteristic
352	C₇×#95	C₂³	1	1	yes	characteristic
353	C₇×#95	C₂³	1	1	yes	characteristic
354	C₇×#95	C₂³	1	1	yes	characteristic
355	C₇×#95	C₂³	1	1	yes	characteristic
356	C₇×#95	C₂³	1	1	yes	characteristic
357	C₇×#95	C₂³	1	1	yes	characteristic
358	C₇×#95	C₂³	1	1	yes	characteristic
359	C₇×#95	C₂³	1	1	yes	characteristic
360	C₇×#95	C₂³	1	1	yes	characteristic
361	C₇×#95	C₂³	1	1	yes	characteristic
362	C₇×#95	C₂³	1	1	yes	characteristic
363	C₇×#95	C₂³	1	1	yes	characteristic
364	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	#2854	C₂×C₇	1	1	yes	characteristic, complemented
371	#2853	C₂×C₇	1	1	yes	characteristic, complemented
372	#2852	C₂×C₇	1	1	yes	characteristic, complemented
373	#2850	C₂×C₇	1	1	yes	characteristic, complemented
374	#2653	C₂×C₇	1	1	yes	characteristic, complemented
375	#2649	C₂×C₇	1	1	yes	characteristic, complemented
376	#2648	C₂×C₇	1	1	yes	characteristic, complemented
377	#2648	C₂×C₇	1	1	yes	characteristic, complemented
378	#2518	C₂×C₇	1	1	yes	characteristic, complemented
379	#2518	C₂×C₇	1	1	yes	characteristic, complemented
380	#2510	C₂×C₇	1	1	yes	characteristic, complemented
381	#2510	C₂×C₇	1	1	yes	characteristic, complemented
382	#2505	C₂×C₇	1	1	yes	characteristic, complemented
383	#2488	C₂×C₇	1	1	yes	characteristic, complemented
384	#2480	C₂×C₇	1	1	yes	characteristic, complemented
385	#2472	C₂×C₇	1	1	yes	characteristic, complemented
386	#2467	C₂×C₇	1	1	yes	characteristic, complemented
387	#2459	C₂×C₇	1	1	yes	characteristic, complemented
388	#2444	C₂×C₇	1	1	yes	characteristic, complemented
389	#2437	C₂×C₇	1	1	yes	characteristic, complemented
390	#2425	C₂×C₇	1	1	yes	characteristic, complemented
391	#2412	C₂×C₇	1	1	yes	characteristic, complemented
392	#2410	C₂×C₇	1	1	yes	characteristic
393	#2405	C₂×C₇	1	1	yes	characteristic, complemented
394	#2329	C₂×C₇	1	1	yes	characteristic, complemented
395	#2321	C₂×C₇	1	1	yes	characteristic, complemented
396	#2318	C₂×C₇	1	1	yes	characteristic, complemented
397	#2312	C₂×C₇	1	1	yes	characteristic, complemented
398	C₄×#120	C₂×C₇	1	1	yes	characteristic, complemented
399	C₂×#386	C₂×C₇	1	1	yes	characteristic, complemented
400	C₂×C₄×C₂²⋊C₄	C₂×C₇	1	1	yes	characteristic, complemented
401	C₂⁴×C₇	—	2	2	no	—
402	C₂⁴×C₇	—	2	2	no	—
403	C₂⁴×C₇	—	2	2	no	—
404	C₂⁴×C₇	—	2	2	no	—
405	C₂⁴×C₇	—	2	2	no	—
406	C₂⁴×C₇	—	2	2	no	—
407	C₂⁴×C₇	—	2	2	no	—
408	C₂⁴×C₇	—	4	1	no	—
409	C₂⁴×C₇	—	4	1	no	—
410	C₂⁴×C₇	—	4	1	no	—
411	C₂⁴×C₇	—	4	1	no	—
412	C₂⁴×C₇	—	4	1	no	—
413	C₂⁴×C₇	—	4	1	no	—
414	C₂⁴×C₇	#41	1	4	yes	—
415	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
416	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
417	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
418	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
419	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
420	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
421	C₂×C₇×Q₈	—	2	2	no	—
422	C₂×C₇×Q₈	—	4	1	no	—
423	C₂×C₇×Q₈	—	4	1	no	—
424	C₂×C₇×D₄	—	2	2	no	—
425	C₂×C₇×D₄	—	2	2	no	—
426	C₂×C₇×D₄	—	2	2	no	—
427	C₂×C₇×D₄	—	2	2	no	—
428	C₂×C₇×D₄	—	2	2	no	—
429	C₂×C₇×D₄	—	2	2	no	—
430	C₂×C₇×D₄	—	2	2	no	—
431	C₂×C₇×D₄	—	2	2	no	—
432	C₂×C₇×D₄	—	2	2	no	—
433	C₂×C₇×D₄	—	2	2	no	—
434	C₂×C₇×D₄	—	2	2	no	—
435	C₂×C₇×D₄	—	2	2	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	—	4	1	no	—
442	C₂×C₇×D₄	—	4	1	no	—
443	C₂×C₇×D₄	—	4	1	no	—
444	C₂×C₇×D₄	—	4	1	no	—
445	C₂×C₇×D₄	—	4	1	no	—
446	C₂×C₇×D₄	—	4	1	no	—
447	C₂×C₇×D₄	—	4	1	no	—
448	C₂×C₇×D₄	—	4	1	no	—
449	C₂×C₇×D₄	—	4	1	no	—
450	C₂×C₇×D₄	—	4	1	no	—
451	C₂×C₇×D₄	—	4	16	no	—
452	C₂²×C₄×C₇	—	2	2	no	—
453	C₂²×C₄×C₇	—	2	2	no	—
454	C₂²×C₄×C₇	—	2	2	no	—
455	C₂²×C₄×C₇	—	2	2	no	—
456	C₂²×C₄×C₇	—	2	2	no	—
457	C₂²×C₄×C₇	—	2	2	no	—
458	C₂²×C₄×C₇	—	2	2	no	—
459	C₂²×C₄×C₇	—	2	2	no	—
460	C₂²×C₄×C₇	—	2	2	no	—
461	C₂²×C₄×C₇	—	2	2	no	—
462	C₂²×C₄×C₇	—	2	2	no	—
463	C₂²×C₄×C₇	—	2	2	no	—
464	C₂²×C₄×C₇	—	2	2	no	—
465	C₂²×C₄×C₇	—	2	2	no	—
466	C₂²×C₄×C₇	—	2	2	no	—
467	C₂²×C₄×C₇	—	2	2	no	—
468	C₂²×C₄×C₇	—	2	2	no	—
469	C₂²×C₄×C₇	—	2	2	no	—
470	C₂²×C₄×C₇	—	2	2	no	—
471	C₂²×C₄×C₇	—	2	2	no	—
472	C₂²×C₄×C₇	—	2	2	no	—
473	C₂²×C₄×C₇	—	2	2	no	—
474	C₂²×C₄×C₇	—	4	1	no	—
475	C₂²×C₄×C₇	—	4	1	no	—
476	C₂²×C₄×C₇	—	4	1	no	—
477	C₂²×C₄×C₇	—	4	1	no	—
478	C₂²×C₄×C₇	—	4	1	no	—
479	C₂²×C₄×C₇	—	4	1	no	—
480	C₂²×C₄×C₇	—	4	1	no	—
481	C₂²×C₄×C₇	—	4	1	no	—
482	C₂²×C₄×C₇	—	4	1	no	—
483	C₂²×C₄×C₇	—	4	1	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	16	no	—
494	C₂²×C₄×C₇	#41	1	4	yes	—
495	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
496	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
497	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
498	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
499	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
500	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
501	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
502	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
503	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
504	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
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	C₇×C₄⋊C₄	—	2	2	no	—
521	C₇×C₄⋊C₄	—	2	2	no	—
522	C₇×C₄⋊C₄	—	2	2	no	—
523	C₇×C₄⋊C₄	—	2	2	no	—
524	C₇×C₄⋊C₄	—	2	2	no	—
525	C₇×C₄⋊C₄	—	4	1	no	—
526	C₇×C₄⋊C₄	—	4	1	no	—
527	C₇×C₄⋊C₄	—	4	1	no	—
528	C₇×C₄⋊C₄	—	4	1	no	—
529	C₇×C₄⋊C₄	—	4	1	no	—
530	C₇×C₄⋊C₄	—	4	1	no	—
531	C₇×C₄⋊C₄	—	4	1	no	—
532	C₇×C₄⋊C₄	—	4	1	no	—
533	C₇×C₄⋊C₄	—	4	1	no	—
534	C₇×C₄⋊C₄	—	4	1	no	—
535	C₇×C₄⋊C₄	—	4	1	no	—
536	C₇×C₄⋊C₄	—	4	1	no	—
537	C₇×C₄⋊C₄	—	4	1	no	—
538	C₇×C₄⋊C₄	—	4	1	no	—
539	C₇×C₄⋊C₄	—	4	1	no	—
540	C₇×C₄⋊C₄	—	4	1	no	—
541	C₇×C₄⋊C₄	—	4	1	no	—
542	C₇×C₂²⋊C₄	—	2	2	no	—
543	C₇×C₂²⋊C₄	—	2	2	no	—
544	C₇×C₂²⋊C₄	—	2	2	no	—
545	C₇×C₂²⋊C₄	—	2	2	no	—
546	C₇×C₂²⋊C₄	—	2	2	no	—
547	C₇×C₂²⋊C₄	—	2	2	no	—
548	C₇×C₂²⋊C₄	—	2	2	no	—
549	C₇×C₂²⋊C₄	—	2	2	no	—
550	C₇×C₂²⋊C₄	—	2	2	no	—
551	C₇×C₂²⋊C₄	—	2	2	no	—
552	C₇×C₂²⋊C₄	—	2	2	no	—
553	C₇×C₂²⋊C₄	—	2	2	no	—
554	C₇×C₂²⋊C₄	—	2	2	no	—
555	C₇×C₂²⋊C₄	—	2	2	no	—
556	C₇×C₂²⋊C₄	—	2	2	no	—
557	C₇×C₂²⋊C₄	—	2	2	no	—
558	C₇×C₂²⋊C₄	—	2	2	no	—
559	C₇×C₂²⋊C₄	—	2	2	no	—
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	—	4	1	no	—
569	C₇×C₂²⋊C₄	—	4	1	no	—
570	C₇×C₂²⋊C₄	—	4	1	no	—
571	C₇×C₂²⋊C₄	—	4	1	no	—
572	C₇×C₂²⋊C₄	—	4	1	no	—
573	C₇×C₂²⋊C₄	—	4	1	no	—
574	C₇×C₂²⋊C₄	—	4	1	no	—
575	C₇×C₂²⋊C₄	—	4	1	no	—
576	C₇×C₂²⋊C₄	—	4	1	no	—
577	C₇×C₂²⋊C₄	—	4	1	no	—
578	C₇×C₂²⋊C₄	—	4	1	no	—
579	C₇×C₂²⋊C₄	—	4	1	no	—
580	C₇×C₂²⋊C₄	—	4	1	no	—
581	C₇×C₂²⋊C₄	—	4	1	no	—
582	C₇×C₂²⋊C₄	—	4	1	no	—
583	C₇×C₂²⋊C₄	—	4	1	no	—
584	C₇×C₂²⋊C₄	—	4	1	no	—
585	C₇×C₂²⋊C₄	—	4	1	no	—
586	C₇×C₂²⋊C₄	—	4	1	no	—
587	C₇×C₂²⋊C₄	—	4	1	no	—
588	C₇×C₂²⋊C₄	—	4	1	no	—
589	C₇×C₂²⋊C₄	—	4	1	no	—
590	C₇×C₂²⋊C₄	—	4	1	no	—
591	C₇×C₂²⋊C₄	—	4	1	no	—
592	C₇×C₂²⋊C₄	—	4	1	no	—
593	C₇×C₂²⋊C₄	#41	1	4	yes	—
594	C₄²×C₇	—	2	2	no	—
595	C₄²×C₇	—	2	2	no	—
596	C₄²×C₇	—	2	2	no	—
597	C₄²×C₇	—	4	1	no	—
598	C₄²×C₇	—	4	1	no	—
599	C₄²×C₇	—	4	1	no	—
600	C₄²×C₇	—	4	1	no	—
601	C₄²×C₇	—	4	1	no	—
602	C₄²×C₇	—	4	1	no	—
603	C₄²×C₇	—	4	1	no	—
604	C₄²×C₇	—	4	1	no	—
605	C₂³×D₄	C₂²×C₇	1	1	yes	characteristic
606	C₂⁴×C₄	C₂²×C₇	1	1	yes	characteristic
607	C₂×#126	C₂²×C₇	1	1	yes	characteristic, complemented
608	C₂×#124	C₂²×C₇	1	1	yes	characteristic, complemented
609	C₂×#123	C₂²×C₇	1	1	yes	characteristic
610	C₂×#123	C₂²×C₇	1	1	yes	characteristic
611	C₂×#123	C₂²×C₇	1	1	yes	characteristic, complemented
612	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
613	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
614	C₂×#121	C₂²×C₇	1	1	yes	characteristic
615	C₂×#121	C₂²×C₇	1	1	yes	characteristic
616	C₂×#120	C₂²×C₇	1	1	yes	characteristic
617	C₂×#120	C₂²×C₇	1	1	yes	characteristic
618	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
619	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
620	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
621	C₂²×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
622	C₂²×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
623	C₂²×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
624	C₂²×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
625	C₂²×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
626	C₂²×C₄²	C₂²×C₇	1	1	yes	characteristic, complemented
627	C₂²×C₄²	C₂²×C₇	1	1	yes	characteristic, complemented
628	#401	C₂²×C₇	1	1	yes	characteristic, complemented
629	#400	C₂²×C₇	1	1	yes	characteristic, complemented
630	#400	C₂²×C₇	1	1	yes	characteristic, complemented
631	#400	C₂²×C₇	1	1	yes	characteristic, complemented
632	#400	C₂²×C₇	1	1	yes	characteristic, complemented
633	#399	C₂²×C₇	1	1	yes	characteristic, complemented
634	#398	C₂²×C₇	1	1	yes	characteristic, complemented
635	#397	C₂²×C₇	1	1	yes	characteristic, complemented
636	#397	C₂²×C₇	1	1	yes	characteristic, complemented
637	#397	C₂²×C₇	1	1	yes	characteristic, complemented
638	#397	C₂²×C₇	1	1	yes	characteristic, complemented
639	#397	C₂²×C₇	1	1	yes	characteristic, complemented
640	#397	C₂²×C₇	1	1	yes	characteristic, complemented
641	#397	C₂²×C₇	1	1	yes	characteristic, complemented
642	#397	C₂²×C₇	1	1	yes	characteristic, complemented
643	#396	C₂²×C₇	1	1	yes	characteristic, complemented
644	#396	C₂²×C₇	1	1	yes	characteristic, complemented
645	#396	C₂²×C₇	1	1	yes	characteristic, complemented
646	#394	C₂²×C₇	1	1	yes	characteristic
647	#394	C₂²×C₇	1	1	yes	characteristic
648	#394	C₂²×C₇	1	1	yes	characteristic
649	#394	C₂²×C₇	1	1	yes	characteristic
650	#394	C₂²×C₇	1	1	yes	characteristic
651	#394	C₂²×C₇	1	1	yes	characteristic
652	#394	C₂²×C₇	1	1	yes	characteristic, complemented
653	#394	C₂²×C₇	1	1	yes	characteristic, complemented
654	#394	C₂²×C₇	1	1	yes	characteristic, complemented
655	#394	C₂²×C₇	1	1	yes	characteristic, complemented
656	#393	C₂²×C₇	1	1	yes	characteristic, complemented
657	#393	C₂²×C₇	1	1	yes	characteristic, complemented
658	#392	C₂²×C₇	1	1	yes	characteristic
659	#392	C₂²×C₇	1	1	yes	characteristic
660	#391	C₂²×C₇	1	1	yes	characteristic, complemented
661	#391	C₂²×C₇	1	1	yes	characteristic, complemented
662	#390	C₂²×C₇	1	1	yes	characteristic, complemented
663	#390	C₂²×C₇	1	1	yes	characteristic, complemented
664	#390	C₂²×C₇	1	1	yes	characteristic, complemented
665	#389	C₂²×C₇	1	1	yes	characteristic, complemented
666	#389	C₂²×C₇	1	1	yes	characteristic, complemented
667	#389	C₂²×C₇	1	1	yes	characteristic, complemented
668	#388	C₂²×C₇	1	1	yes	characteristic, complemented
669	#388	C₂²×C₇	1	1	yes	characteristic, complemented
670	#388	C₂²×C₇	1	1	yes	characteristic, complemented
671	#388	C₂²×C₇	1	1	yes	characteristic, complemented
672	#388	C₂²×C₇	1	1	yes	characteristic, complemented
673	#388	C₂²×C₇	1	1	yes	characteristic, complemented
674	#388	C₂²×C₇	1	1	yes	characteristic, complemented
675	#388	C₂²×C₇	1	1	yes	characteristic, complemented
676	#388	C₂²×C₇	1	1	yes	characteristic, complemented
677	#388	C₂²×C₇	1	1	yes	characteristic, complemented
678	#388	C₂²×C₇	1	1	yes	characteristic, complemented
679	#388	C₂²×C₇	1	1	yes	characteristic, complemented
680	#388	C₂²×C₇	1	1	yes	characteristic, complemented
681	#388	C₂²×C₇	1	1	yes	characteristic, complemented
682	#388	C₂²×C₇	1	1	yes	characteristic, complemented
683	#388	C₂²×C₇	1	1	yes	characteristic, complemented
684	#388	C₂²×C₇	1	1	yes	characteristic, complemented
685	#388	C₂²×C₇	1	1	yes	characteristic, complemented
686	#388	C₂²×C₇	1	1	yes	characteristic, complemented
687	#388	C₂²×C₇	1	1	yes	characteristic, complemented
688	#388	C₂²×C₇	1	1	yes	characteristic, complemented
689	#387	C₂²×C₇	1	1	yes	characteristic, complemented
690	#387	C₂²×C₇	1	1	yes	characteristic, complemented
691	#387	C₂²×C₇	1	1	yes	characteristic, complemented
692	#387	C₂²×C₇	1	1	yes	characteristic, complemented
693	#387	C₂²×C₇	1	1	yes	characteristic, complemented
694	#387	C₂²×C₇	1	1	yes	characteristic, complemented
695	#387	C₂²×C₇	1	1	yes	characteristic, complemented
696	#387	C₂²×C₇	1	1	yes	characteristic, complemented
697	#387	C₂²×C₇	1	1	yes	characteristic, complemented
698	#386	C₂²×C₇	1	1	yes	characteristic
699	#386	C₂²×C₇	1	1	yes	characteristic
700	#386	C₂²×C₇	1	1	yes	characteristic
701	#386	C₂²×C₇	1	1	yes	characteristic
702	#386	C₂²×C₇	1	1	yes	characteristic
703	#386	C₂²×C₇	1	1	yes	characteristic
704	#386	C₂²×C₇	1	1	yes	characteristic
705	#386	C₂²×C₇	1	1	yes	characteristic
706	#386	C₂²×C₇	1	1	yes	characteristic
707	#386	C₂²×C₇	1	1	yes	characteristic
708	#386	C₂²×C₇	1	1	yes	characteristic
709	#386	C₂²×C₇	1	1	yes	characteristic
710	#386	C₂²×C₇	1	1	yes	characteristic
711	#386	C₂²×C₇	1	1	yes	characteristic
712	#386	C₂²×C₇	1	1	yes	characteristic
713	#386	C₂²×C₇	1	1	yes	characteristic
714	#386	C₂²×C₇	1	1	yes	characteristic, complemented
715	#386	C₂²×C₇	1	1	yes	characteristic, complemented
716	#386	C₂²×C₇	1	1	yes	characteristic, complemented
717	#386	C₂²×C₇	1	1	yes	characteristic, complemented
718	#386	C₂²×C₇	1	1	yes	characteristic, complemented
719	#385	C₂²×C₇	1	1	yes	characteristic
720	#385	C₂²×C₇	1	1	yes	characteristic
721	#385	C₂²×C₇	1	1	yes	characteristic
722	#385	C₂²×C₇	1	1	yes	characteristic
723	#385	C₂²×C₇	1	1	yes	characteristic
724	#385	C₂²×C₇	1	1	yes	characteristic
725	#385	C₂²×C₇	1	1	yes	characteristic, complemented
726	#385	C₂²×C₇	1	1	yes	characteristic, complemented
727	#385	C₂²×C₇	1	1	yes	characteristic, complemented
728	#385	C₂²×C₇	1	1	yes	characteristic, complemented
729	#385	C₂²×C₇	1	1	yes	characteristic, complemented
730	#383	C₂²×C₇	1	1	yes	characteristic, complemented
731	#383	C₂²×C₇	1	1	yes	characteristic, complemented
732	#382	C₂²×C₇	1	1	yes	characteristic, complemented
733	#382	C₂²×C₇	1	1	yes	characteristic, complemented
734	#381	C₂²×C₇	1	1	yes	characteristic, complemented
735	#381	C₂²×C₇	1	1	yes	characteristic, complemented
736	#380	C₂²×C₇	1	1	yes	characteristic
737	#380	C₂²×C₇	1	1	yes	characteristic
738	#380	C₂²×C₇	1	1	yes	characteristic
739	#380	C₂²×C₇	1	1	yes	characteristic, complemented
740	#380	C₂²×C₇	1	1	yes	characteristic, complemented
741	#379	C₂²×C₇	1	1	yes	characteristic
742	#379	C₂²×C₇	1	1	yes	characteristic
743	#379	C₂²×C₇	1	1	yes	characteristic
744	#379	C₂²×C₇	1	1	yes	characteristic
745	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
746	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
747	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
748	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
749	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
750	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
751	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
752	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
753	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
754	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
755	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
756	C₂×#95	C₂²×C₇	1	1	yes	characteristic
757	C₂×#95	C₂²×C₇	1	1	yes	characteristic
758	C₂×#95	C₂²×C₇	1	1	yes	characteristic, complemented
759	C₂×#95	C₂²×C₇	1	1	yes	characteristic, complemented
760	C₂³×C₇	—	2	1	no	—
761	C₂³×C₇	—	2	1	no	—
762	C₂³×C₇	—	2	1	no	—
763	C₂³×C₇	—	2	1	no	—
764	C₂³×C₇	—	2	1	no	—
765	C₂³×C₇	—	2	1	no	—
766	C₂³×C₇	—	2	1	no	—
767	C₂³×C₇	—	2	1	no	—
768	C₂³×C₇	—	2	8	no	—
769	C₂³×C₇	—	2	8	no	—
770	C₂³×C₇	—	2	1	no	—
771	C₂³×C₇	—	2	1	no	—
772	C₂³×C₇	—	2	1	no	—
773	C₂³×C₇	—	2	1	no	—
774	C₂³×C₇	—	2	1	no	—
775	C₂³×C₇	—	2	1	no	—
776	C₂³×C₇	—	2	1	no	—
777	C₂³×C₇	—	2	1	no	—
778	C₂³×C₇	—	2	1	no	—
779	C₂³×C₇	—	2	1	no	—
780	C₂³×C₇	—	2	1	no	—
781	C₂³×C₇	—	2	1	no	—
782	C₂³×C₇	—	2	1	no	—
783	C₂³×C₇	—	2	1	no	—
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	—	4	4	no	—
798	C₂³×C₇	—	4	4	no	—
799	C₂³×C₇	—	4	4	no	—
800	C₂³×C₇	—	4	4	no	—
801	C₂³×C₇	—	4	4	no	—
802	C₂³×C₇	—	4	4	no	—
803	C₂³×C₇	—	4	4	no	—
804	C₂³×C₇	—	4	4	no	—
805	C₂³×C₇	—	8	2	no	—
806	C₂³×C₇	—	8	2	no	—
807	C₂³×C₇	—	8	2	no	—
808	C₂³×C₇	—	8	2	no	—
809	C₂³×C₇	C₂×#41	1	2	yes	—
810	C₂³×C₇	C₂×#41	1	2	yes	—
811	C₂³×C₇	C₂×#41	1	2	yes	—
812	C₂³×C₇	C₂×#41	1	2	yes	—
813	C₂³×C₇	C₂×#41	1	2	yes	—
814	C₂³×C₇	H(5,𝔽₂)	1	2	yes	—
815	C₂³×C₇	H(5,𝔽₂)	1	2	yes	—
816	C₂³×C₇	C₂⁵	1	1	yes	characteristic
817	C₇×Q₈	—	8	2	no	—
818	C₇×D₄	—	4	4	no	—
819	C₇×D₄	—	4	4	no	—
820	C₇×D₄	—	4	4	no	—
821	C₇×D₄	—	4	4	no	—
822	C₇×D₄	—	4	4	no	—
823	C₇×D₄	—	4	4	no	—
824	C₇×D₄	—	4	4	no	—
825	C₇×D₄	—	8	2	no	—
826	C₇×D₄	—	8	2	no	—
827	C₂×C₄×C₇	—	2	8	no	—
828	C₂×C₄×C₇	—	2	1	no	—
829	C₂×C₄×C₇	—	2	1	no	—
830	C₂×C₄×C₇	—	2	1	no	—
831	C₂×C₄×C₇	—	2	1	no	—
832	C₂×C₄×C₇	—	2	1	no	—
833	C₂×C₄×C₇	—	2	1	no	—
834	C₂×C₄×C₇	—	2	1	no	—
835	C₂×C₄×C₇	—	2	1	no	—
836	C₂×C₄×C₇	—	2	1	no	—
837	C₂×C₄×C₇	—	2	1	no	—
838	C₂×C₄×C₇	—	2	1	no	—
839	C₂×C₄×C₇	—	2	1	no	—
840	C₂×C₄×C₇	—	2	1	no	—
841	C₂×C₄×C₇	—	2	1	no	—
842	C₂×C₄×C₇	—	2	1	no	—
843	C₂×C₄×C₇	—	2	1	no	—
844	C₂×C₄×C₇	—	2	1	no	—
845	C₂×C₄×C₇	—	2	1	no	—
846	C₂×C₄×C₇	—	2	1	no	—
847	C₂×C₄×C₇	—	2	1	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	—	4	4	no	—
899	C₂×C₄×C₇	—	4	4	no	—
900	C₂×C₄×C₇	—	4	4	no	—
901	C₂×C₄×C₇	—	4	4	no	—
902	C₂×C₄×C₇	—	4	4	no	—
903	C₂×C₄×C₇	—	4	4	no	—
904	C₂×C₄×C₇	—	4	4	no	—
905	C₂×C₄×C₇	—	4	4	no	—
906	C₂×C₄×C₇	—	4	4	no	—
907	C₂×C₄×C₇	—	4	4	no	—
908	C₂×C₄×C₇	—	8	2	no	—
909	C₂×C₄×C₇	—	8	2	no	—
910	C₂×C₄×C₇	—	8	2	no	—
911	C₂×C₄×C₇	C₂×#41	1	2	yes	—
912	C₂×C₄×C₇	C₂×#41	1	2	yes	—
913	C₂×C₄×C₇	C₂×#41	1	2	yes	—
914	C₂×C₄×C₇	C₂×#41	1	2	yes	—
915	C₂×C₄×C₇	H(5,𝔽₂)	1	2	yes	—
916	C₂⁵	C₂³×C₇	1	1	yes	characteristic
917	C₂⁵	C₂³×C₇	1	1	yes	characteristic
918	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
919	C₂²×D₄	—	2	4	no	—
920	C₂²×D₄	—	4	2	no	—
921	C₂²×D₄	—	4	2	no	—
922	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
923	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
924	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
925	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
926	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
927	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
928	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
929	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
930	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
931	C₂³×C₄	—	2	4	no	—
932	C₂³×C₄	—	4	2	no	—
933	C₂³×C₄	—	4	2	no	—
934	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
935	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
936	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
937	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
938	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
939	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
940	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
941	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
942	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
943	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
944	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
945	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
946	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
947	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
948	#126	—	4	2	no	—
949	#124	—	4	2	no	—
950	#123	—	4	2	no	—
951	#123	—	4	2	no	—
952	#123	—	4	2	no	—
953	C₂²⋊Q₈	—	2	4	no	—
954	C₂²⋊Q₈	—	4	2	no	—
955	#121	—	4	2	no	—
956	#121	—	4	2	no	—
957	#120	—	2	4	no	—
958	#120	—	2	4	no	—
959	C₄×D₄	—	2	4	no	—
960	C₄×D₄	—	4	2	no	—
961	C₄×D₄	—	4	2	no	—
962	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
963	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
964	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
965	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
966	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
967	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
968	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
969	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
970	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
971	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
972	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
973	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
974	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
975	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
976	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
977	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
978	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
979	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
980	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
981	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
982	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
983	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
984	C₂×C₂²⋊C₄	—	2	4	no	—
985	C₂×C₂²⋊C₄	—	2	4	no	—
986	C₂×C₂²⋊C₄	—	2	4	no	—
987	C₂×C₂²⋊C₄	—	4	2	no	—
988	C₂×C₂²⋊C₄	—	4	2	no	—
989	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
990	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
991	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
992	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
993	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
994	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
995	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
996	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
997	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
998	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
999	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1000	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1001	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1002	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1003	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1004	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1005	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1006	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1007	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1008	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1009	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1010	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1011	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1012	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1013	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1014	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1015	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1016	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1017	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1018	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1019	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1020	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1021	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1022	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1023	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1024	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1025	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1026	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1027	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1028	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
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×C₄²	—	4	2	no	—
1042	C₂×C₄²	—	4	2	no	—
1043	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1044	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1045	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1046	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1047	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1048	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1049	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1050	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1051	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1052	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1053	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1054	#95	C₂³×C₇	1	1	yes	characteristic
1055	#95	C₂³×C₇	1	1	yes	characteristic
1056	#95	C₂³×C₇	1	1	yes	characteristic
1057	#95	C₂³×C₇	1	1	yes	characteristic
1058	#95	C₂³×C₇	1	1	yes	characteristic
1059	#95	C₂³×C₇	1	1	yes	characteristic
1060	#95	C₂³×C₇	1	1	yes	characteristic
1061	#95	C₂³×C₇	1	1	yes	characteristic
1062	#95	C₂³×C₇	1	1	yes	characteristic
1063	#95	C₂³×C₇	1	1	yes	characteristic
1064	#95	C₂³×C₇	1	1	yes	characteristic
1065	#95	C₂³×C₇	1	1	yes	characteristic
1066	#95	C₂³×C₇	1	1	yes	characteristic
1067	#95	C₂³×C₇	1	1	yes	characteristic
1068	#95	C₂³×C₇	1	1	yes	characteristic
1069	#95	C₂³×C₇	1	1	yes	characteristic
1070	#95	C₂³×C₇	1	1	yes	characteristic
1071	#95	C₂³×C₇	1	1	yes	characteristic
1072	#95	C₂³×C₇	1	1	yes	characteristic
1073	#95	C₂³×C₇	1	1	yes	characteristic
1074	#95	C₂³×C₇	1	1	yes	characteristic
1075	#95	C₂³×C₇	1	1	yes	characteristic
1076	#95	C₂³×C₇	1	1	yes	characteristic
1077	#95	C₂³×C₇	1	1	yes	characteristic
1078	#95	C₂³×C₇	1	1	yes	characteristic
1079	#95	C₂³×C₇	1	1	yes	characteristic
1080	#95	C₂³×C₇	1	1	yes	characteristic
1081	#95	C₂³×C₇	1	1	yes	characteristic
1082	#95	C₂³×C₇	1	1	yes	characteristic
1083	#95	C₂³×C₇	1	1	yes	characteristic
1084	#95	C₂³×C₇	1	1	yes	characteristic
1085	#95	C₂³×C₇	1	1	yes	characteristic
1086	#95	C₂³×C₇	1	1	yes	characteristic
1087	#95	C₂³×C₇	1	1	yes	characteristic
1088	#95	C₂³×C₇	1	1	yes	characteristic
1089	#95	C₂³×C₇	1	1	yes	characteristic
1090	#95	C₂³×C₇	1	1	yes	characteristic
1091	#95	C₂³×C₇	1	1	yes	characteristic
1092	#95	C₂³×C₇	1	1	yes	characteristic
1093	#95	C₂³×C₇	1	1	yes	characteristic
1094	#95	C₂³×C₇	1	1	yes	characteristic
1095	#95	C₂³×C₇	1	1	yes	characteristic
1096	#95	C₂³×C₇	1	1	yes	characteristic
1097	#95	C₂³×C₇	1	1	yes	characteristic
1098	C₂²×C₇	—	2	2	no	—
1099	C₂²×C₇	—	2	2	no	—
1100	C₂²×C₇	—	2	2	no	—
1101	C₂²×C₇	—	2	2	no	—
1102	C₂²×C₇	—	2	2	no	—
1103	C₂²×C₇	—	2	2	no	—
1104	C₂²×C₇	—	2	2	no	—
1105	C₂²×C₇	—	2	2	no	—
1106	C₂²×C₇	—	2	2	no	—
1107	C₂²×C₇	—	2	2	no	—
1108	C₂²×C₇	—	2	2	no	—
1109	C₂²×C₇	—	2	2	no	—
1110	C₂²×C₇	—	2	2	no	—
1111	C₂²×C₇	—	2	2	no	—
1112	C₂²×C₇	—	2	2	no	—
1113	C₂²×C₇	—	4	16	no	—
1114	C₂²×C₇	—	4	1	no	—
1115	C₂²×C₇	—	4	1	no	—
1116	C₂²×C₇	—	4	1	no	—
1117	C₂²×C₇	—	4	1	no	—
1118	C₂²×C₇	—	4	1	no	—
1119	C₂²×C₇	—	4	1	no	—
1120	C₂²×C₇	—	4	1	no	—
1121	C₂²×C₇	—	4	1	no	—
1122	C₂²×C₇	—	4	1	no	—
1123	C₂²×C₇	—	4	1	no	—
1124	C₂²×C₇	—	4	1	no	—
1125	C₂²×C₇	—	4	1	no	—
1126	C₂²×C₇	—	4	1	no	—
1127	C₂²×C₇	—	4	1	no	—
1128	C₂²×C₇	—	4	1	no	—
1129	C₂²×C₇	—	4	1	no	—
1130	C₂²×C₇	—	4	1	no	—
1131	C₂²×C₇	—	4	1	no	—
1132	C₂²×C₇	—	4	1	no	—
1133	C₂²×C₇	—	4	1	no	—
1134	C₂²×C₇	—	4	1	no	—
1135	C₂²×C₇	—	4	1	no	—
1136	C₂²×C₇	—	4	1	no	—
1137	C₂²×C₇	—	4	1	no	—
1138	C₂²×C₇	—	4	1	no	—
1139	C₂²×C₇	—	8	8	no	—
1140	C₂²×C₇	#529	1	4	yes	—
1141	C₂²×C₇	#538	1	4	yes	—
1142	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
1143	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
1144	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
1145	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1146	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1147	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1148	C₂²×C₇	#585	1	1	yes	characteristic
1149	C₄×C₇	—	2	2	no	—
1150	C₄×C₇	—	2	2	no	—
1151	C₄×C₇	—	2	2	no	—
1152	C₄×C₇	—	2	2	no	—
1153	C₄×C₇	—	2	2	no	—
1154	C₄×C₇	—	4	1	no	—
1155	C₄×C₇	—	4	1	no	—
1156	C₄×C₇	—	4	1	no	—
1157	C₄×C₇	—	4	1	no	—
1158	C₄×C₇	—	4	1	no	—
1159	C₄×C₇	—	4	1	no	—
1160	C₄×C₇	—	4	1	no	—
1161	C₄×C₇	—	4	1	no	—
1162	C₄×C₇	—	4	1	no	—
1163	C₄×C₇	—	4	1	no	—
1164	C₄×C₇	—	4	1	no	—
1165	C₄×C₇	—	4	1	no	—
1166	C₄×C₇	—	4	1	no	—
1167	C₄×C₇	—	4	1	no	—
1168	C₄×C₇	—	4	1	no	—
1169	C₄×C₇	—	4	1	no	—
1170	C₄×C₇	—	4	1	no	—
1171	C₄×C₇	—	4	1	no	—
1172	C₄×C₇	—	4	1	no	—
1173	C₄×C₇	—	4	1	no	—
1174	C₂⁴	—	2	2	no	—
1175	C₂⁴	—	2	2	no	—
1176	C₂⁴	—	2	2	no	—
1177	C₂⁴	—	2	2	no	—
1178	C₂⁴	—	2	2	no	—
1179	C₂⁴	—	2	2	no	—
1180	C₂⁴	—	2	2	no	—
1181	C₂⁴	—	4	1	no	—
1182	C₂⁴	—	4	1	no	—
1183	C₂⁴	—	4	1	no	—
1184	C₂⁴	—	4	1	no	—
1185	C₂⁴	—	4	1	no	—
1186	C₂⁴	—	4	1	no	—
1187	C₂⁴	C₇×#41	1	4	yes	—
1188	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1189	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1190	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1191	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1192	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1193	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1194	C₂×Q₈	—	2	2	no	—
1195	C₂×Q₈	—	4	1	no	—
1196	C₂×Q₈	—	4	1	no	—
1197	C₂×D₄	—	2	2	no	—
1198	C₂×D₄	—	2	2	no	—
1199	C₂×D₄	—	2	2	no	—
1200	C₂×D₄	—	2	2	no	—
1201	C₂×D₄	—	2	2	no	—
1202	C₂×D₄	—	2	2	no	—
1203	C₂×D₄	—	2	2	no	—
1204	C₂×D₄	—	2	2	no	—
1205	C₂×D₄	—	2	2	no	—
1206	C₂×D₄	—	2	2	no	—
1207	C₂×D₄	—	2	2	no	—
1208	C₂×D₄	—	2	2	no	—
1209	C₂×D₄	—	2	2	no	—
1210	C₂×D₄	—	2	2	no	—
1211	C₂×D₄	—	2	2	no	—
1212	C₂×D₄	—	2	2	no	—
1213	C₂×D₄	—	2	2	no	—
1214	C₂×D₄	—	4	1	no	—
1215	C₂×D₄	—	4	1	no	—
1216	C₂×D₄	—	4	1	no	—
1217	C₂×D₄	—	4	1	no	—
1218	C₂×D₄	—	4	1	no	—
1219	C₂×D₄	—	4	1	no	—
1220	C₂×D₄	—	4	1	no	—
1221	C₂×D₄	—	4	1	no	—
1222	C₂×D₄	—	4	1	no	—
1223	C₂×D₄	—	4	1	no	—
1224	C₂×D₄	—	4	16	no	—
1225	C₂²×C₄	—	2	2	no	—
1226	C₂²×C₄	—	2	2	no	—
1227	C₂²×C₄	—	2	2	no	—
1228	C₂²×C₄	—	2	2	no	—
1229	C₂²×C₄	—	2	2	no	—
1230	C₂²×C₄	—	2	2	no	—
1231	C₂²×C₄	—	2	2	no	—
1232	C₂²×C₄	—	2	2	no	—
1233	C₂²×C₄	—	2	2	no	—
1234	C₂²×C₄	—	2	2	no	—
1235	C₂²×C₄	—	2	2	no	—
1236	C₂²×C₄	—	2	2	no	—
1237	C₂²×C₄	—	2	2	no	—
1238	C₂²×C₄	—	2	2	no	—
1239	C₂²×C₄	—	2	2	no	—
1240	C₂²×C₄	—	2	2	no	—
1241	C₂²×C₄	—	2	2	no	—
1242	C₂²×C₄	—	2	2	no	—
1243	C₂²×C₄	—	2	2	no	—
1244	C₂²×C₄	—	2	2	no	—
1245	C₂²×C₄	—	2	2	no	—
1246	C₂²×C₄	—	2	2	no	—
1247	C₂²×C₄	—	4	1	no	—
1248	C₂²×C₄	—	4	1	no	—
1249	C₂²×C₄	—	4	1	no	—
1250	C₂²×C₄	—	4	1	no	—
1251	C₂²×C₄	—	4	1	no	—
1252	C₂²×C₄	—	4	1	no	—
1253	C₂²×C₄	—	4	1	no	—
1254	C₂²×C₄	—	4	1	no	—
1255	C₂²×C₄	—	4	1	no	—
1256	C₂²×C₄	—	4	1	no	—
1257	C₂²×C₄	—	4	1	no	—
1258	C₂²×C₄	—	4	1	no	—
1259	C₂²×C₄	—	4	1	no	—
1260	C₂²×C₄	—	4	1	no	—
1261	C₂²×C₄	—	4	1	no	—
1262	C₂²×C₄	—	4	1	no	—
1263	C₂²×C₄	—	4	1	no	—
1264	C₂²×C₄	—	4	1	no	—
1265	C₂²×C₄	—	4	1	no	—
1266	C₂²×C₄	—	4	16	no	—
1267	C₂²×C₄	C₇×#41	1	4	yes	—
1268	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1269	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1270	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1271	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1272	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1273	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1274	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1275	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1276	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1277	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1278	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1279	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1280	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1281	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1282	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1283	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1284	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1285	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1286	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1287	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1288	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1289	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1290	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1291	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1292	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1293	C₄⋊C₄	—	2	2	no	—
1294	C₄⋊C₄	—	2	2	no	—
1295	C₄⋊C₄	—	2	2	no	—
1296	C₄⋊C₄	—	2	2	no	—
1297	C₄⋊C₄	—	2	2	no	—
1298	C₄⋊C₄	—	4	1	no	—
1299	C₄⋊C₄	—	4	1	no	—
1300	C₄⋊C₄	—	4	1	no	—
1301	C₄⋊C₄	—	4	1	no	—
1302	C₄⋊C₄	—	4	1	no	—
1303	C₄⋊C₄	—	4	1	no	—
1304	C₄⋊C₄	—	4	1	no	—
1305	C₄⋊C₄	—	4	1	no	—
1306	C₄⋊C₄	—	4	1	no	—
1307	C₄⋊C₄	—	4	1	no	—
1308	C₄⋊C₄	—	4	1	no	—
1309	C₄⋊C₄	—	4	1	no	—
1310	C₄⋊C₄	—	4	1	no	—
1311	C₄⋊C₄	—	4	1	no	—
1312	C₄⋊C₄	—	4	1	no	—
1313	C₄⋊C₄	—	4	1	no	—
1314	C₄⋊C₄	—	4	1	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	—	2	2	no	—
1331	C₂²⋊C₄	—	2	2	no	—
1332	C₂²⋊C₄	—	2	2	no	—
1333	C₂²⋊C₄	—	2	2	no	—
1334	C₂²⋊C₄	—	2	2	no	—
1335	C₂²⋊C₄	—	2	2	no	—
1336	C₂²⋊C₄	—	2	2	no	—
1337	C₂²⋊C₄	—	2	2	no	—
1338	C₂²⋊C₄	—	2	2	no	—
1339	C₂²⋊C₄	—	2	2	no	—
1340	C₂²⋊C₄	—	2	2	no	—
1341	C₂²⋊C₄	—	4	1	no	—
1342	C₂²⋊C₄	—	4	1	no	—
1343	C₂²⋊C₄	—	4	1	no	—
1344	C₂²⋊C₄	—	4	1	no	—
1345	C₂²⋊C₄	—	4	1	no	—
1346	C₂²⋊C₄	—	4	1	no	—
1347	C₂²⋊C₄	—	4	1	no	—
1348	C₂²⋊C₄	—	4	1	no	—
1349	C₂²⋊C₄	—	4	1	no	—
1350	C₂²⋊C₄	—	4	1	no	—
1351	C₂²⋊C₄	—	4	1	no	—
1352	C₂²⋊C₄	—	4	1	no	—
1353	C₂²⋊C₄	—	4	1	no	—
1354	C₂²⋊C₄	—	4	1	no	—
1355	C₂²⋊C₄	—	4	1	no	—
1356	C₂²⋊C₄	—	4	1	no	—
1357	C₂²⋊C₄	—	4	1	no	—
1358	C₂²⋊C₄	—	4	1	no	—
1359	C₂²⋊C₄	—	4	1	no	—
1360	C₂²⋊C₄	—	4	1	no	—
1361	C₂²⋊C₄	—	4	1	no	—
1362	C₂²⋊C₄	—	4	1	no	—
1363	C₂²⋊C₄	—	4	1	no	—
1364	C₂²⋊C₄	—	4	1	no	—
1365	C₂²⋊C₄	—	4	1	no	—
1366	C₂²⋊C₄	C₇×#41	1	4	yes	—
1367	C₄²	—	2	2	no	—
1368	C₄²	—	2	2	no	—
1369	C₄²	—	2	2	no	—
1370	C₄²	—	4	1	no	—
1371	C₄²	—	4	1	no	—
1372	C₄²	—	4	1	no	—
1373	C₄²	—	4	1	no	—
1374	C₄²	—	4	1	no	—
1375	C₄²	—	4	1	no	—
1376	C₄²	—	4	1	no	—
1377	C₄²	—	4	1	no	—
1378	C₂×C₇	—	2	4	no	—
1379	C₂×C₇	—	2	4	no	—
1380	C₂×C₇	—	4	2	no	—
1381	C₂×C₇	—	8	1	no	—
1382	C₂×C₇	—	8	1	no	—
1383	C₂×C₇	—	8	1	no	—
1384	C₂×C₇	C₂×#529	1	1	yes	characteristic
1385	C₂×C₇	C₂×#538	1	1	yes	characteristic
1386	C₂×C₇	#3459	1	1	yes	characteristic
1387	C₂×C₇	#3490	1	1	yes	characteristic
1388	C₂×C₇	#3494	1	1	yes	characteristic
1389	C₂×C₇	#3513	1	1	yes	characteristic
1390	C₂×C₇	#3519	1	1	yes	characteristic
1391	C₂³	—	2	1	no	—
1392	C₂³	—	2	1	no	—
1393	C₂³	—	2	1	no	—
1394	C₂³	—	2	1	no	—
1395	C₂³	—	2	1	no	—
1396	C₂³	—	2	1	no	—
1397	C₂³	—	2	1	no	—
1398	C₂³	—	2	1	no	—
1399	C₂³	—	2	1	no	—
1400	C₂³	—	2	1	no	—
1401	C₂³	—	2	1	no	—
1402	C₂³	—	2	1	no	—
1403	C₂³	—	2	1	no	—
1404	C₂³	—	2	1	no	—
1405	C₂³	—	2	8	no	—
1406	C₂³	—	2	8	no	—
1407	C₂³	—	2	1	no	—
1408	C₂³	—	2	1	no	—
1409	C₂³	—	2	1	no	—
1410	C₂³	—	2	1	no	—
1411	C₂³	—	2	1	no	—
1412	C₂³	—	2	1	no	—
1413	C₂³	—	2	1	no	—
1414	C₂³	—	2	1	no	—
1415	C₂³	—	2	1	no	—
1416	C₂³	—	2	1	no	—
1417	C₂³	—	2	1	no	—
1418	C₂³	—	2	1	no	—
1419	C₂³	—	2	1	no	—
1420	C₂³	—	2	1	no	—
1421	C₂³	—	2	1	no	—
1422	C₂³	—	2	1	no	—
1423	C₂³	—	2	1	no	—
1424	C₂³	—	2	1	no	—
1425	C₂³	—	2	1	no	—
1426	C₂³	—	2	1	no	—
1427	C₂³	—	2	1	no	—
1428	C₂³	—	4	4	no	—
1429	C₂³	—	4	4	no	—
1430	C₂³	—	4	4	no	—
1431	C₂³	—	4	4	no	—
1432	C₂³	—	4	4	no	—
1433	C₂³	—	4	4	no	—
1434	C₂³	—	4	4	no	—
1435	C₂³	—	4	4	no	—
1436	C₂³	—	8	2	no	—
1437	C₂³	—	8	2	no	—
1438	C₂³	—	8	2	no	—
1439	C₂³	—	8	2	no	—
1440	C₂³	C₂×C₇×#41	1	2	yes	—
1441	C₂³	C₂×C₇×#41	1	2	yes	—
1442	C₂³	C₂×C₇×#41	1	2	yes	—
1443	C₂³	C₂×C₇×#41	1	2	yes	—
1444	C₂³	C₂×C₇×#41	1	2	yes	—
1445	C₂³	C₇×H(5,𝔽₂)	1	2	yes	—
1446	C₂³	C₇×H(5,𝔽₂)	1	2	yes	—
1447	C₂³	C₂⁵×C₇	1	1	yes	characteristic
1448	Q₈	—	8	2	no	—
1449	D₄	—	4	4	no	—
1450	D₄	—	4	4	no	—
1451	D₄	—	4	4	no	—
1452	D₄	—	4	4	no	—
1453	D₄	—	4	4	no	—
1454	D₄	—	4	4	no	—
1455	D₄	—	4	4	no	—
1456	D₄	—	8	2	no	—
1457	D₄	—	8	2	no	—
1458	C₂×C₄	—	2	8	no	—
1459	C₂×C₄	—	2	1	no	—
1460	C₂×C₄	—	2	1	no	—
1461	C₂×C₄	—	2	1	no	—
1462	C₂×C₄	—	2	1	no	—
1463	C₂×C₄	—	2	1	no	—
1464	C₂×C₄	—	2	1	no	—
1465	C₂×C₄	—	2	1	no	—
1466	C₂×C₄	—	2	1	no	—
1467	C₂×C₄	—	2	1	no	—
1468	C₂×C₄	—	2	1	no	—
1469	C₂×C₄	—	2	1	no	—
1470	C₂×C₄	—	2	1	no	—
1471	C₂×C₄	—	2	1	no	—
1472	C₂×C₄	—	2	1	no	—
1473	C₂×C₄	—	2	1	no	—
1474	C₂×C₄	—	2	1	no	—
1475	C₂×C₄	—	2	1	no	—
1476	C₂×C₄	—	2	1	no	—
1477	C₂×C₄	—	2	1	no	—
1478	C₂×C₄	—	2	1	no	—
1479	C₂×C₄	—	2	1	no	—
1480	C₂×C₄	—	2	1	no	—
1481	C₂×C₄	—	2	1	no	—
1482	C₂×C₄	—	2	1	no	—
1483	C₂×C₄	—	2	1	no	—
1484	C₂×C₄	—	2	1	no	—
1485	C₂×C₄	—	2	1	no	—
1486	C₂×C₄	—	2	1	no	—
1487	C₂×C₄	—	2	1	no	—
1488	C₂×C₄	—	2	1	no	—
1489	C₂×C₄	—	2	1	no	—
1490	C₂×C₄	—	2	1	no	—
1491	C₂×C₄	—	2	1	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	—	4	4	no	—
1530	C₂×C₄	—	4	4	no	—
1531	C₂×C₄	—	4	4	no	—
1532	C₂×C₄	—	4	4	no	—
1533	C₂×C₄	—	4	4	no	—
1534	C₂×C₄	—	4	4	no	—
1535	C₂×C₄	—	4	4	no	—
1536	C₂×C₄	—	4	4	no	—
1537	C₂×C₄	—	4	4	no	—
1538	C₂×C₄	—	4	4	no	—
1539	C₂×C₄	—	8	2	no	—
1540	C₂×C₄	—	8	2	no	—
1541	C₂×C₄	—	8	2	no	—
1542	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1543	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1544	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1545	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1546	C₂×C₄	C₇×H(5,𝔽₂)	1	2	yes	—
1547	C₇	#34998	1	1	yes	characteristic, direct product factor, Sylow
1548	C₂²	—	2	2	no	—
1549	C₂²	—	2	2	no	—
1550	C₂²	—	2	2	no	—
1551	C₂²	—	2	2	no	—
1552	C₂²	—	2	2	no	—
1553	C₂²	—	2	2	no	—
1554	C₂²	—	2	2	no	—
1555	C₂²	—	2	2	no	—
1556	C₂²	—	2	2	no	—
1557	C₂²	—	2	2	no	—
1558	C₂²	—	2	2	no	—
1559	C₂²	—	2	2	no	—
1560	C₂²	—	2	2	no	—
1561	C₂²	—	2	2	no	—
1562	C₂²	—	2	2	no	—
1563	C₂²	—	4	16	no	—
1564	C₂²	—	4	1	no	—
1565	C₂²	—	4	1	no	—
1566	C₂²	—	4	1	no	—
1567	C₂²	—	4	1	no	—
1568	C₂²	—	4	1	no	—
1569	C₂²	—	4	1	no	—
1570	C₂²	—	4	1	no	—
1571	C₂²	—	4	1	no	—
1572	C₂²	—	4	1	no	—
1573	C₂²	—	4	1	no	—
1574	C₂²	—	4	1	no	—
1575	C₂²	—	4	1	no	—
1576	C₂²	—	4	1	no	—
1577	C₂²	—	4	1	no	—
1578	C₂²	—	4	1	no	—
1579	C₂²	—	4	1	no	—
1580	C₂²	—	4	1	no	—
1581	C₂²	—	4	1	no	—
1582	C₂²	—	4	1	no	—
1583	C₂²	—	4	1	no	—
1584	C₂²	—	4	1	no	—
1585	C₂²	—	4	1	no	—
1586	C₂²	—	4	1	no	—
1587	C₂²	—	4	1	no	—
1588	C₂²	—	4	1	no	—
1589	C₂²	—	8	8	no	—
1590	C₂²	C₇×#529	1	4	yes	—
1591	C₂²	C₇×#538	1	4	yes	—
1592	C₂²	C₂²×C₇×#41	1	1	yes	characteristic
1593	C₂²	C₂²×C₇×#41	1	1	yes	characteristic
1594	C₂²	C₂²×C₇×#41	1	1	yes	characteristic
1595	C₂²	C₂×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1596	C₂²	C₂×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1597	C₂²	C₂×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1598	C₂²	C₇×#585	1	1	yes	characteristic
1599	C₄	—	2	2	no	—
1600	C₄	—	2	2	no	—
1601	C₄	—	2	2	no	—
1602	C₄	—	2	2	no	—
1603	C₄	—	2	2	no	—
1604	C₄	—	4	1	no	—
1605	C₄	—	4	1	no	—
1606	C₄	—	4	1	no	—
1607	C₄	—	4	1	no	—
1608	C₄	—	4	1	no	—
1609	C₄	—	4	1	no	—
1610	C₄	—	4	1	no	—
1611	C₄	—	4	1	no	—
1612	C₄	—	4	1	no	—
1613	C₄	—	4	1	no	—
1614	C₄	—	4	1	no	—
1615	C₄	—	4	1	no	—
1616	C₄	—	4	1	no	—
1617	C₄	—	4	1	no	—
1618	C₄	—	4	1	no	—
1619	C₄	—	4	1	no	—
1620	C₄	—	4	1	no	—
1621	C₄	—	4	1	no	—
1622	C₄	—	4	1	no	—
1623	C₄	—	4	1	no	—
1624	C₂	—	2	4	no	—
1625	C₂	—	2	4	no	—
1626	C₂	—	4	2	no	—
1627	C₂	—	8	1	no	—
1628	C₂	—	8	1	no	—
1629	C₂	—	8	1	no	—
1630	C₂	C₂×C₇×#529	1	1	yes	characteristic
1631	C₂	C₂×C₇×#538	1	1	yes	characteristic
1632	C₂	C₇×#3459	1	1	yes	characteristic
1633	C₂	C₇×#3490	1	1	yes	characteristic
1634	C₂	C₇×#3494	1	1	yes	characteristic
1635	C₂	C₇×#3513	1	1	yes	characteristic
1636	C₂	C₇×#3519	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₇	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₇
prime radical	C₇×#2410	C₂
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. C₇×#2854	C₂	semidirect
2. C₇×#2853	C₂	semidirect
3. C₇×#2852	C₂	semidirect
4. C₇×#2850	C₂	semidirect
5. C₇×#2653	C₂	semidirect
6. C₇×#2649	C₂	semidirect
7. C₇×#2648	C₂	semidirect
8. C₇×#2648	C₂	semidirect
9. C₇×#2518	C₂	semidirect
10. C₇×#2518	C₂	semidirect
11. C₇×#2510	C₂	semidirect
12. C₇×#2510	C₂	semidirect
13. C₇×#2505	C₂	semidirect
14. C₇×#2488	C₂	semidirect
15. C₇×#2480	C₂	semidirect
16. C₇×#2472	C₂	semidirect
17. C₇×#2467	C₂	semidirect
18. C₇×#2459	C₂	semidirect
19. C₇×#2444	C₂	semidirect
20. C₇×#2437	C₂	semidirect
21. C₇×#2425	C₂	semidirect
22. C₇×#2412	C₂	semidirect
24. C₇×#2405	C₂	semidirect
25. C₇×#2329	C₂	semidirect
26. C₇×#2321	C₂	semidirect
27. C₇×#2318	C₂	semidirect
28. C₇×#2312	C₂	semidirect
29. C₄×C₇×#120	C₂	semidirect
30. C₂×C₇×#386	C₂	semidirect
31. C₂×C₄×C₇×C₂²⋊C₄	C₂	semidirect
34. C₂×C₇×#126	C₂²	semidirect
35. C₂×C₇×#124	C₂²	semidirect
38. C₂×C₇×#123	C₂²	semidirect
40. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
46. C₂×C₄×C₇×D₄	C₂²	semidirect
47. C₂×C₄×C₇×D₄	C₂²	semidirect
53. C₂²×C₄²×C₇	C₂²	semidirect
54. C₂²×C₄²×C₇	C₂²	semidirect
55. C₇×#401	C₂²	semidirect
56. C₇×#400	C₂²	semidirect
57. C₇×#400	C₂²	semidirect
58. C₇×#400	C₂²	semidirect
59. C₇×#400	C₂²	semidirect
60. C₇×#399	C₂²	semidirect
61. C₇×#398	C₂²	semidirect
62. C₇×#397	C₂²	semidirect
63. C₇×#397	C₂²	semidirect
64. C₇×#397	C₂²	semidirect
65. C₇×#397	C₂²	semidirect
66. C₇×#397	C₂²	semidirect
67. C₇×#397	C₂²	semidirect
68. C₇×#397	C₂²	semidirect
69. C₇×#397	C₂²	semidirect
70. C₇×#396	C₂²	semidirect
71. C₇×#396	C₂²	semidirect
72. C₇×#396	C₂²	semidirect
79. C₇×#394	C₂²	semidirect
80. C₇×#394	C₂²	semidirect
81. C₇×#394	C₂²	semidirect
82. C₇×#394	C₂²	semidirect
83. C₇×#393	C₂²	semidirect
84. C₇×#393	C₂²	semidirect
87. C₇×#391	C₂²	semidirect
88. C₇×#391	C₂²	semidirect
89. C₇×#390	C₂²	semidirect
90. C₇×#390	C₂²	semidirect
91. C₇×#390	C₂²	semidirect
92. C₇×#389	C₂²	semidirect
93. C₇×#389	C₂²	semidirect
94. C₇×#389	C₂²	semidirect
95. C₇×#388	C₂²	semidirect
96. C₇×#388	C₂²	semidirect
97. C₇×#388	C₂²	semidirect
98. C₇×#388	C₂²	semidirect
99. C₇×#388	C₂²	semidirect
100. C₇×#388	C₂²	semidirect
101. C₇×#388	C₂²	semidirect
102. C₇×#388	C₂²	semidirect
103. C₇×#388	C₂²	semidirect
104. C₇×#388	C₂²	semidirect
105. C₇×#388	C₂²	semidirect
106. C₇×#388	C₂²	semidirect
107. C₇×#388	C₂²	semidirect
108. C₇×#388	C₂²	semidirect
109. C₇×#388	C₂²	semidirect
110. C₇×#388	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×#387	C₂²	semidirect
117. C₇×#387	C₂²	semidirect
118. C₇×#387	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
141. C₇×#386	C₂²	semidirect
142. C₇×#386	C₂²	semidirect
143. C₇×#386	C₂²	semidirect
144. C₇×#386	C₂²	semidirect
145. C₇×#386	C₂²	semidirect
152. C₇×#385	C₂²	semidirect
153. C₇×#385	C₂²	semidirect
154. C₇×#385	C₂²	semidirect
155. C₇×#385	C₂²	semidirect
156. C₇×#385	C₂²	semidirect
157. C₇×#383	C₂²	semidirect
158. C₇×#383	C₂²	semidirect
159. C₇×#382	C₂²	semidirect
160. C₇×#382	C₂²	semidirect
161. C₇×#381	C₂²	semidirect
162. C₇×#381	C₂²	semidirect
166. C₇×#380	C₂²	semidirect
167. C₇×#380	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
185. C₂×C₇×#95	C₂²	semidirect
186. C₂×C₇×#95	C₂²	semidirect
187. #34998	C₇	direct (N × H)
370. #2854	C₂×C₇	semidirect
371. #2853	C₂×C₇	semidirect
372. #2852	C₂×C₇	semidirect
373. #2850	C₂×C₇	semidirect
374. #2653	C₂×C₇	semidirect
375. #2649	C₂×C₇	semidirect
376. #2648	C₂×C₇	semidirect
377. #2648	C₂×C₇	semidirect
378. #2518	C₂×C₇	semidirect
379. #2518	C₂×C₇	semidirect
380. #2510	C₂×C₇	semidirect
381. #2510	C₂×C₇	semidirect
382. #2505	C₂×C₇	semidirect
383. #2488	C₂×C₇	semidirect
384. #2480	C₂×C₇	semidirect
385. #2472	C₂×C₇	semidirect
386. #2467	C₂×C₇	semidirect
387. #2459	C₂×C₇	semidirect
388. #2444	C₂×C₇	semidirect
389. #2437	C₂×C₇	semidirect
390. #2425	C₂×C₇	semidirect
391. #2412	C₂×C₇	semidirect
393. #2405	C₂×C₇	semidirect
394. #2329	C₂×C₇	semidirect
395. #2321	C₂×C₇	semidirect
396. #2318	C₂×C₇	semidirect
397. #2312	C₂×C₇	semidirect
398. C₄×#120	C₂×C₇	semidirect
399. C₂×#386	C₂×C₇	semidirect
400. C₂×C₄×C₂²⋊C₄	C₂×C₇	semidirect
607. C₂×#126	C₂²×C₇	semidirect
608. C₂×#124	C₂²×C₇	semidirect
611. C₂×#123	C₂²×C₇	semidirect
613. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
619. C₂×C₄×D₄	C₂²×C₇	semidirect
620. C₂×C₄×D₄	C₂²×C₇	semidirect
626. C₂²×C₄²	C₂²×C₇	semidirect
627. C₂²×C₄²	C₂²×C₇	semidirect
628. #401	C₂²×C₇	semidirect
629. #400	C₂²×C₇	semidirect
630. #400	C₂²×C₇	semidirect
631. #400	C₂²×C₇	semidirect
632. #400	C₂²×C₇	semidirect
633. #399	C₂²×C₇	semidirect
634. #398	C₂²×C₇	semidirect
635. #397	C₂²×C₇	semidirect
636. #397	C₂²×C₇	semidirect
637. #397	C₂²×C₇	semidirect
638. #397	C₂²×C₇	semidirect
639. #397	C₂²×C₇	semidirect
640. #397	C₂²×C₇	semidirect
641. #397	C₂²×C₇	semidirect
642. #397	C₂²×C₇	semidirect
643. #396	C₂²×C₇	semidirect
644. #396	C₂²×C₇	semidirect
645. #396	C₂²×C₇	semidirect
652. #394	C₂²×C₇	semidirect
653. #394	C₂²×C₇	semidirect
654. #394	C₂²×C₇	semidirect
655. #394	C₂²×C₇	semidirect
656. #393	C₂²×C₇	semidirect
657. #393	C₂²×C₇	semidirect
660. #391	C₂²×C₇	semidirect
661. #391	C₂²×C₇	semidirect
662. #390	C₂²×C₇	semidirect
663. #390	C₂²×C₇	semidirect
664. #390	C₂²×C₇	semidirect
665. #389	C₂²×C₇	semidirect
666. #389	C₂²×C₇	semidirect
667. #389	C₂²×C₇	semidirect
668. #388	C₂²×C₇	semidirect
669. #388	C₂²×C₇	semidirect
670. #388	C₂²×C₇	semidirect
671. #388	C₂²×C₇	semidirect
672. #388	C₂²×C₇	semidirect
673. #388	C₂²×C₇	semidirect
674. #388	C₂²×C₇	semidirect
675. #388	C₂²×C₇	semidirect
676. #388	C₂²×C₇	semidirect
677. #388	C₂²×C₇	semidirect
678. #388	C₂²×C₇	semidirect
679. #388	C₂²×C₇	semidirect
680. #388	C₂²×C₇	semidirect
681. #388	C₂²×C₇	semidirect
682. #388	C₂²×C₇	semidirect
683. #388	C₂²×C₇	semidirect
684. #388	C₂²×C₇	semidirect
685. #388	C₂²×C₇	semidirect
686. #388	C₂²×C₇	semidirect
687. #388	C₂²×C₇	semidirect
688. #388	C₂²×C₇	semidirect
689. #387	C₂²×C₇	semidirect
690. #387	C₂²×C₇	semidirect
691. #387	C₂²×C₇	semidirect
692. #387	C₂²×C₇	semidirect
693. #387	C₂²×C₇	semidirect
694. #387	C₂²×C₇	semidirect
695. #387	C₂²×C₇	semidirect
696. #387	C₂²×C₇	semidirect
697. #387	C₂²×C₇	semidirect
714. #386	C₂²×C₇	semidirect
715. #386	C₂²×C₇	semidirect
716. #386	C₂²×C₇	semidirect
717. #386	C₂²×C₇	semidirect
718. #386	C₂²×C₇	semidirect
725. #385	C₂²×C₇	semidirect
726. #385	C₂²×C₇	semidirect
727. #385	C₂²×C₇	semidirect
728. #385	C₂²×C₇	semidirect
729. #385	C₂²×C₇	semidirect
730. #383	C₂²×C₇	semidirect
731. #383	C₂²×C₇	semidirect
732. #382	C₂²×C₇	semidirect
733. #382	C₂²×C₇	semidirect
734. #381	C₂²×C₇	semidirect
735. #381	C₂²×C₇	semidirect
739. #380	C₂²×C₇	semidirect
740. #380	C₂²×C₇	semidirect
750. C₄×C₂²⋊C₄	C₂²×C₇	semidirect
751. C₄×C₂²⋊C₄	C₂²×C₇	semidirect
752. C₄×C₂²⋊C₄	C₂²×C₇	semidirect
753. C₄×C₂²⋊C₄	C₂²×C₇	semidirect
754. C₄×C₂²⋊C₄	C₂²×C₇	semidirect
755. C₄×C₂²⋊C₄	C₂²×C₇	semidirect
758. C₂×#95	C₂²×C₇	semidirect
759. C₂×#95	C₂²×C₇	semidirect
1547. C₇	#34998	direct (N × H)

Maximal subgroups

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

subgroup	index
C₇×#2854	2
C₇×#2853	2
C₇×#2852	2
C₇×#2850	2
C₇×#2653	2
C₇×#2649	2
C₇×#2648	2
C₇×#2518	2
C₇×#2510	2
C₇×#2505	2
C₇×#2488	2
C₇×#2480	2
C₇×#2472	2
C₇×#2467	2
C₇×#2459	2
C₇×#2444	2
C₇×#2437	2
C₇×#2425	2
C₇×#2412	2
C₇×#2410	2
C₇×#2405	2
C₇×#2329	2
C₇×#2321	2
C₇×#2318	2
C₇×#2312	2
C₄×C₇×#120	2
C₂×C₇×#386	2
C₂×C₄×C₇×C₂²⋊C₄	2
#34998	7

Subgroups — C7×#34998 #13212214

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#34998 #13212214