Subgroups — C₇×#36841 #13214057

Order 1792.

1958 conjugacy classes of subgroups.

The subgroup lattice has 1586 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#2849	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇×#2849	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#2790	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇×#2778	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇×#2765	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇×#2761	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇×#2753	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇×#2752	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇×#2743	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇×#2718	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇×#2709	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#2706	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#2701	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#2697	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#2691	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇×#2685	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇×#2685	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇×#2669	C₂	1	1	yes	maximal, characteristic
19	C₇×#2636	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇×#2630	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇×#2576	C₂	1	1	yes	maximal, characteristic, complemented
22	C₇×#2575	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇×#2554	C₂	1	1	yes	maximal, characteristic, complemented
24	C₇×#2553	C₂	1	1	yes	maximal, characteristic, complemented
25	C₇×#2468	C₂	1	1	yes	maximal, characteristic, complemented
26	C₇×#2457	C₂	1	1	yes	maximal, characteristic, complemented
27	C₇×#2445	C₂	1	1	yes	maximal, characteristic, complemented
28	C₇×#2422	C₂	1	1	yes	maximal, characteristic, complemented
29	C₇×#2334	C₂	1	1	yes	maximal, characteristic, complemented
30	C₇×#2333	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×C₇×#120	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂⁴×C₄×C₇	C₂²	1	1	yes	characteristic
33	C₂×C₇×#127	C₂²	1	1	yes	characteristic
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×#123	C₂²	1	1	yes	characteristic
38	C₂×C₇×#123	C₂²	1	1	yes	characteristic
39	C₂×C₇×#123	C₂²	1	1	yes	characteristic
40	C₂×C₇×#123	C₂²	1	1	yes	characteristic
41	C₂×C₇×#123	C₂²	1	1	yes	characteristic
42	C₂×C₇×#123	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₇×#121	C₂²	1	1	yes	characteristic
44	C₂×C₇×#121	C₂²	1	1	yes	characteristic
45	C₂×C₇×#120	C₂²	1	1	yes	characteristic
46	C₂×C₇×#120	C₂²	1	1	yes	characteristic
47	C₂×C₇×#120	C₂²	1	1	yes	characteristic
48	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
49	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
50	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
51	C₇×#401	C₂²	1	1	yes	characteristic, complemented
52	C₇×#400	C₂²	1	1	yes	characteristic, complemented
53	C₇×#400	C₂²	1	1	yes	characteristic, complemented
54	C₇×#400	C₂²	1	1	yes	characteristic, complemented
55	C₇×#400	C₂²	1	1	yes	characteristic, complemented
56	C₇×#399	C₂²	1	1	yes	characteristic
57	C₇×#399	C₂²	1	1	yes	characteristic
58	C₇×#399	C₂²	1	1	yes	characteristic, complemented
59	C₇×#398	C₂²	1	1	yes	characteristic, complemented
60	C₇×#398	C₂²	1	1	yes	characteristic, complemented
61	C₇×#398	C₂²	1	1	yes	characteristic, complemented
62	C₇×#398	C₂²	1	1	yes	characteristic, complemented
63	C₇×#398	C₂²	1	1	yes	characteristic, complemented
64	C₇×#397	C₂²	1	1	yes	characteristic
65	C₇×#397	C₂²	1	1	yes	characteristic
66	C₇×#397	C₂²	1	1	yes	characteristic, 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
71	C₇×#396	C₂²	1	1	yes	characteristic
72	C₇×#396	C₂²	1	1	yes	characteristic
73	C₇×#396	C₂²	1	1	yes	characteristic
74	C₇×#396	C₂²	1	1	yes	characteristic, complemented
75	C₇×#396	C₂²	1	1	yes	characteristic, complemented
76	C₇×#396	C₂²	1	1	yes	characteristic, complemented
77	C₇×#394	C₂²	1	1	yes	characteristic
78	C₇×#394	C₂²	1	1	yes	characteristic
79	C₇×#394	C₂²	1	1	yes	characteristic
80	C₇×#394	C₂²	1	1	yes	characteristic
81	C₇×#394	C₂²	1	1	yes	characteristic
82	C₇×#394	C₂²	1	1	yes	characteristic
83	C₇×#394	C₂²	1	1	yes	characteristic
84	C₇×#394	C₂²	1	1	yes	characteristic
85	C₇×#394	C₂²	1	1	yes	characteristic
86	C₇×#394	C₂²	1	1	yes	characteristic
87	C₇×#394	C₂²	1	1	yes	characteristic
88	C₇×#394	C₂²	1	1	yes	characteristic
89	C₇×#394	C₂²	1	1	yes	characteristic, complemented
90	C₇×#394	C₂²	1	1	yes	characteristic, complemented
91	C₇×#394	C₂²	1	1	yes	characteristic, complemented
92	C₇×#394	C₂²	1	1	yes	characteristic, complemented
93	C₇×#394	C₂²	1	1	yes	characteristic, complemented
94	C₇×#394	C₂²	1	1	yes	characteristic, complemented
95	C₇×#392	C₂²	1	1	yes	characteristic
96	C₇×#392	C₂²	1	1	yes	characteristic
97	C₇×#392	C₂²	1	1	yes	characteristic
98	C₇×#392	C₂²	1	1	yes	characteristic
99	C₇×#390	C₂²	1	1	yes	characteristic
100	C₇×#390	C₂²	1	1	yes	characteristic
101	C₇×#390	C₂²	1	1	yes	characteristic
102	C₇×#390	C₂²	1	1	yes	characteristic
103	C₇×#390	C₂²	1	1	yes	characteristic
104	C₇×#390	C₂²	1	1	yes	characteristic, complemented
105	C₇×#390	C₂²	1	1	yes	characteristic, complemented
106	C₇×#389	C₂²	1	1	yes	characteristic, complemented
107	C₇×#389	C₂²	1	1	yes	characteristic, complemented
108	C₇×#389	C₂²	1	1	yes	characteristic, complemented
109	C₇×#388	C₂²	1	1	yes	characteristic
110	C₇×#388	C₂²	1	1	yes	characteristic
111	C₇×#388	C₂²	1	1	yes	characteristic
112	C₇×#388	C₂²	1	1	yes	characteristic
113	C₇×#388	C₂²	1	1	yes	characteristic
114	C₇×#388	C₂²	1	1	yes	characteristic
115	C₇×#388	C₂²	1	1	yes	characteristic
116	C₇×#388	C₂²	1	1	yes	characteristic
117	C₇×#388	C₂²	1	1	yes	characteristic
118	C₇×#388	C₂²	1	1	yes	characteristic
119	C₇×#388	C₂²	1	1	yes	characteristic, complemented
120	C₇×#388	C₂²	1	1	yes	characteristic, complemented
121	C₇×#388	C₂²	1	1	yes	characteristic, complemented
122	C₇×#388	C₂²	1	1	yes	characteristic, complemented
123	C₇×#388	C₂²	1	1	yes	characteristic, complemented
124	C₇×#388	C₂²	1	1	yes	characteristic, complemented
125	C₇×#388	C₂²	1	1	yes	characteristic, complemented
126	C₇×#387	C₂²	1	1	yes	characteristic, complemented
127	C₇×#387	C₂²	1	1	yes	characteristic, complemented
128	C₇×#387	C₂²	1	1	yes	characteristic, complemented
129	C₇×#387	C₂²	1	1	yes	characteristic, complemented
130	C₇×#387	C₂²	1	1	yes	characteristic, complemented
131	C₇×#387	C₂²	1	1	yes	characteristic, complemented
132	C₇×#387	C₂²	1	1	yes	characteristic, complemented
133	C₇×#387	C₂²	1	1	yes	characteristic, complemented
134	C₇×#387	C₂²	1	1	yes	characteristic, complemented
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
142	C₇×#386	C₂²	1	1	yes	characteristic
143	C₇×#386	C₂²	1	1	yes	characteristic
144	C₇×#386	C₂²	1	1	yes	characteristic
145	C₇×#386	C₂²	1	1	yes	characteristic
146	C₇×#386	C₂²	1	1	yes	characteristic
147	C₇×#386	C₂²	1	1	yes	characteristic
148	C₇×#386	C₂²	1	1	yes	characteristic
149	C₇×#386	C₂²	1	1	yes	characteristic, complemented
150	C₇×#386	C₂²	1	1	yes	characteristic, complemented
151	C₇×#386	C₂²	1	1	yes	characteristic, complemented
152	C₇×#385	C₂²	1	1	yes	characteristic
153	C₇×#385	C₂²	1	1	yes	characteristic
154	C₇×#385	C₂²	1	1	yes	characteristic
155	C₇×#385	C₂²	1	1	yes	characteristic
156	C₇×#385	C₂²	1	1	yes	characteristic
157	C₇×#385	C₂²	1	1	yes	characteristic
158	C₇×#385	C₂²	1	1	yes	characteristic
159	C₇×#385	C₂²	1	1	yes	characteristic
160	C₇×#385	C₂²	1	1	yes	characteristic
161	C₇×#385	C₂²	1	1	yes	characteristic
162	C₇×#385	C₂²	1	1	yes	characteristic
163	C₇×#385	C₂²	1	1	yes	characteristic, complemented
164	C₇×#385	C₂²	1	1	yes	characteristic, complemented
165	C₇×#384	C₂²	1	1	yes	characteristic, complemented
166	C₇×#382	C₂²	1	1	yes	characteristic, complemented
167	C₇×#382	C₂²	1	1	yes	characteristic, complemented
168	C₇×#382	C₂²	1	1	yes	characteristic, complemented
169	C₇×#381	C₂²	1	1	yes	characteristic
170	C₇×#381	C₂²	1	1	yes	characteristic
171	C₇×#381	C₂²	1	1	yes	characteristic
172	C₇×#381	C₂²	1	1	yes	characteristic
173	C₇×#381	C₂²	1	1	yes	characteristic, complemented
174	C₇×#380	C₂²	1	1	yes	characteristic, complemented
175	C₇×#380	C₂²	1	1	yes	characteristic, complemented
176	C₇×#380	C₂²	1	1	yes	characteristic, complemented
177	C₇×#379	C₂²	1	1	yes	characteristic
178	C₇×#379	C₂²	1	1	yes	characteristic
179	C₇×#379	C₂²	1	1	yes	characteristic
180	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
181	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
182	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
183	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
184	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
185	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
186	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
187	#36841	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
188	C₂⁵×C₇	C₂³	1	1	yes	characteristic
189	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
190	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
191	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
192	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
193	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	C₂³×C₄×C₇	—	4	2	no	—
202	C₂³×C₄×C₇	—	4	2	no	—
203	C₂³×C₄×C₇	—	4	2	no	—
204	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
205	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
206	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
207	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
208	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
209	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	C₇×#127	—	4	2	no	—
214	C₇×#126	—	2	4	no	—
215	C₇×#126	—	4	2	no	—
216	C₇×#126	—	4	2	no	—
217	C₇×#123	—	4	2	no	—
218	C₇×#123	—	4	2	no	—
219	C₇×#123	—	4	2	no	—
220	C₇×#123	—	4	2	no	—
221	C₇×#123	—	4	2	no	—
222	C₇×#123	—	4	2	no	—
223	C₇×#121	—	2	4	no	—
224	C₇×#121	—	4	2	no	—
225	C₇×#120	—	2	4	no	—
226	C₇×#120	—	4	2	no	—
227	C₇×#120	—	4	2	no	—
228	C₄×C₇×D₄	—	4	2	no	—
229	C₄×C₇×D₄	—	4	2	no	—
230	C₄×C₇×D₄	—	4	2	no	—
231	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×C₇×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×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×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×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
314	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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	C₇×#95	C₂³	1	1	yes	characteristic
325	C₇×#95	C₂³	1	1	yes	characteristic
326	C₇×#95	C₂³	1	1	yes	characteristic
327	C₇×#95	C₂³	1	1	yes	characteristic
328	C₇×#95	C₂³	1	1	yes	characteristic
329	C₇×#95	C₂³	1	1	yes	characteristic
330	C₇×#95	C₂³	1	1	yes	characteristic
331	C₇×#95	C₂³	1	1	yes	characteristic
332	C₇×#95	C₂³	1	1	yes	characteristic
333	C₇×#95	C₂³	1	1	yes	characteristic
334	C₇×#95	C₂³	1	1	yes	characteristic
335	C₇×#95	C₂³	1	1	yes	characteristic
336	C₇×#95	C₂³	1	1	yes	characteristic
337	C₇×#95	C₂³	1	1	yes	characteristic
338	C₇×#95	C₂³	1	1	yes	characteristic
339	C₇×#95	C₂³	1	1	yes	characteristic
340	C₇×#95	C₂³	1	1	yes	characteristic
341	C₇×#95	C₂³	1	1	yes	characteristic
342	C₇×#95	C₂³	1	1	yes	characteristic
343	C₇×#95	C₂³	1	1	yes	characteristic
344	C₇×#95	C₂³	1	1	yes	characteristic
345	C₇×#95	C₂³	1	1	yes	characteristic
346	C₇×#95	C₂³	1	1	yes	characteristic
347	C₇×#95	C₂³	1	1	yes	characteristic
348	C₇×#95	C₂³	1	1	yes	characteristic
349	C₇×#95	C₂³	1	1	yes	characteristic
350	C₇×#95	C₂³	1	1	yes	characteristic
351	C₇×#95	C₂³	1	1	yes	characteristic
352	C₇×#95	C₂³	1	1	yes	characteristic
353	C₇×#95	C₂³	1	1	yes	characteristic
354	C₇×#95	C₂³	1	1	yes	characteristic
355	C₇×#95	C₂³	1	1	yes	characteristic
356	C₇×#95	C₂³	1	1	yes	characteristic
357	C₇×#95	C₂³	1	1	yes	characteristic
358	C₇×#95	C₂³	1	1	yes	characteristic
359	C₇×#95	C₂³	1	1	yes	characteristic
360	C₇×#95	C₂³	1	1	yes	characteristic
361	C₇×#95	C₂³	1	1	yes	characteristic
362	C₇×#95	C₂³	1	1	yes	characteristic
363	C₇×#95	C₂³	1	1	yes	characteristic
364	#2849	C₂×C₇	1	1	yes	characteristic, complemented
365	#2849	C₂×C₇	1	1	yes	characteristic, complemented
366	#2790	C₂×C₇	1	1	yes	characteristic, complemented
367	#2778	C₂×C₇	1	1	yes	characteristic, complemented
368	#2765	C₂×C₇	1	1	yes	characteristic, complemented
369	#2761	C₂×C₇	1	1	yes	characteristic, complemented
370	#2753	C₂×C₇	1	1	yes	characteristic, complemented
371	#2752	C₂×C₇	1	1	yes	characteristic, complemented
372	#2743	C₂×C₇	1	1	yes	characteristic, complemented
373	#2718	C₂×C₇	1	1	yes	characteristic, complemented
374	#2709	C₂×C₇	1	1	yes	characteristic, complemented
375	#2706	C₂×C₇	1	1	yes	characteristic, complemented
376	#2701	C₂×C₇	1	1	yes	characteristic, complemented
377	#2697	C₂×C₇	1	1	yes	characteristic, complemented
378	#2691	C₂×C₇	1	1	yes	characteristic, complemented
379	#2685	C₂×C₇	1	1	yes	characteristic, complemented
380	#2685	C₂×C₇	1	1	yes	characteristic, complemented
381	#2669	C₂×C₇	1	1	yes	characteristic
382	#2636	C₂×C₇	1	1	yes	characteristic, complemented
383	#2630	C₂×C₇	1	1	yes	characteristic, complemented
384	#2576	C₂×C₇	1	1	yes	characteristic, complemented
385	#2575	C₂×C₇	1	1	yes	characteristic, complemented
386	#2554	C₂×C₇	1	1	yes	characteristic, complemented
387	#2553	C₂×C₇	1	1	yes	characteristic, complemented
388	#2468	C₂×C₇	1	1	yes	characteristic, complemented
389	#2457	C₂×C₇	1	1	yes	characteristic, complemented
390	#2445	C₂×C₇	1	1	yes	characteristic, complemented
391	#2422	C₂×C₇	1	1	yes	characteristic, complemented
392	#2334	C₂×C₇	1	1	yes	characteristic, complemented
393	#2333	C₂×C₇	1	1	yes	characteristic, complemented
394	C₄×#120	C₂×C₇	1	1	yes	characteristic, complemented
395	C₂⁴×C₇	—	2	2	no	—
396	C₂⁴×C₇	—	2	2	no	—
397	C₂⁴×C₇	—	2	2	no	—
398	C₂⁴×C₇	—	4	1	no	—
399	C₂⁴×C₇	—	4	1	no	—
400	C₂⁴×C₇	—	4	1	no	—
401	C₂⁴×C₇	—	4	1	no	—
402	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
403	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
404	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
405	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
406	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
407	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
408	C₂×C₇×D₄	—	2	2	no	—
409	C₂×C₇×D₄	—	2	2	no	—
410	C₂×C₇×D₄	—	2	2	no	—
411	C₂×C₇×D₄	—	2	2	no	—
412	C₂×C₇×D₄	—	2	2	no	—
413	C₂×C₇×D₄	—	2	2	no	—
414	C₂×C₇×D₄	—	2	2	no	—
415	C₂×C₇×D₄	—	2	2	no	—
416	C₂×C₇×D₄	—	2	2	no	—
417	C₂×C₇×D₄	—	2	2	no	—
418	C₂×C₇×D₄	—	2	2	no	—
419	C₂×C₇×D₄	—	2	2	no	—
420	C₂×C₇×D₄	—	4	1	no	—
421	C₂×C₇×D₄	—	4	1	no	—
422	C₂×C₇×D₄	—	4	1	no	—
423	C₂×C₇×D₄	—	4	1	no	—
424	C₂×C₇×D₄	—	4	1	no	—
425	C₂×C₇×D₄	—	4	1	no	—
426	C₂×C₇×D₄	—	4	1	no	—
427	C₂×C₇×D₄	—	4	1	no	—
428	C₂×C₇×D₄	—	4	1	no	—
429	C₂×C₇×D₄	—	4	1	no	—
430	C₂×C₇×D₄	—	4	1	no	—
431	C₂×C₇×D₄	—	4	1	no	—
432	C₂×C₇×D₄	—	4	1	no	—
433	C₂×C₇×D₄	—	4	1	no	—
434	C₂×C₇×D₄	—	4	1	no	—
435	C₂×C₇×D₄	—	4	1	no	—
436	C₂×C₇×D₄	—	4	1	no	—
437	C₂×C₇×D₄	—	4	1	no	—
438	C₂×C₇×D₄	—	4	1	no	—
439	C₂×C₇×D₄	—	4	1	no	—
440	C₂×C₇×D₄	—	4	1	no	—
441	C₂×C₇×D₄	—	4	1	no	—
442	C₂×C₇×D₄	—	4	1	no	—
443	C₂×C₇×D₄	—	4	1	no	—
444	C₂²×C₄×C₇	—	2	2	no	—
445	C₂²×C₄×C₇	—	2	2	no	—
446	C₂²×C₄×C₇	—	2	2	no	—
447	C₂²×C₄×C₇	—	2	2	no	—
448	C₂²×C₄×C₇	—	2	2	no	—
449	C₂²×C₄×C₇	—	2	2	no	—
450	C₂²×C₄×C₇	—	2	2	no	—
451	C₂²×C₄×C₇	—	2	2	no	—
452	C₂²×C₄×C₇	—	2	2	no	—
453	C₂²×C₄×C₇	—	4	1	no	—
454	C₂²×C₄×C₇	—	4	1	no	—
455	C₂²×C₄×C₇	—	4	1	no	—
456	C₂²×C₄×C₇	—	4	1	no	—
457	C₂²×C₄×C₇	—	4	1	no	—
458	C₂²×C₄×C₇	—	4	1	no	—
459	C₂²×C₄×C₇	—	4	1	no	—
460	C₂²×C₄×C₇	—	4	1	no	—
461	C₂²×C₄×C₇	—	4	1	no	—
462	C₂²×C₄×C₇	—	4	1	no	—
463	C₂²×C₄×C₇	—	4	1	no	—
464	C₂²×C₄×C₇	—	4	1	no	—
465	C₂²×C₄×C₇	—	4	1	no	—
466	C₂²×C₄×C₇	—	4	1	no	—
467	C₂²×C₄×C₇	—	4	1	no	—
468	C₂²×C₄×C₇	—	4	1	no	—
469	C₂²×C₄×C₇	—	4	1	no	—
470	C₂²×C₄×C₇	—	4	1	no	—
471	C₂²×C₄×C₇	—	4	16	no	—
472	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
473	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
474	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
475	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
476	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
477	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
478	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
479	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
480	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
481	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
482	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
483	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
484	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
485	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
486	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
487	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
488	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
489	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
490	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
491	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
492	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
493	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
494	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
495	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
496	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
497	C₇×C₄⋊C₄	—	2	2	no	—
498	C₇×C₄⋊C₄	—	2	2	no	—
499	C₇×C₄⋊C₄	—	2	2	no	—
500	C₇×C₄⋊C₄	—	2	2	no	—
501	C₇×C₄⋊C₄	—	2	2	no	—
502	C₇×C₄⋊C₄	—	2	2	no	—
503	C₇×C₄⋊C₄	—	4	1	no	—
504	C₇×C₄⋊C₄	—	4	1	no	—
505	C₇×C₄⋊C₄	—	4	1	no	—
506	C₇×C₄⋊C₄	—	4	1	no	—
507	C₇×C₄⋊C₄	—	4	1	no	—
508	C₇×C₄⋊C₄	—	4	1	no	—
509	C₇×C₄⋊C₄	—	4	1	no	—
510	C₇×C₄⋊C₄	—	4	1	no	—
511	C₇×C₄⋊C₄	—	4	1	no	—
512	C₇×C₄⋊C₄	—	4	1	no	—
513	C₇×C₄⋊C₄	—	4	1	no	—
514	C₇×C₄⋊C₄	—	4	1	no	—
515	C₇×C₄⋊C₄	—	4	1	no	—
516	C₇×C₄⋊C₄	—	4	1	no	—
517	C₇×C₄⋊C₄	—	4	1	no	—
518	C₇×C₄⋊C₄	—	4	1	no	—
519	C₇×C₄⋊C₄	—	4	1	no	—
520	C₇×C₄⋊C₄	—	4	1	no	—
521	C₇×C₄⋊C₄	—	4	1	no	—
522	C₇×C₄⋊C₄	—	4	1	no	—
523	C₇×C₄⋊C₄	—	4	1	no	—
524	C₇×C₄⋊C₄	—	4	1	no	—
525	C₇×C₄⋊C₄	—	4	1	no	—
526	C₇×C₄⋊C₄	—	4	1	no	—
527	C₇×C₂²⋊C₄	—	2	2	no	—
528	C₇×C₂²⋊C₄	—	2	2	no	—
529	C₇×C₂²⋊C₄	—	2	2	no	—
530	C₇×C₂²⋊C₄	—	2	2	no	—
531	C₇×C₂²⋊C₄	—	2	2	no	—
532	C₇×C₂²⋊C₄	—	2	2	no	—
533	C₇×C₂²⋊C₄	—	2	2	no	—
534	C₇×C₂²⋊C₄	—	2	2	no	—
535	C₇×C₂²⋊C₄	—	2	2	no	—
536	C₇×C₂²⋊C₄	—	2	2	no	—
537	C₇×C₂²⋊C₄	—	2	2	no	—
538	C₇×C₂²⋊C₄	—	2	2	no	—
539	C₇×C₂²⋊C₄	—	2	2	no	—
540	C₇×C₂²⋊C₄	—	4	1	no	—
541	C₇×C₂²⋊C₄	—	4	1	no	—
542	C₇×C₂²⋊C₄	—	4	1	no	—
543	C₇×C₂²⋊C₄	—	4	1	no	—
544	C₇×C₂²⋊C₄	—	4	1	no	—
545	C₇×C₂²⋊C₄	—	4	1	no	—
546	C₇×C₂²⋊C₄	—	4	1	no	—
547	C₇×C₂²⋊C₄	—	4	1	no	—
548	C₇×C₂²⋊C₄	—	4	1	no	—
549	C₇×C₂²⋊C₄	—	4	1	no	—
550	C₇×C₂²⋊C₄	—	4	1	no	—
551	C₇×C₂²⋊C₄	—	4	1	no	—
552	C₇×C₂²⋊C₄	—	4	1	no	—
553	C₇×C₂²⋊C₄	—	4	1	no	—
554	C₇×C₂²⋊C₄	—	4	1	no	—
555	C₇×C₂²⋊C₄	—	4	1	no	—
556	C₇×C₂²⋊C₄	—	4	1	no	—
557	C₇×C₂²⋊C₄	—	4	1	no	—
558	C₇×C₂²⋊C₄	—	4	1	no	—
559	C₇×C₂²⋊C₄	—	4	1	no	—
560	C₇×C₂²⋊C₄	—	4	1	no	—
561	C₇×C₂²⋊C₄	—	4	1	no	—
562	C₇×C₂²⋊C₄	—	4	1	no	—
563	C₇×C₂²⋊C₄	—	4	1	no	—
564	C₇×C₂²⋊C₄	—	4	1	no	—
565	C₇×C₂²⋊C₄	—	4	1	no	—
566	C₇×C₂²⋊C₄	—	4	1	no	—
567	C₇×C₂²⋊C₄	—	4	1	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	#41	1	4	yes	—
581	C₄²×C₇	—	2	2	no	—
582	C₄²×C₇	—	2	2	no	—
583	C₄²×C₇	—	4	1	no	—
584	C₄²×C₇	—	4	1	no	—
585	C₄²×C₇	—	4	1	no	—
586	C₄²×C₇	—	4	1	no	—
587	C₄²×C₇	—	4	1	no	—
588	C₄²×C₇	—	4	1	no	—
589	C₄²×C₇	—	4	1	no	—
590	C₂⁴×C₄	C₂²×C₇	1	1	yes	characteristic
591	C₂×#127	C₂²×C₇	1	1	yes	characteristic
592	C₂×#126	C₂²×C₇	1	1	yes	characteristic
593	C₂×#126	C₂²×C₇	1	1	yes	characteristic
594	C₂×#126	C₂²×C₇	1	1	yes	characteristic, complemented
595	C₂×#123	C₂²×C₇	1	1	yes	characteristic
596	C₂×#123	C₂²×C₇	1	1	yes	characteristic
597	C₂×#123	C₂²×C₇	1	1	yes	characteristic
598	C₂×#123	C₂²×C₇	1	1	yes	characteristic
599	C₂×#123	C₂²×C₇	1	1	yes	characteristic
600	C₂×#123	C₂²×C₇	1	1	yes	characteristic, complemented
601	C₂×#121	C₂²×C₇	1	1	yes	characteristic
602	C₂×#121	C₂²×C₇	1	1	yes	characteristic
603	C₂×#120	C₂²×C₇	1	1	yes	characteristic
604	C₂×#120	C₂²×C₇	1	1	yes	characteristic
605	C₂×#120	C₂²×C₇	1	1	yes	characteristic
606	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
607	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
608	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
609	#401	C₂²×C₇	1	1	yes	characteristic, complemented
610	#400	C₂²×C₇	1	1	yes	characteristic, complemented
611	#400	C₂²×C₇	1	1	yes	characteristic, complemented
612	#400	C₂²×C₇	1	1	yes	characteristic, complemented
613	#400	C₂²×C₇	1	1	yes	characteristic, complemented
614	#399	C₂²×C₇	1	1	yes	characteristic
615	#399	C₂²×C₇	1	1	yes	characteristic
616	#399	C₂²×C₇	1	1	yes	characteristic, complemented
617	#398	C₂²×C₇	1	1	yes	characteristic, complemented
618	#398	C₂²×C₇	1	1	yes	characteristic, complemented
619	#398	C₂²×C₇	1	1	yes	characteristic, complemented
620	#398	C₂²×C₇	1	1	yes	characteristic, complemented
621	#398	C₂²×C₇	1	1	yes	characteristic, complemented
622	#397	C₂²×C₇	1	1	yes	characteristic
623	#397	C₂²×C₇	1	1	yes	characteristic
624	#397	C₂²×C₇	1	1	yes	characteristic, complemented
625	#397	C₂²×C₇	1	1	yes	characteristic, complemented
626	#397	C₂²×C₇	1	1	yes	characteristic, complemented
627	#397	C₂²×C₇	1	1	yes	characteristic, complemented
628	#396	C₂²×C₇	1	1	yes	characteristic
629	#396	C₂²×C₇	1	1	yes	characteristic
630	#396	C₂²×C₇	1	1	yes	characteristic
631	#396	C₂²×C₇	1	1	yes	characteristic
632	#396	C₂²×C₇	1	1	yes	characteristic, complemented
633	#396	C₂²×C₇	1	1	yes	characteristic, complemented
634	#396	C₂²×C₇	1	1	yes	characteristic, complemented
635	#394	C₂²×C₇	1	1	yes	characteristic
636	#394	C₂²×C₇	1	1	yes	characteristic
637	#394	C₂²×C₇	1	1	yes	characteristic
638	#394	C₂²×C₇	1	1	yes	characteristic
639	#394	C₂²×C₇	1	1	yes	characteristic
640	#394	C₂²×C₇	1	1	yes	characteristic
641	#394	C₂²×C₇	1	1	yes	characteristic
642	#394	C₂²×C₇	1	1	yes	characteristic
643	#394	C₂²×C₇	1	1	yes	characteristic
644	#394	C₂²×C₇	1	1	yes	characteristic
645	#394	C₂²×C₇	1	1	yes	characteristic
646	#394	C₂²×C₇	1	1	yes	characteristic
647	#394	C₂²×C₇	1	1	yes	characteristic, complemented
648	#394	C₂²×C₇	1	1	yes	characteristic, complemented
649	#394	C₂²×C₇	1	1	yes	characteristic, complemented
650	#394	C₂²×C₇	1	1	yes	characteristic, complemented
651	#394	C₂²×C₇	1	1	yes	characteristic, complemented
652	#394	C₂²×C₇	1	1	yes	characteristic, complemented
653	#392	C₂²×C₇	1	1	yes	characteristic
654	#392	C₂²×C₇	1	1	yes	characteristic
655	#392	C₂²×C₇	1	1	yes	characteristic
656	#392	C₂²×C₇	1	1	yes	characteristic
657	#390	C₂²×C₇	1	1	yes	characteristic
658	#390	C₂²×C₇	1	1	yes	characteristic
659	#390	C₂²×C₇	1	1	yes	characteristic
660	#390	C₂²×C₇	1	1	yes	characteristic
661	#390	C₂²×C₇	1	1	yes	characteristic
662	#390	C₂²×C₇	1	1	yes	characteristic, complemented
663	#390	C₂²×C₇	1	1	yes	characteristic, complemented
664	#389	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	#388	C₂²×C₇	1	1	yes	characteristic
668	#388	C₂²×C₇	1	1	yes	characteristic
669	#388	C₂²×C₇	1	1	yes	characteristic
670	#388	C₂²×C₇	1	1	yes	characteristic
671	#388	C₂²×C₇	1	1	yes	characteristic
672	#388	C₂²×C₇	1	1	yes	characteristic
673	#388	C₂²×C₇	1	1	yes	characteristic
674	#388	C₂²×C₇	1	1	yes	characteristic
675	#388	C₂²×C₇	1	1	yes	characteristic
676	#388	C₂²×C₇	1	1	yes	characteristic
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	#387	C₂²×C₇	1	1	yes	characteristic, complemented
685	#387	C₂²×C₇	1	1	yes	characteristic, complemented
686	#387	C₂²×C₇	1	1	yes	characteristic, complemented
687	#387	C₂²×C₇	1	1	yes	characteristic, complemented
688	#387	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	#386	C₂²×C₇	1	1	yes	characteristic
694	#386	C₂²×C₇	1	1	yes	characteristic
695	#386	C₂²×C₇	1	1	yes	characteristic
696	#386	C₂²×C₇	1	1	yes	characteristic
697	#386	C₂²×C₇	1	1	yes	characteristic
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, complemented
708	#386	C₂²×C₇	1	1	yes	characteristic, complemented
709	#386	C₂²×C₇	1	1	yes	characteristic, complemented
710	#385	C₂²×C₇	1	1	yes	characteristic
711	#385	C₂²×C₇	1	1	yes	characteristic
712	#385	C₂²×C₇	1	1	yes	characteristic
713	#385	C₂²×C₇	1	1	yes	characteristic
714	#385	C₂²×C₇	1	1	yes	characteristic
715	#385	C₂²×C₇	1	1	yes	characteristic
716	#385	C₂²×C₇	1	1	yes	characteristic
717	#385	C₂²×C₇	1	1	yes	characteristic
718	#385	C₂²×C₇	1	1	yes	characteristic
719	#385	C₂²×C₇	1	1	yes	characteristic
720	#385	C₂²×C₇	1	1	yes	characteristic
721	#385	C₂²×C₇	1	1	yes	characteristic, complemented
722	#385	C₂²×C₇	1	1	yes	characteristic, complemented
723	#384	C₂²×C₇	1	1	yes	characteristic, complemented
724	#382	C₂²×C₇	1	1	yes	characteristic, complemented
725	#382	C₂²×C₇	1	1	yes	characteristic, complemented
726	#382	C₂²×C₇	1	1	yes	characteristic, complemented
727	#381	C₂²×C₇	1	1	yes	characteristic
728	#381	C₂²×C₇	1	1	yes	characteristic
729	#381	C₂²×C₇	1	1	yes	characteristic
730	#381	C₂²×C₇	1	1	yes	characteristic
731	#381	C₂²×C₇	1	1	yes	characteristic, complemented
732	#380	C₂²×C₇	1	1	yes	characteristic, complemented
733	#380	C₂²×C₇	1	1	yes	characteristic, complemented
734	#380	C₂²×C₇	1	1	yes	characteristic, complemented
735	#379	C₂²×C₇	1	1	yes	characteristic
736	#379	C₂²×C₇	1	1	yes	characteristic
737	#379	C₂²×C₇	1	1	yes	characteristic
738	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
739	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
740	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
741	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
742	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
743	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
744	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
745	C₂³×C₇	—	2	1	no	—
746	C₂³×C₇	—	2	1	no	—
747	C₂³×C₇	—	2	1	no	—
748	C₂³×C₇	—	2	1	no	—
749	C₂³×C₇	—	2	1	no	—
750	C₂³×C₇	—	2	1	no	—
751	C₂³×C₇	—	2	1	no	—
752	C₂³×C₇	—	2	1	no	—
753	C₂³×C₇	—	2	1	no	—
754	C₂³×C₇	—	2	1	no	—
755	C₂³×C₇	—	2	1	no	—
756	C₂³×C₇	—	2	1	no	—
757	C₂³×C₇	—	2	1	no	—
758	C₂³×C₇	—	2	1	no	—
759	C₂³×C₇	—	2	1	no	—
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	1	no	—
769	C₂³×C₇	—	2	1	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	—	4	4	no	—
785	C₂³×C₇	—	4	4	no	—
786	C₂³×C₇	—	4	4	no	—
787	C₂³×C₇	—	4	4	no	—
788	C₂³×C₇	—	4	4	no	—
789	C₂³×C₇	—	4	4	no	—
790	C₂³×C₇	—	4	4	no	—
791	C₂³×C₇	C₂×#41	1	2	yes	—
792	C₂³×C₇	H(5,𝔽₂)	1	2	yes	—
793	C₂³×C₇	H(5,𝔽₂)	1	2	yes	—
794	C₂³×C₇	C₂⁵	1	1	yes	characteristic
795	C₇×D₄	—	4	4	no	—
796	C₇×D₄	—	4	4	no	—
797	C₇×D₄	—	4	4	no	—
798	C₇×D₄	—	8	2	no	—
799	C₇×D₄	—	8	2	no	—
800	C₇×D₄	—	8	2	no	—
801	C₇×D₄	—	8	2	no	—
802	C₇×D₄	—	8	2	no	—
803	C₇×D₄	—	8	2	no	—
804	C₇×D₄	—	8	2	no	—
805	C₇×D₄	—	8	2	no	—
806	C₇×D₄	—	8	2	no	—
807	C₂×C₄×C₇	—	2	1	no	—
808	C₂×C₄×C₇	—	2	1	no	—
809	C₂×C₄×C₇	—	2	1	no	—
810	C₂×C₄×C₇	—	2	1	no	—
811	C₂×C₄×C₇	—	2	1	no	—
812	C₂×C₄×C₇	—	2	1	no	—
813	C₂×C₄×C₇	—	2	1	no	—
814	C₂×C₄×C₇	—	2	1	no	—
815	C₂×C₄×C₇	—	2	1	no	—
816	C₂×C₄×C₇	—	2	1	no	—
817	C₂×C₄×C₇	—	2	1	no	—
818	C₂×C₄×C₇	—	2	1	no	—
819	C₂×C₄×C₇	—	2	1	no	—
820	C₂×C₄×C₇	—	2	1	no	—
821	C₂×C₄×C₇	—	2	1	no	—
822	C₂×C₄×C₇	—	2	1	no	—
823	C₂×C₄×C₇	—	2	1	no	—
824	C₂×C₄×C₇	—	2	1	no	—
825	C₂×C₄×C₇	—	2	1	no	—
826	C₂×C₄×C₇	—	2	1	no	—
827	C₂×C₄×C₇	—	2	1	no	—
828	C₂×C₄×C₇	—	2	1	no	—
829	C₂×C₄×C₇	—	2	1	no	—
830	C₂×C₄×C₇	—	2	1	no	—
831	C₂×C₄×C₇	—	2	1	no	—
832	C₂×C₄×C₇	—	2	1	no	—
833	C₂×C₄×C₇	—	2	1	no	—
834	C₂×C₄×C₇	—	2	1	no	—
835	C₂×C₄×C₇	—	2	1	no	—
836	C₂×C₄×C₇	—	2	1	no	—
837	C₂×C₄×C₇	—	2	1	no	—
838	C₂×C₄×C₇	—	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	—	4	4	no	—
880	C₂×C₄×C₇	—	4	4	no	—
881	C₂×C₄×C₇	—	4	4	no	—
882	C₂×C₄×C₇	—	4	4	no	—
883	C₂×C₄×C₇	—	4	4	no	—
884	C₂×C₄×C₇	—	4	4	no	—
885	C₂×C₄×C₇	—	8	2	no	—
886	C₂×C₄×C₇	—	8	2	no	—
887	C₂×C₄×C₇	—	8	2	no	—
888	C₂×C₄×C₇	C₂×#41	1	2	yes	—
889	C₂×C₄×C₇	C₂×#41	1	2	yes	—
890	C₂×C₄×C₇	H(5,𝔽₂)	1	2	yes	—
891	C₂⁵	C₂³×C₇	1	1	yes	characteristic
892	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
893	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
894	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
895	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
896	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
897	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
898	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
899	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
900	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
901	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
902	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
903	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
904	C₂³×C₄	—	4	2	no	—
905	C₂³×C₄	—	4	2	no	—
906	C₂³×C₄	—	4	2	no	—
907	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
908	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
909	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
910	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
911	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
912	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
913	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
914	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
915	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
916	#127	—	4	2	no	—
917	#126	—	2	4	no	—
918	#126	—	4	2	no	—
919	#126	—	4	2	no	—
920	#123	—	4	2	no	—
921	#123	—	4	2	no	—
922	#123	—	4	2	no	—
923	#123	—	4	2	no	—
924	#123	—	4	2	no	—
925	#123	—	4	2	no	—
926	#121	—	2	4	no	—
927	#121	—	4	2	no	—
928	#120	—	2	4	no	—
929	#120	—	4	2	no	—
930	#120	—	4	2	no	—
931	C₄×D₄	—	4	2	no	—
932	C₄×D₄	—	4	2	no	—
933	C₄×D₄	—	4	2	no	—
934	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
935	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
936	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
937	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
938	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
939	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
940	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
941	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
942	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
943	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
944	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
945	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
946	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
947	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
948	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
949	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
950	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
951	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
952	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
953	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
954	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
955	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
956	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
957	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
958	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
959	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
960	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
961	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
962	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
963	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
964	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
965	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
966	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
967	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
968	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
969	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
970	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
971	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
972	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
973	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
974	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
975	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
976	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
977	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
978	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
979	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
980	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
981	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
982	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
983	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
984	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
985	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
986	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
987	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
988	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
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×C₄²	C₂³×C₇	1	1	yes	characteristic
1019	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1020	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1021	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1022	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1023	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1024	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1025	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1026	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1027	#95	C₂³×C₇	1	1	yes	characteristic
1028	#95	C₂³×C₇	1	1	yes	characteristic
1029	#95	C₂³×C₇	1	1	yes	characteristic
1030	#95	C₂³×C₇	1	1	yes	characteristic
1031	#95	C₂³×C₇	1	1	yes	characteristic
1032	#95	C₂³×C₇	1	1	yes	characteristic
1033	#95	C₂³×C₇	1	1	yes	characteristic
1034	#95	C₂³×C₇	1	1	yes	characteristic
1035	#95	C₂³×C₇	1	1	yes	characteristic
1036	#95	C₂³×C₇	1	1	yes	characteristic
1037	#95	C₂³×C₇	1	1	yes	characteristic
1038	#95	C₂³×C₇	1	1	yes	characteristic
1039	#95	C₂³×C₇	1	1	yes	characteristic
1040	#95	C₂³×C₇	1	1	yes	characteristic
1041	#95	C₂³×C₇	1	1	yes	characteristic
1042	#95	C₂³×C₇	1	1	yes	characteristic
1043	#95	C₂³×C₇	1	1	yes	characteristic
1044	#95	C₂³×C₇	1	1	yes	characteristic
1045	#95	C₂³×C₇	1	1	yes	characteristic
1046	#95	C₂³×C₇	1	1	yes	characteristic
1047	#95	C₂³×C₇	1	1	yes	characteristic
1048	#95	C₂³×C₇	1	1	yes	characteristic
1049	#95	C₂³×C₇	1	1	yes	characteristic
1050	#95	C₂³×C₇	1	1	yes	characteristic
1051	#95	C₂³×C₇	1	1	yes	characteristic
1052	#95	C₂³×C₇	1	1	yes	characteristic
1053	#95	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	C₂²×C₇	—	2	2	no	—
1068	C₂²×C₇	—	2	2	no	—
1069	C₂²×C₇	—	2	2	no	—
1070	C₂²×C₇	—	2	2	no	—
1071	C₂²×C₇	—	2	2	no	—
1072	C₂²×C₇	—	2	2	no	—
1073	C₂²×C₇	—	2	2	no	—
1074	C₂²×C₇	—	2	2	no	—
1075	C₂²×C₇	—	2	2	no	—
1076	C₂²×C₇	—	4	16	no	—
1077	C₂²×C₇	—	4	1	no	—
1078	C₂²×C₇	—	4	1	no	—
1079	C₂²×C₇	—	4	1	no	—
1080	C₂²×C₇	—	4	1	no	—
1081	C₂²×C₇	—	4	1	no	—
1082	C₂²×C₇	—	4	1	no	—
1083	C₂²×C₇	—	4	1	no	—
1084	C₂²×C₇	—	4	1	no	—
1085	C₂²×C₇	—	4	1	no	—
1086	C₂²×C₇	—	4	1	no	—
1087	C₂²×C₇	—	4	1	no	—
1088	C₂²×C₇	—	4	1	no	—
1089	C₂²×C₇	—	4	1	no	—
1090	C₂²×C₇	—	4	1	no	—
1091	C₂²×C₇	—	4	1	no	—
1092	C₂²×C₇	—	4	1	no	—
1093	C₂²×C₇	—	4	1	no	—
1094	C₂²×C₇	—	4	1	no	—
1095	C₂²×C₇	—	4	1	no	—
1096	C₂²×C₇	—	4	1	no	—
1097	C₂²×C₇	—	4	1	no	—
1098	C₂²×C₇	—	4	1	no	—
1099	C₂²×C₇	—	4	1	no	—
1100	C₂²×C₇	—	4	1	no	—
1101	C₂²×C₇	—	4	1	no	—
1102	C₂²×C₇	—	4	1	no	—
1103	C₂²×C₇	—	4	1	no	—
1104	C₂²×C₇	—	4	1	no	—
1105	C₂²×C₇	—	4	1	no	—
1106	C₂²×C₇	—	4	1	no	—
1107	C₂²×C₇	—	4	1	no	—
1108	C₂²×C₇	—	4	1	no	—
1109	C₂²×C₇	—	4	1	no	—
1110	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
1111	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1112	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1113	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1114	C₂²×C₇	#585	1	1	yes	characteristic
1115	C₂²×C₇	#585	1	1	yes	characteristic
1116	C₂²×C₇	#585	1	1	yes	characteristic
1117	C₄×C₇	—	2	2	no	—
1118	C₄×C₇	—	2	2	no	—
1119	C₄×C₇	—	2	2	no	—
1120	C₄×C₇	—	4	1	no	—
1121	C₄×C₇	—	4	1	no	—
1122	C₄×C₇	—	4	1	no	—
1123	C₄×C₇	—	4	1	no	—
1124	C₄×C₇	—	4	1	no	—
1125	C₄×C₇	—	4	1	no	—
1126	C₄×C₇	—	4	1	no	—
1127	C₄×C₇	—	4	1	no	—
1128	C₄×C₇	—	4	1	no	—
1129	C₄×C₇	—	4	1	no	—
1130	C₄×C₇	—	4	1	no	—
1131	C₄×C₇	—	4	1	no	—
1132	C₄×C₇	—	4	1	no	—
1133	C₄×C₇	—	4	1	no	—
1134	C₄×C₇	—	4	1	no	—
1135	C₄×C₇	—	4	1	no	—
1136	C₄×C₇	—	4	1	no	—
1137	C₄×C₇	—	4	1	no	—
1138	C₄×C₇	—	4	1	no	—
1139	C₄×C₇	—	4	1	no	—
1140	C₄×C₇	—	4	1	no	—
1141	C₄×C₇	—	4	1	no	—
1142	C₂⁴	—	2	2	no	—
1143	C₂⁴	—	2	2	no	—
1144	C₂⁴	—	2	2	no	—
1145	C₂⁴	—	4	1	no	—
1146	C₂⁴	—	4	1	no	—
1147	C₂⁴	—	4	1	no	—
1148	C₂⁴	—	4	1	no	—
1149	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1150	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1151	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1152	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1153	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1154	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1155	C₂×D₄	—	2	2	no	—
1156	C₂×D₄	—	2	2	no	—
1157	C₂×D₄	—	2	2	no	—
1158	C₂×D₄	—	2	2	no	—
1159	C₂×D₄	—	2	2	no	—
1160	C₂×D₄	—	2	2	no	—
1161	C₂×D₄	—	2	2	no	—
1162	C₂×D₄	—	2	2	no	—
1163	C₂×D₄	—	2	2	no	—
1164	C₂×D₄	—	2	2	no	—
1165	C₂×D₄	—	2	2	no	—
1166	C₂×D₄	—	2	2	no	—
1167	C₂×D₄	—	4	1	no	—
1168	C₂×D₄	—	4	1	no	—
1169	C₂×D₄	—	4	1	no	—
1170	C₂×D₄	—	4	1	no	—
1171	C₂×D₄	—	4	1	no	—
1172	C₂×D₄	—	4	1	no	—
1173	C₂×D₄	—	4	1	no	—
1174	C₂×D₄	—	4	1	no	—
1175	C₂×D₄	—	4	1	no	—
1176	C₂×D₄	—	4	1	no	—
1177	C₂×D₄	—	4	1	no	—
1178	C₂×D₄	—	4	1	no	—
1179	C₂×D₄	—	4	1	no	—
1180	C₂×D₄	—	4	1	no	—
1181	C₂×D₄	—	4	1	no	—
1182	C₂×D₄	—	4	1	no	—
1183	C₂×D₄	—	4	1	no	—
1184	C₂×D₄	—	4	1	no	—
1185	C₂×D₄	—	4	1	no	—
1186	C₂×D₄	—	4	1	no	—
1187	C₂×D₄	—	4	1	no	—
1188	C₂×D₄	—	4	1	no	—
1189	C₂×D₄	—	4	1	no	—
1190	C₂×D₄	—	4	1	no	—
1191	C₂²×C₄	—	2	2	no	—
1192	C₂²×C₄	—	2	2	no	—
1193	C₂²×C₄	—	2	2	no	—
1194	C₂²×C₄	—	2	2	no	—
1195	C₂²×C₄	—	2	2	no	—
1196	C₂²×C₄	—	2	2	no	—
1197	C₂²×C₄	—	2	2	no	—
1198	C₂²×C₄	—	2	2	no	—
1199	C₂²×C₄	—	2	2	no	—
1200	C₂²×C₄	—	4	1	no	—
1201	C₂²×C₄	—	4	1	no	—
1202	C₂²×C₄	—	4	1	no	—
1203	C₂²×C₄	—	4	1	no	—
1204	C₂²×C₄	—	4	1	no	—
1205	C₂²×C₄	—	4	1	no	—
1206	C₂²×C₄	—	4	1	no	—
1207	C₂²×C₄	—	4	1	no	—
1208	C₂²×C₄	—	4	1	no	—
1209	C₂²×C₄	—	4	1	no	—
1210	C₂²×C₄	—	4	1	no	—
1211	C₂²×C₄	—	4	1	no	—
1212	C₂²×C₄	—	4	1	no	—
1213	C₂²×C₄	—	4	1	no	—
1214	C₂²×C₄	—	4	1	no	—
1215	C₂²×C₄	—	4	1	no	—
1216	C₂²×C₄	—	4	1	no	—
1217	C₂²×C₄	—	4	1	no	—
1218	C₂²×C₄	—	4	16	no	—
1219	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1220	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1221	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1222	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1223	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1224	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1225	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1226	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1227	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1228	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1229	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1230	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1231	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1232	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1233	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1234	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1235	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1236	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1237	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1238	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1239	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1240	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1241	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1242	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1243	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1244	C₄⋊C₄	—	2	2	no	—
1245	C₄⋊C₄	—	2	2	no	—
1246	C₄⋊C₄	—	2	2	no	—
1247	C₄⋊C₄	—	2	2	no	—
1248	C₄⋊C₄	—	2	2	no	—
1249	C₄⋊C₄	—	2	2	no	—
1250	C₄⋊C₄	—	4	1	no	—
1251	C₄⋊C₄	—	4	1	no	—
1252	C₄⋊C₄	—	4	1	no	—
1253	C₄⋊C₄	—	4	1	no	—
1254	C₄⋊C₄	—	4	1	no	—
1255	C₄⋊C₄	—	4	1	no	—
1256	C₄⋊C₄	—	4	1	no	—
1257	C₄⋊C₄	—	4	1	no	—
1258	C₄⋊C₄	—	4	1	no	—
1259	C₄⋊C₄	—	4	1	no	—
1260	C₄⋊C₄	—	4	1	no	—
1261	C₄⋊C₄	—	4	1	no	—
1262	C₄⋊C₄	—	4	1	no	—
1263	C₄⋊C₄	—	4	1	no	—
1264	C₄⋊C₄	—	4	1	no	—
1265	C₄⋊C₄	—	4	1	no	—
1266	C₄⋊C₄	—	4	1	no	—
1267	C₄⋊C₄	—	4	1	no	—
1268	C₄⋊C₄	—	4	1	no	—
1269	C₄⋊C₄	—	4	1	no	—
1270	C₄⋊C₄	—	4	1	no	—
1271	C₄⋊C₄	—	4	1	no	—
1272	C₄⋊C₄	—	4	1	no	—
1273	C₄⋊C₄	—	4	1	no	—
1274	C₂²⋊C₄	—	2	2	no	—
1275	C₂²⋊C₄	—	2	2	no	—
1276	C₂²⋊C₄	—	2	2	no	—
1277	C₂²⋊C₄	—	2	2	no	—
1278	C₂²⋊C₄	—	2	2	no	—
1279	C₂²⋊C₄	—	2	2	no	—
1280	C₂²⋊C₄	—	2	2	no	—
1281	C₂²⋊C₄	—	2	2	no	—
1282	C₂²⋊C₄	—	2	2	no	—
1283	C₂²⋊C₄	—	2	2	no	—
1284	C₂²⋊C₄	—	2	2	no	—
1285	C₂²⋊C₄	—	2	2	no	—
1286	C₂²⋊C₄	—	2	2	no	—
1287	C₂²⋊C₄	—	4	1	no	—
1288	C₂²⋊C₄	—	4	1	no	—
1289	C₂²⋊C₄	—	4	1	no	—
1290	C₂²⋊C₄	—	4	1	no	—
1291	C₂²⋊C₄	—	4	1	no	—
1292	C₂²⋊C₄	—	4	1	no	—
1293	C₂²⋊C₄	—	4	1	no	—
1294	C₂²⋊C₄	—	4	1	no	—
1295	C₂²⋊C₄	—	4	1	no	—
1296	C₂²⋊C₄	—	4	1	no	—
1297	C₂²⋊C₄	—	4	1	no	—
1298	C₂²⋊C₄	—	4	1	no	—
1299	C₂²⋊C₄	—	4	1	no	—
1300	C₂²⋊C₄	—	4	1	no	—
1301	C₂²⋊C₄	—	4	1	no	—
1302	C₂²⋊C₄	—	4	1	no	—
1303	C₂²⋊C₄	—	4	1	no	—
1304	C₂²⋊C₄	—	4	1	no	—
1305	C₂²⋊C₄	—	4	1	no	—
1306	C₂²⋊C₄	—	4	1	no	—
1307	C₂²⋊C₄	—	4	1	no	—
1308	C₂²⋊C₄	—	4	1	no	—
1309	C₂²⋊C₄	—	4	1	no	—
1310	C₂²⋊C₄	—	4	1	no	—
1311	C₂²⋊C₄	—	4	1	no	—
1312	C₂²⋊C₄	—	4	1	no	—
1313	C₂²⋊C₄	—	4	1	no	—
1314	C₂²⋊C₄	—	4	1	no	—
1315	C₂²⋊C₄	—	4	1	no	—
1316	C₂²⋊C₄	—	4	1	no	—
1317	C₂²⋊C₄	—	4	1	no	—
1318	C₂²⋊C₄	—	4	1	no	—
1319	C₂²⋊C₄	—	4	1	no	—
1320	C₂²⋊C₄	—	4	1	no	—
1321	C₂²⋊C₄	—	4	1	no	—
1322	C₂²⋊C₄	—	4	1	no	—
1323	C₂²⋊C₄	—	4	1	no	—
1324	C₂²⋊C₄	—	4	1	no	—
1325	C₂²⋊C₄	—	4	1	no	—
1326	C₂²⋊C₄	—	4	1	no	—
1327	C₂²⋊C₄	C₇×#41	1	4	yes	—
1328	C₄²	—	2	2	no	—
1329	C₄²	—	2	2	no	—
1330	C₄²	—	4	1	no	—
1331	C₄²	—	4	1	no	—
1332	C₄²	—	4	1	no	—
1333	C₄²	—	4	1	no	—
1334	C₄²	—	4	1	no	—
1335	C₄²	—	4	1	no	—
1336	C₄²	—	4	1	no	—
1337	C₂×C₇	—	4	2	no	—
1338	C₂×C₇	—	4	2	no	—
1339	C₂×C₇	—	4	2	no	—
1340	C₂×C₇	—	8	1	no	—
1341	C₂×C₇	—	8	1	no	—
1342	C₂×C₇	—	8	1	no	—
1343	C₂×C₇	#3460	1	1	yes	characteristic
1344	C₂×C₇	#3513	1	1	yes	characteristic
1345	C₂×C₇	#3513	1	1	yes	characteristic
1346	C₂×C₇	#3532	1	1	yes	characteristic
1347	C₂×C₇	#3533	1	1	yes	characteristic
1348	C₂×C₇	#3533	1	1	yes	characteristic
1349	C₂×C₇	#3539	1	1	yes	characteristic
1350	C₂³	—	2	1	no	—
1351	C₂³	—	2	1	no	—
1352	C₂³	—	2	1	no	—
1353	C₂³	—	2	1	no	—
1354	C₂³	—	2	1	no	—
1355	C₂³	—	2	1	no	—
1356	C₂³	—	2	1	no	—
1357	C₂³	—	2	1	no	—
1358	C₂³	—	2	1	no	—
1359	C₂³	—	2	1	no	—
1360	C₂³	—	2	1	no	—
1361	C₂³	—	2	1	no	—
1362	C₂³	—	2	1	no	—
1363	C₂³	—	2	1	no	—
1364	C₂³	—	2	1	no	—
1365	C₂³	—	2	1	no	—
1366	C₂³	—	2	1	no	—
1367	C₂³	—	2	1	no	—
1368	C₂³	—	2	1	no	—
1369	C₂³	—	2	1	no	—
1370	C₂³	—	2	1	no	—
1371	C₂³	—	2	1	no	—
1372	C₂³	—	2	1	no	—
1373	C₂³	—	2	1	no	—
1374	C₂³	—	2	1	no	—
1375	C₂³	—	2	1	no	—
1376	C₂³	—	2	1	no	—
1377	C₂³	—	2	1	no	—
1378	C₂³	—	2	1	no	—
1379	C₂³	—	2	1	no	—
1380	C₂³	—	2	1	no	—
1381	C₂³	—	2	1	no	—
1382	C₂³	—	2	1	no	—
1383	C₂³	—	2	1	no	—
1384	C₂³	—	2	1	no	—
1385	C₂³	—	2	1	no	—
1386	C₂³	—	2	1	no	—
1387	C₂³	—	2	1	no	—
1388	C₂³	—	2	1	no	—
1389	C₂³	—	4	4	no	—
1390	C₂³	—	4	4	no	—
1391	C₂³	—	4	4	no	—
1392	C₂³	—	4	4	no	—
1393	C₂³	—	4	4	no	—
1394	C₂³	—	4	4	no	—
1395	C₂³	—	4	4	no	—
1396	C₂³	C₂×C₇×#41	1	2	yes	—
1397	C₂³	C₇×H(5,𝔽₂)	1	2	yes	—
1398	C₂³	C₇×H(5,𝔽₂)	1	2	yes	—
1399	C₂³	C₂⁵×C₇	1	1	yes	characteristic
1400	D₄	—	4	4	no	—
1401	D₄	—	4	4	no	—
1402	D₄	—	4	4	no	—
1403	D₄	—	8	2	no	—
1404	D₄	—	8	2	no	—
1405	D₄	—	8	2	no	—
1406	D₄	—	8	2	no	—
1407	D₄	—	8	2	no	—
1408	D₄	—	8	2	no	—
1409	D₄	—	8	2	no	—
1410	D₄	—	8	2	no	—
1411	D₄	—	8	2	no	—
1412	C₂×C₄	—	2	1	no	—
1413	C₂×C₄	—	2	1	no	—
1414	C₂×C₄	—	2	1	no	—
1415	C₂×C₄	—	2	1	no	—
1416	C₂×C₄	—	2	1	no	—
1417	C₂×C₄	—	2	1	no	—
1418	C₂×C₄	—	2	1	no	—
1419	C₂×C₄	—	2	1	no	—
1420	C₂×C₄	—	2	1	no	—
1421	C₂×C₄	—	2	1	no	—
1422	C₂×C₄	—	2	1	no	—
1423	C₂×C₄	—	2	1	no	—
1424	C₂×C₄	—	2	1	no	—
1425	C₂×C₄	—	2	1	no	—
1426	C₂×C₄	—	2	1	no	—
1427	C₂×C₄	—	2	1	no	—
1428	C₂×C₄	—	2	1	no	—
1429	C₂×C₄	—	2	1	no	—
1430	C₂×C₄	—	2	1	no	—
1431	C₂×C₄	—	2	1	no	—
1432	C₂×C₄	—	2	1	no	—
1433	C₂×C₄	—	2	1	no	—
1434	C₂×C₄	—	2	1	no	—
1435	C₂×C₄	—	2	1	no	—
1436	C₂×C₄	—	2	1	no	—
1437	C₂×C₄	—	2	1	no	—
1438	C₂×C₄	—	2	1	no	—
1439	C₂×C₄	—	2	1	no	—
1440	C₂×C₄	—	2	1	no	—
1441	C₂×C₄	—	2	1	no	—
1442	C₂×C₄	—	2	1	no	—
1443	C₂×C₄	—	2	1	no	—
1444	C₂×C₄	—	2	1	no	—
1445	C₂×C₄	—	2	1	no	—
1446	C₂×C₄	—	2	1	no	—
1447	C₂×C₄	—	2	1	no	—
1448	C₂×C₄	—	2	1	no	—
1449	C₂×C₄	—	2	1	no	—
1450	C₂×C₄	—	2	1	no	—
1451	C₂×C₄	—	2	1	no	—
1452	C₂×C₄	—	2	1	no	—
1453	C₂×C₄	—	2	1	no	—
1454	C₂×C₄	—	2	1	no	—
1455	C₂×C₄	—	2	1	no	—
1456	C₂×C₄	—	2	1	no	—
1457	C₂×C₄	—	2	1	no	—
1458	C₂×C₄	—	2	1	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	—	4	4	no	—
1485	C₂×C₄	—	4	4	no	—
1486	C₂×C₄	—	4	4	no	—
1487	C₂×C₄	—	4	4	no	—
1488	C₂×C₄	—	4	4	no	—
1489	C₂×C₄	—	4	4	no	—
1490	C₂×C₄	—	8	2	no	—
1491	C₂×C₄	—	8	2	no	—
1492	C₂×C₄	—	8	2	no	—
1493	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1494	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1495	C₂×C₄	C₇×H(5,𝔽₂)	1	2	yes	—
1496	C₇	#36841	1	1	yes	characteristic, direct product factor, Sylow
1497	C₂²	—	2	2	no	—
1498	C₂²	—	2	2	no	—
1499	C₂²	—	2	2	no	—
1500	C₂²	—	2	2	no	—
1501	C₂²	—	2	2	no	—
1502	C₂²	—	2	2	no	—
1503	C₂²	—	2	2	no	—
1504	C₂²	—	2	2	no	—
1505	C₂²	—	2	2	no	—
1506	C₂²	—	4	16	no	—
1507	C₂²	—	4	1	no	—
1508	C₂²	—	4	1	no	—
1509	C₂²	—	4	1	no	—
1510	C₂²	—	4	1	no	—
1511	C₂²	—	4	1	no	—
1512	C₂²	—	4	1	no	—
1513	C₂²	—	4	1	no	—
1514	C₂²	—	4	1	no	—
1515	C₂²	—	4	1	no	—
1516	C₂²	—	4	1	no	—
1517	C₂²	—	4	1	no	—
1518	C₂²	—	4	1	no	—
1519	C₂²	—	4	1	no	—
1520	C₂²	—	4	1	no	—
1521	C₂²	—	4	1	no	—
1522	C₂²	—	4	1	no	—
1523	C₂²	—	4	1	no	—
1524	C₂²	—	4	1	no	—
1525	C₂²	—	4	1	no	—
1526	C₂²	—	4	1	no	—
1527	C₂²	—	4	1	no	—
1528	C₂²	—	4	1	no	—
1529	C₂²	—	4	1	no	—
1530	C₂²	—	4	1	no	—
1531	C₂²	—	4	1	no	—
1532	C₂²	—	4	1	no	—
1533	C₂²	—	4	1	no	—
1534	C₂²	—	4	1	no	—
1535	C₂²	—	4	1	no	—
1536	C₂²	—	4	1	no	—
1537	C₂²	—	4	1	no	—
1538	C₂²	—	4	1	no	—
1539	C₂²	—	4	1	no	—
1540	C₂²	C₂²×C₇×#41	1	1	yes	characteristic
1541	C₂²	C₂×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1542	C₂²	C₂×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1543	C₂²	C₂×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1544	C₂²	C₇×#585	1	1	yes	characteristic
1545	C₂²	C₇×#585	1	1	yes	characteristic
1546	C₂²	C₇×#585	1	1	yes	characteristic
1547	C₄	—	2	2	no	—
1548	C₄	—	2	2	no	—
1549	C₄	—	2	2	no	—
1550	C₄	—	4	1	no	—
1551	C₄	—	4	1	no	—
1552	C₄	—	4	1	no	—
1553	C₄	—	4	1	no	—
1554	C₄	—	4	1	no	—
1555	C₄	—	4	1	no	—
1556	C₄	—	4	1	no	—
1557	C₄	—	4	1	no	—
1558	C₄	—	4	1	no	—
1559	C₄	—	4	1	no	—
1560	C₄	—	4	1	no	—
1561	C₄	—	4	1	no	—
1562	C₄	—	4	1	no	—
1563	C₄	—	4	1	no	—
1564	C₄	—	4	1	no	—
1565	C₄	—	4	1	no	—
1566	C₄	—	4	1	no	—
1567	C₄	—	4	1	no	—
1568	C₄	—	4	1	no	—
1569	C₄	—	4	1	no	—
1570	C₄	—	4	1	no	—
1571	C₄	—	4	1	no	—
1572	C₂	—	4	2	no	—
1573	C₂	—	4	2	no	—
1574	C₂	—	4	2	no	—
1575	C₂	—	8	1	no	—
1576	C₂	—	8	1	no	—
1577	C₂	—	8	1	no	—
1578	C₂	C₇×#3460	1	1	yes	characteristic
1579	C₂	C₇×#3513	1	1	yes	characteristic
1580	C₂	C₇×#3513	1	1	yes	characteristic
1581	C₂	C₇×#3532	1	1	yes	characteristic
1582	C₂	C₇×#3533	1	1	yes	characteristic
1583	C₂	C₇×#3533	1	1	yes	characteristic
1584	C₂	C₇×#3539	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₇	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₇
prime radical	C₇×#2669	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×#2849	C₂	semidirect
2. C₇×#2849	C₂	semidirect
3. C₇×#2790	C₂	semidirect
4. C₇×#2778	C₂	semidirect
5. C₇×#2765	C₂	semidirect
6. C₇×#2761	C₂	semidirect
7. C₇×#2753	C₂	semidirect
8. C₇×#2752	C₂	semidirect
9. C₇×#2743	C₂	semidirect
10. C₇×#2718	C₂	semidirect
11. C₇×#2709	C₂	semidirect
12. C₇×#2706	C₂	semidirect
13. C₇×#2701	C₂	semidirect
14. C₇×#2697	C₂	semidirect
15. C₇×#2691	C₂	semidirect
16. C₇×#2685	C₂	semidirect
17. C₇×#2685	C₂	semidirect
19. C₇×#2636	C₂	semidirect
20. C₇×#2630	C₂	semidirect
21. C₇×#2576	C₂	semidirect
22. C₇×#2575	C₂	semidirect
23. C₇×#2554	C₂	semidirect
24. C₇×#2553	C₂	semidirect
25. C₇×#2468	C₂	semidirect
26. C₇×#2457	C₂	semidirect
27. C₇×#2445	C₂	semidirect
28. C₇×#2422	C₂	semidirect
29. C₇×#2334	C₂	semidirect
30. C₇×#2333	C₂	semidirect
31. C₄×C₇×#120	C₂	semidirect
36. C₂×C₇×#126	C₂²	semidirect
42. C₂×C₇×#123	C₂²	semidirect
51. C₇×#401	C₂²	semidirect
52. C₇×#400	C₂²	semidirect
53. C₇×#400	C₂²	semidirect
54. C₇×#400	C₂²	semidirect
55. C₇×#400	C₂²	semidirect
58. C₇×#399	C₂²	semidirect
59. C₇×#398	C₂²	semidirect
60. C₇×#398	C₂²	semidirect
61. C₇×#398	C₂²	semidirect
62. C₇×#398	C₂²	semidirect
63. C₇×#398	C₂²	semidirect
66. C₇×#397	C₂²	semidirect
67. C₇×#397	C₂²	semidirect
68. C₇×#397	C₂²	semidirect
69. C₇×#397	C₂²	semidirect
74. C₇×#396	C₂²	semidirect
75. C₇×#396	C₂²	semidirect
76. C₇×#396	C₂²	semidirect
89. C₇×#394	C₂²	semidirect
90. C₇×#394	C₂²	semidirect
91. C₇×#394	C₂²	semidirect
92. C₇×#394	C₂²	semidirect
93. C₇×#394	C₂²	semidirect
94. C₇×#394	C₂²	semidirect
104. C₇×#390	C₂²	semidirect
105. C₇×#390	C₂²	semidirect
106. C₇×#389	C₂²	semidirect
107. C₇×#389	C₂²	semidirect
108. C₇×#389	C₂²	semidirect
119. C₇×#388	C₂²	semidirect
120. C₇×#388	C₂²	semidirect
121. C₇×#388	C₂²	semidirect
122. C₇×#388	C₂²	semidirect
123. C₇×#388	C₂²	semidirect
124. C₇×#388	C₂²	semidirect
125. C₇×#388	C₂²	semidirect
126. C₇×#387	C₂²	semidirect
127. C₇×#387	C₂²	semidirect
128. C₇×#387	C₂²	semidirect
129. C₇×#387	C₂²	semidirect
130. C₇×#387	C₂²	semidirect
131. C₇×#387	C₂²	semidirect
132. C₇×#387	C₂²	semidirect
133. C₇×#387	C₂²	semidirect
134. C₇×#387	C₂²	semidirect
149. C₇×#386	C₂²	semidirect
150. C₇×#386	C₂²	semidirect
151. C₇×#386	C₂²	semidirect
163. C₇×#385	C₂²	semidirect
164. C₇×#385	C₂²	semidirect
165. C₇×#384	C₂²	semidirect
166. C₇×#382	C₂²	semidirect
167. C₇×#382	C₂²	semidirect
168. C₇×#382	C₂²	semidirect
173. C₇×#381	C₂²	semidirect
174. C₇×#380	C₂²	semidirect
175. C₇×#380	C₂²	semidirect
176. C₇×#380	C₂²	semidirect
180. C₄×C₇×C₄⋊C₄	C₂²	semidirect
181. C₄×C₇×C₄⋊C₄	C₂²	semidirect
185. C₄×C₇×C₂²⋊C₄	C₂²	semidirect
186. C₄×C₇×C₂²⋊C₄	C₂²	semidirect
187. #36841	C₇	direct (N × H)
364. #2849	C₂×C₇	semidirect
365. #2849	C₂×C₇	semidirect
366. #2790	C₂×C₇	semidirect
367. #2778	C₂×C₇	semidirect
368. #2765	C₂×C₇	semidirect
369. #2761	C₂×C₇	semidirect
370. #2753	C₂×C₇	semidirect
371. #2752	C₂×C₇	semidirect
372. #2743	C₂×C₇	semidirect
373. #2718	C₂×C₇	semidirect
374. #2709	C₂×C₇	semidirect
375. #2706	C₂×C₇	semidirect
376. #2701	C₂×C₇	semidirect
377. #2697	C₂×C₇	semidirect
378. #2691	C₂×C₇	semidirect
379. #2685	C₂×C₇	semidirect
380. #2685	C₂×C₇	semidirect
382. #2636	C₂×C₇	semidirect
383. #2630	C₂×C₇	semidirect
384. #2576	C₂×C₇	semidirect
385. #2575	C₂×C₇	semidirect
386. #2554	C₂×C₇	semidirect
387. #2553	C₂×C₇	semidirect
388. #2468	C₂×C₇	semidirect
389. #2457	C₂×C₇	semidirect
390. #2445	C₂×C₇	semidirect
391. #2422	C₂×C₇	semidirect
392. #2334	C₂×C₇	semidirect
393. #2333	C₂×C₇	semidirect
394. C₄×#120	C₂×C₇	semidirect
594. C₂×#126	C₂²×C₇	semidirect
600. C₂×#123	C₂²×C₇	semidirect
609. #401	C₂²×C₇	semidirect
610. #400	C₂²×C₇	semidirect
611. #400	C₂²×C₇	semidirect
612. #400	C₂²×C₇	semidirect
613. #400	C₂²×C₇	semidirect
616. #399	C₂²×C₇	semidirect
617. #398	C₂²×C₇	semidirect
618. #398	C₂²×C₇	semidirect
619. #398	C₂²×C₇	semidirect
620. #398	C₂²×C₇	semidirect
621. #398	C₂²×C₇	semidirect
624. #397	C₂²×C₇	semidirect
625. #397	C₂²×C₇	semidirect
626. #397	C₂²×C₇	semidirect
627. #397	C₂²×C₇	semidirect
632. #396	C₂²×C₇	semidirect
633. #396	C₂²×C₇	semidirect
634. #396	C₂²×C₇	semidirect
647. #394	C₂²×C₇	semidirect
648. #394	C₂²×C₇	semidirect
649. #394	C₂²×C₇	semidirect
650. #394	C₂²×C₇	semidirect
651. #394	C₂²×C₇	semidirect
652. #394	C₂²×C₇	semidirect
662. #390	C₂²×C₇	semidirect
663. #390	C₂²×C₇	semidirect
664. #389	C₂²×C₇	semidirect
665. #389	C₂²×C₇	semidirect
666. #389	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. #387	C₂²×C₇	semidirect
685. #387	C₂²×C₇	semidirect
686. #387	C₂²×C₇	semidirect
687. #387	C₂²×C₇	semidirect
688. #387	C₂²×C₇	semidirect
689. #387	C₂²×C₇	semidirect
690. #387	C₂²×C₇	semidirect
691. #387	C₂²×C₇	semidirect
692. #387	C₂²×C₇	semidirect
707. #386	C₂²×C₇	semidirect
708. #386	C₂²×C₇	semidirect
709. #386	C₂²×C₇	semidirect
721. #385	C₂²×C₇	semidirect
722. #385	C₂²×C₇	semidirect
723. #384	C₂²×C₇	semidirect
724. #382	C₂²×C₇	semidirect
725. #382	C₂²×C₇	semidirect
726. #382	C₂²×C₇	semidirect
731. #381	C₂²×C₇	semidirect
732. #380	C₂²×C₇	semidirect
733. #380	C₂²×C₇	semidirect
734. #380	C₂²×C₇	semidirect
738. C₄×C₄⋊C₄	C₂²×C₇	semidirect
739. C₄×C₄⋊C₄	C₂²×C₇	semidirect
743. C₄×C₂²⋊C₄	C₂²×C₇	semidirect
744. C₄×C₂²⋊C₄	C₂²×C₇	semidirect
1496. C₇	#36841	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×#2849	2
C₇×#2790	2
C₇×#2778	2
C₇×#2765	2
C₇×#2761	2
C₇×#2753	2
C₇×#2752	2
C₇×#2743	2
C₇×#2718	2
C₇×#2709	2
C₇×#2706	2
C₇×#2701	2
C₇×#2697	2
C₇×#2691	2
C₇×#2685	2
C₇×#2669	2
C₇×#2636	2
C₇×#2630	2
C₇×#2576	2
C₇×#2575	2
C₇×#2554	2
C₇×#2553	2
C₇×#2468	2
C₇×#2457	2
C₇×#2445	2
C₇×#2422	2
C₇×#2334	2
C₇×#2333	2
C₄×C₇×#120	2
#36841	7

Subgroups — C7×#36841 #13214057

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#36841 #13214057