Subgroups — C₇×#60998 #13238214

Order 1792.

1750 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3510	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇×#3460	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#3256	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇×#3251	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇×#3250	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇×#3247	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇×#3244	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇×#3243	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇×#3240	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇×#3228	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇×#3224	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#3224	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#3213	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#3211	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#3201	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇×#3200	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇×#3199	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇×#3198	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇×#3179	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇×#3179	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇×#3175	C₂	1	1	yes	maximal, characteristic, complemented
22	C₇×#3173	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇×#3126	C₂	1	1	yes	maximal, characteristic, complemented
24	C₇×#3122	C₂	1	1	yes	maximal, characteristic, complemented
25	C₇×#3121	C₂	1	1	yes	maximal, characteristic, complemented
26	C₇×#3118	C₂	1	1	yes	maximal, characteristic, complemented
27	C₇×#3114	C₂	1	1	yes	maximal, characteristic, complemented
28	C₇×#3111	C₂	1	1	yes	maximal, characteristic, complemented
29	C₇×#3105	C₂	1	1	yes	maximal, characteristic, complemented
30	C₇×#3102	C₂	1	1	yes	maximal, characteristic, complemented
31	C₇×#2925	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇×#559	—	2	1	no	—
33	C₇×#559	—	2	1	no	—
34	C₇×#556	—	2	1	no	—
35	C₇×#556	—	2	1	no	—
36	C₇×#551	—	2	1	no	—
37	C₇×#551	—	2	1	no	—
38	C₇×#551	—	2	1	no	—
39	C₇×#551	—	2	1	no	—
40	C₇×#544	C₂²	1	1	yes	characteristic, complemented
41	C₇×#542	—	2	1	no	—
42	C₇×#542	C₂²	1	1	yes	characteristic
43	C₇×#542	C₂²	1	1	yes	characteristic
44	C₇×#542	C₂²	1	1	yes	characteristic
45	C₇×#542	C₂²	1	1	yes	characteristic, complemented
46	C₇×#542	C₂²	1	1	yes	characteristic, complemented
47	C₇×#542	C₂²	1	1	yes	characteristic, complemented
48	C₇×#540	—	2	1	no	—
49	C₇×#540	C₂²	1	1	yes	characteristic
50	C₇×#540	C₂²	1	1	yes	characteristic, complemented
51	C₇×#538	—	2	1	no	—
52	C₇×#538	—	2	1	no	—
53	C₇×#537	C₂²	1	1	yes	characteristic
54	C₇×#536	C₂²	1	1	yes	characteristic
55	C₇×#535	C₂²	1	1	yes	characteristic
56	C₇×#535	C₂²	1	1	yes	characteristic
57	C₇×#535	C₂²	1	1	yes	characteristic, complemented
58	C₇×#533	C₂²	1	1	yes	characteristic, complemented
59	C₇×#532	—	2	1	no	—
60	C₇×#532	C₂²	1	1	yes	characteristic
61	C₇×#532	C₂²	1	1	yes	characteristic, complemented
62	C₇×#529	—	2	1	no	—
63	C₇×#529	C₂²	1	1	yes	characteristic
64	C₇×#529	C₂²	1	1	yes	characteristic
65	C₇×#529	C₂²	1	1	yes	characteristic
66	C₇×#529	C₂²	1	1	yes	characteristic, complemented
67	C₇×#529	C₂²	1	1	yes	characteristic, complemented
68	C₇×#529	C₂²	1	1	yes	characteristic, complemented
69	C₂×C₇×#124	C₂²	1	1	yes	characteristic, complemented
70	C₇×#525	—	2	1	no	—
71	C₇×#525	—	2	1	no	—
72	C₇×#519	C₂²	1	1	yes	characteristic, complemented
73	C₇×#518	C₂²	1	1	yes	characteristic, complemented
74	C₄×C₇×#41	C₂²	1	1	yes	characteristic
75	C₄×C₇×#41	C₂²	1	1	yes	characteristic, complemented
76	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
77	C₇×#501	C₂²	1	1	yes	characteristic, complemented
78	C₇×#501	C₂²	1	1	yes	characteristic, complemented
79	C₇×#500	C₂²	1	1	yes	characteristic, complemented
80	C₇×#498	C₂²	1	1	yes	characteristic, complemented
81	C₇×#496	C₂²	1	1	yes	characteristic
82	C₇×#496	C₂²	1	1	yes	characteristic
83	C₇×#495	C₂²	1	1	yes	characteristic
84	C₇×#495	C₂²	1	1	yes	characteristic
85	C₇×#489	C₂²	1	1	yes	characteristic, complemented
86	C₇×#489	C₂²	1	1	yes	characteristic, complemented
87	C₇×#489	C₂²	1	1	yes	characteristic, complemented
88	C₇×#489	C₂²	1	1	yes	characteristic, complemented
89	C₇×#488	C₂²	1	1	yes	characteristic, complemented
90	C₇×#488	C₂²	1	1	yes	characteristic, complemented
91	C₇×#486	C₂²	1	1	yes	characteristic, complemented
92	C₇×#486	C₂²	1	1	yes	characteristic, complemented
93	C₇×#485	C₂²	1	1	yes	characteristic, complemented
94	C₇×#485	C₂²	1	1	yes	characteristic, complemented
95	C₇×#485	C₂²	1	1	yes	characteristic, complemented
96	C₇×#485	C₂²	1	1	yes	characteristic, complemented
97	C₇×#484	C₂²	1	1	yes	characteristic, complemented
98	C₇×#483	C₂²	1	1	yes	characteristic, complemented
99	C₇×#482	C₂²	1	1	yes	characteristic
100	C₇×#482	C₂²	1	1	yes	characteristic
101	C₇×#482	C₂²	1	1	yes	characteristic
102	C₇×#482	C₂²	1	1	yes	characteristic
103	C₇×#482	C₂²	1	1	yes	characteristic
104	C₇×#482	C₂²	1	1	yes	characteristic
105	C₇×#482	C₂²	1	1	yes	characteristic, complemented
106	C₇×#482	C₂²	1	1	yes	characteristic, complemented
107	C₇×#481	C₂²	1	1	yes	characteristic
108	C₇×#480	C₂²	1	1	yes	characteristic
109	C₇×#479	C₂²	1	1	yes	characteristic, complemented
110	C₇×#479	C₂²	1	1	yes	characteristic, complemented
111	C₇×#479	C₂²	1	1	yes	characteristic, complemented
112	C₇×#479	C₂²	1	1	yes	characteristic, complemented
113	C₇×#478	C₂²	1	1	yes	characteristic, complemented
114	C₇×#478	C₂²	1	1	yes	characteristic, complemented
115	C₇×#478	C₂²	1	1	yes	characteristic, complemented
116	C₇×#478	C₂²	1	1	yes	characteristic, complemented
117	C₇×#478	C₂²	1	1	yes	characteristic, complemented
118	C₇×#478	C₂²	1	1	yes	characteristic, complemented
119	C₇×#478	C₂²	1	1	yes	characteristic, complemented
120	C₇×#478	C₂²	1	1	yes	characteristic, complemented
121	C₇×#477	C₂²	1	1	yes	characteristic, complemented
122	C₇×#476	C₂²	1	1	yes	characteristic, complemented
123	C₇×#475	C₂²	1	1	yes	characteristic, complemented
124	C₇×#474	C₂²	1	1	yes	characteristic, complemented
125	C₇×#470	C₂²	1	1	yes	characteristic, complemented
126	C₇×#469	C₂²	1	1	yes	characteristic
127	C₇×#469	C₂²	1	1	yes	characteristic
128	C₇×#469	C₂²	1	1	yes	characteristic, complemented
129	C₇×#468	C₂²	1	1	yes	characteristic, complemented
130	C₇×#468	C₂²	1	1	yes	characteristic, complemented
131	C₇×#468	C₂²	1	1	yes	characteristic, complemented
132	C₇×#468	C₂²	1	1	yes	characteristic, complemented
133	C₇×#467	C₂²	1	1	yes	characteristic, complemented
134	C₇×#466	C₂²	1	1	yes	characteristic
135	C₇×#466	C₂²	1	1	yes	characteristic
136	C₇×#466	C₂²	1	1	yes	characteristic, complemented
137	C₇×#465	C₂²	1	1	yes	characteristic, complemented
138	C₇×#465	C₂²	1	1	yes	characteristic, complemented
139	C₇×#465	C₂²	1	1	yes	characteristic, complemented
140	C₇×#465	C₂²	1	1	yes	characteristic, complemented
141	C₇×#464	C₂²	1	1	yes	characteristic, complemented
142	C₇×#464	C₂²	1	1	yes	characteristic, complemented
143	C₇×#464	C₂²	1	1	yes	characteristic, complemented
144	C₇×#464	C₂²	1	1	yes	characteristic, complemented
145	C₇×#463	C₂²	1	1	yes	characteristic
146	C₇×#463	C₂²	1	1	yes	characteristic
147	C₇×#463	C₂²	1	1	yes	characteristic
148	C₇×#463	C₂²	1	1	yes	characteristic
149	C₇×#463	C₂²	1	1	yes	characteristic
150	C₇×#463	C₂²	1	1	yes	characteristic
151	C₇×#463	C₂²	1	1	yes	characteristic, complemented
152	C₇×#463	C₂²	1	1	yes	characteristic, complemented
153	C₇×#460	C₂²	1	1	yes	characteristic, complemented
154	C₇×#460	C₂²	1	1	yes	characteristic, complemented
155	C₇×#459	C₂²	1	1	yes	characteristic
156	C₇×#459	C₂²	1	1	yes	characteristic
157	C₇×#452	C₂²	1	1	yes	characteristic, complemented
158	C₇×#452	C₂²	1	1	yes	characteristic, complemented
159	C₇×#451	C₂²	1	1	yes	characteristic, complemented
160	C₇×#450	C₂²	1	1	yes	characteristic, complemented
161	C₇×#450	C₂²	1	1	yes	characteristic, complemented
162	C₇×#450	C₂²	1	1	yes	characteristic, complemented
163	C₇×#449	C₂²	1	1	yes	characteristic
164	C₇×#449	C₂²	1	1	yes	characteristic
165	C₇×#448	C₂²	1	1	yes	characteristic
166	C₇×#448	C₂²	1	1	yes	characteristic
167	C₇×#448	C₂²	1	1	yes	characteristic, complemented
168	C₇×#447	C₂²	1	1	yes	characteristic
169	C₇×#447	C₂²	1	1	yes	characteristic
170	C₇×#447	C₂²	1	1	yes	characteristic
171	C₇×#447	C₂²	1	1	yes	characteristic
172	C₇×#447	C₂²	1	1	yes	characteristic, complemented
173	C₇×#442	C₂²	1	1	yes	characteristic
174	C₇×#442	C₂²	1	1	yes	characteristic
175	C₇×#442	C₂²	1	1	yes	characteristic, complemented
176	C₇×#441	C₂²	1	1	yes	characteristic, complemented
177	C₇×#440	C₂²	1	1	yes	characteristic, complemented
178	C₇×#440	C₂²	1	1	yes	characteristic, complemented
179	C₇×#440	C₂²	1	1	yes	characteristic, complemented
180	C₇×#440	C₂²	1	1	yes	characteristic, complemented
181	C₄×C₇×Q₁₆	C₂²	1	1	yes	characteristic, complemented
182	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic, complemented
183	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic, complemented
184	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic, complemented
185	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic, complemented
186	C₄×C₇×D₈	C₂²	1	1	yes	characteristic
187	C₄×C₇×D₈	C₂²	1	1	yes	characteristic
188	C₄×C₇×D₈	C₂²	1	1	yes	characteristic, complemented
189	C₇×#433	C₂²	1	1	yes	characteristic, complemented
190	C₇×#433	C₂²	1	1	yes	characteristic, complemented
191	C₇×#433	C₂²	1	1	yes	characteristic, complemented
192	C₇×#433	C₂²	1	1	yes	characteristic, complemented
193	C₇×#432	C₂²	1	1	yes	characteristic, complemented
194	C₇×#432	C₂²	1	1	yes	characteristic, complemented
195	C₇×#431	C₂²	1	1	yes	characteristic, complemented
196	C₇×#431	C₂²	1	1	yes	characteristic, complemented
197	C₇×#423	C₂²	1	1	yes	characteristic, complemented
198	C₂×C₇×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
199	C₇×#408	C₂²	1	1	yes	characteristic
200	C₇×#408	C₂²	1	1	yes	characteristic
201	C₇×#405	C₂²	1	1	yes	characteristic, complemented
202	C₇×#405	C₂²	1	1	yes	characteristic, complemented
203	#60998	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
204	C₂×C₇×#41	—	2	1	no	—
205	C₂×C₇×#41	—	2	1	no	—
206	C₂×C₇×#41	C₂³	1	1	yes	characteristic
207	C₂×C₇×#41	C₂³	1	1	yes	characteristic
208	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
209	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
210	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
211	C₂³×C₄×C₇	—	2	1	no	—
212	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
213	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
214	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
215	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
216	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
217	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
218	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
219	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
220	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
221	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
222	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
223	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
224	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
225	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
226	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
227	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
228	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
229	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
230	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
231	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
232	C₇×C₄⋊Q₈	—	2	1	no	—
233	C₇×C₄⋊Q₈	—	2	1	no	—
234	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
235	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
236	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
237	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
238	C₇×#127	—	2	1	no	—
239	C₇×#127	—	2	1	no	—
240	C₇×#127	C₂³	1	1	yes	characteristic
241	C₇×#127	C₂³	1	1	yes	characteristic
242	C₇×#126	—	2	1	no	—
243	C₇×#126	—	2	1	no	—
244	C₇×#126	—	2	1	no	—
245	C₇×#126	—	2	1	no	—
246	C₇×#126	—	2	1	no	—
247	C₇×#126	—	2	1	no	—
248	C₇×#126	—	2	1	no	—
249	C₇×#126	—	2	1	no	—
250	C₇×#126	—	2	1	no	—
251	C₇×#126	—	2	1	no	—
252	C₇×#126	—	2	1	no	—
253	C₇×#126	—	2	1	no	—
254	C₇×#125	—	2	1	no	—
255	C₇×#125	C₂³	1	1	yes	characteristic
256	C₇×#125	C₂³	1	1	yes	characteristic
257	C₇×#125	C₂³	1	1	yes	characteristic
258	C₇×#125	C₂³	1	1	yes	characteristic
259	C₇×#124	—	2	1	no	—
260	C₇×#124	—	2	1	no	—
261	C₇×#124	—	2	1	no	—
262	C₇×#124	—	2	1	no	—
263	C₇×#124	—	2	1	no	—
264	C₇×#124	—	2	1	no	—
265	C₇×#124	—	2	1	no	—
266	C₇×#124	—	2	1	no	—
267	C₇×#124	—	2	1	no	—
268	C₇×#124	—	2	1	no	—
269	C₇×#124	—	2	1	no	—
270	C₇×#124	—	2	1	no	—
271	C₇×#124	—	2	1	no	—
272	C₇×#124	C₂³	1	1	yes	characteristic
273	C₇×#124	C₂³	1	1	yes	characteristic
274	C₇×#124	C₂³	1	1	yes	characteristic
275	C₇×#124	C₂³	1	1	yes	characteristic
276	C₇×#124	C₂³	1	1	yes	characteristic
277	C₇×#124	C₂³	1	1	yes	characteristic
278	C₇×#123	—	2	1	no	—
279	C₇×#123	—	2	1	no	—
280	C₇×#123	—	2	1	no	—
281	C₇×#123	—	2	1	no	—
282	C₇×#123	—	2	1	no	—
283	C₇×#123	—	2	1	no	—
284	C₇×#123	—	2	1	no	—
285	C₇×#123	—	2	1	no	—
286	C₇×#123	—	2	1	no	—
287	C₇×#123	—	2	1	no	—
288	C₇×#123	—	2	1	no	—
289	C₇×#123	—	2	1	no	—
290	C₇×#123	—	2	1	no	—
291	C₇×#123	—	2	1	no	—
292	C₇×#123	—	2	1	no	—
293	C₇×#123	—	2	1	no	—
294	C₇×#123	—	2	1	no	—
295	C₇×#123	—	2	1	no	—
296	C₇×C₂²⋊Q₈	—	2	1	no	—
297	C₇×C₂²⋊Q₈	—	2	1	no	—
298	C₇×C₂²⋊Q₈	—	2	1	no	—
299	C₇×C₂²⋊Q₈	—	2	1	no	—
300	C₇×C₂²⋊Q₈	—	2	1	no	—
301	C₇×C₂²⋊Q₈	—	2	1	no	—
302	C₇×C₂²⋊Q₈	—	2	1	no	—
303	C₇×C₂²⋊Q₈	—	2	1	no	—
304	C₇×C₂²⋊Q₈	—	2	1	no	—
305	C₇×C₂²⋊Q₈	—	2	1	no	—
306	C₇×C₂²⋊Q₈	—	2	1	no	—
307	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
308	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
309	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
310	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
311	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
312	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
313	C₇×#121	—	2	1	no	—
314	C₇×#121	—	2	1	no	—
315	C₇×#121	—	2	1	no	—
316	C₇×#121	—	2	1	no	—
317	C₇×#121	—	2	1	no	—
318	C₇×#121	—	2	1	no	—
319	C₇×#121	—	2	1	no	—
320	C₇×#121	—	2	1	no	—
321	C₇×#121	—	2	1	no	—
322	C₇×#121	—	2	1	no	—
323	C₇×#121	—	2	1	no	—
324	C₇×#121	C₂³	1	1	yes	characteristic
325	C₇×#121	C₂³	1	1	yes	characteristic
326	C₇×#121	C₂³	1	1	yes	characteristic
327	C₇×#121	C₂³	1	1	yes	characteristic
328	C₇×#121	C₂³	1	1	yes	characteristic
329	C₇×#121	C₂³	1	1	yes	characteristic
330	C₇×#121	C₂³	1	1	yes	characteristic
331	C₇×#121	C₂³	1	1	yes	characteristic
332	C₇×#121	C₂³	1	1	yes	characteristic
333	C₇×#121	C₂³	1	1	yes	characteristic
334	C₇×#120	—	2	1	no	—
335	C₇×#120	—	2	1	no	—
336	C₇×#120	—	2	1	no	—
337	C₇×#120	—	2	1	no	—
338	C₇×#120	—	2	1	no	—
339	C₇×#120	—	2	1	no	—
340	C₄×C₇×Q₈	—	2	1	no	—
341	C₄×C₇×Q₈	—	2	1	no	—
342	C₄×C₇×Q₈	—	2	1	no	—
343	C₄×C₇×Q₈	—	2	1	no	—
344	C₄×C₇×Q₈	D₄	1	1	yes	characteristic
345	C₄×C₇×Q₈	D₄	1	1	yes	characteristic
346	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
347	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
348	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
349	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
350	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
351	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
352	C₄×C₇×D₄	—	2	1	no	—
353	C₄×C₇×D₄	—	2	1	no	—
354	C₄×C₇×D₄	—	2	1	no	—
355	C₄×C₇×D₄	—	2	1	no	—
356	C₄×C₇×D₄	—	2	1	no	—
357	C₄×C₇×D₄	—	2	1	no	—
358	C₄×C₇×D₄	—	2	1	no	—
359	C₄×C₇×D₄	—	2	1	no	—
360	C₄×C₇×D₄	—	2	1	no	—
361	C₄×C₇×D₄	—	2	1	no	—
362	C₄×C₇×D₄	—	2	1	no	—
363	C₄×C₇×D₄	—	2	1	no	—
364	C₄×C₇×D₄	—	2	1	no	—
365	C₄×C₇×D₄	—	2	1	no	—
366	C₄×C₇×D₄	D₄	1	1	yes	characteristic
367	C₄×C₇×D₄	D₄	1	1	yes	characteristic
368	C₄×C₇×D₄	D₄	1	1	yes	characteristic
369	C₄×C₇×D₄	D₄	1	1	yes	characteristic
370	C₄×C₇×D₄	D₄	1	1	yes	characteristic
371	C₄×C₇×D₄	D₄	1	1	yes	characteristic
372	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
373	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
374	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
375	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
376	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
377	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
378	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
379	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
380	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
381	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
382	C₇×#117	—	2	1	no	—
383	C₇×#117	—	2	1	no	—
384	C₇×#117	—	2	1	no	—
385	C₇×#117	—	2	1	no	—
386	C₇×#117	—	2	1	no	—
387	C₇×#117	—	2	1	no	—
388	C₇×#117	—	2	1	no	—
389	C₇×#117	—	2	1	no	—
390	C₇×#117	—	2	1	no	—
391	C₇×#117	C₂³	1	1	yes	characteristic
392	C₇×#117	C₂³	1	1	yes	characteristic
393	C₇×#117	C₂³	1	1	yes	characteristic
394	C₇×#117	C₂³	1	1	yes	characteristic
395	C₇×#117	C₂³	1	1	yes	characteristic
396	C₇×#117	C₂³	1	1	yes	characteristic
397	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
398	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
399	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
400	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
401	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
402	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
403	C₂×C₄²×C₇	—	2	1	no	—
404	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
405	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
406	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
407	C₇×#107	C₂³	1	1	yes	characteristic
408	C₇×#107	C₂³	1	1	yes	characteristic
409	C₇×#107	C₂³	1	1	yes	characteristic
410	C₇×#107	C₂³	1	1	yes	characteristic
411	C₇×#107	C₂³	1	1	yes	characteristic
412	C₇×#107	C₂³	1	1	yes	characteristic
413	C₇×#107	C₂³	1	1	yes	characteristic
414	C₇×#107	C₂³	1	1	yes	characteristic
415	C₇×#106	C₂³	1	1	yes	characteristic
416	C₇×#106	C₂³	1	1	yes	characteristic
417	C₇×#106	C₂³	1	1	yes	characteristic
418	C₇×#106	C₂³	1	1	yes	characteristic
419	C₇×#106	C₂³	1	1	yes	characteristic
420	C₇×#106	C₂³	1	1	yes	characteristic
421	C₇×#106	C₂³	1	1	yes	characteristic
422	C₇×#106	C₂³	1	1	yes	characteristic
423	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
424	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
425	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
426	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
427	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
428	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
429	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
430	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
431	C₇×#103	C₂³	1	1	yes	characteristic
432	C₇×#103	C₂³	1	1	yes	characteristic
433	C₇×#103	C₂³	1	1	yes	characteristic
434	C₇×#103	C₂³	1	1	yes	characteristic
435	C₇×#103	C₂³	1	1	yes	characteristic
436	C₇×#103	C₂³	1	1	yes	characteristic
437	C₇×#103	C₂³	1	1	yes	characteristic
438	C₇×#103	C₂³	1	1	yes	characteristic
439	C₇×#103	C₂³	1	1	yes	characteristic
440	C₇×#103	C₂³	1	1	yes	characteristic
441	C₇×#103	C₂³	1	1	yes	characteristic
442	C₇×#103	C₂³	1	1	yes	characteristic
443	C₇×#102	C₂³	1	1	yes	characteristic
444	C₇×#102	C₂³	1	1	yes	characteristic
445	C₇×#102	C₂³	1	1	yes	characteristic
446	C₇×#102	C₂³	1	1	yes	characteristic
447	C₇×#102	C₂³	1	1	yes	characteristic
448	C₇×#102	C₂³	1	1	yes	characteristic
449	C₇×#102	C₂³	1	1	yes	characteristic
450	C₇×#102	C₂³	1	1	yes	characteristic
451	C₇×#102	C₂³	1	1	yes	characteristic
452	C₇×#102	C₂³	1	1	yes	characteristic
453	C₇×#102	C₂³	1	1	yes	characteristic
454	C₇×#102	C₂³	1	1	yes	characteristic
455	C₇×#102	C₂³	1	1	yes	characteristic
456	C₇×#102	C₂³	1	1	yes	characteristic
457	C₇×#102	C₂³	1	1	yes	characteristic
458	C₇×#102	C₂³	1	1	yes	characteristic
459	C₇×#102	C₂³	1	1	yes	characteristic
460	C₇×#102	C₂³	1	1	yes	characteristic
461	C₇×#102	C₂³	1	1	yes	characteristic
462	C₇×#102	C₂³	1	1	yes	characteristic
463	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
464	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
465	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
466	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
467	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
468	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
469	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
470	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
471	C₇×#97	C₂³	1	1	yes	characteristic
472	C₇×#97	C₂³	1	1	yes	characteristic
473	C₇×#97	C₂³	1	1	yes	characteristic
474	C₇×#97	C₂³	1	1	yes	characteristic
475	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
476	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
477	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
478	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
479	#3510	C₂×C₇	1	1	yes	characteristic, complemented
480	#3460	C₂×C₇	1	1	yes	characteristic, complemented
481	#3256	C₂×C₇	1	1	yes	characteristic, complemented
482	#3251	C₂×C₇	1	1	yes	characteristic, complemented
483	#3250	C₂×C₇	1	1	yes	characteristic, complemented
484	#3247	C₂×C₇	1	1	yes	characteristic, complemented
485	#3244	C₂×C₇	1	1	yes	characteristic, complemented
486	#3243	C₂×C₇	1	1	yes	characteristic, complemented
487	#3240	C₂×C₇	1	1	yes	characteristic, complemented
488	#3228	C₂×C₇	1	1	yes	characteristic, complemented
489	#3224	C₂×C₇	1	1	yes	characteristic, complemented
490	#3224	C₂×C₇	1	1	yes	characteristic, complemented
491	#3213	C₂×C₇	1	1	yes	characteristic, complemented
492	#3211	C₂×C₇	1	1	yes	characteristic, complemented
493	#3201	C₂×C₇	1	1	yes	characteristic, complemented
494	#3200	C₂×C₇	1	1	yes	characteristic, complemented
495	#3199	C₂×C₇	1	1	yes	characteristic, complemented
496	#3198	C₂×C₇	1	1	yes	characteristic, complemented
497	#3179	C₂×C₇	1	1	yes	characteristic, complemented
498	#3179	C₂×C₇	1	1	yes	characteristic, complemented
499	#3175	C₂×C₇	1	1	yes	characteristic, complemented
500	#3173	C₂×C₇	1	1	yes	characteristic, complemented
501	#3126	C₂×C₇	1	1	yes	characteristic, complemented
502	#3122	C₂×C₇	1	1	yes	characteristic, complemented
503	#3121	C₂×C₇	1	1	yes	characteristic, complemented
504	#3118	C₂×C₇	1	1	yes	characteristic, complemented
505	#3114	C₂×C₇	1	1	yes	characteristic, complemented
506	#3111	C₂×C₇	1	1	yes	characteristic, complemented
507	#3105	C₂×C₇	1	1	yes	characteristic, complemented
508	#3102	C₂×C₇	1	1	yes	characteristic, complemented
509	#2925	C₂×C₇	1	1	yes	characteristic, complemented
510	C₂⁴×C₇	—	2	1	no	—
511	C₂⁴×C₇	—	2	1	no	—
512	C₇×#41	—	4	1	no	—
513	C₇×#41	—	4	1	no	—
514	C₇×#41	—	4	1	no	—
515	C₇×#41	—	4	1	no	—
516	C₇×#41	—	8	2	no	—
517	C₇×#41	—	8	2	no	—
518	C₂×C₇×Q₈	—	2	1	no	—
519	C₂×C₇×Q₈	—	2	1	no	—
520	C₂×C₇×Q₈	—	2	1	no	—
521	C₂×C₇×Q₈	—	2	1	no	—
522	C₂×C₇×Q₈	—	2	1	no	—
523	C₂×C₇×Q₈	—	4	1	no	—
524	C₂×C₇×Q₈	—	4	1	no	—
525	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
526	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
527	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
528	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
529	C₂×C₇×D₄	—	2	1	no	—
530	C₂×C₇×D₄	—	2	1	no	—
531	C₂×C₇×D₄	—	2	1	no	—
532	C₂×C₇×D₄	—	2	1	no	—
533	C₂×C₇×D₄	—	2	1	no	—
534	C₂×C₇×D₄	—	2	1	no	—
535	C₂×C₇×D₄	—	2	1	no	—
536	C₂×C₇×D₄	—	2	1	no	—
537	C₂×C₇×D₄	—	2	1	no	—
538	C₂×C₇×D₄	—	2	1	no	—
539	C₂×C₇×D₄	—	2	1	no	—
540	C₂×C₇×D₄	—	2	1	no	—
541	C₂×C₇×D₄	—	2	1	no	—
542	C₂×C₇×D₄	—	2	1	no	—
543	C₂×C₇×D₄	—	2	1	no	—
544	C₂×C₇×D₄	—	2	1	no	—
545	C₂×C₇×D₄	—	2	1	no	—
546	C₂×C₇×D₄	—	4	1	no	—
547	C₂×C₇×D₄	—	4	1	no	—
548	C₂×C₇×D₄	—	4	1	no	—
549	C₂×C₇×D₄	—	4	1	no	—
550	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
551	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
552	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
553	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
554	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
555	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
556	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
557	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
558	C₂²×C₄×C₇	—	2	1	no	—
559	C₂²×C₄×C₇	—	2	1	no	—
560	C₂²×C₄×C₇	—	2	1	no	—
561	C₂²×C₄×C₇	—	2	1	no	—
562	C₂²×C₄×C₇	—	2	1	no	—
563	C₂²×C₄×C₇	—	2	1	no	—
564	C₂²×C₄×C₇	—	2	1	no	—
565	C₂²×C₄×C₇	—	2	1	no	—
566	C₂²×C₄×C₇	—	2	1	no	—
567	C₂²×C₄×C₇	—	2	1	no	—
568	C₂²×C₄×C₇	—	2	1	no	—
569	C₂²×C₄×C₇	—	2	1	no	—
570	C₂²×C₄×C₇	—	2	1	no	—
571	C₂²×C₄×C₇	—	8	2	no	—
572	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
573	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
574	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
575	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
576	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
577	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
578	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
579	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
580	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
581	C₇×Q₁₆	—	4	1	no	—
582	C₇×Q₁₆	—	4	1	no	—
583	C₇×SD₁₆	—	4	1	no	—
584	C₇×SD₁₆	—	4	1	no	—
585	C₇×SD₁₆	—	4	1	no	—
586	C₇×SD₁₆	—	4	1	no	—
587	C₇×SD₁₆	—	4	1	no	—
588	C₇×SD₁₆	—	4	1	no	—
589	C₇×SD₁₆	—	4	1	no	—
590	C₇×SD₁₆	—	4	1	no	—
591	C₇×D₈	—	4	1	no	—
592	C₇×D₈	—	4	1	no	—
593	C₇×D₈	—	4	1	no	—
594	C₇×D₈	—	4	1	no	—
595	C₇×D₈	—	4	1	no	—
596	C₇×D₈	—	4	1	no	—
597	C₇×M₁₆	—	4	1	no	—
598	C₇×M₁₆	—	4	1	no	—
599	C₂×C₇×C₈	—	4	1	no	—
600	C₂×C₇×C₈	—	4	1	no	—
601	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
602	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
603	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
604	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
605	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
606	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
607	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
608	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
609	C₇×C₄⋊C₄	—	2	1	no	—
610	C₇×C₄⋊C₄	—	2	1	no	—
611	C₇×C₄⋊C₄	—	2	1	no	—
612	C₇×C₄⋊C₄	—	2	1	no	—
613	C₇×C₄⋊C₄	—	2	1	no	—
614	C₇×C₄⋊C₄	—	2	1	no	—
615	C₇×C₄⋊C₄	—	2	1	no	—
616	C₇×C₄⋊C₄	—	2	1	no	—
617	C₇×C₄⋊C₄	—	2	1	no	—
618	C₇×C₄⋊C₄	—	2	1	no	—
619	C₇×C₄⋊C₄	—	2	1	no	—
620	C₇×C₄⋊C₄	—	2	1	no	—
621	C₇×C₄⋊C₄	—	2	1	no	—
622	C₇×C₄⋊C₄	—	2	1	no	—
623	C₇×C₄⋊C₄	—	2	1	no	—
624	C₇×C₄⋊C₄	—	2	1	no	—
625	C₇×C₄⋊C₄	—	2	1	no	—
626	C₇×C₄⋊C₄	—	2	1	no	—
627	C₇×C₄⋊C₄	—	2	1	no	—
628	C₇×C₄⋊C₄	—	2	1	no	—
629	C₇×C₄⋊C₄	—	2	1	no	—
630	C₇×C₄⋊C₄	—	2	1	no	—
631	C₇×C₄⋊C₄	—	2	1	no	—
632	C₇×C₄⋊C₄	—	2	1	no	—
633	C₇×C₄⋊C₄	—	2	1	no	—
634	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
635	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
636	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
637	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
638	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
639	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
640	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
641	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
642	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
643	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
644	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
645	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
646	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
647	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
648	C₇×C₂²⋊C₄	—	2	1	no	—
649	C₇×C₂²⋊C₄	—	2	1	no	—
650	C₇×C₂²⋊C₄	—	2	1	no	—
651	C₇×C₂²⋊C₄	—	2	1	no	—
652	C₇×C₂²⋊C₄	—	2	1	no	—
653	C₇×C₂²⋊C₄	—	2	1	no	—
654	C₇×C₂²⋊C₄	—	2	1	no	—
655	C₇×C₂²⋊C₄	—	2	1	no	—
656	C₇×C₂²⋊C₄	—	2	1	no	—
657	C₇×C₂²⋊C₄	—	2	1	no	—
658	C₇×C₂²⋊C₄	—	2	1	no	—
659	C₇×C₂²⋊C₄	—	2	1	no	—
660	C₇×C₂²⋊C₄	—	2	1	no	—
661	C₇×C₂²⋊C₄	—	2	1	no	—
662	C₇×C₂²⋊C₄	—	2	1	no	—
663	C₇×C₂²⋊C₄	—	2	1	no	—
664	C₇×C₂²⋊C₄	—	2	1	no	—
665	C₇×C₂²⋊C₄	—	2	1	no	—
666	C₇×C₂²⋊C₄	—	2	1	no	—
667	C₇×C₂²⋊C₄	—	2	1	no	—
668	C₇×C₂²⋊C₄	—	2	1	no	—
669	C₇×C₂²⋊C₄	—	2	1	no	—
670	C₇×C₂²⋊C₄	—	2	1	no	—
671	C₇×C₂²⋊C₄	—	2	1	no	—
672	C₇×C₂²⋊C₄	—	2	1	no	—
673	C₇×C₂²⋊C₄	—	2	1	no	—
674	C₇×C₂²⋊C₄	—	2	1	no	—
675	C₇×C₂²⋊C₄	—	2	1	no	—
676	C₇×C₂²⋊C₄	—	2	1	no	—
677	C₇×C₂²⋊C₄	—	2	1	no	—
678	C₇×C₂²⋊C₄	—	2	1	no	—
679	C₇×C₂²⋊C₄	—	2	1	no	—
680	C₇×C₂²⋊C₄	—	2	1	no	—
681	C₇×C₂²⋊C₄	—	2	1	no	—
682	C₇×C₂²⋊C₄	—	2	1	no	—
683	C₇×C₂²⋊C₄	—	2	1	no	—
684	C₇×C₂²⋊C₄	—	2	1	no	—
685	C₇×C₂²⋊C₄	—	2	1	no	—
686	C₇×C₂²⋊C₄	—	2	1	no	—
687	C₇×C₂²⋊C₄	—	2	1	no	—
688	C₇×C₂²⋊C₄	—	2	1	no	—
689	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
690	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
691	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
692	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
693	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
694	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
695	C₄²×C₇	—	2	1	no	—
696	C₄²×C₇	—	2	1	no	—
697	C₄²×C₇	—	2	1	no	—
698	C₄²×C₇	—	2	1	no	—
699	C₄²×C₇	—	2	1	no	—
700	C₄²×C₇	—	2	1	no	—
701	C₄²×C₇	—	2	1	no	—
702	C₄²×C₇	—	2	1	no	—
703	C₄²×C₇	—	2	1	no	—
704	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
705	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
706	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
707	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
708	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
709	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
710	C₄²×C₇	C₂⁴	1	1	yes	characteristic
711	C₄²×C₇	C₂⁴	1	1	yes	characteristic
712	C₄²×C₇	C₂⁴	1	1	yes	characteristic
713	C₄²×C₇	C₂⁴	1	1	yes	characteristic
714	#559	—	2	1	no	—
715	#559	—	2	1	no	—
716	#556	—	2	1	no	—
717	#556	—	2	1	no	—
718	#551	—	2	1	no	—
719	#551	—	2	1	no	—
720	#551	—	2	1	no	—
721	#551	—	2	1	no	—
722	#544	C₂²×C₇	1	1	yes	characteristic, complemented
723	#542	—	2	1	no	—
724	#542	C₂²×C₇	1	1	yes	characteristic
725	#542	C₂²×C₇	1	1	yes	characteristic
726	#542	C₂²×C₇	1	1	yes	characteristic
727	#542	C₂²×C₇	1	1	yes	characteristic, complemented
728	#542	C₂²×C₇	1	1	yes	characteristic, complemented
729	#542	C₂²×C₇	1	1	yes	characteristic, complemented
730	#540	—	2	1	no	—
731	#540	C₂²×C₇	1	1	yes	characteristic
732	#540	C₂²×C₇	1	1	yes	characteristic, complemented
733	#538	—	2	1	no	—
734	#538	—	2	1	no	—
735	#537	C₂²×C₇	1	1	yes	characteristic
736	#536	C₂²×C₇	1	1	yes	characteristic
737	#535	C₂²×C₇	1	1	yes	characteristic
738	#535	C₂²×C₇	1	1	yes	characteristic
739	#535	C₂²×C₇	1	1	yes	characteristic, complemented
740	#533	C₂²×C₇	1	1	yes	characteristic, complemented
741	#532	—	2	1	no	—
742	#532	C₂²×C₇	1	1	yes	characteristic
743	#532	C₂²×C₇	1	1	yes	characteristic, complemented
744	#529	—	2	1	no	—
745	#529	C₂²×C₇	1	1	yes	characteristic
746	#529	C₂²×C₇	1	1	yes	characteristic
747	#529	C₂²×C₇	1	1	yes	characteristic
748	#529	C₂²×C₇	1	1	yes	characteristic, complemented
749	#529	C₂²×C₇	1	1	yes	characteristic, complemented
750	#529	C₂²×C₇	1	1	yes	characteristic, complemented
751	C₂×#124	C₂²×C₇	1	1	yes	characteristic, complemented
752	#525	—	2	1	no	—
753	#525	—	2	1	no	—
754	#519	C₂²×C₇	1	1	yes	characteristic, complemented
755	#518	C₂²×C₇	1	1	yes	characteristic, complemented
756	C₄×#41	C₂²×C₇	1	1	yes	characteristic
757	C₄×#41	C₂²×C₇	1	1	yes	characteristic, complemented
758	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
759	#501	C₂²×C₇	1	1	yes	characteristic, complemented
760	#501	C₂²×C₇	1	1	yes	characteristic, complemented
761	#500	C₂²×C₇	1	1	yes	characteristic, complemented
762	#498	C₂²×C₇	1	1	yes	characteristic, complemented
763	#496	C₂²×C₇	1	1	yes	characteristic
764	#496	C₂²×C₇	1	1	yes	characteristic
765	#495	C₂²×C₇	1	1	yes	characteristic
766	#495	C₂²×C₇	1	1	yes	characteristic
767	#489	C₂²×C₇	1	1	yes	characteristic, complemented
768	#489	C₂²×C₇	1	1	yes	characteristic, complemented
769	#489	C₂²×C₇	1	1	yes	characteristic, complemented
770	#489	C₂²×C₇	1	1	yes	characteristic, complemented
771	#488	C₂²×C₇	1	1	yes	characteristic, complemented
772	#488	C₂²×C₇	1	1	yes	characteristic, complemented
773	#486	C₂²×C₇	1	1	yes	characteristic, complemented
774	#486	C₂²×C₇	1	1	yes	characteristic, complemented
775	#485	C₂²×C₇	1	1	yes	characteristic, complemented
776	#485	C₂²×C₇	1	1	yes	characteristic, complemented
777	#485	C₂²×C₇	1	1	yes	characteristic, complemented
778	#485	C₂²×C₇	1	1	yes	characteristic, complemented
779	#484	C₂²×C₇	1	1	yes	characteristic, complemented
780	#483	C₂²×C₇	1	1	yes	characteristic, complemented
781	#482	C₂²×C₇	1	1	yes	characteristic
782	#482	C₂²×C₇	1	1	yes	characteristic
783	#482	C₂²×C₇	1	1	yes	characteristic
784	#482	C₂²×C₇	1	1	yes	characteristic
785	#482	C₂²×C₇	1	1	yes	characteristic
786	#482	C₂²×C₇	1	1	yes	characteristic
787	#482	C₂²×C₇	1	1	yes	characteristic, complemented
788	#482	C₂²×C₇	1	1	yes	characteristic, complemented
789	#481	C₂²×C₇	1	1	yes	characteristic
790	#480	C₂²×C₇	1	1	yes	characteristic
791	#479	C₂²×C₇	1	1	yes	characteristic, complemented
792	#479	C₂²×C₇	1	1	yes	characteristic, complemented
793	#479	C₂²×C₇	1	1	yes	characteristic, complemented
794	#479	C₂²×C₇	1	1	yes	characteristic, complemented
795	#478	C₂²×C₇	1	1	yes	characteristic, complemented
796	#478	C₂²×C₇	1	1	yes	characteristic, complemented
797	#478	C₂²×C₇	1	1	yes	characteristic, complemented
798	#478	C₂²×C₇	1	1	yes	characteristic, complemented
799	#478	C₂²×C₇	1	1	yes	characteristic, complemented
800	#478	C₂²×C₇	1	1	yes	characteristic, complemented
801	#478	C₂²×C₇	1	1	yes	characteristic, complemented
802	#478	C₂²×C₇	1	1	yes	characteristic, complemented
803	#477	C₂²×C₇	1	1	yes	characteristic, complemented
804	#476	C₂²×C₇	1	1	yes	characteristic, complemented
805	#475	C₂²×C₇	1	1	yes	characteristic, complemented
806	#474	C₂²×C₇	1	1	yes	characteristic, complemented
807	#470	C₂²×C₇	1	1	yes	characteristic, complemented
808	#469	C₂²×C₇	1	1	yes	characteristic
809	#469	C₂²×C₇	1	1	yes	characteristic
810	#469	C₂²×C₇	1	1	yes	characteristic, complemented
811	#468	C₂²×C₇	1	1	yes	characteristic, complemented
812	#468	C₂²×C₇	1	1	yes	characteristic, complemented
813	#468	C₂²×C₇	1	1	yes	characteristic, complemented
814	#468	C₂²×C₇	1	1	yes	characteristic, complemented
815	#467	C₂²×C₇	1	1	yes	characteristic, complemented
816	#466	C₂²×C₇	1	1	yes	characteristic
817	#466	C₂²×C₇	1	1	yes	characteristic
818	#466	C₂²×C₇	1	1	yes	characteristic, complemented
819	#465	C₂²×C₇	1	1	yes	characteristic, complemented
820	#465	C₂²×C₇	1	1	yes	characteristic, complemented
821	#465	C₂²×C₇	1	1	yes	characteristic, complemented
822	#465	C₂²×C₇	1	1	yes	characteristic, complemented
823	#464	C₂²×C₇	1	1	yes	characteristic, complemented
824	#464	C₂²×C₇	1	1	yes	characteristic, complemented
825	#464	C₂²×C₇	1	1	yes	characteristic, complemented
826	#464	C₂²×C₇	1	1	yes	characteristic, complemented
827	#463	C₂²×C₇	1	1	yes	characteristic
828	#463	C₂²×C₇	1	1	yes	characteristic
829	#463	C₂²×C₇	1	1	yes	characteristic
830	#463	C₂²×C₇	1	1	yes	characteristic
831	#463	C₂²×C₇	1	1	yes	characteristic
832	#463	C₂²×C₇	1	1	yes	characteristic
833	#463	C₂²×C₇	1	1	yes	characteristic, complemented
834	#463	C₂²×C₇	1	1	yes	characteristic, complemented
835	#460	C₂²×C₇	1	1	yes	characteristic, complemented
836	#460	C₂²×C₇	1	1	yes	characteristic, complemented
837	#459	C₂²×C₇	1	1	yes	characteristic
838	#459	C₂²×C₇	1	1	yes	characteristic
839	#452	C₂²×C₇	1	1	yes	characteristic, complemented
840	#452	C₂²×C₇	1	1	yes	characteristic, complemented
841	#451	C₂²×C₇	1	1	yes	characteristic, complemented
842	#450	C₂²×C₇	1	1	yes	characteristic, complemented
843	#450	C₂²×C₇	1	1	yes	characteristic, complemented
844	#450	C₂²×C₇	1	1	yes	characteristic, complemented
845	#449	C₂²×C₇	1	1	yes	characteristic
846	#449	C₂²×C₇	1	1	yes	characteristic
847	#448	C₂²×C₇	1	1	yes	characteristic
848	#448	C₂²×C₇	1	1	yes	characteristic
849	#448	C₂²×C₇	1	1	yes	characteristic, complemented
850	#447	C₂²×C₇	1	1	yes	characteristic
851	#447	C₂²×C₇	1	1	yes	characteristic
852	#447	C₂²×C₇	1	1	yes	characteristic
853	#447	C₂²×C₇	1	1	yes	characteristic
854	#447	C₂²×C₇	1	1	yes	characteristic, complemented
855	#442	C₂²×C₇	1	1	yes	characteristic
856	#442	C₂²×C₇	1	1	yes	characteristic
857	#442	C₂²×C₇	1	1	yes	characteristic, complemented
858	#441	C₂²×C₇	1	1	yes	characteristic, complemented
859	#440	C₂²×C₇	1	1	yes	characteristic, complemented
860	#440	C₂²×C₇	1	1	yes	characteristic, complemented
861	#440	C₂²×C₇	1	1	yes	characteristic, complemented
862	#440	C₂²×C₇	1	1	yes	characteristic, complemented
863	C₄×Q₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
864	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
865	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
866	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
867	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
868	C₄×D₈	C₂²×C₇	1	1	yes	characteristic
869	C₄×D₈	C₂²×C₇	1	1	yes	characteristic
870	C₄×D₈	C₂²×C₇	1	1	yes	characteristic, complemented
871	#433	C₂²×C₇	1	1	yes	characteristic, complemented
872	#433	C₂²×C₇	1	1	yes	characteristic, complemented
873	#433	C₂²×C₇	1	1	yes	characteristic, complemented
874	#433	C₂²×C₇	1	1	yes	characteristic, complemented
875	#432	C₂²×C₇	1	1	yes	characteristic, complemented
876	#432	C₂²×C₇	1	1	yes	characteristic, complemented
877	#431	C₂²×C₇	1	1	yes	characteristic, complemented
878	#431	C₂²×C₇	1	1	yes	characteristic, complemented
879	#423	C₂²×C₇	1	1	yes	characteristic, complemented
880	C₂×C₄⋊C₈	C₂²×C₇	1	1	yes	characteristic, complemented
881	#408	C₂²×C₇	1	1	yes	characteristic
882	#408	C₂²×C₇	1	1	yes	characteristic
883	#405	C₂²×C₇	1	1	yes	characteristic, complemented
884	#405	C₂²×C₇	1	1	yes	characteristic, complemented
885	C₂³×C₇	—	2	1	no	—
886	C₂³×C₇	—	2	1	no	—
887	C₂³×C₇	—	2	1	no	—
888	C₂³×C₇	—	2	1	no	—
889	C₂³×C₇	—	2	1	no	—
890	C₂³×C₇	—	4	2	no	—
891	C₂³×C₇	—	4	2	no	—
892	C₂³×C₇	—	8	1	no	—
893	C₂³×C₇	—	8	1	no	—
894	C₂³×C₇	—	8	1	no	—
895	C₂³×C₇	—	8	1	no	—
896	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
897	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
898	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
899	C₇×Q₈	—	2	1	no	—
900	C₇×Q₈	—	2	1	no	—
901	C₇×Q₈	—	2	1	no	—
902	C₇×Q₈	—	2	1	no	—
903	C₇×Q₈	—	2	1	no	—
904	C₇×Q₈	—	2	1	no	—
905	C₇×Q₈	—	4	1	no	—
906	C₇×Q₈	—	4	2	no	—
907	C₇×Q₈	—	8	1	no	—
908	C₇×Q₈	—	8	1	no	—
909	C₇×Q₈	—	8	1	no	—
910	C₇×Q₈	—	8	1	no	—
911	C₇×D₄	—	2	1	no	—
912	C₇×D₄	—	2	1	no	—
913	C₇×D₄	—	2	1	no	—
914	C₇×D₄	—	2	1	no	—
915	C₇×D₄	—	2	1	no	—
916	C₇×D₄	—	2	1	no	—
917	C₇×D₄	—	2	1	no	—
918	C₇×D₄	—	2	1	no	—
919	C₇×D₄	—	2	1	no	—
920	C₇×D₄	—	2	1	no	—
921	C₇×D₄	—	4	1	no	—
922	C₇×D₄	—	4	1	no	—
923	C₇×D₄	—	4	1	no	—
924	C₇×D₄	—	4	2	no	—
925	C₇×D₄	—	4	2	no	—
926	C₇×D₄	—	4	2	no	—
927	C₇×D₄	—	8	1	no	—
928	C₇×D₄	—	8	1	no	—
929	C₇×D₄	—	8	1	no	—
930	C₇×D₄	—	8	1	no	—
931	C₇×D₄	—	8	1	no	—
932	C₇×D₄	—	8	1	no	—
933	C₇×D₄	—	8	1	no	—
934	C₇×D₄	—	8	1	no	—
935	C₇×D₄	—	8	1	no	—
936	C₇×D₄	—	8	1	no	—
937	C₇×D₄	—	8	1	no	—
938	C₇×D₄	—	8	1	no	—
939	C₇×D₄	—	8	1	no	—
940	C₇×D₄	—	8	1	no	—
941	C₂×C₄×C₇	—	2	1	no	—
942	C₂×C₄×C₇	—	2	1	no	—
943	C₂×C₄×C₇	—	2	1	no	—
944	C₂×C₄×C₇	—	2	1	no	—
945	C₂×C₄×C₇	—	2	1	no	—
946	C₂×C₄×C₇	—	2	1	no	—
947	C₂×C₄×C₇	—	2	1	no	—
948	C₂×C₄×C₇	—	2	1	no	—
949	C₂×C₄×C₇	—	2	1	no	—
950	C₂×C₄×C₇	—	2	1	no	—
951	C₂×C₄×C₇	—	2	1	no	—
952	C₂×C₄×C₇	—	2	1	no	—
953	C₂×C₄×C₇	—	2	1	no	—
954	C₂×C₄×C₇	—	2	1	no	—
955	C₂×C₄×C₇	—	2	1	no	—
956	C₂×C₄×C₇	—	2	1	no	—
957	C₂×C₄×C₇	—	2	1	no	—
958	C₂×C₄×C₇	—	4	1	no	—
959	C₂×C₄×C₇	—	4	1	no	—
960	C₂×C₄×C₇	—	4	1	no	—
961	C₂×C₄×C₇	—	4	1	no	—
962	C₂×C₄×C₇	—	4	1	no	—
963	C₂×C₄×C₇	—	4	1	no	—
964	C₂×C₄×C₇	—	4	2	no	—
965	C₂×C₄×C₇	—	4	2	no	—
966	C₂×C₄×C₇	—	4	2	no	—
967	C₂×C₄×C₇	—	4	2	no	—
968	C₂×C₄×C₇	—	4	2	no	—
969	C₂×C₄×C₇	—	8	1	no	—
970	C₂×C₄×C₇	—	8	1	no	—
971	C₂×C₄×C₇	—	8	1	no	—
972	C₂×C₄×C₇	—	8	1	no	—
973	C₂×C₄×C₇	—	8	1	no	—
974	C₂×C₄×C₇	—	8	1	no	—
975	C₂×C₄×C₇	—	8	1	no	—
976	C₂×C₄×C₇	—	8	1	no	—
977	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
978	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
979	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
980	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
981	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
982	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
983	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
984	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
985	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
986	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
987	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
988	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
989	C₇×C₈	—	2	1	no	—
990	C₇×C₈	—	2	1	no	—
991	C₇×C₈	—	2	1	no	—
992	C₇×C₈	—	2	1	no	—
993	C₇×C₈	—	2	1	no	—
994	C₇×C₈	—	2	1	no	—
995	C₇×C₈	—	2	1	no	—
996	C₇×C₈	—	2	1	no	—
997	C₂×#41	—	2	1	no	—
998	C₂×#41	—	2	1	no	—
999	C₂×#41	C₂³×C₇	1	1	yes	characteristic
1000	C₂×#41	C₂³×C₇	1	1	yes	characteristic
1001	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
1002	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
1003	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
1004	C₂³×C₄	—	2	1	no	—
1005	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
1006	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
1007	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1008	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1009	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1010	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1011	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1012	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1013	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1014	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1015	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1016	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1017	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1018	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1019	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1020	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1021	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
1022	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
1023	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
1024	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
1025	C₄⋊Q₈	—	2	1	no	—
1026	C₄⋊Q₈	—	2	1	no	—
1027	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1028	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1029	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1030	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1031	#127	—	2	1	no	—
1032	#127	—	2	1	no	—
1033	#127	C₂³×C₇	1	1	yes	characteristic
1034	#127	C₂³×C₇	1	1	yes	characteristic
1035	#126	—	2	1	no	—
1036	#126	—	2	1	no	—
1037	#126	—	2	1	no	—
1038	#126	—	2	1	no	—
1039	#126	—	2	1	no	—
1040	#126	—	2	1	no	—
1041	#126	—	2	1	no	—
1042	#126	—	2	1	no	—
1043	#126	—	2	1	no	—
1044	#126	—	2	1	no	—
1045	#126	—	2	1	no	—
1046	#126	—	2	1	no	—
1047	#125	—	2	1	no	—
1048	#125	C₂³×C₇	1	1	yes	characteristic
1049	#125	C₂³×C₇	1	1	yes	characteristic
1050	#125	C₂³×C₇	1	1	yes	characteristic
1051	#125	C₂³×C₇	1	1	yes	characteristic
1052	#124	—	2	1	no	—
1053	#124	—	2	1	no	—
1054	#124	—	2	1	no	—
1055	#124	—	2	1	no	—
1056	#124	—	2	1	no	—
1057	#124	—	2	1	no	—
1058	#124	—	2	1	no	—
1059	#124	—	2	1	no	—
1060	#124	—	2	1	no	—
1061	#124	—	2	1	no	—
1062	#124	—	2	1	no	—
1063	#124	—	2	1	no	—
1064	#124	—	2	1	no	—
1065	#124	C₂³×C₇	1	1	yes	characteristic
1066	#124	C₂³×C₇	1	1	yes	characteristic
1067	#124	C₂³×C₇	1	1	yes	characteristic
1068	#124	C₂³×C₇	1	1	yes	characteristic
1069	#124	C₂³×C₇	1	1	yes	characteristic
1070	#124	C₂³×C₇	1	1	yes	characteristic
1071	#123	—	2	1	no	—
1072	#123	—	2	1	no	—
1073	#123	—	2	1	no	—
1074	#123	—	2	1	no	—
1075	#123	—	2	1	no	—
1076	#123	—	2	1	no	—
1077	#123	—	2	1	no	—
1078	#123	—	2	1	no	—
1079	#123	—	2	1	no	—
1080	#123	—	2	1	no	—
1081	#123	—	2	1	no	—
1082	#123	—	2	1	no	—
1083	#123	—	2	1	no	—
1084	#123	—	2	1	no	—
1085	#123	—	2	1	no	—
1086	#123	—	2	1	no	—
1087	#123	—	2	1	no	—
1088	#123	—	2	1	no	—
1089	C₂²⋊Q₈	—	2	1	no	—
1090	C₂²⋊Q₈	—	2	1	no	—
1091	C₂²⋊Q₈	—	2	1	no	—
1092	C₂²⋊Q₈	—	2	1	no	—
1093	C₂²⋊Q₈	—	2	1	no	—
1094	C₂²⋊Q₈	—	2	1	no	—
1095	C₂²⋊Q₈	—	2	1	no	—
1096	C₂²⋊Q₈	—	2	1	no	—
1097	C₂²⋊Q₈	—	2	1	no	—
1098	C₂²⋊Q₈	—	2	1	no	—
1099	C₂²⋊Q₈	—	2	1	no	—
1100	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1101	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1102	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1103	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1104	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1105	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1106	#121	—	2	1	no	—
1107	#121	—	2	1	no	—
1108	#121	—	2	1	no	—
1109	#121	—	2	1	no	—
1110	#121	—	2	1	no	—
1111	#121	—	2	1	no	—
1112	#121	—	2	1	no	—
1113	#121	—	2	1	no	—
1114	#121	—	2	1	no	—
1115	#121	—	2	1	no	—
1116	#121	—	2	1	no	—
1117	#121	C₂³×C₇	1	1	yes	characteristic
1118	#121	C₂³×C₇	1	1	yes	characteristic
1119	#121	C₂³×C₇	1	1	yes	characteristic
1120	#121	C₂³×C₇	1	1	yes	characteristic
1121	#121	C₂³×C₇	1	1	yes	characteristic
1122	#121	C₂³×C₇	1	1	yes	characteristic
1123	#121	C₂³×C₇	1	1	yes	characteristic
1124	#121	C₂³×C₇	1	1	yes	characteristic
1125	#121	C₂³×C₇	1	1	yes	characteristic
1126	#121	C₂³×C₇	1	1	yes	characteristic
1127	#120	—	2	1	no	—
1128	#120	—	2	1	no	—
1129	#120	—	2	1	no	—
1130	#120	—	2	1	no	—
1131	#120	—	2	1	no	—
1132	#120	—	2	1	no	—
1133	C₄×Q₈	—	2	1	no	—
1134	C₄×Q₈	—	2	1	no	—
1135	C₄×Q₈	—	2	1	no	—
1136	C₄×Q₈	—	2	1	no	—
1137	C₄×Q₈	C₇×D₄	1	1	yes	characteristic
1138	C₄×Q₈	C₇×D₄	1	1	yes	characteristic
1139	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1140	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1141	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1142	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1143	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1144	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1145	C₄×D₄	—	2	1	no	—
1146	C₄×D₄	—	2	1	no	—
1147	C₄×D₄	—	2	1	no	—
1148	C₄×D₄	—	2	1	no	—
1149	C₄×D₄	—	2	1	no	—
1150	C₄×D₄	—	2	1	no	—
1151	C₄×D₄	—	2	1	no	—
1152	C₄×D₄	—	2	1	no	—
1153	C₄×D₄	—	2	1	no	—
1154	C₄×D₄	—	2	1	no	—
1155	C₄×D₄	—	2	1	no	—
1156	C₄×D₄	—	2	1	no	—
1157	C₄×D₄	—	2	1	no	—
1158	C₄×D₄	—	2	1	no	—
1159	C₄×D₄	C₇×D₄	1	1	yes	characteristic
1160	C₄×D₄	C₇×D₄	1	1	yes	characteristic
1161	C₄×D₄	C₇×D₄	1	1	yes	characteristic
1162	C₄×D₄	C₇×D₄	1	1	yes	characteristic
1163	C₄×D₄	C₇×D₄	1	1	yes	characteristic
1164	C₄×D₄	C₇×D₄	1	1	yes	characteristic
1165	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1166	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1167	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1168	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1169	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1170	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1171	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1172	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1173	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1174	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1175	#117	—	2	1	no	—
1176	#117	—	2	1	no	—
1177	#117	—	2	1	no	—
1178	#117	—	2	1	no	—
1179	#117	—	2	1	no	—
1180	#117	—	2	1	no	—
1181	#117	—	2	1	no	—
1182	#117	—	2	1	no	—
1183	#117	—	2	1	no	—
1184	#117	C₂³×C₇	1	1	yes	characteristic
1185	#117	C₂³×C₇	1	1	yes	characteristic
1186	#117	C₂³×C₇	1	1	yes	characteristic
1187	#117	C₂³×C₇	1	1	yes	characteristic
1188	#117	C₂³×C₇	1	1	yes	characteristic
1189	#117	C₂³×C₇	1	1	yes	characteristic
1190	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1191	C₂×C₂²⋊C₄	—	2	1	no	—
1192	C₂×C₂²⋊C₄	—	2	1	no	—
1193	C₂×C₂²⋊C₄	—	2	1	no	—
1194	C₂×C₂²⋊C₄	—	2	1	no	—
1195	C₂×C₂²⋊C₄	—	2	1	no	—
1196	C₂×C₄²	—	2	1	no	—
1197	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1198	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1199	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1200	#107	C₂³×C₇	1	1	yes	characteristic
1201	#107	C₂³×C₇	1	1	yes	characteristic
1202	#107	C₂³×C₇	1	1	yes	characteristic
1203	#107	C₂³×C₇	1	1	yes	characteristic
1204	#107	C₂³×C₇	1	1	yes	characteristic
1205	#107	C₂³×C₇	1	1	yes	characteristic
1206	#107	C₂³×C₇	1	1	yes	characteristic
1207	#107	C₂³×C₇	1	1	yes	characteristic
1208	#106	C₂³×C₇	1	1	yes	characteristic
1209	#106	C₂³×C₇	1	1	yes	characteristic
1210	#106	C₂³×C₇	1	1	yes	characteristic
1211	#106	C₂³×C₇	1	1	yes	characteristic
1212	#106	C₂³×C₇	1	1	yes	characteristic
1213	#106	C₂³×C₇	1	1	yes	characteristic
1214	#106	C₂³×C₇	1	1	yes	characteristic
1215	#106	C₂³×C₇	1	1	yes	characteristic
1216	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1217	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1218	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1219	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1220	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1221	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1222	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1223	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1224	#103	C₂³×C₇	1	1	yes	characteristic
1225	#103	C₂³×C₇	1	1	yes	characteristic
1226	#103	C₂³×C₇	1	1	yes	characteristic
1227	#103	C₂³×C₇	1	1	yes	characteristic
1228	#103	C₂³×C₇	1	1	yes	characteristic
1229	#103	C₂³×C₇	1	1	yes	characteristic
1230	#103	C₂³×C₇	1	1	yes	characteristic
1231	#103	C₂³×C₇	1	1	yes	characteristic
1232	#103	C₂³×C₇	1	1	yes	characteristic
1233	#103	C₂³×C₇	1	1	yes	characteristic
1234	#103	C₂³×C₇	1	1	yes	characteristic
1235	#103	C₂³×C₇	1	1	yes	characteristic
1236	#102	C₂³×C₇	1	1	yes	characteristic
1237	#102	C₂³×C₇	1	1	yes	characteristic
1238	#102	C₂³×C₇	1	1	yes	characteristic
1239	#102	C₂³×C₇	1	1	yes	characteristic
1240	#102	C₂³×C₇	1	1	yes	characteristic
1241	#102	C₂³×C₇	1	1	yes	characteristic
1242	#102	C₂³×C₇	1	1	yes	characteristic
1243	#102	C₂³×C₇	1	1	yes	characteristic
1244	#102	C₂³×C₇	1	1	yes	characteristic
1245	#102	C₂³×C₇	1	1	yes	characteristic
1246	#102	C₂³×C₇	1	1	yes	characteristic
1247	#102	C₂³×C₇	1	1	yes	characteristic
1248	#102	C₂³×C₇	1	1	yes	characteristic
1249	#102	C₂³×C₇	1	1	yes	characteristic
1250	#102	C₂³×C₇	1	1	yes	characteristic
1251	#102	C₂³×C₇	1	1	yes	characteristic
1252	#102	C₂³×C₇	1	1	yes	characteristic
1253	#102	C₂³×C₇	1	1	yes	characteristic
1254	#102	C₂³×C₇	1	1	yes	characteristic
1255	#102	C₂³×C₇	1	1	yes	characteristic
1256	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1257	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1258	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1259	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1260	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1261	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1262	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1263	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1264	#97	C₂³×C₇	1	1	yes	characteristic
1265	#97	C₂³×C₇	1	1	yes	characteristic
1266	#97	C₂³×C₇	1	1	yes	characteristic
1267	#97	C₂³×C₇	1	1	yes	characteristic
1268	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1269	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1270	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1271	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1272	C₂²×C₇	—	2	1	no	—
1273	C₂²×C₇	—	2	1	no	—
1274	C₂²×C₇	—	2	1	no	—
1275	C₂²×C₇	—	2	1	no	—
1276	C₂²×C₇	—	2	1	no	—
1277	C₂²×C₇	—	2	1	no	—
1278	C₂²×C₇	—	2	1	no	—
1279	C₂²×C₇	—	2	1	no	—
1280	C₂²×C₇	—	2	1	no	—
1281	C₂²×C₇	—	4	1	no	—
1282	C₂²×C₇	—	4	1	no	—
1283	C₂²×C₇	—	4	1	no	—
1284	C₂²×C₇	—	4	1	no	—
1285	C₂²×C₇	—	4	1	no	—
1286	C₂²×C₇	—	4	1	no	—
1287	C₂²×C₇	—	4	1	no	—
1288	C₂²×C₇	—	4	1	no	—
1289	C₂²×C₇	—	4	1	no	—
1290	C₂²×C₇	—	4	1	no	—
1291	C₂²×C₇	—	4	1	no	—
1292	C₂²×C₇	—	4	1	no	—
1293	C₂²×C₇	—	4	1	no	—
1294	C₂²×C₇	—	4	1	no	—
1295	C₂²×C₇	—	4	1	no	—
1296	C₂²×C₇	—	8	4	no	—
1297	C₂²×C₇	—	16	2	no	—
1298	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1299	C₄×C₇	—	2	1	no	—
1300	C₄×C₇	—	2	1	no	—
1301	C₄×C₇	—	2	1	no	—
1302	C₄×C₇	—	2	1	no	—
1303	C₄×C₇	—	2	1	no	—
1304	C₄×C₇	—	2	1	no	—
1305	C₄×C₇	—	2	1	no	—
1306	C₄×C₇	—	2	1	no	—
1307	C₄×C₇	—	2	1	no	—
1308	C₄×C₇	—	2	1	no	—
1309	C₄×C₇	—	2	1	no	—
1310	C₄×C₇	—	4	1	no	—
1311	C₄×C₇	—	4	1	no	—
1312	C₄×C₇	—	4	1	no	—
1313	C₄×C₇	—	4	1	no	—
1314	C₄×C₇	—	4	1	no	—
1315	C₄×C₇	—	4	1	no	—
1316	C₄×C₇	—	4	1	no	—
1317	C₄×C₇	—	4	1	no	—
1318	C₄×C₇	—	4	1	no	—
1319	C₄×C₇	—	4	1	no	—
1320	C₄×C₇	—	4	1	no	—
1321	C₄×C₇	#585	1	1	yes	characteristic
1322	C₄×C₇	#585	1	1	yes	characteristic
1323	C₂⁴	—	2	1	no	—
1324	C₂⁴	—	2	1	no	—
1325	#41	—	4	1	no	—
1326	#41	—	4	1	no	—
1327	#41	—	4	1	no	—
1328	#41	—	4	1	no	—
1329	#41	—	8	2	no	—
1330	#41	—	8	2	no	—
1331	C₂×Q₈	—	2	1	no	—
1332	C₂×Q₈	—	2	1	no	—
1333	C₂×Q₈	—	2	1	no	—
1334	C₂×Q₈	—	2	1	no	—
1335	C₂×Q₈	—	2	1	no	—
1336	C₂×Q₈	—	4	1	no	—
1337	C₂×Q₈	—	4	1	no	—
1338	C₂×Q₈	C₂×C₇×D₄	1	1	yes	characteristic
1339	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1340	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1341	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1342	C₂×D₄	—	2	1	no	—
1343	C₂×D₄	—	2	1	no	—
1344	C₂×D₄	—	2	1	no	—
1345	C₂×D₄	—	2	1	no	—
1346	C₂×D₄	—	2	1	no	—
1347	C₂×D₄	—	2	1	no	—
1348	C₂×D₄	—	2	1	no	—
1349	C₂×D₄	—	2	1	no	—
1350	C₂×D₄	—	2	1	no	—
1351	C₂×D₄	—	2	1	no	—
1352	C₂×D₄	—	2	1	no	—
1353	C₂×D₄	—	2	1	no	—
1354	C₂×D₄	—	2	1	no	—
1355	C₂×D₄	—	2	1	no	—
1356	C₂×D₄	—	2	1	no	—
1357	C₂×D₄	—	2	1	no	—
1358	C₂×D₄	—	2	1	no	—
1359	C₂×D₄	—	4	1	no	—
1360	C₂×D₄	—	4	1	no	—
1361	C₂×D₄	—	4	1	no	—
1362	C₂×D₄	—	4	1	no	—
1363	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1364	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1365	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1366	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1367	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1368	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1369	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1370	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1371	C₂²×C₄	—	2	1	no	—
1372	C₂²×C₄	—	2	1	no	—
1373	C₂²×C₄	—	2	1	no	—
1374	C₂²×C₄	—	2	1	no	—
1375	C₂²×C₄	—	2	1	no	—
1376	C₂²×C₄	—	2	1	no	—
1377	C₂²×C₄	—	2	1	no	—
1378	C₂²×C₄	—	2	1	no	—
1379	C₂²×C₄	—	2	1	no	—
1380	C₂²×C₄	—	2	1	no	—
1381	C₂²×C₄	—	2	1	no	—
1382	C₂²×C₄	—	2	1	no	—
1383	C₂²×C₄	—	2	1	no	—
1384	C₂²×C₄	—	8	2	no	—
1385	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1386	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1387	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1388	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1389	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1390	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1391	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1392	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1393	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1394	Q₁₆	—	4	1	no	—
1395	Q₁₆	—	4	1	no	—
1396	SD₁₆	—	4	1	no	—
1397	SD₁₆	—	4	1	no	—
1398	SD₁₆	—	4	1	no	—
1399	SD₁₆	—	4	1	no	—
1400	SD₁₆	—	4	1	no	—
1401	SD₁₆	—	4	1	no	—
1402	SD₁₆	—	4	1	no	—
1403	SD₁₆	—	4	1	no	—
1404	D₈	—	4	1	no	—
1405	D₈	—	4	1	no	—
1406	D₈	—	4	1	no	—
1407	D₈	—	4	1	no	—
1408	D₈	—	4	1	no	—
1409	D₈	—	4	1	no	—
1410	M₁₆	—	4	1	no	—
1411	M₁₆	—	4	1	no	—
1412	C₂×C₈	—	4	1	no	—
1413	C₂×C₈	—	4	1	no	—
1414	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1415	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1416	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1417	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1418	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1419	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1420	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1421	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1422	C₄⋊C₄	—	2	1	no	—
1423	C₄⋊C₄	—	2	1	no	—
1424	C₄⋊C₄	—	2	1	no	—
1425	C₄⋊C₄	—	2	1	no	—
1426	C₄⋊C₄	—	2	1	no	—
1427	C₄⋊C₄	—	2	1	no	—
1428	C₄⋊C₄	—	2	1	no	—
1429	C₄⋊C₄	—	2	1	no	—
1430	C₄⋊C₄	—	2	1	no	—
1431	C₄⋊C₄	—	2	1	no	—
1432	C₄⋊C₄	—	2	1	no	—
1433	C₄⋊C₄	—	2	1	no	—
1434	C₄⋊C₄	—	2	1	no	—
1435	C₄⋊C₄	—	2	1	no	—
1436	C₄⋊C₄	—	2	1	no	—
1437	C₄⋊C₄	—	2	1	no	—
1438	C₄⋊C₄	—	2	1	no	—
1439	C₄⋊C₄	—	2	1	no	—
1440	C₄⋊C₄	—	2	1	no	—
1441	C₄⋊C₄	—	2	1	no	—
1442	C₄⋊C₄	—	2	1	no	—
1443	C₄⋊C₄	—	2	1	no	—
1444	C₄⋊C₄	—	2	1	no	—
1445	C₄⋊C₄	—	2	1	no	—
1446	C₄⋊C₄	—	2	1	no	—
1447	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1448	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1449	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1450	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1451	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1452	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1453	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1454	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1455	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1456	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1457	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1458	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1459	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1460	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1461	C₂²⋊C₄	—	2	1	no	—
1462	C₂²⋊C₄	—	2	1	no	—
1463	C₂²⋊C₄	—	2	1	no	—
1464	C₂²⋊C₄	—	2	1	no	—
1465	C₂²⋊C₄	—	2	1	no	—
1466	C₂²⋊C₄	—	2	1	no	—
1467	C₂²⋊C₄	—	2	1	no	—
1468	C₂²⋊C₄	—	2	1	no	—
1469	C₂²⋊C₄	—	2	1	no	—
1470	C₂²⋊C₄	—	2	1	no	—
1471	C₂²⋊C₄	—	2	1	no	—
1472	C₂²⋊C₄	—	2	1	no	—
1473	C₂²⋊C₄	—	2	1	no	—
1474	C₂²⋊C₄	—	2	1	no	—
1475	C₂²⋊C₄	—	2	1	no	—
1476	C₂²⋊C₄	—	2	1	no	—
1477	C₂²⋊C₄	—	2	1	no	—
1478	C₂²⋊C₄	—	2	1	no	—
1479	C₂²⋊C₄	—	2	1	no	—
1480	C₂²⋊C₄	—	2	1	no	—
1481	C₂²⋊C₄	—	2	1	no	—
1482	C₂²⋊C₄	—	2	1	no	—
1483	C₂²⋊C₄	—	2	1	no	—
1484	C₂²⋊C₄	—	2	1	no	—
1485	C₂²⋊C₄	—	2	1	no	—
1486	C₂²⋊C₄	—	2	1	no	—
1487	C₂²⋊C₄	—	2	1	no	—
1488	C₂²⋊C₄	—	2	1	no	—
1489	C₂²⋊C₄	—	2	1	no	—
1490	C₂²⋊C₄	—	2	1	no	—
1491	C₂²⋊C₄	—	2	1	no	—
1492	C₂²⋊C₄	—	2	1	no	—
1493	C₂²⋊C₄	—	2	1	no	—
1494	C₂²⋊C₄	—	2	1	no	—
1495	C₂²⋊C₄	—	2	1	no	—
1496	C₂²⋊C₄	—	2	1	no	—
1497	C₂²⋊C₄	—	2	1	no	—
1498	C₂²⋊C₄	—	2	1	no	—
1499	C₂²⋊C₄	—	2	1	no	—
1500	C₂²⋊C₄	—	2	1	no	—
1501	C₂²⋊C₄	—	2	1	no	—
1502	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1503	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1504	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1505	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1506	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1507	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1508	C₄²	—	2	1	no	—
1509	C₄²	—	2	1	no	—
1510	C₄²	—	2	1	no	—
1511	C₄²	—	2	1	no	—
1512	C₄²	—	2	1	no	—
1513	C₄²	—	2	1	no	—
1514	C₄²	—	2	1	no	—
1515	C₄²	—	2	1	no	—
1516	C₄²	—	2	1	no	—
1517	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1518	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1519	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1520	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1521	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1522	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1523	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1524	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1525	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1526	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1527	C₂×C₇	—	4	1	no	—
1528	C₂×C₇	—	4	1	no	—
1529	C₂×C₇	—	4	1	no	—
1530	C₂×C₇	—	8	1	no	—
1531	C₂×C₇	—	8	1	no	—
1532	C₂×C₇	—	8	1	no	—
1533	C₂×C₇	—	8	1	no	—
1534	C₂×C₇	—	8	1	no	—
1535	C₂×C₇	#3449	1	1	yes	characteristic
1536	C₂×C₇	#3584	1	1	yes	characteristic
1537	C₂×C₇	#3585	1	1	yes	characteristic
1538	C₂³	—	2	1	no	—
1539	C₂³	—	2	1	no	—
1540	C₂³	—	2	1	no	—
1541	C₂³	—	2	1	no	—
1542	C₂³	—	2	1	no	—
1543	C₂³	—	4	2	no	—
1544	C₂³	—	4	2	no	—
1545	C₂³	—	8	1	no	—
1546	C₂³	—	8	1	no	—
1547	C₂³	—	8	1	no	—
1548	C₂³	—	8	1	no	—
1549	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1550	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1551	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1552	Q₈	—	2	1	no	—
1553	Q₈	—	2	1	no	—
1554	Q₈	—	2	1	no	—
1555	Q₈	—	2	1	no	—
1556	Q₈	—	2	1	no	—
1557	Q₈	—	2	1	no	—
1558	Q₈	—	4	1	no	—
1559	Q₈	—	4	2	no	—
1560	Q₈	—	8	1	no	—
1561	Q₈	—	8	1	no	—
1562	Q₈	—	8	1	no	—
1563	Q₈	—	8	1	no	—
1564	D₄	—	2	1	no	—
1565	D₄	—	2	1	no	—
1566	D₄	—	2	1	no	—
1567	D₄	—	2	1	no	—
1568	D₄	—	2	1	no	—
1569	D₄	—	2	1	no	—
1570	D₄	—	2	1	no	—
1571	D₄	—	2	1	no	—
1572	D₄	—	2	1	no	—
1573	D₄	—	2	1	no	—
1574	D₄	—	4	1	no	—
1575	D₄	—	4	1	no	—
1576	D₄	—	4	1	no	—
1577	D₄	—	4	2	no	—
1578	D₄	—	4	2	no	—
1579	D₄	—	4	2	no	—
1580	D₄	—	8	1	no	—
1581	D₄	—	8	1	no	—
1582	D₄	—	8	1	no	—
1583	D₄	—	8	1	no	—
1584	D₄	—	8	1	no	—
1585	D₄	—	8	1	no	—
1586	D₄	—	8	1	no	—
1587	D₄	—	8	1	no	—
1588	D₄	—	8	1	no	—
1589	D₄	—	8	1	no	—
1590	D₄	—	8	1	no	—
1591	D₄	—	8	1	no	—
1592	D₄	—	8	1	no	—
1593	D₄	—	8	1	no	—
1594	C₂×C₄	—	2	1	no	—
1595	C₂×C₄	—	2	1	no	—
1596	C₂×C₄	—	2	1	no	—
1597	C₂×C₄	—	2	1	no	—
1598	C₂×C₄	—	2	1	no	—
1599	C₂×C₄	—	2	1	no	—
1600	C₂×C₄	—	2	1	no	—
1601	C₂×C₄	—	2	1	no	—
1602	C₂×C₄	—	2	1	no	—
1603	C₂×C₄	—	2	1	no	—
1604	C₂×C₄	—	2	1	no	—
1605	C₂×C₄	—	2	1	no	—
1606	C₂×C₄	—	2	1	no	—
1607	C₂×C₄	—	2	1	no	—
1608	C₂×C₄	—	2	1	no	—
1609	C₂×C₄	—	2	1	no	—
1610	C₂×C₄	—	2	1	no	—
1611	C₂×C₄	—	4	1	no	—
1612	C₂×C₄	—	4	1	no	—
1613	C₂×C₄	—	4	1	no	—
1614	C₂×C₄	—	4	1	no	—
1615	C₂×C₄	—	4	1	no	—
1616	C₂×C₄	—	4	1	no	—
1617	C₂×C₄	—	4	2	no	—
1618	C₂×C₄	—	4	2	no	—
1619	C₂×C₄	—	4	2	no	—
1620	C₂×C₄	—	4	2	no	—
1621	C₂×C₄	—	4	2	no	—
1622	C₂×C₄	—	8	1	no	—
1623	C₂×C₄	—	8	1	no	—
1624	C₂×C₄	—	8	1	no	—
1625	C₂×C₄	—	8	1	no	—
1626	C₂×C₄	—	8	1	no	—
1627	C₂×C₄	—	8	1	no	—
1628	C₂×C₄	—	8	1	no	—
1629	C₂×C₄	—	8	1	no	—
1630	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1631	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1632	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1633	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1634	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1635	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1636	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1637	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1638	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1639	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1640	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1641	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1642	C₈	—	2	1	no	—
1643	C₈	—	2	1	no	—
1644	C₈	—	2	1	no	—
1645	C₈	—	2	1	no	—
1646	C₈	—	2	1	no	—
1647	C₈	—	2	1	no	—
1648	C₈	—	2	1	no	—
1649	C₈	—	2	1	no	—
1650	C₇	#60998	1	1	yes	characteristic, direct product factor, Sylow
1651	C₂²	—	2	1	no	—
1652	C₂²	—	2	1	no	—
1653	C₂²	—	2	1	no	—
1654	C₂²	—	2	1	no	—
1655	C₂²	—	2	1	no	—
1656	C₂²	—	2	1	no	—
1657	C₂²	—	2	1	no	—
1658	C₂²	—	2	1	no	—
1659	C₂²	—	2	1	no	—
1660	C₂²	—	4	1	no	—
1661	C₂²	—	4	1	no	—
1662	C₂²	—	4	1	no	—
1663	C₂²	—	4	1	no	—
1664	C₂²	—	4	1	no	—
1665	C₂²	—	4	1	no	—
1666	C₂²	—	4	1	no	—
1667	C₂²	—	4	1	no	—
1668	C₂²	—	4	1	no	—
1669	C₂²	—	4	1	no	—
1670	C₂²	—	4	1	no	—
1671	C₂²	—	4	1	no	—
1672	C₂²	—	4	1	no	—
1673	C₂²	—	4	1	no	—
1674	C₂²	—	4	1	no	—
1675	C₂²	—	8	4	no	—
1676	C₂²	—	16	2	no	—
1677	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
1678	C₄	—	2	1	no	—
1679	C₄	—	2	1	no	—
1680	C₄	—	2	1	no	—
1681	C₄	—	2	1	no	—
1682	C₄	—	2	1	no	—
1683	C₄	—	2	1	no	—
1684	C₄	—	2	1	no	—
1685	C₄	—	2	1	no	—
1686	C₄	—	2	1	no	—
1687	C₄	—	2	1	no	—
1688	C₄	—	2	1	no	—
1689	C₄	—	4	1	no	—
1690	C₄	—	4	1	no	—
1691	C₄	—	4	1	no	—
1692	C₄	—	4	1	no	—
1693	C₄	—	4	1	no	—
1694	C₄	—	4	1	no	—
1695	C₄	—	4	1	no	—
1696	C₄	—	4	1	no	—
1697	C₄	—	4	1	no	—
1698	C₄	—	4	1	no	—
1699	C₄	—	4	1	no	—
1700	C₄	C₇×#585	1	1	yes	characteristic
1701	C₄	C₇×#585	1	1	yes	characteristic
1702	C₂	—	4	1	no	—
1703	C₂	—	4	1	no	—
1704	C₂	—	4	1	no	—
1705	C₂	—	8	1	no	—
1706	C₂	—	8	1	no	—
1707	C₂	—	8	1	no	—
1708	C₂	—	8	1	no	—
1709	C₂	—	8	1	no	—
1710	C₂	C₇×#3449	1	1	yes	characteristic
1711	C₂	C₇×#3584	1	1	yes	characteristic
1712	C₂	C₇×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₇	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₇
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₇ ◁ C₄×C₇×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇×#3510	C₂	semidirect
2. C₇×#3460	C₂	semidirect
3. C₇×#3256	C₂	semidirect
4. C₇×#3251	C₂	semidirect
5. C₇×#3250	C₂	semidirect
6. C₇×#3247	C₂	semidirect
7. C₇×#3244	C₂	semidirect
8. C₇×#3243	C₂	semidirect
9. C₇×#3240	C₂	semidirect
10. C₇×#3228	C₂	semidirect
11. C₇×#3224	C₂	semidirect
12. C₇×#3224	C₂	semidirect
13. C₇×#3213	C₂	semidirect
14. C₇×#3211	C₂	semidirect
15. C₇×#3201	C₂	semidirect
16. C₇×#3200	C₂	semidirect
17. C₇×#3199	C₂	semidirect
18. C₇×#3198	C₂	semidirect
19. C₇×#3179	C₂	semidirect
20. C₇×#3179	C₂	semidirect
21. C₇×#3175	C₂	semidirect
22. C₇×#3173	C₂	semidirect
23. C₇×#3126	C₂	semidirect
24. C₇×#3122	C₂	semidirect
25. C₇×#3121	C₂	semidirect
26. C₇×#3118	C₂	semidirect
27. C₇×#3114	C₂	semidirect
28. C₇×#3111	C₂	semidirect
29. C₇×#3105	C₂	semidirect
30. C₇×#3102	C₂	semidirect
31. C₇×#2925	C₂	semidirect
40. C₇×#544	C₂²	semidirect
45. C₇×#542	C₂²	semidirect
46. C₇×#542	C₂²	semidirect
47. C₇×#542	C₂²	semidirect
50. C₇×#540	C₂²	semidirect
57. C₇×#535	C₂²	semidirect
58. C₇×#533	C₂²	semidirect
61. C₇×#532	C₂²	semidirect
66. C₇×#529	C₂²	semidirect
67. C₇×#529	C₂²	semidirect
68. C₇×#529	C₂²	semidirect
69. C₂×C₇×#124	C₂²	semidirect
72. C₇×#519	C₂²	semidirect
73. C₇×#518	C₂²	semidirect
75. C₄×C₇×#41	C₂²	semidirect
76. C₂×C₄×C₇×D₄	C₂²	semidirect
77. C₇×#501	C₂²	semidirect
78. C₇×#501	C₂²	semidirect
79. C₇×#500	C₂²	semidirect
80. C₇×#498	C₂²	semidirect
85. C₇×#489	C₂²	semidirect
86. C₇×#489	C₂²	semidirect
87. C₇×#489	C₂²	semidirect
88. C₇×#489	C₂²	semidirect
89. C₇×#488	C₂²	semidirect
90. C₇×#488	C₂²	semidirect
91. C₇×#486	C₂²	semidirect
92. C₇×#486	C₂²	semidirect
93. C₇×#485	C₂²	semidirect
94. C₇×#485	C₂²	semidirect
95. C₇×#485	C₂²	semidirect
96. C₇×#485	C₂²	semidirect
97. C₇×#484	C₂²	semidirect
98. C₇×#483	C₂²	semidirect
105. C₇×#482	C₂²	semidirect
106. C₇×#482	C₂²	semidirect
109. C₇×#479	C₂²	semidirect
110. C₇×#479	C₂²	semidirect
111. C₇×#479	C₂²	semidirect
112. C₇×#479	C₂²	semidirect
113. C₇×#478	C₂²	semidirect
114. C₇×#478	C₂²	semidirect
115. C₇×#478	C₂²	semidirect
116. C₇×#478	C₂²	semidirect
117. C₇×#478	C₂²	semidirect
118. C₇×#478	C₂²	semidirect
119. C₇×#478	C₂²	semidirect
120. C₇×#478	C₂²	semidirect
121. C₇×#477	C₂²	semidirect
122. C₇×#476	C₂²	semidirect
123. C₇×#475	C₂²	semidirect
124. C₇×#474	C₂²	semidirect
125. C₇×#470	C₂²	semidirect
128. C₇×#469	C₂²	semidirect
129. C₇×#468	C₂²	semidirect
130. C₇×#468	C₂²	semidirect
131. C₇×#468	C₂²	semidirect
132. C₇×#468	C₂²	semidirect
133. C₇×#467	C₂²	semidirect
136. C₇×#466	C₂²	semidirect
137. C₇×#465	C₂²	semidirect
138. C₇×#465	C₂²	semidirect
139. C₇×#465	C₂²	semidirect
140. C₇×#465	C₂²	semidirect
141. C₇×#464	C₂²	semidirect
142. C₇×#464	C₂²	semidirect
143. C₇×#464	C₂²	semidirect
144. C₇×#464	C₂²	semidirect
151. C₇×#463	C₂²	semidirect
152. C₇×#463	C₂²	semidirect
153. C₇×#460	C₂²	semidirect
154. C₇×#460	C₂²	semidirect
157. C₇×#452	C₂²	semidirect
158. C₇×#452	C₂²	semidirect
159. C₇×#451	C₂²	semidirect
160. C₇×#450	C₂²	semidirect
161. C₇×#450	C₂²	semidirect
162. C₇×#450	C₂²	semidirect
167. C₇×#448	C₂²	semidirect
172. C₇×#447	C₂²	semidirect
175. C₇×#442	C₂²	semidirect
176. C₇×#441	C₂²	semidirect
177. C₇×#440	C₂²	semidirect
178. C₇×#440	C₂²	semidirect
179. C₇×#440	C₂²	semidirect
180. C₇×#440	C₂²	semidirect
181. C₄×C₇×Q₁₆	C₂²	semidirect
182. C₄×C₇×SD₁₆	C₂²	semidirect
183. C₄×C₇×SD₁₆	C₂²	semidirect
184. C₄×C₇×SD₁₆	C₂²	semidirect
185. C₄×C₇×SD₁₆	C₂²	semidirect
188. C₄×C₇×D₈	C₂²	semidirect
189. C₇×#433	C₂²	semidirect
190. C₇×#433	C₂²	semidirect
191. C₇×#433	C₂²	semidirect
192. C₇×#433	C₂²	semidirect
193. C₇×#432	C₂²	semidirect
194. C₇×#432	C₂²	semidirect
195. C₇×#431	C₂²	semidirect
196. C₇×#431	C₂²	semidirect
197. C₇×#423	C₂²	semidirect
198. C₂×C₇×C₄⋊C₈	C₂²	semidirect
201. C₇×#405	C₂²	semidirect
202. C₇×#405	C₂²	semidirect
203. #60998	C₇	direct (N × H)
479. #3510	C₂×C₇	semidirect
480. #3460	C₂×C₇	semidirect
481. #3256	C₂×C₇	semidirect
482. #3251	C₂×C₇	semidirect
483. #3250	C₂×C₇	semidirect
484. #3247	C₂×C₇	semidirect
485. #3244	C₂×C₇	semidirect
486. #3243	C₂×C₇	semidirect
487. #3240	C₂×C₇	semidirect
488. #3228	C₂×C₇	semidirect
489. #3224	C₂×C₇	semidirect
490. #3224	C₂×C₇	semidirect
491. #3213	C₂×C₇	semidirect
492. #3211	C₂×C₇	semidirect
493. #3201	C₂×C₇	semidirect
494. #3200	C₂×C₇	semidirect
495. #3199	C₂×C₇	semidirect
496. #3198	C₂×C₇	semidirect
497. #3179	C₂×C₇	semidirect
498. #3179	C₂×C₇	semidirect
499. #3175	C₂×C₇	semidirect
500. #3173	C₂×C₇	semidirect
501. #3126	C₂×C₇	semidirect
502. #3122	C₂×C₇	semidirect
503. #3121	C₂×C₇	semidirect
504. #3118	C₂×C₇	semidirect
505. #3114	C₂×C₇	semidirect
506. #3111	C₂×C₇	semidirect
507. #3105	C₂×C₇	semidirect
508. #3102	C₂×C₇	semidirect
509. #2925	C₂×C₇	semidirect
722. #544	C₂²×C₇	semidirect
727. #542	C₂²×C₇	semidirect
728. #542	C₂²×C₇	semidirect
729. #542	C₂²×C₇	semidirect
732. #540	C₂²×C₇	semidirect
739. #535	C₂²×C₇	semidirect
740. #533	C₂²×C₇	semidirect
743. #532	C₂²×C₇	semidirect
748. #529	C₂²×C₇	semidirect
749. #529	C₂²×C₇	semidirect
750. #529	C₂²×C₇	semidirect
751. C₂×#124	C₂²×C₇	semidirect
754. #519	C₂²×C₇	semidirect
755. #518	C₂²×C₇	semidirect
757. C₄×#41	C₂²×C₇	semidirect
758. C₂×C₄×D₄	C₂²×C₇	semidirect
759. #501	C₂²×C₇	semidirect
760. #501	C₂²×C₇	semidirect
761. #500	C₂²×C₇	semidirect
762. #498	C₂²×C₇	semidirect
767. #489	C₂²×C₇	semidirect
768. #489	C₂²×C₇	semidirect
769. #489	C₂²×C₇	semidirect
770. #489	C₂²×C₇	semidirect
771. #488	C₂²×C₇	semidirect
772. #488	C₂²×C₇	semidirect
773. #486	C₂²×C₇	semidirect
774. #486	C₂²×C₇	semidirect
775. #485	C₂²×C₇	semidirect
776. #485	C₂²×C₇	semidirect
777. #485	C₂²×C₇	semidirect
778. #485	C₂²×C₇	semidirect
779. #484	C₂²×C₇	semidirect
780. #483	C₂²×C₇	semidirect
787. #482	C₂²×C₇	semidirect
788. #482	C₂²×C₇	semidirect
791. #479	C₂²×C₇	semidirect
792. #479	C₂²×C₇	semidirect
793. #479	C₂²×C₇	semidirect
794. #479	C₂²×C₇	semidirect
795. #478	C₂²×C₇	semidirect
796. #478	C₂²×C₇	semidirect
797. #478	C₂²×C₇	semidirect
798. #478	C₂²×C₇	semidirect
799. #478	C₂²×C₇	semidirect
800. #478	C₂²×C₇	semidirect
801. #478	C₂²×C₇	semidirect
802. #478	C₂²×C₇	semidirect
803. #477	C₂²×C₇	semidirect
804. #476	C₂²×C₇	semidirect
805. #475	C₂²×C₇	semidirect
806. #474	C₂²×C₇	semidirect
807. #470	C₂²×C₇	semidirect
810. #469	C₂²×C₇	semidirect
811. #468	C₂²×C₇	semidirect
812. #468	C₂²×C₇	semidirect
813. #468	C₂²×C₇	semidirect
814. #468	C₂²×C₇	semidirect
815. #467	C₂²×C₇	semidirect
818. #466	C₂²×C₇	semidirect
819. #465	C₂²×C₇	semidirect
820. #465	C₂²×C₇	semidirect
821. #465	C₂²×C₇	semidirect
822. #465	C₂²×C₇	semidirect
823. #464	C₂²×C₇	semidirect
824. #464	C₂²×C₇	semidirect
825. #464	C₂²×C₇	semidirect
826. #464	C₂²×C₇	semidirect
833. #463	C₂²×C₇	semidirect
834. #463	C₂²×C₇	semidirect
835. #460	C₂²×C₇	semidirect
836. #460	C₂²×C₇	semidirect
839. #452	C₂²×C₇	semidirect
840. #452	C₂²×C₇	semidirect
841. #451	C₂²×C₇	semidirect
842. #450	C₂²×C₇	semidirect
843. #450	C₂²×C₇	semidirect
844. #450	C₂²×C₇	semidirect
849. #448	C₂²×C₇	semidirect
854. #447	C₂²×C₇	semidirect
857. #442	C₂²×C₇	semidirect
858. #441	C₂²×C₇	semidirect
859. #440	C₂²×C₇	semidirect
860. #440	C₂²×C₇	semidirect
861. #440	C₂²×C₇	semidirect
862. #440	C₂²×C₇	semidirect
863. C₄×Q₁₆	C₂²×C₇	semidirect
864. C₄×SD₁₆	C₂²×C₇	semidirect
865. C₄×SD₁₆	C₂²×C₇	semidirect
866. C₄×SD₁₆	C₂²×C₇	semidirect
867. C₄×SD₁₆	C₂²×C₇	semidirect
870. C₄×D₈	C₂²×C₇	semidirect
871. #433	C₂²×C₇	semidirect
872. #433	C₂²×C₇	semidirect
873. #433	C₂²×C₇	semidirect
874. #433	C₂²×C₇	semidirect
875. #432	C₂²×C₇	semidirect
876. #432	C₂²×C₇	semidirect
877. #431	C₂²×C₇	semidirect
878. #431	C₂²×C₇	semidirect
879. #423	C₂²×C₇	semidirect
880. C₂×C₄⋊C₈	C₂²×C₇	semidirect
883. #405	C₂²×C₇	semidirect
884. #405	C₂²×C₇	semidirect
1650. C₇	#60998	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×#3510	2
C₇×#3460	2
C₇×#3256	2
C₇×#3251	2
C₇×#3250	2
C₇×#3247	2
C₇×#3244	2
C₇×#3243	2
C₇×#3240	2
C₇×#3228	2
C₇×#3224	2
C₇×#3213	2
C₇×#3211	2
C₇×#3201	2
C₇×#3200	2
C₇×#3199	2
C₇×#3198	2
C₇×#3179	2
C₇×#3175	2
C₇×#3173	2
C₇×#3126	2
C₇×#3122	2
C₇×#3121	2
C₇×#3118	2
C₇×#3114	2
C₇×#3111	2
C₇×#3105	2
C₇×#3102	2
C₇×#2925	2
#60998	7

Subgroups — C7×#60998 #13238214

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#60998 #13238214