Subgroups — #27093413

Order 12032.

2124 conjugacy classes of subgroups.

The subgroup lattice has 1436 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#15689813	C₂	1	1	yes	maximal, characteristic, complemented
2	#20255656	C₂	1	2	yes	maximal, complemented
3	#20255604	C₂	1	2	yes	maximal, complemented
4	#20255514	C₂	1	2	yes	maximal, complemented
5	#20255484	C₂	1	2	yes	maximal, complemented
6	#20255439	C₂	1	2	yes	maximal, complemented
7	#20255409	C₂	1	2	yes	maximal, complemented
8	#20255275	C₂	1	2	yes	maximal, complemented
9	#20255223	C₂	1	2	yes	maximal, complemented
10	#20253788	C₂	1	1	yes	maximal, characteristic, complemented
11	#20253317	C₂	1	1	yes	maximal, characteristic, complemented
12	#20253308	C₂	1	1	yes	maximal, characteristic, complemented
13	#20253210	C₂	1	1	yes	maximal, characteristic, complemented
14	#20253020	C₂	1	1	yes	maximal, characteristic, complemented
15	#20253020	C₂	1	1	yes	maximal, characteristic, complemented
16	#20252856	C₂	1	1	yes	maximal, characteristic, complemented
17	#20252648	C₂	1	1	yes	maximal, characteristic, complemented
18	#20252648	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄×#13094054	C₂	1	1	yes	maximal, characteristic, complemented
20	D₄×#10625329	C₂	1	1	yes	maximal, characteristic, complemented
21	#20251907	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#15689124	C₂	1	1	yes	maximal, characteristic, complemented
23	D₄×#41×C₄₇	C₂	1	1	yes	maximal, characteristic
24	C₂×#13094054	C₂²	1	1	yes	characteristic
25	C₂×#13094054	C₂²	1	1	yes	characteristic, complemented
26	C₂×#13094054	C₂²	1	1	yes	characteristic, complemented
27	C₂²×#10625329	C₂²	1	1	yes	characteristic, complemented
28	C₂²×#10625329	C₂²	1	1	yes	characteristic, complemented
29	#15689813	—	2	1	no	—
30	#15689813	—	2	1	no	—
31	#15689813	—	2	1	no	—
32	#15689813	—	2	1	no	—
33	#15689813	C₂²	1	2	yes	—
34	#15689813	C₂²	1	2	yes	complemented
35	#15689813	C₂²	1	2	yes	complemented
36	#15689813	C₂²	1	2	yes	complemented
37	C₂×#13094017	—	2	1	no	—
38	C₂×#13094016	C₂²	1	1	yes	characteristic, complemented
39	C₂×#13094014	—	2	1	no	—
40	C₂×#13094005	—	2	1	no	—
41	C₂×#13094003	C₂²	1	1	yes	characteristic, complemented
42	C₂×#13094003	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₄×Dic₉₄	C₂²	1	1	yes	characteristic, complemented
44	C₂×#13093983	C₂²	1	1	yes	characteristic, complemented
45	C₂×#13093980	—	2	1	no	—
46	C₂²×C₄⋊Dic₄₇	C₂²	1	1	yes	characteristic, complemented
47	#15689491	C₂²	1	2	yes	complemented
48	#15689487	C₂²	1	2	yes	complemented
49	#15689477	C₂²	1	2	yes	complemented
50	#15689477	C₂²	1	2	yes	complemented
51	#15689461	C₂²	1	2	yes	complemented
52	#15689461	C₂²	1	2	yes	complemented
53	#15689456	C₂²	1	2	yes	complemented
54	#15689451	C₂²	1	2	yes	complemented
55	#15689444	C₂²	1	2	yes	complemented
56	#15689444	C₂²	1	2	yes	complemented
57	#15689439	C₂²	1	2	yes	complemented
58	#15689434	C₂²	1	2	yes	complemented
59	#15689430	C₂²	1	2	yes	complemented
60	#15689430	C₂²	1	2	yes	complemented
61	#15689423	C₂²	1	2	yes	complemented
62	#15689423	C₂²	1	2	yes	complemented
63	#15689379	C₂²	1	2	yes	complemented
64	#15689379	C₂²	1	2	yes	complemented
65	#15689367	C₂²	1	2	yes	complemented
66	#15689367	C₂²	1	2	yes	complemented
67	#15689362	C₂²	1	2	yes	complemented
68	#15689362	C₂²	1	2	yes	complemented
69	#15689350	C₂²	1	2	yes	complemented
70	#15689350	C₂²	1	2	yes	complemented
71	#15689342	C₂²	1	2	yes	complemented
72	#15689342	C₂²	1	2	yes	complemented
73	#15689330	C₂²	1	2	yes	complemented
74	#15689320	C₂²	1	2	yes	complemented
75	#15689285	C₂²	1	2	yes	complemented
76	#15689285	C₂²	1	2	yes	complemented
77	#15689285	C₂²	1	2	yes	complemented
78	#15689285	C₂²	1	2	yes	complemented
79	#15689279	C₂²	1	2	yes	complemented
80	#15689279	C₂²	1	2	yes	complemented
81	#15689274	C₂²	1	2	yes	complemented
82	#15689274	C₂²	1	2	yes	complemented
83	#15689228	C₂²	1	2	yes	complemented
84	#15689223	C₂²	1	2	yes	complemented
85	C₄×#10625337	C₂²	1	2	yes	complemented
86	C₄×#10625335	C₂²	1	2	yes	complemented
87	#15689201	C₂²	1	2	yes	complemented
88	#15689195	C₂²	1	2	yes	—
89	#15689195	C₂²	1	2	yes	complemented
90	D₄×C₄₇⋊C₈	C₂²	1	2	yes	complemented
91	#15689166	C₂²	1	1	yes	characteristic, complemented
92	#15689166	C₂²	1	1	yes	characteristic, complemented
93	#15689166	C₂²	1	1	yes	characteristic, complemented
94	#15689147	C₂²	1	1	yes	characteristic, complemented
95	#15689132	C₂²	1	2	yes	complemented
96	#15689131	C₂²	1	1	yes	characteristic, complemented
97	#15689128	C₂²	1	2	yes	complemented
98	#15689124	C₂²	1	1	yes	characteristic
99	#15689124	C₂²	1	1	yes	characteristic
100	#15689124	C₂²	1	1	yes	characteristic
101	#15689124	C₂²	1	1	yes	characteristic, complemented
102	#15689124	C₂²	1	1	yes	characteristic, complemented
103	#15689124	C₂²	1	2	yes	complemented
104	#15689124	C₂²	1	1	yes	characteristic, complemented
105	#15689124	C₂²	1	1	yes	characteristic, complemented
106	#15689124	C₂²	1	1	yes	characteristic, complemented
107	#15689124	C₂²	1	2	yes	complemented
108	#15689124	C₂²	1	1	yes	characteristic, complemented
109	#15689119	C₂²	1	2	yes	complemented
110	#15689119	C₂²	1	2	yes	complemented
111	C₂×#13093948	C₂²	1	2	yes	complemented
112	C₂×#13093945	C₂²	1	2	yes	complemented
113	#15689087	C₂²	1	1	yes	characteristic, complemented
114	#15689087	C₂²	1	1	yes	characteristic, complemented
115	C₄×#10625329	C₂²	1	1	yes	characteristic, complemented
116	C₂²×#41×C₄₇	C₂²	1	1	yes	characteristic
117	C₂²×#41×C₄₇	C₂²	1	1	yes	characteristic
118	C₄₇×#550	C₂²	1	1	yes	characteristic
119	D₄×Q₈×C₄₇	C₂²	1	1	yes	characteristic
120	C₄₇×#548	C₂²	1	1	yes	characteristic
121	C₄₇×#548	C₂²	1	1	yes	characteristic
122	C₄₇×#547	—	2	1	no	—
123	C₄₇×#547	C₂²	1	1	yes	characteristic
124	C₄₇×#546	—	2	1	no	—
125	C₄₇×#546	—	2	1	no	—
126	C₄₇×#546	C₂²	1	1	yes	characteristic
127	C₄₇×#546	C₂²	1	1	yes	characteristic
128	D₄²×C₄₇	—	2	1	no	—
129	D₄²×C₄₇	C₂²	1	1	yes	characteristic
130	C₄₇×#532	—	2	1	no	—
131	C₄₇×#532	C₂²	1	1	yes	characteristic
132	C₄₇×#525	—	2	1	no	—
133	C₄₇×#525	—	2	1	no	—
134	C₄₇×#525	C₂²	1	1	yes	characteristic
135	C₄₇×#525	C₂²	1	1	yes	characteristic
136	C₄×#41×C₄₇	C₂²	1	1	yes	characteristic
137	C₂×C₄×D₄×C₄₇	—	2	1	no	—
138	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
139	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
140	C₂³×Dic₄₇	—	2	1	no	—
141	#13094054	—	2	4	no	—
142	#13094054	—	4	2	no	—
143	#13094054	—	4	2	no	—
144	C₂×#10625337	C₂³	1	2	yes	—
145	C₂×#10625337	C₂³	1	2	yes	—
146	C₂×#10625337	C₂³	1	2	yes	—
147	C₂×#10625335	C₂³	1	2	yes	—
148	C₂×#10625335	C₂³	1	2	yes	—
149	C₂×#10625335	C₂³	1	2	yes	—
150	C₂×#10625329	—	4	2	no	—
151	C₂×#10625329	—	4	2	no	—
152	C₂×#10625329	C₂³	1	1	yes	characteristic
153	C₂×#10625329	C₂³	1	1	yes	characteristic
154	C₂×#10625329	C₂³	1	1	yes	characteristic
155	C₂×#10625329	C₂³	1	1	yes	characteristic
156	C₂×#10625329	C₂³	1	2	yes	—
157	C₂×#10625329	C₂³	1	2	yes	—
158	C₂²×C₄₇⋊C₈	C₂³	1	2	yes	—
159	C₂²×C₄₇⋊C₈	C₂³	1	2	yes	—
160	#13094017	—	2	2	no	—
161	#13094017	—	2	2	no	—
162	#13094017	—	2	2	no	—
163	#13094017	—	2	2	no	—
164	#13094016	—	2	1	no	—
165	#13094016	—	2	1	no	—
166	#13094016	C₂³	1	2	yes	—
167	#13094016	C₂³	1	2	yes	—
168	#13094014	—	2	2	no	—
169	#13094014	—	2	2	no	—
170	#13094014	—	2	2	no	—
171	#13094014	—	2	2	no	—
172	#13094005	—	2	2	no	—
173	#13094005	—	2	2	no	—
174	#13094005	—	2	2	no	—
175	#13094005	—	2	2	no	—
176	#13094003	—	2	1	no	—
177	#13094003	—	2	1	no	—
178	#13094003	—	2	1	no	—
179	#13094003	—	2	1	no	—
180	#13094003	C₂³	1	2	yes	—
181	#13094003	C₂³	1	2	yes	—
182	#13094003	C₂³	1	2	yes	—
183	#13094003	C₂³	1	2	yes	—
184	C₄×Dic₉₄	—	2	1	no	—
185	C₄×Dic₉₄	—	2	1	no	—
186	C₄×Dic₉₄	C₂³	1	2	yes	—
187	C₄×Dic₉₄	C₂³	1	2	yes	—
188	#13093983	—	2	1	no	—
189	#13093983	—	2	1	no	—
190	#13093983	C₂³	1	2	yes	—
191	#13093983	C₂³	1	2	yes	—
192	#13093980	—	2	2	no	—
193	#13093980	—	2	2	no	—
194	#13093980	—	2	2	no	—
195	#13093980	—	2	2	no	—
196	C₂×C₄⋊Dic₄₇	—	2	1	no	—
197	C₂×C₄⋊Dic₄₇	—	2	1	no	—
198	C₂×C₄⋊Dic₄₇	—	2	1	no	—
199	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
200	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
201	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
202	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
203	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
204	C₂×Dic₄₇⋊C₄	—	2	1	no	—
205	C₂×Dic₄₇⋊C₄	—	2	1	no	—
206	C₂×Dic₄₇⋊C₄	—	2	1	no	—
207	C₂×Dic₄₇⋊C₄	—	2	1	no	—
208	C₂×Dic₄₇⋊C₄	—	2	1	no	—
209	C₂×C₂²⋊Dic₄₇	—	2	1	no	—
210	C₂×C₂²⋊Dic₄₇	—	2	1	no	—
211	C₂×C₂²⋊Dic₄₇	—	2	1	no	—
212	C₂×C₄×Dic₄₇	—	2	1	no	—
213	C₂×C₄×Dic₄₇	—	2	1	no	—
214	#13093957	C₂³	1	2	yes	—
215	#13093957	C₂³	1	2	yes	—
216	#13093957	C₂³	1	2	yes	—
217	#13093955	C₂³	1	2	yes	—
218	#13093955	C₂³	1	2	yes	—
219	#13093955	C₂³	1	2	yes	—
220	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
221	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
222	#13093948	C₂³	1	2	yes	—
223	#13093948	C₂³	1	2	yes	—
224	#13093948	C₂³	1	2	yes	—
225	#13093948	C₂³	1	2	yes	—
226	#13093948	C₂³	1	2	yes	—
227	#13093948	C₂³	1	2	yes	—
228	#13093948	C₂³	1	2	yes	—
229	#13093948	C₂³	1	2	yes	—
230	#13093948	C₂³	1	2	yes	—
231	#13093947	C₂³	1	2	yes	—
232	#13093947	C₂³	1	2	yes	—
233	#13093945	C₂³	1	2	yes	—
234	#13093945	C₂³	1	2	yes	—
235	#13093945	C₂³	1	2	yes	—
236	#13093945	C₂³	1	2	yes	—
237	#13093945	C₂³	1	2	yes	—
238	#13093945	C₂³	1	2	yes	—
239	#13093945	C₂³	1	2	yes	—
240	#13093945	C₂³	1	2	yes	—
241	#13093945	C₂³	1	2	yes	—
242	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
243	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
244	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
245	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
246	#13093935	C₂³	1	2	yes	—
247	C₄×C₄₇⋊C₈	C₂³	1	2	yes	—
248	C₂×#41×C₄₇	—	2	1	no	—
249	C₂×#41×C₄₇	—	2	1	no	—
250	C₂×#41×C₄₇	—	2	1	no	—
251	C₂×#41×C₄₇	—	2	1	no	—
252	C₂×#41×C₄₇	—	2	4	no	—
253	C₂×#41×C₄₇	—	2	4	no	—
254	C₂×#41×C₄₇	—	4	2	no	—
255	C₂×#41×C₄₇	—	4	2	no	—
256	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
257	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
258	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
259	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
260	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
261	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
262	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
263	C₂²×Q₈×C₄₇	C₂³	1	1	yes	characteristic
264	C₂²×Q₈×C₄₇	C₂³	1	1	yes	characteristic
265	C₂²×D₄×C₄₇	—	2	1	no	—
266	C₂²×D₄×C₄₇	—	2	1	no	—
267	C₂²×D₄×C₄₇	—	2	1	no	—
268	C₂²×D₄×C₄₇	D₄	1	1	yes	characteristic
269	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
270	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
271	C₂³×C₄×C₄₇	—	2	1	no	—
272	C₂³×C₄×C₄₇	—	2	1	no	—
273	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
274	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
275	C₄⋊Q₈×C₄₇	—	2	1	no	—
276	C₄⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
277	#127×C₄₇	—	2	1	no	—
278	#127×C₄₇	C₂³	1	1	yes	characteristic
279	#124×C₄₇	—	2	1	no	—
280	#124×C₄₇	—	2	1	no	—
281	#124×C₄₇	C₂³	1	1	yes	characteristic
282	#124×C₄₇	C₂³	1	1	yes	characteristic
283	#123×C₄₇	—	2	1	no	—
284	#123×C₄₇	—	2	1	no	—
285	#123×C₄₇	—	2	1	no	—
286	#123×C₄₇	—	2	1	no	—
287	#123×C₄₇	—	2	1	no	—
288	#123×C₄₇	—	2	1	no	—
289	C₂²⋊Q₈×C₄₇	—	2	1	no	—
290	C₂²⋊Q₈×C₄₇	—	2	1	no	—
291	C₂²⋊Q₈×C₄₇	—	2	1	no	—
292	C₂²⋊Q₈×C₄₇	—	2	1	no	—
293	C₂²⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
294	C₂²⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
295	C₂²⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
296	C₂²⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
297	#121×C₄₇	—	2	1	no	—
298	#121×C₄₇	—	2	1	no	—
299	#121×C₄₇	—	2	1	no	—
300	#121×C₄₇	—	2	1	no	—
301	#121×C₄₇	—	2	1	no	—
302	#121×C₄₇	—	2	1	no	—
303	#121×C₄₇	—	2	1	no	—
304	#121×C₄₇	—	2	1	no	—
305	#121×C₄₇	—	2	1	no	—
306	#121×C₄₇	—	2	1	no	—
307	#121×C₄₇	C₂³	1	1	yes	characteristic
308	#121×C₄₇	C₂³	1	1	yes	characteristic
309	#121×C₄₇	C₂³	1	1	yes	characteristic
310	#121×C₄₇	C₂³	1	1	yes	characteristic
311	#120×C₄₇	—	2	1	no	—
312	#120×C₄₇	—	2	1	no	—
313	#120×C₄₇	—	2	1	no	—
314	#120×C₄₇	—	2	1	no	—
315	#120×C₄₇	—	2	1	no	—
316	#120×C₄₇	—	2	1	no	—
317	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
318	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
319	C₄×D₄×C₄₇	—	2	1	no	—
320	C₄×D₄×C₄₇	—	2	1	no	—
321	C₄×D₄×C₄₇	—	2	1	no	—
322	C₄×D₄×C₄₇	—	2	1	no	—
323	C₄×D₄×C₄₇	—	2	1	no	—
324	C₄×D₄×C₄₇	—	2	1	no	—
325	C₄×D₄×C₄₇	—	2	1	no	—
326	C₄×D₄×C₄₇	—	2	1	no	—
327	C₄×D₄×C₄₇	—	2	1	no	—
328	C₄×D₄×C₄₇	—	2	1	no	—
329	C₄×D₄×C₄₇	—	2	1	no	—
330	C₄×D₄×C₄₇	—	2	1	no	—
331	C₄×D₄×C₄₇	D₄	1	1	yes	characteristic
332	C₄×D₄×C₄₇	D₄	1	1	yes	characteristic
333	C₄×D₄×C₄₇	D₄	1	1	yes	characteristic
334	C₄×D₄×C₄₇	D₄	1	1	yes	characteristic
335	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
336	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
337	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
338	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
339	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
340	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
341	#117×C₄₇	—	2	1	no	—
342	#117×C₄₇	C₂³	1	1	yes	characteristic
343	C₂×C₄⋊C₄×C₄₇	—	2	1	no	—
344	C₂×C₄⋊C₄×C₄₇	D₄	1	1	yes	characteristic
345	C₂×C₂²⋊C₄×C₄₇	—	2	1	no	—
346	C₂×C₂²⋊C₄×C₄₇	—	2	1	no	—
347	C₂×C₂²⋊C₄×C₄₇	D₄	1	1	yes	characteristic
348	C₂×C₂²⋊C₄×C₄₇	D₄	1	1	yes	characteristic
349	C₂×C₄²×C₄₇	—	2	1	no	—
350	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
351	C₂⁴×C₄₇	—	2	1	no	—
352	C₂⁴×C₄₇	—	2	1	no	—
353	C₂⁴×C₄₇	C₂×D₄	1	1	yes	characteristic
354	C₂⁴×C₄₇	C₂×D₄	1	1	yes	characteristic
355	#41×C₄₇	—	2	2	no	—
356	#41×C₄₇	—	2	2	no	—
357	#41×C₄₇	—	2	2	no	—
358	#41×C₄₇	—	2	2	no	—
359	#41×C₄₇	—	2	2	no	—
360	#41×C₄₇	—	2	2	no	—
361	#41×C₄₇	—	2	2	no	—
362	#41×C₄₇	—	2	2	no	—
363	#41×C₄₇	—	2	2	no	—
364	#41×C₄₇	—	4	4	no	—
365	#41×C₄₇	—	4	4	no	—
366	#41×C₄₇	—	4	1	no	—
367	#41×C₄₇	—	4	1	no	—
368	#41×C₄₇	—	4	1	no	—
369	#41×C₄₇	—	4	1	no	—
370	#41×C₄₇	—	4	4	no	—
371	#41×C₄₇	—	4	4	no	—
372	#41×C₄₇	#41	1	4	yes	—
373	C₂×Q₈×C₄₇	—	2	1	no	—
374	C₂×Q₈×C₄₇	—	2	1	no	—
375	C₂×Q₈×C₄₇	—	2	2	no	—
376	C₂×Q₈×C₄₇	—	2	2	no	—
377	C₂×Q₈×C₄₇	—	4	1	no	—
378	C₂×Q₈×C₄₇	—	4	1	no	—
379	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
380	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
381	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
382	C₂×D₄×C₄₇	—	2	1	no	—
383	C₂×D₄×C₄₇	—	2	2	no	—
384	C₂×D₄×C₄₇	—	2	2	no	—
385	C₂×D₄×C₄₇	—	2	1	no	—
386	C₂×D₄×C₄₇	—	2	1	no	—
387	C₂×D₄×C₄₇	—	2	1	no	—
388	C₂×D₄×C₄₇	—	2	1	no	—
389	C₂×D₄×C₄₇	—	2	1	no	—
390	C₂×D₄×C₄₇	—	2	1	no	—
391	C₂×D₄×C₄₇	—	2	1	no	—
392	C₂×D₄×C₄₇	—	2	1	no	—
393	C₂×D₄×C₄₇	—	2	1	no	—
394	C₂×D₄×C₄₇	—	2	1	no	—
395	C₂×D₄×C₄₇	—	2	1	no	—
396	C₂×D₄×C₄₇	—	2	1	no	—
397	C₂×D₄×C₄₇	—	2	1	no	—
398	C₂×D₄×C₄₇	—	2	1	no	—
399	C₂×D₄×C₄₇	—	4	1	no	—
400	C₂×D₄×C₄₇	—	4	1	no	—
401	C₂×D₄×C₄₇	—	4	2	no	—
402	C₂×D₄×C₄₇	—	4	4	no	—
403	C₂×D₄×C₄₇	—	4	4	no	—
404	C₂×D₄×C₄₇	—	4	4	no	—
405	C₂×D₄×C₄₇	C₂×D₄	1	1	yes	characteristic
406	C₂×D₄×C₄₇	C₂×D₄	1	1	yes	characteristic
407	C₂×D₄×C₄₇	C₂×D₄	1	1	yes	characteristic
408	C₂×D₄×C₄₇	C₂×D₄	1	1	yes	characteristic
409	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
410	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
411	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
412	C₂²×C₄×C₄₇	—	2	1	no	—
413	C₂²×C₄×C₄₇	—	2	2	no	—
414	C₂²×C₄×C₄₇	—	2	2	no	—
415	C₂²×C₄×C₄₇	—	2	2	no	—
416	C₂²×C₄×C₄₇	—	2	2	no	—
417	C₂²×C₄×C₄₇	—	2	1	no	—
418	C₂²×C₄×C₄₇	—	2	1	no	—
419	C₂²×C₄×C₄₇	—	2	1	no	—
420	C₂²×C₄×C₄₇	—	2	1	no	—
421	C₂²×C₄×C₄₇	—	2	1	no	—
422	C₂²×C₄×C₄₇	—	2	1	no	—
423	C₂²×C₄×C₄₇	—	2	1	no	—
424	C₂²×C₄×C₄₇	—	2	1	no	—
425	C₂²×C₄×C₄₇	—	2	1	no	—
426	C₂²×C₄×C₄₇	—	2	1	no	—
427	C₂²×C₄×C₄₇	—	4	4	no	—
428	C₂²×C₄×C₄₇	—	4	4	no	—
429	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
430	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
431	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
432	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
433	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
434	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
435	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
436	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
437	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
438	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
439	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
440	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
441	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
442	C₂²×Dic₄₇	—	2	1	no	—
443	C₂²×Dic₄₇	—	2	1	no	—
444	C₂²×Dic₄₇	—	2	1	no	—
445	C₂²×Dic₄₇	—	2	1	no	—
446	C₂²×Dic₄₇	—	2	2	no	—
447	C₂²×Dic₄₇	—	2	2	no	—
448	C₂²×Dic₄₇	—	4	4	no	—
449	C₂×Dic₉₄	—	2	2	no	—
450	C₂×Dic₉₄	—	2	2	no	—
451	C₂×Dic₉₄	—	2	1	no	—
452	C₂×Dic₉₄	C₂⁴	1	2	yes	—
453	C₄⋊C₄×C₄₇	—	2	1	no	—
454	C₄⋊C₄×C₄₇	—	2	1	no	—
455	C₄⋊C₄×C₄₇	—	2	1	no	—
456	C₄⋊C₄×C₄₇	—	2	1	no	—
457	C₄⋊C₄×C₄₇	—	2	1	no	—
458	C₄⋊C₄×C₄₇	—	2	1	no	—
459	C₄⋊C₄×C₄₇	—	2	1	no	—
460	C₄⋊C₄×C₄₇	—	2	1	no	—
461	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
462	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
463	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
464	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
465	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
466	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
467	C₂²⋊C₄×C₄₇	—	2	1	no	—
468	C₂²⋊C₄×C₄₇	—	2	1	no	—
469	C₂²⋊C₄×C₄₇	—	2	1	no	—
470	C₂²⋊C₄×C₄₇	—	2	1	no	—
471	C₂²⋊C₄×C₄₇	—	2	1	no	—
472	C₂²⋊C₄×C₄₇	—	2	1	no	—
473	C₂²⋊C₄×C₄₇	—	2	1	no	—
474	C₂²⋊C₄×C₄₇	—	2	1	no	—
475	C₂²⋊C₄×C₄₇	—	2	1	no	—
476	C₂²⋊C₄×C₄₇	—	2	1	no	—
477	C₂²⋊C₄×C₄₇	—	2	1	no	—
478	C₂²⋊C₄×C₄₇	—	2	1	no	—
479	C₂²⋊C₄×C₄₇	—	2	1	no	—
480	C₂²⋊C₄×C₄₇	—	2	1	no	—
481	C₂²⋊C₄×C₄₇	—	2	1	no	—
482	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
483	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
484	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
485	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
486	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
487	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
488	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
489	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
490	C₄²×C₄₇	—	2	1	no	—
491	C₄²×C₄₇	—	2	1	no	—
492	C₄²×C₄₇	—	2	1	no	—
493	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
494	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
495	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
496	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
497	C₂²⋊Dic₄₇	—	2	2	no	—
498	C₂²⋊Dic₄₇	—	2	2	no	—
499	C₂²⋊Dic₄₇	—	2	2	no	—
500	C₂²⋊Dic₄₇	—	2	2	no	—
501	C₂²⋊Dic₄₇	—	2	2	no	—
502	C₂²⋊Dic₄₇	—	2	2	no	—
503	#10625337	—	2	4	no	—
504	#10625337	—	4	2	no	—
505	#10625337	—	4	2	no	—
506	#10625335	—	2	4	no	—
507	#10625335	—	4	2	no	—
508	#10625335	—	4	2	no	—
509	C₄⋊Dic₄₇	—	2	1	no	—
510	C₄⋊Dic₄₇	—	2	1	no	—
511	C₄⋊Dic₄₇	—	2	2	no	—
512	C₄⋊Dic₄₇	—	2	2	no	—
513	C₄⋊Dic₄₇	—	2	1	no	—
514	C₄⋊Dic₄₇	C₂⁴	1	2	yes	—
515	C₄⋊Dic₄₇	C₂⁴	1	2	yes	—
516	C₄⋊Dic₄₇	C₂⁴	1	2	yes	—
517	Dic₄₇⋊C₄	—	2	2	no	—
518	Dic₄₇⋊C₄	—	2	2	no	—
519	Dic₄₇⋊C₄	—	2	2	no	—
520	Dic₄₇⋊C₄	—	2	2	no	—
521	Dic₄₇⋊C₄	—	2	2	no	—
522	Dic₄₇⋊C₄	—	2	2	no	—
523	Dic₄₇⋊C₄	—	2	2	no	—
524	Dic₄₇⋊C₄	—	2	2	no	—
525	Dic₄₇⋊C₄	—	2	2	no	—
526	Dic₄₇⋊C₄	—	2	2	no	—
527	C₄×Dic₄₇	—	2	2	no	—
528	C₄×Dic₄₇	—	2	2	no	—
529	C₄×Dic₄₇	—	2	2	no	—
530	C₄×Dic₄₇	—	2	2	no	—
531	#10625329	—	2	2	no	—
532	#10625329	—	2	2	no	—
533	#10625329	—	2	2	no	—
534	#10625329	—	2	2	no	—
535	#10625329	—	4	2	no	—
536	#10625329	—	4	2	no	—
537	C₂×C₄₇⋊C₈	—	4	2	no	—
538	C₂×C₄₇⋊C₈	—	4	2	no	—
539	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
540	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
541	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
542	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
543	C₂³×C₄₇	—	2	2	no	—
544	C₂³×C₄₇	—	2	2	no	—
545	C₂³×C₄₇	—	2	1	no	—
546	C₂³×C₄₇	—	2	2	no	—
547	C₂³×C₄₇	—	2	1	no	—
548	C₂³×C₄₇	—	2	1	no	—
549	C₂³×C₄₇	—	4	1	no	—
550	C₂³×C₄₇	—	4	1	no	—
551	C₂³×C₄₇	—	4	1	no	—
552	C₂³×C₄₇	—	4	2	no	—
553	C₂³×C₄₇	—	4	2	no	—
554	C₂³×C₄₇	—	4	2	no	—
555	C₂³×C₄₇	—	4	2	no	—
556	C₂³×C₄₇	—	8	1	no	—
557	C₂³×C₄₇	—	8	1	no	—
558	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
559	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
560	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
561	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
562	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
563	Q₈×C₄₇	—	2	1	no	—
564	Q₈×C₄₇	—	2	1	no	—
565	Q₈×C₄₇	—	2	1	no	—
566	Q₈×C₄₇	—	2	1	no	—
567	Q₈×C₄₇	—	2	1	no	—
568	Q₈×C₄₇	—	4	2	no	—
569	Q₈×C₄₇	—	4	2	no	—
570	Q₈×C₄₇	C₂×#41	1	2	yes	—
571	D₄×C₄₇	—	2	4	no	—
572	D₄×C₄₇	—	2	2	no	—
573	D₄×C₄₇	—	2	2	no	—
574	D₄×C₄₇	—	2	1	no	—
575	D₄×C₄₇	—	2	1	no	—
576	D₄×C₄₇	—	2	1	no	—
577	D₄×C₄₇	—	2	1	no	—
578	D₄×C₄₇	—	2	1	no	—
579	D₄×C₄₇	—	4	1	no	—
580	D₄×C₄₇	—	4	1	no	—
581	D₄×C₄₇	—	4	2	no	—
582	D₄×C₄₇	—	4	2	no	—
583	D₄×C₄₇	—	4	2	no	—
584	D₄×C₄₇	—	4	2	no	—
585	D₄×C₄₇	—	4	2	no	—
586	D₄×C₄₇	—	4	2	no	—
587	D₄×C₄₇	—	4	2	no	—
588	D₄×C₄₇	—	4	2	no	—
589	D₄×C₄₇	—	4	2	no	—
590	D₄×C₄₇	—	4	2	no	—
591	D₄×C₄₇	—	4	2	no	—
592	D₄×C₄₇	—	8	1	no	—
593	D₄×C₄₇	—	8	1	no	—
594	D₄×C₄₇	—	8	1	no	—
595	D₄×C₄₇	C₂×#41	1	2	yes	—
596	C₂×C₄×C₄₇	—	2	2	no	—
597	C₂×C₄×C₄₇	—	2	2	no	—
598	C₂×C₄×C₄₇	—	2	1	no	—
599	C₂×C₄×C₄₇	—	2	2	no	—
600	C₂×C₄×C₄₇	—	2	2	no	—
601	C₂×C₄×C₄₇	—	2	2	no	—
602	C₂×C₄×C₄₇	—	2	2	no	—
603	C₂×C₄×C₄₇	—	2	4	no	—
604	C₂×C₄×C₄₇	—	2	1	no	—
605	C₂×C₄×C₄₇	—	2	1	no	—
606	C₂×C₄×C₄₇	—	2	1	no	—
607	C₂×C₄×C₄₇	—	2	1	no	—
608	C₂×C₄×C₄₇	—	2	1	no	—
609	C₂×C₄×C₄₇	—	2	1	no	—
610	C₂×C₄×C₄₇	—	2	1	no	—
611	C₂×C₄×C₄₇	—	2	1	no	—
612	C₂×C₄×C₄₇	—	2	1	no	—
613	C₂×C₄×C₄₇	—	2	1	no	—
614	C₂×C₄×C₄₇	—	2	1	no	—
615	C₂×C₄×C₄₇	—	2	1	no	—
616	C₂×C₄×C₄₇	—	4	1	no	—
617	C₂×C₄×C₄₇	—	4	1	no	—
618	C₂×C₄×C₄₇	—	4	2	no	—
619	C₂×C₄×C₄₇	—	4	2	no	—
620	C₂×C₄×C₄₇	—	4	2	no	—
621	C₂×C₄×C₄₇	—	4	2	no	—
622	C₂×C₄×C₄₇	—	4	2	no	—
623	C₂×C₄×C₄₇	—	4	2	no	—
624	C₂×C₄×C₄₇	—	4	2	no	—
625	C₂×C₄×C₄₇	—	4	2	no	—
626	C₂×C₄×C₄₇	—	4	2	no	—
627	C₂×C₄×C₄₇	—	8	1	no	—
628	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
629	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
630	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
631	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
632	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
633	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
634	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
635	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
636	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
637	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
638	C₂×C₄×C₄₇	H(5,𝔽₂)	1	2	yes	—
639	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
640	C₂×Dic₄₇	—	2	2	no	—
641	C₂×Dic₄₇	—	2	2	no	—
642	C₂×Dic₄₇	—	2	2	no	—
643	C₂×Dic₄₇	—	2	2	no	—
644	C₂×Dic₄₇	—	4	2	no	—
645	C₂×Dic₄₇	—	4	2	no	—
646	C₂×Dic₄₇	—	4	2	no	—
647	C₂×Dic₄₇	—	4	4	no	—
648	C₂×Dic₄₇	—	4	2	no	—
649	C₂×Dic₄₇	—	4	4	no	—
650	Dic₉₄	—	2	2	no	—
651	Dic₉₄	—	2	2	no	—
652	Dic₉₄	—	4	2	no	—
653	C₄₇⋊C₈	—	2	2	no	—
654	C₄₇⋊C₈	—	2	2	no	—
655	C₄₇⋊C₈	—	2	2	no	—
656	C₄₇⋊C₈	—	2	2	no	—
657	#61163	—	47	1	no	maximal, Sylow
658	C₂²×C₄₇	—	2	1	no	—
659	C₂²×C₄₇	—	2	1	no	—
660	C₂²×C₄₇	—	2	1	no	—
661	C₂²×C₄₇	—	2	1	no	—
662	C₂²×C₄₇	—	2	1	no	—
663	C₂²×C₄₇	—	2	1	no	—
664	C₂²×C₄₇	—	2	1	no	—
665	C₂²×C₄₇	—	2	1	no	—
666	C₂²×C₄₇	—	2	1	no	—
667	C₂²×C₄₇	—	2	1	no	—
668	C₂²×C₄₇	—	2	2	no	—
669	C₂²×C₄₇	—	2	1	no	—
670	C₂²×C₄₇	—	2	1	no	—
671	C₂²×C₄₇	—	2	1	no	—
672	C₂²×C₄₇	—	4	4	no	—
673	C₂²×C₄₇	—	4	1	no	—
674	C₂²×C₄₇	—	4	1	no	—
675	C₂²×C₄₇	—	4	1	no	—
676	C₂²×C₄₇	—	4	1	no	—
677	C₂²×C₄₇	—	4	1	no	—
678	C₂²×C₄₇	—	4	1	no	—
679	C₂²×C₄₇	—	4	1	no	—
680	C₂²×C₄₇	—	4	1	no	—
681	C₂²×C₄₇	—	8	2	no	—
682	C₂²×C₄₇	—	8	4	no	—
683	C₂²×C₄₇	—	8	4	no	—
684	C₂²×C₄₇	#546	1	2	yes	—
685	C₂²×C₄₇	#575	1	2	yes	—
686	C₂²×C₄₇	C₂³×D₄	1	1	yes	characteristic
687	C₄×C₄₇	—	2	1	no	—
688	C₄×C₄₇	—	2	1	no	—
689	C₄×C₄₇	—	2	1	no	—
690	C₄×C₄₇	—	2	1	no	—
691	C₄×C₄₇	—	2	1	no	—
692	C₄×C₄₇	—	2	1	no	—
693	C₄×C₄₇	—	2	2	no	—
694	C₄×C₄₇	—	2	1	no	—
695	C₄×C₄₇	—	2	1	no	—
696	C₄×C₄₇	—	4	1	no	—
697	C₄×C₄₇	—	4	1	no	—
698	C₄×C₄₇	—	4	1	no	—
699	C₄×C₄₇	—	4	1	no	—
700	C₄×C₄₇	#546	1	2	yes	—
701	C₄×C₄₇	C₂²×#41	1	1	yes	characteristic
702	C₄×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
703	Dic₄₇	—	4	2	no	—
704	Dic₄₇	—	4	2	no	—
705	Dic₄₇	—	4	2	no	—
706	Dic₄₇	—	4	2	no	—
707	C₂×#552	—	47	1	no	—
708	D₄×#41	D₄₇	1	1	yes	characteristic
709	#3327	—	47	2	no	—
710	#3323	—	47	2	no	—
711	#3317	—	47	2	no	—
712	#3315	—	47	2	no	—
713	#3312	—	47	2	no	—
714	#3310	—	47	2	no	—
715	#3300	—	47	2	no	—
716	#3296	—	47	2	no	—
717	#3142	—	47	1	no	—
718	#3093	—	47	1	no	—
719	#3092	—	47	1	no	—
720	#3080	—	47	1	no	—
721	#3056	—	47	1	no	—
722	#3056	—	47	1	no	—
723	#3037	—	47	1	no	—
724	#3007	—	47	1	no	—
725	#3007	—	47	1	no	—
726	C₄×#137	—	47	1	no	—
727	D₄×M₁₆	—	47	1	no	—
728	#2896	—	47	1	no	—
729	C₂×#417	—	47	1	no	—
730	C₂×C₄₇	—	2	2	no	—
731	C₂×C₄₇	—	2	2	no	—
732	C₂×C₄₇	—	4	1	no	—
733	C₂×C₄₇	—	4	1	no	—
734	C₂×C₄₇	—	4	1	no	—
735	C₂×C₄₇	—	4	2	no	—
736	C₂×C₄₇	—	8	1	no	—
737	C₂×C₄₇	—	8	1	no	—
738	C₂×C₄₇	C₂×#546	1	1	yes	characteristic
739	C₂×C₄₇	C₂×#575	1	1	yes	characteristic
740	C₂×C₄₇	#3586	1	1	yes	characteristic
741	C₂²×#41	C₂×D₄₇	1	1	yes	characteristic
742	C₂²×#41	C₂×D₄₇	1	1	yes	characteristic
743	C₂×#137	—	47	1	no	—
744	C₂×#137	—	47	1	no	—
745	C₂×#137	—	47	1	no	—
746	C₂²×M₁₆	—	47	1	no	—
747	C₂²×M₁₆	—	47	1	no	—
748	#552	—	47	2	no	—
749	#552	—	47	2	no	—
750	#552	—	47	2	no	—
751	#552	—	47	2	no	—
752	#552	—	94	1	no	—
753	#552	—	94	1	no	—
754	#552	—	94	1	no	—
755	#552	—	94	1	no	—
756	#550	C₂×D₄₇	1	1	yes	characteristic
757	D₄×Q₈	C₂×D₄₇	1	1	yes	characteristic
758	#548	C₂×D₄₇	1	1	yes	characteristic
759	#548	C₂×D₄₇	1	1	yes	characteristic
760	#547	—	2	1	no	—
761	#547	C₂×D₄₇	1	1	yes	characteristic
762	#546	—	2	1	no	—
763	#546	—	2	1	no	—
764	#546	C₂×D₄₇	1	1	yes	characteristic
765	#546	C₂×D₄₇	1	1	yes	characteristic
766	D₄²	—	2	1	no	—
767	D₄²	C₂×D₄₇	1	1	yes	characteristic
768	#532	—	2	1	no	—
769	#532	C₂×D₄₇	1	1	yes	characteristic
770	C₂×#126	—	94	1	no	—
771	C₂×#125	—	47	1	no	—
772	C₂×#125	—	94	1	no	—
773	#525	—	2	1	no	—
774	#525	—	2	1	no	—
775	#525	C₂×D₄₇	1	1	yes	characteristic
776	#525	C₂×D₄₇	1	1	yes	characteristic
777	C₂×#123	—	94	1	no	—
778	C₂×C₂²⋊Q₈	—	47	1	no	—
779	C₂×C₂²⋊Q₈	—	47	1	no	—
780	C₄×#41	C₂×D₄₇	1	1	yes	characteristic
781	C₂×C₄×Q₈	—	47	1	no	—
782	C₂×C₄×D₄	—	2	1	no	—
783	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
784	C₂×#117	—	47	1	no	—
785	C₂×#117	—	94	1	no	—
786	C₂²×C₄⋊C₄	—	47	1	no	—
787	#491	—	47	2	no	—
788	#490	—	47	2	no	—
789	#488	—	47	2	no	—
790	#488	—	47	2	no	—
791	#485	—	47	2	no	—
792	#485	—	47	2	no	—
793	#484	—	47	2	no	—
794	#483	—	47	2	no	—
795	#482	—	47	2	no	—
796	#482	—	47	2	no	—
797	#481	—	47	2	no	—
798	#480	—	47	2	no	—
799	#479	—	47	2	no	—
800	#479	—	47	2	no	—
801	#478	—	47	2	no	—
802	#478	—	47	2	no	—
803	#470	—	47	2	no	—
804	#470	—	47	2	no	—
805	#468	—	47	2	no	—
806	#468	—	47	2	no	—
807	#467	—	47	2	no	—
808	#467	—	47	2	no	—
809	#465	—	47	2	no	—
810	#465	—	47	2	no	—
811	#464	—	47	2	no	—
812	#464	—	47	2	no	—
813	#462	—	47	2	no	—
814	#460	—	47	2	no	—
815	#452	—	47	2	no	—
816	#452	—	47	2	no	—
817	#452	—	47	2	no	—
818	#452	—	47	2	no	—
819	#451	—	47	2	no	—
820	#451	—	47	2	no	—
821	#450	—	47	2	no	—
822	#450	—	47	2	no	—
823	#441	—	47	2	no	—
824	#440	—	47	2	no	—
825	C₄×Q₁₆	—	47	2	no	—
826	C₄×SD₁₆	—	47	2	no	—
827	#436	—	47	2	no	—
828	#435	—	47	2	no	—
829	#435	—	47	2	no	—
830	C₈×D₄	—	47	2	no	—
831	#428	—	47	1	no	—
832	#428	—	47	1	no	—
833	#428	—	47	1	no	—
834	#423	—	47	1	no	—
835	#419	—	47	2	no	—
836	#419	—	47	1	no	—
837	#418	—	47	2	no	—
838	#417	—	47	1	no	—
839	#417	—	47	1	no	—
840	#417	—	47	1	no	—
841	#417	—	47	1	no	—
842	#417	—	47	1	no	—
843	#417	—	47	1	no	—
844	#417	—	47	1	no	—
845	#417	—	47	1	no	—
846	#417	—	47	1	no	—
847	#417	—	47	2	no	—
848	#417	—	47	2	no	—
849	#416	—	47	2	no	—
850	#416	—	47	2	no	—
851	C₂×#103	—	47	2	no	—
852	C₂×#102	—	47	2	no	—
853	#407	—	47	1	no	—
854	#407	—	47	1	no	—
855	C₄×M₁₆	—	47	1	no	—
856	C₄₇	#61163	1	1	yes	characteristic, complemented, Sylow
857	C₂×#41	—	2	1	no	—
858	C₂×#41	—	2	1	no	—
859	C₂×#41	—	2	1	no	—
860	C₂×#41	—	2	1	no	—
861	C₂×#41	—	2	4	no	—
862	C₂×#41	—	2	4	no	—
863	C₂×#41	—	4	2	no	—
864	C₂×#41	—	4	2	no	—
865	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
866	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
867	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
868	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
869	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
870	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
871	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
872	C₂²×Q₈	—	47	1	no	—
873	C₂²×Q₈	C₂²×D₄₇	1	1	yes	characteristic
874	C₂²×Q₈	C₂²×D₄₇	1	1	yes	characteristic
875	C₂²×D₄	—	2	1	no	—
876	C₂²×D₄	—	2	1	no	—
877	C₂²×D₄	—	2	1	no	—
878	C₂²×D₄	C₂²⋊D₄₇	1	1	yes	characteristic
879	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
880	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
881	C₂³×C₄	—	2	1	no	—
882	C₂³×C₄	—	2	1	no	—
883	C₂³×C₄	—	94	1	no	—
884	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
885	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
886	#137	—	94	4	no	—
887	#137	—	188	2	no	—
888	#137	—	188	2	no	—
889	C₂×Q₁₆	—	47	2	no	—
890	C₂×Q₁₆	—	47	2	no	—
891	C₂×Q₁₆	—	47	2	no	—
892	C₂×SD₁₆	—	47	2	no	—
893	C₂×SD₁₆	—	47	2	no	—
894	C₂×SD₁₆	—	47	2	no	—
895	C₂×M₁₆	—	47	1	no	—
896	C₂×M₁₆	—	47	1	no	—
897	C₂×M₁₆	—	47	1	no	—
898	C₂×M₁₆	—	47	1	no	—
899	C₂×M₁₆	—	47	2	no	—
900	C₂×M₁₆	—	47	2	no	—
901	C₂×M₁₆	—	188	2	no	—
902	C₂×M₁₆	—	188	2	no	—
903	C₂²×C₈	—	47	2	no	—
904	C₂²×C₈	—	47	2	no	—
905	C₄⋊Q₈	—	2	1	no	—
906	C₄⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
907	#127	—	2	1	no	—
908	#127	C₂²×D₄₇	1	1	yes	characteristic
909	#126	—	94	2	no	—
910	#126	—	94	2	no	—
911	#126	—	94	2	no	—
912	#126	—	94	2	no	—
913	#125	—	47	2	no	—
914	#125	—	47	2	no	—
915	#125	—	94	2	no	—
916	#125	—	94	2	no	—
917	#125	—	94	2	no	—
918	#125	—	94	2	no	—
919	#125	—	94	1	no	—
920	#125	—	94	1	no	—
921	#124	—	2	1	no	—
922	#124	—	2	1	no	—
923	#124	C₂²×D₄₇	1	1	yes	characteristic
924	#124	C₂²×D₄₇	1	1	yes	characteristic
925	#123	—	2	1	no	—
926	#123	—	2	1	no	—
927	#123	—	2	1	no	—
928	#123	—	2	1	no	—
929	#123	—	2	1	no	—
930	#123	—	2	1	no	—
931	#123	—	94	2	no	—
932	#123	—	94	2	no	—
933	#123	—	94	2	no	—
934	#123	—	94	2	no	—
935	C₂²⋊Q₈	—	2	1	no	—
936	C₂²⋊Q₈	—	2	1	no	—
937	C₂²⋊Q₈	—	2	1	no	—
938	C₂²⋊Q₈	—	2	1	no	—
939	C₂²⋊Q₈	—	47	2	no	—
940	C₂²⋊Q₈	—	47	2	no	—
941	C₂²⋊Q₈	—	47	2	no	—
942	C₂²⋊Q₈	—	47	2	no	—
943	C₂²⋊Q₈	—	94	1	no	—
944	C₂²⋊Q₈	—	94	1	no	—
945	C₂²⋊Q₈	—	94	1	no	—
946	C₂²⋊Q₈	—	94	1	no	—
947	C₂²⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
948	C₂²⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
949	C₂²⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
950	C₂²⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
951	#121	—	2	1	no	—
952	#121	—	2	1	no	—
953	#121	—	2	1	no	—
954	#121	—	2	1	no	—
955	#121	—	2	1	no	—
956	#121	—	2	1	no	—
957	#121	—	2	1	no	—
958	#121	—	2	1	no	—
959	#121	—	2	1	no	—
960	#121	—	2	1	no	—
961	#121	C₂²×D₄₇	1	1	yes	characteristic
962	#121	C₂²×D₄₇	1	1	yes	characteristic
963	#121	C₂²×D₄₇	1	1	yes	characteristic
964	#121	C₂²×D₄₇	1	1	yes	characteristic
965	#120	—	2	1	no	—
966	#120	—	2	1	no	—
967	#120	—	2	1	no	—
968	#120	—	2	1	no	—
969	#120	—	2	1	no	—
970	#120	—	2	1	no	—
971	C₄×Q₈	—	47	2	no	—
972	C₄×Q₈	—	47	2	no	—
973	C₄×Q₈	—	94	1	no	—
974	C₄×Q₈	—	94	1	no	—
975	C₄×Q₈	C₂²×D₄₇	1	1	yes	characteristic
976	C₄×Q₈	C₂²×D₄₇	1	1	yes	characteristic
977	C₄×D₄	—	2	1	no	—
978	C₄×D₄	—	2	1	no	—
979	C₄×D₄	—	2	1	no	—
980	C₄×D₄	—	2	1	no	—
981	C₄×D₄	—	2	1	no	—
982	C₄×D₄	—	2	1	no	—
983	C₄×D₄	—	2	1	no	—
984	C₄×D₄	—	2	1	no	—
985	C₄×D₄	—	2	1	no	—
986	C₄×D₄	—	2	1	no	—
987	C₄×D₄	—	2	1	no	—
988	C₄×D₄	—	2	1	no	—
989	C₄×D₄	C₂²⋊D₄₇	1	1	yes	characteristic
990	C₄×D₄	C₂²⋊D₄₇	1	1	yes	characteristic
991	C₄×D₄	C₂²⋊D₄₇	1	1	yes	characteristic
992	C₄×D₄	C₂²⋊D₄₇	1	1	yes	characteristic
993	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
994	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
995	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
996	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
997	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
998	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
999	#117	—	2	1	no	—
1000	#117	—	47	2	no	—
1001	#117	—	47	2	no	—
1002	#117	—	94	1	no	—
1003	#117	—	94	1	no	—
1004	#117	—	94	2	no	—
1005	#117	—	94	2	no	—
1006	#117	—	94	2	no	—
1007	#117	—	94	2	no	—
1008	#117	C₂²×D₄₇	1	1	yes	characteristic
1009	C₂×C₄⋊C₄	—	2	1	no	—
1010	C₂×C₄⋊C₄	—	47	1	no	—
1011	C₂×C₄⋊C₄	—	47	1	no	—
1012	C₂×C₄⋊C₄	—	47	2	no	—
1013	C₂×C₄⋊C₄	—	47	2	no	—
1014	C₂×C₄⋊C₄	—	47	1	no	—
1015	C₂×C₄⋊C₄	—	94	1	no	—
1016	C₂×C₄⋊C₄	—	94	1	no	—
1017	C₂×C₄⋊C₄	—	94	1	no	—
1018	C₂×C₄⋊C₄	—	94	1	no	—
1019	C₂×C₄⋊C₄	—	94	1	no	—
1020	C₂×C₄⋊C₄	—	94	1	no	—
1021	C₂×C₄⋊C₄	—	94	1	no	—
1022	C₂×C₄⋊C₄	—	94	1	no	—
1023	C₂×C₄⋊C₄	C₂²⋊D₄₇	1	1	yes	characteristic
1024	C₂×C₂²⋊C₄	—	2	1	no	—
1025	C₂×C₂²⋊C₄	—	2	1	no	—
1026	C₂×C₂²⋊C₄	—	94	1	no	—
1027	C₂×C₂²⋊C₄	—	94	1	no	—
1028	C₂×C₂²⋊C₄	—	94	1	no	—
1029	C₂×C₂²⋊C₄	C₂²⋊D₄₇	1	1	yes	characteristic
1030	C₂×C₂²⋊C₄	C₂²⋊D₄₇	1	1	yes	characteristic
1031	C₂×C₄²	—	2	1	no	—
1032	C₂×C₄²	—	94	1	no	—
1033	C₂×C₄²	—	94	1	no	—
1034	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1035	#107	—	47	2	no	—
1036	#107	—	47	2	no	—
1037	#107	—	47	2	no	—
1038	#106	—	47	2	no	—
1039	#106	—	47	2	no	—
1040	#106	—	47	2	no	—
1041	C₄⋊C₈	—	47	2	no	—
1042	C₄⋊C₈	—	47	2	no	—
1043	#103	—	47	2	no	—
1044	#103	—	47	2	no	—
1045	#103	—	47	2	no	—
1046	#103	—	47	2	no	—
1047	#103	—	47	2	no	—
1048	#103	—	47	2	no	—
1049	#103	—	47	2	no	—
1050	#103	—	47	2	no	—
1051	#103	—	47	2	no	—
1052	#103	—	47	2	no	—
1053	#103	—	47	2	no	—
1054	#102	—	47	2	no	—
1055	#102	—	47	2	no	—
1056	#102	—	47	2	no	—
1057	#102	—	47	2	no	—
1058	#102	—	47	2	no	—
1059	#102	—	47	2	no	—
1060	#102	—	47	2	no	—
1061	#102	—	47	2	no	—
1062	#102	—	47	2	no	—
1063	C₂²⋊C₈	—	47	2	no	—
1064	C₂²⋊C₈	—	47	2	no	—
1065	C₂²⋊C₈	—	47	2	no	—
1066	C₂²⋊C₈	—	47	2	no	—
1067	#97	—	47	2	no	—
1068	C₄×C₈	—	47	2	no	—
1069	C₂⁴	—	2	1	no	—
1070	C₂⁴	—	2	1	no	—
1071	C₂⁴	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1072	C₂⁴	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1073	#41	—	2	2	no	—
1074	#41	—	2	2	no	—
1075	#41	—	2	2	no	—
1076	#41	—	2	2	no	—
1077	#41	—	2	2	no	—
1078	#41	—	2	2	no	—
1079	#41	—	2	2	no	—
1080	#41	—	2	2	no	—
1081	#41	—	2	2	no	—
1082	#41	—	4	4	no	—
1083	#41	—	4	4	no	—
1084	#41	—	4	1	no	—
1085	#41	—	4	1	no	—
1086	#41	—	4	1	no	—
1087	#41	—	4	1	no	—
1088	#41	—	4	4	no	—
1089	#41	—	4	4	no	—
1090	#41	#10625352	1	4	yes	—
1091	C₂×Q₈	—	2	1	no	—
1092	C₂×Q₈	—	2	1	no	—
1093	C₂×Q₈	—	2	2	no	—
1094	C₂×Q₈	—	2	2	no	—
1095	C₂×Q₈	—	4	1	no	—
1096	C₂×Q₈	—	4	1	no	—
1097	C₂×Q₈	—	47	2	no	—
1098	C₂×Q₈	—	94	1	no	—
1099	C₂×Q₈	—	94	2	no	—
1100	C₂×Q₈	—	94	2	no	—
1101	C₂×Q₈	C₂³×D₄₇	1	1	yes	characteristic
1102	C₂×Q₈	C₂³×D₄₇	1	1	yes	characteristic
1103	C₂×Q₈	C₂³×D₄₇	1	1	yes	characteristic
1104	C₂×D₄	—	2	1	no	—
1105	C₂×D₄	—	2	2	no	—
1106	C₂×D₄	—	2	2	no	—
1107	C₂×D₄	—	2	1	no	—
1108	C₂×D₄	—	2	1	no	—
1109	C₂×D₄	—	2	1	no	—
1110	C₂×D₄	—	2	1	no	—
1111	C₂×D₄	—	2	1	no	—
1112	C₂×D₄	—	2	1	no	—
1113	C₂×D₄	—	2	1	no	—
1114	C₂×D₄	—	2	1	no	—
1115	C₂×D₄	—	2	1	no	—
1116	C₂×D₄	—	2	1	no	—
1117	C₂×D₄	—	2	1	no	—
1118	C₂×D₄	—	2	1	no	—
1119	C₂×D₄	—	2	1	no	—
1120	C₂×D₄	—	2	1	no	—
1121	C₂×D₄	—	4	1	no	—
1122	C₂×D₄	—	4	1	no	—
1123	C₂×D₄	—	4	2	no	—
1124	C₂×D₄	—	4	4	no	—
1125	C₂×D₄	—	4	4	no	—
1126	C₂×D₄	—	4	4	no	—
1127	C₂×D₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1128	C₂×D₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1129	C₂×D₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1130	C₂×D₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1131	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
1132	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
1133	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
1134	C₂²×C₄	—	2	1	no	—
1135	C₂²×C₄	—	2	2	no	—
1136	C₂²×C₄	—	2	2	no	—
1137	C₂²×C₄	—	2	2	no	—
1138	C₂²×C₄	—	2	2	no	—
1139	C₂²×C₄	—	2	1	no	—
1140	C₂²×C₄	—	2	1	no	—
1141	C₂²×C₄	—	2	1	no	—
1142	C₂²×C₄	—	2	1	no	—
1143	C₂²×C₄	—	2	1	no	—
1144	C₂²×C₄	—	2	1	no	—
1145	C₂²×C₄	—	2	1	no	—
1146	C₂²×C₄	—	2	1	no	—
1147	C₂²×C₄	—	2	1	no	—
1148	C₂²×C₄	—	2	1	no	—
1149	C₂²×C₄	—	4	4	no	—
1150	C₂²×C₄	—	4	4	no	—
1151	C₂²×C₄	—	94	1	no	—
1152	C₂²×C₄	—	94	1	no	—
1153	C₂²×C₄	—	94	1	no	—
1154	C₂²×C₄	—	94	1	no	—
1155	C₂²×C₄	—	94	2	no	—
1156	C₂²×C₄	—	94	2	no	—
1157	C₂²×C₄	—	188	4	no	—
1158	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1159	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1160	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1161	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1162	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1163	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1164	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1165	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1166	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1167	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1168	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1169	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1170	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1171	Q₁₆	—	94	4	no	—
1172	Q₁₆	—	188	2	no	—
1173	Q₁₆	—	188	2	no	—
1174	SD₁₆	—	94	4	no	—
1175	SD₁₆	—	188	2	no	—
1176	SD₁₆	—	188	2	no	—
1177	M₁₆	—	94	2	no	—
1178	M₁₆	—	94	2	no	—
1179	M₁₆	—	94	2	no	—
1180	M₁₆	—	94	2	no	—
1181	M₁₆	—	188	2	no	—
1182	M₁₆	—	188	2	no	—
1183	C₂×C₈	—	47	2	no	—
1184	C₂×C₈	—	47	2	no	—
1185	C₂×C₈	—	47	2	no	—
1186	C₂×C₈	—	47	2	no	—
1187	C₂×C₈	—	188	2	no	—
1188	C₂×C₈	—	188	2	no	—
1189	C₄⋊C₄	—	2	1	no	—
1190	C₄⋊C₄	—	2	1	no	—
1191	C₄⋊C₄	—	2	1	no	—
1192	C₄⋊C₄	—	2	1	no	—
1193	C₄⋊C₄	—	2	1	no	—
1194	C₄⋊C₄	—	2	1	no	—
1195	C₄⋊C₄	—	2	1	no	—
1196	C₄⋊C₄	—	2	1	no	—
1197	C₄⋊C₄	—	47	2	no	—
1198	C₄⋊C₄	—	47	2	no	—
1199	C₄⋊C₄	—	47	2	no	—
1200	C₄⋊C₄	—	94	2	no	—
1201	C₄⋊C₄	—	94	2	no	—
1202	C₄⋊C₄	—	94	2	no	—
1203	C₄⋊C₄	—	94	2	no	—
1204	C₄⋊C₄	—	94	2	no	—
1205	C₄⋊C₄	—	94	2	no	—
1206	C₄⋊C₄	—	94	2	no	—
1207	C₄⋊C₄	—	94	2	no	—
1208	C₄⋊C₄	—	94	2	no	—
1209	C₄⋊C₄	—	94	2	no	—
1210	C₄⋊C₄	—	94	1	no	—
1211	C₄⋊C₄	—	94	1	no	—
1212	C₄⋊C₄	—	94	2	no	—
1213	C₄⋊C₄	—	94	2	no	—
1214	C₄⋊C₄	—	94	1	no	—
1215	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1216	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1217	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1218	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1219	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1220	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1221	C₂²⋊C₄	—	2	1	no	—
1222	C₂²⋊C₄	—	2	1	no	—
1223	C₂²⋊C₄	—	2	1	no	—
1224	C₂²⋊C₄	—	2	1	no	—
1225	C₂²⋊C₄	—	2	1	no	—
1226	C₂²⋊C₄	—	2	1	no	—
1227	C₂²⋊C₄	—	2	1	no	—
1228	C₂²⋊C₄	—	2	1	no	—
1229	C₂²⋊C₄	—	2	1	no	—
1230	C₂²⋊C₄	—	2	1	no	—
1231	C₂²⋊C₄	—	2	1	no	—
1232	C₂²⋊C₄	—	2	1	no	—
1233	C₂²⋊C₄	—	2	1	no	—
1234	C₂²⋊C₄	—	2	1	no	—
1235	C₂²⋊C₄	—	2	1	no	—
1236	C₂²⋊C₄	—	94	2	no	—
1237	C₂²⋊C₄	—	94	2	no	—
1238	C₂²⋊C₄	—	94	2	no	—
1239	C₂²⋊C₄	—	94	2	no	—
1240	C₂²⋊C₄	—	94	2	no	—
1241	C₂²⋊C₄	—	94	2	no	—
1242	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1243	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1244	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1245	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1246	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1247	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1248	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1249	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1250	C₄²	—	2	1	no	—
1251	C₄²	—	2	1	no	—
1252	C₄²	—	2	1	no	—
1253	C₄²	—	94	2	no	—
1254	C₄²	—	94	2	no	—
1255	C₄²	—	94	2	no	—
1256	C₄²	—	94	2	no	—
1257	C₄²	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1258	C₄²	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1259	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1260	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1261	C₂³	—	2	2	no	—
1262	C₂³	—	2	2	no	—
1263	C₂³	—	2	1	no	—
1264	C₂³	—	2	2	no	—
1265	C₂³	—	2	1	no	—
1266	C₂³	—	2	1	no	—
1267	C₂³	—	4	1	no	—
1268	C₂³	—	4	1	no	—
1269	C₂³	—	4	1	no	—
1270	C₂³	—	4	2	no	—
1271	C₂³	—	4	2	no	—
1272	C₂³	—	4	2	no	—
1273	C₂³	—	4	2	no	—
1274	C₂³	—	8	1	no	—
1275	C₂³	—	8	1	no	—
1276	C₂³	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1277	C₂³	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1278	C₂³	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1279	C₂³	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1280	C₂³	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1281	Q₈	—	2	1	no	—
1282	Q₈	—	2	1	no	—
1283	Q₈	—	2	1	no	—
1284	Q₈	—	2	1	no	—
1285	Q₈	—	2	1	no	—
1286	Q₈	—	4	2	no	—
1287	Q₈	—	4	2	no	—
1288	Q₈	—	94	2	no	—
1289	Q₈	—	94	2	no	—
1290	Q₈	—	188	2	no	—
1291	Q₈	C₂×#10625352	1	2	yes	—
1292	D₄	—	2	4	no	—
1293	D₄	—	2	2	no	—
1294	D₄	—	2	2	no	—
1295	D₄	—	2	1	no	—
1296	D₄	—	2	1	no	—
1297	D₄	—	2	1	no	—
1298	D₄	—	2	1	no	—
1299	D₄	—	2	1	no	—
1300	D₄	—	4	1	no	—
1301	D₄	—	4	1	no	—
1302	D₄	—	4	2	no	—
1303	D₄	—	4	2	no	—
1304	D₄	—	4	2	no	—
1305	D₄	—	4	2	no	—
1306	D₄	—	4	2	no	—
1307	D₄	—	4	2	no	—
1308	D₄	—	4	2	no	—
1309	D₄	—	4	2	no	—
1310	D₄	—	4	2	no	—
1311	D₄	—	4	2	no	—
1312	D₄	—	4	2	no	—
1313	D₄	—	8	1	no	—
1314	D₄	—	8	1	no	—
1315	D₄	—	8	1	no	—
1316	D₄	C₂×#10625352	1	2	yes	—
1317	C₂×C₄	—	2	2	no	—
1318	C₂×C₄	—	2	2	no	—
1319	C₂×C₄	—	2	1	no	—
1320	C₂×C₄	—	2	2	no	—
1321	C₂×C₄	—	2	2	no	—
1322	C₂×C₄	—	2	2	no	—
1323	C₂×C₄	—	2	2	no	—
1324	C₂×C₄	—	2	4	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	1	no	—
1328	C₂×C₄	—	2	1	no	—
1329	C₂×C₄	—	2	1	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	1	no	—
1332	C₂×C₄	—	2	1	no	—
1333	C₂×C₄	—	2	1	no	—
1334	C₂×C₄	—	2	1	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	4	1	no	—
1338	C₂×C₄	—	4	1	no	—
1339	C₂×C₄	—	4	2	no	—
1340	C₂×C₄	—	4	2	no	—
1341	C₂×C₄	—	4	2	no	—
1342	C₂×C₄	—	4	2	no	—
1343	C₂×C₄	—	4	2	no	—
1344	C₂×C₄	—	4	2	no	—
1345	C₂×C₄	—	4	2	no	—
1346	C₂×C₄	—	4	2	no	—
1347	C₂×C₄	—	4	2	no	—
1348	C₂×C₄	—	8	1	no	—
1349	C₂×C₄	—	94	2	no	—
1350	C₂×C₄	—	94	2	no	—
1351	C₂×C₄	—	94	2	no	—
1352	C₂×C₄	—	94	2	no	—
1353	C₂×C₄	—	188	2	no	—
1354	C₂×C₄	—	188	2	no	—
1355	C₂×C₄	—	188	2	no	—
1356	C₂×C₄	—	188	4	no	—
1357	C₂×C₄	—	188	2	no	—
1358	C₂×C₄	—	188	4	no	—
1359	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1360	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1361	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1362	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1363	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1364	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1365	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1366	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1367	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1368	C₂×C₄	C₂×#10625352	1	2	yes	—
1369	C₂×C₄	#13094069	1	2	yes	—
1370	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1371	C₈	—	94	2	no	—
1372	C₈	—	94	2	no	—
1373	C₈	—	94	2	no	—
1374	C₈	—	94	2	no	—
1375	C₂²	—	2	1	no	—
1376	C₂²	—	2	1	no	—
1377	C₂²	—	2	1	no	—
1378	C₂²	—	2	1	no	—
1379	C₂²	—	2	1	no	—
1380	C₂²	—	2	1	no	—
1381	C₂²	—	2	1	no	—
1382	C₂²	—	2	2	no	—
1383	C₂²	—	2	1	no	—
1384	C₂²	—	2	1	no	—
1385	C₂²	—	2	1	no	—
1386	C₂²	—	2	1	no	—
1387	C₂²	—	2	1	no	—
1388	C₂²	—	2	1	no	—
1389	C₂²	—	4	4	no	—
1390	C₂²	—	4	1	no	—
1391	C₂²	—	4	1	no	—
1392	C₂²	—	4	1	no	—
1393	C₂²	—	4	1	no	—
1394	C₂²	—	4	1	no	—
1395	C₂²	—	4	1	no	—
1396	C₂²	—	4	1	no	—
1397	C₂²	—	4	1	no	—
1398	C₂²	—	8	2	no	—
1399	C₂²	—	8	4	no	—
1400	C₂²	—	8	4	no	—
1401	C₂²	#15689767	1	2	yes	—
1402	C₂²	#15689921	1	2	yes	—
1403	C₂²	C₂³×C₂²⋊D₄₇	1	1	yes	characteristic
1404	C₄	—	2	1	no	—
1405	C₄	—	2	1	no	—
1406	C₄	—	2	1	no	—
1407	C₄	—	2	1	no	—
1408	C₄	—	2	2	no	—
1409	C₄	—	2	1	no	—
1410	C₄	—	2	1	no	—
1411	C₄	—	2	1	no	—
1412	C₄	—	2	1	no	—
1413	C₄	—	4	1	no	—
1414	C₄	—	4	1	no	—
1415	C₄	—	4	1	no	—
1416	C₄	—	4	1	no	—
1417	C₄	—	188	2	no	—
1418	C₄	—	188	2	no	—
1419	C₄	—	188	2	no	—
1420	C₄	—	188	2	no	—
1421	C₄	#15689767	1	2	yes	—
1422	C₄	C₂²×#10625352	1	1	yes	characteristic
1423	C₄	C₂×#13094069	1	1	yes	characteristic
1424	C₂	—	2	2	no	—
1425	C₂	—	2	2	no	—
1426	C₂	—	4	1	no	—
1427	C₂	—	4	1	no	—
1428	C₂	—	4	1	no	—
1429	C₂	—	4	2	no	—
1430	C₂	—	8	1	no	—
1431	C₂	—	8	1	no	—
1432	C₂	C₂×#15689767	1	1	yes	characteristic
1433	C₂	C₂×#15689921	1	1	yes	characteristic
1434	C₂	#20258174	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×C₂²⋊D₄₇
commutator, cosocle	C₂×C₄×C₄₇	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₇
Fitting, prime radical	D₄×#41×C₄₇	C₂
socle	C₂²×C₄₇	C₂³×D₄
hypercenter	D₄×#41	D₄₇
hypocenter	C₄₇	#61163
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ C₂×C₄×D₄ ◁ D₄×#41

Complements

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

N	H ≅ G/N	type
1. C₂×#15689813	C₂	semidirect
2. #20255656	C₂	semidirect
3. #20255604	C₂	semidirect
4. #20255514	C₂	semidirect
5. #20255484	C₂	semidirect
6. #20255439	C₂	semidirect
7. #20255409	C₂	semidirect
8. #20255275	C₂	semidirect
9. #20255223	C₂	semidirect
10. #20253788	C₂	semidirect
11. #20253317	C₂	semidirect
12. #20253308	C₂	semidirect
13. #20253210	C₂	semidirect
14. #20253020	C₂	semidirect
15. #20253020	C₂	semidirect
16. #20252856	C₂	semidirect
17. #20252648	C₂	semidirect
18. #20252648	C₂	semidirect
19. C₄×#13094054	C₂	semidirect
20. D₄×#10625329	C₂	semidirect
21. #20251907	C₂	semidirect
22. C₂×#15689124	C₂	semidirect
25. C₂×#13094054	C₂²	semidirect
26. C₂×#13094054	C₂²	semidirect
27. C₂²×#10625329	C₂²	semidirect
28. C₂²×#10625329	C₂²	semidirect
34. #15689813	C₂²	semidirect
35. #15689813	C₂²	semidirect
36. #15689813	C₂²	semidirect
38. C₂×#13094016	C₂²	semidirect
41. C₂×#13094003	C₂²	semidirect
42. C₂×#13094003	C₂²	semidirect
43. C₂×C₄×Dic₉₄	C₂²	semidirect
44. C₂×#13093983	C₂²	semidirect
46. C₂²×C₄⋊Dic₄₇	C₂²	semidirect
47. #15689491	C₂²	semidirect
48. #15689487	C₂²	semidirect
49. #15689477	C₂²	semidirect
50. #15689477	C₂²	semidirect
51. #15689461	C₂²	semidirect
52. #15689461	C₂²	semidirect
53. #15689456	C₂²	semidirect
54. #15689451	C₂²	semidirect
55. #15689444	C₂²	semidirect
56. #15689444	C₂²	semidirect
57. #15689439	C₂²	semidirect
58. #15689434	C₂²	semidirect
59. #15689430	C₂²	semidirect
60. #15689430	C₂²	semidirect
61. #15689423	C₂²	semidirect
62. #15689423	C₂²	semidirect
63. #15689379	C₂²	semidirect
64. #15689379	C₂²	semidirect
65. #15689367	C₂²	semidirect
66. #15689367	C₂²	semidirect
67. #15689362	C₂²	semidirect
68. #15689362	C₂²	semidirect
69. #15689350	C₂²	semidirect
70. #15689350	C₂²	semidirect
71. #15689342	C₂²	semidirect
72. #15689342	C₂²	semidirect
73. #15689330	C₂²	semidirect
74. #15689320	C₂²	semidirect
75. #15689285	C₂²	semidirect
76. #15689285	C₂²	semidirect
77. #15689285	C₂²	semidirect
78. #15689285	C₂²	semidirect
79. #15689279	C₂²	semidirect
80. #15689279	C₂²	semidirect
81. #15689274	C₂²	semidirect
82. #15689274	C₂²	semidirect
83. #15689228	C₂²	semidirect
84. #15689223	C₂²	semidirect
85. C₄×#10625337	C₂²	semidirect
86. C₄×#10625335	C₂²	semidirect
87. #15689201	C₂²	semidirect
89. #15689195	C₂²	semidirect
90. D₄×C₄₇⋊C₈	C₂²	semidirect
91. #15689166	C₂²	semidirect
92. #15689166	C₂²	semidirect
93. #15689166	C₂²	semidirect
94. #15689147	C₂²	semidirect
95. #15689132	C₂²	semidirect
96. #15689131	C₂²	semidirect
97. #15689128	C₂²	semidirect
101. #15689124	C₂²	semidirect
102. #15689124	C₂²	semidirect
103. #15689124	C₂²	semidirect
104. #15689124	C₂²	semidirect
105. #15689124	C₂²	semidirect
106. #15689124	C₂²	semidirect
107. #15689124	C₂²	semidirect
108. #15689124	C₂²	semidirect
109. #15689119	C₂²	semidirect
110. #15689119	C₂²	semidirect
111. C₂×#13093948	C₂²	semidirect
112. C₂×#13093945	C₂²	semidirect
113. #15689087	C₂²	semidirect
114. #15689087	C₂²	semidirect
115. C₄×#10625329	C₂²	semidirect
856. C₄₇	#61163	semidirect

Maximal subgroups

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

subgroup	index
C₂×#15689813	2
#20255656	2
#20255604	2
#20255514	2
#20255484	2
#20255439	2
#20255409	2
#20255275	2
#20255223	2
#20253788	2
#20253317	2
#20253308	2
#20253210	2
#20253020	2
#20252856	2
#20252648	2
C₄×#13094054	2
D₄×#10625329	2
#20251907	2
C₂×#15689124	2
D₄×#41×C₄₇	2
#61163	47