Subgroups — #27106961

Order 12032.

1730 conjugacy classes of subgroups.

The subgroup lattice has 1120 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20257861	C₂	1	1	yes	maximal, characteristic, complemented
2	#20257191	C₂	1	1	yes	maximal, characteristic, complemented
3	#20256346	C₂	1	2	yes	maximal, complemented
4	#20256307	C₂	1	1	yes	maximal, characteristic, complemented
5	#20256285	C₂	1	1	yes	maximal, characteristic, complemented
6	#20256261	C₂	1	1	yes	maximal, characteristic, complemented
7	#20256250	C₂	1	2	yes	maximal, complemented
8	D₈×Dic₉₄	C₂	1	1	yes	maximal, characteristic, complemented
9	#20256178	C₂	1	1	yes	maximal, characteristic, complemented
10	#20256145	C₂	1	2	yes	maximal, complemented
11	#20256093	C₂	1	1	yes	maximal, characteristic, complemented
12	#20256046	C₂	1	1	yes	maximal, characteristic, complemented
13	#20256043	C₂	1	2	yes	maximal, complemented
14	#20256021	C₂	1	1	yes	maximal, characteristic, complemented
15	#20254675	C₂	1	2	yes	maximal, complemented
16	#20254645	C₂	1	2	yes	maximal, complemented
17	#20254563	C₂	1	1	yes	maximal, characteristic, complemented
18	#20254526	C₂	1	1	yes	maximal, characteristic, complemented
19	#20253625	C₂	1	2	yes	maximal, complemented
20	#20253573	C₂	1	2	yes	maximal, complemented
21	#20253388	C₂	1	1	yes	maximal, characteristic, complemented
22	#20252489	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₇×#3105	C₂	1	1	yes	maximal, characteristic, complemented
24	#15689870	—	2	2	no	—
25	#15689858	C₂²	1	1	yes	characteristic, complemented
26	#15689855	C₂²	1	2	yes	complemented
27	#15689852	C₂²	1	1	yes	characteristic, complemented
28	#15689832	—	2	2	no	—
29	#15689832	C₂²	1	2	yes	—
30	#15689832	C₂²	1	2	yes	—
31	#15689830	—	2	1	no	—
32	#15689830	C₂²	1	1	yes	characteristic
33	#15689830	C₂²	1	1	yes	characteristic
34	#15689829	C₂²	1	2	yes	complemented
35	#15689794	C₂²	1	1	yes	characteristic, complemented
36	D₄×Dic₉₄	—	2	1	no	—
37	D₄×Dic₉₄	C₂²	1	1	yes	characteristic
38	D₄×Dic₉₄	C₂²	1	1	yes	characteristic
39	D₄×Dic₉₄	C₂²	1	1	yes	characteristic, complemented
40	#15689782	—	2	1	no	—
41	#15689778	—	2	1	no	—
42	#15689754	C₂²	1	2	yes	—
43	#15689749	—	2	2	no	—
44	#15689746	C₂²	1	2	yes	—
45	#15689744	—	2	1	no	—
46	#15689726	C₂²	1	2	yes	—
47	#15689714	—	2	2	no	—
48	#15689699	—	2	1	no	—
49	#15689680	C₂²	1	1	yes	characteristic
50	#15689680	C₂²	1	1	yes	characteristic
51	#15689673	C₂²	1	1	yes	characteristic
52	C₂×#13094003	—	2	1	no	—
53	C₂×#13094003	—	2	1	no	—
54	#15689598	C₂²	1	2	yes	—
55	#15689531	C₂²	1	2	yes	complemented
56	#15689530	C₂²	1	2	yes	complemented
57	#15689528	C₂²	1	1	yes	characteristic, complemented
58	#15689527	C₂²	1	2	yes	complemented
59	#15689523	C₂²	1	2	yes	complemented
60	#15689522	C₂²	1	2	yes	complemented
61	#15689521	C₂²	1	1	yes	characteristic, complemented
62	#15689486	C₂²	1	2	yes	complemented
63	#15689484	C₂²	1	2	yes	complemented
64	#15689479	C₂²	1	2	yes	complemented
65	#15689477	C₂²	1	2	yes	complemented
66	#15689470	C₂²	1	1	yes	characteristic, complemented
67	#15689470	C₂²	1	1	yes	characteristic, complemented
68	#15689468	C₂²	1	2	yes	complemented
69	#15689461	C₂²	1	2	yes	—
70	#15689448	C₂²	1	2	yes	—
71	#15689448	C₂²	1	2	yes	—
72	#15689444	C₂²	1	2	yes	—
73	#15689436	C₂²	1	2	yes	—
74	#15689428	C₂²	1	2	yes	complemented
75	#15689426	C₂²	1	2	yes	complemented
76	#15689425	C₂²	1	2	yes	—
77	#15689425	C₂²	1	2	yes	complemented
78	#15689424	C₂²	1	2	yes	complemented
79	#15689424	C₂²	1	2	yes	complemented
80	#15689422	C₂²	1	2	yes	complemented
81	#15689421	C₂²	1	2	yes	—
82	#15689418	C₂²	1	1	yes	characteristic, complemented
83	#15689416	C₂²	1	2	yes	complemented
84	#15689413	C₂²	1	1	yes	characteristic, complemented
85	#15689412	C₂²	1	2	yes	complemented
86	#15689411	C₂²	1	2	yes	—
87	#15689408	C₂²	1	1	yes	characteristic, complemented
88	#15689403	C₂²	1	1	yes	characteristic
89	#15689403	C₂²	1	1	yes	characteristic
90	#15689403	C₂²	1	1	yes	characteristic, complemented
91	#15689402	C₂²	1	2	yes	complemented
92	#15689401	C₂²	1	2	yes	—
93	#15689401	C₂²	1	2	yes	complemented
94	#15689340	C₂²	1	2	yes	—
95	#15689340	C₂²	1	2	yes	—
96	#15689318	C₂²	1	1	yes	characteristic
97	#15689318	C₂²	1	1	yes	characteristic
98	#15689316	C₂²	1	2	yes	—
99	#15689316	C₂²	1	2	yes	—
100	#15689257	C₂²	1	2	yes	—
101	#15689253	C₂²	1	1	yes	characteristic, complemented
102	#15689253	C₂²	1	1	yes	characteristic, complemented
103	#15689250	C₂²	1	2	yes	complemented
104	C₈×Dic₉₄	C₂²	1	1	yes	characteristic, complemented
105	C₈×Dic₉₄	C₂²	1	1	yes	characteristic, complemented
106	#15689247	C₂²	1	2	yes	complemented
107	#15689235	C₂²	1	2	yes	—
108	#15689232	C₂²	1	2	yes	—
109	#15689232	C₂²	1	2	yes	—
110	#15689224	C₂²	1	2	yes	—
111	SD₁₆×Dic₄₇	C₂²	1	2	yes	—
112	D₈×Dic₄₇	C₂²	1	2	yes	—
113	C₄×#10625334	C₂²	1	2	yes	—
114	C₄×#10625334	C₂²	1	2	yes	—
115	#15689203	C₂²	1	2	yes	—
116	#15689203	C₂²	1	2	yes	—
117	#15689181	C₂²	1	2	yes	—
118	#15689181	C₂²	1	2	yes	—
119	#15689176	C₂²	1	1	yes	characteristic
120	C₄₇×#529	C₂²	1	1	yes	characteristic
121	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
122	C₄₇×#484	C₂²	1	1	yes	characteristic
123	C₄₇×#481	C₂²	1	1	yes	characteristic
124	C₄₇×#478	C₂²	1	1	yes	characteristic
125	C₄₇×#478	C₂²	1	1	yes	characteristic
126	C₄₇×#463	C₂²	1	1	yes	characteristic
127	C₄₇×#463	C₂²	1	1	yes	characteristic
128	C₄₇×#450	C₂²	1	1	yes	characteristic
129	C₄₇×#447	C₂²	1	1	yes	characteristic
130	C₄×SD₁₆×C₄₇	C₂²	1	1	yes	characteristic
131	C₄×SD₁₆×C₄₇	C₂²	1	1	yes	characteristic
132	C₄×D₈×C₄₇	C₂²	1	1	yes	characteristic
133	C₄×D₈×C₄₇	C₂²	1	1	yes	characteristic
134	C₄₇×#431	C₂²	1	1	yes	characteristic
135	C₂×#10625350	—	2	1	no	—
136	C₂×#10625350	—	2	1	no	—
137	C₂²×Dic₉₄	—	2	1	no	—
138	C₂²×Dic₉₄	—	2	1	no	—
139	C₂²×Dic₉₄	—	2	1	no	—
140	C₂×#10625334	C₂³	1	2	yes	—
141	C₂×#10625334	C₂³	1	2	yes	—
142	#13094024	—	2	1	no	—
143	#13094024	D₄	1	1	yes	characteristic
144	#13094024	D₄	1	1	yes	characteristic
145	#13094024	C₂³	1	1	yes	characteristic
146	#13094024	C₂³	1	1	yes	characteristic
147	#13094024	C₂³	1	1	yes	characteristic
148	#13094023	—	2	2	no	—
149	#13094023	C₂³	1	2	yes	—
150	#13094023	C₂³	1	2	yes	—
151	#13094023	C₂³	1	2	yes	—
152	#13094021	C₂³	1	1	yes	characteristic
153	#13094020	C₂³	1	2	yes	—
154	#13094019	—	2	2	no	—
155	#13094016	D₄	1	2	yes	—
156	#13094016	C₂³	1	2	yes	—
157	#13094015	—	2	2	no	—
158	#13094015	—	2	2	no	—
159	#13094015	C₂³	1	2	yes	—
160	#13094015	C₂³	1	2	yes	—
161	#13094015	C₂³	1	2	yes	—
162	#13094013	C₂³	1	2	yes	—
163	#13094012	—	2	1	no	—
164	#13094012	—	2	1	no	—
165	#13094010	—	2	2	no	—
166	#13094010	—	2	2	no	—
167	#13094009	—	2	2	no	—
168	#13094008	—	2	2	no	—
169	#13094008	—	2	2	no	—
170	#13094006	—	2	2	no	—
171	#13094006	—	2	2	no	—
172	#13094006	—	2	2	no	—
173	#13094004	—	2	2	no	—
174	#13094004	—	2	2	no	—
175	#13094003	—	2	1	no	—
176	#13094003	—	2	1	no	—
177	#13094003	—	2	1	no	—
178	#13094003	—	2	1	no	—
179	#13094003	—	2	2	no	—
180	#13094003	—	2	2	no	—
181	#13094003	—	2	1	no	—
182	#13094003	—	2	1	no	—
183	#13094003	—	2	1	no	—
184	#13094003	—	2	2	no	—
185	#13094003	—	2	2	no	—
186	#13094003	D₄	1	2	yes	—
187	#13094003	D₄	1	1	yes	characteristic
188	#13094003	D₄	1	1	yes	characteristic
189	#13094002	—	2	2	no	—
190	#13094002	—	2	2	no	—
191	#13094001	—	2	2	no	—
192	#13094001	—	2	2	no	—
193	#13094001	—	2	2	no	—
194	#13094001	—	2	2	no	—
195	#13094001	—	2	2	no	—
196	#13094001	—	2	2	no	—
197	#13094001	—	2	2	no	—
198	#13094001	—	2	2	no	—
199	#13094001	—	2	2	no	—
200	#13093998	—	2	1	no	—
201	#13093998	—	2	1	no	—
202	#13093998	C₂³	1	2	yes	—
203	#13093997	—	2	2	no	—
204	#13093996	—	2	2	no	—
205	#13093995	—	2	2	no	—
206	Q₈×Dic₄₇	C₂³	1	2	yes	—
207	C₄×Dic₉₄	—	2	1	no	—
208	C₄×Dic₉₄	—	2	1	no	—
209	C₄×Dic₉₄	—	2	1	no	—
210	C₄×Dic₉₄	C₂³	1	2	yes	—
211	C₄×Dic₉₄	C₂³	1	1	yes	characteristic
212	C₄×Dic₉₄	C₂³	1	1	yes	characteristic
213	C₄×D₁₈₈	—	2	1	no	—
214	C₄×D₁₈₈	—	2	1	no	—
215	C₄×D₁₈₈	C₂³	1	2	yes	—
216	D₄×Dic₄₇	—	2	2	no	—
217	D₄×Dic₄₇	—	2	2	no	—
218	D₄×Dic₄₇	C₂³	1	2	yes	—
219	D₄×Dic₄₇	C₂³	1	2	yes	—
220	D₄×Dic₄₇	C₂³	1	2	yes	—
221	D₄×Dic₄₇	C₂³	1	2	yes	—
222	D₄×Dic₄₇	C₂³	1	2	yes	—
223	#13093986	C₂³	1	2	yes	—
224	#13093986	C₂³	1	2	yes	—
225	(C₂²⋊D₄₇)⋊C₄	—	2	2	no	—
226	#13093983	C₂³	1	2	yes	—
227	#13093983	C₂³	1	2	yes	—
228	C₂×C₄⋊Dic₄₇	—	2	1	no	—
229	C₂×C₄⋊Dic₄₇	—	2	1	no	—
230	C₂×Dic₄₇⋊C₄	—	2	2	no	—
231	C₂×Dic₄₇⋊C₄	—	2	2	no	—
232	C₄⋊C₄×D₄₇	—	2	2	no	—
233	C₂×C₂²⋊Dic₄₇	—	2	2	no	—
234	C₂×C₂²⋊Dic₄₇	—	2	2	no	—
235	#13093958	C₂³	1	2	yes	—
236	#13093958	C₂³	1	2	yes	—
237	#13093957	C₂³	1	2	yes	—
238	#13093957	C₂³	1	2	yes	—
239	#13093957	C₂³	1	2	yes	—
240	#13093957	C₂³	1	2	yes	—
241	#13093956	C₂³	1	2	yes	—
242	#13093956	C₂³	1	2	yes	—
243	#13093955	C₂³	1	2	yes	—
244	#13093955	C₂³	1	2	yes	—
245	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
246	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
247	Dic₄₇⋊C₈	C₂³	1	2	yes	—
248	Dic₄₇⋊C₈	C₂³	1	2	yes	—
249	Dic₄₇⋊C₈	C₂³	1	2	yes	—
250	Dic₄₇⋊C₈	C₂³	1	2	yes	—
251	#13093948	C₂³	1	2	yes	—
252	#13093948	C₂³	1	2	yes	—
253	#13093946	C₂³	1	2	yes	—
254	#13093946	C₂³	1	2	yes	—
255	#13093946	C₂³	1	2	yes	—
256	#13093946	C₂³	1	2	yes	—
257	#13093945	C₂³	1	2	yes	—
258	#13093945	C₂³	1	2	yes	—
259	#13093945	C₂³	1	2	yes	—
260	#13093945	C₂³	1	2	yes	—
261	#13093944	C₂³	1	2	yes	—
262	#13093944	C₂³	1	2	yes	—
263	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
264	#13093934	C₂³	1	2	yes	—
265	#13093934	C₂³	1	2	yes	—
266	C₄×C₄₇⋊C₈	C₂³	1	2	yes	—
267	C₈×Dic₄₇	C₂³	1	2	yes	—
268	C₈×Dic₄₇	C₂³	1	2	yes	—
269	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
270	C₂³×C₄×C₄₇	—	2	1	no	—
271	C₂×SD₁₆×C₄₇	C₂³	1	1	yes	characteristic
272	C₂×SD₁₆×C₄₇	C₂³	1	1	yes	characteristic
273	C₂×D₈×C₄₇	C₂³	1	1	yes	characteristic
274	C₂×D₈×C₄₇	C₂³	1	1	yes	characteristic
275	#126×C₄₇	—	2	1	no	—
276	#125×C₄₇	C₂³	1	1	yes	characteristic
277	#124×C₄₇	C₂³	1	1	yes	characteristic
278	#123×C₄₇	—	2	1	no	—
279	C₂²⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
280	#121×C₄₇	C₂³	1	1	yes	characteristic
281	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
282	C₄×D₄×C₄₇	—	2	1	no	—
283	C₄×D₄×C₄₇	—	2	1	no	—
284	C₄×D₄×C₄₇	—	2	1	no	—
285	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
286	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
287	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
288	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
289	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
290	#117×C₄₇	—	2	1	no	—
291	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
292	C₂×C₂²⋊C₄×C₄₇	—	2	1	no	—
293	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
294	#107×C₄₇	C₂³	1	1	yes	characteristic
295	#107×C₄₇	C₂³	1	1	yes	characteristic
296	#106×C₄₇	C₂³	1	1	yes	characteristic
297	#106×C₄₇	C₂³	1	1	yes	characteristic
298	C₄⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
299	C₄⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
300	#103×C₄₇	C₂³	1	1	yes	characteristic
301	#103×C₄₇	C₂³	1	1	yes	characteristic
302	#102×C₄₇	C₂³	1	1	yes	characteristic
303	#102×C₄₇	C₂³	1	1	yes	characteristic
304	#102×C₄₇	C₂³	1	1	yes	characteristic
305	#102×C₄₇	C₂³	1	1	yes	characteristic
306	#102×C₄₇	C₂³	1	1	yes	characteristic
307	#102×C₄₇	C₂³	1	1	yes	characteristic
308	C₂²⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
309	C₂²⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
310	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
311	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
312	C₂⁴×C₄₇	—	2	1	no	—
313	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
314	C₂×D₄×C₄₇	—	2	2	no	—
315	C₂×D₄×C₄₇	—	2	2	no	—
316	C₂×D₄×C₄₇	—	2	1	no	—
317	C₂×D₄×C₄₇	—	2	1	no	—
318	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
319	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
320	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
321	C₂²×C₄×C₄₇	—	2	1	no	—
322	C₂²×C₄×C₄₇	—	2	1	no	—
323	C₂²×C₄×C₄₇	—	2	1	no	—
324	C₂²×C₄×C₄₇	—	2	1	no	—
325	C₂²×C₄×C₄₇	—	2	1	no	—
326	C₂²×C₄×C₄₇	—	2	1	no	—
327	C₂²×C₄×C₄₇	—	8	2	no	—
328	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
329	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
330	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
331	C₂×C₂²⋊D₄₇	—	2	2	no	—
332	C₂×C₂²⋊D₄₇	—	2	2	no	—
333	C₂×C₂²⋊D₄₇	—	2	2	no	—
334	C₂²×Dic₄₇	—	2	2	no	—
335	C₂²×Dic₄₇	—	2	2	no	—
336	C₂²×Dic₄₇	—	2	2	no	—
337	C₂²×Dic₄₇	—	2	2	no	—
338	C₂²×Dic₄₇	—	2	2	no	—
339	#10625350	—	8	2	no	—
340	#10625350	—	8	2	no	—
341	C₂×D₁₈₈	—	2	1	no	—
342	C₂×D₁₈₈	—	2	1	no	—
343	C₂×D₁₈₈	C₂⁴	1	2	yes	—
344	C₂×C₄×D₄₇	—	2	2	no	—
345	C₂×C₄×D₄₇	—	2	2	no	—
346	C₂×C₄×D₄₇	—	2	2	no	—
347	C₂×Dic₉₄	—	2	1	no	—
348	C₂×Dic₉₄	—	2	1	no	—
349	C₂×Dic₉₄	—	2	1	no	—
350	C₂×Dic₉₄	—	2	2	no	—
351	C₂×Dic₉₄	—	2	2	no	—
352	C₂×Dic₉₄	—	2	2	no	—
353	C₂×Dic₉₄	—	8	2	no	—
354	C₂×Dic₉₄	—	8	2	no	—
355	C₂×Dic₉₄	—	8	2	no	—
356	C₂×Dic₉₄	C₂×D₄	1	1	yes	characteristic
357	C₂×Dic₉₄	C₂×D₄	1	1	yes	characteristic
358	C₂×Dic₉₄	C₂×D₄	1	2	yes	—
359	SD₁₆×C₄₇	—	2	2	no	—
360	SD₁₆×C₄₇	—	2	2	no	—
361	D₈×C₄₇	—	2	2	no	—
362	D₈×C₄₇	—	2	2	no	—
363	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
364	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
365	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
366	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
367	C₄⋊C₄×C₄₇	—	2	1	no	—
368	C₄⋊C₄×C₄₇	—	2	1	no	—
369	C₄⋊C₄×C₄₇	—	2	1	no	—
370	C₄⋊C₄×C₄₇	—	2	1	no	—
371	C₄⋊C₄×C₄₇	—	2	1	no	—
372	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
373	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
374	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
375	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
376	C₂²⋊C₄×C₄₇	—	2	1	no	—
377	C₂²⋊C₄×C₄₇	—	2	1	no	—
378	C₂²⋊C₄×C₄₇	—	2	1	no	—
379	C₂²⋊C₄×C₄₇	—	2	1	no	—
380	C₂²⋊C₄×C₄₇	—	2	1	no	—
381	C₂²⋊C₄×C₄₇	—	2	1	no	—
382	C₂²⋊C₄×C₄₇	—	2	1	no	—
383	C₂²⋊C₄×C₄₇	—	2	1	no	—
384	C₂²⋊C₄×C₄₇	—	2	1	no	—
385	C₄²×C₄₇	—	2	1	no	—
386	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
387	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
388	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
389	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
390	C₂²⋊Dic₄₇	—	2	2	no	—
391	C₂²⋊Dic₄₇	—	2	2	no	—
392	C₂²⋊Dic₄₇	—	2	2	no	—
393	C₂²⋊Dic₄₇	—	2	2	no	—
394	C₂²⋊Dic₄₇	—	2	2	no	—
395	C₂²⋊Dic₄₇	—	2	2	no	—
396	C₂²⋊Dic₄₇	C₂×D₄	1	2	yes	—
397	C₂²⋊Dic₄₇	C₂×D₄	1	2	yes	—
398	#10625334	—	2	4	no	—
399	#10625334	—	2	4	no	—
400	(C₂×D₄₇)⋊C₄	—	2	2	no	—
401	(C₂×D₄₇)⋊C₄	—	2	2	no	—
402	(C₂×D₄₇)⋊C₄	—	2	2	no	—
403	(C₂×D₄₇)⋊C₄	—	2	2	no	—
404	(C₂×D₄₇)⋊C₄	—	2	2	no	—
405	(C₂×D₄₇)⋊C₄	—	2	2	no	—
406	C₄⋊Dic₄₇	—	2	1	no	—
407	C₄⋊Dic₄₇	—	2	1	no	—
408	C₄⋊Dic₄₇	—	2	1	no	—
409	C₄⋊Dic₄₇	—	2	2	no	—
410	C₄⋊Dic₄₇	—	2	2	no	—
411	C₄⋊Dic₄₇	—	2	2	no	—
412	C₄⋊Dic₄₇	—	2	2	no	—
413	C₄⋊Dic₄₇	C₂×D₄	1	1	yes	characteristic
414	C₄⋊Dic₄₇	C₂×D₄	1	1	yes	characteristic
415	C₄⋊Dic₄₇	C₂×D₄	1	2	yes	—
416	C₄⋊Dic₄₇	C₂×D₄	1	2	yes	—
417	C₄⋊Dic₄₇	C₂×D₄	1	2	yes	—
418	C₄⋊Dic₄₇	C₂⁴	1	2	yes	—
419	C₄⋊Dic₄₇	C₂⁴	1	2	yes	—
420	C₄⋊Dic₄₇	C₂⁴	1	2	yes	—
421	Dic₄₇⋊C₄	—	2	2	no	—
422	Dic₄₇⋊C₄	—	2	2	no	—
423	Dic₄₇⋊C₄	—	2	2	no	—
424	Dic₄₇⋊C₄	—	2	2	no	—
425	Dic₄₇⋊C₄	—	2	2	no	—
426	Dic₄₇⋊C₄	—	2	2	no	—
427	Dic₄₇⋊C₄	—	2	2	no	—
428	Dic₄₇⋊C₄	—	2	2	no	—
429	Dic₄₇⋊C₄	C₂×D₄	1	2	yes	—
430	Dic₄₇⋊C₄	C₂×D₄	1	2	yes	—
431	Dic₄₇⋊C₄	C₂×D₄	1	2	yes	—
432	Dic₄₇⋊C₄	C₂×D₄	1	2	yes	—
433	C₄×Dic₄₇	—	2	2	no	—
434	C₄×Dic₄₇	—	2	2	no	—
435	C₄×Dic₄₇	C₂⁴	1	2	yes	—
436	C₄×Dic₄₇	C₂⁴	1	2	yes	—
437	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
438	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
439	C₂³×C₄₇	—	2	4	no	—
440	C₂³×C₄₇	—	2	1	no	—
441	C₂³×C₄₇	—	2	1	no	—
442	C₂³×C₄₇	—	2	1	no	—
443	C₂³×C₄₇	—	8	1	no	—
444	C₂³×C₄₇	—	8	1	no	—
445	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
446	C₂²×D₄₇	—	2	2	no	—
447	Q₈×C₄₇	—	2	1	no	—
448	Q₈×C₄₇	—	2	1	no	—
449	D₄×C₄₇	—	2	4	no	—
450	D₄×C₄₇	—	2	1	no	—
451	D₄×C₄₇	—	2	1	no	—
452	D₄×C₄₇	—	2	1	no	—
453	D₄×C₄₇	—	2	1	no	—
454	D₄×C₄₇	—	8	1	no	—
455	D₄×C₄₇	2₋¹⁺⁴	1	2	yes	—
456	D₄×C₄₇	2₋¹⁺⁴	1	2	yes	—
457	C₂×C₄×C₄₇	—	2	2	no	—
458	C₂×C₄×C₄₇	—	2	1	no	—
459	C₂×C₄×C₄₇	—	2	1	no	—
460	C₂×C₄×C₄₇	—	2	1	no	—
461	C₂×C₄×C₄₇	—	2	1	no	—
462	C₂×C₄×C₄₇	—	2	1	no	—
463	C₂×C₄×C₄₇	—	2	1	no	—
464	C₂×C₄×C₄₇	—	2	1	no	—
465	C₂×C₄×C₄₇	—	4	1	no	—
466	C₂×C₄×C₄₇	—	4	2	no	—
467	C₂×C₄×C₄₇	—	4	2	no	—
468	C₂×C₄×C₄₇	—	4	2	no	—
469	C₂×C₄×C₄₇	—	8	1	no	—
470	C₂×C₄×C₄₇	—	8	1	no	—
471	C₂×C₄×C₄₇	—	8	1	no	—
472	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
473	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
474	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
475	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
476	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
477	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
478	C₂²⋊D₄₇	—	8	2	no	—
479	C₂²⋊D₄₇	—	8	2	no	—
480	C₂²⋊D₄₇	—	8	2	no	—
481	C₂×Dic₄₇	—	2	2	no	—
482	C₂×Dic₄₇	—	2	2	no	—
483	C₂×Dic₄₇	—	2	2	no	—
484	C₂×Dic₄₇	—	8	2	no	—
485	C₂×Dic₄₇	—	8	2	no	—
486	C₂×Dic₄₇	—	8	2	no	—
487	C₂×Dic₄₇	—	8	2	no	—
488	C₂×Dic₄₇	—	8	2	no	—
489	C₂×Dic₄₇	C₂²×D₄	1	2	yes	—
490	C₂×Dic₄₇	C₂²×D₄	1	2	yes	—
491	C₂×Dic₄₇	C₂²×D₄	1	2	yes	—
492	C₂×Dic₄₇	C₂²×D₄	1	2	yes	—
493	D₁₈₈	—	2	2	no	—
494	D₁₈₈	—	2	2	no	—
495	D₁₈₈	—	4	2	no	—
496	D₁₈₈	—	8	1	no	—
497	C₄×D₄₇	—	8	2	no	—
498	C₄×D₄₇	—	8	2	no	—
499	C₄×D₄₇	—	8	2	no	—
500	Dic₉₄	—	2	2	no	—
501	Dic₉₄	—	2	2	no	—
502	Dic₉₄	—	4	2	no	—
503	Dic₉₄	—	4	2	no	—
504	Dic₉₄	—	4	2	no	—
505	Dic₉₄	—	8	2	no	—
506	Dic₉₄	—	8	2	no	—
507	Dic₉₄	—	8	2	no	—
508	Dic₉₄	—	8	1	no	—
509	C₈×C₄₇	—	2	1	no	—
510	C₈×C₄₇	—	2	1	no	—
511	C₈×C₄₇	—	2	1	no	—
512	C₈×C₄₇	—	2	1	no	—
513	C₄₇⋊C₈	—	2	2	no	—
514	C₄₇⋊C₈	—	2	2	no	—
515	#61863	—	47	1	no	maximal, Sylow
516	C₂²×C₄₇	—	2	1	no	—
517	C₂²×C₄₇	—	2	1	no	—
518	C₂²×C₄₇	—	2	2	no	—
519	C₂²×C₄₇	—	2	2	no	—
520	C₂²×C₄₇	—	2	1	no	—
521	C₂²×C₄₇	—	4	1	no	—
522	C₂²×C₄₇	—	4	1	no	—
523	C₂²×C₄₇	—	4	1	no	—
524	C₂²×C₄₇	—	4	1	no	—
525	C₂²×C₄₇	—	4	1	no	—
526	C₂²×C₄₇	—	4	1	no	—
527	C₂²×C₄₇	—	4	1	no	—
528	C₂²×C₄₇	—	8	4	no	—
529	C₂²×C₄₇	C₂³×D₄	1	1	yes	characteristic
530	C₂×D₄₇	—	4	2	no	—
531	C₂×D₄₇	—	4	2	no	—
532	C₂×D₄₇	—	4	2	no	—
533	C₄×C₄₇	—	2	1	no	—
534	C₄×C₄₇	—	2	1	no	—
535	C₄×C₄₇	—	2	1	no	—
536	C₄×C₄₇	—	2	1	no	—
537	C₄×C₄₇	—	4	1	no	—
538	C₄×C₄₇	—	4	1	no	—
539	C₄×C₄₇	—	4	1	no	—
540	C₄×C₄₇	—	4	1	no	—
541	C₄×C₄₇	—	4	1	no	—
542	C₄×C₄₇	#576	1	2	yes	—
543	C₄×C₄₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
544	C₄×C₄₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
545	Dic₄₇	—	2	2	no	—
546	Dic₄₇	—	2	2	no	—
547	Dic₄₇	—	2	2	no	—
548	Dic₄₇	—	2	2	no	—
549	Dic₄₇	—	4	2	no	—
550	Dic₄₇	—	4	2	no	—
551	Dic₄₇	—	4	2	no	—
552	#3554	—	47	1	no	—
553	#3501	—	47	1	no	—
554	#3389	—	47	2	no	—
555	#3386	—	47	1	no	—
556	#3384	—	47	1	no	—
557	#3381	—	47	1	no	—
558	#3380	—	47	2	no	—
559	Q₈×D₈	—	47	1	no	—
560	#3373	—	47	1	no	—
561	#3370	—	47	2	no	—
562	#3366	—	47	1	no	—
563	#3361	—	47	2	no	—
564	#3361	—	47	1	no	—
565	#3358	—	47	1	no	—
566	#3243	—	47	2	no	—
567	#3241	—	47	2	no	—
568	#3233	—	47	1	no	—
569	#3228	—	47	1	no	—
570	#3122	—	47	2	no	—
571	#3118	—	47	2	no	—
572	#3105	D₄₇	1	1	yes	characteristic, complemented
573	#3100	—	47	1	no	—
574	#2986	—	47	1	no	—
575	C₂×C₄₇	—	4	1	no	—
576	C₂×C₄₇	—	4	2	no	—
577	C₂×C₄₇	—	4	2	no	—
578	C₂×C₄₇	—	8	1	no	—
579	C₂×C₄₇	#3486	1	1	yes	characteristic
580	C₂×C₄₇	C₂×#576	1	1	yes	characteristic
581	C₂×C₄₇	#3584	1	1	yes	characteristic
582	D₄₇	—	8	2	no	—
583	#562	—	94	2	no	—
584	#559	—	47	2	no	—
585	#559	—	47	1	no	—
586	#557	—	47	1	no	—
587	#554	—	47	2	no	—
588	#554	—	47	1	no	—
589	#554	—	47	2	no	—
590	#554	—	47	1	no	—
591	#554	—	47	2	no	—
592	#554	—	94	2	no	—
593	#554	—	94	1	no	—
594	#550	—	47	1	no	—
595	D₄×Q₈	—	47	1	no	—
596	D₄×Q₈	—	47	1	no	—
597	D₄×Q₈	—	47	1	no	—
598	D₄×Q₈	—	94	1	no	—
599	#548	—	94	1	no	—
600	#547	—	94	1	no	—
601	#544	—	47	2	no	—
602	#543	—	94	2	no	—
603	#542	—	47	2	no	—
604	#542	—	94	1	no	—
605	#540	—	47	2	no	—
606	#539	—	94	2	no	—
607	#536	—	94	1	no	—
608	#533	—	47	1	no	—
609	#533	—	47	1	no	—
610	#532	—	47	1	no	—
611	#529	C₂×D₄₇	1	1	yes	characteristic
612	C₂×C₂²⋊Q₈	—	94	1	no	—
613	C₂×C₂²⋊Q₈	—	94	1	no	—
614	#518	—	47	2	no	—
615	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
616	#501	—	47	2	no	—
617	#501	—	47	2	no	—
618	#500	—	47	2	no	—
619	#500	—	47	1	no	—
620	#499	—	47	2	no	—
621	#499	—	47	2	no	—
622	#498	—	47	1	no	—
623	#490	—	47	2	no	—
624	#489	—	47	2	no	—
625	#488	—	47	2	no	—
626	#488	—	47	2	no	—
627	#486	—	47	2	no	—
628	#486	—	47	1	no	—
629	#486	—	47	1	no	—
630	#485	—	47	2	no	—
631	#484	C₂×D₄₇	1	1	yes	characteristic
632	#482	—	47	2	no	—
633	#482	—	47	2	no	—
634	#482	—	47	2	no	—
635	#481	C₂×D₄₇	1	1	yes	characteristic
636	#480	—	47	2	no	—
637	#479	—	47	2	no	—
638	#478	—	47	2	no	—
639	#478	—	47	2	no	—
640	#478	—	47	2	no	—
641	#478	—	47	2	no	—
642	#478	—	47	2	no	—
643	#478	—	47	2	no	—
644	#478	—	47	2	no	—
645	#478	C₂×D₄₇	1	1	yes	characteristic
646	#478	C₂×D₄₇	1	1	yes	characteristic
647	#477	—	47	1	no	—
648	#477	—	47	2	no	—
649	#476	—	47	1	no	—
650	#476	—	47	2	no	—
651	#476	—	47	2	no	—
652	#475	—	47	1	no	—
653	#474	—	47	1	no	—
654	#474	—	47	1	no	—
655	#474	—	47	1	no	—
656	#474	—	47	2	no	—
657	#474	—	47	2	no	—
658	#474	—	47	2	no	—
659	#463	—	47	2	no	—
660	#463	—	47	2	no	—
661	#463	C₂×D₄₇	1	1	yes	characteristic
662	#463	C₂×D₄₇	1	1	yes	characteristic
663	#459	—	47	2	no	—
664	#459	—	47	2	no	—
665	#459	—	47	1	no	—
666	#459	—	47	1	no	—
667	#450	C₂×D₄₇	1	1	yes	characteristic
668	#447	—	47	2	no	—
669	#447	C₂×D₄₇	1	1	yes	characteristic
670	#446	—	47	2	no	—
671	#446	—	47	1	no	—
672	#446	—	47	1	no	—
673	C₈×Q₈	—	47	2	no	—
674	C₈×Q₈	—	47	1	no	—
675	C₈×Q₈	—	47	1	no	—
676	#442	—	47	2	no	—
677	#442	—	47	2	no	—
678	#442	—	47	2	no	—
679	#440	—	47	2	no	—
680	C₄×SD₁₆	—	47	2	no	—
681	C₄×SD₁₆	C₂×D₄₇	1	1	yes	characteristic
682	C₄×SD₁₆	C₂×D₄₇	1	1	yes	characteristic
683	C₄×D₈	—	47	2	no	—
684	C₄×D₈	—	47	2	no	—
685	C₄×D₈	—	47	2	no	—
686	C₄×D₈	—	47	2	no	—
687	C₄×D₈	—	47	2	no	—
688	C₄×D₈	C₂×D₄₇	1	1	yes	characteristic
689	C₄×D₈	C₂×D₄₇	1	1	yes	characteristic
690	#433	—	47	2	no	—
691	#433	—	47	2	no	—
692	#431	—	47	1	no	—
693	#431	C₂×D₄₇	1	1	yes	characteristic
694	C₄₇	#61863	1	1	yes	characteristic, complemented, Sylow
695	C₂×#41	—	94	1	no	—
696	C₂×#41	—	94	1	no	—
697	C₂²×Q₈	—	94	1	no	—
698	C₂²×Q₈	—	94	1	no	—
699	C₂²×Q₈	—	94	1	no	—
700	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
701	C₂³×C₄	—	2	1	no	—
702	C₂×SD₁₆	C₂²×D₄₇	1	1	yes	characteristic
703	C₂×SD₁₆	C₂²×D₄₇	1	1	yes	characteristic
704	C₂×D₈	—	47	2	no	—
705	C₂×D₈	—	47	2	no	—
706	C₂×D₈	C₂²×D₄₇	1	1	yes	characteristic
707	C₂×D₈	C₂²×D₄₇	1	1	yes	characteristic
708	C₄⋊Q₈	—	47	2	no	—
709	C₄⋊Q₈	—	47	2	no	—
710	C₄⋊Q₈	—	47	2	no	—
711	C₄⋊Q₈	—	47	1	no	—
712	C₄⋊Q₈	—	47	1	no	—
713	C₄⋊Q₈	—	47	1	no	—
714	C₄⋊Q₈	—	47	1	no	—
715	C₄⋊Q₈	—	47	1	no	—
716	C₄⋊Q₈	—	94	1	no	—
717	C₄⋊Q₈	—	94	2	no	—
718	#127	—	47	2	no	—
719	#127	—	47	1	no	—
720	#126	—	2	1	no	—
721	#126	—	94	2	no	—
722	#125	—	47	2	no	—
723	#125	—	47	2	no	—
724	#125	—	47	2	no	—
725	#125	—	47	2	no	—
726	#125	—	47	2	no	—
727	#125	—	94	2	no	—
728	#125	—	94	2	no	—
729	#125	C₂²×D₄₇	1	1	yes	characteristic
730	#124	—	47	2	no	—
731	#124	—	94	1	no	—
732	#124	—	94	2	no	—
733	#124	—	94	2	no	—
734	#124	—	94	1	no	—
735	#124	C₂²×D₄₇	1	1	yes	characteristic
736	#123	—	2	1	no	—
737	#123	—	94	2	no	—
738	#123	—	94	2	no	—
739	#123	—	94	2	no	—
740	#123	—	94	2	no	—
741	#123	—	94	2	no	—
742	#123	—	94	2	no	—
743	C₂²⋊Q₈	—	47	1	no	—
744	C₂²⋊Q₈	—	47	1	no	—
745	C₂²⋊Q₈	—	47	2	no	—
746	C₂²⋊Q₈	—	94	2	no	—
747	C₂²⋊Q₈	—	94	2	no	—
748	C₂²⋊Q₈	—	94	2	no	—
749	C₂²⋊Q₈	—	94	2	no	—
750	C₂²⋊Q₈	—	94	2	no	—
751	C₂²⋊Q₈	—	94	2	no	—
752	C₂²⋊Q₈	—	94	2	no	—
753	C₂²⋊Q₈	—	94	2	no	—
754	C₂²⋊Q₈	—	94	2	no	—
755	C₂²⋊Q₈	—	94	2	no	—
756	C₂²⋊Q₈	—	94	2	no	—
757	C₂²⋊Q₈	—	94	2	no	—
758	C₂²⋊Q₈	—	94	2	no	—
759	C₂²⋊Q₈	—	94	2	no	—
760	C₂²⋊Q₈	—	94	2	no	—
761	C₂²⋊Q₈	—	94	1	no	—
762	C₂²⋊Q₈	—	94	1	no	—
763	C₂²⋊Q₈	—	94	2	no	—
764	C₂²⋊Q₈	—	94	2	no	—
765	C₂²⋊Q₈	—	94	1	no	—
766	C₂²⋊Q₈	—	94	1	no	—
767	C₂²⋊Q₈	—	94	1	no	—
768	C₂²⋊Q₈	—	94	1	no	—
769	C₂²⋊Q₈	—	94	1	no	—
770	C₂²⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
771	#121	—	47	2	no	—
772	#121	—	94	2	no	—
773	#121	—	94	2	no	—
774	#121	—	94	2	no	—
775	#121	—	94	1	no	—
776	#121	—	94	1	no	—
777	#121	C₂²×D₄₇	1	1	yes	characteristic
778	C₄×Q₈	—	47	1	no	—
779	C₄×Q₈	—	47	1	no	—
780	C₄×Q₈	—	47	2	no	—
781	C₄×Q₈	—	47	2	no	—
782	C₄×Q₈	—	94	1	no	—
783	C₄×Q₈	—	94	1	no	—
784	C₄×Q₈	—	94	1	no	—
785	C₄×Q₈	C₂²×D₄₇	1	1	yes	characteristic
786	C₄×D₄	—	2	1	no	—
787	C₄×D₄	—	2	1	no	—
788	C₄×D₄	—	2	1	no	—
789	C₄×D₄	—	47	2	no	—
790	C₄×D₄	—	47	2	no	—
791	C₄×D₄	—	47	2	no	—
792	C₄×D₄	—	47	2	no	—
793	C₄×D₄	—	47	2	no	—
794	C₄×D₄	—	47	2	no	—
795	C₄×D₄	—	47	2	no	—
796	C₄×D₄	—	47	2	no	—
797	C₄×D₄	—	94	1	no	—
798	C₄×D₄	—	94	2	no	—
799	C₄×D₄	—	94	2	no	—
800	C₄×D₄	—	94	2	no	—
801	C₄×D₄	—	94	1	no	—
802	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
803	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
804	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
805	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
806	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
807	#117	—	2	1	no	—
808	#117	—	47	2	no	—
809	#117	—	47	2	no	—
810	C₂×C₄⋊C₄	—	94	2	no	—
811	C₂×C₄⋊C₄	—	94	2	no	—
812	C₂×C₄⋊C₄	—	94	2	no	—
813	C₂×C₄⋊C₄	—	94	1	no	—
814	C₂×C₄⋊C₄	—	94	1	no	—
815	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
816	C₂×C₂²⋊C₄	—	2	1	no	—
817	C₂×C₂²⋊C₄	—	94	2	no	—
818	C₂×C₂²⋊C₄	—	94	2	no	—
819	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
820	#107	—	47	2	no	—
821	#107	—	47	2	no	—
822	#107	—	47	2	no	—
823	#107	—	47	2	no	—
824	#107	—	47	2	no	—
825	#107	—	47	2	no	—
826	#107	C₂²×D₄₇	1	1	yes	characteristic
827	#107	C₂²×D₄₇	1	1	yes	characteristic
828	#106	—	47	2	no	—
829	#106	—	47	2	no	—
830	#106	—	47	2	no	—
831	#106	—	47	2	no	—
832	#106	C₂²×D₄₇	1	1	yes	characteristic
833	#106	C₂²×D₄₇	1	1	yes	characteristic
834	C₄⋊C₈	—	47	2	no	—
835	C₄⋊C₈	—	47	2	no	—
836	C₄⋊C₈	—	47	2	no	—
837	C₄⋊C₈	—	47	2	no	—
838	C₄⋊C₈	—	47	1	no	—
839	C₄⋊C₈	—	47	1	no	—
840	C₄⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
841	C₄⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
842	#103	—	47	2	no	—
843	#103	—	47	2	no	—
844	#103	C₂²×D₄₇	1	1	yes	characteristic
845	#103	C₂²×D₄₇	1	1	yes	characteristic
846	#102	—	47	2	no	—
847	#102	—	47	2	no	—
848	#102	—	47	2	no	—
849	#102	—	47	2	no	—
850	#102	—	47	2	no	—
851	#102	—	47	2	no	—
852	#102	—	47	2	no	—
853	#102	—	47	2	no	—
854	#102	—	47	2	no	—
855	#102	—	47	2	no	—
856	#102	C₂²×D₄₇	1	1	yes	characteristic
857	#102	C₂²×D₄₇	1	1	yes	characteristic
858	#102	C₂²×D₄₇	1	1	yes	characteristic
859	#102	C₂²×D₄₇	1	1	yes	characteristic
860	#102	C₂²×D₄₇	1	1	yes	characteristic
861	#102	C₂²×D₄₇	1	1	yes	characteristic
862	C₂²⋊C₈	—	47	2	no	—
863	C₂²⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
864	C₂²⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
865	#97	—	47	2	no	—
866	#97	—	47	2	no	—
867	C₄×C₈	—	47	2	no	—
868	C₄×C₈	—	47	2	no	—
869	C₄×C₈	—	47	2	no	—
870	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
871	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
872	C₂⁴	—	2	1	no	—
873	#41	—	376	2	no	—
874	#41	—	376	2	no	—
875	C₂×Q₈	—	47	1	no	—
876	C₂×Q₈	—	47	1	no	—
877	C₂×Q₈	—	47	2	no	—
878	C₂×Q₈	—	94	2	no	—
879	C₂×Q₈	—	94	2	no	—
880	C₂×Q₈	—	94	2	no	—
881	C₂×Q₈	—	94	1	no	—
882	C₂×Q₈	—	94	1	no	—
883	C₂×Q₈	—	94	1	no	—
884	C₂×Q₈	—	376	2	no	—
885	C₂×Q₈	—	376	2	no	—
886	C₂×Q₈	—	376	2	no	—
887	C₂×Q₈	C₂³×D₄₇	1	1	yes	characteristic
888	C₂×D₄	—	2	2	no	—
889	C₂×D₄	—	2	2	no	—
890	C₂×D₄	—	2	1	no	—
891	C₂×D₄	—	2	1	no	—
892	C₂×D₄	—	47	2	no	—
893	C₂×D₄	—	94	2	no	—
894	C₂×D₄	—	94	2	no	—
895	C₂×D₄	—	94	2	no	—
896	C₂×D₄	—	94	1	no	—
897	C₂×D₄	—	94	1	no	—
898	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
899	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
900	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
901	C₂²×C₄	—	2	1	no	—
902	C₂²×C₄	—	2	1	no	—
903	C₂²×C₄	—	2	1	no	—
904	C₂²×C₄	—	2	1	no	—
905	C₂²×C₄	—	2	1	no	—
906	C₂²×C₄	—	2	1	no	—
907	C₂²×C₄	—	8	2	no	—
908	C₂²×C₄	—	94	2	no	—
909	C₂²×C₄	—	94	2	no	—
910	C₂²×C₄	—	94	2	no	—
911	C₂²×C₄	—	94	2	no	—
912	C₂²×C₄	—	94	2	no	—
913	C₂²×C₄	—	94	2	no	—
914	C₂²×C₄	—	94	2	no	—
915	C₂²×C₄	—	94	2	no	—
916	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
917	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
918	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
919	SD₁₆	—	2	2	no	—
920	SD₁₆	—	2	2	no	—
921	D₈	—	2	2	no	—
922	D₈	—	2	2	no	—
923	D₈	—	94	4	no	—
924	D₈	—	94	4	no	—
925	C₂×C₈	—	47	2	no	—
926	C₂×C₈	—	47	2	no	—
927	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
928	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
929	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
930	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
931	C₄⋊C₄	—	2	1	no	—
932	C₄⋊C₄	—	2	1	no	—
933	C₄⋊C₄	—	2	1	no	—
934	C₄⋊C₄	—	2	1	no	—
935	C₄⋊C₄	—	2	1	no	—
936	C₄⋊C₄	—	47	2	no	—
937	C₄⋊C₄	—	47	2	no	—
938	C₄⋊C₄	—	47	2	no	—
939	C₄⋊C₄	—	47	2	no	—
940	C₄⋊C₄	—	47	1	no	—
941	C₄⋊C₄	—	47	1	no	—
942	C₄⋊C₄	—	47	2	no	—
943	C₄⋊C₄	—	47	2	no	—
944	C₄⋊C₄	—	47	2	no	—
945	C₄⋊C₄	—	47	2	no	—
946	C₄⋊C₄	—	47	2	no	—
947	C₄⋊C₄	—	47	2	no	—
948	C₄⋊C₄	—	94	2	no	—
949	C₄⋊C₄	—	94	2	no	—
950	C₄⋊C₄	—	94	2	no	—
951	C₄⋊C₄	—	94	2	no	—
952	C₄⋊C₄	—	94	2	no	—
953	C₄⋊C₄	—	94	2	no	—
954	C₄⋊C₄	—	94	2	no	—
955	C₄⋊C₄	—	94	2	no	—
956	C₄⋊C₄	—	94	2	no	—
957	C₄⋊C₄	—	94	2	no	—
958	C₄⋊C₄	—	94	2	no	—
959	C₄⋊C₄	—	94	2	no	—
960	C₄⋊C₄	—	94	1	no	—
961	C₄⋊C₄	—	94	1	no	—
962	C₄⋊C₄	—	94	1	no	—
963	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
964	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
965	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
966	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
967	C₂²⋊C₄	—	2	1	no	—
968	C₂²⋊C₄	—	2	1	no	—
969	C₂²⋊C₄	—	2	1	no	—
970	C₂²⋊C₄	—	2	1	no	—
971	C₂²⋊C₄	—	2	1	no	—
972	C₂²⋊C₄	—	2	1	no	—
973	C₂²⋊C₄	—	2	1	no	—
974	C₂²⋊C₄	—	2	1	no	—
975	C₂²⋊C₄	—	2	1	no	—
976	C₂²⋊C₄	—	47	2	no	—
977	C₂²⋊C₄	—	47	2	no	—
978	C₂²⋊C₄	—	94	2	no	—
979	C₂²⋊C₄	—	94	2	no	—
980	C₂²⋊C₄	—	94	2	no	—
981	C₂²⋊C₄	—	94	2	no	—
982	C₂²⋊C₄	—	94	2	no	—
983	C₂²⋊C₄	—	94	2	no	—
984	C₂²⋊C₄	—	94	2	no	—
985	C₂²⋊C₄	—	94	2	no	—
986	C₂²⋊C₄	—	94	2	no	—
987	C₂²⋊C₄	—	94	2	no	—
988	C₂²⋊C₄	—	94	2	no	—
989	C₂²⋊C₄	—	94	2	no	—
990	C₄²	—	2	1	no	—
991	C₄²	—	47	2	no	—
992	C₄²	—	47	2	no	—
993	C₄²	—	94	2	no	—
994	C₄²	—	94	2	no	—
995	C₄²	D₄×D₄₇	1	1	yes	characteristic
996	C₄²	D₄×D₄₇	1	1	yes	characteristic
997	C₄²	C₂³×D₄₇	1	1	yes	characteristic
998	C₄²	C₂³×D₄₇	1	1	yes	characteristic
999	C₂³	—	2	4	no	—
1000	C₂³	—	2	1	no	—
1001	C₂³	—	2	1	no	—
1002	C₂³	—	2	1	no	—
1003	C₂³	—	8	1	no	—
1004	C₂³	—	8	1	no	—
1005	C₂³	—	94	2	no	—
1006	C₂³	C₂×D₄×D₄₇	1	1	yes	characteristic
1007	Q₈	—	2	1	no	—
1008	Q₈	—	2	1	no	—
1009	Q₈	—	94	2	no	—
1010	Q₈	—	94	2	no	—
1011	Q₈	—	376	1	no	—
1012	Q₈	—	376	2	no	—
1013	Q₈	—	376	2	no	—
1014	Q₈	—	376	2	no	—
1015	Q₈	—	188	2	no	—
1016	Q₈	—	188	2	no	—
1017	Q₈	—	188	2	no	—
1018	D₄	—	2	4	no	—
1019	D₄	—	2	1	no	—
1020	D₄	—	2	1	no	—
1021	D₄	—	2	1	no	—
1022	D₄	—	2	1	no	—
1023	D₄	—	8	1	no	—
1024	D₄	—	94	2	no	—
1025	D₄	—	94	2	no	—
1026	D₄	—	376	1	no	—
1027	D₄	—	376	2	no	—
1028	D₄	—	376	2	no	—
1029	D₄	—	376	2	no	—
1030	D₄	—	188	2	no	—
1031	D₄	#13094071	1	2	yes	—
1032	D₄	#13094071	1	2	yes	—
1033	C₂×C₄	—	2	2	no	—
1034	C₂×C₄	—	2	1	no	—
1035	C₂×C₄	—	2	1	no	—
1036	C₂×C₄	—	2	1	no	—
1037	C₂×C₄	—	2	1	no	—
1038	C₂×C₄	—	2	1	no	—
1039	C₂×C₄	—	2	1	no	—
1040	C₂×C₄	—	2	1	no	—
1041	C₂×C₄	—	4	1	no	—
1042	C₂×C₄	—	4	2	no	—
1043	C₂×C₄	—	4	2	no	—
1044	C₂×C₄	—	4	2	no	—
1045	C₂×C₄	—	8	1	no	—
1046	C₂×C₄	—	8	1	no	—
1047	C₂×C₄	—	8	1	no	—
1048	C₂×C₄	—	47	2	no	—
1049	C₂×C₄	—	47	2	no	—
1050	C₂×C₄	—	47	2	no	—
1051	C₂×C₄	—	47	2	no	—
1052	C₂×C₄	—	94	2	no	—
1053	C₂×C₄	—	94	2	no	—
1054	C₂×C₄	—	94	2	no	—
1055	C₂×C₄	—	376	2	no	—
1056	C₂×C₄	—	376	2	no	—
1057	C₂×C₄	—	376	2	no	—
1058	C₂×C₄	—	376	2	no	—
1059	C₂×C₄	—	376	2	no	—
1060	C₂×C₄	—	376	2	no	—
1061	C₂×C₄	—	376	2	no	—
1062	C₂×C₄	—	376	2	no	—
1063	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1064	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1065	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1066	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1067	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1068	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1069	C₈	—	2	1	no	—
1070	C₈	—	2	1	no	—
1071	C₈	—	2	1	no	—
1072	C₈	—	2	1	no	—
1073	C₈	—	94	2	no	—
1074	C₈	—	94	2	no	—
1075	C₂²	—	2	1	no	—
1076	C₂²	—	2	2	no	—
1077	C₂²	—	2	2	no	—
1078	C₂²	—	2	1	no	—
1079	C₂²	—	2	1	no	—
1080	C₂²	—	4	1	no	—
1081	C₂²	—	4	1	no	—
1082	C₂²	—	4	1	no	—
1083	C₂²	—	4	1	no	—
1084	C₂²	—	4	1	no	—
1085	C₂²	—	4	1	no	—
1086	C₂²	—	4	1	no	—
1087	C₂²	—	8	4	no	—
1088	C₂²	—	188	2	no	—
1089	C₂²	—	188	2	no	—
1090	C₂²	—	188	2	no	—
1091	C₂²	C₂²×D₄×D₄₇	1	1	yes	characteristic
1092	C₄	—	2	1	no	—
1093	C₄	—	2	1	no	—
1094	C₄	—	2	1	no	—
1095	C₄	—	2	1	no	—
1096	C₄	—	4	1	no	—
1097	C₄	—	4	1	no	—
1098	C₄	—	4	1	no	—
1099	C₄	—	4	1	no	—
1100	C₄	—	4	1	no	—
1101	C₄	—	94	2	no	—
1102	C₄	—	94	2	no	—
1103	C₄	—	94	2	no	—
1104	C₄	—	94	2	no	—
1105	C₄	—	188	2	no	—
1106	C₄	—	188	2	no	—
1107	C₄	—	188	2	no	—
1108	C₄	#15689927	1	2	yes	—
1109	C₄	C₂×#13094071	1	1	yes	characteristic
1110	C₄	C₂×#13094071	1	1	yes	characteristic
1111	C₂	—	4	1	no	—
1112	C₂	—	4	2	no	—
1113	C₂	—	4	2	no	—
1114	C₂	—	8	1	no	—
1115	C₂	—	376	2	no	—
1116	C₂	#20257035	1	1	yes	characteristic
1117	C₂	C₂×#15689927	1	1	yes	characteristic
1118	C₂	#20258157	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₄₇
commutator, cosocle	C₂×C₄×C₄₇	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₇
Fitting	C₄₇×#3105	C₂
socle	C₂²×C₄₇	C₂³×D₄
hypercenter	#3105	D₄₇
hypocenter	C₄₇	#61863
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3105

Complements

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

N	H ≅ G/N	type
1. #20257861	C₂	semidirect
2. #20257191	C₂	semidirect
3. #20256346	C₂	semidirect
4. #20256307	C₂	semidirect
5. #20256285	C₂	semidirect
6. #20256261	C₂	semidirect
7. #20256250	C₂	semidirect
8. D₈×Dic₉₄	C₂	semidirect
9. #20256178	C₂	semidirect
10. #20256145	C₂	semidirect
11. #20256093	C₂	semidirect
12. #20256046	C₂	semidirect
13. #20256043	C₂	semidirect
14. #20256021	C₂	semidirect
15. #20254675	C₂	semidirect
16. #20254645	C₂	semidirect
17. #20254563	C₂	semidirect
18. #20254526	C₂	semidirect
19. #20253625	C₂	semidirect
20. #20253573	C₂	semidirect
21. #20253388	C₂	semidirect
22. #20252489	C₂	semidirect
23. C₄₇×#3105	C₂	semidirect
25. #15689858	C₂²	semidirect
26. #15689855	C₂²	semidirect
27. #15689852	C₂²	semidirect
34. #15689829	C₂²	semidirect
35. #15689794	C₂²	semidirect
39. D₄×Dic₉₄	C₂²	semidirect
55. #15689531	C₂²	semidirect
56. #15689530	C₂²	semidirect
57. #15689528	C₂²	semidirect
58. #15689527	C₂²	semidirect
59. #15689523	C₂²	semidirect
60. #15689522	C₂²	semidirect
61. #15689521	C₂²	semidirect
62. #15689486	C₂²	semidirect
63. #15689484	C₂²	semidirect
64. #15689479	C₂²	semidirect
65. #15689477	C₂²	semidirect
66. #15689470	C₂²	semidirect
67. #15689470	C₂²	semidirect
68. #15689468	C₂²	semidirect
74. #15689428	C₂²	semidirect
75. #15689426	C₂²	semidirect
77. #15689425	C₂²	semidirect
78. #15689424	C₂²	semidirect
79. #15689424	C₂²	semidirect
80. #15689422	C₂²	semidirect
82. #15689418	C₂²	semidirect
83. #15689416	C₂²	semidirect
84. #15689413	C₂²	semidirect
85. #15689412	C₂²	semidirect
87. #15689408	C₂²	semidirect
90. #15689403	C₂²	semidirect
91. #15689402	C₂²	semidirect
93. #15689401	C₂²	semidirect
101. #15689253	C₂²	semidirect
102. #15689253	C₂²	semidirect
103. #15689250	C₂²	semidirect
104. C₈×Dic₉₄	C₂²	semidirect
105. C₈×Dic₉₄	C₂²	semidirect
106. #15689247	C₂²	semidirect
572. #3105	D₄₇	semidirect
694. C₄₇	#61863	semidirect

Maximal subgroups

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

subgroup	index
#20257861	2
#20257191	2
#20256346	2
#20256307	2
#20256285	2
#20256261	2
#20256250	2
D₈×Dic₉₄	2
#20256178	2
#20256145	2
#20256093	2
#20256046	2
#20256043	2
#20256021	2
#20254675	2
#20254645	2
#20254563	2
#20254526	2
#20253625	2
#20253573	2
#20253388	2
#20252489	2
C₄₇×#3105	2
#61863	47