Subgroups — #27081150

Order 12032.

2090 conjugacy classes of subgroups.

The subgroup lattice has 1278 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20256717	C₂	1	1	yes	maximal, characteristic
2	#20252448	C₂	1	2	yes	maximal, complemented
3	#20252446	C₂	1	2	yes	maximal, complemented
4	#20252442	C₂	1	2	yes	maximal, complemented
5	#20252440	C₂	1	2	yes	maximal, complemented
6	#20252438	C₂	1	2	yes	maximal, complemented
7	#20252433	C₂	1	2	yes	maximal, complemented
8	#20252431	C₂	1	2	yes	maximal, complemented
9	#20252431	C₂	1	2	yes	maximal, complemented
10	#20252130	C₂	1	1	yes	maximal, characteristic, complemented
11	#20252130	C₂	1	1	yes	maximal, characteristic, complemented
12	#20252128	C₂	1	1	yes	maximal, characteristic, complemented
13	#20252128	C₂	1	1	yes	maximal, characteristic, complemented
14	#20252104	C₂	1	1	yes	maximal, characteristic, complemented
15	#20252103	C₂	1	1	yes	maximal, characteristic, complemented
16	#20252098	C₂	1	1	yes	maximal, characteristic, complemented
17	#20252096	C₂	1	1	yes	maximal, characteristic, complemented
18	#20252023	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#15689181	C₂	1	1	yes	maximal, characteristic, complemented
20	#20251838	C₂	1	1	yes	maximal, characteristic, complemented
21	#20251837	C₂	1	1	yes	maximal, characteristic, complemented
22	#20251834	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₇×#2880	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#10625350	C₂²	1	1	yes	characteristic
25	C₂×#13094032	C₂²	1	1	yes	characteristic, complemented
26	C₂×#13094032	C₂²	1	1	yes	characteristic, complemented
27	C₂×#13094031	C₂²	1	1	yes	characteristic, complemented
28	C₂×#13094031	C₂²	1	1	yes	characteristic, complemented
29	C₂×#13094030	C₂²	1	1	yes	characteristic, complemented
30	C₂×#13094030	C₂²	1	1	yes	characteristic, complemented
31	#15689701	C₄	1	2	yes	—
32	#15689701	C₄	1	2	yes	—
33	#15689697	C₄	1	1	yes	characteristic
34	#15689697	C₄	1	1	yes	characteristic
35	#15689694	C₄	1	1	yes	characteristic
36	#15689694	C₄	1	1	yes	characteristic
37	#15689690	C₄	1	1	yes	characteristic
38	#15689690	C₄	1	1	yes	characteristic
39	#15689687	C₄	1	1	yes	characteristic
40	#15689687	C₄	1	1	yes	characteristic
41	#15689682	C₄	1	2	yes	—
42	#15689682	C₄	1	2	yes	—
43	#15689669	C₂²	1	1	yes	characteristic
44	#15689669	C₂²	1	1	yes	characteristic
45	#15689669	C₂²	1	1	yes	characteristic
46	#15689669	C₂²	1	1	yes	characteristic
47	#15689634	C₂²	1	2	yes	—
48	#15689634	C₂²	1	2	yes	—
49	#15689630	C₂²	1	2	yes	—
50	#15689630	C₂²	1	2	yes	—
51	C₂×#13093983	C₂²	1	1	yes	characteristic
52	#15689199	C₂²	1	2	yes	complemented
53	#15689199	C₂²	1	2	yes	complemented
54	#15689199	C₂²	1	2	yes	complemented
55	#15689199	C₂²	1	2	yes	complemented
56	#15689198	C₂²	1	2	yes	complemented
57	#15689198	C₂²	1	2	yes	complemented
58	#15689198	C₂²	1	2	yes	complemented
59	#15689198	C₂²	1	2	yes	complemented
60	#15689197	C₂²	1	2	yes	complemented
61	#15689197	C₂²	1	2	yes	complemented
62	#15689197	C₂²	1	2	yes	complemented
63	#15689197	C₂²	1	2	yes	complemented
64	#15689194	C₂²	1	2	yes	complemented
65	#15689194	C₂²	1	2	yes	complemented
66	#15689194	C₂²	1	2	yes	complemented
67	#15689194	C₂²	1	2	yes	complemented
68	#15689192	C₂²	1	2	yes	complemented
69	#15689192	C₂²	1	2	yes	complemented
70	#15689192	C₂²	1	2	yes	complemented
71	#15689192	C₂²	1	2	yes	complemented
72	#15689191	C₂²	1	2	yes	complemented
73	#15689191	C₂²	1	2	yes	complemented
74	#15689191	C₂²	1	2	yes	complemented
75	#15689191	C₂²	1	2	yes	complemented
76	C₈×C₂²⋊D₄₇	C₂²	1	2	yes	complemented
77	C₈×C₂²⋊D₄₇	C₂²	1	2	yes	complemented
78	C₈×C₂²⋊D₄₇	C₂²	1	2	yes	complemented
79	C₈×C₂²⋊D₄₇	C₂²	1	2	yes	complemented
80	(C₂²⋊D₄₇)⋊C₈	C₂²	1	2	yes	complemented
81	(C₂²⋊D₄₇)⋊C₈	C₂²	1	2	yes	complemented
82	(C₂²⋊D₄₇)⋊C₈	C₂²	1	2	yes	complemented
83	(C₂²⋊D₄₇)⋊C₈	C₂²	1	2	yes	complemented
84	#15689181	C₂²	1	1	yes	characteristic, complemented
85	#15689181	C₂²	1	1	yes	characteristic, complemented
86	#15689181	C₂²	1	2	yes	complemented
87	#15689181	C₂²	1	1	yes	characteristic, complemented
88	#15689181	C₂²	1	2	yes	complemented
89	#15689181	C₂²	1	1	yes	characteristic, complemented
90	#15689181	C₂²	1	1	yes	characteristic, complemented
91	#15689181	C₂²	1	2	yes	complemented
92	#15689181	C₂²	1	1	yes	characteristic, complemented
93	#15689181	C₂²	1	2	yes	complemented
94	#15689181	C₂²	1	1	yes	characteristic, complemented
95	#15689181	C₂²	1	1	yes	characteristic, complemented
96	#15689146	C₂²	1	1	yes	characteristic, complemented
97	#15689146	C₂²	1	1	yes	characteristic, complemented
98	C₂×Dic₄₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
99	C₂×Dic₄₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
100	#15689091	C₂²	1	1	yes	characteristic, complemented
101	#15689091	C₂²	1	1	yes	characteristic, complemented
102	#15689090	C₂²	1	2	yes	—
103	#15689090	C₂²	1	2	yes	—
104	#15689090	C₂²	1	1	yes	characteristic, complemented
105	#15689090	C₂²	1	1	yes	characteristic, complemented
106	#15689089	C₂²	1	1	yes	characteristic, complemented
107	#15689089	C₂²	1	1	yes	characteristic, complemented
108	#15689088	C₂²	1	2	yes	—
109	#15689088	C₂²	1	2	yes	—
110	#15689088	C₂²	1	2	yes	—
111	#15689088	C₂²	1	2	yes	—
112	#15689087	C₂²	1	1	yes	characteristic
113	#15689087	C₂²	1	2	yes	complemented
114	#15689085	C₂²	1	2	yes	complemented
115	#15689085	C₂²	1	2	yes	complemented
116	C₂×C₂²⋊(C₄₇⋊C₈)	C₂²	1	1	yes	characteristic
117	C₂×C₂²⋊(C₄₇⋊C₈)	C₂²	1	2	yes	complemented
118	C₂²⋊C₈×D₄₇	C₂²	1	2	yes	complemented
119	C₂²⋊C₈×D₄₇	C₂²	1	2	yes	complemented
120	M₁₆×Dic₄₇	C₂²	1	1	yes	characteristic, complemented
121	M₁₆×Dic₄₇	C₂²	1	1	yes	characteristic, complemented
122	C₂×#13093934	C₂²	1	1	yes	characteristic, complemented
123	C₂×C₈×Dic₄₇	C₂²	1	1	yes	characteristic, complemented
124	C₂²×#41×C₄₇	C₂²	1	1	yes	characteristic
125	C₂×#131×C₄₇	C₂²	1	1	yes	characteristic, complemented
126	C₂×#131×C₄₇	C₂²	1	1	yes	characteristic, complemented
127	C₄₇×#408	C₂²	1	2	yes	—
128	C₄₇×#408	C₂²	1	2	yes	—
129	C₄₇×#408	C₂²	1	1	yes	characteristic, complemented
130	C₄₇×#408	C₂²	1	1	yes	characteristic, complemented
131	C₄₇×#407	C₂²	1	1	yes	characteristic
132	C₄₇×#407	C₂²	1	2	yes	complemented
133	C₂×C₂²⋊C₈×C₄₇	C₂²	1	1	yes	characteristic
134	C₂×C₂²⋊C₈×C₄₇	C₂²	1	2	yes	complemented
135	C₂×#10625350	—	4	2	no	—
136	C₂×#10625350	—	4	2	no	—
137	C₂×#10625350	C₂×C₄	1	1	yes	characteristic
138	C₂×#10625350	C₂×C₄	1	1	yes	characteristic
139	C₂×#10625350	C₂×C₄	1	2	yes	—
140	C₂×#10625350	C₂³	1	1	yes	characteristic
141	C₂×#10625350	C₂³	1	1	yes	characteristic
142	C₂×#10625350	C₂³	1	2	yes	—
143	C₂²×Dic₉₄	C₂×C₄	1	1	yes	characteristic
144	C₂²×D₁₈₈	C₂×C₄	1	1	yes	characteristic
145	C₂²×C₂²⋊D₄₇	C₂×C₄	1	2	yes	—
146	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
147	#13094032	—	4	2	no	—
148	#13094032	—	4	2	no	—
149	#13094031	—	4	2	no	—
150	#13094031	—	4	2	no	—
151	#13094030	—	4	2	no	—
152	#13094030	—	4	2	no	—
153	C₂×#10625329	C₂³	1	1	yes	characteristic
154	C₂×#10625329	C₂³	1	1	yes	characteristic
155	C₂×#10625329	C₂³	1	2	yes	—
156	C₂×#10625329	C₂³	1	2	yes	—
157	C₂×#10625324	C₂³	1	2	yes	—
158	C₂×#10625324	C₂³	1	2	yes	—
159	C₂×#10625324	C₂³	1	2	yes	—
160	C₂×#10625324	C₂³	1	2	yes	—
161	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
162	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
163	C₂²×C₄₇⋊C₈	C₂³	1	2	yes	—
164	C₂²×C₄₇⋊C₈	C₂³	1	2	yes	—
165	C₂×C₈×D₄₇	C₂³	1	2	yes	—
166	C₂×C₈×D₄₇	C₂³	1	2	yes	—
167	C₂×C₈×D₄₇	C₂³	1	2	yes	—
168	C₂×C₈×D₄₇	C₂³	1	2	yes	—
169	#13094022	C₂×C₄	1	1	yes	characteristic
170	#13094022	C₂×C₄	1	1	yes	characteristic
171	#13094022	C₂×C₄	1	1	yes	characteristic
172	#13094022	C₂×C₄	1	1	yes	characteristic
173	#13094020	C₂×C₄	1	1	yes	characteristic
174	#13094020	C₂×C₄	1	1	yes	characteristic
175	#13094020	C₂×C₄	1	1	yes	characteristic
176	#13094020	C₂×C₄	1	1	yes	characteristic
177	#13094013	C₂×C₄	1	1	yes	characteristic
178	#13094013	C₂×C₄	1	1	yes	characteristic
179	#13094013	C₂×C₄	1	1	yes	characteristic
180	#13094013	C₂×C₄	1	1	yes	characteristic
181	#13094011	C₂×C₄	1	1	yes	characteristic
182	#13094011	C₂×C₄	1	1	yes	characteristic
183	#13094011	C₂×C₄	1	1	yes	characteristic
184	#13094011	C₂×C₄	1	1	yes	characteristic
185	#13094007	C₂×C₄	1	2	yes	—
186	#13094007	C₂×C₄	1	2	yes	—
187	#13094007	C₂×C₄	1	2	yes	—
188	#13094007	C₂×C₄	1	2	yes	—
189	#13094005	C₂×C₄	1	2	yes	—
190	#13094005	C₂×C₄	1	2	yes	—
191	#13094005	C₂×C₄	1	2	yes	—
192	#13094005	C₂×C₄	1	2	yes	—
193	#13094003	C₂×C₄	1	2	yes	—
194	#13094003	C₂×C₄	1	2	yes	—
195	#13094003	C₂×C₄	1	2	yes	—
196	#13094003	C₂×C₄	1	2	yes	—
197	#13094000	C₂×C₄	1	2	yes	—
198	#13094000	C₂×C₄	1	2	yes	—
199	#13094000	C₂×C₄	1	2	yes	—
200	#13094000	C₂×C₄	1	2	yes	—
201	#13093998	C₂×C₄	1	2	yes	—
202	#13093998	C₂×C₄	1	2	yes	—
203	#13093998	C₂×C₄	1	2	yes	—
204	#13093998	C₂×C₄	1	2	yes	—
205	#13093996	C₂×C₄	1	2	yes	—
206	#13093996	C₂×C₄	1	2	yes	—
207	#13093996	C₂×C₄	1	2	yes	—
208	#13093996	C₂×C₄	1	2	yes	—
209	#13093996	C₂×C₄	1	2	yes	—
210	#13093996	C₂×C₄	1	2	yes	—
211	#13093996	C₂×C₄	1	2	yes	—
212	#13093996	C₂×C₄	1	2	yes	—
213	#13093995	C₂×C₄	1	2	yes	—
214	#13093995	C₂×C₄	1	2	yes	—
215	#13093995	C₂×C₄	1	2	yes	—
216	#13093995	C₂×C₄	1	2	yes	—
217	#13093993	C₂×C₄	1	2	yes	—
218	#13093993	C₂×C₄	1	2	yes	—
219	#13093993	C₂×C₄	1	2	yes	—
220	#13093993	C₂×C₄	1	2	yes	—
221	#13093992	C₂×C₄	1	2	yes	—
222	#13093992	C₂×C₄	1	2	yes	—
223	#13093992	C₂×C₄	1	2	yes	—
224	#13093992	C₂×C₄	1	2	yes	—
225	C₄×C₂²⋊D₄₇	C₂³	1	2	yes	—
226	C₄×C₂²⋊D₄₇	C₂³	1	2	yes	—
227	C₄×C₂²⋊D₄₇	C₂³	1	2	yes	—
228	C₄×C₂²⋊D₄₇	C₂³	1	2	yes	—
229	C₄×C₂²⋊D₄₇	C₂³	1	2	yes	—
230	C₄×C₂²⋊D₄₇	C₂³	1	2	yes	—
231	C₄×C₂²⋊D₄₇	C₂³	1	2	yes	—
232	C₄×C₂²⋊D₄₇	C₂³	1	2	yes	—
233	#13093983	C₂×C₄	1	1	yes	characteristic
234	#13093983	C₂×C₄	1	1	yes	characteristic
235	#13093983	C₂×C₄	1	1	yes	characteristic
236	#13093983	C₂×C₄	1	1	yes	characteristic
237	#13093983	C₂³	1	1	yes	characteristic
238	#13093983	C₂³	1	1	yes	characteristic
239	#13093983	C₂³	1	1	yes	characteristic
240	#13093983	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊Dic₄₇	C₂×C₄	1	1	yes	characteristic
242	C₂×C₄⋊Dic₄₇	C₂×C₄	1	1	yes	characteristic
243	C₂×C₂²⋊Dic₄₇	C₂×C₄	1	1	yes	characteristic
244	C₂×C₂²⋊Dic₄₇	C₂×C₄	1	1	yes	characteristic
245	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
246	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
247	Dic₄₇⋊C₈	C₂³	1	1	yes	characteristic
248	Dic₄₇⋊C₈	C₂³	1	1	yes	characteristic
249	Dic₄₇⋊C₈	C₂³	1	1	yes	characteristic
250	Dic₄₇⋊C₈	C₂³	1	1	yes	characteristic
251	Dic₄₇⋊C₈	C₂³	1	1	yes	characteristic
252	Dic₄₇⋊C₈	C₂³	1	1	yes	characteristic
253	Dic₄₇⋊C₈	C₂³	1	1	yes	characteristic
254	Dic₄₇⋊C₈	C₂³	1	1	yes	characteristic
255	Dic₄₇⋊C₈	C₂³	1	2	yes	—
256	Dic₄₇⋊C₈	C₂³	1	2	yes	—
257	Dic₄₇⋊C₈	C₂³	1	2	yes	—
258	Dic₄₇⋊C₈	C₂³	1	2	yes	—
259	C₂²⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
260	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
261	C₂²⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
262	C₂²⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
263	C₂²⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
264	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
265	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
266	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
267	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
268	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
269	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
270	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
271	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
272	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
273	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
274	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
275	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
276	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
277	#13093934	C₂³	1	1	yes	characteristic
278	#13093934	C₂³	1	1	yes	characteristic
279	#13093934	C₂³	1	1	yes	characteristic
280	#13093934	C₂³	1	1	yes	characteristic
281	#13093934	C₂³	1	2	yes	—
282	#13093934	C₂³	1	2	yes	—
283	C₈×Dic₄₇	C₂³	1	1	yes	characteristic
284	C₈×Dic₄₇	C₂³	1	1	yes	characteristic
285	C₈×Dic₄₇	C₂³	1	1	yes	characteristic
286	C₈×Dic₄₇	C₂³	1	1	yes	characteristic
287	C₈×Dic₄₇	C₂³	1	2	yes	—
288	C₈×Dic₄₇	C₂³	1	2	yes	—
289	C₂×#41×C₄₇	—	4	2	no	—
290	C₂×#41×C₄₇	—	4	2	no	—
291	C₂×#41×C₄₇	C₂×C₄	1	1	yes	characteristic
292	C₂×#41×C₄₇	C₂×C₄	1	1	yes	characteristic
293	C₂×#41×C₄₇	C₂×C₄	1	2	yes	—
294	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
295	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
296	C₂×#41×C₄₇	C₂³	1	2	yes	—
297	C₂²×Q₈×C₄₇	C₂×C₄	1	1	yes	characteristic
298	C₂²×D₄×C₄₇	C₂×C₄	1	2	yes	—
299	C₂²×D₄×C₄₇	C₂×C₄	1	1	yes	characteristic
300	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
301	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
302	#131×C₄₇	—	4	2	no	—
303	#131×C₄₇	—	4	2	no	—
304	C₂×M₁₆×C₄₇	C₂³	1	1	yes	characteristic
305	C₂×M₁₆×C₄₇	C₂³	1	1	yes	characteristic
306	C₂×M₁₆×C₄₇	C₂³	1	2	yes	—
307	C₂×M₁₆×C₄₇	C₂³	1	2	yes	—
308	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
309	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
310	C₂²×C₈×C₄₇	C₂³	1	2	yes	—
311	C₂²×C₈×C₄₇	C₂³	1	2	yes	—
312	C₂²⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
313	C₂²⋊C₈×C₄₇	C₂³	1	2	yes	—
314	C₂²⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
315	C₂²⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
316	C₂²⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
317	C₂²⋊C₈×C₄₇	C₂³	1	2	yes	—
318	C₂²⋊C₈×C₄₇	C₂³	1	2	yes	—
319	C₂²⋊C₈×C₄₇	C₂³	1	2	yes	—
320	C₂²⋊C₈×C₄₇	C₂³	1	2	yes	—
321	C₂²⋊C₈×C₄₇	C₂³	1	2	yes	—
322	C₂⁴×C₄₇	C₂²×C₄	1	1	yes	characteristic
323	C₂⁴×C₄₇	C₂²×C₄	1	2	yes	—
324	C₂³×D₄₇	C₂²×C₄	1	2	yes	—
325	#41×C₄₇	—	2	2	no	—
326	#41×C₄₇	—	2	2	no	—
327	#41×C₄₇	—	2	2	no	—
328	#41×C₄₇	—	2	2	no	—
329	#41×C₄₇	—	4	2	no	—
330	#41×C₄₇	—	4	2	no	—
331	#41×C₄₇	—	4	4	no	—
332	#41×C₄₇	—	4	2	no	—
333	#41×C₄₇	—	4	2	no	—
334	C₂×Q₈×C₄₇	—	4	2	no	—
335	C₂×Q₈×C₄₇	C₂²×C₄	1	1	yes	characteristic
336	C₂×Q₈×C₄₇	C₂²×C₄	1	1	yes	characteristic
337	C₂×Q₈×C₄₇	C₂²×C₄	1	2	yes	—
338	C₂×D₄×C₄₇	—	4	2	no	—
339	C₂×D₄×C₄₇	—	4	4	no	—
340	C₂×D₄×C₄₇	C₂²×C₄	1	2	yes	—
341	C₂×D₄×C₄₇	C₂²×C₄	1	2	yes	—
342	C₂×D₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
343	C₂×D₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
344	C₂×D₄×C₄₇	C₂²×C₄	1	2	yes	—
345	C₂×D₄×C₄₇	C₂²×C₄	1	2	yes	—
346	C₂×D₄×C₄₇	C₂²×C₄	1	2	yes	—
347	C₂²×C₄×C₄₇	—	2	2	no	—
348	C₂²×C₄×C₄₇	—	2	2	no	—
349	C₂²×C₄×C₄₇	—	4	2	no	—
350	C₂²×C₄×C₄₇	—	4	2	no	—
351	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
352	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
353	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
354	C₂²×C₄×C₄₇	C₂²×C₄	1	2	yes	—
355	C₂²×C₄×C₄₇	C₂²×C₄	1	2	yes	—
356	C₂²×C₄×C₄₇	C₂²×C₄	1	2	yes	—
357	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
358	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
359	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
360	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
361	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
362	C₂×C₂²⋊D₄₇	—	4	4	no	—
363	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
364	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
365	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
366	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
367	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
368	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
369	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
370	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
371	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
372	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
373	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
374	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
375	C₂²×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
376	C₂²×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
377	C₂²×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
378	C₂²×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
379	C₂²×Dic₄₇	C₂²×C₄	1	2	yes	—
380	#10625350	—	2	2	no	—
381	#10625350	—	2	2	no	—
382	#10625350	—	2	2	no	—
383	#10625350	—	2	2	no	—
384	#10625350	—	4	2	no	—
385	#10625350	—	4	2	no	—
386	#10625350	—	4	2	no	—
387	#10625350	—	4	2	no	—
388	#10625350	—	4	4	no	—
389	C₂×D₁₈₈	—	4	2	no	—
390	C₂×D₁₈₈	C₂²×C₄	1	1	yes	characteristic
391	C₂×D₁₈₈	C₂²×C₄	1	1	yes	characteristic
392	C₂×D₁₈₈	C₂²×C₄	1	2	yes	—
393	C₂×C₄×D₄₇	—	4	2	no	—
394	C₂×C₄×D₄₇	—	4	2	no	—
395	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
396	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
397	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
398	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
399	C₂×Dic₉₄	—	4	2	no	—
400	C₂×Dic₉₄	C₂²×C₄	1	1	yes	characteristic
401	C₂×Dic₉₄	C₂²×C₄	1	1	yes	characteristic
402	C₂×Dic₉₄	C₂²×C₄	1	2	yes	—
403	M₁₆×C₄₇	—	2	2	no	—
404	M₁₆×C₄₇	—	2	2	no	—
405	M₁₆×C₄₇	—	4	2	no	—
406	M₁₆×C₄₇	—	4	2	no	—
407	C₂×C₈×C₄₇	—	2	2	no	—
408	C₂×C₈×C₄₇	—	2	2	no	—
409	C₂×C₈×C₄₇	—	4	2	no	—
410	C₂×C₈×C₄₇	—	4	2	no	—
411	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
412	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
413	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
414	C₂×C₈×C₄₇	C₂⁴	1	2	yes	—
415	C₂×C₈×C₄₇	C₂⁴	1	2	yes	—
416	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
417	C₂²⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
418	C₂²⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
419	C₂²⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
420	C₂²⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
421	C₂²⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
422	C₂²⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
423	C₂²⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
424	C₂²⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
425	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
426	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
427	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
428	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
429	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
430	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
431	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
432	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
433	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
434	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
435	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
436	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
437	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
438	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
439	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
440	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
441	C₄⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
442	C₄⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
443	C₄⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
444	C₄⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
445	C₄⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
446	C₄⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
447	C₄⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
448	C₄⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
449	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
450	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
451	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
452	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
453	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
454	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
455	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
456	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
457	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
458	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
459	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
460	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
461	C₄×Dic₄₇	C₂⁴	1	1	yes	characteristic
462	C₄×Dic₄₇	C₂⁴	1	1	yes	characteristic
463	C₄×Dic₄₇	C₂⁴	1	1	yes	characteristic
464	C₄×Dic₄₇	C₂⁴	1	1	yes	characteristic
465	#10625329	—	2	2	no	—
466	#10625329	—	2	2	no	—
467	#10625329	—	4	2	no	—
468	#10625329	—	4	2	no	—
469	C₂×C₄₇⋊C₈	—	2	2	no	—
470	C₂×C₄₇⋊C₈	—	2	2	no	—
471	C₂×C₄₇⋊C₈	—	4	2	no	—
472	C₂×C₄₇⋊C₈	—	4	2	no	—
473	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
474	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
475	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
476	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
477	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
478	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
479	#10625324	—	4	2	no	—
480	#10625324	—	4	2	no	—
481	#10625324	—	4	2	no	—
482	#10625324	—	4	2	no	—
483	C₈×D₄₇	—	4	2	no	—
484	C₈×D₄₇	—	4	2	no	—
485	C₈×D₄₇	—	4	2	no	—
486	C₈×D₄₇	—	4	2	no	—
487	C₂³×C₄₇	—	2	2	no	—
488	C₂³×C₄₇	—	4	2	no	—
489	C₂³×C₄₇	—	4	1	no	—
490	C₂³×C₄₇	—	4	1	no	—
491	C₂³×C₄₇	—	4	2	no	—
492	C₂³×C₄₇	—	4	2	no	—
493	C₂³×C₄₇	C₂³×C₄	1	1	yes	characteristic
494	C₂³×C₄₇	C₂³×C₄	1	1	yes	characteristic
495	C₂³×C₄₇	C₂³×C₄	1	2	yes	—
496	C₂³×C₄₇	C₂³×C₄	1	2	yes	—
497	C₂³×C₄₇	C₂³×C₄	1	1	yes	characteristic
498	C₂²×D₄₇	—	4	2	no	—
499	C₂²×D₄₇	—	4	2	no	—
500	C₂²×D₄₇	—	4	2	no	—
501	C₂²×D₄₇	C₂³×C₄	1	2	yes	—
502	C₂²×D₄₇	C₂³×C₄	1	2	yes	—
503	Q₈×C₄₇	—	2	2	no	—
504	Q₈×C₄₇	—	2	2	no	—
505	Q₈×C₄₇	—	4	2	no	—
506	D₄×C₄₇	—	2	4	no	—
507	D₄×C₄₇	—	2	4	no	—
508	D₄×C₄₇	—	2	2	no	—
509	D₄×C₄₇	—	2	2	no	—
510	D₄×C₄₇	—	4	2	no	—
511	D₄×C₄₇	—	4	2	no	—
512	D₄×C₄₇	—	4	2	no	—
513	C₂×C₄×C₄₇	—	2	2	no	—
514	C₂×C₄×C₄₇	—	2	2	no	—
515	C₂×C₄×C₄₇	—	2	2	no	—
516	C₂×C₄×C₄₇	—	2	2	no	—
517	C₂×C₄×C₄₇	—	2	2	no	—
518	C₂×C₄×C₄₇	—	2	2	no	—
519	C₂×C₄×C₄₇	—	2	2	no	—
520	C₂×C₄×C₄₇	—	2	1	no	—
521	C₂×C₄×C₄₇	—	2	1	no	—
522	C₂×C₄×C₄₇	—	2	1	no	—
523	C₂×C₄×C₄₇	—	2	1	no	—
524	C₂×C₄×C₄₇	—	4	2	no	—
525	C₂×C₄×C₄₇	—	4	2	no	—
526	C₂×C₄×C₄₇	—	4	2	no	—
527	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
528	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
529	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
530	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
531	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
532	C₂×C₄×C₄₇	H(5,𝔽₂)	1	2	yes	—
533	C₂×C₄×C₄₇	H(5,𝔽₂)	1	2	yes	—
534	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
535	C₂²⋊D₄₇	—	2	4	no	—
536	C₂²⋊D₄₇	—	2	4	no	—
537	C₂²⋊D₄₇	—	4	2	no	—
538	C₂²⋊D₄₇	—	4	2	no	—
539	C₂²⋊D₄₇	—	4	2	no	—
540	C₂²⋊D₄₇	—	4	2	no	—
541	C₂²⋊D₄₇	—	4	2	no	—
542	C₂²⋊D₄₇	—	4	2	no	—
543	C₂²⋊D₄₇	—	4	2	no	—
544	C₂²⋊D₄₇	—	4	2	no	—
545	C₂²⋊D₄₇	—	4	2	no	—
546	C₂²⋊D₄₇	—	4	2	no	—
547	C₂×Dic₄₇	—	4	2	no	—
548	C₂×Dic₄₇	—	4	1	no	—
549	C₂×Dic₄₇	—	4	1	no	—
550	C₂×Dic₄₇	—	4	1	no	—
551	C₂×Dic₄₇	—	4	1	no	—
552	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
553	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
554	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
555	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
556	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
557	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
558	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
559	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
560	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
561	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
562	D₁₈₈	—	2	2	no	—
563	D₁₈₈	—	2	2	no	—
564	D₁₈₈	—	4	2	no	—
565	C₄×D₄₇	—	2	2	no	—
566	C₄×D₄₇	—	2	2	no	—
567	C₄×D₄₇	—	2	2	no	—
568	C₄×D₄₇	—	2	2	no	—
569	C₄×D₄₇	—	4	2	no	—
570	C₄×D₄₇	—	4	2	no	—
571	Dic₉₄	—	2	2	no	—
572	Dic₉₄	—	2	2	no	—
573	Dic₉₄	—	4	2	no	—
574	C₈×C₄₇	—	2	1	no	—
575	C₈×C₄₇	—	2	1	no	—
576	C₈×C₄₇	—	2	2	no	—
577	C₈×C₄₇	—	2	2	no	—
578	C₈×C₄₇	—	2	1	no	—
579	C₈×C₄₇	—	2	1	no	—
580	C₄₇⋊C₈	—	2	1	no	—
581	C₄₇⋊C₈	—	2	1	no	—
582	C₄₇⋊C₈	—	2	2	no	—
583	C₄₇⋊C₈	—	2	2	no	—
584	C₄₇⋊C₈	—	2	1	no	—
585	C₄₇⋊C₈	—	2	1	no	—
586	#60238	—	47	1	no	maximal, Sylow
587	C₂²×C₄₇	—	2	1	no	—
588	C₂²×C₄₇	—	2	1	no	—
589	C₂²×C₄₇	—	2	1	no	—
590	C₂²×C₄₇	—	2	1	no	—
591	C₂²×C₄₇	—	2	2	no	—
592	C₂²×C₄₇	—	2	2	no	—
593	C₂²×C₄₇	—	2	2	no	—
594	C₂²×C₄₇	—	2	2	no	—
595	C₂²×C₄₇	—	2	2	no	—
596	C₂²×C₄₇	—	2	2	no	—
597	C₂²×C₄₇	—	2	1	no	—
598	C₂²×C₄₇	—	2	1	no	—
599	C₂²×C₄₇	—	2	1	no	—
600	C₂²×C₄₇	—	2	1	no	—
601	C₂²×C₄₇	—	8	2	no	—
602	C₂²×C₄₇	—	8	4	no	—
603	C₂²×C₄₇	#518	1	2	yes	—
604	C₂²×C₄₇	C₂⁴×C₄	1	1	yes	characteristic
605	C₂×D₄₇	—	2	2	no	—
606	C₂×D₄₇	—	2	2	no	—
607	C₂×D₄₇	—	2	2	no	—
608	C₂×D₄₇	—	2	2	no	—
609	C₂×D₄₇	—	2	2	no	—
610	C₂×D₄₇	—	2	2	no	—
611	C₂×D₄₇	—	8	4	no	—
612	C₄×C₄₇	—	2	1	no	—
613	C₄×C₄₇	—	2	1	no	—
614	C₄×C₄₇	—	2	2	no	—
615	C₄×C₄₇	—	2	2	no	—
616	C₄×C₄₇	#518	1	2	yes	—
617	C₄×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
618	C₄×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
619	Dic₄₇	—	2	2	no	—
620	Dic₄₇	—	2	2	no	—
621	Dic₄₇	—	2	1	no	—
622	Dic₄₇	—	2	1	no	—
623	Dic₄₇	—	2	1	no	—
624	Dic₄₇	—	2	1	no	—
625	Dic₄₇	—	2	1	no	—
626	Dic₄₇	—	2	1	no	—
627	Dic₄₇	—	2	1	no	—
628	Dic₄₇	—	2	1	no	—
629	#3449	—	47	1	no	—
630	#2978	—	47	2	no	—
631	#2978	—	47	2	no	—
632	#2977	—	47	2	no	—
633	#2977	—	47	2	no	—
634	#2976	—	47	2	no	—
635	#2976	—	47	2	no	—
636	#2976	—	47	2	no	—
637	#2976	—	47	2	no	—
638	#2935	—	47	1	no	—
639	#2935	—	47	1	no	—
640	#2935	—	47	1	no	—
641	#2935	—	47	1	no	—
642	#2932	—	47	1	no	—
643	#2932	—	47	1	no	—
644	#2931	—	47	1	no	—
645	#2931	—	47	1	no	—
646	#2921	—	47	1	no	—
647	C₂×#433	—	47	1	no	—
648	#2880	—	47	1	no	—
649	#2880	—	47	1	no	—
650	#2880	—	47	1	no	—
651	#2880	D₄₇	1	1	yes	characteristic, complemented
652	C₂×C₄₇	—	2	2	no	—
653	C₂×C₄₇	—	4	1	no	—
654	C₂×C₄₇	—	4	2	no	—
655	C₂×C₄₇	—	4	2	no	—
656	C₂×C₄₇	—	4	1	no	—
657	C₂×C₄₇	C₂×#518	1	1	yes	characteristic
658	C₂×C₄₇	#3573	1	1	yes	characteristic
659	C₂×C₄₇	#3573	1	1	yes	characteristic
660	D₄₇	—	4	2	no	—
661	D₄₇	—	4	2	no	—
662	C₂²×#41	—	47	1	no	—
663	C₂²×#41	C₂×D₄₇	1	1	yes	characteristic
664	C₂×#131	—	47	1	no	—
665	C₂×#131	—	47	1	no	—
666	C₂×#131	—	47	1	no	—
667	C₂×#131	—	47	1	no	—
668	C₂×#131	—	47	1	no	—
669	C₂×#131	—	47	1	no	—
670	C₂×#131	C₂×D₄₇	1	1	yes	characteristic, complemented
671	C₂×#131	C₂×D₄₇	1	1	yes	characteristic, complemented
672	#537	—	47	2	no	—
673	#537	—	47	2	no	—
674	#536	—	47	1	no	—
675	#536	—	47	1	no	—
676	#536	—	47	1	no	—
677	#536	—	47	1	no	—
678	#535	—	47	1	no	—
679	#535	—	47	1	no	—
680	#535	—	47	1	no	—
681	#535	—	47	1	no	—
682	#534	—	47	2	no	—
683	#534	—	47	2	no	—
684	#532	—	47	1	no	—
685	#532	—	47	1	no	—
686	#532	—	47	1	no	—
687	#532	—	47	1	no	—
688	#525	—	47	2	no	—
689	#525	—	47	2	no	—
690	#525	—	47	2	no	—
691	#525	—	47	2	no	—
692	C₂×#117	—	47	1	no	—
693	#436	—	47	2	no	—
694	#436	—	47	2	no	—
695	#436	—	47	2	no	—
696	#436	—	47	2	no	—
697	#436	—	47	2	no	—
698	#436	—	47	2	no	—
699	#436	—	47	2	no	—
700	#436	—	47	2	no	—
701	#435	—	47	2	no	—
702	#435	—	47	2	no	—
703	#435	—	47	2	no	—
704	#435	—	47	2	no	—
705	#435	—	47	2	no	—
706	#435	—	47	2	no	—
707	#435	—	47	2	no	—
708	#435	—	47	2	no	—
709	#435	—	47	2	no	—
710	#435	—	47	2	no	—
711	#435	—	47	2	no	—
712	#435	—	47	2	no	—
713	#435	—	47	2	no	—
714	#435	—	47	2	no	—
715	#435	—	47	2	no	—
716	#435	—	47	2	no	—
717	C₈×D₄	—	47	2	no	—
718	C₈×D₄	—	47	2	no	—
719	C₈×D₄	—	47	2	no	—
720	C₈×D₄	—	47	2	no	—
721	C₈×D₄	—	47	2	no	—
722	C₈×D₄	—	47	2	no	—
723	C₈×D₄	—	47	2	no	—
724	C₈×D₄	—	47	2	no	—
725	#433	—	47	1	no	—
726	#433	—	47	1	no	—
727	#433	—	47	1	no	—
728	#433	—	47	1	no	—
729	#433	—	47	1	no	—
730	#433	—	47	1	no	—
731	#433	—	47	1	no	—
732	#433	—	47	1	no	—
733	#433	—	47	2	no	—
734	#433	—	47	2	no	—
735	#433	—	47	2	no	—
736	#433	—	47	2	no	—
737	#423	—	47	1	no	—
738	#423	—	47	1	no	—
739	C₂×C₄⋊C₈	—	47	1	no	—
740	C₂×C₄⋊C₈	—	47	1	no	—
741	#408	—	47	1	no	—
742	#408	—	47	1	no	—
743	#408	—	47	2	no	—
744	#408	—	47	2	no	—
745	#408	—	47	1	no	—
746	#408	—	47	1	no	—
747	#408	—	47	1	no	—
748	#408	—	47	1	no	—
749	#408	—	47	2	no	—
750	#408	—	47	2	no	—
751	#408	—	47	2	no	—
752	#408	—	47	2	no	—
753	#408	C₂×D₄₇	1	2	yes	—
754	#408	C₂×D₄₇	1	2	yes	—
755	#408	C₂×D₄₇	1	1	yes	characteristic, complemented
756	#408	C₂×D₄₇	1	1	yes	characteristic, complemented
757	#407	—	47	1	no	—
758	#407	—	47	2	no	—
759	#407	—	47	2	no	—
760	#407	—	47	2	no	—
761	#407	C₂×D₄₇	1	1	yes	characteristic
762	#407	C₂×D₄₇	1	2	yes	complemented
763	C₂×C₂²⋊C₈	—	47	1	no	—
764	C₂×C₂²⋊C₈	—	47	2	no	—
765	C₂×C₂²⋊C₈	—	47	2	no	—
766	C₂×C₂²⋊C₈	—	47	2	no	—
767	C₂×C₂²⋊C₈	C₂×D₄₇	1	1	yes	characteristic
768	C₂×C₂²⋊C₈	C₂×D₄₇	1	2	yes	complemented
769	C₄×M₁₆	—	47	1	no	—
770	C₄×M₁₆	—	47	1	no	—
771	C₂×#97	—	47	1	no	—
772	C₂×C₄×C₈	—	47	1	no	—
773	C₄₇	#60238	1	1	yes	characteristic, complemented, Sylow
774	C₂×#41	—	4	2	no	—
775	C₂×#41	—	4	2	no	—
776	C₂×#41	—	47	1	no	—
777	C₂×#41	—	47	1	no	—
778	C₂×#41	—	47	2	no	—
779	C₂×#41	—	47	1	no	—
780	C₂×#41	—	47	1	no	—
781	C₂×#41	—	47	2	no	—
782	C₂×#41	—	188	2	no	—
783	C₂×#41	—	188	2	no	—
784	C₂×#41	C₄×D₄₇	1	1	yes	characteristic
785	C₂×#41	C₄×D₄₇	1	1	yes	characteristic
786	C₂×#41	C₄×D₄₇	1	2	yes	—
787	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
788	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
789	C₂×#41	C₂²×D₄₇	1	2	yes	—
790	C₂²×Q₈	—	47	1	no	—
791	C₂²×Q₈	C₄×D₄₇	1	1	yes	characteristic
792	C₂²×D₄	—	47	2	no	—
793	C₂²×D₄	—	47	1	no	—
794	C₂²×D₄	C₄×D₄₇	1	2	yes	—
795	C₂²×D₄	C₄×D₄₇	1	1	yes	characteristic
796	C₂³×C₄	—	47	2	no	—
797	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
798	C₂³×C₄	C₂²×D₄₇	1	2	yes	—
799	#131	—	4	2	no	—
800	#131	—	4	2	no	—
801	#131	—	188	2	no	—
802	#131	—	188	2	no	—
803	#131	—	188	2	no	—
804	#131	—	188	2	no	—
805	#131	—	188	2	no	—
806	#131	—	188	2	no	—
807	C₂×M₁₆	—	47	1	no	—
808	C₂×M₁₆	—	47	1	no	—
809	C₂×M₁₆	—	47	2	no	—
810	C₂×M₁₆	—	47	2	no	—
811	C₂×M₁₆	—	47	2	no	—
812	C₂×M₁₆	—	47	2	no	—
813	C₂×M₁₆	—	47	2	no	—
814	C₂×M₁₆	—	47	2	no	—
815	C₂×M₁₆	C₂²×D₄₇	1	1	yes	characteristic
816	C₂×M₁₆	C₂²×D₄₇	1	1	yes	characteristic
817	C₂×M₁₆	C₂²×D₄₇	1	2	yes	—
818	C₂×M₁₆	C₂²×D₄₇	1	2	yes	—
819	C₂²×C₈	—	47	1	no	—
820	C₂²×C₈	—	47	1	no	—
821	C₂²×C₈	—	47	2	no	—
822	C₂²×C₈	—	47	2	no	—
823	C₂²×C₈	—	47	2	no	—
824	C₂²×C₈	—	47	2	no	—
825	C₂²×C₈	—	47	2	no	—
826	C₂²×C₈	—	47	2	no	—
827	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
828	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
829	C₂²×C₈	C₂²×D₄₇	1	2	yes	—
830	C₂²×C₈	C₂²×D₄₇	1	2	yes	—
831	C₄⋊Q₈	—	47	1	no	—
832	C₄⋊Q₈	—	47	1	no	—
833	C₄⋊Q₈	—	47	1	no	—
834	C₄⋊Q₈	—	47	1	no	—
835	#127	—	47	1	no	—
836	#127	—	47	1	no	—
837	#127	—	47	1	no	—
838	#127	—	47	1	no	—
839	#124	—	47	1	no	—
840	#124	—	47	1	no	—
841	#124	—	47	1	no	—
842	#124	—	47	1	no	—
843	#124	—	47	1	no	—
844	#124	—	47	1	no	—
845	#124	—	47	1	no	—
846	#124	—	47	1	no	—
847	#123	—	47	2	no	—
848	#123	—	47	2	no	—
849	#123	—	47	2	no	—
850	#123	—	47	2	no	—
851	#123	—	47	2	no	—
852	#123	—	47	2	no	—
853	#123	—	47	2	no	—
854	#123	—	47	2	no	—
855	C₂²⋊Q₈	—	47	2	no	—
856	C₂²⋊Q₈	—	47	2	no	—
857	C₂²⋊Q₈	—	47	2	no	—
858	C₂²⋊Q₈	—	47	2	no	—
859	C₂²⋊Q₈	—	47	2	no	—
860	C₂²⋊Q₈	—	47	2	no	—
861	C₂²⋊Q₈	—	47	2	no	—
862	C₂²⋊Q₈	—	47	2	no	—
863	#121	—	47	2	no	—
864	#121	—	47	2	no	—
865	#121	—	47	2	no	—
866	#121	—	47	2	no	—
867	#121	—	47	2	no	—
868	#121	—	47	2	no	—
869	#121	—	47	2	no	—
870	#121	—	47	2	no	—
871	#121	—	47	2	no	—
872	#121	—	47	2	no	—
873	#121	—	47	2	no	—
874	#121	—	47	2	no	—
875	#121	—	47	2	no	—
876	#121	—	47	2	no	—
877	#121	—	47	2	no	—
878	#121	—	47	2	no	—
879	#120	—	47	2	no	—
880	#120	—	47	2	no	—
881	#120	—	47	2	no	—
882	#120	—	47	2	no	—
883	#120	—	47	2	no	—
884	#120	—	47	2	no	—
885	#120	—	47	2	no	—
886	#120	—	47	2	no	—
887	C₄×D₄	—	47	2	no	—
888	C₄×D₄	—	47	2	no	—
889	C₄×D₄	—	47	2	no	—
890	C₄×D₄	—	47	2	no	—
891	C₄×D₄	—	47	2	no	—
892	C₄×D₄	—	47	2	no	—
893	C₄×D₄	—	47	2	no	—
894	C₄×D₄	—	47	2	no	—
895	#117	—	47	1	no	—
896	#117	—	47	1	no	—
897	#117	—	47	1	no	—
898	#117	—	47	1	no	—
899	#117	—	47	1	no	—
900	#117	—	47	1	no	—
901	#117	—	47	1	no	—
902	#117	—	47	1	no	—
903	C₂×C₄⋊C₄	—	47	1	no	—
904	C₂×C₄⋊C₄	—	47	1	no	—
905	C₂×C₂²⋊C₄	—	47	1	no	—
906	C₂×C₂²⋊C₄	—	47	1	no	—
907	C₂×C₄²	—	47	1	no	—
908	C₂×C₄²	—	47	1	no	—
909	C₄⋊C₈	—	47	1	no	—
910	C₄⋊C₈	—	47	1	no	—
911	C₄⋊C₈	—	47	1	no	—
912	C₄⋊C₈	—	47	1	no	—
913	C₄⋊C₈	—	47	1	no	—
914	C₄⋊C₈	—	47	1	no	—
915	C₄⋊C₈	—	47	1	no	—
916	C₄⋊C₈	—	47	1	no	—
917	C₄⋊C₈	—	47	2	no	—
918	C₄⋊C₈	—	47	2	no	—
919	C₄⋊C₈	—	47	2	no	—
920	C₄⋊C₈	—	47	2	no	—
921	C₂²⋊C₈	—	47	1	no	—
922	C₂²⋊C₈	—	47	1	no	—
923	C₂²⋊C₈	—	47	1	no	—
924	C₂²⋊C₈	—	47	1	no	—
925	C₂²⋊C₈	—	47	2	no	—
926	C₂²⋊C₈	—	47	2	no	—
927	C₂²⋊C₈	—	47	2	no	—
928	C₂²⋊C₈	—	47	2	no	—
929	C₂²⋊C₈	—	47	2	no	—
930	C₂²⋊C₈	—	47	2	no	—
931	C₂²⋊C₈	—	47	2	no	—
932	C₂²⋊C₈	—	47	2	no	—
933	C₂²⋊C₈	—	47	2	no	—
934	C₂²⋊C₈	—	47	2	no	—
935	C₂²⋊C₈	—	47	2	no	—
936	C₂²⋊C₈	—	47	2	no	—
937	C₂²⋊C₈	—	47	2	no	—
938	C₂²⋊C₈	—	47	2	no	—
939	C₂²⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
940	C₂²⋊C₈	C₂²×D₄₇	1	2	yes	—
941	C₂²⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
942	C₂²⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
943	C₂²⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
944	C₂²⋊C₈	C₂²×D₄₇	1	2	yes	—
945	C₂²⋊C₈	C₂²×D₄₇	1	2	yes	—
946	C₂²⋊C₈	C₂²×D₄₇	1	2	yes	—
947	C₂²⋊C₈	C₂²×D₄₇	1	2	yes	—
948	C₂²⋊C₈	C₂²×D₄₇	1	2	yes	—
949	#97	—	47	1	no	—
950	#97	—	47	1	no	—
951	#97	—	47	1	no	—
952	#97	—	47	1	no	—
953	#97	—	47	2	no	—
954	#97	—	47	2	no	—
955	C₄×C₈	—	47	1	no	—
956	C₄×C₈	—	47	1	no	—
957	C₄×C₈	—	47	1	no	—
958	C₄×C₈	—	47	1	no	—
959	C₄×C₈	—	47	2	no	—
960	C₄×C₈	—	47	2	no	—
961	C₂⁴	—	47	2	no	—
962	C₂⁴	C₂×C₄×D₄₇	1	1	yes	characteristic
963	C₂⁴	C₂×C₄×D₄₇	1	2	yes	—
964	#41	—	2	2	no	—
965	#41	—	2	2	no	—
966	#41	—	2	2	no	—
967	#41	—	2	2	no	—
968	#41	—	4	2	no	—
969	#41	—	4	2	no	—
970	#41	—	4	4	no	—
971	#41	—	4	2	no	—
972	#41	—	4	2	no	—
973	#41	—	94	2	no	—
974	#41	—	94	2	no	—
975	#41	—	94	2	no	—
976	#41	—	94	2	no	—
977	#41	—	188	2	no	—
978	#41	—	188	2	no	—
979	#41	—	188	4	no	—
980	#41	—	188	2	no	—
981	#41	—	188	2	no	—
982	C₂×Q₈	—	4	2	no	—
983	C₂×Q₈	—	47	1	no	—
984	C₂×Q₈	—	47	1	no	—
985	C₂×Q₈	—	47	2	no	—
986	C₂×Q₈	—	188	2	no	—
987	C₂×Q₈	C₂×C₄×D₄₇	1	1	yes	characteristic
988	C₂×Q₈	C₂×C₄×D₄₇	1	1	yes	characteristic
989	C₂×Q₈	C₂×C₄×D₄₇	1	2	yes	—
990	C₂×D₄	—	4	2	no	—
991	C₂×D₄	—	4	4	no	—
992	C₂×D₄	—	47	2	no	—
993	C₂×D₄	—	47	2	no	—
994	C₂×D₄	—	47	2	no	—
995	C₂×D₄	—	47	2	no	—
996	C₂×D₄	—	47	2	no	—
997	C₂×D₄	—	47	2	no	—
998	C₂×D₄	—	47	2	no	—
999	C₂×D₄	—	47	2	no	—
1000	C₂×D₄	—	47	2	no	—
1001	C₂×D₄	—	47	2	no	—
1002	C₂×D₄	—	47	2	no	—
1003	C₂×D₄	—	47	2	no	—
1004	C₂×D₄	—	47	1	no	—
1005	C₂×D₄	—	47	1	no	—
1006	C₂×D₄	—	47	2	no	—
1007	C₂×D₄	—	188	2	no	—
1008	C₂×D₄	—	188	4	no	—
1009	C₂×D₄	C₂×C₄×D₄₇	1	2	yes	—
1010	C₂×D₄	C₂×C₄×D₄₇	1	2	yes	—
1011	C₂×D₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1012	C₂×D₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1013	C₂×D₄	C₂×C₄×D₄₇	1	2	yes	—
1014	C₂×D₄	C₂×C₄×D₄₇	1	2	yes	—
1015	C₂×D₄	C₂×C₄×D₄₇	1	2	yes	—
1016	C₂²×C₄	—	2	2	no	—
1017	C₂²×C₄	—	2	2	no	—
1018	C₂²×C₄	—	4	2	no	—
1019	C₂²×C₄	—	4	2	no	—
1020	C₂²×C₄	—	47	1	no	—
1021	C₂²×C₄	—	47	1	no	—
1022	C₂²×C₄	—	47	1	no	—
1023	C₂²×C₄	—	47	1	no	—
1024	C₂²×C₄	—	47	2	no	—
1025	C₂²×C₄	—	47	2	no	—
1026	C₂²×C₄	—	47	2	no	—
1027	C₂²×C₄	—	47	2	no	—
1028	C₂²×C₄	—	47	2	no	—
1029	C₂²×C₄	—	188	2	no	—
1030	C₂²×C₄	—	188	2	no	—
1031	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1032	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1033	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1034	C₂²×C₄	C₂×C₄×D₄₇	1	2	yes	—
1035	C₂²×C₄	C₂×C₄×D₄₇	1	2	yes	—
1036	C₂²×C₄	C₂×C₄×D₄₇	1	2	yes	—
1037	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1038	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1039	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
1040	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
1041	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1042	M₁₆	—	2	2	no	—
1043	M₁₆	—	2	2	no	—
1044	M₁₆	—	4	2	no	—
1045	M₁₆	—	4	2	no	—
1046	M₁₆	—	94	2	no	—
1047	M₁₆	—	94	2	no	—
1048	M₁₆	—	188	2	no	—
1049	M₁₆	—	188	2	no	—
1050	M₁₆	—	188	2	no	—
1051	M₁₆	—	188	2	no	—
1052	M₁₆	—	188	2	no	—
1053	M₁₆	—	188	2	no	—
1054	C₂×C₈	—	2	2	no	—
1055	C₂×C₈	—	2	2	no	—
1056	C₂×C₈	—	4	2	no	—
1057	C₂×C₈	—	4	2	no	—
1058	C₂×C₈	—	47	1	no	—
1059	C₂×C₈	—	47	1	no	—
1060	C₂×C₈	—	47	2	no	—
1061	C₂×C₈	—	47	2	no	—
1062	C₂×C₈	—	47	1	no	—
1063	C₂×C₈	—	47	1	no	—
1064	C₂×C₈	—	94	2	no	—
1065	C₂×C₈	—	94	2	no	—
1066	C₂×C₈	—	188	2	no	—
1067	C₂×C₈	—	188	2	no	—
1068	C₂×C₈	—	188	2	no	—
1069	C₂×C₈	—	188	2	no	—
1070	C₂×C₈	—	188	2	no	—
1071	C₂×C₈	—	188	2	no	—
1072	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1073	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1074	C₂×C₈	C₂³×D₄₇	1	2	yes	—
1075	C₂×C₈	C₂³×D₄₇	1	2	yes	—
1076	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1077	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1078	C₄⋊C₄	—	47	2	no	—
1079	C₄⋊C₄	—	47	2	no	—
1080	C₄⋊C₄	—	47	2	no	—
1081	C₄⋊C₄	—	47	2	no	—
1082	C₄⋊C₄	—	47	2	no	—
1083	C₄⋊C₄	—	47	2	no	—
1084	C₄⋊C₄	—	47	2	no	—
1085	C₄⋊C₄	—	47	2	no	—
1086	C₄⋊C₄	—	47	1	no	—
1087	C₄⋊C₄	—	47	1	no	—
1088	C₄⋊C₄	—	47	1	no	—
1089	C₄⋊C₄	—	47	1	no	—
1090	C₄⋊C₄	—	47	1	no	—
1091	C₄⋊C₄	—	47	1	no	—
1092	C₄⋊C₄	—	47	1	no	—
1093	C₄⋊C₄	—	47	1	no	—
1094	C₂²⋊C₄	—	47	1	no	—
1095	C₂²⋊C₄	—	47	1	no	—
1096	C₂²⋊C₄	—	47	1	no	—
1097	C₂²⋊C₄	—	47	1	no	—
1098	C₂²⋊C₄	—	47	1	no	—
1099	C₂²⋊C₄	—	47	1	no	—
1100	C₂²⋊C₄	—	47	1	no	—
1101	C₂²⋊C₄	—	47	1	no	—
1102	C₂²⋊C₄	—	47	2	no	—
1103	C₂²⋊C₄	—	47	2	no	—
1104	C₂²⋊C₄	—	47	2	no	—
1105	C₂²⋊C₄	—	47	2	no	—
1106	C₂²⋊C₄	—	47	2	no	—
1107	C₂²⋊C₄	—	47	2	no	—
1108	C₂²⋊C₄	—	47	2	no	—
1109	C₂²⋊C₄	—	47	2	no	—
1110	C₂²⋊C₄	—	47	2	no	—
1111	C₂²⋊C₄	—	47	2	no	—
1112	C₂²⋊C₄	—	47	2	no	—
1113	C₂²⋊C₄	—	47	2	no	—
1114	C₂²⋊C₄	—	47	2	no	—
1115	C₂²⋊C₄	—	47	2	no	—
1116	C₂²⋊C₄	—	47	2	no	—
1117	C₂²⋊C₄	—	47	2	no	—
1118	C₄²	—	47	1	no	—
1119	C₄²	—	47	1	no	—
1120	C₄²	—	47	1	no	—
1121	C₄²	—	47	1	no	—
1122	C₄²	—	47	1	no	—
1123	C₄²	—	47	1	no	—
1124	C₄²	—	47	1	no	—
1125	C₄²	—	47	1	no	—
1126	C₂³	—	2	2	no	—
1127	C₂³	—	4	2	no	—
1128	C₂³	—	4	1	no	—
1129	C₂³	—	4	1	no	—
1130	C₂³	—	4	2	no	—
1131	C₂³	—	4	2	no	—
1132	C₂³	—	47	2	no	—
1133	C₂³	—	47	2	no	—
1134	C₂³	—	188	2	no	—
1135	C₂³	—	188	2	no	—
1136	C₂³	—	188	2	no	—
1137	C₂³	C₂²×C₄×D₄₇	1	1	yes	characteristic
1138	C₂³	C₂²×C₄×D₄₇	1	1	yes	characteristic
1139	C₂³	C₂²×C₄×D₄₇	1	2	yes	—
1140	C₂³	C₂²×C₄×D₄₇	1	2	yes	—
1141	C₂³	C₂²×C₄×D₄₇	1	1	yes	characteristic
1142	Q₈	—	2	2	no	—
1143	Q₈	—	2	2	no	—
1144	Q₈	—	4	2	no	—
1145	Q₈	—	94	2	no	—
1146	Q₈	—	94	2	no	—
1147	Q₈	—	188	2	no	—
1148	D₄	—	2	4	no	—
1149	D₄	—	2	4	no	—
1150	D₄	—	2	2	no	—
1151	D₄	—	2	2	no	—
1152	D₄	—	4	2	no	—
1153	D₄	—	4	2	no	—
1154	D₄	—	4	2	no	—
1155	D₄	—	94	4	no	—
1156	D₄	—	94	4	no	—
1157	D₄	—	94	2	no	—
1158	D₄	—	94	2	no	—
1159	D₄	—	188	2	no	—
1160	D₄	—	188	2	no	—
1161	D₄	—	188	2	no	—
1162	D₄	—	188	2	no	—
1163	D₄	—	188	2	no	—
1164	D₄	—	188	2	no	—
1165	D₄	—	188	2	no	—
1166	D₄	—	188	2	no	—
1167	D₄	—	188	2	no	—
1168	D₄	—	188	2	no	—
1169	D₄	—	188	2	no	—
1170	C₂×C₄	—	2	2	no	—
1171	C₂×C₄	—	2	2	no	—
1172	C₂×C₄	—	2	2	no	—
1173	C₂×C₄	—	2	2	no	—
1174	C₂×C₄	—	2	2	no	—
1175	C₂×C₄	—	2	2	no	—
1176	C₂×C₄	—	2	2	no	—
1177	C₂×C₄	—	2	1	no	—
1178	C₂×C₄	—	2	1	no	—
1179	C₂×C₄	—	2	1	no	—
1180	C₂×C₄	—	2	1	no	—
1181	C₂×C₄	—	4	2	no	—
1182	C₂×C₄	—	4	2	no	—
1183	C₂×C₄	—	4	2	no	—
1184	C₂×C₄	—	47	1	no	—
1185	C₂×C₄	—	47	1	no	—
1186	C₂×C₄	—	47	1	no	—
1187	C₂×C₄	—	47	1	no	—
1188	C₂×C₄	—	47	1	no	—
1189	C₂×C₄	—	47	1	no	—
1190	C₂×C₄	—	47	1	no	—
1191	C₂×C₄	—	47	1	no	—
1192	C₂×C₄	—	47	2	no	—
1193	C₂×C₄	—	47	2	no	—
1194	C₂×C₄	—	94	2	no	—
1195	C₂×C₄	—	94	2	no	—
1196	C₂×C₄	—	94	2	no	—
1197	C₂×C₄	—	94	2	no	—
1198	C₂×C₄	—	188	2	no	—
1199	C₂×C₄	—	188	2	no	—
1200	C₂×C₄	—	188	1	no	—
1201	C₂×C₄	—	188	1	no	—
1202	C₂×C₄	—	188	1	no	—
1203	C₂×C₄	—	188	1	no	—
1204	C₂×C₄	—	188	2	no	—
1205	C₂×C₄	C₂²×C₄×D₄₇	1	2	yes	—
1206	C₂×C₄	C₂²×C₄×D₄₇	1	2	yes	—
1207	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
1208	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
1209	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
1210	C₂×C₄	#13094069	1	2	yes	—
1211	C₂×C₄	#13094069	1	2	yes	—
1212	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1213	C₈	—	2	1	no	—
1214	C₈	—	2	1	no	—
1215	C₈	—	2	1	no	—
1216	C₈	—	2	1	no	—
1217	C₈	—	2	2	no	—
1218	C₈	—	2	2	no	—
1219	C₈	—	94	1	no	—
1220	C₈	—	94	1	no	—
1221	C₈	—	94	1	no	—
1222	C₈	—	94	1	no	—
1223	C₈	—	94	2	no	—
1224	C₈	—	94	2	no	—
1225	C₂²	—	2	1	no	—
1226	C₂²	—	2	1	no	—
1227	C₂²	—	2	2	no	—
1228	C₂²	—	2	2	no	—
1229	C₂²	—	2	1	no	—
1230	C₂²	—	2	1	no	—
1231	C₂²	—	2	2	no	—
1232	C₂²	—	2	2	no	—
1233	C₂²	—	2	1	no	—
1234	C₂²	—	2	1	no	—
1235	C₂²	—	2	1	no	—
1236	C₂²	—	2	1	no	—
1237	C₂²	—	2	2	no	—
1238	C₂²	—	2	2	no	—
1239	C₂²	—	8	2	no	—
1240	C₂²	—	8	4	no	—
1241	C₂²	—	94	2	no	—
1242	C₂²	—	94	2	no	—
1243	C₂²	—	94	2	no	—
1244	C₂²	—	94	2	no	—
1245	C₂²	—	94	2	no	—
1246	C₂²	—	94	2	no	—
1247	C₂²	—	376	4	no	—
1248	C₂²	#15689596	1	2	yes	—
1249	C₂²	C₂³×C₄×D₄₇	1	1	yes	characteristic
1250	C₄	—	2	1	no	—
1251	C₄	—	2	1	no	—
1252	C₄	—	2	2	no	—
1253	C₄	—	2	2	no	—
1254	C₄	—	94	1	no	—
1255	C₄	—	94	1	no	—
1256	C₄	—	94	1	no	—
1257	C₄	—	94	1	no	—
1258	C₄	—	94	1	no	—
1259	C₄	—	94	1	no	—
1260	C₄	—	94	1	no	—
1261	C₄	—	94	1	no	—
1262	C₄	—	94	2	no	—
1263	C₄	—	94	2	no	—
1264	C₄	#15689596	1	2	yes	—
1265	C₄	C₂×#13094069	1	1	yes	characteristic
1266	C₄	C₂×#13094069	1	1	yes	characteristic
1267	C₂	—	2	2	no	—
1268	C₂	—	4	1	no	—
1269	C₂	—	4	1	no	—
1270	C₂	—	4	2	no	—
1271	C₂	—	4	2	no	—
1272	C₂	—	188	2	no	—
1273	C₂	—	188	2	no	—
1274	C₂	C₂×#15689596	1	1	yes	characteristic
1275	C₂	#20258099	1	1	yes	characteristic
1276	C₂	#20258101	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₄₇
commutator, socle	C₂²×C₄₇	C₂⁴×C₄
Fitting	C₄₇×#2880	C₂
prime radical	#20256717	C₂
cosocle	C₂×C₄×C₄₇	C₂⁵
hypercenter	#2880	D₄₇
hypocenter	C₄₇	#60238
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂×C₄ ◁ #2880

Complements

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

N	H ≅ G/N	type
2. #20252448	C₂	semidirect
3. #20252446	C₂	semidirect
4. #20252442	C₂	semidirect
5. #20252440	C₂	semidirect
6. #20252438	C₂	semidirect
7. #20252433	C₂	semidirect
8. #20252431	C₂	semidirect
9. #20252431	C₂	semidirect
10. #20252130	C₂	semidirect
11. #20252130	C₂	semidirect
12. #20252128	C₂	semidirect
13. #20252128	C₂	semidirect
14. #20252104	C₂	semidirect
15. #20252103	C₂	semidirect
16. #20252098	C₂	semidirect
17. #20252096	C₂	semidirect
18. #20252023	C₂	semidirect
19. C₂×#15689181	C₂	semidirect
20. #20251838	C₂	semidirect
21. #20251837	C₂	semidirect
22. #20251834	C₂	semidirect
23. C₄₇×#2880	C₂	semidirect
25. C₂×#13094032	C₂²	semidirect
26. C₂×#13094032	C₂²	semidirect
27. C₂×#13094031	C₂²	semidirect
28. C₂×#13094031	C₂²	semidirect
29. C₂×#13094030	C₂²	semidirect
30. C₂×#13094030	C₂²	semidirect
52. #15689199	C₂²	semidirect
53. #15689199	C₂²	semidirect
54. #15689199	C₂²	semidirect
55. #15689199	C₂²	semidirect
56. #15689198	C₂²	semidirect
57. #15689198	C₂²	semidirect
58. #15689198	C₂²	semidirect
59. #15689198	C₂²	semidirect
60. #15689197	C₂²	semidirect
61. #15689197	C₂²	semidirect
62. #15689197	C₂²	semidirect
63. #15689197	C₂²	semidirect
64. #15689194	C₂²	semidirect
65. #15689194	C₂²	semidirect
66. #15689194	C₂²	semidirect
67. #15689194	C₂²	semidirect
68. #15689192	C₂²	semidirect
69. #15689192	C₂²	semidirect
70. #15689192	C₂²	semidirect
71. #15689192	C₂²	semidirect
72. #15689191	C₂²	semidirect
73. #15689191	C₂²	semidirect
74. #15689191	C₂²	semidirect
75. #15689191	C₂²	semidirect
76. C₈×C₂²⋊D₄₇	C₂²	semidirect
77. C₈×C₂²⋊D₄₇	C₂²	semidirect
78. C₈×C₂²⋊D₄₇	C₂²	semidirect
79. C₈×C₂²⋊D₄₇	C₂²	semidirect
80. (C₂²⋊D₄₇)⋊C₈	C₂²	semidirect
81. (C₂²⋊D₄₇)⋊C₈	C₂²	semidirect
82. (C₂²⋊D₄₇)⋊C₈	C₂²	semidirect
83. (C₂²⋊D₄₇)⋊C₈	C₂²	semidirect
84. #15689181	C₂²	semidirect
85. #15689181	C₂²	semidirect
86. #15689181	C₂²	semidirect
87. #15689181	C₂²	semidirect
88. #15689181	C₂²	semidirect
89. #15689181	C₂²	semidirect
90. #15689181	C₂²	semidirect
91. #15689181	C₂²	semidirect
92. #15689181	C₂²	semidirect
93. #15689181	C₂²	semidirect
94. #15689181	C₂²	semidirect
95. #15689181	C₂²	semidirect
96. #15689146	C₂²	semidirect
97. #15689146	C₂²	semidirect
98. C₂×Dic₄₇⋊C₈	C₂²	semidirect
99. C₂×Dic₄₇⋊C₈	C₂²	semidirect
100. #15689091	C₂²	semidirect
101. #15689091	C₂²	semidirect
104. #15689090	C₂²	semidirect
105. #15689090	C₂²	semidirect
106. #15689089	C₂²	semidirect
107. #15689089	C₂²	semidirect
113. #15689087	C₂²	semidirect
114. #15689085	C₂²	semidirect
115. #15689085	C₂²	semidirect
117. C₂×C₂²⋊(C₄₇⋊C₈)	C₂²	semidirect
118. C₂²⋊C₈×D₄₇	C₂²	semidirect
119. C₂²⋊C₈×D₄₇	C₂²	semidirect
120. M₁₆×Dic₄₇	C₂²	semidirect
121. M₁₆×Dic₄₇	C₂²	semidirect
122. C₂×#13093934	C₂²	semidirect
123. C₂×C₈×Dic₄₇	C₂²	semidirect
125. C₂×#131×C₄₇	C₂²	semidirect
126. C₂×#131×C₄₇	C₂²	semidirect
129. C₄₇×#408	C₂²	semidirect
130. C₄₇×#408	C₂²	semidirect
132. C₄₇×#407	C₂²	semidirect
134. C₂×C₂²⋊C₈×C₄₇	C₂²	semidirect
651. #2880	D₄₇	semidirect
670. C₂×#131	C₂×D₄₇	semidirect
671. C₂×#131	C₂×D₄₇	semidirect
755. #408	C₂×D₄₇	semidirect
756. #408	C₂×D₄₇	semidirect
762. #407	C₂×D₄₇	semidirect
768. C₂×C₂²⋊C₈	C₂×D₄₇	semidirect
773. C₄₇	#60238	semidirect

Maximal subgroups

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

subgroup	index
#20256717	2
#20252448	2
#20252446	2
#20252442	2
#20252440	2
#20252438	2
#20252433	2
#20252431	2
#20252130	2
#20252128	2
#20252104	2
#20252103	2
#20252098	2
#20252096	2
#20252023	2
C₂×#15689181	2
#20251838	2
#20251837	2
#20251834	2
C₄₇×#2880	2
#60238	47