Subgroups — #27081262

Order 12032.

1748 conjugacy classes of subgroups.

The subgroup lattice has 830 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#533×D₄₇	C₂	1	1	yes	maximal, characteristic
2	#20252488	C₂	1	2	yes	maximal, complemented
3	#20252486	C₂	1	2	yes	maximal, complemented
4	#20252484	C₂	1	2	yes	maximal, complemented
5	#20252479	C₂	1	2	yes	maximal, complemented
6	#20252476	C₂	1	2	yes	maximal, complemented
7	#20252474	C₂	1	2	yes	maximal, complemented
8	#20252470	C₂	1	2	yes	maximal, complemented
9	#20252467	C₂	1	2	yes	maximal, complemented
10	#20252334	C₂	1	2	yes	maximal, complemented
11	#20252332	C₂	1	2	yes	maximal, complemented
12	#20252323	C₂	1	1	yes	maximal, characteristic, complemented
13	#20252322	C₂	1	1	yes	maximal, characteristic, complemented
14	#20252318	C₂	1	1	yes	maximal, characteristic, complemented
15	#20252045	C₂	1	2	yes	maximal
16	#20252043	C₂	1	2	yes	maximal
17	#20252020	C₂	1	1	yes	maximal, characteristic
18	C₂×#15689174	C₂	1	1	yes	maximal, characteristic
19	C₄₇×#2960	C₂	1	1	yes	maximal, characteristic, complemented
20	#15689680	C₂²	1	1	yes	characteristic
21	#15689679	C₄	1	2	yes	—
22	#15689678	C₄	1	1	yes	characteristic
23	#15689678	C₄	1	1	yes	characteristic
24	#15689677	C₂²	1	2	yes	—
25	#15689677	C₂²	1	2	yes	—
26	#15689676	C₂²	1	2	yes	—
27	#15689675	C₄	1	2	yes	—
28	#15689675	C₄	1	2	yes	—
29	C₄⋊Q₈×D₄₇	C₄	1	1	yes	characteristic
30	C₄⋊Q₈×D₄₇	C₄	1	1	yes	characteristic
31	#125×D₄₇	C₄	1	2	yes	—
32	C₂²⋊Q₈×D₄₇	C₄	1	2	yes	—
33	C₂²⋊Q₈×D₄₇	C₄	1	2	yes	—
34	C₄×Q₈×D₄₇	C₂²	1	2	yes	—
35	C₄×Q₈×D₄₇	C₂²	1	2	yes	—
36	#117×D₄₇	C₂²	1	2	yes	—
37	C₂×C₄²×D₄₇	C₂²	1	1	yes	characteristic
38	#15689254	C₂²	1	2	yes	complemented
39	#15689254	C₂²	1	2	yes	complemented
40	#15689253	C₂²	1	2	yes	complemented
41	#15689253	C₂²	1	4	yes	complemented
42	#15689253	C₂²	1	2	yes	complemented
43	#15689252	C₂²	1	4	yes	complemented
44	#15689252	C₂²	1	4	yes	complemented
45	#15689251	C₂²	1	4	yes	complemented
46	#15689251	C₂²	1	4	yes	complemented
47	#15689250	C₂²	1	2	yes	complemented
48	#15689250	C₂²	1	4	yes	complemented
49	#15689250	C₂²	1	2	yes	complemented
50	Q₈×C₄₇⋊C₈	C₂²	1	2	yes	complemented
51	Q₈×C₄₇⋊C₈	C₂²	1	2	yes	complemented
52	C₈×Dic₉₄	C₂²	1	2	yes	complemented
53	C₈×Dic₉₄	C₂²	1	4	yes	complemented
54	C₈×Dic₉₄	C₂²	1	2	yes	complemented
55	#15689247	C₂²	1	2	yes	complemented
56	#15689247	C₂²	1	4	yes	complemented
57	#15689247	C₂²	1	2	yes	complemented
58	#15689185	C₂²	1	4	yes	—
59	#15689183	C₂²	1	4	yes	—
60	#15689183	C₂²	1	4	yes	—
61	#15689182	C₂²	1	4	yes	—
62	#15689179	C₂²	1	4	yes	—
63	#15689179	C₂²	1	2	yes	—
64	#15689179	C₂²	1	2	yes	—
65	#15689178	C₂²	1	4	yes	—
66	#15689175	C₂²	1	2	yes	—
67	#15689175	C₂²	1	4	yes	—
68	#15689175	C₂²	1	2	yes	—
69	#15689174	C₂²	1	1	yes	characteristic
70	#15689174	C₂²	1	4	yes	—
71	#15689174	C₂²	1	1	yes	characteristic
72	#15689174	C₂²	1	1	yes	characteristic
73	#15689174	C₂²	1	1	yes	characteristic
74	#15689174	C₂²	1	1	yes	characteristic
75	#15689174	C₂²	1	1	yes	characteristic
76	#15689174	C₂²	1	1	yes	characteristic
77	#15689174	C₂²	1	1	yes	characteristic
78	#15689151	C₂²	1	2	yes	—
79	#15689150	C₂²	1	2	yes	—
80	#15689149	C₂²	1	2	yes	—
81	#15689147	C₂²	1	1	yes	characteristic
82	C₂×Dic₄₇⋊C₈	C₂²	1	1	yes	characteristic
83	C₂×Dic₄₇⋊C₈	C₂²	1	1	yes	characteristic
84	#15689086	C₂²	1	2	yes	—
85	C₂×(C₂×D₄₇)⋊C₈	C₂²	1	1	yes	characteristic
86	C₂×(C₂×D₄₇)⋊C₈	C₂²	1	1	yes	characteristic
87	#15689081	C₂²	1	2	yes	—
88	#15689079	C₂²	1	2	yes	—
89	#15689078	C₂²	1	2	yes	—
90	M₁₆×Dic₄₇	C₂²	1	2	yes	—
91	C₂×C₄×C₄₇⋊C₈	C₂²	1	1	yes	characteristic
92	C₄₇×#533	C₂²	1	1	yes	characteristic
93	C₄₇×#446	C₂²	1	2	yes	complemented
94	C₄₇×#446	C₂²	1	2	yes	complemented
95	C₈×Q₈×C₄₇	C₂²	1	2	yes	complemented
96	C₈×Q₈×C₄₇	C₂²	1	2	yes	complemented
97	C₄₇×#424	C₂²	1	2	yes	—
98	C₄₇×#423	C₂²	1	1	yes	characteristic
99	C₄₇×#405	C₂²	1	2	yes	—
100	C₂×C₄×C₈×C₄₇	C₂²	1	1	yes	characteristic
101	C₂×Q₈×D₄₇	C₂×C₄	1	2	yes	—
102	C₂×Q₈×D₄₇	C₂×C₄	1	2	yes	—
103	C₂²×C₄×D₄₇	C₂×C₄	1	1	yes	characteristic
104	C₂²×C₄×D₄₇	C₂×C₄	1	1	yes	characteristic
105	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
106	C₂×#10625329	C₂³	1	2	yes	—
107	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
108	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
109	#13094024	C₂×C₄	1	1	yes	characteristic
110	#13094024	C₂×C₄	1	1	yes	characteristic
111	#13094023	C₂×C₄	1	2	yes	—
112	#13094023	C₂×C₄	1	2	yes	—
113	#13094023	C₂×C₄	1	2	yes	—
114	#13094023	C₂×C₄	1	2	yes	—
115	#13094022	C₂×C₄	1	2	yes	—
116	#13094022	C₂×C₄	1	2	yes	—
117	#13094016	C₂×C₄	1	2	yes	—
118	#13094015	C₂×C₄	1	2	yes	—
119	#13094015	C₂×C₄	1	2	yes	—
120	#13094014	C₂×C₄	1	4	yes	—
121	#13094014	C₂×C₄	1	4	yes	—
122	#13094004	C₂×C₄	1	2	yes	—
123	#13094004	C₂×C₄	1	2	yes	—
124	#13094003	C₂×C₄	1	2	yes	—
125	#13094003	C₂×C₄	1	2	yes	—
126	#13094002	C₂×C₄	1	4	yes	—
127	#13094002	C₂×C₄	1	4	yes	—
128	#13094001	C₂×C₄	1	4	yes	—
129	#13094001	C₂×C₄	1	4	yes	—
130	#13094000	C₂×C₄	1	2	yes	—
131	#13094000	C₂×C₄	1	2	yes	—
132	Q₈×Dic₄₇	C₂×C₄	1	2	yes	—
133	Q₈×Dic₄₇	C₂×C₄	1	2	yes	—
134	C₄×Dic₉₄	C₂³	1	2	yes	—
135	C₄×Dic₉₄	C₂³	1	2	yes	—
136	C₄×Dic₉₄	C₂³	1	4	yes	—
137	C₄×Dic₉₄	C₂³	1	4	yes	—
138	#13093989	C₂×C₄	1	2	yes	—
139	#13093989	C₂×C₄	1	2	yes	—
140	#13093989	C₂×C₄	1	4	yes	—
141	#13093989	C₂×C₄	1	4	yes	—
142	#13093983	C₂³	1	2	yes	—
143	#13093982	C₂×C₄	1	2	yes	—
144	#13093982	C₂×C₄	1	2	yes	—
145	#13093981	C₂³	1	4	yes	—
146	#13093980	C₂×C₄	1	4	yes	—
147	C₄⋊C₄×D₄₇	C₂×C₄	1	2	yes	—
148	C₄⋊C₄×D₄₇	C₂×C₄	1	2	yes	—
149	C₄⋊C₄×D₄₇	C₂×C₄	1	4	yes	—
150	C₄⋊C₄×D₄₇	C₂×C₄	1	4	yes	—
151	C₄⋊C₄×D₄₇	C₂×C₄	1	2	yes	—
152	C₄⋊C₄×D₄₇	C₂×C₄	1	2	yes	—
153	C₂²⋊C₄×D₄₇	C₂×C₄	1	4	yes	—
154	C₂×C₄×Dic₄₇	C₂×C₄	1	1	yes	characteristic
155	C₂×C₄×Dic₄₇	C₂×C₄	1	1	yes	characteristic
156	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
157	C₄²×D₄₇	C₂×C₄	1	1	yes	characteristic
158	C₄²×D₄₇	C₂×C₄	1	1	yes	characteristic
159	C₄²×D₄₇	C₂×C₄	1	1	yes	characteristic
160	C₄²×D₄₇	C₂×C₄	1	1	yes	characteristic
161	C₄²×D₄₇	C₂³	1	1	yes	characteristic
162	C₄²×D₄₇	C₂³	1	1	yes	characteristic
163	C₄²×D₄₇	C₂³	1	1	yes	characteristic
164	C₄²×D₄₇	C₂³	1	1	yes	characteristic
165	C₄²×D₄₇	C₂³	1	4	yes	—
166	C₄⋊(C₄₇⋊C₈)	C₂³	1	4	yes	—
167	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
168	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
169	C₄⋊(C₄₇⋊C₈)	C₂³	1	4	yes	—
170	Dic₄₇⋊C₈	C₂³	1	1	yes	characteristic
171	Dic₄₇⋊C₈	C₂³	1	4	yes	—
172	Dic₄₇⋊C₈	C₂³	1	4	yes	—
173	Dic₄₇⋊C₈	C₂³	1	1	yes	characteristic
174	Dic₄₇⋊C₈	C₂³	1	4	yes	—
175	Dic₄₇⋊C₈	C₂³	1	4	yes	—
176	Dic₄₇⋊C₈	C₂³	1	1	yes	characteristic
177	Dic₄₇⋊C₈	C₂³	1	1	yes	characteristic
178	Dic₄₇⋊C₈	C₂³	1	1	yes	characteristic
179	Dic₄₇⋊C₈	C₂³	1	1	yes	characteristic
180	Dic₄₇⋊C₈	C₂³	1	1	yes	characteristic
181	Dic₄₇⋊C₈	C₂³	1	1	yes	characteristic
182	(C₂×D₄₇)⋊C₈	C₂³	1	1	yes	characteristic
183	(C₂×D₄₇)⋊C₈	C₂³	1	1	yes	characteristic
184	(C₂×D₄₇)⋊C₈	C₂³	1	1	yes	characteristic
185	(C₂×D₄₇)⋊C₈	C₂³	1	1	yes	characteristic
186	(C₂×D₄₇)⋊C₈	C₂³	1	1	yes	characteristic
187	(C₂×D₄₇)⋊C₈	C₂³	1	1	yes	characteristic
188	(C₂×D₄₇)⋊C₈	C₂³	1	1	yes	characteristic
189	(C₂×D₄₇)⋊C₈	C₂³	1	1	yes	characteristic
190	(C₂×D₄₇)⋊C₈	C₂³	1	4	yes	—
191	(C₂×D₄₇)⋊C₈	C₂³	1	4	yes	—
192	#13093935	C₂³	1	4	yes	—
193	#13093934	C₂³	1	4	yes	—
194	#13093934	C₂³	1	4	yes	—
195	#13093934	C₂³	1	4	yes	—
196	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
197	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
198	C₄×C₄₇⋊C₈	C₂³	1	4	yes	—
199	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
200	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
201	C₈×Dic₄₇	C₂³	1	4	yes	—
202	C₈×Dic₄₇	C₂³	1	4	yes	—
203	C₈×Dic₄₇	C₂³	1	4	yes	—
204	C₂×M₁₆×C₄₇	C₂³	1	2	yes	—
205	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
206	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
207	C₄⋊Q₈×C₄₇	C₂×C₄	1	1	yes	characteristic
208	C₄⋊Q₈×C₄₇	C₂×C₄	1	1	yes	characteristic
209	#125×C₄₇	C₂×C₄	1	2	yes	—
210	C₂²⋊Q₈×C₄₇	C₂×C₄	1	2	yes	—
211	C₂²⋊Q₈×C₄₇	C₂×C₄	1	2	yes	—
212	C₄×Q₈×C₄₇	C₂³	1	2	yes	—
213	C₄×Q₈×C₄₇	C₂³	1	2	yes	—
214	#117×C₄₇	C₂³	1	2	yes	—
215	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
216	C₄⋊C₈×C₄₇	C₂³	1	2	yes	—
217	C₄⋊C₈×C₄₇	C₂³	1	2	yes	—
218	C₄⋊C₈×C₄₇	C₂³	1	4	yes	—
219	C₄⋊C₈×C₄₇	C₂³	1	4	yes	—
220	#97×C₄₇	C₂³	1	4	yes	—
221	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
222	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
223	C₄×C₈×C₄₇	C₂³	1	4	yes	—
224	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
225	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
226	C₂³×D₄₇	C₂²×C₄	1	1	yes	characteristic
227	C₂×Q₈×C₄₇	C₂²×C₄	1	2	yes	—
228	C₂×Q₈×C₄₇	C₂²×C₄	1	2	yes	—
229	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
230	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
231	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
232	C₂²×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
233	C₂²×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
234	C₂²×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
235	Q₈×D₄₇	—	2	8	no	—
236	Q₈×D₄₇	—	4	4	no	—
237	C₂×C₄×D₄₇	—	2	2	no	—
238	C₂×C₄×D₄₇	—	2	2	no	—
239	C₂×C₄×D₄₇	—	2	4	no	—
240	C₂×C₄×D₄₇	—	4	2	no	—
241	C₂×C₄×D₄₇	C₂²×C₄	1	1	yes	characteristic
242	C₂×C₄×D₄₇	C₂²×C₄	1	1	yes	characteristic
243	C₂×C₄×D₄₇	C₂²×C₄	1	1	yes	characteristic
244	C₂×C₄×D₄₇	C₂²×C₄	1	1	yes	characteristic
245	C₂×C₄×D₄₇	C₂²×C₄	1	1	yes	characteristic
246	C₂×C₄×D₄₇	C₂²×C₄	1	1	yes	characteristic
247	C₂×C₄×D₄₇	C₂²×C₄	1	1	yes	characteristic
248	C₂×C₄×D₄₇	C₂²×C₄	1	4	yes	—
249	C₂×C₄×D₄₇	C₂²×C₄	1	1	yes	characteristic
250	C₂×C₄×D₄₇	C₂²×C₄	1	1	yes	characteristic
251	C₂×C₄×D₄₇	C₂²×C₄	1	4	yes	—
252	C₂×C₄×D₄₇	C₂²×C₄	1	1	yes	characteristic
253	C₂×C₄×D₄₇	C₂⁴	1	1	yes	characteristic
254	C₂×C₄×D₄₇	C₂⁴	1	1	yes	characteristic
255	C₂×Dic₉₄	C₂²×C₄	1	4	yes	—
256	C₂×Dic₉₄	C₂²×C₄	1	2	yes	—
257	C₂×Dic₉₄	C₂²×C₄	1	2	yes	—
258	C₂×Dic₉₄	C₂²×C₄	1	4	yes	—
259	M₁₆×C₄₇	—	2	4	no	—
260	C₂×C₈×C₄₇	—	2	2	no	—
261	C₂×C₈×C₄₇	—	2	2	no	—
262	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
263	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
264	C₂×C₈×C₄₇	C₂⁴	1	4	yes	—
265	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
266	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
267	C₄⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
268	C₄⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
269	C₄⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
270	C₄⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
271	C₄⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
272	C₄⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
273	C₂²⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
274	C₄²×C₄₇	C₂²×C₄	1	1	yes	characteristic
275	C₄²×C₄₇	C₂²×C₄	1	1	yes	characteristic
276	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
277	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
278	C₄²×C₄₇	C₂⁴	1	4	yes	—
279	C₂²⋊Dic₄₇	C₂²×C₄	1	4	yes	—
280	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	4	yes	—
281	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	4	yes	—
282	C₄⋊Dic₄₇	C₂²×C₄	1	2	yes	—
283	C₄⋊Dic₄₇	C₂²×C₄	1	2	yes	—
284	C₄⋊Dic₄₇	C₂²×C₄	1	2	yes	—
285	C₄⋊Dic₄₇	C₂²×C₄	1	2	yes	—
286	C₄⋊Dic₄₇	C₂²×C₄	1	4	yes	—
287	C₄⋊Dic₄₇	C₂²×C₄	1	4	yes	—
288	Dic₄₇⋊C₄	C₂²×C₄	1	4	yes	—
289	Dic₄₇⋊C₄	C₂²×C₄	1	4	yes	—
290	Dic₄₇⋊C₄	C₂²×C₄	1	4	yes	—
291	Dic₄₇⋊C₄	C₂²×C₄	1	4	yes	—
292	Dic₄₇⋊C₄	C₂²×C₄	1	4	yes	—
293	Dic₄₇⋊C₄	C₂²×C₄	1	4	yes	—
294	Dic₄₇⋊C₄	C₂²×C₄	1	4	yes	—
295	Dic₄₇⋊C₄	C₂²×C₄	1	4	yes	—
296	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
297	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
298	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
299	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
300	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
301	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
302	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
303	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
304	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
305	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
306	C₄×Dic₄₇	C₂²×C₄	1	4	yes	—
307	C₄×Dic₄₇	C₂²×C₄	1	4	yes	—
308	C₄×Dic₄₇	C₂⁴	1	1	yes	characteristic
309	C₄×Dic₄₇	C₂⁴	1	4	yes	—
310	C₄×Dic₄₇	C₂⁴	1	1	yes	characteristic
311	#10625329	—	2	4	no	—
312	C₂×C₄₇⋊C₈	—	2	2	no	—
313	C₂×C₄₇⋊C₈	—	2	2	no	—
314	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
315	C₂×C₄₇⋊C₈	C₂⁴	1	4	yes	—
316	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
317	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
318	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
319	C₂³×C₄₇	C₂³×C₄	1	1	yes	characteristic
320	C₂²×D₄₇	—	2	2	no	—
321	C₂²×D₄₇	—	2	2	no	—
322	C₂²×D₄₇	—	4	1	no	—
323	C₂²×D₄₇	C₂³×C₄	1	1	yes	characteristic
324	C₂²×D₄₇	C₂³×C₄	1	1	yes	characteristic
325	Q₈×C₄₇	—	2	4	no	—
326	Q₈×C₄₇	—	2	4	no	—
327	C₂×C₄×C₄₇	—	2	2	no	—
328	C₂×C₄×C₄₇	—	2	2	no	—
329	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
330	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
331	C₂×C₄×C₄₇	C₂³×C₄	1	4	yes	—
332	C₂×C₄×C₄₇	C₂³×C₄	1	4	yes	—
333	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
334	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
335	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
336	C₂×C₄×C₄₇	2₋¹⁺⁴	1	2	yes	—
337	C₂×C₄×C₄₇	2₋¹⁺⁴	1	2	yes	—
338	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
339	C₂×Dic₄₇	—	2	2	no	—
340	C₂×Dic₄₇	—	2	2	no	—
341	C₂×Dic₄₇	—	4	1	no	—
342	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
343	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
344	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
345	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
346	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
347	C₂×Dic₄₇	C₂³×C₄	1	4	yes	—
348	C₂×Dic₄₇	C₂³×C₄	1	4	yes	—
349	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
350	C₄×D₄₇	—	2	2	no	—
351	C₄×D₄₇	—	2	8	no	—
352	C₄×D₄₇	—	2	2	no	—
353	C₄×D₄₇	—	2	2	no	—
354	C₄×D₄₇	—	2	2	no	—
355	C₄×D₄₇	—	2	2	no	—
356	C₄×D₄₇	—	2	2	no	—
357	C₄×D₄₇	—	2	1	no	—
358	C₄×D₄₇	—	2	1	no	—
359	C₄×D₄₇	—	2	1	no	—
360	C₄×D₄₇	—	2	1	no	—
361	C₄×D₄₇	—	2	2	no	—
362	C₄×D₄₇	—	4	1	no	—
363	C₄×D₄₇	—	4	1	no	—
364	C₄×D₄₇	—	4	4	no	—
365	C₄×D₄₇	#131	1	4	yes	—
366	Dic₉₄	—	2	4	no	—
367	Dic₉₄	—	2	4	no	—
368	Dic₉₄	—	2	8	no	—
369	Dic₉₄	—	4	4	no	—
370	C₈×C₄₇	—	2	1	no	—
371	C₈×C₄₇	—	2	1	no	—
372	C₈×C₄₇	—	2	1	no	—
373	C₈×C₄₇	—	2	1	no	—
374	C₈×C₄₇	—	2	4	no	—
375	C₄₇⋊C₈	—	2	1	no	—
376	C₄₇⋊C₈	—	2	1	no	—
377	C₄₇⋊C₈	—	2	1	no	—
378	C₄₇⋊C₈	—	2	1	no	—
379	C₄₇⋊C₈	—	2	4	no	—
380	#60250	—	47	1	no	maximal, Sylow
381	C₂²×C₄₇	—	2	1	no	—
382	C₂²×C₄₇	—	2	1	no	—
383	C₂²×C₄₇	#519	1	2	yes	—
384	C₂²×C₄₇	C₂⁴×C₄	1	1	yes	characteristic
385	C₂×D₄₇	—	2	1	no	—
386	C₂×D₄₇	—	2	1	no	—
387	C₂×D₄₇	—	2	1	no	—
388	C₂×D₄₇	—	2	1	no	—
389	C₂×D₄₇	—	2	1	no	—
390	C₂×D₄₇	—	4	4	no	—
391	C₂×D₄₇	C₂×#131	1	2	yes	—
392	C₄×C₄₇	—	2	4	no	—
393	C₄×C₄₇	—	2	1	no	—
394	C₄×C₄₇	—	2	4	no	—
395	C₄×C₄₇	—	2	1	no	—
396	C₄×C₄₇	#519	1	2	yes	—
397	C₄×C₄₇	C₂×#131	1	2	yes	—
398	C₄×C₄₇	#568	1	2	yes	—
399	C₄×C₄₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
400	C₄×C₄₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
401	Dic₄₇	—	2	1	no	—
402	Dic₄₇	—	2	1	no	—
403	Dic₄₇	—	2	4	no	—
404	Dic₄₇	—	2	1	no	—
405	Dic₄₇	—	2	4	no	—
406	Dic₄₇	—	2	1	no	—
407	Dic₄₇	—	2	1	no	—
408	Dic₄₇	C₂×#131	1	2	yes	—
409	C₂×#533	—	47	1	no	—
410	#2986	—	47	2	no	—
411	#2986	—	47	2	no	—
412	#2985	—	47	2	no	—
413	#2985	—	47	2	no	—
414	#2984	—	47	2	no	—
415	#2984	—	47	2	no	—
416	#2983	—	47	2	no	—
417	#2982	—	47	2	no	—
418	#2962	—	47	2	no	—
419	#2962	—	47	2	no	—
420	#2960	—	47	1	no	—
421	#2960	—	47	1	no	—
422	#2960	—	47	1	no	—
423	#2960	D₄₇	1	1	yes	characteristic, complemented
424	#2924	—	47	2	no	—
425	#2924	—	47	2	no	—
426	#2920	—	47	1	no	—
427	C₂×#431	—	47	1	no	—
428	C₂×C₄₇	—	2	2	no	—
429	C₂×C₄₇	C₂×#519	1	1	yes	characteristic
430	C₂×C₄₇	C₂²×#131	1	1	yes	characteristic
431	C₂×C₄₇	C₂×#568	1	1	yes	characteristic
432	D₄₇	—	2	2	no	—
433	D₄₇	—	4	1	no	—
434	#533	—	47	1	no	—
435	#533	—	47	1	no	—
436	#533	—	47	2	no	—
437	#533	—	47	2	no	—
438	#533	—	47	2	no	—
439	#533	—	47	2	no	—
440	#533	—	47	2	no	—
441	#533	—	47	2	no	—
442	#533	—	47	1	no	—
443	#533	C₂×D₄₇	1	1	yes	characteristic
444	C₂×C₄⋊Q₈	—	47	1	no	—
445	C₂×C₄⋊Q₈	—	47	1	no	—
446	C₂×#125	—	47	2	no	—
447	C₂×C₂²⋊Q₈	—	47	2	no	—
448	C₂×C₂²⋊Q₈	—	47	2	no	—
449	C₂×C₄×Q₈	—	47	2	no	—
450	C₂×C₄×Q₈	—	47	2	no	—
451	C₂×#117	—	47	2	no	—
452	C₂²×C₄²	—	47	1	no	—
453	#446	—	47	2	no	—
454	#446	—	47	2	no	—
455	#446	—	47	2	no	—
456	#446	—	47	2	no	—
457	#446	—	47	4	no	—
458	#446	—	47	4	no	—
459	#446	—	47	4	no	—
460	#446	—	47	4	no	—
461	#446	—	47	4	no	—
462	#446	—	47	2	no	—
463	#446	—	47	2	no	—
464	#446	—	47	4	no	—
465	#446	C₂×D₄₇	1	2	yes	complemented
466	#446	C₂×D₄₇	1	2	yes	complemented
467	C₈×Q₈	—	47	2	no	—
468	C₈×Q₈	—	47	2	no	—
469	C₈×Q₈	—	47	2	no	—
470	C₈×Q₈	—	47	2	no	—
471	C₈×Q₈	—	47	4	no	—
472	C₈×Q₈	—	47	2	no	—
473	C₈×Q₈	—	47	2	no	—
474	C₈×Q₈	—	47	4	no	—
475	C₈×Q₈	C₂×D₄₇	1	2	yes	complemented
476	C₈×Q₈	C₂×D₄₇	1	2	yes	complemented
477	#433	—	47	4	no	—
478	#433	—	47	4	no	—
479	#433	—	47	4	no	—
480	#433	—	47	4	no	—
481	#432	—	47	2	no	—
482	#432	—	47	2	no	—
483	#432	—	47	4	no	—
484	#432	—	47	4	no	—
485	#431	—	47	2	no	—
486	#431	—	47	2	no	—
487	#431	—	47	4	no	—
488	#431	—	47	1	no	—
489	#431	—	47	1	no	—
490	#431	—	47	1	no	—
491	#431	—	47	1	no	—
492	#431	—	47	1	no	—
493	#431	—	47	1	no	—
494	#431	—	47	1	no	—
495	#431	—	47	1	no	—
496	#431	—	47	4	no	—
497	#424	—	47	2	no	—
498	#424	—	47	2	no	—
499	#424	—	47	2	no	—
500	#424	C₂×D₄₇	1	2	yes	—
501	#423	—	47	1	no	—
502	#423	C₂×D₄₇	1	1	yes	characteristic
503	C₂×C₄⋊C₈	—	47	1	no	—
504	C₂×C₄⋊C₈	—	47	1	no	—
505	#407	—	47	2	no	—
506	C₂×C₂²⋊C₈	—	47	1	no	—
507	C₂×C₂²⋊C₈	—	47	1	no	—
508	#405	—	47	2	no	—
509	#405	—	47	2	no	—
510	#405	—	47	2	no	—
511	#405	C₂×D₄₇	1	2	yes	—
512	C₄×M₁₆	—	47	2	no	—
513	C₂×C₄×C₈	—	47	1	no	—
514	C₂×C₄×C₈	C₂×D₄₇	1	1	yes	characteristic
515	C₄₇	#60250	1	1	yes	characteristic, complemented, Sylow
516	C₂²×Q₈	—	47	2	no	—
517	C₂²×Q₈	—	47	2	no	—
518	C₂³×C₄	—	47	1	no	—
519	C₂³×C₄	—	47	1	no	—
520	C₂³×C₄	—	47	1	no	—
521	C₂×M₁₆	—	47	2	no	—
522	C₂×M₁₆	C₂²×D₄₇	1	2	yes	—
523	C₂²×C₈	—	47	1	no	—
524	C₂²×C₈	—	47	1	no	—
525	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
526	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
527	C₄⋊Q₈	—	47	2	no	—
528	C₄⋊Q₈	—	47	2	no	—
529	C₄⋊Q₈	—	47	2	no	—
530	C₄⋊Q₈	—	47	2	no	—
531	C₄⋊Q₈	—	47	2	no	—
532	C₄⋊Q₈	—	47	2	no	—
533	C₄⋊Q₈	—	47	1	no	—
534	C₄⋊Q₈	—	47	1	no	—
535	C₄⋊Q₈	C₄×D₄₇	1	1	yes	characteristic
536	C₄⋊Q₈	C₄×D₄₇	1	1	yes	characteristic
537	#125	—	47	4	no	—
538	#125	—	47	4	no	—
539	#125	—	47	2	no	—
540	#125	—	47	2	no	—
541	#125	—	47	2	no	—
542	#125	C₄×D₄₇	1	2	yes	—
543	C₂²⋊Q₈	—	47	2	no	—
544	C₂²⋊Q₈	—	47	2	no	—
545	C₂²⋊Q₈	—	47	2	no	—
546	C₂²⋊Q₈	—	47	2	no	—
547	C₂²⋊Q₈	—	47	4	no	—
548	C₂²⋊Q₈	—	47	4	no	—
549	C₂²⋊Q₈	—	47	2	no	—
550	C₂²⋊Q₈	—	47	2	no	—
551	C₂²⋊Q₈	—	47	4	no	—
552	C₂²⋊Q₈	—	47	4	no	—
553	C₂²⋊Q₈	C₄×D₄₇	1	2	yes	—
554	C₂²⋊Q₈	C₄×D₄₇	1	2	yes	—
555	C₄×Q₈	—	47	2	no	—
556	C₄×Q₈	—	47	2	no	—
557	C₄×Q₈	—	47	2	no	—
558	C₄×Q₈	—	47	2	no	—
559	C₄×Q₈	—	47	4	no	—
560	C₄×Q₈	—	47	4	no	—
561	C₄×Q₈	—	47	4	no	—
562	C₄×Q₈	—	47	2	no	—
563	C₄×Q₈	—	47	2	no	—
564	C₄×Q₈	—	47	4	no	—
565	C₄×Q₈	C₂²×D₄₇	1	2	yes	—
566	C₄×Q₈	C₂²×D₄₇	1	2	yes	—
567	#117	—	47	2	no	—
568	#117	—	47	2	no	—
569	#117	—	47	2	no	—
570	#117	—	47	4	no	—
571	#117	—	47	4	no	—
572	#117	C₂²×D₄₇	1	2	yes	—
573	C₂×C₄⋊C₄	—	47	2	no	—
574	C₂×C₄⋊C₄	—	47	2	no	—
575	C₂×C₄⋊C₄	—	47	4	no	—
576	C₂×C₄⋊C₄	—	47	4	no	—
577	C₂×C₄⋊C₄	—	47	2	no	—
578	C₂×C₄⋊C₄	—	47	2	no	—
579	C₂×C₂²⋊C₄	—	47	4	no	—
580	C₂×C₄²	—	47	1	no	—
581	C₂×C₄²	—	47	1	no	—
582	C₂×C₄²	—	47	1	no	—
583	C₂×C₄²	—	47	1	no	—
584	C₂×C₄²	—	47	1	no	—
585	C₂×C₄²	—	47	1	no	—
586	C₂×C₄²	—	47	1	no	—
587	C₂×C₄²	—	47	4	no	—
588	C₂×C₄²	—	47	1	no	—
589	C₂×C₄²	—	47	1	no	—
590	C₂×C₄²	—	47	1	no	—
591	C₂×C₄²	—	47	1	no	—
592	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
593	C₄⋊C₈	—	47	1	no	—
594	C₄⋊C₈	—	47	1	no	—
595	C₄⋊C₈	—	47	1	no	—
596	C₄⋊C₈	—	47	1	no	—
597	C₄⋊C₈	—	47	1	no	—
598	C₄⋊C₈	—	47	1	no	—
599	C₄⋊C₈	—	47	1	no	—
600	C₄⋊C₈	—	47	1	no	—
601	C₄⋊C₈	—	47	4	no	—
602	C₄⋊C₈	—	47	4	no	—
603	C₄⋊C₈	—	47	4	no	—
604	C₄⋊C₈	—	47	4	no	—
605	C₄⋊C₈	—	47	2	no	—
606	C₄⋊C₈	—	47	2	no	—
607	C₄⋊C₈	—	47	4	no	—
608	C₄⋊C₈	—	47	4	no	—
609	C₄⋊C₈	C₂²×D₄₇	1	2	yes	—
610	C₄⋊C₈	C₂²×D₄₇	1	2	yes	—
611	C₄⋊C₈	C₂²×D₄₇	1	4	yes	—
612	C₄⋊C₈	C₂²×D₄₇	1	4	yes	—
613	C₂²⋊C₈	—	47	1	no	—
614	C₂²⋊C₈	—	47	1	no	—
615	C₂²⋊C₈	—	47	1	no	—
616	C₂²⋊C₈	—	47	1	no	—
617	C₂²⋊C₈	—	47	1	no	—
618	C₂²⋊C₈	—	47	1	no	—
619	C₂²⋊C₈	—	47	1	no	—
620	C₂²⋊C₈	—	47	1	no	—
621	C₂²⋊C₈	—	47	4	no	—
622	C₂²⋊C₈	—	47	4	no	—
623	#97	—	47	4	no	—
624	#97	—	47	4	no	—
625	#97	—	47	4	no	—
626	#97	—	47	4	no	—
627	#97	C₂²×D₄₇	1	4	yes	—
628	C₄×C₈	—	47	4	no	—
629	C₄×C₈	—	47	4	no	—
630	C₄×C₈	—	47	4	no	—
631	C₄×C₈	—	47	1	no	—
632	C₄×C₈	—	47	1	no	—
633	C₄×C₈	—	47	1	no	—
634	C₄×C₈	—	47	1	no	—
635	C₄×C₈	—	47	4	no	—
636	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
637	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
638	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
639	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
640	C₄×C₈	C₂²×D₄₇	1	4	yes	—
641	C₂⁴	—	47	1	no	—
642	C₂×Q₈	—	47	4	no	—
643	C₂×Q₈	—	47	2	no	—
644	C₂×Q₈	—	47	2	no	—
645	C₂×Q₈	—	47	4	no	—
646	C₂×Q₈	—	94	8	no	—
647	C₂×Q₈	—	188	4	no	—
648	C₂×Q₈	C₂×C₄×D₄₇	1	2	yes	—
649	C₂×Q₈	C₂×C₄×D₄₇	1	2	yes	—
650	C₂²×C₄	—	47	1	no	—
651	C₂²×C₄	—	47	1	no	—
652	C₂²×C₄	—	47	1	no	—
653	C₂²×C₄	—	47	1	no	—
654	C₂²×C₄	—	47	1	no	—
655	C₂²×C₄	—	47	1	no	—
656	C₂²×C₄	—	47	1	no	—
657	C₂²×C₄	—	47	1	no	—
658	C₂²×C₄	—	47	1	no	—
659	C₂²×C₄	—	47	1	no	—
660	C₂²×C₄	—	47	1	no	—
661	C₂²×C₄	—	47	4	no	—
662	C₂²×C₄	—	47	1	no	—
663	C₂²×C₄	—	47	1	no	—
664	C₂²×C₄	—	47	1	no	—
665	C₂²×C₄	—	47	1	no	—
666	C₂²×C₄	—	47	4	no	—
667	C₂²×C₄	—	94	4	no	—
668	C₂²×C₄	—	94	2	no	—
669	C₂²×C₄	—	94	2	no	—
670	C₂²×C₄	—	188	2	no	—
671	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
672	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
673	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
674	M₁₆	—	2	4	no	—
675	M₁₆	—	94	4	no	—
676	C₂×C₈	—	2	2	no	—
677	C₂×C₈	—	2	2	no	—
678	C₂×C₈	—	47	1	no	—
679	C₂×C₈	—	47	1	no	—
680	C₂×C₈	—	47	4	no	—
681	C₂×C₈	—	47	1	no	—
682	C₂×C₈	—	47	1	no	—
683	C₂×C₈	—	94	2	no	—
684	C₂×C₈	—	94	2	no	—
685	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
686	C₂×C₈	C₂³×D₄₇	1	4	yes	—
687	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
688	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
689	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
690	C₄⋊C₄	—	47	4	no	—
691	C₄⋊C₄	—	47	4	no	—
692	C₄⋊C₄	—	47	4	no	—
693	C₄⋊C₄	—	47	4	no	—
694	C₄⋊C₄	—	47	4	no	—
695	C₄⋊C₄	—	47	4	no	—
696	C₄⋊C₄	—	47	4	no	—
697	C₄⋊C₄	—	47	4	no	—
698	C₄⋊C₄	—	47	2	no	—
699	C₄⋊C₄	—	47	2	no	—
700	C₄⋊C₄	—	47	4	no	—
701	C₄⋊C₄	—	47	4	no	—
702	C₄⋊C₄	—	47	2	no	—
703	C₄⋊C₄	—	47	2	no	—
704	C₄⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
705	C₄⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
706	C₄⋊C₄	C₂×C₄×D₄₇	1	4	yes	—
707	C₄⋊C₄	C₂×C₄×D₄₇	1	4	yes	—
708	C₄⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
709	C₄⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
710	C₂²⋊C₄	—	47	4	no	—
711	C₂²⋊C₄	—	47	4	no	—
712	C₂²⋊C₄	—	47	4	no	—
713	C₂²⋊C₄	C₂×C₄×D₄₇	1	4	yes	—
714	C₄²	—	47	1	no	—
715	C₄²	—	47	1	no	—
716	C₄²	—	47	1	no	—
717	C₄²	—	47	1	no	—
718	C₄²	—	47	1	no	—
719	C₄²	—	47	1	no	—
720	C₄²	—	47	1	no	—
721	C₄²	—	47	1	no	—
722	C₄²	—	47	1	no	—
723	C₄²	—	47	1	no	—
724	C₄²	—	47	4	no	—
725	C₄²	—	47	4	no	—
726	C₄²	—	47	1	no	—
727	C₄²	—	47	4	no	—
728	C₄²	—	47	1	no	—
729	C₄²	C₂×C₄×D₄₇	1	1	yes	characteristic
730	C₄²	C₂×C₄×D₄₇	1	1	yes	characteristic
731	C₄²	C₂³×D₄₇	1	1	yes	characteristic
732	C₄²	C₂³×D₄₇	1	1	yes	characteristic
733	C₄²	C₂³×D₄₇	1	4	yes	—
734	C₂³	—	47	1	no	—
735	C₂³	—	47	1	no	—
736	C₂³	—	94	2	no	—
737	C₂³	—	94	2	no	—
738	C₂³	—	188	1	no	—
739	C₂³	C₂²×C₄×D₄₇	1	1	yes	characteristic
740	Q₈	—	2	4	no	—
741	Q₈	—	2	4	no	—
742	Q₈	—	94	8	no	—
743	Q₈	—	94	4	no	—
744	Q₈	—	94	4	no	—
745	Q₈	—	188	4	no	—
746	C₂×C₄	—	2	2	no	—
747	C₂×C₄	—	2	2	no	—
748	C₂×C₄	—	47	1	no	—
749	C₂×C₄	—	47	4	no	—
750	C₂×C₄	—	47	1	no	—
751	C₂×C₄	—	47	1	no	—
752	C₂×C₄	—	47	1	no	—
753	C₂×C₄	—	47	1	no	—
754	C₂×C₄	—	47	1	no	—
755	C₂×C₄	—	47	4	no	—
756	C₂×C₄	—	47	4	no	—
757	C₂×C₄	—	94	2	no	—
758	C₂×C₄	—	94	2	no	—
759	C₂×C₄	—	94	8	no	—
760	C₂×C₄	—	94	2	no	—
761	C₂×C₄	—	94	2	no	—
762	C₂×C₄	—	94	2	no	—
763	C₂×C₄	—	94	2	no	—
764	C₂×C₄	—	94	2	no	—
765	C₂×C₄	—	94	2	no	—
766	C₂×C₄	—	94	2	no	—
767	C₂×C₄	—	94	1	no	—
768	C₂×C₄	—	94	1	no	—
769	C₂×C₄	—	94	1	no	—
770	C₂×C₄	—	94	1	no	—
771	C₂×C₄	—	188	1	no	—
772	C₂×C₄	—	188	1	no	—
773	C₂×C₄	—	188	4	no	—
774	C₂×C₄	—	188	1	no	—
775	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
776	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
777	C₂×C₄	C₂²×C₄×D₄₇	1	4	yes	—
778	C₂×C₄	C₂²×C₄×D₄₇	1	4	yes	—
779	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
780	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
781	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
782	C₂×C₄	#13094071	1	2	yes	—
783	C₂×C₄	#13094072	1	2	yes	—
784	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
785	C₈	—	2	1	no	—
786	C₈	—	2	1	no	—
787	C₈	—	2	4	no	—
788	C₈	—	2	1	no	—
789	C₈	—	2	1	no	—
790	C₈	—	94	1	no	—
791	C₈	—	94	1	no	—
792	C₈	—	94	1	no	—
793	C₈	—	94	1	no	—
794	C₈	—	94	4	no	—
795	C₂²	—	2	1	no	—
796	C₂²	—	2	1	no	—
797	C₂²	—	47	2	no	—
798	C₂²	—	94	1	no	—
799	C₂²	—	94	1	no	—
800	C₂²	—	94	1	no	—
801	C₂²	—	94	1	no	—
802	C₂²	—	94	1	no	—
803	C₂²	—	188	4	no	—
804	C₂²	#15689599	1	2	yes	—
805	C₂²	C₂³×C₄×D₄₇	1	1	yes	characteristic
806	C₄	—	2	1	no	—
807	C₄	—	2	4	no	—
808	C₄	—	2	1	no	—
809	C₄	—	2	4	no	—
810	C₄	—	47	2	no	—
811	C₄	—	94	1	no	—
812	C₄	—	94	4	no	—
813	C₄	—	94	1	no	—
814	C₄	—	94	1	no	—
815	C₄	—	94	4	no	—
816	C₄	—	94	1	no	—
817	C₄	—	94	1	no	—
818	C₄	#15689599	1	2	yes	—
819	C₄	#131×D₄₇	1	2	yes	—
820	C₄	#15689888	1	2	yes	—
821	C₄	C₂×#13094071	1	1	yes	characteristic
822	C₄	C₂×#13094072	1	1	yes	characteristic
823	C₂	—	2	2	no	—
824	C₂	—	94	2	no	—
825	C₂	—	188	1	no	—
826	C₂	C₂×#15689599	1	1	yes	characteristic
827	C₂	C₂×#131×D₄₇	1	1	yes	characteristic
828	C₂	C₂×#15689888	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₄₇
commutator, socle	C₂²×C₄₇	C₂⁴×C₄
Fitting	C₄₇×#2960	C₂
prime radical	C₂³×D₄₇	C₂²×C₄
cosocle	C₂×C₄×C₄₇	C₂⁵
hypercenter	#2960	D₄₇
hypocenter	C₄₇	#60250
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂×C₄ ◁ #2960

Complements

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

N	H ≅ G/N	type
2. #20252488	C₂	semidirect
3. #20252486	C₂	semidirect
4. #20252484	C₂	semidirect
5. #20252479	C₂	semidirect
6. #20252476	C₂	semidirect
7. #20252474	C₂	semidirect
8. #20252470	C₂	semidirect
9. #20252467	C₂	semidirect
10. #20252334	C₂	semidirect
11. #20252332	C₂	semidirect
12. #20252323	C₂	semidirect
13. #20252322	C₂	semidirect
14. #20252318	C₂	semidirect
19. C₄₇×#2960	C₂	semidirect
38. #15689254	C₂²	semidirect
39. #15689254	C₂²	semidirect
40. #15689253	C₂²	semidirect
41. #15689253	C₂²	semidirect
42. #15689253	C₂²	semidirect
43. #15689252	C₂²	semidirect
44. #15689252	C₂²	semidirect
45. #15689251	C₂²	semidirect
46. #15689251	C₂²	semidirect
47. #15689250	C₂²	semidirect
48. #15689250	C₂²	semidirect
49. #15689250	C₂²	semidirect
50. Q₈×C₄₇⋊C₈	C₂²	semidirect
51. Q₈×C₄₇⋊C₈	C₂²	semidirect
52. C₈×Dic₉₄	C₂²	semidirect
53. C₈×Dic₉₄	C₂²	semidirect
54. C₈×Dic₉₄	C₂²	semidirect
55. #15689247	C₂²	semidirect
56. #15689247	C₂²	semidirect
57. #15689247	C₂²	semidirect
93. C₄₇×#446	C₂²	semidirect
94. C₄₇×#446	C₂²	semidirect
95. C₈×Q₈×C₄₇	C₂²	semidirect
96. C₈×Q₈×C₄₇	C₂²	semidirect
423. #2960	D₄₇	semidirect
465. #446	C₂×D₄₇	semidirect
466. #446	C₂×D₄₇	semidirect
475. C₈×Q₈	C₂×D₄₇	semidirect
476. C₈×Q₈	C₂×D₄₇	semidirect
515. C₄₇	#60250	semidirect

Maximal subgroups

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

subgroup	index
#533×D₄₇	2
#20252488	2
#20252486	2
#20252484	2
#20252479	2
#20252476	2
#20252474	2
#20252470	2
#20252467	2
#20252334	2
#20252332	2
#20252323	2
#20252322	2
#20252318	2
#20252045	2
#20252043	2
#20252020	2
C₂×#15689174	2
C₄₇×#2960	2
#60250	47