Subgroups — C₄₇×#36902 #26076600

Order 12032.

2268 conjugacy classes of subgroups.

The subgroup lattice has 1018 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄₇×#2847	C₂	1	2	yes	maximal, complemented
2	C₄₇×#2781	C₂	1	2	yes	maximal, complemented
3	C₄₇×#2748	C₂	1	1	yes	maximal, characteristic, complemented
4	C₄₇×#2714	C₂	1	2	yes	maximal, complemented
5	C₄₇×#2708	C₂	1	2	yes	maximal, complemented
6	C₄₇×#2691	C₂	1	2	yes	maximal, complemented
7	C₄₇×#2679	C₂	1	1	yes	maximal, characteristic, complemented
8	C₄₇×#2678	C₂	1	2	yes	maximal, complemented
9	C₄₇×#2669	C₂	1	1	yes	maximal, characteristic, complemented
10	C₄₇×#2669	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₇×#2668	C₂	1	2	yes	maximal, complemented
12	C₄₇×#2648	C₂	1	2	yes	maximal, complemented
13	C₄₇×#2531	C₂	1	2	yes	maximal, complemented
14	C₄₇×#2467	C₂	1	2	yes	maximal, complemented
15	C₄₇×#2464	C₂	1	2	yes	maximal, complemented
16	C₄₇×#2424	C₂	1	2	yes	maximal, complemented
17	C₄₇×#2328	C₂	1	1	yes	maximal, characteristic, complemented
18	C₄₇×#2321	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄×#120×C₄₇	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂⁴×C₄×C₄₇	C₂²	1	1	yes	characteristic, complemented
21	C₂×#127×C₄₇	C₂²	1	1	yes	characteristic
22	C₂×#126×C₄₇	C₂²	1	2	yes	complemented
23	C₂×#123×C₄₇	C₂²	1	2	yes	complemented
24	C₂×#121×C₄₇	C₂²	1	2	yes	—
25	C₂×#121×C₄₇	C₂²	1	2	yes	—
26	C₂×#121×C₄₇	C₂²	1	2	yes	—
27	C₂×#121×C₄₇	C₂²	1	2	yes	—
28	C₂×#121×C₄₇	C₂²	1	2	yes	—
29	C₂×#120×C₄₇	C₂²	1	1	yes	characteristic
30	C₂×#120×C₄₇	C₂²	1	1	yes	characteristic
31	C₂×#120×C₄₇	C₂²	1	2	yes	—
32	C₂×#120×C₄₇	C₂²	1	2	yes	—
33	C₂×#120×C₄₇	C₂²	1	2	yes	complemented
34	C₂×#120×C₄₇	C₂²	1	2	yes	complemented
35	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
36	C₂×C₄×D₄×C₄₇	C₂²	1	2	yes	—
37	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic, complemented
38	C₂²×C₂²⋊C₄×C₄₇	C₂²	1	1	yes	characteristic, complemented
39	C₄₇×#400	C₂²	1	2	yes	complemented
40	C₄₇×#399	C₂²	1	2	yes	complemented
41	C₄₇×#398	C₂²	1	2	yes	complemented
42	C₄₇×#398	C₂²	1	2	yes	complemented
43	C₄₇×#397	C₂²	1	2	yes	complemented
44	C₄₇×#397	C₂²	1	2	yes	complemented
45	C₄₇×#397	C₂²	1	2	yes	complemented
46	C₄₇×#397	C₂²	1	2	yes	complemented
47	C₄₇×#396	C₂²	1	2	yes	complemented
48	C₄₇×#396	C₂²	1	2	yes	complemented
49	C₄₇×#394	C₂²	1	2	yes	—
50	C₄₇×#394	C₂²	1	2	yes	—
51	C₄₇×#394	C₂²	1	2	yes	—
52	C₄₇×#394	C₂²	1	2	yes	—
53	C₄₇×#394	C₂²	1	2	yes	—
54	C₄₇×#394	C₂²	1	2	yes	complemented
55	C₄₇×#394	C₂²	1	2	yes	complemented
56	C₄₇×#394	C₂²	1	2	yes	complemented
57	C₄₇×#394	C₂²	1	2	yes	complemented
58	C₄₇×#392	C₂²	1	2	yes	—
59	C₄₇×#392	C₂²	1	2	yes	—
60	C₄₇×#392	C₂²	1	2	yes	—
61	C₄₇×#392	C₂²	1	2	yes	complemented
62	C₄₇×#392	C₂²	1	2	yes	complemented
63	C₄₇×#390	C₂²	1	2	yes	—
64	C₄₇×#390	C₂²	1	2	yes	—
65	C₄₇×#390	C₂²	1	1	yes	characteristic
66	C₄₇×#390	C₂²	1	1	yes	characteristic, complemented
67	C₄₇×#390	C₂²	1	2	yes	complemented
68	C₄₇×#390	C₂²	1	2	yes	complemented
69	C₄₇×#388	C₂²	1	2	yes	complemented
70	C₄₇×#388	C₂²	1	2	yes	complemented
71	C₄₇×#388	C₂²	1	2	yes	complemented
72	C₄₇×#388	C₂²	1	2	yes	complemented
73	C₄₇×#388	C₂²	1	2	yes	complemented
74	C₄₇×#388	C₂²	1	2	yes	complemented
75	C₄₇×#388	C₂²	1	2	yes	complemented
76	C₄₇×#387	C₂²	1	2	yes	complemented
77	C₄₇×#387	C₂²	1	2	yes	complemented
78	C₄₇×#387	C₂²	1	2	yes	complemented
79	C₄₇×#386	C₂²	1	2	yes	—
80	C₄₇×#386	C₂²	1	2	yes	—
81	C₄₇×#386	C₂²	1	2	yes	—
82	C₄₇×#386	C₂²	1	1	yes	characteristic
83	C₄₇×#386	C₂²	1	2	yes	—
84	C₄₇×#386	C₂²	1	1	yes	characteristic
85	C₄₇×#386	C₂²	1	2	yes	complemented
86	C₄₇×#386	C₂²	1	2	yes	complemented
87	C₄₇×#386	C₂²	1	2	yes	complemented
88	C₄₇×#386	C₂²	1	2	yes	complemented
89	C₄₇×#386	C₂²	1	2	yes	complemented
90	C₄₇×#386	C₂²	1	2	yes	complemented
91	C₄₇×#386	C₂²	1	2	yes	complemented
92	C₄₇×#385	C₂²	1	2	yes	complemented
93	C₄₇×#385	C₂²	1	1	yes	characteristic, complemented
94	C₄₇×#385	C₂²	1	1	yes	characteristic, complemented
95	C₄₇×#385	C₂²	1	2	yes	complemented
96	C₄₇×#385	C₂²	1	2	yes	complemented
97	C₄₇×#382	C₂²	1	1	yes	characteristic, complemented
98	C₄₇×#380	C₂²	1	2	yes	complemented
99	C₄₇×#380	C₂²	1	2	yes	complemented
100	C₄₇×#380	C₂²	1	2	yes	complemented
101	C₄₇×#379	C₂²	1	1	yes	characteristic, complemented
102	C₄₇×#379	C₂²	1	1	yes	characteristic, complemented
103	C₄×C₂²⋊C₄×C₄₇	C₂²	1	2	yes	complemented
104	C₄×C₂²⋊C₄×C₄₇	C₂²	1	1	yes	characteristic, complemented
105	C₄×C₂²⋊C₄×C₄₇	C₂²	1	1	yes	characteristic, complemented
106	C₄₇×#376	C₂²	1	1	yes	characteristic, complemented
107	C₂⁵×C₄₇	C₂³	1	1	yes	characteristic
108	C₂⁵×C₄₇	C₂³	1	1	yes	characteristic
109	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
110	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
111	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
112	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
113	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
114	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
115	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
116	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
117	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
118	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
119	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
120	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
121	C₂³×C₄×C₄₇	—	4	4	no	—
122	C₂³×C₄×C₄₇	—	4	2	no	—
123	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
124	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
125	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
126	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
127	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
128	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
129	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
130	#127×C₄₇	—	2	4	no	—
131	#126×C₄₇	—	4	4	no	—
132	#123×C₄₇	—	4	4	no	—
133	#121×C₄₇	—	4	4	no	—
134	#121×C₄₇	—	4	4	no	—
135	#121×C₄₇	—	4	4	no	—
136	#121×C₄₇	—	4	4	no	—
137	#121×C₄₇	—	4	4	no	—
138	#120×C₄₇	—	2	4	no	—
139	#120×C₄₇	—	2	4	no	—
140	#120×C₄₇	—	4	4	no	—
141	#120×C₄₇	—	4	4	no	—
142	#120×C₄₇	—	4	4	no	—
143	#120×C₄₇	—	4	4	no	—
144	C₄×D₄×C₄₇	—	4	2	no	—
145	C₄×D₄×C₄₇	—	4	2	no	—
146	C₄×D₄×C₄₇	—	4	4	no	—
147	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
148	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
149	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
150	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
151	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
152	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
153	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
154	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
155	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
156	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
157	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
158	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
159	C₂×C₂²⋊C₄×C₄₇	—	4	2	no	—
160	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
161	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
162	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
163	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
164	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
165	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
166	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
167	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
168	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
169	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
170	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
171	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
172	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
173	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
174	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
175	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
176	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
177	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
178	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
179	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
180	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
181	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
182	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
183	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
184	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
185	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
186	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
187	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
188	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
189	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
190	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
191	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
192	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
193	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
194	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
195	C₂×C₄²×C₄₇	C₂³	1	2	yes	—
196	C₂×C₄²×C₄₇	C₂³	1	2	yes	—
197	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
198	#95×C₄₇	C₂³	1	2	yes	—
199	#95×C₄₇	C₂³	1	2	yes	—
200	#95×C₄₇	C₂³	1	2	yes	—
201	#95×C₄₇	C₂³	1	2	yes	—
202	#95×C₄₇	C₂³	1	2	yes	—
203	#95×C₄₇	C₂³	1	2	yes	—
204	#95×C₄₇	C₂³	1	2	yes	—
205	#95×C₄₇	C₂³	1	2	yes	—
206	#95×C₄₇	C₂³	1	2	yes	—
207	#95×C₄₇	C₂³	1	2	yes	—
208	#95×C₄₇	C₂³	1	2	yes	—
209	#95×C₄₇	C₂³	1	2	yes	—
210	#95×C₄₇	C₂³	1	2	yes	—
211	#95×C₄₇	C₂³	1	2	yes	—
212	#95×C₄₇	C₂³	1	2	yes	—
213	#95×C₄₇	C₂³	1	2	yes	—
214	C₂⁴×C₄₇	—	2	2	no	—
215	C₂⁴×C₄₇	—	2	4	no	—
216	C₂⁴×C₄₇	—	2	2	no	—
217	C₂⁴×C₄₇	—	4	1	no	—
218	C₂⁴×C₄₇	—	4	2	no	—
219	C₂⁴×C₄₇	—	4	1	no	—
220	C₂⁴×C₄₇	—	4	1	no	—
221	C₂⁴×C₄₇	—	4	1	no	—
222	C₂⁴×C₄₇	—	4	2	no	—
223	C₂⁴×C₄₇	—	4	2	no	—
224	C₂⁴×C₄₇	C₂⁴	1	2	yes	—
225	C₂⁴×C₄₇	C₂⁴	1	2	yes	—
226	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
227	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
228	C₂⁴×C₄₇	C₂⁴	1	2	yes	—
229	C₂×D₄×C₄₇	—	2	4	no	—
230	C₂×D₄×C₄₇	—	2	4	no	—
231	C₂×D₄×C₄₇	—	2	4	no	—
232	C₂×D₄×C₄₇	—	2	4	no	—
233	C₂×D₄×C₄₇	—	2	4	no	—
234	C₂×D₄×C₄₇	—	2	4	no	—
235	C₂×D₄×C₄₇	—	2	4	no	—
236	C₂×D₄×C₄₇	—	2	4	no	—
237	C₂×D₄×C₄₇	—	2	4	no	—
238	C₂×D₄×C₄₇	—	2	2	no	—
239	C₂×D₄×C₄₇	—	2	4	no	—
240	C₂×D₄×C₄₇	—	4	1	no	—
241	C₂×D₄×C₄₇	—	4	1	no	—
242	C₂×D₄×C₄₇	—	4	2	no	—
243	C₂×D₄×C₄₇	—	4	1	no	—
244	C₂×D₄×C₄₇	—	4	1	no	—
245	C₂×D₄×C₄₇	—	4	2	no	—
246	C₂×D₄×C₄₇	—	4	2	no	—
247	C₂×D₄×C₄₇	—	4	2	no	—
248	C₂×D₄×C₄₇	—	4	2	no	—
249	C₂×D₄×C₄₇	—	4	2	no	—
250	C₂×D₄×C₄₇	—	4	2	no	—
251	C₂×D₄×C₄₇	—	4	2	no	—
252	C₂×D₄×C₄₇	—	4	2	no	—
253	C₂×D₄×C₄₇	—	4	2	no	—
254	C₂×D₄×C₄₇	—	4	2	no	—
255	C₂×D₄×C₄₇	—	4	2	no	—
256	C₂×D₄×C₄₇	—	4	2	no	—
257	C₂×D₄×C₄₇	—	4	2	no	—
258	C₂×D₄×C₄₇	—	4	2	no	—
259	C₂×D₄×C₄₇	—	4	2	no	—
260	C₂×D₄×C₄₇	—	4	2	no	—
261	C₂×D₄×C₄₇	—	4	2	no	—
262	C₂×D₄×C₄₇	—	4	2	no	—
263	C₂×D₄×C₄₇	—	4	2	no	—
264	C₂×D₄×C₄₇	#41	1	4	yes	—
265	C₂²×C₄×C₄₇	—	2	4	no	—
266	C₂²×C₄×C₄₇	—	2	2	no	—
267	C₂²×C₄×C₄₇	—	2	4	no	—
268	C₂²×C₄×C₄₇	—	2	4	no	—
269	C₂²×C₄×C₄₇	—	2	4	no	—
270	C₂²×C₄×C₄₇	—	2	2	no	—
271	C₂²×C₄×C₄₇	—	4	2	no	—
272	C₂²×C₄×C₄₇	—	4	2	no	—
273	C₂²×C₄×C₄₇	—	4	1	no	—
274	C₂²×C₄×C₄₇	—	4	2	no	—
275	C₂²×C₄×C₄₇	—	4	2	no	—
276	C₂²×C₄×C₄₇	—	4	1	no	—
277	C₂²×C₄×C₄₇	—	4	2	no	—
278	C₂²×C₄×C₄₇	—	4	2	no	—
279	C₂²×C₄×C₄₇	—	4	2	no	—
280	C₂²×C₄×C₄₇	—	4	2	no	—
281	C₂²×C₄×C₄₇	—	4	2	no	—
282	C₂²×C₄×C₄₇	—	4	16	no	—
283	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
284	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
285	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
286	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
287	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
288	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
289	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
290	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
291	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
292	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
293	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
294	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
295	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
296	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
297	C₄⋊C₄×C₄₇	—	2	4	no	—
298	C₄⋊C₄×C₄₇	—	2	4	no	—
299	C₄⋊C₄×C₄₇	—	4	2	no	—
300	C₄⋊C₄×C₄₇	—	4	1	no	—
301	C₄⋊C₄×C₄₇	—	4	1	no	—
302	C₄⋊C₄×C₄₇	—	4	2	no	—
303	C₄⋊C₄×C₄₇	—	4	2	no	—
304	C₄⋊C₄×C₄₇	—	4	2	no	—
305	C₄⋊C₄×C₄₇	—	4	2	no	—
306	C₄⋊C₄×C₄₇	—	4	2	no	—
307	C₄⋊C₄×C₄₇	—	4	2	no	—
308	C₄⋊C₄×C₄₇	—	4	2	no	—
309	C₂²⋊C₄×C₄₇	—	2	2	no	—
310	C₂²⋊C₄×C₄₇	—	2	2	no	—
311	C₂²⋊C₄×C₄₇	—	2	4	no	—
312	C₂²⋊C₄×C₄₇	—	2	4	no	—
313	C₂²⋊C₄×C₄₇	—	2	4	no	—
314	C₂²⋊C₄×C₄₇	—	2	4	no	—
315	C₂²⋊C₄×C₄₇	—	2	4	no	—
316	C₂²⋊C₄×C₄₇	—	2	4	no	—
317	C₂²⋊C₄×C₄₇	—	2	4	no	—
318	C₂²⋊C₄×C₄₇	—	2	4	no	—
319	C₂²⋊C₄×C₄₇	—	2	4	no	—
320	C₂²⋊C₄×C₄₇	—	2	4	no	—
321	C₂²⋊C₄×C₄₇	—	4	2	no	—
322	C₂²⋊C₄×C₄₇	—	4	1	no	—
323	C₂²⋊C₄×C₄₇	—	4	1	no	—
324	C₂²⋊C₄×C₄₇	—	4	1	no	—
325	C₂²⋊C₄×C₄₇	—	4	1	no	—
326	C₂²⋊C₄×C₄₇	—	4	2	no	—
327	C₂²⋊C₄×C₄₇	—	4	2	no	—
328	C₂²⋊C₄×C₄₇	—	4	2	no	—
329	C₂²⋊C₄×C₄₇	—	4	2	no	—
330	C₂²⋊C₄×C₄₇	—	4	2	no	—
331	C₂²⋊C₄×C₄₇	—	4	2	no	—
332	C₂²⋊C₄×C₄₇	—	4	2	no	—
333	C₂²⋊C₄×C₄₇	—	4	2	no	—
334	C₂²⋊C₄×C₄₇	—	4	2	no	—
335	C₂²⋊C₄×C₄₇	—	4	2	no	—
336	C₂²⋊C₄×C₄₇	—	4	2	no	—
337	C₂²⋊C₄×C₄₇	—	4	2	no	—
338	C₂²⋊C₄×C₄₇	—	4	2	no	—
339	C₂²⋊C₄×C₄₇	—	4	2	no	—
340	C₂²⋊C₄×C₄₇	—	4	2	no	—
341	C₂²⋊C₄×C₄₇	—	4	2	no	—
342	C₄²×C₄₇	—	2	2	no	—
343	C₄²×C₄₇	—	2	2	no	—
344	C₄²×C₄₇	—	4	1	no	—
345	C₄²×C₄₇	—	4	2	no	—
346	C₄²×C₄₇	—	4	2	no	—
347	C₂³×C₄₇	—	2	2	no	—
348	C₂³×C₄₇	—	2	2	no	—
349	C₂³×C₄₇	—	2	2	no	—
350	C₂³×C₄₇	—	2	2	no	—
351	C₂³×C₄₇	—	2	1	no	—
352	C₂³×C₄₇	—	2	1	no	—
353	C₂³×C₄₇	—	2	2	no	—
354	C₂³×C₄₇	—	2	2	no	—
355	C₂³×C₄₇	—	2	2	no	—
356	C₂³×C₄₇	—	2	2	no	—
357	C₂³×C₄₇	—	2	2	no	—
358	C₂³×C₄₇	—	2	1	no	—
359	C₂³×C₄₇	—	2	1	no	—
360	C₂³×C₄₇	—	2	2	no	—
361	C₂³×C₄₇	—	2	2	no	—
362	C₂³×C₄₇	—	2	2	no	—
363	C₂³×C₄₇	—	2	2	no	—
364	C₂³×C₄₇	—	2	2	no	—
365	C₂³×C₄₇	—	2	2	no	—
366	C₂³×C₄₇	—	2	2	no	—
367	C₂³×C₄₇	—	2	2	no	—
368	C₂³×C₄₇	—	2	2	no	—
369	C₂³×C₄₇	—	2	2	no	—
370	C₂³×C₄₇	—	2	2	no	—
371	C₂³×C₄₇	—	2	2	no	—
372	C₂³×C₄₇	—	2	2	no	—
373	C₂³×C₄₇	—	2	2	no	—
374	C₂³×C₄₇	—	2	2	no	—
375	C₂³×C₄₇	—	4	8	no	—
376	C₂³×C₄₇	—	4	4	no	—
377	C₂³×C₄₇	—	4	4	no	—
378	C₂³×C₄₇	—	4	8	no	—
379	C₂³×C₄₇	—	4	4	no	—
380	C₂³×C₄₇	—	4	4	no	—
381	C₂³×C₄₇	—	8	4	no	—
382	C₂³×C₄₇	—	8	2	no	—
383	C₂³×C₄₇	—	8	2	no	—
384	C₂³×C₄₇	—	8	4	no	—
385	C₂³×C₄₇	C₂×#41	1	2	yes	—
386	C₂³×C₄₇	C₂×#41	1	2	yes	—
387	C₂³×C₄₇	H(5,𝔽₂)	1	4	yes	—
388	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
389	D₄×C₄₇	—	4	4	no	—
390	D₄×C₄₇	—	4	4	no	—
391	D₄×C₄₇	—	4	8	no	—
392	D₄×C₄₇	—	8	4	no	—
393	D₄×C₄₇	—	8	4	no	—
394	D₄×C₄₇	—	8	4	no	—
395	D₄×C₄₇	—	8	4	no	—
396	D₄×C₄₇	—	8	4	no	—
397	D₄×C₄₇	—	8	4	no	—
398	D₄×C₄₇	—	8	4	no	—
399	D₄×C₄₇	—	8	4	no	—
400	D₄×C₄₇	—	8	4	no	—
401	C₂×C₄×C₄₇	—	2	1	no	—
402	C₂×C₄×C₄₇	—	2	2	no	—
403	C₂×C₄×C₄₇	—	2	2	no	—
404	C₂×C₄×C₄₇	—	2	2	no	—
405	C₂×C₄×C₄₇	—	2	1	no	—
406	C₂×C₄×C₄₇	—	2	2	no	—
407	C₂×C₄×C₄₇	—	2	2	no	—
408	C₂×C₄×C₄₇	—	2	2	no	—
409	C₂×C₄×C₄₇	—	2	1	no	—
410	C₂×C₄×C₄₇	—	2	2	no	—
411	C₂×C₄×C₄₇	—	2	2	no	—
412	C₂×C₄×C₄₇	—	2	2	no	—
413	C₂×C₄×C₄₇	—	2	2	no	—
414	C₂×C₄×C₄₇	—	2	2	no	—
415	C₂×C₄×C₄₇	—	2	2	no	—
416	C₂×C₄×C₄₇	—	2	2	no	—
417	C₂×C₄×C₄₇	—	2	2	no	—
418	C₂×C₄×C₄₇	—	2	2	no	—
419	C₂×C₄×C₄₇	—	2	2	no	—
420	C₂×C₄×C₄₇	—	2	2	no	—
421	C₂×C₄×C₄₇	—	2	2	no	—
422	C₂×C₄×C₄₇	—	2	2	no	—
423	C₂×C₄×C₄₇	—	2	2	no	—
424	C₂×C₄×C₄₇	—	2	2	no	—
425	C₂×C₄×C₄₇	—	2	1	no	—
426	C₂×C₄×C₄₇	—	2	2	no	—
427	C₂×C₄×C₄₇	—	2	2	no	—
428	C₂×C₄×C₄₇	—	2	2	no	—
429	C₂×C₄×C₄₇	—	2	2	no	—
430	C₂×C₄×C₄₇	—	2	2	no	—
431	C₂×C₄×C₄₇	—	2	1	no	—
432	C₂×C₄×C₄₇	—	2	2	no	—
433	C₂×C₄×C₄₇	—	2	2	no	—
434	C₂×C₄×C₄₇	—	2	2	no	—
435	C₂×C₄×C₄₇	—	2	2	no	—
436	C₂×C₄×C₄₇	—	4	8	no	—
437	C₂×C₄×C₄₇	—	4	4	no	—
438	C₂×C₄×C₄₇	—	4	4	no	—
439	C₂×C₄×C₄₇	—	4	8	no	—
440	C₂×C₄×C₄₇	—	8	2	no	—
441	C₂×C₄×C₄₇	—	8	4	no	—
442	C₂×C₄×C₄₇	—	8	2	no	—
443	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
444	C₂×C₄×C₄₇	H(5,𝔽₂)	1	2	yes	—
445	C₂×C₄×C₄₇	H(5,𝔽₂)	1	4	yes	—
446	#36902	C₄₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
447	C₂²×C₄₇	—	2	2	no	—
448	C₂²×C₄₇	—	2	2	no	—
449	C₂²×C₄₇	—	2	4	no	—
450	C₂²×C₄₇	—	2	4	no	—
451	C₂²×C₄₇	—	2	4	no	—
452	C₂²×C₄₇	—	2	4	no	—
453	C₂²×C₄₇	—	2	4	no	—
454	C₂²×C₄₇	—	4	16	no	—
455	C₂²×C₄₇	—	4	2	no	—
456	C₂²×C₄₇	—	4	2	no	—
457	C₂²×C₄₇	—	4	1	no	—
458	C₂²×C₄₇	—	4	2	no	—
459	C₂²×C₄₇	—	4	1	no	—
460	C₂²×C₄₇	—	4	1	no	—
461	C₂²×C₄₇	—	4	1	no	—
462	C₂²×C₄₇	—	4	2	no	—
463	C₂²×C₄₇	—	4	2	no	—
464	C₂²×C₄₇	—	4	2	no	—
465	C₂²×C₄₇	—	4	2	no	—
466	C₂²×C₄₇	—	4	2	no	—
467	C₂²×C₄₇	—	4	2	no	—
468	C₂²×C₄₇	—	4	2	no	—
469	C₂²×C₄₇	—	4	2	no	—
470	C₂²×C₄₇	—	4	2	no	—
471	C₂²×C₄₇	—	4	2	no	—
472	C₂²×C₄₇	—	4	2	no	—
473	C₂²×C₄₇	—	4	2	no	—
474	C₂²×C₄₇	—	4	2	no	—
475	C₂²×C₄₇	—	4	2	no	—
476	C₂²×C₄₇	—	4	2	no	—
477	C₂²×C₄₇	—	4	2	no	—
478	C₂²×C₄₇	—	4	2	no	—
479	C₂²×C₄₇	—	8	8	no	—
480	C₂²×C₄₇	C₂²×#41	1	1	yes	characteristic
481	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
482	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	2	yes	—
483	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	2	yes	—
484	C₂²×C₄₇	#585	1	1	yes	characteristic
485	C₄×C₄₇	—	2	2	no	—
486	C₄×C₄₇	—	2	2	no	—
487	C₄×C₄₇	—	2	4	no	—
488	C₄×C₄₇	—	4	2	no	—
489	C₄×C₄₇	—	4	2	no	—
490	C₄×C₄₇	—	4	2	no	—
491	C₄×C₄₇	—	4	1	no	—
492	C₄×C₄₇	—	4	1	no	—
493	C₄×C₄₇	—	4	1	no	—
494	C₄×C₄₇	—	4	2	no	—
495	C₄×C₄₇	—	4	2	no	—
496	C₄×C₄₇	—	4	2	no	—
497	C₄×C₄₇	—	4	2	no	—
498	C₄×C₄₇	—	4	2	no	—
499	#2847	C₂×C₄₇	1	2	yes	complemented
500	#2781	C₂×C₄₇	1	2	yes	complemented
501	#2748	C₂×C₄₇	1	1	yes	characteristic, complemented
502	#2714	C₂×C₄₇	1	2	yes	complemented
503	#2708	C₂×C₄₇	1	2	yes	complemented
504	#2691	C₂×C₄₇	1	2	yes	complemented
505	#2679	C₂×C₄₇	1	1	yes	characteristic, complemented
506	#2678	C₂×C₄₇	1	2	yes	complemented
507	#2669	C₂×C₄₇	1	1	yes	characteristic, complemented
508	#2669	C₂×C₄₇	1	1	yes	characteristic, complemented
509	#2668	C₂×C₄₇	1	2	yes	complemented
510	#2648	C₂×C₄₇	1	2	yes	complemented
511	#2531	C₂×C₄₇	1	2	yes	complemented
512	#2467	C₂×C₄₇	1	2	yes	complemented
513	#2464	C₂×C₄₇	1	2	yes	complemented
514	#2424	C₂×C₄₇	1	2	yes	complemented
515	#2328	C₂×C₄₇	1	1	yes	characteristic, complemented
516	#2321	C₂×C₄₇	1	1	yes	characteristic, complemented
517	C₄×#120	C₂×C₄₇	1	1	yes	characteristic, complemented
518	C₂×C₄₇	—	4	2	no	—
519	C₂×C₄₇	—	4	4	no	—
520	C₂×C₄₇	—	4	2	no	—
521	C₂×C₄₇	—	8	2	no	—
522	C₂×C₄₇	—	8	2	no	—
523	C₂×C₄₇	#3459	1	1	yes	characteristic
524	C₂×C₄₇	#3519	1	2	yes	—
525	C₂×C₄₇	#3532	1	1	yes	characteristic
526	C₂×C₄₇	#3537	1	1	yes	characteristic
527	C₂×C₄₇	#3542	1	2	yes	—
528	C₂⁴×C₄	C₂²×C₄₇	1	1	yes	characteristic, complemented
529	C₂×#127	C₂²×C₄₇	1	1	yes	characteristic
530	C₂×#126	C₂²×C₄₇	1	2	yes	complemented
531	C₂×#123	C₂²×C₄₇	1	2	yes	complemented
532	C₂×#121	C₂²×C₄₇	1	2	yes	—
533	C₂×#121	C₂²×C₄₇	1	2	yes	—
534	C₂×#121	C₂²×C₄₇	1	2	yes	—
535	C₂×#121	C₂²×C₄₇	1	2	yes	—
536	C₂×#121	C₂²×C₄₇	1	2	yes	—
537	C₂×#120	C₂²×C₄₇	1	1	yes	characteristic
538	C₂×#120	C₂²×C₄₇	1	1	yes	characteristic
539	C₂×#120	C₂²×C₄₇	1	2	yes	—
540	C₂×#120	C₂²×C₄₇	1	2	yes	—
541	C₂×#120	C₂²×C₄₇	1	2	yes	complemented
542	C₂×#120	C₂²×C₄₇	1	2	yes	complemented
543	C₂×C₄×D₄	C₂²×C₄₇	1	1	yes	characteristic
544	C₂×C₄×D₄	C₂²×C₄₇	1	2	yes	—
545	C₂×C₄×D₄	C₂²×C₄₇	1	1	yes	characteristic, complemented
546	C₂²×C₂²⋊C₄	C₂²×C₄₇	1	1	yes	characteristic, complemented
547	#400	C₂²×C₄₇	1	2	yes	complemented
548	#399	C₂²×C₄₇	1	2	yes	complemented
549	#398	C₂²×C₄₇	1	2	yes	complemented
550	#398	C₂²×C₄₇	1	2	yes	complemented
551	#397	C₂²×C₄₇	1	2	yes	complemented
552	#397	C₂²×C₄₇	1	2	yes	complemented
553	#397	C₂²×C₄₇	1	2	yes	complemented
554	#397	C₂²×C₄₇	1	2	yes	complemented
555	#396	C₂²×C₄₇	1	2	yes	complemented
556	#396	C₂²×C₄₇	1	2	yes	complemented
557	#394	C₂²×C₄₇	1	2	yes	—
558	#394	C₂²×C₄₇	1	2	yes	—
559	#394	C₂²×C₄₇	1	2	yes	—
560	#394	C₂²×C₄₇	1	2	yes	—
561	#394	C₂²×C₄₇	1	2	yes	—
562	#394	C₂²×C₄₇	1	2	yes	complemented
563	#394	C₂²×C₄₇	1	2	yes	complemented
564	#394	C₂²×C₄₇	1	2	yes	complemented
565	#394	C₂²×C₄₇	1	2	yes	complemented
566	#392	C₂²×C₄₇	1	2	yes	—
567	#392	C₂²×C₄₇	1	2	yes	—
568	#392	C₂²×C₄₇	1	2	yes	—
569	#392	C₂²×C₄₇	1	2	yes	complemented
570	#392	C₂²×C₄₇	1	2	yes	complemented
571	#390	C₂²×C₄₇	1	2	yes	—
572	#390	C₂²×C₄₇	1	1	yes	characteristic
573	#390	C₂²×C₄₇	1	2	yes	—
574	#390	C₂²×C₄₇	1	1	yes	characteristic, complemented
575	#390	C₂²×C₄₇	1	2	yes	complemented
576	#390	C₂²×C₄₇	1	2	yes	complemented
577	#388	C₂²×C₄₇	1	2	yes	complemented
578	#388	C₂²×C₄₇	1	2	yes	complemented
579	#388	C₂²×C₄₇	1	2	yes	complemented
580	#388	C₂²×C₄₇	1	2	yes	complemented
581	#388	C₂²×C₄₇	1	2	yes	complemented
582	#388	C₂²×C₄₇	1	2	yes	complemented
583	#388	C₂²×C₄₇	1	2	yes	complemented
584	#387	C₂²×C₄₇	1	2	yes	complemented
585	#387	C₂²×C₄₇	1	2	yes	complemented
586	#387	C₂²×C₄₇	1	2	yes	complemented
587	#386	C₂²×C₄₇	1	2	yes	—
588	#386	C₂²×C₄₇	1	1	yes	characteristic
589	#386	C₂²×C₄₇	1	2	yes	—
590	#386	C₂²×C₄₇	1	2	yes	—
591	#386	C₂²×C₄₇	1	2	yes	—
592	#386	C₂²×C₄₇	1	1	yes	characteristic
593	#386	C₂²×C₄₇	1	2	yes	complemented
594	#386	C₂²×C₄₇	1	2	yes	complemented
595	#386	C₂²×C₄₇	1	2	yes	complemented
596	#386	C₂²×C₄₇	1	2	yes	complemented
597	#386	C₂²×C₄₇	1	2	yes	complemented
598	#386	C₂²×C₄₇	1	2	yes	complemented
599	#386	C₂²×C₄₇	1	2	yes	complemented
600	#385	C₂²×C₄₇	1	1	yes	characteristic, complemented
601	#385	C₂²×C₄₇	1	2	yes	complemented
602	#385	C₂²×C₄₇	1	1	yes	characteristic, complemented
603	#385	C₂²×C₄₇	1	2	yes	complemented
604	#385	C₂²×C₄₇	1	2	yes	complemented
605	#382	C₂²×C₄₇	1	1	yes	characteristic, complemented
606	#380	C₂²×C₄₇	1	2	yes	complemented
607	#380	C₂²×C₄₇	1	2	yes	complemented
608	#380	C₂²×C₄₇	1	2	yes	complemented
609	#379	C₂²×C₄₇	1	1	yes	characteristic, complemented
610	#379	C₂²×C₄₇	1	1	yes	characteristic, complemented
611	C₄×C₂²⋊C₄	C₂²×C₄₇	1	1	yes	characteristic, complemented
612	C₄×C₂²⋊C₄	C₂²×C₄₇	1	1	yes	characteristic, complemented
613	C₄×C₂²⋊C₄	C₂²×C₄₇	1	2	yes	complemented
614	#376	C₂²×C₄₇	1	1	yes	characteristic, complemented
615	C₄₇	#36902	1	1	yes	characteristic, direct product factor, Sylow
616	C₂⁵	C₂³×C₄₇	1	1	yes	characteristic
617	C₂⁵	C₂³×C₄₇	1	1	yes	characteristic
618	C₂²×D₄	C₂³×C₄₇	1	2	yes	—
619	C₂²×D₄	C₂³×C₄₇	1	1	yes	characteristic
620	C₂²×D₄	C₂³×C₄₇	1	2	yes	—
621	C₂²×D₄	C₂³×C₄₇	1	2	yes	—
622	C₂²×D₄	C₂³×C₄₇	1	2	yes	—
623	C₂²×D₄	C₂³×C₄₇	1	2	yes	—
624	C₂²×D₄	C₂³×C₄₇	1	2	yes	—
625	C₂²×D₄	C₂³×C₄₇	1	2	yes	—
626	C₂²×D₄	C₂³×C₄₇	1	2	yes	—
627	C₂²×D₄	C₂³×C₄₇	1	2	yes	—
628	C₂²×D₄	C₂³×C₄₇	1	2	yes	—
629	C₂²×D₄	C₂³×C₄₇	1	1	yes	characteristic
630	C₂³×C₄	—	4	4	no	—
631	C₂³×C₄	—	4	2	no	—
632	C₂³×C₄	C₂³×C₄₇	1	2	yes	—
633	C₂³×C₄	C₂³×C₄₇	1	1	yes	characteristic
634	C₂³×C₄	C₂³×C₄₇	1	1	yes	characteristic
635	C₂³×C₄	C₂³×C₄₇	1	1	yes	characteristic
636	C₂³×C₄	C₂³×C₄₇	1	2	yes	—
637	C₂³×C₄	C₂³×C₄₇	1	1	yes	characteristic
638	C₂³×C₄	C₂³×C₄₇	1	2	yes	—
639	#127	—	2	4	no	—
640	#126	—	4	4	no	—
641	#123	—	4	4	no	—
642	#121	—	4	4	no	—
643	#121	—	4	4	no	—
644	#121	—	4	4	no	—
645	#121	—	4	4	no	—
646	#121	—	4	4	no	—
647	#120	—	2	4	no	—
648	#120	—	2	4	no	—
649	#120	—	4	4	no	—
650	#120	—	4	4	no	—
651	#120	—	4	4	no	—
652	#120	—	4	4	no	—
653	C₄×D₄	—	4	2	no	—
654	C₄×D₄	—	4	2	no	—
655	C₄×D₄	—	4	4	no	—
656	C₂×C₄⋊C₄	C₂³×C₄₇	1	2	yes	—
657	C₂×C₄⋊C₄	C₂³×C₄₇	1	2	yes	—
658	C₂×C₄⋊C₄	C₂³×C₄₇	1	1	yes	characteristic
659	C₂×C₄⋊C₄	C₂³×C₄₇	1	1	yes	characteristic
660	C₂×C₄⋊C₄	C₂³×C₄₇	1	2	yes	—
661	C₂×C₄⋊C₄	C₂³×C₄₇	1	2	yes	—
662	C₂×C₄⋊C₄	C₂³×C₄₇	1	2	yes	—
663	C₂×C₄⋊C₄	C₂³×C₄₇	1	2	yes	—
664	C₂×C₄⋊C₄	C₂³×C₄₇	1	2	yes	—
665	C₂×C₄⋊C₄	C₂³×C₄₇	1	2	yes	—
666	C₂×C₄⋊C₄	C₂³×C₄₇	1	2	yes	—
667	C₂×C₄⋊C₄	C₂³×C₄₇	1	2	yes	—
668	C₂×C₂²⋊C₄	—	4	2	no	—
669	C₂×C₂²⋊C₄	C₂³×C₄₇	1	2	yes	—
670	C₂×C₂²⋊C₄	C₂³×C₄₇	1	2	yes	—
671	C₂×C₂²⋊C₄	C₂³×C₄₇	1	2	yes	—
672	C₂×C₂²⋊C₄	C₂³×C₄₇	1	2	yes	—
673	C₂×C₂²⋊C₄	C₂³×C₄₇	1	2	yes	—
674	C₂×C₂²⋊C₄	C₂³×C₄₇	1	1	yes	characteristic
675	C₂×C₂²⋊C₄	C₂³×C₄₇	1	1	yes	characteristic
676	C₂×C₂²⋊C₄	C₂³×C₄₇	1	2	yes	—
677	C₂×C₂²⋊C₄	C₂³×C₄₇	1	2	yes	—
678	C₂×C₂²⋊C₄	C₂³×C₄₇	1	2	yes	—
679	C₂×C₂²⋊C₄	C₂³×C₄₇	1	2	yes	—
680	C₂×C₂²⋊C₄	C₂³×C₄₇	1	2	yes	—
681	C₂×C₂²⋊C₄	C₂³×C₄₇	1	2	yes	—
682	C₂×C₂²⋊C₄	C₂³×C₄₇	1	1	yes	characteristic
683	C₂×C₂²⋊C₄	C₂³×C₄₇	1	1	yes	characteristic
684	C₂×C₂²⋊C₄	C₂³×C₄₇	1	2	yes	—
685	C₂×C₂²⋊C₄	C₂³×C₄₇	1	2	yes	—
686	C₂×C₂²⋊C₄	C₂³×C₄₇	1	2	yes	—
687	C₂×C₂²⋊C₄	C₂³×C₄₇	1	2	yes	—
688	C₂×C₂²⋊C₄	C₂³×C₄₇	1	2	yes	—
689	C₂×C₂²⋊C₄	C₂³×C₄₇	1	2	yes	—
690	C₂×C₂²⋊C₄	C₂³×C₄₇	1	2	yes	—
691	C₂×C₂²⋊C₄	C₂³×C₄₇	1	2	yes	—
692	C₂×C₂²⋊C₄	C₂³×C₄₇	1	2	yes	—
693	C₂×C₂²⋊C₄	C₂³×C₄₇	1	2	yes	—
694	C₂×C₂²⋊C₄	C₂³×C₄₇	1	2	yes	—
695	C₂×C₂²⋊C₄	C₂³×C₄₇	1	2	yes	—
696	C₂×C₂²⋊C₄	C₂³×C₄₇	1	2	yes	—
697	C₂×C₂²⋊C₄	C₂³×C₄₇	1	2	yes	—
698	C₂×C₂²⋊C₄	C₂³×C₄₇	1	2	yes	—
699	C₂×C₂²⋊C₄	C₂³×C₄₇	1	2	yes	—
700	C₂×C₂²⋊C₄	C₂³×C₄₇	1	1	yes	characteristic
701	C₂×C₂²⋊C₄	C₂³×C₄₇	1	1	yes	characteristic
702	C₂×C₄²	C₂³×C₄₇	1	1	yes	characteristic
703	C₂×C₄²	C₂³×C₄₇	1	1	yes	characteristic
704	C₂×C₄²	C₂³×C₄₇	1	2	yes	—
705	C₂×C₄²	C₂³×C₄₇	1	2	yes	—
706	C₂×C₄²	C₂³×C₄₇	1	1	yes	characteristic
707	#95	C₂³×C₄₇	1	2	yes	—
708	#95	C₂³×C₄₇	1	2	yes	—
709	#95	C₂³×C₄₇	1	2	yes	—
710	#95	C₂³×C₄₇	1	2	yes	—
711	#95	C₂³×C₄₇	1	2	yes	—
712	#95	C₂³×C₄₇	1	2	yes	—
713	#95	C₂³×C₄₇	1	2	yes	—
714	#95	C₂³×C₄₇	1	2	yes	—
715	#95	C₂³×C₄₇	1	2	yes	—
716	#95	C₂³×C₄₇	1	2	yes	—
717	#95	C₂³×C₄₇	1	2	yes	—
718	#95	C₂³×C₄₇	1	2	yes	—
719	#95	C₂³×C₄₇	1	2	yes	—
720	#95	C₂³×C₄₇	1	2	yes	—
721	#95	C₂³×C₄₇	1	2	yes	—
722	#95	C₂³×C₄₇	1	2	yes	—
723	C₂⁴	—	2	2	no	—
724	C₂⁴	—	2	4	no	—
725	C₂⁴	—	2	2	no	—
726	C₂⁴	—	4	1	no	—
727	C₂⁴	—	4	2	no	—
728	C₂⁴	—	4	1	no	—
729	C₂⁴	—	4	1	no	—
730	C₂⁴	—	4	1	no	—
731	C₂⁴	—	4	2	no	—
732	C₂⁴	—	4	2	no	—
733	C₂⁴	C₂⁴×C₄₇	1	2	yes	—
734	C₂⁴	C₂⁴×C₄₇	1	2	yes	—
735	C₂⁴	C₂⁴×C₄₇	1	1	yes	characteristic
736	C₂⁴	C₂⁴×C₄₇	1	1	yes	characteristic
737	C₂⁴	C₂⁴×C₄₇	1	2	yes	—
738	C₂×D₄	—	2	4	no	—
739	C₂×D₄	—	2	4	no	—
740	C₂×D₄	—	2	4	no	—
741	C₂×D₄	—	2	4	no	—
742	C₂×D₄	—	2	4	no	—
743	C₂×D₄	—	2	4	no	—
744	C₂×D₄	—	2	4	no	—
745	C₂×D₄	—	2	4	no	—
746	C₂×D₄	—	2	4	no	—
747	C₂×D₄	—	2	2	no	—
748	C₂×D₄	—	2	4	no	—
749	C₂×D₄	—	4	1	no	—
750	C₂×D₄	—	4	1	no	—
751	C₂×D₄	—	4	2	no	—
752	C₂×D₄	—	4	1	no	—
753	C₂×D₄	—	4	1	no	—
754	C₂×D₄	—	4	2	no	—
755	C₂×D₄	—	4	2	no	—
756	C₂×D₄	—	4	2	no	—
757	C₂×D₄	—	4	2	no	—
758	C₂×D₄	—	4	2	no	—
759	C₂×D₄	—	4	2	no	—
760	C₂×D₄	—	4	2	no	—
761	C₂×D₄	—	4	2	no	—
762	C₂×D₄	—	4	2	no	—
763	C₂×D₄	—	4	2	no	—
764	C₂×D₄	—	4	2	no	—
765	C₂×D₄	—	4	2	no	—
766	C₂×D₄	—	4	2	no	—
767	C₂×D₄	—	4	2	no	—
768	C₂×D₄	—	4	2	no	—
769	C₂×D₄	—	4	2	no	—
770	C₂×D₄	—	4	2	no	—
771	C₂×D₄	—	4	2	no	—
772	C₂×D₄	—	4	2	no	—
773	C₂×D₄	#41×C₄₇	1	4	yes	—
774	C₂²×C₄	—	2	4	no	—
775	C₂²×C₄	—	2	2	no	—
776	C₂²×C₄	—	2	4	no	—
777	C₂²×C₄	—	2	4	no	—
778	C₂²×C₄	—	2	4	no	—
779	C₂²×C₄	—	2	2	no	—
780	C₂²×C₄	—	4	2	no	—
781	C₂²×C₄	—	4	2	no	—
782	C₂²×C₄	—	4	1	no	—
783	C₂²×C₄	—	4	2	no	—
784	C₂²×C₄	—	4	2	no	—
785	C₂²×C₄	—	4	1	no	—
786	C₂²×C₄	—	4	2	no	—
787	C₂²×C₄	—	4	2	no	—
788	C₂²×C₄	—	4	2	no	—
789	C₂²×C₄	—	4	2	no	—
790	C₂²×C₄	—	4	2	no	—
791	C₂²×C₄	—	4	16	no	—
792	C₂²×C₄	C₂⁴×C₄₇	1	2	yes	—
793	C₂²×C₄	C₂⁴×C₄₇	1	1	yes	characteristic
794	C₂²×C₄	C₂⁴×C₄₇	1	2	yes	—
795	C₂²×C₄	C₂⁴×C₄₇	1	2	yes	—
796	C₂²×C₄	C₂⁴×C₄₇	1	2	yes	—
797	C₂²×C₄	C₂⁴×C₄₇	1	2	yes	—
798	C₂²×C₄	C₂⁴×C₄₇	1	2	yes	—
799	C₂²×C₄	C₂⁴×C₄₇	1	1	yes	characteristic
800	C₂²×C₄	C₂⁴×C₄₇	1	2	yes	—
801	C₂²×C₄	C₂⁴×C₄₇	1	2	yes	—
802	C₂²×C₄	C₂⁴×C₄₇	1	1	yes	characteristic
803	C₂²×C₄	C₂⁴×C₄₇	1	1	yes	characteristic
804	C₂²×C₄	C₂⁴×C₄₇	1	1	yes	characteristic
805	C₂²×C₄	C₂⁴×C₄₇	1	2	yes	—
806	C₄⋊C₄	—	2	4	no	—
807	C₄⋊C₄	—	2	4	no	—
808	C₄⋊C₄	—	4	2	no	—
809	C₄⋊C₄	—	4	1	no	—
810	C₄⋊C₄	—	4	1	no	—
811	C₄⋊C₄	—	4	2	no	—
812	C₄⋊C₄	—	4	2	no	—
813	C₄⋊C₄	—	4	2	no	—
814	C₄⋊C₄	—	4	2	no	—
815	C₄⋊C₄	—	4	2	no	—
816	C₄⋊C₄	—	4	2	no	—
817	C₄⋊C₄	—	4	2	no	—
818	C₂²⋊C₄	—	2	2	no	—
819	C₂²⋊C₄	—	2	2	no	—
820	C₂²⋊C₄	—	2	4	no	—
821	C₂²⋊C₄	—	2	4	no	—
822	C₂²⋊C₄	—	2	4	no	—
823	C₂²⋊C₄	—	2	4	no	—
824	C₂²⋊C₄	—	2	4	no	—
825	C₂²⋊C₄	—	2	4	no	—
826	C₂²⋊C₄	—	2	4	no	—
827	C₂²⋊C₄	—	2	4	no	—
828	C₂²⋊C₄	—	2	4	no	—
829	C₂²⋊C₄	—	2	4	no	—
830	C₂²⋊C₄	—	4	2	no	—
831	C₂²⋊C₄	—	4	1	no	—
832	C₂²⋊C₄	—	4	1	no	—
833	C₂²⋊C₄	—	4	1	no	—
834	C₂²⋊C₄	—	4	1	no	—
835	C₂²⋊C₄	—	4	2	no	—
836	C₂²⋊C₄	—	4	2	no	—
837	C₂²⋊C₄	—	4	2	no	—
838	C₂²⋊C₄	—	4	2	no	—
839	C₂²⋊C₄	—	4	2	no	—
840	C₂²⋊C₄	—	4	2	no	—
841	C₂²⋊C₄	—	4	2	no	—
842	C₂²⋊C₄	—	4	2	no	—
843	C₂²⋊C₄	—	4	2	no	—
844	C₂²⋊C₄	—	4	2	no	—
845	C₂²⋊C₄	—	4	2	no	—
846	C₂²⋊C₄	—	4	2	no	—
847	C₂²⋊C₄	—	4	2	no	—
848	C₂²⋊C₄	—	4	2	no	—
849	C₂²⋊C₄	—	4	2	no	—
850	C₂²⋊C₄	—	4	2	no	—
851	C₄²	—	2	2	no	—
852	C₄²	—	2	2	no	—
853	C₄²	—	4	1	no	—
854	C₄²	—	4	2	no	—
855	C₄²	—	4	2	no	—
856	C₂³	—	2	2	no	—
857	C₂³	—	2	2	no	—
858	C₂³	—	2	2	no	—
859	C₂³	—	2	2	no	—
860	C₂³	—	2	1	no	—
861	C₂³	—	2	1	no	—
862	C₂³	—	2	2	no	—
863	C₂³	—	2	2	no	—
864	C₂³	—	2	2	no	—
865	C₂³	—	2	2	no	—
866	C₂³	—	2	2	no	—
867	C₂³	—	2	1	no	—
868	C₂³	—	2	1	no	—
869	C₂³	—	2	2	no	—
870	C₂³	—	2	2	no	—
871	C₂³	—	2	2	no	—
872	C₂³	—	2	2	no	—
873	C₂³	—	2	2	no	—
874	C₂³	—	2	2	no	—
875	C₂³	—	2	2	no	—
876	C₂³	—	2	2	no	—
877	C₂³	—	2	2	no	—
878	C₂³	—	2	2	no	—
879	C₂³	—	2	2	no	—
880	C₂³	—	2	2	no	—
881	C₂³	—	2	2	no	—
882	C₂³	—	2	2	no	—
883	C₂³	—	2	2	no	—
884	C₂³	—	4	8	no	—
885	C₂³	—	4	4	no	—
886	C₂³	—	4	8	no	—
887	C₂³	—	4	4	no	—
888	C₂³	—	4	4	no	—
889	C₂³	—	4	4	no	—
890	C₂³	—	8	4	no	—
891	C₂³	—	8	4	no	—
892	C₂³	—	8	2	no	—
893	C₂³	—	8	2	no	—
894	C₂³	C₂×#41×C₄₇	1	2	yes	—
895	C₂³	C₂×#41×C₄₇	1	2	yes	—
896	C₂³	H(5,𝔽₂)×C₄₇	1	4	yes	—
897	C₂³	C₂⁵×C₄₇	1	1	yes	characteristic
898	D₄	—	4	4	no	—
899	D₄	—	4	4	no	—
900	D₄	—	4	8	no	—
901	D₄	—	8	4	no	—
902	D₄	—	8	4	no	—
903	D₄	—	8	4	no	—
904	D₄	—	8	4	no	—
905	D₄	—	8	4	no	—
906	D₄	—	8	4	no	—
907	D₄	—	8	4	no	—
908	D₄	—	8	4	no	—
909	D₄	—	8	4	no	—
910	C₂×C₄	—	2	1	no	—
911	C₂×C₄	—	2	2	no	—
912	C₂×C₄	—	2	2	no	—
913	C₂×C₄	—	2	2	no	—
914	C₂×C₄	—	2	1	no	—
915	C₂×C₄	—	2	2	no	—
916	C₂×C₄	—	2	2	no	—
917	C₂×C₄	—	2	2	no	—
918	C₂×C₄	—	2	1	no	—
919	C₂×C₄	—	2	2	no	—
920	C₂×C₄	—	2	2	no	—
921	C₂×C₄	—	2	2	no	—
922	C₂×C₄	—	2	2	no	—
923	C₂×C₄	—	2	2	no	—
924	C₂×C₄	—	2	2	no	—
925	C₂×C₄	—	2	2	no	—
926	C₂×C₄	—	2	2	no	—
927	C₂×C₄	—	2	2	no	—
928	C₂×C₄	—	2	2	no	—
929	C₂×C₄	—	2	2	no	—
930	C₂×C₄	—	2	2	no	—
931	C₂×C₄	—	2	2	no	—
932	C₂×C₄	—	2	2	no	—
933	C₂×C₄	—	2	2	no	—
934	C₂×C₄	—	2	1	no	—
935	C₂×C₄	—	2	2	no	—
936	C₂×C₄	—	2	2	no	—
937	C₂×C₄	—	2	2	no	—
938	C₂×C₄	—	2	2	no	—
939	C₂×C₄	—	2	2	no	—
940	C₂×C₄	—	2	1	no	—
941	C₂×C₄	—	2	2	no	—
942	C₂×C₄	—	2	2	no	—
943	C₂×C₄	—	2	2	no	—
944	C₂×C₄	—	2	2	no	—
945	C₂×C₄	—	4	8	no	—
946	C₂×C₄	—	4	4	no	—
947	C₂×C₄	—	4	4	no	—
948	C₂×C₄	—	4	8	no	—
949	C₂×C₄	—	8	2	no	—
950	C₂×C₄	—	8	4	no	—
951	C₂×C₄	—	8	2	no	—
952	C₂×C₄	C₂×#41×C₄₇	1	2	yes	—
953	C₂×C₄	H(5,𝔽₂)×C₄₇	1	2	yes	—
954	C₂×C₄	H(5,𝔽₂)×C₄₇	1	4	yes	—
955	C₂²	—	2	4	no	—
956	C₂²	—	2	2	no	—
957	C₂²	—	2	2	no	—
958	C₂²	—	2	4	no	—
959	C₂²	—	2	4	no	—
960	C₂²	—	2	4	no	—
961	C₂²	—	2	4	no	—
962	C₂²	—	4	16	no	—
963	C₂²	—	4	2	no	—
964	C₂²	—	4	2	no	—
965	C₂²	—	4	2	no	—
966	C₂²	—	4	2	no	—
967	C₂²	—	4	2	no	—
968	C₂²	—	4	2	no	—
969	C₂²	—	4	1	no	—
970	C₂²	—	4	1	no	—
971	C₂²	—	4	1	no	—
972	C₂²	—	4	1	no	—
973	C₂²	—	4	2	no	—
974	C₂²	—	4	2	no	—
975	C₂²	—	4	2	no	—
976	C₂²	—	4	2	no	—
977	C₂²	—	4	2	no	—
978	C₂²	—	4	2	no	—
979	C₂²	—	4	2	no	—
980	C₂²	—	4	2	no	—
981	C₂²	—	4	2	no	—
982	C₂²	—	4	2	no	—
983	C₂²	—	4	2	no	—
984	C₂²	—	4	2	no	—
985	C₂²	—	4	2	no	—
986	C₂²	—	4	2	no	—
987	C₂²	—	8	8	no	—
988	C₂²	C₂²×#41×C₄₇	1	1	yes	characteristic
989	C₂²	C₂×H(5,𝔽₂)×C₄₇	1	2	yes	—
990	C₂²	C₂×H(5,𝔽₂)×C₄₇	1	2	yes	—
991	C₂²	C₂×H(5,𝔽₂)×C₄₇	1	1	yes	characteristic
992	C₂²	C₄₇×#585	1	1	yes	characteristic
993	C₄	—	2	2	no	—
994	C₄	—	2	2	no	—
995	C₄	—	2	4	no	—
996	C₄	—	4	2	no	—
997	C₄	—	4	2	no	—
998	C₄	—	4	2	no	—
999	C₄	—	4	2	no	—
1000	C₄	—	4	2	no	—
1001	C₄	—	4	2	no	—
1002	C₄	—	4	1	no	—
1003	C₄	—	4	1	no	—
1004	C₄	—	4	1	no	—
1005	C₄	—	4	2	no	—
1006	C₄	—	4	2	no	—
1007	C₂	—	4	4	no	—
1008	C₂	—	4	2	no	—
1009	C₂	—	4	2	no	—
1010	C₂	—	8	2	no	—
1011	C₂	—	8	2	no	—
1012	C₂	C₄₇×#3459	1	1	yes	characteristic
1013	C₂	C₄₇×#3519	1	2	yes	—
1014	C₂	C₄₇×#3532	1	1	yes	characteristic
1015	C₂	C₄₇×#3537	1	1	yes	characteristic
1016	C₂	C₄₇×#3542	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₄₇	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₄₇
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₄₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₄₇×#2847	C₂	semidirect
2. C₄₇×#2781	C₂	semidirect
3. C₄₇×#2748	C₂	semidirect
4. C₄₇×#2714	C₂	semidirect
5. C₄₇×#2708	C₂	semidirect
6. C₄₇×#2691	C₂	semidirect
7. C₄₇×#2679	C₂	semidirect
8. C₄₇×#2678	C₂	semidirect
9. C₄₇×#2669	C₂	semidirect
10. C₄₇×#2669	C₂	semidirect
11. C₄₇×#2668	C₂	semidirect
12. C₄₇×#2648	C₂	semidirect
13. C₄₇×#2531	C₂	semidirect
14. C₄₇×#2467	C₂	semidirect
15. C₄₇×#2464	C₂	semidirect
16. C₄₇×#2424	C₂	semidirect
17. C₄₇×#2328	C₂	semidirect
18. C₄₇×#2321	C₂	semidirect
19. C₄×#120×C₄₇	C₂	semidirect
20. C₂⁴×C₄×C₄₇	C₂²	semidirect
22. C₂×#126×C₄₇	C₂²	semidirect
23. C₂×#123×C₄₇	C₂²	semidirect
33. C₂×#120×C₄₇	C₂²	semidirect
34. C₂×#120×C₄₇	C₂²	semidirect
37. C₂×C₄×D₄×C₄₇	C₂²	semidirect
38. C₂²×C₂²⋊C₄×C₄₇	C₂²	semidirect
39. C₄₇×#400	C₂²	semidirect
40. C₄₇×#399	C₂²	semidirect
41. C₄₇×#398	C₂²	semidirect
42. C₄₇×#398	C₂²	semidirect
43. C₄₇×#397	C₂²	semidirect
44. C₄₇×#397	C₂²	semidirect
45. C₄₇×#397	C₂²	semidirect
46. C₄₇×#397	C₂²	semidirect
47. C₄₇×#396	C₂²	semidirect
48. C₄₇×#396	C₂²	semidirect
54. C₄₇×#394	C₂²	semidirect
55. C₄₇×#394	C₂²	semidirect
56. C₄₇×#394	C₂²	semidirect
57. C₄₇×#394	C₂²	semidirect
61. C₄₇×#392	C₂²	semidirect
62. C₄₇×#392	C₂²	semidirect
66. C₄₇×#390	C₂²	semidirect
67. C₄₇×#390	C₂²	semidirect
68. C₄₇×#390	C₂²	semidirect
69. C₄₇×#388	C₂²	semidirect
70. C₄₇×#388	C₂²	semidirect
71. C₄₇×#388	C₂²	semidirect
72. C₄₇×#388	C₂²	semidirect
73. C₄₇×#388	C₂²	semidirect
74. C₄₇×#388	C₂²	semidirect
75. C₄₇×#388	C₂²	semidirect
76. C₄₇×#387	C₂²	semidirect
77. C₄₇×#387	C₂²	semidirect
78. C₄₇×#387	C₂²	semidirect
85. C₄₇×#386	C₂²	semidirect
86. C₄₇×#386	C₂²	semidirect
87. C₄₇×#386	C₂²	semidirect
88. C₄₇×#386	C₂²	semidirect
89. C₄₇×#386	C₂²	semidirect
90. C₄₇×#386	C₂²	semidirect
91. C₄₇×#386	C₂²	semidirect
92. C₄₇×#385	C₂²	semidirect
93. C₄₇×#385	C₂²	semidirect
94. C₄₇×#385	C₂²	semidirect
95. C₄₇×#385	C₂²	semidirect
96. C₄₇×#385	C₂²	semidirect
97. C₄₇×#382	C₂²	semidirect
98. C₄₇×#380	C₂²	semidirect
99. C₄₇×#380	C₂²	semidirect
100. C₄₇×#380	C₂²	semidirect
101. C₄₇×#379	C₂²	semidirect
102. C₄₇×#379	C₂²	semidirect
103. C₄×C₂²⋊C₄×C₄₇	C₂²	semidirect
104. C₄×C₂²⋊C₄×C₄₇	C₂²	semidirect
105. C₄×C₂²⋊C₄×C₄₇	C₂²	semidirect
106. C₄₇×#376	C₂²	semidirect
446. #36902	C₄₇	direct (N × H)
499. #2847	C₂×C₄₇	semidirect
500. #2781	C₂×C₄₇	semidirect
501. #2748	C₂×C₄₇	semidirect
502. #2714	C₂×C₄₇	semidirect
503. #2708	C₂×C₄₇	semidirect
504. #2691	C₂×C₄₇	semidirect
505. #2679	C₂×C₄₇	semidirect
506. #2678	C₂×C₄₇	semidirect
507. #2669	C₂×C₄₇	semidirect
508. #2669	C₂×C₄₇	semidirect
509. #2668	C₂×C₄₇	semidirect
510. #2648	C₂×C₄₇	semidirect
511. #2531	C₂×C₄₇	semidirect
512. #2467	C₂×C₄₇	semidirect
513. #2464	C₂×C₄₇	semidirect
514. #2424	C₂×C₄₇	semidirect
515. #2328	C₂×C₄₇	semidirect
516. #2321	C₂×C₄₇	semidirect
517. C₄×#120	C₂×C₄₇	semidirect
528. C₂⁴×C₄	C₂²×C₄₇	semidirect
530. C₂×#126	C₂²×C₄₇	semidirect
531. C₂×#123	C₂²×C₄₇	semidirect
541. C₂×#120	C₂²×C₄₇	semidirect
542. C₂×#120	C₂²×C₄₇	semidirect
545. C₂×C₄×D₄	C₂²×C₄₇	semidirect
546. C₂²×C₂²⋊C₄	C₂²×C₄₇	semidirect
547. #400	C₂²×C₄₇	semidirect
548. #399	C₂²×C₄₇	semidirect
549. #398	C₂²×C₄₇	semidirect
550. #398	C₂²×C₄₇	semidirect
551. #397	C₂²×C₄₇	semidirect
552. #397	C₂²×C₄₇	semidirect
553. #397	C₂²×C₄₇	semidirect
554. #397	C₂²×C₄₇	semidirect
555. #396	C₂²×C₄₇	semidirect
556. #396	C₂²×C₄₇	semidirect
562. #394	C₂²×C₄₇	semidirect
563. #394	C₂²×C₄₇	semidirect
564. #394	C₂²×C₄₇	semidirect
565. #394	C₂²×C₄₇	semidirect
569. #392	C₂²×C₄₇	semidirect
570. #392	C₂²×C₄₇	semidirect
574. #390	C₂²×C₄₇	semidirect
575. #390	C₂²×C₄₇	semidirect
576. #390	C₂²×C₄₇	semidirect
577. #388	C₂²×C₄₇	semidirect
578. #388	C₂²×C₄₇	semidirect
579. #388	C₂²×C₄₇	semidirect
580. #388	C₂²×C₄₇	semidirect
581. #388	C₂²×C₄₇	semidirect
582. #388	C₂²×C₄₇	semidirect
583. #388	C₂²×C₄₇	semidirect
584. #387	C₂²×C₄₇	semidirect
585. #387	C₂²×C₄₇	semidirect
586. #387	C₂²×C₄₇	semidirect
593. #386	C₂²×C₄₇	semidirect
594. #386	C₂²×C₄₇	semidirect
595. #386	C₂²×C₄₇	semidirect
596. #386	C₂²×C₄₇	semidirect
597. #386	C₂²×C₄₇	semidirect
598. #386	C₂²×C₄₇	semidirect
599. #386	C₂²×C₄₇	semidirect
600. #385	C₂²×C₄₇	semidirect
601. #385	C₂²×C₄₇	semidirect
602. #385	C₂²×C₄₇	semidirect
603. #385	C₂²×C₄₇	semidirect
604. #385	C₂²×C₄₇	semidirect
605. #382	C₂²×C₄₇	semidirect
606. #380	C₂²×C₄₇	semidirect
607. #380	C₂²×C₄₇	semidirect
608. #380	C₂²×C₄₇	semidirect
609. #379	C₂²×C₄₇	semidirect
610. #379	C₂²×C₄₇	semidirect
611. C₄×C₂²⋊C₄	C₂²×C₄₇	semidirect
612. C₄×C₂²⋊C₄	C₂²×C₄₇	semidirect
613. C₄×C₂²⋊C₄	C₂²×C₄₇	semidirect
614. #376	C₂²×C₄₇	semidirect
615. C₄₇	#36902	direct (N × H)

Maximal subgroups

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

subgroup	index
C₄₇×#2847	2
C₄₇×#2781	2
C₄₇×#2748	2
C₄₇×#2714	2
C₄₇×#2708	2
C₄₇×#2691	2
C₄₇×#2679	2
C₄₇×#2678	2
C₄₇×#2669	2
C₄₇×#2668	2
C₄₇×#2648	2
C₄₇×#2531	2
C₄₇×#2467	2
C₄₇×#2464	2
C₄₇×#2424	2
C₄₇×#2328	2
C₄₇×#2321	2
C₄×#120×C₄₇	2
#36902	47

Subgroups — C47×#36902 #26076600

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₇×#36902 #26076600