Subgroups — #26186839

Order 12032.

734 conjugacy classes of subgroups.

The subgroup lattice has 408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20253964	C₂	1	1	yes	maximal, characteristic
2	#20252095	C₂	1	2	yes	maximal, complemented
3	#20242302	C₂	1	1	yes	maximal, characteristic, complemented
4	#20242301	C₂	1	1	yes	maximal, characteristic, complemented
5	#20242299	C₂	1	2	yes	maximal, complemented
6	#20242213	C₂	1	1	yes	maximal, characteristic, complemented
7	#20242210	C₂	1	2	yes	maximal, complemented
8	#20242142	C₂	1	1	yes	maximal, characteristic, complemented
9	#20241837	C₂	1	2	yes	maximal, complemented
10	#322×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₇×#1580	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#13094030	—	2	2	no	—
13	#15689670	C₂²	1	2	yes	—
14	#15689527	C₄	1	1	yes	characteristic
15	#15689498	C₄	1	1	yes	characteristic
16	#15689468	C₄	1	2	yes	—
17	#15689360	C₄	1	1	yes	characteristic
18	#15689358	C₄	1	2	yes	—
19	#15689356	C₄	1	1	yes	characteristic
20	C₄×D₃₇₆	C₂²	1	1	yes	characteristic
21	C₄×#10625334	C₂²	1	2	yes	—
22	#15689201	C₂²	1	2	yes	—
23	#15689200	C₂²	1	2	yes	—
24	#15689198	—	2	2	no	—
25	C₈×D₁₈₈	C₂²	1	2	yes	—
26	C₈×C₂²⋊D₄₇	—	2	2	no	—
27	#15689145	C₂²	1	2	yes	—
28	#15689088	—	2	2	no	—
29	C₄×C₈×D₄₇	C₂²	1	1	yes	characteristic
30	C₄×C₈×D₄₇	C₂²	1	1	yes	characteristic
31	C₄×C₈×D₄₇	C₂²	1	1	yes	characteristic
32	#15688874	C₂²	1	1	yes	characteristic
33	#15688873	C₂²	1	2	yes	—
34	#15688852	C₂²	1	2	yes	—
35	D₄⋊(C₄₇⋊C₈)	C₂²	1	2	yes	—
36	#15688850	C₂²	1	2	yes	—
37	#15688845	C₂²	1	1	yes	characteristic
38	#15688845	C₂²	1	1	yes	characteristic
39	#15688844	C₂²	1	1	yes	characteristic
40	C₄×D₈×C₄₇	C₂²	1	1	yes	characteristic
41	C₈×D₄×C₄₇	C₂²	1	2	yes	—
42	C₄₇×#334	C₂²	1	1	yes	characteristic
43	C₄₇×D₄⋊C₈	C₂²	1	2	yes	—
44	C₄₇×#322	C₂²	1	1	yes	characteristic
45	C₂×#10625350	—	2	2	no	—
46	C₂×D₃₇₆	C₂×C₄	1	1	yes	characteristic
47	C₂×#10625334	C₂×C₄	1	2	yes	—
48	#13094030	—	4	8	no	—
49	C₂×#10625329	—	2	2	no	—
50	C₂×#10625324	—	2	2	no	—
51	C₂×#10625324	—	2	2	no	—
52	C₂×C₈×D₄₇	—	2	1	no	—
53	C₂×C₈×D₄₇	—	2	2	no	—
54	C₂×C₈×D₄₇	C₂×C₄	1	1	yes	characteristic
55	C₂×C₈×D₄₇	C₂×C₄	1	1	yes	characteristic
56	C₂×C₈×D₄₇	D₄	1	2	yes	—
57	#13094023	C₂×C₄	1	2	yes	—
58	#13094020	C₂×C₄	1	2	yes	—
59	#13094010	—	2	2	no	—
60	#13093999	C₂×C₄	1	2	yes	—
61	#13093997	—	2	2	no	—
62	#13093995	C₂×C₄	1	2	yes	—
63	C₄×D₁₈₈	C₂³	1	2	yes	—
64	C₄×C₂²⋊D₄₇	—	2	2	no	—
65	C₄²×D₄₇	C₂³	1	1	yes	characteristic
66	#13093958	C₂×C₄	1	1	yes	characteristic
67	#13093957	C₂×C₄	1	2	yes	—
68	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
69	Dic₄₇⋊C₈	—	2	2	no	—
70	#13093946	C₂×C₄	1	2	yes	—
71	#13093945	C₂×C₄	1	2	yes	—
72	#13093944	C₂×C₄	1	2	yes	—
73	C₂²⋊(C₄₇⋊C₈)	—	2	2	no	—
74	(C₂×D₄₇)⋊C₈	—	2	2	no	—
75	(C₂×D₄₇)⋊C₈	—	2	2	no	—
76	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
77	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
78	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
79	C₈×Dic₄₇	—	2	1	no	—
80	C₈×Dic₄₇	C₂×C₄	1	1	yes	characteristic
81	C₈×Dic₄₇	C₂×C₄	1	1	yes	characteristic
82	C₈×Dic₄₇	D₄	1	2	yes	—
83	C₂×D₈×C₄₇	C₂×C₄	1	1	yes	characteristic
84	C₂²×C₈×C₄₇	—	2	2	no	—
85	C₄×D₄×C₄₇	C₂³	1	2	yes	—
86	#107×C₄₇	C₂×C₄	1	1	yes	characteristic
87	C₄⋊C₈×C₄₇	C₂³	1	2	yes	—
88	#102×C₄₇	C₂×C₄	1	2	yes	—
89	C₂²⋊C₈×C₄₇	—	2	2	no	—
90	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
91	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
92	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
93	C₂×D₄×C₄₇	C₂²×C₄	1	2	yes	—
94	C₂²×C₄×C₄₇	—	2	2	no	—
95	C₂×C₂²⋊D₄₇	—	2	2	no	—
96	C₂×C₂²⋊D₄₇	—	2	2	no	—
97	C₂×C₂²⋊D₄₇	—	2	2	no	—
98	#10625350	—	4	4	no	—
99	#10625350	—	4	4	no	—
100	C₂×D₁₈₈	—	2	2	no	—
101	C₂×D₁₈₈	C₂²×C₄	1	2	yes	—
102	C₂×C₄×D₄₇	—	2	2	no	—
103	C₂×C₄×D₄₇	C₂²×C₄	1	1	yes	characteristic
104	C₂×C₄×D₄₇	C₂×D₄	1	1	yes	characteristic
105	C₂×C₄×D₄₇	#41	1	1	yes	characteristic
106	C₂×Dic₉₄	—	2	2	no	—
107	D₈×C₄₇	—	2	2	no	—
108	C₂×C₈×C₄₇	—	2	2	no	—
109	C₂×C₈×C₄₇	—	2	1	no	—
110	C₂×C₈×C₄₇	—	4	4	no	—
111	C₂×C₈×C₄₇	C₂²×C₄	1	1	yes	characteristic
112	C₂×C₈×C₄₇	C₂²×C₄	1	1	yes	characteristic
113	C₂×C₈×C₄₇	C₂×D₄	1	2	yes	—
114	C₄⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
115	C₂²⋊C₄×C₄₇	—	2	2	no	—
116	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
117	C₂²⋊Dic₄₇	—	2	2	no	—
118	#10625334	—	2	4	no	—
119	(C₂×D₄₇)⋊C₄	—	2	2	no	—
120	(C₂×D₄₇)⋊C₄	—	2	2	no	—
121	C₄⋊Dic₄₇	C₂²×C₄	1	2	yes	—
122	Dic₄₇⋊C₄	—	2	2	no	—
123	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
124	C₄×Dic₄₇	C₂×D₄	1	1	yes	characteristic
125	C₄×Dic₄₇	#41	1	1	yes	characteristic
126	#10625329	—	4	4	no	—
127	C₂×C₄₇⋊C₈	—	2	2	no	—
128	C₂×C₄₇⋊C₈	—	2	1	no	—
129	C₂×C₄₇⋊C₈	C₂²×C₄	1	1	yes	characteristic
130	C₂×C₄₇⋊C₈	C₂²×C₄	1	1	yes	characteristic
131	C₂×C₄₇⋊C₈	C₂×D₄	1	2	yes	—
132	D₃₇₆	—	2	2	no	—
133	#10625324	—	4	4	no	—
134	#10625324	—	4	4	no	—
135	C₈×D₄₇	—	2	4	no	—
136	C₈×D₄₇	—	2	2	no	—
137	C₈×D₄₇	—	2	2	no	—
138	C₈×D₄₇	—	4	4	no	—
139	C₈×D₄₇	—	4	2	no	—
140	C₂³×C₄₇	—	2	2	no	—
141	C₂²×D₄₇	—	2	2	no	—
142	C₂²×D₄₇	C₄×D₄	1	1	yes	characteristic
143	D₄×C₄₇	—	2	2	no	—
144	D₄×C₄₇	—	2	2	no	—
145	C₂×C₄×C₄₇	—	2	2	no	—
146	C₂×C₄×C₄₇	—	4	2	no	—
147	C₂×C₄×C₄₇	—	4	2	no	—
148	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
149	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
150	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
151	C₂²⋊D₄₇	—	4	4	no	—
152	C₂²⋊D₄₇	—	4	4	no	—
153	C₂²⋊D₄₇	—	4	4	no	—
154	C₂×Dic₄₇	—	2	2	no	—
155	C₂×Dic₄₇	C₄×D₄	1	1	yes	characteristic
156	C₂×Dic₄₇	C₄×D₄	1	1	yes	characteristic
157	C₂×Dic₄₇	C₄×D₄	1	1	yes	characteristic
158	D₁₈₈	—	2	2	no	—
159	D₁₈₈	—	2	2	no	—
160	D₁₈₈	—	4	4	no	—
161	C₄×D₄₇	—	2	1	no	—
162	C₄×D₄₇	—	2	1	no	—
163	C₄×D₄₇	—	2	2	no	—
164	C₄×D₄₇	—	4	2	no	—
165	C₄×D₄₇	—	4	2	no	—
166	C₄×D₄₇	AGL(1,ℤ/8)	1	4	yes	—
167	Dic₉₄	—	4	4	no	—
168	C₈×C₄₇	—	2	1	no	—
169	C₈×C₄₇	—	2	2	no	—
170	C₈×C₄₇	—	4	1	no	—
171	C₈×C₄₇	—	4	2	no	—
172	C₈×C₄₇	#131	1	2	yes	complemented
173	C₄₇⋊C₈	—	2	1	no	—
174	C₄₇⋊C₈	—	2	2	no	—
175	C₄₇⋊C₈	—	4	1	no	—
176	C₄₇⋊C₈	—	4	2	no	—
177	C₄₇⋊C₈	#131	1	2	yes	complemented
178	#17962	—	47	1	no	maximal, Sylow
179	C₂²×C₄₇	—	4	2	no	—
180	C₂²×C₄₇	—	4	2	no	—
181	C₂²×C₄₇	—	4	2	no	—
182	C₂²×C₄₇	C₂×C₄×D₄	1	1	yes	characteristic
183	C₂×D₄₇	—	2	1	no	—
184	C₂×D₄₇	—	2	1	no	—
185	C₂×D₄₇	—	4	2	no	—
186	C₂×D₄₇	—	4	2	no	—
187	C₂×D₄₇	—	4	2	no	—
188	C₂×D₄₇	#442	1	2	yes	—
189	C₄×C₄₇	—	2	1	no	—
190	C₄×C₄₇	—	4	2	no	—
191	C₄×C₄₇	C₂×#131	1	1	yes	characteristic
192	C₄×C₄₇	C₂×#131	1	1	yes	characteristic
193	C₄×C₄₇	C₂×AGL(1,ℤ/8)	1	2	yes	—
194	Dic₄₇	—	2	1	no	—
195	Dic₄₇	—	4	2	no	—
196	Dic₄₇	#442	1	2	yes	—
197	Dic₄₇	#444	1	2	yes	—
198	#3169	—	47	1	no	—
199	#2931	—	47	2	no	—
200	#1594	—	47	1	no	—
201	#1594	—	47	1	no	—
202	#1594	—	47	2	no	—
203	#1580	—	47	2	no	—
204	#1580	—	47	1	no	—
205	#1580	D₄₇	1	1	yes	characteristic, complemented
206	#1566	—	47	1	no	—
207	#1492	—	47	2	no	—
208	C₂×#322	—	47	1	no	—
209	C₂×C₄₇	—	8	2	no	—
210	C₂×C₄₇	#2931	1	1	yes	characteristic
211	C₂×C₄₇	C₂×#442	1	1	yes	characteristic
212	C₂×C₄₇	C₂×#444	1	1	yes	characteristic
213	D₄₇	—	2	2	no	—
214	D₄₇	—	8	2	no	—
215	C₂×#131	—	94	2	no	—
216	#532	—	47	2	no	—
217	#500	—	47	1	no	—
218	#493	—	47	1	no	—
219	#486	—	47	2	no	—
220	#466	—	47	1	no	—
221	#466	—	47	1	no	—
222	#466	—	47	2	no	—
223	C₄×D₈	—	47	2	no	—
224	C₄×D₈	—	47	1	no	—
225	C₄×D₈	C₂×D₄₇	1	1	yes	characteristic
226	#436	—	47	2	no	—
227	#436	—	47	2	no	—
228	#436	—	94	2	no	—
229	C₈×D₄	—	47	2	no	—
230	C₈×D₄	—	94	2	no	—
231	C₈×D₄	C₂×D₄₇	1	2	yes	—
232	#423	—	47	2	no	—
233	#408	—	94	2	no	—
234	C₂×C₄×C₈	—	47	1	no	—
235	C₂×C₄×C₈	—	47	1	no	—
236	C₂×C₄×C₈	—	47	1	no	—
237	#334	—	47	2	no	—
238	#334	—	47	1	no	—
239	#334	C₂×D₄₇	1	1	yes	characteristic
240	D₄⋊C₈	—	47	2	no	—
241	D₄⋊C₈	—	47	2	no	—
242	D₄⋊C₈	—	47	2	no	—
243	D₄⋊C₈	C₂×D₄₇	1	2	yes	—
244	#322	—	47	1	no	—
245	#322	—	47	1	no	—
246	#322	—	47	1	no	—
247	#322	C₂×D₄₇	1	1	yes	characteristic
248	C₄₇	#17962	1	1	yes	characteristic, complemented, Sylow
249	C₂×#41	—	94	2	no	—
250	C₂×D₈	—	47	2	no	—
251	C₂×D₈	—	47	1	no	—
252	C₂×D₈	C₄×D₄₇	1	1	yes	characteristic
253	#131	—	188	8	no	—
254	C₂×M₁₆	—	94	2	no	—
255	C₂×M₁₆	—	94	2	no	—
256	C₂×M₁₆	—	94	2	no	—
257	C₂²×C₈	—	2	2	no	—
258	C₂²×C₈	—	47	1	no	—
259	C₂²×C₈	—	47	1	no	—
260	C₂²×C₈	—	47	2	no	—
261	C₂²×C₈	—	94	1	no	—
262	C₂²×C₈	—	94	2	no	—
263	C₄⋊Q₈	—	47	2	no	—
264	#127	—	47	2	no	—
265	#124	—	94	2	no	—
266	#121	—	47	2	no	—
267	#121	—	47	2	no	—
268	#121	—	94	2	no	—
269	C₄×D₄	—	47	2	no	—
270	C₄×D₄	—	94	2	no	—
271	C₄×D₄	C₂²×D₄₇	1	2	yes	—
272	C₂×C₄²	—	47	1	no	—
273	#107	—	47	1	no	—
274	#107	—	47	2	no	—
275	#107	C₄×D₄₇	1	1	yes	characteristic
276	C₄⋊C₈	—	47	2	no	—
277	C₄⋊C₈	—	94	2	no	—
278	C₄⋊C₈	C₂²×D₄₇	1	2	yes	—
279	#102	—	47	2	no	—
280	#102	—	47	2	no	—
281	#102	—	47	2	no	—
282	#102	C₄×D₄₇	1	2	yes	—
283	C₂²⋊C₈	—	2	2	no	—
284	C₂²⋊C₈	—	94	2	no	—
285	C₂²⋊C₈	—	94	2	no	—
286	C₂²⋊C₈	—	94	2	no	—
287	C₄×C₈	—	47	1	no	—
288	C₄×C₈	—	47	1	no	—
289	C₄×C₈	—	47	2	no	—
290	C₄×C₈	—	47	1	no	—
291	C₄×C₈	—	47	1	no	—
292	C₄×C₈	—	47	1	no	—
293	C₄×C₈	—	94	1	no	—
294	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
295	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
296	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
297	#41	—	188	4	no	—
298	#41	—	188	4	no	—
299	C₂×Q₈	—	94	2	no	—
300	C₂×D₄	—	47	2	no	—
301	C₂×D₄	—	94	2	no	—
302	C₂×D₄	—	94	2	no	—
303	C₂×D₄	—	94	2	no	—
304	C₂×D₄	—	94	2	no	—
305	C₂×D₄	C₂×C₄×D₄₇	1	2	yes	—
306	C₂²×C₄	—	2	2	no	—
307	C₂²×C₄	—	47	1	no	—
308	C₂²×C₄	—	47	1	no	—
309	C₂²×C₄	—	47	1	no	—
310	C₂²×C₄	—	94	2	no	—
311	D₈	—	2	2	no	—
312	D₈	—	94	4	no	—
313	D₈	—	94	2	no	—
314	M₁₆	—	188	4	no	—
315	M₁₆	—	188	4	no	—
316	M₁₆	—	188	4	no	—
317	C₂×C₈	—	2	2	no	—
318	C₂×C₈	—	2	1	no	—
319	C₂×C₈	—	4	4	no	—
320	C₂×C₈	—	47	1	no	—
321	C₂×C₈	—	47	1	no	—
322	C₂×C₈	—	47	2	no	—
323	C₂×C₈	—	94	2	no	—
324	C₂×C₈	—	94	4	no	—
325	C₂×C₈	—	94	2	no	—
326	C₂×C₈	—	94	2	no	—
327	C₂×C₈	—	94	1	no	—
328	C₂×C₈	—	188	4	no	—
329	C₂×C₈	—	188	2	no	—
330	C₂×C₈	C₂×C₄×D₄₇	1	1	yes	characteristic
331	C₂×C₈	C₂×C₄×D₄₇	1	1	yes	characteristic
332	C₂×C₈	D₄×D₄₇	1	2	yes	—
333	C₄⋊C₄	—	47	2	no	—
334	C₄⋊C₄	—	94	2	no	—
335	C₄⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
336	C₂²⋊C₄	—	2	2	no	—
337	C₂²⋊C₄	—	94	2	no	—
338	C₂²⋊C₄	—	94	2	no	—
339	C₂²⋊C₄	—	94	2	no	—
340	C₄²	—	47	1	no	—
341	C₄²	—	47	1	no	—
342	C₄²	—	47	1	no	—
343	C₄²	C₂³×D₄₇	1	1	yes	characteristic
344	C₂³	—	2	2	no	—
345	C₂³	—	47	1	no	—
346	C₂³	—	94	2	no	—
347	Q₈	—	188	4	no	—
348	D₄	—	2	2	no	—
349	D₄	—	2	2	no	—
350	D₄	—	94	2	no	—
351	D₄	—	94	2	no	—
352	D₄	—	188	4	no	—
353	D₄	—	188	4	no	—
354	D₄	—	188	4	no	—
355	D₄	—	188	4	no	—
356	C₂×C₄	—	2	2	no	—
357	C₂×C₄	—	4	2	no	—
358	C₂×C₄	—	4	2	no	—
359	C₂×C₄	—	47	1	no	—
360	C₂×C₄	—	47	1	no	—
361	C₂×C₄	—	47	4	no	—
362	C₂×C₄	—	47	1	no	—
363	C₂×C₄	—	94	2	no	—
364	C₂×C₄	—	94	1	no	—
365	C₂×C₄	—	94	1	no	—
366	C₂×C₄	—	94	2	no	—
367	C₂×C₄	—	188	2	no	—
368	C₂×C₄	—	188	2	no	—
369	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
370	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
371	C₂×C₄	#41×D₄₇	1	1	yes	characteristic
372	C₈	—	2	1	no	—
373	C₈	—	2	2	no	—
374	C₈	—	4	1	no	—
375	C₈	—	4	2	no	—
376	C₈	—	47	2	no	—
377	C₈	—	94	1	no	—
378	C₈	—	94	2	no	—
379	C₈	—	188	1	no	—
380	C₈	—	188	2	no	—
381	C₈	#13094030	1	2	yes	complemented
382	C₂²	—	4	2	no	—
383	C₂²	—	4	2	no	—
384	C₂²	—	4	2	no	—
385	C₂²	—	47	2	no	—
386	C₂²	—	94	1	no	—
387	C₂²	—	94	1	no	—
388	C₂²	—	188	2	no	—
389	C₂²	—	188	2	no	—
390	C₂²	—	188	2	no	—
391	C₂²	C₄×D₄×D₄₇	1	1	yes	characteristic
392	C₄	—	2	1	no	—
393	C₄	—	4	2	no	—
394	C₄	—	47	2	no	—
395	C₄	—	47	2	no	—
396	C₄	—	94	1	no	—
397	C₄	—	188	2	no	—
398	C₄	#131×D₄₇	1	1	yes	characteristic
399	C₄	C₂×#13094030	1	1	yes	characteristic
400	C₄	AGL(1,ℤ/8)×D₄₇	1	2	yes	—
401	C₂	—	8	2	no	—
402	C₂	—	94	2	no	—
403	C₂	—	376	2	no	—
404	C₂	#20252095	1	1	yes	characteristic
405	C₂	#442×D₄₇	1	1	yes	characteristic
406	C₂	#444×D₄₇	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₄₇
commutator	C₂×C₄×C₄₇	C₂³×C₄
Frattini	C₄²	C₂³×D₄₇
Fitting	C₄₇×#1580	C₂
socle	C₂²×C₄₇	C₂×C₄×D₄
prime radical	#20253964	C₂
cosocle	C₄²×C₄₇	C₂⁴
hypercenter	#1580	D₄₇
hypocenter	C₄₇	#17962
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂×C₄ ◁ C₄×C₈ ◁ #1580

Complements

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

N	H ≅ G/N	type
2. #20252095	C₂	semidirect
3. #20242302	C₂	semidirect
4. #20242301	C₂	semidirect
5. #20242299	C₂	semidirect
6. #20242213	C₂	semidirect
7. #20242210	C₂	semidirect
8. #20242142	C₂	semidirect
9. #20241837	C₂	semidirect
10. #322×D₄₇	C₂	semidirect
11. C₄₇×#1580	C₂	semidirect
172. C₈×C₄₇	#131	semidirect
177. C₄₇⋊C₈	#131	semidirect
205. #1580	D₄₇	semidirect
248. C₄₇	#17962	semidirect
381. C₈	#13094030	semidirect

Maximal subgroups

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

subgroup	index
#20253964	2
#20252095	2
#20242302	2
#20242301	2
#20242299	2
#20242213	2
#20242210	2
#20242142	2
#20241837	2
#322×D₄₇	2
C₄₇×#1580	2
#17962	47