Subgroups — #26233972

Order 12032.

866 conjugacy classes of subgroups.

The subgroup lattice has 398 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#107×D₄₇	C₂	1	1	yes	maximal, characteristic
2	#20246253	C₂	1	2	yes	maximal
3	#20244126	C₂	1	1	yes	maximal, characteristic, complemented
4	#20244124	C₂	1	1	yes	maximal, characteristic, complemented
5	#20243980	C₂	1	2	yes	maximal, complemented
6	#20243978	C₂	1	2	yes	maximal, complemented
7	#20243473	C₂	1	2	yes	maximal
8	#20243410	C₂	1	1	yes	maximal, characteristic
9	#20243287	C₂	1	1	yes	maximal, characteristic, complemented
10	#20243165	C₂	1	1	yes	maximal, characteristic
11	C₄₇×#1776	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂²×C₈×D₄₇	C₂²	1	1	yes	characteristic
13	C₂×#13093981	—	2	2	no	—
14	C₂×C₄⋊C₄×D₄₇	C₂²	1	2	yes	—
15	C₂×#13093958	C₂²	1	1	yes	characteristic
16	C₂×#13093957	C₂²	1	2	yes	—
17	#107×D₄₇	C₄	1	8	yes	complemented
18	C₂×#13093956	C₂²	1	1	yes	characteristic
19	C₂×(C₂×D₄₇)⋊C₈	C₂²	1	1	yes	characteristic
20	C₂×#13093934	C₂²	1	1	yes	characteristic
21	#15689021	C₂²	1	2	yes	—
22	#15689019	C₂²	1	2	yes	—
23	#15689007	—	2	2	no	—
24	#15689005	—	2	2	no	—
25	#15688985	—	2	2	no	—
26	#15688980	C₂²	1	2	yes	—
27	C₄⋊C₄×Dic₄₇	C₂²	1	2	yes	—
28	C₄×(C₂×D₄₇)⋊C₄	C₂²	1	1	yes	characteristic
29	#15688886	C₂²	1	2	yes	—
30	#15688885	C₂²	1	2	yes	—
31	#15688885	C₂²	1	2	yes	—
32	#15688885	C₂²	1	2	yes	—
33	#15688878	C₂²	1	1	yes	characteristic
34	#15688877	C₂²	1	1	yes	characteristic
35	C₂×#107×C₄₇	C₂²	1	1	yes	characteristic
36	C₂×#106×C₄₇	C₂²	1	1	yes	characteristic
37	C₂×#97×C₄₇	C₂²	1	1	yes	characteristic
38	C₄×C₄⋊C₄×C₄₇	C₂²	1	2	yes	—
39	C₄₇×#340	C₂²	1	2	yes	—
40	C₂²×C₄×D₄₇	—	2	2	no	—
41	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
42	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
43	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
44	C₂×C₈×D₄₇	—	2	2	no	—
45	C₂×C₈×D₄₇	—	2	2	no	—
46	C₂×C₈×D₄₇	C₂×C₄	1	4	yes	—
47	#13093981	—	4	8	no	—
48	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
49	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
50	C₂×Dic₄₇⋊C₄	—	2	2	no	—
51	C₂×Dic₄₇⋊C₄	—	2	2	no	—
52	C₂×Dic₄₇⋊C₄	—	2	2	no	—
53	C₄⋊C₄×D₄₇	—	2	4	no	—
54	C₄⋊C₄×D₄₇	C₂×C₄	1	8	yes	—
55	C₂×(C₂×D₄₇)⋊C₄	—	2	2	no	—
56	C₂×(C₂×D₄₇)⋊C₄	D₄	1	2	yes	—
57	C₂×C₄×Dic₄₇	—	2	2	no	—
58	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
59	#13093958	C₂×C₄	1	4	yes	—
60	#13093957	C₂×C₄	1	8	yes	—
61	#13093956	—	2	2	no	—
62	(C₂×D₄₇)⋊C₈	—	2	2	no	—
63	#13093934	—	2	2	no	—
64	C₄₇⋊#95	—	2	2	no	—
65	C₄₇⋊#95	—	2	2	no	—
66	C₄₇⋊#95	—	2	2	no	—
67	C₄₇⋊#95	—	2	2	no	—
68	C₄₇⋊#95	D₄	1	2	yes	—
69	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
70	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
71	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
72	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
73	C₂×C₄²×C₄₇	—	2	2	no	—
74	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
75	#107×C₄₇	C₂×C₄	1	4	yes	—
76	#106×C₄₇	—	2	2	no	—
77	#97×C₄₇	—	2	2	no	—
78	#95×C₄₇	—	2	2	no	—
79	C₂³×D₄₇	C₂×D₄	1	1	yes	characteristic
80	C₂²×C₄×C₄₇	—	2	2	no	—
81	C₂²×C₄×C₄₇	—	2	2	no	—
82	C₂²×C₄×C₄₇	C₂×D₄	1	2	yes	—
83	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
84	C₂²×Dic₄₇	—	2	2	no	—
85	C₂²×Dic₄₇	—	2	2	no	—
86	C₂²×Dic₄₇	C₂×D₄	1	2	yes	—
87	C₂²×Dic₄₇	C₂×D₄	1	1	yes	characteristic
88	C₂×C₄×D₄₇	—	2	1	no	—
89	C₂×C₄×D₄₇	—	2	1	no	—
90	C₂×C₄×D₄₇	—	2	1	no	—
91	C₂×C₄×D₄₇	—	2	1	no	—
92	C₂×C₄×D₄₇	—	2	8	no	—
93	C₂×C₄×D₄₇	—	4	4	no	—
94	C₂×C₄×D₄₇	—	4	4	no	—
95	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
96	C₂×C₄×D₄₇	#41	1	2	yes	—
97	C₂×C₈×C₄₇	—	2	1	no	—
98	C₂×C₈×C₄₇	—	2	1	no	—
99	C₂×C₈×C₄₇	—	2	1	no	—
100	C₂×C₈×C₄₇	C₂²×C₄	1	2	yes	—
101	C₂×C₈×C₄₇	#41	1	2	yes	—
102	C₂×C₈×C₄₇	#41	1	2	yes	—
103	C₄⋊C₄×C₄₇	—	2	2	no	—
104	C₄⋊C₄×C₄₇	—	2	2	no	—
105	C₄⋊C₄×C₄₇	—	2	2	no	—
106	C₄⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
107	C₄²×C₄₇	—	2	1	no	—
108	C₄²×C₄₇	—	2	1	no	—
109	C₄²×C₄₇	—	4	4	no	—
110	(C₂×D₄₇)⋊C₄	—	2	4	no	—
111	(C₂×D₄₇)⋊C₄	—	4	4	no	—
112	C₄⋊Dic₄₇	—	2	2	no	—
113	C₄⋊Dic₄₇	—	2	2	no	—
114	C₄⋊Dic₄₇	—	2	2	no	—
115	C₄⋊Dic₄₇	C₂²×C₄	1	4	yes	—
116	Dic₄₇⋊C₄	—	2	8	no	—
117	Dic₄₇⋊C₄	—	4	4	no	—
118	Dic₄₇⋊C₄	—	4	4	no	—
119	C₄×Dic₄₇	—	2	1	no	—
120	C₄×Dic₄₇	—	2	1	no	—
121	C₄×Dic₄₇	—	4	4	no	—
122	C₂×C₄₇⋊C₈	—	2	1	no	—
123	C₂×C₄₇⋊C₈	—	2	1	no	—
124	C₂×C₄₇⋊C₈	—	2	1	no	—
125	C₂×C₄₇⋊C₈	—	2	1	no	—
126	C₂×C₄₇⋊C₈	—	2	1	no	—
127	C₂×C₄₇⋊C₈	C₂²×C₄	1	2	yes	—
128	C₈×D₄₇	—	2	8	no	—
129	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
130	C₂²×D₄₇	—	2	1	no	—
131	C₂²×D₄₇	—	2	1	no	—
132	C₂²×D₄₇	—	2	2	no	—
133	C₂²×D₄₇	C₄×D₄	1	2	yes	—
134	C₂²×D₄₇	AGL(1,ℤ/8)	1	4	yes	—
135	C₂×C₄×C₄₇	—	2	4	no	—
136	C₂×C₄×C₄₇	—	2	2	no	—
137	C₂×C₄×C₄₇	—	2	2	no	—
138	C₂×C₄×C₄₇	—	2	2	no	—
139	C₂×C₄×C₄₇	—	4	2	no	—
140	C₂×C₄×C₄₇	—	4	2	no	—
141	C₂×C₄×C₄₇	—	4	2	no	—
142	C₂×C₄×C₄₇	—	4	2	no	—
143	C₂×C₄×C₄₇	—	4	2	no	—
144	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
145	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
146	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
147	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
148	C₂×C₄×C₄₇	2₋¹⁺⁴	1	1	yes	characteristic
149	C₂×C₄×C₄₇	2₋¹⁺⁴	1	1	yes	characteristic
150	C₂×Dic₄₇	—	2	1	no	—
151	C₂×Dic₄₇	—	2	1	no	—
152	C₂×Dic₄₇	—	2	4	no	—
153	C₂×Dic₄₇	—	2	2	no	—
154	C₂×Dic₄₇	—	2	2	no	—
155	C₂×Dic₄₇	—	2	2	no	—
156	C₂×Dic₄₇	—	4	2	no	—
157	C₂×Dic₄₇	—	4	2	no	—
158	C₂×Dic₄₇	—	4	2	no	—
159	C₂×Dic₄₇	—	4	2	no	—
160	C₂×Dic₄₇	—	4	2	no	—
161	C₂×Dic₄₇	C₄×D₄	1	2	yes	—
162	C₄×D₄₇	—	2	2	no	—
163	C₄×D₄₇	—	2	2	no	—
164	C₄×D₄₇	—	2	2	no	—
165	C₄×D₄₇	—	2	2	no	—
166	C₄×D₄₇	—	4	16	no	—
167	C₈×C₄₇	—	4	1	no	—
168	C₈×C₄₇	#117	1	4	yes	complemented
169	C₄₇⋊C₈	—	2	2	no	—
170	C₄₇⋊C₈	—	4	1	no	—
171	#22617	—	47	1	no	maximal, Sylow
172	C₂²×C₄₇	C₂×C₄×D₄	1	1	yes	characteristic
173	C₂²×C₄₇	#547	1	1	yes	characteristic
174	C₂²×C₄₇	#547	1	1	yes	characteristic
175	C₂²×C₄₇	C₂×AGL(1,ℤ/8)	1	2	yes	—
176	C₂²×C₄₇	#578	1	2	yes	—
177	C₂×D₄₇	—	2	4	no	—
178	C₂×D₄₇	—	2	4	no	—
179	C₂×D₄₇	—	2	2	no	—
180	C₂×D₄₇	—	2	2	no	—
181	C₂×D₄₇	#442	1	4	yes	—
182	C₄×C₄₇	—	4	2	no	—
183	C₄×C₄₇	—	4	4	no	—
184	C₄×C₄₇	—	8	2	no	—
185	C₄×C₄₇	C₂×#117	1	1	yes	characteristic
186	C₄×C₄₇	#519	1	1	yes	characteristic
187	C₄×C₄₇	#552	1	1	yes	characteristic
188	C₄×C₄₇	#552	1	1	yes	characteristic
189	Dic₄₇	—	2	2	no	—
190	Dic₄₇	—	4	2	no	—
191	Dic₄₇	—	4	4	no	—
192	Dic₄₇	—	8	2	no	—
193	C₂²×#107	—	47	1	no	—
194	#2344	—	47	2	no	—
195	#1943	—	47	1	no	—
196	#1943	—	47	1	no	—
197	#1921	—	47	2	no	—
198	#1921	—	47	2	no	—
199	#1823	—	47	2	no	—
200	#1807	—	47	1	no	—
201	#1776	—	47	1	no	—
202	#1776	D₄₇	1	1	yes	characteristic, complemented
203	#1752	—	47	1	no	—
204	C₂×C₄₇	#2344	1	1	yes	characteristic
205	C₂×C₄₇	C₂×#442	1	1	yes	characteristic
206	C₂×C₄₇	#2950	1	1	yes	characteristic
207	C₂×C₄₇	#3343	1	2	yes	—
208	C₂×C₄₇	#3343	1	2	yes	—
209	D₄₇	—	2	4	no	—
210	C₂³×C₈	—	47	1	no	—
211	C₂×#117	—	94	2	no	—
212	C₂²×C₄⋊C₄	—	47	2	no	—
213	C₂×#107	—	47	1	no	—
214	C₂×#107	—	47	2	no	—
215	C₂×#107	—	47	8	no	—
216	C₂×#107	C₂×D₄₇	1	1	yes	characteristic
217	C₂×#106	—	47	1	no	—
218	C₂×#106	C₂×D₄₇	1	1	yes	characteristic
219	C₂×C₂²⋊C₈	—	47	1	no	—
220	C₂×#97	—	47	1	no	—
221	C₂×#97	C₂×D₄₇	1	1	yes	characteristic
222	#389	—	47	2	no	—
223	#389	—	47	2	no	—
224	#387	—	94	2	no	—
225	#387	—	94	2	no	—
226	#381	—	94	2	no	—
227	#380	—	47	2	no	—
228	C₄×C₄⋊C₄	—	47	2	no	—
229	C₄×C₄⋊C₄	C₂×D₄₇	1	2	yes	—
230	C₄×C₂²⋊C₄	—	47	1	no	—
231	#340	—	47	2	no	—
232	#340	—	47	2	no	—
233	#340	—	47	2	no	—
234	#340	—	47	2	no	—
235	#340	C₂×D₄₇	1	2	yes	—
236	#336	—	47	1	no	—
237	#336	—	47	1	no	—
238	C₄₇	#22617	1	1	yes	characteristic, complemented, Sylow
239	C₂³×C₄	—	47	1	no	—
240	C₂³×C₄	—	94	2	no	—
241	C₂²×C₈	—	47	1	no	—
242	C₂²×C₈	—	47	4	no	—
243	C₂²×C₈	—	47	1	no	—
244	C₂²×C₈	—	94	2	no	—
245	C₂²×C₈	—	94	2	no	—
246	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
247	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
248	#117	—	188	8	no	—
249	C₂×C₄⋊C₄	—	47	2	no	—
250	C₂×C₄⋊C₄	—	47	8	no	—
251	C₂×C₄⋊C₄	—	47	2	no	—
252	C₂×C₄⋊C₄	—	94	4	no	—
253	C₂×C₄⋊C₄	—	94	2	no	—
254	C₂×C₄⋊C₄	—	94	2	no	—
255	C₂×C₄⋊C₄	—	94	2	no	—
256	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
257	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
258	C₂×C₂²⋊C₄	—	47	2	no	—
259	C₂×C₂²⋊C₄	—	94	2	no	—
260	C₂×C₄²	—	2	2	no	—
261	C₂×C₄²	—	47	1	no	—
262	C₂×C₄²	—	94	2	no	—
263	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
264	#107	—	47	4	no	—
265	#107	—	47	8	no	—
266	#107	C₄×D₄₇	1	4	yes	—
267	#106	—	2	2	no	—
268	#106	—	94	2	no	—
269	C₂²⋊C₈	—	94	2	no	—
270	#97	—	2	2	no	—
271	#97	—	94	2	no	—
272	#95	—	2	2	no	—
273	#95	—	47	2	no	—
274	#95	—	94	2	no	—
275	#95	—	94	2	no	—
276	#95	—	94	2	no	—
277	#95	—	94	2	no	—
278	C₂⁴	—	47	1	no	—
279	C₂²×C₄	—	2	2	no	—
280	C₂²×C₄	—	2	2	no	—
281	C₂²×C₄	—	47	1	no	—
282	C₂²×C₄	—	47	2	no	—
283	C₂²×C₄	—	47	2	no	—
284	C₂²×C₄	—	47	2	no	—
285	C₂²×C₄	—	94	8	no	—
286	C₂²×C₄	—	94	1	no	—
287	C₂²×C₄	—	94	1	no	—
288	C₂²×C₄	—	94	1	no	—
289	C₂²×C₄	—	94	1	no	—
290	C₂²×C₄	—	94	2	no	—
291	C₂²×C₄	—	94	2	no	—
292	C₂²×C₄	—	188	4	no	—
293	C₂²×C₄	—	188	4	no	—
294	C₂²×C₄	D₄×D₄₇	1	2	yes	—
295	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
296	C₂×C₈	—	2	1	no	—
297	C₂×C₈	—	2	1	no	—
298	C₂×C₈	—	2	1	no	—
299	C₂×C₈	—	47	2	no	—
300	C₂×C₈	—	94	1	no	—
301	C₂×C₈	—	94	1	no	—
302	C₂×C₈	—	94	8	no	—
303	C₂×C₈	—	94	1	no	—
304	C₂×C₈	—	94	1	no	—
305	C₂×C₈	—	94	1	no	—
306	C₂×C₈	C₂×C₄×D₄₇	1	2	yes	—
307	C₂×C₈	#10625350	1	2	yes	—
308	C₂×C₈	#10625350	1	2	yes	—
309	C₄⋊C₄	—	2	2	no	—
310	C₄⋊C₄	—	2	2	no	—
311	C₄⋊C₄	—	2	2	no	—
312	C₄⋊C₄	—	47	4	no	—
313	C₄⋊C₄	—	94	8	no	—
314	C₄⋊C₄	—	94	2	no	—
315	C₄⋊C₄	—	94	2	no	—
316	C₄⋊C₄	—	94	2	no	—
317	C₄⋊C₄	—	188	4	no	—
318	C₄⋊C₄	—	188	4	no	—
319	C₄⋊C₄	C₂×C₄×D₄₇	1	4	yes	—
320	C₂²⋊C₄	—	94	4	no	—
321	C₂²⋊C₄	—	188	4	no	—
322	C₄²	—	2	1	no	—
323	C₄²	—	2	1	no	—
324	C₄²	—	4	4	no	—
325	C₄²	—	94	1	no	—
326	C₄²	—	94	1	no	—
327	C₄²	—	188	4	no	—
328	C₂³	—	47	2	no	—
329	C₂³	—	47	4	no	—
330	C₂³	—	94	1	no	—
331	C₂³	—	94	1	no	—
332	C₂³	—	94	2	no	—
333	C₂³	C₂×D₄×D₄₇	1	1	yes	characteristic
334	C₂×C₄	—	2	2	no	—
335	C₂×C₄	—	2	4	no	—
336	C₂×C₄	—	2	2	no	—
337	C₂×C₄	—	2	2	no	—
338	C₂×C₄	—	4	2	no	—
339	C₂×C₄	—	4	2	no	—
340	C₂×C₄	—	4	2	no	—
341	C₂×C₄	—	4	2	no	—
342	C₂×C₄	—	4	2	no	—
343	C₂×C₄	—	47	2	no	—
344	C₂×C₄	—	94	1	no	—
345	C₂×C₄	—	94	1	no	—
346	C₂×C₄	—	94	2	no	—
347	C₂×C₄	—	94	2	no	—
348	C₂×C₄	—	94	2	no	—
349	C₂×C₄	—	94	2	no	—
350	C₂×C₄	—	94	2	no	—
351	C₂×C₄	—	94	4	no	—
352	C₂×C₄	—	94	2	no	—
353	C₂×C₄	—	94	2	no	—
354	C₂×C₄	—	188	16	no	—
355	C₂×C₄	—	188	2	no	—
356	C₂×C₄	—	188	2	no	—
357	C₂×C₄	—	188	2	no	—
358	C₂×C₄	—	188	2	no	—
359	C₂×C₄	—	188	2	no	—
360	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
361	C₂×C₄	#41×D₄₇	1	1	yes	characteristic
362	C₂×C₄	C₂×#10625350	1	1	yes	characteristic
363	C₂×C₄	C₂×#10625350	1	1	yes	characteristic
364	C₂×C₄	#13094071	1	1	yes	characteristic
365	C₂×C₄	#13094072	1	1	yes	characteristic
366	C₈	—	4	1	no	—
367	C₈	—	94	2	no	—
368	C₈	—	188	1	no	—
369	C₈	#13093981	1	4	yes	complemented
370	C₂²	—	47	4	no	—
371	C₂²	—	94	4	no	—
372	C₂²	—	94	4	no	—
373	C₂²	—	94	2	no	—
374	C₂²	—	94	2	no	—
375	C₂²	C₄×D₄×D₄₇	1	1	yes	characteristic
376	C₂²	#15689774	1	1	yes	characteristic
377	C₂²	#15689778	1	1	yes	characteristic
378	C₂²	AGL(1,ℤ/8)×D₄₇	1	2	yes	—
379	C₂²	#15689939	1	2	yes	—
380	C₄	—	4	4	no	—
381	C₄	—	4	2	no	—
382	C₄	—	8	2	no	—
383	C₄	—	94	2	no	—
384	C₄	—	376	2	no	—
385	C₄	—	188	4	no	—
386	C₄	—	188	2	no	—
387	C₄	C₂×#13093981	1	1	yes	characteristic
388	C₄	#15689599	1	1	yes	characteristic
389	C₄	#15689812	1	1	yes	characteristic
390	C₄	#15689814	1	1	yes	characteristic
391	C₂	—	94	4	no	—
392	C₂	#20246253	1	1	yes	characteristic
393	C₂	#442×D₄₇	1	1	yes	characteristic
394	C₂	#20252253	1	1	yes	characteristic
395	C₂	#20255829	1	2	yes	—
396	C₂	#20255833	1	2	yes	—

	subgroup	G/H
center	C₂³	C₂×D₄×D₄₇
commutator	C₂×C₄×C₄₇	C₂³×C₄
Frattini	C₂²×C₄	C₂³×D₄₇
Fitting	C₄₇×#1776	C₂
socle	C₂³×C₄₇	C₂²×D₄
prime radical	C₂³×D₄₇	C₂×D₄
cosocle	C₂²×C₄×C₄₇	C₂⁴
hypercenter	#1776	D₄₇
hypocenter	C₄₇	#22617
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ C₂×C₄² ◁ #1776

Complements

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

N	H ≅ G/N	type
3. #20244126	C₂	semidirect
4. #20244124	C₂	semidirect
5. #20243980	C₂	semidirect
6. #20243978	C₂	semidirect
9. #20243287	C₂	semidirect
11. C₄₇×#1776	C₂	semidirect
17. #107×D₄₇	C₄	semidirect
168. C₈×C₄₇	#117	semidirect
202. #1776	D₄₇	semidirect
238. C₄₇	#22617	semidirect
369. C₈	#13093981	semidirect

Maximal subgroups

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

subgroup	index
C₂×#107×D₄₇	2
#20246253	2
#20244126	2
#20244124	2
#20243980	2
#20243978	2
#20243473	2
#20243410	2
#20243287	2
#20243165	2
C₄₇×#1776	2
#22617	47