Subgroups — #26235281

Order 12032.

642 conjugacy classes of subgroups.

The subgroup lattice has 394 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	M₁₆×Dic₉₄	C₂	1	1	yes	maximal, characteristic
2	#20252339	C₂	1	1	yes	maximal, characteristic
3	C₂×#15689247	C₂	1	1	yes	maximal, characteristic
4	#20244164	C₂	1	1	yes	maximal, characteristic
5	#20244162	C₂	1	2	yes	maximal
6	#20244160	C₂	1	2	yes	maximal
7	#20243525	C₂	1	1	yes	maximal, characteristic
8	#20243524	C₂	1	2	yes	maximal
9	#108×Dic₄₇	C₂	1	2	yes	maximal
10	C₄×#13093959	C₂	1	1	yes	maximal, characteristic
11	C₄₇×#1950	C₂	1	1	yes	maximal, characteristic
12	C₂×C₄×Dic₉₄	C₂²	1	1	yes	characteristic
13	#15689253	—	2	1	no	—
14	#15689252	—	2	2	no	—
15	#15689251	—	2	2	no	—
16	#15689250	—	2	1	no	—
17	C₈×Dic₉₄	—	2	1	no	—
18	#15689247	—	2	1	no	—
19	#15689247	C₄	1	4	yes	—
20	#15689247	C₄	1	2	yes	—
21	#15689247	C₄	1	2	yes	—
22	C₂×#13093960	C₂²	1	2	yes	—
23	C₂×#13093959	C₂²	1	1	yes	characteristic
24	C₂×#13093959	C₂²	1	1	yes	characteristic
25	#15689147	C₂²	1	1	yes	characteristic
26	#15689146	C₂²	1	2	yes	—
27	#15689146	C₂²	1	2	yes	—
28	C₂×Dic₄₇⋊C₈	C₂²	1	2	yes	—
29	C₄×#10625329	C₂²	1	1	yes	characteristic
30	M₁₆×Dic₄₇	C₂²	1	2	yes	—
31	M₁₆×Dic₄₇	C₂²	1	2	yes	—
32	C₂×C₄×C₄₇⋊C₈	C₂²	1	1	yes	characteristic
33	C₂×C₈×Dic₄₇	C₂²	1	2	yes	—
34	#15688888	C₂²	1	2	yes	—
35	#15688887	C₂²	1	1	yes	characteristic
36	#15688887	C₂²	1	2	yes	—
37	#15688887	C₂²	1	2	yes	—
38	#15688887	C₂²	1	1	yes	characteristic
39	C₂×#108×C₄₇	C₂²	1	2	yes	—
40	C₄₇×#423	C₂²	1	1	yes	characteristic
41	C₂×C₄⋊C₈×C₄₇	C₂²	1	1	yes	characteristic
42	C₄×M₁₆×C₄₇	C₂²	1	1	yes	characteristic
43	C₄₇×#341	C₂²	1	2	yes	—
44	C₂²×Dic₉₄	Q₈	1	1	yes	characteristic
45	C₂×#10625329	C₂³	1	2	yes	—
46	C₂×#10625329	C₂³	1	1	yes	characteristic
47	C₂×#10625329	C₂³	1	1	yes	characteristic
48	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
49	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
50	C₄×Dic₉₄	C₂×C₄	1	1	yes	characteristic
51	C₄×Dic₉₄	C₂×C₄	1	2	yes	—
52	C₄×Dic₉₄	C₂×C₄	1	1	yes	characteristic
53	C₄×Dic₉₄	D₄	1	1	yes	characteristic
54	C₄×Dic₉₄	D₄	1	1	yes	characteristic
55	C₄×Dic₉₄	D₄	1	2	yes	—
56	C₂×C₄⋊Dic₄₇	Q₈	1	1	yes	characteristic
57	C₂×Dic₄₇⋊C₄	Q₈	1	2	yes	—
58	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
59	#13093960	—	2	4	no	—
60	#13093959	—	2	2	no	—
61	#13093959	—	2	2	no	—
62	C₄⋊(C₄₇⋊C₈)	—	2	1	no	—
63	C₄⋊(C₄₇⋊C₈)	—	2	1	no	—
64	Dic₄₇⋊C₈	—	2	2	no	—
65	Dic₄₇⋊C₈	—	2	2	no	—
66	Dic₄₇⋊C₈	—	2	2	no	—
67	Dic₄₇⋊C₈	—	2	2	no	—
68	Dic₄₇⋊C₈	C₂×C₄	1	4	yes	—
69	Dic₄₇⋊C₈	C₂×C₄	1	4	yes	—
70	#13093935	—	2	1	no	—
71	#13093934	—	2	2	no	—
72	#13093934	—	2	2	no	—
73	C₄×C₄₇⋊C₈	—	2	1	no	—
74	C₄×C₄₇⋊C₈	C₂×C₄	1	2	yes	—
75	C₄×C₄₇⋊C₈	C₂×C₄	1	2	yes	—
76	C₈×Dic₄₇	—	2	2	no	—
77	C₈×Dic₄₇	—	2	2	no	—
78	C₈×Dic₄₇	C₂×C₄	1	4	yes	—
79	C₈×Dic₄₇	C₂×C₄	1	4	yes	—
80	C₂×M₁₆×C₄₇	C₂³	1	2	yes	—
81	C₂×M₁₆×C₄₇	C₂³	1	1	yes	characteristic
82	C₂×M₁₆×C₄₇	C₂³	1	1	yes	characteristic
83	C₂²×C₈×C₄₇	C₂³	1	2	yes	—
84	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
85	#108×C₄₇	—	2	4	no	—
86	C₄⋊C₈×C₄₇	—	2	1	no	—
87	C₄⋊C₈×C₄₇	—	2	1	no	—
88	C₄⋊C₈×C₄₇	C₂×C₄	1	2	yes	—
89	C₄⋊C₈×C₄₇	C₂×C₄	1	2	yes	—
90	#97×C₄₇	—	2	1	no	—
91	C₄×C₈×C₄₇	—	2	1	no	—
92	C₂²×C₄×C₄₇	C₂×Q₈	1	1	yes	characteristic
93	C₂²×C₄×C₄₇	C₂×Q₈	1	1	yes	characteristic
94	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
95	C₂²×Dic₄₇	C₂×Q₈	1	2	yes	—
96	C₂²×Dic₄₇	C₂×Q₈	1	2	yes	—
97	C₂×Dic₉₄	—	2	4	no	—
98	C₂×Dic₉₄	C₄⋊C₄	1	1	yes	characteristic
99	C₂×Dic₉₄	C₄⋊C₄	1	2	yes	—
100	C₂×Dic₉₄	C₄⋊C₄	1	1	yes	characteristic
101	M₁₆×C₄₇	—	2	1	no	—
102	M₁₆×C₄₇	—	2	2	no	—
103	M₁₆×C₄₇	—	2	1	no	—
104	M₁₆×C₄₇	—	2	2	no	—
105	M₁₆×C₄₇	—	2	1	no	—
106	M₁₆×C₄₇	#41	1	2	yes	—
107	C₂×C₈×C₄₇	—	2	1	no	—
108	C₂×C₈×C₄₇	—	2	2	no	—
109	C₂×C₈×C₄₇	—	2	2	no	—
110	C₂×C₈×C₄₇	—	2	2	no	—
111	C₂×C₈×C₄₇	—	2	1	no	—
112	C₂×C₈×C₄₇	C₂²×C₄	1	4	yes	—
113	C₄²×C₄₇	C₂²×C₄	1	1	yes	characteristic
114	C₄²×C₄₇	C₂²×C₄	1	1	yes	characteristic
115	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
116	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
117	C₄⋊Dic₄₇	C₄⋊C₄	1	2	yes	—
118	C₄⋊Dic₄₇	C₄⋊C₄	1	1	yes	characteristic
119	C₄⋊Dic₄₇	C₄⋊C₄	1	1	yes	characteristic
120	Dic₄₇⋊C₄	C₄⋊C₄	1	2	yes	—
121	Dic₄₇⋊C₄	C₄⋊C₄	1	2	yes	—
122	Dic₄₇⋊C₄	C₄⋊C₄	1	2	yes	—
123	Dic₄₇⋊C₄	C₄⋊C₄	1	2	yes	—
124	C₄×Dic₄₇	C₂²×C₄	1	2	yes	—
125	C₄×Dic₄₇	C₂²×C₄	1	2	yes	—
126	C₄×Dic₄₇	C₂×D₄	1	2	yes	—
127	C₄×Dic₄₇	C₂×D₄	1	2	yes	—
128	#10625329	—	2	1	no	—
129	#10625329	—	2	1	no	—
130	#10625329	—	2	2	no	—
131	#10625329	—	2	1	no	—
132	#10625329	—	2	2	no	—
133	#10625329	#41	1	2	yes	—
134	C₂×C₄₇⋊C₈	—	2	1	no	—
135	C₂×C₄₇⋊C₈	—	2	1	no	—
136	C₂×C₄₇⋊C₈	—	2	1	no	—
137	C₂×C₄₇⋊C₈	—	2	1	no	—
138	C₂×C₄₇⋊C₈	—	2	1	no	—
139	C₂×C₄₇⋊C₈	—	2	2	no	—
140	C₂×C₄₇⋊C₈	—	2	1	no	—
141	C₂×C₄₇⋊C₈	C₂²×C₄	1	2	yes	—
142	C₂×C₄₇⋊C₈	C₂²×C₄	1	2	yes	—
143	C₂³×C₄₇	C₂²×Q₈	1	1	yes	characteristic
144	C₂×C₄×C₄₇	—	2	2	no	—
145	C₂×C₄×C₄₇	—	4	1	no	—
146	C₂×C₄×C₄₇	C₂×C₄⋊C₄	1	1	yes	characteristic
147	C₂×C₄×C₄₇	C₂×C₄⋊C₄	1	1	yes	characteristic
148	C₂×C₄×C₄₇	C₂×C₄⋊C₄	1	1	yes	characteristic
149	C₂×C₄×C₄₇	C₂×C₄⋊C₄	1	1	yes	characteristic
150	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
151	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
152	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
153	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
154	C₂×C₄×C₄₇	2₋¹⁺⁴	1	1	yes	characteristic
155	C₂×C₄×C₄₇	2₋¹⁺⁴	1	1	yes	characteristic
156	C₂×Dic₄₇	—	2	4	no	—
157	C₂×Dic₄₇	—	4	2	no	—
158	C₂×Dic₄₇	C₂×C₄⋊C₄	1	2	yes	—
159	C₂×Dic₄₇	C₂×C₄⋊C₄	1	2	yes	—
160	C₂×Dic₄₇	C₂×C₄⋊C₄	1	2	yes	—
161	C₂×Dic₄₇	C₂×C₄⋊C₄	1	2	yes	—
162	Dic₉₄	—	2	2	no	—
163	Dic₉₄	—	2	4	no	—
164	Dic₉₄	#108	1	4	yes	complemented
165	C₈×C₄₇	—	2	4	no	—
166	C₈×C₄₇	—	2	2	no	—
167	C₈×C₄₇	—	4	2	no	—
168	C₈×C₄₇	—	4	1	no	—
169	C₄₇⋊C₈	—	2	2	no	—
170	C₄₇⋊C₈	—	2	2	no	—
171	C₄₇⋊C₈	—	2	2	no	—
172	C₄₇⋊C₈	—	4	1	no	—
173	C₄₇⋊C₈	—	4	2	no	—
174	#22746	—	47	1	no	maximal, Sylow
175	C₂²×C₄₇	—	2	1	no	—
176	C₂²×C₄₇	—	2	1	no	—
177	C₂²×C₄₇	C₂²×C₄⋊C₄	1	1	yes	characteristic
178	C₂²×C₄₇	#557	1	1	yes	characteristic
179	C₂²×C₄₇	#557	1	1	yes	characteristic
180	C₄×C₄₇	—	2	1	no	—
181	C₄×C₄₇	—	2	1	no	—
182	C₄×C₄₇	—	2	1	no	—
183	C₄×C₄₇	C₂×#108	1	2	yes	—
184	C₄×C₄₇	C₄×#41	1	1	yes	characteristic
185	C₄×C₄₇	#519	1	1	yes	characteristic
186	C₄×C₄₇	#548	1	1	yes	characteristic
187	C₄×C₄₇	#548	1	1	yes	characteristic
188	Dic₄₇	—	2	2	no	—
189	Dic₄₇	—	2	2	no	—
190	Dic₄₇	—	2	2	no	—
191	Dic₄₇	C₂×#108	1	4	yes	—
192	Q₈×M₁₆	—	47	1	no	—
193	Q₈×M₁₆	—	47	1	no	—
194	C₂×C₈×Q₈	—	47	1	no	—
195	#1950	—	47	2	no	—
196	#1950	—	47	1	no	—
197	#1950	—	47	2	no	—
198	#1950	D₄₇	1	1	yes	characteristic
199	#1837	—	47	1	no	—
200	#1837	—	47	2	no	—
201	C₄×#108	—	47	2	no	—
202	C₄×#108	—	47	1	no	—
203	C₂×C₄₇	—	2	1	no	—
204	C₂×C₄₇	—	2	1	no	—
205	C₂×C₄₇	#2351	1	1	yes	characteristic
206	C₂×C₄₇	C₂²×#108	1	1	yes	characteristic
207	C₂×C₄₇	#2916	1	1	yes	characteristic
208	C₂×C₄×Q₈	—	47	1	no	—
209	#446	—	94	1	no	—
210	#446	—	94	2	no	—
211	#446	—	94	1	no	—
212	#446	—	94	2	no	—
213	C₈×Q₈	—	47	2	no	—
214	C₈×Q₈	—	47	4	no	—
215	C₈×Q₈	—	47	2	no	—
216	C₈×Q₈	—	94	1	no	—
217	C₈×Q₈	—	94	1	no	—
218	C₂×#108	—	47	1	no	—
219	C₂×#108	—	47	1	no	—
220	C₂×#108	—	47	2	no	—
221	C₂×#108	C₂×D₄₇	1	2	yes	—
222	#423	—	47	2	no	—
223	#423	—	47	2	no	—
224	#423	—	47	1	no	—
225	#423	C₂×D₄₇	1	1	yes	characteristic
226	C₂×C₄⋊C₈	—	47	2	no	—
227	C₂×C₄⋊C₈	C₂×D₄₇	1	1	yes	characteristic
228	C₄×M₁₆	—	47	2	no	—
229	C₄×M₁₆	—	47	2	no	—
230	C₄×M₁₆	—	47	1	no	—
231	C₄×M₁₆	C₂×D₄₇	1	1	yes	characteristic
232	C₂×C₄×C₈	—	47	2	no	—
233	C₂×C₄×C₈	—	47	1	no	—
234	#341	—	47	2	no	—
235	#341	—	47	1	no	—
236	#341	—	47	2	no	—
237	#341	—	47	1	no	—
238	#341	—	47	2	no	—
239	#341	C₂×D₄₇	1	2	yes	—
240	C₄₇	#22746	1	1	yes	characteristic, complemented, Sylow
241	C₂²×Q₈	—	47	1	no	—
242	C₂×M₁₆	—	47	1	no	—
243	C₂×M₁₆	—	47	2	no	—
244	C₂×M₁₆	—	47	1	no	—
245	C₂×M₁₆	C₂²×D₄₇	1	2	yes	—
246	C₂×M₁₆	C₂²×D₄₇	1	1	yes	characteristic
247	C₂×M₁₆	C₂²×D₄₇	1	1	yes	characteristic
248	C₂²×C₈	—	47	1	no	—
249	C₂²×C₈	—	47	1	no	—
250	C₂²×C₈	C₂²×D₄₇	1	2	yes	—
251	C₄×Q₈	—	47	1	no	—
252	C₄×Q₈	—	47	2	no	—
253	C₄×Q₈	—	47	1	no	—
254	C₄×Q₈	—	47	1	no	—
255	C₄×Q₈	—	47	2	no	—
256	C₄×Q₈	—	47	1	no	—
257	C₂×C₄⋊C₄	—	47	2	no	—
258	C₂×C₄⋊C₄	—	47	1	no	—
259	C₂×C₄²	—	47	2	no	—
260	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
261	#108	—	2	4	no	—
262	#108	—	94	4	no	—
263	#108	—	94	2	no	—
264	#108	—	94	2	no	—
265	C₄⋊C₈	—	2	1	no	—
266	C₄⋊C₈	—	2	1	no	—
267	C₄⋊C₈	—	47	4	no	—
268	C₄⋊C₈	—	47	4	no	—
269	C₄⋊C₈	—	94	2	no	—
270	C₄⋊C₈	—	94	2	no	—
271	C₄⋊C₈	—	94	2	no	—
272	C₄⋊C₈	—	94	2	no	—
273	C₄⋊C₈	—	94	1	no	—
274	C₄⋊C₈	—	94	1	no	—
275	C₄⋊C₈	C₄×D₄₇	1	2	yes	—
276	C₄⋊C₈	C₄×D₄₇	1	2	yes	—
277	#97	—	2	1	no	—
278	#97	—	94	2	no	—
279	#97	—	94	2	no	—
280	#97	—	94	1	no	—
281	C₄×C₈	—	2	1	no	—
282	C₄×C₈	—	47	4	no	—
283	C₄×C₈	—	47	4	no	—
284	C₄×C₈	—	47	2	no	—
285	C₄×C₈	—	47	2	no	—
286	C₄×C₈	—	94	2	no	—
287	C₄×C₈	—	94	2	no	—
288	C₄×C₈	—	94	1	no	—
289	C₂×Q₈	—	47	1	no	—
290	C₂×Q₈	—	47	2	no	—
291	C₂×Q₈	—	47	1	no	—
292	C₂×Q₈	—	94	4	no	—
293	C₂²×C₄	—	47	2	no	—
294	C₂²×C₄	—	47	2	no	—
295	C₂²×C₄	Q₈×D₄₇	1	1	yes	characteristic
296	C₂²×C₄	Q₈×D₄₇	1	1	yes	characteristic
297	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
298	M₁₆	—	2	1	no	—
299	M₁₆	—	2	1	no	—
300	M₁₆	—	2	2	no	—
301	M₁₆	—	2	2	no	—
302	M₁₆	—	2	1	no	—
303	M₁₆	—	47	2	no	—
304	M₁₆	—	94	1	no	—
305	M₁₆	—	94	2	no	—
306	M₁₆	—	94	1	no	—
307	M₁₆	—	94	1	no	—
308	M₁₆	—	94	2	no	—
309	M₁₆	#10625352	1	2	yes	—
310	C₂×C₈	—	2	1	no	—
311	C₂×C₈	—	2	2	no	—
312	C₂×C₈	—	2	2	no	—
313	C₂×C₈	—	2	1	no	—
314	C₂×C₈	—	2	2	no	—
315	C₂×C₈	—	47	2	no	—
316	C₂×C₈	—	47	2	no	—
317	C₂×C₈	—	94	1	no	—
318	C₂×C₈	—	94	1	no	—
319	C₂×C₈	—	94	1	no	—
320	C₂×C₈	—	94	1	no	—
321	C₂×C₈	—	94	1	no	—
322	C₂×C₈	—	94	1	no	—
323	C₂×C₈	—	94	2	no	—
324	C₂×C₈	C₂×C₄×D₄₇	1	4	yes	—
325	C₄⋊C₄	—	47	2	no	—
326	C₄⋊C₄	—	47	2	no	—
327	C₄⋊C₄	—	47	2	no	—
328	C₄⋊C₄	—	47	2	no	—
329	C₄⋊C₄	—	47	2	no	—
330	C₄⋊C₄	—	47	1	no	—
331	C₄⋊C₄	—	47	1	no	—
332	C₄²	—	47	2	no	—
333	C₄²	—	47	2	no	—
334	C₄²	—	47	2	no	—
335	C₄²	—	47	2	no	—
336	C₄²	C₂×C₄×D₄₇	1	1	yes	characteristic
337	C₄²	C₂×C₄×D₄₇	1	1	yes	characteristic
338	C₄²	D₄×D₄₇	1	1	yes	characteristic
339	C₄²	D₄×D₄₇	1	1	yes	characteristic
340	C₂³	C₂×Q₈×D₄₇	1	1	yes	characteristic
341	Q₈	—	47	4	no	—
342	Q₈	—	94	4	no	—
343	Q₈	—	94	2	no	—
344	C₂×C₄	—	2	2	no	—
345	C₂×C₄	—	4	1	no	—
346	C₂×C₄	—	47	2	no	—
347	C₂×C₄	—	47	2	no	—
348	C₂×C₄	—	47	2	no	—
349	C₂×C₄	—	47	2	no	—
350	C₂×C₄	—	94	4	no	—
351	C₂×C₄	—	188	2	no	—
352	C₂×C₄	C₄⋊C₄×D₄₇	1	1	yes	characteristic
353	C₂×C₄	C₄⋊C₄×D₄₇	1	1	yes	characteristic
354	C₂×C₄	C₄⋊C₄×D₄₇	1	1	yes	characteristic
355	C₂×C₄	C₄⋊C₄×D₄₇	1	1	yes	characteristic
356	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
357	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
358	C₂×C₄	#41×D₄₇	1	1	yes	characteristic
359	C₂×C₄	C₂×#10625352	1	1	yes	characteristic
360	C₂×C₄	#13094071	1	1	yes	characteristic
361	C₂×C₄	#13094072	1	1	yes	characteristic
362	C₈	—	2	2	no	—
363	C₈	—	2	4	no	—
364	C₈	—	4	2	no	—
365	C₈	—	4	1	no	—
366	C₈	—	94	2	no	—
367	C₈	—	94	2	no	—
368	C₈	—	94	2	no	—
369	C₈	—	188	1	no	—
370	C₈	—	188	2	no	—
371	C₂²	—	2	1	no	—
372	C₂²	—	2	1	no	—
373	C₂²	C₂×C₄⋊C₄×D₄₇	1	1	yes	characteristic
374	C₂²	#15689848	1	1	yes	characteristic
375	C₂²	#15689850	1	1	yes	characteristic
376	C₄	—	2	1	no	—
377	C₄	—	2	1	no	—
378	C₄	—	2	1	no	—
379	C₄	—	47	4	no	—
380	C₄	—	94	2	no	—
381	C₄	—	94	2	no	—
382	C₄	—	94	2	no	—
383	C₄	#108×D₄₇	1	2	yes	—
384	C₄	C₄×#10625352	1	1	yes	characteristic
385	C₄	#15689599	1	1	yes	characteristic
386	C₄	#15689779	1	1	yes	characteristic
387	C₄	#15689783	1	1	yes	characteristic
388	C₂	—	2	1	no	—
389	C₂	—	2	1	no	—
390	C₂	#20246307	1	1	yes	characteristic
391	C₂	C₂×#108×D₄₇	1	1	yes	characteristic
392	C₂	#20251998	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₄₇
commutator	C₂×C₄×C₄₇	C₂³×C₄
Frattini	C₂²×C₄	C₂³×D₄₇
Fitting	C₄₇×#1950	C₂
socle	C₂²×C₄₇	C₂²×C₄⋊C₄
prime radical	C₂³×C₄₇	C₂²×Q₈
cosocle	C₂²×C₄×C₄₇	C₂⁴
hypercenter	#1950	D₄₇
hypocenter	C₄₇	#22746
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #1950

Complements

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

N	H ≅ G/N	type
164. Dic₉₄	#108	semidirect
240. C₄₇	#22746	semidirect

Maximal subgroups

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

subgroup	index
M₁₆×Dic₉₄	2
#20252339	2
C₂×#15689247	2
#20244164	2
#20244162	2
#20244160	2
#20243525	2
#20243524	2
#108×Dic₄₇	2
C₄×#13093959	2
C₄₇×#1950	2
#22746	47