Subgroups — #14438623

Order 1920.

848 conjugacy classes of subgroups.

The subgroup lattice has 404 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#5477	C₂	1	1	yes	maximal, characteristic
2	C₂×C₃×#4015	C₂	1	1	yes	maximal, characteristic, complemented
3	C₄×#6710	C₂	1	1	yes	maximal, characteristic, complemented
4	#11748384	C₂	1	4	yes	maximal, complemented
5	#11746923	C₂	1	2	yes	maximal, complemented
6	#11746904	C₂	1	4	yes	maximal, complemented
7	#11746901	C₂	1	2	yes	maximal, complemented
8	#10615014	—	3	1	no	maximal, Hall
9	C₂×C₅×#235	C₂²	1	2	yes	—
10	C₂²×C₃×Dic₁₀	—	2	1	no	—
11	C₂×C₃×C₄²×C₅	C₂²	1	1	yes	characteristic
12	C₂×#6710	C₂²	1	2	yes	—
13	C₅×#930	—	2	1	no	—
14	C₅×#930	—	2	1	no	—
15	C₅×#875	C₂²	1	2	yes	—
16	C₅×#874	C₂²	1	1	yes	characteristic
17	C₄×C₅×D₁₂	—	2	1	no	—
18	C₄×C₅×D₁₂	—	2	1	no	—
19	C₅×#869	C₂²	1	1	yes	characteristic
20	C₂×C₃×C₄⋊Dic₅	—	2	1	no	—
21	C₂×C₃×C₄⋊Dic₅	C₂²	1	2	yes	—
22	C₃×#4015	—	2	1	no	—
23	C₃×#4015	—	2	1	no	—
24	C₃×#4015	C₂²	1	2	yes	—
25	C₃×#4015	C₂²	1	2	yes	—
26	#91087	C₂²	1	2	yes	—
27	C₄×C₃⋊#168	C₂²	1	2	yes	—
28	#90972	C₂²	1	8	yes	—
29	#90966	C₂²	1	8	yes	—
30	#83199	—	5	1	no	maximal, Hall
31	C₅×#532	—	3	1	no	—
32	C₂×#4015	D₃	1	1	yes	characteristic, complemented
33	#65521	—	3	4	no	—
34	#65370	—	3	2	no	—
35	#65359	—	3	2	no	—
36	#65344	—	3	4	no	—
37	C₄×#681	—	3	1	no	—
38	C₂²×C₃×C₄×C₅	D₄	1	1	yes	characteristic
39	C₂²×C₃×C₄×C₅	D₄	1	1	yes	characteristic
40	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
41	C₂×C₅×#67	—	2	2	no	—
42	C₅×#235	—	2	8	no	—
43	C₂×C₅×D₁₂	—	2	1	no	—
44	C₂×C₅×D₁₂	—	2	1	no	—
45	C₂×C₅×D₁₂	C₂³	1	2	yes	—
46	C₂×C₄×C₅×D₃	—	2	2	no	—
47	C₂×C₅×Dic₆	C₂³	1	2	yes	—
48	C₂²×C₃×Dic₅	—	2	2	no	—
49	C₂×C₃×Dic₁₀	—	2	2	no	—
50	C₂×C₃×Dic₁₀	—	2	2	no	—
51	C₂×C₃×Dic₁₀	—	4	4	no	—
52	C₃×C₄²×C₅	D₄	1	1	yes	characteristic
53	C₃×C₄²×C₅	D₄	1	1	yes	characteristic
54	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
55	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
56	#6710	—	2	4	no	—
57	C₂×C₃⋊#168	C₂³	1	4	yes	—
58	C₅×(C₂×D₃)⋊C₄	—	2	2	no	—
59	C₅×(C₂×D₃)⋊C₄	—	2	2	no	—
60	C₅×C₄⋊Dic₃	—	2	1	no	—
61	C₅×C₄⋊Dic₃	—	2	1	no	—
62	C₃×C₄⋊Dic₅	—	2	2	no	—
63	C₃×C₄⋊Dic₅	—	2	2	no	—
64	C₃×C₄⋊Dic₅	—	2	2	no	—
65	C₃×C₄⋊Dic₅	C₂³	1	4	yes	—
66	C₂×C₃×C₄⋊Q₈	—	5	1	no	—
67	#5477	D₅	1	1	yes	characteristic
68	#5093	—	5	2	no	—
69	#5089	—	5	4	no	—
70	#5088	—	5	2	no	—
71	#4966	—	5	4	no	—
72	C₄×#208	—	5	1	no	—
73	C₂×C₅×#41	—	3	2	no	—
74	C₂²×Dic₁₀	—	2	1	no	—
75	C₅×C₄⋊Q₈	—	3	1	no	—
76	C₅×#127	—	3	1	no	—
77	C₅×#124	—	3	2	no	—
78	C₅×#121	—	6	1	no	—
79	C₅×#121	—	6	1	no	—
80	C₄×C₅×D₄	—	6	1	no	—
81	C₄×C₅×D₄	—	6	1	no	—
82	C₂×C₄²×C₅	C₂×D₃	1	1	yes	characteristic
83	C₂×C₄⋊Dic₅	—	2	1	no	—
84	C₂×C₄⋊Dic₅	C₂×D₃	1	2	yes	—
85	C₂×#681	—	3	2	no	—
86	#4015	—	2	1	no	—
87	#4015	—	2	1	no	—
88	#4015	C₂×D₃	1	2	yes	—
89	#4015	C₂×D₃	1	2	yes	—
90	#3967	—	3	8	no	—
91	#3964	—	3	8	no	—
92	#3935	—	3	2	no	—
93	C₄×#168	—	3	2	no	—
94	#3141	—	15	1	no	Sylow
95	C₂³×C₃×C₅	C₂×D₄	1	1	yes	characteristic
96	C₂²×C₅×D₃	—	2	2	no	—
97	C₂×C₃×C₄×C₅	—	2	2	no	—
98	C₂×C₃×C₄×C₅	—	2	2	no	—
99	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
100	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
101	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
102	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
103	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
104	C₂×C₃×C₄×C₅	#41	1	4	yes	—
105	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
106	C₅×#67	—	4	4	no	—
107	C₂×C₅×Dic₃	—	2	2	no	—
108	C₅×D₁₂	—	2	4	no	—
109	C₅×D₁₂	—	4	2	no	—
110	C₅×D₁₂	—	4	2	no	—
111	C₄×C₅×D₃	—	4	4	no	—
112	C₅×Dic₆	—	2	4	no	—
113	C₂×C₃×Dic₅	—	2	4	no	—
114	C₂×C₃×Dic₅	—	4	4	no	—
115	C₃×Dic₁₀	—	4	4	no	—
116	C₃×Dic₁₀	—	4	4	no	—
117	C₃⋊#168	—	2	4	no	—
118	C₂²×C₃×Q₈	—	10	1	no	—
119	C₂×#235	C₂×D₅	1	2	yes	—
120	C₃×C₄⋊Q₈	—	5	2	no	—
121	C₃×C₄⋊Q₈	—	5	2	no	—
122	C₃×C₄⋊Q₈	—	10	1	no	—
123	C₃×C₄⋊Q₈	—	10	1	no	—
124	C₂×C₃×C₄⋊C₄	—	5	2	no	—
125	C₂×C₃×C₄⋊C₄	—	10	1	no	—
126	C₂×C₃×C₄²	C₂×D₅	1	1	yes	characteristic
127	#930	—	2	1	no	—
128	#930	—	2	1	no	—
129	C₂×#208	—	5	2	no	—
130	#875	C₂×D₅	1	2	yes	—
131	#874	C₂×D₅	1	1	yes	characteristic
132	C₄×D₁₂	—	2	1	no	—
133	C₄×D₁₂	—	2	1	no	—
134	#869	C₂×D₅	1	1	yes	characteristic
135	#810	—	5	8	no	—
136	#809	—	5	8	no	—
137	#803	—	5	2	no	—
138	C₄×C₃⋊C₈	—	5	2	no	—
139	C₅×#41	—	6	8	no	—
140	C₂×C₅×Q₈	—	3	2	no	—
141	C₂×C₅×D₄	—	3	2	no	—
142	C₂×C₅×D₄	—	6	2	no	—
143	C₂×C₅×D₄	—	6	1	no	—
144	C₂×C₅×D₄	—	6	1	no	—
145	C₂²×C₄×C₅	—	6	2	no	—
146	C₂²×C₄×C₅	#67	1	1	yes	characteristic
147	C₂²×C₄×C₅	#67	1	1	yes	characteristic
148	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
149	C₂²×Dic₅	—	2	2	no	—
150	C₂×Dic₁₀	—	2	2	no	—
151	C₂×Dic₁₀	—	2	2	no	—
152	C₂×Dic₁₀	—	4	4	no	—
153	C₅×C₄⋊C₄	—	6	1	no	—
154	C₅×C₄⋊C₄	—	6	1	no	—
155	C₅×C₂²⋊C₄	—	6	2	no	—
156	C₅×C₂²⋊C₄	—	6	2	no	—
157	C₄²×C₅	#67	1	1	yes	characteristic
158	C₄²×C₅	#67	1	1	yes	characteristic
159	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
160	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
161	C₄⋊Dic₅	—	2	2	no	—
162	C₄⋊Dic₅	—	2	2	no	—
163	C₄⋊Dic₅	—	2	2	no	—
164	C₄⋊Dic₅	C₂²×D₃	1	4	yes	—
165	#681	—	6	4	no	—
166	C₂×#168	—	3	4	no	—
167	#532	—	3	1	no	—
168	C₂×C₄⋊Q₈	—	5	1	no	—
169	#489	—	15	4	no	—
170	#487	—	15	2	no	—
171	#486	—	15	2	no	—
172	#417	—	15	4	no	—
173	C₄×M₁₆	—	15	1	no	—
174	C₂²×C₃×C₅	—	2	1	no	—
175	C₂²×C₃×C₅	—	2	1	no	—
176	C₂²×C₃×C₅	#124	1	2	yes	—
177	C₂²×C₃×C₅	C₂²×D₄	1	1	yes	characteristic
178	C₂×C₅×D₃	—	4	2	no	—
179	C₂×C₅×D₃	—	4	2	no	—
180	C₂×C₅×D₃	—	4	2	no	—
181	C₃×C₄×C₅	—	2	1	no	—
182	C₃×C₄×C₅	—	2	1	no	—
183	C₃×C₄×C₅	#124	1	2	yes	—
184	C₃×C₄×C₅	AGL(1,ℤ/8)	1	2	yes	—
185	C₃×C₄×C₅	#137	1	2	yes	—
186	C₃×C₄×C₅	C₂×#41	1	2	yes	—
187	C₃×Dic₅	—	4	4	no	—
188	C₅×Dic₃	—	4	2	no	—
189	C₂×C₃×Q₈	—	10	2	no	—
190	C₂×C₃×Q₈	—	10	2	no	—
191	C₂×C₃×Q₈	—	20	4	no	—
192	C₂²×C₃×C₄	—	10	2	no	—
193	C₂²×C₃×C₄	C₂²⋊D₅	1	1	yes	characteristic
194	C₂²×C₃×C₄	C₂²⋊D₅	1	1	yes	characteristic
195	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
196	C₂×#67	—	2	2	no	—
197	#235	—	2	8	no	—
198	C₂×D₁₂	—	2	1	no	—
199	C₂×D₁₂	—	2	1	no	—
200	C₂×D₁₂	C₂²×D₅	1	2	yes	—
201	C₂×C₄×D₃	—	2	2	no	—
202	C₂×Dic₆	C₂²×D₅	1	2	yes	—
203	C₃×C₄⋊C₄	—	5	4	no	—
204	C₃×C₄⋊C₄	—	10	2	no	—
205	C₃×C₄⋊C₄	—	10	2	no	—
206	C₃×C₄⋊C₄	—	10	2	no	—
207	C₃×C₄²	C₂²⋊D₅	1	1	yes	characteristic
208	C₃×C₄²	C₂²⋊D₅	1	1	yes	characteristic
209	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic
210	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic
211	(C₂×D₃)⋊C₄	—	2	2	no	—
212	(C₂×D₃)⋊C₄	—	2	2	no	—
213	C₄⋊Dic₃	—	2	1	no	—
214	C₄⋊Dic₃	—	2	1	no	—
215	#208	—	10	4	no	—
216	C₂×C₃⋊C₈	—	5	4	no	—
217	C₂³×C₅	—	6	2	no	—
218	C₂³×C₅	C₂×#67	1	1	yes	characteristic
219	C₅×Q₈	—	6	4	no	—
220	C₅×D₄	—	6	4	no	—
221	C₅×D₄	—	12	4	no	—
222	C₅×D₄	—	12	2	no	—
223	C₅×D₄	—	12	2	no	—
224	C₂×C₄×C₅	—	2	2	no	—
225	C₂×C₄×C₅	—	2	2	no	—
226	C₂×C₄×C₅	—	6	2	no	—
227	C₂×C₄×C₅	—	12	4	no	—
228	C₂×C₄×C₅	#239	1	4	yes	—
229	C₂×C₄×C₅	C₂×#67	1	1	yes	characteristic
230	C₂×C₄×C₅	C₂×#67	1	1	yes	characteristic
231	C₂×C₄×C₅	C₂×#67	1	1	yes	characteristic
232	C₂×C₄×C₅	C₂×#67	1	1	yes	characteristic
233	C₂×C₄×C₅	C₂×#67	1	1	yes	characteristic
234	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
235	C₂×Dic₅	—	2	4	no	—
236	C₂×Dic₅	—	4	4	no	—
237	Dic₁₀	—	4	4	no	—
238	Dic₁₀	—	4	4	no	—
239	#168	—	6	4	no	—
240	C₂×#41	—	3	2	no	—
241	C₂²×Q₈	—	10	1	no	—
242	C₂×M₁₆	—	15	2	no	—
243	C₄⋊Q₈	—	3	1	no	—
244	C₄⋊Q₈	—	5	2	no	—
245	C₄⋊Q₈	—	5	2	no	—
246	C₄⋊Q₈	—	10	1	no	—
247	C₄⋊Q₈	—	10	1	no	—
248	#127	—	3	1	no	—
249	#124	—	3	2	no	—
250	#121	—	6	1	no	—
251	#121	—	6	1	no	—
252	C₄×D₄	—	6	1	no	—
253	C₄×D₄	—	6	1	no	—
254	C₂×C₄⋊C₄	—	5	2	no	—
255	C₂×C₄⋊C₄	—	10	1	no	—
256	C₂×C₄²	D₃×D₅	1	1	yes	characteristic
257	#103	—	15	8	no	—
258	#102	—	15	8	no	—
259	#97	—	15	2	no	—
260	C₄×C₈	—	15	2	no	—
261	C₂×C₃×C₅	—	2	2	no	—
262	C₂×C₃×C₅	C₂×#124	1	1	yes	characteristic
263	C₂×C₃×C₅	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
264	C₂×C₃×C₅	C₂×#137	1	1	yes	characteristic
265	C₅×D₃	—	8	2	no	—
266	C₂³×C₃	C₂×C₂²⋊D₅	1	1	yes	characteristic
267	C₂²×D₃	—	2	2	no	—
268	C₃×Q₈	—	20	4	no	—
269	C₃×Q₈	—	20	4	no	—
270	C₂×C₃×C₄	—	2	2	no	—
271	C₂×C₃×C₄	—	2	2	no	—
272	C₂×C₃×C₄	—	10	4	no	—
273	C₂×C₃×C₄	—	20	4	no	—
274	C₂×C₃×C₄	#711	1	4	yes	—
275	C₂×C₃×C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
276	C₂×C₃×C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
277	C₂×C₃×C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
278	C₂×C₃×C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
279	C₂×C₃×C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
280	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
281	#67	—	4	4	no	—
282	C₂×Dic₃	—	2	2	no	—
283	D₁₂	—	2	4	no	—
284	D₁₂	—	4	2	no	—
285	D₁₂	—	4	2	no	—
286	C₄×D₃	—	4	4	no	—
287	Dic₆	—	2	4	no	—
288	C₃⋊C₈	—	10	4	no	—
289	C₂²×C₅	—	2	1	no	—
290	C₂²×C₅	—	2	1	no	—
291	C₂²×C₅	—	12	2	no	—
292	C₂²×C₅	—	12	2	no	—
293	C₂²×C₅	—	12	2	no	—
294	C₂²×C₅	#947	1	2	yes	—
295	C₂²×C₅	C₂²×#67	1	1	yes	characteristic
296	C₄×C₅	—	2	1	no	—
297	C₄×C₅	—	2	1	no	—
298	C₄×C₅	—	12	2	no	—
299	C₄×C₅	#932	1	2	yes	—
300	C₄×C₅	#942	1	2	yes	—
301	C₄×C₅	#947	1	2	yes	—
302	C₄×C₅	C₂×#239	1	2	yes	—
303	Dic₅	—	4	4	no	—
304	#41	—	6	8	no	—
305	C₂×Q₈	—	3	2	no	—
306	C₂×Q₈	—	10	2	no	—
307	C₂×Q₈	—	10	2	no	—
308	C₂×Q₈	—	20	4	no	—
309	C₂×D₄	—	3	2	no	—
310	C₂×D₄	—	6	2	no	—
311	C₂×D₄	—	6	1	no	—
312	C₂×D₄	—	6	1	no	—
313	C₂²×C₄	—	6	2	no	—
314	C₂²×C₄	—	10	2	no	—
315	C₂²×C₄	#1201	1	1	yes	characteristic
316	C₂²×C₄	#1201	1	1	yes	characteristic
317	C₂²×C₄	C₂×D₃×D₅	1	1	yes	characteristic
318	M₁₆	—	30	4	no	—
319	C₂×C₈	—	15	4	no	—
320	C₄⋊C₄	—	5	4	no	—
321	C₄⋊C₄	—	6	1	no	—
322	C₄⋊C₄	—	6	1	no	—
323	C₄⋊C₄	—	10	2	no	—
324	C₄⋊C₄	—	10	2	no	—
325	C₄⋊C₄	—	10	2	no	—
326	C₂²⋊C₄	—	6	2	no	—
327	C₂²⋊C₄	—	6	2	no	—
328	C₄²	#1201	1	1	yes	characteristic
329	C₄²	#1201	1	1	yes	characteristic
330	C₄²	C₂×D₃×D₅	1	1	yes	characteristic
331	C₄²	C₂×D₃×D₅	1	1	yes	characteristic
332	C₃×C₅	#3141	1	1	yes	characteristic, complemented, Hall
333	C₂²×C₃	—	2	1	no	—
334	C₂²×C₃	—	2	1	no	—
335	C₂²×C₃	#4082	1	2	yes	—
336	C₂²×C₃	C₂²×C₂²⋊D₅	1	1	yes	characteristic
337	C₂×D₃	—	4	2	no	—
338	C₂×D₃	—	4	2	no	—
339	C₂×D₃	—	4	2	no	—
340	C₃×C₄	—	2	1	no	—
341	C₃×C₄	—	2	1	no	—
342	C₃×C₄	—	20	4	no	—
343	C₃×C₄	#4082	1	2	yes	—
344	C₃×C₄	#4095	1	2	yes	—
345	C₃×C₄	#4097	1	2	yes	—
346	C₃×C₄	C₂×#711	1	2	yes	—
347	Dic₃	—	4	2	no	—
348	C₂×C₅	—	2	2	no	—
349	C₂×C₅	—	24	2	no	—
350	C₂×C₅	C₂×#932	1	1	yes	characteristic
351	C₂×C₅	C₂×#942	1	1	yes	characteristic
352	C₂×C₅	C₂×#947	1	1	yes	characteristic
353	C₂³	—	6	2	no	—
354	C₂³	C₂×#1201	1	1	yes	characteristic
355	Q₈	—	6	4	no	—
356	Q₈	—	20	4	no	—
357	Q₈	—	20	4	no	—
358	D₄	—	6	4	no	—
359	D₄	—	12	4	no	—
360	D₄	—	12	2	no	—
361	D₄	—	12	2	no	—
362	C₂×C₄	—	2	2	no	—
363	C₂×C₄	—	2	2	no	—
364	C₂×C₄	—	6	2	no	—
365	C₂×C₄	—	10	4	no	—
366	C₂×C₄	—	12	4	no	—
367	C₂×C₄	—	20	4	no	—
368	C₂×C₄	#6768	1	4	yes	—
369	C₂×C₄	C₂×#1201	1	1	yes	characteristic
370	C₂×C₄	C₂×#1201	1	1	yes	characteristic
371	C₂×C₄	C₂×#1201	1	1	yes	characteristic
372	C₂×C₄	C₂×#1201	1	1	yes	characteristic
373	C₂×C₄	C₂×#1201	1	1	yes	characteristic
374	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
375	C₈	—	30	4	no	—
376	C₂×C₃	—	2	2	no	—
377	C₂×C₃	C₂×#4082	1	1	yes	characteristic
378	C₂×C₃	C₂×#4095	1	1	yes	characteristic
379	C₂×C₃	C₂×#4097	1	1	yes	characteristic
380	D₃	—	8	2	no	—
381	C₅	#83199	1	1	yes	characteristic, complemented, Sylow
382	C₂²	—	2	1	no	—
383	C₂²	—	2	1	no	—
384	C₂²	—	12	2	no	—
385	C₂²	—	12	2	no	—
386	C₂²	—	12	2	no	—
387	C₂²	#91370	1	2	yes	—
388	C₂²	C₂²×#1201	1	1	yes	characteristic
389	C₄	—	2	1	no	—
390	C₄	—	2	1	no	—
391	C₄	—	12	2	no	—
392	C₄	—	20	4	no	—
393	C₄	#91298	1	2	yes	—
394	C₄	#91309	1	2	yes	—
395	C₄	#91370	1	2	yes	—
396	C₄	C₂×#6768	1	2	yes	—
397	C₃	#10615014	1	1	yes	characteristic, complemented, Sylow
398	C₂	—	2	2	no	—
399	C₂	—	24	2	no	—
400	C₂	C₂×#91298	1	1	yes	characteristic
401	C₂	C₂×#91309	1	1	yes	characteristic
402	C₂	C₂×#91370	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×#1201
commutator, cosocle	C₂×C₃×C₄×C₅	C₂⁴
Frattini	C₂×C₄	C₂²×D₃×D₅
Fitting	C₂×C₃×C₄²×C₅	C₂²
socle	C₂²×C₃×C₅	C₂²×D₄
prime radical	C₅×#5477	C₂
hypercenter	C₂×C₄²	D₃×D₅
hypocenter	C₃×C₅	#3141
LCS	G ▷ C₂×C₃×C₄×C₅ ▷ C₂×C₃×C₅ ▷ C₃×C₅
UCS	C₁ ◁ C₂² ◁ C₂×C₄²

Complements

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

N	H ≅ G/N	type
2. C₂×C₃×#4015	C₂	semidirect
3. C₄×#6710	C₂	semidirect
4. #11748384	C₂	semidirect
5. #11746923	C₂	semidirect
6. #11746904	C₂	semidirect
7. #11746901	C₂	semidirect
32. C₂×#4015	D₃	semidirect
332. C₃×C₅	#3141	semidirect
381. C₅	#83199	semidirect
397. C₃	#10615014	semidirect

Maximal subgroups

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

subgroup	index
C₅×#5477	2
C₂×C₃×#4015	2
C₄×#6710	2
#11748384	2
#11746923	2
#11746904	2
#11746901	2
#10615014	3
#83199	5