Subgroups — #14282489

Order 1920.

460 conjugacy classes of subgroups.

The subgroup lattice has 424 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11752499	C₂	1	1	yes	maximal, characteristic
2	C₄×C₅×D₃×C₈	C₂	1	1	yes	maximal, characteristic, complemented
3	#11746875	C₂	1	1	yes	maximal, characteristic, complemented
4	#11746280	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#64676	C₂	1	1	yes	maximal, characteristic, complemented
6	#11745841	C₂	1	1	yes	maximal, characteristic, complemented
7	#11745838	C₂	1	1	yes	maximal, characteristic, complemented
8	#10600529	—	3	1	no	maximal, Hall
9	C₄×D₆₀	C₂²	1	1	yes	characteristic
10	C₂×C₅×D₃×C₈	—	2	1	no	—
11	C₄²×C₅×D₃	C₂²	1	1	yes	characteristic
12	C₃×C₄×Dic₁₀	C₂²	1	1	yes	characteristic
13	#91460	C₄	1	1	yes	characteristic
14	C₄×#1203	—	2	1	no	—
15	#91386	—	2	1	no	—
16	#91381	C₄	1	1	yes	characteristic
17	#91380	—	2	1	no	—
18	#91374	C₄	1	1	yes	characteristic
19	#91369	C₄	1	1	yes	characteristic
20	#91351	—	2	1	no	—
21	C₃×C₄×C₅×C₈	C₂²	1	1	yes	characteristic
22	C₄⋊(C₃⋊#168)	C₂²	1	1	yes	characteristic
23	C₅×C₈×Dic₃	—	2	1	no	—
24	C₄×C₅×C₃⋊C₈	C₂²	1	1	yes	characteristic
25	C₃×C₄⋊#168	C₂²	1	1	yes	characteristic
26	(C₂×D₃)⋊#168	—	2	1	no	—
27	#90953	—	2	1	no	—
28	#68241	—	5	1	no	maximal, Hall
29	#65813	—	3	1	no	—
30	C₂×C₄×C₅×C₈	—	3	1	no	—
31	#65215	—	3	1	no	—
32	#64679	—	3	1	no	—
33	#64679	—	3	1	no	—
34	#64676	—	3	1	no	—
35	#64676	D₃	1	1	yes	characteristic, complemented
36	C₂×D₆₀	C₂×C₄	1	1	yes	characteristic
37	C₂×C₄×D₁₅	—	2	1	no	—
38	C₂×C₄×C₅×D₃	C₂×C₄	1	1	yes	characteristic
39	C₂×C₄×C₅×D₃	D₄	1	1	yes	characteristic
40	C₂×C₄×C₅×D₃	D₄	1	1	yes	characteristic
41	C₂×C₃×Dic₁₀	C₂×C₄	1	1	yes	characteristic
42	C₂×#1203	—	2	1	no	—
43	C₂×C₃×C₅×C₈	—	2	1	no	—
44	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
45	#6714	—	2	1	no	—
46	C₄⋊Dic₁₅	C₂×C₄	1	1	yes	characteristic
47	C₂×C₃⋊#168	—	2	1	no	—
48	C₄×C₅×Dic₃	C₂×C₄	1	1	yes	characteristic
49	C₄×C₅×Dic₃	D₄	1	1	yes	characteristic
50	C₄×C₅×Dic₃	D₄	1	1	yes	characteristic
51	C₂×C₅×C₃⋊C₈	—	2	1	no	—
52	C₅×D₃×C₈	—	2	4	no	—
53	C₃×C₄⋊Dic₅	C₂×C₄	1	1	yes	characteristic
54	C₃×#683	—	2	1	no	—
55	C₃×C₄×Dic₅	—	2	1	no	—
56	C₂×C₃×#168	—	2	1	no	—
57	#6669	—	2	1	no	—
58	#6669	—	2	1	no	—
59	#6668	—	2	1	no	—
60	#6667	—	2	1	no	—
61	#6667	—	2	1	no	—
62	#6667	—	2	1	no	—
63	(C₂×D₃)⋊Dic₅	—	2	1	no	—
64	#5580	—	5	1	no	—
65	#4835	—	5	1	no	—
66	C₄×D₃×C₈	D₅	1	1	yes	characteristic, complemented
67	C₃×Q₈⋊C₈	—	5	1	no	—
68	#4535	—	5	1	no	—
69	#4483	—	5	1	no	—
70	#4459	—	5	1	no	—
71	C₂²×C₅×C₈	—	6	1	no	—
72	C₂×C₄²×C₅	—	3	1	no	—
73	#4076	—	3	1	no	—
74	#4075	—	6	1	no	—
75	C₄×C₂²⋊D₅	—	6	1	no	—
76	#4070	—	3	1	no	—
77	#4022	—	6	1	no	—
78	#4021	—	3	1	no	—
79	C₄×D₂₀	—	3	1	no	—
80	#4018	—	6	1	no	—
81	#4016	—	3	1	no	—
82	C₄×Dic₁₀	C₂×D₃	1	1	yes	characteristic
83	C₄×C₅×C₈	—	3	1	no	—
84	C₄×C₅×C₈	—	6	1	no	—
85	C₄×C₅×C₈	C₂×D₃	1	1	yes	characteristic
86	C₂²⋊#168	—	6	1	no	—
87	C₄⋊#168	—	3	1	no	—
88	C₄⋊#168	C₂×D₃	1	1	yes	characteristic
89	#3935	—	6	1	no	—
90	#1494	—	15	1	no	Sylow
91	C₂²×D₁₅	—	2	1	no	—
92	C₂²×C₅×D₃	C₂²⋊C₄	1	1	yes	characteristic
93	C₂×C₃×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
94	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
95	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
96	C₂×Dic₁₅	—	2	1	no	—
97	D₆₀	—	2	1	no	—
98	D₆₀	—	2	1	no	—
99	C₄×D₁₅	—	4	1	no	—
100	C₄×D₁₅	—	4	1	no	—
101	C₂×C₅×Dic₃	C₂²⋊C₄	1	1	yes	characteristic
102	C₂×C₅×Dic₃	C₂²⋊C₄	1	1	yes	characteristic
103	C₂×C₅×Dic₃	C₂²⋊C₄	1	1	yes	characteristic
104	C₄×C₅×D₃	—	2	2	no	—
105	C₄×C₅×D₃	—	2	1	no	—
106	C₄×C₅×D₃	—	2	1	no	—
107	C₄×C₅×D₃	—	2	1	no	—
108	C₄×C₅×D₃	—	2	1	no	—
109	C₂×C₃×Dic₅	—	2	1	no	—
110	C₂×C₃×Dic₅	—	2	1	no	—
111	C₃×Dic₁₀	—	2	1	no	—
112	C₃×Dic₁₀	—	2	1	no	—
113	#1203	—	4	2	no	—
114	C₃×C₅×C₈	—	2	2	no	—
115	C₃⋊#168	—	4	1	no	—
116	C₃×#168	—	4	1	no	—
117	C₅×C₃⋊C₈	—	2	2	no	—
118	C₃×C₄×Q₈	—	5	1	no	—
119	#947	—	5	1	no	—
120	#946	—	5	1	no	—
121	C₂×D₃×C₈	—	2	1	no	—
122	#898	—	10	1	no	—
123	#895	—	5	1	no	—
124	#894	—	10	1	no	—
125	#890	—	5	1	no	—
126	C₄×D₁₂	—	5	1	no	—
127	C₄×D₁₂	—	10	1	no	—
128	#872	—	10	1	no	—
129	C₄²×D₃	C₂×D₅	1	1	yes	characteristic
130	C₃×C₄⋊C₈	—	5	1	no	—
131	C₃×C₄×C₈	C₂×D₅	1	1	yes	characteristic
132	(C₂×D₃)⋊C₈	—	10	1	no	—
133	#815	—	10	1	no	—
134	C₈×Dic₃	—	2	1	no	—
135	C₄⋊(C₃⋊C₈)	—	5	1	no	—
136	C₄×C₃⋊C₈	C₂×D₅	1	1	yes	characteristic
137	C₂²×C₄×C₅	—	3	1	no	—
138	C₂²×C₄×C₅	—	3	1	no	—
139	C₂²×C₄×C₅	—	3	1	no	—
140	C₂×C₂²⋊D₅	—	6	1	no	—
141	C₂×D₂₀	—	3	1	no	—
142	C₂×C₄×D₅	—	6	1	no	—
143	C₂×Dic₁₀	C₄×D₃	1	1	yes	characteristic
144	C₂×C₅×C₈	—	2	1	no	—
145	C₂×C₅×C₈	—	6	4	no	—
146	C₂×C₅×C₈	—	6	1	no	—
147	C₄²×C₅	—	3	1	no	—
148	C₄²×C₅	—	3	1	no	—
149	C₄²×C₅	—	3	1	no	—
150	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
151	C₂²⋊Dic₅	—	6	1	no	—
152	#685	—	6	1	no	—
153	#685	—	6	1	no	—
154	#685	—	6	1	no	—
155	#685	—	6	1	no	—
156	C₄⋊Dic₅	—	3	1	no	—
157	C₄⋊Dic₅	C₄×D₃	1	1	yes	characteristic
158	#683	—	2	1	no	—
159	#683	—	6	1	no	—
160	#683	—	6	1	no	—
161	#683	—	6	1	no	—
162	C₄×Dic₅	—	2	1	no	—
163	C₂×#168	—	2	1	no	—
164	C₂×#168	—	6	1	no	—
165	#529	—	15	1	no	—
166	#432	—	15	1	no	—
167	C₂×C₄×C₈	—	3	1	no	—
168	Q₈⋊C₈	—	5	1	no	—
169	Q₈⋊C₈	—	15	1	no	—
170	D₄⋊C₈	—	15	1	no	—
171	D₄⋊C₈	—	15	1	no	—
172	C₂²×C₃×C₅	C₂×C₂²⋊C₄	1	1	yes	characteristic
173	C₂×D₁₅	—	4	1	no	—
174	C₂×D₁₅	—	4	1	no	—
175	C₂×D₁₅	—	4	1	no	—
176	C₂×C₅×D₃	—	2	1	no	—
177	C₂×C₅×D₃	—	2	1	no	—
178	C₂×C₅×D₃	#104	1	2	yes	—
179	C₃×C₄×C₅	—	2	1	no	—
180	C₃×C₄×C₅	#131	1	1	yes	characteristic
181	C₃×C₄×C₅	#131	1	1	yes	characteristic
182	C₃×C₄×C₅	#135	1	1	yes	characteristic
183	C₃×C₄×C₅	#135	1	1	yes	characteristic
184	Dic₁₅	—	4	1	no	—
185	C₃×Dic₅	—	4	1	no	—
186	C₃×Dic₅	—	4	1	no	—
187	C₅×Dic₃	—	2	1	no	—
188	C₅×Dic₃	—	2	1	no	—
189	C₅×Dic₃	—	2	1	no	—
190	C₂×C₃×Q₈	—	5	1	no	—
191	C₂×D₁₂	—	5	1	no	—
192	C₂×D₁₂	—	10	1	no	—
193	C₂×C₄×D₃	—	10	1	no	—
194	C₂×C₄×D₃	C₄×D₅	1	1	yes	characteristic
195	C₂×C₄×D₃	D₂₀	1	1	yes	characteristic
196	C₂×C₄×D₃	C₂²⋊D₅	1	1	yes	characteristic
197	C₂×C₃×C₈	—	2	1	no	—
198	C₂×C₃×C₈	—	10	1	no	—
199	C₃×C₄⋊C₄	—	5	1	no	—
200	C₃×C₄⋊C₄	—	10	1	no	—
201	C₃×C₄²	—	10	1	no	—
202	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic
203	(C₂×D₃)⋊C₄	—	10	1	no	—
204	(C₂×D₃)⋊C₄	—	10	1	no	—
205	(C₂×D₃)⋊C₄	—	10	1	no	—
206	(C₂×D₃)⋊C₄	—	10	1	no	—
207	(C₂×D₃)⋊C₄	—	10	1	no	—
208	C₄⋊Dic₃	—	5	1	no	—
209	C₄⋊Dic₃	—	10	1	no	—
210	Dic₃⋊C₄	—	10	1	no	—
211	Dic₃⋊C₄	—	10	1	no	—
212	C₄×Dic₃	C₄×D₅	1	1	yes	characteristic
213	C₄×Dic₃	D₂₀	1	1	yes	characteristic
214	C₄×Dic₃	C₂²⋊D₅	1	1	yes	characteristic
215	C₂×C₃⋊C₈	—	2	1	no	—
216	C₂×C₃⋊C₈	—	10	1	no	—
217	D₃×C₈	—	2	4	no	—
218	C₂³×C₅	—	3	1	no	—
219	C₂²×D₅	—	6	1	no	—
220	C₂×C₄×C₅	—	3	1	no	—
221	C₂×C₄×C₅	—	3	1	no	—
222	C₂×C₄×C₅	—	3	1	no	—
223	C₂×C₄×C₅	—	6	2	no	—
224	C₂×C₄×C₅	—	6	1	no	—
225	C₂×C₄×C₅	—	6	1	no	—
226	C₂×C₄×C₅	—	6	1	no	—
227	C₂×C₄×C₅	—	6	1	no	—
228	C₂×C₄×C₅	C₂×C₄×D₃	1	1	yes	characteristic
229	C₂×C₄×C₅	D₃×D₄	1	1	yes	characteristic
230	C₂×C₄×C₅	D₃×D₄	1	1	yes	characteristic
231	C₂²⋊D₅	—	12	2	no	—
232	C₂×Dic₅	—	2	1	no	—
233	C₂×Dic₅	—	2	1	no	—
234	C₂×Dic₅	—	6	1	no	—
235	D₂₀	—	6	1	no	—
236	D₂₀	—	6	1	no	—
237	C₄×D₅	—	12	1	no	—
238	C₄×D₅	—	12	1	no	—
239	Dic₁₀	—	2	1	no	—
240	Dic₁₀	—	2	1	no	—
241	C₅×C₈	—	2	2	no	—
242	C₅×C₈	—	6	2	no	—
243	#168	—	4	1	no	—
244	#168	—	12	1	no	—
245	C₂²×C₈	—	6	1	no	—
246	#126	—	30	1	no	—
247	#125	—	15	1	no	—
248	#124	—	15	1	no	—
249	#123	—	30	1	no	—
250	C₂²⋊Q₈	—	15	1	no	—
251	#121	—	15	1	no	—
252	C₄×Q₈	—	5	1	no	—
253	C₄×D₄	—	15	1	no	—
254	C₄×D₄	—	30	1	no	—
255	#117	—	30	1	no	—
256	C₂×C₄²	—	3	1	no	—
257	C₄⋊C₈	—	5	1	no	—
258	C₄⋊C₈	—	15	1	no	—
259	C₂²⋊C₈	—	30	1	no	—
260	#97	—	30	1	no	—
261	C₄×C₈	—	3	1	no	—
262	C₄×C₈	—	6	1	no	—
263	C₄×C₈	D₃×D₅	1	1	yes	characteristic
264	C₂×C₃×C₅	#408	1	1	yes	characteristic
265	C₂×C₃×C₅	#416	1	1	yes	characteristic
266	C₂×C₃×C₅	C₂×#104	1	1	yes	characteristic
267	D₁₅	—	8	1	no	—
268	C₅×D₃	—	2	2	no	—
269	C₂²×D₃	—	10	1	no	—
270	C₂²×D₃	#685	1	1	yes	characteristic
271	C₃×Q₈	—	10	1	no	—
272	C₃×Q₈	—	10	1	no	—
273	C₂×C₃×C₄	—	10	1	no	—
274	C₂×C₃×C₄	—	10	1	no	—
275	C₂×C₃×C₄	C₂×C₄×D₅	1	1	yes	characteristic
276	C₂×C₃×C₄	C₂×D₂₀	1	1	yes	characteristic
277	C₂×C₃×C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
278	C₂×Dic₃	—	10	1	no	—
279	C₂×Dic₃	#685	1	1	yes	characteristic
280	C₂×Dic₃	#685	1	1	yes	characteristic
281	C₂×Dic₃	#685	1	1	yes	characteristic
282	D₁₂	—	10	1	no	—
283	D₁₂	—	10	1	no	—
284	D₁₂	—	20	2	no	—
285	C₄×D₃	—	2	2	no	—
286	C₄×D₃	—	2	1	no	—
287	C₄×D₃	—	2	1	no	—
288	C₄×D₃	—	2	1	no	—
289	C₄×D₃	—	2	1	no	—
290	C₄×D₃	—	20	1	no	—
291	C₄×D₃	—	20	1	no	—
292	C₃×C₈	—	2	2	no	—
293	C₃×C₈	—	20	1	no	—
294	C₃⋊C₈	—	2	2	no	—
295	C₃⋊C₈	—	20	1	no	—
296	C₂²×C₅	—	3	2	no	—
297	C₂²×C₅	—	6	1	no	—
298	C₂²×C₅	—	6	1	no	—
299	C₂²×C₅	D₃×C₂²⋊C₄	1	1	yes	characteristic
300	C₂×D₅	—	12	1	no	—
301	C₂×D₅	—	12	1	no	—
302	C₂×D₅	—	12	1	no	—
303	C₄×C₅	—	2	1	no	—
304	C₄×C₅	—	6	1	no	—
305	C₄×C₅	—	6	1	no	—
306	C₄×C₅	—	6	1	no	—
307	C₄×C₅	#901	1	1	yes	characteristic
308	C₄×C₅	#907	1	1	yes	characteristic
309	C₄×C₅	#916	1	1	yes	characteristic
310	C₄×C₅	#919	1	1	yes	characteristic
311	Dic₅	—	4	1	no	—
312	Dic₅	—	4	1	no	—
313	Dic₅	—	12	1	no	—
314	C₂×Q₈	—	5	1	no	—
315	C₂×D₄	—	15	1	no	—
316	C₂×D₄	—	30	1	no	—
317	C₂²×C₄	—	3	1	no	—
318	C₂²×C₄	—	3	1	no	—
319	C₂²×C₄	—	3	1	no	—
320	C₂²×C₄	—	30	1	no	—
321	C₂×C₈	—	2	1	no	—
322	C₂×C₈	—	6	4	no	—
323	C₂×C₈	—	6	1	no	—
324	C₂×C₈	—	10	1	no	—
325	C₂×C₈	—	30	1	no	—
326	C₄⋊C₄	—	5	1	no	—
327	C₄⋊C₄	—	10	1	no	—
328	C₄⋊C₄	—	15	1	no	—
329	C₄⋊C₄	—	30	1	no	—
330	C₄⋊C₄	—	30	1	no	—
331	C₄⋊C₄	—	30	1	no	—
332	C₂²⋊C₄	—	30	1	no	—
333	C₂²⋊C₄	—	30	1	no	—
334	C₂²⋊C₄	—	30	1	no	—
335	C₂²⋊C₄	—	30	1	no	—
336	C₂²⋊C₄	—	30	1	no	—
337	C₄²	—	3	1	no	—
338	C₄²	—	3	1	no	—
339	C₄²	—	3	1	no	—
340	C₄²	—	10	1	no	—
341	C₄²	C₂×D₃×D₅	1	1	yes	characteristic
342	C₃×C₅	#1494	1	1	yes	characteristic, complemented, Hall
343	C₂²×C₃	C₂×#685	1	1	yes	characteristic
344	C₂×D₃	—	2	1	no	—
345	C₂×D₃	—	2	1	no	—
346	C₂×D₃	—	20	1	no	—
347	C₂×D₃	—	20	1	no	—
348	C₂×D₃	—	20	1	no	—
349	C₂×D₃	#3937	1	2	yes	—
350	C₃×C₄	—	2	1	no	—
351	C₃×C₄	—	20	1	no	—
352	C₃×C₄	—	20	1	no	—
353	C₃×C₄	#4047	1	1	yes	characteristic
354	C₃×C₄	#4047	1	1	yes	characteristic
355	C₃×C₄	#4050	1	1	yes	characteristic
356	C₃×C₄	#4050	1	1	yes	characteristic
357	Dic₃	—	2	1	no	—
358	Dic₃	—	2	1	no	—
359	Dic₃	—	2	1	no	—
360	Dic₃	—	20	1	no	—
361	C₂×C₅	—	6	2	no	—
362	C₂×C₅	#4727	1	1	yes	characteristic
363	C₂×C₅	#4804	1	1	yes	characteristic
364	C₂×C₅	D₃×#104	1	1	yes	characteristic
365	D₅	—	24	1	no	—
366	C₂³	—	3	1	no	—
367	C₂³	—	30	1	no	—
368	Q₈	—	10	1	no	—
369	Q₈	—	10	1	no	—
370	D₄	—	30	1	no	—
371	D₄	—	30	1	no	—
372	D₄	—	60	2	no	—
373	C₂×C₄	—	3	1	no	—
374	C₂×C₄	—	3	1	no	—
375	C₂×C₄	—	3	1	no	—
376	C₂×C₄	—	6	2	no	—
377	C₂×C₄	—	6	1	no	—
378	C₂×C₄	—	6	1	no	—
379	C₂×C₄	—	6	1	no	—
380	C₂×C₄	—	6	1	no	—
381	C₂×C₄	—	10	1	no	—
382	C₂×C₄	—	10	1	no	—
383	C₂×C₄	—	30	1	no	—
384	C₂×C₄	—	60	1	no	—
385	C₂×C₄	—	60	1	no	—
386	C₂×C₄	C₄×D₃×D₅	1	1	yes	characteristic
387	C₂×C₄	D₃×D₂₀	1	1	yes	characteristic
388	C₂×C₄	D₃×C₂²⋊D₅	1	1	yes	characteristic
389	C₈	—	2	2	no	—
390	C₈	—	6	2	no	—
391	C₈	—	20	1	no	—
392	C₈	—	60	1	no	—
393	C₂×C₃	C₂×#3937	1	1	yes	characteristic
394	C₂×C₃	#65399	1	1	yes	characteristic
395	C₂×C₃	#65402	1	1	yes	characteristic
396	D₃	—	2	2	no	—
397	D₃	—	40	1	no	—
398	C₅	#68241	1	1	yes	characteristic, complemented, Sylow
399	C₂²	—	3	2	no	—
400	C₂²	—	6	1	no	—
401	C₂²	—	6	1	no	—
402	C₂²	—	60	1	no	—
403	C₂²	—	60	1	no	—
404	C₂²	—	60	1	no	—
405	C₂²	D₃×#685	1	1	yes	characteristic
406	C₄	—	2	1	no	—
407	C₄	—	6	1	no	—
408	C₄	—	6	1	no	—
409	C₄	—	6	1	no	—
410	C₄	—	20	1	no	—
411	C₄	—	20	1	no	—
412	C₄	—	60	1	no	—
413	C₄	#91265	1	1	yes	characteristic
414	C₄	#91267	1	1	yes	characteristic
415	C₄	#91272	1	1	yes	characteristic
416	C₄	#91275	1	1	yes	characteristic
417	C₃	#10600529	1	1	yes	characteristic, complemented, Sylow
418	C₂	—	6	2	no	—
419	C₂	—	120	1	no	—
420	C₂	D₃×#3937	1	1	yes	characteristic
421	C₂	#11747643	1	1	yes	characteristic
422	C₂	#11748139	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	D₃×D₂₀
commutator	C₂×C₃×C₄×C₅	C₂²×C₄
Frattini	C₄²	C₂×D₃×D₅
Fitting	C₃×C₄×C₅×C₈	C₂²
socle	C₂²×C₃×C₅	C₂×C₂²⋊C₄
prime radical	#91460	C₄
cosocle	C₃×C₄²×C₅	C₂³
hypercenter	C₄×C₈	D₃×D₅
hypocenter	C₃×C₅	#1494
LCS	G ▷ C₂×C₃×C₄×C₅ ▷ C₂×C₃×C₅ ▷ C₃×C₅
UCS	C₁ ◁ C₂×C₄ ◁ C₄² ◁ C₄×C₈

Complements

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

N	H ≅ G/N	type
2. C₄×C₅×D₃×C₈	C₂	semidirect
3. #11746875	C₂	semidirect
4. #11746280	C₂	semidirect
5. C₃×#64676	C₂	semidirect
6. #11745841	C₂	semidirect
7. #11745838	C₂	semidirect
35. #64676	D₃	semidirect
66. C₄×D₃×C₈	D₅	semidirect
342. C₃×C₅	#1494	semidirect
398. C₅	#68241	semidirect
417. C₃	#10600529	semidirect

Maximal subgroups

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

subgroup	index
#11752499	2
C₄×C₅×D₃×C₈	2
#11746875	2
#11746280	2
C₃×#64676	2
#11745841	2
#11745838	2
#10600529	3
#68241	5