Subgroups — #11756428

Order 960.

432 conjugacy classes of subgroups.

The subgroup lattice has 416 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×C₅×#124	C₂	1	1	yes	maximal, characteristic, complemented
2	#91835	C₂	1	1	yes	maximal, characteristic, complemented
3	#91833	C₂	1	1	yes	maximal, characteristic, complemented
4	#91828	C₂	1	1	yes	maximal, characteristic
5	#91824	C₂	1	1	yes	maximal, characteristic, complemented
6	#91774	C₂	1	1	yes	maximal, characteristic, complemented
7	#91774	C₂	1	1	yes	maximal, characteristic, complemented
8	#91772	C₂	1	1	yes	maximal, characteristic, complemented
9	#91770	C₂	1	1	yes	maximal, characteristic, complemented
10	#91768	C₂	1	1	yes	maximal, characteristic, complemented
11	#91767	C₂	1	1	yes	maximal, characteristic, complemented
12	#91767	C₂	1	1	yes	maximal, characteristic, complemented
13	#91766	C₂	1	1	yes	maximal, characteristic, complemented
14	#91765	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄×Dic₃₀	C₂	1	1	yes	maximal, characteristic, complemented
16	#66003	—	3	1	no	maximal, Hall
17	C₂×C₃×C₅×Q₈	C₂²	1	1	yes	characteristic
18	C₂×C₃×C₅×D₄	C₂²	1	1	yes	characteristic
19	C₂×#1220	C₂²	1	1	yes	characteristic
20	C₂×#1220	C₂²	1	1	yes	characteristic
21	C₂²×Dic₁₅	C₂²	1	1	yes	characteristic
22	C₂²×Dic₁₅	C₂²	1	1	yes	characteristic
23	C₂×C₄×D₁₅	C₂²	1	1	yes	characteristic
24	C₂×Dic₃₀	C₂²	1	1	yes	characteristic
25	C₂×Dic₃₀	C₂²	1	1	yes	characteristic
26	C₃×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
27	C₃×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
28	C₃×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
29	C₃×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
30	C₃×C₄²×C₅	C₂²	1	1	yes	characteristic
31	#6719	C₂²	1	1	yes	characteristic
32	#6719	C₂²	1	1	yes	characteristic
33	#6719	C₂²	1	1	yes	characteristic
34	#6719	C₂²	1	1	yes	characteristic
35	#6714	C₂²	1	1	yes	characteristic
36	#6714	C₂²	1	1	yes	characteristic
37	#6714	C₂²	1	1	yes	characteristic
38	#6714	C₂²	1	1	yes	characteristic
39	C₄⋊Dic₁₅	C₂²	1	1	yes	characteristic
40	C₄⋊Dic₁₅	C₂²	1	1	yes	characteristic
41	#6712	C₂²	1	1	yes	characteristic
42	#6712	C₂²	1	1	yes	characteristic
43	#6712	C₂²	1	1	yes	characteristic
44	#6712	C₂²	1	1	yes	characteristic
45	#6712	C₂²	1	1	yes	characteristic
46	#6712	C₂²	1	1	yes	characteristic
47	#6712	C₂²	1	1	yes	characteristic
48	#6712	C₂²	1	1	yes	characteristic
49	C₄×Dic₁₅	C₂²	1	1	yes	characteristic
50	C₄×Dic₁₅	C₂²	1	1	yes	characteristic
51	C₄×Dic₁₅	C₂²	1	1	yes	characteristic
52	#5669	—	5	1	no	maximal, Hall
53	C₅×#124	D₃	1	1	yes	characteristic, complemented
54	#4092	—	3	1	no	—
55	#4090	—	3	1	no	—
56	#4085	—	3	1	no	—
57	#4081	—	3	1	no	—
58	#4031	—	3	1	no	—
59	#4031	—	3	1	no	—
60	#4029	—	3	1	no	—
61	#4027	—	3	1	no	—
62	#4025	—	3	1	no	—
63	#4024	—	3	1	no	—
64	#4024	—	3	1	no	—
65	#4023	—	3	1	no	—
66	#4022	—	3	1	no	—
67	C₄×Dic₁₀	—	3	1	no	—
68	C₂³×C₃×C₅	C₂³	1	1	yes	characteristic
69	C₂³×C₃×C₅	C₂³	1	1	yes	characteristic
70	C₂²×D₁₅	C₂³	1	1	yes	characteristic
71	C₃×C₅×Q₈	—	4	1	no	—
72	C₃×C₅×D₄	—	4	1	no	—
73	C₂×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
74	C₂×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
75	C₂×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
76	C₂×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
77	C₂×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
78	#1220	—	2	2	no	—
79	#1220	—	4	1	no	—
80	C₂×Dic₁₅	—	2	2	no	—
81	C₂×Dic₁₅	—	4	1	no	—
82	C₂×Dic₁₅	C₂³	1	1	yes	characteristic
83	C₂×Dic₁₅	C₂³	1	1	yes	characteristic
84	C₂×Dic₁₅	C₂³	1	1	yes	characteristic
85	C₂×Dic₁₅	C₂³	1	1	yes	characteristic
86	C₂×Dic₁₅	C₂³	1	1	yes	characteristic
87	C₂×Dic₁₅	C₂³	1	1	yes	characteristic
88	C₂×Dic₁₅	C₂³	1	1	yes	characteristic
89	C₄×D₁₅	—	4	1	no	—
90	Dic₃₀	—	2	2	no	—
91	Dic₃₀	—	4	1	no	—
92	C₃×#124	D₅	1	1	yes	characteristic, complemented
93	#946	—	5	1	no	—
94	#944	—	5	1	no	—
95	#939	—	5	1	no	—
96	#935	—	5	1	no	—
97	#885	—	5	1	no	—
98	#885	—	5	1	no	—
99	#883	—	5	1	no	—
100	#67⋊C₄	—	5	1	no	—
101	#879	—	5	1	no	—
102	#878	—	5	1	no	—
103	#878	—	5	1	no	—
104	#877	—	5	1	no	—
105	#876	—	5	1	no	—
106	C₄×Dic₆	—	5	1	no	—
107	C₂×C₅×Q₈	C₂×D₃	1	1	yes	characteristic
108	C₂×C₅×D₄	C₂×D₃	1	1	yes	characteristic
109	C₂×C₂²⋊D₅	—	3	1	no	—
110	C₂×C₂²⋊D₅	—	3	1	no	—
111	C₂²×Dic₅	—	3	1	no	—
112	C₂²×Dic₅	—	3	1	no	—
113	C₂×C₄×D₅	—	3	1	no	—
114	C₂×Dic₁₀	—	3	1	no	—
115	C₂×Dic₁₀	—	3	1	no	—
116	C₅×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic
117	C₅×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic
118	C₅×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic
119	C₅×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic
120	C₄²×C₅	C₂×D₃	1	1	yes	characteristic
121	C₂²⋊Dic₅	—	3	1	no	—
122	C₂²⋊Dic₅	—	3	1	no	—
123	C₂²⋊Dic₅	—	3	1	no	—
124	C₂²⋊Dic₅	—	3	1	no	—
125	#685	—	3	1	no	—
126	#685	—	3	1	no	—
127	#685	—	3	1	no	—
128	#685	—	3	1	no	—
129	C₄⋊Dic₅	—	3	1	no	—
130	C₄⋊Dic₅	—	3	1	no	—
131	#683	—	3	1	no	—
132	#683	—	3	1	no	—
133	#683	—	3	1	no	—
134	#683	—	3	1	no	—
135	#683	—	3	1	no	—
136	#683	—	3	1	no	—
137	#683	—	3	1	no	—
138	#683	—	3	1	no	—
139	C₄×Dic₅	—	3	1	no	—
140	C₄×Dic₅	—	3	1	no	—
141	C₄×Dic₅	—	3	1	no	—
142	#542	—	15	1	no	Sylow
143	C₂²×C₃×C₅	—	2	1	no	—
144	C₂²×C₃×C₅	—	2	1	no	—
145	C₂²×C₃×C₅	—	2	1	no	—
146	C₂²×C₃×C₅	—	2	1	no	—
147	C₂²×C₃×C₅	—	2	1	no	—
148	C₂²×C₃×C₅	—	2	1	no	—
149	C₂²×C₃×C₅	C₂⁴	1	1	yes	characteristic
150	C₂×D₁₅	—	2	1	no	—
151	C₂×D₁₅	—	2	1	no	—
152	C₂×D₁₅	—	2	1	no	—
153	C₃×C₄×C₅	—	2	1	no	—
154	C₃×C₄×C₅	—	2	1	no	—
155	C₃×C₄×C₅	—	2	1	no	—
156	C₃×C₄×C₅	—	2	1	no	—
157	C₃×C₄×C₅	—	2	1	no	—
158	Dic₁₅	—	2	1	no	—
159	Dic₁₅	—	2	1	no	—
160	Dic₁₅	—	2	1	no	—
161	Dic₁₅	—	2	1	no	—
162	Dic₁₅	—	2	1	no	—
163	Dic₁₅	—	2	1	no	—
164	Dic₁₅	#41	1	2	yes	—
165	C₂×C₃×Q₈	C₂×D₅	1	1	yes	characteristic
166	C₂×C₃×D₄	C₂×D₅	1	1	yes	characteristic
167	C₂×#67	—	5	1	no	—
168	C₂×#67	—	5	1	no	—
169	C₂²×Dic₃	—	5	1	no	—
170	C₂²×Dic₃	—	5	1	no	—
171	C₂×C₄×D₃	—	5	1	no	—
172	C₂×Dic₆	—	5	1	no	—
173	C₂×Dic₆	—	5	1	no	—
174	C₃×C₂²⋊C₄	C₂×D₅	1	1	yes	characteristic
175	C₃×C₂²⋊C₄	C₂×D₅	1	1	yes	characteristic
176	C₃×C₂²⋊C₄	C₂×D₅	1	1	yes	characteristic
177	C₃×C₂²⋊C₄	C₂×D₅	1	1	yes	characteristic
178	C₃×C₄²	C₂×D₅	1	1	yes	characteristic
179	#217	—	5	1	no	—
180	#217	—	5	1	no	—
181	#217	—	5	1	no	—
182	#217	—	5	1	no	—
183	(C₂×D₃)⋊C₄	—	5	1	no	—
184	(C₂×D₃)⋊C₄	—	5	1	no	—
185	(C₂×D₃)⋊C₄	—	5	1	no	—
186	(C₂×D₃)⋊C₄	—	5	1	no	—
187	C₄⋊Dic₃	—	5	1	no	—
188	C₄⋊Dic₃	—	5	1	no	—
189	Dic₃⋊C₄	—	5	1	no	—
190	Dic₃⋊C₄	—	5	1	no	—
191	Dic₃⋊C₄	—	5	1	no	—
192	Dic₃⋊C₄	—	5	1	no	—
193	Dic₃⋊C₄	—	5	1	no	—
194	Dic₃⋊C₄	—	5	1	no	—
195	Dic₃⋊C₄	—	5	1	no	—
196	Dic₃⋊C₄	—	5	1	no	—
197	C₄×Dic₃	—	5	1	no	—
198	C₄×Dic₃	—	5	1	no	—
199	C₄×Dic₃	—	5	1	no	—
200	C₂³×C₅	C₂²×D₃	1	1	yes	characteristic
201	C₂³×C₅	C₂²×D₃	1	1	yes	characteristic
202	C₂²×D₅	—	3	1	no	—
203	C₅×Q₈	—	4	1	no	—
204	C₅×D₄	—	4	1	no	—
205	C₂×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
206	C₂×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
207	C₂×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
208	C₂×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
209	C₂×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
210	C₂²⋊D₅	—	6	2	no	—
211	C₂²⋊D₅	—	12	1	no	—
212	C₂×Dic₅	—	3	1	no	—
213	C₂×Dic₅	—	3	1	no	—
214	C₂×Dic₅	—	3	1	no	—
215	C₂×Dic₅	—	3	1	no	—
216	C₂×Dic₅	—	3	1	no	—
217	C₂×Dic₅	—	3	1	no	—
218	C₂×Dic₅	—	3	1	no	—
219	C₂×Dic₅	—	6	2	no	—
220	C₂×Dic₅	—	12	1	no	—
221	C₄×D₅	—	12	1	no	—
222	Dic₁₀	—	6	2	no	—
223	Dic₁₀	—	12	1	no	—
224	C₄⋊Q₈	—	15	1	no	—
225	#126	—	15	1	no	—
226	#126	—	15	1	no	—
227	#124	—	15	1	no	—
228	#124	—	15	1	no	—
229	#124	D₁₅	1	1	yes	characteristic, complemented
230	#123	—	15	1	no	—
231	#123	—	15	1	no	—
232	C₂²⋊Q₈	—	15	1	no	—
233	C₂²⋊Q₈	—	15	1	no	—
234	C₂²⋊Q₈	—	15	1	no	—
235	#121	—	15	1	no	—
236	C₄×Q₈	—	15	1	no	—
237	C₄×D₄	—	15	1	no	—
238	#117	—	15	1	no	—
239	C₂×C₃×C₅	—	4	1	no	—
240	C₂×C₃×C₅	—	4	1	no	—
241	C₂×C₃×C₅	C₂×#41	1	1	yes	characteristic
242	C₂×C₃×C₅	H(5,𝔽₂)	1	1	yes	characteristic
243	C₂×C₃×C₅	2₋¹⁺⁴	1	1	yes	characteristic
244	D₁₅	—	4	1	no	—
245	C₂³×C₃	C₂²×D₅	1	1	yes	characteristic
246	C₂³×C₃	C₂²×D₅	1	1	yes	characteristic
247	C₂²×D₃	—	5	1	no	—
248	C₃×Q₈	—	4	1	no	—
249	C₃×D₄	—	4	1	no	—
250	C₂×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
251	C₂×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
252	C₂×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
253	C₂×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
254	C₂×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
255	#67	—	10	2	no	—
256	#67	—	20	1	no	—
257	C₂×Dic₃	—	5	1	no	—
258	C₂×Dic₃	—	5	1	no	—
259	C₂×Dic₃	—	5	1	no	—
260	C₂×Dic₃	—	5	1	no	—
261	C₂×Dic₃	—	5	1	no	—
262	C₂×Dic₃	—	5	1	no	—
263	C₂×Dic₃	—	5	1	no	—
264	C₂×Dic₃	—	10	2	no	—
265	C₂×Dic₃	—	20	1	no	—
266	C₄×D₃	—	20	1	no	—
267	Dic₆	—	10	2	no	—
268	Dic₆	—	20	1	no	—
269	C₂²×C₅	—	2	1	no	—
270	C₂²×C₅	—	2	1	no	—
271	C₂²×C₅	—	2	1	no	—
272	C₂²×C₅	—	2	1	no	—
273	C₂²×C₅	—	2	1	no	—
274	C₂²×C₅	—	2	1	no	—
275	C₂²×C₅	C₂³×D₃	1	1	yes	characteristic
276	C₂×D₅	—	6	1	no	—
277	C₂×D₅	—	6	1	no	—
278	C₂×D₅	—	6	1	no	—
279	C₄×C₅	—	2	1	no	—
280	C₄×C₅	—	2	1	no	—
281	C₄×C₅	—	2	1	no	—
282	C₄×C₅	—	2	1	no	—
283	C₄×C₅	—	2	1	no	—
284	Dic₅	—	3	2	no	—
285	Dic₅	—	6	1	no	—
286	Dic₅	—	6	1	no	—
287	Dic₅	—	6	1	no	—
288	Dic₅	—	6	1	no	—
289	Dic₅	—	6	1	no	—
290	Dic₅	—	6	1	no	—
291	C₂×Q₈	—	15	1	no	—
292	C₂×Q₈	—	15	1	no	—
293	C₂×Q₈	C₂×D₁₅	1	1	yes	characteristic
294	C₂×D₄	—	15	1	no	—
295	C₂×D₄	—	15	1	no	—
296	C₂×D₄	C₂×D₁₅	1	1	yes	characteristic
297	C₂²×C₄	—	15	1	no	—
298	C₂²×C₄	—	15	1	no	—
299	C₂²×C₄	—	15	1	no	—
300	C₄⋊C₄	—	15	1	no	—
301	C₄⋊C₄	—	15	1	no	—
302	C₄⋊C₄	—	15	1	no	—
303	C₄⋊C₄	—	15	1	no	—
304	C₄⋊C₄	—	15	1	no	—
305	C₄⋊C₄	—	15	1	no	—
306	C₄⋊C₄	—	15	1	no	—
307	C₄⋊C₄	—	15	1	no	—
308	C₄⋊C₄	—	15	1	no	—
309	C₄⋊C₄	—	15	1	no	—
310	C₂²⋊C₄	—	15	1	no	—
311	C₂²⋊C₄	—	15	1	no	—
312	C₂²⋊C₄	—	15	1	no	—
313	C₂²⋊C₄	—	15	1	no	—
314	C₂²⋊C₄	—	15	1	no	—
315	C₂²⋊C₄	—	15	1	no	—
316	C₂²⋊C₄	—	15	1	no	—
317	C₂²⋊C₄	—	15	1	no	—
318	C₂²⋊C₄	C₂×D₁₅	1	1	yes	characteristic
319	C₂²⋊C₄	C₂×D₁₅	1	1	yes	characteristic
320	C₂²⋊C₄	C₂×D₁₅	1	1	yes	characteristic
321	C₂²⋊C₄	C₂×D₁₅	1	1	yes	characteristic
322	C₄²	—	15	1	no	—
323	C₄²	—	15	1	no	—
324	C₄²	—	15	1	no	—
325	C₄²	C₂×D₁₅	1	1	yes	characteristic
326	C₃×C₅	#542	1	1	yes	characteristic, complemented, Hall
327	C₂²×C₃	—	2	1	no	—
328	C₂²×C₃	—	2	1	no	—
329	C₂²×C₃	—	2	1	no	—
330	C₂²×C₃	—	2	1	no	—
331	C₂²×C₃	—	2	1	no	—
332	C₂²×C₃	—	2	1	no	—
333	C₂²×C₃	C₂³×D₅	1	1	yes	characteristic
334	C₂×D₃	—	10	1	no	—
335	C₂×D₃	—	10	1	no	—
336	C₂×D₃	—	10	1	no	—
337	C₃×C₄	—	2	1	no	—
338	C₃×C₄	—	2	1	no	—
339	C₃×C₄	—	2	1	no	—
340	C₃×C₄	—	2	1	no	—
341	C₃×C₄	—	2	1	no	—
342	Dic₃	—	5	2	no	—
343	Dic₃	—	10	1	no	—
344	Dic₃	—	10	1	no	—
345	Dic₃	—	10	1	no	—
346	Dic₃	—	10	1	no	—
347	Dic₃	—	10	1	no	—
348	Dic₃	—	10	1	no	—
349	C₂×C₅	—	4	1	no	—
350	C₂×C₅	—	4	1	no	—
351	C₂×C₅	#1004	1	1	yes	characteristic
352	C₂×C₅	D₃×#41	1	1	yes	characteristic
353	C₂×C₅	#1010	1	1	yes	characteristic
354	D₅	—	12	1	no	—
355	C₂³	—	15	1	no	—
356	C₂³	C₂²×D₁₅	1	1	yes	characteristic
357	C₂³	C₂²×D₁₅	1	1	yes	characteristic
358	Q₈	—	4	1	no	—
359	Q₈	—	30	2	no	—
360	Q₈	—	60	1	no	—
361	D₄	—	4	1	no	—
362	D₄	—	30	2	no	—
363	D₄	—	60	1	no	—
364	C₂×C₄	—	15	1	no	—
365	C₂×C₄	—	15	1	no	—
366	C₂×C₄	—	15	1	no	—
367	C₂×C₄	—	15	1	no	—
368	C₂×C₄	—	15	1	no	—
369	C₂×C₄	—	15	1	no	—
370	C₂×C₄	—	15	1	no	—
371	C₂×C₄	—	30	2	no	—
372	C₂×C₄	—	60	1	no	—
373	C₂×C₄	—	60	1	no	—
374	C₂×C₄	C₂²×D₁₅	1	1	yes	characteristic
375	C₂×C₄	C₂²×D₁₅	1	1	yes	characteristic
376	C₂×C₄	C₂²×D₁₅	1	1	yes	characteristic
377	C₂×C₄	C₂²×D₁₅	1	1	yes	characteristic
378	C₂×C₄	C₂²×D₁₅	1	1	yes	characteristic
379	C₂×C₃	—	4	1	no	—
380	C₂×C₃	—	4	1	no	—
381	C₂×C₃	#4144	1	1	yes	characteristic
382	C₂×C₃	D₅×#41	1	1	yes	characteristic
383	C₂×C₃	#4150	1	1	yes	characteristic
384	D₃	—	20	1	no	—
385	C₅	#5669	1	1	yes	characteristic, complemented, Sylow
386	C₂²	—	2	1	no	—
387	C₂²	—	2	1	no	—
388	C₂²	—	2	1	no	—
389	C₂²	—	2	1	no	—
390	C₂²	—	2	1	no	—
391	C₂²	—	2	1	no	—
392	C₂²	—	30	1	no	—
393	C₂²	—	30	1	no	—
394	C₂²	—	30	1	no	—
395	C₂²	C₂³×D₁₅	1	1	yes	characteristic
396	C₄	—	2	1	no	—
397	C₄	—	2	1	no	—
398	C₄	—	2	1	no	—
399	C₄	—	2	1	no	—
400	C₄	—	2	1	no	—
401	C₄	—	15	2	no	—
402	C₄	—	30	1	no	—
403	C₄	—	30	1	no	—
404	C₄	—	30	1	no	—
405	C₄	—	30	1	no	—
406	C₄	—	30	1	no	—
407	C₄	—	30	1	no	—
408	C₃	#66003	1	1	yes	characteristic, complemented, Sylow
409	C₂	—	4	1	no	—
410	C₂	—	4	1	no	—
411	C₂	—	60	1	no	—
412	C₂	#92095	1	1	yes	characteristic
413	C₂	#41×D₁₅	1	1	yes	characteristic
414	C₂	#92101	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂³×D₁₅
commutator, socle, cosocle	C₂²×C₃×C₅	C₂⁴
Fitting	C₃×C₅×#124	C₂
prime radical	#91828	C₂
hypercenter	#124	D₁₅
hypocenter	C₃×C₅	#542
LCS	G ▷ C₂²×C₃×C₅ ▷ C₃×C₅
UCS	C₁ ◁ C₂² ◁ #124

Complements

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

N	H ≅ G/N	type
1. C₃×C₅×#124	C₂	semidirect
2. #91835	C₂	semidirect
3. #91833	C₂	semidirect
5. #91824	C₂	semidirect
6. #91774	C₂	semidirect
7. #91774	C₂	semidirect
8. #91772	C₂	semidirect
9. #91770	C₂	semidirect
10. #91768	C₂	semidirect
11. #91767	C₂	semidirect
12. #91767	C₂	semidirect
13. #91766	C₂	semidirect
14. #91765	C₂	semidirect
15. C₄×Dic₃₀	C₂	semidirect
53. C₅×#124	D₃	semidirect
92. C₃×#124	D₅	semidirect
229. #124	D₁₅	semidirect
326. C₃×C₅	#542	semidirect
385. C₅	#5669	semidirect
408. C₃	#66003	semidirect

Maximal subgroups

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

subgroup	index
C₃×C₅×#124	2
#91835	2
#91833	2
#91828	2
#91824	2
#91774	2
#91772	2
#91770	2
#91768	2
#91767	2
#91766	2
#91765	2
C₄×Dic₃₀	2
#66003	3
#5669	5