Subgroups — #14478481

Order 1920.

728 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	D₃×#4050	C₂	1	2	yes	maximal, complemented
2	#11751005	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₅×#798	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#65193	C₂	1	1	yes	maximal, characteristic, complemented
5	#11747542	C₂	1	2	yes	maximal, complemented
6	#11746837	C₂	1	2	yes	maximal, complemented
7	#11746830	C₂	1	2	yes	maximal, complemented
8	#11746821	C₂	1	2	yes	maximal, complemented
9	#11746820	C₂	1	2	yes	maximal, complemented
10	#10613740	—	3	1	no	maximal, Hall
11	D₃×#709	—	2	2	no	—
12	#91793	C₂²	1	2	yes	complemented
13	C₂×C₅×D₃×C₈	C₂²	1	1	yes	characteristic
14	C₃×#4050	C₂²	1	2	yes	complemented
15	#91311	—	2	2	no	—
16	#91275	C₂²	1	2	yes	—
17	#91273	C₂²	1	2	yes	—
18	#91272	—	2	2	no	—
19	D₃×Dic₂₀	C₂²	1	2	yes	complemented
20	D₃×D₄₀	C₂²	1	2	yes	complemented
21	D₃×#677	—	2	2	no	—
22	C₂×C₃×C₅×C₁₆	C₂²	1	1	yes	characteristic, complemented
23	Dic₁₂₀	C₂²	1	1	yes	characteristic, complemented
24	#91084	C₂²	1	2	yes	complemented
25	D₂₄₀	C₂²	1	1	yes	characteristic, complemented
26	C₂×C₅×C₃⋊C₁₆	C₂²	1	1	yes	characteristic, complemented
27	C₅×#798	C₂²	1	2	yes	complemented
28	C₅×#798	C₂²	1	2	yes	complemented
29	C₃×Dic₄₀	C₂²	1	1	yes	characteristic, complemented
30	C₃×#3932	C₂²	1	2	yes	complemented
31	C₃×D₈₀	C₂²	1	1	yes	characteristic, complemented
32	#90947	C₂²	1	2	yes	complemented
33	#90943	C₂²	1	2	yes	complemented
34	#90942	C₂²	1	2	yes	complemented
35	#90938	C₂²	1	2	yes	complemented
36	#82030	—	5	1	no	maximal, Hall
37	C₂×#4050	—	3	2	no	—
38	C₂×C₅×M₃₂	—	3	1	no	—
39	#65198	—	3	2	no	—
40	#65198	—	3	2	no	—
41	#65197	—	3	2	no	—
42	#65197	—	3	2	no	—
43	#65193	—	3	2	no	—
44	#65193	—	3	1	no	—
45	#65193	D₃	1	1	yes	characteristic, complemented
46	#6817	—	2	2	no	—
47	C₂×C₄×C₅×D₃	D₄	1	1	yes	characteristic
48	C₃×#709	—	2	2	no	—
49	D₃×C₂²⋊D₅	—	4	2	no	—
50	#6779	—	4	2	no	—
51	D₃×D₂₀	—	2	2	no	—
52	C₄×D₃×D₅	—	4	2	no	—
53	#6771	—	4	2	no	—
54	#6769	—	2	2	no	—
55	D₃×Dic₁₀	—	2	2	no	—
56	#6765	—	2	2	no	—
57	C₂×C₃×C₅×C₈	C₂³	1	1	yes	characteristic
58	Dic₆₀	C₂³	1	2	yes	—
59	D₁₂₀	C₂³	1	2	yes	—
60	#6706	—	2	2	no	—
61	C₂×C₅×C₃⋊C₈	D₄	1	1	yes	characteristic
62	C₅×D₃×C₈	D₄	1	2	yes	—
63	C₅×D₃×C₈	C₂³	1	2	yes	—
64	C₃×Dic₂₀	C₂³	1	2	yes	—
65	C₃×D₄₀	C₂³	1	2	yes	—
66	C₃×#677	—	2	2	no	—
67	#6662	—	2	2	no	—
68	#6658	—	2	2	no	—
69	#6657	—	2	2	no	—
70	#6653	—	2	2	no	—
71	C₃×C₅×C₁₆	C₂³	1	1	yes	characteristic
72	C₃×C₅×C₁₆	C₂³	1	1	yes	characteristic
73	C₅×C₃⋊C₁₆	C₂³	1	2	yes	—
74	D₃×#135	—	5	2	no	—
75	C₃×#508	—	5	1	no	—
76	#5194	—	5	2	no	—
77	#4918	—	5	2	no	—
78	#4915	—	5	2	no	—
79	#4914	—	5	2	no	—
80	#4911	—	5	2	no	—
81	#4904	—	5	1	no	—
82	C₂×#798	D₅	1	1	yes	characteristic, complemented
83	C₂×#709	—	6	2	no	—
84	C₂²×C₅×C₈	—	3	1	no	—
85	C₂×Dic₂₀	—	3	2	no	—
86	#4050	—	3	2	no	—
87	#4050	—	3	2	no	—
88	#4050	—	3	2	no	—
89	#4050	—	6	2	no	—
90	#4050	—	6	2	no	—
91	#4050	C₂×D₃	1	2	yes	complemented
92	C₂×D₄₀	—	3	2	no	—
93	C₂×#677	—	6	2	no	—
94	C₅×M₃₂	—	3	2	no	—
95	C₅×M₃₂	—	3	2	no	—
96	C₂×C₅×C₁₆	—	3	1	no	—
97	C₂×C₅×C₁₆	C₂×D₃	1	1	yes	characteristic, complemented
98	Dic₄₀	—	3	2	no	—
99	Dic₄₀	—	3	1	no	—
100	Dic₄₀	C₂×D₃	1	1	yes	characteristic, complemented
101	#3932	—	3	2	no	—
102	#3932	—	3	2	no	—
103	#3932	—	3	2	no	—
104	#3932	C₂×D₃	1	2	yes	complemented
105	D₈₀	—	3	2	no	—
106	D₈₀	—	3	1	no	—
107	D₈₀	C₂×D₃	1	1	yes	characteristic, complemented
108	#3414	—	15	1	no	Sylow
109	C₂²×C₅×D₃	D₈	1	1	yes	characteristic
110	C₂×D₃×D₅	—	4	2	no	—
111	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
112	#1220	—	4	2	no	—
113	D₆₀	—	2	2	no	—
114	C₄×D₁₅	—	4	2	no	—
115	Dic₃₀	—	2	2	no	—
116	C₂×C₅×Dic₃	D₈	1	1	yes	characteristic
117	C₄×C₅×D₃	D₈	1	2	yes	—
118	C₄×C₅×D₃	C₂×D₄	1	2	yes	—
119	C₃×C₂²⋊D₅	—	4	2	no	—
120	C₃×D₂₀	—	2	2	no	—
121	C₃×C₄×D₅	—	4	2	no	—
122	C₃×Dic₁₀	—	2	2	no	—
123	#1204	—	4	2	no	—
124	#1203	—	4	2	no	—
125	#1202	—	4	2	no	—
126	#1201	—	4	2	no	—
127	#1200	—	4	2	no	—
128	D₃×Dic₅	—	4	2	no	—
129	D₅×Dic₃	—	4	2	no	—
130	C₃×C₅×C₈	C₂×D₄	1	1	yes	characteristic
131	C₃×C₅×C₈	C₂⁴	1	1	yes	characteristic
132	C₅×C₃⋊C₈	C₂×D₄	1	2	yes	—
133	D₃×#41	—	10	2	no	—
134	C₃×#135	—	5	2	no	—
135	#950	—	10	2	no	—
136	#919	—	5	2	no	—
137	D₃×Q₁₆	—	5	2	no	—
138	#916	—	10	2	no	—
139	D₃×SD₁₆	—	10	2	no	—
140	#912	—	5	2	no	—
141	D₃×D₈	—	5	2	no	—
142	#904	—	5	2	no	—
143	C₂×D₃×C₈	C₂×D₅	1	1	yes	characteristic
144	C₃×Q₃₂	—	5	1	no	—
145	C₃×SD₃₂	—	5	2	no	—
146	C₃×D₁₆	—	5	1	no	—
147	C₂×C₃×C₁₆	C₂×D₅	1	1	yes	characteristic, complemented
148	#829	—	5	2	no	—
149	#828	—	5	2	no	—
150	#827	—	5	2	no	—
151	#826	—	5	2	no	—
152	C₂×C₃⋊C₁₆	C₂×D₅	1	1	yes	characteristic, complemented
153	Dic₂₄	—	5	1	no	—
154	#800	—	5	2	no	—
155	D₄₈	—	5	1	no	—
156	#798	C₂×D₅	1	2	yes	complemented
157	#798	C₂×D₅	1	2	yes	complemented
158	C₂²×C₄×C₅	—	3	1	no	—
159	C₂×C₂²⋊D₅	—	12	2	no	—
160	#709	—	2	2	no	—
161	#709	—	6	2	no	—
162	#709	—	6	2	no	—
163	#709	—	6	2	no	—
164	#709	—	12	2	no	—
165	#709	—	12	2	no	—
166	C₂×D₂₀	—	6	2	no	—
167	C₂×C₄×D₅	—	12	2	no	—
168	C₂×Dic₁₀	—	6	2	no	—
169	C₂×C₅×C₈	—	3	1	no	—
170	C₂×C₅×C₈	—	3	2	no	—
171	C₂×C₅×C₈	—	3	2	no	—
172	C₂×C₅×C₈	C₂²×D₃	1	1	yes	characteristic
173	Dic₂₀	—	3	2	no	—
174	Dic₂₀	—	6	2	no	—
175	Dic₂₀	C₂²×D₃	1	2	yes	—
176	D₄₀	—	3	2	no	—
177	D₄₀	—	6	2	no	—
178	D₄₀	C₂²×D₃	1	2	yes	—
179	#677	—	2	2	no	—
180	#677	—	6	2	no	—
181	#677	—	6	2	no	—
182	#677	—	6	2	no	—
183	C₅×C₁₆	—	3	2	no	—
184	C₅×C₁₆	C₂²×D₃	1	1	yes	characteristic
185	C₅×C₁₆	C₂²×D₃	1	1	yes	characteristic
186	C₂×#135	—	15	2	no	—
187	#510	—	15	2	no	—
188	#510	—	15	2	no	—
189	#509	—	15	2	no	—
190	#509	—	15	2	no	—
191	#508	—	5	1	no	—
192	#508	—	15	2	no	—
193	#508	—	15	1	no	—
194	C₂×M₃₂	—	3	1	no	—
195	C₂²×C₃×C₅	C₂×D₈	1	1	yes	characteristic
196	C₂×D₁₅	—	4	2	no	—
197	C₂×C₅×D₃	—	4	1	no	—
198	C₂×C₅×D₃	C₂×D₈	1	2	yes	—
199	C₂×C₃×D₅	—	4	2	no	—
200	D₃×D₅	—	8	4	no	—
201	C₃×C₄×C₅	C₂×D₈	1	1	yes	characteristic
202	C₃×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
203	Dic₁₅	—	4	2	no	—
204	C₃×Dic₅	—	4	2	no	—
205	C₅×Dic₃	C₂×D₈	1	2	yes	—
206	C₃×#41	—	10	2	no	—
207	#239	—	10	2	no	—
208	D₃×Q₈	—	10	2	no	—
209	#237	—	10	2	no	—
210	#237	—	20	2	no	—
211	D₃×D₄	—	10	2	no	—
212	D₃×D₄	—	20	2	no	—
213	#235	—	10	2	no	—
214	#235	—	20	2	no	—
215	C₂×C₄×D₃	—	20	2	no	—
216	C₂×C₄×D₃	D₂₀	1	1	yes	characteristic
217	C₃×Q₁₆	—	5	2	no	—
218	C₃×SD₁₆	—	10	2	no	—
219	C₃×D₈	—	5	2	no	—
220	C₂×C₃×C₈	C₂²×D₅	1	1	yes	characteristic
221	#216	—	10	2	no	—
222	#215	—	10	2	no	—
223	#214	—	10	2	no	—
224	#213	—	10	2	no	—
225	C₂×C₃⋊C₈	D₂₀	1	1	yes	characteristic
226	Dic₁₂	—	5	2	no	—
227	D₂₄	—	5	2	no	—
228	#204	—	10	2	no	—
229	D₃×C₈	D₂₀	1	2	yes	—
230	D₃×C₈	C₂²×D₅	1	2	yes	—
231	C₃×C₁₆	C₂²×D₅	1	1	yes	characteristic
232	C₃×C₁₆	C₂²×D₅	1	1	yes	characteristic
233	C₃⋊C₁₆	C₂²×D₅	1	2	yes	—
234	C₂³×C₅	—	3	1	no	—
235	C₂²×D₅	—	12	2	no	—
236	C₂×C₄×C₅	—	3	1	no	—
237	C₂×C₄×C₅	—	3	2	no	—
238	C₂×C₄×C₅	—	3	2	no	—
239	C₂×C₄×C₅	D₃×D₄	1	1	yes	characteristic
240	C₂²⋊D₅	—	4	2	no	—
241	C₂²⋊D₅	—	12	2	no	—
242	C₂²⋊D₅	—	12	2	no	—
243	C₂²⋊D₅	—	12	2	no	—
244	C₂×Dic₅	—	12	2	no	—
245	D₂₀	—	2	2	no	—
246	D₂₀	—	6	2	no	—
247	D₂₀	—	12	2	no	—
248	C₄×D₅	—	4	2	no	—
249	C₄×D₅	—	12	2	no	—
250	C₄×D₅	—	12	2	no	—
251	C₄×D₅	—	12	2	no	—
252	Dic₁₀	—	2	2	no	—
253	Dic₁₀	—	6	2	no	—
254	Dic₁₀	—	12	2	no	—
255	C₅×C₈	—	3	2	no	—
256	C₅×C₈	D₃×D₄	1	1	yes	characteristic
257	C₅×C₈	C₂³×D₃	1	1	yes	characteristic
258	C₂×#41	—	30	2	no	—
259	#135	—	5	2	no	—
260	#135	—	15	2	no	—
261	#135	—	15	2	no	—
262	#135	—	15	2	no	—
263	#135	—	30	2	no	—
264	#135	—	30	2	no	—
265	C₂×Q₁₆	—	15	2	no	—
266	C₂×SD₁₆	—	30	2	no	—
267	C₂×D₈	—	15	2	no	—
268	C₂²×C₈	—	3	1	no	—
269	Q₃₂	—	5	1	no	—
270	Q₃₂	—	15	2	no	—
271	Q₃₂	—	15	1	no	—
272	SD₃₂	—	5	2	no	—
273	SD₃₂	—	15	2	no	—
274	SD₃₂	—	15	2	no	—
275	SD₃₂	—	15	2	no	—
276	D₁₆	—	5	1	no	—
277	D₁₆	—	15	2	no	—
278	D₁₆	—	15	1	no	—
279	M₃₂	—	3	2	no	—
280	M₃₂	—	3	2	no	—
281	C₂×C₁₆	—	3	1	no	—
282	C₂×C₁₆	D₃×D₅	1	1	yes	characteristic, complemented
283	C₂×C₃×C₅	—	2	1	no	—
284	C₂×C₃×C₅	C₂²×D₈	1	1	yes	characteristic
285	D₁₅	—	8	2	no	—
286	C₃×D₅	—	8	2	no	—
287	C₅×D₃	—	2	2	no	—
288	C₂²×D₃	—	20	2	no	—
289	C₂²×D₃	D₄₀	1	1	yes	characteristic
290	C₃×Q₈	—	10	2	no	—
291	C₃×D₄	—	10	2	no	—
292	C₃×D₄	—	20	2	no	—
293	C₂×C₃×C₄	—	20	2	no	—
294	C₂×C₃×C₄	C₂×D₂₀	1	1	yes	characteristic
295	#67	—	20	2	no	—
296	#67	—	20	2	no	—
297	#67	—	20	2	no	—
298	C₂×Dic₃	—	20	2	no	—
299	C₂×Dic₃	D₄₀	1	1	yes	characteristic
300	D₁₂	—	10	2	no	—
301	D₁₂	—	20	2	no	—
302	C₄×D₃	—	20	2	no	—
303	C₄×D₃	—	20	2	no	—
304	C₄×D₃	—	20	2	no	—
305	C₄×D₃	D₄₀	1	2	yes	—
306	C₄×D₃	C₂×D₂₀	1	2	yes	—
307	Dic₆	—	10	2	no	—
308	Dic₆	—	20	2	no	—
309	C₃×C₈	C₂×D₂₀	1	1	yes	characteristic
310	C₃×C₈	C₂³×D₅	1	1	yes	characteristic
311	C₃⋊C₈	C₂×D₂₀	1	2	yes	—
312	C₂²×C₅	—	3	2	no	—
313	C₂²×C₅	—	12	1	no	—
314	C₂²×C₅	D₃×D₈	1	1	yes	characteristic
315	C₂×D₅	—	4	2	no	—
316	C₂×D₅	—	12	2	no	—
317	C₂×D₅	—	24	4	no	—
318	C₄×C₅	—	3	2	no	—
319	C₄×C₅	D₃×D₈	1	1	yes	characteristic
320	C₄×C₅	C₂×D₃×D₄	1	1	yes	characteristic
321	Dic₅	—	4	2	no	—
322	Dic₅	—	12	2	no	—
323	#41	—	10	2	no	—
324	#41	—	30	2	no	—
325	#41	—	30	2	no	—
326	#41	—	30	2	no	—
327	#41	—	60	2	no	—
328	#41	—	60	2	no	—
329	C₂×Q₈	—	30	2	no	—
330	C₂×D₄	—	30	2	no	—
331	C₂×D₄	—	60	2	no	—
332	C₂²×C₄	—	3	1	no	—
333	C₂²×C₄	—	60	2	no	—
334	Q₁₆	—	5	2	no	—
335	Q₁₆	—	15	2	no	—
336	Q₁₆	—	30	2	no	—
337	SD₁₆	—	10	2	no	—
338	SD₁₆	—	30	2	no	—
339	SD₁₆	—	30	2	no	—
340	SD₁₆	—	30	2	no	—
341	D₈	—	5	2	no	—
342	D₈	—	15	2	no	—
343	D₈	—	30	2	no	—
344	C₂×C₈	—	3	1	no	—
345	C₂×C₈	—	3	2	no	—
346	C₂×C₈	—	3	2	no	—
347	C₂×C₈	C₂×D₃×D₅	1	1	yes	characteristic
348	C₁₆	—	3	2	no	—
349	C₁₆	C₂×D₃×D₅	1	1	yes	characteristic
350	C₁₆	C₂×D₃×D₅	1	1	yes	characteristic
351	C₃×C₅	#3414	1	1	yes	characteristic, complemented, Hall
352	C₂²×C₃	—	20	2	no	—
353	C₂²×C₃	C₂×D₄₀	1	1	yes	characteristic
354	C₂×D₃	—	4	1	no	—
355	C₂×D₃	—	20	2	no	—
356	C₂×D₃	—	40	4	no	—
357	C₂×D₃	C₂×D₄₀	1	2	yes	—
358	C₃×C₄	—	20	2	no	—
359	C₃×C₄	C₂×D₄₀	1	1	yes	characteristic
360	C₃×C₄	C₂²×D₂₀	1	1	yes	characteristic
361	Dic₃	—	20	2	no	—
362	Dic₃	C₂×D₄₀	1	2	yes	—
363	C₂×C₅	—	2	1	no	—
364	C₂×C₅	—	6	2	no	—
365	C₂×C₅	C₂×D₃×D₈	1	1	yes	characteristic
366	D₅	—	8	2	no	—
367	D₅	—	24	2	no	—
368	C₂³	—	3	1	no	—
369	C₂³	—	60	2	no	—
370	Q₈	—	10	2	no	—
371	Q₈	—	30	2	no	—
372	Q₈	—	60	2	no	—
373	D₄	—	10	2	no	—
374	D₄	—	20	2	no	—
375	D₄	—	30	2	no	—
376	D₄	—	60	2	no	—
377	D₄	—	60	2	no	—
378	D₄	—	60	2	no	—
379	D₄	—	60	2	no	—
380	C₂×C₄	—	3	1	no	—
381	C₂×C₄	—	3	2	no	—
382	C₂×C₄	—	3	2	no	—
383	C₂×C₄	—	20	2	no	—
384	C₂×C₄	—	60	2	no	—
385	C₂×C₄	—	60	2	no	—
386	C₂×C₄	—	60	2	no	—
387	C₂×C₄	—	60	2	no	—
388	C₂×C₄	D₃×D₂₀	1	1	yes	characteristic
389	C₈	—	3	2	no	—
390	C₈	D₃×D₂₀	1	1	yes	characteristic
391	C₈	C₂²×D₃×D₅	1	1	yes	characteristic
392	C₂×C₃	—	2	1	no	—
393	C₂×C₃	—	40	2	no	—
394	C₂×C₃	C₂²×D₄₀	1	1	yes	characteristic
395	D₃	—	2	2	no	—
396	D₃	—	40	2	no	—
397	C₅	#82030	1	1	yes	characteristic, complemented, Sylow
398	C₂²	—	3	2	no	—
399	C₂²	—	12	1	no	—
400	C₂²	—	20	2	no	—
401	C₂²	—	60	2	no	—
402	C₂²	—	120	4	no	—
403	C₂²	D₃×D₄₀	1	1	yes	characteristic
404	C₄	—	3	2	no	—
405	C₄	—	20	2	no	—
406	C₄	—	60	2	no	—
407	C₄	D₃×D₄₀	1	1	yes	characteristic
408	C₄	C₂×D₃×D₂₀	1	1	yes	characteristic
409	C₃	#10613740	1	1	yes	characteristic, complemented, Sylow
410	C₂	—	2	1	no	—
411	C₂	—	6	2	no	—
412	C₂	—	40	2	no	—
413	C₂	—	120	2	no	—
414	C₂	C₂×D₃×D₄₀	1	1	yes	characteristic

	subgroup	G/H
center	C₄	D₃×D₄₀
commutator, cosocle	C₃×C₅×C₈	C₂⁴
Frattini	C₈	C₂²×D₃×D₅
Fitting	C₂×C₃×C₅×C₁₆	C₂²
socle	C₂×C₃×C₅	C₂²×D₈
hypercenter	C₂×C₁₆	D₃×D₅
hypocenter	C₃×C₅	#3414
LCS	G ▷ C₃×C₅×C₈ ▷ C₃×C₄×C₅ ▷ C₂×C₃×C₅ ▷ C₃×C₅
UCS	C₁ ◁ C₄ ◁ C₂×C₄ ◁ C₂×C₈ ◁ C₂×C₁₆

Complements

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

N	H ≅ G/N	type
1. D₃×#4050	C₂	semidirect
2. #11751005	C₂	semidirect
3. C₂×C₅×#798	C₂	semidirect
4. C₃×#65193	C₂	semidirect
5. #11747542	C₂	semidirect
6. #11746837	C₂	semidirect
7. #11746830	C₂	semidirect
8. #11746821	C₂	semidirect
9. #11746820	C₂	semidirect
12. #91793	C₂²	semidirect
14. C₃×#4050	C₂²	semidirect
19. D₃×Dic₂₀	C₂²	semidirect
20. D₃×D₄₀	C₂²	semidirect
22. C₂×C₃×C₅×C₁₆	C₂²	semidirect
23. Dic₁₂₀	C₂²	semidirect
24. #91084	C₂²	semidirect
25. D₂₄₀	C₂²	semidirect
26. C₂×C₅×C₃⋊C₁₆	C₂²	semidirect
27. C₅×#798	C₂²	semidirect
28. C₅×#798	C₂²	semidirect
29. C₃×Dic₄₀	C₂²	semidirect
30. C₃×#3932	C₂²	semidirect
31. C₃×D₈₀	C₂²	semidirect
32. #90947	C₂²	semidirect
33. #90943	C₂²	semidirect
34. #90942	C₂²	semidirect
35. #90938	C₂²	semidirect
45. #65193	D₃	semidirect
82. C₂×#798	D₅	semidirect
91. #4050	C₂×D₃	semidirect
97. C₂×C₅×C₁₆	C₂×D₃	semidirect
100. Dic₄₀	C₂×D₃	semidirect
104. #3932	C₂×D₃	semidirect
107. D₈₀	C₂×D₃	semidirect
147. C₂×C₃×C₁₆	C₂×D₅	semidirect
152. C₂×C₃⋊C₁₆	C₂×D₅	semidirect
156. #798	C₂×D₅	semidirect
157. #798	C₂×D₅	semidirect
282. C₂×C₁₆	D₃×D₅	semidirect
351. C₃×C₅	#3414	semidirect
397. C₅	#82030	semidirect
409. C₃	#10613740	semidirect

Maximal subgroups

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

subgroup	index
D₃×#4050	2
#11751005	2
C₂×C₅×#798	2
C₃×#65193	2
#11747542	2
#11746837	2
#11746830	2
#11746821	2
#11746820	2
#10613740	3
#82030	5