Subgroups — #14282249

Order 1920.

532 conjugacy classes of subgroups.

The subgroup lattice has 412 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄×#6817	C₂	1	1	yes	maximal, characteristic
2	C₄×C₅×#208	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#65213	C₂	1	1	yes	maximal, characteristic, complemented
4	#11745844	C₂	1	2	yes	maximal, complemented
5	#11745838	C₂	1	2	yes	maximal, complemented
6	#10600647	—	3	1	no	maximal, Hall
7	C₂×#6817	C₄	1	1	yes	characteristic
8	C₂×C₃×C₄²×C₅	C₂²	1	1	yes	characteristic
9	C₄×#1220	—	2	1	no	—
10	C₄×#1220	—	2	1	no	—
11	#91815	C₄	1	1	yes	characteristic
12	C₄×D₆₀	C₄	1	1	yes	characteristic
13	C₄×D₆₀	C₂²	1	1	yes	characteristic
14	#91761	—	2	1	no	—
15	C₄²×D₁₅	—	2	1	no	—
16	C₄×Dic₃₀	C₄	1	1	yes	characteristic
17	C₄×Dic₃₀	C₂²	1	1	yes	characteristic
18	C₂×C₅×#208	—	2	1	no	—
19	C₂×C₃×#681	—	2	1	no	—
20	C₅×#803	—	2	1	no	—
21	C₄×C₅×C₃⋊C₈	C₂²	1	2	yes	—
22	C₃×C₄⋊#168	—	2	1	no	—
23	C₃×C₄⋊#168	C₂²	1	2	yes	—
24	#70497	—	5	1	no	maximal, Hall
25	C₄×#709	—	3	1	no	—
26	C₄×C₅×M₁₆	—	3	1	no	—
27	#65213	D₃	1	1	yes	characteristic, complemented
28	#64679	—	3	2	no	—
29	#64676	—	3	2	no	—
30	C₂²×C₃×C₄×C₅	C₂×C₄	1	1	yes	characteristic
31	C₂²×C₃×C₄×C₅	D₄	1	1	yes	characteristic
32	C₂²×C₃×C₄×C₅	D₄	1	1	yes	characteristic
33	C₂×#1220	—	2	1	no	—
34	#6817	—	2	2	no	—
35	#6817	—	2	2	no	—
36	C₂×D₆₀	C₂×C₄	1	1	yes	characteristic
37	C₂×C₄×D₁₅	—	2	1	no	—
38	C₂×C₄×D₁₅	—	2	1	no	—
39	C₂×C₄×D₁₅	—	2	1	no	—
40	C₂×Dic₃₀	C₂×C₄	1	1	yes	characteristic
41	C₃×C₄²×C₅	C₂×C₄	1	1	yes	characteristic
42	C₃×C₄²×C₅	D₄	1	1	yes	characteristic
43	C₃×C₄²×C₅	D₄	1	1	yes	characteristic
44	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
45	#6719	—	2	1	no	—
46	#6714	—	2	1	no	—
47	#6714	—	2	1	no	—
48	C₄⋊Dic₁₅	C₂×C₄	1	1	yes	characteristic
49	C₄⋊Dic₁₅	C₂×C₄	1	1	yes	characteristic
50	#6712	—	2	1	no	—
51	#6712	—	2	1	no	—
52	C₄×Dic₁₅	—	2	1	no	—
53	C₄×Dic₁₅	—	2	1	no	—
54	C₄×Dic₁₅	—	2	1	no	—
55	C₅×#208	—	2	4	no	—
56	C₂×C₅×C₃⋊C₈	—	2	2	no	—
57	C₃×#681	—	4	2	no	—
58	C₂×C₃×#168	—	2	2	no	—
59	C₄×#235	—	5	1	no	—
60	C₃×#423	—	5	1	no	—
61	C₄×#208	D₅	1	1	yes	characteristic, complemented
62	#4484	—	5	2	no	—
63	#4483	—	5	2	no	—
64	C₂×#709	—	3	1	no	—
65	C₂×C₅×M₁₆	—	6	1	no	—
66	C₂×C₄²×C₅	C₂×D₃	1	1	yes	characteristic
67	C₄×C₂²⋊D₅	—	6	1	no	—
68	C₄×C₂²⋊D₅	—	6	1	no	—
69	#4072	—	3	1	no	—
70	C₂×#681	—	2	1	no	—
71	C₄×D₂₀	—	3	1	no	—
72	C₄×D₂₀	—	3	1	no	—
73	#4018	—	6	1	no	—
74	C₄²×D₅	—	6	1	no	—
75	C₄×Dic₁₀	—	3	1	no	—
76	C₄×Dic₁₀	—	3	1	no	—
77	C₅×#97	—	6	1	no	—
78	C₄×C₅×C₈	—	3	2	no	—
79	C₄⋊#168	—	2	1	no	—
80	C₄⋊#168	C₂×D₃	1	2	yes	—
81	#1489	—	15	1	no	Sylow
82	C₂³×C₃×C₅	C₂²⋊C₄	1	1	yes	characteristic
83	C₂²×D₁₅	—	2	1	no	—
84	C₂×C₃×C₄×C₅	—	2	2	no	—
85	C₂×C₃×C₄×C₅	—	2	1	no	—
86	C₂×C₃×C₄×C₅	—	2	1	no	—
87	C₂×C₃×C₄×C₅	—	2	1	no	—
88	C₂×C₃×C₄×C₅	—	2	1	no	—
89	C₂×C₃×C₄×C₅	C₂²⋊C₄	1	1	yes	characteristic
90	C₂×C₃×C₄×C₅	C₂²⋊C₄	1	1	yes	characteristic
91	C₂×C₃×C₄×C₅	C₂²⋊C₄	1	1	yes	characteristic
92	C₂×C₃×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
93	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
94	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
95	#1220	—	2	4	no	—
96	C₂×Dic₁₅	—	2	1	no	—
97	C₂×Dic₁₅	—	2	1	no	—
98	C₂×Dic₁₅	—	2	1	no	—
99	D₆₀	—	2	1	no	—
100	D₆₀	M₁₆	1	2	yes	complemented
101	C₄×D₁₅	—	2	4	no	—
102	C₄×D₁₅	—	4	2	no	—
103	C₄×D₁₅	—	4	1	no	—
104	C₄×D₁₅	—	4	1	no	—
105	Dic₃₀	—	2	1	no	—
106	Dic₃₀	M₁₆	1	2	yes	complemented
107	C₃×#168	—	4	2	no	—
108	C₅×C₃⋊C₈	—	2	4	no	—
109	C₂×#235	—	5	1	no	—
110	C₂×C₃×M₁₆	—	10	1	no	—
111	C₂×C₃×C₄²	C₂×D₅	1	1	yes	characteristic
112	C₄×#67	—	10	1	no	—
113	C₄×#67	—	10	1	no	—
114	#926	—	5	1	no	—
115	C₂×#208	—	2	1	no	—
116	C₄×D₁₂	—	5	1	no	—
117	C₄×D₁₂	—	5	1	no	—
118	#872	—	10	1	no	—
119	C₄²×D₃	—	10	1	no	—
120	C₄×Dic₆	—	5	1	no	—
121	C₄×Dic₆	—	5	1	no	—
122	C₃×C₄⋊C₈	—	5	2	no	—
123	C₃×C₄⋊C₈	—	10	1	no	—
124	#803	—	2	1	no	—
125	C₄×C₃⋊C₈	C₂×D₅	1	2	yes	—
126	C₂²×C₄×C₅	C₄×D₃	1	1	yes	characteristic
127	C₂²×C₄×C₅	D₁₂	1	1	yes	characteristic
128	C₂²×C₄×C₅	#67	1	1	yes	characteristic
129	C₂×C₂²⋊D₅	—	6	1	no	—
130	#709	—	6	2	no	—
131	#709	—	6	2	no	—
132	C₂×D₂₀	—	3	1	no	—
133	C₂×C₄×D₅	—	6	1	no	—
134	C₂×C₄×D₅	—	6	1	no	—
135	C₂×C₄×D₅	—	6	1	no	—
136	C₂×Dic₁₀	—	3	1	no	—
137	C₅×M₁₆	—	6	4	no	—
138	C₂×C₅×C₈	—	6	2	no	—
139	C₄²×C₅	C₄×D₃	1	1	yes	characteristic
140	C₄²×C₅	D₁₂	1	1	yes	characteristic
141	C₄²×C₅	#67	1	1	yes	characteristic
142	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
143	C₂²⋊Dic₅	—	6	1	no	—
144	#685	—	6	1	no	—
145	#685	—	6	1	no	—
146	C₄⋊Dic₅	—	3	1	no	—
147	C₄⋊Dic₅	—	3	1	no	—
148	#683	—	6	1	no	—
149	#683	—	6	1	no	—
150	C₄×Dic₅	—	6	1	no	—
151	C₄×Dic₅	—	6	1	no	—
152	C₄×Dic₅	—	6	1	no	—
153	#681	—	4	2	no	—
154	C₂×#168	—	2	2	no	—
155	C₄×#41	—	15	1	no	—
156	#423	—	5	1	no	—
157	C₄×M₁₆	—	3	1	no	—
158	Q₈⋊C₈	—	15	2	no	—
159	D₄⋊C₈	—	15	2	no	—
160	C₂²×C₃×C₅	—	2	1	no	—
161	C₂²×C₃×C₅	—	2	1	no	—
162	C₂²×C₃×C₅	—	2	1	no	—
163	C₂²×C₃×C₅	C₂×C₂²⋊C₄	1	1	yes	characteristic
164	C₂×D₁₅	—	2	2	no	—
165	C₂×D₁₅	—	4	1	no	—
166	C₂×D₁₅	—	4	1	no	—
167	C₃×C₄×C₅	—	2	1	no	—
168	C₃×C₄×C₅	—	2	1	no	—
169	C₃×C₄×C₅	—	2	1	no	—
170	C₃×C₄×C₅	#104	1	2	yes	—
171	C₃×C₄×C₅	C₂×M₁₆	1	1	yes	characteristic
172	C₃×C₄×C₅	C₂×M₁₆	1	1	yes	characteristic
173	C₃×C₄×C₅	AGL(1,ℤ/8)	1	1	yes	characteristic
174	C₃×C₄×C₅	#137	1	1	yes	characteristic
175	Dic₁₅	—	2	2	no	—
176	Dic₁₅	—	4	1	no	—
177	Dic₁₅	—	4	1	no	—
178	C₂²×C₃×C₄	C₄×D₅	1	1	yes	characteristic
179	C₂²×C₃×C₄	D₂₀	1	1	yes	characteristic
180	C₂²×C₃×C₄	C₂²⋊D₅	1	1	yes	characteristic
181	C₂×#67	—	10	1	no	—
182	#235	—	10	2	no	—
183	#235	—	10	2	no	—
184	C₂×D₁₂	—	5	1	no	—
185	C₂×C₄×D₃	—	10	1	no	—
186	C₂×C₄×D₃	—	10	1	no	—
187	C₂×C₄×D₃	—	10	1	no	—
188	C₂×Dic₆	—	5	1	no	—
189	C₃×M₁₆	—	20	2	no	—
190	C₂×C₃×C₈	—	10	2	no	—
191	C₃×C₄²	C₄×D₅	1	1	yes	characteristic
192	C₃×C₄²	D₂₀	1	1	yes	characteristic
193	C₃×C₄²	C₂²⋊D₅	1	1	yes	characteristic
194	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic
195	#217	—	10	1	no	—
196	(C₂×D₃)⋊C₄	—	10	1	no	—
197	(C₂×D₃)⋊C₄	—	10	1	no	—
198	C₄⋊Dic₃	—	5	1	no	—
199	C₄⋊Dic₃	—	5	1	no	—
200	Dic₃⋊C₄	—	10	1	no	—
201	Dic₃⋊C₄	—	10	1	no	—
202	C₄×Dic₃	—	10	1	no	—
203	C₄×Dic₃	—	10	1	no	—
204	C₄×Dic₃	—	10	1	no	—
205	#208	—	2	4	no	—
206	C₂×C₃⋊C₈	—	2	2	no	—
207	C₂³×C₅	(C₂×D₃)⋊C₄	1	1	yes	characteristic
208	C₂²×D₅	—	6	1	no	—
209	C₂×C₄×C₅	—	2	2	no	—
210	C₂×C₄×C₅	—	2	1	no	—
211	C₂×C₄×C₅	—	2	1	no	—
212	C₂×C₄×C₅	—	2	1	no	—
213	C₂×C₄×C₅	—	2	1	no	—
214	C₂×C₄×C₅	(C₂×D₃)⋊C₄	1	1	yes	characteristic
215	C₂×C₄×C₅	(C₂×D₃)⋊C₄	1	1	yes	characteristic
216	C₂×C₄×C₅	(C₂×D₃)⋊C₄	1	1	yes	characteristic
217	C₂×C₄×C₅	C₂×C₄×D₃	1	1	yes	characteristic
218	C₂×C₄×C₅	C₂×D₁₂	1	1	yes	characteristic
219	C₂×C₄×C₅	C₂×#67	1	1	yes	characteristic
220	C₂²⋊D₅	—	6	4	no	—
221	C₂×Dic₅	—	6	1	no	—
222	C₂×Dic₅	—	6	1	no	—
223	C₂×Dic₅	—	6	1	no	—
224	D₂₀	—	3	2	no	—
225	D₂₀	—	6	1	no	—
226	C₄×D₅	—	6	4	no	—
227	C₄×D₅	—	12	2	no	—
228	C₄×D₅	—	12	1	no	—
229	C₄×D₅	—	12	1	no	—
230	Dic₁₀	—	3	2	no	—
231	Dic₁₀	—	6	1	no	—
232	C₅×C₈	—	6	4	no	—
233	#168	—	4	2	no	—
234	C₂×#41	—	15	1	no	—
235	C₂×M₁₆	—	6	1	no	—
236	C₂×M₁₆	—	10	1	no	—
237	C₄×Q₈	—	15	1	no	—
238	C₄×Q₈	—	15	1	no	—
239	C₄×D₄	—	15	1	no	—
240	C₄×D₄	—	15	1	no	—
241	C₄×D₄	—	30	1	no	—
242	C₄×D₄	—	30	1	no	—
243	#117	—	15	1	no	—
244	#117	—	30	1	no	—
245	C₂×C₄²	—	30	1	no	—
246	C₂×C₄²	D₃×D₅	1	1	yes	characteristic
247	C₄⋊C₈	—	5	2	no	—
248	C₄⋊C₈	—	10	1	no	—
249	#97	—	6	1	no	—
250	C₄×C₈	—	3	2	no	—
251	C₂×C₃×C₅	—	4	1	no	—
252	C₂×C₃×C₅	#407	1	1	yes	characteristic
253	C₂×C₃×C₅	#417	1	1	yes	characteristic
254	C₂×C₃×C₅	C₂×#104	1	1	yes	characteristic
255	D₁₅	—	4	2	no	—
256	C₂³×C₃	#685	1	1	yes	characteristic
257	C₂²×D₃	—	10	1	no	—
258	C₂×C₃×C₄	—	2	2	no	—
259	C₂×C₃×C₄	—	2	1	no	—
260	C₂×C₃×C₄	—	2	1	no	—
261	C₂×C₃×C₄	—	2	1	no	—
262	C₂×C₃×C₄	—	2	1	no	—
263	C₂×C₃×C₄	#685	1	1	yes	characteristic
264	C₂×C₃×C₄	#685	1	1	yes	characteristic
265	C₂×C₃×C₄	#685	1	1	yes	characteristic
266	C₂×C₃×C₄	C₂×C₄×D₅	1	1	yes	characteristic
267	C₂×C₃×C₄	C₂×D₂₀	1	1	yes	characteristic
268	C₂×C₃×C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
269	#67	—	10	4	no	—
270	C₂×Dic₃	—	10	1	no	—
271	C₂×Dic₃	—	10	1	no	—
272	C₂×Dic₃	—	10	1	no	—
273	D₁₂	—	5	2	no	—
274	D₁₂	—	10	1	no	—
275	C₄×D₃	—	10	4	no	—
276	C₄×D₃	—	20	2	no	—
277	C₄×D₃	—	20	1	no	—
278	C₄×D₃	—	20	1	no	—
279	Dic₆	—	5	2	no	—
280	Dic₆	—	10	1	no	—
281	C₃×C₈	—	20	2	no	—
282	C₃⋊C₈	—	2	4	no	—
283	C₂²×C₅	—	2	1	no	—
284	C₂²×C₅	—	2	1	no	—
285	C₂²×C₅	—	2	1	no	—
286	C₂²×C₅	C₂×(C₂×D₃)⋊C₄	1	1	yes	characteristic
287	C₂×D₅	—	6	2	no	—
288	C₂×D₅	—	12	1	no	—
289	C₂×D₅	—	12	1	no	—
290	C₄×C₅	—	2	1	no	—
291	C₄×C₅	—	2	1	no	—
292	C₄×C₅	—	2	1	no	—
293	C₄×C₅	#825	1	2	yes	—
294	C₄×C₅	D₃×M₁₆	1	1	yes	characteristic
295	C₄×C₅	D₃×M₁₆	1	1	yes	characteristic
296	C₄×C₅	#932	1	1	yes	characteristic
297	C₄×C₅	#942	1	1	yes	characteristic
298	Dic₅	—	6	2	no	—
299	Dic₅	—	12	1	no	—
300	Dic₅	—	12	1	no	—
301	#41	—	30	2	no	—
302	#41	—	30	2	no	—
303	C₂×Q₈	—	15	1	no	—
304	C₂×D₄	—	15	1	no	—
305	C₂×D₄	—	30	1	no	—
306	C₂²×C₄	—	30	1	no	—
307	C₂²×C₄	—	30	1	no	—
308	C₂²×C₄	—	30	1	no	—
309	C₂²×C₄	#1200	1	1	yes	characteristic
310	C₂²×C₄	#1202	1	1	yes	characteristic
311	C₂²×C₄	#1203	1	1	yes	characteristic
312	M₁₆	—	6	4	no	—
313	M₁₆	—	20	2	no	—
314	C₂×C₈	—	6	2	no	—
315	C₂×C₈	—	10	2	no	—
316	C₄⋊C₄	—	15	1	no	—
317	C₄⋊C₄	—	15	1	no	—
318	C₄⋊C₄	—	30	1	no	—
319	C₄⋊C₄	—	30	1	no	—
320	C₂²⋊C₄	—	30	1	no	—
321	C₂²⋊C₄	—	30	1	no	—
322	C₂²⋊C₄	—	30	1	no	—
323	C₄²	—	30	1	no	—
324	C₄²	—	30	1	no	—
325	C₄²	—	30	1	no	—
326	C₄²	#1200	1	1	yes	characteristic
327	C₄²	#1202	1	1	yes	characteristic
328	C₄²	#1203	1	1	yes	characteristic
329	C₄²	C₂×D₃×D₅	1	1	yes	characteristic
330	C₃×C₅	#1489	1	1	yes	characteristic, complemented, Hall
331	C₂²×C₃	—	2	1	no	—
332	C₂²×C₃	—	2	1	no	—
333	C₂²×C₃	—	2	1	no	—
334	C₂²×C₃	C₂×#685	1	1	yes	characteristic
335	C₂×D₃	—	10	2	no	—
336	C₂×D₃	—	20	1	no	—
337	C₂×D₃	—	20	1	no	—
338	C₃×C₄	—	2	1	no	—
339	C₃×C₄	—	2	1	no	—
340	C₃×C₄	—	2	1	no	—
341	C₃×C₄	#3937	1	2	yes	—
342	C₃×C₄	D₅×M₁₆	1	1	yes	characteristic
343	C₃×C₄	D₅×M₁₆	1	1	yes	characteristic
344	C₃×C₄	#4054	1	1	yes	characteristic
345	C₃×C₄	#4055	1	1	yes	characteristic
346	Dic₃	—	10	2	no	—
347	Dic₃	—	20	1	no	—
348	Dic₃	—	20	1	no	—
349	C₂×C₅	—	4	1	no	—
350	C₂×C₅	#4966	1	1	yes	characteristic
351	C₂×C₅	#5126	1	1	yes	characteristic
352	C₂×C₅	C₂×#825	1	1	yes	characteristic
353	D₅	—	12	2	no	—
354	C₂³	—	30	1	no	—
355	C₂³	#6667	1	1	yes	characteristic
356	Q₈	—	15	2	no	—
357	Q₈	—	30	1	no	—
358	D₄	—	15	2	no	—
359	D₄	—	30	4	no	—
360	D₄	—	30	1	no	—
361	C₂×C₄	—	2	2	no	—
362	C₂×C₄	—	2	1	no	—
363	C₂×C₄	—	2	1	no	—
364	C₂×C₄	—	2	1	no	—
365	C₂×C₄	—	2	1	no	—
366	C₂×C₄	—	30	4	no	—
367	C₂×C₄	—	30	1	no	—
368	C₂×C₄	—	30	1	no	—
369	C₂×C₄	—	30	1	no	—
370	C₂×C₄	—	60	2	no	—
371	C₂×C₄	—	60	1	no	—
372	C₂×C₄	—	60	1	no	—
373	C₂×C₄	#6667	1	1	yes	characteristic
374	C₂×C₄	#6667	1	1	yes	characteristic
375	C₂×C₄	#6667	1	1	yes	characteristic
376	C₂×C₄	C₂×#1200	1	1	yes	characteristic
377	C₂×C₄	C₂×#1202	1	1	yes	characteristic
378	C₂×C₄	C₂×#1203	1	1	yes	characteristic
379	C₈	—	6	4	no	—
380	C₈	—	20	2	no	—
381	C₂×C₃	—	4	1	no	—
382	C₂×C₃	C₂×#3937	1	1	yes	characteristic
383	C₂×C₃	#65415	1	1	yes	characteristic
384	C₂×C₃	#65422	1	1	yes	characteristic
385	D₃	—	20	2	no	—
386	C₅	#70497	1	1	yes	characteristic, complemented, Sylow
387	C₂²	—	2	1	no	—
388	C₂²	—	2	1	no	—
389	C₂²	—	2	1	no	—
390	C₂²	—	30	2	no	—
391	C₂²	—	60	1	no	—
392	C₂²	—	60	1	no	—
393	C₂²	C₂×#6667	1	1	yes	characteristic
394	C₄	—	2	1	no	—
395	C₄	—	2	1	no	—
396	C₄	—	2	1	no	—
397	C₄	—	30	2	no	—
398	C₄	—	60	1	no	—
399	C₄	—	60	1	no	—
400	C₄	#90980	1	2	yes	—
401	C₄	#91292	1	1	yes	characteristic
402	C₄	#91292	1	1	yes	characteristic
403	C₄	#91312	1	1	yes	characteristic
404	C₄	#91315	1	1	yes	characteristic
405	C₃	#10600647	1	1	yes	characteristic, complemented, Sylow
406	C₂	—	4	1	no	—
407	C₂	—	60	2	no	—
408	C₂	#11748351	1	1	yes	characteristic
409	C₂	#11748413	1	1	yes	characteristic
410	C₂	C₂×#90980	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×#1202
commutator	C₂×C₃×C₄×C₅	C₂²×C₄
Frattini	C₄²	C₂×D₃×D₅
Fitting	C₂×C₃×C₄²×C₅	C₂²
socle	C₂²×C₃×C₅	C₂×C₂²⋊C₄
prime radical	C₂×#6817	C₄
cosocle	C₃×C₄²×C₅	C₂³
hypercenter	C₂×C₄²	D₃×D₅
hypocenter	C₃×C₅	#1489
LCS	G ▷ C₂×C₃×C₄×C₅ ▷ C₂×C₃×C₅ ▷ C₃×C₅
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄²

Complements

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

N	H ≅ G/N	type
2. C₄×C₅×#208	C₂	semidirect
3. C₃×#65213	C₂	semidirect
4. #11745844	C₂	semidirect
5. #11745838	C₂	semidirect
27. #65213	D₃	semidirect
61. C₄×#208	D₅	semidirect
100. D₆₀	M₁₆	semidirect
106. Dic₃₀	M₁₆	semidirect
330. C₃×C₅	#1489	semidirect
386. C₅	#70497	semidirect
405. C₃	#10600647	semidirect

Maximal subgroups

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

subgroup	index
C₄×#6817	2
C₄×C₅×#208	2
C₃×#65213	2
#11745844	2
#11745838	2
#10600647	3
#70497	5