Subgroups — C₃×#10610394 #14411807

Order 1920.

1548 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×D₅×#41	C₂	1	1	yes	maximal, characteristic
2	C₂×C₃×#4053	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₃×#4047	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×C₅×#408	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#65523	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#65415	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×C₃×#3952	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#65016	C₂	1	2	yes	maximal, complemented
9	C₃×#65016	C₂	1	2	yes	maximal, complemented
10	C₃×#65015	C₂	1	2	yes	maximal, complemented
11	C₃×D₅×C₂²⋊C₈	C₂	1	2	yes	maximal, complemented
12	#10610394	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
13	C₂×C₃×C₅×#41	C₂²	1	1	yes	characteristic
14	C₃×D₅×#41	—	2	4	no	—
15	C₃×D₅×#41	—	2	4	no	—
16	C₂×C₃×#713	C₄	1	1	yes	characteristic
17	C₂×C₃×Q₈×D₅	C₄	1	1	yes	characteristic
18	C₂×C₃×#711	C₄	1	2	yes	—
19	C₂×C₃×#711	C₄	1	1	yes	characteristic
20	C₂×C₃×D₄×D₅	C₄	1	2	yes	—
21	C₂×C₃×D₄×D₅	C₄	1	1	yes	characteristic
22	C₂×C₃×#709	C₂²	1	2	yes	—
23	C₂×C₃×#709	C₂²	1	1	yes	characteristic
24	C₂²×C₃×C₄×D₅	C₂²	1	1	yes	characteristic
25	C₂²×C₃×C₄×D₅	C₂²	1	2	yes	—
26	C₂×C₃×C₅×M₁₆	C₂²	1	1	yes	characteristic, complemented
27	C₂²×C₃×C₅×C₈	C₂²	1	1	yes	characteristic, complemented
28	C₂×C₃×#681	C₂²	1	1	yes	characteristic, complemented
29	C₂²×C₃×#168	C₂²	1	1	yes	characteristic, complemented
30	C₃×#4053	—	2	4	no	—
31	C₃×#4047	—	2	4	no	—
32	C₂×C₃×#676	C₂²	1	2	yes	complemented
33	C₂×C₃×#676	C₂²	1	2	yes	complemented
34	C₂×C₃×C₈×D₅	C₂²	1	2	yes	complemented
35	C₂×C₃×C₈×D₅	C₂²	1	2	yes	complemented
36	C₃×C₅×C₂²⋊C₈	C₂²	1	2	yes	complemented
37	C₃×C₅×C₂²⋊C₈	C₂²	1	2	yes	complemented
38	C₃×C₂²⋊#168	C₂²	1	2	yes	complemented
39	C₃×C₂²⋊#168	C₂²	1	2	yes	complemented
40	C₃×#3952	C₂²	1	1	yes	characteristic
41	C₃×#3952	C₂²	1	1	yes	characteristic
42	C₃×#3952	C₂²	1	2	yes	—
43	C₃×#3952	C₂²	1	1	yes	characteristic, complemented
44	C₃×#3952	C₂²	1	1	yes	characteristic, complemented
45	C₃×#3952	C₂²	1	2	yes	complemented
46	C₃×#2880	—	5	1	no	maximal, Hall
47	C₂×D₅×#41	C₂×C₃	1	1	yes	characteristic
48	C₂×#4053	C₂×C₃	1	1	yes	characteristic, complemented
49	C₂×#4047	C₂×C₃	1	1	yes	characteristic, complemented
50	C₅×#408	C₂×C₃	1	1	yes	characteristic, complemented
51	#65523	C₂×C₃	1	1	yes	characteristic, complemented
52	#65415	C₂×C₃	1	1	yes	characteristic, complemented
53	C₂×#3952	C₂×C₃	1	1	yes	characteristic, complemented
54	#65016	C₂×C₃	1	2	yes	complemented
55	#65016	C₂×C₃	1	2	yes	complemented
56	#65015	C₂×C₃	1	2	yes	complemented
57	D₅×C₂²⋊C₈	C₂×C₃	1	2	yes	complemented
58	C₂³×C₃×D₅	C₂×C₄	1	1	yes	characteristic
59	C₂³×C₃×D₅	C₂×C₄	1	2	yes	—
60	C₃×C₅×#41	—	2	2	no	—
61	C₃×C₅×#41	—	2	2	no	—
62	C₂×C₃×C₅×Q₈	C₂×C₄	1	1	yes	characteristic
63	C₂×C₃×C₅×D₄	C₂×C₄	1	2	yes	—
64	C₂×C₃×C₅×D₄	C₂×C₄	1	1	yes	characteristic
65	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
66	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
67	C₂×C₃×C₂²⋊D₅	C₂×C₄	1	2	yes	—
68	C₂×C₃×C₂²⋊D₅	C₂×C₄	1	2	yes	—
69	C₂×C₃×C₂²⋊D₅	C₂×C₄	1	2	yes	—
70	C₂²×C₃×Dic₅	C₂×C₄	1	1	yes	characteristic
71	C₂²×C₃×Dic₅	C₂×C₄	1	2	yes	—
72	C₃×#713	—	2	4	no	—
73	C₃×Q₈×D₅	—	2	4	no	—
74	C₃×#711	—	2	8	no	—
75	C₃×#711	—	2	4	no	—
76	C₃×D₄×D₅	—	2	8	no	—
77	C₃×D₄×D₅	—	2	4	no	—
78	C₃×#709	—	2	4	no	—
79	C₃×#709	—	2	4	no	—
80	C₃×#709	D₄	1	4	yes	—
81	C₃×#709	D₄	1	4	yes	—
82	C₂×C₃×D₂₀	C₂×C₄	1	2	yes	—
83	C₂×C₃×D₂₀	C₂×C₄	1	1	yes	characteristic
84	C₂×C₃×C₄×D₅	—	2	2	no	—
85	C₂×C₃×C₄×D₅	—	2	2	no	—
86	C₂×C₃×C₄×D₅	—	2	4	no	—
87	C₂×C₃×C₄×D₅	—	2	4	no	—
88	C₂×C₃×C₄×D₅	C₂×C₄	1	1	yes	characteristic
89	C₂×C₃×C₄×D₅	C₂×C₄	1	2	yes	—
90	C₂×C₃×C₄×D₅	C₂×C₄	1	2	yes	—
91	C₂×C₃×C₄×D₅	C₂×C₄	1	1	yes	characteristic
92	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
93	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
94	C₂×C₃×C₄×D₅	C₂³	1	2	yes	—
95	C₂×C₃×Dic₁₀	C₂×C₄	1	2	yes	—
96	C₂×C₃×Dic₁₀	C₂×C₄	1	1	yes	characteristic
97	C₃×C₅×M₁₆	—	2	2	no	—
98	C₂×C₃×C₅×C₈	—	2	2	no	—
99	C₂×C₃×C₅×C₈	C₂³	1	1	yes	characteristic
100	C₂×C₃×C₅×C₈	C₂³	1	1	yes	characteristic
101	C₂×C₃×C₅×C₈	C₂³	1	2	yes	—
102	C₃×#681	—	2	2	no	—
103	C₂×C₃×#168	—	2	2	no	—
104	C₂×C₃×#168	C₂³	1	1	yes	characteristic
105	C₂×C₃×#168	C₂³	1	2	yes	—
106	C₂×C₃×#168	C₂³	1	1	yes	characteristic
107	C₃×#676	—	2	4	no	—
108	C₃×#676	—	2	4	no	—
109	C₃×C₈×D₅	—	2	4	no	—
110	C₃×C₈×D₅	—	2	4	no	—
111	C₂²×C₃×#41	—	5	1	no	—
112	C₂×C₃×#131	—	5	1	no	—
113	C₂×C₃×#131	—	5	1	no	—
114	C₃×#408	—	5	1	no	—
115	C₃×#408	—	5	2	no	—
116	C₃×#408	—	5	2	no	—
117	C₃×#408	D₅	1	1	yes	characteristic, complemented
118	C₃×#407	—	5	1	no	—
119	C₃×#407	—	5	2	no	—
120	C₂×C₃×C₂²⋊C₈	—	5	1	no	—
121	C₂×C₃×C₂²⋊C₈	—	5	2	no	—
122	C₂×C₅×#41	C₂²×C₃	1	1	yes	characteristic
123	D₅×#41	—	2	4	no	—
124	D₅×#41	—	2	4	no	—
125	C₂×#713	C₃×C₄	1	1	yes	characteristic
126	C₂×Q₈×D₅	C₃×C₄	1	1	yes	characteristic
127	C₂×#711	C₃×C₄	1	2	yes	—
128	C₂×#711	C₃×C₄	1	1	yes	characteristic
129	C₂×D₄×D₅	C₃×C₄	1	2	yes	—
130	C₂×D₄×D₅	C₃×C₄	1	1	yes	characteristic
131	C₂×#709	C₂²×C₃	1	2	yes	—
132	C₂×#709	C₂²×C₃	1	1	yes	characteristic
133	C₂²×C₄×D₅	C₂²×C₃	1	1	yes	characteristic
134	C₂²×C₄×D₅	C₂²×C₃	1	2	yes	—
135	C₂×C₅×M₁₆	C₂²×C₃	1	1	yes	characteristic, complemented
136	C₂²×C₅×C₈	C₂²×C₃	1	1	yes	characteristic, complemented
137	C₂×#681	C₂²×C₃	1	1	yes	characteristic, complemented
138	C₂²×#168	C₂²×C₃	1	1	yes	characteristic, complemented
139	#4053	—	2	4	no	—
140	#4047	—	2	4	no	—
141	C₂×#676	C₂²×C₃	1	2	yes	complemented
142	C₂×#676	C₂²×C₃	1	2	yes	complemented
143	C₂×C₈×D₅	C₂²×C₃	1	2	yes	complemented
144	C₂×C₈×D₅	C₂²×C₃	1	2	yes	complemented
145	C₅×C₂²⋊C₈	C₂²×C₃	1	2	yes	complemented
146	C₅×C₂²⋊C₈	C₂²×C₃	1	2	yes	complemented
147	C₂²⋊#168	C₂²×C₃	1	2	yes	complemented
148	C₂²⋊#168	C₂²×C₃	1	2	yes	complemented
149	#3952	C₂²×C₃	1	1	yes	characteristic
150	#3952	C₂²×C₃	1	1	yes	characteristic
151	#3952	C₂²×C₃	1	2	yes	—
152	#3952	C₂²×C₃	1	1	yes	characteristic, complemented
153	#3952	C₂²×C₃	1	1	yes	characteristic, complemented
154	#3952	C₂²×C₃	1	2	yes	complemented
155	#2880	—	5	1	no	Sylow
156	C₂³×C₃×C₅	C₂²×C₄	1	2	yes	—
157	C₂³×C₃×C₅	C₂²×C₄	1	1	yes	characteristic
158	C₂²×C₃×D₅	—	2	2	no	—
159	C₂²×C₃×D₅	—	2	4	no	—
160	C₂²×C₃×D₅	—	2	4	no	—
161	C₂²×C₃×D₅	—	2	2	no	—
162	C₂²×C₃×D₅	—	4	2	no	—
163	C₂²×C₃×D₅	—	4	1	no	—
164	C₂²×C₃×D₅	C₂²×C₄	1	1	yes	characteristic
165	C₂²×C₃×D₅	C₂²×C₄	1	2	yes	—
166	C₂²×C₃×D₅	C₂²×C₄	1	1	yes	characteristic
167	C₃×C₅×Q₈	—	2	2	no	—
168	C₃×C₅×D₄	—	2	4	no	—
169	C₃×C₅×D₄	—	2	2	no	—
170	C₂×C₃×C₄×C₅	—	2	2	no	—
171	C₂×C₃×C₄×C₅	—	2	2	no	—
172	C₂×C₃×C₄×C₅	C₂²×C₄	1	2	yes	—
173	C₂×C₃×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
174	C₂×C₃×C₄×C₅	C₂×D₄	1	2	yes	—
175	C₂×C₃×C₄×C₅	C₂×D₄	1	2	yes	—
176	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
177	C₃×C₂²⋊D₅	—	2	4	no	—
178	C₃×C₂²⋊D₅	—	2	4	no	—
179	C₃×C₂²⋊D₅	C₂²⋊C₄	1	8	yes	—
180	C₂×C₃×Dic₅	—	2	2	no	—
181	C₂×C₃×Dic₅	—	2	4	no	—
182	C₂×C₃×Dic₅	C₂²×C₄	1	1	yes	characteristic
183	C₂×C₃×Dic₅	C₂²×C₄	1	1	yes	characteristic
184	C₂×C₃×Dic₅	C₂²×C₄	1	2	yes	—
185	C₃×D₂₀	—	2	4	no	—
186	C₃×D₂₀	C₂²⋊C₄	1	4	yes	—
187	C₃×C₄×D₅	—	2	4	no	—
188	C₃×C₄×D₅	—	2	2	no	—
189	C₃×C₄×D₅	—	2	2	no	—
190	C₃×C₄×D₅	—	2	1	no	—
191	C₃×C₄×D₅	—	2	1	no	—
192	C₃×C₄×D₅	—	2	1	no	—
193	C₃×C₄×D₅	—	2	1	no	—
194	C₃×C₄×D₅	—	2	4	no	—
195	C₃×C₄×D₅	C₂×D₄	1	4	yes	—
196	C₃×C₄×D₅	C₂×D₄	1	4	yes	—
197	C₃×Dic₁₀	—	2	4	no	—
198	C₃×Dic₁₀	C₂²⋊C₄	1	4	yes	—
199	C₃×C₅×C₈	—	2	1	no	—
200	C₃×C₅×C₈	—	2	2	no	—
201	C₃×C₅×C₈	—	2	1	no	—
202	C₃×#168	—	2	1	no	—
203	C₃×#168	—	2	2	no	—
204	C₃×#168	—	2	1	no	—
205	C₂×C₃×#41	—	5	1	no	—
206	C₂×C₃×#41	—	5	2	no	—
207	C₂×C₃×#41	—	5	1	no	—
208	C₂×C₃×#41	—	5	1	no	—
209	C₂×C₃×#41	—	5	2	no	—
210	C₂×C₃×#41	—	10	4	no	—
211	C₂×C₃×#41	—	10	4	no	—
212	C₂×C₃×#41	C₂×D₅	1	1	yes	characteristic
213	C₂²×C₃×Q₈	—	5	1	no	—
214	C₂²×C₃×D₄	—	5	2	no	—
215	C₂²×C₃×D₄	—	5	1	no	—
216	C₂³×C₃×C₄	—	5	2	no	—
217	C₂³×C₃×C₄	—	5	1	no	—
218	C₃×#131	—	10	4	no	—
219	C₃×#131	—	10	4	no	—
220	C₂×C₃×M₁₆	—	5	1	no	—
221	C₂×C₃×M₁₆	—	5	2	no	—
222	C₂×C₃×M₁₆	—	5	2	no	—
223	C₂×C₃×M₁₆	C₂×D₅	1	1	yes	characteristic, complemented
224	C₂²×C₃×C₈	—	5	1	no	—
225	C₂²×C₃×C₈	—	5	2	no	—
226	C₂²×C₃×C₈	—	5	2	no	—
227	C₂²×C₃×C₈	C₂×D₅	1	1	yes	characteristic, complemented
228	C₃×C₂²⋊C₈	—	5	2	no	—
229	C₃×C₂²⋊C₈	—	5	2	no	—
230	C₃×C₂²⋊C₈	—	5	1	no	—
231	C₃×C₂²⋊C₈	—	5	2	no	—
232	C₃×C₂²⋊C₈	—	5	1	no	—
233	C₃×C₂²⋊C₈	—	5	1	no	—
234	C₃×C₂²⋊C₈	—	5	1	no	—
235	C₃×C₂²⋊C₈	—	5	2	no	—
236	C₃×C₂²⋊C₈	C₂×D₅	1	2	yes	complemented
237	C₃×C₂²⋊C₈	C₂×D₅	1	2	yes	complemented
238	C₂³×D₅	C₂×C₃×C₄	1	1	yes	characteristic
239	C₂³×D₅	C₂×C₃×C₄	1	2	yes	—
240	C₅×#41	—	2	2	no	—
241	C₅×#41	—	2	2	no	—
242	C₂×C₅×Q₈	C₂×C₃×C₄	1	1	yes	characteristic
243	C₂×C₅×D₄	C₂×C₃×C₄	1	2	yes	—
244	C₂×C₅×D₄	C₂×C₃×C₄	1	1	yes	characteristic
245	C₂²×C₄×C₅	C₂³×C₃	1	2	yes	—
246	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
247	C₂×C₂²⋊D₅	C₂×C₃×C₄	1	2	yes	—
248	C₂×C₂²⋊D₅	C₂×C₃×C₄	1	2	yes	—
249	C₂×C₂²⋊D₅	C₂×C₃×C₄	1	2	yes	—
250	C₂²×Dic₅	C₂×C₃×C₄	1	1	yes	characteristic
251	C₂²×Dic₅	C₂×C₃×C₄	1	2	yes	—
252	#713	—	2	4	no	—
253	Q₈×D₅	—	2	4	no	—
254	#711	—	2	8	no	—
255	#711	—	2	4	no	—
256	D₄×D₅	—	2	8	no	—
257	D₄×D₅	—	2	4	no	—
258	#709	—	2	4	no	—
259	#709	—	2	4	no	—
260	#709	C₃×D₄	1	4	yes	—
261	#709	C₃×D₄	1	4	yes	—
262	C₂×D₂₀	C₂×C₃×C₄	1	2	yes	—
263	C₂×D₂₀	C₂×C₃×C₄	1	1	yes	characteristic
264	C₂×C₄×D₅	—	2	2	no	—
265	C₂×C₄×D₅	—	2	2	no	—
266	C₂×C₄×D₅	—	2	4	no	—
267	C₂×C₄×D₅	—	2	4	no	—
268	C₂×C₄×D₅	C₂×C₃×C₄	1	1	yes	characteristic
269	C₂×C₄×D₅	C₂×C₃×C₄	1	2	yes	—
270	C₂×C₄×D₅	C₂×C₃×C₄	1	2	yes	—
271	C₂×C₄×D₅	C₂×C₃×C₄	1	1	yes	characteristic
272	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
273	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
274	C₂×C₄×D₅	C₂³×C₃	1	2	yes	—
275	C₂×Dic₁₀	C₂×C₃×C₄	1	2	yes	—
276	C₂×Dic₁₀	C₂×C₃×C₄	1	1	yes	characteristic
277	C₅×M₁₆	—	2	2	no	—
278	C₂×C₅×C₈	—	2	2	no	—
279	C₂×C₅×C₈	C₂³×C₃	1	1	yes	characteristic
280	C₂×C₅×C₈	C₂³×C₃	1	1	yes	characteristic
281	C₂×C₅×C₈	C₂³×C₃	1	2	yes	—
282	#681	—	2	2	no	—
283	C₂×#168	—	2	2	no	—
284	C₂×#168	C₂³×C₃	1	1	yes	characteristic
285	C₂×#168	C₂³×C₃	1	2	yes	—
286	C₂×#168	C₂³×C₃	1	1	yes	characteristic
287	#676	—	2	4	no	—
288	#676	—	2	4	no	—
289	C₈×D₅	—	2	4	no	—
290	C₈×D₅	—	2	4	no	—
291	C₂²×#41	—	5	1	no	—
292	C₂×#131	—	5	1	no	—
293	C₂×#131	—	5	1	no	—
294	#408	—	5	1	no	—
295	#408	—	5	2	no	—
296	#408	—	5	2	no	—
297	#408	C₃×D₅	1	1	yes	characteristic, complemented
298	#407	—	5	1	no	—
299	#407	—	5	2	no	—
300	C₂×C₂²⋊C₈	—	5	1	no	—
301	C₂×C₂²⋊C₈	—	5	2	no	—
302	C₂²×C₃×C₅	—	2	1	no	—
303	C₂²×C₃×C₅	—	2	1	no	—
304	C₂²×C₃×C₅	—	2	2	no	—
305	C₂²×C₃×C₅	—	2	2	no	—
306	C₂²×C₃×C₅	—	2	2	no	—
307	C₂²×C₃×C₅	C₂×C₂²⋊C₄	1	2	yes	—
308	C₂²×C₃×C₅	C₂³×C₄	1	1	yes	characteristic
309	C₂×C₃×D₅	—	2	1	no	—
310	C₂×C₃×D₅	—	2	2	no	—
311	C₂×C₃×D₅	—	2	1	no	—
312	C₂×C₃×D₅	—	2	2	no	—
313	C₂×C₃×D₅	—	2	1	no	—
314	C₂×C₃×D₅	—	2	1	no	—
315	C₂×C₃×D₅	—	2	1	no	—
316	C₂×C₃×D₅	—	4	8	no	—
317	C₂×C₃×D₅	—	4	4	no	—
318	C₂×C₃×D₅	C₂×C₂²⋊C₄	1	4	yes	—
319	C₂×C₃×D₅	#131	1	2	yes	complemented
320	C₃×C₄×C₅	—	2	2	no	—
321	C₃×C₄×C₅	C₂×C₂²⋊C₄	1	2	yes	—
322	C₃×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
323	C₃×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
324	C₃×Dic₅	—	2	1	no	—
325	C₃×Dic₅	—	2	1	no	—
326	C₃×Dic₅	C₂×C₂²⋊C₄	1	4	yes	—
327	C₂⁴×C₃	—	5	2	no	—
328	C₂⁴×C₃	—	5	1	no	—
329	C₃×#41	—	2	2	no	—
330	C₃×#41	—	2	2	no	—
331	C₃×#41	—	5	4	no	—
332	C₃×#41	—	5	4	no	—
333	C₃×#41	—	10	4	no	—
334	C₃×#41	—	10	4	no	—
335	C₃×#41	—	10	8	no	—
336	C₃×#41	—	10	4	no	—
337	C₃×#41	—	10	4	no	—
338	C₂×C₃×Q₈	—	5	1	no	—
339	C₂×C₃×Q₈	—	5	2	no	—
340	C₂×C₃×Q₈	—	10	4	no	—
341	C₂×C₃×Q₈	C₄×D₅	1	1	yes	characteristic
342	C₂×C₃×D₄	—	5	2	no	—
343	C₂×C₃×D₄	—	5	2	no	—
344	C₂×C₃×D₄	—	5	2	no	—
345	C₂×C₃×D₄	—	5	1	no	—
346	C₂×C₃×D₄	—	5	2	no	—
347	C₂×C₃×D₄	—	10	8	no	—
348	C₂×C₃×D₄	—	10	4	no	—
349	C₂×C₃×D₄	C₄×D₅	1	2	yes	—
350	C₂×C₃×D₄	C₄×D₅	1	1	yes	characteristic
351	C₂²×C₃×C₄	—	5	2	no	—
352	C₂²×C₃×C₄	—	5	2	no	—
353	C₂²×C₃×C₄	—	5	1	no	—
354	C₂²×C₃×C₄	—	5	2	no	—
355	C₂²×C₃×C₄	—	5	1	no	—
356	C₂²×C₃×C₄	—	5	2	no	—
357	C₂²×C₃×C₄	—	5	1	no	—
358	C₂²×C₃×C₄	—	5	1	no	—
359	C₂²×C₃×C₄	—	5	1	no	—
360	C₂²×C₃×C₄	—	10	4	no	—
361	C₂²×C₃×C₄	—	10	4	no	—
362	C₂²×C₃×C₄	—	10	2	no	—
363	C₂²×C₃×C₄	—	10	2	no	—
364	C₂²×C₃×C₄	C₂²×D₅	1	2	yes	—
365	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
366	C₃×M₁₆	—	2	2	no	—
367	C₃×M₁₆	—	10	4	no	—
368	C₃×M₁₆	—	10	4	no	—
369	C₃×M₁₆	—	10	2	no	—
370	C₂×C₃×C₈	—	2	2	no	—
371	C₂×C₃×C₈	—	5	1	no	—
372	C₂×C₃×C₈	—	5	2	no	—
373	C₂×C₃×C₈	—	5	1	no	—
374	C₂×C₃×C₈	—	10	4	no	—
375	C₂×C₃×C₈	—	10	4	no	—
376	C₂×C₃×C₈	—	10	2	no	—
377	C₂×C₃×C₈	C₂²×D₅	1	1	yes	characteristic
378	C₂×C₃×C₈	C₂²×D₅	1	2	yes	—
379	C₂×C₃×C₈	C₂²×D₅	1	1	yes	characteristic
380	C₂³×C₅	C₂²×C₃×C₄	1	2	yes	—
381	C₂³×C₅	C₂²×C₃×C₄	1	1	yes	characteristic
382	C₂²×D₅	—	2	2	no	—
383	C₂²×D₅	—	2	4	no	—
384	C₂²×D₅	—	2	4	no	—
385	C₂²×D₅	—	2	2	no	—
386	C₂²×D₅	—	4	2	no	—
387	C₂²×D₅	—	4	1	no	—
388	C₂²×D₅	C₂²×C₃×C₄	1	1	yes	characteristic
389	C₂²×D₅	C₂²×C₃×C₄	1	2	yes	—
390	C₂²×D₅	C₂²×C₃×C₄	1	1	yes	characteristic
391	C₅×Q₈	—	2	2	no	—
392	C₅×D₄	—	2	4	no	—
393	C₅×D₄	—	2	2	no	—
394	C₂×C₄×C₅	—	2	2	no	—
395	C₂×C₄×C₅	—	2	2	no	—
396	C₂×C₄×C₅	C₂²×C₃×C₄	1	2	yes	—
397	C₂×C₄×C₅	C₂²×C₃×C₄	1	1	yes	characteristic
398	C₂×C₄×C₅	C₂×C₃×D₄	1	2	yes	—
399	C₂×C₄×C₅	C₂×C₃×D₄	1	2	yes	—
400	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
401	C₂²⋊D₅	—	2	4	no	—
402	C₂²⋊D₅	—	2	4	no	—
403	C₂²⋊D₅	C₃×C₂²⋊C₄	1	8	yes	—
404	C₂×Dic₅	—	2	2	no	—
405	C₂×Dic₅	—	2	4	no	—
406	C₂×Dic₅	C₂²×C₃×C₄	1	1	yes	characteristic
407	C₂×Dic₅	C₂²×C₃×C₄	1	1	yes	characteristic
408	C₂×Dic₅	C₂²×C₃×C₄	1	2	yes	—
409	D₂₀	—	2	4	no	—
410	D₂₀	C₃×C₂²⋊C₄	1	4	yes	—
411	C₄×D₅	—	2	4	no	—
412	C₄×D₅	—	2	2	no	—
413	C₄×D₅	—	2	2	no	—
414	C₄×D₅	—	2	1	no	—
415	C₄×D₅	—	2	1	no	—
416	C₄×D₅	—	2	1	no	—
417	C₄×D₅	—	2	1	no	—
418	C₄×D₅	—	2	4	no	—
419	C₄×D₅	C₂×C₃×D₄	1	4	yes	—
420	C₄×D₅	C₂×C₃×D₄	1	4	yes	—
421	Dic₁₀	—	2	4	no	—
422	Dic₁₀	C₃×C₂²⋊C₄	1	4	yes	—
423	C₅×C₈	—	2	1	no	—
424	C₅×C₈	—	2	2	no	—
425	C₅×C₈	—	2	1	no	—
426	#168	—	2	1	no	—
427	#168	—	2	2	no	—
428	#168	—	2	1	no	—
429	C₂×#41	—	5	1	no	—
430	C₂×#41	—	5	2	no	—
431	C₂×#41	—	5	1	no	—
432	C₂×#41	—	5	1	no	—
433	C₂×#41	—	5	2	no	—
434	C₂×#41	—	10	4	no	—
435	C₂×#41	—	10	4	no	—
436	C₂×#41	C₂×C₃×D₅	1	1	yes	characteristic
437	C₂²×Q₈	—	5	1	no	—
438	C₂²×D₄	—	5	2	no	—
439	C₂²×D₄	—	5	1	no	—
440	C₂³×C₄	—	5	2	no	—
441	C₂³×C₄	—	5	1	no	—
442	#131	—	10	4	no	—
443	#131	—	10	4	no	—
444	C₂×M₁₆	—	5	1	no	—
445	C₂×M₁₆	—	5	2	no	—
446	C₂×M₁₆	—	5	2	no	—
447	C₂×M₁₆	C₂×C₃×D₅	1	1	yes	characteristic, complemented
448	C₂²×C₈	—	5	1	no	—
449	C₂²×C₈	—	5	2	no	—
450	C₂²×C₈	—	5	2	no	—
451	C₂²×C₈	C₂×C₃×D₅	1	1	yes	characteristic, complemented
452	C₂²⋊C₈	—	5	2	no	—
453	C₂²⋊C₈	—	5	2	no	—
454	C₂²⋊C₈	—	5	1	no	—
455	C₂²⋊C₈	—	5	2	no	—
456	C₂²⋊C₈	—	5	1	no	—
457	C₂²⋊C₈	—	5	1	no	—
458	C₂²⋊C₈	—	5	1	no	—
459	C₂²⋊C₈	—	5	2	no	—
460	C₂²⋊C₈	C₂×C₃×D₅	1	2	yes	complemented
461	C₂²⋊C₈	C₂×C₃×D₅	1	2	yes	complemented
462	C₂×C₃×C₅	—	2	2	no	—
463	C₂×C₃×C₅	—	4	2	no	—
464	C₂×C₃×C₅	C₂²×C₂²⋊C₄	1	1	yes	characteristic
465	C₂×C₃×C₅	C₂×#131	1	1	yes	characteristic
466	C₂×C₃×C₅	#568	1	1	yes	characteristic
467	C₃×D₅	—	2	2	no	—
468	C₃×D₅	—	2	4	no	—
469	C₃×D₅	—	4	1	no	—
470	C₂³×C₃	—	5	1	no	—
471	C₂³×C₃	—	5	2	no	—
472	C₂³×C₃	—	5	1	no	—
473	C₂³×C₃	—	10	4	no	—
474	C₂³×C₃	—	10	2	no	—
475	C₂³×C₃	—	10	4	no	—
476	C₂³×C₃	—	10	2	no	—
477	C₂³×C₃	—	20	1	no	—
478	C₂³×C₃	—	20	2	no	—
479	C₂³×C₃	C₂×C₄×D₅	1	2	yes	—
480	C₂³×C₃	C₂×C₄×D₅	1	1	yes	characteristic
481	C₃×Q₈	—	2	2	no	—
482	C₃×Q₈	—	5	4	no	—
483	C₃×Q₈	—	10	4	no	—
484	C₃×D₄	—	2	4	no	—
485	C₃×D₄	—	2	2	no	—
486	C₃×D₄	—	5	8	no	—
487	C₃×D₄	—	5	4	no	—
488	C₃×D₄	—	10	4	no	—
489	C₃×D₄	—	10	4	no	—
490	C₃×D₄	—	10	4	no	—
491	C₂×C₃×C₄	—	2	2	no	—
492	C₂×C₃×C₄	—	2	2	no	—
493	C₂×C₃×C₄	—	5	2	no	—
494	C₂×C₃×C₄	—	5	4	no	—
495	C₂×C₃×C₄	—	5	4	no	—
496	C₂×C₃×C₄	—	5	1	no	—
497	C₂×C₃×C₄	—	5	1	no	—
498	C₂×C₃×C₄	—	10	4	no	—
499	C₂×C₃×C₄	—	10	4	no	—
500	C₂×C₃×C₄	—	10	4	no	—
501	C₂×C₃×C₄	—	10	2	no	—
502	C₂×C₃×C₄	—	10	1	no	—
503	C₂×C₃×C₄	—	10	1	no	—
504	C₂×C₃×C₄	—	10	1	no	—
505	C₂×C₃×C₄	—	10	1	no	—
506	C₂×C₃×C₄	—	10	2	no	—
507	C₂×C₃×C₄	—	10	2	no	—
508	C₂×C₃×C₄	C₂×C₄×D₅	1	2	yes	—
509	C₂×C₃×C₄	C₂×C₄×D₅	1	1	yes	characteristic
510	C₂×C₃×C₄	D₄×D₅	1	2	yes	—
511	C₂×C₃×C₄	D₄×D₅	1	2	yes	—
512	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
513	C₃×C₈	—	2	1	no	—
514	C₃×C₈	—	2	1	no	—
515	C₃×C₈	—	2	2	no	—
516	C₃×C₈	—	10	1	no	—
517	C₃×C₈	—	10	2	no	—
518	C₃×C₈	—	10	1	no	—
519	C₂²×C₅	—	2	1	no	—
520	C₂²×C₅	—	2	1	no	—
521	C₂²×C₅	—	2	2	no	—
522	C₂²×C₅	—	2	2	no	—
523	C₂²×C₅	—	2	2	no	—
524	C₂²×C₅	C₂×C₃×C₂²⋊C₄	1	2	yes	—
525	C₂²×C₅	C₂³×C₃×C₄	1	1	yes	characteristic
526	C₂×D₅	—	2	2	no	—
527	C₂×D₅	—	2	1	no	—
528	C₂×D₅	—	2	2	no	—
529	C₂×D₅	—	2	1	no	—
530	C₂×D₅	—	2	1	no	—
531	C₂×D₅	—	2	1	no	—
532	C₂×D₅	—	2	1	no	—
533	C₂×D₅	—	4	8	no	—
534	C₂×D₅	—	4	4	no	—
535	C₂×D₅	C₂×C₃×C₂²⋊C₄	1	4	yes	—
536	C₂×D₅	C₃×#131	1	2	yes	complemented
537	C₄×C₅	—	2	2	no	—
538	C₄×C₅	C₂×C₃×C₂²⋊C₄	1	2	yes	—
539	C₄×C₅	C₂²×C₃×D₄	1	1	yes	characteristic
540	C₄×C₅	C₂²×C₃×D₄	1	1	yes	characteristic
541	Dic₅	—	2	1	no	—
542	Dic₅	—	2	1	no	—
543	Dic₅	C₂×C₃×C₂²⋊C₄	1	4	yes	—
544	C₂⁴	—	5	2	no	—
545	C₂⁴	—	5	1	no	—
546	#41	—	2	2	no	—
547	#41	—	2	2	no	—
548	#41	—	5	4	no	—
549	#41	—	5	4	no	—
550	#41	—	10	4	no	—
551	#41	—	10	4	no	—
552	#41	—	10	8	no	—
553	#41	—	10	4	no	—
554	#41	—	10	4	no	—
555	C₂×Q₈	—	5	1	no	—
556	C₂×Q₈	—	5	2	no	—
557	C₂×Q₈	—	10	4	no	—
558	C₂×Q₈	C₃×C₄×D₅	1	1	yes	characteristic
559	C₂×D₄	—	5	2	no	—
560	C₂×D₄	—	5	2	no	—
561	C₂×D₄	—	5	2	no	—
562	C₂×D₄	—	5	1	no	—
563	C₂×D₄	—	5	2	no	—
564	C₂×D₄	—	10	8	no	—
565	C₂×D₄	—	10	4	no	—
566	C₂×D₄	C₃×C₄×D₅	1	2	yes	—
567	C₂×D₄	C₃×C₄×D₅	1	1	yes	characteristic
568	C₂²×C₄	—	5	2	no	—
569	C₂²×C₄	—	5	2	no	—
570	C₂²×C₄	—	5	1	no	—
571	C₂²×C₄	—	5	2	no	—
572	C₂²×C₄	—	5	1	no	—
573	C₂²×C₄	—	5	2	no	—
574	C₂²×C₄	—	5	1	no	—
575	C₂²×C₄	—	5	1	no	—
576	C₂²×C₄	—	5	1	no	—
577	C₂²×C₄	—	10	4	no	—
578	C₂²×C₄	—	10	4	no	—
579	C₂²×C₄	—	10	2	no	—
580	C₂²×C₄	—	10	2	no	—
581	C₂²×C₄	C₂²×C₃×D₅	1	2	yes	—
582	C₂²×C₄	C₂²×C₃×D₅	1	1	yes	characteristic
583	M₁₆	—	2	2	no	—
584	M₁₆	—	10	4	no	—
585	M₁₆	—	10	4	no	—
586	M₁₆	—	10	2	no	—
587	C₂×C₈	—	2	2	no	—
588	C₂×C₈	—	5	1	no	—
589	C₂×C₈	—	5	2	no	—
590	C₂×C₈	—	5	1	no	—
591	C₂×C₈	—	10	4	no	—
592	C₂×C₈	—	10	4	no	—
593	C₂×C₈	—	10	2	no	—
594	C₂×C₈	C₂²×C₃×D₅	1	1	yes	characteristic
595	C₂×C₈	C₂²×C₃×D₅	1	2	yes	—
596	C₂×C₈	C₂²×C₃×D₅	1	1	yes	characteristic
597	C₃×C₅	#2880	1	1	yes	characteristic, complemented, Hall
598	C₂²×C₃	—	2	1	no	—
599	C₂²×C₃	—	2	1	no	—
600	C₂²×C₃	—	2	2	no	—
601	C₂²×C₃	—	2	2	no	—
602	C₂²×C₃	—	2	2	no	—
603	C₂²×C₃	—	5	4	no	—
604	C₂²×C₃	—	5	2	no	—
605	C₂²×C₃	—	10	1	no	—
606	C₂²×C₃	—	10	2	no	—
607	C₂²×C₃	—	10	2	no	—
608	C₂²×C₃	—	10	1	no	—
609	C₂²×C₃	—	10	1	no	—
610	C₂²×C₃	—	10	1	no	—
611	C₂²×C₃	—	10	1	no	—
612	C₂²×C₃	—	20	4	no	—
613	C₂²×C₃	—	20	8	no	—
614	C₂²×C₃	D₅×C₂²⋊C₄	1	2	yes	—
615	C₂²×C₃	C₂²×C₄×D₅	1	1	yes	characteristic
616	C₃×C₄	—	2	2	no	—
617	C₃×C₄	—	5	4	no	—
618	C₃×C₄	—	10	1	no	—
619	C₃×C₄	—	10	1	no	—
620	C₃×C₄	D₅×C₂²⋊C₄	1	2	yes	—
621	C₃×C₄	C₂×D₄×D₅	1	1	yes	characteristic
622	C₃×C₄	C₂×D₄×D₅	1	1	yes	characteristic
623	C₂×C₅	—	2	2	no	—
624	C₂×C₅	—	4	2	no	—
625	C₂×C₅	C₂²×C₃×C₂²⋊C₄	1	1	yes	characteristic
626	C₂×C₅	C₂×C₃×#131	1	1	yes	characteristic
627	C₂×C₅	C₃×#568	1	1	yes	characteristic
628	D₅	—	2	2	no	—
629	D₅	—	2	4	no	—
630	D₅	—	4	1	no	—
631	C₂³	—	5	1	no	—
632	C₂³	—	5	2	no	—
633	C₂³	—	5	1	no	—
634	C₂³	—	10	4	no	—
635	C₂³	—	10	2	no	—
636	C₂³	—	10	4	no	—
637	C₂³	—	10	2	no	—
638	C₂³	—	20	1	no	—
639	C₂³	—	20	2	no	—
640	C₂³	C₂×C₃×C₄×D₅	1	2	yes	—
641	C₂³	C₂×C₃×C₄×D₅	1	1	yes	characteristic
642	Q₈	—	2	2	no	—
643	Q₈	—	5	4	no	—
644	Q₈	—	10	4	no	—
645	D₄	—	2	4	no	—
646	D₄	—	2	2	no	—
647	D₄	—	5	8	no	—
648	D₄	—	5	4	no	—
649	D₄	—	10	4	no	—
650	D₄	—	10	4	no	—
651	D₄	—	10	4	no	—
652	C₂×C₄	—	2	2	no	—
653	C₂×C₄	—	2	2	no	—
654	C₂×C₄	—	5	2	no	—
655	C₂×C₄	—	5	4	no	—
656	C₂×C₄	—	5	4	no	—
657	C₂×C₄	—	5	1	no	—
658	C₂×C₄	—	5	1	no	—
659	C₂×C₄	—	10	4	no	—
660	C₂×C₄	—	10	4	no	—
661	C₂×C₄	—	10	4	no	—
662	C₂×C₄	—	10	2	no	—
663	C₂×C₄	—	10	1	no	—
664	C₂×C₄	—	10	1	no	—
665	C₂×C₄	—	10	1	no	—
666	C₂×C₄	—	10	1	no	—
667	C₂×C₄	—	10	2	no	—
668	C₂×C₄	—	10	2	no	—
669	C₂×C₄	C₂×C₃×C₄×D₅	1	2	yes	—
670	C₂×C₄	C₂×C₃×C₄×D₅	1	1	yes	characteristic
671	C₂×C₄	C₃×D₄×D₅	1	2	yes	—
672	C₂×C₄	C₃×D₄×D₅	1	2	yes	—
673	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
674	C₈	—	2	1	no	—
675	C₈	—	2	1	no	—
676	C₈	—	2	2	no	—
677	C₈	—	10	1	no	—
678	C₈	—	10	2	no	—
679	C₈	—	10	1	no	—
680	C₂×C₃	—	2	2	no	—
681	C₂×C₃	—	4	2	no	—
682	C₂×C₃	—	10	2	no	—
683	C₂×C₃	—	10	4	no	—
684	C₂×C₃	—	20	1	no	—
685	C₂×C₃	C₂×D₅×C₂²⋊C₄	1	1	yes	characteristic
686	C₂×C₃	D₅×#131	1	1	yes	characteristic
687	C₂×C₃	#66084	1	1	yes	characteristic
688	C₅	C₃×#2880	1	1	yes	characteristic, complemented, Sylow
689	C₂²	—	2	1	no	—
690	C₂²	—	2	1	no	—
691	C₂²	—	2	2	no	—
692	C₂²	—	2	2	no	—
693	C₂²	—	2	2	no	—
694	C₂²	—	5	4	no	—
695	C₂²	—	5	2	no	—
696	C₂²	—	10	1	no	—
697	C₂²	—	10	2	no	—
698	C₂²	—	10	1	no	—
699	C₂²	—	10	2	no	—
700	C₂²	—	10	1	no	—
701	C₂²	—	10	1	no	—
702	C₂²	—	10	1	no	—
703	C₂²	—	20	4	no	—
704	C₂²	—	20	8	no	—
705	C₂²	C₃×D₅×C₂²⋊C₄	1	2	yes	—
706	C₂²	C₂²×C₃×C₄×D₅	1	1	yes	characteristic
707	C₄	—	2	2	no	—
708	C₄	—	5	4	no	—
709	C₄	—	10	1	no	—
710	C₄	—	10	1	no	—
711	C₄	C₃×D₅×C₂²⋊C₄	1	2	yes	—
712	C₄	C₂×C₃×D₄×D₅	1	1	yes	characteristic
713	C₄	C₂×C₃×D₄×D₅	1	1	yes	characteristic
714	C₃	#10610394	1	1	yes	characteristic, direct product factor, Sylow
715	C₂	—	2	2	no	—
716	C₂	—	4	2	no	—
717	C₂	—	10	2	no	—
718	C₂	—	10	4	no	—
719	C₂	—	20	1	no	—
720	C₂	C₂×C₃×D₅×C₂²⋊C₄	1	1	yes	characteristic
721	C₂	C₃×D₅×#131	1	1	yes	characteristic
722	C₂	C₃×#66084	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₃×C₄	C₂³×D₅
commutator	C₂²×C₅	C₂³×C₃×C₄
Frattini	C₂×C₄	C₂³×C₃×D₅
Fitting	C₃×C₅×#408	C₂
socle	C₂²×C₃×C₅	C₂³×C₄
prime radical	C₂×C₃×D₅×#41	C₂
cosocle	C₂×C₄×C₅	C₂⁴×C₃
hypercenter	C₃×#408	D₅
hypocenter	C₅	C₃×#2880
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂×C₃×C₄ ◁ C₃×#408

Complements

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

N	H ≅ G/N	type
2. C₂×C₃×#4053	C₂	semidirect
3. C₂×C₃×#4047	C₂	semidirect
4. C₃×C₅×#408	C₂	semidirect
5. C₃×#65523	C₂	semidirect
6. C₃×#65415	C₂	semidirect
7. C₂×C₃×#3952	C₂	semidirect
8. C₃×#65016	C₂	semidirect
9. C₃×#65016	C₂	semidirect
10. C₃×#65015	C₂	semidirect
11. C₃×D₅×C₂²⋊C₈	C₂	semidirect
12. #10610394	C₃	direct (N × H)
26. C₂×C₃×C₅×M₁₆	C₂²	semidirect
27. C₂²×C₃×C₅×C₈	C₂²	semidirect
28. C₂×C₃×#681	C₂²	semidirect
29. C₂²×C₃×#168	C₂²	semidirect
32. C₂×C₃×#676	C₂²	semidirect
33. C₂×C₃×#676	C₂²	semidirect
34. C₂×C₃×C₈×D₅	C₂²	semidirect
35. C₂×C₃×C₈×D₅	C₂²	semidirect
36. C₃×C₅×C₂²⋊C₈	C₂²	semidirect
37. C₃×C₅×C₂²⋊C₈	C₂²	semidirect
38. C₃×C₂²⋊#168	C₂²	semidirect
39. C₃×C₂²⋊#168	C₂²	semidirect
43. C₃×#3952	C₂²	semidirect
44. C₃×#3952	C₂²	semidirect
45. C₃×#3952	C₂²	semidirect
48. C₂×#4053	C₂×C₃	semidirect
49. C₂×#4047	C₂×C₃	semidirect
50. C₅×#408	C₂×C₃	semidirect
51. #65523	C₂×C₃	semidirect
52. #65415	C₂×C₃	semidirect
53. C₂×#3952	C₂×C₃	semidirect
54. #65016	C₂×C₃	semidirect
55. #65016	C₂×C₃	semidirect
56. #65015	C₂×C₃	semidirect
57. D₅×C₂²⋊C₈	C₂×C₃	semidirect
117. C₃×#408	D₅	semidirect
135. C₂×C₅×M₁₆	C₂²×C₃	semidirect
136. C₂²×C₅×C₈	C₂²×C₃	semidirect
137. C₂×#681	C₂²×C₃	semidirect
138. C₂²×#168	C₂²×C₃	semidirect
141. C₂×#676	C₂²×C₃	semidirect
142. C₂×#676	C₂²×C₃	semidirect
143. C₂×C₈×D₅	C₂²×C₃	semidirect
144. C₂×C₈×D₅	C₂²×C₃	semidirect
145. C₅×C₂²⋊C₈	C₂²×C₃	semidirect
146. C₅×C₂²⋊C₈	C₂²×C₃	semidirect
147. C₂²⋊#168	C₂²×C₃	semidirect
148. C₂²⋊#168	C₂²×C₃	semidirect
152. #3952	C₂²×C₃	semidirect
153. #3952	C₂²×C₃	semidirect
154. #3952	C₂²×C₃	semidirect
223. C₂×C₃×M₁₆	C₂×D₅	semidirect
227. C₂²×C₃×C₈	C₂×D₅	semidirect
236. C₃×C₂²⋊C₈	C₂×D₅	semidirect
237. C₃×C₂²⋊C₈	C₂×D₅	semidirect
297. #408	C₃×D₅	semidirect
319. C₂×C₃×D₅	#131	semidirect
447. C₂×M₁₆	C₂×C₃×D₅	semidirect
451. C₂²×C₈	C₂×C₃×D₅	semidirect
460. C₂²⋊C₈	C₂×C₃×D₅	semidirect
461. C₂²⋊C₈	C₂×C₃×D₅	semidirect
536. C₂×D₅	C₃×#131	semidirect
597. C₃×C₅	#2880	semidirect
688. C₅	C₃×#2880	semidirect
714. C₃	#10610394	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₃×D₅×#41	2
C₂×C₃×#4053	2
C₂×C₃×#4047	2
C₃×C₅×#408	2
C₃×#65523	2
C₃×#65415	2
C₂×C₃×#3952	2
C₃×#65016	2
C₃×#65015	2
C₃×D₅×C₂²⋊C₈	2
#10610394	3
C₃×#2880	5

Subgroups — C3×#10610394 #14411807

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#10610394 #14411807