Subgroups — C₃×#10611184 #14418964

Order 1920.

824 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×C₄×#711	C₂	1	1	yes	maximal, characteristic
2	C₃×C₅×#435	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#65417	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×M₁₆×Dic₅	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#65400	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×C₃×C₈×Dic₅	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#65300	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#65122	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#65117	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#65019	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#65018	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#65007	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#65007	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#64996	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#64990	C₂	1	1	yes	maximal, characteristic, complemented
16	#10611184	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
17	C₂×C₃×#711	C₄	1	1	yes	characteristic
18	C₂×C₃×C₅×M₁₆	C₂²	1	1	yes	characteristic
19	C₂²×C₃×C₅×C₈	C₂²	1	1	yes	characteristic
20	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
21	C₃×D₄×Dic₅	C₄	1	1	yes	characteristic
22	C₃×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
23	C₃×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
24	C₂×C₃×C₄×Dic₅	C₂²	1	1	yes	characteristic
25	C₂×C₃×C₄×Dic₅	C₂²	1	1	yes	characteristic
26	C₂×C₃×#681	C₂²	1	1	yes	characteristic
27	C₂²×C₃×#168	C₂²	1	1	yes	characteristic
28	C₂×C₃×#676	C₂²	1	1	yes	characteristic
29	C₂×C₃×#676	C₂²	1	1	yes	characteristic
30	C₃×#4038	C₄	1	1	yes	characteristic
31	C₃×#4033	C₄	1	1	yes	characteristic
32	C₃×#4027	C₄	1	1	yes	characteristic
33	C₃×#4027	C₄	1	1	yes	characteristic
34	C₃×#4023	C₄	1	1	yes	characteristic
35	C₃×#4023	C₄	1	1	yes	characteristic
36	C₃×C₄²×D₅	C₂²	1	1	yes	characteristic
37	C₃×C₄×Dic₁₀	C₂²	1	1	yes	characteristic
38	C₃×C₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
39	C₃×C₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic
40	C₃×C₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic
41	C₃×C₅×#97	C₂²	1	1	yes	characteristic
42	C₃×C₂²⋊#168	C₂²	1	1	yes	characteristic
43	C₃×C₂²⋊#168	C₂²	1	1	yes	characteristic
44	C₃×#3952	C₂²	1	1	yes	characteristic
45	C₃×#3952	C₂²	1	1	yes	characteristic
46	C₃×#3947	C₂²	1	1	yes	characteristic
47	C₃×#3947	C₂²	1	1	yes	characteristic
48	C₃×#3946	C₂²	1	1	yes	characteristic
49	C₃×#3946	C₂²	1	1	yes	characteristic
50	C₃×#3946	C₂²	1	1	yes	characteristic
51	C₃×#3946	C₂²	1	1	yes	characteristic
52	C₃×C₈×Dic₅	C₂²	1	1	yes	characteristic
53	C₃×C₈×Dic₅	C₂²	1	1	yes	characteristic
54	C₃×C₈×Dic₅	C₂²	1	1	yes	characteristic
55	C₃×C₈×Dic₅	C₂²	1	1	yes	characteristic
56	C₃×C₈×Dic₅	C₂²	1	1	yes	characteristic
57	C₃×C₈×Dic₅	C₂²	1	1	yes	characteristic
58	C₃×C₄⋊#168	C₂²	1	1	yes	characteristic
59	C₃×#3935	C₂²	1	1	yes	characteristic
60	C₃×#2965	—	5	1	no	maximal, Hall
61	C₄×#711	C₂×C₃	1	1	yes	characteristic
62	C₅×#435	C₂×C₃	1	1	yes	characteristic, complemented
63	#65417	C₂×C₃	1	1	yes	characteristic, complemented
64	M₁₆×Dic₅	C₂×C₃	1	1	yes	characteristic, complemented
65	#65400	C₂×C₃	1	1	yes	characteristic, complemented
66	C₂×C₈×Dic₅	C₂×C₃	1	1	yes	characteristic, complemented
67	#65300	C₂×C₃	1	1	yes	characteristic, complemented
68	#65122	C₂×C₃	1	1	yes	characteristic, complemented
69	#65117	C₂×C₃	1	1	yes	characteristic, complemented
70	#65019	C₂×C₃	1	1	yes	characteristic, complemented
71	#65018	C₂×C₃	1	1	yes	characteristic, complemented
72	#65007	C₂×C₃	1	1	yes	characteristic, complemented
73	#65007	C₂×C₃	1	1	yes	characteristic, complemented
74	#64996	C₂×C₃	1	1	yes	characteristic, complemented
75	#64990	C₂×C₃	1	1	yes	characteristic, complemented
76	C₂×C₃×C₅×D₄	C₂×C₄	1	1	yes	characteristic
77	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
78	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
79	C₂×C₃×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
80	C₂×C₃×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
81	C₂²×C₃×Dic₅	C₂×C₄	1	1	yes	characteristic
82	C₂²×C₃×Dic₅	C₂×C₄	1	1	yes	characteristic
83	C₂²×C₃×Dic₅	C₂×C₄	1	1	yes	characteristic
84	C₂²×C₃×Dic₅	C₂×C₄	1	1	yes	characteristic
85	C₃×#711	—	2	4	no	—
86	C₂×C₃×C₄×D₅	C₂×C₄	1	1	yes	characteristic
87	C₂×C₃×C₄×D₅	C₂×C₄	1	1	yes	characteristic
88	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
89	C₂×C₃×Dic₁₀	C₂×C₄	1	1	yes	characteristic
90	C₃×C₅×M₁₆	—	2	2	no	—
91	C₂×C₃×C₅×C₈	—	2	2	no	—
92	C₂×C₃×C₅×C₈	C₂³	1	1	yes	characteristic
93	C₂×C₃×C₅×C₈	C₂³	1	1	yes	characteristic
94	C₂×C₃×C₅×C₈	C₂³	1	1	yes	characteristic
95	C₂×C₃×C₅×C₈	C₂³	1	1	yes	characteristic
96	C₃×C₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
97	C₃×C₅×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
98	C₃×C₅×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
99	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
100	C₃×C₂²⋊Dic₅	C₂×C₄	1	1	yes	characteristic
101	C₃×C₂²⋊Dic₅	C₂×C₄	1	1	yes	characteristic
102	C₃×#685	C₂×C₄	1	1	yes	characteristic
103	C₃×#685	C₂×C₄	1	1	yes	characteristic
104	C₃×C₄⋊Dic₅	C₂×C₄	1	1	yes	characteristic
105	C₃×#683	C₂×C₄	1	1	yes	characteristic
106	C₃×#683	C₂×C₄	1	1	yes	characteristic
107	C₃×#683	C₂×C₄	1	1	yes	characteristic
108	C₃×#683	C₂×C₄	1	1	yes	characteristic
109	C₃×C₄×Dic₅	C₂×C₄	1	1	yes	characteristic
110	C₃×C₄×Dic₅	C₂×C₄	1	1	yes	characteristic
111	C₃×C₄×Dic₅	C₂×C₄	1	1	yes	characteristic
112	C₃×C₄×Dic₅	C₂×C₄	1	1	yes	characteristic
113	C₃×C₄×Dic₅	C₂×C₄	1	1	yes	characteristic
114	C₃×C₄×Dic₅	C₂×C₄	1	1	yes	characteristic
115	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
116	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
117	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
118	C₃×#681	—	2	2	no	—
119	C₂×C₃×#168	—	2	2	no	—
120	C₂×C₃×#168	C₂³	1	1	yes	characteristic
121	C₂×C₃×#168	C₂³	1	1	yes	characteristic
122	C₂×C₃×#168	C₂³	1	1	yes	characteristic
123	C₂×C₃×#168	C₂³	1	1	yes	characteristic
124	C₃×#676	—	2	2	no	—
125	C₃×#676	—	2	2	no	—
126	C₃×C₄×#41	—	5	1	no	—
127	C₃×#446	—	5	1	no	—
128	C₃×#446	—	5	1	no	—
129	C₃×#436	—	5	1	no	—
130	C₃×#436	—	5	1	no	—
131	C₃×#435	—	5	1	no	—
132	C₃×#435	—	5	1	no	—
133	C₃×#435	—	5	1	no	—
134	C₃×#435	D₅	1	1	yes	characteristic, complemented
135	C₃×#431	—	5	1	no	—
136	C₃×#431	—	5	1	no	—
137	C₃×#431	—	5	1	no	—
138	C₃×C₄×M₁₆	—	5	1	no	—
139	C₃×C₄×M₁₆	—	5	1	no	—
140	C₂×C₃×C₄×C₈	—	5	1	no	—
141	C₂×#711	C₃×C₄	1	1	yes	characteristic
142	C₂×C₅×M₁₆	C₂²×C₃	1	1	yes	characteristic
143	C₂²×C₅×C₈	C₂²×C₃	1	1	yes	characteristic
144	C₄×C₅×D₄	C₂²×C₃	1	1	yes	characteristic
145	D₄×Dic₅	C₃×C₄	1	1	yes	characteristic
146	C₄×C₂²⋊D₅	C₂²×C₃	1	1	yes	characteristic
147	C₄×C₂²⋊D₅	C₂²×C₃	1	1	yes	characteristic
148	C₂×C₄×Dic₅	C₂²×C₃	1	1	yes	characteristic
149	C₂×C₄×Dic₅	C₂²×C₃	1	1	yes	characteristic
150	C₂×#681	C₂²×C₃	1	1	yes	characteristic
151	C₂²×#168	C₂²×C₃	1	1	yes	characteristic
152	C₂×#676	C₂²×C₃	1	1	yes	characteristic
153	C₂×#676	C₂²×C₃	1	1	yes	characteristic
154	#4038	C₃×C₄	1	1	yes	characteristic
155	#4033	C₃×C₄	1	1	yes	characteristic
156	#4027	C₃×C₄	1	1	yes	characteristic
157	#4027	C₃×C₄	1	1	yes	characteristic
158	#4023	C₃×C₄	1	1	yes	characteristic
159	#4023	C₃×C₄	1	1	yes	characteristic
160	C₄²×D₅	C₂²×C₃	1	1	yes	characteristic
161	C₄×Dic₁₀	C₂²×C₃	1	1	yes	characteristic
162	C₅×C₄⋊C₈	C₂²×C₃	1	1	yes	characteristic
163	C₅×C₂²⋊C₈	C₂²×C₃	1	1	yes	characteristic
164	C₅×C₂²⋊C₈	C₂²×C₃	1	1	yes	characteristic
165	C₅×#97	C₂²×C₃	1	1	yes	characteristic
166	C₂²⋊#168	C₂²×C₃	1	1	yes	characteristic
167	C₂²⋊#168	C₂²×C₃	1	1	yes	characteristic
168	#3952	C₂²×C₃	1	1	yes	characteristic
169	#3952	C₂²×C₃	1	1	yes	characteristic
170	#3947	C₂²×C₃	1	1	yes	characteristic
171	#3947	C₂²×C₃	1	1	yes	characteristic
172	#3946	C₂²×C₃	1	1	yes	characteristic
173	#3946	C₂²×C₃	1	1	yes	characteristic
174	#3946	C₂²×C₃	1	1	yes	characteristic
175	#3946	C₂²×C₃	1	1	yes	characteristic
176	C₈×Dic₅	C₂²×C₃	1	1	yes	characteristic
177	C₈×Dic₅	C₂²×C₃	1	1	yes	characteristic
178	C₈×Dic₅	C₂²×C₃	1	1	yes	characteristic
179	C₈×Dic₅	C₂²×C₃	1	1	yes	characteristic
180	C₈×Dic₅	C₂²×C₃	1	1	yes	characteristic
181	C₈×Dic₅	C₂²×C₃	1	1	yes	characteristic
182	C₄⋊#168	C₂²×C₃	1	1	yes	characteristic
183	#3935	C₂²×C₃	1	1	yes	characteristic
184	#2965	—	5	1	no	Sylow
185	C₂³×C₃×C₅	C₂²×C₄	1	1	yes	characteristic
186	C₂³×C₃×C₅	C₂²×C₄	1	1	yes	characteristic
187	C₂²×C₃×D₅	C₂²×C₄	1	1	yes	characteristic
188	C₃×C₅×D₄	—	2	2	no	—
189	C₂×C₃×C₄×C₅	—	2	1	no	—
190	C₂×C₃×C₄×C₅	—	2	1	no	—
191	C₂×C₃×C₄×C₅	—	2	1	no	—
192	C₂×C₃×C₄×C₅	—	2	1	no	—
193	C₂×C₃×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
194	C₂×C₃×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
195	C₂×C₃×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
196	C₂×C₃×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
197	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
198	C₃×C₂²⋊D₅	—	2	2	no	—
199	C₃×C₂²⋊D₅	—	2	2	no	—
200	C₂×C₃×Dic₅	—	2	2	no	—
201	C₂×C₃×Dic₅	—	2	2	no	—
202	C₂×C₃×Dic₅	—	2	2	no	—
203	C₂×C₃×Dic₅	M₁₆	1	4	yes	complemented
204	C₂×C₃×Dic₅	C₂²×C₄	1	1	yes	characteristic
205	C₂×C₃×Dic₅	C₂²×C₄	1	1	yes	characteristic
206	C₂×C₃×Dic₅	C₂²×C₄	1	1	yes	characteristic
207	C₂×C₃×Dic₅	C₂²×C₄	1	1	yes	characteristic
208	C₂×C₃×Dic₅	C₂²×C₄	1	1	yes	characteristic
209	C₂×C₃×Dic₅	C₂²×C₄	1	1	yes	characteristic
210	C₂×C₃×Dic₅	C₂²×C₄	1	1	yes	characteristic
211	C₃×C₄×D₅	—	2	1	no	—
212	C₃×C₄×D₅	—	2	1	no	—
213	C₃×C₄×D₅	—	2	2	no	—
214	C₃×C₄×D₅	—	2	2	no	—
215	C₃×Dic₁₀	—	2	2	no	—
216	C₃×C₅×C₈	—	2	1	no	—
217	C₃×C₅×C₈	—	2	1	no	—
218	C₃×C₅×C₈	—	2	1	no	—
219	C₃×C₅×C₈	#41	1	2	yes	complemented
220	C₃×#168	—	2	1	no	—
221	C₃×#168	—	2	1	no	—
222	C₃×#168	—	2	1	no	—
223	C₃×#168	#41	1	2	yes	complemented
224	C₂×C₃×#41	—	5	1	no	—
225	C₂×C₃×M₁₆	—	5	1	no	—
226	C₂×C₃×M₁₆	—	5	1	no	—
227	C₂×C₃×M₁₆	—	5	1	no	—
228	C₂×C₃×M₁₆	C₂×D₅	1	1	yes	characteristic
229	C₂²×C₃×C₈	—	5	1	no	—
230	C₂²×C₃×C₈	C₂×D₅	1	1	yes	characteristic
231	C₃×C₄×Q₈	—	5	1	no	—
232	C₃×C₄×Q₈	—	5	1	no	—
233	C₃×C₄×D₄	—	5	1	no	—
234	C₃×C₄×D₄	—	5	1	no	—
235	C₃×C₄×D₄	—	5	1	no	—
236	C₃×C₄×D₄	—	5	1	no	—
237	C₃×C₄×D₄	—	5	1	no	—
238	C₃×C₄×D₄	C₂×D₅	1	1	yes	characteristic
239	C₃×#117	—	5	1	no	—
240	C₃×#117	—	5	1	no	—
241	C₃×#117	—	5	1	no	—
242	C₂×C₃×C₄²	—	5	1	no	—
243	C₂×C₃×C₄²	—	5	1	no	—
244	C₂×C₃×C₄²	—	5	1	no	—
245	C₃×C₄⋊C₈	—	5	1	no	—
246	C₃×C₄⋊C₈	—	5	1	no	—
247	C₃×C₄⋊C₈	—	5	1	no	—
248	C₃×C₄⋊C₈	—	5	1	no	—
249	C₃×C₄⋊C₈	—	5	1	no	—
250	C₃×C₄⋊C₈	C₂×D₅	1	1	yes	characteristic
251	C₃×C₂²⋊C₈	—	5	1	no	—
252	C₃×C₂²⋊C₈	—	5	1	no	—
253	C₃×C₂²⋊C₈	—	5	1	no	—
254	C₃×C₂²⋊C₈	—	5	1	no	—
255	C₃×C₂²⋊C₈	C₂×D₅	1	1	yes	characteristic
256	C₃×C₂²⋊C₈	C₂×D₅	1	1	yes	characteristic
257	C₃×#97	—	5	1	no	—
258	C₃×#97	—	5	1	no	—
259	C₃×#97	—	5	1	no	—
260	C₃×#97	C₂×D₅	1	1	yes	characteristic
261	C₃×C₄×C₈	—	5	1	no	—
262	C₃×C₄×C₈	—	5	1	no	—
263	C₃×C₄×C₈	—	5	1	no	—
264	C₃×C₄×C₈	—	5	1	no	—
265	C₃×C₄×C₈	—	5	1	no	—
266	C₃×C₄×C₈	—	5	1	no	—
267	C₂×C₅×D₄	C₂×C₃×C₄	1	1	yes	characteristic
268	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
269	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
270	C₂×C₂²⋊D₅	C₂×C₃×C₄	1	1	yes	characteristic
271	C₂×C₂²⋊D₅	C₂×C₃×C₄	1	1	yes	characteristic
272	C₂²×Dic₅	C₂×C₃×C₄	1	1	yes	characteristic
273	C₂²×Dic₅	C₂×C₃×C₄	1	1	yes	characteristic
274	C₂²×Dic₅	C₂×C₃×C₄	1	1	yes	characteristic
275	C₂²×Dic₅	C₂×C₃×C₄	1	1	yes	characteristic
276	#711	—	2	4	no	—
277	C₂×C₄×D₅	C₂×C₃×C₄	1	1	yes	characteristic
278	C₂×C₄×D₅	C₂×C₃×C₄	1	1	yes	characteristic
279	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
280	C₂×Dic₁₀	C₂×C₃×C₄	1	1	yes	characteristic
281	C₅×M₁₆	—	2	2	no	—
282	C₂×C₅×C₈	—	2	2	no	—
283	C₂×C₅×C₈	C₂³×C₃	1	1	yes	characteristic
284	C₂×C₅×C₈	C₂³×C₃	1	1	yes	characteristic
285	C₂×C₅×C₈	C₂³×C₃	1	1	yes	characteristic
286	C₂×C₅×C₈	C₂³×C₃	1	1	yes	characteristic
287	C₅×C₄⋊C₄	C₂×C₃×C₄	1	1	yes	characteristic
288	C₅×C₂²⋊C₄	C₂×C₃×C₄	1	1	yes	characteristic
289	C₅×C₂²⋊C₄	C₂×C₃×C₄	1	1	yes	characteristic
290	C₄²×C₅	C₂³×C₃	1	1	yes	characteristic
291	C₂²⋊Dic₅	C₂×C₃×C₄	1	1	yes	characteristic
292	C₂²⋊Dic₅	C₂×C₃×C₄	1	1	yes	characteristic
293	#685	C₂×C₃×C₄	1	1	yes	characteristic
294	#685	C₂×C₃×C₄	1	1	yes	characteristic
295	C₄⋊Dic₅	C₂×C₃×C₄	1	1	yes	characteristic
296	#683	C₂×C₃×C₄	1	1	yes	characteristic
297	#683	C₂×C₃×C₄	1	1	yes	characteristic
298	#683	C₂×C₃×C₄	1	1	yes	characteristic
299	#683	C₂×C₃×C₄	1	1	yes	characteristic
300	C₄×Dic₅	C₂×C₃×C₄	1	1	yes	characteristic
301	C₄×Dic₅	C₂×C₃×C₄	1	1	yes	characteristic
302	C₄×Dic₅	C₂×C₃×C₄	1	1	yes	characteristic
303	C₄×Dic₅	C₂×C₃×C₄	1	1	yes	characteristic
304	C₄×Dic₅	C₂×C₃×C₄	1	1	yes	characteristic
305	C₄×Dic₅	C₂×C₃×C₄	1	1	yes	characteristic
306	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
307	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
308	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
309	#681	—	2	2	no	—
310	C₂×#168	—	2	2	no	—
311	C₂×#168	C₂³×C₃	1	1	yes	characteristic
312	C₂×#168	C₂³×C₃	1	1	yes	characteristic
313	C₂×#168	C₂³×C₃	1	1	yes	characteristic
314	C₂×#168	C₂³×C₃	1	1	yes	characteristic
315	#676	—	2	2	no	—
316	#676	—	2	2	no	—
317	C₄×#41	—	5	1	no	—
318	#446	—	5	1	no	—
319	#446	—	5	1	no	—
320	#436	—	5	1	no	—
321	#436	—	5	1	no	—
322	#435	—	5	1	no	—
323	#435	—	5	1	no	—
324	#435	—	5	1	no	—
325	#435	C₃×D₅	1	1	yes	characteristic, complemented
326	#431	—	5	1	no	—
327	#431	—	5	1	no	—
328	#431	—	5	1	no	—
329	C₄×M₁₆	—	5	1	no	—
330	C₄×M₁₆	—	5	1	no	—
331	C₂×C₄×C₈	—	5	1	no	—
332	C₂²×C₃×C₅	—	2	1	no	—
333	C₂²×C₃×C₅	—	2	1	no	—
334	C₂²×C₃×C₅	—	2	1	no	—
335	C₂²×C₃×C₅	—	2	1	no	—
336	C₂²×C₃×C₅	—	2	1	no	—
337	C₂²×C₃×C₅	C₂×M₁₆	1	2	yes	—
338	C₂²×C₃×C₅	C₂³×C₄	1	1	yes	characteristic
339	C₂×C₃×D₅	—	2	1	no	—
340	C₂×C₃×D₅	—	2	1	no	—
341	C₂×C₃×D₅	—	2	1	no	—
342	C₃×C₄×C₅	—	2	1	no	—
343	C₃×C₄×C₅	—	2	1	no	—
344	C₃×C₄×C₅	—	2	1	no	—
345	C₃×C₄×C₅	—	2	1	no	—
346	C₃×C₄×C₅	C₂×#41	1	1	yes	characteristic
347	C₃×C₄×C₅	C₂×#41	1	1	yes	characteristic
348	C₃×Dic₅	—	2	1	no	—
349	C₃×Dic₅	—	2	1	no	—
350	C₃×Dic₅	—	2	1	no	—
351	C₃×Dic₅	—	2	1	no	—
352	C₃×Dic₅	C₂×M₁₆	1	2	yes	—
353	C₃×Dic₅	C₂×M₁₆	1	2	yes	—
354	C₃×Dic₅	#131	1	2	yes	—
355	C₃×#41	—	10	4	no	—
356	C₂×C₃×Q₈	—	5	1	no	—
357	C₂×C₃×D₄	—	5	1	no	—
358	C₂×C₃×D₄	—	5	1	no	—
359	C₂×C₃×D₄	C₄×D₅	1	1	yes	characteristic
360	C₂²×C₃×C₄	—	5	1	no	—
361	C₂²×C₃×C₄	—	5	1	no	—
362	C₂²×C₃×C₄	—	5	1	no	—
363	C₂²×C₃×C₄	—	5	1	no	—
364	C₂²×C₃×C₄	—	5	1	no	—
365	C₂²×C₃×C₄	—	5	1	no	—
366	C₂²×C₃×C₄	—	5	1	no	—
367	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
368	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
369	C₃×M₁₆	—	2	2	no	—
370	C₃×M₁₆	—	10	2	no	—
371	C₃×M₁₆	—	10	2	no	—
372	C₃×M₁₆	—	10	2	no	—
373	C₂×C₃×C₈	—	2	2	no	—
374	C₂×C₃×C₈	—	5	1	no	—
375	C₂×C₃×C₈	—	5	1	no	—
376	C₂×C₃×C₈	—	5	1	no	—
377	C₂×C₃×C₈	—	5	1	no	—
378	C₂×C₃×C₈	—	10	2	no	—
379	C₂×C₃×C₈	C₂²×D₅	1	1	yes	characteristic
380	C₂×C₃×C₈	C₂²×D₅	1	1	yes	characteristic
381	C₂×C₃×C₈	C₂²×D₅	1	1	yes	characteristic
382	C₂×C₃×C₈	C₂²×D₅	1	1	yes	characteristic
383	C₃×C₄⋊C₄	—	5	1	no	—
384	C₃×C₄⋊C₄	—	5	1	no	—
385	C₃×C₄⋊C₄	—	5	1	no	—
386	C₃×C₄⋊C₄	—	5	1	no	—
387	C₃×C₄⋊C₄	—	5	1	no	—
388	C₃×C₄⋊C₄	C₄×D₅	1	1	yes	characteristic
389	C₃×C₂²⋊C₄	—	5	1	no	—
390	C₃×C₂²⋊C₄	—	5	1	no	—
391	C₃×C₂²⋊C₄	—	5	1	no	—
392	C₃×C₂²⋊C₄	—	5	1	no	—
393	C₃×C₂²⋊C₄	C₄×D₅	1	1	yes	characteristic
394	C₃×C₂²⋊C₄	C₄×D₅	1	1	yes	characteristic
395	C₃×C₄²	—	5	1	no	—
396	C₃×C₄²	—	5	1	no	—
397	C₃×C₄²	—	5	1	no	—
398	C₃×C₄²	—	5	1	no	—
399	C₃×C₄²	—	5	1	no	—
400	C₃×C₄²	—	5	1	no	—
401	C₃×C₄²	—	5	1	no	—
402	C₃×C₄²	—	5	1	no	—
403	C₃×C₄²	—	5	1	no	—
404	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic
405	C₂³×C₅	C₂²×C₃×C₄	1	1	yes	characteristic
406	C₂³×C₅	C₂²×C₃×C₄	1	1	yes	characteristic
407	C₂²×D₅	C₂²×C₃×C₄	1	1	yes	characteristic
408	C₅×D₄	—	2	2	no	—
409	C₂×C₄×C₅	—	2	1	no	—
410	C₂×C₄×C₅	—	2	1	no	—
411	C₂×C₄×C₅	—	2	1	no	—
412	C₂×C₄×C₅	—	2	1	no	—
413	C₂×C₄×C₅	C₂²×C₃×C₄	1	1	yes	characteristic
414	C₂×C₄×C₅	C₂²×C₃×C₄	1	1	yes	characteristic
415	C₂×C₄×C₅	C₂²×C₃×C₄	1	1	yes	characteristic
416	C₂×C₄×C₅	C₂²×C₃×C₄	1	1	yes	characteristic
417	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
418	C₂²⋊D₅	—	2	2	no	—
419	C₂²⋊D₅	—	2	2	no	—
420	C₂×Dic₅	—	2	2	no	—
421	C₂×Dic₅	—	2	2	no	—
422	C₂×Dic₅	—	2	2	no	—
423	C₂×Dic₅	C₃×M₁₆	1	4	yes	complemented
424	C₂×Dic₅	C₂²×C₃×C₄	1	1	yes	characteristic
425	C₂×Dic₅	C₂²×C₃×C₄	1	1	yes	characteristic
426	C₂×Dic₅	C₂²×C₃×C₄	1	1	yes	characteristic
427	C₂×Dic₅	C₂²×C₃×C₄	1	1	yes	characteristic
428	C₂×Dic₅	C₂²×C₃×C₄	1	1	yes	characteristic
429	C₂×Dic₅	C₂²×C₃×C₄	1	1	yes	characteristic
430	C₂×Dic₅	C₂²×C₃×C₄	1	1	yes	characteristic
431	C₄×D₅	—	2	1	no	—
432	C₄×D₅	—	2	1	no	—
433	C₄×D₅	—	2	2	no	—
434	C₄×D₅	—	2	2	no	—
435	Dic₁₀	—	2	2	no	—
436	C₅×C₈	—	2	1	no	—
437	C₅×C₈	—	2	1	no	—
438	C₅×C₈	—	2	1	no	—
439	C₅×C₈	C₃×#41	1	2	yes	complemented
440	#168	—	2	1	no	—
441	#168	—	2	1	no	—
442	#168	—	2	1	no	—
443	#168	C₃×#41	1	2	yes	complemented
444	C₂×#41	—	5	1	no	—
445	C₂×M₁₆	—	5	1	no	—
446	C₂×M₁₆	—	5	1	no	—
447	C₂×M₁₆	—	5	1	no	—
448	C₂×M₁₆	C₂×C₃×D₅	1	1	yes	characteristic
449	C₂²×C₈	—	5	1	no	—
450	C₂²×C₈	C₂×C₃×D₅	1	1	yes	characteristic
451	C₄×Q₈	—	5	1	no	—
452	C₄×Q₈	—	5	1	no	—
453	C₄×D₄	—	5	1	no	—
454	C₄×D₄	—	5	1	no	—
455	C₄×D₄	—	5	1	no	—
456	C₄×D₄	—	5	1	no	—
457	C₄×D₄	—	5	1	no	—
458	C₄×D₄	C₂×C₃×D₅	1	1	yes	characteristic
459	#117	—	5	1	no	—
460	#117	—	5	1	no	—
461	#117	—	5	1	no	—
462	C₂×C₄²	—	5	1	no	—
463	C₂×C₄²	—	5	1	no	—
464	C₂×C₄²	—	5	1	no	—
465	C₄⋊C₈	—	5	1	no	—
466	C₄⋊C₈	—	5	1	no	—
467	C₄⋊C₈	—	5	1	no	—
468	C₄⋊C₈	—	5	1	no	—
469	C₄⋊C₈	—	5	1	no	—
470	C₄⋊C₈	C₂×C₃×D₅	1	1	yes	characteristic
471	C₂²⋊C₈	—	5	1	no	—
472	C₂²⋊C₈	—	5	1	no	—
473	C₂²⋊C₈	—	5	1	no	—
474	C₂²⋊C₈	—	5	1	no	—
475	C₂²⋊C₈	C₂×C₃×D₅	1	1	yes	characteristic
476	C₂²⋊C₈	C₂×C₃×D₅	1	1	yes	characteristic
477	#97	—	5	1	no	—
478	#97	—	5	1	no	—
479	#97	—	5	1	no	—
480	#97	C₂×C₃×D₅	1	1	yes	characteristic
481	C₄×C₈	—	5	1	no	—
482	C₄×C₈	—	5	1	no	—
483	C₄×C₈	—	5	1	no	—
484	C₄×C₈	—	5	1	no	—
485	C₄×C₈	—	5	1	no	—
486	C₄×C₈	—	5	1	no	—
487	C₂×C₃×C₅	—	2	2	no	—
488	C₂×C₃×C₅	—	4	1	no	—
489	C₂×C₃×C₅	C₄×#41	1	1	yes	characteristic
490	C₂×C₃×C₅	C₂²×M₁₆	1	1	yes	characteristic
491	C₂×C₃×C₅	C₂×#131	1	1	yes	characteristic
492	C₃×D₅	—	4	1	no	—
493	C₂³×C₃	—	5	1	no	—
494	C₂³×C₃	C₂×C₄×D₅	1	1	yes	characteristic
495	C₂³×C₃	C₂×C₄×D₅	1	1	yes	characteristic
496	C₃×Q₈	—	10	2	no	—
497	C₃×D₄	—	2	2	no	—
498	C₃×D₄	—	10	2	no	—
499	C₃×D₄	—	10	2	no	—
500	C₂×C₃×C₄	—	2	1	no	—
501	C₂×C₃×C₄	—	2	1	no	—
502	C₂×C₃×C₄	—	2	1	no	—
503	C₂×C₃×C₄	—	2	1	no	—
504	C₂×C₃×C₄	—	5	1	no	—
505	C₂×C₃×C₄	—	5	1	no	—
506	C₂×C₃×C₄	—	5	1	no	—
507	C₂×C₃×C₄	—	5	4	no	—
508	C₂×C₃×C₄	—	5	1	no	—
509	C₂×C₃×C₄	—	5	1	no	—
510	C₂×C₃×C₄	—	5	1	no	—
511	C₂×C₃×C₄	—	5	1	no	—
512	C₂×C₃×C₄	—	10	2	no	—
513	C₂×C₃×C₄	—	10	2	no	—
514	C₂×C₃×C₄	—	10	2	no	—
515	C₂×C₃×C₄	—	10	2	no	—
516	C₂×C₃×C₄	—	10	2	no	—
517	C₂×C₃×C₄	—	10	1	no	—
518	C₂×C₃×C₄	—	10	1	no	—
519	C₂×C₃×C₄	C₂×C₄×D₅	1	1	yes	characteristic
520	C₂×C₃×C₄	C₂×C₄×D₅	1	1	yes	characteristic
521	C₂×C₃×C₄	C₂×C₄×D₅	1	1	yes	characteristic
522	C₂×C₃×C₄	C₂×C₄×D₅	1	1	yes	characteristic
523	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
524	C₃×C₈	—	2	1	no	—
525	C₃×C₈	—	2	1	no	—
526	C₃×C₈	—	2	1	no	—
527	C₃×C₈	—	5	2	no	—
528	C₃×C₈	—	10	1	no	—
529	C₃×C₈	—	10	1	no	—
530	C₃×C₈	—	10	1	no	—
531	C₃×C₈	#711	1	2	yes	complemented
532	C₂²×C₅	—	2	1	no	—
533	C₂²×C₅	—	2	1	no	—
534	C₂²×C₅	—	2	1	no	—
535	C₂²×C₅	—	2	1	no	—
536	C₂²×C₅	—	2	1	no	—
537	C₂²×C₅	C₂×C₃×M₁₆	1	2	yes	—
538	C₂²×C₅	C₂³×C₃×C₄	1	1	yes	characteristic
539	C₂×D₅	—	2	1	no	—
540	C₂×D₅	—	2	1	no	—
541	C₂×D₅	—	2	1	no	—
542	C₄×C₅	—	2	1	no	—
543	C₄×C₅	—	2	1	no	—
544	C₄×C₅	—	2	1	no	—
545	C₄×C₅	—	2	1	no	—
546	C₄×C₅	C₂×C₃×#41	1	1	yes	characteristic
547	C₄×C₅	C₂×C₃×#41	1	1	yes	characteristic
548	Dic₅	—	2	1	no	—
549	Dic₅	—	2	1	no	—
550	Dic₅	—	2	1	no	—
551	Dic₅	—	2	1	no	—
552	Dic₅	C₂×C₃×M₁₆	1	2	yes	—
553	Dic₅	C₂×C₃×M₁₆	1	2	yes	—
554	Dic₅	C₃×#131	1	2	yes	—
555	#41	—	10	4	no	—
556	C₂×Q₈	—	5	1	no	—
557	C₂×D₄	—	5	1	no	—
558	C₂×D₄	—	5	1	no	—
559	C₂×D₄	C₃×C₄×D₅	1	1	yes	characteristic
560	C₂²×C₄	—	5	1	no	—
561	C₂²×C₄	—	5	1	no	—
562	C₂²×C₄	—	5	1	no	—
563	C₂²×C₄	—	5	1	no	—
564	C₂²×C₄	—	5	1	no	—
565	C₂²×C₄	—	5	1	no	—
566	C₂²×C₄	—	5	1	no	—
567	C₂²×C₄	C₂²×C₃×D₅	1	1	yes	characteristic
568	C₂²×C₄	C₂²×C₃×D₅	1	1	yes	characteristic
569	M₁₆	—	2	2	no	—
570	M₁₆	—	10	2	no	—
571	M₁₆	—	10	2	no	—
572	M₁₆	—	10	2	no	—
573	C₂×C₈	—	2	2	no	—
574	C₂×C₈	—	5	1	no	—
575	C₂×C₈	—	5	1	no	—
576	C₂×C₈	—	5	1	no	—
577	C₂×C₈	—	5	1	no	—
578	C₂×C₈	—	10	2	no	—
579	C₂×C₈	C₂²×C₃×D₅	1	1	yes	characteristic
580	C₂×C₈	C₂²×C₃×D₅	1	1	yes	characteristic
581	C₂×C₈	C₂²×C₃×D₅	1	1	yes	characteristic
582	C₂×C₈	C₂²×C₃×D₅	1	1	yes	characteristic
583	C₄⋊C₄	—	5	1	no	—
584	C₄⋊C₄	—	5	1	no	—
585	C₄⋊C₄	—	5	1	no	—
586	C₄⋊C₄	—	5	1	no	—
587	C₄⋊C₄	—	5	1	no	—
588	C₄⋊C₄	C₃×C₄×D₅	1	1	yes	characteristic
589	C₂²⋊C₄	—	5	1	no	—
590	C₂²⋊C₄	—	5	1	no	—
591	C₂²⋊C₄	—	5	1	no	—
592	C₂²⋊C₄	—	5	1	no	—
593	C₂²⋊C₄	C₃×C₄×D₅	1	1	yes	characteristic
594	C₂²⋊C₄	C₃×C₄×D₅	1	1	yes	characteristic
595	C₄²	—	5	1	no	—
596	C₄²	—	5	1	no	—
597	C₄²	—	5	1	no	—
598	C₄²	—	5	1	no	—
599	C₄²	—	5	1	no	—
600	C₄²	—	5	1	no	—
601	C₄²	—	5	1	no	—
602	C₄²	—	5	1	no	—
603	C₄²	—	5	1	no	—
604	C₄²	C₂²×C₃×D₅	1	1	yes	characteristic
605	C₃×C₅	#2965	1	1	yes	characteristic, complemented, Hall
606	C₂²×C₃	—	2	1	no	—
607	C₂²×C₃	—	2	1	no	—
608	C₂²×C₃	—	2	1	no	—
609	C₂²×C₃	—	2	1	no	—
610	C₂²×C₃	—	2	1	no	—
611	C₂²×C₃	—	10	1	no	—
612	C₂²×C₃	—	10	1	no	—
613	C₂²×C₃	—	10	1	no	—
614	C₂²×C₃	D₅×M₁₆	1	2	yes	—
615	C₂²×C₃	C₂²×C₄×D₅	1	1	yes	characteristic
616	C₃×C₄	—	2	1	no	—
617	C₃×C₄	—	2	1	no	—
618	C₃×C₄	—	2	1	no	—
619	C₃×C₄	—	2	1	no	—
620	C₃×C₄	—	5	2	no	—
621	C₃×C₄	—	5	2	no	—
622	C₃×C₄	—	5	2	no	—
623	C₃×C₄	—	10	1	no	—
624	C₃×C₄	—	10	1	no	—
625	C₃×C₄	—	10	1	no	—
626	C₃×C₄	—	10	1	no	—
627	C₃×C₄	C₂×#711	1	1	yes	characteristic
628	C₃×C₄	D₅×#41	1	1	yes	characteristic
629	C₂×C₅	—	2	2	no	—
630	C₂×C₅	—	4	1	no	—
631	C₂×C₅	C₃×C₄×#41	1	1	yes	characteristic
632	C₂×C₅	C₂²×C₃×M₁₆	1	1	yes	characteristic
633	C₂×C₅	C₂×C₃×#131	1	1	yes	characteristic
634	D₅	—	4	1	no	—
635	C₂³	—	5	1	no	—
636	C₂³	C₂×C₃×C₄×D₅	1	1	yes	characteristic
637	C₂³	C₂×C₃×C₄×D₅	1	1	yes	characteristic
638	Q₈	—	10	2	no	—
639	D₄	—	2	2	no	—
640	D₄	—	10	2	no	—
641	D₄	—	10	2	no	—
642	C₂×C₄	—	2	1	no	—
643	C₂×C₄	—	2	1	no	—
644	C₂×C₄	—	2	1	no	—
645	C₂×C₄	—	2	1	no	—
646	C₂×C₄	—	5	1	no	—
647	C₂×C₄	—	5	1	no	—
648	C₂×C₄	—	5	1	no	—
649	C₂×C₄	—	5	4	no	—
650	C₂×C₄	—	5	1	no	—
651	C₂×C₄	—	5	1	no	—
652	C₂×C₄	—	5	1	no	—
653	C₂×C₄	—	5	1	no	—
654	C₂×C₄	—	10	2	no	—
655	C₂×C₄	—	10	2	no	—
656	C₂×C₄	—	10	2	no	—
657	C₂×C₄	—	10	2	no	—
658	C₂×C₄	—	10	2	no	—
659	C₂×C₄	—	10	1	no	—
660	C₂×C₄	—	10	1	no	—
661	C₂×C₄	C₂×C₃×C₄×D₅	1	1	yes	characteristic
662	C₂×C₄	C₂×C₃×C₄×D₅	1	1	yes	characteristic
663	C₂×C₄	C₂×C₃×C₄×D₅	1	1	yes	characteristic
664	C₂×C₄	C₂×C₃×C₄×D₅	1	1	yes	characteristic
665	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
666	C₈	—	2	1	no	—
667	C₈	—	2	1	no	—
668	C₈	—	2	1	no	—
669	C₈	—	5	2	no	—
670	C₈	—	10	1	no	—
671	C₈	—	10	1	no	—
672	C₈	—	10	1	no	—
673	C₈	C₃×#711	1	2	yes	complemented
674	C₂×C₃	—	2	2	no	—
675	C₂×C₃	—	4	1	no	—
676	C₂×C₃	—	20	1	no	—
677	C₂×C₃	C₄×#711	1	1	yes	characteristic
678	C₂×C₃	C₂×D₅×M₁₆	1	1	yes	characteristic
679	C₂×C₃	D₅×#131	1	1	yes	characteristic
680	C₅	C₃×#2965	1	1	yes	characteristic, complemented, Sylow
681	C₂²	—	2	1	no	—
682	C₂²	—	2	1	no	—
683	C₂²	—	2	1	no	—
684	C₂²	—	2	1	no	—
685	C₂²	—	2	1	no	—
686	C₂²	—	10	1	no	—
687	C₂²	—	10	1	no	—
688	C₂²	—	10	1	no	—
689	C₂²	C₃×D₅×M₁₆	1	2	yes	—
690	C₂²	C₂²×C₃×C₄×D₅	1	1	yes	characteristic
691	C₄	—	2	1	no	—
692	C₄	—	2	1	no	—
693	C₄	—	2	1	no	—
694	C₄	—	2	1	no	—
695	C₄	—	5	2	no	—
696	C₄	—	5	2	no	—
697	C₄	—	5	2	no	—
698	C₄	—	10	1	no	—
699	C₄	—	10	1	no	—
700	C₄	—	10	1	no	—
701	C₄	—	10	1	no	—
702	C₄	C₂×C₃×#711	1	1	yes	characteristic
703	C₄	C₃×D₅×#41	1	1	yes	characteristic
704	C₃	#10611184	1	1	yes	characteristic, direct product factor, Sylow
705	C₂	—	2	2	no	—
706	C₂	—	4	1	no	—
707	C₂	—	20	1	no	—
708	C₂	C₃×C₄×#711	1	1	yes	characteristic
709	C₂	C₂×C₃×D₅×M₁₆	1	1	yes	characteristic
710	C₂	C₃×D₅×#131	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×#435	C₂
socle	C₂²×C₃×C₅	C₂³×C₄
prime radical	C₂×C₃×#711	C₄
cosocle	C₂×C₄×C₅	C₂⁴×C₃
hypercenter	C₃×#435	D₅
hypocenter	C₅	C₃×#2965
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂×C₃×C₄ ◁ C₃×#435

Complements

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

N	H ≅ G/N	type
2. C₃×C₅×#435	C₂	semidirect
3. C₃×#65417	C₂	semidirect
4. C₃×M₁₆×Dic₅	C₂	semidirect
5. C₃×#65400	C₂	semidirect
6. C₂×C₃×C₈×Dic₅	C₂	semidirect
7. C₃×#65300	C₂	semidirect
8. C₃×#65122	C₂	semidirect
9. C₃×#65117	C₂	semidirect
10. C₃×#65019	C₂	semidirect
11. C₃×#65018	C₂	semidirect
12. C₃×#65007	C₂	semidirect
13. C₃×#65007	C₂	semidirect
14. C₃×#64996	C₂	semidirect
15. C₃×#64990	C₂	semidirect
16. #10611184	C₃	direct (N × H)
62. C₅×#435	C₂×C₃	semidirect
63. #65417	C₂×C₃	semidirect
64. M₁₆×Dic₅	C₂×C₃	semidirect
65. #65400	C₂×C₃	semidirect
66. C₂×C₈×Dic₅	C₂×C₃	semidirect
67. #65300	C₂×C₃	semidirect
68. #65122	C₂×C₃	semidirect
69. #65117	C₂×C₃	semidirect
70. #65019	C₂×C₃	semidirect
71. #65018	C₂×C₃	semidirect
72. #65007	C₂×C₃	semidirect
73. #65007	C₂×C₃	semidirect
74. #64996	C₂×C₃	semidirect
75. #64990	C₂×C₃	semidirect
134. C₃×#435	D₅	semidirect
203. C₂×C₃×Dic₅	M₁₆	semidirect
219. C₃×C₅×C₈	#41	semidirect
223. C₃×#168	#41	semidirect
325. #435	C₃×D₅	semidirect
423. C₂×Dic₅	C₃×M₁₆	semidirect
439. C₅×C₈	C₃×#41	semidirect
443. #168	C₃×#41	semidirect
531. C₃×C₈	#711	semidirect
605. C₃×C₅	#2965	semidirect
673. C₈	C₃×#711	semidirect
680. C₅	C₃×#2965	semidirect
704. C₃	#10611184	direct (N × H)

Maximal subgroups

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

subgroup	index
C₃×C₄×#711	2
C₃×C₅×#435	2
C₃×#65417	2
C₃×M₁₆×Dic₅	2
C₃×#65400	2
C₂×C₃×C₈×Dic₅	2
C₃×#65300	2
C₃×#65122	2
C₃×#65117	2
C₃×#65019	2
C₃×#65018	2
C₃×#65007	2
C₃×#64996	2
C₃×#64990	2
#10611184	3
C₃×#2965	5

Subgroups — C3×#10611184 #14418964

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#10611184 #14418964