Subgroups — C₃×#10599177 #14284840

Order 1920.

520 conjugacy classes of subgroups.

The subgroup lattice has 396 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#66050	C₂	1	1	yes	maximal, characteristic
2	C₃×#65126	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×D₅×C₄⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×C₅×#331	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#64764	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#64706	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#64702	C₂	1	1	yes	maximal, characteristic, complemented
8	#10599177	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
9	C₂×C₃×#711	—	2	1	no	—
10	C₃×C₅×#127	C₂²	1	1	yes	characteristic
11	C₃×#4084	—	2	1	no	—
12	C₃×#4084	C₄	1	2	yes	—
13	C₃×#4082	—	2	1	no	—
14	C₃×D₄×Dic₅	—	2	1	no	—
15	C₃×D₄×Dic₅	C₄	1	2	yes	—
16	C₂×C₃×#676	—	2	1	no	—
17	C₂×C₃×C₈×D₅	—	2	1	no	—
18	C₃×C₄²×D₅	C₂²	1	1	yes	characteristic
19	C₃×#4015	C₂²	1	1	yes	characteristic
20	C₃×C₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
21	C₃×C₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
22	C₃×#3946	—	2	1	no	—
23	C₃×#3946	—	2	1	no	—
24	C₃×C₄⋊#168	C₂²	1	1	yes	characteristic
25	C₃×C₄⋊#168	C₂²	1	1	yes	characteristic
26	C₃×#1547	—	5	1	no	maximal, Hall
27	#66050	C₂×C₃	1	1	yes	characteristic
28	#65126	C₂×C₃	1	1	yes	characteristic, complemented
29	D₅×C₄⋊C₈	C₂×C₃	1	1	yes	characteristic, complemented
30	C₅×#331	C₂×C₃	1	1	yes	characteristic, complemented
31	#64764	C₂×C₃	1	1	yes	characteristic, complemented
32	#64706	C₂×C₃	1	1	yes	characteristic, complemented
33	#64702	C₂×C₃	1	1	yes	characteristic, complemented
34	C₂×C₃×C₅×D₄	—	2	1	no	—
35	C₂×C₃×C₅×D₄	—	2	1	no	—
36	C₂×C₃×C₅×D₄	C₂×C₄	1	2	yes	—
37	C₂×C₃×C₂²⋊D₅	—	2	2	no	—
38	C₂²×C₃×Dic₅	—	2	2	no	—
39	C₃×#711	—	4	2	no	—
40	C₃×#711	—	4	2	no	—
41	C₂×C₃×C₄×D₅	C₂×C₄	1	1	yes	characteristic
42	C₂×C₃×C₄×D₅	D₄	1	1	yes	characteristic
43	C₂×C₃×C₄×D₅	D₄	1	1	yes	characteristic
44	C₂×C₃×Dic₁₀	—	2	1	no	—
45	C₂×C₃×C₅×C₈	—	2	1	no	—
46	C₂×C₃×C₅×C₈	—	2	1	no	—
47	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
48	C₃×C₂²⋊Dic₅	—	2	2	no	—
49	C₃×C₂²⋊Dic₅	—	2	2	no	—
50	C₃×C₄⋊Dic₅	—	2	1	no	—
51	C₃×C₄⋊Dic₅	C₂×C₄	1	2	yes	—
52	C₃×C₄×Dic₅	C₂×C₄	1	1	yes	characteristic
53	C₃×C₄×Dic₅	D₄	1	1	yes	characteristic
54	C₃×C₄×Dic₅	D₄	1	1	yes	characteristic
55	C₂×C₃×#168	—	2	1	no	—
56	C₂×C₃×#168	—	2	1	no	—
57	C₃×#676	—	4	2	no	—
58	C₃×C₈×D₅	—	4	2	no	—
59	C₃×#532	—	5	1	no	—
60	C₃×#423	—	5	1	no	—
61	C₂×C₃×C₄⋊C₈	—	5	1	no	—
62	C₃×#332	—	5	1	no	—
63	C₃×#332	—	5	1	no	—
64	C₃×#331	—	5	1	no	—
65	C₃×#331	D₅	1	1	yes	characteristic, complemented
66	C₂×#711	—	2	1	no	—
67	C₅×#127	C₂²×C₃	1	1	yes	characteristic
68	#4084	—	2	1	no	—
69	#4084	C₃×C₄	1	2	yes	—
70	#4082	—	2	1	no	—
71	D₄×Dic₅	—	2	1	no	—
72	D₄×Dic₅	C₃×C₄	1	2	yes	—
73	C₂×#676	—	2	1	no	—
74	C₂×C₈×D₅	—	2	1	no	—
75	C₄²×D₅	C₂²×C₃	1	1	yes	characteristic
76	#4015	C₂²×C₃	1	1	yes	characteristic
77	C₅×C₄⋊C₈	C₂²×C₃	1	1	yes	characteristic
78	C₅×C₄⋊C₈	C₂²×C₃	1	1	yes	characteristic
79	#3946	—	2	1	no	—
80	#3946	—	2	1	no	—
81	C₄⋊#168	C₂²×C₃	1	1	yes	characteristic
82	C₄⋊#168	C₂²×C₃	1	1	yes	characteristic
83	#1547	—	5	1	no	Sylow
84	C₂³×C₃×C₅	—	2	2	no	—
85	C₂²×C₃×D₅	C₂²⋊C₄	1	1	yes	characteristic
86	C₃×C₅×D₄	—	4	2	no	—
87	C₃×C₅×D₄	—	4	1	no	—
88	C₃×C₅×D₄	—	4	1	no	—
89	C₃×C₅×D₄	—	4	1	no	—
90	C₃×C₅×D₄	—	4	1	no	—
91	C₂×C₃×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
92	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
93	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
94	C₃×C₂²⋊D₅	—	4	4	no	—
95	C₂×C₃×Dic₅	—	2	2	no	—
96	C₂×C₃×Dic₅	—	4	4	no	—
97	C₂×C₃×Dic₅	C₂²⋊C₄	1	1	yes	characteristic
98	C₂×C₃×Dic₅	C₂²⋊C₄	1	1	yes	characteristic
99	C₂×C₃×Dic₅	C₂²⋊C₄	1	1	yes	characteristic
100	C₃×C₄×D₅	—	2	1	no	—
101	C₃×C₄×D₅	—	2	1	no	—
102	C₃×C₄×D₅	—	4	1	no	—
103	C₃×C₄×D₅	D₈	1	2	yes	—
104	C₃×C₄×D₅	SD₁₆	1	2	yes	—
105	C₃×Dic₁₀	—	4	1	no	—
106	C₃×Dic₁₀	—	4	1	no	—
107	C₃×C₅×C₈	—	4	1	no	—
108	C₃×C₅×C₈	—	4	1	no	—
109	C₃×#168	—	4	1	no	—
110	C₃×#168	—	4	1	no	—
111	C₂×C₃×#41	—	10	1	no	—
112	C₂×C₃×M₁₆	—	10	1	no	—
113	C₂²×C₃×C₈	—	10	1	no	—
114	C₃×C₄⋊Q₈	—	5	1	no	—
115	C₃×#127	C₂×D₅	1	1	yes	characteristic
116	C₃×#124	—	10	1	no	—
117	C₃×#121	—	5	2	no	—
118	C₃×#121	—	10	1	no	—
119	C₃×C₄×D₄	—	5	2	no	—
120	C₃×C₄×D₄	—	10	1	no	—
121	C₂×C₃×C₄²	—	5	1	no	—
122	C₃×C₄⋊C₈	—	5	1	no	—
123	C₃×C₄⋊C₈	—	5	1	no	—
124	C₃×C₄⋊C₈	—	10	1	no	—
125	C₃×C₄⋊C₈	—	10	1	no	—
126	C₃×C₄⋊C₈	C₂×D₅	1	1	yes	characteristic
127	C₃×C₄⋊C₈	C₂×D₅	1	1	yes	characteristic
128	C₂×C₅×D₄	—	2	1	no	—
129	C₂×C₅×D₄	—	2	1	no	—
130	C₂×C₅×D₄	C₂×C₃×C₄	1	2	yes	—
131	C₂×C₂²⋊D₅	—	2	2	no	—
132	C₂²×Dic₅	—	2	2	no	—
133	#711	—	4	2	no	—
134	#711	—	4	2	no	—
135	C₂×C₄×D₅	C₂×C₃×C₄	1	1	yes	characteristic
136	C₂×C₄×D₅	C₃×D₄	1	1	yes	characteristic
137	C₂×C₄×D₅	C₃×D₄	1	1	yes	characteristic
138	C₂×Dic₁₀	—	2	1	no	—
139	C₂×C₅×C₈	—	2	1	no	—
140	C₂×C₅×C₈	—	2	1	no	—
141	C₄²×C₅	C₂³×C₃	1	1	yes	characteristic
142	C₂²⋊Dic₅	—	2	2	no	—
143	C₂²⋊Dic₅	—	2	2	no	—
144	C₄⋊Dic₅	—	2	1	no	—
145	C₄⋊Dic₅	C₂×C₃×C₄	1	2	yes	—
146	C₄×Dic₅	C₂×C₃×C₄	1	1	yes	characteristic
147	C₄×Dic₅	C₃×D₄	1	1	yes	characteristic
148	C₄×Dic₅	C₃×D₄	1	1	yes	characteristic
149	C₂×#168	—	2	1	no	—
150	C₂×#168	—	2	1	no	—
151	#676	—	4	2	no	—
152	C₈×D₅	—	4	2	no	—
153	#532	—	5	1	no	—
154	#423	—	5	1	no	—
155	C₂×C₄⋊C₈	—	5	1	no	—
156	#332	—	5	1	no	—
157	#332	—	5	1	no	—
158	#331	—	5	1	no	—
159	#331	C₃×D₅	1	1	yes	characteristic, complemented
160	C₂²×C₃×C₅	—	4	2	no	—
161	C₂²×C₃×C₅	—	4	2	no	—
162	C₂²×C₃×C₅	—	4	2	no	—
163	C₂²×C₃×C₅	C₂×C₂²⋊C₄	1	1	yes	characteristic
164	C₂×C₃×D₅	—	2	1	no	—
165	C₂×C₃×D₅	—	2	1	no	—
166	C₂×C₃×D₅	#102	1	2	yes	—
167	C₃×C₄×C₅	—	2	1	no	—
168	C₃×C₄×C₅	C₂×D₈	1	1	yes	characteristic
169	C₃×C₄×C₅	C₂×SD₁₆	1	1	yes	characteristic
170	C₃×C₄×C₅	AGL(1,ℤ/8)	1	1	yes	characteristic
171	C₃×C₄×C₅	#137	1	1	yes	characteristic
172	C₃×Dic₅	—	2	1	no	—
173	C₃×Dic₅	—	2	1	no	—
174	C₃×Dic₅	—	4	2	no	—
175	C₃×Dic₅	#102	1	2	yes	—
176	C₃×#41	—	20	2	no	—
177	C₃×#41	—	20	2	no	—
178	C₂×C₃×Q₈	—	10	1	no	—
179	C₂×C₃×D₄	—	2	1	no	—
180	C₂×C₃×D₄	—	2	1	no	—
181	C₂×C₃×D₄	—	10	2	no	—
182	C₂×C₃×D₄	C₄×D₅	1	2	yes	—
183	C₂²×C₃×C₄	—	5	1	no	—
184	C₂²×C₃×C₄	—	5	1	no	—
185	C₂²×C₃×C₄	—	5	1	no	—
186	C₂²×C₃×C₄	—	10	2	no	—
187	C₃×M₁₆	—	20	2	no	—
188	C₂×C₃×C₈	—	2	1	no	—
189	C₂×C₃×C₈	—	2	1	no	—
190	C₂×C₃×C₈	—	10	1	no	—
191	C₂×C₃×C₈	—	10	1	no	—
192	C₂×C₃×C₈	—	20	2	no	—
193	C₃×C₄⋊C₄	—	5	2	no	—
194	C₃×C₄⋊C₄	—	10	1	no	—
195	C₃×C₂²⋊C₄	—	10	2	no	—
196	C₃×C₂²⋊C₄	—	10	2	no	—
197	C₃×C₄²	—	5	1	no	—
198	C₃×C₄²	—	5	1	no	—
199	C₃×C₄²	—	5	1	no	—
200	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic
201	C₂³×C₅	—	2	2	no	—
202	C₂²×D₅	C₃×C₂²⋊C₄	1	1	yes	characteristic
203	C₅×D₄	—	4	2	no	—
204	C₅×D₄	—	4	1	no	—
205	C₅×D₄	—	4	1	no	—
206	C₅×D₄	—	4	1	no	—
207	C₅×D₄	—	4	1	no	—
208	C₂×C₄×C₅	C₂²×C₃×C₄	1	1	yes	characteristic
209	C₂×C₄×C₅	C₂×C₃×D₄	1	1	yes	characteristic
210	C₂×C₄×C₅	C₂×C₃×D₄	1	1	yes	characteristic
211	C₂²⋊D₅	—	4	4	no	—
212	C₂×Dic₅	—	2	2	no	—
213	C₂×Dic₅	—	4	4	no	—
214	C₂×Dic₅	C₃×C₂²⋊C₄	1	1	yes	characteristic
215	C₂×Dic₅	C₃×C₂²⋊C₄	1	1	yes	characteristic
216	C₂×Dic₅	C₃×C₂²⋊C₄	1	1	yes	characteristic
217	C₄×D₅	—	2	1	no	—
218	C₄×D₅	—	2	1	no	—
219	C₄×D₅	—	4	1	no	—
220	C₄×D₅	C₃×D₈	1	2	yes	—
221	C₄×D₅	C₃×SD₁₆	1	2	yes	—
222	Dic₁₀	—	4	1	no	—
223	Dic₁₀	—	4	1	no	—
224	C₅×C₈	—	4	1	no	—
225	C₅×C₈	—	4	1	no	—
226	#168	—	4	1	no	—
227	#168	—	4	1	no	—
228	C₂×#41	—	10	1	no	—
229	C₂×M₁₆	—	10	1	no	—
230	C₂²×C₈	—	10	1	no	—
231	C₄⋊Q₈	—	5	1	no	—
232	#127	C₂×C₃×D₅	1	1	yes	characteristic
233	#124	—	10	1	no	—
234	#121	—	5	2	no	—
235	#121	—	10	1	no	—
236	C₄×D₄	—	5	2	no	—
237	C₄×D₄	—	10	1	no	—
238	C₂×C₄²	—	5	1	no	—
239	C₄⋊C₈	—	5	1	no	—
240	C₄⋊C₈	—	5	1	no	—
241	C₄⋊C₈	—	10	1	no	—
242	C₄⋊C₈	—	10	1	no	—
243	C₄⋊C₈	C₂×C₃×D₅	1	1	yes	characteristic
244	C₄⋊C₈	C₂×C₃×D₅	1	1	yes	characteristic
245	C₂×C₃×C₅	—	8	2	no	—
246	C₂×C₃×C₅	#413	1	1	yes	characteristic
247	C₂×C₃×C₅	C₂×#102	1	1	yes	characteristic
248	C₂×C₃×C₅	#417	1	1	yes	characteristic
249	C₃×D₅	—	2	2	no	—
250	C₂³×C₃	—	2	2	no	—
251	C₂³×C₃	—	5	1	no	—
252	C₃×Q₈	—	20	1	no	—
253	C₃×Q₈	—	20	1	no	—
254	C₃×D₄	—	4	2	no	—
255	C₃×D₄	—	4	1	no	—
256	C₃×D₄	—	4	1	no	—
257	C₃×D₄	—	4	1	no	—
258	C₃×D₄	—	4	1	no	—
259	C₃×D₄	—	20	4	no	—
260	C₂×C₃×C₄	—	5	1	no	—
261	C₂×C₃×C₄	—	5	2	no	—
262	C₂×C₃×C₄	—	5	2	no	—
263	C₂×C₃×C₄	—	5	1	no	—
264	C₂×C₃×C₄	—	5	1	no	—
265	C₂×C₃×C₄	—	10	1	no	—
266	C₂×C₃×C₄	—	10	1	no	—
267	C₂×C₃×C₄	—	10	2	no	—
268	C₂×C₃×C₄	—	20	1	no	—
269	C₂×C₃×C₄	—	20	4	no	—
270	C₂×C₃×C₄	C₂×C₄×D₅	1	1	yes	characteristic
271	C₂×C₃×C₄	D₄×D₅	1	1	yes	characteristic
272	C₂×C₃×C₄	D₄×D₅	1	1	yes	characteristic
273	C₃×C₈	—	4	1	no	—
274	C₃×C₈	—	4	1	no	—
275	C₃×C₈	—	20	1	no	—
276	C₃×C₈	—	20	1	no	—
277	C₂²×C₅	—	4	2	no	—
278	C₂²×C₅	—	4	2	no	—
279	C₂²×C₅	—	4	2	no	—
280	C₂²×C₅	C₂×C₃×C₂²⋊C₄	1	1	yes	characteristic
281	C₂×D₅	—	2	1	no	—
282	C₂×D₅	—	2	1	no	—
283	C₂×D₅	C₃×#102	1	2	yes	—
284	C₄×C₅	—	2	1	no	—
285	C₄×C₅	C₂×C₃×D₈	1	1	yes	characteristic
286	C₄×C₅	C₂×C₃×SD₁₆	1	1	yes	characteristic
287	C₄×C₅	C₃×AGL(1,ℤ/8)	1	1	yes	characteristic
288	C₄×C₅	C₃×#137	1	1	yes	characteristic
289	Dic₅	—	2	1	no	—
290	Dic₅	—	2	1	no	—
291	Dic₅	—	4	2	no	—
292	Dic₅	C₃×#102	1	2	yes	—
293	#41	—	20	2	no	—
294	#41	—	20	2	no	—
295	C₂×Q₈	—	10	1	no	—
296	C₂×D₄	—	2	1	no	—
297	C₂×D₄	—	2	1	no	—
298	C₂×D₄	—	10	2	no	—
299	C₂×D₄	C₃×C₄×D₅	1	2	yes	—
300	C₂²×C₄	—	5	1	no	—
301	C₂²×C₄	—	5	1	no	—
302	C₂²×C₄	—	5	1	no	—
303	C₂²×C₄	—	10	2	no	—
304	M₁₆	—	20	2	no	—
305	C₂×C₈	—	2	1	no	—
306	C₂×C₈	—	2	1	no	—
307	C₂×C₈	—	10	1	no	—
308	C₂×C₈	—	10	1	no	—
309	C₂×C₈	—	20	2	no	—
310	C₄⋊C₄	—	5	2	no	—
311	C₄⋊C₄	—	10	1	no	—
312	C₂²⋊C₄	—	10	2	no	—
313	C₂²⋊C₄	—	10	2	no	—
314	C₄²	—	5	1	no	—
315	C₄²	—	5	1	no	—
316	C₄²	—	5	1	no	—
317	C₄²	C₂²×C₃×D₅	1	1	yes	characteristic
318	C₃×C₅	#1547	1	1	yes	characteristic, complemented, Hall
319	C₂²×C₃	—	4	2	no	—
320	C₂²×C₃	—	4	2	no	—
321	C₂²×C₃	—	4	2	no	—
322	C₂²×C₃	—	5	2	no	—
323	C₂²×C₃	—	10	1	no	—
324	C₂²×C₃	—	10	1	no	—
325	C₂²×C₃	D₅×C₂²⋊C₄	1	1	yes	characteristic
326	C₃×C₄	—	2	1	no	—
327	C₃×C₄	—	5	2	no	—
328	C₃×C₄	—	10	1	no	—
329	C₃×C₄	—	10	1	no	—
330	C₃×C₄	—	20	2	no	—
331	C₃×C₄	D₅×D₈	1	1	yes	characteristic
332	C₃×C₄	#4057	1	1	yes	characteristic
333	C₃×C₄	D₅×SD₁₆	1	1	yes	characteristic
334	C₃×C₄	#4061	1	1	yes	characteristic
335	C₂×C₅	—	8	2	no	—
336	C₂×C₅	C₃×#413	1	1	yes	characteristic
337	C₂×C₅	C₂×C₃×#102	1	1	yes	characteristic
338	C₂×C₅	C₃×#417	1	1	yes	characteristic
339	D₅	—	2	2	no	—
340	C₂³	—	2	2	no	—
341	C₂³	—	5	1	no	—
342	Q₈	—	20	1	no	—
343	Q₈	—	20	1	no	—
344	D₄	—	4	2	no	—
345	D₄	—	4	1	no	—
346	D₄	—	4	1	no	—
347	D₄	—	4	1	no	—
348	D₄	—	4	1	no	—
349	D₄	—	20	4	no	—
350	C₂×C₄	—	5	1	no	—
351	C₂×C₄	—	5	2	no	—
352	C₂×C₄	—	5	2	no	—
353	C₂×C₄	—	5	1	no	—
354	C₂×C₄	—	5	1	no	—
355	C₂×C₄	—	10	1	no	—
356	C₂×C₄	—	10	1	no	—
357	C₂×C₄	—	10	2	no	—
358	C₂×C₄	—	20	1	no	—
359	C₂×C₄	—	20	4	no	—
360	C₂×C₄	C₂×C₃×C₄×D₅	1	1	yes	characteristic
361	C₂×C₄	C₃×D₄×D₅	1	1	yes	characteristic
362	C₂×C₄	C₃×D₄×D₅	1	1	yes	characteristic
363	C₈	—	4	1	no	—
364	C₈	—	4	1	no	—
365	C₈	—	20	1	no	—
366	C₈	—	20	1	no	—
367	C₂×C₃	—	8	2	no	—
368	C₂×C₃	—	10	2	no	—
369	C₂×C₃	#65034	1	1	yes	characteristic
370	C₂×C₃	D₅×#102	1	1	yes	characteristic
371	C₂×C₃	#65060	1	1	yes	characteristic
372	C₅	C₃×#1547	1	1	yes	characteristic, complemented, Sylow
373	C₂²	—	4	2	no	—
374	C₂²	—	4	2	no	—
375	C₂²	—	4	2	no	—
376	C₂²	—	5	2	no	—
377	C₂²	—	10	1	no	—
378	C₂²	—	10	1	no	—
379	C₂²	C₃×D₅×C₂²⋊C₄	1	1	yes	characteristic
380	C₄	—	2	1	no	—
381	C₄	—	5	2	no	—
382	C₄	—	10	1	no	—
383	C₄	—	10	1	no	—
384	C₄	—	20	2	no	—
385	C₄	C₃×D₅×D₈	1	1	yes	characteristic
386	C₄	C₃×#4057	1	1	yes	characteristic
387	C₄	C₃×D₅×SD₁₆	1	1	yes	characteristic
388	C₄	C₃×#4061	1	1	yes	characteristic
389	C₃	#10599177	1	1	yes	characteristic, direct product factor, Sylow
390	C₂	—	8	2	no	—
391	C₂	—	10	2	no	—
392	C₂	C₃×#65034	1	1	yes	characteristic
393	C₂	C₃×D₅×#102	1	1	yes	characteristic
394	C₂	C₃×#65060	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₃	D₅×C₂²⋊C₄
commutator	C₂×C₄×C₅	C₂²×C₃×C₄
Frattini	C₄²	C₂²×C₃×D₅
Fitting	C₃×C₅×#331	C₂
socle	C₂²×C₃×C₅	C₂×C₂²⋊C₄
prime radical	C₃×#66050	C₂
cosocle	C₄²×C₅	C₂³×C₃
hypercenter	C₃×#331	D₅
hypocenter	C₅	C₃×#1547
LCS	G ▷ C₂×C₄×C₅ ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×C₄² ◁ C₃×#331

Complements

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

N	H ≅ G/N	type
2. C₃×#65126	C₂	semidirect
3. C₃×D₅×C₄⋊C₈	C₂	semidirect
4. C₃×C₅×#331	C₂	semidirect
5. C₃×#64764	C₂	semidirect
6. C₃×#64706	C₂	semidirect
7. C₃×#64702	C₂	semidirect
8. #10599177	C₃	direct (N × H)
28. #65126	C₂×C₃	semidirect
29. D₅×C₄⋊C₈	C₂×C₃	semidirect
30. C₅×#331	C₂×C₃	semidirect
31. #64764	C₂×C₃	semidirect
32. #64706	C₂×C₃	semidirect
33. #64702	C₂×C₃	semidirect
65. C₃×#331	D₅	semidirect
159. #331	C₃×D₅	semidirect
318. C₃×C₅	#1547	semidirect
372. C₅	C₃×#1547	semidirect
389. C₃	#10599177	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×#66050	2
C₃×#65126	2
C₃×D₅×C₄⋊C₈	2
C₃×C₅×#331	2
C₃×#64764	2
C₃×#64706	2
C₃×#64702	2
#10599177	3
C₃×#1547	5

Subgroups — C3×#10599177 #14284840

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#10599177 #14284840