Subgroups — C₅×D₃×#382 #14319966

Order 1920.

1424 conjugacy classes of subgroups.

The subgroup lattice has 336 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×D₃×C₄⋊C₄	C₂	1	2	yes	maximal
2	C₂×C₄²×C₅×D₃	C₂	1	1	yes	maximal, characteristic
3	C₃×C₅×#382	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅×#4977	C₂	1	2	yes	maximal, complemented
5	C₅×#4936	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅×D₃×#95	C₂	1	4	yes	maximal
7	C₅×#4650	C₂	1	4	yes	maximal, complemented
8	C₂×C₅×#382	—	3	1	no	maximal, Hall
9	C₂²×C₄×C₅×D₃	C₂²	1	4	yes	—
10	C₂²×C₄×C₅×D₃	C₂²	1	2	yes	—
11	C₂²×C₄×C₅×D₃	C₂²	1	1	yes	characteristic
12	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	2	yes	—
13	C₂×C₃×C₄²×C₅	C₂²	1	1	yes	characteristic
14	C₂×C₅×C₄⋊Dic₃	C₂²	1	2	yes	—
15	C₂×C₅×Dic₃⋊C₄	C₂²	1	4	yes	—
16	C₂×C₄×C₅×Dic₃	C₂²	1	2	yes	—
17	C₂×C₄×C₅×Dic₃	C₂²	1	1	yes	characteristic
18	C₅×D₃×C₄⋊C₄	—	2	8	no	—
19	C₄²×C₅×D₃	C₄	1	8	yes	complemented
20	C₃×C₅×#95	C₂²	1	4	yes	—
21	C₅×C₃⋊#95	C₂²	1	4	yes	—
22	C₅×C₃⋊#95	C₂²	1	8	yes	—
23	D₃×#382	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
24	C₂²×C₅×C₄⋊C₄	—	3	2	no	—
25	C₂²×C₄²×C₅	—	3	1	no	—
26	C₅×#382	—	3	4	no	—
27	C₅×#382	—	3	2	no	—
28	C₅×#382	—	3	1	no	—
29	C₅×#382	D₃	1	1	yes	characteristic, direct product factor
30	C₂×C₅×#95	—	3	4	no	—
31	C₂³×C₅×D₃	C₂³	1	1	yes	characteristic
32	C₂²×C₃×C₄×C₅	C₂³	1	4	yes	—
33	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
34	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
35	C₂²×C₅×Dic₃	C₂³	1	4	yes	—
36	C₂²×C₅×Dic₃	C₂³	1	2	yes	—
37	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
38	C₂×C₄×C₅×D₃	—	2	8	no	—
39	C₂×C₄×C₅×D₃	—	2	8	no	—
40	C₂×C₄×C₅×D₃	—	2	16	no	—
41	C₂×C₄×C₅×D₃	C₂×C₄	1	8	yes	—
42	C₂×C₄×C₅×D₃	C₂×C₄	1	4	yes	—
43	C₂×C₄×C₅×D₃	D₄	1	4	yes	—
44	C₂×C₄×C₅×D₃	Q₈	1	4	yes	—
45	C₃×C₅×C₄⋊C₄	—	2	4	no	—
46	C₃×C₄²×C₅	C₂×C₄	1	4	yes	complemented
47	C₅×C₄⋊Dic₃	—	2	4	no	—
48	C₅×Dic₃⋊C₄	—	2	8	no	—
49	C₄×C₅×Dic₃	C₂×C₄	1	4	yes	complemented
50	C₄×C₅×Dic₃	C₂×C₄	1	8	yes	complemented
51	C₂×D₃×C₄⋊C₄	C₂×C₅	1	2	yes	—
52	C₂×C₄²×D₃	C₂×C₅	1	1	yes	characteristic
53	C₃×#382	C₂×C₅	1	1	yes	characteristic, complemented
54	#4977	C₂×C₅	1	2	yes	complemented
55	#4936	C₂×C₅	1	1	yes	characteristic, complemented
56	D₃×#95	C₂×C₅	1	4	yes	—
57	#4650	C₂×C₅	1	4	yes	complemented
58	C₂³×C₄×C₅	—	3	1	no	—
59	C₂³×C₄×C₅	—	3	2	no	—
60	C₂³×C₄×C₅	—	3	4	no	—
61	C₂×C₅×C₄⋊C₄	—	3	4	no	—
62	C₂×C₅×C₄⋊C₄	—	3	2	no	—
63	C₂×C₅×C₄⋊C₄	—	6	8	no	—
64	C₂×C₅×C₄⋊C₄	C₂×D₃	1	2	yes	—
65	C₂×C₄²×C₅	—	3	2	no	—
66	C₂×C₄²×C₅	—	3	1	no	—
67	C₂×C₄²×C₅	—	3	8	no	—
68	C₂×C₄²×C₅	C₂×D₃	1	1	yes	characteristic
69	C₅×#95	—	3	8	no	—
70	C₅×#95	—	3	4	no	—
71	C₅×#95	C₂×D₃	1	4	yes	—
72	C₂×#382	—	3	1	no	Sylow
73	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
74	C₂²×C₅×D₃	C₂²×C₄	1	2	yes	—
75	C₂²×C₅×D₃	C₂×D₄	1	2	yes	—
76	C₂²×C₅×D₃	C₂×Q₈	1	2	yes	—
77	C₂²×C₅×D₃	#41	1	8	yes	—
78	C₂×C₃×C₄×C₅	—	2	4	no	—
79	C₂×C₃×C₄×C₅	—	2	4	no	—
80	C₂×C₃×C₄×C₅	—	2	8	no	—
81	C₂×C₃×C₄×C₅	C₂²×C₄	1	4	yes	—
82	C₂×C₃×C₄×C₅	C₂²×C₄	1	2	yes	—
83	C₂×C₃×C₄×C₅	C₂×D₄	1	2	yes	—
84	C₂×C₃×C₄×C₅	C₂×Q₈	1	2	yes	—
85	C₂×C₅×Dic₃	—	2	4	no	—
86	C₂×C₅×Dic₃	—	2	4	no	—
87	C₂×C₅×Dic₃	—	2	8	no	—
88	C₂×C₅×Dic₃	C₂²×C₄	1	4	yes	—
89	C₂×C₅×Dic₃	C₂²×C₄	1	2	yes	—
90	C₂×C₅×Dic₃	C₂×D₄	1	2	yes	—
91	C₂×C₅×Dic₃	C₂×Q₈	1	2	yes	—
92	C₄×C₅×D₃	—	2	16	no	—
93	C₄×C₅×D₃	—	4	16	no	—
94	C₄×C₅×D₃	C₄⋊C₄	1	16	yes	—
95	C₂²×C₄×D₃	C₂²×C₅	1	4	yes	—
96	C₂²×C₄×D₃	C₂²×C₅	1	2	yes	—
97	C₂²×C₄×D₃	C₂²×C₅	1	1	yes	characteristic
98	C₂×C₃×C₄⋊C₄	C₂²×C₅	1	2	yes	—
99	C₂×C₃×C₄²	C₂²×C₅	1	1	yes	characteristic
100	C₂×C₄⋊Dic₃	C₂²×C₅	1	2	yes	—
101	C₂×Dic₃⋊C₄	C₂²×C₅	1	4	yes	—
102	C₂×C₄×Dic₃	C₂²×C₅	1	2	yes	—
103	C₂×C₄×Dic₃	C₂²×C₅	1	1	yes	characteristic
104	D₃×C₄⋊C₄	—	2	8	no	—
105	C₄²×D₃	C₄×C₅	1	8	yes	complemented
106	C₃×#95	C₂²×C₅	1	4	yes	—
107	C₃⋊#95	C₂²×C₅	1	4	yes	—
108	C₃⋊#95	C₂²×C₅	1	8	yes	—
109	C₂⁴×C₅	—	3	1	no	—
110	C₂²×C₄×C₅	—	3	1	no	—
111	C₂²×C₄×C₅	—	3	4	no	—
112	C₂²×C₄×C₅	—	3	4	no	—
113	C₂²×C₄×C₅	—	3	4	no	—
114	C₂²×C₄×C₅	—	3	2	no	—
115	C₂²×C₄×C₅	—	3	8	no	—
116	C₂²×C₄×C₅	—	3	4	no	—
117	C₂²×C₄×C₅	—	6	8	no	—
118	C₂²×C₄×C₅	—	6	8	no	—
119	C₂²×C₄×C₅	—	6	16	no	—
120	C₂²×C₄×C₅	C₂²×D₃	1	4	yes	—
121	C₂²×C₄×C₅	C₂²×D₃	1	2	yes	—
122	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
123	C₅×C₄⋊C₄	—	2	4	no	—
124	C₅×C₄⋊C₄	—	6	8	no	—
125	C₅×C₄⋊C₄	—	6	4	no	—
126	C₄²×C₅	—	3	8	no	—
127	C₄²×C₅	—	3	4	no	—
128	C₄²×C₅	C₄×D₃	1	4	yes	complemented
129	C₂²×C₄⋊C₄	—	3	2	no	—
130	C₂²×C₄²	—	3	1	no	—
131	#382	—	3	2	no	—
132	#382	—	3	1	no	—
133	#382	—	3	4	no	—
134	#382	C₅×D₃	1	1	yes	characteristic, direct product factor
135	C₂×#95	—	3	4	no	—
136	C₂²×C₃×C₅	C₂³×C₄	1	1	yes	characteristic
137	C₂²×C₃×C₅	C₂²×D₄	1	1	yes	characteristic
138	C₂²×C₃×C₅	C₂²×Q₈	1	1	yes	characteristic
139	C₂²×C₃×C₅	C₂×#41	1	4	yes	—
140	C₂×C₅×D₃	C₂×C₄⋊C₄	1	4	yes	—
141	C₂×C₅×D₃	#117	1	8	yes	—
142	C₂×C₅×D₃	#124	1	8	yes	—
143	C₂×C₅×D₃	#125	1	8	yes	—
144	C₃×C₄×C₅	—	2	4	no	—
145	C₃×C₄×C₅	—	4	4	no	—
146	C₃×C₄×C₅	C₂×C₄⋊C₄	1	4	yes	—
147	C₅×Dic₃	—	2	4	no	—
148	C₅×Dic₃	—	4	4	no	—
149	C₅×Dic₃	C₂×C₄⋊C₄	1	4	yes	—
150	C₂³×D₃	C₂³×C₅	1	1	yes	characteristic
151	C₂²×C₃×C₄	C₂³×C₅	1	4	yes	—
152	C₂²×C₃×C₄	C₂³×C₅	1	2	yes	—
153	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
154	C₂²×Dic₃	C₂³×C₅	1	4	yes	—
155	C₂²×Dic₃	C₂³×C₅	1	2	yes	—
156	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
157	C₂×C₄×D₃	—	2	8	no	—
158	C₂×C₄×D₃	—	2	8	no	—
159	C₂×C₄×D₃	—	2	16	no	—
160	C₂×C₄×D₃	C₂×C₄×C₅	1	8	yes	—
161	C₂×C₄×D₃	C₂×C₄×C₅	1	4	yes	—
162	C₂×C₄×D₃	C₅×D₄	1	4	yes	—
163	C₂×C₄×D₃	C₅×Q₈	1	4	yes	—
164	C₃×C₄⋊C₄	—	2	4	no	—
165	C₃×C₄²	C₂×C₄×C₅	1	4	yes	complemented
166	C₄⋊Dic₃	—	2	4	no	—
167	Dic₃⋊C₄	—	2	8	no	—
168	C₄×Dic₃	C₂×C₄×C₅	1	4	yes	complemented
169	C₄×Dic₃	C₂×C₄×C₅	1	8	yes	complemented
170	C₂³×C₅	—	3	2	no	—
171	C₂³×C₅	—	3	2	no	—
172	C₂³×C₅	—	3	2	no	—
173	C₂³×C₅	—	3	8	no	—
174	C₂³×C₅	C₂³×D₃	1	1	yes	characteristic
175	C₂×C₄×C₅	—	2	4	no	—
176	C₂×C₄×C₅	—	2	4	no	—
177	C₂×C₄×C₅	—	2	8	no	—
178	C₂×C₄×C₅	—	3	2	no	—
179	C₂×C₄×C₅	—	3	2	no	—
180	C₂×C₄×C₅	—	3	2	no	—
181	C₂×C₄×C₅	—	3	16	no	—
182	C₂×C₄×C₅	—	3	4	no	—
183	C₂×C₄×C₅	—	6	16	no	—
184	C₂×C₄×C₅	—	6	4	no	—
185	C₂×C₄×C₅	—	6	4	no	—
186	C₂×C₄×C₅	—	6	8	no	—
187	C₂×C₄×C₅	—	12	16	no	—
188	C₂×C₄×C₅	C₂×C₄×D₃	1	4	yes	—
189	C₂×C₄×C₅	C₂×C₄×D₃	1	2	yes	—
190	C₂×C₄×C₅	D₃×D₄	1	2	yes	—
191	C₂×C₄×C₅	D₃×Q₈	1	2	yes	—
192	C₂³×C₄	—	3	1	no	—
193	C₂³×C₄	—	3	2	no	—
194	C₂³×C₄	—	3	4	no	—
195	C₂×C₄⋊C₄	—	3	4	no	—
196	C₂×C₄⋊C₄	—	3	2	no	—
197	C₂×C₄⋊C₄	—	6	8	no	—
198	C₂×C₄⋊C₄	C₂×C₅×D₃	1	2	yes	—
199	C₂×C₄²	—	3	2	no	—
200	C₂×C₄²	—	3	1	no	—
201	C₂×C₄²	—	3	8	no	—
202	C₂×C₄²	C₂×C₅×D₃	1	1	yes	characteristic
203	#95	—	3	8	no	—
204	#95	—	3	4	no	—
205	#95	C₂×C₅×D₃	1	4	yes	—
206	C₂×C₃×C₅	C₂²×C₄⋊C₄	1	1	yes	characteristic
207	C₂×C₃×C₅	C₂×#117	1	2	yes	—
208	C₂×C₃×C₅	C₂×#124	1	2	yes	—
209	C₂×C₃×C₅	C₂×#125	1	2	yes	—
210	C₅×D₃	#382	1	8	yes	direct product factor
211	C₂³×C₃	C₂⁴×C₅	1	1	yes	characteristic
212	C₂²×D₃	C₂²×C₄×C₅	1	2	yes	—
213	C₂²×D₃	C₂×C₅×D₄	1	2	yes	—
214	C₂²×D₃	C₂×C₅×Q₈	1	2	yes	—
215	C₂²×D₃	C₅×#41	1	8	yes	—
216	C₂×C₃×C₄	—	2	4	no	—
217	C₂×C₃×C₄	—	2	4	no	—
218	C₂×C₃×C₄	—	2	8	no	—
219	C₂×C₃×C₄	C₂²×C₄×C₅	1	4	yes	—
220	C₂×C₃×C₄	C₂²×C₄×C₅	1	2	yes	—
221	C₂×C₃×C₄	C₂×C₅×D₄	1	2	yes	—
222	C₂×C₃×C₄	C₂×C₅×Q₈	1	2	yes	—
223	C₂×Dic₃	—	2	4	no	—
224	C₂×Dic₃	—	2	4	no	—
225	C₂×Dic₃	—	2	8	no	—
226	C₂×Dic₃	C₂²×C₄×C₅	1	4	yes	—
227	C₂×Dic₃	C₂²×C₄×C₅	1	2	yes	—
228	C₂×Dic₃	C₂×C₅×D₄	1	2	yes	—
229	C₂×Dic₃	C₂×C₅×Q₈	1	2	yes	—
230	C₄×D₃	—	2	16	no	—
231	C₄×D₃	—	4	16	no	—
232	C₄×D₃	C₅×C₄⋊C₄	1	16	yes	—
233	C₂²×C₅	—	3	8	no	—
234	C₂²×C₅	—	3	8	no	—
235	C₂²×C₅	—	3	4	no	—
236	C₂²×C₅	—	3	8	no	—
237	C₂²×C₅	C₂²×C₄×D₃	1	1	yes	characteristic
238	C₂²×C₅	C₂×D₃×D₄	1	1	yes	characteristic
239	C₂²×C₅	C₂×D₃×Q₈	1	1	yes	characteristic
240	C₂²×C₅	D₃×#41	1	4	yes	—
241	C₄×C₅	—	2	4	no	—
242	C₄×C₅	—	3	4	no	—
243	C₄×C₅	—	4	4	no	—
244	C₄×C₅	—	6	4	no	—
245	C₄×C₅	—	12	4	no	—
246	C₄×C₅	D₃×C₄⋊C₄	1	4	yes	—
247	C₂⁴	—	3	1	no	—
248	C₂²×C₄	—	3	1	no	—
249	C₂²×C₄	—	3	4	no	—
250	C₂²×C₄	—	3	4	no	—
251	C₂²×C₄	—	3	4	no	—
252	C₂²×C₄	—	3	2	no	—
253	C₂²×C₄	—	3	8	no	—
254	C₂²×C₄	—	3	4	no	—
255	C₂²×C₄	—	6	8	no	—
256	C₂²×C₄	—	6	8	no	—
257	C₂²×C₄	—	6	16	no	—
258	C₂²×C₄	C₂²×C₅×D₃	1	4	yes	—
259	C₂²×C₄	C₂²×C₅×D₃	1	2	yes	—
260	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
261	C₄⋊C₄	—	2	4	no	—
262	C₄⋊C₄	—	6	8	no	—
263	C₄⋊C₄	—	6	4	no	—
264	C₄²	—	3	8	no	—
265	C₄²	—	3	4	no	—
266	C₄²	C₄×C₅×D₃	1	4	yes	complemented
267	C₃×C₅	C₂×#382	1	1	yes	characteristic, complemented, Hall
268	C₂²×C₃	C₂³×C₄×C₅	1	1	yes	characteristic
269	C₂²×C₃	C₂²×C₅×D₄	1	1	yes	characteristic
270	C₂²×C₃	C₂²×C₅×Q₈	1	1	yes	characteristic
271	C₂²×C₃	C₂×C₅×#41	1	4	yes	—
272	C₂×D₃	C₂×C₅×C₄⋊C₄	1	4	yes	—
273	C₂×D₃	C₅×#117	1	8	yes	—
274	C₂×D₃	C₅×#124	1	8	yes	—
275	C₂×D₃	C₅×#125	1	8	yes	—
276	C₃×C₄	—	2	4	no	—
277	C₃×C₄	—	4	4	no	—
278	C₃×C₄	C₂×C₅×C₄⋊C₄	1	4	yes	—
279	Dic₃	—	2	4	no	—
280	Dic₃	—	4	4	no	—
281	Dic₃	C₂×C₅×C₄⋊C₄	1	4	yes	—
282	C₂×C₅	—	3	8	no	—
283	C₂×C₅	C₂×D₃×C₄⋊C₄	1	1	yes	characteristic
284	C₂×C₅	D₃×#117	1	2	yes	—
285	C₂×C₅	D₃×#124	1	2	yes	—
286	C₂×C₅	D₃×#125	1	2	yes	—
287	C₂³	—	3	2	no	—
288	C₂³	—	3	2	no	—
289	C₂³	—	3	2	no	—
290	C₂³	—	3	8	no	—
291	C₂³	C₂³×C₅×D₃	1	1	yes	characteristic
292	C₂×C₄	—	2	4	no	—
293	C₂×C₄	—	2	4	no	—
294	C₂×C₄	—	2	8	no	—
295	C₂×C₄	—	3	2	no	—
296	C₂×C₄	—	3	2	no	—
297	C₂×C₄	—	3	2	no	—
298	C₂×C₄	—	3	16	no	—
299	C₂×C₄	—	3	4	no	—
300	C₂×C₄	—	6	16	no	—
301	C₂×C₄	—	6	4	no	—
302	C₂×C₄	—	6	4	no	—
303	C₂×C₄	—	6	8	no	—
304	C₂×C₄	—	12	16	no	—
305	C₂×C₄	C₂×C₄×C₅×D₃	1	4	yes	—
306	C₂×C₄	C₂×C₄×C₅×D₃	1	2	yes	—
307	C₂×C₄	C₅×D₃×D₄	1	2	yes	—
308	C₂×C₄	C₅×D₃×Q₈	1	2	yes	—
309	C₂×C₃	C₂²×C₅×C₄⋊C₄	1	1	yes	characteristic
310	C₂×C₃	C₂×C₅×#117	1	2	yes	—
311	C₂×C₃	C₂×C₅×#124	1	2	yes	—
312	C₂×C₃	C₂×C₅×#125	1	2	yes	—
313	D₃	C₅×#382	1	8	yes	direct product factor
314	C₅	D₃×#382	1	1	yes	characteristic, direct product factor, Sylow
315	C₂²	—	3	8	no	—
316	C₂²	—	3	8	no	—
317	C₂²	—	3	4	no	—
318	C₂²	—	3	8	no	—
319	C₂²	C₂²×C₄×C₅×D₃	1	1	yes	characteristic
320	C₂²	C₂×C₅×D₃×D₄	1	1	yes	characteristic
321	C₂²	C₂×C₅×D₃×Q₈	1	1	yes	characteristic
322	C₂²	C₅×D₃×#41	1	4	yes	—
323	C₄	—	2	4	no	—
324	C₄	—	3	4	no	—
325	C₄	—	4	4	no	—
326	C₄	—	6	4	no	—
327	C₄	—	12	4	no	—
328	C₄	C₅×D₃×C₄⋊C₄	1	4	yes	—
329	C₃	C₂×C₅×#382	1	1	yes	characteristic, complemented, Sylow
330	C₂	—	3	8	no	—
331	C₂	C₂×C₅×D₃×C₄⋊C₄	1	1	yes	characteristic
332	C₂	C₅×D₃×#117	1	2	yes	—
333	C₂	C₅×D₃×#124	1	2	yes	—
334	C₂	C₅×D₃×#125	1	2	yes	—

	subgroup	G/H
center	C₂³×C₅	C₂³×D₃
commutator	C₂²×C₃	C₂³×C₄×C₅
Frattini	C₂³	C₂³×C₅×D₃
Fitting	C₃×C₅×#382	C₂
socle	C₂³×C₃×C₅	C₂⁴
prime radical	C₂³×C₅×D₃	C₂³
cosocle	C₂³×C₃	C₂⁴×C₅
hypercenter	C₅×#382	D₃
hypocenter	C₃	C₂×C₅×#382
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂³×C₅ ◁ C₅×#382

Complements

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

N	H ≅ G/N	type
3. C₃×C₅×#382	C₂	semidirect
4. C₅×#4977	C₂	semidirect
5. C₅×#4936	C₂	semidirect
7. C₅×#4650	C₂	semidirect
19. C₄²×C₅×D₃	C₄	semidirect
23. D₃×#382	C₅	direct (N × H)
29. C₅×#382	D₃	direct (N × H)
46. C₃×C₄²×C₅	C₂×C₄	semidirect
49. C₄×C₅×Dic₃	C₂×C₄	semidirect
50. C₄×C₅×Dic₃	C₂×C₄	semidirect
53. C₃×#382	C₂×C₅	semidirect
54. #4977	C₂×C₅	semidirect
55. #4936	C₂×C₅	semidirect
57. #4650	C₂×C₅	semidirect
105. C₄²×D₃	C₄×C₅	semidirect
128. C₄²×C₅	C₄×D₃	semidirect
134. #382	C₅×D₃	direct (N × H)
165. C₃×C₄²	C₂×C₄×C₅	semidirect
168. C₄×Dic₃	C₂×C₄×C₅	semidirect
169. C₄×Dic₃	C₂×C₄×C₅	semidirect
210. C₅×D₃	#382	direct (N × H)
266. C₄²	C₄×C₅×D₃	semidirect
267. C₃×C₅	C₂×#382	semidirect
313. D₃	C₅×#382	direct (N × H)
314. C₅	D₃×#382	direct (N × H)
329. C₃	C₂×C₅×#382	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₅×D₃×C₄⋊C₄	2
C₂×C₄²×C₅×D₃	2
C₃×C₅×#382	2
C₅×#4977	2
C₅×#4936	2
C₅×D₃×#95	2
C₅×#4650	2
C₂×C₅×#382	3
D₃×#382	5

Subgroups — C5×D3×#382 #14319966

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×D₃×#382 #14319966