Subgroups — C₂×C₅×#1939 #11943861

Order 1280.

1246 conjugacy classes of subgroups.

The subgroup lattice has 348 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₅×C₄⋊C₈	C₂	1	2	yes	maximal
2	C₂²×C₅×C₄⋊C₈	C₂	1	1	yes	maximal, characteristic
3	C₂²×C₄×C₅×C₈	C₂	1	1	yes	maximal, characteristic
4	C₂×C₄×C₅×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic
5	C₅×#1939	C₂	1	8	yes	maximal, direct product factor
6	C₂×C₅×#336	C₂	1	2	yes	maximal
7	C₂³×C₅×C₈	C₂²	1	2	yes	—
8	C₂³×C₅×C₈	C₂²	1	1	yes	characteristic
9	C₂³×C₅×C₈	C₂²	1	1	yes	characteristic
10	C₂²×C₅×C₄⋊C₄	C₄	1	1	yes	characteristic
11	C₂²×C₅×C₄⋊C₄	C₄	1	1	yes	characteristic
12	C₂²×C₄²×C₅	C₂²	1	2	yes	—
13	C₂²×C₄²×C₅	C₂²	1	1	yes	characteristic
14	C₂×C₅×C₄⋊C₈	—	2	8	no	—
15	C₂×C₅×C₄⋊C₈	—	2	4	no	—
16	C₂×C₅×C₄⋊C₈	C₂²	1	8	yes	—
17	C₂×C₅×C₄⋊C₈	C₂²	1	4	yes	—
18	C₂×C₄×C₅×C₈	—	2	4	no	—
19	C₂×C₄×C₅×C₈	C₂²	1	4	yes	—
20	C₄×C₅×C₄⋊C₄	C₄	1	4	yes	—
21	C₄×C₅×C₄⋊C₄	C₂²	1	4	yes	—
22	C₂×C₅×#95	C₄	1	2	yes	—
23	C₅×#336	C₂²	1	8	yes	—
24	C₂×#1939	C₅	1	1	yes	maximal, characteristic, direct product factor, Sylow
25	C₂³×C₄×C₅	C₂×C₄	1	2	yes	—
26	C₂³×C₄×C₅	C₂×C₄	1	1	yes	characteristic
27	C₂³×C₄×C₅	C₂×C₄	1	2	yes	—
28	C₂³×C₄×C₅	C₂×C₄	1	1	yes	characteristic
29	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
30	C₂²×C₅×C₈	—	2	2	no	—
31	C₂²×C₅×C₈	—	2	2	no	—
32	C₂²×C₅×C₈	—	2	2	no	—
33	C₂²×C₅×C₈	—	2	2	no	—
34	C₂²×C₅×C₈	—	2	4	no	—
35	C₂²×C₅×C₈	—	2	4	no	—
36	C₂²×C₅×C₈	—	2	4	no	—
37	C₂²×C₅×C₈	D₄	1	4	yes	—
38	C₂²×C₅×C₈	Q₈	1	4	yes	—
39	C₂²×C₅×C₈	C₂³	1	4	yes	—
40	C₂²×C₅×C₈	C₂³	1	2	yes	—
41	C₂²×C₅×C₈	C₂³	1	2	yes	—
42	C₂×C₅×C₄⋊C₄	—	2	4	no	—
43	C₂×C₅×C₄⋊C₄	C₈	1	8	yes	complemented
44	C₂×C₅×C₄⋊C₄	C₂×C₄	1	4	yes	—
45	C₂×C₅×C₄⋊C₄	C₂×C₄	1	4	yes	—
46	C₂×C₄²×C₅	—	2	4	no	—
47	C₂×C₄²×C₅	—	2	4	no	—
48	C₂×C₄²×C₅	C₂×C₄	1	4	yes	—
49	C₂×C₄²×C₅	C₂×C₄	1	2	yes	—
50	C₂×C₄²×C₅	D₄	1	4	yes	—
51	C₂×C₄²×C₅	Q₈	1	4	yes	—
52	C₂×C₄²×C₅	C₂³	1	4	yes	—
53	C₂×C₄²×C₅	C₂³	1	2	yes	—
54	C₅×C₄⋊C₈	—	2	16	no	—
55	C₅×C₄⋊C₈	—	2	8	no	—
56	C₄×C₅×C₈	—	2	8	no	—
57	C₅×#95	C₂×C₄	1	8	yes	—
58	C₂²×C₄⋊C₈	C₂×C₅	1	1	yes	characteristic
59	C₂²×C₄⋊C₈	C₂×C₅	1	2	yes	—
60	C₂²×C₄×C₈	C₂×C₅	1	1	yes	characteristic
61	C₂×C₄×C₄⋊C₄	C₂×C₅	1	1	yes	characteristic
62	#1939	C₂×C₅	1	8	yes	direct product factor
63	C₂×#336	C₂×C₅	1	2	yes	—
64	C₂⁴×C₅	C₂²×C₄	1	1	yes	characteristic
65	C₂²×C₄×C₅	—	2	4	no	—
66	C₂²×C₄×C₅	—	2	2	no	—
67	C₂²×C₄×C₅	—	2	2	no	—
68	C₂²×C₄×C₅	—	2	4	no	—
69	C₂²×C₄×C₅	—	2	4	no	—
70	C₂²×C₄×C₅	—	2	4	no	—
71	C₂²×C₄×C₅	—	2	4	no	—
72	C₂²×C₄×C₅	C₄⋊C₄	1	4	yes	—
73	C₂²×C₄×C₅	C₄⋊C₄	1	4	yes	—
74	C₂²×C₄×C₅	C₂×C₈	1	8	yes	—
75	C₂²×C₄×C₅	C₂×C₈	1	4	yes	—
76	C₂²×C₄×C₅	M₁₆	1	4	yes	—
77	C₂²×C₄×C₅	C₂²×C₄	1	4	yes	—
78	C₂²×C₄×C₅	C₂²×C₄	1	2	yes	—
79	C₂²×C₄×C₅	C₂²×C₄	1	4	yes	—
80	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
81	C₂²×C₄×C₅	C₂²×C₄	1	2	yes	—
82	C₂²×C₄×C₅	C₂×D₄	1	2	yes	—
83	C₂²×C₄×C₅	C₂×D₄	1	2	yes	—
84	C₂²×C₄×C₅	C₂×Q₈	1	2	yes	—
85	C₂²×C₄×C₅	C₂×Q₈	1	2	yes	—
86	C₂²×C₄×C₅	#41	1	2	yes	—
87	C₂²×C₄×C₅	#41	1	2	yes	—
88	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
89	C₂×C₅×C₈	—	2	8	no	—
90	C₂×C₅×C₈	—	2	8	no	—
91	C₂×C₅×C₈	—	2	2	no	—
92	C₂×C₅×C₈	—	2	2	no	—
93	C₂×C₅×C₈	—	2	2	no	—
94	C₂×C₅×C₈	—	2	2	no	—
95	C₂×C₅×C₈	—	2	4	no	—
96	C₂×C₅×C₈	—	2	4	no	—
97	C₂×C₅×C₈	—	2	4	no	—
98	C₂×C₅×C₈	—	4	8	no	—
99	C₂×C₅×C₈	C₂×D₄	1	4	yes	—
100	C₂×C₅×C₈	C₂×Q₈	1	4	yes	—
101	C₅×C₄⋊C₄	—	2	8	no	—
102	C₅×C₄⋊C₄	C₂×C₈	1	16	yes	complemented
103	C₄²×C₅	—	2	8	no	—
104	C₄²×C₅	—	2	4	no	—
105	C₄²×C₅	—	2	4	no	—
106	C₄²×C₅	C₄⋊C₄	1	8	yes	—
107	C₄²×C₅	C₂×D₄	1	4	yes	—
108	C₄²×C₅	C₂×Q₈	1	4	yes	—
109	C₂³×C₈	C₂²×C₅	1	2	yes	—
110	C₂³×C₈	C₂²×C₅	1	1	yes	characteristic
111	C₂³×C₈	C₂²×C₅	1	1	yes	characteristic
112	C₂²×C₄⋊C₄	C₄×C₅	1	1	yes	characteristic
113	C₂²×C₄⋊C₄	C₄×C₅	1	1	yes	characteristic
114	C₂²×C₄²	C₂²×C₅	1	2	yes	—
115	C₂²×C₄²	C₂²×C₅	1	1	yes	characteristic
116	C₂×C₄⋊C₈	—	2	8	no	—
117	C₂×C₄⋊C₈	—	2	4	no	—
118	C₂×C₄⋊C₈	C₂²×C₅	1	8	yes	—
119	C₂×C₄⋊C₈	C₂²×C₅	1	4	yes	—
120	C₂×C₄×C₈	—	2	4	no	—
121	C₂×C₄×C₈	C₂²×C₅	1	4	yes	—
122	C₄×C₄⋊C₄	C₄×C₅	1	4	yes	—
123	C₄×C₄⋊C₄	C₂²×C₅	1	4	yes	—
124	C₂×#95	C₄×C₅	1	2	yes	—
125	#336	C₂²×C₅	1	8	yes	—
126	C₂³×C₅	C₂×C₄⋊C₄	1	2	yes	—
127	C₂³×C₅	C₄×D₄	1	2	yes	—
128	C₂³×C₅	C₄×Q₈	1	2	yes	—
129	C₂³×C₅	C₂²×C₈	1	2	yes	—
130	C₂³×C₅	C₂×M₁₆	1	2	yes	—
131	C₂³×C₅	#131	1	2	yes	—
132	C₂³×C₅	#131	1	2	yes	—
133	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
134	C₂×C₄×C₅	—	2	4	no	—
135	C₂×C₄×C₅	—	2	2	no	—
136	C₂×C₄×C₅	—	2	2	no	—
137	C₂×C₄×C₅	—	2	4	no	—
138	C₂×C₄×C₅	—	2	8	no	—
139	C₂×C₄×C₅	—	2	16	no	—
140	C₂×C₄×C₅	—	2	4	no	—
141	C₂×C₄×C₅	—	2	4	no	—
142	C₂×C₄×C₅	—	2	4	no	—
143	C₂×C₄×C₅	—	4	8	no	—
144	C₂×C₄×C₅	C₄⋊C₈	1	16	yes	complemented
145	C₂×C₄×C₅	C₂×C₄⋊C₄	1	4	yes	—
146	C₂×C₄×C₅	C₂×C₄⋊C₄	1	2	yes	—
147	C₂×C₄×C₅	C₂×C₄⋊C₄	1	4	yes	—
148	C₂×C₄×C₅	C₄×D₄	1	2	yes	—
149	C₂×C₄×C₅	C₄×Q₈	1	2	yes	—
150	C₂×C₄×C₅	#121	1	4	yes	—
151	C₂×C₄×C₅	C₂²⋊Q₈	1	4	yes	—
152	C₂×C₄×C₅	#125	1	4	yes	—
153	C₂×C₄×C₅	C₄⋊Q₈	1	4	yes	—
154	C₂×C₄×C₅	C₂²×C₈	1	8	yes	—
155	C₂×C₄×C₅	C₂²×C₈	1	4	yes	—
156	C₂×C₄×C₅	C₂×M₁₆	1	4	yes	—
157	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
158	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
159	C₂×C₄×C₅	C₂²×Q₈	1	1	yes	characteristic
160	C₂×C₄×C₅	C₂²×Q₈	1	1	yes	characteristic
161	C₂×C₄×C₅	C₂×#41	1	1	yes	characteristic
162	C₂×C₄×C₅	C₂×#41	1	1	yes	characteristic
163	C₅×C₈	—	2	4	no	—
164	C₅×C₈	—	2	4	no	—
165	C₅×C₈	—	4	4	no	—
166	C₂³×C₄	C₂×C₄×C₅	1	2	yes	—
167	C₂³×C₄	C₂×C₄×C₅	1	1	yes	characteristic
168	C₂³×C₄	C₂×C₄×C₅	1	2	yes	—
169	C₂³×C₄	C₂×C₄×C₅	1	1	yes	characteristic
170	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
171	C₂²×C₈	—	2	2	no	—
172	C₂²×C₈	—	2	2	no	—
173	C₂²×C₈	—	2	2	no	—
174	C₂²×C₈	—	2	2	no	—
175	C₂²×C₈	—	2	4	no	—
176	C₂²×C₈	—	2	4	no	—
177	C₂²×C₈	—	2	4	no	—
178	C₂²×C₈	C₅×D₄	1	4	yes	—
179	C₂²×C₈	C₅×Q₈	1	4	yes	—
180	C₂²×C₈	C₂³×C₅	1	4	yes	—
181	C₂²×C₈	C₂³×C₅	1	2	yes	—
182	C₂²×C₈	C₂³×C₅	1	2	yes	—
183	C₂×C₄⋊C₄	—	2	4	no	—
184	C₂×C₄⋊C₄	C₅×C₈	1	8	yes	complemented
185	C₂×C₄⋊C₄	C₂×C₄×C₅	1	4	yes	—
186	C₂×C₄⋊C₄	C₂×C₄×C₅	1	4	yes	—
187	C₂×C₄²	—	2	4	no	—
188	C₂×C₄²	—	2	4	no	—
189	C₂×C₄²	C₂×C₄×C₅	1	4	yes	—
190	C₂×C₄²	C₂×C₄×C₅	1	2	yes	—
191	C₂×C₄²	C₅×D₄	1	4	yes	—
192	C₂×C₄²	C₅×Q₈	1	4	yes	—
193	C₂×C₄²	C₂³×C₅	1	4	yes	—
194	C₂×C₄²	C₂³×C₅	1	2	yes	—
195	C₄⋊C₈	—	2	16	no	—
196	C₄⋊C₈	—	2	8	no	—
197	C₄×C₈	—	2	8	no	—
198	#95	C₂×C₄×C₅	1	8	yes	—
199	C₂²×C₅	#389	1	4	yes	—
200	C₂²×C₅	C₂×C₄⋊C₈	1	4	yes	—
201	C₂²×C₅	#424	1	4	yes	—
202	C₂²×C₅	C₈×D₄	1	4	yes	—
203	C₂²×C₅	#436	1	4	yes	—
204	C₂²×C₅	C₈×Q₈	1	4	yes	—
205	C₂²×C₅	#446	1	4	yes	—
206	C₂²×C₅	C₂²×C₄⋊C₄	1	1	yes	characteristic
207	C₂²×C₅	C₂×C₄×D₄	1	1	yes	characteristic
208	C₂²×C₅	C₂×C₄×Q₈	1	1	yes	characteristic
209	C₂²×C₅	C₂³×C₈	1	1	yes	characteristic
210	C₂²×C₅	C₂²×M₁₆	1	1	yes	characteristic
211	C₂²×C₅	C₂×#131	1	1	yes	characteristic
212	C₂²×C₅	C₂×#131	1	1	yes	characteristic
213	C₄×C₅	—	2	4	no	—
214	C₄×C₅	—	2	8	no	—
215	C₄×C₅	—	4	4	no	—
216	C₄×C₅	#389	1	4	yes	—
217	C₄×C₅	C₂×C₄⋊C₈	1	8	yes	complemented
218	C₄×C₅	C₂×#121	1	1	yes	characteristic
219	C₄×C₅	C₂×C₂²⋊Q₈	1	1	yes	characteristic
220	C₄×C₅	C₂×#125	1	1	yes	characteristic
221	C₄×C₅	C₂×C₄⋊Q₈	1	1	yes	characteristic
222	C₂⁴	C₂²×C₄×C₅	1	1	yes	characteristic
223	C₂²×C₄	—	2	4	no	—
224	C₂²×C₄	—	2	2	no	—
225	C₂²×C₄	—	2	2	no	—
226	C₂²×C₄	—	2	4	no	—
227	C₂²×C₄	—	2	4	no	—
228	C₂²×C₄	—	2	4	no	—
229	C₂²×C₄	—	2	4	no	—
230	C₂²×C₄	C₅×C₄⋊C₄	1	4	yes	—
231	C₂²×C₄	C₅×C₄⋊C₄	1	4	yes	—
232	C₂²×C₄	C₂×C₅×C₈	1	8	yes	—
233	C₂²×C₄	C₂×C₅×C₈	1	4	yes	—
234	C₂²×C₄	C₅×M₁₆	1	4	yes	—
235	C₂²×C₄	C₂²×C₄×C₅	1	4	yes	—
236	C₂²×C₄	C₂²×C₄×C₅	1	2	yes	—
237	C₂²×C₄	C₂²×C₄×C₅	1	4	yes	—
238	C₂²×C₄	C₂²×C₄×C₅	1	1	yes	characteristic
239	C₂²×C₄	C₂²×C₄×C₅	1	2	yes	—
240	C₂²×C₄	C₂×C₅×D₄	1	2	yes	—
241	C₂²×C₄	C₂×C₅×D₄	1	2	yes	—
242	C₂²×C₄	C₂×C₅×Q₈	1	2	yes	—
243	C₂²×C₄	C₂×C₅×Q₈	1	2	yes	—
244	C₂²×C₄	C₅×#41	1	2	yes	—
245	C₂²×C₄	C₅×#41	1	2	yes	—
246	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
247	C₂×C₈	—	2	8	no	—
248	C₂×C₈	—	2	8	no	—
249	C₂×C₈	—	2	2	no	—
250	C₂×C₈	—	2	2	no	—
251	C₂×C₈	—	2	2	no	—
252	C₂×C₈	—	2	2	no	—
253	C₂×C₈	—	2	4	no	—
254	C₂×C₈	—	2	4	no	—
255	C₂×C₈	—	2	4	no	—
256	C₂×C₈	—	4	8	no	—
257	C₂×C₈	C₂×C₅×D₄	1	4	yes	—
258	C₂×C₈	C₂×C₅×Q₈	1	4	yes	—
259	C₄⋊C₄	—	2	8	no	—
260	C₄⋊C₄	C₂×C₅×C₈	1	16	yes	complemented
261	C₄²	—	2	8	no	—
262	C₄²	—	2	4	no	—
263	C₄²	—	2	4	no	—
264	C₄²	C₅×C₄⋊C₄	1	8	yes	—
265	C₄²	C₂×C₅×D₄	1	4	yes	—
266	C₄²	C₂×C₅×Q₈	1	4	yes	—
267	C₂×C₅	#1939	1	8	yes	direct product factor
268	C₂×C₅	C₂×#389	1	1	yes	characteristic
269	C₂×C₅	C₂²×C₄⋊C₈	1	1	yes	characteristic
270	C₂×C₅	C₂×#424	1	1	yes	characteristic
271	C₂×C₅	C₂×C₈×D₄	1	1	yes	characteristic
272	C₂×C₅	C₂×#436	1	1	yes	characteristic
273	C₂×C₅	C₂×C₈×Q₈	1	1	yes	characteristic
274	C₂×C₅	C₂×#446	1	1	yes	characteristic
275	C₂³	C₂×C₅×C₄⋊C₄	1	2	yes	—
276	C₂³	C₄×C₅×D₄	1	2	yes	—
277	C₂³	C₄×C₅×Q₈	1	2	yes	—
278	C₂³	C₂²×C₅×C₈	1	2	yes	—
279	C₂³	C₂×C₅×M₁₆	1	2	yes	—
280	C₂³	C₅×#131	1	2	yes	—
281	C₂³	C₅×#131	1	2	yes	—
282	C₂³	C₂³×C₄×C₅	1	1	yes	characteristic
283	C₂×C₄	—	2	8	no	—
284	C₂×C₄	—	2	16	no	—
285	C₂×C₄	—	2	4	no	—
286	C₂×C₄	—	2	2	no	—
287	C₂×C₄	—	2	2	no	—
288	C₂×C₄	—	2	4	no	—
289	C₂×C₄	—	2	4	no	—
290	C₂×C₄	—	2	4	no	—
291	C₂×C₄	—	2	4	no	—
292	C₂×C₄	—	4	8	no	—
293	C₂×C₄	C₅×C₄⋊C₈	1	16	yes	complemented
294	C₂×C₄	C₂×C₅×C₄⋊C₄	1	4	yes	—
295	C₂×C₄	C₂×C₅×C₄⋊C₄	1	2	yes	—
296	C₂×C₄	C₂×C₅×C₄⋊C₄	1	4	yes	—
297	C₂×C₄	C₄×C₅×D₄	1	2	yes	—
298	C₂×C₄	C₄×C₅×Q₈	1	2	yes	—
299	C₂×C₄	C₅×#121	1	4	yes	—
300	C₂×C₄	C₅×C₂²⋊Q₈	1	4	yes	—
301	C₂×C₄	C₅×#125	1	4	yes	—
302	C₂×C₄	C₅×C₄⋊Q₈	1	4	yes	—
303	C₂×C₄	C₂²×C₅×C₈	1	8	yes	—
304	C₂×C₄	C₂²×C₅×C₈	1	4	yes	—
305	C₂×C₄	C₂×C₅×M₁₆	1	4	yes	—
306	C₂×C₄	C₂²×C₅×D₄	1	1	yes	characteristic
307	C₂×C₄	C₂²×C₅×D₄	1	1	yes	characteristic
308	C₂×C₄	C₂²×C₅×Q₈	1	1	yes	characteristic
309	C₂×C₄	C₂²×C₅×Q₈	1	1	yes	characteristic
310	C₂×C₄	C₂×C₅×#41	1	1	yes	characteristic
311	C₂×C₄	C₂×C₅×#41	1	1	yes	characteristic
312	C₈	—	2	4	no	—
313	C₈	—	2	4	no	—
314	C₈	—	4	4	no	—
315	C₅	C₂×#1939	1	1	yes	characteristic, direct product factor, Sylow
316	C₂²	C₅×#389	1	4	yes	—
317	C₂²	C₂×C₅×C₄⋊C₈	1	4	yes	—
318	C₂²	C₅×#424	1	4	yes	—
319	C₂²	C₅×C₈×D₄	1	4	yes	—
320	C₂²	C₅×#436	1	4	yes	—
321	C₂²	C₅×C₈×Q₈	1	4	yes	—
322	C₂²	C₅×#446	1	4	yes	—
323	C₂²	C₂²×C₅×C₄⋊C₄	1	1	yes	characteristic
324	C₂²	C₂×C₄×C₅×D₄	1	1	yes	characteristic
325	C₂²	C₂×C₄×C₅×Q₈	1	1	yes	characteristic
326	C₂²	C₂³×C₅×C₈	1	1	yes	characteristic
327	C₂²	C₂²×C₅×M₁₆	1	1	yes	characteristic
328	C₂²	C₂×C₅×#131	1	1	yes	characteristic
329	C₂²	C₂×C₅×#131	1	1	yes	characteristic
330	C₄	—	2	4	no	—
331	C₄	—	2	8	no	—
332	C₄	—	4	4	no	—
333	C₄	C₅×#389	1	4	yes	—
334	C₄	C₂×C₅×C₄⋊C₈	1	8	yes	complemented
335	C₄	C₂×C₅×#121	1	1	yes	characteristic
336	C₄	C₂×C₅×C₂²⋊Q₈	1	1	yes	characteristic
337	C₄	C₂×C₅×#125	1	1	yes	characteristic
338	C₄	C₂×C₅×C₄⋊Q₈	1	1	yes	characteristic
339	C₂	C₅×#1939	1	8	yes	direct product factor
340	C₂	C₂×C₅×#389	1	1	yes	characteristic
341	C₂	C₂²×C₅×C₄⋊C₈	1	1	yes	characteristic
342	C₂	C₂×C₅×#424	1	1	yes	characteristic
343	C₂	C₂×C₅×C₈×D₄	1	1	yes	characteristic
344	C₂	C₂×C₅×#436	1	1	yes	characteristic
345	C₂	C₂×C₅×C₈×Q₈	1	1	yes	characteristic
346	C₂	C₂×C₅×#446	1	1	yes	characteristic

	subgroup	G/H
center	C₂³×C₄×C₅	C₂³
commutator	C₂²	C₂³×C₅×C₈
Frattini, cosocle	C₂²×C₄	C₂⁴×C₅
socle, prime radical	C₂⁴×C₅	C₂²×C₄
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₄×C₅ ◁ G

Complements

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

N	H ≅ G/N	type
5. C₅×#1939	C₂	direct (N × H)
24. C₂×#1939	C₅	direct (N × H)
43. C₂×C₅×C₄⋊C₄	C₈	semidirect
62. #1939	C₂×C₅	direct (N × H)
102. C₅×C₄⋊C₄	C₂×C₈	semidirect
144. C₂×C₄×C₅	C₄⋊C₈	semidirect
184. C₂×C₄⋊C₄	C₅×C₈	semidirect
217. C₄×C₅	C₂×C₄⋊C₈	semidirect
260. C₄⋊C₄	C₂×C₅×C₈	semidirect
267. C₂×C₅	#1939	direct (N × H)
293. C₂×C₄	C₅×C₄⋊C₈	semidirect
315. C₅	C₂×#1939	direct (N × H)
334. C₄	C₂×C₅×C₄⋊C₈	semidirect
339. C₂	C₅×#1939	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂²×C₅×C₄⋊C₈	2
C₂²×C₄×C₅×C₈	2
C₂×C₄×C₅×C₄⋊C₄	2
C₅×#1939	2
C₂×C₅×#336	2
C₂×#1939	5

Subgroups — C2×C5×#1939 #11943861

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₅×#1939 #11943861