Subgroups — C₂×#11747915 #14427710

Order 1920.

1232 conjugacy classes of subgroups.

The subgroup lattice has 384 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₅×D₃×C₈	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×C₃×D₄₀	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#91456	C₂	1	2	yes	maximal, complemented
4	C₂×#91102	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#90965	C₂	1	2	yes	maximal, complemented
6	#11747915	C₂	1	8	yes	maximal, direct product factor
7	C₂×#65404	—	3	1	no	maximal, Hall
8	C₂²×C₄×C₅×D₃	C₂²	1	1	yes	characteristic
9	C₂²×C₃×D₂₀	C₂²	1	2	yes	—
10	C₂²×#1201	—	2	2	no	—
11	C₂²×C₃×C₅×C₈	C₂²	1	1	yes	characteristic
12	C₂×C₄⋊Dic₁₅	C₂²	1	2	yes	—
13	C₂²×C₅×C₃⋊C₈	C₂²	1	1	yes	characteristic
14	C₂×C₅×D₃×C₈	—	2	4	no	—
15	C₂×C₅×D₃×C₈	C₂²	1	4	yes	complemented
16	C₂×C₃×D₄₀	—	2	4	no	—
17	C₂×C₃×D₄₀	C₂²	1	4	yes	complemented
18	C₂×#6665	—	2	2	no	—
19	#91456	—	2	4	no	—
20	#91456	C₂²	1	8	yes	complemented
21	#91102	C₂²	1	4	yes	complemented
22	#90965	C₂²	1	8	yes	complemented
23	C₂×#5157	—	5	1	no	maximal, Hall
24	C₂³×C₅×C₈	—	3	1	no	—
25	C₂×#4076	—	3	2	no	—
26	C₂²×D₄₀	D₃	1	1	yes	characteristic, complemented
27	#65404	—	3	8	no	—
28	C₂×#3953	—	3	2	no	—
29	C₂×#3950	—	3	1	no	—
30	C₂³×C₅×D₃	D₄	1	1	yes	characteristic
31	C₂³×C₃×D₅	—	2	2	no	—
32	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
33	C₂²×Dic₁₅	—	2	2	no	—
34	C₂²×C₅×Dic₃	D₄	1	1	yes	characteristic
35	C₂×C₄×C₅×D₃	—	2	2	no	—
36	C₂×C₄×C₅×D₃	—	2	2	no	—
37	C₂×C₄×C₅×D₃	D₄	1	2	yes	—
38	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
39	C₂×C₃×D₂₀	—	2	4	no	—
40	C₂×C₃×D₂₀	—	2	4	no	—
41	C₂×C₃×D₂₀	—	2	2	no	—
42	C₂×C₃×D₂₀	C₂³	1	4	yes	—
43	C₂×#1201	—	2	8	no	—
44	C₂×#1201	—	4	8	no	—
45	C₂×C₃×C₅×C₈	D₄	1	4	yes	complemented
46	C₂×C₃×C₅×C₈	C₂³	1	2	yes	—
47	C₄⋊Dic₁₅	—	2	2	no	—
48	C₄⋊Dic₁₅	C₂³	1	4	yes	—
49	C₂×C₅×C₃⋊C₈	—	2	2	no	—
50	C₂×C₅×C₃⋊C₈	C₂³	1	2	yes	—
51	C₅×D₃×C₈	—	2	8	no	—
52	C₃×D₄₀	—	2	8	no	—
53	#6665	—	2	8	no	—
54	C₂²×C₃×D₈	—	5	1	no	—
55	C₂×#938	—	5	2	no	—
56	C₂²×D₃×C₈	D₅	1	1	yes	characteristic, complemented
57	C₂×#832	—	5	2	no	—
58	#5157	—	5	8	no	—
59	C₂×#818	—	5	1	no	—
60	C₂³×C₄×C₅	—	3	1	no	—
61	C₂²×C₂²⋊D₅	—	6	2	no	—
62	C₂²×D₂₀	C₂×D₃	1	2	yes	—
63	C₂²×C₅×C₈	—	3	1	no	—
64	C₂²×C₅×C₈	—	3	4	no	—
65	C₂²×C₅×C₈	—	6	4	no	—
66	C₂²×C₅×C₈	C₂×D₃	1	1	yes	characteristic
67	#4076	—	3	8	no	—
68	#4076	—	6	4	no	—
69	C₂×#685	—	6	2	no	—
70	C₂×C₄⋊Dic₅	—	3	2	no	—
71	C₂×D₄₀	—	2	4	no	—
72	C₂×D₄₀	C₂×D₃	1	4	yes	complemented
73	#3953	—	3	8	no	—
74	#3950	—	3	4	no	—
75	C₂×#466	—	15	1	no	Sylow
76	C₂³×C₃×C₅	C₂×D₄	1	1	yes	characteristic
77	C₂²×C₅×D₃	—	2	2	no	—
78	C₂²×C₅×D₃	—	2	2	no	—
79	C₂²×C₅×D₃	D₈	1	4	yes	complemented
80	C₂²×C₅×D₃	C₂×D₄	1	2	yes	—
81	C₂²×C₃×D₅	—	2	4	no	—
82	C₂²×C₃×D₅	—	4	4	no	—
83	C₂²×C₃×D₅	—	4	4	no	—
84	C₂²×C₃×D₅	—	4	4	no	—
85	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
86	C₂×C₃×C₄×C₅	C₂×D₄	1	2	yes	—
87	C₂×C₃×C₄×C₅	#41	1	2	yes	—
88	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
89	C₂×Dic₁₅	—	2	4	no	—
90	C₂×Dic₁₅	—	4	4	no	—
91	C₂×C₅×Dic₃	—	2	2	no	—
92	C₂×C₅×Dic₃	C₂×D₄	1	2	yes	—
93	C₄×C₅×D₃	—	2	4	no	—
94	C₄×C₅×D₃	—	2	2	no	—
95	C₄×C₅×D₃	—	2	2	no	—
96	C₃×D₂₀	—	2	4	no	—
97	C₃×D₂₀	—	2	4	no	—
98	C₃×D₂₀	—	4	4	no	—
99	#1201	—	4	16	no	—
100	C₃×C₅×C₈	C₂×D₄	1	4	yes	complemented
101	C₅×C₃⋊C₈	—	2	2	no	—
102	C₂²×C₃×D₄	—	5	2	no	—
103	C₂²×#67	—	10	2	no	—
104	C₂²×C₄×D₃	C₂×D₅	1	1	yes	characteristic
105	C₂×C₃×D₈	—	5	4	no	—
106	C₂×C₃×D₈	—	10	4	no	—
107	C₂²×C₃×C₈	C₂×D₅	1	1	yes	characteristic
108	C₂×#217	—	10	2	no	—
109	#938	—	5	8	no	—
110	#938	—	10	4	no	—
111	C₂×C₄⋊Dic₃	—	5	2	no	—
112	C₂²×C₃⋊C₈	C₂×D₅	1	1	yes	characteristic
113	C₂×D₃×C₈	—	2	4	no	—
114	C₂×D₃×C₈	C₂×D₅	1	4	yes	complemented
115	#832	—	5	8	no	—
116	#818	—	5	4	no	—
117	C₂⁴×C₅	—	3	1	no	—
118	C₂³×D₅	—	2	2	no	—
119	C₂²×C₄×C₅	—	3	1	no	—
120	C₂²×C₄×C₅	—	3	2	no	—
121	C₂²×C₄×C₅	—	3	2	no	—
122	C₂²×C₄×C₅	—	6	2	no	—
123	C₂²×C₄×C₅	—	6	2	no	—
124	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
125	C₂×C₂²⋊D₅	—	6	8	no	—
126	C₂×C₂²⋊D₅	—	12	8	no	—
127	C₂²×Dic₅	—	6	2	no	—
128	C₂×D₂₀	—	2	4	no	—
129	C₂×D₂₀	—	2	4	no	—
130	C₂×D₂₀	—	2	2	no	—
131	C₂×D₂₀	C₂²×D₃	1	4	yes	—
132	C₂×C₅×C₈	—	3	2	no	—
133	C₂×C₅×C₈	—	6	2	no	—
134	C₂×C₅×C₈	—	6	8	no	—
135	C₂×C₅×C₈	#67	1	4	yes	complemented
136	C₂×C₅×C₈	C₂²×D₃	1	2	yes	—
137	#685	—	6	8	no	—
138	C₄⋊Dic₅	—	3	4	no	—
139	C₄⋊Dic₅	—	6	2	no	—
140	D₄₀	—	2	8	no	—
141	C₂²×D₈	—	5	1	no	—
142	C₂³×C₈	—	3	1	no	—
143	C₂×#121	—	15	2	no	—
144	#466	—	15	8	no	—
145	C₂×#107	—	15	1	no	—
146	C₂×#102	—	15	2	no	—
147	C₂²×C₃×C₅	#121	1	2	yes	—
148	C₂²×C₃×C₅	C₂×D₈	1	2	yes	—
149	C₂²×C₃×C₅	#135	1	2	yes	—
150	C₂²×C₃×C₅	C₂²×D₄	1	1	yes	characteristic
151	C₂×C₅×D₃	—	2	2	no	—
152	C₂×C₅×D₃	—	2	2	no	—
153	C₂×C₅×D₃	—	2	8	no	—
154	C₂×C₅×D₃	C₂×D₈	1	4	yes	complemented
155	C₂×C₃×D₅	—	4	4	no	—
156	C₂×C₃×D₅	—	4	4	no	—
157	C₂×C₃×D₅	—	4	4	no	—
158	C₂×C₃×D₅	—	8	8	no	—
159	C₃×C₄×C₅	#121	1	2	yes	—
160	C₃×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
161	C₃×C₄×C₅	C₂×#41	1	1	yes	characteristic
162	Dic₁₅	—	4	4	no	—
163	C₅×Dic₃	—	2	2	no	—
164	C₂⁴×C₃	—	10	2	no	—
165	C₂³×D₃	D₂₀	1	1	yes	characteristic
166	C₂×C₃×D₄	—	5	4	no	—
167	C₂×C₃×D₄	—	10	2	no	—
168	C₂×C₃×D₄	—	10	4	no	—
169	C₂×C₃×D₄	—	10	4	no	—
170	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
171	C₂×#67	—	10	8	no	—
172	C₂×#67	—	20	8	no	—
173	C₂²×Dic₃	—	10	2	no	—
174	C₂²×Dic₃	D₂₀	1	1	yes	characteristic
175	C₂×C₄×D₃	—	2	2	no	—
176	C₂×C₄×D₃	—	2	2	no	—
177	C₂×C₄×D₃	D₂₀	1	2	yes	—
178	C₂×C₄×D₃	C₂²×D₅	1	2	yes	—
179	C₃×D₈	—	10	8	no	—
180	C₂×C₃×C₈	C₂²⋊D₅	1	4	yes	complemented
181	C₂×C₃×C₈	C₂²×D₅	1	2	yes	—
182	#217	—	10	8	no	—
183	C₄⋊Dic₃	—	5	4	no	—
184	C₄⋊Dic₃	—	10	2	no	—
185	C₂×C₃⋊C₈	—	2	2	no	—
186	C₂×C₃⋊C₈	C₂²×D₅	1	2	yes	—
187	D₃×C₈	—	2	8	no	—
188	C₂³×C₅	—	3	4	no	—
189	C₂³×C₅	—	3	2	no	—
190	C₂³×C₅	—	6	2	no	—
191	C₂³×C₅	—	6	2	no	—
192	C₂³×C₅	D₃×D₄	1	1	yes	characteristic
193	C₂²×D₅	—	2	4	no	—
194	C₂²×D₅	—	4	4	no	—
195	C₂²×D₅	—	4	4	no	—
196	C₂²×D₅	—	4	4	no	—
197	C₂×C₄×C₅	—	3	2	no	—
198	C₂×C₄×C₅	—	6	2	no	—
199	C₂×C₄×C₅	—	6	4	no	—
200	C₂×C₄×C₅	—	6	2	no	—
201	C₂×C₄×C₅	—	6	2	no	—
202	C₂×C₄×C₅	D₃×D₄	1	1	yes	characteristic
203	C₂×C₄×C₅	#237	1	2	yes	—
204	C₂×C₄×C₅	C₂×#67	1	2	yes	—
205	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
206	C₂²⋊D₅	—	12	16	no	—
207	C₂×Dic₅	—	6	4	no	—
208	C₂×Dic₅	—	12	4	no	—
209	D₂₀	—	2	4	no	—
210	D₂₀	—	2	4	no	—
211	D₂₀	—	4	4	no	—
212	C₅×C₈	—	6	2	no	—
213	C₅×C₈	C₂×#67	1	4	yes	complemented
214	C₂²×D₄	—	5	2	no	—
215	C₂²×D₄	—	30	2	no	—
216	C₂³×C₄	—	3	1	no	—
217	C₂×D₈	—	5	4	no	—
218	C₂×D₈	—	10	4	no	—
219	C₂²×C₈	—	3	1	no	—
220	C₂²×C₈	—	3	4	no	—
221	C₂²×C₈	—	6	4	no	—
222	C₂²×C₈	D₃×D₅	1	1	yes	characteristic
223	#121	—	15	8	no	—
224	#121	—	30	4	no	—
225	C₂×C₄⋊C₄	—	15	2	no	—
226	C₂×C₂²⋊C₄	—	30	2	no	—
227	#107	—	15	4	no	—
228	#102	—	15	8	no	—
229	C₂×C₃×C₅	#466	1	4	yes	complemented
230	C₂×C₃×C₅	C₂×#121	1	1	yes	characteristic
231	C₂×C₃×C₅	C₂²×D₈	1	1	yes	characteristic
232	C₂×C₃×C₅	C₂×#135	1	1	yes	characteristic
233	C₃×D₅	—	8	4	no	—
234	C₅×D₃	—	2	4	no	—
235	C₂³×C₃	—	10	4	no	—
236	C₂³×C₃	—	20	4	no	—
237	C₂³×C₃	—	20	4	no	—
238	C₂³×C₃	—	20	4	no	—
239	C₂³×C₃	C₂×D₂₀	1	1	yes	characteristic
240	C₂²×D₃	—	2	2	no	—
241	C₂²×D₃	—	2	2	no	—
242	C₂²×D₃	D₄₀	1	4	yes	complemented
243	C₂²×D₃	C₂×D₂₀	1	2	yes	—
244	C₃×D₄	—	10	4	no	—
245	C₃×D₄	—	10	4	no	—
246	C₃×D₄	—	20	4	no	—
247	C₂×C₃×C₄	C₂×D₂₀	1	1	yes	characteristic
248	C₂×C₃×C₄	#709	1	2	yes	—
249	C₂×C₃×C₄	C₂×C₂²⋊D₅	1	2	yes	—
250	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
251	#67	—	20	16	no	—
252	C₂×Dic₃	—	2	2	no	—
253	C₂×Dic₃	—	10	4	no	—
254	C₂×Dic₃	—	20	4	no	—
255	C₂×Dic₃	C₂×D₂₀	1	2	yes	—
256	C₄×D₃	—	2	2	no	—
257	C₄×D₃	—	2	2	no	—
258	C₄×D₃	—	2	4	no	—
259	C₃×C₈	C₂×C₂²⋊D₅	1	4	yes	complemented
260	C₃⋊C₈	—	2	2	no	—
261	C₂²×C₅	—	3	4	no	—
262	C₂²×C₅	—	6	8	no	—
263	C₂²×C₅	—	6	2	no	—
264	C₂²×C₅	—	6	2	no	—
265	C₂²×C₅	D₃×D₈	1	2	yes	—
266	C₂²×C₅	#912	1	2	yes	—
267	C₂²×C₅	#938	1	2	yes	—
268	C₂²×C₅	C₂×D₃×D₄	1	1	yes	characteristic
269	C₂×D₅	—	4	4	no	—
270	C₂×D₅	—	4	4	no	—
271	C₂×D₅	—	4	4	no	—
272	C₂×D₅	—	8	8	no	—
273	C₄×C₅	—	6	2	no	—
274	C₄×C₅	#938	1	2	yes	—
275	C₄×C₅	C₂×#237	1	1	yes	characteristic
276	C₄×C₅	C₂²×#67	1	1	yes	characteristic
277	Dic₅	—	12	4	no	—
278	C₂⁴	—	3	1	no	—
279	C₂⁴	—	10	2	no	—
280	C₂×D₄	—	5	4	no	—
281	C₂×D₄	—	10	4	no	—
282	C₂×D₄	—	10	2	no	—
283	C₂×D₄	—	10	4	no	—
284	C₂×D₄	—	30	8	no	—
285	C₂×D₄	—	60	8	no	—
286	C₂²×C₄	—	3	1	no	—
287	C₂²×C₄	—	3	2	no	—
288	C₂²×C₄	—	3	2	no	—
289	C₂²×C₄	—	6	2	no	—
290	C₂²×C₄	—	6	2	no	—
291	C₂²×C₄	—	30	2	no	—
292	C₂²×C₄	C₂×D₃×D₅	1	1	yes	characteristic
293	D₈	—	10	8	no	—
294	C₂×C₈	—	3	2	no	—
295	C₂×C₈	—	6	2	no	—
296	C₂×C₈	—	6	8	no	—
297	C₂×C₈	#1201	1	4	yes	complemented
298	C₂×C₈	C₂×D₃×D₅	1	2	yes	—
299	C₄⋊C₄	—	15	4	no	—
300	C₄⋊C₄	—	30	2	no	—
301	C₂²⋊C₄	—	30	8	no	—
302	C₃×C₅	C₂×#466	1	1	yes	characteristic, complemented, Hall
303	C₂²×C₃	—	20	4	no	—
304	C₂²×C₃	—	20	4	no	—
305	C₂²×C₃	—	20	4	no	—
306	C₂²×C₃	—	40	8	no	—
307	C₂²×C₃	C₂×D₄₀	1	2	yes	—
308	C₂²×C₃	#4050	1	2	yes	—
309	C₂²×C₃	#4076	1	2	yes	—
310	C₂²×C₃	C₂²×D₂₀	1	1	yes	characteristic
311	C₂×D₃	—	2	2	no	—
312	C₂×D₃	—	2	2	no	—
313	C₂×D₃	—	2	8	no	—
314	C₂×D₃	C₂×D₄₀	1	4	yes	complemented
315	C₃×C₄	#4076	1	2	yes	—
316	C₃×C₄	C₂×#709	1	1	yes	characteristic
317	C₃×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
318	Dic₃	—	2	2	no	—
319	Dic₃	—	20	4	no	—
320	C₂×C₅	—	6	4	no	—
321	C₂×C₅	#5157	1	4	yes	complemented
322	C₂×C₅	C₂×D₃×D₈	1	1	yes	characteristic
323	C₂×C₅	C₂×#912	1	1	yes	characteristic
324	C₂×C₅	C₂×#938	1	1	yes	characteristic
325	D₅	—	8	4	no	—
326	C₂³	—	3	2	no	—
327	C₂³	—	3	4	no	—
328	C₂³	—	6	2	no	—
329	C₂³	—	6	2	no	—
330	C₂³	—	10	4	no	—
331	C₂³	—	20	4	no	—
332	C₂³	—	20	4	no	—
333	C₂³	—	20	4	no	—
334	C₂³	D₃×D₂₀	1	1	yes	characteristic
335	D₄	—	10	4	no	—
336	D₄	—	10	4	no	—
337	D₄	—	20	4	no	—
338	D₄	—	60	16	no	—
339	C₂×C₄	—	3	2	no	—
340	C₂×C₄	—	6	2	no	—
341	C₂×C₄	—	6	4	no	—
342	C₂×C₄	—	6	2	no	—
343	C₂×C₄	—	6	2	no	—
344	C₂×C₄	—	30	4	no	—
345	C₂×C₄	—	60	4	no	—
346	C₂×C₄	#6765	1	2	yes	—
347	C₂×C₄	D₃×D₂₀	1	1	yes	characteristic
348	C₂×C₄	C₂×#1201	1	2	yes	—
349	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
350	C₈	—	6	2	no	—
351	C₈	C₂×#1201	1	4	yes	complemented
352	C₂×C₃	—	40	4	no	—
353	C₂×C₃	#65404	1	4	yes	complemented
354	C₂×C₃	C₂²×D₄₀	1	1	yes	characteristic
355	C₂×C₃	C₂×#4050	1	1	yes	characteristic
356	C₂×C₃	C₂×#4076	1	1	yes	characteristic
357	D₃	—	2	4	no	—
358	C₅	C₂×#5157	1	1	yes	characteristic, complemented, Sylow
359	C₂²	—	3	4	no	—
360	C₂²	—	6	2	no	—
361	C₂²	—	6	2	no	—
362	C₂²	—	6	8	no	—
363	C₂²	—	20	4	no	—
364	C₂²	—	20	4	no	—
365	C₂²	—	20	4	no	—
366	C₂²	—	40	8	no	—
367	C₂²	D₃×D₄₀	1	2	yes	—
368	C₂²	#91273	1	2	yes	—
369	C₂²	#91456	1	2	yes	—
370	C₂²	C₂×D₃×D₂₀	1	1	yes	characteristic
371	C₄	—	6	2	no	—
372	C₄	—	60	4	no	—
373	C₄	#91456	1	2	yes	—
374	C₄	C₂×#6765	1	1	yes	characteristic
375	C₄	C₂²×#1201	1	1	yes	characteristic
376	C₃	C₂×#65404	1	1	yes	characteristic, complemented, Sylow
377	C₂	—	6	4	no	—
378	C₂	—	40	4	no	—
379	C₂	#11747915	1	4	yes	direct product factor
380	C₂	C₂×D₃×D₄₀	1	1	yes	characteristic
381	C₂	C₂×#91273	1	1	yes	characteristic
382	C₂	C₂×#91456	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	D₃×D₂₀
commutator, cosocle	C₂×C₃×C₄×C₅	C₂⁴
Frattini	C₂×C₄	C₂²×D₃×D₅
Fitting	C₂²×C₃×C₅×C₈	C₂²
socle	C₂³×C₃×C₅	C₂×D₄
hypercenter	C₂²×C₈	D₃×D₅
hypocenter	C₃×C₅	C₂×#466
LCS	G ▷ C₂×C₃×C₄×C₅ ▷ C₂×C₃×C₅ ▷ C₃×C₅
UCS	C₁ ◁ C₂³ ◁ C₂²×C₄ ◁ C₂²×C₈

Complements

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

N	H ≅ G/N	type
1. C₂²×C₅×D₃×C₈	C₂	semidirect
2. C₂²×C₃×D₄₀	C₂	semidirect
3. C₂×#91456	C₂	semidirect
4. C₂×#91102	C₂	semidirect
5. C₂×#90965	C₂	semidirect
6. #11747915	C₂	direct (N × H)
15. C₂×C₅×D₃×C₈	C₂²	semidirect
17. C₂×C₃×D₄₀	C₂²	semidirect
20. #91456	C₂²	semidirect
21. #91102	C₂²	semidirect
22. #90965	C₂²	semidirect
26. C₂²×D₄₀	D₃	semidirect
45. C₂×C₃×C₅×C₈	D₄	semidirect
56. C₂²×D₃×C₈	D₅	semidirect
72. C₂×D₄₀	C₂×D₃	semidirect
79. C₂²×C₅×D₃	D₈	semidirect
100. C₃×C₅×C₈	C₂×D₄	semidirect
114. C₂×D₃×C₈	C₂×D₅	semidirect
135. C₂×C₅×C₈	#67	semidirect
154. C₂×C₅×D₃	C₂×D₈	semidirect
180. C₂×C₃×C₈	C₂²⋊D₅	semidirect
213. C₅×C₈	C₂×#67	semidirect
229. C₂×C₃×C₅	#466	semidirect
242. C₂²×D₃	D₄₀	semidirect
259. C₃×C₈	C₂×C₂²⋊D₅	semidirect
297. C₂×C₈	#1201	semidirect
302. C₃×C₅	C₂×#466	semidirect
314. C₂×D₃	C₂×D₄₀	semidirect
321. C₂×C₅	#5157	semidirect
351. C₈	C₂×#1201	semidirect
353. C₂×C₃	#65404	semidirect
358. C₅	C₂×#5157	semidirect
376. C₃	C₂×#65404	semidirect
379. C₂	#11747915	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×D₃×C₈	2
C₂²×C₃×D₄₀	2
C₂×#91456	2
C₂×#91102	2
C₂×#90965	2
#11747915	2
C₂×#65404	3
C₂×#5157	5

Subgroups — C2×#11747915 #14427710

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#11747915 #14427710