Subgroups — C₂×#11750801 #14417844

Order 1920.

944 conjugacy classes of subgroups.

The subgroup lattice has 376 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#91793	C₂	1	1	yes	maximal, characteristic
2	C₂×#91790	C₂	1	2	yes	maximal, complemented
3	C₂×C₃×C₄×C₅×C₈	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#91103	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#91089	C₂	1	2	yes	maximal, complemented
6	#11750801	C₂	1	8	yes	maximal, direct product factor
7	C₂×#64989	—	3	1	no	maximal, Hall
8	C₂×#6817	C₂²	1	2	yes	—
9	C₂²×C₃×C₅×C₈	C₂²	1	1	yes	characteristic
10	C₂²×C₃×C₅×C₈	C₂²	1	1	yes	characteristic
11	C₂×C₃×C₄²×C₅	C₂²	1	1	yes	characteristic
12	C₂×#6710	C₂²	1	2	yes	—
13	C₂×Dic₆₀	C₄	1	1	yes	characteristic, complemented
14	#91793	C₄	1	4	yes	complemented
15	#91793	C₂²	1	4	yes	—
16	C₂×D₁₂₀	C₄	1	1	yes	characteristic, complemented
17	C₂×#6706	C₄	1	2	yes	complemented
18	#91790	—	2	4	no	—
19	#91790	C₂²	1	8	yes	complemented
20	C₂×#6705	—	2	2	no	—
21	C₂×C₈×D₁₅	—	2	2	no	—
22	C₃×C₄×C₅×C₈	C₂²	1	4	yes	complemented
23	#91103	C₂²	1	4	yes	complemented
24	#91089	C₂²	1	8	yes	complemented
25	C₂×#4700	—	5	1	no	maximal, Hall
26	C₂×#4050	—	3	1	no	—
27	C₂×#4047	—	3	2	no	—
28	C₂×C₄×C₅×C₈	D₃	1	1	yes	characteristic, complemented
29	C₂×#3951	—	3	1	no	—
30	C₂×#3937	—	3	2	no	—
31	#64989	—	3	8	no	—
32	C₂²×C₃×C₄×C₅	—	2	1	no	—
33	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
34	C₂×#1220	—	2	2	no	—
35	#6817	—	2	2	no	—
36	#6817	—	2	2	no	—
37	#6817	C₂×C₄	1	4	yes	—
38	#6817	C₂³	1	4	yes	—
39	C₂×D₆₀	C₂×C₄	1	2	yes	—
40	C₂×C₄×D₁₅	—	2	2	no	—
41	C₂×Dic₃₀	C₂×C₄	1	2	yes	—
42	C₂×C₃×C₅×C₈	C₂×C₄	1	1	yes	characteristic
43	C₂×C₃×C₅×C₈	C₂×C₄	1	1	yes	characteristic
44	C₂×C₃×C₅×C₈	C₂×C₄	1	2	yes	—
45	C₂×C₃×C₅×C₈	D₄	1	1	yes	characteristic
46	C₂×C₃×C₅×C₈	D₄	1	1	yes	characteristic
47	C₂×C₃×C₅×C₈	D₄	1	2	yes	—
48	C₂×C₃×C₅×C₈	C₂³	1	2	yes	—
49	C₂×C₃×C₅×C₈	C₂³	1	2	yes	—
50	C₃×C₄²×C₅	—	2	1	no	—
51	C₃×C₄²×C₅	C₂³	1	2	yes	—
52	#6710	—	2	2	no	—
53	#6710	C₂³	1	4	yes	—
54	C₂×C₃⋊#168	—	2	2	no	—
55	Dic₆₀	C₂×C₄	1	4	yes	complemented
56	D₁₂₀	C₂×C₄	1	4	yes	complemented
57	#6706	C₂×C₄	1	8	yes	complemented
58	#6705	—	2	8	no	—
59	C₈×D₁₅	—	2	8	no	—
60	C₂×#904	—	5	1	no	—
61	C₂×#901	—	5	2	no	—
62	C₂×C₃×C₄×C₈	D₅	1	1	yes	characteristic, complemented
63	C₂×#819	—	5	1	no	—
64	C₂×#805	—	5	2	no	—
65	#4700	—	5	8	no	—
66	C₂×#709	—	3	2	no	—
67	C₂²×C₅×C₈	C₂×D₃	1	1	yes	characteristic
68	C₂²×C₅×C₈	C₂×D₃	1	1	yes	characteristic
69	C₂×C₄²×C₅	C₂×D₃	1	1	yes	characteristic
70	C₂×#681	—	3	2	no	—
71	C₂×Dic₂₀	—	3	1	no	—
72	#4050	—	3	4	no	—
73	#4050	—	3	4	no	—
74	C₂×D₄₀	—	3	1	no	—
75	C₂×#677	—	3	2	no	—
76	#4047	—	3	8	no	—
77	#4047	—	6	4	no	—
78	C₂×#676	—	6	2	no	—
79	C₂×C₈×D₅	—	6	2	no	—
80	C₄×C₅×C₈	C₂×D₃	1	4	yes	complemented
81	#3951	—	3	4	no	—
82	#3937	—	3	8	no	—
83	C₂×#443	—	15	1	no	Sylow
84	C₂³×C₃×C₅	#41	1	1	yes	characteristic
85	C₂²×D₁₅	—	2	2	no	—
86	C₂×C₃×C₄×C₅	—	2	4	no	—
87	C₂×C₃×C₄×C₅	—	2	2	no	—
88	C₂×C₃×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
89	C₂×C₃×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
90	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
91	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
92	C₂×C₃×C₄×C₅	#41	1	1	yes	characteristic
93	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
94	#1220	—	2	4	no	—
95	#1220	—	2	4	no	—
96	C₂×Dic₁₅	—	2	2	no	—
97	D₆₀	—	2	2	no	—
98	D₆₀	C₂²×C₄	1	4	yes	—
99	C₄×D₁₅	—	2	4	no	—
100	C₄×D₁₅	—	2	4	no	—
101	Dic₃₀	—	2	2	no	—
102	Dic₃₀	C₂²×C₄	1	4	yes	—
103	C₃×C₅×C₈	C₂²×C₄	1	2	yes	—
104	C₃×C₅×C₈	C₂²×C₄	1	2	yes	—
105	C₃×C₅×C₈	C₂×D₄	1	2	yes	—
106	C₃×C₅×C₈	C₂×D₄	1	2	yes	—
107	C₃⋊#168	—	2	4	no	—
108	C₂×#235	—	5	2	no	—
109	C₂²×C₃×C₈	C₂×D₅	1	1	yes	characteristic
110	C₂²×C₃×C₈	C₂×D₅	1	1	yes	characteristic
111	C₂×C₃×C₄²	C₂×D₅	1	1	yes	characteristic
112	C₂×#208	—	5	2	no	—
113	C₂×Dic₁₂	—	5	1	no	—
114	#904	—	5	4	no	—
115	#904	—	5	4	no	—
116	C₂×D₂₄	—	5	1	no	—
117	C₂×#204	—	5	2	no	—
118	#901	—	5	8	no	—
119	#901	—	10	4	no	—
120	C₂×ΓL(1,𝔽₂₅)	—	10	2	no	—
121	C₂×D₃×C₈	—	10	2	no	—
122	C₃×C₄×C₈	C₂×D₅	1	4	yes	complemented
123	#819	—	5	4	no	—
124	#805	—	5	8	no	—
125	C₂²×C₄×C₅	—	2	1	no	—
126	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
127	C₂×C₂²⋊D₅	—	6	2	no	—
128	#709	—	3	4	no	—
129	#709	—	3	4	no	—
130	#709	—	6	2	no	—
131	#709	—	6	2	no	—
132	C₂×D₂₀	—	3	2	no	—
133	C₂×C₄×D₅	—	6	2	no	—
134	C₂×Dic₁₀	—	3	2	no	—
135	C₂×C₅×C₈	C₄×D₃	1	1	yes	characteristic
136	C₂×C₅×C₈	C₄×D₃	1	1	yes	characteristic
137	C₂×C₅×C₈	C₄×D₃	1	2	yes	—
138	C₂×C₅×C₈	D₁₂	1	1	yes	characteristic
139	C₂×C₅×C₈	D₁₂	1	2	yes	—
140	C₂×C₅×C₈	D₁₂	1	1	yes	characteristic
141	C₂×C₅×C₈	C₂²×D₃	1	2	yes	—
142	C₂×C₅×C₈	C₂²×D₃	1	2	yes	—
143	C₄²×C₅	—	2	1	no	—
144	C₄²×C₅	C₂²×D₃	1	2	yes	—
145	#681	—	3	4	no	—
146	#681	—	6	2	no	—
147	C₂×#168	—	6	2	no	—
148	Dic₂₀	—	3	4	no	—
149	D₄₀	—	3	4	no	—
150	#677	—	3	8	no	—
151	#676	—	6	8	no	—
152	C₈×D₅	—	6	8	no	—
153	C₂×#135	—	15	1	no	—
154	C₂×#131	—	15	2	no	—
155	#443	—	15	8	no	—
156	C₂×#108	—	15	1	no	—
157	C₂×#104	—	15	2	no	—
158	C₂×C₄×C₈	D₁₅	1	1	yes	characteristic, complemented
159	C₂²×C₃×C₅	—	2	2	no	—
160	C₂²×C₃×C₅	C₄×D₄	1	1	yes	characteristic
161	C₂²×C₃×C₅	C₄×D₄	1	1	yes	characteristic
162	C₂²×C₃×C₅	C₂×#41	1	1	yes	characteristic
163	C₂×D₁₅	—	2	4	no	—
164	C₂×D₁₅	—	4	4	no	—
165	C₃×C₄×C₅	—	2	4	no	—
166	C₃×C₄×C₅	C₄×D₄	1	1	yes	characteristic
167	C₃×C₄×C₅	C₄×D₄	1	1	yes	characteristic
168	C₃×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
169	C₃×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
170	Dic₁₅	—	2	4	no	—
171	C₂²×C₃×C₄	—	2	1	no	—
172	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
173	C₂×#67	—	10	2	no	—
174	#235	—	5	4	no	—
175	#235	—	5	4	no	—
176	#235	—	10	2	no	—
177	#235	—	10	2	no	—
178	C₂×D₁₂	—	5	2	no	—
179	C₂×C₄×D₃	—	10	2	no	—
180	C₂×Dic₆	—	5	2	no	—
181	C₂×C₃×C₈	C₄×D₅	1	1	yes	characteristic
182	C₂×C₃×C₈	C₄×D₅	1	1	yes	characteristic
183	C₂×C₃×C₈	C₄×D₅	1	2	yes	—
184	C₂×C₃×C₈	D₂₀	1	1	yes	characteristic
185	C₂×C₃×C₈	D₂₀	1	2	yes	—
186	C₂×C₃×C₈	D₂₀	1	1	yes	characteristic
187	C₂×C₃×C₈	C₂²×D₅	1	2	yes	—
188	C₂×C₃×C₈	C₂²×D₅	1	2	yes	—
189	C₃×C₄²	—	2	1	no	—
190	C₃×C₄²	C₂²×D₅	1	2	yes	—
191	#208	—	5	4	no	—
192	#208	—	10	2	no	—
193	C₂×C₃⋊C₈	—	10	2	no	—
194	Dic₁₂	—	5	4	no	—
195	D₂₄	—	5	4	no	—
196	#204	—	5	8	no	—
197	ΓL(1,𝔽₂₅)	—	10	8	no	—
198	D₃×C₈	—	10	8	no	—
199	C₂³×C₅	#235	1	1	yes	characteristic
200	C₂²×D₅	—	6	2	no	—
201	C₂×C₄×C₅	—	2	4	no	—
202	C₂×C₄×C₅	—	2	2	no	—
203	C₂×C₄×C₅	C₂×C₄×D₃	1	1	yes	characteristic
204	C₂×C₄×C₅	C₂×C₄×D₃	1	1	yes	characteristic
205	C₂×C₄×C₅	C₂×D₁₂	1	1	yes	characteristic
206	C₂×C₄×C₅	C₂×D₁₂	1	1	yes	characteristic
207	C₂×C₄×C₅	#235	1	1	yes	characteristic
208	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
209	C₂²⋊D₅	—	6	4	no	—
210	C₂²⋊D₅	—	6	4	no	—
211	C₂×Dic₅	—	6	2	no	—
212	D₂₀	—	3	4	no	—
213	D₂₀	—	6	2	no	—
214	C₄×D₅	—	6	4	no	—
215	C₄×D₅	—	6	4	no	—
216	Dic₁₀	—	3	4	no	—
217	Dic₁₀	—	6	2	no	—
218	C₅×C₈	C₂×C₄×D₃	1	2	yes	—
219	C₅×C₈	C₂×C₄×D₃	1	2	yes	—
220	C₅×C₈	C₂×D₁₂	1	2	yes	—
221	C₅×C₈	C₂×D₁₂	1	2	yes	—
222	#168	—	6	4	no	—
223	C₂×#41	—	15	2	no	—
224	#135	—	15	4	no	—
225	#135	—	15	4	no	—
226	C₂×Q₁₆	—	15	1	no	—
227	C₂×SD₁₆	—	15	2	no	—
228	C₂×D₈	—	15	1	no	—
229	#131	—	15	8	no	—
230	#131	—	30	4	no	—
231	C₂×M₁₆	—	15	2	no	—
232	C₂×M₁₆	—	30	2	no	—
233	C₂²×C₈	—	30	2	no	—
234	C₂²×C₈	C₂×D₁₅	1	1	yes	characteristic
235	C₂²×C₈	C₂×D₁₅	1	1	yes	characteristic
236	C₂×C₄²	C₂×D₁₅	1	1	yes	characteristic
237	#108	—	15	4	no	—
238	#104	—	15	8	no	—
239	C₄×C₈	C₂×D₁₅	1	4	yes	complemented
240	C₂×C₃×C₅	—	2	1	no	—
241	C₂×C₃×C₅	—	2	1	no	—
242	C₂×C₃×C₅	#443	1	2	yes	complemented
243	C₂×C₃×C₅	C₂×C₄×D₄	1	1	yes	characteristic
244	D₁₅	—	4	4	no	—
245	C₂³×C₃	#709	1	1	yes	characteristic
246	C₂²×D₃	—	10	2	no	—
247	C₂×C₃×C₄	—	2	4	no	—
248	C₂×C₃×C₄	—	2	2	no	—
249	C₂×C₃×C₄	C₂×C₄×D₅	1	1	yes	characteristic
250	C₂×C₃×C₄	C₂×C₄×D₅	1	1	yes	characteristic
251	C₂×C₃×C₄	C₂×D₂₀	1	1	yes	characteristic
252	C₂×C₃×C₄	C₂×D₂₀	1	1	yes	characteristic
253	C₂×C₃×C₄	#709	1	1	yes	characteristic
254	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
255	#67	—	10	4	no	—
256	#67	—	10	4	no	—
257	C₂×Dic₃	—	10	2	no	—
258	D₁₂	—	5	4	no	—
259	D₁₂	—	10	2	no	—
260	C₄×D₃	—	10	4	no	—
261	C₄×D₃	—	10	4	no	—
262	Dic₆	—	5	4	no	—
263	Dic₆	—	10	2	no	—
264	C₃×C₈	C₂×C₄×D₅	1	2	yes	—
265	C₃×C₈	C₂×C₄×D₅	1	2	yes	—
266	C₃×C₈	C₂×D₂₀	1	2	yes	—
267	C₃×C₈	C₂×D₂₀	1	2	yes	—
268	C₃⋊C₈	—	10	4	no	—
269	C₂²×C₅	—	2	2	no	—
270	C₂²×C₅	C₄×D₁₂	1	1	yes	characteristic
271	C₂²×C₅	C₄×D₁₂	1	1	yes	characteristic
272	C₂²×C₅	C₂×#235	1	1	yes	characteristic
273	C₂×D₅	—	6	4	no	—
274	C₂×D₅	—	12	4	no	—
275	C₄×C₅	—	2	4	no	—
276	C₄×C₅	C₄×D₁₂	1	1	yes	characteristic
277	C₄×C₅	C₄×D₁₂	1	1	yes	characteristic
278	C₄×C₅	C₂²×C₄×D₃	1	1	yes	characteristic
279	C₄×C₅	C₂²×D₁₂	1	1	yes	characteristic
280	Dic₅	—	6	4	no	—
281	#41	—	15	4	no	—
282	#41	—	15	4	no	—
283	#41	—	30	2	no	—
284	#41	—	30	2	no	—
285	C₂×Q₈	—	15	2	no	—
286	C₂×D₄	—	15	2	no	—
287	C₂×D₄	—	30	2	no	—
288	C₂²×C₄	—	2	1	no	—
289	C₂²×C₄	—	30	2	no	—
290	C₂²×C₄	C₂²×D₁₅	1	1	yes	characteristic
291	Q₁₆	—	15	4	no	—
292	SD₁₆	—	15	8	no	—
293	D₈	—	15	4	no	—
294	M₁₆	—	15	4	no	—
295	M₁₆	—	30	2	no	—
296	M₁₆	—	30	8	no	—
297	C₂×C₈	—	30	2	no	—
298	C₂×C₈	—	30	8	no	—
299	C₂×C₈	C₄×D₁₅	1	1	yes	characteristic
300	C₂×C₈	C₄×D₁₅	1	1	yes	characteristic
301	C₂×C₈	C₄×D₁₅	1	2	yes	—
302	C₂×C₈	D₆₀	1	1	yes	characteristic
303	C₂×C₈	D₆₀	1	2	yes	—
304	C₂×C₈	D₆₀	1	1	yes	characteristic
305	C₂×C₈	C₂²×D₁₅	1	2	yes	—
306	C₂×C₈	C₂²×D₁₅	1	2	yes	—
307	C₄²	—	2	1	no	—
308	C₄²	C₂²×D₁₅	1	2	yes	—
309	C₃×C₅	C₂×#443	1	1	yes	characteristic, complemented, Hall
310	C₂²×C₃	—	2	2	no	—
311	C₂²×C₃	C₄×D₂₀	1	1	yes	characteristic
312	C₂²×C₃	C₄×D₂₀	1	1	yes	characteristic
313	C₂²×C₃	C₂×#709	1	1	yes	characteristic
314	C₂×D₃	—	10	4	no	—
315	C₂×D₃	—	20	4	no	—
316	C₃×C₄	—	2	4	no	—
317	C₃×C₄	C₄×D₂₀	1	1	yes	characteristic
318	C₃×C₄	C₄×D₂₀	1	1	yes	characteristic
319	C₃×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
320	C₃×C₄	C₂²×D₂₀	1	1	yes	characteristic
321	Dic₃	—	10	4	no	—
322	C₂×C₅	—	2	1	no	—
323	C₂×C₅	—	2	1	no	—
324	C₂×C₅	#4700	1	2	yes	complemented
325	C₂×C₅	C₂×C₄×D₁₂	1	1	yes	characteristic
326	D₅	—	12	4	no	—
327	C₂³	—	30	2	no	—
328	C₂³	#6817	1	1	yes	characteristic
329	Q₈	—	15	4	no	—
330	Q₈	—	30	2	no	—
331	D₄	—	15	4	no	—
332	D₄	—	30	4	no	—
333	D₄	—	30	4	no	—
334	D₄	—	30	2	no	—
335	C₂×C₄	—	2	4	no	—
336	C₂×C₄	—	2	2	no	—
337	C₂×C₄	—	30	2	no	—
338	C₂×C₄	—	30	4	no	—
339	C₂×C₄	—	30	4	no	—
340	C₂×C₄	C₂×C₄×D₁₅	1	1	yes	characteristic
341	C₂×C₄	C₂×C₄×D₁₅	1	1	yes	characteristic
342	C₂×C₄	C₂×D₆₀	1	1	yes	characteristic
343	C₂×C₄	C₂×D₆₀	1	1	yes	characteristic
344	C₂×C₄	#6817	1	1	yes	characteristic
345	C₂×C₄	C₂³×D₁₅	1	1	yes	characteristic
346	C₈	—	30	4	no	—
347	C₈	C₂×C₄×D₁₅	1	2	yes	—
348	C₈	C₂×C₄×D₁₅	1	2	yes	—
349	C₈	C₂×D₆₀	1	2	yes	—
350	C₈	C₂×D₆₀	1	2	yes	—
351	C₂×C₃	—	2	1	no	—
352	C₂×C₃	—	2	1	no	—
353	C₂×C₃	#64989	1	2	yes	complemented
354	C₂×C₃	C₂×C₄×D₂₀	1	1	yes	characteristic
355	D₃	—	20	4	no	—
356	C₅	C₂×#4700	1	1	yes	characteristic, complemented, Sylow
357	C₂²	—	2	2	no	—
358	C₂²	—	30	4	no	—
359	C₂²	—	60	4	no	—
360	C₂²	C₄×D₆₀	1	1	yes	characteristic
361	C₂²	C₄×D₆₀	1	1	yes	characteristic
362	C₂²	C₂×#6817	1	1	yes	characteristic
363	C₄	—	2	4	no	—
364	C₄	—	30	4	no	—
365	C₄	C₄×D₆₀	1	1	yes	characteristic
366	C₄	C₄×D₆₀	1	1	yes	characteristic
367	C₄	C₂²×C₄×D₁₅	1	1	yes	characteristic
368	C₄	C₂²×D₆₀	1	1	yes	characteristic
369	C₃	C₂×#64989	1	1	yes	characteristic, complemented, Sylow
370	C₂	—	2	1	no	—
371	C₂	—	2	1	no	—
372	C₂	—	60	4	no	—
373	C₂	#11750801	1	2	yes	direct product factor
374	C₂	C₂×C₄×D₆₀	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₈	D₆₀
commutator	C₃×C₄×C₅	C₂³×C₄
Frattini	C₂×C₄	C₂³×D₁₅
Fitting	C₂×C₃×C₄×C₅×C₈	C₂
socle	C₂²×C₃×C₅	C₄×D₄
prime radical	C₂×#91793	C₂
cosocle	C₂×C₃×C₄×C₅	C₂⁴
hypercenter	C₂×C₄×C₈	D₁₅
hypocenter	C₃×C₅	C₂×#443
LCS	G ▷ C₃×C₄×C₅ ▷ C₂×C₃×C₅ ▷ C₃×C₅
UCS	C₁ ◁ C₂×C₈ ◁ C₂²×C₈ ◁ C₂×C₄×C₈

Complements

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

N	H ≅ G/N	type
2. C₂×#91790	C₂	semidirect
3. C₂×C₃×C₄×C₅×C₈	C₂	semidirect
4. C₂×#91103	C₂	semidirect
5. C₂×#91089	C₂	semidirect
6. #11750801	C₂	direct (N × H)
13. C₂×Dic₆₀	C₄	semidirect
14. #91793	C₄	semidirect
16. C₂×D₁₂₀	C₄	semidirect
17. C₂×#6706	C₄	semidirect
19. #91790	C₂²	semidirect
22. C₃×C₄×C₅×C₈	C₂²	semidirect
23. #91103	C₂²	semidirect
24. #91089	C₂²	semidirect
28. C₂×C₄×C₅×C₈	D₃	semidirect
55. Dic₆₀	C₂×C₄	semidirect
56. D₁₂₀	C₂×C₄	semidirect
57. #6706	C₂×C₄	semidirect
62. C₂×C₃×C₄×C₈	D₅	semidirect
80. C₄×C₅×C₈	C₂×D₃	semidirect
122. C₃×C₄×C₈	C₂×D₅	semidirect
158. C₂×C₄×C₈	D₁₅	semidirect
239. C₄×C₈	C₂×D₁₅	semidirect
242. C₂×C₃×C₅	#443	semidirect
309. C₃×C₅	C₂×#443	semidirect
324. C₂×C₅	#4700	semidirect
353. C₂×C₃	#64989	semidirect
356. C₅	C₂×#4700	semidirect
369. C₃	C₂×#64989	semidirect
373. C₂	#11750801	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×#91793	2
C₂×#91790	2
C₂×C₃×C₄×C₅×C₈	2
C₂×#91103	2
C₂×#91089	2
#11750801	2
C₂×#64989	3
C₂×#4700	5

Subgroups — C2×#11750801 #14417844

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#11750801 #14417844