Subgroups — C₂×#11748063 #14417972

Order 1920.

928 conjugacy classes of subgroups.

The subgroup lattice has 368 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×#904	C₂	1	1	yes	maximal, characteristic
2	C₂×#91286	C₂	1	2	yes	maximal, complemented
3	C₂×#91103	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₃×#3947	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#90979	C₂	1	2	yes	maximal, complemented
6	#11748063	C₂	1	8	yes	maximal, direct product factor
7	C₂×#65486	—	3	1	no	maximal, Hall
8	C₂×C₅×#235	C₂²	1	2	yes	—
9	C₂²×C₃×C₅×C₈	C₂²	1	1	yes	characteristic
10	C₂×#6710	C₂²	1	2	yes	—
11	C₂×C₅×Dic₁₂	C₄	1	1	yes	characteristic, complemented
12	C₅×#904	C₄	1	4	yes	complemented
13	C₅×#904	C₂²	1	4	yes	—
14	C₂×C₅×D₂₄	C₄	1	1	yes	characteristic, complemented
15	C₂×C₅×#204	C₄	1	2	yes	complemented
16	C₂×C₃×C₄×Dic₅	C₂²	1	1	yes	characteristic
17	C₂²×C₃×#168	C₂²	1	1	yes	characteristic
18	C₂×#6650	—	2	2	no	—
19	#91286	—	2	4	no	—
20	#91286	C₂²	1	8	yes	complemented
21	C₂×D₃×#168	—	2	2	no	—
22	#91103	C₂²	1	4	yes	complemented
23	C₃×#3947	C₂²	1	4	yes	complemented
24	#90979	C₂²	1	8	yes	complemented
25	C₂×#4717	—	5	1	no	maximal, Hall
26	C₂×C₅×#135	—	3	1	no	—
27	C₂×#4094	—	3	2	no	—
28	C₂×#3969	—	3	2	no	—
29	#65486	—	3	8	no	—
30	C₂×#3951	—	3	1	no	—
31	C₂×#3947	D₃	1	1	yes	characteristic, complemented
32	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
33	C₂×C₅×#67	—	2	2	no	—
34	C₅×#235	—	2	2	no	—
35	C₅×#235	—	2	2	no	—
36	C₅×#235	C₂×C₄	1	4	yes	—
37	C₅×#235	C₂³	1	4	yes	—
38	C₂×C₅×D₁₂	C₂×C₄	1	2	yes	—
39	C₂×C₄×C₅×D₃	—	2	2	no	—
40	C₂×C₅×Dic₆	C₂×C₄	1	2	yes	—
41	C₂²×C₃×Dic₅	—	2	1	no	—
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	C₂³	1	2	yes	—
46	#6710	—	2	2	no	—
47	#6710	C₂³	1	4	yes	—
48	C₂×C₃⋊#168	—	2	2	no	—
49	C₅×Dic₁₂	C₂×C₄	1	4	yes	complemented
50	C₅×D₂₄	C₂×C₄	1	4	yes	complemented
51	C₅×#204	C₂×C₄	1	8	yes	complemented
52	C₃×C₄×Dic₅	—	2	1	no	—
53	C₃×C₄×Dic₅	C₂³	1	2	yes	—
54	C₂×C₃×#168	D₄	1	2	yes	—
55	C₂×C₃×#168	D₄	1	2	yes	—
56	C₂×C₃×#168	C₂³	1	2	yes	—
57	#6650	—	2	8	no	—
58	D₃×#168	—	2	8	no	—
59	C₂×#904	D₅	1	1	yes	characteristic
60	C₂×#901	—	5	2	no	—
61	C₂×C₃×#97	—	5	1	no	—
62	C₂×#819	—	5	1	no	—
63	C₂×#805	—	5	2	no	—
64	#4717	—	5	8	no	—
65	C₂×C₅×#41	—	3	2	no	—
66	C₅×#135	—	3	4	no	—
67	C₅×#135	—	3	4	no	—
68	C₂×C₅×Q₁₆	—	3	1	no	—
69	C₂×C₅×SD₁₆	—	3	2	no	—
70	C₂×C₅×D₈	—	3	1	no	—
71	C₂²×C₅×C₈	C₂×D₃	1	1	yes	characteristic
72	#4094	—	3	8	no	—
73	#4094	—	6	4	no	—
74	C₂×C₄×Dic₅	C₂×D₃	1	1	yes	characteristic
75	C₂×#681	—	3	2	no	—
76	C₂×#681	—	6	2	no	—
77	C₂²×#168	—	6	2	no	—
78	C₂²×#168	C₂×D₃	1	1	yes	characteristic
79	#3969	—	3	8	no	—
80	#3951	—	3	4	no	—
81	#3947	C₂×D₃	1	4	yes	complemented
82	C₂×#444	—	15	1	no	Sylow
83	C₂³×C₃×C₅	#41	1	1	yes	characteristic
84	C₂²×C₅×D₃	—	2	2	no	—
85	C₂×C₃×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
86	C₂×C₃×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
87	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
88	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
89	C₂×C₃×C₄×C₅	#41	1	1	yes	characteristic
90	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
91	C₅×#67	—	2	4	no	—
92	C₅×#67	—	2	4	no	—
93	C₂×C₅×Dic₃	—	2	2	no	—
94	C₅×D₁₂	—	2	2	no	—
95	C₅×D₁₂	C₂²×C₄	1	4	yes	—
96	C₄×C₅×D₃	—	2	4	no	—
97	C₄×C₅×D₃	—	2	4	no	—
98	C₅×Dic₆	—	2	2	no	—
99	C₅×Dic₆	C₂²×C₄	1	4	yes	—
100	C₂×C₃×Dic₅	—	2	2	no	—
101	C₂×C₃×Dic₅	—	4	2	no	—
102	C₃×C₅×C₈	C₂²×C₄	1	2	yes	—
103	C₃×C₅×C₈	C₂²×C₄	1	2	yes	—
104	C₃⋊#168	—	2	4	no	—
105	C₃×#168	C₂×D₄	1	4	yes	—
106	C₂×#235	C₂×D₅	1	2	yes	—
107	C₂²×C₃×C₈	—	5	1	no	—
108	C₂²×C₃×C₈	C₂×D₅	1	1	yes	characteristic
109	C₂×C₃×C₄²	—	5	1	no	—
110	C₂×#208	—	5	2	no	—
111	C₂×Dic₁₂	Dic₅	1	1	yes	characteristic, complemented
112	#904	Dic₅	1	4	yes	complemented
113	#904	C₂×D₅	1	4	yes	—
114	C₂×D₂₄	Dic₅	1	1	yes	characteristic, complemented
115	C₂×#204	Dic₅	1	2	yes	complemented
116	#901	—	5	8	no	—
117	#901	—	10	4	no	—
118	C₂×ΓL(1,𝔽₂₅)	—	10	2	no	—
119	C₂×D₃×C₈	—	10	2	no	—
120	C₃×#97	—	5	4	no	—
121	#819	—	5	4	no	—
122	#805	—	5	8	no	—
123	C₅×#41	—	3	4	no	—
124	C₅×#41	—	3	4	no	—
125	C₅×#41	—	6	2	no	—
126	C₅×#41	—	6	2	no	—
127	C₂×C₅×Q₈	—	3	2	no	—
128	C₂×C₅×D₄	—	3	2	no	—
129	C₂×C₅×D₄	—	6	2	no	—
130	C₂²×C₄×C₅	—	6	2	no	—
131	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
132	C₂²×Dic₅	—	2	1	no	—
133	C₅×Q₁₆	—	3	4	no	—
134	C₅×SD₁₆	—	3	8	no	—
135	C₅×D₈	—	3	4	no	—
136	C₂×C₅×C₈	C₄×D₃	1	1	yes	characteristic
137	C₂×C₅×C₈	C₄×D₃	1	1	yes	characteristic
138	C₂×C₅×C₈	C₄×D₃	1	2	yes	—
139	C₂×C₅×C₈	C₂²×D₃	1	2	yes	—
140	C₄×Dic₅	—	2	1	no	—
141	C₄×Dic₅	C₂²×D₃	1	2	yes	—
142	#681	—	3	4	no	—
143	#681	—	6	2	no	—
144	#681	—	6	8	no	—
145	C₂×#168	—	6	2	no	—
146	C₂×#168	—	6	8	no	—
147	C₂×#168	D₁₂	1	2	yes	—
148	C₂×#168	D₁₂	1	2	yes	—
149	C₂×#168	C₂²×D₃	1	2	yes	—
150	C₂×#135	—	3	1	no	—
151	C₂×#131	—	15	2	no	—
152	#444	—	15	8	no	—
153	C₂×#108	—	15	1	no	—
154	C₂×#104	—	15	2	no	—
155	C₂×#97	—	5	1	no	—
156	C₂²×C₃×C₅	—	2	2	no	—
157	C₂²×C₃×C₅	C₄×D₄	1	1	yes	characteristic
158	C₂²×C₃×C₅	C₄×D₄	1	1	yes	characteristic
159	C₂²×C₃×C₅	C₂×#41	1	1	yes	characteristic
160	C₂×C₅×D₃	—	2	4	no	—
161	C₂×C₅×D₃	—	4	4	no	—
162	C₃×C₄×C₅	C₄×D₄	1	1	yes	characteristic
163	C₃×C₄×C₅	C₄×D₄	1	1	yes	characteristic
164	C₃×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
165	C₃×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
166	C₃×Dic₅	—	4	2	no	—
167	C₅×Dic₃	—	2	4	no	—
168	C₂²×C₃×C₄	—	10	1	no	—
169	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
170	C₂×#67	—	2	2	no	—
171	#235	—	2	2	no	—
172	#235	—	2	2	no	—
173	#235	C₂×Dic₅	1	4	yes	—
174	#235	C₂²×D₅	1	4	yes	—
175	C₂×D₁₂	C₂×Dic₅	1	2	yes	—
176	C₂×C₄×D₃	—	2	2	no	—
177	C₂×Dic₆	C₂×Dic₅	1	2	yes	—
178	C₂×C₃×C₈	—	5	2	no	—
179	C₂×C₃×C₈	—	5	2	no	—
180	C₂×C₃×C₈	—	5	2	no	—
181	C₂×C₃×C₈	C₂×Dic₅	1	1	yes	characteristic
182	C₂×C₃×C₈	C₂×Dic₅	1	1	yes	characteristic
183	C₂×C₃×C₈	C₂×Dic₅	1	2	yes	—
184	C₂×C₃×C₈	C₂²×D₅	1	2	yes	—
185	C₃×C₄²	—	5	2	no	—
186	C₃×C₄²	—	10	1	no	—
187	#208	—	5	4	no	—
188	#208	—	10	2	no	—
189	C₂×C₃⋊C₈	—	10	2	no	—
190	Dic₁₂	C₂×Dic₅	1	4	yes	complemented
191	D₂₄	C₂×Dic₅	1	4	yes	complemented
192	#204	C₂×Dic₅	1	8	yes	complemented
193	ΓL(1,𝔽₂₅)	—	10	8	no	—
194	D₃×C₈	—	10	8	no	—
195	C₂³×C₅	—	6	2	no	—
196	C₂³×C₅	#235	1	1	yes	characteristic
197	C₅×Q₈	—	3	4	no	—
198	C₅×Q₈	—	6	2	no	—
199	C₅×D₄	—	3	4	no	—
200	C₅×D₄	—	6	4	no	—
201	C₅×D₄	—	6	4	no	—
202	C₅×D₄	—	6	2	no	—
203	C₂×C₄×C₅	—	6	2	no	—
204	C₂×C₄×C₅	—	6	4	no	—
205	C₂×C₄×C₅	—	6	4	no	—
206	C₂×C₄×C₅	C₂×C₄×D₃	1	1	yes	characteristic
207	C₂×C₄×C₅	C₂×C₄×D₃	1	1	yes	characteristic
208	C₂×C₄×C₅	C₂×D₁₂	1	1	yes	characteristic
209	C₂×C₄×C₅	C₂×D₁₂	1	1	yes	characteristic
210	C₂×C₄×C₅	#235	1	1	yes	characteristic
211	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
212	C₂×Dic₅	—	2	2	no	—
213	C₂×Dic₅	—	4	2	no	—
214	C₅×C₈	C₂×C₄×D₃	1	2	yes	—
215	C₅×C₈	C₂×C₄×D₃	1	2	yes	—
216	#168	—	6	4	no	—
217	#168	C₂×D₁₂	1	4	yes	—
218	C₂×#41	—	3	2	no	—
219	#135	—	3	4	no	—
220	#135	—	3	4	no	—
221	C₂×Q₁₆	—	3	1	no	—
222	C₂×SD₁₆	—	3	2	no	—
223	C₂×D₈	—	3	1	no	—
224	#131	—	15	8	no	—
225	#131	—	30	4	no	—
226	C₂×M₁₆	—	15	2	no	—
227	C₂×M₁₆	—	30	2	no	—
228	C₂²×C₈	—	5	1	no	—
229	C₂²×C₈	—	30	2	no	—
230	C₂²×C₈	D₃×D₅	1	1	yes	characteristic
231	C₂×C₄²	—	5	1	no	—
232	#108	—	15	4	no	—
233	#104	—	15	8	no	—
234	#97	—	5	4	no	—
235	C₂×C₃×C₅	—	2	1	no	—
236	C₂×C₃×C₅	—	2	1	no	—
237	C₂×C₃×C₅	#444	1	2	yes	complemented
238	C₂×C₃×C₅	C₂×C₄×D₄	1	1	yes	characteristic
239	C₅×D₃	—	4	4	no	—
240	C₂³×C₃	#711	1	1	yes	characteristic
241	C₂²×D₃	—	2	2	no	—
242	C₂×C₃×C₄	—	10	2	no	—
243	C₂×C₃×C₄	—	20	2	no	—
244	C₂×C₃×C₄	D₄×D₅	1	1	yes	characteristic
245	C₂×C₃×C₄	D₄×D₅	1	1	yes	characteristic
246	C₂×C₃×C₄	#711	1	1	yes	characteristic
247	C₂×C₃×C₄	C₂²×Dic₅	1	1	yes	characteristic
248	C₂×C₃×C₄	C₂²×Dic₅	1	1	yes	characteristic
249	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
250	#67	—	2	4	no	—
251	#67	—	2	4	no	—
252	C₂×Dic₃	—	2	2	no	—
253	D₁₂	—	2	2	no	—
254	D₁₂	C₂²×Dic₅	1	4	yes	—
255	C₄×D₃	—	2	4	no	—
256	C₄×D₃	—	2	4	no	—
257	Dic₆	—	2	2	no	—
258	Dic₆	C₂²×Dic₅	1	4	yes	—
259	C₃×C₈	—	5	4	no	—
260	C₃×C₈	C₂²×Dic₅	1	2	yes	—
261	C₃×C₈	C₂²×Dic₅	1	2	yes	—
262	C₃⋊C₈	—	10	4	no	—
263	C₂²×C₅	—	2	2	no	—
264	C₂²×C₅	—	6	4	no	—
265	C₂²×C₅	—	12	4	no	—
266	C₂²×C₅	C₄×D₁₂	1	1	yes	characteristic
267	C₂²×C₅	C₄×D₁₂	1	1	yes	characteristic
268	C₂²×C₅	C₂×#235	1	1	yes	characteristic
269	C₄×C₅	—	6	4	no	—
270	C₄×C₅	C₄×D₁₂	1	1	yes	characteristic
271	C₄×C₅	C₄×D₁₂	1	1	yes	characteristic
272	C₄×C₅	C₂²×C₄×D₃	1	1	yes	characteristic
273	C₄×C₅	C₂²×D₁₂	1	1	yes	characteristic
274	Dic₅	—	4	2	no	—
275	#41	—	3	4	no	—
276	#41	—	3	4	no	—
277	#41	—	6	2	no	—
278	#41	—	6	2	no	—
279	C₂×Q₈	—	3	2	no	—
280	C₂×D₄	—	3	2	no	—
281	C₂×D₄	—	6	2	no	—
282	C₂²×C₄	—	6	2	no	—
283	C₂²×C₄	—	10	1	no	—
284	C₂²×C₄	C₂×D₃×D₅	1	1	yes	characteristic
285	Q₁₆	—	3	4	no	—
286	SD₁₆	—	3	8	no	—
287	D₈	—	3	4	no	—
288	M₁₆	—	15	4	no	—
289	M₁₆	—	30	8	no	—
290	M₁₆	—	30	2	no	—
291	C₂×C₈	—	5	2	no	—
292	C₂×C₈	—	5	2	no	—
293	C₂×C₈	—	5	2	no	—
294	C₂×C₈	—	30	8	no	—
295	C₂×C₈	—	30	2	no	—
296	C₂×C₈	D₃×Dic₅	1	1	yes	characteristic
297	C₂×C₈	D₃×Dic₅	1	1	yes	characteristic
298	C₂×C₈	D₃×Dic₅	1	2	yes	—
299	C₂×C₈	C₂×D₃×D₅	1	2	yes	—
300	C₄²	—	5	2	no	—
301	C₄²	—	10	1	no	—
302	C₃×C₅	C₂×#444	1	1	yes	characteristic, complemented, Hall
303	C₂²×C₃	—	2	2	no	—
304	C₂²×C₃	D₄×Dic₅	1	1	yes	characteristic
305	C₂²×C₃	D₄×Dic₅	1	1	yes	characteristic
306	C₂²×C₃	C₂×#711	1	1	yes	characteristic
307	C₂×D₃	—	2	4	no	—
308	C₂×D₃	—	4	4	no	—
309	C₃×C₄	—	20	2	no	—
310	C₃×C₄	D₄×Dic₅	1	1	yes	characteristic
311	C₃×C₄	D₄×Dic₅	1	1	yes	characteristic
312	C₃×C₄	C₂×D₄×D₅	1	1	yes	characteristic
313	C₃×C₄	C₂³×Dic₅	1	1	yes	characteristic
314	Dic₃	—	2	4	no	—
315	C₂×C₅	—	2	1	no	—
316	C₂×C₅	—	2	1	no	—
317	C₂×C₅	—	12	4	no	—
318	C₂×C₅	#4717	1	2	yes	complemented
319	C₂×C₅	C₂×C₄×D₁₂	1	1	yes	characteristic
320	C₂³	—	6	2	no	—
321	C₂³	#6772	1	1	yes	characteristic
322	Q₈	—	3	4	no	—
323	Q₈	—	6	2	no	—
324	D₄	—	3	4	no	—
325	D₄	—	6	4	no	—
326	D₄	—	6	4	no	—
327	D₄	—	6	2	no	—
328	C₂×C₄	—	6	2	no	—
329	C₂×C₄	—	6	4	no	—
330	C₂×C₄	—	6	4	no	—
331	C₂×C₄	—	10	2	no	—
332	C₂×C₄	—	20	2	no	—
333	C₂×C₄	#6772	1	1	yes	characteristic
334	C₂×C₄	D₅×D₁₂	1	1	yes	characteristic
335	C₂×C₄	D₅×D₁₂	1	1	yes	characteristic
336	C₂×C₄	C₂×D₃×Dic₅	1	1	yes	characteristic
337	C₂×C₄	C₂×D₃×Dic₅	1	1	yes	characteristic
338	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
339	C₈	—	5	4	no	—
340	C₈	—	30	4	no	—
341	C₈	C₂×D₃×Dic₅	1	2	yes	—
342	C₈	C₂×D₃×Dic₅	1	2	yes	—
343	C₂×C₃	—	2	1	no	—
344	C₂×C₃	—	2	1	no	—
345	C₂×C₃	#65486	1	2	yes	complemented
346	C₂×C₃	C₂×D₄×Dic₅	1	1	yes	characteristic
347	D₃	—	4	4	no	—
348	C₅	C₂×#4717	1	1	yes	characteristic, complemented, Sylow
349	C₂²	—	2	2	no	—
350	C₂²	—	6	4	no	—
351	C₂²	—	12	4	no	—
352	C₂²	Dic₅×D₁₂	1	1	yes	characteristic
353	C₂²	Dic₅×D₁₂	1	1	yes	characteristic
354	C₂²	C₂×#6772	1	1	yes	characteristic
355	C₄	—	6	4	no	—
356	C₄	—	20	2	no	—
357	C₄	Dic₅×D₁₂	1	1	yes	characteristic
358	C₄	Dic₅×D₁₂	1	1	yes	characteristic
359	C₄	C₂×D₅×D₁₂	1	1	yes	characteristic
360	C₄	C₂²×D₃×Dic₅	1	1	yes	characteristic
361	C₃	C₂×#65486	1	1	yes	characteristic, complemented, Sylow
362	C₂	—	2	1	no	—
363	C₂	—	2	1	no	—
364	C₂	—	12	4	no	—
365	C₂	#11748063	1	2	yes	direct product factor
366	C₂	C₂×Dic₅×D₁₂	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	D₅×D₁₂
commutator	C₃×C₄×C₅	C₂³×C₄
Frattini	C₂×C₄	C₂²×D₃×D₅
Fitting	C₂²×C₃×C₅×C₈	C₂²
socle	C₂²×C₃×C₅	C₄×D₄
prime radical	C₂×C₅×#904	C₂
cosocle	C₂×C₃×C₄×C₅	C₂⁴
hypercenter	C₂²×C₈	D₃×D₅
hypocenter	C₃×C₅	C₂×#444
LCS	G ▷ C₃×C₄×C₅ ▷ C₂×C₃×C₅ ▷ C₃×C₅
UCS	C₁ ◁ C₂×C₄ ◁ C₂²×C₄ ◁ C₂²×C₈

Complements

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

N	H ≅ G/N	type
2. C₂×#91286	C₂	semidirect
3. C₂×#91103	C₂	semidirect
4. C₂×C₃×#3947	C₂	semidirect
5. C₂×#90979	C₂	semidirect
6. #11748063	C₂	direct (N × H)
11. C₂×C₅×Dic₁₂	C₄	semidirect
12. C₅×#904	C₄	semidirect
14. C₂×C₅×D₂₄	C₄	semidirect
15. C₂×C₅×#204	C₄	semidirect
20. #91286	C₂²	semidirect
22. #91103	C₂²	semidirect
23. C₃×#3947	C₂²	semidirect
24. #90979	C₂²	semidirect
31. C₂×#3947	D₃	semidirect
49. C₅×Dic₁₂	C₂×C₄	semidirect
50. C₅×D₂₄	C₂×C₄	semidirect
51. C₅×#204	C₂×C₄	semidirect
81. #3947	C₂×D₃	semidirect
111. C₂×Dic₁₂	Dic₅	semidirect
112. #904	Dic₅	semidirect
114. C₂×D₂₄	Dic₅	semidirect
115. C₂×#204	Dic₅	semidirect
190. Dic₁₂	C₂×Dic₅	semidirect
191. D₂₄	C₂×Dic₅	semidirect
192. #204	C₂×Dic₅	semidirect
237. C₂×C₃×C₅	#444	semidirect
302. C₃×C₅	C₂×#444	semidirect
318. C₂×C₅	#4717	semidirect
345. C₂×C₃	#65486	semidirect
348. C₅	C₂×#4717	semidirect
361. C₃	C₂×#65486	semidirect
365. C₂	#11748063	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×C₅×#904	2
C₂×#91286	2
C₂×#91103	2
C₂×C₃×#3947	2
C₂×#90979	2
#11748063	2
C₂×#65486	3
C₂×#4717	5

Subgroups — C2×#11748063 #14417972

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#11748063 #14417972