Subgroups — C₂×#11746870 #14413785

Order 1920.

976 conjugacy classes of subgroups.

The subgroup lattice has 364 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×C₄²×D₅	C₂	1	1	yes	maximal, characteristic
2	C₂×#91087	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₅×#803	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#90982	C₂	1	2	yes	maximal, complemented
5	C₂×#90955	C₂	1	2	yes	maximal
6	#11746870	C₂	1	8	yes	maximal, direct product factor
7	C₂×#64994	—	3	1	no	maximal, Hall
8	C₂²×C₃×C₄×D₅	C₄	1	1	yes	characteristic
9	C₂²×C₃×C₄×D₅	C₄	1	1	yes	characteristic
10	C₂²×C₃×C₄×D₅	C₂²	1	1	yes	characteristic
11	C₂×C₃×C₄²×C₅	C₂²	1	1	yes	characteristic
12	C₂²×C₃⋊#168	C₂²	1	2	yes	—
13	C₂²×C₅×C₃⋊C₈	C₂²	1	2	yes	—
14	C₂×C₃×C₄×Dic₅	C₄	1	1	yes	characteristic
15	C₂×C₃×C₄×Dic₅	C₄	1	1	yes	characteristic
16	C₂×C₃×C₄×Dic₅	C₂²	1	1	yes	characteristic
17	C₃×C₄²×D₅	C₄	1	4	yes	—
18	C₃×C₄²×D₅	C₂²	1	4	yes	—
19	#91087	C₂²	1	4	yes	complemented
20	C₅×#803	C₂²	1	4	yes	complemented
21	#90982	C₂²	1	8	yes	complemented
22	#90955	C₂²	1	8	yes	—
23	C₂×#4926	—	5	1	no	maximal, Hall
24	C₂×C₄²×D₅	D₃	1	1	yes	characteristic
25	C₂×C₅×#97	—	3	1	no	—
26	C₂×#3952	—	3	2	no	—
27	C₂×#3946	—	3	2	no	—
28	C₂×#3935	—	3	1	no	—
29	#64994	—	3	8	no	—
30	C₂³×C₃×D₅	C₂×C₄	1	1	yes	characteristic
31	C₂²×C₃×C₄×C₅	C₂×C₄	1	1	yes	characteristic
32	C₂²×C₃×C₄×C₅	C₂×C₄	1	1	yes	characteristic
33	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
34	C₂²×C₃×Dic₅	C₂×C₄	1	1	yes	characteristic
35	C₂²×C₃×Dic₅	C₂×C₄	1	1	yes	characteristic
36	C₂²×C₃×Dic₅	C₂×C₄	1	1	yes	characteristic
37	C₂×C₃×C₄×D₅	—	2	4	no	—
38	C₂×C₃×C₄×D₅	—	2	4	no	—
39	C₂×C₃×C₄×D₅	—	2	4	no	—
40	C₂×C₃×C₄×D₅	C₂×C₄	1	4	yes	—
41	C₂×C₃×C₄×D₅	C₂×C₄	1	4	yes	—
42	C₂×C₃×C₄×D₅	C₂×C₄	1	2	yes	—
43	C₂×C₃×C₄×D₅	C₂³	1	2	yes	—
44	C₃×C₄²×C₅	C₂×C₄	1	2	yes	—
45	C₃×C₄²×C₅	C₂³	1	2	yes	—
46	C₂×C₃⋊#168	—	2	4	no	—
47	C₂×C₃⋊#168	C₂³	1	4	yes	—
48	C₂×C₅×C₃⋊C₈	—	2	4	no	—
49	C₂×C₅×C₃⋊C₈	C₂³	1	4	yes	—
50	C₃×C₄×Dic₅	C₂×C₄	1	2	yes	—
51	C₃×C₄×Dic₅	C₂×C₄	1	4	yes	—
52	C₃×C₄×Dic₅	C₂×C₄	1	4	yes	—
53	C₃×C₄×Dic₅	C₂³	1	2	yes	—
54	C₂²×C₃×C₄²	—	5	1	no	—
55	C₂×#830	—	5	2	no	—
56	#4926	—	5	8	no	—
57	C₂×C₄⋊(C₃⋊C₈)	—	5	2	no	—
58	C₂×#803	—	5	1	no	—
59	C₂×#803	D₅	1	1	yes	characteristic, complemented
60	C₂²×C₄×D₅	Dic₃	1	1	yes	characteristic
61	C₂²×C₄×D₅	Dic₃	1	1	yes	characteristic
62	C₂²×C₄×D₅	C₂×D₃	1	1	yes	characteristic
63	C₂²×C₅×C₈	—	3	2	no	—
64	C₂×C₄²×C₅	C₂×D₃	1	1	yes	characteristic
65	C₂×C₄×Dic₅	Dic₃	1	1	yes	characteristic
66	C₂×C₄×Dic₅	Dic₃	1	1	yes	characteristic
67	C₂×C₄×Dic₅	C₂×D₃	1	1	yes	characteristic
68	C₂²×#168	—	3	2	no	—
69	C₄²×D₅	Dic₃	1	4	yes	—
70	C₄²×D₅	C₂×D₃	1	4	yes	—
71	C₅×#97	—	3	4	no	—
72	#3952	—	3	8	no	—
73	#3946	—	3	8	no	—
74	#3935	—	3	4	no	—
75	C₂×#432	—	15	1	no	Sylow
76	C₂³×C₃×C₅	C₂²×C₄	1	1	yes	characteristic
77	C₂²×C₃×D₅	—	2	2	no	—
78	C₂²×C₃×D₅	—	2	2	no	—
79	C₂²×C₃×D₅	M₁₆	1	4	yes	—
80	C₂²×C₃×D₅	C₂²×C₄	1	2	yes	—
81	C₂×C₃×C₄×C₅	—	2	2	no	—
82	C₂×C₃×C₄×C₅	—	2	2	no	—
83	C₂×C₃×C₄×C₅	C₂²×C₄	1	2	yes	—
84	C₂×C₃×C₄×C₅	C₂²×C₄	1	2	yes	—
85	C₂×C₃×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
86	C₂×C₃×C₄×C₅	#41	1	4	yes	—
87	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
88	C₂×C₃×Dic₅	—	2	2	no	—
89	C₂×C₃×Dic₅	—	2	2	no	—
90	C₂×C₃×Dic₅	M₁₆	1	4	yes	—
91	C₂×C₃×Dic₅	C₂²×C₄	1	2	yes	—
92	C₂×C₃×Dic₅	C₂²×C₄	1	2	yes	—
93	C₂×C₃×Dic₅	C₂²×C₄	1	2	yes	—
94	C₃×C₄×D₅	—	2	8	no	—
95	C₃×C₄×D₅	—	2	4	no	—
96	C₃×C₄×D₅	—	2	4	no	—
97	C₃×C₄×D₅	—	2	8	no	—
98	C₃⋊#168	—	2	4	no	—
99	C₅×C₃⋊C₈	—	2	4	no	—
100	C₂³×C₃×C₄	—	5	1	no	—
101	C₂³×C₃×C₄	—	5	1	no	—
102	C₂³×C₃×C₄	—	5	1	no	—
103	C₂×C₃×C₄²	—	5	1	no	—
104	C₂×C₃×C₄²	—	5	1	no	—
105	C₂×C₃×C₄²	—	5	1	no	—
106	C₂×C₃×C₄²	—	5	4	no	—
107	C₂×C₃×C₄²	—	5	4	no	—
108	C₂×C₃×C₄²	C₂×D₅	1	1	yes	characteristic
109	C₂²×C₃⋊C₈	—	5	2	no	—
110	C₂²×C₃⋊C₈	C₂×D₅	1	2	yes	—
111	#830	—	5	8	no	—
112	C₄⋊(C₃⋊C₈)	—	5	8	no	—
113	#803	—	5	4	no	—
114	#803	C₂×D₅	1	4	yes	complemented
115	C₂³×D₅	C₂×Dic₃	1	1	yes	characteristic
116	C₂²×C₄×C₅	C₂×Dic₃	1	1	yes	characteristic
117	C₂²×C₄×C₅	C₂×Dic₃	1	1	yes	characteristic
118	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
119	C₂²×Dic₅	C₂×Dic₃	1	1	yes	characteristic
120	C₂²×Dic₅	C₂×Dic₃	1	1	yes	characteristic
121	C₂²×Dic₅	C₂×Dic₃	1	1	yes	characteristic
122	C₂×C₄×D₅	—	2	4	no	—
123	C₂×C₄×D₅	—	2	4	no	—
124	C₂×C₄×D₅	—	2	4	no	—
125	C₂×C₄×D₅	C₂×Dic₃	1	4	yes	—
126	C₂×C₄×D₅	C₂×Dic₃	1	4	yes	—
127	C₂×C₄×D₅	C₂×Dic₃	1	2	yes	—
128	C₂×C₄×D₅	C₂²×D₃	1	2	yes	—
129	C₂×C₅×C₈	—	3	4	no	—
130	C₂×C₅×C₈	—	6	4	no	—
131	C₄²×C₅	C₂×Dic₃	1	2	yes	—
132	C₄²×C₅	C₂²×D₃	1	2	yes	—
133	C₄×Dic₅	C₂×Dic₃	1	2	yes	—
134	C₄×Dic₅	C₂×Dic₃	1	4	yes	—
135	C₄×Dic₅	C₂×Dic₃	1	4	yes	—
136	C₄×Dic₅	C₂²×D₃	1	2	yes	—
137	C₂×#168	—	3	4	no	—
138	C₂×#168	—	6	4	no	—
139	C₂²×C₄²	—	5	1	no	—
140	#432	—	15	8	no	—
141	C₂×C₄⋊C₈	—	15	2	no	—
142	C₂×C₂²⋊C₈	—	15	2	no	—
143	C₂×#97	—	3	1	no	—
144	C₂×#97	—	15	1	no	—
145	C₂²×C₃×C₅	#117	1	2	yes	—
146	C₂²×C₃×C₅	C₂×M₁₆	1	2	yes	—
147	C₂²×C₃×C₅	C₂×M₁₆	1	2	yes	—
148	C₂²×C₃×C₅	C₂³×C₄	1	1	yes	characteristic
149	C₂×C₃×D₅	—	2	2	no	—
150	C₂×C₃×D₅	—	2	2	no	—
151	C₂×C₃×D₅	—	2	8	no	—
152	C₂×C₃×D₅	C₂×M₁₆	1	4	yes	—
153	C₃×C₄×C₅	—	2	2	no	—
154	C₃×C₄×C₅	—	2	2	no	—
155	C₃×C₄×C₅	#117	1	2	yes	—
156	C₃×C₄×C₅	C₂×#41	1	2	yes	—
157	C₃×Dic₅	—	2	2	no	—
158	C₃×Dic₅	—	2	2	no	—
159	C₃×Dic₅	C₂×M₁₆	1	4	yes	—
160	C₂⁴×C₃	—	5	1	no	—
161	C₂²×C₃×C₄	—	5	1	no	—
162	C₂²×C₃×C₄	—	5	1	no	—
163	C₂²×C₃×C₄	—	5	1	no	—
164	C₂²×C₃×C₄	—	5	4	no	—
165	C₂²×C₃×C₄	—	5	4	no	—
166	C₂²×C₃×C₄	—	5	2	no	—
167	C₂²×C₃×C₄	—	5	2	no	—
168	C₂²×C₃×C₄	—	10	4	no	—
169	C₂²×C₃×C₄	—	10	4	no	—
170	C₂²×C₃×C₄	—	10	4	no	—
171	C₂²×C₃×C₄	C₄×D₅	1	1	yes	characteristic
172	C₂²×C₃×C₄	C₄×D₅	1	1	yes	characteristic
173	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
174	C₃×C₄²	—	5	4	no	—
175	C₃×C₄²	—	5	2	no	—
176	C₃×C₄²	—	5	4	no	—
177	C₃×C₄²	—	5	2	no	—
178	C₃×C₄²	C₄×D₅	1	2	yes	—
179	C₃×C₄²	C₂²×D₅	1	2	yes	—
180	C₂×C₃⋊C₈	—	2	4	no	—
181	C₂×C₃⋊C₈	—	5	4	no	—
182	C₂×C₃⋊C₈	—	10	4	no	—
183	C₂×C₃⋊C₈	C₂²×D₅	1	4	yes	—
184	C₂³×C₅	C₂²×Dic₃	1	1	yes	characteristic
185	C₂²×D₅	—	2	2	no	—
186	C₂²×D₅	—	2	2	no	—
187	C₂²×D₅	#208	1	4	yes	—
188	C₂²×D₅	C₂²×Dic₃	1	2	yes	—
189	C₂×C₄×C₅	—	2	2	no	—
190	C₂×C₄×C₅	—	2	2	no	—
191	C₂×C₄×C₅	#235	1	4	yes	—
192	C₂×C₄×C₅	C₂²×Dic₃	1	2	yes	—
193	C₂×C₄×C₅	C₂²×Dic₃	1	2	yes	—
194	C₂×C₄×C₅	C₂²×Dic₃	1	1	yes	characteristic
195	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
196	C₂×Dic₅	—	2	2	no	—
197	C₂×Dic₅	—	2	2	no	—
198	C₂×Dic₅	#208	1	4	yes	—
199	C₂×Dic₅	C₂²×Dic₃	1	2	yes	—
200	C₂×Dic₅	C₂²×Dic₃	1	2	yes	—
201	C₂×Dic₅	C₂²×Dic₃	1	2	yes	—
202	C₄×D₅	—	2	8	no	—
203	C₄×D₅	—	2	4	no	—
204	C₄×D₅	—	2	4	no	—
205	C₄×D₅	—	2	8	no	—
206	C₅×C₈	—	6	4	no	—
207	#168	—	6	4	no	—
208	C₂³×C₄	—	5	1	no	—
209	C₂³×C₄	—	5	1	no	—
210	C₂³×C₄	—	5	1	no	—
211	C₂²×C₈	—	3	2	no	—
212	C₂²×C₈	—	15	2	no	—
213	C₂×C₄²	—	5	1	no	—
214	C₂×C₄²	—	5	1	no	—
215	C₂×C₄²	—	5	1	no	—
216	C₂×C₄²	—	5	4	no	—
217	C₂×C₄²	—	5	4	no	—
218	C₂×C₄²	D₃×D₅	1	1	yes	characteristic
219	C₄⋊C₈	—	15	8	no	—
220	C₂²⋊C₈	—	15	8	no	—
221	#97	—	3	4	no	—
222	#97	—	15	4	no	—
223	C₂×C₃×C₅	#432	1	4	yes	complemented
224	C₂×C₃×C₅	C₂×#117	1	1	yes	characteristic
225	C₂×C₃×C₅	C₂²×M₁₆	1	1	yes	characteristic
226	C₂×C₃×C₅	C₂²×M₁₆	1	1	yes	characteristic
227	C₃×D₅	—	2	4	no	—
228	C₂³×C₃	—	5	2	no	—
229	C₂³×C₃	—	5	4	no	—
230	C₂³×C₃	—	10	2	no	—
231	C₂³×C₃	—	10	2	no	—
232	C₂³×C₃	C₂×C₄×D₅	1	1	yes	characteristic
233	C₂×C₃×C₄	—	2	2	no	—
234	C₂×C₃×C₄	—	2	2	no	—
235	C₂×C₃×C₄	—	5	2	no	—
236	C₂×C₃×C₄	—	5	4	no	—
237	C₂×C₃×C₄	—	5	2	no	—
238	C₂×C₃×C₄	—	5	2	no	—
239	C₂×C₃×C₄	—	10	8	no	—
240	C₂×C₃×C₄	—	10	8	no	—
241	C₂×C₃×C₄	—	10	2	no	—
242	C₂×C₃×C₄	—	10	2	no	—
243	C₂×C₃×C₄	—	10	4	no	—
244	C₂×C₃×C₄	—	10	4	no	—
245	C₂×C₃×C₄	C₂×C₄×D₅	1	2	yes	—
246	C₂×C₃×C₄	C₂×C₄×D₅	1	2	yes	—
247	C₂×C₃×C₄	C₂×C₄×D₅	1	1	yes	characteristic
248	C₂×C₃×C₄	#709	1	4	yes	—
249	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
250	C₃⋊C₈	—	2	4	no	—
251	C₃⋊C₈	—	10	4	no	—
252	C₂²×C₅	C₂×#208	1	2	yes	—
253	C₂²×C₅	C₂×#208	1	2	yes	—
254	C₂²×C₅	#926	1	2	yes	—
255	C₂²×C₅	C₂³×Dic₃	1	1	yes	characteristic
256	C₂×D₅	—	2	8	no	—
257	C₂×D₅	—	2	2	no	—
258	C₂×D₅	—	2	2	no	—
259	C₂×D₅	C₂×#208	1	4	yes	—
260	C₄×C₅	—	2	2	no	—
261	C₄×C₅	—	2	2	no	—
262	C₄×C₅	#926	1	2	yes	—
263	C₄×C₅	C₂×#235	1	2	yes	—
264	Dic₅	—	2	2	no	—
265	Dic₅	—	2	2	no	—
266	Dic₅	C₂×#208	1	4	yes	—
267	C₂⁴	—	5	1	no	—
268	C₂²×C₄	—	5	1	no	—
269	C₂²×C₄	—	5	1	no	—
270	C₂²×C₄	—	5	1	no	—
271	C₂²×C₄	—	5	4	no	—
272	C₂²×C₄	—	5	4	no	—
273	C₂²×C₄	—	5	2	no	—
274	C₂²×C₄	—	5	2	no	—
275	C₂²×C₄	—	10	4	no	—
276	C₂²×C₄	—	10	4	no	—
277	C₂²×C₄	—	10	4	no	—
278	C₂²×C₄	D₅×Dic₃	1	1	yes	characteristic
279	C₂²×C₄	D₅×Dic₃	1	1	yes	characteristic
280	C₂²×C₄	C₂×D₃×D₅	1	1	yes	characteristic
281	C₂×C₈	—	3	4	no	—
282	C₂×C₈	—	6	4	no	—
283	C₂×C₈	—	15	4	no	—
284	C₂×C₈	—	30	4	no	—
285	C₄²	—	5	4	no	—
286	C₄²	—	5	2	no	—
287	C₄²	—	5	4	no	—
288	C₄²	—	5	2	no	—
289	C₄²	D₅×Dic₃	1	2	yes	—
290	C₄²	C₂×D₃×D₅	1	2	yes	—
291	C₃×C₅	C₂×#432	1	1	yes	characteristic, complemented, Hall
292	C₂²×C₃	—	5	4	no	—
293	C₂²×C₃	—	10	2	no	—
294	C₂²×C₃	—	10	2	no	—
295	C₂²×C₃	—	10	8	no	—
296	C₂²×C₃	#4018	1	2	yes	—
297	C₂²×C₃	D₅×M₁₆	1	2	yes	—
298	C₂²×C₃	D₅×M₁₆	1	2	yes	—
299	C₂²×C₃	C₂²×C₄×D₅	1	1	yes	characteristic
300	C₃×C₄	—	2	2	no	—
301	C₃×C₄	—	2	2	no	—
302	C₃×C₄	—	5	4	no	—
303	C₃×C₄	—	10	2	no	—
304	C₃×C₄	—	10	2	no	—
305	C₃×C₄	#4018	1	2	yes	—
306	C₃×C₄	C₂×#709	1	2	yes	—
307	C₂×C₅	#4926	1	4	yes	complemented
308	C₂×C₅	C₂²×#208	1	1	yes	characteristic
309	C₂×C₅	C₂²×#208	1	1	yes	characteristic
310	C₂×C₅	C₂×#926	1	1	yes	characteristic
311	D₅	—	2	4	no	—
312	C₂³	—	5	2	no	—
313	C₂³	—	5	4	no	—
314	C₂³	—	10	2	no	—
315	C₂³	—	10	2	no	—
316	C₂³	C₂×D₅×Dic₃	1	1	yes	characteristic
317	C₂×C₄	—	2	2	no	—
318	C₂×C₄	—	2	2	no	—
319	C₂×C₄	—	5	2	no	—
320	C₂×C₄	—	5	4	no	—
321	C₂×C₄	—	5	2	no	—
322	C₂×C₄	—	5	2	no	—
323	C₂×C₄	—	10	8	no	—
324	C₂×C₄	—	10	8	no	—
325	C₂×C₄	—	10	2	no	—
326	C₂×C₄	—	10	2	no	—
327	C₂×C₄	—	10	4	no	—
328	C₂×C₄	—	10	4	no	—
329	C₂×C₄	#6771	1	4	yes	—
330	C₂×C₄	C₂×D₅×Dic₃	1	2	yes	—
331	C₂×C₄	C₂×D₅×Dic₃	1	2	yes	—
332	C₂×C₄	C₂×D₅×Dic₃	1	1	yes	characteristic
333	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
334	C₈	—	6	4	no	—
335	C₈	—	30	4	no	—
336	C₂×C₃	—	10	4	no	—
337	C₂×C₃	#64994	1	4	yes	complemented
338	C₂×C₃	C₂×#4018	1	1	yes	characteristic
339	C₂×C₃	C₂×D₅×M₁₆	1	1	yes	characteristic
340	C₂×C₃	C₂×D₅×M₁₆	1	1	yes	characteristic
341	C₅	C₂×#4926	1	1	yes	characteristic, complemented, Sylow
342	C₂²	—	5	4	no	—
343	C₂²	—	10	8	no	—
344	C₂²	—	10	2	no	—
345	C₂²	—	10	2	no	—
346	C₂²	D₅×#208	1	2	yes	—
347	C₂²	D₅×#208	1	2	yes	—
348	C₂²	#91357	1	2	yes	—
349	C₂²	C₂²×D₅×Dic₃	1	1	yes	characteristic
350	C₄	—	2	2	no	—
351	C₄	—	2	2	no	—
352	C₄	—	5	4	no	—
353	C₄	—	10	2	no	—
354	C₄	—	10	2	no	—
355	C₄	#91357	1	2	yes	—
356	C₄	C₂×#6771	1	2	yes	—
357	C₃	C₂×#64994	1	1	yes	characteristic, complemented, Sylow
358	C₂	—	10	4	no	—
359	C₂	#11746870	1	4	yes	direct product factor
360	C₂	C₂×D₅×#208	1	1	yes	characteristic
361	C₂	C₂×D₅×#208	1	1	yes	characteristic
362	C₂	C₂×#91357	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂×D₃×D₅
commutator	C₂²×C₃×C₅	C₂³×C₄
Frattini	C₂×C₄	C₂²×D₃×D₅
Fitting	C₂×C₃×C₄²×C₅	C₂²
socle	C₂³×C₃×C₅	C₂²×C₄
prime radical	C₂³×C₃×D₅	C₂×C₄
cosocle	C₂×C₃×C₄×C₅	C₂⁴
hypercenter	C₂×C₄²	D₃×D₅
hypocenter	C₃×C₅	C₂×#432
LCS	G ▷ C₂²×C₃×C₅ ▷ C₃×C₅
UCS	C₁ ◁ C₂²×C₄ ◁ C₂×C₄²

Complements

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

N	H ≅ G/N	type
2. C₂×#91087	C₂	semidirect
3. C₂×C₅×#803	C₂	semidirect
4. C₂×#90982	C₂	semidirect
6. #11746870	C₂	direct (N × H)
19. #91087	C₂²	semidirect
20. C₅×#803	C₂²	semidirect
21. #90982	C₂²	semidirect
59. C₂×#803	D₅	semidirect
114. #803	C₂×D₅	semidirect
223. C₂×C₃×C₅	#432	semidirect
291. C₃×C₅	C₂×#432	semidirect
307. C₂×C₅	#4926	semidirect
337. C₂×C₃	#64994	semidirect
341. C₅	C₂×#4926	semidirect
357. C₃	C₂×#64994	semidirect
359. C₂	#11746870	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×C₃×C₄²×D₅	2
C₂×#91087	2
C₂×C₅×#803	2
C₂×#90982	2
C₂×#90955	2
#11746870	2
C₂×#64994	3
C₂×#4926	5

Subgroups — C2×#11746870 #14413785

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#11746870 #14413785