Subgroups — C₂×C₄×C₂²⋊#1055 #15860430

Order 3328.

2414 conjugacy classes of subgroups.

The subgroup lattice has 324 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₂²⋊#1055	C₂	1	2	yes	maximal
2	C₂²×C₄×#1055	C₂	1	2	yes	maximal, complemented
3	C₄×C₂²⋊#1055	C₂	1	8	yes	maximal, direct product factor
4	C₂×#11718116	C₂	1	2	yes	maximal, complemented
5	C₂³×C₄²×C₁₃	C₂	1	1	yes	maximal, characteristic
6	C₂⁴×C₄×C₁₃	C₄	1	2	yes	—
7	C₂⁴×C₄×C₁₃	C₂²	1	1	yes	characteristic
8	C₂²×C₄²×C₁₃	—	2	8	no	—
9	C₂²×C₄²×C₁₃	C₄	1	2	yes	—
10	C₂²×C₄²×C₁₃	C₄	1	4	yes	—
11	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
12	C₂²×C₄²×C₁₃	C₂²	1	4	yes	—
13	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
14	C₂³×#1055	C₂²	1	4	yes	—
15	C₂×C₂²⋊#1055	C₄	1	16	yes	direct product factor
16	C₂×C₂²⋊#1055	C₂²	1	8	yes	—
17	C₂×C₄×#1055	—	2	8	no	—
18	C₂×C₄×#1055	C₂²	1	8	yes	complemented
19	#11718116	C₂²	1	8	yes	complemented
20	C₂⁵×C₁₃	C₂×C₄	1	1	yes	characteristic
21	C₂³×C₄×C₁₃	—	2	8	no	—
22	C₂³×C₄×C₁₃	—	2	8	no	—
23	C₂³×C₄×C₁₃	—	2	4	no	—
24	C₂³×C₄×C₁₃	—	2	4	no	—
25	C₂³×C₄×C₁₃	C₈	1	16	yes	complemented
26	C₂³×C₄×C₁₃	C₂×C₄	1	8	yes	—
27	C₂³×C₄×C₁₃	C₂×C₄	1	1	yes	characteristic
28	C₂³×C₄×C₁₃	C₂×C₄	1	2	yes	—
29	C₂³×C₄×C₁₃	C₂×C₄	1	2	yes	—
30	C₂³×C₄×C₁₃	C₂×C₄	1	8	yes	—
31	C₂³×C₄×C₁₃	C₂×C₄	1	2	yes	—
32	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
33	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
34	C₂×C₄²×C₁₃	—	2	8	no	—
35	C₂×C₄²×C₁₃	—	2	4	no	—
36	C₂×C₄²×C₁₃	—	2	16	no	—
37	C₂×C₄²×C₁₃	—	2	16	no	—
38	C₂×C₄²×C₁₃	C₂×C₄	1	8	yes	—
39	C₂×C₄²×C₁₃	C₂×C₄	1	2	yes	—
40	C₂×C₄²×C₁₃	C₂×C₄	1	2	yes	—
41	C₂×C₄²×C₁₃	D₄	1	8	yes	—
42	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
43	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
44	C₂²×#1055	—	2	8	no	—
45	C₂²×#1055	—	2	8	no	—
46	C₂²×#1055	C₂×C₄	1	16	yes	complemented
47	C₂²×#1055	C₂³	1	8	yes	—
48	C₂²⋊#1055	C₂×C₄	1	32	yes	direct product factor
49	C₄×#1055	—	2	16	no	—
50	C₂×C₄×C₂²⋊C₈	—	13	1	no	maximal, Sylow
51	C₂⁴×C₁₃	—	2	2	no	—
52	C₂⁴×C₁₃	—	2	2	no	—
53	C₂⁴×C₁₃	—	2	4	no	—
54	C₂⁴×C₁₃	C₄²	1	4	yes	—
55	C₂⁴×C₁₃	C₂×C₈	1	8	yes	—
56	C₂⁴×C₁₃	C₂²×C₄	1	2	yes	—
57	C₂⁴×C₁₃	C₂²×C₄	1	1	yes	characteristic
58	C₂²×C₄×C₁₃	—	2	2	no	—
59	C₂²×C₄×C₁₃	—	2	4	no	—
60	C₂²×C₄×C₁₃	—	2	2	no	—
61	C₂²×C₄×C₁₃	—	2	4	no	—
62	C₂²×C₄×C₁₃	—	2	64	no	—
63	C₂²×C₄×C₁₃	—	2	4	no	—
64	C₂²×C₄×C₁₃	—	2	16	no	—
65	C₂²×C₄×C₁₃	—	2	4	no	—
66	C₂²×C₄×C₁₃	—	2	32	no	—
67	C₂²×C₄×C₁₃	—	2	16	no	—
68	C₂²×C₄×C₁₃	—	2	4	no	—
69	C₂²×C₄×C₁₃	—	2	4	no	—
70	C₂²×C₄×C₁₃	C₄²	1	4	yes	—
71	C₂²×C₄×C₁₃	C₄²	1	8	yes	—
72	C₂²×C₄×C₁₃	C₂²⋊C₄	1	8	yes	—
73	C₂²×C₄×C₁₃	C₂×C₈	1	8	yes	—
74	C₂²×C₄×C₁₃	C₂×C₈	1	8	yes	—
75	C₂²×C₄×C₁₃	C₂×C₈	1	32	yes	complemented
76	C₂²×C₄×C₁₃	M₁₆	1	8	yes	—
77	C₂²×C₄×C₁₃	C₂²×C₄	1	8	yes	—
78	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
79	C₂²×C₄×C₁₃	C₂²×C₄	1	2	yes	—
80	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
81	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
82	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
83	C₂²×C₄×C₁₃	C₂×D₄	1	4	yes	—
84	C₂²×C₄×C₁₃	#41	1	4	yes	—
85	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
86	C₄²×C₁₃	—	2	4	no	—
87	C₄²×C₁₃	—	2	16	no	—
88	C₄²×C₁₃	—	2	4	no	—
89	C₄²×C₁₃	C₂²⋊C₄	1	8	yes	—
90	C₄²×C₁₃	C₂×D₄	1	8	yes	—
91	C₂×#1055	—	2	32	no	—
92	C₂×#1055	—	2	8	no	—
93	C₂×#1055	—	2	8	no	—
94	C₂×#1055	C₂²×C₄	1	16	yes	complemented
95	C₂³×C₄²	D₁₃	1	1	yes	characteristic
96	C₂²×C₂²⋊C₈	—	13	2	no	—
97	C₂²×C₄×C₈	—	13	2	no	—
98	C₄×C₂²⋊C₈	—	13	8	no	—
99	C₂×#336	—	13	2	no	—
100	C₂³×C₁₃	—	2	2	no	—
101	C₂³×C₁₃	—	2	2	no	—
102	C₂³×C₁₃	—	2	4	no	—
103	C₂³×C₁₃	—	2	8	no	—
104	C₂³×C₁₃	—	2	8	no	—
105	C₂³×C₁₃	—	2	16	no	—
106	C₂³×C₁₃	—	2	16	no	—
107	C₂³×C₁₃	C₄×C₈	1	16	yes	complemented
108	C₂³×C₁₃	C₂×C₄²	1	4	yes	—
109	C₂³×C₁₃	C₂×C₄²	1	2	yes	—
110	C₂³×C₁₃	C₂×C₂²⋊C₄	1	2	yes	—
111	C₂³×C₁₃	#117	1	2	yes	—
112	C₂³×C₁₃	C₂²×C₈	1	8	yes	—
113	C₂³×C₁₃	C₂²×C₈	1	4	yes	—
114	C₂³×C₁₃	C₂×M₁₆	1	4	yes	—
115	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
116	C₂×C₄×C₁₃	—	2	4	no	—
117	C₂×C₄×C₁₃	—	2	2	no	—
118	C₂×C₄×C₁₃	—	2	2	no	—
119	C₂×C₄×C₁₃	—	2	4	no	—
120	C₂×C₄×C₁₃	—	2	8	no	—
121	C₂×C₄×C₁₃	—	2	16	no	—
122	C₂×C₄×C₁₃	—	2	16	no	—
123	C₂×C₄×C₁₃	—	2	16	no	—
124	C₂×C₄×C₁₃	—	2	64	no	—
125	C₂×C₄×C₁₃	C₂²⋊C₈	1	32	yes	complemented
126	C₂×C₄×C₁₃	C₂×C₄²	1	4	yes	—
127	C₂×C₄×C₁₃	C₂×C₄²	1	2	yes	—
128	C₂×C₄×C₁₃	C₂×C₂²⋊C₄	1	2	yes	—
129	C₂×C₄×C₁₃	C₂×C₂²⋊C₄	1	8	yes	—
130	C₂×C₄×C₁₃	#117	1	2	yes	—
131	C₂×C₄×C₁₃	C₄×D₄	1	16	yes	—
132	C₂×C₄×C₁₃	C₂²×C₈	1	8	yes	—
133	C₂×C₄×C₁₃	C₂²×C₈	1	8	yes	—
134	C₂×C₄×C₁₃	C₂×M₁₆	1	8	yes	—
135	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
136	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
137	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
138	#1055	—	2	16	no	—
139	C₂⁴×C₄	Dic₁₃	1	2	yes	—
140	C₂⁴×C₄	C₂×D₁₃	1	1	yes	characteristic
141	C₂³×C₈	—	13	4	no	—
142	C₂²×C₄²	—	2	8	no	—
143	C₂²×C₄²	Dic₁₃	1	2	yes	—
144	C₂²×C₄²	Dic₁₃	1	4	yes	—
145	C₂²×C₄²	C₂×D₁₃	1	1	yes	characteristic
146	C₂²×C₄²	C₂×D₁₃	1	4	yes	—
147	C₂²×C₄²	C₂×D₁₃	1	1	yes	characteristic
148	C₂×C₂²⋊C₈	—	13	16	no	—
149	C₂×C₂²⋊C₈	—	13	8	no	—
150	C₂×C₄×C₈	—	13	8	no	—
151	C₂×C₄×C₈	—	26	8	no	—
152	#336	—	13	8	no	—
153	C₂²×C₁₃	—	2	4	no	—
154	C₂²×C₁₃	—	2	8	no	—
155	C₂²×C₁₃	—	2	8	no	—
156	C₂²×C₁₃	—	2	32	no	—
157	C₂²×C₁₃	—	2	4	no	—
158	C₂²×C₁₃	C₄×C₂²⋊C₄	1	4	yes	—
159	C₂²×C₁₃	C₂×C₄×C₈	1	4	yes	—
160	C₂²×C₁₃	C₂×C₄×C₈	1	8	yes	complemented
161	C₂²×C₁₃	C₄×M₁₆	1	4	yes	—
162	C₂²×C₁₃	C₂×C₂²⋊C₈	1	8	yes	—
163	C₂²×C₁₃	#431	1	8	yes	—
164	C₂²×C₁₃	C₂²×C₄²	1	1	yes	characteristic
165	C₂²×C₁₃	C₂²×C₂²⋊C₄	1	1	yes	characteristic
166	C₂²×C₁₃	C₂×#117	1	1	yes	characteristic
167	C₂²×C₁₃	C₂³×C₈	1	2	yes	—
168	C₂²×C₁₃	C₂²×M₁₆	1	2	yes	—
169	C₄×C₁₃	—	2	8	no	—
170	C₄×C₁₃	—	2	4	no	—
171	C₄×C₁₃	C₄×C₂²⋊C₄	1	4	yes	—
172	C₄×C₁₃	C₂×C₂²⋊C₈	1	16	yes	complemented
173	C₄×C₁₃	C₂×C₄×D₄	1	4	yes	—
174	C₂⁵	C₂×Dic₁₃	1	1	yes	characteristic
175	C₂³×C₄	—	2	8	no	—
176	C₂³×C₄	—	2	8	no	—
177	C₂³×C₄	—	2	4	no	—
178	C₂³×C₄	—	2	4	no	—
179	C₂³×C₄	#1055	1	16	yes	complemented
180	C₂³×C₄	C₄×D₁₃	1	8	yes	—
181	C₂³×C₄	C₂×Dic₁₃	1	2	yes	—
182	C₂³×C₄	C₂×Dic₁₃	1	8	yes	—
183	C₂³×C₄	C₂×Dic₁₃	1	1	yes	characteristic
184	C₂³×C₄	C₂×Dic₁₃	1	2	yes	—
185	C₂³×C₄	C₂×Dic₁₃	1	2	yes	—
186	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
187	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
188	C₂²×C₈	—	13	16	no	—
189	C₂²×C₈	—	13	8	no	—
190	C₂²×C₈	—	26	8	no	—
191	C₂²×C₈	—	26	8	no	—
192	C₂×C₄²	—	2	8	no	—
193	C₂×C₄²	—	2	4	no	—
194	C₂×C₄²	—	2	16	no	—
195	C₂×C₄²	—	2	16	no	—
196	C₂×C₄²	C₂×Dic₁₃	1	2	yes	—
197	C₂×C₄²	C₂×Dic₁₃	1	8	yes	—
198	C₂×C₄²	C₂×Dic₁₃	1	2	yes	—
199	C₂×C₄²	C₂²⋊D₁₃	1	8	yes	—
200	C₂×C₄²	C₂²×D₁₃	1	2	yes	—
201	C₂×C₄²	C₂²×D₁₃	1	2	yes	—
202	C₂²⋊C₈	—	13	32	no	—
203	C₄×C₈	—	26	16	no	—
204	C₂×C₁₃	—	2	8	no	—
205	C₂×C₁₃	C₄×C₂²⋊C₈	1	8	yes	complemented
206	C₂×C₁₃	C₂×C₄×C₂²⋊C₄	1	1	yes	characteristic
207	C₂×C₁₃	C₂²×C₄×C₈	1	1	yes	characteristic
208	C₂×C₁₃	C₂×C₄×M₁₆	1	1	yes	characteristic
209	C₂×C₁₃	C₂²×C₂²⋊C₈	1	2	yes	—
210	C₂×C₁₃	C₂×#431	1	2	yes	—
211	C₂⁴	—	2	4	no	—
212	C₂⁴	—	2	2	no	—
213	C₂⁴	—	2	2	no	—
214	C₂⁴	C₂×#1055	1	8	yes	—
215	C₂⁴	C₄×Dic₁₃	1	4	yes	—
216	C₂⁴	C₂²×Dic₁₃	1	2	yes	—
217	C₂⁴	C₂²×Dic₁₃	1	1	yes	characteristic
218	C₂²×C₄	—	2	4	no	—
219	C₂²×C₄	—	2	2	no	—
220	C₂²×C₄	—	2	4	no	—
221	C₂²×C₄	—	2	2	no	—
222	C₂²×C₄	—	2	64	no	—
223	C₂²×C₄	—	2	16	no	—
224	C₂²×C₄	—	2	4	no	—
225	C₂²×C₄	—	2	32	no	—
226	C₂²×C₄	—	2	16	no	—
227	C₂²×C₄	—	2	4	no	—
228	C₂²×C₄	—	2	4	no	—
229	C₂²×C₄	—	2	4	no	—
230	C₂²×C₄	C₂×#1055	1	8	yes	—
231	C₂²×C₄	C₂×#1055	1	8	yes	—
232	C₂²×C₄	C₂×#1055	1	32	yes	complemented
233	C₂²×C₄	#6099	1	8	yes	—
234	C₂²×C₄	C₄×Dic₁₃	1	4	yes	—
235	C₂²×C₄	C₄×Dic₁₃	1	8	yes	—
236	C₂²×C₄	C₂²⋊Dic₁₃	1	8	yes	—
237	C₂²×C₄	C₂×C₄×D₁₃	1	8	yes	—
238	C₂²×C₄	C₂×C₄×D₁₃	1	4	yes	—
239	C₂²×C₄	#6127	1	4	yes	—
240	C₂²×C₄	C₂²×Dic₁₃	1	4	yes	—
241	C₂²×C₄	C₂²×Dic₁₃	1	2	yes	—
242	C₂²×C₄	C₂²×Dic₁₃	1	4	yes	—
243	C₂²×C₄	C₂²×Dic₁₃	1	1	yes	characteristic
244	C₂²×C₄	C₂×C₂²⋊D₁₃	1	4	yes	—
245	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
246	C₂×C₈	—	13	16	no	—
247	C₂×C₈	—	26	32	no	—
248	C₂×C₈	—	26	8	no	—
249	C₂×C₈	—	26	8	no	—
250	C₄²	—	2	16	no	—
251	C₄²	—	2	4	no	—
252	C₄²	—	2	4	no	—
253	C₄²	C₂²⋊Dic₁₃	1	8	yes	—
254	C₄²	C₂×C₂²⋊D₁₃	1	8	yes	—
255	C₁₃	C₂×C₄×C₂²⋊C₈	1	1	yes	characteristic, complemented, Sylow
256	C₂³	—	2	4	no	—
257	C₂³	—	2	2	no	—
258	C₂³	—	2	2	no	—
259	C₂³	—	2	8	no	—
260	C₂³	—	2	16	no	—
261	C₂³	—	2	16	no	—
262	C₂³	—	2	8	no	—
263	C₂³	C₄×#1055	1	16	yes	complemented
264	C₂³	C₂²×#1055	1	8	yes	—
265	C₂³	C₂²×#1055	1	4	yes	—
266	C₂³	C₂×#6099	1	4	yes	—
267	C₂³	C₂×C₄×Dic₁₃	1	4	yes	—
268	C₂³	C₂×C₄×Dic₁₃	1	2	yes	—
269	C₂³	#88180	1	2	yes	—
270	C₂³	C₂×C₂²⋊Dic₁₃	1	2	yes	—
271	C₂³	C₂³×Dic₁₃	1	1	yes	characteristic
272	C₂×C₄	—	2	4	no	—
273	C₂×C₄	—	2	2	no	—
274	C₂×C₄	—	2	4	no	—
275	C₂×C₄	—	2	2	no	—
276	C₂×C₄	—	2	16	no	—
277	C₂×C₄	—	2	8	no	—
278	C₂×C₄	—	2	16	no	—
279	C₂×C₄	—	2	64	no	—
280	C₂×C₄	—	2	16	no	—
281	C₂×C₄	C₂²⋊#1055	1	32	yes	direct product factor
282	C₂×C₄	C₂²×#1055	1	8	yes	—
283	C₂×C₄	C₂²×#1055	1	8	yes	—
284	C₂×C₄	C₂×#6099	1	8	yes	—
285	C₂×C₄	C₂×C₄×Dic₁₃	1	4	yes	—
286	C₂×C₄	C₂×C₄×Dic₁₃	1	2	yes	—
287	C₂×C₄	#88180	1	2	yes	—
288	C₂×C₄	C₄×C₂²⋊D₁₃	1	16	yes	—
289	C₂×C₄	C₂×C₂²⋊Dic₁₃	1	8	yes	—
290	C₂×C₄	C₂×C₂²⋊Dic₁₃	1	2	yes	—
291	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
292	C₂×C₄	C₂×#6127	1	2	yes	—
293	C₂×C₄	C₂²×C₂²⋊D₁₃	1	2	yes	—
294	C₈	—	26	16	no	—
295	C₂²	—	2	8	no	—
296	C₂²	—	2	4	no	—
297	C₂²	—	2	8	no	—
298	C₂²	—	2	32	no	—
299	C₂²	—	2	4	no	—
300	C₂²	C₂×C₄×#1055	1	4	yes	—
301	C₂²	C₂×C₄×#1055	1	8	yes	complemented
302	C₂²	C₄×#6099	1	4	yes	—
303	C₂²	#11718586	1	8	yes	—
304	C₂²	C₂×C₂²⋊#1055	1	8	yes	—
305	C₂²	C₄×C₂²⋊Dic₁₃	1	4	yes	—
306	C₂²	C₂³×#1055	1	2	yes	—
307	C₂²	C₂²×#6099	1	2	yes	—
308	C₂²	C₂²×C₄×Dic₁₃	1	1	yes	characteristic
309	C₂²	C₂×#88180	1	1	yes	characteristic
310	C₂²	C₂²×C₂²⋊Dic₁₃	1	1	yes	characteristic
311	C₄	—	2	8	no	—
312	C₄	—	2	4	no	—
313	C₄	C₂×C₂²⋊#1055	1	16	yes	direct product factor
314	C₄	C₄×C₂²⋊Dic₁₃	1	4	yes	—
315	C₄	C₂×C₄×C₂²⋊D₁₃	1	4	yes	—
316	C₂	—	2	8	no	—
317	C₂	C₄×C₂²⋊#1055	1	8	yes	direct product factor
318	C₂	C₂×C₄×C₂²⋊Dic₁₃	1	1	yes	characteristic
319	C₂	C₂²×C₄×#1055	1	1	yes	characteristic
320	C₂	C₂×C₄×#6099	1	1	yes	characteristic
321	C₂	C₂²×C₂²⋊#1055	1	2	yes	—
322	C₂	C₂×#11718586	1	2	yes	—

	subgroup	G/H
center	C₂²×C₄²	C₂×D₁₃
commutator	C₂×C₁₃	C₂²×C₄×C₈
Frattini	C₂²×C₄	C₂³×D₁₃
Fitting	C₂³×C₄²×C₁₃	C₂
socle	C₂⁴×C₁₃	C₂²×C₄
prime radical	C₂⁵×C₁₃	C₂×C₄
cosocle	C₂²×C₄×C₁₃	C₂⁴
hypercenter	C₂³×C₄²	D₁₃
hypocenter	C₁₃	C₂×C₄×C₂²⋊C₈
LCS	G ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂²×C₄² ◁ C₂³×C₄²

Complements

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

N	H ≅ G/N	type
2. C₂²×C₄×#1055	C₂	semidirect
3. C₄×C₂²⋊#1055	C₂	direct (N × H)
4. C₂×#11718116	C₂	semidirect
15. C₂×C₂²⋊#1055	C₄	direct (N × H)
18. C₂×C₄×#1055	C₂²	semidirect
19. #11718116	C₂²	semidirect
25. C₂³×C₄×C₁₃	C₈	semidirect
46. C₂²×#1055	C₂×C₄	semidirect
48. C₂²⋊#1055	C₂×C₄	direct (N × H)
75. C₂²×C₄×C₁₃	C₂×C₈	semidirect
94. C₂×#1055	C₂²×C₄	semidirect
107. C₂³×C₁₃	C₄×C₈	semidirect
125. C₂×C₄×C₁₃	C₂²⋊C₈	semidirect
160. C₂²×C₁₃	C₂×C₄×C₈	semidirect
172. C₄×C₁₃	C₂×C₂²⋊C₈	semidirect
179. C₂³×C₄	#1055	semidirect
205. C₂×C₁₃	C₄×C₂²⋊C₈	semidirect
232. C₂²×C₄	C₂×#1055	semidirect
255. C₁₃	C₂×C₄×C₂²⋊C₈	semidirect
263. C₂³	C₄×#1055	semidirect
281. C₂×C₄	C₂²⋊#1055	direct (N × H)
301. C₂²	C₂×C₄×#1055	semidirect
313. C₄	C₂×C₂²⋊#1055	direct (N × H)
317. C₂	C₄×C₂²⋊#1055	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×C₂²⋊#1055	2
C₂²×C₄×#1055	2
C₄×C₂²⋊#1055	2
C₂×#11718116	2
C₂³×C₄²×C₁₃	2
C₂×C₄×C₂²⋊C₈	13

Subgroups — C2×C4×C22⋊#1055 #15860430

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₄×C₂²⋊#1055 #15860430