Subgroups — C₂×Q₈×C₁₃×C₂²⋊C₄ #15720439

Order 3328.

5414 conjugacy classes of subgroups.

The subgroup lattice has 296 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂⁴×Q₈×C₁₃	C₂	1	1	yes	maximal, characteristic
2	C₂²×C₄×Q₈×C₁₃	C₂	1	2	yes	maximal, complemented
3	Q₈×C₁₃×C₂²⋊C₄	C₂	1	16	yes	maximal, direct product factor
4	C₂×C₁₃×#391	C₂	1	6	yes	maximal, complemented
5	C₂×C₁₃×#380	C₂	1	3	yes	maximal
6	C₂×C₄×C₁₃×C₂²⋊C₄	C₂	1	3	yes	maximal
7	C₂³×Q₈×C₁₃	—	2	16	no	—
8	C₂³×Q₈×C₁₃	C₄	1	16	yes	complemented
9	C₂³×Q₈×C₁₃	C₂²	1	3	yes	—
10	C₂³×Q₈×C₁₃	C₂²	1	8	yes	—
11	C₂³×Q₈×C₁₃	C₂²	1	1	yes	characteristic
12	C₂⁴×C₄×C₁₃	C₂²	1	3	yes	—
13	C₂×C₄×Q₈×C₁₃	—	2	16	no	—
14	C₂×C₄×Q₈×C₁₃	C₂²	1	16	yes	complemented
15	C₂²×C₁₃×C₄⋊C₄	C₂²	1	6	yes	—
16	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	3	yes	—
17	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
18	C₂²×C₄²×C₁₃	C₂²	1	6	yes	—
19	C₁₃×#391	C₂²	1	48	yes	complemented
20	C₁₃×#380	C₂²	1	24	yes	—
21	C₄×C₁₃×C₂²⋊C₄	C₂²	1	24	yes	—
22	C₂×C₁₃×#95	C₂²	1	6	yes	—
23	C₂×C₁₃×#95	C₂²	1	6	yes	—
24	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
25	C₂²×Q₈×C₁₃	—	2	128	no	—
26	C₂²×Q₈×C₁₃	—	2	64	no	—
27	C₂²×Q₈×C₁₃	—	2	24	no	—
28	C₂²×Q₈×C₁₃	C₂×C₄	1	24	yes	—
29	C₂²×Q₈×C₁₃	C₂×C₄	1	8	yes	—
30	C₂²×Q₈×C₁₃	C₂×C₄	1	64	yes	complemented
31	C₂²×Q₈×C₁₃	D₄	1	16	yes	—
32	C₂²×Q₈×C₁₃	C₂³	1	12	yes	—
33	C₂²×Q₈×C₁₃	C₂³	1	4	yes	—
34	C₂³×C₄×C₁₃	—	2	24	no	—
35	C₂³×C₄×C₁₃	C₂×C₄	1	24	yes	—
36	C₂³×C₄×C₁₃	C₂³	1	6	yes	—
37	C₂³×C₄×C₁₃	C₂³	1	12	yes	—
38	C₂³×C₄×C₁₃	C₂³	1	3	yes	—
39	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
40	C₂³×C₄×C₁₃	C₂³	1	3	yes	—
41	C₄×Q₈×C₁₃	—	2	64	no	—
42	C₂×C₁₃×C₄⋊C₄	—	2	24	no	—
43	C₂×C₁₃×C₄⋊C₄	C₂³	1	24	yes	—
44	C₂×C₁₃×C₂²⋊C₄	—	2	12	no	—
45	C₂×C₁₃×C₂²⋊C₄	Q₈	1	8	yes	direct product factor
46	C₂×C₁₃×C₂²⋊C₄	C₂³	1	12	yes	—
47	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
48	C₂×C₄²×C₁₃	—	2	24	no	—
49	C₂×C₄²×C₁₃	C₂³	1	24	yes	—
50	C₁₃×#95	C₂³	1	24	yes	—
51	C₁₃×#95	C₂³	1	24	yes	—
52	C₂×Q₈×C₂²⋊C₄	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
53	C₂⁴×C₁₃	—	2	4	no	—
54	C₂⁴×C₁₃	—	2	4	no	—
55	C₂⁴×C₁₃	C₂²×C₄	1	4	yes	—
56	C₂⁴×C₁₃	C₂×Q₈	1	4	yes	—
57	C₂⁴×C₁₃	#41	1	4	yes	—
58	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
59	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
60	C₂×Q₈×C₁₃	—	2	256	no	—
61	C₂×Q₈×C₁₃	—	2	96	no	—
62	C₂×Q₈×C₁₃	—	2	48	no	—
63	C₂×Q₈×C₁₃	C₂²⋊C₄	1	64	yes	direct product factor
64	C₂×Q₈×C₁₃	C₂²×C₄	1	48	yes	—
65	C₂×Q₈×C₁₃	C₂²×C₄	1	16	yes	—
66	C₂×Q₈×C₁₃	C₂×D₄	1	32	yes	—
67	C₂²×C₄×C₁₃	—	2	4	no	—
68	C₂²×C₄×C₁₃	—	2	12	no	—
69	C₂²×C₄×C₁₃	—	2	4	no	—
70	C₂²×C₄×C₁₃	—	2	96	no	—
71	C₂²×C₄×C₁₃	—	2	48	no	—
72	C₂²×C₄×C₁₃	—	2	12	no	—
73	C₂²×C₄×C₁₃	—	2	12	no	—
74	C₂²×C₄×C₁₃	—	2	12	no	—
75	C₂²×C₄×C₁₃	C₂²×C₄	1	12	yes	—
76	C₂²×C₄×C₁₃	C₂²×C₄	1	48	yes	—
77	C₂²×C₄×C₁₃	C₂²×C₄	1	12	yes	—
78	C₂²×C₄×C₁₃	C₂×D₄	1	24	yes	—
79	C₂²×C₄×C₁₃	C₂×Q₈	1	8	yes	complemented
80	C₂²×C₄×C₁₃	C₂⁴	1	12	yes	—
81	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
82	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
83	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
84	C₁₃×C₄⋊C₄	—	2	48	no	—
85	C₁₃×C₂²⋊C₄	—	2	24	no	—
86	C₁₃×C₂²⋊C₄	C₂×Q₈	1	16	yes	direct product factor
87	C₄²×C₁₃	—	2	48	no	—
88	C₂⁴×Q₈	C₂×C₁₃	1	1	yes	characteristic
89	C₂²×C₄×Q₈	C₂×C₁₃	1	2	yes	complemented
90	Q₈×C₂²⋊C₄	C₂×C₁₃	1	16	yes	direct product factor
91	C₂×#391	C₂×C₁₃	1	6	yes	complemented
92	C₂×#380	C₂×C₁₃	1	3	yes	—
93	C₂×C₄×C₂²⋊C₄	C₂×C₁₃	1	3	yes	—
94	C₂³×C₁₃	—	2	8	no	—
95	C₂³×C₁₃	—	2	8	no	—
96	C₂³×C₁₃	—	2	16	no	—
97	C₂³×C₁₃	—	2	16	no	—
98	C₂³×C₁₃	—	2	4	no	—
99	C₂³×C₁₃	—	2	4	no	—
100	C₂³×C₁₃	C₄×Q₈	1	16	yes	complemented
101	C₂³×C₁₃	C₂³×C₄	1	4	yes	—
102	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
103	C₂³×C₁₃	C₂²×D₄	1	4	yes	—
104	C₂³×C₁₃	C₂²×Q₈	1	4	yes	—
105	C₂³×C₁₃	C₂²×Q₈	1	2	yes	—
106	C₂³×C₁₃	C₂×#41	1	4	yes	—
107	C₂³×C₁₃	C₂×#41	1	2	yes	—
108	C₂³×C₁₃	2₋¹⁺⁴	1	4	yes	—
109	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
110	Q₈×C₁₃	—	2	96	no	—
111	Q₈×C₁₃	C₂×C₂²⋊C₄	1	64	yes	direct product factor
112	C₂×C₄×C₁₃	—	2	24	no	—
113	C₂×C₄×C₁₃	—	2	16	no	—
114	C₂×C₄×C₁₃	—	2	4	no	—
115	C₂×C₄×C₁₃	—	2	12	no	—
116	C₂×C₄×C₁₃	—	2	4	no	—
117	C₂×C₄×C₁₃	—	2	96	no	—
118	C₂×C₄×C₁₃	—	2	12	no	—
119	C₂×C₄×C₁₃	—	2	12	no	—
120	C₂×C₄×C₁₃	—	2	12	no	—
121	C₂×C₄×C₁₃	—	4	24	no	—
122	C₂×C₄×C₁₃	C₂×C₂²⋊C₄	1	48	yes	—
123	C₂×C₄×C₁₃	C₂³×C₄	1	12	yes	—
124	C₂×C₄×C₁₃	C₂³×C₄	1	12	yes	—
125	C₂×C₄×C₁₃	C₂²×D₄	1	24	yes	—
126	C₂×C₄×C₁₃	C₂²×Q₈	1	8	yes	complemented
127	C₂³×Q₈	—	2	16	no	—
128	C₂³×Q₈	C₄×C₁₃	1	16	yes	complemented
129	C₂³×Q₈	C₂²×C₁₃	1	3	yes	—
130	C₂³×Q₈	C₂²×C₁₃	1	8	yes	—
131	C₂³×Q₈	C₂²×C₁₃	1	1	yes	characteristic
132	C₂⁴×C₄	C₂²×C₁₃	1	3	yes	—
133	C₂×C₄×Q₈	—	2	16	no	—
134	C₂×C₄×Q₈	C₂²×C₁₃	1	16	yes	complemented
135	C₂²×C₄⋊C₄	C₂²×C₁₃	1	6	yes	—
136	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	3	yes	—
137	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
138	C₂²×C₄²	C₂²×C₁₃	1	6	yes	—
139	#391	C₂²×C₁₃	1	48	yes	complemented
140	#380	C₂²×C₁₃	1	24	yes	—
141	C₄×C₂²⋊C₄	C₂²×C₁₃	1	24	yes	—
142	C₂×#95	C₂²×C₁₃	1	6	yes	—
143	C₂×#95	C₂²×C₁₃	1	6	yes	—
144	C₂²×C₁₃	—	2	32	no	—
145	C₂²×C₁₃	—	2	4	no	—
146	C₂²×C₁₃	—	2	4	no	—
147	C₂²×C₁₃	—	2	8	no	—
148	C₂²×C₁₃	—	2	8	no	—
149	C₂²×C₁₃	C₂²×C₂²⋊C₄	1	4	yes	—
150	C₂²×C₁₃	C₂×C₄×Q₈	1	4	yes	—
151	C₂²×C₁₃	C₂×C₄×Q₈	1	8	yes	complemented
152	C₂²×C₁₃	#519	1	4	yes	—
153	C₂²×C₁₃	#548	1	8	yes	—
154	C₂²×C₁₃	D₄×Q₈	1	8	yes	—
155	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
156	C₂²×C₁₃	C₂³×D₄	1	2	yes	—
157	C₂²×C₁₃	C₂³×Q₈	1	1	yes	characteristic
158	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
159	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	2	yes	—
160	C₄×C₁₃	—	2	12	no	—
161	C₄×C₁₃	—	2	8	no	—
162	C₄×C₁₃	—	4	12	no	—
163	C₄×C₁₃	C₂²×C₂²⋊C₄	1	24	yes	—
164	C₂⁵	C₂³×C₁₃	1	1	yes	characteristic
165	C₂²×Q₈	—	2	128	no	—
166	C₂²×Q₈	—	2	64	no	—
167	C₂²×Q₈	—	2	24	no	—
168	C₂²×Q₈	C₂×C₄×C₁₃	1	24	yes	—
169	C₂²×Q₈	C₂×C₄×C₁₃	1	8	yes	—
170	C₂²×Q₈	C₂×C₄×C₁₃	1	64	yes	complemented
171	C₂²×Q₈	D₄×C₁₃	1	16	yes	—
172	C₂²×Q₈	C₂³×C₁₃	1	12	yes	—
173	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
174	C₂³×C₄	—	2	24	no	—
175	C₂³×C₄	C₂×C₄×C₁₃	1	24	yes	—
176	C₂³×C₄	C₂³×C₁₃	1	6	yes	—
177	C₂³×C₄	C₂³×C₁₃	1	3	yes	—
178	C₂³×C₄	C₂³×C₁₃	1	12	yes	—
179	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
180	C₂³×C₄	C₂³×C₁₃	1	3	yes	—
181	C₄×Q₈	—	2	64	no	—
182	C₂×C₄⋊C₄	—	2	24	no	—
183	C₂×C₄⋊C₄	C₂³×C₁₃	1	24	yes	—
184	C₂×C₂²⋊C₄	—	2	12	no	—
185	C₂×C₂²⋊C₄	Q₈×C₁₃	1	8	yes	direct product factor
186	C₂×C₂²⋊C₄	C₂³×C₁₃	1	12	yes	—
187	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
188	C₂×C₄²	—	2	24	no	—
189	C₂×C₄²	C₂³×C₁₃	1	24	yes	—
190	#95	C₂³×C₁₃	1	24	yes	—
191	#95	C₂³×C₁₃	1	24	yes	—
192	C₂×C₁₃	—	2	8	no	—
193	C₂×C₁₃	Q₈×C₂²⋊C₄	1	8	yes	direct product factor
194	C₂×C₁₃	C₂³×C₂²⋊C₄	1	1	yes	characteristic
195	C₂×C₁₃	C₂²×C₄×Q₈	1	1	yes	characteristic
196	C₂×C₁₃	C₂×#519	1	1	yes	characteristic
197	C₂×C₁₃	C₂×#548	1	2	yes	—
198	C₂×C₁₃	C₂×D₄×Q₈	1	2	yes	—
199	C₂⁴	—	2	4	no	—
200	C₂⁴	—	2	4	no	—
201	C₂⁴	C₂²×C₄×C₁₃	1	4	yes	—
202	C₂⁴	C₂×Q₈×C₁₃	1	4	yes	—
203	C₂⁴	C₁₃×#41	1	4	yes	—
204	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
205	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
206	C₂×Q₈	—	2	256	no	—
207	C₂×Q₈	—	2	96	no	—
208	C₂×Q₈	—	2	48	no	—
209	C₂×Q₈	C₁₃×C₂²⋊C₄	1	64	yes	direct product factor
210	C₂×Q₈	C₂²×C₄×C₁₃	1	48	yes	—
211	C₂×Q₈	C₂²×C₄×C₁₃	1	16	yes	—
212	C₂×Q₈	C₂×D₄×C₁₃	1	32	yes	—
213	C₂²×C₄	—	2	4	no	—
214	C₂²×C₄	—	2	12	no	—
215	C₂²×C₄	—	2	4	no	—
216	C₂²×C₄	—	2	96	no	—
217	C₂²×C₄	—	2	48	no	—
218	C₂²×C₄	—	2	12	no	—
219	C₂²×C₄	—	2	12	no	—
220	C₂²×C₄	—	2	12	no	—
221	C₂²×C₄	C₂²×C₄×C₁₃	1	12	yes	—
222	C₂²×C₄	C₂²×C₄×C₁₃	1	48	yes	—
223	C₂²×C₄	C₂²×C₄×C₁₃	1	12	yes	—
224	C₂²×C₄	C₂×D₄×C₁₃	1	24	yes	—
225	C₂²×C₄	C₂×Q₈×C₁₃	1	8	yes	complemented
226	C₂²×C₄	C₂⁴×C₁₃	1	12	yes	—
227	C₂²×C₄	C₂⁴×C₁₃	1	6	yes	—
228	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
229	C₂²×C₄	C₂⁴×C₁₃	1	6	yes	—
230	C₄⋊C₄	—	2	48	no	—
231	C₂²⋊C₄	—	2	24	no	—
232	C₂²⋊C₄	C₂×Q₈×C₁₃	1	16	yes	direct product factor
233	C₄²	—	2	48	no	—
234	C₁₃	C₂×Q₈×C₂²⋊C₄	1	1	yes	characteristic, direct product factor, Sylow
235	C₂³	—	2	8	no	—
236	C₂³	—	2	8	no	—
237	C₂³	—	2	16	no	—
238	C₂³	—	2	16	no	—
239	C₂³	—	2	4	no	—
240	C₂³	—	2	4	no	—
241	C₂³	C₄×Q₈×C₁₃	1	16	yes	complemented
242	C₂³	C₂³×C₄×C₁₃	1	4	yes	—
243	C₂³	C₂³×C₄×C₁₃	1	2	yes	—
244	C₂³	C₂²×D₄×C₁₃	1	4	yes	—
245	C₂³	C₂²×Q₈×C₁₃	1	4	yes	—
246	C₂³	C₂²×Q₈×C₁₃	1	2	yes	—
247	C₂³	C₂×C₁₃×#41	1	4	yes	—
248	C₂³	C₂×C₁₃×#41	1	2	yes	—
249	C₂³	C₁₃×2₋¹⁺⁴	1	4	yes	—
250	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
251	Q₈	—	2	96	no	—
252	Q₈	C₂×C₁₃×C₂²⋊C₄	1	64	yes	direct product factor
253	C₂×C₄	—	2	24	no	—
254	C₂×C₄	—	2	16	no	—
255	C₂×C₄	—	2	4	no	—
256	C₂×C₄	—	2	12	no	—
257	C₂×C₄	—	2	4	no	—
258	C₂×C₄	—	2	96	no	—
259	C₂×C₄	—	2	12	no	—
260	C₂×C₄	—	2	12	no	—
261	C₂×C₄	—	2	12	no	—
262	C₂×C₄	—	4	24	no	—
263	C₂×C₄	C₂×C₁₃×C₂²⋊C₄	1	48	yes	—
264	C₂×C₄	C₂³×C₄×C₁₃	1	12	yes	—
265	C₂×C₄	C₂³×C₄×C₁₃	1	12	yes	—
266	C₂×C₄	C₂²×D₄×C₁₃	1	24	yes	—
267	C₂×C₄	C₂²×Q₈×C₁₃	1	8	yes	complemented
268	C₂²	—	2	32	no	—
269	C₂²	—	2	4	no	—
270	C₂²	—	2	4	no	—
271	C₂²	—	2	8	no	—
272	C₂²	—	2	8	no	—
273	C₂²	C₂²×C₁₃×C₂²⋊C₄	1	4	yes	—
274	C₂²	C₂×C₄×Q₈×C₁₃	1	4	yes	—
275	C₂²	C₂×C₄×Q₈×C₁₃	1	8	yes	complemented
276	C₂²	C₁₃×#519	1	4	yes	—
277	C₂²	C₁₃×#548	1	8	yes	—
278	C₂²	D₄×Q₈×C₁₃	1	8	yes	—
279	C₂²	C₂⁴×C₄×C₁₃	1	1	yes	characteristic
280	C₂²	C₂³×D₄×C₁₃	1	2	yes	—
281	C₂²	C₂³×Q₈×C₁₃	1	1	yes	characteristic
282	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
283	C₂²	C₂×C₁₃×2₋¹⁺⁴	1	2	yes	—
284	C₄	—	2	12	no	—
285	C₄	—	2	8	no	—
286	C₄	—	4	12	no	—
287	C₄	C₂²×C₁₃×C₂²⋊C₄	1	24	yes	—
288	C₂	—	2	8	no	—
289	C₂	Q₈×C₁₃×C₂²⋊C₄	1	8	yes	direct product factor
290	C₂	C₂³×C₁₃×C₂²⋊C₄	1	1	yes	characteristic
291	C₂	C₂²×C₄×Q₈×C₁₃	1	1	yes	characteristic
292	C₂	C₂×C₁₃×#519	1	1	yes	characteristic
293	C₂	C₂×C₁₃×#548	1	2	yes	—
294	C₂	C₂×D₄×Q₈×C₁₃	1	2	yes	—

	subgroup	G/H
center, socle	C₂⁴×C₁₃	C₂⁴
commutator	C₂²	C₂⁴×C₄×C₁₃
Frattini, cosocle	C₂³	C₂⁵×C₁₃
prime radical	C₂⁵×C₁₃	C₂³
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂⁴×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂²×C₄×Q₈×C₁₃	C₂	semidirect
3. Q₈×C₁₃×C₂²⋊C₄	C₂	direct (N × H)
4. C₂×C₁₃×#391	C₂	semidirect
8. C₂³×Q₈×C₁₃	C₄	semidirect
14. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
19. C₁₃×#391	C₂²	semidirect
30. C₂²×Q₈×C₁₃	C₂×C₄	semidirect
45. C₂×C₁₃×C₂²⋊C₄	Q₈	direct (N × H)
52. C₂×Q₈×C₂²⋊C₄	C₁₃	direct (N × H)
63. C₂×Q₈×C₁₃	C₂²⋊C₄	direct (N × H)
79. C₂²×C₄×C₁₃	C₂×Q₈	semidirect
86. C₁₃×C₂²⋊C₄	C₂×Q₈	direct (N × H)
89. C₂²×C₄×Q₈	C₂×C₁₃	semidirect
90. Q₈×C₂²⋊C₄	C₂×C₁₃	direct (N × H)
91. C₂×#391	C₂×C₁₃	semidirect
100. C₂³×C₁₃	C₄×Q₈	semidirect
111. Q₈×C₁₃	C₂×C₂²⋊C₄	direct (N × H)
126. C₂×C₄×C₁₃	C₂²×Q₈	semidirect
128. C₂³×Q₈	C₄×C₁₃	semidirect
134. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
139. #391	C₂²×C₁₃	semidirect
151. C₂²×C₁₃	C₂×C₄×Q₈	semidirect
170. C₂²×Q₈	C₂×C₄×C₁₃	semidirect
185. C₂×C₂²⋊C₄	Q₈×C₁₃	direct (N × H)
193. C₂×C₁₃	Q₈×C₂²⋊C₄	direct (N × H)
209. C₂×Q₈	C₁₃×C₂²⋊C₄	direct (N × H)
225. C₂²×C₄	C₂×Q₈×C₁₃	semidirect
232. C₂²⋊C₄	C₂×Q₈×C₁₃	direct (N × H)
234. C₁₃	C₂×Q₈×C₂²⋊C₄	direct (N × H)
241. C₂³	C₄×Q₈×C₁₃	semidirect
252. Q₈	C₂×C₁₃×C₂²⋊C₄	direct (N × H)
267. C₂×C₄	C₂²×Q₈×C₁₃	semidirect
275. C₂²	C₂×C₄×Q₈×C₁₃	semidirect
289. C₂	Q₈×C₁₃×C₂²⋊C₄	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂⁴×Q₈×C₁₃	2
C₂²×C₄×Q₈×C₁₃	2
Q₈×C₁₃×C₂²⋊C₄	2
C₂×C₁₃×#391	2
C₂×C₁₃×#380	2
C₂×C₄×C₁₃×C₂²⋊C₄	2
C₂×Q₈×C₂²⋊C₄	13

Subgroups — C2×Q8×C13×C22⋊C4 #15720439

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×Q₈×C₁₃×C₂²⋊C₄ #15720439