Subgroups — C₄×D₁₃×#106 #15860956

Order 3328.

1358 conjugacy classes of subgroups.

The subgroup lattice has 346 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×D₁₃×#106	C₂	1	2	yes	maximal
2	C₂×C₄×C₈×D₁₃	C₂	1	1	yes	maximal, characteristic
3	C₄×C₄⋊C₄×D₁₃	C₂	1	2	yes	maximal
4	#106×Dic₁₃	C₂	1	2	yes	maximal, complemented
5	C₄×#88048	C₂	1	2	yes	maximal, complemented
6	C₄×#88057	C₂	1	1	yes	maximal, characteristic, complemented
7	#13114724	C₂	1	2	yes	maximal, complemented
8	D₁₃×#340	C₂	1	2	yes	maximal
9	C₄×C₁₃×#106	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂²×C₈×D₁₃	C₂²	1	1	yes	characteristic
11	C₂²×C₈×D₁₃	C₂²	1	1	yes	characteristic
12	C₂×C₄⋊C₄×D₁₃	C₂²	1	4	yes	—
13	C₂×C₄²×D₁₃	—	2	2	no	—
14	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
15	C₂×C₁₃×#106	C₂²	1	2	yes	—
16	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
17	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
18	C₂×#88057	C₂²	1	2	yes	—
19	C₂×C₈×Dic₁₃	C₂²	1	1	yes	characteristic
20	C₂×C₈×Dic₁₃	C₂²	1	1	yes	characteristic
21	C₄⋊C₄×Dic₁₃	C₂²	1	4	yes	—
22	C₂×#88048	C₂²	1	4	yes	—
23	C₄×C₄⋊Dic₁₃	C₂²	1	2	yes	—
24	C₄×#6101	—	2	2	no	—
25	C₂×C₄×#1055	C₂²	1	1	yes	characteristic
26	D₁₃×#106	C₄	1	16	yes	direct product factor
27	C₄×C₈×D₁₃	C₄	1	8	yes	complemented
28	D₁₃×#95	—	2	2	no	—
29	#11718310	—	2	2	no	—
30	C₁₃×#340	C₂²	1	2	yes	—
31	#11718143	C₂²	1	2	yes	—
32	#11718121	C₂²	1	4	yes	—
33	C₂²×C₄×D₁₃	—	2	4	no	—
34	C₂²×C₄×D₁₃	D₄	1	1	yes	characteristic
35	C₂²×C₄×D₁₃	D₄	1	1	yes	characteristic
36	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
37	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
38	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
39	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
40	C₂×C₄²×C₁₃	—	2	2	no	—
41	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
42	C₂×C₄⋊Dic₁₃	C₂³	1	4	yes	—
43	C₂×#6101	—	2	4	no	—
44	C₂×C₄×Dic₁₃	—	2	2	no	—
45	C₂×C₄×Dic₁₃	—	2	4	no	—
46	C₂×C₄×Dic₁₃	D₄	1	1	yes	characteristic
47	C₂×C₄×Dic₁₃	D₄	1	1	yes	characteristic
48	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
49	C₂²×#1055	C₂³	1	1	yes	characteristic
50	C₂²×#1055	C₂³	1	1	yes	characteristic
51	C₂×C₈×D₁₃	—	2	4	no	—
52	C₂×C₈×D₁₃	C₂×C₄	1	4	yes	—
53	C₂×C₈×D₁₃	C₂×C₄	1	8	yes	—
54	C₂×C₈×D₁₃	C₂×C₄	1	4	yes	—
55	C₄⋊C₄×D₁₃	—	2	8	no	—
56	C₄⋊C₄×D₁₃	C₂×C₄	1	16	yes	—
57	C₄²×D₁₃	—	4	8	no	—
58	C₄²×D₁₃	C₂×C₄	1	4	yes	—
59	C₄²×D₁₃	Q₈	1	4	yes	—
60	C₁₃×#106	C₂×C₄	1	8	yes	complemented
61	C₄×C₈×C₁₃	C₂×C₄	1	4	yes	complemented
62	C₁₃×#95	—	2	2	no	—
63	#88071	—	2	2	no	—
64	#88071	—	2	4	no	—
65	#88057	C₂×C₄	1	8	yes	complemented
66	C₈×Dic₁₃	C₂×C₄	1	4	yes	complemented
67	C₈×Dic₁₃	C₂×C₄	1	4	yes	complemented
68	#88048	C₂×C₄	1	16	yes	complemented
69	C₄×#1055	C₂×C₄	1	4	yes	complemented
70	C₂×C₄×#106	—	13	1	no	maximal, Sylow
71	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
72	C₂²×C₄×C₁₃	—	2	4	no	—
73	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
74	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
75	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
76	C₂²×Dic₁₃	—	2	4	no	—
77	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
78	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
79	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
80	C₂×C₄×D₁₃	—	2	4	no	—
81	C₂×C₄×D₁₃	—	2	16	no	—
82	C₂×C₄×D₁₃	—	4	8	no	—
83	C₂×C₄×D₁₃	—	4	8	no	—
84	C₂×C₄×D₁₃	C₄⋊C₄	1	4	yes	—
85	C₂×C₄×D₁₃	C₄⋊C₄	1	4	yes	—
86	C₂×C₄×D₁₃	SD₁₆	1	8	yes	—
87	C₂×C₄×D₁₃	C₂²×C₄	1	2	yes	—
88	C₂×C₄×D₁₃	C₂²×C₄	1	4	yes	—
89	C₂×C₄×D₁₃	C₂×Q₈	1	2	yes	—
90	C₂×C₄×D₁₃	#41	1	4	yes	—
91	C₂×C₈×C₁₃	—	2	2	no	—
92	C₂×C₈×C₁₃	C₂²×C₄	1	2	yes	—
93	C₂×C₈×C₁₃	C₂²×C₄	1	2	yes	—
94	C₂×C₈×C₁₃	C₂²×C₄	1	4	yes	—
95	C₁₃×C₄⋊C₄	—	2	4	no	—
96	C₁₃×C₄⋊C₄	C₂²×C₄	1	8	yes	—
97	C₄²×C₁₃	—	4	4	no	—
98	C₄²×C₁₃	C₂²×C₄	1	2	yes	—
99	C₄²×C₁₃	C₂×Q₈	1	2	yes	—
100	C₄⋊Dic₁₃	—	2	4	no	—
101	C₄⋊Dic₁₃	C₂²×C₄	1	8	yes	—
102	#6101	—	2	16	no	—
103	C₄×Dic₁₃	—	4	4	no	—
104	C₄×Dic₁₃	—	4	8	no	—
105	C₄×Dic₁₃	C₄⋊C₄	1	4	yes	—
106	C₄×Dic₁₃	C₄⋊C₄	1	4	yes	—
107	C₄×Dic₁₃	C₂²×C₄	1	2	yes	—
108	C₄×Dic₁₃	C₂×Q₈	1	2	yes	—
109	C₂×#1055	—	2	2	no	—
110	C₂×#1055	C₂²×C₄	1	2	yes	—
111	C₂×#1055	C₂²×C₄	1	2	yes	—
112	C₂×#1055	C₂²×C₄	1	4	yes	—
113	C₈×D₁₃	—	2	8	no	—
114	C₈×D₁₃	C₄²	1	16	yes	complemented
115	C₂²×#106	—	13	2	no	—
116	C₂²×C₄×C₈	—	13	1	no	—
117	C₂×C₄×C₄⋊C₄	—	13	2	no	—
118	C₄×#106	—	13	2	no	—
119	C₄×#106	—	13	1	no	—
120	C₄×#106	—	13	2	no	—
121	C₄×#106	—	13	2	no	—
122	C₄×#106	D₁₃	1	1	yes	characteristic, direct product factor
123	C₂×#340	—	13	2	no	—
124	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
125	C₂²×D₁₃	C₂×C₄⋊C₄	1	2	yes	—
126	C₂²×D₁₃	C₄×D₄	1	4	yes	—
127	C₂²×D₁₃	C₂×SD₁₆	1	4	yes	—
128	C₂²×D₁₃	#135	1	4	yes	—
129	C₂×C₄×C₁₃	—	2	2	no	—
130	C₂×C₄×C₁₃	—	2	8	no	—
131	C₂×C₄×C₁₃	—	4	4	no	—
132	C₂×C₄×C₁₃	—	4	4	no	—
133	C₂×C₄×C₁₃	C₂×C₄⋊C₄	1	2	yes	—
134	C₂×C₄×C₁₃	C₂×C₄⋊C₄	1	2	yes	—
135	C₂×C₄×C₁₃	C₂×SD₁₆	1	4	yes	—
136	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
137	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
138	C₂×C₄×C₁₃	C₂²×Q₈	1	1	yes	characteristic
139	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
140	C₂×Dic₁₃	—	2	2	no	—
141	C₂×Dic₁₃	—	2	8	no	—
142	C₂×Dic₁₃	—	4	4	no	—
143	C₂×Dic₁₃	—	4	4	no	—
144	C₂×Dic₁₃	C₂×C₄⋊C₄	1	2	yes	—
145	C₂×Dic₁₃	C₂×C₄⋊C₄	1	2	yes	—
146	C₂×Dic₁₃	C₂×C₄⋊C₄	1	2	yes	—
147	C₂×Dic₁₃	C₄×D₄	1	4	yes	—
148	C₂×Dic₁₃	C₂×SD₁₆	1	4	yes	—
149	C₄×D₁₃	—	2	8	no	—
150	C₄×D₁₃	—	4	32	no	—
151	C₄×D₁₃	#106	1	16	yes	direct product factor
152	C₄×D₁₃	C₂×C₄²	1	4	yes	—
153	C₄×D₁₃	#117	1	4	yes	—
154	C₄×D₁₃	C₄×Q₈	1	8	yes	—
155	C₈×C₁₃	—	2	2	no	—
156	C₈×C₁₃	C₂×C₄²	1	4	yes	complemented
157	#1055	—	2	2	no	—
158	#1055	C₂×C₄²	1	4	yes	complemented
159	C₂³×C₈	—	13	1	no	—
160	C₂³×C₈	—	13	1	no	—
161	C₂²×C₄⋊C₄	—	13	4	no	—
162	C₂²×C₄²	—	13	1	no	—
163	C₂²×C₄²	—	26	2	no	—
164	C₂×#106	—	13	2	no	—
165	C₂×#106	—	13	4	no	—
166	C₂×#106	—	13	16	no	—
167	C₂×#106	C₂×D₁₃	1	2	yes	—
168	C₂×C₄×C₈	—	13	1	no	—
169	C₂×C₄×C₈	—	13	1	no	—
170	C₂×C₄×C₈	—	13	1	no	—
171	C₂×C₄×C₈	—	13	8	no	—
172	C₂×C₄×C₈	C₂×D₁₃	1	1	yes	characteristic
173	C₄×C₄⋊C₄	—	13	4	no	—
174	C₄×C₄⋊C₄	—	13	2	no	—
175	C₄×C₄⋊C₄	—	26	2	no	—
176	C₄×C₄⋊C₄	—	26	2	no	—
177	C₄×C₄⋊C₄	C₂×D₁₃	1	2	yes	—
178	C₂×#95	—	26	2	no	—
179	#340	—	13	2	no	—
180	#340	—	13	4	no	—
181	#340	C₂×D₁₃	1	2	yes	—
182	C₂²×C₁₃	C₂²×C₄⋊C₄	1	1	yes	characteristic
183	C₂²×C₁₃	C₂×C₄×D₄	1	2	yes	—
184	C₂²×C₁₃	C₂²×SD₁₆	1	2	yes	—
185	C₂²×C₁₃	C₂×#135	1	2	yes	—
186	C₂×D₁₃	C₄×C₄⋊C₄	1	4	yes	—
187	C₂×D₁₃	C₂×#106	1	4	yes	—
188	C₂×D₁₃	#427	1	4	yes	—
189	C₂×D₁₃	C₄×SD₁₆	1	16	yes	—
190	C₄×C₁₃	—	2	2	no	—
191	C₄×C₁₃	—	4	8	no	—
192	C₄×C₁₃	C₂×#106	1	4	yes	complemented
193	C₄×C₁₃	C₂²×C₄²	1	1	yes	characteristic
194	C₄×C₁₃	C₂×#117	1	1	yes	characteristic
195	C₄×C₁₃	C₂×C₄×Q₈	1	2	yes	—
196	Dic₁₃	—	2	2	no	—
197	Dic₁₃	—	4	8	no	—
198	Dic₁₃	C₄×C₄⋊C₄	1	4	yes	—
199	Dic₁₃	C₂×#106	1	4	yes	complemented
200	C₂³×C₄	—	13	1	no	—
201	C₂³×C₄	—	13	1	no	—
202	C₂³×C₄	—	13	1	no	—
203	C₂³×C₄	—	26	4	no	—
204	C₂²×C₈	—	13	1	no	—
205	C₂²×C₈	—	13	4	no	—
206	C₂²×C₈	—	13	8	no	—
207	C₂²×C₈	—	13	1	no	—
208	C₂²×C₈	—	13	4	no	—
209	C₂²×C₈	—	26	4	no	—
210	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
211	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
212	C₂×C₄⋊C₄	—	13	4	no	—
213	C₂×C₄⋊C₄	—	13	16	no	—
214	C₂×C₄⋊C₄	—	26	8	no	—
215	C₂×C₄⋊C₄	—	26	4	no	—
216	C₂×C₄⋊C₄	C₂²×D₁₃	1	4	yes	—
217	C₂×C₄²	—	2	2	no	—
218	C₂×C₄²	—	13	1	no	—
219	C₂×C₄²	—	13	1	no	—
220	C₂×C₄²	—	13	1	no	—
221	C₂×C₄²	—	13	4	no	—
222	C₂×C₄²	—	13	4	no	—
223	C₂×C₄²	—	26	4	no	—
224	C₂×C₄²	—	26	2	no	—
225	C₂×C₄²	—	52	8	no	—
226	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
227	#106	—	13	8	no	—
228	#106	—	13	16	no	—
229	#106	C₄×D₁₃	1	8	yes	direct product factor
230	C₄×C₈	—	13	4	no	—
231	C₄×C₈	—	13	4	no	—
232	C₄×C₈	—	13	4	no	—
233	C₄×C₈	C₄×D₁₃	1	4	yes	complemented
234	#95	—	2	2	no	—
235	#95	—	26	4	no	—
236	#95	—	26	2	no	—
237	C₂×C₁₃	C₂×C₄×C₄⋊C₄	1	1	yes	characteristic
238	C₂×C₁₃	C₂²×#106	1	1	yes	characteristic
239	C₂×C₁₃	C₂×#427	1	1	yes	characteristic
240	C₂×C₁₃	C₂×C₄×SD₁₆	1	4	yes	—
241	D₁₃	C₄×#106	1	8	yes	direct product factor
242	C₂⁴	—	13	1	no	—
243	C₂²×C₄	—	2	4	no	—
244	C₂²×C₄	—	13	1	no	—
245	C₂²×C₄	—	13	1	no	—
246	C₂²×C₄	—	13	4	no	—
247	C₂²×C₄	—	13	8	no	—
248	C₂²×C₄	—	13	2	no	—
249	C₂²×C₄	—	13	4	no	—
250	C₂²×C₄	—	13	2	no	—
251	C₂²×C₄	—	13	4	no	—
252	C₂²×C₄	—	13	1	no	—
253	C₂²×C₄	—	13	4	no	—
254	C₂²×C₄	—	26	4	no	—
255	C₂²×C₄	—	26	16	no	—
256	C₂²×C₄	—	26	4	no	—
257	C₂²×C₄	—	52	8	no	—
258	C₂²×C₄	—	52	8	no	—
259	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
260	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
261	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
262	C₂×C₈	—	2	2	no	—
263	C₂×C₈	—	13	2	no	—
264	C₂×C₈	—	13	4	no	—
265	C₂×C₈	—	13	16	no	—
266	C₂×C₈	—	13	2	no	—
267	C₂×C₈	—	26	8	no	—
268	C₂×C₈	—	26	2	no	—
269	C₂×C₈	C₂×C₄×D₁₃	1	2	yes	—
270	C₂×C₈	C₂×C₄×D₁₃	1	2	yes	—
271	C₂×C₈	C₂×C₄×D₁₃	1	4	yes	—
272	C₄⋊C₄	—	2	4	no	—
273	C₄⋊C₄	—	13	8	no	—
274	C₄⋊C₄	—	26	16	no	—
275	C₄⋊C₄	—	26	4	no	—
276	C₄⋊C₄	C₂×C₄×D₁₃	1	8	yes	—
277	C₄²	—	4	4	no	—
278	C₄²	—	13	4	no	—
279	C₄²	—	13	4	no	—
280	C₄²	—	13	2	no	—
281	C₄²	—	13	2	no	—
282	C₄²	—	52	8	no	—
283	C₄²	—	52	4	no	—
284	C₄²	C₂×C₄×D₁₃	1	2	yes	—
285	C₄²	Q₈×D₁₃	1	2	yes	—
286	C₁₃	C₂×C₄×#106	1	1	yes	characteristic, complemented, Sylow
287	C₂³	—	13	2	no	—
288	C₂³	—	13	4	no	—
289	C₂³	—	13	4	no	—
290	C₂³	—	13	4	no	—
291	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
292	C₂×C₄	—	2	2	no	—
293	C₂×C₄	—	2	8	no	—
294	C₂×C₄	—	4	4	no	—
295	C₂×C₄	—	4	4	no	—
296	C₂×C₄	—	13	2	no	—
297	C₂×C₄	—	13	2	no	—
298	C₂×C₄	—	13	4	no	—
299	C₂×C₄	—	13	4	no	—
300	C₂×C₄	—	13	4	no	—
301	C₂×C₄	—	13	4	no	—
302	C₂×C₄	—	13	8	no	—
303	C₂×C₄	—	13	16	no	—
304	C₂×C₄	—	13	2	no	—
305	C₂×C₄	—	26	8	no	—
306	C₂×C₄	—	26	2	no	—
307	C₂×C₄	—	26	8	no	—
308	C₂×C₄	—	52	32	no	—
309	C₂×C₄	—	52	4	no	—
310	C₂×C₄	—	52	4	no	—
311	C₂×C₄	C₄⋊C₄×D₁₃	1	2	yes	—
312	C₂×C₄	C₄⋊C₄×D₁₃	1	2	yes	—
313	C₂×C₄	SD₁₆×D₁₃	1	4	yes	—
314	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
315	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
316	C₂×C₄	C₂×Q₈×D₁₃	1	1	yes	characteristic
317	C₂×C₄	#41×D₁₃	1	2	yes	—
318	C₈	—	2	2	no	—
319	C₈	—	13	4	no	—
320	C₈	—	26	2	no	—
321	C₈	C₄²×D₁₃	1	4	yes	complemented
322	C₂²	—	13	16	no	—
323	C₂²	—	13	4	no	—
324	C₂²	—	13	4	no	—
325	C₂²	—	13	4	no	—
326	C₂²	C₂×C₄⋊C₄×D₁₃	1	1	yes	characteristic
327	C₂²	C₄×D₄×D₁₃	1	2	yes	—
328	C₂²	C₂×SD₁₆×D₁₃	1	2	yes	—
329	C₂²	D₁₃×#135	1	2	yes	—
330	C₄	—	2	2	no	—
331	C₄	—	4	8	no	—
332	C₄	—	13	4	no	—
333	C₄	—	13	4	no	—
334	C₄	—	26	2	no	—
335	C₄	—	52	8	no	—
336	C₄	D₁₃×#106	1	4	yes	direct product factor
337	C₄	C₂×C₄²×D₁₃	1	1	yes	characteristic
338	C₄	D₁₃×#117	1	1	yes	characteristic
339	C₄	C₄×Q₈×D₁₃	1	2	yes	—
340	C₂	—	13	8	no	—
341	C₂	C₄×C₄⋊C₄×D₁₃	1	1	yes	characteristic
342	C₂	C₂×D₁₃×#106	1	1	yes	characteristic
343	C₂	D₁₃×#427	1	1	yes	characteristic
344	C₂	C₄×SD₁₆×D₁₃	1	4	yes	—

	subgroup	G/H
center	C₂²×C₄	D₄×D₁₃
commutator	C₄×C₁₃	C₂²×C₄²
Frattini	C₂²×C₄	C₂³×D₁₃
Fitting	C₄×C₁₃×#106	C₂
socle	C₂³×C₁₃	C₂²×D₄
prime radical	C₂³×D₁₃	C₂×D₄
cosocle	C₂²×C₄×C₁₃	C₂⁴
hypercenter	C₄×#106	D₁₃
hypocenter	C₁₃	C₂×C₄×#106
LCS	G ▷ C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂²×C₄ ◁ C₂×C₄² ◁ C₄×#106

Complements

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

N	H ≅ G/N	type
4. #106×Dic₁₃	C₂	semidirect
5. C₄×#88048	C₂	semidirect
6. C₄×#88057	C₂	semidirect
7. #13114724	C₂	semidirect
9. C₄×C₁₃×#106	C₂	semidirect
26. D₁₃×#106	C₄	direct (N × H)
27. C₄×C₈×D₁₃	C₄	semidirect
60. C₁₃×#106	C₂×C₄	semidirect
61. C₄×C₈×C₁₃	C₂×C₄	semidirect
65. #88057	C₂×C₄	semidirect
66. C₈×Dic₁₃	C₂×C₄	semidirect
67. C₈×Dic₁₃	C₂×C₄	semidirect
68. #88048	C₂×C₄	semidirect
69. C₄×#1055	C₂×C₄	semidirect
114. C₈×D₁₃	C₄²	semidirect
122. C₄×#106	D₁₃	direct (N × H)
151. C₄×D₁₃	#106	direct (N × H)
156. C₈×C₁₃	C₂×C₄²	semidirect
158. #1055	C₂×C₄²	semidirect
192. C₄×C₁₃	C₂×#106	semidirect
199. Dic₁₃	C₂×#106	semidirect
229. #106	C₄×D₁₃	direct (N × H)
233. C₄×C₈	C₄×D₁₃	semidirect
241. D₁₃	C₄×#106	direct (N × H)
286. C₁₃	C₂×C₄×#106	semidirect
321. C₈	C₄²×D₁₃	semidirect
336. C₄	D₁₃×#106	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×D₁₃×#106	2
C₂×C₄×C₈×D₁₃	2
C₄×C₄⋊C₄×D₁₃	2
#106×Dic₁₃	2
C₄×#88048	2
C₄×#88057	2
#13114724	2
D₁₃×#340	2
C₄×C₁₃×#106	2
C₂×C₄×#106	13

Subgroups — C4×D13×#106 #15860956

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄×D₁₃×#106 #15860956