Subgroups — D₁₃×#1591 #15832657

Order 3328.

670 conjugacy classes of subgroups.

The subgroup lattice has 394 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₁₃×#446	C₂	1	2	yes	maximal
2	C₄×Q₁₆×D₁₃	C₂	1	1	yes	maximal, characteristic
3	#13113734	C₂	1	1	yes	maximal, characteristic, complemented
4	#13113733	C₂	1	1	yes	maximal, characteristic, complemented
5	#13113732	C₂	1	1	yes	maximal, characteristic, complemented
6	#13113731	C₂	1	2	yes	maximal, complemented
7	#13113730	C₂	1	2	yes	maximal, complemented
8	D₁₃×#335	C₂	1	1	yes	maximal, characteristic
9	D₁₃×Q₈⋊C₈	C₂	1	2	yes	maximal
10	C₈²×D₁₃	C₂	1	1	yes	maximal, characteristic
11	C₁₃×#1591	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×Q₁₆×D₁₃	C₄	1	1	yes	characteristic
13	C₄×Q₈×D₁₃	C₂²	1	2	yes	—
14	C₁₃×#446	C₂²	1	2	yes	—
15	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
16	Q₁₆×Dic₁₃	C₄	1	1	yes	characteristic
17	C₄×#6107	C₂²	1	2	yes	—
18	#11718685	C₂²	1	2	yes	—
19	D₁₃×#107	C₄	1	1	yes	characteristic
20	#11718534	C₄	1	1	yes	characteristic
21	D₁₃×C₄⋊C₈	—	2	2	no	—
22	D₁₃×C₄⋊C₈	C₂²	1	2	yes	—
23	#11718492	C₂²	1	2	yes	—
24	#11718489	—	2	2	no	—
25	D₁₃×#103	C₄	1	2	yes	—
26	#11718451	C₄	1	2	yes	—
27	D₁₃×#97	—	2	2	no	—
28	#11718362	—	2	2	no	—
29	C₄×Dic₅₂	C₂²	1	1	yes	characteristic
30	C₄×C₈×D₁₃	C₂²	1	1	yes	characteristic
31	C₄×C₈×D₁₃	C₂²	1	1	yes	characteristic
32	C₄×C₈×D₁₃	C₂²	1	1	yes	characteristic
33	#11718340	C₂²	1	2	yes	—
34	C₁₃×#335	C₂²	1	1	yes	characteristic
35	C₁₃×Q₈⋊C₈	C₂²	1	2	yes	—
36	C₈²×C₁₃	C₂²	1	1	yes	characteristic
37	Q₈⋊#1055	C₂²	1	2	yes	—
38	#11718076	C₂²	1	2	yes	—
39	#11718071	C₂²	1	2	yes	—
40	#11718050	C₂²	1	1	yes	characteristic
41	#11718048	C₂²	1	2	yes	—
42	C₈×#1055	C₂²	1	1	yes	characteristic
43	C₈×#1055	C₂²	1	1	yes	characteristic
44	C₈×#1055	C₂²	1	1	yes	characteristic
45	C₂×Q₈×D₁₃	C₂×C₄	1	2	yes	—
46	C₂×C₁₃×Q₁₆	C₂×C₄	1	1	yes	characteristic
47	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
48	Q₈×Dic₁₃	C₂×C₄	1	2	yes	—
49	C₂×#6107	C₂×C₄	1	2	yes	—
50	Q₁₆×D₁₃	—	2	4	no	—
51	C₂×Dic₅₂	C₂×C₄	1	1	yes	characteristic
52	C₂×C₈×D₁₃	—	2	1	no	—
53	C₂×C₈×D₁₃	—	2	2	no	—
54	C₂×C₈×D₁₃	C₂×C₄	1	1	yes	characteristic
55	C₂×C₈×D₁₃	C₂×C₄	1	1	yes	characteristic
56	C₂×C₈×D₁₃	D₄	1	1	yes	characteristic
57	C₂×C₈×D₁₃	D₄	1	1	yes	characteristic
58	C₄⋊C₄×D₁₃	—	2	2	no	—
59	C₄⋊C₄×D₁₃	C₂×C₄	1	2	yes	—
60	#88141	—	2	2	no	—
61	#88141	C₂×C₄	1	2	yes	—
62	C₄²×D₁₃	—	2	2	no	—
63	C₄²×D₁₃	C₂³	1	1	yes	characteristic
64	C₄×Dic₂₆	—	2	2	no	—
65	C₄×Dic₂₆	C₂³	1	2	yes	—
66	C₁₃×#107	C₂×C₄	1	1	yes	characteristic
67	C₁₃×C₄⋊C₈	—	2	2	no	—
68	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
69	C₁₃×#103	C₂×C₄	1	2	yes	—
70	C₁₃×#97	—	2	2	no	—
71	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
72	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
73	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
74	#88075	C₂×C₄	1	2	yes	—
75	#88058	C₂×C₄	1	1	yes	characteristic
76	#88056	C₂×C₄	1	2	yes	—
77	#88055	—	2	2	no	—
78	#88055	—	2	2	no	—
79	#88054	—	2	2	no	—
80	#88054	—	2	2	no	—
81	#88054	—	2	2	no	—
82	C₈×Dic₁₃	—	2	1	no	—
83	C₈×Dic₁₃	C₂×C₄	1	1	yes	characteristic
84	C₈×Dic₁₃	C₂×C₄	1	1	yes	characteristic
85	C₈×Dic₁₃	D₄	1	1	yes	characteristic
86	C₈×Dic₁₃	D₄	1	1	yes	characteristic
87	#88050	C₂×C₄	1	2	yes	—
88	#88047	C₂×C₄	1	2	yes	—
89	C₄⋊#1055	—	2	2	no	—
90	C₄⋊#1055	C₂³	1	2	yes	—
91	#88043	—	2	2	no	—
92	C₄×#1055	C₂³	1	1	yes	characteristic
93	C₄×#1055	C₂³	1	1	yes	characteristic
94	C₄×#1055	C₂³	1	1	yes	characteristic
95	C₂×#1591	—	13	1	no	maximal, Sylow
96	C₂×Q₈×C₁₃	C₂²×C₄	1	2	yes	—
97	Q₈×D₁₃	—	2	4	no	—
98	Q₈×D₁₃	—	2	4	no	—
99	C₂×C₄×D₁₃	—	2	2	no	—
100	C₂×C₄×D₁₃	—	2	2	no	—
101	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
102	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
103	C₂×C₄×D₁₃	#41	1	1	yes	characteristic
104	C₂×Dic₂₆	—	2	2	no	—
105	C₂×Dic₂₆	C₂²×C₄	1	2	yes	—
106	C₁₃×Q₁₆	—	2	2	no	—
107	C₂×C₈×C₁₃	—	2	1	no	—
108	C₂×C₈×C₁₃	—	2	2	no	—
109	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
110	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
111	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
112	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
113	C₁₃×C₄⋊C₄	—	2	2	no	—
114	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
115	C₄²×C₁₃	—	2	2	no	—
116	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
117	#6107	—	2	4	no	—
118	C₄⋊Dic₁₃	—	2	2	no	—
119	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
120	#6101	—	2	2	no	—
121	#6101	—	2	2	no	—
122	#6101	—	2	2	no	—
123	C₄×Dic₁₃	—	2	2	no	—
124	C₄×Dic₁₃	—	2	2	no	—
125	C₄×Dic₁₃	—	2	2	no	—
126	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
127	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
128	C₄×Dic₁₃	#41	1	1	yes	characteristic
129	C₂×#1055	—	2	1	no	—
130	C₂×#1055	—	2	2	no	—
131	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
132	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
133	C₂×#1055	C₂×D₄	1	1	yes	characteristic
134	C₂×#1055	C₂×D₄	1	1	yes	characteristic
135	Dic₅₂	—	2	2	no	—
136	C₈×D₁₃	—	2	4	no	—
137	C₈×D₁₃	—	2	2	no	—
138	C₈×D₁₃	—	2	2	no	—
139	C₈×D₁₃	—	4	4	no	—
140	C₈×D₁₃	M₁₆	1	4	yes	—
141	C₈×D₁₃	Q₁₆	1	4	yes	complemented
142	C₂×#446	—	13	2	no	—
143	C₂×C₄×Q₁₆	—	13	1	no	—
144	#1591	—	13	2	no	—
145	#1591	—	13	1	no	—
146	#1591	—	13	1	no	—
147	#1591	—	13	2	no	—
148	#1591	—	13	1	no	—
149	#1591	D₁₃	1	1	yes	characteristic, direct product factor
150	C₂×#335	—	13	1	no	—
151	C₂×Q₈⋊C₈	—	13	2	no	—
152	C₂×C₈²	—	13	1	no	—
153	C₂²×D₁₃	C₄×D₄	1	1	yes	characteristic
154	Q₈×C₁₃	—	2	2	no	—
155	Q₈×C₁₃	—	2	2	no	—
156	C₂×C₄×C₁₃	—	2	2	no	—
157	C₂×C₄×C₁₃	—	2	2	no	—
158	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
159	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
160	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
161	C₂×Dic₁₃	—	2	2	no	—
162	C₂×Dic₁₃	—	2	2	no	—
163	C₂×Dic₁₃	C₄×D₄	1	1	yes	characteristic
164	C₂×Dic₁₃	C₄×D₄	1	1	yes	characteristic
165	C₂×Dic₁₃	C₄×D₄	1	1	yes	characteristic
166	C₄×D₁₃	—	2	2	no	—
167	C₄×D₁₃	—	4	4	no	—
168	C₄×D₁₃	—	4	4	no	—
169	C₄×D₁₃	C₂×M₁₆	1	2	yes	—
170	C₄×D₁₃	#131	1	2	yes	—
171	C₄×D₁₃	C₂×Q₁₆	1	2	yes	—
172	C₄×D₁₃	#135	1	2	yes	—
173	Dic₂₆	—	2	2	no	—
174	Dic₂₆	—	2	2	no	—
175	Dic₂₆	—	4	4	no	—
176	C₈×C₁₃	—	2	2	no	—
177	C₈×C₁₃	—	2	1	no	—
178	C₈×C₁₃	—	2	1	no	—
179	C₈×C₁₃	—	4	2	no	—
180	C₈×C₁₃	C₂×M₁₆	1	2	yes	—
181	C₈×C₁₃	C₂×Q₁₆	1	2	yes	complemented
182	#1055	—	2	2	no	—
183	#1055	—	2	1	no	—
184	#1055	—	2	1	no	—
185	#1055	—	4	2	no	—
186	#1055	C₂×M₁₆	1	2	yes	—
187	#1055	C₂×Q₁₆	1	2	yes	complemented
188	C₂²×Q₁₆	—	13	1	no	—
189	C₂×C₄×Q₈	—	13	2	no	—
190	#446	—	13	2	no	—
191	#446	—	13	2	no	—
192	#446	—	13	2	no	—
193	#446	—	26	2	no	—
194	#446	—	26	2	no	—
195	#446	C₂×D₁₃	1	2	yes	—
196	C₄×Q₁₆	—	13	1	no	—
197	C₄×Q₁₆	—	13	2	no	—
198	C₄×Q₁₆	—	13	1	no	—
199	C₄×Q₁₆	—	13	2	no	—
200	C₄×Q₁₆	—	13	1	no	—
201	C₄×Q₁₆	C₂×D₁₃	1	1	yes	characteristic
202	C₂×#107	—	13	1	no	—
203	C₂×C₄⋊C₈	—	13	2	no	—
204	C₂×C₄⋊C₈	—	26	2	no	—
205	C₂×#103	—	13	2	no	—
206	C₂×#97	—	26	2	no	—
207	C₂×C₄×C₈	—	13	1	no	—
208	C₂×C₄×C₈	—	13	1	no	—
209	C₂×C₄×C₈	—	13	1	no	—
210	#335	—	13	2	no	—
211	#335	—	13	1	no	—
212	#335	C₂×D₁₃	1	1	yes	characteristic
213	Q₈⋊C₈	—	13	2	no	—
214	Q₈⋊C₈	—	13	2	no	—
215	Q₈⋊C₈	—	13	2	no	—
216	Q₈⋊C₈	C₂×D₁₃	1	2	yes	—
217	C₈²	—	13	1	no	—
218	C₈²	—	13	1	no	—
219	C₈²	—	13	1	no	—
220	C₈²	C₂×D₁₃	1	1	yes	characteristic
221	C₂²×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
222	C₂×D₁₃	#436	1	2	yes	—
223	C₂×D₁₃	C₄×Q₁₆	1	2	yes	—
224	C₂×D₁₃	#443	1	2	yes	—
225	C₄×C₁₃	—	2	1	no	—
226	C₄×C₁₃	—	4	2	no	—
227	C₄×C₁₃	—	4	2	no	—
228	C₄×C₁₃	C₂²×M₁₆	1	1	yes	characteristic
229	C₄×C₁₃	C₂×#131	1	1	yes	characteristic
230	C₄×C₁₃	C₂²×Q₁₆	1	1	yes	characteristic
231	C₄×C₁₃	C₂×#135	1	1	yes	characteristic
232	Dic₁₃	—	2	1	no	—
233	Dic₁₃	—	4	2	no	—
234	Dic₁₃	—	4	2	no	—
235	Dic₁₃	#436	1	2	yes	—
236	Dic₁₃	C₄×Q₁₆	1	2	yes	—
237	C₂²×Q₈	—	13	2	no	—
238	C₂×Q₁₆	—	13	2	no	—
239	C₂×Q₁₆	—	13	1	no	—
240	C₂×Q₁₆	—	26	4	no	—
241	C₂×Q₁₆	C₄×D₁₃	1	1	yes	characteristic
242	C₂²×C₈	—	13	1	no	—
243	C₂²×C₈	—	13	1	no	—
244	C₂²×C₈	—	13	1	no	—
245	C₂²×C₈	—	13	1	no	—
246	C₂²×C₈	—	26	1	no	—
247	C₂²×C₈	—	26	2	no	—
248	C₄×Q₈	—	13	2	no	—
249	C₄×Q₈	—	13	2	no	—
250	C₄×Q₈	—	13	2	no	—
251	C₄×Q₈	—	26	2	no	—
252	C₄×Q₈	—	26	2	no	—
253	C₄×Q₈	C₂²×D₁₃	1	2	yes	—
254	C₂×C₄⋊C₄	—	13	2	no	—
255	C₂×C₄⋊C₄	—	26	2	no	—
256	C₂×C₄²	—	13	1	no	—
257	C₂×C₄²	—	26	2	no	—
258	#107	—	13	1	no	—
259	#107	—	13	2	no	—
260	#107	C₄×D₁₃	1	1	yes	characteristic
261	C₄⋊C₈	—	2	2	no	—
262	C₄⋊C₈	—	13	2	no	—
263	C₄⋊C₈	—	26	2	no	—
264	C₄⋊C₈	—	26	2	no	—
265	C₄⋊C₈	—	26	2	no	—
266	C₄⋊C₈	—	26	2	no	—
267	C₄⋊C₈	C₂²×D₁₃	1	2	yes	—
268	#103	—	13	2	no	—
269	#103	—	13	2	no	—
270	#103	—	13	2	no	—
271	#103	C₄×D₁₃	1	2	yes	—
272	#97	—	2	2	no	—
273	#97	—	26	2	no	—
274	#97	—	26	2	no	—
275	#97	—	26	2	no	—
276	C₄×C₈	—	13	1	no	—
277	C₄×C₈	—	13	1	no	—
278	C₄×C₈	—	13	1	no	—
279	C₄×C₈	—	13	1	no	—
280	C₄×C₈	—	13	1	no	—
281	C₄×C₈	—	13	1	no	—
282	C₄×C₈	—	13	1	no	—
283	C₄×C₈	—	26	1	no	—
284	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
285	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
286	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
287	C₂×C₁₃	C₂×#436	1	1	yes	characteristic
288	C₂×C₁₃	C₂×C₄×Q₁₆	1	1	yes	characteristic
289	C₂×C₁₃	C₂×#443	1	1	yes	characteristic
290	D₁₃	#1591	1	4	yes	direct product factor
291	C₂×Q₈	—	13	2	no	—
292	C₂×Q₈	—	26	2	no	—
293	C₂×Q₈	—	26	4	no	—
294	C₂×Q₈	—	26	4	no	—
295	C₂×Q₈	C₂×C₄×D₁₃	1	2	yes	—
296	C₂²×C₄	—	13	1	no	—
297	C₂²×C₄	—	13	1	no	—
298	C₂²×C₄	—	13	1	no	—
299	C₂²×C₄	—	26	2	no	—
300	C₂²×C₄	—	26	2	no	—
301	Q₁₆	—	2	2	no	—
302	Q₁₆	—	26	4	no	—
303	Q₁₆	—	26	2	no	—
304	C₂×C₈	—	2	1	no	—
305	C₂×C₈	—	2	2	no	—
306	C₂×C₈	—	13	1	no	—
307	C₂×C₈	—	13	1	no	—
308	C₂×C₈	—	13	4	no	—
309	C₂×C₈	—	13	4	no	—
310	C₂×C₈	—	13	1	no	—
311	C₂×C₈	—	13	1	no	—
312	C₂×C₈	—	26	2	no	—
313	C₂×C₈	—	26	2	no	—
314	C₂×C₈	—	26	4	no	—
315	C₂×C₈	—	26	1	no	—
316	C₂×C₈	—	26	2	no	—
317	C₂×C₈	—	52	4	no	—
318	C₂×C₈	C₂×C₄×D₁₃	1	1	yes	characteristic
319	C₂×C₈	C₂×C₄×D₁₃	1	1	yes	characteristic
320	C₂×C₈	D₄×D₁₃	1	1	yes	characteristic
321	C₂×C₈	D₄×D₁₃	1	1	yes	characteristic
322	C₄⋊C₄	—	2	2	no	—
323	C₄⋊C₄	—	13	2	no	—
324	C₄⋊C₄	—	26	2	no	—
325	C₄⋊C₄	—	26	2	no	—
326	C₄⋊C₄	—	26	2	no	—
327	C₄⋊C₄	—	26	2	no	—
328	C₄⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
329	C₄²	—	2	2	no	—
330	C₄²	—	13	1	no	—
331	C₄²	—	13	1	no	—
332	C₄²	—	13	1	no	—
333	C₄²	—	26	2	no	—
334	C₄²	—	26	2	no	—
335	C₄²	—	26	2	no	—
336	C₄²	C₂³×D₁₃	1	1	yes	characteristic
337	C₁₃	C₂×#1591	1	1	yes	characteristic, complemented, Sylow
338	C₂³	—	13	1	no	—
339	Q₈	—	2	2	no	—
340	Q₈	—	2	2	no	—
341	Q₈	—	26	2	no	—
342	Q₈	—	26	2	no	—
343	Q₈	—	52	4	no	—
344	C₂×C₄	—	2	2	no	—
345	C₂×C₄	—	2	2	no	—
346	C₂×C₄	—	13	1	no	—
347	C₂×C₄	—	13	1	no	—
348	C₂×C₄	—	13	2	no	—
349	C₂×C₄	—	13	2	no	—
350	C₂×C₄	—	13	2	no	—
351	C₂×C₄	—	13	2	no	—
352	C₂×C₄	—	13	1	no	—
353	C₂×C₄	—	26	2	no	—
354	C₂×C₄	—	26	2	no	—
355	C₂×C₄	—	26	2	no	—
356	C₂×C₄	—	52	4	no	—
357	C₂×C₄	—	52	4	no	—
358	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
359	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
360	C₂×C₄	#41×D₁₃	1	1	yes	characteristic
361	C₈	—	2	2	no	—
362	C₈	—	2	1	no	—
363	C₈	—	2	1	no	—
364	C₈	—	4	2	no	—
365	C₈	—	13	2	no	—
366	C₈	—	13	2	no	—
367	C₈	—	26	2	no	—
368	C₈	—	26	1	no	—
369	C₈	—	26	1	no	—
370	C₈	—	52	2	no	—
371	C₈	M₁₆×D₁₃	1	2	yes	—
372	C₈	Q₁₆×D₁₃	1	2	yes	complemented
373	C₂²	—	13	2	no	—
374	C₂²	—	13	2	no	—
375	C₂²	—	13	2	no	—
376	C₂²	C₄×D₄×D₁₃	1	1	yes	characteristic
377	C₄	—	2	1	no	—
378	C₄	—	4	2	no	—
379	C₄	—	4	2	no	—
380	C₄	—	13	2	no	—
381	C₄	—	13	2	no	—
382	C₄	—	26	1	no	—
383	C₄	—	52	2	no	—
384	C₄	—	52	2	no	—
385	C₄	C₂×M₁₆×D₁₃	1	1	yes	characteristic
386	C₄	D₁₃×#131	1	1	yes	characteristic
387	C₄	C₂×Q₁₆×D₁₃	1	1	yes	characteristic
388	C₄	D₁₃×#135	1	1	yes	characteristic
389	C₂	—	13	4	no	—
390	C₂	D₁₃×#436	1	1	yes	characteristic
391	C₂	C₄×Q₁₆×D₁₃	1	1	yes	characteristic
392	C₂	D₁₃×#443	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₁₃
commutator	C₂×C₄×C₁₃	C₂³×C₄
Frattini	C₄²	C₂³×D₁₃
Fitting	C₁₃×#1591	C₂
socle	C₂²×C₁₃	C₂×C₄×D₄
prime radical	C₂²×D₁₃	C₄×D₄
cosocle	C₄²×C₁₃	C₂⁴
hypercenter	#1591	D₁₃
hypocenter	C₁₃	C₂×#1591
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ C₄×C₈ ◁ #1591

Complements

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

N	H ≅ G/N	type
3. #13113734	C₂	semidirect
4. #13113733	C₂	semidirect
5. #13113732	C₂	semidirect
6. #13113731	C₂	semidirect
7. #13113730	C₂	semidirect
11. C₁₃×#1591	C₂	semidirect
141. C₈×D₁₃	Q₁₆	semidirect
149. #1591	D₁₃	direct (N × H)
181. C₈×C₁₃	C₂×Q₁₆	semidirect
187. #1055	C₂×Q₁₆	semidirect
290. D₁₃	#1591	direct (N × H)
337. C₁₃	C₂×#1591	semidirect
372. C₈	Q₁₆×D₁₃	semidirect

Maximal subgroups

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

subgroup	index
D₁₃×#446	2
C₄×Q₁₆×D₁₃	2
#13113734	2
#13113733	2
#13113732	2
#13113731	2
#13113730	2
D₁₃×#335	2
D₁₃×Q₈⋊C₈	2
C₈²×D₁₃	2
C₁₃×#1591	2
C₂×#1591	13

Subgroups — D13×#1591 #15832657

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₃×#1591 #15832657