Subgroups — D₁₃×#1690 #15845521

Order 3328.

682 conjugacy classes of subgroups.

The subgroup lattice has 432 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₁₃×#494	C₂	1	1	yes	maximal, characteristic
2	D₁₃×#475	C₂	1	2	yes	maximal
3	D₁₃×#446	C₂	1	1	yes	maximal, characteristic
4	#13114331	C₂	1	1	yes	maximal, characteristic, complemented
5	#13114330	C₂	1	1	yes	maximal, characteristic, complemented
6	#13114329	C₂	1	2	yes	maximal, complemented
7	#13114328	C₂	1	2	yes	maximal, complemented
8	#13114327	C₂	1	1	yes	maximal, characteristic, complemented
9	D₁₃×#334	C₂	1	1	yes	maximal, characteristic
10	D₁₃×#332	C₂	1	2	yes	maximal
11	C₁₃×#1690	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×Q₁₆×D₁₃	—	2	1	no	—
13	C₂×Q₁₆×D₁₃	—	2	1	no	—
14	D₁₃×C₄⋊Q₈	C₂²	1	2	yes	—
15	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic
16	C₁₃×#494	C₂²	1	1	yes	characteristic
17	C₁₃×#475	C₂²	1	2	yes	—
18	C₁₃×#446	C₂²	1	1	yes	characteristic
19	#11718842	—	2	1	no	—
20	#11718842	—	2	1	no	—
21	#11718755	C₂²	1	2	yes	—
22	#11718753	C₂²	1	2	yes	—
23	#11718685	C₂²	1	1	yes	characteristic
24	#11718681	C₂²	1	2	yes	—
25	D₁₃×#106	—	2	2	no	—
26	#11718515	—	2	2	no	—
27	#11718512	C₂²	1	2	yes	—
28	D₁₃×C₄⋊C₈	—	2	1	no	—
29	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
30	D₁₃×C₄⋊C₈	C₂²	1	2	yes	—
31	#11718492	C₂²	1	1	yes	characteristic
32	#11718489	—	2	1	no	—
33	D₁₃×#103	—	2	2	no	—
34	#11718452	—	2	2	no	—
35	D₁₃×#97	—	2	1	no	—
36	#11718362	—	2	1	no	—
37	#11718360	C₂²	1	1	yes	characteristic
38	C₄×C₈×D₁₃	C₂²	1	1	yes	characteristic
39	#11718340	C₂²	1	1	yes	characteristic
40	C₁₃×#334	C₂²	1	1	yes	characteristic
41	C₁₃×#332	C₂²	1	2	yes	—
42	#11718139	C₂²	1	2	yes	—
43	#11718078	C₂²	1	2	yes	—
44	#11718074	C₂²	1	2	yes	—
45	#11718072	C₂²	1	2	yes	—
46	#11718049	C₂²	1	1	yes	characteristic
47	C₂×Q₈×D₁₃	—	2	2	no	—
48	C₂×Q₈×D₁₃	D₄	1	1	yes	characteristic
49	C₂×C₁₃×Q₁₆	—	2	1	no	—
50	C₂×C₁₃×Q₁₆	—	2	1	no	—
51	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
52	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
53	Q₈×Dic₁₃	D₄	1	1	yes	characteristic
54	#88198	—	2	2	no	—
55	C₂×#6107	—	2	2	no	—
56	C₂×#6107	—	2	2	no	—
57	Q₁₆×D₁₃	—	4	4	no	—
58	Q₁₆×D₁₃	—	4	4	no	—
59	C₂×Dic₅₂	—	2	1	no	—
60	C₂×Dic₅₂	—	2	1	no	—
61	C₂×C₈×D₁₃	—	2	2	no	—
62	C₂×C₈×D₁₃	—	2	1	no	—
63	C₂×C₈×D₁₃	D₄	1	1	yes	characteristic
64	C₂×C₈×D₁₃	D₄	1	1	yes	characteristic
65	C₄⋊C₄×D₁₃	—	2	1	no	—
66	C₄⋊C₄×D₁₃	—	2	2	no	—
67	C₄⋊C₄×D₁₃	—	2	2	no	—
68	C₄⋊C₄×D₁₃	D₄	1	1	yes	characteristic
69	#88142	—	2	2	no	—
70	#88142	—	2	2	no	—
71	#88141	—	2	1	no	—
72	#88141	D₄	1	1	yes	characteristic
73	C₄²×D₁₃	—	2	1	no	—
74	C₄²×D₁₃	C₂³	1	1	yes	characteristic
75	#88123	C₂³	1	2	yes	—
76	C₄×Dic₂₆	—	2	1	no	—
77	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
78	C₁₃×#106	—	2	2	no	—
79	C₁₃×C₄⋊C₈	—	2	1	no	—
80	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
81	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
82	C₁₃×#103	—	2	2	no	—
83	C₁₃×#97	—	2	1	no	—
84	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
85	#88075	—	2	2	no	—
86	#88057	—	2	2	no	—
87	#88056	—	2	2	no	—
88	#88055	—	2	1	no	—
89	#88055	—	2	1	no	—
90	#88054	—	2	1	no	—
91	#88054	—	2	2	no	—
92	#88054	—	2	1	no	—
93	#88054	—	2	1	no	—
94	C₈×Dic₁₃	D₄	1	1	yes	characteristic
95	C₈×Dic₁₃	D₄	1	1	yes	characteristic
96	#88050	—	2	2	no	—
97	#88048	—	2	2	no	—
98	#88048	—	2	2	no	—
99	C₄⋊#1055	—	2	1	no	—
100	C₄⋊#1055	C₂³	1	2	yes	—
101	C₄⋊#1055	C₂³	1	1	yes	characteristic
102	#88043	—	2	1	no	—
103	C₄×#1055	C₂³	1	1	yes	characteristic
104	C₂×#1690	—	13	1	no	maximal, Sylow
105	C₂×Q₈×C₁₃	—	2	2	no	—
106	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
107	Q₈×D₁₃	—	2	4	no	—
108	Q₈×D₁₃	—	4	4	no	—
109	Q₈×D₁₃	—	4	4	no	—
110	C₂×C₄×D₁₃	—	2	1	no	—
111	C₂×C₄×D₁₃	—	2	1	no	—
112	C₂×C₄×D₁₃	—	4	2	no	—
113	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
114	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
115	C₂×C₄×D₁₃	#41	1	1	yes	characteristic
116	C₂×Dic₂₆	—	2	1	no	—
117	C₂×Dic₂₆	—	2	2	no	—
118	C₂×Dic₂₆	—	4	2	no	—
119	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
120	C₁₃×Q₁₆	—	4	2	no	—
121	C₁₃×Q₁₆	—	4	2	no	—
122	C₂×C₈×C₁₃	—	2	1	no	—
123	C₂×C₈×C₁₃	—	2	2	no	—
124	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
125	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
126	C₁₃×C₄⋊C₄	—	2	1	no	—
127	C₁₃×C₄⋊C₄	—	2	2	no	—
128	C₁₃×C₄⋊C₄	—	2	2	no	—
129	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
130	C₄²×C₁₃	—	2	1	no	—
131	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
132	#6107	—	4	4	no	—
133	#6107	—	4	4	no	—
134	C₄⋊Dic₁₃	—	2	1	no	—
135	C₄⋊Dic₁₃	—	2	2	no	—
136	C₄⋊Dic₁₃	—	2	2	no	—
137	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
138	#6101	—	2	1	no	—
139	#6101	—	2	1	no	—
140	#6101	—	2	1	no	—
141	#6101	—	4	2	no	—
142	#6101	—	4	2	no	—
143	C₄×Dic₁₃	—	2	1	no	—
144	C₄×Dic₁₃	—	2	1	no	—
145	C₄×Dic₁₃	—	2	1	no	—
146	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
147	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
148	C₄×Dic₁₃	#41	1	1	yes	characteristic
149	C₂×#1055	—	2	2	no	—
150	C₂×#1055	—	2	1	no	—
151	C₂×#1055	C₂×D₄	1	1	yes	characteristic
152	C₂×#1055	C₂×D₄	1	1	yes	characteristic
153	Dic₅₂	—	4	2	no	—
154	Dic₅₂	—	4	2	no	—
155	C₈×D₁₃	—	2	2	no	—
156	C₈×D₁₃	—	4	2	no	—
157	C₈×D₁₃	—	4	4	no	—
158	C₈×D₁₃	SD₁₆	1	4	yes	—
159	C₂×#494	—	13	1	no	—
160	C₂×#475	—	13	2	no	—
161	C₂×#446	—	13	1	no	—
162	#1690	—	13	1	no	—
163	#1690	—	13	2	no	—
164	#1690	—	13	1	no	—
165	#1690	—	13	1	no	—
166	#1690	—	13	2	no	—
167	#1690	D₁₃	1	1	yes	characteristic, direct product factor
168	C₂×#334	—	13	1	no	—
169	C₂×#332	—	13	2	no	—
170	C₂²×D₁₃	#121	1	1	yes	characteristic
171	Q₈×C₁₃	—	2	2	no	—
172	Q₈×C₁₃	—	4	2	no	—
173	Q₈×C₁₃	—	4	2	no	—
174	C₂×C₄×C₁₃	—	2	1	no	—
175	C₂×C₄×C₁₃	—	2	1	no	—
176	C₂×C₄×C₁₃	—	4	2	no	—
177	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
178	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
179	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
180	C₂×Dic₁₃	—	2	1	no	—
181	C₂×Dic₁₃	—	2	1	no	—
182	C₂×Dic₁₃	—	4	2	no	—
183	C₂×Dic₁₃	#121	1	1	yes	characteristic
184	C₂×Dic₁₃	#121	1	1	yes	characteristic
185	C₂×Dic₁₃	#121	1	1	yes	characteristic
186	C₄×D₁₃	—	2	2	no	—
187	C₄×D₁₃	—	4	2	no	—
188	C₄×D₁₃	—	4	2	no	—
189	C₄×D₁₃	—	8	4	no	—
190	C₄×D₁₃	C₂×SD₁₆	1	2	yes	—
191	C₄×D₁₃	AGL(1,ℤ/8)	1	2	yes	—
192	C₄×D₁₃	#137	1	4	yes	—
193	Dic₂₆	—	2	2	no	—
194	Dic₂₆	—	4	2	no	—
195	Dic₂₆	—	4	2	no	—
196	Dic₂₆	—	4	2	no	—
197	Dic₂₆	—	8	4	no	—
198	C₈×C₁₃	—	2	1	no	—
199	C₈×C₁₃	—	4	1	no	—
200	C₈×C₁₃	—	4	2	no	—
201	C₈×C₁₃	C₂×SD₁₆	1	2	yes	—
202	#1055	—	2	1	no	—
203	#1055	—	4	1	no	—
204	#1055	—	4	2	no	—
205	#1055	C₂×SD₁₆	1	2	yes	—
206	C₂²×Q₁₆	—	26	1	no	—
207	C₂²×Q₁₆	—	26	1	no	—
208	C₂×C₄⋊Q₈	—	13	2	no	—
209	C₂×C₄×Q₈	—	13	1	no	—
210	#494	—	13	2	no	—
211	#494	—	13	1	no	—
212	#494	—	26	1	no	—
213	#494	—	26	1	no	—
214	#494	C₂×D₁₃	1	1	yes	characteristic
215	#475	—	13	2	no	—
216	#475	—	13	2	no	—
217	#475	—	13	2	no	—
218	#475	—	26	2	no	—
219	#475	—	26	2	no	—
220	#475	C₂×D₁₃	1	2	yes	—
221	#446	—	13	1	no	—
222	#446	—	13	1	no	—
223	#446	—	13	1	no	—
224	#446	—	26	1	no	—
225	#446	—	26	1	no	—
226	#446	C₂×D₁₃	1	1	yes	characteristic
227	C₂×#106	—	26	2	no	—
228	C₂×C₄⋊C₈	—	13	2	no	—
229	C₂×C₄⋊C₈	—	13	1	no	—
230	C₂×C₄⋊C₈	—	26	1	no	—
231	C₂×#103	—	26	2	no	—
232	C₂×#97	—	26	1	no	—
233	C₂×C₄×C₈	—	13	1	no	—
234	#334	—	13	2	no	—
235	#334	—	13	1	no	—
236	#334	C₂×D₁₃	1	1	yes	characteristic
237	#332	—	13	2	no	—
238	#332	—	13	2	no	—
239	#332	—	13	2	no	—
240	#332	C₂×D₁₃	1	2	yes	—
241	C₂²×C₁₃	C₂×#121	1	1	yes	characteristic
242	C₂×D₁₃	#460	1	2	yes	—
243	C₂×D₁₃	#470	1	2	yes	—
244	C₂×D₁₃	#473	1	2	yes	—
245	C₄×C₁₃	—	2	1	no	—
246	C₄×C₁₃	—	4	1	no	—
247	C₄×C₁₃	—	4	1	no	—
248	C₄×C₁₃	—	8	2	no	—
249	C₄×C₁₃	C₂²×SD₁₆	1	1	yes	characteristic
250	C₄×C₁₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
251	C₄×C₁₃	C₂×#137	1	2	yes	—
252	Dic₁₃	—	2	1	no	—
253	Dic₁₃	—	4	1	no	—
254	Dic₁₃	—	4	1	no	—
255	Dic₁₃	—	8	2	no	—
256	Dic₁₃	#460	1	2	yes	—
257	Dic₁₃	#470	1	2	yes	—
258	C₂²×Q₈	—	13	1	no	—
259	C₂²×Q₈	—	26	2	no	—
260	C₂×Q₁₆	—	2	1	no	—
261	C₂×Q₁₆	—	2	1	no	—
262	C₂×Q₁₆	—	26	2	no	—
263	C₂×Q₁₆	—	26	2	no	—
264	C₂×Q₁₆	—	26	1	no	—
265	C₂×Q₁₆	—	26	1	no	—
266	C₂×Q₁₆	—	52	4	no	—
267	C₂×Q₁₆	—	52	4	no	—
268	C₂²×C₈	—	13	1	no	—
269	C₂²×C₈	—	13	1	no	—
270	C₂²×C₈	—	26	1	no	—
271	C₂²×C₈	—	26	2	no	—
272	C₄⋊Q₈	—	13	2	no	—
273	C₄⋊Q₈	—	26	2	no	—
274	C₄⋊Q₈	—	26	2	no	—
275	C₄⋊Q₈	—	26	2	no	—
276	C₄⋊Q₈	C₂²×D₁₃	1	2	yes	—
277	C₄×Q₈	—	13	1	no	—
278	C₄×Q₈	—	13	1	no	—
279	C₄×Q₈	—	13	1	no	—
280	C₄×Q₈	—	26	1	no	—
281	C₄×Q₈	—	26	1	no	—
282	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
283	C₂×C₄⋊C₄	—	13	1	no	—
284	C₂×C₄⋊C₄	—	26	1	no	—
285	C₂×C₄⋊C₄	—	26	2	no	—
286	C₂×C₄⋊C₄	—	26	2	no	—
287	C₂×C₄²	—	13	1	no	—
288	C₂×C₄²	—	26	1	no	—
289	#106	—	2	2	no	—
290	#106	—	26	2	no	—
291	#106	—	26	2	no	—
292	#106	—	26	2	no	—
293	C₄⋊C₈	—	2	1	no	—
294	C₄⋊C₈	—	13	1	no	—
295	C₄⋊C₈	—	13	2	no	—
296	C₄⋊C₈	—	26	1	no	—
297	C₄⋊C₈	—	26	1	no	—
298	C₄⋊C₈	—	26	2	no	—
299	C₄⋊C₈	—	26	1	no	—
300	C₄⋊C₈	—	26	1	no	—
301	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
302	C₄⋊C₈	C₂²×D₁₃	1	2	yes	—
303	#103	—	2	2	no	—
304	#103	—	26	2	no	—
305	#103	—	26	2	no	—
306	#103	—	26	2	no	—
307	#97	—	2	1	no	—
308	#97	—	26	1	no	—
309	#97	—	26	1	no	—
310	#97	—	26	1	no	—
311	C₄×C₈	—	13	1	no	—
312	C₄×C₈	—	13	1	no	—
313	C₄×C₈	—	13	1	no	—
314	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
315	C₂×C₁₃	C₂×#460	1	1	yes	characteristic
316	C₂×C₁₃	C₂×#470	1	1	yes	characteristic
317	C₂×C₁₃	C₂×#473	1	1	yes	characteristic
318	D₁₃	#1690	1	4	yes	direct product factor
319	C₂×Q₈	—	2	2	no	—
320	C₂×Q₈	—	13	1	no	—
321	C₂×Q₈	—	26	1	no	—
322	C₂×Q₈	—	26	4	no	—
323	C₂×Q₈	—	26	2	no	—
324	C₂×Q₈	—	52	2	no	—
325	C₂×Q₈	—	52	4	no	—
326	C₂×Q₈	—	52	4	no	—
327	C₂×Q₈	D₄×D₁₃	1	1	yes	characteristic
328	C₂²×C₄	—	13	1	no	—
329	C₂²×C₄	—	13	1	no	—
330	C₂²×C₄	—	13	1	no	—
331	C₂²×C₄	—	26	1	no	—
332	C₂²×C₄	—	26	1	no	—
333	C₂²×C₄	—	52	2	no	—
334	Q₁₆	—	4	2	no	—
335	Q₁₆	—	4	2	no	—
336	Q₁₆	—	52	2	no	—
337	Q₁₆	—	52	4	no	—
338	Q₁₆	—	52	4	no	—
339	Q₁₆	—	52	2	no	—
340	C₂×C₈	—	2	1	no	—
341	C₂×C₈	—	2	2	no	—
342	C₂×C₈	—	13	1	no	—
343	C₂×C₈	—	13	4	no	—
344	C₂×C₈	—	13	1	no	—
345	C₂×C₈	—	26	2	no	—
346	C₂×C₈	—	26	1	no	—
347	C₂×C₈	—	26	2	no	—
348	C₂×C₈	—	52	2	no	—
349	C₂×C₈	—	52	4	no	—
350	C₂×C₈	D₄×D₁₃	1	1	yes	characteristic
351	C₂×C₈	D₄×D₁₃	1	1	yes	characteristic
352	C₄⋊C₄	—	2	1	no	—
353	C₄⋊C₄	—	2	2	no	—
354	C₄⋊C₄	—	2	2	no	—
355	C₄⋊C₄	—	13	1	no	—
356	C₄⋊C₄	—	26	1	no	—
357	C₄⋊C₄	—	26	1	no	—
358	C₄⋊C₄	—	26	1	no	—
359	C₄⋊C₄	—	26	1	no	—
360	C₄⋊C₄	—	26	2	no	—
361	C₄⋊C₄	—	26	2	no	—
362	C₄⋊C₄	—	52	2	no	—
363	C₄⋊C₄	—	52	2	no	—
364	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
365	C₄²	—	2	1	no	—
366	C₄²	—	13	1	no	—
367	C₄²	—	13	1	no	—
368	C₄²	—	13	1	no	—
369	C₄²	—	26	1	no	—
370	C₄²	—	26	1	no	—
371	C₄²	—	26	1	no	—
372	C₄²	C₂³×D₁₃	1	1	yes	characteristic
373	C₁₃	C₂×#1690	1	1	yes	characteristic, complemented, Sylow
374	C₂³	—	13	1	no	—
375	Q₈	—	2	2	no	—
376	Q₈	—	4	2	no	—
377	Q₈	—	4	2	no	—
378	Q₈	—	26	2	no	—
379	Q₈	—	52	2	no	—
380	Q₈	—	52	2	no	—
381	Q₈	—	52	2	no	—
382	Q₈	—	104	4	no	—
383	C₂×C₄	—	2	1	no	—
384	C₂×C₄	—	2	1	no	—
385	C₂×C₄	—	4	2	no	—
386	C₂×C₄	—	13	1	no	—
387	C₂×C₄	—	13	1	no	—
388	C₂×C₄	—	13	2	no	—
389	C₂×C₄	—	13	2	no	—
390	C₂×C₄	—	13	4	no	—
391	C₂×C₄	—	13	1	no	—
392	C₂×C₄	—	26	2	no	—
393	C₂×C₄	—	26	1	no	—
394	C₂×C₄	—	26	1	no	—
395	C₂×C₄	—	52	2	no	—
396	C₂×C₄	—	52	2	no	—
397	C₂×C₄	—	52	2	no	—
398	C₂×C₄	—	104	4	no	—
399	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
400	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
401	C₂×C₄	#41×D₁₃	1	1	yes	characteristic
402	C₈	—	2	1	no	—
403	C₈	—	4	1	no	—
404	C₈	—	4	2	no	—
405	C₈	—	13	2	no	—
406	C₈	—	26	1	no	—
407	C₈	—	52	1	no	—
408	C₈	—	52	2	no	—
409	C₈	SD₁₆×D₁₃	1	2	yes	—
410	C₂²	—	13	2	no	—
411	C₂²	—	13	2	no	—
412	C₂²	—	13	2	no	—
413	C₂²	D₁₃×#121	1	1	yes	characteristic
414	C₄	—	2	1	no	—
415	C₄	—	4	1	no	—
416	C₄	—	4	1	no	—
417	C₄	—	8	2	no	—
418	C₄	—	13	2	no	—
419	C₄	—	13	2	no	—
420	C₄	—	26	1	no	—
421	C₄	—	52	1	no	—
422	C₄	—	52	1	no	—
423	C₄	—	104	2	no	—
424	C₄	C₂×SD₁₆×D₁₃	1	1	yes	characteristic
425	C₄	D₁₃×AGL(1,ℤ/8)	1	1	yes	characteristic
426	C₄	D₁₃×#137	1	2	yes	—
427	C₂	—	13	4	no	—
428	C₂	D₁₃×#460	1	1	yes	characteristic
429	C₂	D₁₃×#470	1	1	yes	characteristic
430	C₂	D₁₃×#473	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	D₁₃×#121
commutator, cosocle	C₄²×C₁₃	C₂⁴
Frattini	C₄²	C₂³×D₁₃
Fitting	C₁₃×#1690	C₂
socle	C₂²×C₁₃	C₂×#121
prime radical	C₂²×D₁₃	#121
hypercenter	#1690	D₁₃
hypocenter	C₁₃	C₂×#1690
LCS	G ▷ C₄²×C₁₃ ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄² ◁ #1690

Complements

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

N	H ≅ G/N	type
4. #13114331	C₂	semidirect
5. #13114330	C₂	semidirect
6. #13114329	C₂	semidirect
7. #13114328	C₂	semidirect
8. #13114327	C₂	semidirect
11. C₁₃×#1690	C₂	semidirect
167. #1690	D₁₃	direct (N × H)
318. D₁₃	#1690	direct (N × H)
373. C₁₃	C₂×#1690	semidirect

Maximal subgroups

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

subgroup	index
D₁₃×#494	2
D₁₃×#475	2
D₁₃×#446	2
#13114331	2
#13114330	2
#13114329	2
#13114328	2
#13114327	2
D₁₃×#334	2
D₁₃×#332	2
C₁₃×#1690	2
C₂×#1690	13

Subgroups — D13×#1690 #15845521

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₃×#1690 #15845521