Subgroups — D₁₃×#1694 #15845543

Order 3328.

682 conjugacy classes of subgroups.

The subgroup lattice has 426 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₁₃×#500	C₂	1	1	yes	maximal, characteristic
2	D₁₃×#462	C₂	1	2	yes	maximal
3	D₁₃×#446	C₂	1	1	yes	maximal, characteristic
4	#13114355	C₂	1	1	yes	maximal, characteristic, complemented
5	#13114354	C₂	1	1	yes	maximal, characteristic, complemented
6	#13114353	C₂	1	2	yes	maximal, complemented
7	#13114352	C₂	1	2	yes	maximal, complemented
8	#13114351	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×#1694	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×Q₁₆×D₁₃	—	2	2	no	—
13	D₁₃×C₄⋊Q₈	C₂²	1	2	yes	—
14	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic
15	C₁₃×#500	C₂²	1	1	yes	characteristic
16	C₁₃×#462	C₂²	1	2	yes	—
17	C₁₃×#446	C₂²	1	1	yes	characteristic
18	#11718843	—	2	2	no	—
19	#11718751	C₂²	1	2	yes	—
20	#11718739	C₂²	1	2	yes	—
21	#11718692	C₂²	1	2	yes	—
22	#11718685	C₂²	1	1	yes	characteristic
23	D₁₃×#107	—	2	1	no	—
24	D₁₃×#107	—	2	1	no	—
25	#11718535	—	2	1	no	—
26	#11718535	—	2	1	no	—
27	#11718510	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	#11718454	—	2	2	no	—
35	D₁₃×#97	—	2	1	no	—
36	#11718362	—	2	1	no	—
37	C₄×C₈×D₁₃	C₂²	1	1	yes	characteristic
38	#11718343	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	2	no	—
50	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
51	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
52	Q₈×Dic₁₃	D₄	1	1	yes	characteristic
53	#88198	—	2	2	no	—
54	C₂×#6107	—	2	2	no	—
55	C₂×#6107	—	2	2	no	—
56	Q₁₆×D₁₃	—	4	8	no	—
57	C₂×Dic₅₂	—	2	2	no	—
58	C₂×C₈×D₁₃	—	2	2	no	—
59	C₂×C₈×D₁₃	—	2	1	no	—
60	C₂×C₈×D₁₃	D₄	1	1	yes	characteristic
61	C₂×C₈×D₁₃	D₄	1	1	yes	characteristic
62	C₄⋊C₄×D₁₃	—	2	1	no	—
63	C₄⋊C₄×D₁₃	—	2	2	no	—
64	C₄⋊C₄×D₁₃	—	2	2	no	—
65	C₄⋊C₄×D₁₃	D₄	1	1	yes	characteristic
66	#88142	—	2	2	no	—
67	#88142	—	2	2	no	—
68	#88141	—	2	1	no	—
69	#88141	D₄	1	1	yes	characteristic
70	C₄²×D₁₃	—	2	1	no	—
71	C₄²×D₁₃	C₂³	1	1	yes	characteristic
72	#88123	C₂³	1	2	yes	—
73	C₄×Dic₂₆	—	2	1	no	—
74	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
75	C₁₃×#107	—	2	1	no	—
76	C₁₃×#107	—	2	1	no	—
77	C₁₃×C₄⋊C₈	—	2	1	no	—
78	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
79	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
80	C₁₃×#103	—	2	2	no	—
81	C₁₃×#97	—	2	1	no	—
82	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
83	#88075	—	2	2	no	—
84	#88058	—	2	1	no	—
85	#88058	—	2	1	no	—
86	#88056	—	2	2	no	—
87	#88055	—	2	1	no	—
88	#88055	—	2	1	no	—
89	#88054	—	2	1	no	—
90	#88054	—	2	2	no	—
91	#88054	—	2	1	no	—
92	#88054	—	2	1	no	—
93	C₈×Dic₁₃	D₄	1	1	yes	characteristic
94	C₈×Dic₁₃	D₄	1	1	yes	characteristic
95	#88050	—	2	2	no	—
96	#88047	—	2	2	no	—
97	#88047	—	2	2	no	—
98	C₄⋊#1055	—	2	1	no	—
99	C₄⋊#1055	C₂³	1	1	yes	characteristic
100	C₄⋊#1055	C₂³	1	2	yes	—
101	#88043	—	2	1	no	—
102	C₄×#1055	C₂³	1	1	yes	characteristic
103	C₂×#1694	—	13	1	no	maximal, Sylow
104	C₂×Q₈×C₁₃	—	2	2	no	—
105	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
106	Q₈×D₁₃	—	2	4	no	—
107	Q₈×D₁₃	—	4	4	no	—
108	Q₈×D₁₃	—	4	4	no	—
109	C₂×C₄×D₁₃	—	2	1	no	—
110	C₂×C₄×D₁₃	—	2	1	no	—
111	C₂×C₄×D₁₃	—	4	2	no	—
112	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
113	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
114	C₂×C₄×D₁₃	#41	1	1	yes	characteristic
115	C₂×Dic₂₆	—	2	1	no	—
116	C₂×Dic₂₆	—	2	2	no	—
117	C₂×Dic₂₆	—	4	2	no	—
118	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
119	C₁₃×Q₁₆	—	4	4	no	—
120	C₂×C₈×C₁₃	—	2	1	no	—
121	C₂×C₈×C₁₃	—	2	2	no	—
122	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
123	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
124	C₁₃×C₄⋊C₄	—	2	1	no	—
125	C₁₃×C₄⋊C₄	—	2	2	no	—
126	C₁₃×C₄⋊C₄	—	2	2	no	—
127	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
128	C₄²×C₁₃	—	2	1	no	—
129	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
130	#6107	—	4	4	no	—
131	#6107	—	4	4	no	—
132	C₄⋊Dic₁₃	—	2	1	no	—
133	C₄⋊Dic₁₃	—	2	2	no	—
134	C₄⋊Dic₁₃	—	2	2	no	—
135	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
136	#6101	—	2	1	no	—
137	#6101	—	2	1	no	—
138	#6101	—	2	1	no	—
139	#6101	—	4	2	no	—
140	#6101	—	4	2	no	—
141	C₄×Dic₁₃	—	2	1	no	—
142	C₄×Dic₁₃	—	2	1	no	—
143	C₄×Dic₁₃	—	2	1	no	—
144	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
145	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
146	C₄×Dic₁₃	#41	1	1	yes	characteristic
147	C₂×#1055	—	2	2	no	—
148	C₂×#1055	—	2	1	no	—
149	C₂×#1055	C₂×D₄	1	1	yes	characteristic
150	C₂×#1055	C₂×D₄	1	1	yes	characteristic
151	Dic₅₂	—	4	4	no	—
152	C₈×D₁₃	—	2	2	no	—
153	C₈×D₁₃	—	4	4	no	—
154	C₈×D₁₃	—	4	2	no	—
155	C₈×D₁₃	Q₁₆	1	4	yes	complemented
156	C₂×#500	—	13	1	no	—
157	C₂×#462	—	13	2	no	—
158	C₂×#446	—	13	1	no	—
159	#1694	—	13	1	no	—
160	#1694	—	13	2	no	—
161	#1694	—	13	1	no	—
162	#1694	—	13	1	no	—
163	#1694	—	13	2	no	—
164	#1694	D₁₃	1	1	yes	characteristic, direct product factor
165	C₂×#334	—	13	1	no	—
166	C₂×#332	—	13	2	no	—
167	C₂²×D₁₃	#121	1	1	yes	characteristic
168	Q₈×C₁₃	—	2	2	no	—
169	Q₈×C₁₃	—	4	2	no	—
170	Q₈×C₁₃	—	4	2	no	—
171	C₂×C₄×C₁₃	—	2	1	no	—
172	C₂×C₄×C₁₃	—	2	1	no	—
173	C₂×C₄×C₁₃	—	4	2	no	—
174	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
175	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
176	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
177	C₂×Dic₁₃	—	2	1	no	—
178	C₂×Dic₁₃	—	2	1	no	—
179	C₂×Dic₁₃	—	4	2	no	—
180	C₂×Dic₁₃	#121	1	1	yes	characteristic
181	C₂×Dic₁₃	#121	1	1	yes	characteristic
182	C₂×Dic₁₃	#121	1	1	yes	characteristic
183	C₄×D₁₃	—	2	2	no	—
184	C₄×D₁₃	—	4	2	no	—
185	C₄×D₁₃	—	4	2	no	—
186	C₄×D₁₃	—	8	4	no	—
187	C₄×D₁₃	C₂×Q₁₆	1	2	yes	—
188	C₄×D₁₃	AGL(1,ℤ/8)	1	4	yes	—
189	C₄×D₁₃	#137	1	2	yes	—
190	Dic₂₆	—	2	2	no	—
191	Dic₂₆	—	4	2	no	—
192	Dic₂₆	—	4	2	no	—
193	Dic₂₆	—	4	2	no	—
194	Dic₂₆	—	8	4	no	—
195	C₈×C₁₃	—	2	1	no	—
196	C₈×C₁₃	—	4	2	no	—
197	C₈×C₁₃	—	4	1	no	—
198	C₈×C₁₃	C₂×Q₁₆	1	2	yes	complemented
199	#1055	—	2	1	no	—
200	#1055	—	4	2	no	—
201	#1055	—	4	1	no	—
202	#1055	C₂×Q₁₆	1	2	yes	complemented
203	C₂²×Q₁₆	—	26	2	no	—
204	C₂×C₄⋊Q₈	—	13	2	no	—
205	C₂×C₄×Q₈	—	13	1	no	—
206	#500	—	13	2	no	—
207	#500	—	13	1	no	—
208	#500	—	26	1	no	—
209	#500	—	26	1	no	—
210	#500	C₂×D₁₃	1	1	yes	characteristic
211	#462	—	13	2	no	—
212	#462	—	13	2	no	—
213	#462	—	13	2	no	—
214	#462	—	26	2	no	—
215	#462	—	26	2	no	—
216	#462	C₂×D₁₃	1	2	yes	—
217	#446	—	13	1	no	—
218	#446	—	13	1	no	—
219	#446	—	13	1	no	—
220	#446	—	26	1	no	—
221	#446	—	26	1	no	—
222	#446	C₂×D₁₃	1	1	yes	characteristic
223	C₂×#107	—	26	1	no	—
224	C₂×#107	—	26	1	no	—
225	C₂×C₄⋊C₈	—	13	1	no	—
226	C₂×C₄⋊C₈	—	13	2	no	—
227	C₂×C₄⋊C₈	—	26	1	no	—
228	C₂×#103	—	26	2	no	—
229	C₂×#97	—	26	1	no	—
230	C₂×C₄×C₈	—	13	1	no	—
231	#334	—	13	2	no	—
232	#334	—	13	1	no	—
233	#334	C₂×D₁₃	1	1	yes	characteristic
234	#332	—	13	2	no	—
235	#332	—	13	2	no	—
236	#332	—	13	2	no	—
237	#332	C₂×D₁₃	1	2	yes	—
238	C₂²×C₁₃	C₂×#121	1	1	yes	characteristic
239	C₂×D₁₃	#462	1	2	yes	—
240	C₂×D₁₃	#469	1	2	yes	—
241	C₂×D₁₃	#473	1	2	yes	—
242	C₄×C₁₃	—	2	1	no	—
243	C₄×C₁₃	—	4	1	no	—
244	C₄×C₁₃	—	4	1	no	—
245	C₄×C₁₃	—	8	2	no	—
246	C₄×C₁₃	C₂²×Q₁₆	1	1	yes	characteristic
247	C₄×C₁₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
248	C₄×C₁₃	C₂×#137	1	1	yes	characteristic
249	Dic₁₃	—	2	1	no	—
250	Dic₁₃	—	4	1	no	—
251	Dic₁₃	—	4	1	no	—
252	Dic₁₃	—	8	2	no	—
253	Dic₁₃	#462	1	2	yes	—
254	Dic₁₃	#469	1	2	yes	—
255	C₂²×Q₈	—	13	1	no	—
256	C₂²×Q₈	—	26	2	no	—
257	C₂×Q₁₆	—	2	2	no	—
258	C₂×Q₁₆	—	26	2	no	—
259	C₂×Q₁₆	—	26	2	no	—
260	C₂×Q₁₆	—	26	2	no	—
261	C₂×Q₁₆	—	52	8	no	—
262	C₂²×C₈	—	13	1	no	—
263	C₂²×C₈	—	13	1	no	—
264	C₂²×C₈	—	26	2	no	—
265	C₂²×C₈	—	26	1	no	—
266	C₄⋊Q₈	—	13	2	no	—
267	C₄⋊Q₈	—	26	2	no	—
268	C₄⋊Q₈	—	26	2	no	—
269	C₄⋊Q₈	—	26	2	no	—
270	C₄⋊Q₈	C₂²×D₁₃	1	2	yes	—
271	C₄×Q₈	—	13	1	no	—
272	C₄×Q₈	—	13	1	no	—
273	C₄×Q₈	—	13	1	no	—
274	C₄×Q₈	—	26	1	no	—
275	C₄×Q₈	—	26	1	no	—
276	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
277	C₂×C₄⋊C₄	—	13	1	no	—
278	C₂×C₄⋊C₄	—	26	1	no	—
279	C₂×C₄⋊C₄	—	26	2	no	—
280	C₂×C₄⋊C₄	—	26	2	no	—
281	C₂×C₄²	—	13	1	no	—
282	C₂×C₄²	—	26	1	no	—
283	#107	—	2	1	no	—
284	#107	—	2	1	no	—
285	#107	—	26	2	no	—
286	#107	—	26	2	no	—
287	#107	—	26	1	no	—
288	#107	—	26	1	no	—
289	C₄⋊C₈	—	2	1	no	—
290	C₄⋊C₈	—	13	1	no	—
291	C₄⋊C₈	—	13	2	no	—
292	C₄⋊C₈	—	26	1	no	—
293	C₄⋊C₈	—	26	1	no	—
294	C₄⋊C₈	—	26	2	no	—
295	C₄⋊C₈	—	26	1	no	—
296	C₄⋊C₈	—	26	1	no	—
297	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
298	C₄⋊C₈	C₂²×D₁₃	1	2	yes	—
299	#103	—	2	2	no	—
300	#103	—	26	2	no	—
301	#103	—	26	2	no	—
302	#103	—	26	2	no	—
303	#97	—	2	1	no	—
304	#97	—	26	1	no	—
305	#97	—	26	1	no	—
306	#97	—	26	1	no	—
307	C₄×C₈	—	13	1	no	—
308	C₄×C₈	—	13	1	no	—
309	C₄×C₈	—	13	1	no	—
310	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
311	C₂×C₁₃	C₂×#462	1	1	yes	characteristic
312	C₂×C₁₃	C₂×#469	1	1	yes	characteristic
313	C₂×C₁₃	C₂×#473	1	1	yes	characteristic
314	D₁₃	#1694	1	4	yes	direct product factor
315	C₂×Q₈	—	2	2	no	—
316	C₂×Q₈	—	13	1	no	—
317	C₂×Q₈	—	26	1	no	—
318	C₂×Q₈	—	26	4	no	—
319	C₂×Q₈	—	26	2	no	—
320	C₂×Q₈	—	52	2	no	—
321	C₂×Q₈	—	52	4	no	—
322	C₂×Q₈	—	52	4	no	—
323	C₂×Q₈	D₄×D₁₃	1	1	yes	characteristic
324	C₂²×C₄	—	13	1	no	—
325	C₂²×C₄	—	13	1	no	—
326	C₂²×C₄	—	13	1	no	—
327	C₂²×C₄	—	26	1	no	—
328	C₂²×C₄	—	26	1	no	—
329	C₂²×C₄	—	52	2	no	—
330	Q₁₆	—	4	4	no	—
331	Q₁₆	—	52	4	no	—
332	Q₁₆	—	52	4	no	—
333	Q₁₆	—	52	4	no	—
334	C₂×C₈	—	2	1	no	—
335	C₂×C₈	—	2	2	no	—
336	C₂×C₈	—	13	1	no	—
337	C₂×C₈	—	13	4	no	—
338	C₂×C₈	—	13	1	no	—
339	C₂×C₈	—	26	2	no	—
340	C₂×C₈	—	26	1	no	—
341	C₂×C₈	—	26	2	no	—
342	C₂×C₈	—	52	4	no	—
343	C₂×C₈	—	52	2	no	—
344	C₂×C₈	D₄×D₁₃	1	1	yes	characteristic
345	C₂×C₈	D₄×D₁₃	1	1	yes	characteristic
346	C₄⋊C₄	—	2	1	no	—
347	C₄⋊C₄	—	2	2	no	—
348	C₄⋊C₄	—	2	2	no	—
349	C₄⋊C₄	—	13	1	no	—
350	C₄⋊C₄	—	26	1	no	—
351	C₄⋊C₄	—	26	1	no	—
352	C₄⋊C₄	—	26	1	no	—
353	C₄⋊C₄	—	26	1	no	—
354	C₄⋊C₄	—	26	2	no	—
355	C₄⋊C₄	—	26	2	no	—
356	C₄⋊C₄	—	52	2	no	—
357	C₄⋊C₄	—	52	2	no	—
358	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
359	C₄²	—	2	1	no	—
360	C₄²	—	13	1	no	—
361	C₄²	—	13	1	no	—
362	C₄²	—	13	1	no	—
363	C₄²	—	26	1	no	—
364	C₄²	—	26	1	no	—
365	C₄²	—	26	1	no	—
366	C₄²	C₂³×D₁₃	1	1	yes	characteristic
367	C₁₃	C₂×#1694	1	1	yes	characteristic, complemented, Sylow
368	C₂³	—	13	1	no	—
369	Q₈	—	2	2	no	—
370	Q₈	—	4	2	no	—
371	Q₈	—	4	2	no	—
372	Q₈	—	26	2	no	—
373	Q₈	—	52	2	no	—
374	Q₈	—	52	2	no	—
375	Q₈	—	52	2	no	—
376	Q₈	—	104	4	no	—
377	C₂×C₄	—	2	1	no	—
378	C₂×C₄	—	2	1	no	—
379	C₂×C₄	—	4	2	no	—
380	C₂×C₄	—	13	1	no	—
381	C₂×C₄	—	13	1	no	—
382	C₂×C₄	—	13	2	no	—
383	C₂×C₄	—	13	4	no	—
384	C₂×C₄	—	13	2	no	—
385	C₂×C₄	—	13	1	no	—
386	C₂×C₄	—	26	2	no	—
387	C₂×C₄	—	26	1	no	—
388	C₂×C₄	—	26	1	no	—
389	C₂×C₄	—	52	2	no	—
390	C₂×C₄	—	52	2	no	—
391	C₂×C₄	—	52	2	no	—
392	C₂×C₄	—	104	4	no	—
393	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
394	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
395	C₂×C₄	#41×D₁₃	1	1	yes	characteristic
396	C₈	—	2	1	no	—
397	C₈	—	4	2	no	—
398	C₈	—	4	1	no	—
399	C₈	—	13	2	no	—
400	C₈	—	26	1	no	—
401	C₈	—	52	2	no	—
402	C₈	—	52	1	no	—
403	C₈	Q₁₆×D₁₃	1	2	yes	complemented
404	C₂²	—	13	2	no	—
405	C₂²	—	13	2	no	—
406	C₂²	—	13	2	no	—
407	C₂²	D₁₃×#121	1	1	yes	characteristic
408	C₄	—	2	1	no	—
409	C₄	—	4	1	no	—
410	C₄	—	4	1	no	—
411	C₄	—	8	2	no	—
412	C₄	—	13	2	no	—
413	C₄	—	13	2	no	—
414	C₄	—	26	1	no	—
415	C₄	—	52	1	no	—
416	C₄	—	52	1	no	—
417	C₄	—	104	2	no	—
418	C₄	C₂×Q₁₆×D₁₃	1	1	yes	characteristic
419	C₄	D₁₃×AGL(1,ℤ/8)	1	2	yes	—
420	C₄	D₁₃×#137	1	1	yes	characteristic
421	C₂	—	13	4	no	—
422	C₂	D₁₃×#462	1	1	yes	characteristic
423	C₂	D₁₃×#469	1	1	yes	characteristic
424	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×#1694	C₂
socle	C₂²×C₁₃	C₂×#121
prime radical	C₂²×D₁₃	#121
hypercenter	#1694	D₁₃
hypocenter	C₁₃	C₂×#1694
LCS	G ▷ C₄²×C₁₃ ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄² ◁ #1694

Complements

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

N	H ≅ G/N	type
4. #13114355	C₂	semidirect
5. #13114354	C₂	semidirect
6. #13114353	C₂	semidirect
7. #13114352	C₂	semidirect
8. #13114351	C₂	semidirect
11. C₁₃×#1694	C₂	semidirect
155. C₈×D₁₃	Q₁₆	semidirect
164. #1694	D₁₃	direct (N × H)
198. C₈×C₁₃	C₂×Q₁₆	semidirect
202. #1055	C₂×Q₁₆	semidirect
314. D₁₃	#1694	direct (N × H)
367. C₁₃	C₂×#1694	semidirect
403. 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×#500	2
D₁₃×#462	2
D₁₃×#446	2
#13114355	2
#13114354	2
#13114353	2
#13114352	2
#13114351	2
D₁₃×#334	2
D₁₃×#332	2
C₁₃×#1694	2
C₂×#1694	13

Subgroups — D13×#1694 #15845543

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₃×#1694 #15845543