Subgroups — D₁₃⋊#1566 #16794927

Order 3328.

854 conjugacy classes of subgroups.

The subgroup lattice has 380 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₁₃⋊#423	C₂	1	2	yes	maximal
2	#13130392	C₂	1	2	yes	maximal, complemented
3	#13130391	C₂	1	2	yes	maximal, complemented
4	#13130390	C₂	1	4	yes	maximal, complemented
5	D₁₃⋊#334	C₂	1	4	yes	maximal, complemented
6	C₂×C₄×C₈×D₁₃	C₂	1	1	yes	maximal, characteristic
7	C₂×D₁₃⋊M₁₆	—	2	2	no	—
8	C₂²×C₈×D₁₃	C₄	1	2	yes	—
9	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
10	#11719129	—	2	2	no	—
11	#11719129	C₂²	1	4	yes	—
12	#11719053	—	2	2	no	—
13	#11719052	C₂²	1	4	yes	—
14	D₁₃⋊(C₄⋊C₈)	—	2	2	no	—
15	D₁₃⋊(C₄⋊C₈)	C₂²	1	4	yes	—
16	C₂×C₄×C₈×C₁₃	C₄	1	1	yes	characteristic
17	C₂×C₈×Dic₁₃	C₂²	1	2	yes	—
18	C₂×C₄×#1055	C₄	1	1	yes	characteristic
19	C₄×C₈×D₁₃	C₄	1	1	yes	characteristic
20	C₄×C₈×D₁₃	C₄	1	2	yes	—
21	C₄×C₈×D₁₃	C₄	1	1	yes	characteristic
22	C₄×C₈×D₁₃	C₂²	1	2	yes	—
23	C₄×C₈×D₁₃	C₂²	1	1	yes	characteristic
24	C₄×C₈×D₁₃	C₂²	1	1	yes	characteristic
25	#11718255	C₂²	1	8	yes	complemented
26	#11718253	C₂²	1	8	yes	complemented
27	C₂²×C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
28	C₂²×C₄×D₁₃	D₄	1	1	yes	characteristic
29	C₂²×C₄×D₁₃	Q₈	1	1	yes	characteristic
30	C₂×#6122	—	2	4	no	—
31	D₁₃⋊M₁₆	—	4	8	no	—
32	C₂×#6118	—	2	4	no	—
33	C₂×D₁₃⋊C₈	—	2	4	no	—
34	C₂²×C₈×C₁₃	C₂×C₄	1	2	yes	—
35	C₂×C₄²×C₁₃	C₂×C₄	1	1	yes	characteristic
36	C₂×C₄×Dic₁₃	D₄	1	1	yes	characteristic
37	C₂×C₄×Dic₁₃	Q₈	1	1	yes	characteristic
38	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
39	C₂²×#1055	C₂×C₄	1	2	yes	—
40	C₂×C₈×D₁₃	—	2	8	no	—
41	C₂×C₈×D₁₃	C₂×C₄	1	2	yes	—
42	C₂×C₈×D₁₃	C₂×C₄	1	2	yes	—
43	C₂×C₈×D₁₃	C₂×C₄	1	2	yes	—
44	C₂×C₈×D₁₃	C₂×C₄	1	2	yes	—
45	C₄²×D₁₃	C₂×C₄	1	1	yes	characteristic
46	C₄²×D₁₃	C₂×C₄	1	1	yes	characteristic
47	C₄²×D₁₃	D₄	1	1	yes	characteristic
48	C₄²×D₁₃	D₄	1	1	yes	characteristic
49	C₄²×D₁₃	Q₈	1	1	yes	characteristic
50	C₄²×D₁₃	Q₈	1	1	yes	characteristic
51	C₄²×D₁₃	C₂³	1	1	yes	characteristic
52	C₄²×D₁₃	C₂³	1	1	yes	characteristic
53	#88112	—	2	4	no	—
54	#88112	—	2	4	no	—
55	C₄⋊#1057	—	2	4	no	—
56	C₄⋊#1057	C₂³	1	8	yes	—
57	C₄×C₈×C₁₃	C₂×C₄	1	1	yes	characteristic
58	C₄×C₈×C₁₃	C₂×C₄	1	2	yes	—
59	C₄×C₈×C₁₃	C₂×C₄	1	1	yes	characteristic
60	C₈×Dic₁₃	C₂×C₄	1	2	yes	—
61	C₈×Dic₁₃	C₂×C₄	1	2	yes	—
62	C₈×Dic₁₃	C₂³	1	2	yes	—
63	C₈×Dic₁₃	C₂³	1	2	yes	—
64	C₄×#1055	C₂×C₄	1	1	yes	characteristic
65	C₄×#1055	C₂×C₄	1	2	yes	—
66	C₄×#1055	C₂×C₄	1	1	yes	characteristic
67	C₂×#1566	—	13	1	no	maximal, Sylow
68	C₂³×D₁₃	C₄⋊C₄	1	1	yes	characteristic
69	C₂²×C₄×C₁₃	C₄⋊C₄	1	1	yes	characteristic
70	C₂²×C₄×C₁₃	C₄⋊C₄	1	1	yes	characteristic
71	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
72	C₂²×Dic₁₃	C₄⋊C₄	1	1	yes	characteristic
73	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
74	C₂²×Dic₁₃	C₂×Q₈	1	1	yes	characteristic
75	C₂×C₄×D₁₃	—	2	4	no	—
76	C₂×C₄×D₁₃	—	2	4	no	—
77	C₂×C₄×D₁₃	C₄⋊C₄	1	1	yes	characteristic
78	C₂×C₄×D₁₃	C₄⋊C₄	1	1	yes	characteristic
79	C₂×C₄×D₁₃	C₄⋊C₄	1	1	yes	characteristic
80	C₂×C₄×D₁₃	C₄⋊C₄	1	1	yes	characteristic
81	C₂×C₄×D₁₃	C₄⋊C₄	1	1	yes	characteristic
82	C₂×C₄×D₁₃	C₄⋊C₄	1	1	yes	characteristic
83	C₂×C₄×D₁₃	SD₁₆	1	8	yes	—
84	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
85	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
86	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
87	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
88	C₂×C₄×D₁₃	C₂×Q₈	1	1	yes	characteristic
89	C₂×C₄×D₁₃	C₂×Q₈	1	1	yes	characteristic
90	#6122	—	4	8	no	—
91	C₂×#1057	—	2	8	no	—
92	#6118	—	4	8	no	—
93	D₁₃⋊C₈	—	4	8	no	—
94	C₂×C₈×C₁₃	—	2	4	no	—
95	C₂×C₈×C₁₃	C₂²×C₄	1	2	yes	—
96	C₂×C₈×C₁₃	C₂²×C₄	1	2	yes	—
97	C₄²×C₁₃	C₄⋊C₄	1	1	yes	characteristic
98	C₄²×C₁₃	C₄⋊C₄	1	1	yes	characteristic
99	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
100	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
101	C₄×Dic₁₃	C₄⋊C₄	1	1	yes	characteristic
102	C₄×Dic₁₃	C₄⋊C₄	1	1	yes	characteristic
103	C₄×Dic₁₃	C₄⋊C₄	1	1	yes	characteristic
104	C₄×Dic₁₃	C₄⋊C₄	1	1	yes	characteristic
105	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
106	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
107	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
108	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
109	C₄×Dic₁₃	C₂×Q₈	1	1	yes	characteristic
110	C₄×Dic₁₃	C₂×Q₈	1	1	yes	characteristic
111	C₄×Dic₁₃	C₂×Q₈	1	1	yes	characteristic
112	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
113	C₂×#1055	—	2	4	no	—
114	C₂×#1055	C₂²×C₄	1	2	yes	—
115	C₂×#1055	C₂²×C₄	1	2	yes	—
116	C₈×D₁₃	—	2	4	no	—
117	C₈×D₁₃	—	2	4	no	—
118	C₈×D₁₃	—	2	4	no	—
119	C₈×D₁₃	M₁₆	1	8	yes	complemented
120	C₂×#423	—	13	2	no	—
121	C₂²×C₄×C₈	—	13	1	no	—
122	#1566	—	13	4	no	—
123	#1566	—	13	2	no	—
124	#1566	—	13	2	no	—
125	C₂×#334	—	13	4	no	—
126	C₂³×C₁₃	C₂×C₄⋊C₄	1	1	yes	characteristic
127	C₂²×D₁₃	—	2	2	no	—
128	C₂²×D₁₃	—	2	2	no	—
129	C₂²×D₁₃	#106	1	4	yes	—
130	C₂²×D₁₃	C₂×C₄⋊C₄	1	1	yes	characteristic
131	C₂²×D₁₃	C₂×C₄⋊C₄	1	1	yes	characteristic
132	C₂×C₄×C₁₃	—	2	2	no	—
133	C₂×C₄×C₁₃	—	2	2	no	—
134	C₂×C₄×C₁₃	#106	1	4	yes	—
135	C₂×C₄×C₁₃	C₂×C₄⋊C₄	1	1	yes	characteristic
136	C₂×C₄×C₁₃	C₂×C₄⋊C₄	1	1	yes	characteristic
137	C₂×C₄×C₁₃	C₂×C₄⋊C₄	1	1	yes	characteristic
138	C₂×C₄×C₁₃	C₂×C₄⋊C₄	1	1	yes	characteristic
139	C₂×C₄×C₁₃	C₂×C₄⋊C₄	1	1	yes	characteristic
140	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
141	C₂×Dic₁₃	—	2	2	no	—
142	C₂×Dic₁₃	—	2	2	no	—
143	C₂×Dic₁₃	C₂×C₄⋊C₄	1	1	yes	characteristic
144	C₂×Dic₁₃	C₂×C₄⋊C₄	1	1	yes	characteristic
145	C₂×Dic₁₃	C₂×C₄⋊C₄	1	1	yes	characteristic
146	C₂×Dic₁₃	C₂×C₄⋊C₄	1	1	yes	characteristic
147	C₂×Dic₁₃	C₂×SD₁₆	1	4	yes	—
148	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
149	C₂×Dic₁₃	C₂²×Q₈	1	1	yes	characteristic
150	C₄×D₁₃	—	2	2	no	—
151	C₄×D₁₃	—	2	2	no	—
152	C₄×D₁₃	—	2	2	no	—
153	C₄×D₁₃	—	2	2	no	—
154	C₄×D₁₃	—	2	2	no	—
155	C₄×D₁₃	—	2	2	no	—
156	C₄×D₁₃	#106	1	4	yes	—
157	C₄×D₁₃	#106	1	4	yes	—
158	C₄×D₁₃	#108	1	4	yes	—
159	C₄×D₁₃	C₂×M₁₆	1	4	yes	—
160	C₄×D₁₃	C₂×SD₁₆	1	4	yes	—
161	C₄×D₁₃	C₂×SD₁₆	1	4	yes	—
162	#1057	—	4	8	no	—
163	C₈×C₁₃	—	2	2	no	—
164	C₈×C₁₃	C₂×M₁₆	1	4	yes	complemented
165	#1055	—	2	2	no	—
166	#1055	C₂×M₁₆	1	4	yes	complemented
167	C₂²×M₁₆	—	26	2	no	—
168	C₂³×C₈	—	13	2	no	—
169	C₂²×C₄²	—	13	1	no	—
170	#423	—	13	4	no	—
171	#423	—	13	4	no	—
172	#423	—	26	2	no	—
173	#423	—	26	2	no	—
174	C₂×C₄⋊C₈	—	13	4	no	—
175	C₂×C₄⋊C₈	—	26	2	no	—
176	C₂×C₄×C₈	—	13	2	no	—
177	C₂×C₄×C₈	—	13	1	no	—
178	C₂×C₄×C₈	—	13	2	no	—
179	C₂×C₄×C₈	—	13	1	no	—
180	C₂×C₄×C₈	—	13	1	no	—
181	C₂×C₄×C₈	—	13	1	no	—
182	C₂×C₄×C₈	—	13	2	no	—
183	C₂×C₄×C₈	—	13	1	no	—
184	C₂×C₄×C₈	#261	1	1	yes	characteristic
185	#334	—	13	8	no	—
186	#334	—	13	8	no	—
187	C₂²×C₁₃	—	2	1	no	—
188	C₂²×C₁₃	—	2	1	no	—
189	C₂²×C₁₃	C₂×#106	1	2	yes	—
190	C₂²×C₁₃	C₂²×C₄⋊C₄	1	1	yes	characteristic
191	C₂×D₁₃	—	2	1	no	—
192	C₂×D₁₃	—	2	1	no	—
193	C₂×D₁₃	—	2	8	no	—
194	C₂×D₁₃	#423	1	2	yes	—
195	C₂×D₁₃	C₂×#106	1	2	yes	—
196	C₂×D₁₃	C₂×#106	1	2	yes	—
197	C₂×D₁₃	C₂×#108	1	2	yes	—
198	C₄×C₁₃	—	2	1	no	—
199	C₄×C₁₃	—	2	1	no	—
200	C₄×C₁₃	C₂×#106	1	2	yes	—
201	C₄×C₁₃	C₂×#106	1	2	yes	—
202	C₄×C₁₃	C₂×#108	1	2	yes	—
203	C₄×C₁₃	C₂²×M₁₆	1	2	yes	—
204	Dic₁₃	—	2	1	no	—
205	Dic₁₃	—	2	1	no	—
206	Dic₁₃	#423	1	2	yes	—
207	Dic₁₃	C₂×#106	1	2	yes	—
208	Dic₁₃	C₂×#108	1	2	yes	—
209	Dic₁₃	C₂²×SD₁₆	1	2	yes	—
210	C₂³×C₄	—	13	1	no	—
211	C₂³×C₄	—	13	1	no	—
212	C₂³×C₄	—	13	1	no	—
213	C₂×M₁₆	—	26	4	no	—
214	C₂×M₁₆	—	26	4	no	—
215	C₂×M₁₆	—	52	8	no	—
216	C₂²×C₈	—	13	2	no	—
217	C₂²×C₈	—	13	2	no	—
218	C₂²×C₈	—	13	2	no	—
219	C₂²×C₈	—	13	2	no	—
220	C₂²×C₈	—	13	2	no	—
221	C₂²×C₈	—	26	8	no	—
222	C₂²×C₈	—	26	4	no	—
223	C₂²×C₈	C₂×#261	1	2	yes	—
224	C₂×C₄²	—	13	1	no	—
225	C₂×C₄²	—	13	1	no	—
226	C₂×C₄²	—	13	1	no	—
227	C₂×C₄²	—	13	1	no	—
228	C₂×C₄²	—	13	1	no	—
229	C₂×C₄²	—	13	1	no	—
230	C₂×C₄²	—	13	1	no	—
231	C₂×C₄²	—	13	1	no	—
232	C₂×C₄²	—	13	1	no	—
233	C₂×C₄²	—	13	1	no	—
234	C₂×C₄²	—	13	1	no	—
235	C₂×C₄²	C₂×#261	1	1	yes	characteristic
236	C₄⋊C₈	—	13	8	no	—
237	C₄⋊C₈	—	26	4	no	—
238	C₄⋊C₈	—	26	4	no	—
239	C₄⋊C₈	—	26	4	no	—
240	C₄×C₈	—	13	2	no	—
241	C₄×C₈	—	13	2	no	—
242	C₄×C₈	—	13	2	no	—
243	C₄×C₈	—	13	2	no	—
244	C₄×C₈	—	13	1	no	—
245	C₄×C₈	—	13	1	no	—
246	C₄×C₈	—	13	2	no	—
247	C₄×C₈	C₂×#261	1	1	yes	characteristic
248	C₄×C₈	C₂×#261	1	1	yes	characteristic
249	C₄×C₈	C₂×#261	1	2	yes	—
250	C₂×C₁₃	—	2	2	no	—
251	C₂×C₁₃	C₂×#423	1	1	yes	characteristic
252	C₂×C₁₃	C₂²×#106	1	1	yes	characteristic
253	C₂×C₁₃	C₂²×#108	1	1	yes	characteristic
254	D₁₃	—	2	2	no	—
255	D₁₃	#1566	1	4	yes	complemented
256	C₂⁴	—	13	1	no	—
257	C₂²×C₄	—	13	1	no	—
258	C₂²×C₄	—	13	8	no	—
259	C₂²×C₄	—	13	1	no	—
260	C₂²×C₄	—	13	1	no	—
261	C₂²×C₄	—	13	1	no	—
262	C₂²×C₄	—	13	1	no	—
263	C₂²×C₄	—	13	1	no	—
264	C₂²×C₄	—	13	1	no	—
265	C₂²×C₄	—	13	1	no	—
266	C₂²×C₄	—	13	1	no	—
267	C₂²×C₄	—	13	1	no	—
268	C₂²×C₄	—	13	1	no	—
269	C₂²×C₄	—	13	1	no	—
270	C₂²×C₄	—	13	1	no	—
271	C₂²×C₄	—	13	1	no	—
272	C₂²×C₄	—	13	1	no	—
273	C₂²×C₄	—	26	4	no	—
274	C₂²×C₄	—	26	4	no	—
275	C₂²×C₄	C₄⋊#261	1	1	yes	characteristic
276	C₂²×C₄	C₄⋊#261	1	1	yes	characteristic
277	C₂²×C₄	C₂²×#261	1	1	yes	characteristic
278	M₁₆	—	52	8	no	—
279	M₁₆	—	52	8	no	—
280	C₂×C₈	—	2	4	no	—
281	C₂×C₈	—	13	2	no	—
282	C₂×C₈	—	13	8	no	—
283	C₂×C₈	—	13	2	no	—
284	C₂×C₈	—	26	4	no	—
285	C₂×C₈	—	26	4	no	—
286	C₂×C₈	—	26	4	no	—
287	C₂×C₈	—	26	4	no	—
288	C₂×C₈	—	26	8	no	—
289	C₂×C₈	—	52	8	no	—
290	C₂×C₈	C₂²×#261	1	2	yes	—
291	C₂×C₈	C₂²×#261	1	2	yes	—
292	C₄²	—	13	1	no	—
293	C₄²	—	13	1	no	—
294	C₄²	—	13	1	no	—
295	C₄²	—	13	1	no	—
296	C₄²	—	13	1	no	—
297	C₄²	—	13	1	no	—
298	C₄²	—	13	1	no	—
299	C₄²	—	13	1	no	—
300	C₄²	—	13	1	no	—
301	C₄²	—	13	1	no	—
302	C₄²	—	13	1	no	—
303	C₄²	—	13	1	no	—
304	C₄²	C₄⋊#261	1	1	yes	characteristic
305	C₄²	C₄⋊#261	1	1	yes	characteristic
306	C₄²	C₂²×#261	1	1	yes	characteristic
307	C₄²	C₂²×#261	1	1	yes	characteristic
308	C₁₃	C₂×#1566	1	1	yes	characteristic, complemented, Sylow
309	C₂³	—	13	1	no	—
310	C₂³	—	13	4	no	—
311	C₂³	—	13	1	no	—
312	C₂³	—	26	2	no	—
313	C₂³	—	26	2	no	—
314	C₂³	C₂×C₄⋊#261	1	1	yes	characteristic
315	C₂×C₄	—	2	2	no	—
316	C₂×C₄	—	2	2	no	—
317	C₂×C₄	—	13	4	no	—
318	C₂×C₄	—	13	1	no	—
319	C₂×C₄	—	13	1	no	—
320	C₂×C₄	—	13	1	no	—
321	C₂×C₄	—	13	1	no	—
322	C₂×C₄	—	13	4	no	—
323	C₂×C₄	—	13	4	no	—
324	C₂×C₄	—	13	4	no	—
325	C₂×C₄	—	13	4	no	—
326	C₂×C₄	—	13	4	no	—
327	C₂×C₄	—	13	4	no	—
328	C₂×C₄	—	13	1	no	—
329	C₂×C₄	—	13	1	no	—
330	C₂×C₄	—	26	2	no	—
331	C₂×C₄	—	26	2	no	—
332	C₂×C₄	—	26	2	no	—
333	C₂×C₄	—	26	2	no	—
334	C₂×C₄	—	26	2	no	—
335	C₂×C₄	—	26	2	no	—
336	C₂×C₄	—	26	2	no	—
337	C₂×C₄	—	26	2	no	—
338	C₂×C₄	#88101	1	4	yes	—
339	C₂×C₄	C₂×C₄⋊#261	1	1	yes	characteristic
340	C₂×C₄	C₂×C₄⋊#261	1	1	yes	characteristic
341	C₂×C₄	C₂×C₄⋊#261	1	1	yes	characteristic
342	C₂×C₄	C₂×C₄⋊#261	1	1	yes	characteristic
343	C₂×C₄	C₂×C₄⋊#261	1	1	yes	characteristic
344	C₂×C₄	C₂³×#261	1	1	yes	characteristic
345	C₈	—	2	2	no	—
346	C₈	—	13	4	no	—
347	C₈	—	26	2	no	—
348	C₈	—	52	8	no	—
349	C₈	D₁₃⋊M₁₆	1	4	yes	complemented
350	C₂²	—	2	1	no	—
351	C₂²	—	2	1	no	—
352	C₂²	—	13	2	no	—
353	C₂²	—	13	2	no	—
354	C₂²	—	13	2	no	—
355	C₂²	—	13	2	no	—
356	C₂²	—	26	8	no	—
357	C₂²	—	26	1	no	—
358	C₂²	—	26	1	no	—
359	C₂²	C₂×#88101	1	2	yes	—
360	C₂²	C₂²×C₄⋊#261	1	1	yes	characteristic
361	C₄	—	2	1	no	—
362	C₄	—	2	1	no	—
363	C₄	—	13	2	no	—
364	C₄	—	13	2	no	—
365	C₄	—	13	2	no	—
366	C₄	—	13	2	no	—
367	C₄	—	26	1	no	—
368	C₄	—	26	1	no	—
369	C₄	C₂×#88101	1	2	yes	—
370	C₄	C₂×#88101	1	2	yes	—
371	C₄	D₁₃⋊#108	1	2	yes	—
372	C₄	C₂×D₁₃⋊M₁₆	1	2	yes	—
373	C₂	—	2	2	no	—
374	C₂	—	13	4	no	—
375	C₂	—	26	2	no	—
376	C₂	D₁₃⋊#423	1	1	yes	characteristic
377	C₂	C₂²×#88101	1	1	yes	characteristic
378	C₂	C₂×D₁₃⋊#108	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×C₄⋊#261
commutator	C₂×C₄×C₁₃	C₂³×C₄
Frattini	C₂×C₄	C₂³×#261
Fitting	C₂×C₄×C₈×C₁₃	C₄
socle	C₂²×C₁₃	C₂²×C₄⋊C₄
prime radical	C₂³×D₁₃	C₄⋊C₄
cosocle	C₄×Dic₁₃	C₂⁴
hypercenter	C₂×C₄×C₈	#261
hypocenter	C₁₃	C₂×#1566
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ C₂×C₄×C₈

Complements

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

N	H ≅ G/N	type
2. #13130392	C₂	semidirect
3. #13130391	C₂	semidirect
4. #13130390	C₂	semidirect
5. D₁₃⋊#334	C₂	semidirect
25. #11718255	C₂²	semidirect
26. #11718253	C₂²	semidirect
119. C₈×D₁₃	M₁₆	semidirect
164. C₈×C₁₃	C₂×M₁₆	semidirect
166. #1055	C₂×M₁₆	semidirect
255. D₁₃	#1566	semidirect
308. C₁₃	C₂×#1566	semidirect
349. C₈	D₁₃⋊M₁₆	semidirect

Maximal subgroups

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

subgroup	index
D₁₃⋊#423	2
#13130392	2
#13130391	2
#13130390	2
D₁₃⋊#334	2
C₂×C₄×C₈×D₁₃	2
C₂×#1566	13

Subgroups — D13⋊#1566 #16794927

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₃⋊#1566 #16794927