Subgroups — #15832743

Order 3328.

710 conjugacy classes of subgroups.

The subgroup lattice has 428 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13123874	C₂	1	2	yes	maximal, complemented
2	C₄×D₈×D₁₃	C₂	1	1	yes	maximal, characteristic
3	#13113748	C₂	1	2	yes	maximal, complemented
4	#13113747	C₂	1	2	yes	maximal, complemented
5	#13113722	C₂	1	1	yes	maximal, characteristic, complemented
6	#13113721	C₂	1	1	yes	maximal, characteristic, complemented
7	#13113720	C₂	1	1	yes	maximal, characteristic, complemented
8	#13113583	C₂	1	1	yes	maximal, characteristic, complemented
9	#13113225	C₂	1	2	yes	maximal, complemented
10	#13113118	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#1589	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×D₈×D₁₃	C₄	1	1	yes	characteristic
13	C₄×D₄×D₁₃	C₂²	1	2	yes	—
14	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
15	C₁₃×#436	C₂²	1	2	yes	complemented
16	D₈×Dic₁₃	C₄	1	1	yes	characteristic
17	#11718789	—	2	2	no	—
18	#11718787	—	2	2	no	—
19	C₄×#6104	C₂²	1	2	yes	—
20	#11718673	C₂²	1	2	yes	complemented
21	D₁₃×#107	C₄	1	1	yes	characteristic
22	#11718533	C₄	1	1	yes	characteristic
23	#11718499	C₂²	1	2	yes	complemented
24	#11718494	C₂²	1	2	yes	—
25	D₁₃×#102	C₄	1	2	yes	—
26	#11718417	C₄	1	2	yes	—
27	#11718390	—	2	2	no	—
28	#11718387	—	2	2	no	—
29	C₄×D₁₀₄	C₂²	1	1	yes	characteristic
30	#11718349	C₂²	1	2	yes	complemented
31	#11718346	C₂²	1	1	yes	characteristic
32	#11718346	C₂²	1	1	yes	characteristic
33	C₄×C₈×D₁₃	C₂²	1	1	yes	characteristic
34	C₁₃×#335	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×D₄⋊C₈	C₂²	1	2	yes	complemented
36	C₈²×C₁₃	C₂²	1	1	yes	characteristic, complemented
37	D₄⋊#1055	C₂²	1	2	yes	complemented
38	#11718075	C₂²	1	2	yes	complemented
39	#11718072	C₂²	1	2	yes	complemented
40	#11718051	C₂²	1	2	yes	complemented
41	#11718050	C₂²	1	1	yes	characteristic, complemented
42	#11718046	C₂²	1	1	yes	characteristic, complemented
43	#11718046	C₂²	1	1	yes	characteristic, complemented
44	C₈×#1055	C₂²	1	1	yes	characteristic, complemented
45	C₂×D₄×D₁₃	C₂×C₄	1	2	yes	—
46	C₂²×C₄×D₁₃	—	2	2	no	—
47	C₂×C₁₃×D₈	C₂×C₄	1	1	yes	characteristic
48	C₂×C₁₃×M₁₆	—	2	2	no	—
49	C₄×D₄×C₁₃	C₂³	1	2	yes	—
50	D₄×Dic₁₃	C₂×C₄	1	2	yes	—
51	C₂×#6104	C₂×C₄	1	2	yes	—
52	C₄×C₂²⋊D₁₃	—	2	2	no	—
53	C₂×#6099	—	2	2	no	—
54	D₈×D₁₃	—	2	4	no	—
55	C₂×D₁₀₄	C₂×C₄	1	1	yes	characteristic
56	C₂×#6094	—	2	2	no	—
57	C₂×#6094	—	2	2	no	—
58	C₂×C₈×D₁₃	C₂×C₄	1	1	yes	characteristic
59	C₂×C₈×D₁₃	C₂×C₄	1	1	yes	characteristic
60	#88147	C₂×C₄	1	2	yes	—
61	C₄⋊C₄×D₁₃	C₂×C₄	1	2	yes	—
62	#88135	—	2	2	no	—
63	C₂²⋊C₄×D₁₃	—	2	2	no	—
64	C₄×D₅₂	C₂³	1	2	yes	—
65	C₄²×D₁₃	C₂³	1	1	yes	characteristic
66	C₁₃×#107	C₂×C₄	1	1	yes	characteristic
67	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
68	C₁₃×#102	C₂×C₄	1	2	yes	—
69	C₁₃×C₂²⋊C₈	—	2	2	no	—
70	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
71	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
72	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
73	#88072	C₂×C₄	1	2	yes	—
74	C₂²⋊#1055	—	2	2	no	—
75	#88061	C₂×C₄	1	2	yes	—
76	#88060	—	2	2	no	—
77	#88060	—	2	1	no	—
78	#88060	—	2	2	no	—
79	#88060	—	2	2	no	—
80	#88060	D₄	1	1	yes	characteristic
81	#88060	D₄	1	1	yes	characteristic
82	#88058	C₂×C₄	1	1	yes	characteristic
83	#88054	—	2	1	no	—
84	#88054	D₄	1	1	yes	characteristic
85	#88054	D₄	1	1	yes	characteristic
86	C₈×Dic₁₃	—	2	2	no	—
87	C₈×Dic₁₃	C₂×C₄	1	1	yes	characteristic
88	C₈×Dic₁₃	C₂×C₄	1	1	yes	characteristic
89	#88049	C₂×C₄	1	2	yes	—
90	#88047	C₂×C₄	1	2	yes	—
91	C₄⋊#1055	C₂³	1	2	yes	—
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	#17895	—	13	1	no	maximal, Sylow
96	C₂³×D₁₃	—	2	2	no	—
97	C₂×D₄×C₁₃	C₂²×C₄	1	2	yes	—
98	C₂²×C₄×C₁₃	—	2	2	no	—
99	C₂×C₂²⋊D₁₃	—	2	2	no	—
100	C₂²×Dic₁₃	—	2	2	no	—
101	D₄×D₁₃	—	2	4	no	—
102	D₄×D₁₃	—	2	4	no	—
103	C₂×D₅₂	C₂²×C₄	1	2	yes	—
104	C₂×C₄×D₁₃	—	2	2	no	—
105	C₂×C₄×D₁₃	—	2	2	no	—
106	C₂×C₄×D₁₃	—	2	2	no	—
107	C₂×C₄×D₁₃	—	8	2	no	—
108	C₂×C₄×D₁₃	—	8	2	no	—
109	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
110	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
111	C₂×C₄×D₁₃	#41	1	1	yes	characteristic
112	C₁₃×D₈	—	2	2	no	—
113	C₁₃×M₁₆	—	8	2	no	—
114	C₂×C₈×C₁₃	—	2	2	no	—
115	C₂×C₈×C₁₃	—	2	1	no	—
116	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
117	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
118	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
119	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
120	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
121	C₁₃×C₂²⋊C₄	—	2	2	no	—
122	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
123	C₂²⋊Dic₁₃	—	2	2	no	—
124	#6104	—	2	4	no	—
125	#6103	—	2	2	no	—
126	#6103	—	2	2	no	—
127	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
128	#6101	—	2	2	no	—
129	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
130	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
131	C₄×Dic₁₃	#41	1	1	yes	characteristic
132	#6099	—	8	2	no	—
133	C₂×#1055	—	2	2	no	—
134	C₂×#1055	—	2	1	no	—
135	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
136	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
137	C₂×#1055	C₂×D₄	1	1	yes	characteristic
138	C₂×#1055	C₂×D₄	1	1	yes	characteristic
139	D₁₀₄	—	2	2	no	—
140	#6094	—	8	2	no	—
141	#6094	—	8	2	no	—
142	C₈×D₁₃	—	2	2	no	—
143	C₈×D₁₃	M₁₆	1	4	yes	complemented
144	#2975	—	13	2	no	—
145	C₂×C₄×D₈	—	13	1	no	—
146	#1594	—	13	2	no	—
147	#1594	—	13	2	no	—
148	#1589	—	13	1	no	—
149	#1589	—	13	1	no	—
150	#1589	—	13	1	no	—
151	#1589	D₁₃	1	1	yes	characteristic, complemented
152	#1564	—	13	1	no	—
153	#1478	—	13	2	no	—
154	#1450	—	13	1	no	—
155	C₂³×C₁₃	—	2	2	no	—
156	C₂²×D₁₃	—	2	2	no	—
157	C₂²×D₁₃	—	4	4	no	—
158	C₂²×D₁₃	—	8	2	no	—
159	C₂²×D₁₃	—	8	2	no	—
160	C₂²×D₁₃	C₄×D₄	1	1	yes	characteristic
161	D₄×C₁₃	—	2	2	no	—
162	D₄×C₁₃	—	2	2	no	—
163	C₂×C₄×C₁₃	—	2	2	no	—
164	C₂×C₄×C₁₃	—	4	2	no	—
165	C₂×C₄×C₁₃	—	4	2	no	—
166	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
167	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
168	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
169	C₂²⋊D₁₃	—	4	4	no	—
170	C₂×Dic₁₃	—	2	2	no	—
171	C₂×Dic₁₃	—	8	2	no	—
172	C₂×Dic₁₃	C₄×D₄	1	1	yes	characteristic
173	C₂×Dic₁₃	C₄×D₄	1	1	yes	characteristic
174	C₂×Dic₁₃	C₄×D₄	1	1	yes	characteristic
175	D₅₂	—	2	2	no	—
176	D₅₂	—	2	2	no	—
177	C₄×D₁₃	—	2	1	no	—
178	C₄×D₁₃	—	2	1	no	—
179	C₄×D₁₃	—	4	1	no	—
180	C₄×D₁₃	—	4	2	no	—
181	C₄×D₁₃	—	4	2	no	—
182	C₄×D₁₃	—	8	2	no	—
183	C₄×D₁₃	—	8	2	no	—
184	C₄×D₁₃	C₂×M₁₆	1	2	yes	—
185	C₄×D₁₃	#131	1	2	yes	—
186	C₈×C₁₃	—	2	1	no	—
187	C₈×C₁₃	—	2	1	no	—
188	C₈×C₁₃	—	2	1	no	—
189	C₈×C₁₃	—	4	1	no	—
190	C₈×C₁₃	—	4	2	no	—
191	C₈×C₁₃	C₂×M₁₆	1	2	yes	—
192	#1055	—	2	1	no	—
193	#1055	—	2	1	no	—
194	#1055	—	2	1	no	—
195	#1055	—	4	1	no	—
196	#1055	—	4	2	no	—
197	#1055	C₂×M₁₆	1	2	yes	—
198	C₂²×D₈	—	13	1	no	—
199	C₂×C₄×D₄	—	13	2	no	—
200	C₄×D₈	—	13	1	no	—
201	C₄×D₈	—	13	2	no	—
202	C₄×D₈	—	13	1	no	—
203	C₄×D₈	—	13	2	no	—
204	C₄×D₈	—	13	1	no	—
205	C₄×D₈	C₂×D₁₃	1	1	yes	characteristic
206	#436	—	13	2	no	—
207	#436	—	13	2	no	—
208	#436	—	13	2	no	—
209	#436	—	26	2	no	—
210	#436	—	26	2	no	—
211	#436	C₂×D₁₃	1	2	yes	complemented
212	#431	—	13	1	no	—
213	#431	—	13	1	no	—
214	#431	—	13	2	no	—
215	C₂×#107	—	13	1	no	—
216	C₂×#102	—	13	2	no	—
217	#407	—	26	2	no	—
218	#407	—	26	2	no	—
219	C₂×C₄×C₈	—	13	1	no	—
220	#335	—	13	1	no	—
221	#335	C₂×D₁₃	1	1	yes	characteristic, complemented
222	#334	—	13	2	no	—
223	D₄⋊C₈	—	13	2	no	—
224	D₄⋊C₈	—	13	2	no	—
225	D₄⋊C₈	—	13	2	no	—
226	D₄⋊C₈	C₂×D₁₃	1	2	yes	complemented
227	#322	—	13	1	no	—
228	#322	—	13	1	no	—
229	C₈²	—	13	1	no	—
230	C₈²	C₂×D₁₃	1	1	yes	characteristic, complemented
231	C₂²×C₁₃	—	4	2	no	—
232	C₂²×C₁₃	—	4	2	no	—
233	C₂²×C₁₃	—	4	2	no	—
234	C₂²×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
235	C₂×D₁₃	—	2	1	no	—
236	C₂×D₁₃	—	2	1	no	—
237	C₂×D₁₃	—	4	2	no	—
238	C₂×D₁₃	—	4	2	no	—
239	C₂×D₁₃	—	4	2	no	—
240	C₂×D₁₃	—	8	8	no	—
241	C₂×D₁₃	#436	1	2	yes	—
242	C₄×C₁₃	—	2	1	no	—
243	C₄×C₁₃	—	4	2	no	—
244	C₄×C₁₃	C₂²×M₁₆	1	1	yes	characteristic
245	C₄×C₁₃	C₂×#131	1	1	yes	characteristic
246	C₄×C₁₃	#576	1	1	yes	characteristic
247	C₄×C₁₃	#576	1	1	yes	characteristic
248	Dic₁₃	—	2	1	no	—
249	Dic₁₃	—	2	1	no	—
250	Dic₁₃	—	4	2	no	—
251	Dic₁₃	#436	1	2	yes	—
252	C₂²×D₄	—	13	2	no	—
253	C₂³×C₄	—	26	2	no	—
254	C₂×D₈	—	13	2	no	—
255	C₂×D₈	—	13	1	no	—
256	C₂×D₈	—	26	4	no	—
257	C₂×D₈	C₄×D₁₃	1	1	yes	characteristic
258	C₂×M₁₆	—	2	2	no	—
259	C₂×M₁₆	—	26	2	no	—
260	C₂×M₁₆	—	26	2	no	—
261	C₂×M₁₆	—	26	2	no	—
262	C₂²×C₈	—	13	1	no	—
263	C₂²×C₈	—	13	1	no	—
264	C₄×D₄	—	13	2	no	—
265	C₄×D₄	—	13	2	no	—
266	C₄×D₄	—	13	2	no	—
267	C₄×D₄	—	26	2	no	—
268	C₄×D₄	—	26	2	no	—
269	C₄×D₄	C₂²×D₁₃	1	2	yes	—
270	C₂×C₄⋊C₄	—	13	2	no	—
271	C₂×C₂²⋊C₄	—	26	2	no	—
272	C₂×C₄²	—	13	1	no	—
273	#107	—	13	1	no	—
274	#107	—	13	2	no	—
275	#107	C₄×D₁₃	1	1	yes	characteristic
276	C₄⋊C₈	—	13	1	no	—
277	C₄⋊C₈	—	13	1	no	—
278	C₄⋊C₈	—	13	2	no	—
279	C₄⋊C₈	—	26	1	no	—
280	C₄⋊C₈	C₂²×D₁₃	1	2	yes	—
281	#102	—	13	2	no	—
282	#102	—	13	2	no	—
283	#102	—	13	2	no	—
284	#102	C₄×D₁₃	1	2	yes	—
285	C₂²⋊C₈	—	2	2	no	—
286	C₂²⋊C₈	—	13	1	no	—
287	C₂²⋊C₈	—	13	1	no	—
288	C₂²⋊C₈	—	26	2	no	—
289	C₂²⋊C₈	—	26	2	no	—
290	C₂²⋊C₈	—	26	1	no	—
291	C₂²⋊C₈	—	26	2	no	—
292	C₂²⋊C₈	—	26	2	no	—
293	C₄×C₈	—	13	1	no	—
294	C₄×C₈	—	13	1	no	—
295	C₄×C₈	—	13	1	no	—
296	C₄×C₈	—	13	1	no	—
297	C₄×C₈	—	13	1	no	—
298	C₄×C₈	—	26	2	no	—
299	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
300	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
301	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
302	C₂×C₁₃	—	8	2	no	—
303	C₂×C₁₃	C₂×#436	1	1	yes	characteristic
304	C₂×C₁₃	#2948	1	1	yes	characteristic
305	C₂×C₁₃	#2957	1	1	yes	characteristic
306	D₁₃	—	2	2	no	—
307	D₁₃	—	8	2	no	—
308	C₂⁴	—	26	2	no	—
309	C₂×D₄	—	13	2	no	—
310	C₂×D₄	—	26	4	no	—
311	C₂×D₄	—	26	4	no	—
312	C₂×D₄	—	26	2	no	—
313	C₂×D₄	C₂×C₄×D₁₃	1	2	yes	—
314	C₂²×C₄	—	2	2	no	—
315	C₂²×C₄	—	13	1	no	—
316	C₂²×C₄	—	13	1	no	—
317	C₂²×C₄	—	13	1	no	—
318	C₂²×C₄	—	26	2	no	—
319	C₂²×C₄	—	26	2	no	—
320	C₂²×C₄	—	26	2	no	—
321	C₂²×C₄	—	26	2	no	—
322	C₂²×C₄	—	104	2	no	—
323	C₂²×C₄	—	104	2	no	—
324	D₈	—	2	2	no	—
325	D₈	—	26	4	no	—
326	D₈	—	26	2	no	—
327	M₁₆	—	8	2	no	—
328	M₁₆	—	104	2	no	—
329	M₁₆	—	104	2	no	—
330	M₁₆	—	104	2	no	—
331	C₂×C₈	—	2	2	no	—
332	C₂×C₈	—	2	1	no	—
333	C₂×C₈	—	13	1	no	—
334	C₂×C₈	—	13	4	no	—
335	C₂×C₈	—	13	1	no	—
336	C₂×C₈	—	13	1	no	—
337	C₂×C₈	—	13	1	no	—
338	C₂×C₈	—	26	2	no	—
339	C₂×C₈	—	26	2	no	—
340	C₂×C₈	—	26	1	no	—
341	C₂×C₈	C₂×C₄×D₁₃	1	1	yes	characteristic
342	C₂×C₈	C₂×C₄×D₁₃	1	1	yes	characteristic
343	C₂×C₈	D₄×D₁₃	1	1	yes	characteristic
344	C₂×C₈	D₄×D₁₃	1	1	yes	characteristic
345	C₄⋊C₄	—	13	2	no	—
346	C₄⋊C₄	—	26	2	no	—
347	C₄⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
348	C₂²⋊C₄	—	2	2	no	—
349	C₂²⋊C₄	—	26	2	no	—
350	C₂²⋊C₄	—	26	2	no	—
351	C₂²⋊C₄	—	26	2	no	—
352	C₄²	—	13	1	no	—
353	C₄²	—	13	1	no	—
354	C₄²	—	13	1	no	—
355	C₄²	C₂³×D₁₃	1	1	yes	characteristic
356	C₁₃	#17895	1	1	yes	characteristic, complemented, Sylow
357	C₂³	—	2	2	no	—
358	C₂³	—	13	1	no	—
359	C₂³	—	26	2	no	—
360	C₂³	—	52	4	no	—
361	C₂³	—	104	2	no	—
362	C₂³	—	104	2	no	—
363	D₄	—	2	2	no	—
364	D₄	—	2	2	no	—
365	D₄	—	26	2	no	—
366	D₄	—	26	2	no	—
367	D₄	—	52	4	no	—
368	C₂×C₄	—	2	2	no	—
369	C₂×C₄	—	4	2	no	—
370	C₂×C₄	—	4	2	no	—
371	C₂×C₄	—	13	1	no	—
372	C₂×C₄	—	13	2	no	—
373	C₂×C₄	—	13	2	no	—
374	C₂×C₄	—	13	1	no	—
375	C₂×C₄	—	13	1	no	—
376	C₂×C₄	—	26	1	no	—
377	C₂×C₄	—	26	1	no	—
378	C₂×C₄	—	26	2	no	—
379	C₂×C₄	—	52	1	no	—
380	C₂×C₄	—	52	2	no	—
381	C₂×C₄	—	52	2	no	—
382	C₂×C₄	—	104	2	no	—
383	C₂×C₄	—	104	2	no	—
384	C₂×C₄	—	104	2	no	—
385	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
386	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
387	C₂×C₄	#41×D₁₃	1	1	yes	characteristic
388	C₈	—	2	1	no	—
389	C₈	—	2	1	no	—
390	C₈	—	2	1	no	—
391	C₈	—	4	1	no	—
392	C₈	—	4	2	no	—
393	C₈	—	13	2	no	—
394	C₈	—	26	1	no	—
395	C₈	—	26	1	no	—
396	C₈	—	26	1	no	—
397	C₈	—	52	1	no	—
398	C₈	—	52	2	no	—
399	C₈	M₁₆×D₁₃	1	2	yes	—
400	C₂²	—	4	2	no	—
401	C₂²	—	4	2	no	—
402	C₂²	—	4	2	no	—
403	C₂²	—	13	2	no	—
404	C₂²	—	26	1	no	—
405	C₂²	—	26	1	no	—
406	C₂²	—	52	2	no	—
407	C₂²	—	52	2	no	—
408	C₂²	—	52	2	no	—
409	C₂²	—	104	8	no	—
410	C₂²	C₄×D₄×D₁₃	1	1	yes	characteristic
411	C₄	—	2	1	no	—
412	C₄	—	4	2	no	—
413	C₄	—	13	2	no	—
414	C₄	—	26	1	no	—
415	C₄	—	26	1	no	—
416	C₄	—	52	2	no	—
417	C₄	C₂×M₁₆×D₁₃	1	1	yes	characteristic
418	C₄	D₁₃×#131	1	1	yes	characteristic
419	C₄	#11719462	1	1	yes	characteristic
420	C₄	#11719474	1	1	yes	characteristic
421	C₂	—	8	2	no	—
422	C₂	—	26	2	no	—
423	C₂	—	104	2	no	—
424	C₂	D₁₃×#436	1	1	yes	characteristic
425	C₂	#13123683	1	1	yes	characteristic
426	C₂	#13123748	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×#1589	C₂
socle	C₂²×C₁₃	C₂×C₄×D₄
prime radical	C₂×D₈×D₁₃	C₄
cosocle	C₄²×C₁₃	C₂⁴
hypercenter	#1589	D₁₃
hypocenter	C₁₃	#17895
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ C₄×C₈ ◁ #1589

Complements

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

N	H ≅ G/N	type
1. #13123874	C₂	semidirect
3. #13113748	C₂	semidirect
4. #13113747	C₂	semidirect
5. #13113722	C₂	semidirect
6. #13113721	C₂	semidirect
7. #13113720	C₂	semidirect
8. #13113583	C₂	semidirect
9. #13113225	C₂	semidirect
10. #13113118	C₂	semidirect
11. C₁₃×#1589	C₂	semidirect
15. C₁₃×#436	C₂²	semidirect
20. #11718673	C₂²	semidirect
23. #11718499	C₂²	semidirect
30. #11718349	C₂²	semidirect
34. C₁₃×#335	C₂²	semidirect
35. C₁₃×D₄⋊C₈	C₂²	semidirect
36. C₈²×C₁₃	C₂²	semidirect
37. D₄⋊#1055	C₂²	semidirect
38. #11718075	C₂²	semidirect
39. #11718072	C₂²	semidirect
40. #11718051	C₂²	semidirect
41. #11718050	C₂²	semidirect
42. #11718046	C₂²	semidirect
43. #11718046	C₂²	semidirect
44. C₈×#1055	C₂²	semidirect
143. C₈×D₁₃	M₁₆	semidirect
151. #1589	D₁₃	semidirect
211. #436	C₂×D₁₃	semidirect
221. #335	C₂×D₁₃	semidirect
226. D₄⋊C₈	C₂×D₁₃	semidirect
230. C₈²	C₂×D₁₃	semidirect
356. C₁₃	#17895	semidirect

Maximal subgroups

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

subgroup	index
#13123874	2
C₄×D₈×D₁₃	2
#13113748	2
#13113747	2
#13113722	2
#13113721	2
#13113720	2
#13113583	2
#13113225	2
#13113118	2
C₁₃×#1589	2
#17895	13