Subgroups — #15834139

Order 3328.

598 conjugacy classes of subgroups.

The subgroup lattice has 430 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13124908	C₂	1	1	yes	maximal, characteristic
2	#13123965	C₂	1	1	yes	maximal, characteristic
3	#13123937	C₂	1	1	yes	maximal, characteristic, complemented
4	#13113728	C₂	1	2	yes	maximal, complemented
5	#13113716	C₂	1	2	yes	maximal, complemented
6	#13113709	C₂	1	2	yes	maximal, complemented
7	C₈×Dic₅₂	C₂	1	2	yes	maximal, complemented
8	#13113625	C₂	1	1	yes	maximal, characteristic, complemented
9	#13113292	C₂	1	1	yes	maximal, characteristic, complemented
10	#13113219	C₂	1	1	yes	maximal, characteristic
11	C₁₃×#1450	C₂	1	1	yes	maximal, characteristic, complemented
12	C₄×#6127	C₂²	1	1	yes	characteristic
13	#11719175	C₂²	1	1	yes	characteristic
14	C₁₃×#431	C₂²	1	1	yes	characteristic
15	C₁₃×#431	C₂²	1	1	yes	characteristic
16	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
17	#11718586	C₂²	1	1	yes	characteristic
18	#11718585	C₂²	1	1	yes	characteristic
19	#11718512	C₄	1	1	yes	characteristic
20	#11718510	C₄	1	1	yes	characteristic
21	#11718507	C₄	1	1	yes	characteristic
22	#11718502	C₄	1	1	yes	characteristic
23	#11718498	—	2	1	no	—
24	#11718494	—	2	1	no	—
25	#11718492	—	2	1	no	—
26	#11718491	—	2	1	no	—
27	#11718394	C₄	1	2	yes	—
28	#11718390	—	2	2	no	—
29	#11718384	C₄	1	2	yes	—
30	#11718381	—	2	2	no	—
31	C₄×Dic₅₂	C₂²	1	2	yes	—
32	C₄×#6095	C₂²	1	2	yes	—
33	#11718349	C₂²	1	2	yes	—
34	#11718340	C₂²	1	2	yes	—
35	C₈×Dic₂₆	C₂²	1	2	yes	—
36	C₈×Dic₂₆	C₂²	1	2	yes	—
37	C₁₃×#322	C₂²	1	2	yes	—
38	C₈²×C₁₃	C₂²	1	2	yes	—
39	#11718051	C₂²	1	1	yes	characteristic
40	#11718051	C₂²	1	1	yes	characteristic
41	#11718050	C₂²	1	2	yes	—
42	#11718049	C₂²	1	2	yes	—
43	#11718048	C₂²	1	1	yes	characteristic
44	#11718048	C₂²	1	2	yes	—
45	#11718048	C₂²	1	1	yes	characteristic
46	#11718048	C₂²	1	2	yes	—
47	C₂×#6127	C₂×C₄	1	1	yes	characteristic
48	C₂²×C₈×C₁₃	—	2	1	no	—
49	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
50	C₄×C₂²⋊D₁₃	—	2	1	no	—
51	C₄×C₂²⋊D₁₃	—	2	1	no	—
52	#88180	—	2	1	no	—
53	#88180	C₂×C₄	1	1	yes	characteristic
54	#88178	—	2	1	no	—
55	#88178	C₂×C₄	1	2	yes	—
56	C₂×#6099	—	2	1	no	—
57	C₂×Dic₅₂	C₂×C₄	1	2	yes	—
58	C₂×#6095	C₂×C₄	1	2	yes	—
59	C₂×#6094	—	2	2	no	—
60	C₄×D₅₂	C₂×C₄	1	1	yes	characteristic
61	C₄×D₅₂	C₂³	1	1	yes	characteristic
62	#88126	—	2	1	no	—
63	C₄²×D₁₃	—	2	1	no	—
64	#88124	—	2	1	no	—
65	#88123	C₂×C₄	1	1	yes	characteristic
66	#88123	C₂×C₄	1	1	yes	characteristic
67	C₄×Dic₂₆	—	2	1	no	—
68	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
69	C₄×Dic₂₆	C₂³	1	2	yes	—
70	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
71	C₁₃×C₄⋊C₈	C₂×C₄	1	1	yes	characteristic
72	C₁₃×C₄⋊C₈	C₂×C₄	1	1	yes	characteristic
73	C₁₃×C₄⋊C₈	D₄	1	1	yes	characteristic
74	C₁₃×C₄⋊C₈	D₄	1	1	yes	characteristic
75	C₁₃×C₂²⋊C₈	C₂×C₄	1	2	yes	—
76	C₁₃×C₂²⋊C₈	D₄	1	2	yes	—
77	C₄×C₈×C₁₃	—	2	1	no	—
78	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
79	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
80	C₄×C₈×C₁₃	C₂³	1	2	yes	—
81	C₄×C₈×C₁₃	C₂³	1	2	yes	—
82	C₂²⋊#1055	—	2	1	no	—
83	#88061	C₂×C₄	1	2	yes	—
84	#88060	—	2	2	no	—
85	#88058	C₂×C₄	1	2	yes	—
86	#88057	C₂×C₄	1	2	yes	—
87	#88056	C₂×C₄	1	2	yes	—
88	#88056	C₂×C₄	1	2	yes	—
89	#88056	C₂×C₄	1	2	yes	—
90	#88055	—	2	2	no	—
91	#88054	—	2	2	no	—
92	#88054	—	2	2	no	—
93	#88054	—	2	2	no	—
94	C₈×Dic₁₃	—	2	2	no	—
95	C₈×Dic₁₃	—	2	2	no	—
96	C₄⋊#1055	—	2	1	no	—
97	C₄⋊#1055	C₂³	1	2	yes	—
98	C₄⋊#1055	C₂³	1	1	yes	characteristic
99	C₄⋊#1055	C₂³	1	1	yes	characteristic
100	C₄×#1055	—	2	1	no	—
101	#18019	—	13	1	no	maximal, Sylow
102	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
103	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
104	C₂²×C₄×C₁₃	#41	1	1	yes	characteristic
105	C₂×C₂²⋊D₁₃	—	2	1	no	—
106	#6127	—	2	2	no	—
107	#6127	—	4	1	no	—
108	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
109	C₂×C₄×D₁₃	—	2	1	no	—
110	C₂×C₄×D₁₃	—	2	1	no	—
111	C₂×C₄×D₁₃	—	2	1	no	—
112	C₂×Dic₂₆	—	2	1	no	—
113	C₂×Dic₂₆	C₂²×C₄	1	2	yes	—
114	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
115	C₂×C₈×C₁₃	—	2	4	no	—
116	C₂×C₈×C₁₃	—	2	1	no	—
117	C₂×C₈×C₁₃	—	2	1	no	—
118	C₂×C₈×C₁₃	C₂²×C₄	1	2	yes	—
119	C₂×C₈×C₁₃	C₂²×C₄	1	2	yes	—
120	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
121	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
122	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
123	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
124	C₄²×C₁₃	#41	1	1	yes	characteristic
125	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
126	C₂²⋊Dic₁₃	—	2	2	no	—
127	C₂²⋊Dic₁₃	—	2	1	no	—
128	#6103	—	2	1	no	—
129	#6103	—	2	1	no	—
130	C₄⋊Dic₁₃	—	2	1	no	—
131	C₄⋊Dic₁₃	—	2	1	no	—
132	C₄⋊Dic₁₃	—	2	1	no	—
133	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
134	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
135	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
136	#6101	—	2	2	no	—
137	#6101	—	2	1	no	—
138	#6101	—	2	2	no	—
139	#6101	—	2	1	no	—
140	C₄×Dic₁₃	—	2	1	no	—
141	C₄×Dic₁₃	—	2	1	no	—
142	C₄×Dic₁₃	—	2	2	no	—
143	C₄×Dic₁₃	—	2	1	no	—
144	#6099	—	8	1	no	—
145	C₂×#1055	—	2	1	no	—
146	C₂×#1055	—	2	1	no	—
147	C₂×#1055	—	2	2	no	—
148	Dic₅₂	—	2	4	no	—
149	#6095	—	4	2	no	—
150	#6094	—	8	2	no	—
151	#3107	—	13	1	no	—
152	#2991	—	13	1	no	—
153	#2986	—	13	1	no	—
154	#1590	—	13	2	no	—
155	#1588	—	13	2	no	—
156	#1587	—	13	2	no	—
157	C₈×Q₁₆	—	13	2	no	—
158	#1574	—	13	1	no	—
159	#1493	—	13	1	no	—
160	#1476	—	13	1	no	—
161	#1450	D₁₃	1	1	yes	characteristic, complemented
162	C₂³×C₁₃	C₄×D₄	1	1	yes	characteristic
163	C₂²×D₁₃	—	2	1	no	—
164	C₂×C₄×C₁₃	—	2	1	no	—
165	C₂×C₄×C₁₃	—	2	1	no	—
166	C₂×C₄×C₁₃	—	2	1	no	—
167	C₂×C₄×C₁₃	—	2	1	no	—
168	C₂×C₄×C₁₃	—	2	2	no	—
169	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
170	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
171	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
172	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
173	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
174	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
175	C₂²⋊D₁₃	—	4	2	no	—
176	C₂×Dic₁₃	—	2	1	no	—
177	C₂×Dic₁₃	—	2	1	no	—
178	C₂×Dic₁₃	—	2	1	no	—
179	C₂×Dic₁₃	—	2	2	no	—
180	C₂×Dic₁₃	—	2	2	no	—
181	D₅₂	—	2	1	no	—
182	D₅₂	—	2	1	no	—
183	C₄×D₁₃	—	4	2	no	—
184	C₄×D₁₃	—	4	1	no	—
185	C₄×D₁₃	—	4	1	no	—
186	C₄×D₁₃	—	4	2	no	—
187	Dic₂₆	—	2	1	no	—
188	Dic₂₆	—	2	2	no	—
189	Dic₂₆	—	2	2	no	—
190	Dic₂₆	—	4	2	no	—
191	Dic₂₆	#131	1	2	yes	—
192	C₈×C₁₃	—	2	2	no	—
193	C₈×C₁₃	—	2	2	no	—
194	C₈×C₁₃	—	2	2	no	—
195	C₈×C₁₃	—	2	2	no	—
196	C₈×C₁₃	—	2	2	no	—
197	C₈×C₁₃	—	2	2	no	—
198	#1055	—	4	2	no	—
199	#1055	—	4	1	no	—
200	#1055	—	4	1	no	—
201	#533	—	13	1	no	—
202	C₄×#41	—	13	1	no	—
203	#485	—	13	2	no	—
204	#475	—	13	1	no	—
205	#474	—	13	1	no	—
206	#462	—	13	1	no	—
207	#461	—	13	1	no	—
208	#452	—	13	2	no	—
209	#446	—	13	2	no	—
210	#446	—	26	1	no	—
211	C₈×Q₈	—	13	2	no	—
212	C₈×Q₈	—	13	2	no	—
213	C₈×Q₈	—	26	1	no	—
214	C₄×Q₁₆	—	13	2	no	—
215	C₄×SD₁₆	—	13	2	no	—
216	#436	—	13	2	no	—
217	#436	—	26	2	no	—
218	#433	—	26	2	no	—
219	#431	—	13	1	no	—
220	#431	—	26	1	no	—
221	#431	C₂×D₁₃	1	1	yes	characteristic
222	#431	C₂×D₁₃	1	1	yes	characteristic
223	#423	—	13	1	no	—
224	#423	—	26	1	no	—
225	C₂×C₄×C₈	C₂×D₁₃	1	1	yes	characteristic
226	#335	—	13	2	no	—
227	#334	—	13	2	no	—
228	Q₈⋊C₈	—	13	1	no	—
229	Q₈⋊C₈	—	13	2	no	—
230	Q₈⋊C₈	—	13	1	no	—
231	Q₈⋊C₈	—	13	2	no	—
232	D₄⋊C₈	—	13	1	no	—
233	D₄⋊C₈	—	13	1	no	—
234	#322	C₂×D₁₃	1	2	yes	—
235	C₈²	C₂×D₁₃	1	2	yes	—
236	C₂²×C₁₃	—	2	1	no	—
237	C₂²×C₁₃	—	2	1	no	—
238	C₂²×C₁₃	—	2	1	no	—
239	C₂²×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
240	C₂×D₁₃	—	4	1	no	—
241	C₂×D₁₃	—	4	1	no	—
242	C₂×D₁₃	—	4	1	no	—
243	C₄×C₁₃	—	2	1	no	—
244	C₄×C₁₃	—	2	1	no	—
245	C₄×C₁₃	—	2	1	no	—
246	C₄×C₁₃	#443	1	2	yes	—
247	C₄×C₁₃	C₂×#131	1	1	yes	characteristic
248	C₄×C₁₃	#568	1	1	yes	characteristic
249	C₄×C₁₃	#577	1	1	yes	characteristic
250	C₄×C₁₃	#578	1	1	yes	characteristic
251	Dic₁₃	—	2	2	no	—
252	Dic₁₃	—	4	2	no	—
253	Dic₁₃	—	4	1	no	—
254	Dic₁₃	—	4	2	no	—
255	Dic₁₃	—	4	1	no	—
256	C₂×#41	—	13	1	no	—
257	C₂×Q₁₆	—	13	2	no	—
258	C₂×SD₁₆	—	13	2	no	—
259	C₂×M₁₆	—	26	1	no	—
260	C₂×M₁₆	—	26	2	no	—
261	C₂²×C₈	—	2	1	no	—
262	C₄⋊Q₈	—	13	1	no	—
263	C₄⋊Q₈	—	13	1	no	—
264	#125	—	26	1	no	—
265	C₂²⋊Q₈	—	13	2	no	—
266	C₂²⋊Q₈	—	26	1	no	—
267	C₄×Q₈	—	13	1	no	—
268	C₄×Q₈	—	13	1	no	—
269	C₄×Q₈	—	13	2	no	—
270	C₄×Q₈	—	26	1	no	—
271	C₄×D₄	—	13	1	no	—
272	C₄×D₄	—	13	1	no	—
273	C₄×D₄	—	26	1	no	—
274	C₄×D₄	—	26	1	no	—
275	#117	—	13	1	no	—
276	#117	—	26	1	no	—
277	#117	—	26	1	no	—
278	C₂×C₄²	—	26	1	no	—
279	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
280	#107	—	13	2	no	—
281	#106	—	13	2	no	—
282	C₄⋊C₈	—	13	1	no	—
283	C₄⋊C₈	—	13	1	no	—
284	C₄⋊C₈	—	13	2	no	—
285	C₄⋊C₈	—	26	2	no	—
286	C₄⋊C₈	—	26	2	no	—
287	C₄⋊C₈	—	26	2	no	—
288	C₄⋊C₈	—	26	1	no	—
289	C₄⋊C₈	C₄×D₁₃	1	1	yes	characteristic
290	C₄⋊C₈	C₄×D₁₃	1	1	yes	characteristic
291	C₄⋊C₈	D₅₂	1	1	yes	characteristic
292	C₄⋊C₈	D₅₂	1	1	yes	characteristic
293	#103	—	13	2	no	—
294	#103	—	13	2	no	—
295	#103	—	13	2	no	—
296	#102	—	13	2	no	—
297	C₂²⋊C₈	—	26	1	no	—
298	C₂²⋊C₈	—	26	2	no	—
299	C₂²⋊C₈	C₄×D₁₃	1	2	yes	—
300	C₂²⋊C₈	D₅₂	1	2	yes	—
301	#97	—	26	2	no	—
302	C₄×C₈	—	2	1	no	—
303	C₄×C₈	—	26	2	no	—
304	C₄×C₈	—	26	2	no	—
305	C₄×C₈	—	26	1	no	—
306	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
307	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
308	C₄×C₈	C₂²×D₁₃	1	2	yes	—
309	C₄×C₈	C₂²×D₁₃	1	2	yes	—
310	C₂×C₁₃	—	4	1	no	—
311	C₂×C₁₃	#2933	1	1	yes	characteristic
312	C₂×C₁₃	#2947	1	1	yes	characteristic
313	C₂×C₁₃	C₂×#443	1	1	yes	characteristic
314	D₁₃	—	8	1	no	—
315	#41	—	26	2	no	—
316	#41	—	52	1	no	—
317	C₂×Q₈	—	13	1	no	—
318	C₂×Q₈	—	13	2	no	—
319	C₂×Q₈	—	26	1	no	—
320	C₂×D₄	—	13	1	no	—
321	C₂×D₄	—	26	1	no	—
322	C₂²×C₄	—	26	1	no	—
323	C₂²×C₄	—	26	1	no	—
324	C₂²×C₄	—	26	1	no	—
325	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
326	C₂²×C₄	C₂×D₅₂	1	1	yes	characteristic
327	C₂²×C₄	#6127	1	1	yes	characteristic
328	Q₁₆	—	26	4	no	—
329	SD₁₆	—	52	2	no	—
330	M₁₆	—	104	2	no	—
331	M₁₆	—	104	1	no	—
332	C₂×C₈	—	2	4	no	—
333	C₂×C₈	—	2	1	no	—
334	C₂×C₈	—	2	1	no	—
335	C₂×C₈	—	26	1	no	—
336	C₂×C₈	—	26	1	no	—
337	C₂×C₈	—	26	2	no	—
338	C₂×C₈	C₂×C₄×D₁₃	1	2	yes	—
339	C₂×C₈	C₂×C₄×D₁₃	1	2	yes	—
340	C₂×C₈	C₂×D₅₂	1	2	yes	—
341	C₂×C₈	C₂×D₅₂	1	2	yes	—
342	C₄⋊C₄	—	13	2	no	—
343	C₄⋊C₄	—	13	1	no	—
344	C₄⋊C₄	—	13	1	no	—
345	C₄⋊C₄	—	26	1	no	—
346	C₄⋊C₄	—	26	1	no	—
347	C₄⋊C₄	—	26	1	no	—
348	C₄⋊C₄	—	26	2	no	—
349	C₄⋊C₄	—	26	1	no	—
350	C₄⋊C₄	—	26	1	no	—
351	C₄⋊C₄	—	26	2	no	—
352	C₂²⋊C₄	—	26	1	no	—
353	C₂²⋊C₄	—	26	2	no	—
354	C₂²⋊C₄	—	26	1	no	—
355	C₂²⋊C₄	—	26	1	no	—
356	C₄²	—	26	1	no	—
357	C₄²	—	26	1	no	—
358	C₄²	—	26	1	no	—
359	C₄²	—	26	2	no	—
360	C₄²	C₂×C₄×D₁₃	1	1	yes	characteristic
361	C₄²	C₂×D₅₂	1	1	yes	characteristic
362	C₄²	#6127	1	1	yes	characteristic
363	C₄²	C₂³×D₁₃	1	1	yes	characteristic
364	C₁₃	#18019	1	1	yes	characteristic, complemented, Sylow
365	C₂³	—	26	1	no	—
366	C₂³	C₄×D₅₂	1	1	yes	characteristic
367	Q₈	—	13	2	no	—
368	Q₈	—	26	1	no	—
369	Q₈	—	26	2	no	—
370	Q₈	—	26	2	no	—
371	Q₈	—	52	2	no	—
372	D₄	—	26	1	no	—
373	D₄	—	26	1	no	—
374	D₄	—	52	2	no	—
375	C₂×C₄	—	2	1	no	—
376	C₂×C₄	—	2	1	no	—
377	C₂×C₄	—	2	1	no	—
378	C₂×C₄	—	2	1	no	—
379	C₂×C₄	—	2	2	no	—
380	C₂×C₄	—	26	1	no	—
381	C₂×C₄	—	26	1	no	—
382	C₂×C₄	—	26	1	no	—
383	C₂×C₄	—	26	2	no	—
384	C₂×C₄	—	26	2	no	—
385	C₂×C₄	—	52	2	no	—
386	C₂×C₄	—	52	1	no	—
387	C₂×C₄	—	52	1	no	—
388	C₂×C₄	—	52	2	no	—
389	C₂×C₄	C₄×D₅₂	1	1	yes	characteristic
390	C₂×C₄	C₄×D₅₂	1	1	yes	characteristic
391	C₂×C₄	C₄×D₅₂	1	1	yes	characteristic
392	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
393	C₂×C₄	C₂²×D₅₂	1	1	yes	characteristic
394	C₂×C₄	C₂×#6127	1	1	yes	characteristic
395	C₈	—	2	2	no	—
396	C₈	—	2	2	no	—
397	C₈	—	2	2	no	—
398	C₈	—	2	2	no	—
399	C₈	—	2	2	no	—
400	C₈	—	2	2	no	—
401	C₈	—	52	1	no	—
402	C₈	—	52	2	no	—
403	C₈	—	52	1	no	—
404	C₂²	—	2	1	no	—
405	C₂²	—	2	1	no	—
406	C₂²	—	2	1	no	—
407	C₂²	—	52	1	no	—
408	C₂²	—	52	1	no	—
409	C₂²	—	52	1	no	—
410	C₂²	C₂×C₄×D₅₂	1	1	yes	characteristic
411	C₄	—	2	1	no	—
412	C₄	—	2	1	no	—
413	C₄	—	2	1	no	—
414	C₄	—	26	2	no	—
415	C₄	—	52	1	no	—
416	C₄	—	52	1	no	—
417	C₄	—	52	2	no	—
418	C₄	—	52	2	no	—
419	C₄	#11718361	1	2	yes	—
420	C₄	D₁₃×#131	1	1	yes	characteristic
421	C₄	#11719455	1	1	yes	characteristic
422	C₄	#11719456	1	1	yes	characteristic
423	C₄	#11719458	1	1	yes	characteristic
424	C₂	—	4	1	no	—
425	C₂	—	104	1	no	—
426	C₂	#13123564	1	1	yes	characteristic
427	C₂	#13123681	1	1	yes	characteristic
428	C₂	C₂×#11718361	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂²×D₅₂
commutator	C₂×C₄×C₁₃	C₂³×C₄
Frattini	C₄²	C₂³×D₁₃
Fitting	C₁₃×#1450	C₂
socle	C₂²×C₁₃	C₂×C₄×D₄
prime radical	C₂×#6127	C₂×C₄
cosocle	C₄²×C₁₃	C₂⁴
hypercenter	#1450	D₁₃
hypocenter	C₁₃	#18019
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ #431 ◁ #1450

Complements

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

N	H ≅ G/N	type
3. #13123937	C₂	semidirect
4. #13113728	C₂	semidirect
5. #13113716	C₂	semidirect
6. #13113709	C₂	semidirect
7. C₈×Dic₅₂	C₂	semidirect
8. #13113625	C₂	semidirect
9. #13113292	C₂	semidirect
11. C₁₃×#1450	C₂	semidirect
161. #1450	D₁₃	semidirect
364. C₁₃	#18019	semidirect

Maximal subgroups

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

subgroup	index
#13124908	2
#13123965	2
#13123937	2
#13113728	2
#13113716	2
#13113709	2
C₈×Dic₅₂	2
#13113625	2
#13113292	2
#13113219	2
C₁₃×#1450	2
#18019	13