Subgroups — #18078210

Order 4864.

728 conjugacy classes of subgroups.

The subgroup lattice has 402 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11926597	C₂	1	1	yes	maximal, characteristic, complemented
2	#14563615	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#11926288	C₂	1	2	yes	maximal, complemented
4	#14561518	C₂	1	2	yes	maximal, complemented
5	C₁₉×#2856	C₂	1	1	yes	maximal, characteristic
6	#11926597	—	2	4	no	—
7	C₂×C₄⋊(C₁₉⋊C₈)	C₂²	1	2	yes	—
8	C₂×C₄⋊(C₁₉⋊C₈)	C₂²	1	2	yes	—
9	C₂×C₂²⋊(C₁₉⋊C₈)	—	2	1	no	—
10	C₂×C₂²⋊(C₁₉⋊C₈)	—	2	1	no	—
11	C₂×C₄×C₁₉⋊C₈	—	2	1	no	—
12	#11926299	—	2	1	no	—
13	#11926288	—	2	4	no	—
14	C₂×C₁₉×#127	C₂²	1	1	yes	characteristic
15	C₂×C₁₉×#121	—	2	1	no	—
16	C₂×C₁₉×#121	—	2	1	no	—
17	C₂×C₁₉×#121	C₄	1	2	yes	—
18	C₂²×C₄²×C₁₉	C₂²	1	1	yes	characteristic
19	C₁₉×#390	—	2	1	no	—
20	C₁₉×#390	—	2	1	no	—
21	C₁₉×#390	C₄	1	2	yes	—
22	C₁₉×#384	C₂²	1	1	yes	characteristic
23	C₂²×D₄×C₁₉	—	2	2	no	—
24	C₂²×D₄×C₁₉	—	2	1	no	—
25	C₂²×D₄×C₁₉	—	2	1	no	—
26	C₂²×D₄×C₁₉	C₂×C₄	1	2	yes	—
27	C₂³×C₄×C₁₉	C₂×C₄	1	1	yes	characteristic
28	C₂³×C₄×C₁₉	D₄	1	1	yes	characteristic
29	C₂³×C₄×C₁₉	D₄	1	1	yes	characteristic
30	C₁₉×#127	—	2	2	no	—
31	C₁₉×#127	—	2	2	no	—
32	C₁₉×#121	—	4	4	no	—
33	C₁₉×#121	—	4	2	no	—
34	C₁₉×#121	—	4	2	no	—
35	C₁₉×#121	—	4	4	no	—
36	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
37	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
38	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	2	yes	—
39	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
40	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
41	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
42	C₂×C₄²×C₁₉	—	2	2	no	—
43	C₂×C₄²×C₁₉	—	2	2	no	—
44	C₂×C₄²×C₁₉	C₂×C₄	1	1	yes	characteristic
45	C₂×C₄²×C₁₉	D₄	1	1	yes	characteristic
46	C₂×C₄²×C₁₉	D₄	1	1	yes	characteristic
47	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
48	C₂²×C₁₉⋊C₈	—	2	2	no	—
49	C₂²×C₁₉⋊C₈	—	2	2	no	—
50	C₂²⋊(C₁₉⋊C₈)	—	2	4	no	—
51	C₂²⋊(C₁₉⋊C₈)	—	4	2	no	—
52	C₄⋊(C₁₉⋊C₈)	—	2	2	no	—
53	C₄⋊(C₁₉⋊C₈)	—	2	2	no	—
54	C₄⋊(C₁₉⋊C₈)	—	2	2	no	—
55	C₄⋊(C₁₉⋊C₈)	D₄	1	4	yes	complemented
56	C₄×C₁₉⋊C₈	—	2	4	no	—
57	C₂⁴×C₁₉	—	2	2	no	—
58	C₂⁴×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
59	C₂×D₄×C₁₉	—	2	4	no	—
60	C₂×D₄×C₁₉	—	4	2	no	—
61	C₂×D₄×C₁₉	—	4	2	no	—
62	C₂×D₄×C₁₉	—	4	4	no	—
63	C₂×D₄×C₁₉	—	4	4	no	—
64	C₂×D₄×C₁₉	—	4	4	no	—
65	C₂×D₄×C₁₉	—	4	1	no	—
66	C₂×D₄×C₁₉	—	4	2	no	—
67	C₂×D₄×C₁₉	—	4	1	no	—
68	C₂×D₄×C₁₉	—	4	1	no	—
69	C₂×D₄×C₁₉	—	4	1	no	—
70	C₂×D₄×C₁₉	—	4	2	no	—
71	C₂×D₄×C₁₉	—	4	2	no	—
72	C₂×D₄×C₁₉	—	4	2	no	—
73	C₂²×C₄×C₁₉	—	2	2	no	—
74	C₂²×C₄×C₁₉	—	2	2	no	—
75	C₂²×C₄×C₁₉	—	2	2	no	—
76	C₂²×C₄×C₁₉	—	2	2	no	—
77	C₂²×C₄×C₁₉	—	2	1	no	—
78	C₂²×C₄×C₁₉	—	2	1	no	—
79	C₂²×C₄×C₁₉	—	2	2	no	—
80	C₂²×C₄×C₁₉	—	2	2	no	—
81	C₂²×C₄×C₁₉	—	2	2	no	—
82	C₂²×C₄×C₁₉	—	4	1	no	—
83	C₂²×C₄×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
84	C₂²×C₄×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
85	C₂²×C₄×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
86	C₂²×C₄×C₁₉	D₈	1	2	yes	—
87	C₂²×C₄×C₁₉	SD₁₆	1	2	yes	—
88	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
89	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
90	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
91	C₄⋊C₄×C₁₉	—	4	2	no	—
92	C₄⋊C₄×C₁₉	—	4	1	no	—
93	C₄⋊C₄×C₁₉	—	4	1	no	—
94	C₄⋊C₄×C₁₉	—	4	2	no	—
95	C₂²⋊C₄×C₁₉	—	4	4	no	—
96	C₂²⋊C₄×C₁₉	—	4	4	no	—
97	C₂²⋊C₄×C₁₉	—	4	4	no	—
98	C₄²×C₁₉	—	2	2	no	—
99	C₄²×C₁₉	—	2	1	no	—
100	C₄²×C₁₉	—	2	2	no	—
101	C₄²×C₁₉	—	2	1	no	—
102	C₄²×C₁₉	C₂×D₄	1	2	yes	—
103	C₄²×C₁₉	#41	1	2	yes	—
104	C₂×C₁₉⋊C₈	—	2	4	no	—
105	C₂×C₁₉⋊C₈	—	4	2	no	—
106	C₂×C₁₉⋊C₈	—	4	2	no	—
107	C₂×C₁₉⋊C₈	—	4	2	no	—
108	C₂×C₁₉⋊C₈	—	4	2	no	—
109	C₂×C₁₉⋊C₈	—	4	2	no	—
110	#9134	—	19	1	no	maximal, Sylow
111	C₂³×C₁₉	—	2	1	no	—
112	C₂³×C₁₉	—	2	1	no	—
113	C₂³×C₁₉	—	2	1	no	—
114	C₂³×C₁₉	—	2	1	no	—
115	C₂³×C₁₉	—	2	1	no	—
116	C₂³×C₁₉	—	2	1	no	—
117	C₂³×C₁₉	—	4	2	no	—
118	C₂³×C₁₉	—	4	2	no	—
119	C₂³×C₁₉	—	4	2	no	—
120	C₂³×C₁₉	—	4	2	no	—
121	C₂³×C₁₉	—	4	2	no	—
122	C₂³×C₁₉	—	4	2	no	—
123	C₂³×C₁₉	—	4	2	no	—
124	C₂³×C₁₉	#102	1	2	yes	—
125	C₂³×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
126	D₄×C₁₉	—	8	4	no	—
127	D₄×C₁₉	—	8	8	no	—
128	D₄×C₁₉	—	8	2	no	—
129	D₄×C₁₉	—	8	2	no	—
130	D₄×C₁₉	—	8	2	no	—
131	D₄×C₁₉	—	8	2	no	—
132	C₂×C₄×C₁₉	—	2	1	no	—
133	C₂×C₄×C₁₉	—	2	1	no	—
134	C₂×C₄×C₁₉	—	2	1	no	—
135	C₂×C₄×C₁₉	—	2	1	no	—
136	C₂×C₄×C₁₉	—	2	1	no	—
137	C₂×C₄×C₁₉	—	2	1	no	—
138	C₂×C₄×C₁₉	—	2	4	no	—
139	C₂×C₄×C₁₉	—	2	4	no	—
140	C₂×C₄×C₁₉	—	2	1	no	—
141	C₂×C₄×C₁₉	—	2	1	no	—
142	C₂×C₄×C₁₉	—	2	1	no	—
143	C₂×C₄×C₁₉	—	4	4	no	—
144	C₂×C₄×C₁₉	—	4	2	no	—
145	C₂×C₄×C₁₉	—	4	2	no	—
146	C₂×C₄×C₁₉	—	4	2	no	—
147	C₂×C₄×C₁₉	—	4	2	no	—
148	C₂×C₄×C₁₉	—	4	2	no	—
149	C₂×C₄×C₁₉	#100	1	2	yes	—
150	C₂×C₄×C₁₉	#102	1	2	yes	—
151	C₂×C₄×C₁₉	C₄×D₄	1	2	yes	—
152	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
153	C₂×C₄×C₁₉	#121	1	2	yes	—
154	C₂×C₄×C₁₉	#123	1	1	yes	characteristic
155	C₂×C₄×C₁₉	C₂×D₈	1	1	yes	characteristic
156	C₂×C₄×C₁₉	C₂×SD₁₆	1	1	yes	characteristic
157	C₂×C₄×C₁₉	#135	1	2	yes	—
158	C₂×C₄×C₁₉	#135	1	2	yes	—
159	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	2	yes	—
160	C₁₉⋊C₈	—	4	4	no	—
161	C₁₉⋊C₈	—	8	2	no	—
162	C₂×#431	—	19	1	no	—
163	#2856	D₁₉	1	1	yes	characteristic
164	#1797	—	19	1	no	—
165	C₂×#331	—	19	2	no	—
166	#1296	—	19	2	no	—
167	C₂²×C₁₉	—	2	2	no	—
168	C₂²×C₁₉	—	2	2	no	—
169	C₂²×C₁₉	—	2	2	no	—
170	C₂²×C₁₉	—	4	1	no	—
171	C₂²×C₁₉	—	4	1	no	—
172	C₂²×C₁₉	—	4	1	no	—
173	C₂²×C₁₉	—	4	1	no	—
174	C₂²×C₁₉	—	8	2	no	—
175	C₂²×C₁₉	—	8	2	no	—
176	C₂²×C₁₉	—	8	2	no	—
177	C₂²×C₁₉	—	8	2	no	—
178	C₂²×C₁₉	—	8	2	no	—
179	C₂²×C₁₉	—	8	2	no	—
180	C₂²×C₁₉	—	8	2	no	—
181	C₂²×C₁₉	#386	1	1	yes	characteristic
182	C₂²×C₁₉	C₂×#100	1	1	yes	characteristic
183	C₂²×C₁₉	#413	1	1	yes	characteristic
184	C₂²×C₁₉	C₂×#102	1	1	yes	characteristic
185	C₂²×C₁₉	#416	1	1	yes	characteristic
186	C₂²×C₁₉	#416	1	1	yes	characteristic
187	C₂²×C₁₉	#418	1	1	yes	characteristic
188	C₄×C₁₉	—	2	2	no	—
189	C₄×C₁₉	—	2	2	no	—
190	C₄×C₁₉	—	2	2	no	—
191	C₄×C₁₉	—	4	1	no	—
192	C₄×C₁₉	—	8	2	no	—
193	C₄×C₁₉	#449	1	2	yes	—
194	C₄×C₁₉	#465	1	2	yes	—
195	C₄×C₁₉	#466	1	2	yes	—
196	C₄×C₁₉	#482	1	2	yes	—
197	C₂×#127	C₂×D₁₉	1	1	yes	characteristic
198	C₂×#121	—	2	1	no	—
199	C₂×#121	—	2	1	no	—
200	C₂×#121	Dic₁₉	1	2	yes	—
201	C₂²×C₄²	C₂×D₁₉	1	1	yes	characteristic
202	#431	—	38	4	no	—
203	C₂×C₄⋊C₈	—	19	2	no	—
204	C₂×C₄⋊C₈	—	19	2	no	—
205	C₂×C₂²⋊C₈	—	38	1	no	—
206	C₂×C₂²⋊C₈	—	38	1	no	—
207	C₂×C₄×C₈	—	38	1	no	—
208	#390	—	2	1	no	—
209	#390	—	2	1	no	—
210	#390	Dic₁₉	1	2	yes	—
211	#384	C₂×D₁₉	1	1	yes	characteristic
212	#336	—	38	1	no	—
213	#331	—	38	4	no	—
214	C₂×C₁₉	—	4	2	no	—
215	C₂×C₁₉	—	16	2	no	—
216	C₂×C₁₉	#1540	1	1	yes	characteristic
217	C₂×C₁₉	#1543	1	1	yes	characteristic
218	C₂×C₁₉	#1545	1	1	yes	characteristic
219	C₂×C₁₉	#1553	1	1	yes	characteristic
220	C₂×C₁₉	#1875	1	1	yes	characteristic
221	C₂×C₁₉	#1893	1	1	yes	characteristic
222	C₂×C₁₉	#1900	1	1	yes	characteristic
223	C₂²×D₄	—	2	2	no	—
224	C₂²×D₄	—	2	1	no	—
225	C₂²×D₄	—	2	1	no	—
226	C₂²×D₄	C₂×Dic₁₉	1	2	yes	—
227	C₂³×C₄	C₂×Dic₁₉	1	1	yes	characteristic
228	C₂³×C₄	C₂²⋊D₁₉	1	1	yes	characteristic
229	C₂³×C₄	C₂²⋊D₁₉	1	1	yes	characteristic
230	C₂²×C₈	—	38	2	no	—
231	C₂²×C₈	—	38	2	no	—
232	#127	—	2	2	no	—
233	#127	—	2	2	no	—
234	#121	—	4	4	no	—
235	#121	—	4	2	no	—
236	#121	—	4	2	no	—
237	#121	—	4	4	no	—
238	C₂×C₄⋊C₄	—	2	1	no	—
239	C₂×C₄⋊C₄	—	2	1	no	—
240	C₂×C₄⋊C₄	C₂×Dic₁₉	1	2	yes	—
241	C₂×C₂²⋊C₄	—	2	2	no	—
242	C₂×C₂²⋊C₄	—	2	2	no	—
243	C₂×C₂²⋊C₄	—	2	2	no	—
244	C₂×C₄²	—	2	2	no	—
245	C₂×C₄²	—	2	2	no	—
246	C₂×C₄²	C₂×Dic₁₉	1	1	yes	characteristic
247	C₂×C₄²	C₂²⋊D₁₉	1	1	yes	characteristic
248	C₂×C₄²	C₂²⋊D₁₉	1	1	yes	characteristic
249	C₂×C₄²	C₂²×D₁₉	1	1	yes	characteristic
250	C₄⋊C₈	—	19	4	no	—
251	C₄⋊C₈	—	38	2	no	—
252	C₄⋊C₈	—	38	2	no	—
253	C₄⋊C₈	—	38	2	no	—
254	C₂²⋊C₈	—	38	4	no	—
255	C₂²⋊C₈	—	76	2	no	—
256	C₄×C₈	—	38	4	no	—
257	C₁₉	#9134	1	1	yes	characteristic, complemented, Sylow
258	C₂⁴	—	2	2	no	—
259	C₂⁴	C₂²⋊Dic₁₉	1	1	yes	characteristic
260	C₂×D₄	—	2	4	no	—
261	C₂×D₄	—	4	2	no	—
262	C₂×D₄	—	4	2	no	—
263	C₂×D₄	—	4	4	no	—
264	C₂×D₄	—	4	4	no	—
265	C₂×D₄	—	4	4	no	—
266	C₂×D₄	—	4	1	no	—
267	C₂×D₄	—	4	2	no	—
268	C₂×D₄	—	4	1	no	—
269	C₂×D₄	—	4	1	no	—
270	C₂×D₄	—	4	1	no	—
271	C₂×D₄	—	4	2	no	—
272	C₂×D₄	—	4	2	no	—
273	C₂×D₄	—	4	2	no	—
274	C₂²×C₄	—	2	2	no	—
275	C₂²×C₄	—	2	2	no	—
276	C₂²×C₄	—	2	2	no	—
277	C₂²×C₄	—	2	2	no	—
278	C₂²×C₄	—	2	1	no	—
279	C₂²×C₄	—	2	1	no	—
280	C₂²×C₄	—	2	2	no	—
281	C₂²×C₄	—	2	2	no	—
282	C₂²×C₄	—	2	2	no	—
283	C₂²×C₄	—	4	1	no	—
284	C₂²×C₄	#64525	1	2	yes	—
285	C₂²×C₄	#64526	1	2	yes	—
286	C₂²×C₄	C₂²⋊Dic₁₉	1	1	yes	characteristic
287	C₂²×C₄	C₂²⋊Dic₁₉	1	1	yes	characteristic
288	C₂²×C₄	C₂²⋊Dic₁₉	1	1	yes	characteristic
289	C₂²×C₄	C₂²×Dic₁₉	1	1	yes	characteristic
290	C₂²×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
291	C₂²×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
292	C₂×C₈	—	38	4	no	—
293	C₂×C₈	—	76	2	no	—
294	C₂×C₈	—	76	2	no	—
295	C₂×C₈	—	76	2	no	—
296	C₂×C₈	—	76	2	no	—
297	C₂×C₈	—	76	2	no	—
298	C₄⋊C₄	—	4	2	no	—
299	C₄⋊C₄	—	4	1	no	—
300	C₄⋊C₄	—	4	2	no	—
301	C₄⋊C₄	—	4	1	no	—
302	C₂²⋊C₄	—	4	4	no	—
303	C₂²⋊C₄	—	4	4	no	—
304	C₂²⋊C₄	—	4	4	no	—
305	C₄²	—	2	2	no	—
306	C₄²	—	2	1	no	—
307	C₄²	—	2	1	no	—
308	C₄²	—	2	2	no	—
309	C₄²	D₄×D₁₉	1	2	yes	—
310	C₄²	#64543	1	2	yes	—
311	C₂³	—	2	1	no	—
312	C₂³	—	2	1	no	—
313	C₂³	—	2	1	no	—
314	C₂³	—	2	1	no	—
315	C₂³	—	2	1	no	—
316	C₂³	—	2	1	no	—
317	C₂³	—	4	2	no	—
318	C₂³	—	4	2	no	—
319	C₂³	—	4	2	no	—
320	C₂³	—	4	2	no	—
321	C₂³	—	4	2	no	—
322	C₂³	—	4	2	no	—
323	C₂³	—	4	2	no	—
324	C₂³	#10597289	1	2	yes	—
325	C₂³	C₂×C₂²⋊Dic₁₉	1	1	yes	characteristic
326	D₄	—	8	4	no	—
327	D₄	—	8	8	no	—
328	D₄	—	8	2	no	—
329	D₄	—	8	2	no	—
330	D₄	—	8	2	no	—
331	D₄	—	8	2	no	—
332	C₂×C₄	—	2	1	no	—
333	C₂×C₄	—	2	1	no	—
334	C₂×C₄	—	2	1	no	—
335	C₂×C₄	—	2	1	no	—
336	C₂×C₄	—	2	1	no	—
337	C₂×C₄	—	2	1	no	—
338	C₂×C₄	—	2	4	no	—
339	C₂×C₄	—	2	4	no	—
340	C₂×C₄	—	2	1	no	—
341	C₂×C₄	—	2	1	no	—
342	C₂×C₄	—	2	1	no	—
343	C₂×C₄	—	4	4	no	—
344	C₂×C₄	—	4	2	no	—
345	C₂×C₄	—	4	2	no	—
346	C₂×C₄	—	4	2	no	—
347	C₂×C₄	—	4	2	no	—
348	C₂×C₄	—	4	2	no	—
349	C₂×C₄	#10597289	1	2	yes	—
350	C₂×C₄	#10597290	1	2	yes	—
351	C₂×C₄	C₂×#64525	1	1	yes	characteristic
352	C₂×C₄	#10597378	1	2	yes	—
353	C₂×C₄	C₂×#64526	1	1	yes	characteristic
354	C₂×C₄	D₄×Dic₁₉	1	2	yes	—
355	C₂×C₄	#10597381	1	1	yes	characteristic
356	C₂×C₄	#10597383	1	1	yes	characteristic
357	C₂×C₄	#10597385	1	2	yes	—
358	C₂×C₄	#10597396	1	2	yes	—
359	C₂×C₄	#10597396	1	2	yes	—
360	C₈	—	76	4	no	—
361	C₈	—	152	2	no	—
362	C₂²	—	2	2	no	—
363	C₂²	—	2	2	no	—
364	C₂²	—	2	2	no	—
365	C₂²	—	4	1	no	—
366	C₂²	—	4	1	no	—
367	C₂²	—	4	1	no	—
368	C₂²	—	4	1	no	—
369	C₂²	—	8	2	no	—
370	C₂²	—	8	2	no	—
371	C₂²	—	8	2	no	—
372	C₂²	—	8	2	no	—
373	C₂²	—	8	2	no	—
374	C₂²	—	8	2	no	—
375	C₂²	—	8	2	no	—
376	C₂²	#11926424	1	1	yes	characteristic
377	C₂²	C₂×#10597290	1	1	yes	characteristic
378	C₂²	#11926528	1	1	yes	characteristic
379	C₂²	C₂×#10597289	1	1	yes	characteristic
380	C₂²	#11926540	1	1	yes	characteristic
381	C₂²	#11926540	1	1	yes	characteristic
382	C₂²	#11926549	1	1	yes	characteristic
383	C₄	—	2	2	no	—
384	C₄	—	2	2	no	—
385	C₄	—	2	2	no	—
386	C₄	—	4	1	no	—
387	C₄	—	8	2	no	—
388	C₄	#11926687	1	2	yes	—
389	C₄	#11926771	1	2	yes	—
390	C₄	#11926778	1	2	yes	—
391	C₄	#11926865	1	2	yes	—
392	C₂	—	4	2	no	—
393	C₂	—	16	2	no	—
394	C₂	#14562284	1	1	yes	characteristic
395	C₂	#14562297	1	1	yes	characteristic
396	C₂	#14562303	1	1	yes	characteristic
397	C₂	#14562340	1	1	yes	characteristic
398	C₂	#14563958	1	1	yes	characteristic
399	C₂	#14564064	1	1	yes	characteristic
400	C₂	#14564099	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂×C₂²⋊Dic₁₉
commutator	C₂²×C₄×C₁₉	C₂²×C₄
Frattini	C₂×C₄²	C₂²×D₁₉
Fitting, prime radical	C₁₉×#2856	C₂
socle	C₂³×C₁₉	C₂×C₂²⋊C₄
cosocle	C₂×C₄²×C₁₉	C₂³
hypercenter	#2856	D₁₉
hypocenter	C₁₉	#9134
LCS	G ▷ C₂²×C₄×C₁₉ ▷ C₂²×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂³ ◁ C₂²×C₄² ◁ #2856

Complements

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

N	H ≅ G/N	type
1. C₂×#11926597	C₂	semidirect
2. #14563615	C₂	semidirect
3. C₂×#11926288	C₂	semidirect
4. #14561518	C₂	semidirect
55. C₄⋊(C₁₉⋊C₈)	D₄	semidirect
257. C₁₉	#9134	semidirect

Maximal subgroups

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

subgroup	index
C₂×#11926597	2
#14563615	2
C₂×#11926288	2
#14561518	2
C₁₉×#2856	2
#9134	19