Subgroups — #18080717

Order 4864.

460 conjugacy classes of subgroups.

The subgroup lattice has 396 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14564428	C₂	1	1	yes	maximal, characteristic
2	C₄⋊C₄×C₁₉⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
3	C₄×#10597266	C₂	1	1	yes	maximal, characteristic
4	C₂×#11926294	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#11926273	C₂	1	1	yes	maximal, characteristic
6	C₁₉⋊#1273	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#1279	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₄×D₇₆	C₂²	1	1	yes	characteristic
9	C₂×C₄⋊(C₁₉⋊C₈)	C₂²	1	1	yes	characteristic
10	C₂×#10597266	C₄	1	1	yes	characteristic
11	C₂×#10597266	C₄	1	1	yes	characteristic
12	C₂×(C₂×D₁₉)⋊C₈	—	2	1	no	—
13	C₂×(C₂×D₁₉)⋊C₈	—	2	1	no	—
14	C₂×C₄×C₁₉⋊C₈	—	2	1	no	—
15	C₂×C₄×C₁₉⋊C₈	C₂²	1	1	yes	characteristic
16	C₂×C₄×C₁₉⋊C₈	C₂²	1	1	yes	characteristic
17	#11926306	C₄	1	1	yes	characteristic
18	#11926306	C₄	1	1	yes	characteristic
19	#11926299	—	2	1	no	—
20	#11926294	—	2	2	no	—
21	#11926273	—	2	2	no	—
22	C₂×C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
23	C₂×C₄×C₈×C₁₉	C₂²	1	1	yes	characteristic
24	C₄×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
25	C₂²×D₇₆	C₂×C₄	1	1	yes	characteristic
26	C₂²×C₄×D₁₉	—	2	1	no	—
27	C₂²×C₈×C₁₉	—	2	1	no	—
28	C₂²×C₈×C₁₉	—	2	1	no	—
29	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	1	yes	characteristic
30	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	1	yes	characteristic
31	C₂×C₄²×C₁₉	—	2	1	no	—
32	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
33	C₂×(C₂×D₁₉)⋊C₄	—	2	1	no	—
34	C₂×C₄⋊Dic₁₉	C₂×C₄	1	1	yes	characteristic
35	C₂²×C₁₉⋊C₈	—	2	1	no	—
36	C₂²×C₁₉⋊C₈	C₂×C₄	1	1	yes	characteristic
37	C₂²×C₁₉⋊C₈	C₂×C₄	1	1	yes	characteristic
38	C₂²×C₁₉⋊C₈	D₄	1	1	yes	characteristic
39	C₂²×C₁₉⋊C₈	D₄	1	1	yes	characteristic
40	C₄×D₇₆	—	2	1	no	—
41	C₄×D₇₆	—	2	1	no	—
42	C₄×D₇₆	—	2	1	no	—
43	C₄×D₇₆	—	2	1	no	—
44	C₁₉×C₄⋊C₈	—	2	1	no	—
45	C₁₉×C₄⋊C₈	—	2	1	no	—
46	C₄×C₈×C₁₉	—	2	1	no	—
47	C₄×C₈×C₁₉	—	2	1	no	—
48	C₁₉×#95	—	2	1	no	—
49	(C₂×D₁₉)⋊C₈	—	4	2	no	—
50	(C₂×D₁₉)⋊C₈	—	4	2	no	—
51	#10597266	—	2	2	no	—
52	#10597266	C₈	1	4	yes	complemented
53	C₄⋊(C₁₉⋊C₈)	—	2	1	no	—
54	C₄⋊(C₁₉⋊C₈)	D₄	1	2	yes	—
55	C₄×C₁₉⋊C₈	—	2	1	no	—
56	C₄×C₁₉⋊C₈	—	2	1	no	—
57	C₄×C₁₉⋊C₈	—	2	1	no	—
58	C₄×C₁₉⋊C₈	—	2	1	no	—
59	C₄×C₁₉⋊C₈	—	4	2	no	—
60	C₂³×D₁₉	—	2	1	no	—
61	C₂²×C₄×C₁₉	—	2	1	no	—
62	C₂²×C₄×C₁₉	—	2	1	no	—
63	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
64	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
65	C₂²×C₄×C₁₉	#41	1	1	yes	characteristic
66	C₂²×Dic₁₉	—	2	1	no	—
67	C₂×D₇₆	—	2	1	no	—
68	C₂×D₇₆	—	2	1	no	—
69	C₂×D₇₆	—	2	1	no	—
70	C₂×D₇₆	—	2	1	no	—
71	C₂×D₇₆	—	2	1	no	—
72	C₂×D₇₆	C₂×C₈	1	2	yes	—
73	C₂×C₄×D₁₉	—	4	1	no	—
74	C₂×C₄×D₁₉	—	4	1	no	—
75	C₂×C₄×D₁₉	—	4	1	no	—
76	C₂×C₄×D₁₉	—	4	1	no	—
77	C₂×C₄×D₁₉	—	4	1	no	—
78	C₂×C₄×D₁₉	—	4	1	no	—
79	C₂×C₈×C₁₉	—	2	2	no	—
80	C₂×C₈×C₁₉	—	4	1	no	—
81	C₂×C₈×C₁₉	—	4	1	no	—
82	C₂×C₈×C₁₉	—	4	1	no	—
83	C₂×C₈×C₁₉	—	4	1	no	—
84	C₂×C₈×C₁₉	—	4	1	no	—
85	C₄⋊C₄×C₁₉	—	2	1	no	—
86	C₄⋊C₄×C₁₉	—	2	1	no	—
87	C₄⋊C₄×C₁₉	C₂×C₈	1	2	yes	—
88	C₄⋊C₄×C₁₉	M₁₆	1	2	yes	—
89	C₄²×C₁₉	—	4	1	no	—
90	C₄²×C₁₉	—	4	1	no	—
91	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
92	C₄²×C₁₉	#41	1	1	yes	characteristic
93	C₄²×C₁₉	#41	1	1	yes	characteristic
94	C₄²×C₁₉	#41	1	1	yes	characteristic
95	(C₂×D₁₉)⋊C₄	—	4	1	no	—
96	(C₂×D₁₉)⋊C₄	—	4	1	no	—
97	C₄⋊Dic₁₉	—	2	1	no	—
98	C₄⋊Dic₁₉	—	2	1	no	—
99	C₂×C₁₉⋊C₈	—	2	1	no	—
100	C₂×C₁₉⋊C₈	—	2	1	no	—
101	C₂×C₁₉⋊C₈	—	2	1	no	—
102	C₂×C₁₉⋊C₈	—	2	1	no	—
103	C₂×C₁₉⋊C₈	—	2	1	no	—
104	C₂×C₁₉⋊C₈	—	2	2	no	—
105	C₂×C₁₉⋊C₈	—	2	1	no	—
106	C₂×C₁₉⋊C₈	—	2	1	no	—
107	C₂×C₁₉⋊C₈	—	2	1	no	—
108	C₂×C₁₉⋊C₈	—	2	1	no	—
109	C₂×C₁₉⋊C₈	—	2	1	no	—
110	C₂×C₁₉⋊C₈	—	4	1	no	—
111	C₂×C₁₉⋊C₈	—	4	1	no	—
112	C₂×C₁₉⋊C₈	C₂×C₈	1	2	yes	—
113	C₂×C₁₉⋊C₈	SD₁₆	1	2	yes	—
114	#9542	—	19	1	no	maximal, Sylow
115	C₂³×C₁₉	C₄×D₄	1	1	yes	characteristic
116	C₂²×D₁₉	—	2	2	no	—
117	C₂²×D₁₉	—	4	1	no	—
118	C₂²×D₁₉	—	4	1	no	—
119	C₂²×D₁₉	—	4	1	no	—
120	C₂²×D₁₉	—	4	1	no	—
121	C₂²×D₁₉	—	4	1	no	—
122	C₂²×D₁₉	—	4	1	no	—
123	C₂×C₄×C₁₉	—	2	1	no	—
124	C₂×C₄×C₁₉	—	2	1	no	—
125	C₂×C₄×C₁₉	—	2	2	no	—
126	C₂×C₄×C₁₉	—	2	2	no	—
127	C₂×C₄×C₁₉	—	4	1	no	—
128	C₂×C₄×C₁₉	—	4	1	no	—
129	C₂×C₄×C₁₉	—	4	1	no	—
130	C₂×C₄×C₁₉	—	4	1	no	—
131	C₂×C₄×C₁₉	#117	1	1	yes	characteristic
132	C₂×C₄×C₁₉	C₄×D₄	1	1	yes	characteristic
133	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
134	C₂×C₄×C₁₉	#123	1	1	yes	characteristic
135	C₂×C₄×C₁₉	#124	1	1	yes	characteristic
136	C₂×C₄×C₁₉	#126	1	1	yes	characteristic
137	C₂×C₄×C₁₉	C₂²×C₈	1	1	yes	characteristic
138	C₂×C₄×C₁₉	C₂×M₁₆	1	1	yes	characteristic
139	C₂×C₄×C₁₉	#131	1	1	yes	characteristic
140	C₂×C₄×C₁₉	#131	1	1	yes	characteristic
141	C₂×C₄×C₁₉	C₂×SD₁₆	1	1	yes	characteristic
142	C₂×C₄×C₁₉	#135	1	1	yes	characteristic
143	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
144	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
145	C₂×Dic₁₉	—	4	1	no	—
146	C₂×Dic₁₉	—	4	1	no	—
147	C₂×Dic₁₉	—	4	1	no	—
148	D₇₆	—	2	2	no	—
149	D₇₆	—	2	2	no	—
150	D₇₆	—	4	1	no	—
151	D₇₆	—	4	1	no	—
152	C₄×D₁₉	—	8	1	no	—
153	C₄×D₁₉	—	8	1	no	—
154	C₄×D₁₉	—	8	1	no	—
155	C₄×D₁₉	—	8	1	no	—
156	C₈×C₁₉	—	4	2	no	—
157	C₈×C₁₉	—	8	1	no	—
158	C₁₉⋊C₈	—	2	2	no	—
159	C₁₉⋊C₈	—	2	2	no	—
160	C₁₉⋊C₈	—	4	1	no	—
161	C₁₉⋊C₈	—	4	2	no	—
162	C₁₉⋊C₈	—	4	1	no	—
163	#1954	—	19	1	no	—
164	C₈×C₄⋊C₄	—	19	1	no	—
165	C₄×#102	—	19	1	no	—
166	C₂×#334	—	19	1	no	—
167	C₂×D₄⋊C₈	—	19	1	no	—
168	#1279	D₁₉	1	1	yes	characteristic, complemented
169	#1273	—	19	1	no	—
170	C₂²×C₁₉	#388	1	1	yes	characteristic
171	C₂²×C₁₉	C₈×D₄	1	1	yes	characteristic
172	C₂²×C₁₉	#435	1	1	yes	characteristic
173	C₂²×C₁₉	C₄×SD₁₆	1	1	yes	characteristic
174	C₂²×C₁₉	#442	1	1	yes	characteristic
175	C₂²×C₁₉	#443	1	1	yes	characteristic
176	C₂²×C₁₉	#444	1	1	yes	characteristic
177	C₂×D₁₉	—	4	2	no	—
178	C₂×D₁₉	—	4	2	no	—
179	C₂×D₁₉	—	4	2	no	—
180	C₂×D₁₉	—	8	1	no	—
181	C₂×D₁₉	—	8	1	no	—
182	C₂×D₁₉	—	8	1	no	—
183	C₂×D₁₉	—	8	1	no	—
184	C₄×C₁₉	—	2	1	no	—
185	C₄×C₁₉	—	2	1	no	—
186	C₄×C₁₉	—	4	2	no	—
187	C₄×C₁₉	—	4	2	no	—
188	C₄×C₁₉	#431	1	1	yes	characteristic
189	C₄×C₁₉	#433	1	1	yes	characteristic
190	C₄×C₁₉	C₈×D₄	1	1	yes	characteristic
191	C₄×C₁₉	#436	1	1	yes	characteristic
192	C₄×C₁₉	#460	1	1	yes	characteristic
193	C₄×C₁₉	#463	1	1	yes	characteristic
194	C₄×C₁₉	#481	1	1	yes	characteristic
195	C₄×C₁₉	#482	1	1	yes	characteristic
196	Dic₁₉	—	8	1	no	—
197	C₂×C₄×D₄	—	19	1	no	—
198	C₂×C₄⋊C₈	—	19	1	no	—
199	C₂×C₄⋊C₈	C₂×D₁₉	1	1	yes	characteristic
200	C₂×#102	—	19	1	no	—
201	C₂×#102	—	19	1	no	—
202	C₂×C₂²⋊C₈	—	38	1	no	—
203	C₂×C₂²⋊C₈	—	38	1	no	—
204	C₂×C₄×C₈	—	19	1	no	—
205	C₂×C₄×C₈	—	19	1	no	—
206	C₂×C₄×C₈	—	38	1	no	—
207	C₂×C₄×C₈	C₂×D₁₉	1	1	yes	characteristic
208	C₄×C₄⋊C₄	C₂×D₁₉	1	1	yes	characteristic
209	#340	—	19	1	no	—
210	#340	—	19	1	no	—
211	#336	—	38	1	no	—
212	#334	—	38	2	no	—
213	D₄⋊C₈	—	38	2	no	—
214	C₂×C₁₉	C₈×SD₁₆	1	1	yes	characteristic
215	C₂×C₁₉	#1580	1	1	yes	characteristic
216	C₂×C₁₉	#1583	1	1	yes	characteristic
217	C₂×C₁₉	#1586	1	1	yes	characteristic
218	C₂×C₁₉	#1923	1	1	yes	characteristic
219	C₂×C₁₉	#1926	1	1	yes	characteristic
220	C₂×C₁₉	#1929	1	1	yes	characteristic
221	D₁₉	—	8	2	no	—
222	C₂²×D₄	—	19	1	no	—
223	C₂³×C₄	—	38	1	no	—
224	C₂²×C₈	—	2	1	no	—
225	C₂²×C₈	—	2	1	no	—
226	C₂²×C₈	—	19	1	no	—
227	C₂²×C₈	—	19	1	no	—
228	C₂²×C₈	—	19	1	no	—
229	C₂²×C₈	—	19	1	no	—
230	C₂²×C₈	—	38	1	no	—
231	C₄×D₄	—	38	1	no	—
232	C₄×D₄	—	38	1	no	—
233	C₄×D₄	—	38	1	no	—
234	C₄×D₄	—	38	1	no	—
235	C₂×C₄⋊C₄	—	19	1	no	—
236	C₂×C₄⋊C₄	C₄×D₁₉	1	1	yes	characteristic
237	C₂×C₄⋊C₄	C₄×D₁₉	1	1	yes	characteristic
238	C₂×C₂²⋊C₄	—	38	1	no	—
239	C₂×C₄²	—	2	1	no	—
240	C₂×C₄²	C₂²×D₁₉	1	1	yes	characteristic
241	C₄⋊C₈	—	2	1	no	—
242	C₄⋊C₈	—	2	1	no	—
243	C₄⋊C₈	—	19	2	no	—
244	C₄⋊C₈	—	38	1	no	—
245	#102	—	19	4	no	—
246	#102	—	38	2	no	—
247	C₂²⋊C₈	—	76	2	no	—
248	C₂²⋊C₈	—	76	2	no	—
249	C₄×C₈	—	2	1	no	—
250	C₄×C₈	—	2	1	no	—
251	C₄×C₈	—	38	1	no	—
252	C₄×C₈	—	38	1	no	—
253	C₄×C₈	—	38	1	no	—
254	C₄×C₈	—	38	1	no	—
255	C₄×C₈	—	76	2	no	—
256	#95	—	2	1	no	—
257	C₁₉	#9542	1	1	yes	characteristic, complemented, Sylow
258	C₂⁴	—	38	1	no	—
259	C₂×D₄	—	19	2	no	—
260	C₂×D₄	—	38	1	no	—
261	C₂×D₄	—	38	1	no	—
262	C₂×D₄	—	38	1	no	—
263	C₂×D₄	—	38	1	no	—
264	C₂×D₄	—	38	1	no	—
265	C₂²×C₄	—	2	1	no	—
266	C₂²×C₄	—	2	1	no	—
267	C₂²×C₄	—	38	1	no	—
268	C₂²×C₄	—	76	1	no	—
269	C₂²×C₄	—	76	1	no	—
270	C₂²×C₄	—	76	1	no	—
271	C₂²×C₄	—	76	1	no	—
272	C₂²×C₄	—	76	1	no	—
273	C₂²×C₄	—	76	1	no	—
274	C₂²×C₄	C₂×C₄×D₁₉	1	1	yes	characteristic
275	C₂²×C₄	D₄×D₁₉	1	1	yes	characteristic
276	C₂²×C₄	#64543	1	1	yes	characteristic
277	C₂×C₈	—	2	2	no	—
278	C₂×C₈	—	4	1	no	—
279	C₂×C₈	—	4	1	no	—
280	C₂×C₈	—	4	1	no	—
281	C₂×C₈	—	4	1	no	—
282	C₂×C₈	—	4	1	no	—
283	C₂×C₈	—	19	2	no	—
284	C₂×C₈	—	19	2	no	—
285	C₂×C₈	—	38	1	no	—
286	C₂×C₈	—	38	1	no	—
287	C₂×C₈	—	38	1	no	—
288	C₂×C₈	—	38	1	no	—
289	C₂×C₈	—	38	2	no	—
290	C₂×C₈	—	38	1	no	—
291	C₂×C₈	—	38	1	no	—
292	C₂×C₈	—	38	1	no	—
293	C₂×C₈	—	38	1	no	—
294	C₂×C₈	—	38	1	no	—
295	C₂×C₈	—	38	1	no	—
296	C₂×C₈	—	76	1	no	—
297	C₂×C₈	—	76	1	no	—
298	C₄⋊C₄	—	2	1	no	—
299	C₄⋊C₄	—	2	1	no	—
300	C₄⋊C₄	—	38	1	no	—
301	C₄⋊C₄	—	38	1	no	—
302	C₄⋊C₄	C₈×D₁₉	1	2	yes	—
303	C₄⋊C₄	#64515	1	2	yes	—
304	C₂²⋊C₄	—	76	1	no	—
305	C₂²⋊C₄	—	76	1	no	—
306	C₄²	—	4	1	no	—
307	C₄²	—	4	1	no	—
308	C₄²	#64541	1	1	yes	characteristic
309	C₄²	#64541	1	1	yes	characteristic
310	C₄²	D₄×D₁₉	1	1	yes	characteristic
311	C₄²	#64545	1	1	yes	characteristic
312	C₂³	—	38	2	no	—
313	C₂³	—	76	1	no	—
314	C₂³	—	76	1	no	—
315	C₂³	—	76	1	no	—
316	C₂³	—	76	1	no	—
317	C₂³	—	76	1	no	—
318	C₂³	—	76	1	no	—
319	C₂³	(C₂²⋊D₁₉)⋊C₄	1	1	yes	characteristic
320	D₄	—	38	2	no	—
321	D₄	—	38	2	no	—
322	D₄	—	76	1	no	—
323	D₄	—	76	1	no	—
324	C₂×C₄	—	2	1	no	—
325	C₂×C₄	—	2	1	no	—
326	C₂×C₄	—	2	2	no	—
327	C₂×C₄	—	2	2	no	—
328	C₂×C₄	—	4	1	no	—
329	C₂×C₄	—	4	1	no	—
330	C₂×C₄	—	4	1	no	—
331	C₂×C₄	—	4	1	no	—
332	C₂×C₄	—	76	1	no	—
333	C₂×C₄	—	76	1	no	—
334	C₂×C₄	—	76	1	no	—
335	C₂×C₄	—	152	1	no	—
336	C₂×C₄	—	152	1	no	—
337	C₂×C₄	—	152	1	no	—
338	C₂×C₄	—	152	1	no	—
339	C₂×C₄	#10597318	1	1	yes	characteristic
340	C₂×C₄	#10597330	1	1	yes	characteristic
341	C₂×C₄	#10597331	1	1	yes	characteristic
342	C₂×C₄	#10597339	1	1	yes	characteristic
343	C₂×C₄	#10597340	1	1	yes	characteristic
344	C₂×C₄	#10597344	1	1	yes	characteristic
345	C₂×C₄	C₂×C₈×D₁₉	1	1	yes	characteristic
346	C₂×C₄	C₂×#64515	1	1	yes	characteristic
347	C₂×C₄	#10597353	1	1	yes	characteristic
348	C₂×C₄	#10597353	1	1	yes	characteristic
349	C₂×C₄	#10597357	1	1	yes	characteristic
350	C₂×C₄	SD₁₆×D₁₉	1	1	yes	characteristic
351	C₂×C₄	#10597360	1	1	yes	characteristic
352	C₂×C₄	#10597365	1	1	yes	characteristic
353	C₈	—	4	2	no	—
354	C₈	—	8	1	no	—
355	C₈	—	38	2	no	—
356	C₈	—	38	2	no	—
357	C₈	—	76	1	no	—
358	C₈	—	76	1	no	—
359	C₈	—	76	2	no	—
360	C₂²	—	76	2	no	—
361	C₂²	—	76	2	no	—
362	C₂²	—	76	2	no	—
363	C₂²	—	152	1	no	—
364	C₂²	—	152	1	no	—
365	C₂²	—	152	1	no	—
366	C₂²	—	152	1	no	—
367	C₂²	#11926433	1	1	yes	characteristic
368	C₂²	(C₂²⋊D₁₉)⋊C₈	1	1	yes	characteristic
369	C₂²	#11926612	1	1	yes	characteristic
370	C₂²	#11926629	1	1	yes	characteristic
371	C₂²	#11926653	1	1	yes	characteristic
372	C₂²	#11926658	1	1	yes	characteristic
373	C₂²	#11926663	1	1	yes	characteristic
374	C₄	—	2	1	no	—
375	C₄	—	2	1	no	—
376	C₄	—	4	2	no	—
377	C₄	—	4	2	no	—
378	C₄	—	152	1	no	—
379	C₄	#11926595	1	1	yes	characteristic
380	C₄	#11926606	1	1	yes	characteristic
381	C₄	#11926609	1	1	yes	characteristic
382	C₄	#11926621	1	1	yes	characteristic
383	C₄	#11926743	1	1	yes	characteristic
384	C₄	#11926762	1	1	yes	characteristic
385	C₄	#11926864	1	1	yes	characteristic
386	C₄	#11926871	1	1	yes	characteristic
387	C₂	—	152	2	no	—
388	C₂	#14562432	1	1	yes	characteristic
389	C₂	#14562456	1	1	yes	characteristic
390	C₂	#14562475	1	1	yes	characteristic
391	C₂	#14562496	1	1	yes	characteristic
392	C₂	#14564239	1	1	yes	characteristic
393	C₂	#14564260	1	1	yes	characteristic
394	C₂	#14564281	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	D₄×D₁₉
commutator	C₂×C₄×C₁₉	C₂²×C₈
Frattini	C₂×C₄²	C₂²×D₁₉
Fitting	C₁₉×#1279	C₂
socle	C₂³×C₁₉	C₄×D₄
prime radical	C₂²×D₇₆	C₂×C₄
cosocle	C₂×C₄²×C₁₉	C₂³
hypercenter	#1279	D₁₉
hypocenter	C₁₉	#9542
LCS	G ▷ C₂×C₄×C₁₉ ▷ C₂×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂²×C₄ ◁ C₂×C₄² ◁ #1279

Complements

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

N	H ≅ G/N	type
2. C₄⋊C₄×C₁₉⋊C₈	C₂	semidirect
4. C₂×#11926294	C₂	semidirect
6. C₁₉⋊#1273	C₂	semidirect
7. C₁₉×#1279	C₂	semidirect
52. #10597266	C₈	semidirect
168. #1279	D₁₉	semidirect
257. C₁₉	#9542	semidirect

Maximal subgroups

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

subgroup	index
#14564428	2
C₄⋊C₄×C₁₉⋊C₈	2
C₄×#10597266	2
C₂×#11926294	2
C₂×#11926273	2
C₁₉⋊#1273	2
C₁₉×#1279	2
#9542	19