Subgroups — #18090976

Order 4864.

734 conjugacy classes of subgroups.

The subgroup lattice has 404 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14566253	C₂	1	1	yes	maximal, characteristic
2	C₂×#11926313	C₂	1	1	yes	maximal, characteristic
3	#14563354	C₂	1	2	yes	maximal
4	C₂×#11926304	C₂	1	2	yes	maximal
5	C₁₉×C₄⋊#95	C₂	1	1	yes	maximal, characteristic
6	C₂²×#64520	C₂²	1	2	yes	—
7	C₂×#10597372	C₂²	1	2	yes	—
8	#11926443	—	2	2	no	—
9	#11926443	—	2	2	no	—
10	#11926404	—	2	2	no	—
11	#11926313	C₄	1	4	yes	complemented
12	#11926306	—	2	2	no	—
13	#11926306	—	2	2	no	—
14	#11926304	—	2	4	no	—
15	C₂²×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
16	C₂²×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
17	C₂²×C₄²×C₁₉	C₂²	1	1	yes	characteristic
18	C₂×C₁₉×#95	—	2	2	no	—
19	C₂³×C₄×C₁₉	—	2	1	no	—
20	C₂³×C₄×C₁₉	—	2	1	no	—
21	C₂³×C₄×C₁₉	D₄	1	2	yes	—
22	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
23	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
24	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
25	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
26	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
27	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
28	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	2	yes	—
29	C₂×C₄⋊C₄×C₁₉	Q₈	1	2	yes	—
30	C₂×C₄⋊C₄×C₁₉	Q₈	1	2	yes	—
31	C₂×C₄²×C₁₉	—	2	2	no	—
32	C₂×C₄²×C₁₉	—	2	2	no	—
33	C₂×C₄²×C₁₉	—	2	1	no	—
34	C₂×C₄²×C₁₉	D₄	1	2	yes	—
35	C₂×C₂²⋊Dic₁₉	—	2	2	no	—
36	#10597372	—	2	2	no	—
37	#10597372	—	2	2	no	—
38	#10597372	—	2	2	no	—
39	#10597372	—	2	2	no	—
40	C₂×C₄⋊Dic₁₉	—	2	2	no	—
41	C₂×C₄⋊Dic₁₉	—	2	2	no	—
42	C₂×C₄⋊Dic₁₉	D₄	1	2	yes	—
43	C₂×C₄⋊Dic₁₉	D₄	1	2	yes	—
44	C₂×C₄×Dic₁₉	—	2	2	no	—
45	C₂×#64520	—	2	2	no	—
46	C₂×#64520	—	2	2	no	—
47	C₂×#64520	—	2	2	no	—
48	C₂×#64520	—	2	2	no	—
49	C₂×#64520	—	2	2	no	—
50	C₂×#64520	C₂×C₄	1	4	yes	—
51	C₂²×C₁₉⋊C₈	—	2	2	no	—
52	C₁₉×#95	—	4	4	no	—
53	C₁₉⋊#95	—	2	4	no	—
54	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
55	C₂²×C₄×C₁₉	—	2	2	no	—
56	C₂²×C₄×C₁₉	—	2	2	no	—
57	C₂²×C₄×C₁₉	—	2	2	no	—
58	C₂²×C₄×C₁₉	—	2	2	no	—
59	C₂²×C₄×C₁₉	—	2	2	no	—
60	C₂²×C₄×C₁₉	—	2	2	no	—
61	C₂²×C₄×C₁₉	—	4	1	no	—
62	C₂²×C₄×C₁₉	—	4	1	no	—
63	C₂²×C₄×C₁₉	—	4	1	no	—
64	C₂²×C₄×C₁₉	—	4	1	no	—
65	C₂²×C₄×C₁₉	—	4	2	no	—
66	C₂²×C₄×C₁₉	—	4	2	no	—
67	C₂²×C₄×C₁₉	—	4	2	no	—
68	C₂²×C₄×C₁₉	—	4	2	no	—
69	C₂²×C₄×C₁₉	—	4	1	no	—
70	C₂²×C₄×C₁₉	—	4	1	no	—
71	C₂²×C₄×C₁₉	C₄⋊C₄	1	4	yes	—
72	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
73	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
74	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
75	C₂²×C₄×C₁₉	C₂×Q₈	1	1	yes	characteristic
76	C₂²×C₄×C₁₉	C₂×Q₈	1	1	yes	characteristic
77	C₂²×C₄×C₁₉	#41	1	1	yes	characteristic
78	C₂²×C₄×C₁₉	#41	1	1	yes	characteristic
79	C₂²×C₄×C₁₉	#41	1	2	yes	—
80	C₂²×C₄×C₁₉	#41	1	2	yes	—
81	C₂²×C₄×C₁₉	#41	1	2	yes	—
82	C₂²×Dic₁₉	—	2	2	no	—
83	C₂²×Dic₁₉	—	2	2	no	—
84	C₄⋊C₄×C₁₉	—	2	4	no	—
85	C₄⋊C₄×C₁₉	—	2	4	no	—
86	C₄⋊C₄×C₁₉	—	2	4	no	—
87	C₄⋊C₄×C₁₉	—	4	2	no	—
88	C₄²×C₁₉	—	2	4	no	—
89	C₄²×C₁₉	—	4	2	no	—
90	C₂²⋊Dic₁₉	—	4	2	no	—
91	C₂²⋊Dic₁₉	—	4	2	no	—
92	C₄⋊Dic₁₉	—	2	2	no	—
93	C₄⋊Dic₁₉	—	2	2	no	—
94	C₄⋊Dic₁₉	—	2	2	no	—
95	C₄⋊Dic₁₉	—	2	2	no	—
96	C₄⋊Dic₁₉	—	8	2	no	—
97	C₄⋊Dic₁₉	—	8	2	no	—
98	C₄×Dic₁₉	—	4	2	no	—
99	C₄×Dic₁₉	—	4	2	no	—
100	#64520	—	2	4	no	—
101	#64520	—	2	4	no	—
102	#64520	—	4	2	no	—
103	#64520	—	4	2	no	—
104	C₂×C₁₉⋊C₈	—	2	4	no	—
105	C₂×C₁₉⋊C₈	—	4	2	no	—
106	C₂×C₁₉⋊C₈	—	4	2	no	—
107	#11296	—	19	1	no	maximal, Sylow
108	C₂³×C₁₉	—	2	1	no	—
109	C₂³×C₁₉	—	2	1	no	—
110	C₂³×C₁₉	—	2	1	no	—
111	C₂³×C₁₉	—	2	1	no	—
112	C₂³×C₁₉	C₂×C₄⋊C₄	1	1	yes	characteristic
113	C₂³×C₁₉	#120	1	1	yes	characteristic
114	C₂³×C₁₉	#121	1	1	yes	characteristic
115	C₂³×C₁₉	C₂²⋊Q₈	1	1	yes	characteristic
116	C₂³×C₁₉	#123	1	1	yes	characteristic
117	C₂³×C₁₉	#124	1	1	yes	characteristic
118	C₂³×C₁₉	#124	1	1	yes	characteristic
119	C₂×C₄×C₁₉	—	2	4	no	—
120	C₂×C₄×C₁₉	—	2	4	no	—
121	C₂×C₄×C₁₉	—	4	2	no	—
122	C₂×C₄×C₁₉	—	4	2	no	—
123	C₂×C₄×C₁₉	—	4	2	no	—
124	C₂×C₄×C₁₉	—	4	2	no	—
125	C₂×C₄×C₁₉	—	4	2	no	—
126	C₂×C₄×C₁₉	—	4	2	no	—
127	C₂×C₄×C₁₉	—	4	2	no	—
128	C₂×C₄×C₁₉	—	4	2	no	—
129	C₂×C₄×C₁₉	—	4	4	no	—
130	C₂×C₄×C₁₉	—	4	4	no	—
131	C₂×C₄×C₁₉	—	4	2	no	—
132	C₂×C₄×C₁₉	—	8	2	no	—
133	C₂×C₄×C₁₉	—	8	2	no	—
134	C₂×C₄×C₁₉	—	8	1	no	—
135	C₂×C₄×C₁₉	—	8	1	no	—
136	C₂×C₄×C₁₉	#117	1	2	yes	—
137	C₂×C₄×C₁₉	C₄×D₄	1	1	yes	characteristic
138	C₂×C₄×C₁₉	C₄×D₄	1	2	yes	—
139	C₂×C₄×C₁₉	C₄×Q₈	1	1	yes	characteristic
140	C₂×C₄×C₁₉	#121	1	2	yes	—
141	C₂×C₄×C₁₉	C₂²⋊Q₈	1	2	yes	—
142	C₂×C₄×C₁₉	C₂²⋊Q₈	1	2	yes	—
143	C₂×C₄×C₁₉	#123	1	2	yes	—
144	C₂×C₄×C₁₉	#123	1	2	yes	—
145	C₂×C₄×C₁₉	#124	1	2	yes	—
146	C₂×C₄×C₁₉	#125	1	1	yes	characteristic
147	C₂×C₄×C₁₉	#125	1	2	yes	—
148	C₂×C₄×C₁₉	#125	1	2	yes	—
149	C₂×C₄×C₁₉	#126	1	2	yes	—
150	C₂×C₄×C₁₉	#126	1	2	yes	—
151	C₂×C₄×C₁₉	C₄⋊Q₈	1	1	yes	characteristic
152	C₂×Dic₁₉	—	4	2	no	—
153	C₂×Dic₁₉	—	4	2	no	—
154	C₂×Dic₁₉	—	4	2	no	—
155	C₂×Dic₁₉	—	4	2	no	—
156	C₂×Dic₁₉	—	4	2	no	—
157	C₂×Dic₁₉	—	4	2	no	—
158	C₁₉⋊C₈	—	4	4	no	—
159	#2316	—	19	1	no	—
160	C₂×#343	—	19	1	no	—
161	#1736	—	19	2	no	—
162	C₂×#339	—	19	2	no	—
163	C₄⋊#95	D₁₉	1	1	yes	characteristic
164	C₂²×C₁₉	—	2	1	no	—
165	C₂²×C₁₉	—	2	1	no	—
166	C₂²×C₁₉	—	2	1	no	—
167	C₂²×C₁₉	—	2	1	no	—
168	C₂²×C₁₉	—	2	1	no	—
169	C₂²×C₁₉	—	2	1	no	—
170	C₂²×C₁₉	—	2	1	no	—
171	C₂²×C₁₉	—	2	1	no	—
172	C₂²×C₁₉	—	2	1	no	—
173	C₂²×C₁₉	—	2	1	no	—
174	C₂²×C₁₉	—	2	1	no	—
175	C₂²×C₁₉	—	2	1	no	—
176	C₂²×C₁₉	#382	1	1	yes	characteristic
177	C₂²×C₁₉	#385	1	1	yes	characteristic
178	C₂²×C₁₉	#389	1	1	yes	characteristic
179	C₂²×C₁₉	#393	1	1	yes	characteristic
180	C₂²×C₁₉	#394	1	1	yes	characteristic
181	C₂²×C₁₉	#397	1	1	yes	characteristic
182	C₂²×C₁₉	#400	1	1	yes	characteristic
183	C₂²×C₁₉	#453	1	1	yes	characteristic
184	C₂²×C₁₉	#454	1	1	yes	characteristic
185	C₂²×C₁₉	#455	1	1	yes	characteristic
186	C₂²×C₁₉	#456	1	1	yes	characteristic
187	C₄×C₁₉	—	4	4	no	—
188	C₄×C₁₉	—	4	4	no	—
189	C₄×C₁₉	—	8	2	no	—
190	C₄×C₁₉	#387	1	2	yes	—
191	C₄×C₁₉	#388	1	2	yes	—
192	C₄×C₁₉	#398	1	2	yes	—
193	C₄×C₁₉	#400	1	2	yes	—
194	Dic₁₉	—	8	2	no	—
195	Dic₁₉	—	8	2	no	—
196	C₂²×M₁₆	—	19	2	no	—
197	C₂×#117	—	19	2	no	—
198	C₂²×C₄⋊C₄	C₂×D₁₉	1	1	yes	characteristic
199	C₂²×C₄⋊C₄	C₂×D₁₉	1	1	yes	characteristic
200	C₂²×C₄²	C₂×D₁₉	1	1	yes	characteristic
201	#389	—	38	2	no	—
202	#389	—	38	2	no	—
203	#380	—	38	2	no	—
204	C₂×#95	—	2	2	no	—
205	#343	—	19	4	no	—
206	#340	—	38	2	no	—
207	#340	—	38	2	no	—
208	#339	—	38	4	no	—
209	C₂×C₁₉	—	2	1	no	—
210	C₂×C₁₉	—	2	1	no	—
211	C₂×C₁₉	—	2	1	no	—
212	C₂×C₁₉	—	2	1	no	—
213	C₂×C₁₉	#1442	1	1	yes	characteristic
214	C₂×C₁₉	#1856	1	1	yes	characteristic
215	C₂×C₁₉	#1857	1	1	yes	characteristic
216	C₂×C₁₉	#2027	1	1	yes	characteristic
217	C₂×C₁₉	#2028	1	1	yes	characteristic
218	C₂×C₁₉	#2039	1	1	yes	characteristic
219	C₂×C₁₉	#2040	1	1	yes	characteristic
220	C₂³×C₄	—	2	1	no	—
221	C₂³×C₄	—	2	1	no	—
222	C₂³×C₄	C₂²⋊D₁₉	1	2	yes	—
223	C₂³×C₄	C₂²×D₁₉	1	1	yes	characteristic
224	C₂×M₁₆	—	19	4	no	—
225	C₂×M₁₆	—	38	2	no	—
226	C₂×M₁₆	—	38	2	no	—
227	C₂×M₁₆	—	38	2	no	—
228	C₂×M₁₆	—	38	2	no	—
229	C₂×M₁₆	—	38	2	no	—
230	C₂²×C₈	—	38	2	no	—
231	#117	—	38	2	no	—
232	#117	—	38	2	no	—
233	#117	—	38	2	no	—
234	#117	—	38	2	no	—
235	C₂×C₄⋊C₄	—	2	2	no	—
236	C₂×C₄⋊C₄	—	2	2	no	—
237	C₂×C₄⋊C₄	—	2	2	no	—
238	C₂×C₄⋊C₄	—	2	2	no	—
239	C₂×C₄⋊C₄	—	2	1	no	—
240	C₂×C₄⋊C₄	—	19	2	no	—
241	C₂×C₄⋊C₄	—	19	2	no	—
242	C₂×C₄⋊C₄	—	38	2	no	—
243	C₂×C₄⋊C₄	—	38	2	no	—
244	C₂×C₄⋊C₄	Dic₃₈	1	2	yes	—
245	C₂×C₄⋊C₄	Dic₃₈	1	2	yes	—
246	C₂×C₄⋊C₄	C₄×D₁₉	1	2	yes	—
247	C₂×C₂²⋊C₄	—	38	2	no	—
248	C₂×C₄²	—	2	2	no	—
249	C₂×C₄²	—	2	2	no	—
250	C₂×C₄²	—	2	1	no	—
251	C₂×C₄²	—	38	2	no	—
252	C₂×C₄²	D₇₆	1	2	yes	—
253	#95	—	4	4	no	—
254	#95	—	38	4	no	—
255	C₁₉	#11296	1	1	yes	characteristic, complemented, Sylow
256	C₂⁴	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
257	C₂²×C₄	—	2	2	no	—
258	C₂²×C₄	—	2	2	no	—
259	C₂²×C₄	—	2	2	no	—
260	C₂²×C₄	—	2	2	no	—
261	C₂²×C₄	—	2	2	no	—
262	C₂²×C₄	—	2	2	no	—
263	C₂²×C₄	—	4	1	no	—
264	C₂²×C₄	—	4	1	no	—
265	C₂²×C₄	—	4	1	no	—
266	C₂²×C₄	—	4	1	no	—
267	C₂²×C₄	—	4	2	no	—
268	C₂²×C₄	—	4	2	no	—
269	C₂²×C₄	—	4	2	no	—
270	C₂²×C₄	—	4	2	no	—
271	C₂²×C₄	—	4	1	no	—
272	C₂²×C₄	—	4	1	no	—
273	C₂²×C₄	—	38	2	no	—
274	C₂²×C₄	—	38	2	no	—
275	C₂²×C₄	Dic₁₉⋊C₄	1	4	yes	—
276	C₂²×C₄	C₂×Dic₃₈	1	1	yes	characteristic
277	C₂²×C₄	C₂×Dic₃₈	1	1	yes	characteristic
278	C₂²×C₄	C₂×C₄×D₁₉	1	1	yes	characteristic
279	C₂²×C₄	C₂×D₇₆	1	1	yes	characteristic
280	C₂²×C₄	#64541	1	1	yes	characteristic
281	C₂²×C₄	#64541	1	1	yes	characteristic
282	C₂²×C₄	D₄×D₁₉	1	2	yes	—
283	C₂²×C₄	#64543	1	2	yes	—
284	C₂²×C₄	#64543	1	2	yes	—
285	C₂²×C₄	#64545	1	2	yes	—
286	M₁₆	—	38	4	no	—
287	M₁₆	—	38	4	no	—
288	M₁₆	—	76	2	no	—
289	M₁₆	—	76	2	no	—
290	C₂×C₈	—	38	4	no	—
291	C₂×C₈	—	76	2	no	—
292	C₂×C₈	—	76	2	no	—
293	C₄⋊C₄	—	2	4	no	—
294	C₄⋊C₄	—	2	4	no	—
295	C₄⋊C₄	—	2	4	no	—
296	C₄⋊C₄	—	4	2	no	—
297	C₄⋊C₄	—	38	2	no	—
298	C₄⋊C₄	—	38	2	no	—
299	C₄⋊C₄	—	38	2	no	—
300	C₄⋊C₄	—	38	2	no	—
301	C₄⋊C₄	—	152	2	no	—
302	C₄⋊C₄	—	152	2	no	—
303	C₂²⋊C₄	—	76	2	no	—
304	C₂²⋊C₄	—	76	2	no	—
305	C₄²	—	2	4	no	—
306	C₄²	—	4	2	no	—
307	C₄²	—	76	2	no	—
308	C₄²	—	76	2	no	—
309	C₂³	—	2	1	no	—
310	C₂³	—	2	1	no	—
311	C₂³	—	2	1	no	—
312	C₂³	—	2	1	no	—
313	C₂³	C₂×Dic₁₉⋊C₄	1	1	yes	characteristic
314	C₂³	#10597370	1	1	yes	characteristic
315	C₂³	#10597376	1	1	yes	characteristic
316	C₂³	#10597381	1	1	yes	characteristic
317	C₂³	#10597382	1	1	yes	characteristic
318	C₂³	#10597383	1	1	yes	characteristic
319	C₂³	#10597393	1	1	yes	characteristic
320	C₂×C₄	—	2	4	no	—
321	C₂×C₄	—	2	4	no	—
322	C₂×C₄	—	4	2	no	—
323	C₂×C₄	—	4	2	no	—
324	C₂×C₄	—	4	2	no	—
325	C₂×C₄	—	4	2	no	—
326	C₂×C₄	—	4	2	no	—
327	C₂×C₄	—	4	2	no	—
328	C₂×C₄	—	4	2	no	—
329	C₂×C₄	—	4	2	no	—
330	C₂×C₄	—	4	4	no	—
331	C₂×C₄	—	4	4	no	—
332	C₂×C₄	—	4	2	no	—
333	C₂×C₄	—	8	2	no	—
334	C₂×C₄	—	8	2	no	—
335	C₂×C₄	—	8	1	no	—
336	C₂×C₄	—	8	1	no	—
337	C₂×C₄	—	76	2	no	—
338	C₂×C₄	—	76	2	no	—
339	C₂×C₄	—	76	2	no	—
340	C₂×C₄	—	76	2	no	—
341	C₂×C₄	—	76	2	no	—
342	C₂×C₄	—	76	2	no	—
343	C₂×C₄	C₄×Dic₃₈	1	1	yes	characteristic
344	C₂×C₄	#10597315	1	1	yes	characteristic
345	C₂×C₄	#10597316	1	1	yes	characteristic
346	C₂×C₄	C₄×D₇₆	1	1	yes	characteristic
347	C₂×C₄	#10597324	1	2	yes	—
348	C₂×C₄	#10597324	1	2	yes	—
349	C₂×C₄	#10597325	1	2	yes	—
350	C₂×C₄	(C₂²⋊D₁₉)⋊C₄	1	2	yes	—
351	C₂×C₄	#10597331	1	2	yes	—
352	C₂×C₄	#10597332	1	2	yes	—
353	C₂×C₄	#10597336	1	2	yes	—
354	C₂×C₄	#10597336	1	2	yes	—
355	C₂×C₄	#10597338	1	2	yes	—
356	C₂×C₄	#10597340	1	2	yes	—
357	C₂×C₄	#10597341	1	2	yes	—
358	C₂×C₄	#10597344	1	2	yes	—
359	C₈	—	76	4	no	—
360	C₂²	—	2	1	no	—
361	C₂²	—	2	1	no	—
362	C₂²	—	2	1	no	—
363	C₂²	—	2	1	no	—
364	C₂²	—	2	1	no	—
365	C₂²	—	2	1	no	—
366	C₂²	—	2	1	no	—
367	C₂²	—	2	1	no	—
368	C₂²	—	2	1	no	—
369	C₂²	—	2	1	no	—
370	C₂²	—	2	1	no	—
371	C₂²	—	2	1	no	—
372	C₂²	#11926409	1	1	yes	characteristic
373	C₂²	#11926416	1	1	yes	characteristic
374	C₂²	#11926442	1	1	yes	characteristic
375	C₂²	#11926456	1	1	yes	characteristic
376	C₂²	#11926461	1	1	yes	characteristic
377	C₂²	#11926469	1	1	yes	characteristic
378	C₂²	#11926483	1	1	yes	characteristic
379	C₂²	#11926711	1	1	yes	characteristic
380	C₂²	#11926716	1	1	yes	characteristic
381	C₂²	#11926721	1	1	yes	characteristic
382	C₂²	#11926726	1	1	yes	characteristic
383	C₄	—	4	4	no	—
384	C₄	—	4	4	no	—
385	C₄	—	8	2	no	—
386	C₄	—	152	2	no	—
387	C₄	—	152	2	no	—
388	C₄	#11926431	1	2	yes	—
389	C₄	#11926436	1	2	yes	—
390	C₄	#11926476	1	2	yes	—
391	C₄	#11926486	1	2	yes	—
392	C₂	—	2	1	no	—
393	C₂	—	2	1	no	—
394	C₂	—	2	1	no	—
395	C₂	—	2	1	no	—
396	C₂	#14561891	1	1	yes	characteristic
397	C₂	#14563844	1	1	yes	characteristic
398	C₂	#14563849	1	1	yes	characteristic
399	C₂	#14564791	1	1	yes	characteristic
400	C₂	#14564796	1	1	yes	characteristic
401	C₂	#14564859	1	1	yes	characteristic
402	C₂	#14564864	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	#10597383
commutator	C₂²×C₄×C₁₉	C₂²×C₄
Frattini	C₂³×C₄	C₂²×D₁₉
Fitting	C₁₉×C₄⋊#95	C₂
socle	C₂³×C₁₉	#120
prime radical	C₂⁴×C₁₉	C₂×D₄
cosocle	C₂³×C₄×C₁₉	C₂³
hypercenter	C₄⋊#95	D₁₉
hypocenter	C₁₉	#11296
LCS	G ▷ C₂²×C₄×C₁₉ ▷ C₂×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂³ ◁ C₂³×C₄ ◁ C₄⋊#95

Complements

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

N	H ≅ G/N	type
11. #11926313	C₄	semidirect
255. C₁₉	#11296	semidirect

Maximal subgroups

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

subgroup	index
#14566253	2
C₂×#11926313	2
#14563354	2
C₂×#11926304	2
C₁₉×C₄⋊#95	2
#11296	19