Subgroups — #18077734

Order 4864.

544 conjugacy classes of subgroups.

The subgroup lattice has 416 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14572353	C₂	1	1	yes	maximal, characteristic, complemented
2	#14564434	C₂	1	1	yes	maximal, characteristic, complemented
3	#14562284	C₂	1	1	yes	maximal, characteristic, complemented
4	#14562060	C₂	1	1	yes	maximal, characteristic, complemented
5	#14561531	C₂	1	1	yes	maximal, characteristic, complemented
6	#14561479	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#3100	C₂	1	1	yes	maximal, characteristic
8	C₂×#10597394	—	2	1	no	—
9	#11926616	—	2	2	no	—
10	#11926616	—	2	2	no	—
11	#11926597	C₂²	1	1	yes	characteristic
12	#11926568	C₂²	1	1	yes	characteristic
13	C₂×C₄⋊(C₁₉⋊C₈)	C₂²	1	1	yes	characteristic
14	#11926511	—	2	1	no	—
15	C₂×C₂²⋊(C₁₉⋊C₈)	—	2	1	no	—
16	C₂×C₂²⋊(C₁₉⋊C₈)	—	2	1	no	—
17	C₂×#10597260	C₂²	1	1	yes	characteristic
18	#11926290	—	2	1	no	—
19	#11926288	—	2	1	no	—
20	D₄⋊(C₁₉⋊C₈)	—	2	2	no	—
21	C₁₉×#532	C₂²	1	1	yes	characteristic
22	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
23	C₁₉×#480	C₄	1	2	yes	—
24	C₁₉×#474	—	2	1	no	—
25	C₁₉×#459	—	2	1	no	—
26	C₁₉×#447	C₄	1	2	yes	—
27	C₄×D₈×C₁₉	—	2	2	no	—
28	C₁₉×#431	C₂²	1	1	yes	characteristic
29	C₂×#41×C₁₉	—	2	1	no	—
30	C₂²×D₄×C₁₉	C₂×C₄	1	1	yes	characteristic
31	C₂³×C₄×C₁₉	—	2	1	no	—
32	C₂×D₈×C₁₉	—	2	2	no	—
33	C₁₉×C₄⋊Q₈	D₄	1	1	yes	characteristic
34	C₁₉×#127	D₄	1	1	yes	characteristic
35	C₁₉×#124	—	2	1	no	—
36	C₁₉×#121	—	2	1	no	—
37	C₁₉×#121	C₂×C₄	1	2	yes	—
38	C₄×D₄×C₁₉	—	2	1	no	—
39	C₄×D₄×C₁₉	—	2	1	no	—
40	C₄×D₄×C₁₉	—	2	1	no	—
41	C₄×D₄×C₁₉	—	2	1	no	—
42	C₄×D₄×C₁₉	—	2	1	no	—
43	C₄×D₄×C₁₉	D₄	1	2	yes	—
44	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	1	yes	characteristic
45	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
46	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
47	#10597394	—	4	2	no	—
48	#10597394	—	4	2	no	—
49	C₂×#64520	—	2	2	no	—
50	C₂×#64520	—	2	1	no	—
51	C₂²×C₁₉⋊C₈	—	2	2	no	—
52	C₂²×C₁₉⋊C₈	—	2	1	no	—
53	C₂²×C₁₉⋊C₈	D₄	1	1	yes	characteristic
54	C₂²×C₁₉⋊C₈	D₄	1	1	yes	characteristic
55	C₁₉×#107	—	2	2	no	—
56	C₁₉×C₄⋊C₈	—	2	1	no	—
57	C₁₉×#102	—	2	2	no	—
58	C₁₉×#102	—	2	2	no	—
59	C₁₉×C₂²⋊C₈	C₂×C₄	1	2	yes	—
60	C₄×C₈×C₁₉	—	2	1	no	—
61	C₂²⋊(C₁₉⋊C₈)	—	2	4	no	—
62	C₂²⋊(C₁₉⋊C₈)	—	2	1	no	—
63	C₂²⋊(C₁₉⋊C₈)	—	4	2	no	—
64	C₂²⋊(C₁₉⋊C₈)	—	4	2	no	—
65	C₄⋊(C₁₉⋊C₈)	—	2	1	no	—
66	C₄⋊(C₁₉⋊C₈)	—	2	1	no	—
67	C₄⋊(C₁₉⋊C₈)	—	2	1	no	—
68	C₄⋊(C₁₉⋊C₈)	—	2	1	no	—
69	C₄⋊(C₁₉⋊C₈)	D₄	1	2	yes	—
70	#10597260	—	2	1	no	—
71	#10597260	—	2	1	no	—
72	C₄×C₁₉⋊C₈	—	2	1	no	—
73	C₂⁴×C₁₉	—	2	1	no	—
74	#41×C₁₉	—	4	1	no	—
75	#41×C₁₉	—	4	1	no	—
76	#41×C₁₉	—	4	1	no	—
77	#41×C₁₉	—	4	1	no	—
78	C₂×Q₈×C₁₉	—	2	1	no	—
79	C₂×D₄×C₁₉	—	2	2	no	—
80	C₂×D₄×C₁₉	—	2	1	no	—
81	C₂×D₄×C₁₉	—	2	1	no	—
82	C₂×D₄×C₁₉	—	2	1	no	—
83	C₂×D₄×C₁₉	—	2	1	no	—
84	C₂×D₄×C₁₉	—	4	2	no	—
85	C₂×D₄×C₁₉	C₂²⋊C₄	1	2	yes	—
86	C₂²×C₄×C₁₉	—	2	2	no	—
87	C₂²×C₄×C₁₉	—	2	1	no	—
88	C₂²×C₄×C₁₉	—	4	1	no	—
89	C₂²×C₄×C₁₉	—	4	1	no	—
90	C₂²×C₄×C₁₉	—	4	1	no	—
91	C₂²×C₄×C₁₉	—	4	1	no	—
92	C₂²×C₄×C₁₉	—	4	1	no	—
93	C₂²×C₄×C₁₉	—	4	1	no	—
94	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
95	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
96	C₂²×C₄×C₁₉	#41	1	1	yes	characteristic
97	D₈×C₁₉	—	4	4	no	—
98	C₂×C₈×C₁₉	—	2	2	no	—
99	C₄⋊C₄×C₁₉	—	2	1	no	—
100	C₄⋊C₄×C₁₉	—	2	1	no	—
101	C₄⋊C₄×C₁₉	—	2	1	no	—
102	C₄⋊C₄×C₁₉	C₂²⋊C₄	1	2	yes	—
103	C₂²⋊C₄×C₁₉	—	2	2	no	—
104	C₂²⋊C₄×C₁₉	—	2	2	no	—
105	C₂²⋊C₄×C₁₉	—	4	1	no	—
106	C₂²⋊C₄×C₁₉	—	4	1	no	—
107	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
108	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
109	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
110	C₄²×C₁₉	#41	1	1	yes	characteristic
111	#64520	—	4	4	no	—
112	#64520	—	4	1	no	—
113	#64520	—	4	1	no	—
114	C₂×C₁₉⋊C₈	—	2	1	no	—
115	C₂×C₁₉⋊C₈	—	2	1	no	—
116	C₂×C₁₉⋊C₈	—	2	1	no	—
117	C₂×C₁₉⋊C₈	—	2	2	no	—
118	C₂×C₁₉⋊C₈	—	2	1	no	—
119	C₂×C₁₉⋊C₈	—	2	1	no	—
120	C₂×C₁₉⋊C₈	—	4	4	no	—
121	C₂×C₁₉⋊C₈	—	4	1	no	—
122	C₂×C₁₉⋊C₈	—	4	1	no	—
123	C₂×C₁₉⋊C₈	—	4	1	no	—
124	C₂×C₁₉⋊C₈	—	4	1	no	—
125	C₂×C₁₉⋊C₈	D₈	1	2	yes	complemented
126	#9049	—	19	1	no	maximal, Sylow
127	C₂³×C₁₉	—	2	2	no	—
128	C₂³×C₁₉	—	2	2	no	—
129	C₂³×C₁₉	—	4	1	no	—
130	C₂³×C₁₉	—	4	1	no	—
131	C₂³×C₁₉	—	4	1	no	—
132	C₂³×C₁₉	—	4	1	no	—
133	C₂³×C₁₉	—	4	1	no	—
134	C₂³×C₁₉	—	4	1	no	—
135	C₂³×C₁₉	C₄×D₄	1	1	yes	characteristic
136	Q₈×C₁₉	—	4	1	no	—
137	Q₈×C₁₉	—	4	1	no	—
138	D₄×C₁₉	—	2	2	no	—
139	D₄×C₁₉	—	2	2	no	—
140	D₄×C₁₉	—	4	2	no	—
141	D₄×C₁₉	—	4	1	no	—
142	D₄×C₁₉	—	4	1	no	—
143	D₄×C₁₉	—	4	2	no	—
144	D₄×C₁₉	—	4	2	no	—
145	D₄×C₁₉	—	4	1	no	—
146	D₄×C₁₉	—	4	1	no	—
147	D₄×C₁₉	—	8	1	no	—
148	C₂×C₄×C₁₉	—	2	2	no	—
149	C₂×C₄×C₁₉	—	4	1	no	—
150	C₂×C₄×C₁₉	—	4	1	no	—
151	C₂×C₄×C₁₉	—	4	2	no	—
152	C₂×C₄×C₁₉	—	4	2	no	—
153	C₂×C₄×C₁₉	—	4	1	no	—
154	C₂×C₄×C₁₉	—	4	1	no	—
155	C₂×C₄×C₁₉	—	4	1	no	—
156	C₂×C₄×C₁₉	—	8	1	no	—
157	C₂×C₄×C₁₉	—	8	1	no	—
158	C₂×C₄×C₁₉	—	8	1	no	—
159	C₂×C₄×C₁₉	—	8	1	no	—
160	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
161	C₂×C₄×C₁₉	C₄×D₄	1	1	yes	characteristic
162	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
163	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
164	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
165	C₂×C₄×C₁₉	#123	1	1	yes	characteristic
166	C₂×C₄×C₁₉	C₂×D₈	1	1	yes	characteristic
167	C₂×C₄×C₁₉	#135	1	1	yes	characteristic
168	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
169	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
170	C₈×C₁₉	—	4	2	no	—
171	C₁₉⋊C₈	—	2	2	no	—
172	C₁₉⋊C₈	—	4	2	no	—
173	C₁₉⋊C₈	—	4	1	no	—
174	C₁₉⋊C₈	—	8	1	no	—
175	C₁₉⋊C₈	—	8	1	no	—
176	#3100	D₁₉	1	1	yes	characteristic
177	#2932	—	19	1	no	—
178	#1955	—	19	1	no	—
179	#1540	—	19	1	no	—
180	#1486	—	19	1	no	—
181	#1301	—	19	1	no	—
182	#1281	—	19	1	no	—
183	C₂²×C₁₉	—	2	1	no	—
184	C₂²×C₁₉	—	2	1	no	—
185	C₂²×C₁₉	—	4	2	no	—
186	C₂²×C₁₉	—	4	2	no	—
187	C₂²×C₁₉	—	4	2	no	—
188	C₂²×C₁₉	—	4	2	no	—
189	C₂²×C₁₉	—	4	2	no	—
190	C₂²×C₁₉	—	4	2	no	—
191	C₂²×C₁₉	—	8	1	no	—
192	C₂²×C₁₉	—	8	1	no	—
193	C₂²×C₁₉	—	8	1	no	—
194	C₂²×C₁₉	—	8	1	no	—
195	C₂²×C₁₉	#386	1	1	yes	characteristic
196	C₂²×C₁₉	C₄×D₈	1	1	yes	characteristic
197	C₂²×C₁₉	#442	1	1	yes	characteristic
198	C₄×C₁₉	—	2	1	no	—
199	C₄×C₁₉	—	2	1	no	—
200	C₄×C₁₉	—	2	1	no	—
201	C₄×C₁₉	—	2	1	no	—
202	C₄×C₁₉	—	4	2	no	—
203	C₄×C₁₉	—	8	1	no	—
204	C₄×C₁₉	#447	1	1	yes	characteristic
205	C₄×C₁₉	#449	1	1	yes	characteristic
206	C₄×C₁₉	#459	1	1	yes	characteristic
207	C₄×C₁₉	#463	1	1	yes	characteristic
208	C₂×#131	—	38	1	no	—
209	#532	C₂×D₁₉	1	1	yes	characteristic
210	C₂×C₄×D₄	C₂×D₁₉	1	1	yes	characteristic
211	#480	Dic₁₉	1	2	yes	—
212	#474	—	2	1	no	—
213	#459	—	2	1	no	—
214	#447	Dic₁₉	1	2	yes	—
215	C₄×D₈	—	2	2	no	—
216	#435	—	38	2	no	—
217	#435	—	38	2	no	—
218	#431	—	19	1	no	—
219	#431	C₂×D₁₉	1	1	yes	characteristic
220	#423	—	19	1	no	—
221	C₂×C₄⋊C₈	—	19	1	no	—
222	#408	—	38	1	no	—
223	C₂×C₂²⋊C₈	—	38	1	no	—
224	C₂×C₂²⋊C₈	—	38	1	no	—
225	C₂×#97	—	19	1	no	—
226	#332	—	38	1	no	—
227	#331	—	38	1	no	—
228	D₄⋊C₈	—	38	2	no	—
229	C₂×C₁₉	—	2	1	no	—
230	C₂×C₁₉	—	2	1	no	—
231	C₂×C₁₉	—	8	2	no	—
232	C₂×C₁₉	—	8	2	no	—
233	C₂×C₁₉	#1879	1	1	yes	characteristic
234	C₂×C₁₉	#1881	1	1	yes	characteristic
235	C₂×C₁₉	#1891	1	1	yes	characteristic
236	C₂×#41	—	2	1	no	—
237	C₂²×D₄	C₂×Dic₁₉	1	1	yes	characteristic
238	C₂³×C₄	—	2	1	no	—
239	C₂×D₈	—	2	2	no	—
240	#131	—	76	2	no	—
241	#131	—	76	2	no	—
242	C₂×M₁₆	—	38	2	no	—
243	C₂×M₁₆	—	38	1	no	—
244	C₂²×C₈	—	19	1	no	—
245	C₂²×C₈	—	19	1	no	—
246	C₂²×C₈	—	38	2	no	—
247	C₂²×C₈	—	38	1	no	—
248	C₄⋊Q₈	C₂²⋊D₁₉	1	1	yes	characteristic
249	#127	C₂²⋊D₁₉	1	1	yes	characteristic
250	#124	—	2	1	no	—
251	#121	—	2	1	no	—
252	#121	C₂×Dic₁₉	1	2	yes	—
253	C₄×D₄	—	2	1	no	—
254	C₄×D₄	—	2	1	no	—
255	C₄×D₄	—	2	1	no	—
256	C₄×D₄	—	2	1	no	—
257	C₄×D₄	—	2	1	no	—
258	C₄×D₄	C₂²⋊D₁₉	1	2	yes	—
259	C₂×C₄⋊C₄	C₂×Dic₁₉	1	1	yes	characteristic
260	C₂×C₂²⋊C₄	—	2	1	no	—
261	C₂×C₄²	C₂²×D₁₉	1	1	yes	characteristic
262	#107	—	2	2	no	—
263	C₄⋊C₈	—	2	1	no	—
264	C₄⋊C₈	—	19	2	no	—
265	C₄⋊C₈	—	38	1	no	—
266	C₄⋊C₈	—	38	1	no	—
267	C₄⋊C₈	—	38	1	no	—
268	C₄⋊C₈	—	38	1	no	—
269	#102	—	2	2	no	—
270	#102	—	2	2	no	—
271	C₂²⋊C₈	—	38	4	no	—
272	C₂²⋊C₈	—	38	1	no	—
273	C₂²⋊C₈	—	76	2	no	—
274	C₂²⋊C₈	—	76	2	no	—
275	C₂²⋊C₈	C₂×Dic₁₉	1	2	yes	—
276	#97	—	38	1	no	—
277	#97	—	38	1	no	—
278	C₄×C₈	—	2	1	no	—
279	C₄×C₈	—	38	1	no	—
280	C₁₉	#9049	1	1	yes	characteristic, complemented, Sylow
281	C₂⁴	—	2	1	no	—
282	#41	—	4	1	no	—
283	#41	—	4	1	no	—
284	#41	—	4	1	no	—
285	#41	—	4	1	no	—
286	C₂×Q₈	—	2	1	no	—
287	C₂×D₄	—	2	2	no	—
288	C₂×D₄	—	2	1	no	—
289	C₂×D₄	—	2	1	no	—
290	C₂×D₄	—	2	1	no	—
291	C₂×D₄	—	2	1	no	—
292	C₂×D₄	—	4	2	no	—
293	C₂×D₄	C₂²⋊Dic₁₉	1	2	yes	—
294	C₂²×C₄	—	2	2	no	—
295	C₂²×C₄	—	2	1	no	—
296	C₂²×C₄	—	4	1	no	—
297	C₂²×C₄	—	4	1	no	—
298	C₂²×C₄	—	4	1	no	—
299	C₂²×C₄	—	4	1	no	—
300	C₂²×C₄	—	4	1	no	—
301	C₂²×C₄	—	4	1	no	—
302	C₂²×C₄	D₄×D₁₉	1	1	yes	characteristic
303	C₂²×C₄	#64543	1	1	yes	characteristic
304	C₂²×C₄	C₂²×Dic₁₉	1	1	yes	characteristic
305	D₈	—	4	4	no	—
306	M₁₆	—	76	4	no	—
307	M₁₆	—	76	1	no	—
308	M₁₆	—	76	1	no	—
309	C₂×C₈	—	2	2	no	—
310	C₂×C₈	—	19	2	no	—
311	C₂×C₈	—	38	1	no	—
312	C₂×C₈	—	38	1	no	—
313	C₂×C₈	—	38	1	no	—
314	C₂×C₈	—	38	2	no	—
315	C₂×C₈	—	38	1	no	—
316	C₂×C₈	—	38	1	no	—
317	C₂×C₈	—	76	4	no	—
318	C₂×C₈	—	76	1	no	—
319	C₂×C₈	—	76	1	no	—
320	C₂×C₈	—	76	1	no	—
321	C₂×C₈	—	76	1	no	—
322	C₄⋊C₄	—	2	1	no	—
323	C₄⋊C₄	—	2	1	no	—
324	C₄⋊C₄	—	2	1	no	—
325	C₄⋊C₄	C₂²⋊Dic₁₉	1	2	yes	—
326	C₂²⋊C₄	—	2	2	no	—
327	C₂²⋊C₄	—	2	2	no	—
328	C₂²⋊C₄	—	4	1	no	—
329	C₂²⋊C₄	—	4	1	no	—
330	C₄²	D₄×D₁₉	1	1	yes	characteristic
331	C₄²	#64543	1	1	yes	characteristic
332	C₄²	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
333	C₄²	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
334	C₂³	—	2	2	no	—
335	C₂³	—	2	2	no	—
336	C₂³	—	4	1	no	—
337	C₂³	—	4	1	no	—
338	C₂³	—	4	1	no	—
339	C₂³	—	4	1	no	—
340	C₂³	—	4	1	no	—
341	C₂³	—	4	1	no	—
342	C₂³	D₄×Dic₁₉	1	1	yes	characteristic
343	Q₈	—	4	1	no	—
344	Q₈	—	4	1	no	—
345	D₄	—	2	2	no	—
346	D₄	—	2	2	no	—
347	D₄	—	4	2	no	—
348	D₄	—	4	1	no	—
349	D₄	—	4	1	no	—
350	D₄	—	4	2	no	—
351	D₄	—	4	2	no	—
352	D₄	—	4	1	no	—
353	D₄	—	4	1	no	—
354	D₄	—	8	1	no	—
355	C₂×C₄	—	2	2	no	—
356	C₂×C₄	—	4	1	no	—
357	C₂×C₄	—	4	1	no	—
358	C₂×C₄	—	4	2	no	—
359	C₂×C₄	—	4	2	no	—
360	C₂×C₄	—	4	1	no	—
361	C₂×C₄	—	4	1	no	—
362	C₂×C₄	—	4	1	no	—
363	C₂×C₄	—	8	1	no	—
364	C₂×C₄	—	8	1	no	—
365	C₂×C₄	—	8	1	no	—
366	C₂×C₄	—	8	1	no	—
367	C₂×C₄	D₈×D₁₉	1	1	yes	characteristic
368	C₂×C₄	#10597357	1	1	yes	characteristic
369	C₂×C₄	#10597357	1	1	yes	characteristic
370	C₂×C₄	#10597358	1	1	yes	characteristic
371	C₂×C₄	D₄×Dic₁₉	1	1	yes	characteristic
372	C₂×C₄	#10597381	1	1	yes	characteristic
373	C₂×C₄	#10597383	1	1	yes	characteristic
374	C₂×C₄	#10597385	1	1	yes	characteristic
375	C₂×C₄	#10597385	1	1	yes	characteristic
376	C₂×C₄	C₂×C₂²⋊Dic₁₉	1	1	yes	characteristic
377	C₈	—	4	2	no	—
378	C₈	—	38	2	no	—
379	C₈	—	76	2	no	—
380	C₈	—	76	1	no	—
381	C₈	—	152	1	no	—
382	C₈	—	152	1	no	—
383	C₂²	—	2	1	no	—
384	C₂²	—	2	1	no	—
385	C₂²	—	4	2	no	—
386	C₂²	—	4	2	no	—
387	C₂²	—	4	2	no	—
388	C₂²	—	4	2	no	—
389	C₂²	—	4	2	no	—
390	C₂²	—	4	2	no	—
391	C₂²	—	8	1	no	—
392	C₂²	—	8	1	no	—
393	C₂²	—	8	1	no	—
394	C₂²	—	8	1	no	—
395	C₂²	#11926424	1	1	yes	characteristic
396	C₂²	D₈×Dic₁₉	1	1	yes	characteristic
397	C₂²	#11926656	1	1	yes	characteristic
398	C₄	—	2	1	no	—
399	C₄	—	2	1	no	—
400	C₄	—	2	1	no	—
401	C₄	—	2	1	no	—
402	C₄	—	4	2	no	—
403	C₄	—	8	1	no	—
404	C₄	#11926676	1	1	yes	characteristic
405	C₄	#11926686	1	1	yes	characteristic
406	C₄	#11926737	1	1	yes	characteristic
407	C₄	#11926757	1	1	yes	characteristic
408	C₂	—	2	1	no	—
409	C₂	—	2	1	no	—
410	C₂	—	8	2	no	—
411	C₂	—	8	2	no	—
412	C₂	#14563985	1	1	yes	characteristic
413	C₂	#14563999	1	1	yes	characteristic
414	C₂	#14564054	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	#10597383
commutator	C₂²×C₄×C₁₉	C₂²×C₄
Frattini	C₂×C₄²	C₂²×D₁₉
Fitting, prime radical	C₁₉×#3100	C₂
socle	C₂²×C₁₉	#386
cosocle	C₂×C₄²×C₁₉	C₂³
hypercenter	#3100	D₁₉
hypocenter	C₁₉	#9049
LCS	G ▷ C₂²×C₄×C₁₉ ▷ C₂²×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #3100

Complements

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

N	H ≅ G/N	type
1. #14572353	C₂	semidirect
2. #14564434	C₂	semidirect
3. #14562284	C₂	semidirect
4. #14562060	C₂	semidirect
5. #14561531	C₂	semidirect
6. #14561479	C₂	semidirect
125. C₂×C₁₉⋊C₈	D₈	semidirect
280. C₁₉	#9049	semidirect

Maximal subgroups

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

subgroup	index
#14572353	2
#14564434	2
#14562284	2
#14562060	2
#14561531	2
#14561479	2
C₁₉×#3100	2
#9049	19