Subgroups — #18081464

Order 4864.

510 conjugacy classes of subgroups.

The subgroup lattice has 414 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₄×#64525	C₂	1	1	yes	maximal, characteristic
2	#14562381	C₂	1	1	yes	maximal, characteristic, complemented
3	#14562025	C₂	1	1	yes	maximal, characteristic, complemented
4	#14561956	C₂	1	1	yes	maximal, characteristic, complemented
5	#14561955	C₂	1	1	yes	maximal, characteristic, complemented
6	#14561919	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#1478	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂²×#64525	C₄	1	1	yes	characteristic
9	C₂×C₄×D₇₆	C₂²	1	1	yes	characteristic
10	C₄×#64525	—	2	1	no	—
11	C₄×#64525	—	2	1	no	—
12	C₄×#64525	—	2	1	no	—
13	C₄×#64525	—	2	1	no	—
14	#11926597	C₂²	1	1	yes	characteristic
15	#11926597	C₂²	1	1	yes	characteristic
16	C₂×#10597264	C₄	1	1	yes	characteristic
17	C₂×#10597289	C₄	1	1	yes	characteristic
18	C₂×#10597266	C₄	1	1	yes	characteristic
19	C₂×C₄×C₁₉⋊C₈	C₂²	1	1	yes	characteristic
20	#11926296	—	2	1	no	—
21	#11926294	—	2	1	no	—
22	#11926271	—	2	2	no	—
23	#11926268	—	2	2	no	—
24	#11926267	—	2	2	no	—
25	#11926266	—	2	1	no	—
26	C₈×C₁₉⋊C₈	—	2	1	no	—
27	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
28	C₁₉×#431	C₂²	1	1	yes	characteristic
29	C₁₉×#431	C₂²	1	1	yes	characteristic
30	C₁₉×D₄⋊C₈	—	2	2	no	—
31	C₂²×D₄×C₁₉	C₂×C₄	1	1	yes	characteristic
32	C₂³×C₄×C₁₉	—	2	1	no	—
33	C₂²×D₇₆	C₂×C₄	1	1	yes	characteristic
34	C₂²×C₄×D₁₉	—	2	1	no	—
35	C₄×D₄×C₁₉	—	2	1	no	—
36	C₄×D₄×C₁₉	—	2	1	no	—
37	C₄×D₄×C₁₉	—	2	1	no	—
38	C₄×D₄×C₁₉	—	2	1	no	—
39	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	1	yes	characteristic
40	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
41	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
42	C₂×#64525	—	2	1	no	—
43	C₂×#64525	—	2	1	no	—
44	C₂×#64525	—	2	2	no	—
45	C₂×#64525	C₈	1	4	yes	complemented
46	C₂×(C₂×D₁₉)⋊C₄	—	2	1	no	—
47	C₂×C₄⋊Dic₁₉	C₂×C₄	1	1	yes	characteristic
48	C₂²×C₁₉⋊C₈	C₂×C₄	1	1	yes	characteristic
49	C₂²×C₁₉⋊C₈	C₂×C₄	1	1	yes	characteristic
50	C₄×D₇₆	—	2	1	no	—
51	C₄×D₇₆	—	2	1	no	—
52	C₄×D₇₆	—	2	1	no	—
53	C₄×D₇₆	—	2	1	no	—
54	C₁₉×C₄⋊C₈	—	2	1	no	—
55	C₁₉×C₄⋊C₈	D₄	1	2	yes	—
56	C₁₉×C₂²⋊C₈	—	2	1	no	—
57	C₁₉×C₂²⋊C₈	—	2	1	no	—
58	C₄×C₈×C₁₉	—	2	1	no	—
59	C₄×C₈×C₁₉	—	2	1	no	—
60	#10597289	—	2	1	no	—
61	#10597289	—	2	1	no	—
62	C₂²⋊(C₁₉⋊C₈)	—	2	1	no	—
63	C₂²⋊(C₁₉⋊C₈)	D₄	1	2	yes	—
64	#10597266	—	2	1	no	—
65	#10597266	—	2	1	no	—
66	#10597264	—	2	1	no	—
67	#10597264	—	2	1	no	—
68	C₄⋊(C₁₉⋊C₈)	—	2	1	no	—
69	C₄⋊(C₁₉⋊C₈)	—	2	1	no	—
70	C₄×C₁₉⋊C₈	—	2	1	no	—
71	C₄×C₁₉⋊C₈	—	2	1	no	—
72	C₄×C₁₉⋊C₈	D₄	1	1	yes	characteristic
73	C₄×C₁₉⋊C₈	D₄	1	1	yes	characteristic
74	C₄×C₁₉⋊C₈	D₄	1	1	yes	characteristic
75	C₄×C₁₉⋊C₈	D₄	1	1	yes	characteristic
76	C₂⁴×C₁₉	—	2	1	no	—
77	C₂³×D₁₉	—	2	1	no	—
78	C₂×D₄×C₁₉	—	2	1	no	—
79	C₂×D₄×C₁₉	—	2	1	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	C₂×C₈	1	2	yes	—
84	C₂²×C₄×C₁₉	—	2	1	no	—
85	C₂²×C₄×C₁₉	—	4	1	no	—
86	C₂²×C₄×C₁₉	—	4	1	no	—
87	C₂²×C₄×C₁₉	—	8	2	no	—
88	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
89	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
90	C₂²×C₄×C₁₉	#41	1	1	yes	characteristic
91	C₂²×Dic₁₉	—	2	1	no	—
92	C₂×D₇₆	—	2	1	no	—
93	C₂×D₇₆	—	2	1	no	—
94	C₂×D₇₆	—	2	1	no	—
95	C₂×D₇₆	—	2	1	no	—
96	C₂×D₇₆	—	2	1	no	—
97	C₂×D₇₆	C₂×C₈	1	2	yes	—
98	C₂×C₄×D₁₉	—	4	1	no	—
99	C₂×C₄×D₁₉	—	4	1	no	—
100	C₂×C₄×D₁₉	—	8	2	no	—
101	C₂×C₈×C₁₉	—	2	2	no	—
102	C₂×C₈×C₁₉	—	4	1	no	—
103	C₄⋊C₄×C₁₉	—	2	1	no	—
104	C₄⋊C₄×C₁₉	—	2	1	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	#64525	—	2	4	no	—
112	#64525	—	2	4	no	—
113	(C₂×D₁₉)⋊C₄	—	4	1	no	—
114	(C₂×D₁₉)⋊C₄	—	4	1	no	—
115	C₄⋊Dic₁₉	—	2	1	no	—
116	C₄⋊Dic₁₉	—	2	1	no	—
117	C₂×C₁₉⋊C₈	—	2	1	no	—
118	C₂×C₁₉⋊C₈	—	2	1	no	—
119	C₂×C₁₉⋊C₈	—	2	2	no	—
120	C₂×C₁₉⋊C₈	—	4	1	no	—
121	C₂×C₁₉⋊C₈	C₂²⋊C₄	1	1	yes	characteristic
122	C₂×C₁₉⋊C₈	C₂²⋊C₄	1	1	yes	characteristic
123	C₂×C₁₉⋊C₈	C₂²⋊C₄	1	1	yes	characteristic
124	C₂×C₁₉⋊C₈	C₂²⋊C₄	1	1	yes	characteristic
125	C₂×C₁₉⋊C₈	C₂×C₈	1	2	yes	—
126	C₂×C₁₉⋊C₈	M₁₆	1	2	yes	—
127	#9668	—	19	1	no	maximal, Sylow
128	C₂³×C₁₉	—	2	2	no	—
129	C₂³×C₁₉	—	4	1	no	—
130	C₂³×C₁₉	—	4	1	no	—
131	C₂³×C₁₉	—	8	1	no	—
132	C₂³×C₁₉	—	8	1	no	—
133	C₂³×C₁₉	C₄×D₄	1	1	yes	characteristic
134	C₂²×D₁₉	—	2	2	no	—
135	C₂²×D₁₉	—	4	1	no	—
136	C₂²×D₁₉	—	4	1	no	—
137	C₂²×D₁₉	—	8	1	no	—
138	C₂²×D₁₉	—	8	1	no	—
139	D₄×C₁₉	—	2	2	no	—
140	D₄×C₁₉	—	2	2	no	—
141	D₄×C₁₉	—	4	1	no	—
142	D₄×C₁₉	—	4	1	no	—
143	C₂×C₄×C₁₉	—	2	2	no	—
144	C₂×C₄×C₁₉	—	4	1	no	—
145	C₂×C₄×C₁₉	—	4	1	no	—
146	C₂×C₄×C₁₉	—	8	2	no	—
147	C₂×C₄×C₁₉	—	8	2	no	—
148	C₂×C₄×C₁₉	—	8	1	no	—
149	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
150	C₂×C₄×C₁₉	C₄×D₄	1	1	yes	characteristic
151	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
152	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
153	C₂×C₄×C₁₉	#124	1	1	yes	characteristic
154	C₂×C₄×C₁₉	#127	1	1	yes	characteristic
155	C₂×C₄×C₁₉	C₂²×C₈	1	1	yes	characteristic
156	C₂×C₄×C₁₉	C₂×M₁₆	1	1	yes	characteristic
157	C₂×C₄×C₁₉	#131	1	1	yes	characteristic
158	C₂×C₄×C₁₉	#131	1	1	yes	characteristic
159	C₂×Dic₁₉	—	4	1	no	—
160	C₂×Dic₁₉	—	8	1	no	—
161	D₇₆	—	2	2	no	—
162	D₇₆	—	2	2	no	—
163	D₇₆	—	4	1	no	—
164	D₇₆	—	4	1	no	—
165	C₄×D₁₉	—	8	2	no	—
166	C₄×D₁₉	—	8	2	no	—
167	C₈×C₁₉	—	4	2	no	—
168	C₈×C₁₉	—	8	1	no	—
169	C₁₉⋊C₈	—	2	1	no	—
170	C₁₉⋊C₈	—	2	1	no	—
171	C₁₉⋊C₈	—	4	2	no	—
172	C₁₉⋊C₈	—	8	1	no	—
173	C₁₉⋊C₈	C₂²⋊C₈	1	2	yes	—
174	C₁₉⋊C₈	C₂²⋊C₈	1	2	yes	—
175	C₂×C₄×D₈	—	19	1	no	—
176	#1564	—	19	1	no	—
177	#1478	—	19	1	no	—
178	#1478	D₁₉	1	1	yes	characteristic, complemented
179	#1460	—	19	1	no	—
180	#1460	—	19	1	no	—
181	#1450	—	19	1	no	—
182	C₂²×C₁₉	—	2	1	no	—
183	C₂²×C₁₉	—	2	1	no	—
184	C₂²×C₁₉	—	4	2	no	—
185	C₂²×C₁₉	—	8	2	no	—
186	C₂²×C₁₉	—	8	2	no	—
187	C₂²×C₁₉	—	8	1	no	—
188	C₂²×C₁₉	—	8	1	no	—
189	C₂²×C₁₉	#390	1	1	yes	characteristic
190	C₂²×C₁₉	C₈×D₄	1	1	yes	characteristic
191	C₂²×C₁₉	#436	1	1	yes	characteristic
192	C₂×D₁₉	—	4	2	no	—
193	C₂×D₁₉	—	8	2	no	—
194	C₂×D₁₉	—	8	1	no	—
195	C₂×D₁₉	—	8	1	no	—
196	C₂×D₁₉	—	8	2	no	—
197	C₄×C₁₉	—	2	1	no	—
198	C₄×C₁₉	—	2	1	no	—
199	C₄×C₁₉	—	2	1	no	—
200	C₄×C₁₉	—	8	1	no	—
201	C₄×C₁₉	C₂×C₂²⋊C₈	1	1	yes	characteristic
202	C₄×C₁₉	#408	1	1	yes	characteristic
203	C₄×C₁₉	C₈×D₄	1	1	yes	characteristic
204	C₄×C₁₉	#436	1	1	yes	characteristic
205	C₄×C₁₉	#472	1	2	yes	—
206	Dic₁₉	—	8	1	no	—
207	C₂²×D₈	—	19	1	no	—
208	C₂×C₄×D₄	—	19	1	no	—
209	C₂×C₄×D₄	C₂×D₁₉	1	1	yes	characteristic
210	C₄×D₈	—	38	1	no	—
211	C₄×D₈	—	38	1	no	—
212	C₄×D₈	—	38	1	no	—
213	C₄×D₈	—	38	1	no	—
214	#431	—	19	1	no	—
215	#431	—	19	1	no	—
216	#431	C₂×D₁₉	1	1	yes	characteristic
217	#431	C₂×D₁₉	1	1	yes	characteristic
218	C₂×#107	—	19	1	no	—
219	C₂×#102	—	19	1	no	—
220	C₂×#102	—	19	1	no	—
221	C₂×C₄×C₈	—	19	1	no	—
222	#335	—	38	1	no	—
223	#334	—	38	1	no	—
224	D₄⋊C₈	—	2	2	no	—
225	D₄⋊C₈	—	38	2	no	—
226	#323	—	38	2	no	—
227	#323	—	38	2	no	—
228	#322	—	38	1	no	—
229	C₈²	—	38	1	no	—
230	C₂×C₁₉	—	2	1	no	—
231	C₂×C₁₉	—	2	1	no	—
232	C₂×C₁₉	—	8	2	no	—
233	C₂×C₁₉	#1954	1	1	yes	characteristic
234	C₂×C₁₉	#1976	1	1	yes	characteristic
235	C₂×C₁₉	#1978	1	1	yes	characteristic
236	D₁₉	—	8	2	no	—
237	C₂²×D₄	—	19	1	no	—
238	C₂²×D₄	C₄×D₁₉	1	1	yes	characteristic
239	C₂³×C₄	—	2	1	no	—
240	C₂³×C₄	—	38	1	no	—
241	C₂×D₈	—	19	4	no	—
242	C₂×D₈	—	38	2	no	—
243	C₂×D₈	—	38	1	no	—
244	C₂×D₈	—	38	1	no	—
245	C₂²×C₈	—	19	1	no	—
246	C₂²×C₈	—	19	1	no	—
247	C₄×D₄	—	2	1	no	—
248	C₄×D₄	—	2	1	no	—
249	C₄×D₄	—	2	1	no	—
250	C₄×D₄	—	2	1	no	—
251	C₄×D₄	—	38	1	no	—
252	C₄×D₄	—	38	1	no	—
253	C₄×D₄	—	38	1	no	—
254	C₄×D₄	—	38	1	no	—
255	C₂×C₄⋊C₄	—	19	1	no	—
256	C₂×C₄⋊C₄	C₄×D₁₉	1	1	yes	characteristic
257	C₂×C₂²⋊C₄	—	2	1	no	—
258	C₂×C₂²⋊C₄	—	38	1	no	—
259	C₂×C₄²	C₂²×D₁₉	1	1	yes	characteristic
260	#107	—	38	1	no	—
261	#107	—	38	1	no	—
262	C₄⋊C₈	—	2	1	no	—
263	C₄⋊C₈	—	38	1	no	—
264	C₄⋊C₈	—	38	1	no	—
265	C₄⋊C₈	C₂²⋊D₁₉	1	2	yes	—
266	#102	—	38	1	no	—
267	#102	—	38	1	no	—
268	#102	—	38	1	no	—
269	#102	—	38	1	no	—
270	C₂²⋊C₈	—	2	1	no	—
271	C₂²⋊C₈	—	2	1	no	—
272	C₂²⋊C₈	—	19	2	no	—
273	C₂²⋊C₈	—	38	1	no	—
274	C₄×C₈	—	2	1	no	—
275	C₄×C₈	—	2	1	no	—
276	C₄×C₈	—	19	1	no	—
277	C₄×C₈	—	19	1	no	—
278	C₄×C₈	—	19	1	no	—
279	C₄×C₈	—	19	1	no	—
280	C₄×C₈	—	38	1	no	—
281	C₄×C₈	—	38	1	no	—
282	C₁₉	#9668	1	1	yes	characteristic, complemented, Sylow
283	C₂⁴	—	2	1	no	—
284	C₂⁴	—	38	1	no	—
285	C₂×D₄	—	2	1	no	—
286	C₂×D₄	—	2	1	no	—
287	C₂×D₄	—	2	1	no	—
288	C₂×D₄	—	2	1	no	—
289	C₂×D₄	—	2	1	no	—
290	C₂×D₄	—	19	2	no	—
291	C₂×D₄	—	38	1	no	—
292	C₂×D₄	—	38	1	no	—
293	C₂×D₄	—	38	1	no	—
294	C₂×D₄	—	38	1	no	—
295	C₂×D₄	—	38	1	no	—
296	C₂×D₄	C₈×D₁₉	1	2	yes	—
297	C₂²×C₄	—	2	1	no	—
298	C₂²×C₄	—	4	1	no	—
299	C₂²×C₄	—	4	1	no	—
300	C₂²×C₄	—	8	2	no	—
301	C₂²×C₄	—	38	1	no	—
302	C₂²×C₄	—	76	1	no	—
303	C₂²×C₄	—	76	1	no	—
304	C₂²×C₄	—	152	2	no	—
305	C₂²×C₄	C₂×C₄×D₁₉	1	1	yes	characteristic
306	C₂²×C₄	D₄×D₁₉	1	1	yes	characteristic
307	C₂²×C₄	#64543	1	1	yes	characteristic
308	D₈	—	38	4	no	—
309	D₈	—	38	4	no	—
310	C₂×C₈	—	2	2	no	—
311	C₂×C₈	—	4	1	no	—
312	C₂×C₈	—	19	1	no	—
313	C₂×C₈	—	19	1	no	—
314	C₂×C₈	—	19	2	no	—
315	C₂×C₈	—	19	2	no	—
316	C₂×C₈	—	19	1	no	—
317	C₂×C₈	—	19	1	no	—
318	C₂×C₈	—	38	1	no	—
319	C₂×C₈	—	38	1	no	—
320	C₂×C₈	—	38	2	no	—
321	C₂×C₈	—	76	1	no	—
322	C₄⋊C₄	—	2	1	no	—
323	C₄⋊C₄	—	2	1	no	—
324	C₄⋊C₄	—	38	1	no	—
325	C₄⋊C₄	—	38	1	no	—
326	C₂²⋊C₄	—	4	1	no	—
327	C₂²⋊C₄	—	4	1	no	—
328	C₂²⋊C₄	—	76	1	no	—
329	C₂²⋊C₄	—	76	1	no	—
330	C₄²	#64541	1	1	yes	characteristic
331	C₄²	D₄×D₁₉	1	1	yes	characteristic
332	C₄²	D₄×D₁₉	1	1	yes	characteristic
333	C₄²	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
334	C₂³	—	2	2	no	—
335	C₂³	—	4	1	no	—
336	C₂³	—	4	1	no	—
337	C₂³	—	8	1	no	—
338	C₂³	—	8	1	no	—
339	C₂³	—	38	2	no	—
340	C₂³	—	76	1	no	—
341	C₂³	—	76	1	no	—
342	C₂³	—	152	1	no	—
343	C₂³	—	152	1	no	—
344	C₂³	(C₂²⋊D₁₉)⋊C₄	1	1	yes	characteristic
345	D₄	—	2	2	no	—
346	D₄	—	2	2	no	—
347	D₄	—	4	1	no	—
348	D₄	—	4	1	no	—
349	D₄	—	38	2	no	—
350	D₄	—	38	2	no	—
351	D₄	—	76	1	no	—
352	D₄	—	76	1	no	—
353	C₂×C₄	—	2	2	no	—
354	C₂×C₄	—	4	1	no	—
355	C₂×C₄	—	4	1	no	—
356	C₂×C₄	—	8	2	no	—
357	C₂×C₄	—	8	2	no	—
358	C₂×C₄	—	8	1	no	—
359	C₂×C₄	—	76	1	no	—
360	C₂×C₄	—	152	2	no	—
361	C₂×C₄	—	152	2	no	—
362	C₂×C₄	—	152	1	no	—
363	C₂×C₄	C₂²⋊C₄×D₁₉	1	1	yes	characteristic
364	C₂×C₄	#10597330	1	1	yes	characteristic
365	C₂×C₄	#10597331	1	1	yes	characteristic
366	C₂×C₄	C₂×C₈×D₁₉	1	1	yes	characteristic
367	C₂×C₄	#10597347	1	1	yes	characteristic
368	C₂×C₄	M₁₆×D₁₉	1	1	yes	characteristic
369	C₂×C₄	#10597353	1	1	yes	characteristic
370	C₂×C₄	C₄×C₂²⋊D₁₉	1	1	yes	characteristic
371	C₂×C₄	#10597385	1	1	yes	characteristic
372	C₂×C₄	#10597386	1	1	yes	characteristic
373	C₈	—	4	2	no	—
374	C₈	—	8	1	no	—
375	C₈	—	19	2	no	—
376	C₈	—	19	2	no	—
377	C₈	—	38	1	no	—
378	C₈	—	38	1	no	—
379	C₈	—	76	2	no	—
380	C₈	—	152	1	no	—
381	C₂²	—	2	1	no	—
382	C₂²	—	2	1	no	—
383	C₂²	—	4	2	no	—
384	C₂²	—	8	2	no	—
385	C₂²	—	8	2	no	—
386	C₂²	—	8	1	no	—
387	C₂²	—	8	1	no	—
388	C₂²	—	76	2	no	—
389	C₂²	—	152	2	no	—
390	C₂²	—	152	2	no	—
391	C₂²	—	152	1	no	—
392	C₂²	—	152	1	no	—
393	C₂²	#11926444	1	1	yes	characteristic
394	C₂²	(C₂²⋊D₁₉)⋊C₈	1	1	yes	characteristic
395	C₂²	#11926619	1	1	yes	characteristic
396	C₄	—	2	1	no	—
397	C₄	—	2	1	no	—
398	C₄	—	2	1	no	—
399	C₄	—	8	1	no	—
400	C₄	—	152	1	no	—
401	C₄	C₂²⋊C₈×D₁₉	1	1	yes	characteristic
402	C₄	#11926509	1	1	yes	characteristic
403	C₄	C₈×C₂²⋊D₁₉	1	1	yes	characteristic
404	C₄	#11926620	1	1	yes	characteristic
405	C₄	#11926812	1	2	yes	—
406	C₂	—	2	1	no	—
407	C₂	—	2	1	no	—
408	C₂	—	8	2	no	—
409	C₂	—	152	2	no	—
410	C₂	#14564427	1	1	yes	characteristic
411	C₂	#14564532	1	1	yes	characteristic
412	C₂	#14564544	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	#10597385
commutator	C₂×C₄×C₁₉	C₂²×C₈
Frattini	C₂×C₄²	C₂²×D₁₉
Fitting	C₁₉×#1478	C₂
socle	C₂²×C₁₉	#390
prime radical	C₂²×#64525	C₄
cosocle	C₂×C₄²×C₁₉	C₂³
hypercenter	#1478	D₁₉
hypocenter	C₁₉	#9668
LCS	G ▷ C₂×C₄×C₁₉ ▷ C₂×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #1478

Complements

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

N	H ≅ G/N	type
2. #14562381	C₂	semidirect
3. #14562025	C₂	semidirect
4. #14561956	C₂	semidirect
5. #14561955	C₂	semidirect
6. #14561919	C₂	semidirect
7. C₁₉×#1478	C₂	semidirect
45. C₂×#64525	C₈	semidirect
178. #1478	D₁₉	semidirect
282. C₁₉	#9668	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₄×#64525	2
#14562381	2
#14562025	2
#14561956	2
#14561955	2
#14561919	2
C₁₉×#1478	2
#9668	19