Subgroups — #18085322

Order 4864.

754 conjugacy classes of subgroups.

The subgroup lattice has 428 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11926920	C₂	1	1	yes	maximal, characteristic
2	C₂×#11926892	C₂	1	1	yes	maximal, characteristic, complemented
3	#14564442	C₂	1	1	yes	maximal, characteristic, complemented
4	#14564441	C₂	1	1	yes	maximal, characteristic, complemented
5	#14564438	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉⋊#1273	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×C₁₉×#486	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂²×#64525	—	2	2	no	—
9	C₂×#10597320	C₂²	1	1	yes	characteristic
10	#11926920	—	2	2	no	—
11	#11926920	—	2	2	no	—
12	#11926892	—	2	2	no	—
13	#11926892	—	2	2	no	—
14	C₂×#10597292	—	2	2	no	—
15	C₂×#10597278	—	2	2	no	—
16	C₂×#10597289	—	2	2	no	—
17	C₂×#10597266	—	2	2	no	—
18	C₂×C₄×C₁₉⋊C₈	C₂²	1	1	yes	characteristic
19	C₂×C₄×C₁₉⋊C₈	C₂²	1	1	yes	characteristic
20	#11926414	C₂²	1	1	yes	characteristic
21	C₂×C₁₉×C₄⋊Q₈	C₂²	1	1	yes	characteristic
22	C₂×C₁₉×#127	C₂²	1	1	yes	characteristic
23	C₁₉×#486	—	2	2	no	—
24	C₁₉×#486	—	2	2	no	—
25	C₂×C₁₉×#102	—	2	2	no	—
26	C₂×C₄×C₈×C₁₉	C₂²	1	1	yes	characteristic
27	C₂²×Q₈×C₁₉	—	2	1	no	—
28	C₂²×D₄×C₁₉	—	2	1	no	—
29	C₂²×D₄×C₁₉	—	2	1	no	—
30	C₂²×D₄×C₁₉	—	2	1	no	—
31	C₂²×D₇₆	—	2	1	no	—
32	C₂²×D₇₆	—	2	1	no	—
33	C₂²×D₇₆	—	2	1	no	—
34	C₂²×C₈×C₁₉	D₄	1	2	yes	—
35	C₁₉×C₄⋊Q₈	—	2	1	no	—
36	C₁₉×C₄⋊Q₈	—	2	1	no	—
37	C₁₉×C₄⋊Q₈	—	2	1	no	—
38	C₁₉×C₄⋊Q₈	D₄	1	2	yes	—
39	C₁₉×#127	—	2	1	no	—
40	C₁₉×#127	—	2	1	no	—
41	C₁₉×#127	—	2	1	no	—
42	C₁₉×#127	D₄	1	2	yes	—
43	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
44	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
45	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
46	C₂×#64525	—	2	8	no	—
47	C₂×#64525	—	4	4	no	—
48	C₂×#64525	—	4	4	no	—
49	C₂×C₄⋊Dic₁₉	—	2	1	no	—
50	C₂×C₄⋊Dic₁₉	—	2	1	no	—
51	C₂×C₄⋊Dic₁₉	—	2	1	no	—
52	C₂²×C₁₉⋊C₈	D₄	1	2	yes	—
53	C₂²×C₁₉⋊C₈	D₄	1	2	yes	—
54	#10597320	—	2	1	no	—
55	#10597320	—	2	1	no	—
56	#10597320	—	2	1	no	—
57	#10597320	D₄	1	2	yes	—
58	C₁₉×#102	—	2	8	no	—
59	C₄×C₈×C₁₉	—	2	1	no	—
60	C₄×C₈×C₁₉	—	2	1	no	—
61	#10597292	—	4	4	no	—
62	#10597289	—	4	4	no	—
63	#10597278	—	4	4	no	—
64	#10597266	—	2	8	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	C₂⁴×C₁₉	—	4	1	no	—
70	C₂³×D₁₉	—	4	1	no	—
71	C₂×Q₈×C₁₉	—	2	2	no	—
72	C₂×Q₈×C₁₉	—	4	1	no	—
73	C₂×Q₈×C₁₉	—	4	2	no	—
74	C₂×Q₈×C₁₉	—	4	2	no	—
75	C₂×D₄×C₁₉	—	2	2	no	—
76	C₂×D₄×C₁₉	—	2	2	no	—
77	C₂×D₄×C₁₉	—	2	2	no	—
78	C₂×D₄×C₁₉	—	4	1	no	—
79	C₂×D₄×C₁₉	—	4	1	no	—
80	C₂×D₄×C₁₉	—	4	1	no	—
81	C₂×D₄×C₁₉	—	4	2	no	—
82	C₂×D₄×C₁₉	—	4	2	no	—
83	C₂×D₄×C₁₉	—	4	2	no	—
84	C₂×D₄×C₁₉	—	4	2	no	—
85	C₂×D₄×C₁₉	—	4	2	no	—
86	C₂×D₄×C₁₉	—	4	2	no	—
87	C₂²×C₄×C₁₉	—	4	1	no	—
88	C₂²×C₄×C₁₉	C₂×D₄	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	C₂²×Dic₁₉	—	4	1	no	—
92	C₂×D₇₆	—	2	2	no	—
93	C₂×D₇₆	—	2	2	no	—
94	C₂×D₇₆	—	2	2	no	—
95	C₂×D₇₆	—	4	2	no	—
96	C₂×D₇₆	—	4	2	no	—
97	C₂×D₇₆	—	4	2	no	—
98	C₂×D₇₆	—	4	2	no	—
99	C₂×D₇₆	—	4	2	no	—
100	C₂×D₇₆	—	4	2	no	—
101	C₂×D₇₆	—	4	1	no	—
102	C₂×D₇₆	—	4	1	no	—
103	C₂×D₇₆	—	4	1	no	—
104	C₂×C₈×C₁₉	—	2	2	no	—
105	C₂×C₈×C₁₉	—	2	2	no	—
106	C₂×C₈×C₁₉	—	2	2	no	—
107	C₄⋊C₄×C₁₉	—	2	2	no	—
108	C₄⋊C₄×C₁₉	—	2	2	no	—
109	C₄⋊C₄×C₁₉	—	4	1	no	—
110	C₄⋊C₄×C₁₉	—	4	1	no	—
111	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
112	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
113	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
114	C₄²×C₁₉	#41	1	1	yes	characteristic
115	#64525	—	4	16	no	—
116	C₄⋊Dic₁₉	—	4	2	no	—
117	C₄⋊Dic₁₉	—	4	2	no	—
118	C₄⋊Dic₁₉	—	4	2	no	—
119	C₂×C₁₉⋊C₈	—	2	2	no	—
120	C₂×C₁₉⋊C₈	—	2	2	no	—
121	C₂×C₁₉⋊C₈	—	2	2	no	—
122	C₂×C₁₉⋊C₈	—	2	2	no	—
123	C₂×C₁₉⋊C₈	—	2	2	no	—
124	C₂×C₁₉⋊C₈	D₈	1	4	yes	—
125	#10307	—	19	1	no	maximal, Sylow
126	C₂³×C₁₉	—	4	2	no	—
127	C₂³×C₁₉	—	8	1	no	—
128	C₂³×C₁₉	—	8	1	no	—
129	C₂³×C₁₉	—	8	1	no	—
130	C₂³×C₁₉	—	8	1	no	—
131	C₂³×C₁₉	—	8	1	no	—
132	C₂³×C₁₉	—	8	1	no	—
133	C₂³×C₁₉	#127	1	1	yes	characteristic
134	C₂²×D₁₉	—	4	2	no	—
135	C₂²×D₁₉	—	8	1	no	—
136	C₂²×D₁₉	—	8	1	no	—
137	C₂²×D₁₉	—	8	1	no	—
138	C₂²×D₁₉	—	8	1	no	—
139	C₂²×D₁₉	—	8	1	no	—
140	C₂²×D₁₉	—	8	1	no	—
141	Q₈×C₁₉	—	4	4	no	—
142	Q₈×C₁₉	—	8	2	no	—
143	D₄×C₁₉	—	4	4	no	—
144	D₄×C₁₉	—	4	4	no	—
145	D₄×C₁₉	—	4	4	no	—
146	D₄×C₁₉	—	8	2	no	—
147	D₄×C₁₉	—	8	2	no	—
148	D₄×C₁₉	—	8	2	no	—
149	C₂×C₄×C₁₉	—	4	2	no	—
150	C₂×C₄×C₁₉	—	8	1	no	—
151	C₂×C₄×C₁₉	—	8	1	no	—
152	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
153	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
154	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
155	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
156	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
157	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
158	C₂×C₄×C₁₉	C₂×D₈	1	2	yes	—
159	C₂×C₄×C₁₉	#135	1	2	yes	—
160	C₂×C₄×C₁₉	#135	1	2	yes	—
161	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	2	yes	—
162	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	2	yes	—
163	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	2	yes	—
164	C₂×Dic₁₉	—	8	1	no	—
165	C₂×Dic₁₉	—	8	1	no	—
166	C₂×Dic₁₉	—	8	1	no	—
167	D₇₆	—	4	4	no	—
168	D₇₆	—	4	4	no	—
169	D₇₆	—	4	4	no	—
170	D₇₆	—	8	2	no	—
171	D₇₆	—	8	2	no	—
172	D₇₆	—	8	2	no	—
173	C₈×C₁₉	—	4	2	no	—
174	C₁₉⋊C₈	—	2	4	no	—
175	C₁₉⋊C₈	—	4	2	no	—
176	C₂×#493	—	19	1	no	—
177	C₂×#486	—	19	1	no	—
178	C₂×#486	D₁₉	1	1	yes	characteristic, complemented
179	#1957	—	19	1	no	—
180	#1957	—	19	1	no	—
181	#1956	—	19	1	no	—
182	#1273	—	19	1	no	—
183	C₂²×C₁₉	—	8	2	no	—
184	C₂²×C₁₉	—	8	2	no	—
185	C₂²×C₁₉	—	8	2	no	—
186	C₂²×C₁₉	—	16	1	no	—
187	C₂²×C₁₉	—	16	1	no	—
188	C₂²×C₁₉	—	16	1	no	—
189	C₂²×C₁₉	—	16	1	no	—
190	C₂²×C₁₉	#392	1	1	yes	characteristic
191	C₂²×C₁₉	#493	1	1	yes	characteristic
192	C₂²×C₁₉	#495	1	1	yes	characteristic
193	C₂²×C₁₉	#495	1	1	yes	characteristic
194	C₂²×C₁₉	#496	1	1	yes	characteristic
195	C₂²×C₁₉	#496	1	1	yes	characteristic
196	C₂²×C₁₉	#496	1	1	yes	characteristic
197	C₂×D₁₉	—	8	2	no	—
198	C₂×D₁₉	—	8	2	no	—
199	C₂×D₁₉	—	8	2	no	—
200	C₂×D₁₉	—	16	1	no	—
201	C₂×D₁₉	—	16	1	no	—
202	C₂×D₁₉	—	16	1	no	—
203	C₂×D₁₉	—	16	1	no	—
204	C₄×C₁₉	—	8	2	no	—
205	C₄×C₁₉	#447	1	2	yes	—
206	C₄×C₁₉	#449	1	2	yes	—
207	C₄×C₁₉	#449	1	2	yes	—
208	C₄×C₁₉	#459	1	2	yes	—
209	C₄×C₁₉	#463	1	2	yes	—
210	C₄×C₁₉	#463	1	2	yes	—
211	Dic₁₉	—	16	1	no	—
212	C₂²×D₈	—	38	2	no	—
213	C₂×C₄⋊Q₈	C₂×D₁₉	1	1	yes	characteristic
214	C₂×#127	—	19	1	no	—
215	C₂×#127	C₂×D₁₉	1	1	yes	characteristic
216	#493	—	38	2	no	—
217	#493	—	38	2	no	—
218	#486	—	2	2	no	—
219	#486	—	2	2	no	—
220	#486	—	38	2	no	—
221	#486	—	38	2	no	—
222	C₂×#103	—	38	2	no	—
223	C₂×#102	—	2	2	no	—
224	C₂×#102	—	38	2	no	—
225	C₂×#102	—	38	2	no	—
226	C₂×#102	—	38	2	no	—
227	C₂×C₄×C₈	—	19	1	no	—
228	C₂×C₄×C₈	—	19	1	no	—
229	C₂×C₄×C₈	C₂×D₁₉	1	1	yes	characteristic
230	#384	—	19	1	no	—
231	C₂×C₁₉	—	16	2	no	—
232	C₂×C₁₉	#1709	1	1	yes	characteristic
233	C₂×C₁₉	#1717	1	1	yes	characteristic
234	C₂×C₁₉	#1717	1	1	yes	characteristic
235	C₂×C₁₉	#1721	1	1	yes	characteristic
236	C₂×C₁₉	#2011	1	1	yes	characteristic
237	C₂×C₁₉	#2012	1	1	yes	characteristic
238	C₂×C₁₉	#2012	1	1	yes	characteristic
239	D₁₉	—	16	2	no	—
240	C₂²×Q₈	—	2	1	no	—
241	C₂²×D₄	—	2	1	no	—
242	C₂²×D₄	—	2	1	no	—
243	C₂²×D₄	—	2	1	no	—
244	C₂²×D₄	—	38	1	no	—
245	C₂²×D₄	—	38	1	no	—
246	C₂²×D₄	—	38	1	no	—
247	C₂×D₈	—	38	8	no	—
248	C₂×D₈	—	76	4	no	—
249	C₂×D₈	—	76	4	no	—
250	C₂²×C₈	—	19	2	no	—
251	C₂²×C₈	—	19	2	no	—
252	C₂²×C₈	C₂²⋊D₁₉	1	2	yes	—
253	C₄⋊Q₈	—	2	1	no	—
254	C₄⋊Q₈	—	2	1	no	—
255	C₄⋊Q₈	—	2	1	no	—
256	C₄⋊Q₈	C₂²⋊D₁₉	1	2	yes	—
257	#127	—	2	1	no	—
258	#127	—	2	1	no	—
259	#127	—	2	1	no	—
260	#127	—	19	2	no	—
261	#127	—	38	1	no	—
262	#127	—	38	1	no	—
263	#127	—	38	1	no	—
264	#127	C₂²⋊D₁₉	1	2	yes	—
265	C₂×C₄⋊C₄	—	2	1	no	—
266	C₂×C₄⋊C₄	—	2	1	no	—
267	C₂×C₄⋊C₄	—	38	1	no	—
268	C₂×C₄⋊C₄	—	38	1	no	—
269	C₂×C₄⋊C₄	—	38	1	no	—
270	C₂×C₄²	C₂²×D₁₉	1	1	yes	characteristic
271	#103	—	76	4	no	—
272	#102	—	2	8	no	—
273	#102	—	38	8	no	—
274	#102	—	76	4	no	—
275	#102	—	76	4	no	—
276	C₄×C₈	—	2	1	no	—
277	C₄×C₈	—	2	1	no	—
278	C₄×C₈	—	38	1	no	—
279	C₄×C₈	—	38	1	no	—
280	C₄×C₈	—	38	1	no	—
281	C₄×C₈	—	38	1	no	—
282	C₁₉	#10307	1	1	yes	characteristic, complemented, Sylow
283	C₂⁴	—	4	1	no	—
284	C₂⁴	—	76	1	no	—
285	C₂×Q₈	—	2	2	no	—
286	C₂×Q₈	—	4	1	no	—
287	C₂×Q₈	—	4	2	no	—
288	C₂×Q₈	—	4	2	no	—
289	C₂×D₄	—	2	2	no	—
290	C₂×D₄	—	2	2	no	—
291	C₂×D₄	—	2	2	no	—
292	C₂×D₄	—	4	1	no	—
293	C₂×D₄	—	4	1	no	—
294	C₂×D₄	—	4	1	no	—
295	C₂×D₄	—	4	2	no	—
296	C₂×D₄	—	4	2	no	—
297	C₂×D₄	—	4	2	no	—
298	C₂×D₄	—	4	2	no	—
299	C₂×D₄	—	4	2	no	—
300	C₂×D₄	—	4	2	no	—
301	C₂×D₄	—	38	2	no	—
302	C₂×D₄	—	38	2	no	—
303	C₂×D₄	—	38	2	no	—
304	C₂×D₄	—	76	1	no	—
305	C₂×D₄	—	76	1	no	—
306	C₂×D₄	—	76	2	no	—
307	C₂×D₄	—	76	2	no	—
308	C₂×D₄	—	76	1	no	—
309	C₂×D₄	—	76	2	no	—
310	C₂×D₄	—	76	2	no	—
311	C₂×D₄	—	76	2	no	—
312	C₂×D₄	—	76	2	no	—
313	C₂²×C₄	—	4	1	no	—
314	C₂²×C₄	—	76	1	no	—
315	C₂²×C₄	D₄×D₁₉	1	1	yes	characteristic
316	C₂²×C₄	D₄×D₁₉	1	1	yes	characteristic
317	C₂²×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
318	D₈	—	76	16	no	—
319	C₂×C₈	—	2	2	no	—
320	C₂×C₈	—	2	2	no	—
321	C₂×C₈	—	2	2	no	—
322	C₂×C₈	—	19	4	no	—
323	C₂×C₈	—	38	2	no	—
324	C₂×C₈	—	38	2	no	—
325	C₂×C₈	—	38	2	no	—
326	C₂×C₈	—	38	2	no	—
327	C₂×C₈	—	38	2	no	—
328	C₄⋊C₄	—	2	2	no	—
329	C₄⋊C₄	—	2	2	no	—
330	C₄⋊C₄	—	4	1	no	—
331	C₄⋊C₄	—	4	1	no	—
332	C₄⋊C₄	—	76	2	no	—
333	C₄⋊C₄	—	76	2	no	—
334	C₄⋊C₄	—	76	2	no	—
335	C₄²	D₄×D₁₉	1	1	yes	characteristic
336	C₄²	#64543	1	1	yes	characteristic
337	C₄²	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
338	C₄²	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
339	C₂³	—	4	2	no	—
340	C₂³	—	8	1	no	—
341	C₂³	—	8	1	no	—
342	C₂³	—	8	1	no	—
343	C₂³	—	8	1	no	—
344	C₂³	—	8	1	no	—
345	C₂³	—	8	1	no	—
346	C₂³	—	76	2	no	—
347	C₂³	—	152	1	no	—
348	C₂³	—	152	1	no	—
349	C₂³	—	152	1	no	—
350	C₂³	—	152	1	no	—
351	C₂³	—	152	1	no	—
352	C₂³	—	152	1	no	—
353	C₂³	#10597386	1	1	yes	characteristic
354	Q₈	—	4	4	no	—
355	Q₈	—	8	2	no	—
356	D₄	—	4	4	no	—
357	D₄	—	4	4	no	—
358	D₄	—	4	4	no	—
359	D₄	—	8	2	no	—
360	D₄	—	8	2	no	—
361	D₄	—	8	2	no	—
362	D₄	—	76	4	no	—
363	D₄	—	76	4	no	—
364	D₄	—	76	4	no	—
365	D₄	—	152	2	no	—
366	D₄	—	152	2	no	—
367	D₄	—	152	2	no	—
368	C₂×C₄	—	4	2	no	—
369	C₂×C₄	—	8	1	no	—
370	C₂×C₄	—	8	1	no	—
371	C₂×C₄	—	152	1	no	—
372	C₂×C₄	—	152	1	no	—
373	C₂×C₄	—	152	1	no	—
374	C₂×C₄	D₈×D₁₉	1	2	yes	—
375	C₂×C₄	#10597357	1	2	yes	—
376	C₂×C₄	#10597360	1	2	yes	—
377	C₂×C₄	#10597362	1	2	yes	—
378	C₂×C₄	#10597383	1	1	yes	characteristic
379	C₂×C₄	#10597383	1	1	yes	characteristic
380	C₂×C₄	#10597384	1	1	yes	characteristic
381	C₂×C₄	#10597385	1	1	yes	characteristic
382	C₂×C₄	#10597385	1	1	yes	characteristic
383	C₂×C₄	#10597395	1	2	yes	—
384	C₂×C₄	#10597396	1	2	yes	—
385	C₂×C₄	#10597399	1	1	yes	characteristic
386	C₈	—	4	2	no	—
387	C₈	—	38	4	no	—
388	C₈	—	76	2	no	—
389	C₂²	—	8	2	no	—
390	C₂²	—	8	2	no	—
391	C₂²	—	8	2	no	—
392	C₂²	—	16	1	no	—
393	C₂²	—	16	1	no	—
394	C₂²	—	16	1	no	—
395	C₂²	—	16	1	no	—
396	C₂²	—	304	1	no	—
397	C₂²	—	304	1	no	—
398	C₂²	—	304	1	no	—
399	C₂²	—	304	1	no	—
400	C₂²	—	152	2	no	—
401	C₂²	—	152	2	no	—
402	C₂²	—	152	2	no	—
403	C₂²	#11926452	1	1	yes	characteristic
404	C₂²	#11926919	1	1	yes	characteristic
405	C₂²	#11926925	1	1	yes	characteristic
406	C₂²	#11926926	1	1	yes	characteristic
407	C₂²	#11926930	1	1	yes	characteristic
408	C₂²	#11926932	1	1	yes	characteristic
409	C₂²	#11926934	1	1	yes	characteristic
410	C₄	—	8	2	no	—
411	C₄	—	304	1	no	—
412	C₄	#11926676	1	2	yes	—
413	C₄	#11926688	1	2	yes	—
414	C₄	#11926689	1	2	yes	—
415	C₄	#11926737	1	2	yes	—
416	C₄	#11926756	1	2	yes	—
417	C₄	#11926761	1	2	yes	—
418	C₂	—	16	2	no	—
419	C₂	—	304	2	no	—
420	C₂	#14563239	1	1	yes	characteristic
421	C₂	#14563271	1	1	yes	characteristic
422	C₂	#14563276	1	1	yes	characteristic
423	C₂	#14563303	1	1	yes	characteristic
424	C₂	#14564704	1	1	yes	characteristic
425	C₂	#14564709	1	1	yes	characteristic
426	C₂	#14564712	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	#10597386
commutator, cosocle	C₂×C₄²×C₁₉	C₂³
Frattini	C₂×C₄²	C₂²×D₁₉
Fitting	C₂×C₁₉×#486	C₂
socle	C₂³×C₁₉	#127
prime radical	C₂×#11926920	C₂
hypercenter	C₂×#486	D₁₉
hypocenter	C₁₉	#10307
LCS	G ▷ C₂×C₄²×C₁₉ ▷ C₂²×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂³ ◁ C₂×C₄² ◁ C₂×#486

Complements

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

N	H ≅ G/N	type
2. C₂×#11926892	C₂	semidirect
3. #14564442	C₂	semidirect
4. #14564441	C₂	semidirect
5. #14564438	C₂	semidirect
6. C₁₉⋊#1273	C₂	semidirect
7. C₂×C₁₉×#486	C₂	semidirect
178. C₂×#486	D₁₉	semidirect
282. C₁₉	#10307	semidirect

Maximal subgroups

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

subgroup	index
C₂×#11926920	2
C₂×#11926892	2
#14564442	2
#14564441	2
#14564438	2
C₁₉⋊#1273	2
C₂×C₁₉×#486	2
#10307	19