Subgroups — #14575359

Order 2432.

494 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	C₂×#10597362	C₂	1	1	yes	maximal, characteristic, complemented
2	#11927213	C₂	1	1	yes	maximal, characteristic, complemented
3	#11927193	C₂	1	1	yes	maximal, characteristic, complemented
4	#11926915	C₂	1	1	yes	maximal, characteristic, complemented
5	#11926773	C₂	1	1	yes	maximal, characteristic, complemented
6	#11926770	C₂	1	1	yes	maximal, characteristic, complemented
7	#11926752	C₂	1	1	yes	maximal, characteristic, complemented
8	#11926737	C₂	1	1	yes	maximal, characteristic, complemented
9	#11926706	C₂	1	1	yes	maximal, characteristic, complemented
10	#11926705	C₂	1	1	yes	maximal, characteristic, complemented
11	#11926689	C₂	1	1	yes	maximal, characteristic, complemented
12	#11926686	C₂	1	1	yes	maximal, characteristic, complemented
13	SD₁₆×Dic₁₉	C₂	1	1	yes	maximal, characteristic, complemented
14	C₈×C₂²⋊D₁₉	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×C₁₉×#135	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#41×C₁₉	C₂²	1	1	yes	characteristic
17	C₂×#41×C₁₉	C₂²	1	1	yes	characteristic
18	C₂×#64545	C₂²	1	1	yes	characteristic
19	C₂×#64543	C₂²	1	1	yes	characteristic
20	C₁₉×#135	—	2	4	no	—
21	C₂×Q₁₆×C₁₉	C₂²	1	1	yes	characteristic
22	C₂×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic
23	C₂×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic
24	C₂×D₈×C₁₉	C₂²	1	1	yes	characteristic
25	C₂²×C₈×C₁₉	C₂²	1	1	yes	characteristic
26	#10597392	C₂²	1	1	yes	characteristic
27	Q₈×Dic₁₉	C₂²	1	1	yes	characteristic
28	#10597390	C₂²	1	1	yes	characteristic
29	C₂×#64528	C₂²	1	1	yes	characteristic
30	C₂×#64527	C₂²	1	1	yes	characteristic
31	#10597386	—	2	1	no	—
32	#10597386	C₂²	1	1	yes	characteristic
33	#10597385	—	2	1	no	—
34	#10597384	—	2	1	no	—
35	#10597384	C₂²	1	1	yes	characteristic
36	#10597381	—	2	1	no	—
37	D₄×Dic₁₉	C₂²	1	1	yes	characteristic
38	C₂×#64526	C₂²	1	1	yes	characteristic
39	C₂×#64525	C₂²	1	1	yes	characteristic
40	#10597376	—	2	1	no	—
41	#10597376	C₂²	1	1	yes	characteristic
42	#10597375	—	2	1	no	—
43	C₄×C₂²⋊D₁₉	—	2	1	no	—
44	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic
45	#10597370	C₂²	1	1	yes	characteristic
46	C₂×Dic₁₉⋊C₄	—	2	1	no	—
47	#10597362	—	2	4	no	—
48	C₂×#64516	C₂²	1	1	yes	characteristic
49	C₂×C₈×D₁₉	C₂²	1	1	yes	characteristic
50	#10597292	C₂²	1	1	yes	characteristic
51	#10597292	C₂²	1	1	yes	characteristic
52	#10597289	C₂²	1	1	yes	characteristic
53	#10597289	C₂²	1	1	yes	characteristic
54	C₂²⋊(C₁₉⋊C₈)	C₂²	1	1	yes	characteristic
55	#10597278	C₂²	1	1	yes	characteristic
56	(C₂×D₁₉)⋊C₈	C₂²	1	1	yes	characteristic
57	#10597274	C₂²	1	1	yes	characteristic
58	#10597273	C₂²	1	1	yes	characteristic
59	Dic₁₉⋊C₈	C₂²	1	1	yes	characteristic
60	C₈×Dic₁₉	C₂²	1	1	yes	characteristic
61	#41×C₁₉	—	2	2	no	—
62	#41×C₁₉	—	2	2	no	—
63	#41×C₁₉	—	4	1	no	—
64	#41×C₁₉	—	4	1	no	—
65	C₂×Q₈×C₁₉	C₂³	1	1	yes	characteristic
66	C₂×Q₈×C₁₉	C₂³	1	1	yes	characteristic
67	C₂×D₄×C₁₉	—	2	1	no	—
68	C₂×D₄×C₁₉	—	2	1	no	—
69	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
70	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
71	C₂²×C₄×C₁₉	—	2	1	no	—
72	C₂²×C₄×C₁₉	—	2	1	no	—
73	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
74	C₂×C₂²⋊D₁₉	—	2	1	no	—
75	C₂×C₂²⋊D₁₉	—	2	1	no	—
76	C₂×C₂²⋊D₁₉	—	2	1	no	—
77	C₂×C₂²⋊D₁₉	—	2	1	no	—
78	C₂×C₂²⋊D₁₉	—	2	1	no	—
79	C₂×C₂²⋊D₁₉	D₄	1	1	yes	characteristic
80	C₂²×Dic₁₉	—	2	1	no	—
81	C₂²×Dic₁₉	—	2	1	no	—
82	#64545	—	2	2	no	—
83	#64545	—	4	1	no	—
84	#64543	—	2	2	no	—
85	#64543	—	4	1	no	—
86	C₂×D₇₆	—	2	1	no	—
87	C₂×D₇₆	C₂³	1	1	yes	characteristic
88	C₂×C₄×D₁₉	—	2	1	no	—
89	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
90	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
91	Q₁₆×C₁₉	—	2	2	no	—
92	SD₁₆×C₁₉	—	2	2	no	—
93	SD₁₆×C₁₉	D₄	1	4	yes	complemented
94	D₈×C₁₉	—	2	2	no	—
95	C₂×C₈×C₁₉	—	2	2	no	—
96	C₂×C₈×C₁₉	C₂³	1	1	yes	characteristic
97	C₂×C₈×C₁₉	C₂³	1	1	yes	characteristic
98	C₂²⋊Dic₁₉	—	2	1	no	—
99	C₂²⋊Dic₁₉	—	2	1	no	—
100	C₂²⋊Dic₁₉	—	2	1	no	—
101	C₂²⋊Dic₁₉	D₄	1	1	yes	characteristic
102	#64528	—	2	2	no	—
103	#64527	—	4	1	no	—
104	#64526	—	4	1	no	—
105	#64525	—	2	2	no	—
106	(C₂×D₁₉)⋊C₄	—	2	1	no	—
107	(C₂×D₁₉)⋊C₄	—	2	1	no	—
108	(C₂×D₁₉)⋊C₄	D₄	1	1	yes	characteristic
109	C₄⋊Dic₁₉	—	2	1	no	—
110	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
111	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
112	Dic₁₉⋊C₄	—	2	1	no	—
113	Dic₁₉⋊C₄	—	2	1	no	—
114	Dic₁₉⋊C₄	—	2	1	no	—
115	Dic₁₉⋊C₄	—	2	1	no	—
116	Dic₁₉⋊C₄	D₄	1	1	yes	characteristic
117	C₄×Dic₁₉	—	2	1	no	—
118	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
119	C₂×C₁₉⋊C₈	C₂³	1	1	yes	characteristic
120	C₂×C₁₉⋊C₈	C₂³	1	1	yes	characteristic
121	#64516	—	2	2	no	—
122	C₈×D₁₉	—	2	2	no	—
123	C₂³×C₁₉	—	2	1	no	—
124	C₂³×C₁₉	—	2	1	no	—
125	C₂³×C₁₉	C₂×D₄	1	1	yes	characteristic
126	C₂²×D₁₉	—	2	1	no	—
127	C₂²×D₁₉	C₂×D₄	1	1	yes	characteristic
128	Q₈×C₁₉	—	2	1	no	—
129	Q₈×C₁₉	—	2	1	no	—
130	Q₈×C₁₉	—	2	1	no	—
131	Q₈×C₁₉	C₂×D₄	1	2	yes	—
132	D₄×C₁₉	—	2	1	no	—
133	D₄×C₁₉	—	2	1	no	—
134	D₄×C₁₉	—	2	1	no	—
135	D₄×C₁₉	—	4	2	no	—
136	D₄×C₁₉	—	4	2	no	—
137	D₄×C₁₉	C₂×D₄	1	2	yes	—
138	C₂×C₄×C₁₉	—	2	1	no	—
139	C₂×C₄×C₁₉	—	2	1	no	—
140	C₂×C₄×C₁₉	—	2	1	no	—
141	C₂×C₄×C₁₉	—	2	1	no	—
142	C₂×C₄×C₁₉	—	4	2	no	—
143	C₂×C₄×C₁₉	—	4	2	no	—
144	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
145	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
146	C₂²⋊D₁₉	—	2	2	no	—
147	C₂²⋊D₁₉	—	4	2	no	—
148	C₂²⋊D₁₉	—	4	2	no	—
149	C₂²⋊D₁₉	—	8	1	no	—
150	C₂²⋊D₁₉	—	8	1	no	—
151	C₂²⋊D₁₉	—	8	1	no	—
152	C₂×Dic₁₉	—	2	1	no	—
153	C₂×Dic₁₉	—	2	1	no	—
154	C₂×Dic₁₉	—	2	1	no	—
155	C₂×Dic₁₉	—	4	2	no	—
156	C₂×Dic₁₉	—	4	2	no	—
157	C₂×Dic₁₉	C₂×D₄	1	1	yes	characteristic
158	C₂×Dic₁₉	C₂×D₄	1	1	yes	characteristic
159	C₂×Dic₁₉	C₂×D₄	1	1	yes	characteristic
160	D₇₆	—	2	1	no	—
161	D₇₆	—	2	1	no	—
162	D₇₆	—	4	2	no	—
163	C₄×D₁₉	—	2	1	no	—
164	C₄×D₁₉	—	2	1	no	—
165	C₄×D₁₉	—	4	2	no	—
166	Dic₃₈	—	2	1	no	—
167	Dic₃₈	—	2	1	no	—
168	C₈×C₁₉	—	2	1	no	—
169	C₈×C₁₉	C₂×D₄	1	2	yes	—
170	C₁₉⋊C₈	—	2	1	no	—
171	C₁₉⋊C₈	—	2	1	no	—
172	#3284	—	19	1	no	maximal, Sylow
173	C₂²×C₁₉	—	2	2	no	—
174	C₂²×C₁₉	—	2	1	no	—
175	C₂²×C₁₉	—	2	1	no	—
176	C₂²×C₁₉	—	2	1	no	—
177	C₂²×C₁₉	—	4	1	no	—
178	C₂²×C₁₉	—	4	1	no	—
179	C₂²×C₁₉	—	4	1	no	—
180	C₂²×C₁₉	—	4	1	no	—
181	C₂²×C₁₉	—	4	1	no	—
182	C₂²×C₁₉	C₂²×D₄	1	1	yes	characteristic
183	C₂×D₁₉	—	2	1	no	—
184	C₂×D₁₉	—	2	1	no	—
185	C₂×D₁₉	—	2	1	no	—
186	C₂×D₁₉	—	4	1	no	—
187	C₂×D₁₉	—	4	1	no	—
188	C₂×D₁₉	—	4	1	no	—
189	C₄×C₁₉	—	2	2	no	—
190	C₄×C₁₉	—	2	1	no	—
191	C₄×C₁₉	—	4	1	no	—
192	C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
193	C₄×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
194	Dic₁₉	—	2	1	no	—
195	Dic₁₉	—	2	1	no	—
196	Dic₁₉	—	4	1	no	—
197	Dic₁₉	—	4	1	no	—
198	Dic₁₉	—	4	1	no	—
199	Dic₁₉	#135	1	2	yes	complemented
200	C₂×#135	—	19	1	no	—
201	C₂×#135	D₁₉	1	1	yes	characteristic, complemented
202	#550	—	19	1	no	—
203	#547	—	19	1	no	—
204	#492	—	19	1	no	—
205	#465	—	19	1	no	—
206	#465	—	19	1	no	—
207	#462	—	19	1	no	—
208	#459	—	19	1	no	—
209	#452	—	19	1	no	—
210	#452	—	19	1	no	—
211	#449	—	19	1	no	—
212	#449	—	19	1	no	—
213	C₄×SD₁₆	—	19	1	no	—
214	C₈×D₄	—	19	1	no	—
215	C₂×C₁₉	—	4	1	no	—
216	C₂×C₁₉	—	4	2	no	—
217	C₂×C₁₉	—	8	1	no	—
218	C₂×C₁₉	D₄²	1	1	yes	characteristic
219	C₂×C₁₉	C₂×#135	1	1	yes	characteristic
220	C₂×C₁₉	#577	1	1	yes	characteristic
221	D₁₉	—	4	1	no	—
222	D₁₉	—	8	1	no	—
223	C₂×#41	—	19	1	no	—
224	C₂×#41	—	19	1	no	—
225	C₂×#41	C₂×D₁₉	1	1	yes	characteristic
226	C₂×#41	C₂×D₁₉	1	1	yes	characteristic
227	#135	—	2	4	no	—
228	#135	—	38	4	no	—
229	C₂×Q₁₆	—	19	1	no	—
230	C₂×Q₁₆	C₂×D₁₉	1	1	yes	characteristic
231	C₂×SD₁₆	—	19	1	no	—
232	C₂×SD₁₆	—	19	1	no	—
233	C₂×SD₁₆	—	19	1	no	—
234	C₂×SD₁₆	C₂×D₁₉	1	1	yes	characteristic
235	C₂×SD₁₆	C₂×D₁₉	1	1	yes	characteristic
236	C₂×D₈	—	19	1	no	—
237	C₂×D₈	C₂×D₁₉	1	1	yes	characteristic
238	C₂²×C₈	—	19	1	no	—
239	C₂²×C₈	C₂×D₁₉	1	1	yes	characteristic
240	C₄⋊Q₈	—	19	1	no	—
241	#127	—	19	1	no	—
242	#127	—	38	1	no	—
243	#123	—	38	1	no	—
244	#123	—	38	1	no	—
245	C₂²⋊Q₈	—	19	1	no	—
246	C₂²⋊Q₈	—	19	1	no	—
247	#121	—	19	1	no	—
248	#121	—	19	1	no	—
249	#121	—	38	1	no	—
250	#121	—	38	1	no	—
251	#121	—	38	1	no	—
252	C₄×Q₈	—	19	1	no	—
253	C₄×D₄	—	19	1	no	—
254	C₄×D₄	—	19	1	no	—
255	C₄×D₄	—	38	1	no	—
256	C₂×C₄⋊C₄	—	38	1	no	—
257	#106	—	19	1	no	—
258	C₄⋊C₈	—	19	1	no	—
259	#103	—	19	1	no	—
260	#103	—	19	1	no	—
261	#103	—	19	1	no	—
262	#102	—	19	1	no	—
263	#102	—	19	1	no	—
264	#102	—	19	1	no	—
265	C₂²⋊C₈	—	19	1	no	—
266	C₂²⋊C₈	—	19	1	no	—
267	C₄×C₈	—	19	1	no	—
268	C₁₉	#3284	1	1	yes	characteristic, complemented, Sylow
269	#41	—	2	2	no	—
270	#41	—	2	2	no	—
271	#41	—	4	1	no	—
272	#41	—	4	1	no	—
273	#41	—	38	2	no	—
274	#41	—	38	2	no	—
275	#41	—	76	1	no	—
276	#41	—	76	1	no	—
277	C₂×Q₈	—	19	1	no	—
278	C₂×Q₈	C₂²×D₁₉	1	1	yes	characteristic
279	C₂×Q₈	C₂²×D₁₉	1	1	yes	characteristic
280	C₂×D₄	—	2	1	no	—
281	C₂×D₄	—	2	1	no	—
282	C₂×D₄	—	19	1	no	—
283	C₂×D₄	—	19	1	no	—
284	C₂×D₄	—	38	1	no	—
285	C₂×D₄	—	38	1	no	—
286	C₂×D₄	—	38	1	no	—
287	C₂×D₄	—	38	1	no	—
288	C₂×D₄	—	38	1	no	—
289	C₂×D₄	—	38	1	no	—
290	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
291	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
292	C₂²×C₄	—	2	1	no	—
293	C₂²×C₄	—	2	1	no	—
294	C₂²×C₄	—	19	1	no	—
295	C₂²×C₄	—	38	1	no	—
296	C₂²×C₄	—	38	1	no	—
297	C₂²×C₄	—	38	1	no	—
298	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
299	Q₁₆	—	2	2	no	—
300	Q₁₆	—	38	2	no	—
301	SD₁₆	—	2	2	no	—
302	SD₁₆	—	38	2	no	—
303	SD₁₆	—	76	1	no	—
304	SD₁₆	—	76	1	no	—
305	SD₁₆	C₂²⋊D₁₉	1	4	yes	complemented
306	D₈	—	2	2	no	—
307	D₈	—	38	2	no	—
308	C₂×C₈	—	2	2	no	—
309	C₂×C₈	—	19	1	no	—
310	C₂×C₈	—	19	1	no	—
311	C₂×C₈	—	38	2	no	—
312	C₂×C₈	C₂²×D₁₉	1	1	yes	characteristic
313	C₂×C₈	C₂²×D₁₉	1	1	yes	characteristic
314	C₄⋊C₄	—	19	1	no	—
315	C₄⋊C₄	—	19	1	no	—
316	C₄⋊C₄	—	19	1	no	—
317	C₄⋊C₄	—	38	1	no	—
318	C₄⋊C₄	—	38	1	no	—
319	C₄⋊C₄	—	38	1	no	—
320	C₄⋊C₄	—	38	1	no	—
321	C₄⋊C₄	—	38	1	no	—
322	C₂²⋊C₄	—	19	1	no	—
323	C₂²⋊C₄	—	19	1	no	—
324	C₂²⋊C₄	—	38	1	no	—
325	C₂²⋊C₄	—	38	1	no	—
326	C₂²⋊C₄	—	38	1	no	—
327	C₂²⋊C₄	—	38	1	no	—
328	C₂²⋊C₄	—	38	1	no	—
329	C₄²	—	19	1	no	—
330	C₄²	—	38	1	no	—
331	C₂³	—	2	1	no	—
332	C₂³	—	2	1	no	—
333	C₂³	—	19	1	no	—
334	C₂³	—	38	1	no	—
335	C₂³	D₄×D₁₉	1	1	yes	characteristic
336	Q₈	—	2	1	no	—
337	Q₈	—	2	1	no	—
338	Q₈	—	2	1	no	—
339	Q₈	—	38	1	no	—
340	Q₈	—	38	1	no	—
341	Q₈	C₂×C₂²⋊D₁₉	1	2	yes	—
342	D₄	—	2	1	no	—
343	D₄	—	2	1	no	—
344	D₄	—	2	1	no	—
345	D₄	—	4	2	no	—
346	D₄	—	4	2	no	—
347	D₄	—	38	2	no	—
348	D₄	—	38	1	no	—
349	D₄	—	38	1	no	—
350	D₄	—	76	2	no	—
351	D₄	—	76	2	no	—
352	D₄	—	76	2	no	—
353	D₄	—	152	1	no	—
354	D₄	—	152	1	no	—
355	D₄	—	152	1	no	—
356	D₄	C₂×C₂²⋊D₁₉	1	2	yes	—
357	C₂×C₄	—	2	1	no	—
358	C₂×C₄	—	2	1	no	—
359	C₂×C₄	—	2	1	no	—
360	C₂×C₄	—	2	1	no	—
361	C₂×C₄	—	4	2	no	—
362	C₂×C₄	—	4	2	no	—
363	C₂×C₄	—	19	1	no	—
364	C₂×C₄	—	19	1	no	—
365	C₂×C₄	—	19	1	no	—
366	C₂×C₄	—	38	1	no	—
367	C₂×C₄	—	38	1	no	—
368	C₂×C₄	—	38	1	no	—
369	C₂×C₄	—	38	1	no	—
370	C₂×C₄	—	38	1	no	—
371	C₂×C₄	—	76	2	no	—
372	C₂×C₄	—	76	2	no	—
373	C₂×C₄	—	76	2	no	—
374	C₂×C₄	D₄×D₁₉	1	1	yes	characteristic
375	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
376	C₈	—	2	1	no	—
377	C₈	—	38	1	no	—
378	C₈	—	38	1	no	—
379	C₈	C₂×C₂²⋊D₁₉	1	2	yes	—
380	C₂²	—	2	1	no	—
381	C₂²	—	2	1	no	—
382	C₂²	—	2	1	no	—
383	C₂²	—	2	2	no	—
384	C₂²	—	4	1	no	—
385	C₂²	—	4	1	no	—
386	C₂²	—	4	1	no	—
387	C₂²	—	4	1	no	—
388	C₂²	—	4	1	no	—
389	C₂²	—	38	1	no	—
390	C₂²	—	38	1	no	—
391	C₂²	—	38	1	no	—
392	C₂²	—	76	1	no	—
393	C₂²	—	76	1	no	—
394	C₂²	—	76	1	no	—
395	C₂²	C₂×D₄×D₁₉	1	1	yes	characteristic
396	C₄	—	2	1	no	—
397	C₄	—	2	2	no	—
398	C₄	—	4	1	no	—
399	C₄	—	19	2	no	—
400	C₄	—	38	1	no	—
401	C₄	—	38	1	no	—
402	C₄	—	76	1	no	—
403	C₄	—	76	1	no	—
404	C₄	—	76	1	no	—
405	C₄	#10597430	1	1	yes	characteristic
406	C₄	C₂²×C₂²⋊D₁₉	1	1	yes	characteristic
407	C₂	—	4	1	no	—
408	C₂	—	4	2	no	—
409	C₂	—	8	1	no	—
410	C₂	—	76	1	no	—
411	C₂	—	152	1	no	—
412	C₂	D₄×C₂²⋊D₁₉	1	1	yes	characteristic
413	C₂	#135×D₁₉	1	1	yes	characteristic
414	C₂	#11927351	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×D₄×D₁₉
commutator, cosocle	C₂×C₄×C₁₉	C₂⁴
Frattini	C₂×C₄	C₂³×D₁₉
Fitting	C₂×C₁₉×#135	C₂
socle	C₂²×C₁₉	C₂²×D₄
hypercenter	C₂×#135	D₁₉
hypocenter	C₁₉	#3284
LCS	G ▷ C₂×C₄×C₁₉ ▷ C₂×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂² ◁ C₂²×C₄ ◁ C₂×#135

Complements

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

N	H ≅ G/N	type
1. C₂×#10597362	C₂	semidirect
2. #11927213	C₂	semidirect
3. #11927193	C₂	semidirect
4. #11926915	C₂	semidirect
5. #11926773	C₂	semidirect
6. #11926770	C₂	semidirect
7. #11926752	C₂	semidirect
8. #11926737	C₂	semidirect
9. #11926706	C₂	semidirect
10. #11926705	C₂	semidirect
11. #11926689	C₂	semidirect
12. #11926686	C₂	semidirect
13. SD₁₆×Dic₁₉	C₂	semidirect
14. C₈×C₂²⋊D₁₉	C₂	semidirect
15. C₂×C₁₉×#135	C₂	semidirect
93. SD₁₆×C₁₉	D₄	semidirect
199. Dic₁₉	#135	semidirect
201. C₂×#135	D₁₉	semidirect
268. C₁₉	#3284	semidirect
305. SD₁₆	C₂²⋊D₁₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×#10597362	2
#11927213	2
#11927193	2
#11926915	2
#11926773	2
#11926770	2
#11926752	2
#11926737	2
#11926706	2
#11926705	2
#11926689	2
#11926686	2
SD₁₆×Dic₁₉	2
C₈×C₂²⋊D₁₉	2
C₂×C₁₉×#135	2
#3284	19