Subgroups — #14574436

Order 2432.

462 conjugacy classes of subgroups.

The subgroup lattice has 408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²⋊Q₈×D₁₉	C₂	1	1	yes	maximal, characteristic, complemented
2	#121×D₁₉	C₂	1	1	yes	maximal, characteristic
3	#11926881	C₂	1	1	yes	maximal, characteristic, complemented
4	#11926878	C₂	1	1	yes	maximal, characteristic, complemented
5	#11926859	C₂	1	1	yes	maximal, characteristic, complemented
6	#11926856	C₂	1	1	yes	maximal, characteristic, complemented
7	#11926792	C₂	1	1	yes	maximal, characteristic, complemented
8	#11926790	C₂	1	1	yes	maximal, characteristic, complemented
9	#11926788	C₂	1	1	yes	maximal, characteristic, complemented
10	#11926696	C₂	1	1	yes	maximal, characteristic, complemented
11	#11926693	C₂	1	1	yes	maximal, characteristic, complemented
12	#11926684	C₂	1	1	yes	maximal, characteristic, complemented
13	#11926681	C₂	1	1	yes	maximal, characteristic, complemented
14	#11926507	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₉×#468	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×Q₈×D₁₉	C₂²	1	1	yes	characteristic, complemented
17	C₂×D₄×D₁₉	—	2	1	no	—
18	C₂×D₄×D₁₉	C₂²	1	1	yes	characteristic
19	C₂²×C₄×D₁₉	C₂²	1	1	yes	characteristic
20	C₂×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
21	C₂×M₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
22	C₁₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
23	C₁₉×#121	C₂²	1	1	yes	characteristic
24	#10597392	C₂²	1	1	yes	characteristic
25	C₂×#64527	C₂²	1	1	yes	characteristic, complemented
26	#10597385	—	2	1	no	—
27	#10597384	C₂²	1	1	yes	characteristic
28	C₂×#64526	C₂²	1	1	yes	characteristic, complemented
29	#10597376	C₂²	1	1	yes	characteristic
30	#10597370	C₂²	1	1	yes	characteristic, complemented
31	C₂×#64520	C₂²	1	1	yes	characteristic, complemented
32	C₂×#64516	C₂²	1	1	yes	characteristic, complemented
33	#10597343	C₂²	1	1	yes	characteristic
34	#10597342	—	2	1	no	—
35	#10597341	C₂²	1	1	yes	characteristic
36	C₄⋊C₄×D₁₉	—	2	1	no	—
37	C₄⋊C₄×D₁₉	C₂²	1	1	yes	characteristic
38	C₄⋊C₄×D₁₉	C₂²	1	1	yes	characteristic, complemented
39	#10597330	—	2	1	no	—
40	C₂²⋊C₄×D₁₉	—	2	1	no	—
41	C₂²⋊C₄×D₁₉	—	2	1	no	—
42	#10597324	—	2	1	no	—
43	C₁₉×#107	C₂²	1	1	yes	characteristic, complemented
44	C₁₉×#103	C₂²	1	1	yes	characteristic, complemented
45	C₁₉×#102	C₂²	1	1	yes	characteristic, complemented
46	#10597292	C₂²	1	1	yes	characteristic, complemented
47	#10597289	C₂²	1	1	yes	characteristic, complemented
48	#10597278	C₂²	1	1	yes	characteristic, complemented
49	(C₂×D₁₉)⋊C₈	C₂²	1	1	yes	characteristic
50	(C₂×D₁₉)⋊C₈	C₂²	1	1	yes	characteristic
51	(C₂×D₁₉)⋊C₈	C₂²	1	1	yes	characteristic, complemented
52	(C₂×D₁₉)⋊C₈	C₂²	1	1	yes	characteristic, complemented
53	#10597275	C₂²	1	1	yes	characteristic, complemented
54	#10597273	C₂²	1	1	yes	characteristic, complemented
55	#10597267	C₂²	1	1	yes	characteristic, complemented
56	#10597266	C₂²	1	1	yes	characteristic, complemented
57	#10597264	C₂²	1	1	yes	characteristic, complemented
58	#10597264	C₂²	1	1	yes	characteristic, complemented
59	C₂³×D₁₉	—	2	1	no	—
60	C₂³×D₁₉	D₄	1	1	yes	characteristic
61	C₂×Q₈×C₁₉	C₂³	1	1	yes	characteristic
62	C₂×D₄×C₁₉	—	2	1	no	—
63	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
64	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
65	C₂×C₂²⋊D₁₉	—	2	1	no	—
66	C₂×C₂²⋊D₁₉	—	2	1	no	—
67	C₂×C₂²⋊D₁₉	—	2	1	no	—
68	C₂²×Dic₁₉	D₄	1	1	yes	characteristic
69	Q₈×D₁₉	—	4	1	no	—
70	Q₈×D₁₉	—	4	1	no	—
71	D₄×D₁₉	—	4	1	no	—
72	D₄×D₁₉	—	4	1	no	—
73	D₄×D₁₉	—	4	4	no	—
74	C₂×D₇₆	—	2	1	no	—
75	C₂×D₇₆	C₂³	1	1	yes	characteristic
76	C₂×C₄×D₁₉	—	2	1	no	—
77	C₂×C₄×D₁₉	—	2	1	no	—
78	C₂×C₄×D₁₉	—	2	1	no	—
79	C₂×C₄×D₁₉	—	4	1	no	—
80	C₂×C₄×D₁₉	—	4	1	no	—
81	C₂×C₄×D₁₉	D₄	1	1	yes	characteristic
82	C₂×C₄×D₁₉	D₄	1	1	yes	characteristic
83	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
84	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
85	C₂×Dic₃₈	—	2	1	no	—
86	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
87	SD₁₆×C₁₉	—	4	1	no	—
88	M₁₆×C₁₉	—	4	1	no	—
89	C₂×C₈×C₁₉	C₂³	1	1	yes	characteristic
90	C₂×C₈×C₁₉	C₂³	1	1	yes	characteristic
91	C₄⋊C₄×C₁₉	—	2	1	no	—
92	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
93	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
94	C₂²⋊C₄×C₁₉	—	2	1	no	—
95	C₂²⋊C₄×C₁₉	—	2	1	no	—
96	C₂²⋊Dic₁₉	—	2	1	no	—
97	C₂²⋊Dic₁₉	—	2	1	no	—
98	#64527	—	4	1	no	—
99	#64526	—	4	1	no	—
100	(C₂×D₁₉)⋊C₄	—	2	1	no	—
101	(C₂×D₁₉)⋊C₄	—	2	1	no	—
102	(C₂×D₁₉)⋊C₄	—	2	1	no	—
103	(C₂×D₁₉)⋊C₄	—	2	1	no	—
104	C₄⋊Dic₁₉	—	2	1	no	—
105	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
106	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
107	Dic₁₉⋊C₄	—	2	1	no	—
108	Dic₁₉⋊C₄	—	2	1	no	—
109	Dic₁₉⋊C₄	—	2	1	no	—
110	Dic₁₉⋊C₄	—	2	1	no	—
111	#64520	—	4	1	no	—
112	C₂×C₁₉⋊C₈	C₂³	1	1	yes	characteristic
113	C₂×C₁₉⋊C₈	C₂³	1	1	yes	characteristic
114	#64516	—	4	1	no	—
115	C₂³×C₁₉	—	2	1	no	—
116	C₂³×C₁₉	C₂×D₄	1	1	yes	characteristic
117	C₂²×D₁₉	—	2	2	no	—
118	C₂²×D₁₉	—	2	2	no	—
119	C₂²×D₁₉	—	2	1	no	—
120	C₂²×D₁₉	—	4	1	no	—
121	C₂²×D₁₉	—	4	2	no	—
122	C₂²×D₁₉	—	4	2	no	—
123	C₂²×D₁₉	—	4	2	no	—
124	C₂²×D₁₉	C₂×D₄	1	1	yes	characteristic
125	C₂²×D₁₉	C₂×D₄	1	1	yes	characteristic
126	Q₈×C₁₉	—	2	1	no	—
127	Q₈×C₁₉	—	2	1	no	—
128	D₄×C₁₉	—	2	1	no	—
129	D₄×C₁₉	—	2	1	no	—
130	D₄×C₁₉	—	4	2	no	—
131	C₂×C₄×C₁₉	—	2	1	no	—
132	C₂×C₄×C₁₉	—	2	1	no	—
133	C₂×C₄×C₁₉	—	2	1	no	—
134	C₂×C₄×C₁₉	—	2	1	no	—
135	C₂×C₄×C₁₉	—	2	1	no	—
136	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
137	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
138	C₂²⋊D₁₉	—	4	2	no	—
139	C₂²⋊D₁₉	—	4	2	no	—
140	C₂²⋊D₁₉	—	4	2	no	—
141	C₂×Dic₁₉	—	2	1	no	—
142	C₂×Dic₁₉	—	2	1	no	—
143	C₂×Dic₁₉	—	2	1	no	—
144	C₂×Dic₁₉	—	4	1	no	—
145	C₂×Dic₁₉	C₂×D₄	1	1	yes	characteristic
146	C₂×Dic₁₉	C₂×D₄	1	1	yes	characteristic
147	D₇₆	—	2	1	no	—
148	D₇₆	—	2	1	no	—
149	D₇₆	—	4	2	no	—
150	C₄×D₁₉	—	2	1	no	—
151	C₄×D₁₉	—	2	1	no	—
152	C₄×D₁₉	—	2	1	no	—
153	C₄×D₁₉	—	2	1	no	—
154	C₄×D₁₉	—	4	1	no	—
155	C₄×D₁₉	—	4	1	no	—
156	C₄×D₁₉	—	4	2	no	—
157	C₄×D₁₉	—	4	2	no	—
158	C₄×D₁₉	—	4	2	no	—
159	Dic₃₈	—	2	1	no	—
160	Dic₃₈	—	2	1	no	—
161	Dic₃₈	—	4	2	no	—
162	C₈×C₁₉	—	2	1	no	—
163	C₈×C₁₉	—	2	1	no	—
164	C₁₉⋊C₈	—	2	1	no	—
165	C₁₉⋊C₈	—	2	1	no	—
166	#3193	—	19	1	no	maximal, Sylow
167	C₂²×C₁₉	—	2	1	no	—
168	C₂²×C₁₉	—	2	1	no	—
169	C₂²×C₁₉	—	2	1	no	—
170	C₂²×C₁₉	—	4	1	no	—
171	C₂²×C₁₉	—	4	1	no	—
172	C₂²×C₁₉	—	4	1	no	—
173	C₂²×C₁₉	C₂²×D₄	1	1	yes	characteristic
174	C₂×D₁₉	—	2	1	no	—
175	C₂×D₁₉	—	2	1	no	—
176	C₂×D₁₉	—	2	1	no	—
177	C₂×D₁₉	—	2	1	no	—
178	C₂×D₁₉	—	4	4	no	—
179	C₂×D₁₉	—	4	1	no	—
180	C₂×D₁₉	—	4	1	no	—
181	C₂×D₁₉	—	4	1	no	—
182	C₂×D₁₉	—	8	4	no	—
183	C₂×D₁₉	AGL(1,ℤ/8)	1	2	yes	—
184	C₂×D₁₉	#137	1	2	yes	—
185	C₄×C₁₉	—	2	1	no	—
186	C₄×C₁₉	—	4	1	no	—
187	C₄×C₁₉	—	4	1	no	—
188	C₄×C₁₉	—	4	1	no	—
189	C₄×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
190	C₄×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
191	Dic₁₉	—	2	1	no	—
192	Dic₁₉	—	2	1	no	—
193	Dic₁₉	—	4	1	no	—
194	Dic₁₉	—	4	1	no	—
195	Dic₁₉	—	4	1	no	—
196	C₂×C₂²⋊Q₈	—	19	1	no	—
197	C₂×#121	—	19	1	no	—
198	#484	—	19	1	no	—
199	#484	—	19	1	no	—
200	#480	—	19	1	no	—
201	#480	—	19	1	no	—
202	#468	—	19	1	no	—
203	#468	—	19	1	no	—
204	#468	—	19	1	no	—
205	#468	D₁₉	1	1	yes	characteristic, complemented
206	#450	—	19	1	no	—
207	#450	—	19	1	no	—
208	#448	—	19	1	no	—
209	#448	—	19	1	no	—
210	#407	—	19	1	no	—
211	C₂×C₁₉	—	4	1	no	—
212	C₂×C₁₉	—	8	1	no	—
213	C₂×C₁₉	#534	1	1	yes	characteristic
214	C₂×C₁₉	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
215	C₂×C₁₉	C₂×#137	1	1	yes	characteristic
216	D₁₉	—	2	2	no	—
217	D₁₉	—	2	2	no	—
218	D₁₉	—	8	1	no	—
219	C₂²×Q₈	—	19	1	no	—
220	C₂²×D₄	—	19	1	no	—
221	C₂²×D₄	—	38	1	no	—
222	C₂³×C₄	—	19	1	no	—
223	C₂×SD₁₆	—	19	1	no	—
224	C₂×SD₁₆	—	19	1	no	—
225	C₂×SD₁₆	—	19	1	no	—
226	C₂×SD₁₆	C₂×D₁₉	1	1	yes	characteristic, complemented
227	C₂×M₁₆	—	19	1	no	—
228	C₂×M₁₆	C₂×D₁₉	1	1	yes	characteristic, complemented
229	C₂²⋊Q₈	—	19	1	no	—
230	C₂²⋊Q₈	—	19	1	no	—
231	C₂²⋊Q₈	—	19	1	no	—
232	C₂²⋊Q₈	—	38	1	no	—
233	C₂²⋊Q₈	—	38	1	no	—
234	C₂²⋊Q₈	C₂×D₁₉	1	1	yes	characteristic, complemented
235	#121	—	19	1	no	—
236	#121	—	19	1	no	—
237	#121	—	19	1	no	—
238	#121	—	38	1	no	—
239	#121	—	38	1	no	—
240	#121	C₂×D₁₉	1	1	yes	characteristic
241	C₂×C₄⋊C₄	—	19	1	no	—
242	C₂×C₄⋊C₄	—	19	1	no	—
243	C₂×C₄⋊C₄	—	38	1	no	—
244	C₂×C₂²⋊C₄	—	38	1	no	—
245	C₂×C₂²⋊C₄	—	38	1	no	—
246	#107	—	19	1	no	—
247	#107	—	19	1	no	—
248	#107	—	19	1	no	—
249	#107	C₂×D₁₉	1	1	yes	characteristic, complemented
250	#103	—	19	1	no	—
251	#103	—	19	1	no	—
252	#103	—	19	1	no	—
253	#103	C₂×D₁₉	1	1	yes	characteristic, complemented
254	#102	—	19	1	no	—
255	#102	—	19	1	no	—
256	#102	—	19	1	no	—
257	#102	C₂×D₁₉	1	1	yes	characteristic, complemented
258	C₂²⋊C₈	—	19	1	no	—
259	C₂²⋊C₈	—	19	1	no	—
260	C₂²⋊C₈	—	19	1	no	—
261	C₂²⋊C₈	—	19	1	no	—
262	C₁₉	#3193	1	1	yes	characteristic, complemented, Sylow
263	C₂⁴	—	19	1	no	—
264	C₂⁴	—	38	1	no	—
265	C₂×Q₈	—	19	1	no	—
266	C₂×Q₈	—	38	1	no	—
267	C₂×Q₈	—	76	1	no	—
268	C₂×Q₈	—	76	1	no	—
269	C₂×Q₈	C₂²×D₁₉	1	1	yes	characteristic
270	C₂×D₄	—	2	1	no	—
271	C₂×D₄	—	19	1	no	—
272	C₂×D₄	—	38	1	no	—
273	C₂×D₄	—	38	1	no	—
274	C₂×D₄	—	38	1	no	—
275	C₂×D₄	—	38	1	no	—
276	C₂×D₄	—	76	1	no	—
277	C₂×D₄	—	76	1	no	—
278	C₂×D₄	—	76	4	no	—
279	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
280	C₂²×C₄	—	19	1	no	—
281	C₂²×C₄	—	19	1	no	—
282	C₂²×C₄	—	19	1	no	—
283	C₂²×C₄	—	19	1	no	—
284	C₂²×C₄	—	19	1	no	—
285	C₂²×C₄	—	38	1	no	—
286	C₂²×C₄	—	38	1	no	—
287	C₂²×C₄	—	38	1	no	—
288	C₂²×C₄	—	76	1	no	—
289	C₂²×C₄	—	76	1	no	—
290	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
291	SD₁₆	—	4	1	no	—
292	SD₁₆	—	76	1	no	—
293	SD₁₆	—	76	1	no	—
294	SD₁₆	—	76	1	no	—
295	M₁₆	—	4	1	no	—
296	M₁₆	—	76	1	no	—
297	C₂×C₈	—	19	1	no	—
298	C₂×C₈	—	19	1	no	—
299	C₂×C₈	C₂²×D₁₉	1	1	yes	characteristic
300	C₂×C₈	C₂²×D₁₉	1	1	yes	characteristic
301	C₄⋊C₄	—	2	1	no	—
302	C₄⋊C₄	—	19	1	no	—
303	C₄⋊C₄	—	19	1	no	—
304	C₄⋊C₄	—	38	1	no	—
305	C₄⋊C₄	—	38	1	no	—
306	C₄⋊C₄	—	38	1	no	—
307	C₄⋊C₄	—	38	1	no	—
308	C₄⋊C₄	—	38	1	no	—
309	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
310	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
311	C₂²⋊C₄	—	2	1	no	—
312	C₂²⋊C₄	—	2	1	no	—
313	C₂²⋊C₄	—	38	1	no	—
314	C₂²⋊C₄	—	38	1	no	—
315	C₂²⋊C₄	—	38	1	no	—
316	C₂²⋊C₄	—	38	1	no	—
317	C₂²⋊C₄	—	38	1	no	—
318	C₂²⋊C₄	—	38	1	no	—
319	C₂³	—	2	1	no	—
320	C₂³	—	19	1	no	—
321	C₂³	—	19	1	no	—
322	C₂³	—	38	2	no	—
323	C₂³	—	38	2	no	—
324	C₂³	—	38	1	no	—
325	C₂³	—	76	1	no	—
326	C₂³	—	76	2	no	—
327	C₂³	—	76	2	no	—
328	C₂³	—	76	2	no	—
329	C₂³	D₄×D₁₉	1	1	yes	characteristic
330	Q₈	—	2	1	no	—
331	Q₈	—	2	1	no	—
332	Q₈	—	38	1	no	—
333	Q₈	—	38	1	no	—
334	Q₈	—	76	2	no	—
335	D₄	—	2	1	no	—
336	D₄	—	2	1	no	—
337	D₄	—	4	2	no	—
338	D₄	—	38	1	no	—
339	D₄	—	38	1	no	—
340	D₄	—	76	2	no	—
341	D₄	—	76	2	no	—
342	D₄	—	76	2	no	—
343	D₄	—	76	2	no	—
344	C₂×C₄	—	2	1	no	—
345	C₂×C₄	—	2	1	no	—
346	C₂×C₄	—	2	1	no	—
347	C₂×C₄	—	2	1	no	—
348	C₂×C₄	—	2	1	no	—
349	C₂×C₄	—	19	1	no	—
350	C₂×C₄	—	19	1	no	—
351	C₂×C₄	—	38	1	no	—
352	C₂×C₄	—	38	1	no	—
353	C₂×C₄	—	38	1	no	—
354	C₂×C₄	—	38	1	no	—
355	C₂×C₄	—	38	1	no	—
356	C₂×C₄	—	38	1	no	—
357	C₂×C₄	—	38	1	no	—
358	C₂×C₄	—	76	1	no	—
359	C₂×C₄	—	76	1	no	—
360	C₂×C₄	—	76	2	no	—
361	C₂×C₄	—	76	2	no	—
362	C₂×C₄	—	76	2	no	—
363	C₂×C₄	—	76	1	no	—
364	C₂×C₄	D₄×D₁₉	1	1	yes	characteristic
365	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
366	C₈	—	2	1	no	—
367	C₈	—	2	1	no	—
368	C₈	—	38	1	no	—
369	C₈	—	38	1	no	—
370	C₂²	—	2	1	no	—
371	C₂²	—	2	1	no	—
372	C₂²	—	2	1	no	—
373	C₂²	—	4	1	no	—
374	C₂²	—	4	1	no	—
375	C₂²	—	4	1	no	—
376	C₂²	—	19	2	no	—
377	C₂²	—	19	2	no	—
378	C₂²	—	38	1	no	—
379	C₂²	—	38	1	no	—
380	C₂²	—	38	1	no	—
381	C₂²	—	38	1	no	—
382	C₂²	—	76	4	no	—
383	C₂²	—	76	1	no	—
384	C₂²	—	76	1	no	—
385	C₂²	—	76	1	no	—
386	C₂²	—	152	4	no	—
387	C₂²	C₂×D₄×D₁₉	1	1	yes	characteristic
388	C₄	—	2	1	no	—
389	C₄	—	4	1	no	—
390	C₄	—	4	1	no	—
391	C₄	—	4	1	no	—
392	C₄	—	38	1	no	—
393	C₄	—	38	1	no	—
394	C₄	—	76	1	no	—
395	C₄	—	76	1	no	—
396	C₄	—	76	1	no	—
397	C₄	#10597430	1	1	yes	characteristic
398	C₄	#10597435	1	1	yes	characteristic
399	C₂	—	4	1	no	—
400	C₂	—	8	1	no	—
401	C₂	—	38	2	no	—
402	C₂	—	38	2	no	—
403	C₂	—	152	1	no	—
404	C₂	#11927102	1	1	yes	characteristic
405	C₂	AGL(1,ℤ/8)×D₁₉	1	1	yes	characteristic
406	C₂	#137×D₁₉	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×D₄×D₁₉
commutator, cosocle	C₂×C₄×C₁₉	C₂⁴
Frattini	C₂×C₄	C₂³×D₁₉
Fitting	C₁₉×#468	C₂
socle	C₂²×C₁₉	C₂²×D₄
prime radical	#121×D₁₉	C₂
hypercenter	#468	D₁₉
hypocenter	C₁₉	#3193
LCS	G ▷ C₂×C₄×C₁₉ ▷ C₂×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂² ◁ C₂²×C₄ ◁ #468

Complements

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

N	H ≅ G/N	type
1. C₂²⋊Q₈×D₁₉	C₂	semidirect
3. #11926881	C₂	semidirect
4. #11926878	C₂	semidirect
5. #11926859	C₂	semidirect
6. #11926856	C₂	semidirect
7. #11926792	C₂	semidirect
8. #11926790	C₂	semidirect
9. #11926788	C₂	semidirect
10. #11926696	C₂	semidirect
11. #11926693	C₂	semidirect
12. #11926684	C₂	semidirect
13. #11926681	C₂	semidirect
14. #11926507	C₂	semidirect
15. C₁₉×#468	C₂	semidirect
16. C₂×Q₈×D₁₉	C₂²	semidirect
20. C₂×SD₁₆×C₁₉	C₂²	semidirect
21. C₂×M₁₆×C₁₉	C₂²	semidirect
22. C₁₉×C₂²⋊Q₈	C₂²	semidirect
25. C₂×#64527	C₂²	semidirect
28. C₂×#64526	C₂²	semidirect
30. #10597370	C₂²	semidirect
31. C₂×#64520	C₂²	semidirect
32. C₂×#64516	C₂²	semidirect
38. C₄⋊C₄×D₁₉	C₂²	semidirect
43. C₁₉×#107	C₂²	semidirect
44. C₁₉×#103	C₂²	semidirect
45. C₁₉×#102	C₂²	semidirect
46. #10597292	C₂²	semidirect
47. #10597289	C₂²	semidirect
48. #10597278	C₂²	semidirect
51. (C₂×D₁₉)⋊C₈	C₂²	semidirect
52. (C₂×D₁₉)⋊C₈	C₂²	semidirect
53. #10597275	C₂²	semidirect
54. #10597273	C₂²	semidirect
55. #10597267	C₂²	semidirect
56. #10597266	C₂²	semidirect
57. #10597264	C₂²	semidirect
58. #10597264	C₂²	semidirect
205. #468	D₁₉	semidirect
226. C₂×SD₁₆	C₂×D₁₉	semidirect
228. C₂×M₁₆	C₂×D₁₉	semidirect
234. C₂²⋊Q₈	C₂×D₁₉	semidirect
249. #107	C₂×D₁₉	semidirect
253. #103	C₂×D₁₉	semidirect
257. #102	C₂×D₁₉	semidirect
262. C₁₉	#3193	semidirect

Maximal subgroups

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

subgroup	index
C₂²⋊Q₈×D₁₉	2
#121×D₁₉	2
#11926881	2
#11926878	2
#11926859	2
#11926856	2
#11926792	2
#11926790	2
#11926788	2
#11926696	2
#11926693	2
#11926684	2
#11926681	2
#11926507	2
C₁₉×#468	2
#3193	19