Subgroups — #14575650

Order 2432.

450 conjugacy classes of subgroups.

The subgroup lattice has 392 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₄×D₇₆	C₂	1	1	yes	maximal, characteristic
2	#11926910	C₂	1	1	yes	maximal, characteristic, complemented
3	#11926868	C₂	1	1	yes	maximal, characteristic, complemented
4	#11926857	C₂	1	1	yes	maximal, characteristic, complemented
5	#11926841	C₂	1	1	yes	maximal, characteristic, complemented
6	#11926792	C₂	1	1	yes	maximal, characteristic, complemented
7	#11926775	C₂	1	1	yes	maximal, characteristic, complemented
8	#11926744	C₂	1	1	yes	maximal, characteristic, complemented
9	#11926694	C₂	1	1	yes	maximal, characteristic, complemented
10	#11926694	C₂	1	1	yes	maximal, characteristic, complemented
11	#11926642	C₂	1	1	yes	maximal, characteristic, complemented
12	#11926616	C₂	1	1	yes	maximal, characteristic, complemented
13	#11926548	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#10597266	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₉×#552	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×D₄×D₁₉	—	2	1	no	—
17	C₂²×D₇₆	C₂²	1	1	yes	characteristic
18	C₂²×D₇₆	C₂²	1	1	yes	characteristic
19	C₁₉×#126	—	2	1	no	—
20	C₁₉×#125	—	2	1	no	—
21	C₁₉×#125	C₂²	1	1	yes	characteristic, complemented
22	C₁₉×#123	—	2	1	no	—
23	C₁₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
24	C₁₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
25	C₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
26	C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
27	C₁₉×#117	—	2	1	no	—
28	C₁₉×#117	C₂²	1	1	yes	characteristic, complemented
29	C₂×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
30	C₂×#64527	C₂²	1	1	yes	characteristic
31	C₂×#64527	C₂²	1	1	yes	characteristic, complemented
32	C₂×#64527	C₂²	1	1	yes	characteristic, complemented
33	#10597376	C₂²	1	1	yes	characteristic
34	#10597376	C₂²	1	1	yes	characteristic
35	C₂×#64520	C₂²	1	1	yes	characteristic, complemented
36	C₂²×C₁₉⋊C₈	C₂²	1	1	yes	characteristic, complemented
37	#10597341	—	2	1	no	—
38	#10597328	—	2	1	no	—
39	#10597328	—	2	1	no	—
40	#10597320	C₂²	1	1	yes	characteristic
41	C₄×D₇₆	C₂²	1	1	yes	characteristic
42	#10597292	C₂²	1	1	yes	characteristic, complemented
43	C₂²⋊(C₁₉⋊C₈)	C₂²	1	1	yes	characteristic, complemented
44	C₂²⋊(C₁₉⋊C₈)	C₂²	1	1	yes	characteristic, complemented
45	#10597266	C₂²	1	1	yes	characteristic
46	#10597266	C₂²	1	1	yes	characteristic
47	#10597266	C₂²	1	1	yes	characteristic
48	#10597266	C₂²	1	1	yes	characteristic, complemented
49	#10597266	C₂²	1	1	yes	characteristic, complemented
50	#10597266	C₂²	1	1	yes	characteristic, complemented
51	#10597266	C₂²	1	1	yes	characteristic, complemented
52	#10597266	C₂²	1	1	yes	characteristic, complemented
53	#10597266	C₂²	1	1	yes	characteristic, complemented
54	#10597265	C₂²	1	1	yes	characteristic, complemented
55	#10597264	C₂²	1	1	yes	characteristic, complemented
56	#10597264	C₂²	1	1	yes	characteristic, complemented
57	C₄⋊(C₁₉⋊C₈)	C₂²	1	1	yes	characteristic, complemented
58	#10597260	C₂²	1	1	yes	characteristic, complemented
59	C₂³×D₁₉	—	2	1	no	—
60	C₂³×D₁₉	—	2	1	no	—
61	C₂×Q₈×C₁₉	C₂³	1	1	yes	characteristic
62	C₂×D₄×C₁₉	D₄	1	1	yes	characteristic
63	C₂²×C₄×C₁₉	—	2	1	no	—
64	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
65	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
66	C₂×C₂²⋊D₁₉	—	2	1	no	—
67	C₂×C₂²⋊D₁₉	—	2	1	no	—
68	D₄×D₁₉	—	4	4	no	—
69	C₂×D₇₆	—	2	2	no	—
70	C₂×D₇₆	—	2	2	no	—
71	C₂×D₇₆	—	2	1	no	—
72	C₂×D₇₆	—	2	1	no	—
73	C₂×D₇₆	—	2	1	no	—
74	C₂×D₇₆	—	2	1	no	—
75	C₂×D₇₆	—	4	1	no	—
76	C₂×D₇₆	—	4	1	no	—
77	C₂×D₇₆	C₂³	1	1	yes	characteristic
78	C₂×D₇₆	C₂³	1	1	yes	characteristic
79	C₂×D₇₆	C₂³	1	1	yes	characteristic
80	C₂×C₄×D₁₉	—	2	1	no	—
81	C₄⋊C₄×C₁₉	—	2	1	no	—
82	C₄⋊C₄×C₁₉	—	2	1	no	—
83	C₄⋊C₄×C₁₉	—	2	1	no	—
84	C₄⋊C₄×C₁₉	—	2	1	no	—
85	C₄⋊C₄×C₁₉	—	2	1	no	—
86	C₄⋊C₄×C₁₉	—	2	1	no	—
87	C₄⋊C₄×C₁₉	D₄	1	1	yes	characteristic
88	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
89	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
90	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
91	C₂²⋊C₄×C₁₉	—	2	1	no	—
92	C₂²⋊C₄×C₁₉	—	2	1	no	—
93	C₂²⋊C₄×C₁₉	—	2	1	no	—
94	C₂²⋊C₄×C₁₉	D₄	1	1	yes	characteristic
95	C₂²⋊C₄×C₁₉	D₄	1	1	yes	characteristic
96	C₄²×C₁₉	—	2	1	no	—
97	C₄²×C₁₉	—	2	1	no	—
98	C₄²×C₁₉	C₂³	1	1	yes	characteristic
99	#64527	—	2	2	no	—
100	#64527	—	4	1	no	—
101	#64527	—	4	1	no	—
102	(C₂×D₁₉)⋊C₄	—	2	1	no	—
103	(C₂×D₁₉)⋊C₄	—	2	1	no	—
104	(C₂×D₁₉)⋊C₄	—	2	1	no	—
105	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
106	#64520	—	4	1	no	—
107	C₂×C₁₉⋊C₈	—	4	1	no	—
108	C₂×C₁₉⋊C₈	C₂³	1	1	yes	characteristic
109	C₂×C₁₉⋊C₈	C₂³	1	1	yes	characteristic
110	C₂×C₁₉⋊C₈	C₂³	1	1	yes	characteristic
111	C₂×C₁₉⋊C₈	C₂³	1	1	yes	characteristic
112	C₂³×C₁₉	C₂×D₄	1	1	yes	characteristic
113	C₂³×C₁₉	C₂×D₄	1	1	yes	characteristic
114	C₂²×D₁₉	—	2	1	no	—
115	C₂²×D₁₉	—	2	1	no	—
116	C₂²×D₁₉	—	2	1	no	—
117	C₂²×D₁₉	—	4	2	no	—
118	C₂²×D₁₉	—	4	2	no	—
119	C₂²×D₁₉	—	4	2	no	—
120	C₂²×D₁₉	—	4	2	no	—
121	C₂²×D₁₉	—	8	1	no	—
122	C₂²×D₁₉	—	8	1	no	—
123	Q₈×C₁₉	—	2	1	no	—
124	Q₈×C₁₉	—	2	1	no	—
125	D₄×C₁₉	—	2	2	no	—
126	C₂×C₄×C₁₉	—	2	1	no	—
127	C₂×C₄×C₁₉	—	2	1	no	—
128	C₂×C₄×C₁₉	—	2	1	no	—
129	C₂×C₄×C₁₉	—	2	1	no	—
130	C₂×C₄×C₁₉	—	2	1	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	—	4	2	no	—
135	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
136	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
137	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
138	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
139	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
140	C₂²⋊D₁₉	—	4	2	no	—
141	C₂²⋊D₁₉	—	4	2	no	—
142	C₂×Dic₁₉	—	2	1	no	—
143	D₇₆	—	2	1	no	—
144	D₇₆	—	2	1	no	—
145	D₇₆	—	2	1	no	—
146	D₇₆	—	2	1	no	—
147	D₇₆	—	2	1	no	—
148	D₇₆	—	4	2	no	—
149	D₇₆	—	4	2	no	—
150	D₇₆	—	4	2	no	—
151	D₇₆	—	8	1	no	—
152	D₇₆	#41	1	2	yes	—
153	C₄×D₁₉	—	4	2	no	—
154	C₁₉⋊C₈	—	2	1	no	—
155	C₁₉⋊C₈	—	2	1	no	—
156	C₁₉⋊C₈	—	2	1	no	—
157	C₁₉⋊C₈	—	2	1	no	—
158	#3310	—	19	1	no	maximal, Sylow
159	C₂²×C₁₉	—	2	1	no	—
160	C₂²×C₁₉	—	2	1	no	—
161	C₂²×C₁₉	—	2	1	no	—
162	C₂²×C₁₉	—	2	1	no	—
163	C₂²×C₁₉	—	2	1	no	—
164	C₂²×C₁₉	AGL(1,ℤ/8)	1	2	yes	—
165	C₂²×C₁₉	C₂²×D₄	1	1	yes	characteristic
166	C₂×D₁₉	—	2	2	no	—
167	C₂×D₁₉	—	4	1	no	—
168	C₂×D₁₉	—	4	1	no	—
169	C₂×D₁₉	—	4	1	no	—
170	C₂×D₁₉	—	4	1	no	—
171	C₂×D₁₉	—	4	1	no	—
172	C₂×D₁₉	—	4	1	no	—
173	C₂×D₁₉	—	4	1	no	—
174	C₂×D₁₉	—	4	1	no	—
175	C₂×D₁₉	—	8	4	no	—
176	C₂×D₁₉	—	8	4	no	—
177	C₄×C₁₉	—	2	1	no	—
178	C₄×C₁₉	—	2	1	no	—
179	C₄×C₁₉	—	2	1	no	—
180	C₄×C₁₉	—	2	1	no	—
181	C₄×C₁₉	—	4	1	no	—
182	C₄×C₁₉	—	4	1	no	—
183	C₄×C₁₉	—	4	1	no	—
184	C₄×C₁₉	—	4	1	no	—
185	C₄×C₁₉	C₂×#41	1	1	yes	characteristic
186	C₄×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
187	Dic₁₉	—	4	1	no	—
188	#552	D₁₉	1	1	yes	characteristic, complemented
189	D₄²	—	19	1	no	—
190	#490	—	19	1	no	—
191	#482	—	19	1	no	—
192	#480	—	19	1	no	—
193	#478	—	19	1	no	—
194	#468	—	19	1	no	—
195	#465	—	19	1	no	—
196	#460	—	19	1	no	—
197	#450	—	19	1	no	—
198	#450	—	19	1	no	—
199	#440	—	19	1	no	—
200	#435	—	19	1	no	—
201	#418	—	19	1	no	—
202	C₂×#102	—	19	1	no	—
203	C₂×C₁₉	—	2	2	no	—
204	C₂×C₁₉	—	4	1	no	—
205	C₂×C₁₉	#546	1	1	yes	characteristic
206	C₂×C₁₉	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
207	C₂×C₁₉	#577	1	1	yes	characteristic
208	D₁₉	—	4	2	no	—
209	D₁₉	—	8	1	no	—
210	D₁₉	—	8	1	no	—
211	C₂²×D₄	—	19	1	no	—
212	C₂²×D₄	—	19	1	no	—
213	C₂²×D₄	—	38	1	no	—
214	C₂×SD₁₆	—	19	1	no	—
215	C₂×SD₁₆	—	19	1	no	—
216	C₂×SD₁₆	—	19	1	no	—
217	C₂×M₁₆	—	19	1	no	—
218	C₂²×C₈	—	19	1	no	—
219	#127	—	19	1	no	—
220	#126	—	2	1	no	—
221	#125	—	2	1	no	—
222	#125	C₂×D₁₉	1	1	yes	characteristic, complemented
223	#123	—	2	1	no	—
224	C₂²⋊Q₈	C₂×D₁₉	1	1	yes	characteristic, complemented
225	C₂²⋊Q₈	C₂×D₁₉	1	1	yes	characteristic, complemented
226	#121	—	19	1	no	—
227	#121	—	19	1	no	—
228	#121	—	38	1	no	—
229	#120	—	38	1	no	—
230	#120	—	38	1	no	—
231	C₄×Q₈	C₂×D₁₉	1	1	yes	characteristic, complemented
232	C₄×D₄	—	19	1	no	—
233	C₄×D₄	C₂×D₁₉	1	1	yes	characteristic
234	#117	—	2	1	no	—
235	#117	C₂×D₁₉	1	1	yes	characteristic, complemented
236	C₂×C₄⋊C₄	C₂×D₁₉	1	1	yes	characteristic, complemented
237	#107	—	19	1	no	—
238	#107	—	19	1	no	—
239	#106	—	19	1	no	—
240	C₄⋊C₈	—	19	1	no	—
241	#103	—	19	1	no	—
242	#102	—	19	1	no	—
243	#102	—	19	1	no	—
244	#102	—	19	1	no	—
245	#102	—	19	1	no	—
246	#102	—	19	1	no	—
247	#102	—	19	1	no	—
248	#102	—	19	1	no	—
249	#102	—	19	1	no	—
250	#102	—	19	1	no	—
251	C₂²⋊C₈	—	19	1	no	—
252	C₂²⋊C₈	—	19	1	no	—
253	#97	—	19	1	no	—
254	C₁₉	#3310	1	1	yes	characteristic, complemented, Sylow
255	C₂⁴	—	38	1	no	—
256	C₂⁴	—	38	1	no	—
257	C₂×Q₈	C₂²×D₁₉	1	1	yes	characteristic
258	C₂×D₄	—	19	1	no	—
259	C₂×D₄	—	19	1	no	—
260	C₂×D₄	—	19	1	no	—
261	C₂×D₄	—	38	2	no	—
262	C₂×D₄	—	38	2	no	—
263	C₂×D₄	—	38	1	no	—
264	C₂×D₄	—	38	1	no	—
265	C₂×D₄	—	38	1	no	—
266	C₂×D₄	—	38	1	no	—
267	C₂×D₄	—	38	1	no	—
268	C₂×D₄	—	38	1	no	—
269	C₂×D₄	—	76	1	no	—
270	C₂×D₄	—	76	1	no	—
271	C₂×D₄	—	76	4	no	—
272	C₂×D₄	C₂²⋊D₁₉	1	1	yes	characteristic
273	C₂²×C₄	—	2	1	no	—
274	C₂²×C₄	—	38	1	no	—
275	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
276	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
277	SD₁₆	—	38	2	no	—
278	SD₁₆	—	76	1	no	—
279	SD₁₆	—	76	1	no	—
280	M₁₆	—	76	1	no	—
281	C₂×C₈	—	19	1	no	—
282	C₂×C₈	—	19	1	no	—
283	C₂×C₈	—	19	1	no	—
284	C₂×C₈	—	19	1	no	—
285	C₂×C₈	—	76	1	no	—
286	C₄⋊C₄	—	2	1	no	—
287	C₄⋊C₄	—	2	1	no	—
288	C₄⋊C₄	—	2	1	no	—
289	C₄⋊C₄	—	2	1	no	—
290	C₄⋊C₄	—	2	1	no	—
291	C₄⋊C₄	—	2	1	no	—
292	C₄⋊C₄	—	19	1	no	—
293	C₄⋊C₄	C₂²⋊D₁₉	1	1	yes	characteristic
294	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
295	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
296	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
297	C₂²⋊C₄	—	2	1	no	—
298	C₂²⋊C₄	—	2	1	no	—
299	C₂²⋊C₄	—	2	1	no	—
300	C₂²⋊C₄	—	38	1	no	—
301	C₂²⋊C₄	—	38	1	no	—
302	C₂²⋊C₄	—	38	1	no	—
303	C₂²⋊C₄	C₂²⋊D₁₉	1	1	yes	characteristic
304	C₂²⋊C₄	C₂²⋊D₁₉	1	1	yes	characteristic
305	C₄²	—	2	1	no	—
306	C₄²	—	2	1	no	—
307	C₄²	C₂²×D₁₉	1	1	yes	characteristic
308	C₂³	—	38	1	no	—
309	C₂³	—	38	1	no	—
310	C₂³	—	38	1	no	—
311	C₂³	—	76	2	no	—
312	C₂³	—	76	2	no	—
313	C₂³	—	76	2	no	—
314	C₂³	—	76	2	no	—
315	C₂³	—	152	1	no	—
316	C₂³	—	152	1	no	—
317	C₂³	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
318	C₂³	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
319	Q₈	—	2	1	no	—
320	Q₈	—	2	1	no	—
321	D₄	—	2	2	no	—
322	D₄	—	19	2	no	—
323	D₄	—	38	1	no	—
324	D₄	—	38	1	no	—
325	D₄	—	38	1	no	—
326	D₄	—	38	1	no	—
327	D₄	—	38	1	no	—
328	D₄	—	76	2	no	—
329	D₄	—	76	2	no	—
330	D₄	—	76	2	no	—
331	D₄	—	76	2	no	—
332	D₄	—	76	2	no	—
333	D₄	—	152	1	no	—
334	C₂×C₄	—	2	1	no	—
335	C₂×C₄	—	2	1	no	—
336	C₂×C₄	—	2	1	no	—
337	C₂×C₄	—	2	1	no	—
338	C₂×C₄	—	2	1	no	—
339	C₂×C₄	—	2	1	no	—
340	C₂×C₄	—	2	1	no	—
341	C₂×C₄	—	2	1	no	—
342	C₂×C₄	—	4	2	no	—
343	C₂×C₄	—	38	1	no	—
344	C₂×C₄	—	76	2	no	—
345	C₂×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
346	C₂×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
347	C₂×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
348	C₂×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
349	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
350	C₈	—	38	1	no	—
351	C₈	—	38	1	no	—
352	C₈	—	38	1	no	—
353	C₈	—	38	1	no	—
354	C₂²	—	2	1	no	—
355	C₂²	—	2	1	no	—
356	C₂²	—	2	1	no	—
357	C₂²	—	2	1	no	—
358	C₂²	—	2	1	no	—
359	C₂²	—	38	2	no	—
360	C₂²	—	76	1	no	—
361	C₂²	—	76	1	no	—
362	C₂²	—	76	1	no	—
363	C₂²	—	76	1	no	—
364	C₂²	—	76	1	no	—
365	C₂²	—	76	1	no	—
366	C₂²	—	76	1	no	—
367	C₂²	—	76	1	no	—
368	C₂²	—	152	4	no	—
369	C₂²	—	152	4	no	—
370	C₂²	#10597395	1	2	yes	—
371	C₂²	C₂²×C₂²⋊D₁₉	1	1	yes	characteristic
372	C₄	—	2	1	no	—
373	C₄	—	2	1	no	—
374	C₄	—	2	1	no	—
375	C₄	—	2	1	no	—
376	C₄	—	4	1	no	—
377	C₄	—	4	1	no	—
378	C₄	—	4	1	no	—
379	C₄	—	4	1	no	—
380	C₄	—	76	1	no	—
381	C₄	#41×D₁₉	1	1	yes	characteristic
382	C₄	#10597435	1	1	yes	characteristic
383	C₂	—	2	2	no	—
384	C₂	—	4	1	no	—
385	C₂	—	76	2	no	—
386	C₂	—	152	1	no	—
387	C₂	—	152	1	no	—
388	C₂	#11927182	1	1	yes	characteristic
389	C₂	C₂×#10597395	1	1	yes	characteristic
390	C₂	#11927352	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×C₂²⋊D₁₉
commutator, cosocle	C₂×C₄×C₁₉	C₂⁴
Frattini	C₂×C₄	C₂³×D₁₉
Fitting	C₁₉×#552	C₂
socle	C₂²×C₁₉	C₂²×D₄
prime radical	D₄×D₇₆	C₂
hypercenter	#552	D₁₉
hypocenter	C₁₉	#3310
LCS	G ▷ C₂×C₄×C₁₉ ▷ C₂×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #552

Complements

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

N	H ≅ G/N	type
2. #11926910	C₂	semidirect
3. #11926868	C₂	semidirect
4. #11926857	C₂	semidirect
5. #11926841	C₂	semidirect
6. #11926792	C₂	semidirect
7. #11926775	C₂	semidirect
8. #11926744	C₂	semidirect
9. #11926694	C₂	semidirect
10. #11926694	C₂	semidirect
11. #11926642	C₂	semidirect
12. #11926616	C₂	semidirect
13. #11926548	C₂	semidirect
14. C₂×#10597266	C₂	semidirect
15. C₁₉×#552	C₂	semidirect
21. C₁₉×#125	C₂²	semidirect
23. C₁₉×C₂²⋊Q₈	C₂²	semidirect
24. C₁₉×C₂²⋊Q₈	C₂²	semidirect
25. C₄×Q₈×C₁₉	C₂²	semidirect
28. C₁₉×#117	C₂²	semidirect
29. C₂×C₄⋊C₄×C₁₉	C₂²	semidirect
31. C₂×#64527	C₂²	semidirect
32. C₂×#64527	C₂²	semidirect
35. C₂×#64520	C₂²	semidirect
36. C₂²×C₁₉⋊C₈	C₂²	semidirect
42. #10597292	C₂²	semidirect
43. C₂²⋊(C₁₉⋊C₈)	C₂²	semidirect
44. C₂²⋊(C₁₉⋊C₈)	C₂²	semidirect
48. #10597266	C₂²	semidirect
49. #10597266	C₂²	semidirect
50. #10597266	C₂²	semidirect
51. #10597266	C₂²	semidirect
52. #10597266	C₂²	semidirect
53. #10597266	C₂²	semidirect
54. #10597265	C₂²	semidirect
55. #10597264	C₂²	semidirect
56. #10597264	C₂²	semidirect
57. C₄⋊(C₁₉⋊C₈)	C₂²	semidirect
58. #10597260	C₂²	semidirect
188. #552	D₁₉	semidirect
222. #125	C₂×D₁₉	semidirect
224. C₂²⋊Q₈	C₂×D₁₉	semidirect
225. C₂²⋊Q₈	C₂×D₁₉	semidirect
231. C₄×Q₈	C₂×D₁₉	semidirect
235. #117	C₂×D₁₉	semidirect
236. C₂×C₄⋊C₄	C₂×D₁₉	semidirect
254. C₁₉	#3310	semidirect

Maximal subgroups

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

subgroup	index
D₄×D₇₆	2
#11926910	2
#11926868	2
#11926857	2
#11926841	2
#11926792	2
#11926775	2
#11926744	2
#11926694	2
#11926642	2
#11926616	2
#11926548	2
C₂×#10597266	2
C₁₉×#552	2
#3310	19