Subgroups — #14575443

Order 2432.

494 conjugacy classes of subgroups.

The subgroup lattice has 410 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11927194	C₂	1	1	yes	maximal, characteristic, complemented
2	#11927178	C₂	1	1	yes	maximal, characteristic, complemented
3	#11926889	C₂	1	1	yes	maximal, characteristic, complemented
4	#11926859	C₂	1	1	yes	maximal, characteristic, complemented
5	#11926855	C₂	1	1	yes	maximal, characteristic, complemented
6	#11926823	C₂	1	1	yes	maximal, characteristic, complemented
7	#11926779	C₂	1	1	yes	maximal, characteristic, complemented
8	#11926737	C₂	1	1	yes	maximal, characteristic, complemented
9	#11926677	C₂	1	1	yes	maximal, characteristic, complemented
10	#11926676	C₂	1	1	yes	maximal, characteristic, complemented
11	#11926624	C₂	1	1	yes	maximal, characteristic, complemented
12	C₈×C₂²⋊D₁₉	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#10597278	C₂	1	1	yes	maximal, characteristic, complemented
14	#102×D₁₉	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₉×#466	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#64543	—	2	1	no	—
17	C₂×D₄×D₁₉	—	2	1	no	—
18	C₂×D₄×D₁₉	C₂²	1	1	yes	characteristic
19	C₂²×D₇₆	C₂²	1	1	yes	characteristic
20	C₂×D₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
21	C₂²×C₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
22	C₁₉×#121	C₂²	1	1	yes	characteristic
23	C₁₉×#121	C₂²	1	1	yes	characteristic, complemented
24	#10597386	C₂²	1	1	yes	characteristic
25	#10597384	C₂²	1	1	yes	characteristic, complemented
26	#10597383	—	2	1	no	—
27	#10597381	—	2	1	no	—
28	D₄×Dic₁₉	C₂²	1	1	yes	characteristic, complemented
29	C₂×#64525	C₂²	1	1	yes	characteristic
30	C₂×#64525	C₂²	1	1	yes	characteristic, complemented
31	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic
32	C₂×C₄⋊Dic₁₉	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₈×D₁₉	C₂²	1	1	yes	characteristic, complemented
34	#10597341	C₂²	1	1	yes	characteristic
35	#10597339	C₂²	1	1	yes	characteristic
36	C₄⋊C₄×D₁₉	C₂²	1	1	yes	characteristic, complemented
37	#10597334	C₂²	1	1	yes	characteristic, complemented
38	#10597330	—	2	1	no	—
39	#10597329	—	2	1	no	—
40	#10597328	—	2	1	no	—
41	#10597324	—	2	1	no	—
42	C₁₉×#107	C₂²	1	1	yes	characteristic, complemented
43	C₁₉×#102	C₂²	1	1	yes	characteristic, complemented
44	C₁₉×#102	C₂²	1	1	yes	characteristic, complemented
45	#10597289	C₂²	1	1	yes	characteristic, complemented
46	#10597289	C₂²	1	1	yes	characteristic, complemented
47	C₂²⋊(C₁₉⋊C₈)	C₂²	1	1	yes	characteristic, complemented
48	#10597278	C₂²	1	1	yes	characteristic
49	#10597278	C₂²	1	1	yes	characteristic
50	#10597278	C₂²	1	1	yes	characteristic, complemented
51	#10597278	C₂²	1	1	yes	characteristic, complemented
52	(C₂×D₁₉)⋊C₈	C₂²	1	1	yes	characteristic, complemented
53	Dic₁₉⋊C₈	C₂²	1	1	yes	characteristic, complemented
54	C₈×Dic₁₉	C₂²	1	1	yes	characteristic, complemented
55	#10597266	C₂²	1	1	yes	characteristic
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	—	2	1	no	—
61	C₂×D₄×C₁₉	—	2	1	no	—
62	C₂×D₄×C₁₉	—	2	1	no	—
63	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
64	C₂×D₄×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	C₂×C₂²⋊D₁₉	—	2	1	no	—
69	C₂×C₂²⋊D₁₉	—	2	1	no	—
70	C₂×C₂²⋊D₁₉	D₄	1	1	yes	characteristic
71	C₂²×Dic₁₉	—	2	1	no	—
72	C₂²×Dic₁₉	—	2	1	no	—
73	#64543	—	4	4	no	—
74	D₄×D₁₉	—	2	2	no	—
75	D₄×D₁₉	—	4	1	no	—
76	D₄×D₁₉	—	4	4	no	—
77	C₂×D₇₆	—	2	2	no	—
78	C₂×D₇₆	—	2	1	no	—
79	C₂×D₇₆	—	2	1	no	—
80	C₂×D₇₆	—	4	1	no	—
81	C₂×D₇₆	C₂³	1	1	yes	characteristic
82	C₂×D₇₆	C₂³	1	1	yes	characteristic
83	C₂×C₄×D₁₉	—	2	1	no	—
84	C₂×C₄×D₁₉	—	2	1	no	—
85	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
86	C₂×Dic₃₈	—	2	1	no	—
87	D₈×C₁₉	—	4	1	no	—
88	C₂×C₈×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	C₂³	1	1	yes	characteristic
92	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
93	C₂²⋊C₄×C₁₉	—	2	1	no	—
94	C₂²⋊C₄×C₁₉	—	2	1	no	—
95	C₂²⋊Dic₁₉	—	2	1	no	—
96	C₂²⋊Dic₁₉	—	2	1	no	—
97	C₂²⋊Dic₁₉	D₄	1	1	yes	characteristic
98	#64525	—	2	2	no	—
99	#64525	—	4	1	no	—
100	(C₂×D₁₉)⋊C₄	—	2	1	no	—
101	(C₂×D₁₉)⋊C₄	—	2	1	no	—
102	(C₂×D₁₉)⋊C₄	D₄	1	1	yes	characteristic
103	C₄⋊Dic₁₉	—	2	1	no	—
104	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
105	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
106	Dic₁₉⋊C₄	—	2	1	no	—
107	Dic₁₉⋊C₄	—	2	1	no	—
108	Dic₁₉⋊C₄	D₄	1	1	yes	characteristic
109	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
110	C₂×C₁₉⋊C₈	C₂³	1	1	yes	characteristic
111	C₂×C₁₉⋊C₈	C₂³	1	1	yes	characteristic
112	C₈×D₁₉	—	4	1	no	—
113	C₂³×C₁₉	—	2	1	no	—
114	C₂³×C₁₉	—	2	1	no	—
115	C₂³×C₁₉	C₂×D₄	1	1	yes	characteristic
116	C₂²×D₁₉	—	2	1	no	—
117	C₂²×D₁₉	—	2	1	no	—
118	C₂²×D₁₉	—	4	2	no	—
119	C₂²×D₁₉	—	4	2	no	—
120	C₂²×D₁₉	—	4	2	no	—
121	C₂²×D₁₉	—	4	2	no	—
122	C₂²×D₁₉	—	8	1	no	—
123	C₂²×D₁₉	—	8	1	no	—
124	C₂²×D₁₉	C₂×D₄	1	1	yes	characteristic
125	D₄×C₁₉	—	2	1	no	—
126	D₄×C₁₉	—	2	1	no	—
127	D₄×C₁₉	—	2	1	no	—
128	D₄×C₁₉	—	2	1	no	—
129	D₄×C₁₉	—	4	2	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	C₂×D₄	1	1	yes	characteristic
136	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
137	C₂²⋊D₁₉	—	4	2	no	—
138	C₂²⋊D₁₉	—	4	2	no	—
139	C₂²⋊D₁₉	—	4	2	no	—
140	C₂²⋊D₁₉	—	8	1	no	—
141	C₂²⋊D₁₉	D₈	1	4	yes	complemented
142	C₂×Dic₁₉	—	2	1	no	—
143	C₂×Dic₁₉	—	2	1	no	—
144	C₂×Dic₁₉	—	4	2	no	—
145	C₂×Dic₁₉	—	4	2	no	—
146	C₂×Dic₁₉	C₂×D₄	1	1	yes	characteristic
147	C₂×Dic₁₉	C₂×D₄	1	1	yes	characteristic
148	C₂×Dic₁₉	C₂×D₄	1	1	yes	characteristic
149	D₇₆	—	2	1	no	—
150	D₇₆	—	2	1	no	—
151	D₇₆	—	2	1	no	—
152	D₇₆	—	4	2	no	—
153	D₇₆	—	4	2	no	—
154	D₇₆	#41	1	2	yes	complemented
155	C₄×D₁₉	—	2	1	no	—
156	C₄×D₁₉	—	2	1	no	—
157	C₄×D₁₉	—	4	2	no	—
158	C₄×D₁₉	—	4	2	no	—
159	Dic₃₈	—	4	2	no	—
160	C₈×C₁₉	—	2	1	no	—
161	C₈×C₁₉	—	2	1	no	—
162	C₁₉⋊C₈	—	2	1	no	—
163	C₁₉⋊C₈	—	2	1	no	—
164	#3294	—	19	1	no	maximal, Sylow
165	C₂²×C₁₉	—	2	1	no	—
166	C₂²×C₁₉	—	2	1	no	—
167	C₂²×C₁₉	—	4	1	no	—
168	C₂²×C₁₉	—	4	1	no	—
169	C₂²×C₁₉	—	4	1	no	—
170	C₂²×C₁₉	—	4	1	no	—
171	C₂²×C₁₉	—	4	1	no	—
172	C₂²×C₁₉	—	4	1	no	—
173	C₂²×C₁₉	C₂×D₈	1	2	yes	—
174	C₂²×C₁₉	C₂²×D₄	1	1	yes	characteristic
175	C₂×D₁₉	—	2	1	no	—
176	C₂×D₁₉	—	2	1	no	—
177	C₂×D₁₉	—	2	2	no	—
178	C₂×D₁₉	—	4	1	no	—
179	C₂×D₁₉	—	4	1	no	—
180	C₂×D₁₉	—	4	1	no	—
181	C₂×D₁₉	—	4	1	no	—
182	C₂×D₁₉	—	4	1	no	—
183	C₂×D₁₉	—	8	4	no	—
184	C₂×D₁₉	—	8	4	no	—
185	C₂×D₁₉	C₂×D₈	1	2	yes	—
186	C₄×C₁₉	—	2	1	no	—
187	C₄×C₁₉	—	4	1	no	—
188	C₄×C₁₉	—	4	1	no	—
189	C₄×C₁₉	C₂×#41	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	C₂×D₈	1	2	yes	—
196	#547	—	19	1	no	—
197	D₄²	—	19	1	no	—
198	#486	—	19	1	no	—
199	#480	—	19	1	no	—
200	#480	—	19	1	no	—
201	#474	—	19	1	no	—
202	#466	—	19	1	no	—
203	#466	D₁₉	1	1	yes	characteristic, complemented
204	#459	—	19	1	no	—
205	#447	—	19	1	no	—
206	#447	—	19	1	no	—
207	C₄×D₈	—	19	1	no	—
208	C₈×D₄	—	19	1	no	—
209	C₂×#102	—	19	1	no	—
210	C₂×#102	—	19	1	no	—
211	C₂×C₁₉	—	2	2	no	—
212	C₂×C₁₉	—	8	1	no	—
213	C₂×C₁₉	—	8	1	no	—
214	C₂×C₁₉	#546	1	1	yes	characteristic
215	C₂×C₁₉	C₂²×D₈	1	1	yes	characteristic
216	C₂×C₁₉	#577	1	1	yes	characteristic
217	D₁₉	—	2	2	no	—
218	D₁₉	—	4	2	no	—
219	D₁₉	—	8	1	no	—
220	C₂×#41	—	38	1	no	—
221	C₂²×D₄	—	19	1	no	—
222	C₂²×D₄	—	19	1	no	—
223	C₂²×D₄	—	38	1	no	—
224	C₂×D₈	—	19	1	no	—
225	C₂×D₈	—	19	1	no	—
226	C₂×D₈	C₂×D₁₉	1	1	yes	characteristic, complemented
227	C₂²×C₈	—	19	1	no	—
228	C₂²×C₈	C₂×D₁₉	1	1	yes	characteristic, complemented
229	C₄⋊Q₈	—	19	1	no	—
230	#127	—	19	1	no	—
231	#123	—	38	1	no	—
232	#123	—	38	1	no	—
233	C₂²⋊Q₈	—	38	1	no	—
234	#121	—	19	1	no	—
235	#121	—	19	1	no	—
236	#121	—	38	1	no	—
237	#121	C₂×D₁₉	1	1	yes	characteristic
238	#121	C₂×D₁₉	1	1	yes	characteristic, complemented
239	#120	—	38	1	no	—
240	#120	—	38	1	no	—
241	C₄×D₄	—	19	1	no	—
242	C₄×D₄	—	19	1	no	—
243	C₄×D₄	—	19	1	no	—
244	C₂×C₄⋊C₄	—	19	1	no	—
245	C₂×C₄⋊C₄	—	19	1	no	—
246	#107	—	19	1	no	—
247	#107	—	19	1	no	—
248	#107	C₂×D₁₉	1	1	yes	characteristic, complemented
249	C₄⋊C₈	—	19	1	no	—
250	#102	—	19	1	no	—
251	#102	—	19	1	no	—
252	#102	—	19	1	no	—
253	#102	—	19	1	no	—
254	#102	—	19	1	no	—
255	#102	—	19	1	no	—
256	#102	—	19	1	no	—
257	#102	—	19	1	no	—
258	#102	C₂×D₁₉	1	1	yes	characteristic, complemented
259	#102	C₂×D₁₉	1	1	yes	characteristic, complemented
260	C₂²⋊C₈	—	19	1	no	—
261	C₂²⋊C₈	—	19	1	no	—
262	C₄×C₈	—	19	1	no	—
263	C₁₉	#3294	1	1	yes	characteristic, complemented, Sylow
264	C₂⁴	—	38	1	no	—
265	C₂⁴	—	38	1	no	—
266	#41	—	76	4	no	—
267	C₂×Q₈	—	38	1	no	—
268	C₂×D₄	—	2	1	no	—
269	C₂×D₄	—	2	1	no	—
270	C₂×D₄	—	19	1	no	—
271	C₂×D₄	—	19	1	no	—
272	C₂×D₄	—	19	1	no	—
273	C₂×D₄	—	38	2	no	—
274	C₂×D₄	—	38	1	no	—
275	C₂×D₄	—	38	1	no	—
276	C₂×D₄	—	38	1	no	—
277	C₂×D₄	—	38	1	no	—
278	C₂×D₄	—	38	2	no	—
279	C₂×D₄	—	38	1	no	—
280	C₂×D₄	—	38	1	no	—
281	C₂×D₄	—	76	1	no	—
282	C₂×D₄	—	76	1	no	—
283	C₂×D₄	—	76	4	no	—
284	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
285	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
286	C₂²×C₄	—	19	1	no	—
287	C₂²×C₄	—	38	1	no	—
288	C₂²×C₄	—	38	1	no	—
289	C₂²×C₄	—	38	1	no	—
290	C₂²×C₄	—	38	1	no	—
291	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
292	D₈	—	4	1	no	—
293	D₈	—	38	2	no	—
294	D₈	—	76	1	no	—
295	C₂×C₈	—	4	1	no	—
296	C₂×C₈	—	19	1	no	—
297	C₂×C₈	—	19	1	no	—
298	C₂×C₈	—	76	1	no	—
299	C₂×C₈	C₂²×D₁₉	1	1	yes	characteristic
300	C₂×C₈	C₂²×D₁₉	1	1	yes	characteristic
301	C₄⋊C₄	—	19	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	C₂²×D₁₉	1	1	yes	characteristic
308	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
309	C₂²⋊C₄	—	2	1	no	—
310	C₂²⋊C₄	—	2	1	no	—
311	C₂²⋊C₄	—	19	1	no	—
312	C₂²⋊C₄	—	19	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	C₄²	—	19	1	no	—
318	C₂³	—	2	1	no	—
319	C₂³	—	2	1	no	—
320	C₂³	—	19	1	no	—
321	C₂³	—	38	1	no	—
322	C₂³	—	38	1	no	—
323	C₂³	—	76	2	no	—
324	C₂³	—	76	2	no	—
325	C₂³	—	76	2	no	—
326	C₂³	—	76	2	no	—
327	C₂³	—	152	1	no	—
328	C₂³	—	152	1	no	—
329	C₂³	D₄×D₁₉	1	1	yes	characteristic
330	Q₈	—	76	2	no	—
331	D₄	—	2	1	no	—
332	D₄	—	2	1	no	—
333	D₄	—	2	1	no	—
334	D₄	—	2	1	no	—
335	D₄	—	4	2	no	—
336	D₄	—	4	2	no	—
337	D₄	—	19	4	no	—
338	D₄	—	19	2	no	—
339	D₄	—	38	1	no	—
340	D₄	—	38	1	no	—
341	D₄	—	38	1	no	—
342	D₄	—	76	2	no	—
343	D₄	—	76	2	no	—
344	D₄	—	76	2	no	—
345	D₄	—	76	2	no	—
346	D₄	—	76	2	no	—
347	D₄	—	152	1	no	—
348	C₂×C₄	—	2	1	no	—
349	C₂×C₄	—	2	1	no	—
350	C₂×C₄	—	2	1	no	—
351	C₂×C₄	—	2	1	no	—
352	C₂×C₄	—	19	1	no	—
353	C₂×C₄	—	19	1	no	—
354	C₂×C₄	—	19	1	no	—
355	C₂×C₄	—	38	1	no	—
356	C₂×C₄	—	38	1	no	—
357	C₂×C₄	—	38	1	no	—
358	C₂×C₄	—	38	1	no	—
359	C₂×C₄	—	76	2	no	—
360	C₂×C₄	—	76	2	no	—
361	C₂×C₄	—	76	2	no	—
362	C₂×C₄	—	76	2	no	—
363	C₂×C₄	D₄×D₁₉	1	1	yes	characteristic
364	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
365	C₈	—	2	1	no	—
366	C₈	—	2	1	no	—
367	C₈	—	38	1	no	—
368	C₈	—	38	1	no	—
369	C₂²	—	2	1	no	—
370	C₂²	—	2	1	no	—
371	C₂²	—	4	1	no	—
372	C₂²	—	4	1	no	—
373	C₂²	—	4	1	no	—
374	C₂²	—	4	1	no	—
375	C₂²	—	4	1	no	—
376	C₂²	—	4	1	no	—
377	C₂²	—	19	2	no	—
378	C₂²	—	38	1	no	—
379	C₂²	—	38	1	no	—
380	C₂²	—	38	2	no	—
381	C₂²	—	76	1	no	—
382	C₂²	—	76	1	no	—
383	C₂²	—	76	1	no	—
384	C₂²	—	76	1	no	—
385	C₂²	—	76	1	no	—
386	C₂²	—	152	4	no	—
387	C₂²	—	152	4	no	—
388	C₂²	D₈×D₁₉	1	2	yes	—
389	C₂²	C₂×D₄×D₁₉	1	1	yes	characteristic
390	C₄	—	2	1	no	—
391	C₄	—	4	1	no	—
392	C₄	—	4	1	no	—
393	C₄	—	19	2	no	—
394	C₄	—	38	1	no	—
395	C₄	—	38	1	no	—
396	C₄	—	76	1	no	—
397	C₄	—	76	1	no	—
398	C₄	#10597430	1	1	yes	characteristic
399	C₄	#41×D₁₉	1	1	yes	characteristic
400	C₂	—	2	2	no	—
401	C₂	—	8	1	no	—
402	C₂	—	8	1	no	—
403	C₂	—	38	2	no	—
404	C₂	—	76	2	no	—
405	C₂	—	152	1	no	—
406	C₂	#11927183	1	1	yes	characteristic
407	C₂	C₂×D₈×D₁₉	1	1	yes	characteristic
408	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	C₁₉×#466	C₂
socle	C₂²×C₁₉	C₂²×D₄
hypercenter	#466	D₁₉
hypocenter	C₁₉	#3294
LCS	G ▷ C₂×C₄×C₁₉ ▷ C₂×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂² ◁ C₂²×C₄ ◁ #466

Complements

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

N	H ≅ G/N	type
1. #11927194	C₂	semidirect
2. #11927178	C₂	semidirect
3. #11926889	C₂	semidirect
4. #11926859	C₂	semidirect
5. #11926855	C₂	semidirect
6. #11926823	C₂	semidirect
7. #11926779	C₂	semidirect
8. #11926737	C₂	semidirect
9. #11926677	C₂	semidirect
10. #11926676	C₂	semidirect
11. #11926624	C₂	semidirect
12. C₈×C₂²⋊D₁₉	C₂	semidirect
13. C₂×#10597278	C₂	semidirect
14. #102×D₁₉	C₂	semidirect
15. C₁₉×#466	C₂	semidirect
20. C₂×D₈×C₁₉	C₂²	semidirect
21. C₂²×C₈×C₁₉	C₂²	semidirect
23. C₁₉×#121	C₂²	semidirect
25. #10597384	C₂²	semidirect
28. D₄×Dic₁₉	C₂²	semidirect
30. C₂×#64525	C₂²	semidirect
32. C₂×C₄⋊Dic₁₉	C₂²	semidirect
33. C₂×C₈×D₁₉	C₂²	semidirect
36. C₄⋊C₄×D₁₉	C₂²	semidirect
37. #10597334	C₂²	semidirect
42. C₁₉×#107	C₂²	semidirect
43. C₁₉×#102	C₂²	semidirect
44. C₁₉×#102	C₂²	semidirect
45. #10597289	C₂²	semidirect
46. #10597289	C₂²	semidirect
47. C₂²⋊(C₁₉⋊C₈)	C₂²	semidirect
50. #10597278	C₂²	semidirect
51. #10597278	C₂²	semidirect
52. (C₂×D₁₉)⋊C₈	C₂²	semidirect
53. Dic₁₉⋊C₈	C₂²	semidirect
54. C₈×Dic₁₉	C₂²	semidirect
56. #10597266	C₂²	semidirect
57. #10597264	C₂²	semidirect
58. #10597264	C₂²	semidirect
141. C₂²⋊D₁₉	D₈	semidirect
154. D₇₆	#41	semidirect
203. #466	D₁₉	semidirect
226. C₂×D₈	C₂×D₁₉	semidirect
228. C₂²×C₈	C₂×D₁₉	semidirect
238. #121	C₂×D₁₉	semidirect
248. #107	C₂×D₁₉	semidirect
258. #102	C₂×D₁₉	semidirect
259. #102	C₂×D₁₉	semidirect
263. C₁₉	#3294	semidirect

Maximal subgroups

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

subgroup	index
#11927194	2
#11927178	2
#11926889	2
#11926859	2
#11926855	2
#11926823	2
#11926779	2
#11926737	2
#11926677	2
#11926676	2
#11926624	2
C₈×C₂²⋊D₁₉	2
C₂×#10597278	2
#102×D₁₉	2
C₁₉×#466	2
#3294	19