Subgroups — #14573169

Order 2432.

504 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	C₂×#10597357	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#10597358	C₂	1	1	yes	maximal, characteristic, complemented
3	#11927107	C₂	1	1	yes	maximal, characteristic, complemented
4	#11927023	C₂	1	1	yes	maximal, characteristic, complemented
5	#11926767	C₂	1	1	yes	maximal, characteristic, complemented
6	#11926765	C₂	1	1	yes	maximal, characteristic, complemented
7	#11926759	C₂	1	1	yes	maximal, characteristic, complemented
8	#11926757	C₂	1	1	yes	maximal, characteristic, complemented
9	#11926743	C₂	1	1	yes	maximal, characteristic, complemented
10	#11926741	C₂	1	1	yes	maximal, characteristic, complemented
11	#11926737	C₂	1	1	yes	maximal, characteristic, complemented
12	#11926569	C₂	1	1	yes	maximal, characteristic, complemented
13	#11926542	C₂	1	1	yes	maximal, characteristic, complemented
14	#102×D₁₉	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₉×#459	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#64543	C₂²	1	1	yes	characteristic
17	C₂×#64543	C₂²	1	1	yes	characteristic
18	C₂×D₄×D₁₉	C₂²	1	1	yes	characteristic
19	C₂×D₈×C₁₉	C₂²	1	1	yes	characteristic
20	C₂×D₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
21	C₁₉×#127	C₂²	1	1	yes	characteristic
22	C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
23	#10597386	C₂²	1	1	yes	characteristic
24	#10597385	—	2	1	no	—
25	#10597385	—	2	1	no	—
26	#10597383	—	2	1	no	—
27	#10597383	—	2	1	no	—
28	#10597382	C₂²	1	1	yes	characteristic
29	D₄×Dic₁₉	C₂²	1	1	yes	characteristic, complemented
30	C₂×#64526	C₂²	1	1	yes	characteristic
31	C₂×#64526	C₂²	1	1	yes	characteristic, complemented
32	C₂×#64526	C₂²	1	1	yes	characteristic, complemented
33	C₂×#64525	C₂²	1	1	yes	characteristic
34	C₄×C₂²⋊D₁₉	—	2	1	no	—
35	C₂×Dic₁₉⋊C₄	—	2	1	no	—
36	#10597358	—	2	4	no	—
37	#10597357	—	2	4	no	—
38	C₂×Dic₇₆	C₂²	1	1	yes	characteristic, complemented
39	C₂×#64516	C₂²	1	1	yes	characteristic
40	C₂×#64515	C₂²	1	1	yes	characteristic
41	C₂×C₈×D₁₉	C₂²	1	1	yes	characteristic
42	C₄⋊C₄×D₁₉	C₂²	1	1	yes	characteristic
43	#10597333	C₂²	1	1	yes	characteristic, complemented
44	(C₂²⋊D₁₉)⋊C₄	—	2	1	no	—
45	#10597323	—	2	1	no	—
46	#10597321	C₂²	1	1	yes	characteristic
47	#10597318	C₂²	1	1	yes	characteristic
48	C₄×Dic₃₈	C₂²	1	1	yes	characteristic, complemented
49	C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
50	C₁₉×#102	C₂²	1	1	yes	characteristic
51	C₁₉×#102	C₂²	1	1	yes	characteristic, complemented
52	#10597289	C₂²	1	1	yes	characteristic
53	#10597289	C₂²	1	1	yes	characteristic, complemented
54	#10597278	C₂²	1	1	yes	characteristic
55	#10597273	C₂²	1	1	yes	characteristic, complemented
56	Dic₁₉⋊C₈	C₂²	1	1	yes	characteristic, complemented
57	Dic₁₉⋊C₈	C₂²	1	1	yes	characteristic, complemented
58	#10597267	C₂²	1	1	yes	characteristic, complemented
59	#10597266	C₂²	1	1	yes	characteristic
60	C₄⋊(C₁₉⋊C₈)	C₂²	1	1	yes	characteristic, complemented
61	C₂³×D₁₉	—	2	1	no	—
62	C₂×D₄×C₁₉	—	2	1	no	—
63	C₂×D₄×C₁₉	—	2	1	no	—
64	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
65	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
66	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
67	C₂²×C₄×C₁₉	—	2	1	no	—
68	C₂×C₂²⋊D₁₉	—	2	1	no	—
69	C₂×C₂²⋊D₁₉	—	2	1	no	—
70	C₂×C₂²⋊D₁₉	—	2	1	no	—
71	C₂×C₂²⋊D₁₉	—	2	1	no	—
72	C₂×C₂²⋊D₁₉	—	2	1	no	—
73	C₂²×Dic₁₉	—	2	1	no	—
74	C₂²×Dic₁₉	—	2	1	no	—
75	C₂²×Dic₁₉	—	2	1	no	—
76	#64543	—	2	2	no	—
77	#64543	—	2	2	no	—
78	#64543	—	2	2	no	—
79	#64543	D₄	1	4	yes	complemented
80	D₄×D₁₉	—	2	2	no	—
81	D₄×D₁₉	—	2	2	no	—
82	C₂×D₇₆	C₂³	1	1	yes	characteristic
83	C₂×C₄×D₁₉	—	2	1	no	—
84	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
85	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
86	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
87	D₈×C₁₉	—	2	2	no	—
88	D₈×C₁₉	—	2	2	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	C₂²⋊C₄×C₁₉	—	2	1	no	—
93	C₄²×C₁₉	C₂³	1	1	yes	characteristic
94	C₂²⋊Dic₁₉	—	2	1	no	—
95	C₂²⋊Dic₁₉	—	2	1	no	—
96	C₂²⋊Dic₁₉	—	2	1	no	—
97	#64526	—	2	2	no	—
98	#64526	—	2	2	no	—
99	#64526	—	2	2	no	—
100	#64525	—	2	2	no	—
101	(C₂×D₁₉)⋊C₄	—	2	1	no	—
102	(C₂×D₁₉)⋊C₄	—	2	1	no	—
103	(C₂×D₁₉)⋊C₄	D₄	1	1	yes	characteristic
104	(C₂×D₁₉)⋊C₄	D₄	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	—	2	1	no	—
109	Dic₁₉⋊C₄	D₄	1	1	yes	characteristic
110	Dic₁₉⋊C₄	D₄	1	1	yes	characteristic
111	C₄×Dic₁₉	—	2	1	no	—
112	C₄×Dic₁₉	—	2	1	no	—
113	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
114	C₂×C₁₉⋊C₈	C₂³	1	1	yes	characteristic
115	C₂×C₁₉⋊C₈	C₂³	1	1	yes	characteristic
116	Dic₇₆	—	2	2	no	—
117	#64516	—	2	2	no	—
118	#64515	—	2	2	no	—
119	C₈×D₁₉	—	2	2	no	—
120	C₂³×C₁₉	—	2	1	no	—
121	C₂³×C₁₉	—	2	1	no	—
122	C₂³×C₁₉	—	2	1	no	—
123	C₂²×D₁₉	—	2	1	no	—
124	C₂²×D₁₉	—	4	2	no	—
125	C₂²×D₁₉	—	8	1	no	—
126	C₂²×D₁₉	—	8	1	no	—
127	C₂²×D₁₉	C₂×D₄	1	1	yes	characteristic
128	D₄×C₁₉	—	2	1	no	—
129	D₄×C₁₉	—	2	1	no	—
130	D₄×C₁₉	—	2	1	no	—
131	D₄×C₁₉	—	2	1	no	—
132	D₄×C₁₉	—	2	1	no	—
133	D₄×C₁₉	—	8	1	no	—
134	D₄×C₁₉	—	8	1	no	—
135	D₄×C₁₉	C₂×D₄	1	2	yes	—
136	C₂×C₄×C₁₉	—	2	1	no	—
137	C₂×C₄×C₁₉	—	8	1	no	—
138	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
139	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
140	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
141	C₂²⋊D₁₉	—	2	4	no	—
142	C₂²⋊D₁₉	—	4	2	no	—
143	C₂²⋊D₁₉	—	4	2	no	—
144	C₂²⋊D₁₉	—	8	1	no	—
145	C₂²⋊D₁₉	—	8	1	no	—
146	C₂×Dic₁₉	—	2	1	no	—
147	C₂×Dic₁₉	—	2	4	no	—
148	C₂×Dic₁₉	—	2	1	no	—
149	C₂×Dic₁₉	—	2	1	no	—
150	C₂×Dic₁₉	—	4	2	no	—
151	C₂×Dic₁₉	—	8	1	no	—
152	C₂×Dic₁₉	C₂×D₄	1	1	yes	characteristic
153	C₂×Dic₁₉	C₂×D₄	1	1	yes	characteristic
154	C₂×Dic₁₉	C₂×D₄	1	1	yes	characteristic
155	D₇₆	—	2	1	no	—
156	D₇₆	—	2	1	no	—
157	C₄×D₁₉	—	8	1	no	—
158	C₄×D₁₉	C₂×D₄	1	2	yes	—
159	C₄×D₁₉	#41	1	2	yes	—
160	Dic₃₈	—	2	1	no	—
161	Dic₃₈	—	2	1	no	—
162	Dic₃₈	—	2	1	no	—
163	Dic₃₈	C₂×D₄	1	2	yes	—
164	C₈×C₁₉	—	2	1	no	—
165	C₈×C₁₉	—	2	1	no	—
166	C₁₉⋊C₈	—	2	1	no	—
167	C₁₉⋊C₈	—	2	1	no	—
168	#3045	—	19	1	no	maximal, Sylow
169	C₂²×C₁₉	—	2	2	no	—
170	C₂²×C₁₉	—	4	1	no	—
171	C₂²×C₁₉	—	4	1	no	—
172	C₂²×C₁₉	—	4	1	no	—
173	C₂²×C₁₉	—	4	1	no	—
174	C₂²×C₁₉	—	4	1	no	—
175	C₂²×C₁₉	—	4	1	no	—
176	C₂²×C₁₉	—	4	1	no	—
177	C₂²×C₁₉	—	4	1	no	—
178	C₂²×C₁₉	C₂²×D₄	1	1	yes	characteristic
179	C₂×D₁₉	—	2	1	no	—
180	C₂×D₁₉	—	2	1	no	—
181	C₂×D₁₉	—	4	1	no	—
182	C₂×D₁₉	—	4	1	no	—
183	C₂×D₁₉	—	4	1	no	—
184	C₂×D₁₉	—	8	4	no	—
185	C₂×D₁₉	#121	1	2	yes	—
186	C₄×C₁₉	—	2	1	no	—
187	C₄×C₁₉	—	2	1	no	—
188	C₄×C₁₉	—	4	1	no	—
189	C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
190	C₄×C₁₉	C₂×#41	1	1	yes	characteristic
191	Dic₁₉	—	2	2	no	—
192	Dic₁₉	—	2	1	no	—
193	Dic₁₉	—	2	1	no	—
194	Dic₁₉	—	4	1	no	—
195	Dic₁₉	—	4	1	no	—
196	Dic₁₉	#121	1	2	yes	—
197	C₂×AGL(1,ℤ/8)	—	19	1	no	—
198	C₂×#135	—	19	1	no	—
199	#535	—	19	1	no	—
200	#520	—	19	1	no	—
201	#464	—	19	1	no	—
202	#464	—	19	1	no	—
203	#463	—	19	1	no	—
204	#463	—	19	1	no	—
205	#460	—	19	1	no	—
206	#460	—	19	1	no	—
207	#459	—	19	1	no	—
208	#459	D₁₉	1	1	yes	characteristic, complemented
209	#424	—	19	1	no	—
210	#417	—	19	1	no	—
211	C₂×#102	—	19	1	no	—
212	C₂×C₁₉	—	4	2	no	—
213	C₂×C₁₉	—	8	1	no	—
214	C₂×C₁₉	—	8	1	no	—
215	C₂×C₁₉	C₂×#121	1	1	yes	characteristic
216	C₂×C₁₉	#576	1	1	yes	characteristic
217	C₂×C₁₉	#577	1	1	yes	characteristic
218	D₁₉	—	2	2	no	—
219	D₁₉	—	8	1	no	—
220	C₂×#41	—	19	1	no	—
221	C₂×#41	—	19	1	no	—
222	C₂²×D₄	—	19	1	no	—
223	AGL(1,ℤ/8)	—	38	4	no	—
224	#135	—	38	4	no	—
225	C₂×Q₁₆	—	19	1	no	—
226	C₂×SD₁₆	—	19	1	no	—
227	C₂×SD₁₆	—	19	1	no	—
228	C₂×SD₁₆	—	19	1	no	—
229	C₂×SD₁₆	—	19	1	no	—
230	C₂×D₈	—	19	1	no	—
231	C₂×D₈	C₂×D₁₉	1	1	yes	characteristic
232	C₂×D₈	C₂×D₁₉	1	1	yes	characteristic, complemented
233	C₂×M₁₆	—	19	1	no	—
234	C₂²×C₈	—	19	1	no	—
235	#127	—	19	1	no	—
236	#127	C₂×D₁₉	1	1	yes	characteristic
237	#124	—	19	1	no	—
238	#124	—	19	1	no	—
239	#121	—	38	1	no	—
240	#121	—	38	1	no	—
241	#120	—	38	1	no	—
242	#120	—	38	1	no	—
243	C₄×Q₈	—	19	1	no	—
244	C₄×Q₈	—	19	1	no	—
245	C₄×D₄	—	19	1	no	—
246	C₄×D₄	—	38	1	no	—
247	C₄×D₄	—	38	1	no	—
248	C₄×D₄	C₂×D₁₉	1	1	yes	characteristic, complemented
249	#117	—	19	1	no	—
250	#117	—	38	1	no	—
251	C₂×C₄⋊C₄	—	19	1	no	—
252	C₂×C₄⋊C₄	—	38	1	no	—
253	C₄⋊C₈	—	19	1	no	—
254	C₄⋊C₈	—	19	1	no	—
255	C₄⋊C₈	—	19	1	no	—
256	C₄⋊C₈	C₂×D₁₉	1	1	yes	characteristic, complemented
257	#103	—	19	1	no	—
258	#103	—	19	1	no	—
259	#102	—	19	1	no	—
260	#102	—	19	1	no	—
261	#102	—	19	1	no	—
262	#102	—	19	1	no	—
263	#102	C₂×D₁₉	1	1	yes	characteristic
264	#102	C₂×D₁₉	1	1	yes	characteristic, complemented
265	C₁₉	#3045	1	1	yes	characteristic, complemented, Sylow
266	C₂⁴	—	38	1	no	—
267	#41	—	19	4	no	—
268	#41	—	38	2	no	—
269	#41	—	38	2	no	—
270	#41	—	38	2	no	—
271	C₂×Q₈	—	19	1	no	—
272	C₂×Q₈	—	19	1	no	—
273	C₂×D₄	—	2	1	no	—
274	C₂×D₄	—	2	1	no	—
275	C₂×D₄	—	19	1	no	—
276	C₂×D₄	—	38	2	no	—
277	C₂×D₄	—	38	2	no	—
278	C₂×D₄	—	38	1	no	—
279	C₂×D₄	—	38	1	no	—
280	C₂×D₄	—	38	1	no	—
281	C₂×D₄	—	38	1	no	—
282	C₂×D₄	—	38	1	no	—
283	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
284	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
285	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
286	C₂²×C₄	—	2	1	no	—
287	C₂²×C₄	—	19	1	no	—
288	C₂²×C₄	—	38	1	no	—
289	C₂²×C₄	—	38	1	no	—
290	C₂²×C₄	—	38	1	no	—
291	C₂²×C₄	—	38	1	no	—
292	Q₁₆	—	38	2	no	—
293	SD₁₆	—	38	2	no	—
294	SD₁₆	—	38	2	no	—
295	SD₁₆	—	38	2	no	—
296	SD₁₆	—	38	2	no	—
297	D₈	—	2	2	no	—
298	D₈	—	2	2	no	—
299	D₈	—	38	2	no	—
300	M₁₆	—	38	2	no	—
301	C₂×C₈	—	19	1	no	—
302	C₂×C₈	—	19	1	no	—
303	C₂×C₈	—	38	2	no	—
304	C₂×C₈	C₂²×D₁₉	1	1	yes	characteristic
305	C₂×C₈	C₂²×D₁₉	1	1	yes	characteristic
306	C₄⋊C₄	—	19	1	no	—
307	C₄⋊C₄	—	19	1	no	—
308	C₄⋊C₄	—	19	1	no	—
309	C₄⋊C₄	—	38	1	no	—
310	C₄⋊C₄	—	38	1	no	—
311	C₄⋊C₄	—	38	1	no	—
312	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
313	C₂²⋊C₄	—	2	1	no	—
314	C₂²⋊C₄	—	19	1	no	—
315	C₂²⋊C₄	—	19	1	no	—
316	C₂²⋊C₄	—	38	1	no	—
317	C₂²⋊C₄	—	38	1	no	—
318	C₂²⋊C₄	—	38	1	no	—
319	C₂²⋊C₄	—	38	1	no	—
320	C₂²⋊C₄	—	38	1	no	—
321	C₄²	—	19	1	no	—
322	C₄²	—	38	1	no	—
323	C₄²	—	38	1	no	—
324	C₄²	C₂²×D₁₉	1	1	yes	characteristic
325	C₂³	—	2	1	no	—
326	C₂³	—	2	1	no	—
327	C₂³	—	2	1	no	—
328	C₂³	—	19	1	no	—
329	C₂³	—	38	1	no	—
330	C₂³	—	76	2	no	—
331	C₂³	—	152	1	no	—
332	C₂³	—	152	1	no	—
333	Q₈	—	19	2	no	—
334	Q₈	—	38	1	no	—
335	Q₈	—	38	1	no	—
336	Q₈	—	38	1	no	—
337	D₄	—	2	1	no	—
338	D₄	—	2	1	no	—
339	D₄	—	2	1	no	—
340	D₄	—	2	1	no	—
341	D₄	—	2	1	no	—
342	D₄	—	8	1	no	—
343	D₄	—	8	1	no	—
344	D₄	—	38	4	no	—
345	D₄	—	38	1	no	—
346	D₄	—	38	1	no	—
347	D₄	—	76	2	no	—
348	D₄	—	76	2	no	—
349	D₄	—	152	1	no	—
350	D₄	—	152	1	no	—
351	D₄	D₄×D₁₉	1	2	yes	—
352	C₂×C₄	—	2	1	no	—
353	C₂×C₄	—	8	1	no	—
354	C₂×C₄	—	19	1	no	—
355	C₂×C₄	—	19	2	no	—
356	C₂×C₄	—	19	2	no	—
357	C₂×C₄	—	19	1	no	—
358	C₂×C₄	—	19	1	no	—
359	C₂×C₄	—	38	4	no	—
360	C₂×C₄	—	38	1	no	—
361	C₂×C₄	—	38	1	no	—
362	C₂×C₄	—	38	1	no	—
363	C₂×C₄	—	76	2	no	—
364	C₂×C₄	—	152	1	no	—
365	C₂×C₄	—	152	1	no	—
366	C₂×C₄	D₄×D₁₉	1	1	yes	characteristic
367	C₂×C₄	D₄×D₁₉	1	1	yes	characteristic
368	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
369	C₈	—	2	1	no	—
370	C₈	—	2	1	no	—
371	C₈	—	38	1	no	—
372	C₈	—	38	1	no	—
373	C₂²	—	2	2	no	—
374	C₂²	—	4	1	no	—
375	C₂²	—	4	1	no	—
376	C₂²	—	4	1	no	—
377	C₂²	—	4	1	no	—
378	C₂²	—	4	1	no	—
379	C₂²	—	4	1	no	—
380	C₂²	—	4	1	no	—
381	C₂²	—	4	1	no	—
382	C₂²	—	19	2	no	—
383	C₂²	—	38	1	no	—
384	C₂²	—	38	1	no	—
385	C₂²	—	76	1	no	—
386	C₂²	—	76	1	no	—
387	C₂²	—	76	1	no	—
388	C₂²	—	152	4	no	—
389	C₂²	C₂×D₄×D₁₉	1	1	yes	characteristic
390	C₄	—	2	1	no	—
391	C₄	—	2	1	no	—
392	C₄	—	4	1	no	—
393	C₄	—	19	2	no	—
394	C₄	—	38	1	no	—
395	C₄	—	38	1	no	—
396	C₄	—	38	2	no	—
397	C₄	—	76	1	no	—
398	C₄	—	76	1	no	—
399	C₄	C₂×D₄×D₁₉	1	1	yes	characteristic
400	C₄	#41×D₁₉	1	1	yes	characteristic
401	C₂	—	4	2	no	—
402	C₂	—	8	1	no	—
403	C₂	—	8	1	no	—
404	C₂	—	38	2	no	—
405	C₂	—	152	1	no	—
406	C₂	#121×D₁₉	1	1	yes	characteristic
407	C₂	#11927345	1	1	yes	characteristic
408	C₂	#11927354	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×#459	C₂
socle	C₂²×C₁₉	C₂²×D₄
hypercenter	#459	D₁₉
hypocenter	C₁₉	#3045
LCS	G ▷ C₂×C₄×C₁₉ ▷ C₂×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂² ◁ C₄² ◁ #459

Complements

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

N	H ≅ G/N	type
1. C₂×#10597357	C₂	semidirect
2. C₂×#10597358	C₂	semidirect
3. #11927107	C₂	semidirect
4. #11927023	C₂	semidirect
5. #11926767	C₂	semidirect
6. #11926765	C₂	semidirect
7. #11926759	C₂	semidirect
8. #11926757	C₂	semidirect
9. #11926743	C₂	semidirect
10. #11926741	C₂	semidirect
11. #11926737	C₂	semidirect
12. #11926569	C₂	semidirect
13. #11926542	C₂	semidirect
14. #102×D₁₉	C₂	semidirect
15. C₁₉×#459	C₂	semidirect
20. C₂×D₈×C₁₉	C₂²	semidirect
22. C₄×D₄×C₁₉	C₂²	semidirect
29. D₄×Dic₁₉	C₂²	semidirect
31. C₂×#64526	C₂²	semidirect
32. C₂×#64526	C₂²	semidirect
38. C₂×Dic₇₆	C₂²	semidirect
43. #10597333	C₂²	semidirect
48. C₄×Dic₃₈	C₂²	semidirect
49. C₁₉×C₄⋊C₈	C₂²	semidirect
51. C₁₉×#102	C₂²	semidirect
53. #10597289	C₂²	semidirect
55. #10597273	C₂²	semidirect
56. Dic₁₉⋊C₈	C₂²	semidirect
57. Dic₁₉⋊C₈	C₂²	semidirect
58. #10597267	C₂²	semidirect
60. C₄⋊(C₁₉⋊C₈)	C₂²	semidirect
79. #64543	D₄	semidirect
208. #459	D₁₉	semidirect
232. C₂×D₈	C₂×D₁₉	semidirect
248. C₄×D₄	C₂×D₁₉	semidirect
256. C₄⋊C₈	C₂×D₁₉	semidirect
264. #102	C₂×D₁₉	semidirect
265. C₁₉	#3045	semidirect

Maximal subgroups

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

subgroup	index
C₂×#10597357	2
C₂×#10597358	2
#11927107	2
#11927023	2
#11926767	2
#11926765	2
#11926759	2
#11926757	2
#11926743	2
#11926741	2
#11926737	2
#11926569	2
#11926542	2
#102×D₁₉	2
C₁₉×#459	2
#3045	19