Subgroups — #14573133

Order 2432.

526 conjugacy classes of subgroups.

The subgroup lattice has 424 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×D₈×D₁₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#11927107	C₂	1	1	yes	maximal, characteristic, complemented
4	#11927016	C₂	1	1	yes	maximal, characteristic, complemented
5	#11926760	C₂	1	1	yes	maximal, characteristic, complemented
6	#11926759	C₂	1	1	yes	maximal, characteristic, complemented
7	#11926758	C₂	1	1	yes	maximal, characteristic, complemented
8	#11926757	C₂	1	1	yes	maximal, characteristic, complemented
9	#11926738	C₂	1	1	yes	maximal, characteristic, complemented
10	#11926737	C₂	1	1	yes	maximal, characteristic, complemented
11	#11926736	C₂	1	1	yes	maximal, characteristic, complemented
12	#11926569	C₂	1	1	yes	maximal, characteristic, complemented
13	#11926547	C₂	1	1	yes	maximal, characteristic, complemented
14	#11926537	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×D₄×D₁₉	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, complemented
22	C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
23	#10597386	C₂²	1	1	yes	characteristic, complemented
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, complemented
29	D₄×Dic₁₉	C₂²	1	1	yes	characteristic, complemented
30	C₂×#64526	C₂²	1	1	yes	characteristic, complemented
31	C₂×#64525	C₂²	1	1	yes	characteristic
32	C₂×#64525	C₂²	1	1	yes	characteristic
33	C₂×#64525	C₂²	1	1	yes	characteristic, complemented
34	C₄×C₂²⋊D₁₉	—	2	1	no	—
35	C₂×(C₂×D₁₉)⋊C₄	—	2	1	no	—
36	#10597357	—	2	4	no	—
37	D₈×D₁₉	—	2	4	no	—
38	C₂×D₁₅₂	C₂²	1	1	yes	characteristic
39	C₂×#64516	C₂²	1	1	yes	characteristic, complemented
40	C₂×#64515	C₂²	1	1	yes	characteristic
41	C₂×C₈×D₁₉	C₂²	1	1	yes	characteristic
42	#10597339	C₂²	1	1	yes	characteristic, complemented
43	#10597338	C₂²	1	1	yes	characteristic
44	(C₂²⋊D₁₉)⋊C₄	—	2	1	no	—
45	C₂²⋊C₄×D₁₉	—	2	1	no	—
46	#10597321	C₂²	1	1	yes	characteristic, complemented
47	C₄×D₇₆	C₂²	1	1	yes	characteristic, complemented
48	#10597318	C₂²	1	1	yes	characteristic
49	C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
50	C₁₉×#102	C₂²	1	1	yes	characteristic, complemented
51	C₁₉×#102	C₂²	1	1	yes	characteristic, complemented
52	#10597289	C₂²	1	1	yes	characteristic, complemented
53	#10597289	C₂²	1	1	yes	characteristic, complemented
54	#10597278	C₂²	1	1	yes	characteristic, complemented
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, complemented
60	C₄⋊(C₁₉⋊C₈)	C₂²	1	1	yes	characteristic, complemented
61	C₂³×D₁₉	—	2	1	no	—
62	C₂³×D₁₉	—	2	1	no	—
63	C₂×D₄×C₁₉	—	2	1	no	—
64	C₂×D₄×C₁₉	—	2	1	no	—
65	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
66	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
67	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
68	C₂²×C₄×C₁₉	—	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	C₂×C₂²⋊D₁₉	—	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	D₄×D₁₉	—	2	2	no	—
79	D₄×D₁₉	—	2	2	no	—
80	D₄×D₁₉	—	2	2	no	—
81	D₄×D₁₉	D₄	1	4	yes	complemented
82	C₂×D₇₆	C₂³	1	1	yes	characteristic
83	C₂×D₇₆	C₂³	1	1	yes	characteristic
84	C₂×C₄×D₁₉	—	2	1	no	—
85	C₂×C₄×D₁₉	—	2	1	no	—
86	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
87	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
88	D₈×C₁₉	—	2	2	no	—
89	D₈×C₁₉	—	2	2	no	—
90	C₂×C₈×C₁₉	C₂³	1	1	yes	characteristic
91	C₂×C₈×C₁₉	C₂³	1	1	yes	characteristic
92	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
93	C₂²⋊C₄×C₁₉	—	2	1	no	—
94	C₄²×C₁₉	C₂³	1	1	yes	characteristic
95	C₂²⋊Dic₁₉	—	2	1	no	—
96	C₂²⋊Dic₁₉	—	2	1	no	—
97	C₂²⋊Dic₁₉	—	2	1	no	—
98	#64526	—	2	2	no	—
99	#64525	—	2	2	no	—
100	#64525	—	2	2	no	—
101	#64525	—	2	2	no	—
102	(C₂×D₁₉)⋊C₄	—	2	1	no	—
103	(C₂×D₁₉)⋊C₄	—	2	1	no	—
104	(C₂×D₁₉)⋊C₄	—	2	1	no	—
105	(C₂×D₁₉)⋊C₄	—	2	1	no	—
106	(C₂×D₁₉)⋊C₄	—	2	1	no	—
107	(C₂×D₁₉)⋊C₄	D₄	1	1	yes	characteristic
108	(C₂×D₁₉)⋊C₄	D₄	1	1	yes	characteristic
109	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
110	Dic₁₉⋊C₄	D₄	1	1	yes	characteristic
111	Dic₁₉⋊C₄	D₄	1	1	yes	characteristic
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	D₁₅₂	—	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	—	2	4	no	—
125	C₂²×D₁₉	—	2	1	no	—
126	C₂²×D₁₉	—	4	2	no	—
127	C₂²×D₁₉	—	8	1	no	—
128	C₂²×D₁₉	—	8	1	no	—
129	C₂²×D₁₉	—	8	1	no	—
130	C₂²×D₁₉	—	8	1	no	—
131	C₂²×D₁₉	C₂×D₄	1	1	yes	characteristic
132	D₄×C₁₉	—	2	1	no	—
133	D₄×C₁₉	—	2	1	no	—
134	D₄×C₁₉	—	2	1	no	—
135	D₄×C₁₉	—	2	1	no	—
136	D₄×C₁₉	—	2	1	no	—
137	D₄×C₁₉	—	8	1	no	—
138	D₄×C₁₉	—	8	1	no	—
139	D₄×C₁₉	C₂×D₄	1	2	yes	—
140	C₂×C₄×C₁₉	—	2	1	no	—
141	C₂×C₄×C₁₉	—	8	1	no	—
142	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
143	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
144	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
145	C₂²⋊D₁₉	—	2	4	no	—
146	C₂²⋊D₁₉	—	4	2	no	—
147	C₂²⋊D₁₉	—	4	2	no	—
148	C₂²⋊D₁₉	—	8	1	no	—
149	C₂²⋊D₁₉	—	8	1	no	—
150	C₂×Dic₁₉	—	2	1	no	—
151	C₂×Dic₁₉	—	2	1	no	—
152	C₂×Dic₁₉	—	4	2	no	—
153	C₂×Dic₁₉	—	8	1	no	—
154	C₂×Dic₁₉	C₂×D₄	1	1	yes	characteristic
155	C₂×Dic₁₉	C₂×D₄	1	1	yes	characteristic
156	C₂×Dic₁₉	C₂×D₄	1	1	yes	characteristic
157	D₇₆	—	2	1	no	—
158	D₇₆	—	2	1	no	—
159	D₇₆	—	2	1	no	—
160	D₇₆	C₂×D₄	1	2	yes	—
161	C₄×D₁₉	—	8	1	no	—
162	C₄×D₁₉	—	8	1	no	—
163	C₄×D₁₉	C₂×D₄	1	2	yes	—
164	C₄×D₁₉	#41	1	2	yes	—
165	Dic₃₈	—	2	1	no	—
166	Dic₃₈	—	2	1	no	—
167	C₈×C₁₉	—	2	1	no	—
168	C₈×C₁₉	—	2	1	no	—
169	C₁₉⋊C₈	—	2	1	no	—
170	C₁₉⋊C₈	—	2	1	no	—
171	#3041	—	19	1	no	maximal, Sylow
172	C₂²×C₁₉	—	2	2	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	—	4	1	no	—
179	C₂²×C₁₉	—	4	1	no	—
180	C₂²×C₁₉	—	4	1	no	—
181	C₂²×C₁₉	C₂²×D₄	1	1	yes	characteristic
182	C₂×D₁₉	—	2	1	no	—
183	C₂×D₁₉	—	2	1	no	—
184	C₂×D₁₉	—	2	2	no	—
185	C₂×D₁₉	—	4	1	no	—
186	C₂×D₁₉	—	4	1	no	—
187	C₂×D₁₉	—	4	1	no	—
188	C₂×D₁₉	—	4	1	no	—
189	C₂×D₁₉	—	4	1	no	—
190	C₂×D₁₉	—	8	4	no	—
191	C₂×D₁₉	—	8	4	no	—
192	C₂×D₁₉	#121	1	2	yes	—
193	C₄×C₁₉	—	2	1	no	—
194	C₄×C₁₉	—	2	1	no	—
195	C₄×C₁₉	—	4	1	no	—
196	C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
197	C₄×C₁₉	C₂×#41	1	1	yes	characteristic
198	Dic₁₉	—	2	1	no	—
199	Dic₁₉	—	2	1	no	—
200	Dic₁₉	—	4	1	no	—
201	Dic₁₉	—	4	1	no	—
202	Dic₁₉	#121	1	2	yes	—
203	C₂×AGL(1,ℤ/8)	—	19	1	no	—
204	C₂²×D₈	—	19	1	no	—
205	#535	—	19	1	no	—
206	#518	—	19	1	no	—
207	#463	—	19	1	no	—
208	#463	—	19	1	no	—
209	#463	—	19	1	no	—
210	#463	—	19	1	no	—
211	#459	—	19	1	no	—
212	#459	—	19	1	no	—
213	#459	—	19	1	no	—
214	#459	D₁₉	1	1	yes	characteristic, complemented
215	#424	—	19	1	no	—
216	#418	—	19	1	no	—
217	#416	—	19	1	no	—
218	C₂×C₁₉	—	4	2	no	—
219	C₂×C₁₉	—	8	1	no	—
220	C₂×C₁₉	—	8	1	no	—
221	C₂×C₁₉	C₂×#121	1	1	yes	characteristic
222	C₂×C₁₉	#576	1	1	yes	characteristic
223	C₂×C₁₉	#576	1	1	yes	characteristic
224	D₁₉	—	2	2	no	—
225	D₁₉	—	4	2	no	—
226	D₁₉	—	8	1	no	—
227	C₂×#41	—	19	1	no	—
228	C₂²×D₄	—	19	1	no	—
229	C₂²×D₄	—	19	1	no	—
230	AGL(1,ℤ/8)	—	38	4	no	—
231	C₂×SD₁₆	—	19	1	no	—
232	C₂×SD₁₆	—	19	1	no	—
233	C₂×D₈	—	19	1	no	—
234	C₂×D₈	—	19	1	no	—
235	C₂×D₈	—	19	1	no	—
236	C₂×D₈	—	19	1	no	—
237	C₂×D₈	—	38	4	no	—
238	C₂×D₈	C₂×D₁₉	1	1	yes	characteristic
239	C₂×D₈	C₂×D₁₉	1	1	yes	characteristic, complemented
240	C₂×M₁₆	—	19	1	no	—
241	C₂²×C₈	—	19	1	no	—
242	#127	—	19	1	no	—
243	#127	C₂×D₁₉	1	1	yes	characteristic, complemented
244	#124	—	19	1	no	—
245	#124	—	19	1	no	—
246	#121	—	38	1	no	—
247	#121	—	38	1	no	—
248	#120	—	38	1	no	—
249	#120	—	38	1	no	—
250	C₄×D₄	—	19	1	no	—
251	C₄×D₄	—	19	1	no	—
252	C₄×D₄	—	19	1	no	—
253	C₄×D₄	—	38	1	no	—
254	C₄×D₄	—	38	1	no	—
255	C₄×D₄	C₂×D₁₉	1	1	yes	characteristic, complemented
256	#117	—	19	1	no	—
257	#117	—	19	1	no	—
258	C₂×C₂²⋊C₄	—	38	1	no	—
259	C₂×C₂²⋊C₄	—	38	1	no	—
260	C₄⋊C₈	—	19	1	no	—
261	C₄⋊C₈	—	19	1	no	—
262	C₄⋊C₈	—	19	1	no	—
263	C₄⋊C₈	C₂×D₁₉	1	1	yes	characteristic, complemented
264	#103	—	19	1	no	—
265	#103	—	19	1	no	—
266	#102	—	19	1	no	—
267	#102	—	19	1	no	—
268	#102	—	19	1	no	—
269	#102	—	19	1	no	—
270	#102	C₂×D₁₉	1	1	yes	characteristic, complemented
271	#102	C₂×D₁₉	1	1	yes	characteristic, complemented
272	C₁₉	#3041	1	1	yes	characteristic, complemented, Sylow
273	C₂⁴	—	38	1	no	—
274	C₂⁴	—	38	1	no	—
275	#41	—	38	2	no	—
276	#41	—	38	2	no	—
277	C₂×Q₈	—	19	1	no	—
278	C₂×D₄	—	2	1	no	—
279	C₂×D₄	—	2	1	no	—
280	C₂×D₄	—	19	4	no	—
281	C₂×D₄	—	19	1	no	—
282	C₂×D₄	—	19	1	no	—
283	C₂×D₄	—	38	2	no	—
284	C₂×D₄	—	38	2	no	—
285	C₂×D₄	—	38	2	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	—	38	1	no	—
291	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
292	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
293	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
294	C₂²×C₄	—	2	1	no	—
295	C₂²×C₄	—	19	1	no	—
296	C₂²×C₄	—	38	1	no	—
297	C₂²×C₄	—	38	1	no	—
298	C₂²×C₄	—	38	1	no	—
299	C₂²×C₄	—	38	1	no	—
300	SD₁₆	—	38	2	no	—
301	SD₁₆	—	38	2	no	—
302	D₈	—	2	2	no	—
303	D₈	—	2	2	no	—
304	D₈	—	38	2	no	—
305	D₈	—	38	2	no	—
306	D₈	—	38	2	no	—
307	D₈	—	38	2	no	—
308	M₁₆	—	38	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	C₂²×D₁₉	1	1	yes	characteristic
318	C₂²⋊C₄	—	2	1	no	—
319	C₂²⋊C₄	—	19	1	no	—
320	C₂²⋊C₄	—	19	1	no	—
321	C₂²⋊C₄	—	38	1	no	—
322	C₂²⋊C₄	—	38	1	no	—
323	C₂²⋊C₄	—	38	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	C₄²	C₂²×D₁₉	1	1	yes	characteristic
332	C₂³	—	2	1	no	—
333	C₂³	—	2	1	no	—
334	C₂³	—	2	1	no	—
335	C₂³	—	19	1	no	—
336	C₂³	—	38	4	no	—
337	C₂³	—	38	1	no	—
338	C₂³	—	38	1	no	—
339	C₂³	—	76	2	no	—
340	C₂³	—	152	1	no	—
341	C₂³	—	152	1	no	—
342	C₂³	—	152	1	no	—
343	C₂³	—	152	1	no	—
344	Q₈	—	38	1	no	—
345	Q₈	—	38	1	no	—
346	D₄	—	2	1	no	—
347	D₄	—	2	1	no	—
348	D₄	—	2	1	no	—
349	D₄	—	2	1	no	—
350	D₄	—	2	1	no	—
351	D₄	—	8	1	no	—
352	D₄	—	8	1	no	—
353	D₄	—	19	2	no	—
354	D₄	—	38	4	no	—
355	D₄	—	38	1	no	—
356	D₄	—	38	1	no	—
357	D₄	—	38	1	no	—
358	D₄	—	76	2	no	—
359	D₄	—	76	2	no	—
360	D₄	—	152	1	no	—
361	D₄	—	152	1	no	—
362	D₄	D₄×D₁₉	1	2	yes	—
363	C₂×C₄	—	2	1	no	—
364	C₂×C₄	—	8	1	no	—
365	C₂×C₄	—	19	1	no	—
366	C₂×C₄	—	19	2	no	—
367	C₂×C₄	—	19	2	no	—
368	C₂×C₄	—	19	1	no	—
369	C₂×C₄	—	19	1	no	—
370	C₂×C₄	—	38	1	no	—
371	C₂×C₄	—	38	1	no	—
372	C₂×C₄	—	76	2	no	—
373	C₂×C₄	—	152	1	no	—
374	C₂×C₄	—	152	1	no	—
375	C₂×C₄	—	152	1	no	—
376	C₂×C₄	D₄×D₁₉	1	1	yes	characteristic
377	C₂×C₄	D₄×D₁₉	1	1	yes	characteristic
378	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
379	C₈	—	2	1	no	—
380	C₈	—	2	1	no	—
381	C₈	—	38	1	no	—
382	C₈	—	38	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	—	4	1	no	—
390	C₂²	—	4	1	no	—
391	C₂²	—	4	1	no	—
392	C₂²	—	19	2	no	—
393	C₂²	—	38	1	no	—
394	C₂²	—	38	1	no	—
395	C₂²	—	38	2	no	—
396	C₂²	—	76	1	no	—
397	C₂²	—	76	1	no	—
398	C₂²	—	76	1	no	—
399	C₂²	—	76	1	no	—
400	C₂²	—	76	1	no	—
401	C₂²	—	152	4	no	—
402	C₂²	—	152	4	no	—
403	C₂²	C₂×D₄×D₁₉	1	1	yes	characteristic
404	C₄	—	2	1	no	—
405	C₄	—	2	1	no	—
406	C₄	—	4	1	no	—
407	C₄	—	19	2	no	—
408	C₄	—	38	1	no	—
409	C₄	—	38	1	no	—
410	C₄	—	76	1	no	—
411	C₄	—	76	1	no	—
412	C₄	C₂×D₄×D₁₉	1	1	yes	characteristic
413	C₄	#41×D₁₉	1	1	yes	characteristic
414	C₂	—	4	2	no	—
415	C₂	—	8	1	no	—
416	C₂	—	8	1	no	—
417	C₂	—	38	2	no	—
418	C₂	—	76	2	no	—
419	C₂	—	152	1	no	—
420	C₂	#121×D₁₉	1	1	yes	characteristic
421	C₂	#11927345	1	1	yes	characteristic
422	C₂	#11927348	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	#3041
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×D₈×D₁₉	C₂	semidirect
3. #11927107	C₂	semidirect
4. #11927016	C₂	semidirect
5. #11926760	C₂	semidirect
6. #11926759	C₂	semidirect
7. #11926758	C₂	semidirect
8. #11926757	C₂	semidirect
9. #11926738	C₂	semidirect
10. #11926737	C₂	semidirect
11. #11926736	C₂	semidirect
12. #11926569	C₂	semidirect
13. #11926547	C₂	semidirect
14. #11926537	C₂	semidirect
15. C₁₉×#459	C₂	semidirect
20. C₂×D₈×C₁₉	C₂²	semidirect
21. C₁₉×#127	C₂²	semidirect
22. C₄×D₄×C₁₉	C₂²	semidirect
23. #10597386	C₂²	semidirect
28. #10597382	C₂²	semidirect
29. D₄×Dic₁₉	C₂²	semidirect
30. C₂×#64526	C₂²	semidirect
33. C₂×#64525	C₂²	semidirect
39. C₂×#64516	C₂²	semidirect
42. #10597339	C₂²	semidirect
46. #10597321	C₂²	semidirect
47. C₄×D₇₆	C₂²	semidirect
49. C₁₉×C₄⋊C₈	C₂²	semidirect
50. C₁₉×#102	C₂²	semidirect
51. C₁₉×#102	C₂²	semidirect
52. #10597289	C₂²	semidirect
53. #10597289	C₂²	semidirect
54. #10597278	C₂²	semidirect
55. #10597273	C₂²	semidirect
56. Dic₁₉⋊C₈	C₂²	semidirect
57. Dic₁₉⋊C₈	C₂²	semidirect
58. #10597267	C₂²	semidirect
59. #10597266	C₂²	semidirect
60. C₄⋊(C₁₉⋊C₈)	C₂²	semidirect
81. D₄×D₁₉	D₄	semidirect
214. #459	D₁₉	semidirect
239. C₂×D₈	C₂×D₁₉	semidirect
243. #127	C₂×D₁₉	semidirect
255. C₄×D₄	C₂×D₁₉	semidirect
263. C₄⋊C₈	C₂×D₁₉	semidirect
270. #102	C₂×D₁₉	semidirect
271. #102	C₂×D₁₉	semidirect
272. C₁₉	#3041	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×D₈×D₁₉	2
#11927107	2
#11927016	2
#11926760	2
#11926759	2
#11926758	2
#11926757	2
#11926738	2
#11926737	2
#11926736	2
#11926569	2
#11926547	2
#11926537	2
C₁₉×#459	2
#3041	19