Subgroups — #14574119

Order 2432.

596 conjugacy classes of subgroups.

The subgroup lattice has 402 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#10597360	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#10597357	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#10597362	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×D₈×D₁₉	C₂	1	1	yes	maximal, characteristic, complemented
5	#11927112	C₂	1	1	yes	maximal, characteristic, complemented
6	#11927107	C₂	1	1	yes	maximal, characteristic, complemented
7	#11926933	C₂	1	1	yes	maximal, characteristic, complemented
8	#11926932	C₂	1	1	yes	maximal, characteristic, complemented
9	#11926930	C₂	1	1	yes	maximal, characteristic, complemented
10	#11926926	C₂	1	1	yes	maximal, characteristic, complemented
11	#11926925	C₂	1	1	yes	maximal, characteristic, complemented
12	#11926920	C₂	1	1	yes	maximal, characteristic, complemented
13	#11926919	C₂	1	1	yes	maximal, characteristic, complemented
14	#11926501	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₉×#496	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#64545	C₂²	1	1	yes	characteristic
17	C₂×#64543	C₂²	1	1	yes	characteristic
18	C₂×D₄×D₁₉	C₂²	1	1	yes	characteristic
19	C₂×D₄×D₁₉	C₂²	1	1	yes	characteristic
20	C₂×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
21	C₂×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
22	C₂×D₈×C₁₉	C₂²	1	1	yes	characteristic
23	C₂×D₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
24	C₁₉×#127	C₂²	1	1	yes	characteristic, complemented
25	C₁₉×#124	C₂²	1	1	yes	characteristic, complemented
26	#10597393	C₂²	1	1	yes	characteristic, complemented
27	C₂×#64528	C₂²	1	1	yes	characteristic, complemented
28	C₂×#64527	C₂²	1	1	yes	characteristic, complemented
29	#10597386	C₂²	1	1	yes	characteristic, complemented
30	#10597386	C₂²	1	1	yes	characteristic, complemented
31	#10597385	—	2	2	no	—
32	#10597383	—	2	2	no	—
33	#10597382	C₂²	1	1	yes	characteristic, complemented
34	C₂×#64526	C₂²	1	1	yes	characteristic, complemented
35	C₂×#64525	C₂²	1	1	yes	characteristic
36	C₂×#64525	C₂²	1	1	yes	characteristic
37	C₂×#64525	C₂²	1	1	yes	characteristic, complemented
38	C₂×#64525	C₂²	1	1	yes	characteristic, complemented
39	C₂×#64525	C₂²	1	1	yes	characteristic, complemented
40	#10597362	—	2	4	no	—
41	#10597360	—	2	4	no	—
42	#10597357	—	2	4	no	—
43	D₈×D₁₉	—	2	4	no	—
44	C₂×D₁₅₂	C₂²	1	1	yes	characteristic
45	C₂×D₁₅₂	C₂²	1	1	yes	characteristic, complemented
46	C₂×#64516	C₂²	1	1	yes	characteristic, complemented
47	C₂×#64516	C₂²	1	1	yes	characteristic, complemented
48	C₂×#64515	C₂²	1	1	yes	characteristic
49	C₂×C₈×D₁₉	C₂²	1	1	yes	characteristic
50	#10597330	—	2	2	no	—
51	#10597328	—	2	2	no	—
52	#10597321	C₂²	1	1	yes	characteristic, complemented
53	#10597320	C₂²	1	1	yes	characteristic, complemented
54	#10597318	C₂²	1	1	yes	characteristic
55	C₁₉×#97	C₂²	1	1	yes	characteristic, complemented
56	#10597272	C₂²	1	1	yes	characteristic, complemented
57	C₈×Dic₁₉	C₂²	1	1	yes	characteristic, complemented
58	C₄×C₁₉⋊C₈	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	—	2	2	no	—
63	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
64	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
65	C₂×D₄×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	2	no	—
70	C₂×C₂²⋊D₁₉	—	2	2	no	—
71	C₂²×Dic₁₉	—	2	1	no	—
72	#64545	—	2	2	no	—
73	#64545	—	2	2	no	—
74	#64543	—	2	2	no	—
75	#64543	—	2	2	no	—
76	D₄×D₁₉	—	2	2	no	—
77	D₄×D₁₉	—	2	2	no	—
78	D₄×D₁₉	—	2	2	no	—
79	D₄×D₁₉	—	2	2	no	—
80	C₂×D₇₆	—	2	1	no	—
81	C₂×D₇₆	—	2	2	no	—
82	C₂×D₇₆	C₂³	1	1	yes	characteristic
83	C₂×D₇₆	C₂³	1	1	yes	characteristic
84	C₂×D₇₆	C₂³	1	1	yes	characteristic
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	SD₁₆×C₁₉	—	2	2	no	—
89	SD₁₆×C₁₉	—	2	2	no	—
90	D₈×C₁₉	—	2	2	no	—
91	D₈×C₁₉	—	2	2	no	—
92	C₂×C₈×C₁₉	C₂³	1	1	yes	characteristic
93	C₂×C₈×C₁₉	C₂³	1	1	yes	characteristic
94	C₂²⋊C₄×C₁₉	—	2	2	no	—
95	C₄²×C₁₉	C₂³	1	1	yes	characteristic
96	C₂²⋊Dic₁₉	—	2	2	no	—
97	#64528	—	2	2	no	—
98	#64527	—	2	2	no	—
99	#64526	—	2	2	no	—
100	#64525	—	2	2	no	—
101	#64525	—	2	2	no	—
102	#64525	—	2	2	no	—
103	#64525	—	2	2	no	—
104	#64525	—	2	2	no	—
105	(C₂×D₁₉)⋊C₄	—	2	2	no	—
106	(C₂×D₁₉)⋊C₄	—	2	2	no	—
107	(C₂×D₁₉)⋊C₄	D₄	1	2	yes	—
108	Dic₁₉⋊C₄	D₄	1	2	yes	—
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	D₁₅₂	—	2	2	no	—
113	D₁₅₂	—	2	2	no	—
114	#64516	—	2	2	no	—
115	#64516	—	2	2	no	—
116	#64515	D₄	1	4	yes	complemented
117	C₈×D₁₉	D₄	1	4	yes	complemented
118	C₂³×C₁₉	—	2	1	no	—
119	C₂³×C₁₉	—	2	1	no	—
120	C₂³×C₁₉	—	2	1	no	—
121	C₂²×D₁₉	—	2	1	no	—
122	C₂²×D₁₉	—	2	1	no	—
123	C₂²×D₁₉	—	2	1	no	—
124	C₂²×D₁₉	—	4	2	no	—
125	C₂²×D₁₉	—	4	2	no	—
126	C₂²×D₁₉	—	8	2	no	—
127	C₂²×D₁₉	—	8	2	no	—
128	C₂²×D₁₉	C₂×D₄	1	1	yes	characteristic
129	Q₈×C₁₉	—	2	1	no	—
130	Q₈×C₁₉	—	2	1	no	—
131	D₄×C₁₉	—	2	1	no	—
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	2	no	—
138	C₂×C₄×C₁₉	—	2	1	no	—
139	C₂×C₄×C₁₉	C₂×D₄	1	2	yes	—
140	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
141	C₂²⋊D₁₉	—	4	2	no	—
142	C₂²⋊D₁₉	—	4	2	no	—
143	C₂²⋊D₁₉	—	4	2	no	—
144	C₂²⋊D₁₉	—	8	2	no	—
145	C₂²⋊D₁₉	—	8	2	no	—
146	C₂×Dic₁₉	—	2	1	no	—
147	C₂×Dic₁₉	—	4	2	no	—
148	C₂×Dic₁₉	C₂×D₄	1	2	yes	—
149	C₂×Dic₁₉	C₂×D₄	1	1	yes	characteristic
150	D₇₆	—	2	1	no	—
151	D₇₆	—	2	1	no	—
152	D₇₆	—	2	1	no	—
153	D₇₆	—	2	1	no	—
154	D₇₆	—	2	1	no	—
155	D₇₆	—	2	1	no	—
156	D₇₆	—	4	2	no	—
157	D₇₆	—	8	2	no	—
158	C₄×D₁₉	—	4	2	no	—
159	C₄×D₁₉	C₂×D₄	1	2	yes	—
160	C₄×D₁₉	C₂×D₄	1	2	yes	—
161	Dic₃₈	—	2	1	no	—
162	Dic₃₈	—	2	1	no	—
163	C₈×C₁₉	C₂×D₄	1	2	yes	—
164	C₈×C₁₉	C₂×D₄	1	2	yes	—
165	C₁₉⋊C₈	C₂×D₄	1	2	yes	—
166	C₁₉⋊C₈	C₂×D₄	1	2	yes	—
167	#3155	—	19	1	no	maximal, Sylow
168	C₂²×C₁₉	—	4	1	no	—
169	C₂²×C₁₉	—	4	1	no	—
170	C₂²×C₁₉	—	4	1	no	—
171	C₂²×C₁₉	—	4	2	no	—
172	C₂²×C₁₉	—	4	2	no	—
173	C₂²×C₁₉	—	4	2	no	—
174	C₂²×C₁₉	C₂²×D₄	1	1	yes	characteristic
175	C₂×D₁₉	—	2	2	no	—
176	C₂×D₁₉	—	4	1	no	—
177	C₂×D₁₉	—	4	1	no	—
178	C₂×D₁₉	—	4	1	no	—
179	C₂×D₁₉	—	4	2	no	—
180	C₂×D₁₉	—	4	2	no	—
181	C₂×D₁₉	—	4	2	no	—
182	C₂×D₁₉	—	8	4	no	—
183	C₂×D₁₉	—	8	4	no	—
184	C₂×D₁₉	#127	1	2	yes	—
185	C₄×C₁₉	—	2	2	no	—
186	C₄×C₁₉	—	4	1	no	—
187	C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
188	C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
189	Dic₁₉	—	2	2	no	—
190	Dic₁₉	—	4	1	no	—
191	Dic₁₉	#127	1	2	yes	—
192	C₂×AGL(1,ℤ/8)	—	19	1	no	—
193	C₂×AGL(1,ℤ/8)	—	19	1	no	—
194	C₂×#135	—	19	1	no	—
195	C₂²×D₈	—	19	1	no	—
196	#535	—	19	1	no	—
197	#535	—	19	1	no	—
198	#496	—	19	1	no	—
199	#496	—	19	1	no	—
200	#496	—	19	1	no	—
201	#496	D₁₉	1	1	yes	characteristic, complemented
202	#495	—	19	1	no	—
203	#495	—	19	1	no	—
204	#493	—	19	1	no	—
205	#493	—	19	1	no	—
206	#405	—	19	1	no	—
207	C₂×C₁₉	—	8	1	no	—
208	C₂×C₁₉	—	8	1	no	—
209	C₂×C₁₉	—	8	1	no	—
210	C₂×C₁₉	C₂×#127	1	1	yes	characteristic
211	C₂×C₁₉	#576	1	2	yes	—
212	D₁₉	—	2	2	no	—
213	D₁₉	—	8	1	no	—
214	D₁₉	—	8	1	no	—
215	D₁₉	—	8	1	no	—
216	C₂×#41	—	19	1	no	—
217	C₂×#41	—	19	1	no	—
218	C₂²×D₄	—	19	1	no	—
219	C₂²×D₄	—	19	1	no	—
220	AGL(1,ℤ/8)	—	38	4	no	—
221	AGL(1,ℤ/8)	—	38	4	no	—
222	#135	—	38	4	no	—
223	C₂×Q₁₆	—	19	1	no	—
224	C₂×SD₁₆	—	19	1	no	—
225	C₂×SD₁₆	—	19	1	no	—
226	C₂×SD₁₆	—	19	1	no	—
227	C₂×SD₁₆	—	19	1	no	—
228	C₂×SD₁₆	C₂×D₁₉	1	1	yes	characteristic, complemented
229	C₂×SD₁₆	C₂×D₁₉	1	1	yes	characteristic, complemented
230	C₂×D₈	—	19	1	no	—
231	C₂×D₈	—	19	1	no	—
232	C₂×D₈	—	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	—	19	1	no	—
244	#127	—	19	1	no	—
245	#127	C₂×D₁₉	1	1	yes	characteristic, complemented
246	#124	—	19	1	no	—
247	#124	—	19	1	no	—
248	#124	—	19	1	no	—
249	#124	C₂×D₁₉	1	1	yes	characteristic, complemented
250	#121	—	38	2	no	—
251	#121	—	38	2	no	—
252	#120	—	38	2	no	—
253	#120	—	38	2	no	—
254	#117	—	19	1	no	—
255	#97	—	19	1	no	—
256	#97	C₂×D₁₉	1	1	yes	characteristic, complemented
257	C₄×C₈	—	19	1	no	—
258	C₄×C₈	—	19	1	no	—
259	C₁₉	#3155	1	1	yes	characteristic, complemented, Sylow
260	C₂⁴	—	38	1	no	—
261	C₂⁴	—	38	1	no	—
262	#41	—	38	2	no	—
263	#41	—	38	2	no	—
264	#41	—	38	2	no	—
265	#41	—	38	2	no	—
266	C₂×Q₈	—	19	1	no	—
267	C₂×Q₈	C₂²×D₁₉	1	1	yes	characteristic
268	C₂×D₄	—	2	2	no	—
269	C₂×D₄	—	19	1	no	—
270	C₂×D₄	—	19	1	no	—
271	C₂×D₄	—	19	1	no	—
272	C₂×D₄	—	38	1	no	—
273	C₂×D₄	—	38	2	no	—
274	C₂×D₄	—	38	2	no	—
275	C₂×D₄	—	38	2	no	—
276	C₂×D₄	—	38	2	no	—
277	C₂×D₄	—	38	1	no	—
278	C₂×D₄	—	38	1	no	—
279	C₂×D₄	—	38	2	no	—
280	C₂×D₄	—	38	2	no	—
281	C₂×D₄	—	38	1	no	—
282	C₂×D₄	—	38	2	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	—	19	1	no	—
287	C₂²×C₄	—	38	1	no	—
288	C₂²×C₄	—	38	1	no	—
289	Q₁₆	—	38	2	no	—
290	SD₁₆	—	2	2	no	—
291	SD₁₆	—	2	2	no	—
292	SD₁₆	—	38	2	no	—
293	SD₁₆	—	38	2	no	—
294	SD₁₆	—	38	2	no	—
295	SD₁₆	—	38	2	no	—
296	D₈	—	2	2	no	—
297	D₈	—	2	2	no	—
298	D₈	—	38	2	no	—
299	D₈	—	38	2	no	—
300	D₈	—	38	2	no	—
301	D₈	—	38	2	no	—
302	D₈	—	38	2	no	—
303	D₈	—	38	2	no	—
304	D₈	—	38	2	no	—
305	M₁₆	—	19	4	no	—
306	C₂×C₈	—	19	1	no	—
307	C₂×C₈	—	19	1	no	—
308	C₂×C₈	—	19	4	no	—
309	C₂×C₈	C₂²×D₁₉	1	1	yes	characteristic
310	C₂×C₈	C₂²×D₁₉	1	1	yes	characteristic
311	C₄⋊C₄	—	19	2	no	—
312	C₂²⋊C₄	—	2	2	no	—
313	C₂²⋊C₄	—	19	2	no	—
314	C₂²⋊C₄	—	38	2	no	—
315	C₂²⋊C₄	—	38	2	no	—
316	C₂²⋊C₄	—	38	2	no	—
317	C₄²	—	19	1	no	—
318	C₄²	C₂²×D₁₉	1	1	yes	characteristic
319	C₂³	—	2	1	no	—
320	C₂³	—	2	1	no	—
321	C₂³	—	2	1	no	—
322	C₂³	—	19	1	no	—
323	C₂³	—	38	1	no	—
324	C₂³	—	38	1	no	—
325	C₂³	—	38	1	no	—
326	C₂³	—	76	2	no	—
327	C₂³	—	76	2	no	—
328	C₂³	—	152	2	no	—
329	C₂³	—	152	2	no	—
330	Q₈	—	2	1	no	—
331	Q₈	—	2	1	no	—
332	Q₈	—	38	1	no	—
333	Q₈	—	38	1	no	—
334	D₄	—	2	1	no	—
335	D₄	—	2	1	no	—
336	D₄	—	2	1	no	—
337	D₄	—	2	1	no	—
338	D₄	—	2	1	no	—
339	D₄	—	2	1	no	—
340	D₄	—	8	2	no	—
341	D₄	—	38	1	no	—
342	D₄	—	38	1	no	—
343	D₄	—	38	1	no	—
344	D₄	—	38	1	no	—
345	D₄	—	38	1	no	—
346	D₄	—	38	1	no	—
347	D₄	—	76	2	no	—
348	D₄	—	76	2	no	—
349	D₄	—	76	2	no	—
350	D₄	—	76	2	no	—
351	D₄	—	152	2	no	—
352	D₄	—	152	2	no	—
353	D₄	—	152	2	no	—
354	C₂×C₄	—	2	1	no	—
355	C₂×C₄	—	19	1	no	—
356	C₂×C₄	—	19	2	no	—
357	C₂×C₄	—	19	2	no	—
358	C₂×C₄	—	19	2	no	—
359	C₂×C₄	—	38	1	no	—
360	C₂×C₄	—	76	2	no	—
361	C₂×C₄	—	76	2	no	—
362	C₂×C₄	D₄×D₁₉	1	2	yes	—
363	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
364	C₈	—	19	2	no	—
365	C₈	—	19	2	no	—
366	C₈	D₄×D₁₉	1	2	yes	—
367	C₈	D₄×D₁₉	1	2	yes	—
368	C₂²	—	4	1	no	—
369	C₂²	—	4	1	no	—
370	C₂²	—	4	1	no	—
371	C₂²	—	4	2	no	—
372	C₂²	—	4	2	no	—
373	C₂²	—	4	2	no	—
374	C₂²	—	19	2	no	—
375	C₂²	—	38	2	no	—
376	C₂²	—	76	1	no	—
377	C₂²	—	76	1	no	—
378	C₂²	—	76	1	no	—
379	C₂²	—	76	2	no	—
380	C₂²	—	76	2	no	—
381	C₂²	—	76	2	no	—
382	C₂²	—	152	4	no	—
383	C₂²	—	152	4	no	—
384	C₂²	C₂×D₄×D₁₉	1	1	yes	characteristic
385	C₄	—	2	2	no	—
386	C₄	—	4	1	no	—
387	C₄	—	19	2	no	—
388	C₄	—	38	2	no	—
389	C₄	—	76	1	no	—
390	C₄	C₂×D₄×D₁₉	1	1	yes	characteristic
391	C₄	C₂×D₄×D₁₉	1	1	yes	characteristic
392	C₂	—	8	1	no	—
393	C₂	—	8	1	no	—
394	C₂	—	8	1	no	—
395	C₂	—	38	2	no	—
396	C₂	—	152	1	no	—
397	C₂	—	152	1	no	—
398	C₂	—	152	1	no	—
399	C₂	#127×D₁₉	1	1	yes	characteristic
400	C₂	#11927348	1	2	yes	—

	subgroup	G/H
center	C₂²	C₂×D₄×D₁₉
commutator, cosocle	C₂×C₄×C₁₉	C₂⁴
Frattini	C₂×C₄	C₂³×D₁₉
Fitting	C₁₉×#496	C₂
socle	C₂²×C₁₉	C₂²×D₄
hypercenter	#496	D₁₉
hypocenter	C₁₉	#3155
LCS	G ▷ C₂×C₄×C₁₉ ▷ C₂×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂² ◁ C₄² ◁ #496

Complements

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

N	H ≅ G/N	type
1. C₂×#10597360	C₂	semidirect
2. C₂×#10597357	C₂	semidirect
3. C₂×#10597362	C₂	semidirect
4. C₂×D₈×D₁₉	C₂	semidirect
5. #11927112	C₂	semidirect
6. #11927107	C₂	semidirect
7. #11926933	C₂	semidirect
8. #11926932	C₂	semidirect
9. #11926930	C₂	semidirect
10. #11926926	C₂	semidirect
11. #11926925	C₂	semidirect
12. #11926920	C₂	semidirect
13. #11926919	C₂	semidirect
14. #11926501	C₂	semidirect
15. C₁₉×#496	C₂	semidirect
20. C₂×SD₁₆×C₁₉	C₂²	semidirect
21. C₂×SD₁₆×C₁₉	C₂²	semidirect
23. C₂×D₈×C₁₉	C₂²	semidirect
24. C₁₉×#127	C₂²	semidirect
25. C₁₉×#124	C₂²	semidirect
26. #10597393	C₂²	semidirect
27. C₂×#64528	C₂²	semidirect
28. C₂×#64527	C₂²	semidirect
29. #10597386	C₂²	semidirect
30. #10597386	C₂²	semidirect
33. #10597382	C₂²	semidirect
34. C₂×#64526	C₂²	semidirect
37. C₂×#64525	C₂²	semidirect
38. C₂×#64525	C₂²	semidirect
39. C₂×#64525	C₂²	semidirect
45. C₂×D₁₅₂	C₂²	semidirect
46. C₂×#64516	C₂²	semidirect
47. C₂×#64516	C₂²	semidirect
52. #10597321	C₂²	semidirect
53. #10597320	C₂²	semidirect
55. C₁₉×#97	C₂²	semidirect
56. #10597272	C₂²	semidirect
57. C₈×Dic₁₉	C₂²	semidirect
58. C₄×C₁₉⋊C₈	C₂²	semidirect
116. #64515	D₄	semidirect
117. C₈×D₁₉	D₄	semidirect
201. #496	D₁₉	semidirect
228. C₂×SD₁₆	C₂×D₁₉	semidirect
229. C₂×SD₁₆	C₂×D₁₉	semidirect
239. C₂×D₈	C₂×D₁₉	semidirect
245. #127	C₂×D₁₉	semidirect
249. #124	C₂×D₁₉	semidirect
256. #97	C₂×D₁₉	semidirect
259. C₁₉	#3155	semidirect

Maximal subgroups

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

subgroup	index
C₂×#10597360	2
C₂×#10597357	2
C₂×#10597362	2
C₂×D₈×D₁₉	2
#11927112	2
#11927107	2
#11926933	2
#11926932	2
#11926930	2
#11926926	2
#11926925	2
#11926920	2
#11926919	2
#11926501	2
C₁₉×#496	2
#3155	19