Subgroups — #18078793

Order 4864.

686 conjugacy classes of subgroups.

The subgroup lattice has 408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14573639	C₂	1	1	yes	maximal, characteristic
2	C₄²×D₇₆	C₂	1	1	yes	maximal, characteristic
3	#14562134	C₂	1	1	yes	maximal, characteristic, complemented
4	#14562059	C₂	1	1	yes	maximal, characteristic
5	#14561536	C₂	1	1	yes	maximal, characteristic, complemented
6	#14561468	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#1994	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₄×D₇₆	—	2	1	no	—
9	C₂×C₄×D₇₆	C₂²	1	1	yes	characteristic
10	C₂×C₄²×D₁₉	—	2	1	no	—
11	#11926872	—	2	1	no	—
12	#11926831	C₄	1	2	yes	complemented
13	#11926746	C₄	1	2	yes	complemented
14	#11926694	—	2	1	no	—
15	C₄×#64527	—	2	2	no	—
16	#11926597	C₂²	1	1	yes	characteristic
17	#11926597	C₂²	1	1	yes	characteristic
18	C₄×C₄⋊Dic₁₉	—	2	1	no	—
19	C₄×C₄⋊Dic₁₉	C₂²	1	1	yes	characteristic
20	C₄×(C₂×D₁₉)⋊C₄	—	2	2	no	—
21	C₄×(C₂×D₁₉)⋊C₄	—	2	1	no	—
22	#11926281	—	2	2	no	—
23	#11926271	—	2	2	no	—
24	C₁₉×#533	C₂²	1	1	yes	characteristic
25	C₁₉×#423	C₂²	1	1	yes	characteristic
26	C₄³×C₁₉	C₂²	1	1	yes	characteristic
27	C₁₉×#339	—	2	1	no	—
28	C₁₉×#339	—	2	1	no	—
29	C₂²×D₇₆	D₄	1	1	yes	characteristic
30	C₂²×C₄×D₁₉	—	2	2	no	—
31	C₂²×C₄×D₁₉	—	2	1	no	—
32	C₂×M₁₆×C₁₉	—	2	1	no	—
33	C₁₉×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic, complemented
34	C₁₉×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic, complemented
35	C₁₉×#125	—	2	1	no	—
36	C₁₉×C₂²⋊Q₈	—	2	1	no	—
37	C₁₉×C₂²⋊Q₈	—	2	1	no	—
38	C₄×Q₈×C₁₉	—	2	1	no	—
39	C₄×Q₈×C₁₉	—	2	1	no	—
40	C₁₉×#117	—	2	1	no	—
41	C₂×C₄²×C₁₉	—	2	1	no	—
42	C₂×C₄²×C₁₉	—	2	1	no	—
43	C₂×C₄²×C₁₉	D₄	1	1	yes	characteristic
44	C₂×C₄²×C₁₉	D₄	1	1	yes	characteristic
45	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
46	C₂×#64527	—	2	2	no	—
47	C₂×(C₂×D₁₉)⋊C₄	—	2	2	no	—
48	C₂×(C₂×D₁₉)⋊C₄	—	2	1	no	—
49	C₂×C₄⋊Dic₁₉	—	2	1	no	—
50	C₂×C₄⋊Dic₁₉	D₄	1	1	yes	characteristic
51	C₂×C₄×Dic₁₉	—	2	2	no	—
52	C₂×C₄×Dic₁₉	—	2	1	no	—
53	C₄×D₇₆	—	2	8	no	—
54	C₄×D₇₆	—	2	1	no	—
55	C₄×D₇₆	—	2	1	no	—
56	C₄×D₇₆	C₂×C₄	1	2	yes	—
57	C₄×D₇₆	D₄	1	2	yes	—
58	C₄²×D₁₉	—	4	2	no	—
59	C₄²×D₁₉	—	4	2	no	—
60	C₁₉×C₄⋊C₈	—	2	1	no	—
61	C₁₉×C₄⋊C₈	—	2	1	no	—
62	#10597292	—	2	2	no	—
63	C₁₉⋊#95	—	2	2	no	—
64	C₁₉⋊#95	D₄	1	2	yes	—
65	C₂²⋊(C₁₉⋊C₈)	—	2	1	no	—
66	C₂²⋊(C₁₉⋊C₈)	—	2	1	no	—
67	#10597266	—	2	2	no	—
68	#10597265	—	2	2	no	—
69	C₄⋊(C₁₉⋊C₈)	—	2	1	no	—
70	C₄⋊(C₁₉⋊C₈)	C₂×C₄	1	2	yes	complemented
71	C₄×C₁₉⋊C₈	—	2	1	no	—
72	C₄×C₁₉⋊C₈	—	2	1	no	—
73	C₂³×D₁₉	—	2	1	no	—
74	C₂×Q₈×C₁₉	—	2	1	no	—
75	C₂×Q₈×C₁₉	—	2	1	no	—
76	C₂²×C₄×C₁₉	—	2	1	no	—
77	C₂²×C₄×C₁₉	—	2	1	no	—
78	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
79	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
80	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
81	C₂²×Dic₁₉	—	2	1	no	—
82	C₂²×Dic₁₉	—	2	2	no	—
83	C₂×D₇₆	—	2	1	no	—
84	C₂×D₇₆	—	2	4	no	—
85	C₂×D₇₆	C₂²⋊C₄	1	2	yes	—
86	C₂×C₄×D₁₉	—	2	8	no	—
87	C₂×C₄×D₁₉	—	2	2	no	—
88	C₂×C₄×D₁₉	—	2	2	no	—
89	C₂×C₄×D₁₉	—	4	4	no	—
90	C₂×C₄×D₁₉	—	4	4	no	—
91	C₂×C₄×D₁₉	—	4	1	no	—
92	C₂×C₄×D₁₉	—	4	1	no	—
93	C₂×C₄×D₁₉	—	4	1	no	—
94	C₂×C₄×D₁₉	—	4	1	no	—
95	M₁₆×C₁₉	—	4	1	no	—
96	M₁₆×C₁₉	—	4	1	no	—
97	C₂×C₈×C₁₉	—	4	1	no	—
98	C₄⋊C₄×C₁₉	—	2	1	no	—
99	C₄⋊C₄×C₁₉	—	2	1	no	—
100	C₄⋊C₄×C₁₉	—	2	1	no	—
101	C₄⋊C₄×C₁₉	—	2	1	no	—
102	C₄⋊C₄×C₁₉	—	4	1	no	—
103	C₄⋊C₄×C₁₉	—	4	1	no	—
104	C₂²⋊C₄×C₁₉	—	4	1	no	—
105	C₄²×C₁₉	—	2	4	no	—
106	C₄²×C₁₉	—	2	1	no	—
107	C₄²×C₁₉	—	2	1	no	—
108	C₄²×C₁₉	—	2	1	no	—
109	C₄²×C₁₉	—	4	2	no	—
110	C₄²×C₁₉	—	4	1	no	—
111	C₄²×C₁₉	SD₁₆	1	2	yes	complemented
112	C₄²×C₁₉	C₂²×C₄	1	1	yes	characteristic
113	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
114	C₄²×C₁₉	#41	1	1	yes	characteristic
115	C₄²×C₁₉	#41	1	1	yes	characteristic
116	#64527	—	4	4	no	—
117	(C₂×D₁₉)⋊C₄	—	2	8	no	—
118	(C₂×D₁₉)⋊C₄	—	2	2	no	—
119	(C₂×D₁₉)⋊C₄	—	2	2	no	—
120	C₄⋊Dic₁₉	—	2	4	no	—
121	C₄⋊Dic₁₉	—	2	1	no	—
122	C₄⋊Dic₁₉	C₂²⋊C₄	1	2	yes	—
123	C₄×Dic₁₉	—	4	4	no	—
124	C₄×Dic₁₉	—	4	1	no	—
125	C₄×Dic₁₉	—	4	1	no	—
126	C₂×C₁₉⋊C₈	—	2	2	no	—
127	C₂×C₁₉⋊C₈	—	4	1	no	—
128	#9231	—	19	1	no	maximal, Sylow
129	C₂³×C₁₉	#120	1	1	yes	characteristic
130	C₂²×D₁₉	—	2	4	no	—
131	C₂²×D₁₉	—	2	2	no	—
132	C₂²×D₁₉	—	4	2	no	—
133	C₂²×D₁₉	—	4	1	no	—
134	C₂²×D₁₉	—	4	1	no	—
135	Q₈×C₁₉	—	4	2	no	—
136	Q₈×C₁₉	—	8	1	no	—
137	C₂×C₄×C₁₉	—	2	2	no	—
138	C₂×C₄×C₁₉	—	2	2	no	—
139	C₂×C₄×C₁₉	—	2	2	no	—
140	C₂×C₄×C₁₉	—	2	2	no	—
141	C₂×C₄×C₁₉	—	2	2	no	—
142	C₂×C₄×C₁₉	—	4	1	no	—
143	C₂×C₄×C₁₉	—	4	1	no	—
144	C₂×C₄×C₁₉	—	4	1	no	—
145	C₂×C₄×C₁₉	—	4	1	no	—
146	C₂×C₄×C₁₉	—	4	1	no	—
147	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
148	C₂×C₄×C₁₉	C₄×D₄	1	1	yes	characteristic
149	C₂×C₄×C₁₉	C₄×D₄	1	1	yes	characteristic
150	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
151	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
152	C₂×C₄×C₁₉	#123	1	1	yes	characteristic
153	C₂×C₄×C₁₉	C₂×SD₁₆	1	1	yes	characteristic
154	C₂×C₄×C₁₉	#135	1	1	yes	characteristic
155	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
156	C₂×C₄×C₁₉	#137	1	1	yes	characteristic
157	C₂×Dic₁₉	—	2	4	no	—
158	C₂×Dic₁₉	—	2	2	no	—
159	C₂×Dic₁₉	—	4	2	no	—
160	C₂×Dic₁₉	—	4	2	no	—
161	C₂×Dic₁₉	—	4	1	no	—
162	C₂×Dic₁₉	—	4	1	no	—
163	D₇₆	—	2	4	no	—
164	D₇₆	—	2	2	no	—
165	D₇₆	#104	1	4	yes	—
166	C₄×D₁₉	—	4	16	no	—
167	C₄×D₁₉	—	4	2	no	—
168	C₄×D₁₉	—	4	2	no	—
169	C₄×D₁₉	—	4	2	no	—
170	C₄×D₁₉	—	4	2	no	—
171	C₈×C₁₉	—	8	1	no	—
172	C₁₉⋊C₈	—	4	2	no	—
173	C₁₉⋊C₈	—	8	1	no	—
174	#3101	—	19	1	no	—
175	C₄²×D₄	—	19	1	no	—
176	#1994	D₁₉	1	1	yes	characteristic, complemented
177	#1503	—	19	1	no	—
178	#1486	—	19	1	no	—
179	#1303	—	19	1	no	—
180	#1276	—	19	1	no	—
181	C₂²×C₁₉	—	2	1	no	—
182	C₂²×C₁₉	—	2	1	no	—
183	C₂²×C₁₉	#386	1	1	yes	characteristic
184	C₂²×C₁₉	#450	1	1	yes	characteristic
185	C₂²×C₁₉	#452	1	1	yes	characteristic
186	C₂×D₁₉	—	2	4	no	—
187	C₂×D₁₉	—	4	4	no	—
188	C₂×D₁₉	—	4	4	no	—
189	C₂×D₁₉	—	4	2	no	—
190	C₂×D₁₉	—	4	2	no	—
191	C₄×C₁₉	—	2	4	no	—
192	C₄×C₁₉	—	2	1	no	—
193	C₄×C₁₉	—	2	1	no	—
194	C₄×C₁₉	—	2	1	no	—
195	C₄×C₁₉	—	4	2	no	—
196	C₄×C₁₉	—	8	1	no	—
197	C₄×C₁₉	—	8	1	no	—
198	C₄×C₁₉	C₂×#104	1	2	yes	—
199	C₄×C₁₉	C₄×SD₁₆	1	1	yes	characteristic
200	C₄×C₁₉	#440	1	1	yes	characteristic
201	C₄×C₁₉	#461	1	1	yes	characteristic
202	C₄×C₁₉	#463	1	1	yes	characteristic
203	Dic₁₉	—	4	4	no	—
204	Dic₁₉	—	4	2	no	—
205	#533	C₂×D₁₉	1	1	yes	characteristic
206	C₂×C₄×D₄	—	19	1	no	—
207	C₂×C₄×D₄	—	38	1	no	—
208	C₂²×C₄²	—	38	1	no	—
209	#483	—	38	1	no	—
210	#476	—	19	2	no	—
211	#461	—	19	2	no	—
212	#450	—	38	1	no	—
213	C₄×SD₁₆	—	38	2	no	—
214	#431	—	19	1	no	—
215	#431	—	19	1	no	—
216	#423	C₂×D₁₉	1	1	yes	characteristic
217	C₄×C₄⋊C₄	—	19	1	no	—
218	C₄×C₄⋊C₄	—	38	1	no	—
219	C₄×C₂²⋊C₄	—	38	2	no	—
220	C₄×C₂²⋊C₄	—	38	1	no	—
221	C₄³	C₂×D₁₉	1	1	yes	characteristic
222	#339	—	2	1	no	—
223	#339	—	2	1	no	—
224	#328	—	38	2	no	—
225	D₄⋊C₈	—	38	2	no	—
226	C₂×C₁₉	—	2	1	no	—
227	C₂×C₁₉	—	2	1	no	—
228	C₂×C₁₉	#1877	1	1	yes	characteristic
229	C₂×C₁₉	#1896	1	1	yes	characteristic
230	C₂×C₁₉	#1906	1	1	yes	characteristic
231	D₁₉	—	4	4	no	—
232	C₂²×D₄	—	19	1	no	—
233	C₂³×C₄	—	38	2	no	—
234	C₂³×C₄	—	38	1	no	—
235	C₂×SD₁₆	—	38	2	no	—
236	C₂×M₁₆	—	2	1	no	—
237	C₄⋊Q₈	C₄×D₁₉	1	1	yes	characteristic, complemented
238	C₄⋊Q₈	C₄×D₁₉	1	1	yes	characteristic, complemented
239	#125	—	2	1	no	—
240	C₂²⋊Q₈	—	2	1	no	—
241	C₂²⋊Q₈	—	2	1	no	—
242	C₄×Q₈	—	2	1	no	—
243	C₄×Q₈	—	2	1	no	—
244	C₄×D₄	—	19	2	no	—
245	C₄×D₄	—	19	2	no	—
246	C₄×D₄	—	38	8	no	—
247	C₄×D₄	—	38	1	no	—
248	C₄×D₄	—	38	1	no	—
249	#117	—	2	1	no	—
250	C₂×C₄⋊C₄	—	19	1	no	—
251	C₂×C₄⋊C₄	—	38	1	no	—
252	C₂×C₂²⋊C₄	—	38	2	no	—
253	C₂×C₂²⋊C₄	—	38	1	no	—
254	C₂×C₄²	—	2	1	no	—
255	C₂×C₄²	—	2	1	no	—
256	C₂×C₄²	—	38	2	no	—
257	C₂×C₄²	—	38	1	no	—
258	C₂×C₄²	—	76	2	no	—
259	C₂×C₄²	—	76	2	no	—
260	C₂×C₄²	C₂²⋊D₁₉	1	1	yes	characteristic
261	C₂×C₄²	C₂²⋊D₁₉	1	1	yes	characteristic
262	C₂×C₄²	C₂²×D₁₉	1	1	yes	characteristic
263	#106	—	38	2	no	—
264	C₄⋊C₈	—	2	1	no	—
265	C₄⋊C₈	—	2	1	no	—
266	C₄⋊C₈	—	19	2	no	—
267	C₄⋊C₈	—	38	1	no	—
268	#103	—	38	2	no	—
269	#102	—	38	2	no	—
270	C₂²⋊C₈	—	38	1	no	—
271	C₂²⋊C₈	—	38	1	no	—
272	C₄×C₈	—	38	1	no	—
273	C₄×C₈	—	38	1	no	—
274	#95	—	19	2	no	—
275	#95	—	38	2	no	—
276	C₁₉	#9231	1	1	yes	characteristic, complemented, Sylow
277	C₂⁴	—	38	1	no	—
278	C₂×Q₈	—	2	1	no	—
279	C₂×Q₈	—	2	1	no	—
280	C₂×D₄	—	19	2	no	—
281	C₂×D₄	—	38	4	no	—
282	C₂×D₄	—	38	1	no	—
283	C₂²×C₄	—	2	1	no	—
284	C₂²×C₄	—	2	1	no	—
285	C₂²×C₄	—	38	8	no	—
286	C₂²×C₄	—	38	2	no	—
287	C₂²×C₄	—	38	1	no	—
288	C₂²×C₄	—	38	2	no	—
289	C₂²×C₄	—	38	2	no	—
290	C₂²×C₄	—	76	4	no	—
291	C₂²×C₄	—	76	4	no	—
292	C₂²×C₄	—	76	1	no	—
293	C₂²×C₄	—	76	1	no	—
294	C₂²×C₄	—	76	1	no	—
295	C₂²×C₄	—	76	1	no	—
296	C₂²×C₄	D₄×D₁₉	1	1	yes	characteristic
297	C₂²×C₄	D₄×D₁₉	1	1	yes	characteristic
298	C₂²×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
299	SD₁₆	—	76	4	no	—
300	M₁₆	—	4	1	no	—
301	M₁₆	—	4	1	no	—
302	C₂×C₈	—	4	1	no	—
303	C₂×C₈	—	38	2	no	—
304	C₂×C₈	—	76	1	no	—
305	C₄⋊C₄	—	2	1	no	—
306	C₄⋊C₄	—	2	1	no	—
307	C₄⋊C₄	—	2	1	no	—
308	C₄⋊C₄	—	2	1	no	—
309	C₄⋊C₄	—	4	1	no	—
310	C₄⋊C₄	—	4	1	no	—
311	C₄⋊C₄	—	19	2	no	—
312	C₄⋊C₄	—	38	4	no	—
313	C₄⋊C₄	—	38	1	no	—
314	C₂²⋊C₄	—	4	1	no	—
315	C₂²⋊C₄	—	38	8	no	—
316	C₂²⋊C₄	—	38	2	no	—
317	C₂²⋊C₄	—	38	2	no	—
318	C₄²	—	2	4	no	—
319	C₄²	—	2	1	no	—
320	C₄²	—	2	1	no	—
321	C₄²	—	2	1	no	—
322	C₄²	—	4	2	no	—
323	C₄²	—	4	1	no	—
324	C₄²	—	76	4	no	—
325	C₄²	—	76	1	no	—
326	C₄²	—	76	1	no	—
327	C₄²	#64527	1	2	yes	complemented
328	C₄²	C₂×C₄×D₁₉	1	1	yes	characteristic
329	C₄²	#64541	1	1	yes	characteristic
330	C₄²	D₄×D₁₉	1	1	yes	characteristic
331	C₄²	#64543	1	1	yes	characteristic
332	C₂³	—	38	4	no	—
333	C₂³	—	38	2	no	—
334	C₂³	—	76	2	no	—
335	C₂³	—	76	1	no	—
336	C₂³	—	76	1	no	—
337	C₂³	#10597383	1	1	yes	characteristic
338	Q₈	—	4	2	no	—
339	Q₈	—	8	1	no	—
340	D₄	—	19	4	no	—
341	D₄	—	38	4	no	—
342	D₄	—	38	2	no	—
343	C₂×C₄	—	2	2	no	—
344	C₂×C₄	—	2	2	no	—
345	C₂×C₄	—	2	2	no	—
346	C₂×C₄	—	2	2	no	—
347	C₂×C₄	—	2	2	no	—
348	C₂×C₄	—	4	1	no	—
349	C₂×C₄	—	4	1	no	—
350	C₂×C₄	—	4	1	no	—
351	C₂×C₄	—	4	1	no	—
352	C₂×C₄	—	4	1	no	—
353	C₂×C₄	—	38	4	no	—
354	C₂×C₄	—	38	2	no	—
355	C₂×C₄	—	76	16	no	—
356	C₂×C₄	—	76	2	no	—
357	C₂×C₄	—	76	2	no	—
358	C₂×C₄	—	76	1	no	—
359	C₂×C₄	—	76	1	no	—
360	C₂×C₄	—	76	2	no	—
361	C₂×C₄	—	76	2	no	—
362	C₂×C₄	—	76	2	no	—
363	C₂×C₄	—	76	2	no	—
364	C₂×C₄	C₂²⋊C₄×D₁₉	1	1	yes	characteristic
365	C₂×C₄	(C₂²⋊D₁₉)⋊C₄	1	1	yes	characteristic
366	C₂×C₄	#10597329	1	1	yes	characteristic
367	C₂×C₄	#10597330	1	1	yes	characteristic
368	C₂×C₄	C₄×C₂²⋊D₁₉	1	1	yes	characteristic
369	C₂×C₄	#10597384	1	1	yes	characteristic
370	C₂×C₄	C₂×#64527	1	1	yes	characteristic
371	C₂×C₄	#10597388	1	1	yes	characteristic
372	C₂×C₄	#10597395	1	1	yes	characteristic
373	C₂×C₄	#10597396	1	1	yes	characteristic
374	C₈	—	8	1	no	—
375	C₈	—	76	2	no	—
376	C₈	—	152	1	no	—
377	C₂²	—	2	1	no	—
378	C₂²	—	2	1	no	—
379	C₂²	—	38	4	no	—
380	C₂²	—	76	4	no	—
381	C₂²	—	76	4	no	—
382	C₂²	—	76	2	no	—
383	C₂²	—	76	2	no	—
384	C₂²	#11926420	1	1	yes	characteristic
385	C₂²	#11926694	1	1	yes	characteristic
386	C₂²	#11926704	1	1	yes	characteristic
387	C₄	—	2	4	no	—
388	C₄	—	2	1	no	—
389	C₄	—	2	1	no	—
390	C₄	—	2	1	no	—
391	C₄	—	4	2	no	—
392	C₄	—	8	1	no	—
393	C₄	—	8	1	no	—
394	C₄	—	76	4	no	—
395	C₄	—	76	2	no	—
396	C₄	#104×D₁₉	1	2	yes	—
397	C₄	C₄×#64527	1	1	yes	characteristic
398	C₄	#11926642	1	1	yes	characteristic
399	C₄	#11926746	1	1	yes	characteristic
400	C₄	#11926756	1	1	yes	characteristic
401	C₂	—	2	1	no	—
402	C₂	—	2	1	no	—
403	C₂	—	76	4	no	—
404	C₂	#14563972	1	1	yes	characteristic
405	C₂	#14564075	1	1	yes	characteristic
406	C₂	#14564139	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	#10597384
commutator	C₄²×C₁₉	C₂²×C₄
Frattini	C₂×C₄²	C₂²×D₁₉
Fitting	C₁₉×#1994	C₂
socle	C₂²×C₁₉	#386
prime radical	C₂²×D₇₆	D₄
cosocle	C₂×C₄²×C₁₉	C₂³
hypercenter	#1994	D₁₉
hypocenter	C₁₉	#9231
LCS	G ▷ C₄²×C₁₉ ▷ C₂²×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #1994

Complements

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

N	H ≅ G/N	type
3. #14562134	C₂	semidirect
5. #14561536	C₂	semidirect
6. #14561468	C₂	semidirect
7. C₁₉×#1994	C₂	semidirect
12. #11926831	C₄	semidirect
13. #11926746	C₄	semidirect
33. C₁₉×C₄⋊Q₈	C₂×C₄	semidirect
34. C₁₉×C₄⋊Q₈	C₂×C₄	semidirect
70. C₄⋊(C₁₉⋊C₈)	C₂×C₄	semidirect
111. C₄²×C₁₉	SD₁₆	semidirect
176. #1994	D₁₉	semidirect
237. C₄⋊Q₈	C₄×D₁₉	semidirect
238. C₄⋊Q₈	C₄×D₁₉	semidirect
276. C₁₉	#9231	semidirect
327. C₄²	#64527	semidirect

Maximal subgroups

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

subgroup	index
#14573639	2
C₄²×D₇₆	2
#14562134	2
#14562059	2
#14561536	2
#14561468	2
C₁₉×#1994	2
#9231	19