Subgroups — #18079266

Order 4864.

632 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	#14574553	C₂	1	1	yes	maximal, characteristic
2	#14564467	C₂	1	1	yes	maximal, characteristic, complemented
3	#14562303	C₂	1	1	yes	maximal, characteristic, complemented
4	#14562194	C₂	1	1	yes	maximal, characteristic, complemented
5	#14561493	C₂	1	1	yes	maximal, characteristic, complemented
6	#14561464	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#2328	C₂	1	1	yes	maximal, characteristic, complemented
8	#11927094	C₂²	1	1	yes	characteristic
9	#11926920	C₄	1	2	yes	complemented
10	#11926890	C₄	1	2	yes	complemented
11	#11926736	—	2	2	no	—
12	#11926678	—	2	2	no	—
13	#11926597	C₂²	1	1	yes	characteristic
14	#11926597	C₂²	1	1	yes	characteristic
15	#11926568	C₂²	1	1	yes	characteristic
16	C₂×#10597262	—	2	1	no	—
17	C₂×#10597262	—	2	1	no	—
18	#11926288	—	2	2	no	—
19	#11926277	—	2	2	no	—
20	C₂×C₁₉×#127	C₂²	1	1	yes	characteristic
21	C₂×C₄×D₄×C₁₉	—	2	1	no	—
22	C₁₉×#390	—	2	1	no	—
23	C₁₉×#386	—	2	2	no	—
24	C₁₉×#386	—	2	2	no	—
25	C₁₉×#382	C₂²	1	1	yes	characteristic
26	C₁₉×#376	C₂²	1	1	yes	characteristic
27	C₂²×D₄×C₁₉	—	2	1	no	—
28	C₂²×D₄×C₁₉	—	2	1	no	—
29	C₂²×D₄×C₁₉	D₄	1	2	yes	—
30	C₂³×C₄×C₁₉	—	2	2	no	—
31	C₂×#64541	—	2	1	no	—
32	C₁₉×#127	—	2	1	no	—
33	C₁₉×#127	—	2	1	no	—
34	C₁₉×#127	C₂×C₄	1	2	yes	—
35	C₁₉×#127	D₄	1	2	yes	—
36	C₄×D₄×C₁₉	—	4	2	no	—
37	C₄×D₄×C₁₉	—	4	2	no	—
38	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
39	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
40	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
41	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
42	C₂×C₄²×C₁₉	D₄	1	1	yes	characteristic
43	C₂×C₄²×C₁₉	D₄	1	1	yes	characteristic
44	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
45	C₂×#64525	—	2	4	no	—
46	#10597376	—	2	1	no	—
47	#10597376	—	2	1	no	—
48	C₂×#64520	—	2	1	no	—
49	#10597321	—	2	1	no	—
50	#10597320	C₂×C₄	1	1	yes	characteristic, complemented
51	C₄×D₇₆	—	2	1	no	—
52	C₄×D₇₆	—	2	1	no	—
53	#10597315	C₂×C₄	1	1	yes	characteristic, complemented
54	C₁₉×#95	—	2	1	no	—
55	C₁₉×#95	—	2	1	no	—
56	C₁₉×#95	—	2	1	no	—
57	C₁₉×#95	D₄	1	2	yes	—
58	#10597289	—	2	4	no	—
59	C₂²⋊(C₁₉⋊C₈)	—	2	1	no	—
60	C₂²⋊(C₁₉⋊C₈)	—	2	1	no	—
61	#10597262	—	4	2	no	—
62	#10597262	—	4	2	no	—
63	C₄⋊(C₁₉⋊C₈)	—	2	1	no	—
64	C₄⋊(C₁₉⋊C₈)	—	2	1	no	—
65	C₄⋊(C₁₉⋊C₈)	—	2	1	no	—
66	C₄⋊(C₁₉⋊C₈)	—	2	1	no	—
67	C₄×C₁₉⋊C₈	—	2	1	no	—
68	C₄×C₁₉⋊C₈	C₂×C₄	1	2	yes	complemented
69	C₂⁴×C₁₉	—	2	2	no	—
70	C₂×D₄×C₁₉	—	2	2	no	—
71	C₂×D₄×C₁₉	—	2	2	no	—
72	C₂×D₄×C₁₉	—	2	2	no	—
73	C₂×D₄×C₁₉	—	2	2	no	—
74	C₂×D₄×C₁₉	—	2	2	no	—
75	C₂×D₄×C₁₉	—	4	1	no	—
76	C₂×D₄×C₁₉	—	4	1	no	—
77	C₂×D₄×C₁₉	—	4	1	no	—
78	C₂×D₄×C₁₉	—	4	1	no	—
79	C₂×D₄×C₁₉	—	8	2	no	—
80	C₂×D₄×C₁₉	—	8	2	no	—
81	C₂×D₄×C₁₉	C₂²⋊C₄	1	4	yes	—
82	C₂²×C₄×C₁₉	—	2	1	no	—
83	C₂²×C₄×C₁₉	—	2	1	no	—
84	C₂²×C₄×C₁₉	—	2	2	no	—
85	C₂²×C₄×C₁₉	—	4	4	no	—
86	C₂²×C₄×C₁₉	—	8	2	no	—
87	C₂²×C₄×C₁₉	—	8	2	no	—
88	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
89	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
90	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
91	C₂×C₂²⋊D₁₉	—	4	1	no	—
92	#64541	—	4	1	no	—
93	#64541	—	4	1	no	—
94	#64541	—	4	1	no	—
95	#64541	—	4	1	no	—
96	C₂×D₇₆	—	2	1	no	—
97	C₂×D₇₆	—	2	1	no	—
98	C₂×D₇₆	—	2	1	no	—
99	C₂×C₄×D₁₉	—	4	1	no	—
100	C₂×Dic₃₈	—	2	1	no	—
101	C₄⋊C₄×C₁₉	—	4	1	no	—
102	C₄⋊C₄×C₁₉	—	4	1	no	—
103	C₂²⋊C₄×C₁₉	—	4	4	no	—
104	C₂²⋊C₄×C₁₉	—	8	2	no	—
105	C₂²⋊C₄×C₁₉	—	8	2	no	—
106	C₄²×C₁₉	—	2	1	no	—
107	C₄²×C₁₉	—	2	1	no	—
108	C₄²×C₁₉	—	2	1	no	—
109	C₄²×C₁₉	D₈	1	2	yes	complemented
110	C₄²×C₁₉	C₂²×C₄	1	1	yes	characteristic
111	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
112	C₄²×C₁₉	#41	1	1	yes	characteristic
113	C₄²×C₁₉	#41	1	1	yes	characteristic
114	#64525	—	8	4	no	—
115	(C₂×D₁₉)⋊C₄	—	4	1	no	—
116	(C₂×D₁₉)⋊C₄	—	4	1	no	—
117	C₄⋊Dic₁₉	—	2	1	no	—
118	C₄⋊Dic₁₉	—	2	1	no	—
119	#64520	—	4	1	no	—
120	#64520	—	4	1	no	—
121	C₂×C₁₉⋊C₈	—	2	2	no	—
122	C₂×C₁₉⋊C₈	—	4	1	no	—
123	C₂×C₁₉⋊C₈	—	4	1	no	—
124	#9299	—	19	1	no	maximal, Sylow
125	C₂³×C₁₉	—	2	4	no	—
126	C₂³×C₁₉	—	4	2	no	—
127	C₂³×C₁₉	—	4	2	no	—
128	C₂³×C₁₉	—	4	2	no	—
129	C₂³×C₁₉	—	4	2	no	—
130	C₂³×C₁₉	—	4	2	no	—
131	C₂³×C₁₉	—	4	2	no	—
132	C₂³×C₁₉	#120	1	1	yes	characteristic
133	C₂²×D₁₉	—	4	1	no	—
134	D₄×C₁₉	—	4	4	no	—
135	D₄×C₁₉	—	4	2	no	—
136	D₄×C₁₉	—	4	2	no	—
137	D₄×C₁₉	—	4	2	no	—
138	D₄×C₁₉	—	4	2	no	—
139	D₄×C₁₉	—	8	2	no	—
140	D₄×C₁₉	—	8	2	no	—
141	D₄×C₁₉	—	8	2	no	—
142	C₂×C₄×C₁₉	—	2	2	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	—	4	1	no	—
148	C₂×C₄×C₁₉	—	4	1	no	—
149	C₂×C₄×C₁₉	—	4	2	no	—
150	C₂×C₄×C₁₉	—	4	2	no	—
151	C₂×C₄×C₁₉	—	4	2	no	—
152	C₂×C₄×C₁₉	—	4	1	no	—
153	C₂×C₄×C₁₉	—	8	8	no	—
154	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
155	C₂×C₄×C₁₉	C₄×D₄	1	1	yes	characteristic
156	C₂×C₄×C₁₉	C₄×D₄	1	1	yes	characteristic
157	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
158	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
159	C₂×C₄×C₁₉	#123	1	1	yes	characteristic
160	C₂×C₄×C₁₉	C₂×D₈	1	1	yes	characteristic
161	C₂×C₄×C₁₉	#135	1	1	yes	characteristic
162	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
163	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
164	C₂²⋊D₁₉	—	8	1	no	—
165	C₂²⋊D₁₉	—	8	1	no	—
166	C₂×Dic₁₉	—	4	1	no	—
167	D₇₆	—	4	2	no	—
168	D₇₆	—	4	1	no	—
169	D₇₆	—	4	1	no	—
170	D₇₆	—	8	1	no	—
171	C₄×D₁₉	—	8	1	no	—
172	C₄×D₁₉	—	8	1	no	—
173	Dic₃₈	—	4	1	no	—
174	Dic₃₈	—	4	1	no	—
175	C₁₉⋊C₈	—	4	2	no	—
176	C₁₉⋊C₈	—	8	1	no	—
177	C₁₉⋊C₈	—	8	1	no	—
178	#3205	—	19	1	no	—
179	#2328	D₁₉	1	1	yes	characteristic, complemented
180	#1963	—	19	1	no	—
181	#1545	—	19	1	no	—
182	#1517	—	19	1	no	—
183	#1286	—	19	1	no	—
184	#1274	—	19	1	no	—
185	C₂²×C₁₉	—	2	1	no	—
186	C₂²×C₁₉	—	2	1	no	—
187	C₂²×C₁₉	—	4	4	no	—
188	C₂²×C₁₉	—	4	4	no	—
189	C₂²×C₁₉	—	4	4	no	—
190	C₂²×C₁₉	—	8	2	no	—
191	C₂²×C₁₉	—	8	2	no	—
192	C₂²×C₁₉	—	8	2	no	—
193	C₂²×C₁₉	—	8	2	no	—
194	C₂²×C₁₉	#386	1	1	yes	characteristic
195	C₂²×C₁₉	#447	1	1	yes	characteristic
196	C₂²×C₁₉	#449	1	1	yes	characteristic
197	C₂×D₁₉	—	8	1	no	—
198	C₂×D₁₉	—	8	1	no	—
199	C₂×D₁₉	—	8	1	no	—
200	C₄×C₁₉	—	2	1	no	—
201	C₄×C₁₉	—	2	1	no	—
202	C₄×C₁₉	—	2	1	no	—
203	C₄×C₁₉	—	2	1	no	—
204	C₄×C₁₉	—	4	2	no	—
205	C₄×C₁₉	—	8	1	no	—
206	C₄×C₁₉	—	8	2	no	—
207	C₄×C₁₉	C₄×D₈	1	1	yes	characteristic
208	C₄×C₁₉	#442	1	1	yes	characteristic
209	C₄×C₁₉	#459	1	1	yes	characteristic
210	C₄×C₁₉	#463	1	1	yes	characteristic
211	Dic₁₉	—	8	1	no	—
212	#532	—	19	1	no	—
213	C₂×#127	C₂×D₁₉	1	1	yes	characteristic
214	C₂×C₄×D₄	—	2	1	no	—
215	#493	—	19	2	no	—
216	#486	—	19	2	no	—
217	#459	—	38	2	no	—
218	#447	—	38	2	no	—
219	#431	—	19	1	no	—
220	#431	—	19	1	no	—
221	#423	—	19	1	no	—
222	C₂×#104	—	38	1	no	—
223	C₂×#104	—	38	1	no	—
224	#390	—	2	1	no	—
225	#386	—	2	2	no	—
226	#386	—	2	2	no	—
227	#382	C₂×D₁₉	1	1	yes	characteristic
228	#376	C₂×D₁₉	1	1	yes	characteristic
229	#331	—	38	2	no	—
230	#327	—	38	2	no	—
231	C₂×C₁₉	—	2	1	no	—
232	C₂×C₁₉	—	2	1	no	—
233	C₂×C₁₉	—	8	4	no	—
234	C₂×C₁₉	#1879	1	1	yes	characteristic
235	C₂×C₁₉	#1904	1	1	yes	characteristic
236	C₂×C₁₉	#1911	1	1	yes	characteristic
237	D₁₉	—	16	1	no	—
238	C₂×#41	—	38	1	no	—
239	C₂²×D₄	—	2	1	no	—
240	C₂²×D₄	—	2	1	no	—
241	C₂²×D₄	C₂²⋊D₁₉	1	2	yes	—
242	C₂³×C₄	—	2	2	no	—
243	C₂×D₈	—	38	4	no	—
244	C₂×M₁₆	—	38	1	no	—
245	C₄⋊Q₈	—	19	1	no	—
246	#127	—	2	1	no	—
247	#127	—	2	1	no	—
248	#127	—	19	1	no	—
249	#127	C₄×D₁₉	1	2	yes	—
250	#127	D₇₆	1	2	yes	—
251	#124	—	38	1	no	—
252	#121	—	38	1	no	—
253	#121	—	38	1	no	—
254	C₄×D₄	—	4	2	no	—
255	C₄×D₄	—	4	2	no	—
256	C₄×D₄	—	38	1	no	—
257	C₄×D₄	—	38	1	no	—
258	C₂×C₄⋊C₄	—	2	1	no	—
259	C₂×C₂²⋊C₄	—	2	2	no	—
260	C₂×C₂²⋊C₄	—	2	2	no	—
261	C₂×C₂²⋊C₄	—	2	2	no	—
262	C₂×C₄²	C₂²⋊D₁₉	1	1	yes	characteristic
263	C₂×C₄²	C₂²⋊D₁₉	1	1	yes	characteristic
264	C₂×C₄²	C₂²×D₁₉	1	1	yes	characteristic
265	C₄⋊C₈	—	38	1	no	—
266	C₄⋊C₈	—	38	1	no	—
267	C₄⋊C₈	—	38	1	no	—
268	C₄⋊C₈	—	38	1	no	—
269	#104	—	76	2	no	—
270	#104	—	76	2	no	—
271	#102	—	38	4	no	—
272	C₂²⋊C₈	—	38	1	no	—
273	C₂²⋊C₈	—	38	1	no	—
274	C₄×C₈	—	19	2	no	—
275	C₄×C₈	—	38	1	no	—
276	#95	—	2	1	no	—
277	#95	—	2	1	no	—
278	#95	—	2	1	no	—
279	#95	C₂²⋊D₁₉	1	2	yes	—
280	C₁₉	#9299	1	1	yes	characteristic, complemented, Sylow
281	C₂⁴	—	2	2	no	—
282	#41	—	76	1	no	—
283	#41	—	76	1	no	—
284	#41	—	76	1	no	—
285	#41	—	76	1	no	—
286	C₂×Q₈	—	38	1	no	—
287	C₂×D₄	—	2	2	no	—
288	C₂×D₄	—	2	2	no	—
289	C₂×D₄	—	2	2	no	—
290	C₂×D₄	—	2	2	no	—
291	C₂×D₄	—	2	2	no	—
292	C₂×D₄	—	4	1	no	—
293	C₂×D₄	—	4	1	no	—
294	C₂×D₄	—	4	1	no	—
295	C₂×D₄	—	4	1	no	—
296	C₂×D₄	—	8	2	no	—
297	C₂×D₄	—	8	2	no	—
298	C₂×D₄	—	38	1	no	—
299	C₂×D₄	—	38	1	no	—
300	C₂×D₄	—	38	1	no	—
301	C₂×D₄	—	76	1	no	—
302	C₂×D₄	(C₂×D₁₉)⋊C₄	1	4	yes	—
303	C₂²×C₄	—	2	1	no	—
304	C₂²×C₄	—	2	1	no	—
305	C₂²×C₄	—	2	2	no	—
306	C₂²×C₄	—	4	4	no	—
307	C₂²×C₄	—	8	2	no	—
308	C₂²×C₄	—	8	2	no	—
309	C₂²×C₄	—	76	1	no	—
310	C₂²×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
311	C₂²×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
312	C₂²×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
313	D₈	—	152	4	no	—
314	M₁₆	—	76	1	no	—
315	M₁₆	—	76	1	no	—
316	C₂×C₈	—	38	2	no	—
317	C₂×C₈	—	76	1	no	—
318	C₂×C₈	—	76	1	no	—
319	C₄⋊C₄	—	4	1	no	—
320	C₄⋊C₄	—	4	1	no	—
321	C₄⋊C₄	—	38	1	no	—
322	C₄⋊C₄	—	38	1	no	—
323	C₂²⋊C₄	—	4	4	no	—
324	C₂²⋊C₄	—	8	2	no	—
325	C₂²⋊C₄	—	8	2	no	—
326	C₂²⋊C₄	—	76	1	no	—
327	C₂²⋊C₄	—	76	1	no	—
328	C₄²	—	2	1	no	—
329	C₄²	—	2	1	no	—
330	C₄²	—	2	1	no	—
331	C₄²	#64525	1	2	yes	complemented
332	C₄²	C₂×C₄×D₁₉	1	1	yes	characteristic
333	C₄²	C₂×D₇₆	1	1	yes	characteristic
334	C₄²	#64541	1	1	yes	characteristic
335	C₄²	#64541	1	1	yes	characteristic
336	C₂³	—	2	4	no	—
337	C₂³	—	4	2	no	—
338	C₂³	—	4	2	no	—
339	C₂³	—	4	2	no	—
340	C₂³	—	4	2	no	—
341	C₂³	—	4	2	no	—
342	C₂³	—	4	2	no	—
343	C₂³	—	76	1	no	—
344	C₂³	#10597399	1	1	yes	characteristic
345	Q₈	—	76	1	no	—
346	Q₈	—	76	1	no	—
347	D₄	—	4	4	no	—
348	D₄	—	4	2	no	—
349	D₄	—	4	2	no	—
350	D₄	—	4	2	no	—
351	D₄	—	4	2	no	—
352	D₄	—	8	2	no	—
353	D₄	—	8	2	no	—
354	D₄	—	8	2	no	—
355	D₄	—	76	2	no	—
356	D₄	—	76	1	no	—
357	D₄	—	76	1	no	—
358	D₄	—	152	1	no	—
359	D₄	—	152	1	no	—
360	D₄	—	152	1	no	—
361	C₂×C₄	—	2	2	no	—
362	C₂×C₄	—	4	1	no	—
363	C₂×C₄	—	4	1	no	—
364	C₂×C₄	—	4	1	no	—
365	C₂×C₄	—	4	1	no	—
366	C₂×C₄	—	4	1	no	—
367	C₂×C₄	—	4	1	no	—
368	C₂×C₄	—	4	2	no	—
369	C₂×C₄	—	4	2	no	—
370	C₂×C₄	—	4	2	no	—
371	C₂×C₄	—	4	1	no	—
372	C₂×C₄	—	8	8	no	—
373	C₂×C₄	—	76	1	no	—
374	C₂×C₄	—	152	1	no	—
375	C₂×C₄	—	152	1	no	—
376	C₂×C₄	C₂×(C₂×D₁₉)⋊C₄	1	1	yes	characteristic
377	C₂×C₄	C₄×C₂²⋊D₁₉	1	1	yes	characteristic
378	C₂×C₄	C₄×C₂²⋊D₁₉	1	1	yes	characteristic
379	C₂×C₄	#10597375	1	1	yes	characteristic
380	C₂×C₄	#10597376	1	1	yes	characteristic
381	C₂×C₄	#10597376	1	1	yes	characteristic
382	C₂×C₄	C₂×#64525	1	1	yes	characteristic
383	C₂×C₄	#10597378	1	1	yes	characteristic
384	C₂×C₄	#10597395	1	1	yes	characteristic
385	C₂×C₄	#10597396	1	1	yes	characteristic
386	C₈	—	76	2	no	—
387	C₈	—	152	1	no	—
388	C₈	—	152	1	no	—
389	C₂²	—	2	1	no	—
390	C₂²	—	2	1	no	—
391	C₂²	—	4	4	no	—
392	C₂²	—	4	4	no	—
393	C₂²	—	4	4	no	—
394	C₂²	—	8	2	no	—
395	C₂²	—	8	2	no	—
396	C₂²	—	8	2	no	—
397	C₂²	—	8	2	no	—
398	C₂²	—	152	1	no	—
399	C₂²	—	152	1	no	—
400	C₂²	—	152	1	no	—
401	C₂²	#11926423	1	1	yes	characteristic
402	C₂²	#11926678	1	1	yes	characteristic
403	C₂²	#11926689	1	1	yes	characteristic
404	C₄	—	2	1	no	—
405	C₄	—	2	1	no	—
406	C₄	—	2	1	no	—
407	C₄	—	2	1	no	—
408	C₄	—	4	2	no	—
409	C₄	—	8	2	no	—
410	C₄	—	8	1	no	—
411	C₄	—	152	1	no	—
412	C₄	C₄×#64525	1	1	yes	characteristic
413	C₄	#11926654	1	1	yes	characteristic
414	C₄	#11926739	1	1	yes	characteristic
415	C₄	#11926759	1	1	yes	characteristic
416	C₂	—	2	1	no	—
417	C₂	—	2	1	no	—
418	C₂	—	8	4	no	—
419	C₂	—	304	1	no	—
420	C₂	#14563983	1	1	yes	characteristic
421	C₂	#14564122	1	1	yes	characteristic
422	C₂	#14564167	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	#11926423
commutator	C₄²×C₁₉	C₂²×C₄
Frattini	C₂×C₄²	C₂²×D₁₉
Fitting	C₁₉×#2328	C₂
socle	C₂²×C₁₉	#386
prime radical	#14574553	C₂
cosocle	C₂×C₄²×C₁₉	C₂³
hypercenter	#2328	D₁₉
hypocenter	C₁₉	#9299
LCS	G ▷ C₄²×C₁₉ ▷ C₂²×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #2328

Complements

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

N	H ≅ G/N	type
2. #14564467	C₂	semidirect
3. #14562303	C₂	semidirect
4. #14562194	C₂	semidirect
5. #14561493	C₂	semidirect
6. #14561464	C₂	semidirect
7. C₁₉×#2328	C₂	semidirect
9. #11926920	C₄	semidirect
10. #11926890	C₄	semidirect
50. #10597320	C₂×C₄	semidirect
53. #10597315	C₂×C₄	semidirect
68. C₄×C₁₉⋊C₈	C₂×C₄	semidirect
109. C₄²×C₁₉	D₈	semidirect
179. #2328	D₁₉	semidirect
280. C₁₉	#9299	semidirect
331. C₄²	#64525	semidirect

Maximal subgroups

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

subgroup	index
#14574553	2
#14564467	2
#14562303	2
#14562194	2
#14561493	2
#14561464	2
C₁₉×#2328	2
#9299	19