Subgroups — #18070670

Order 4864.

892 conjugacy classes of subgroups.

The subgroup lattice has 400 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14563703	C₂	1	1	yes	maximal, characteristic, complemented
2	#14563329	C₂	1	1	yes	maximal, characteristic, complemented
3	#14561456	C₂	1	4	yes	maximal, complemented
4	C₂×C₁₉×#390	C₂	1	1	yes	maximal, characteristic
5	C₂²×#64520	—	2	1	no	—
6	C₂×C₂²⋊(C₁₉⋊C₈)	—	2	1	no	—
7	#11926299	—	2	1	no	—
8	#11926299	—	2	1	no	—
9	#11926299	C₂²	1	2	yes	complemented
10	#11926299	C₂²	1	2	yes	complemented
11	C₂³×D₄×C₁₉	C₄	1	1	yes	characteristic
12	C₂²×C₄⋊C₄×C₁₉	C₄	1	1	yes	characteristic
13	C₂²×C₂²⋊C₄×C₁₉	—	2	1	no	—
14	C₂²×C₂²⋊C₄×C₁₉	—	2	1	no	—
15	C₂²×C₄²×C₁₉	C₂²	1	1	yes	characteristic
16	C₁₉×#390	—	2	1	no	—
17	C₁₉×#390	—	2	1	no	—
18	C₁₉×#390	C₄	1	2	yes	—
19	C₁₉×#390	C₂²	1	2	yes	—
20	C₂⁵×C₁₉	—	2	1	no	—
21	C₂²×D₄×C₁₉	—	2	4	no	—
22	C₂²×D₄×C₁₉	—	2	1	no	—
23	C₂²×D₄×C₁₉	—	4	2	no	—
24	C₂²×D₄×C₁₉	—	4	2	no	—
25	C₂²×D₄×C₁₉	C₂×C₄	1	2	yes	—
26	C₂³×C₄×C₁₉	—	2	1	no	—
27	C₂³×C₄×C₁₉	C₂×C₄	1	1	yes	characteristic
28	C₂³×C₄×C₁₉	D₄	1	1	yes	characteristic
29	C₂³×C₄×C₁₉	D₄	1	1	yes	characteristic
30	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
31	C₂×C₄⋊C₄×C₁₉	—	4	2	no	—
32	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	2	yes	—
33	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
34	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
35	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
36	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
37	C₂×C₂²⋊C₄×C₁₉	—	4	4	no	—
38	C₂×C₂²⋊C₄×C₁₉	—	4	2	no	—
39	C₂×C₂²⋊C₄×C₁₉	—	4	2	no	—
40	C₂×C₄²×C₁₉	—	4	2	no	—
41	C₂×C₄²×C₁₉	C₂×C₄	1	1	yes	characteristic
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×#64520	—	2	4	no	—
46	C₂×#64520	—	4	2	no	—
47	C₂×#64520	—	4	2	no	—
48	C₂²×C₁₉⋊C₈	—	2	2	no	—
49	C₂²×C₁₉⋊C₈	—	2	2	no	—
50	C₂²⋊(C₁₉⋊C₈)	—	4	2	no	—
51	C₂⁴×C₁₉	—	2	4	no	—
52	C₂⁴×C₁₉	—	2	2	no	—
53	C₂⁴×C₁₉	—	4	2	no	—
54	C₂⁴×C₁₉	—	4	2	no	—
55	C₂⁴×C₁₉	—	4	2	no	—
56	C₂⁴×C₁₉	—	4	2	no	—
57	C₂⁴×C₁₉	—	4	2	no	—
58	C₂⁴×C₁₉	—	4	2	no	—
59	C₂⁴×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
60	C₂×D₄×C₁₉	—	2	4	no	—
61	C₂×D₄×C₁₉	—	2	2	no	—
62	C₂×D₄×C₁₉	—	4	2	no	—
63	C₂×D₄×C₁₉	—	4	2	no	—
64	C₂×D₄×C₁₉	—	4	16	no	—
65	C₂×D₄×C₁₉	—	4	2	no	—
66	C₂×D₄×C₁₉	—	4	2	no	—
67	C₂×D₄×C₁₉	M₁₆	1	4	yes	complemented
68	C₂²×C₄×C₁₉	—	2	2	no	—
69	C₂²×C₄×C₁₉	—	2	2	no	—
70	C₂²×C₄×C₁₉	—	2	2	no	—
71	C₂²×C₄×C₁₉	—	2	2	no	—
72	C₂²×C₄×C₁₉	—	2	2	no	—
73	C₂²×C₄×C₁₉	—	2	2	no	—
74	C₂²×C₄×C₁₉	—	2	2	no	—
75	C₂²×C₄×C₁₉	—	2	2	no	—
76	C₂²×C₄×C₁₉	—	4	1	no	—
77	C₂²×C₄×C₁₉	—	4	2	no	—
78	C₂²×C₄×C₁₉	—	4	2	no	—
79	C₂²×C₄×C₁₉	—	4	2	no	—
80	C₂²×C₄×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
81	C₂²×C₄×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
82	C₂²×C₄×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
83	C₂²×C₄×C₁₉	D₈	1	2	yes	—
84	C₂²×C₄×C₁₉	SD₁₆	1	2	yes	—
85	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
86	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
87	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
88	C₄⋊C₄×C₁₉	—	4	2	no	—
89	C₄⋊C₄×C₁₉	—	4	2	no	—
90	C₂²⋊C₄×C₁₉	—	4	4	no	—
91	C₂²⋊C₄×C₁₉	—	4	4	no	—
92	C₂²⋊C₄×C₁₉	—	4	2	no	—
93	C₂²⋊C₄×C₁₉	—	4	2	no	—
94	C₂²⋊C₄×C₁₉	—	4	4	no	—
95	C₄²×C₁₉	—	4	1	no	—
96	C₄²×C₁₉	—	4	1	no	—
97	C₄²×C₁₉	—	4	1	no	—
98	C₄²×C₁₉	—	4	1	no	—
99	#64520	—	4	8	no	—
100	C₂×C₁₉⋊C₈	—	2	4	no	—
101	C₂×C₁₉⋊C₈	—	4	2	no	—
102	C₂×C₁₉⋊C₈	—	4	2	no	—
103	C₂×C₁₉⋊C₈	—	4	2	no	—
104	C₂×C₁₉⋊C₈	—	4	2	no	—
105	C₂×C₁₉⋊C₈	—	4	2	no	—
106	#7606	—	19	1	no	maximal, Sylow
107	C₂³×C₁₉	—	2	1	no	—
108	C₂³×C₁₉	—	2	1	no	—
109	C₂³×C₁₉	—	2	1	no	—
110	C₂³×C₁₉	—	2	1	no	—
111	C₂³×C₁₉	—	2	4	no	—
112	C₂³×C₁₉	—	4	8	no	—
113	C₂³×C₁₉	—	4	8	no	—
114	C₂³×C₁₉	—	4	8	no	—
115	C₂³×C₁₉	—	4	2	no	—
116	C₂³×C₁₉	—	4	2	no	—
117	C₂³×C₁₉	—	4	2	no	—
118	C₂³×C₁₉	—	4	2	no	—
119	C₂³×C₁₉	—	4	2	no	—
120	C₂³×C₁₉	—	4	2	no	—
121	C₂³×C₁₉	—	8	4	no	—
122	C₂³×C₁₉	—	8	4	no	—
123	C₂³×C₁₉	—	8	4	no	—
124	C₂³×C₁₉	—	8	4	no	—
125	C₂³×C₁₉	#99	1	2	yes	—
126	C₂³×C₁₉	#102	1	2	yes	—
127	C₂³×C₁₉	#104	1	2	yes	—
128	C₂³×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
129	D₄×C₁₉	—	4	4	no	—
130	D₄×C₁₉	—	4	8	no	—
131	D₄×C₁₉	—	4	4	no	—
132	C₂×C₄×C₁₉	—	2	8	no	—
133	C₂×C₄×C₁₉	—	2	4	no	—
134	C₂×C₄×C₁₉	—	2	4	no	—
135	C₂×C₄×C₁₉	—	2	1	no	—
136	C₂×C₄×C₁₉	—	2	1	no	—
137	C₂×C₄×C₁₉	—	2	1	no	—
138	C₂×C₄×C₁₉	—	2	1	no	—
139	C₂×C₄×C₁₉	—	2	1	no	—
140	C₂×C₄×C₁₉	—	2	1	no	—
141	C₂×C₄×C₁₉	—	2	1	no	—
142	C₂×C₄×C₁₉	—	2	1	no	—
143	C₂×C₄×C₁₉	—	2	1	no	—
144	C₂×C₄×C₁₉	—	2	1	no	—
145	C₂×C₄×C₁₉	—	2	1	no	—
146	C₂×C₄×C₁₉	—	2	1	no	—
147	C₂×C₄×C₁₉	—	2	1	no	—
148	C₂×C₄×C₁₉	—	4	4	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	—	8	4	no	—
153	C₂×C₄×C₁₉	#100	1	2	yes	—
154	C₂×C₄×C₁₉	#102	1	2	yes	—
155	C₂×C₄×C₁₉	C₂×M₁₆	1	2	yes	—
156	C₂×C₄×C₁₉	C₂×D₈	1	1	yes	characteristic
157	C₂×C₄×C₁₉	C₂×SD₁₆	1	1	yes	characteristic
158	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	2	yes	—
159	C₁₉⋊C₈	—	4	4	no	—
160	C₁₉⋊C₈	—	8	2	no	—
161	C₂×#390	D₁₉	1	1	yes	characteristic
162	#1817	—	19	1	no	—
163	#1728	—	19	1	no	—
164	#1270	—	19	4	no	—
165	C₂²×C₁₉	—	2	2	no	—
166	C₂²×C₁₉	—	2	2	no	—
167	C₂²×C₁₉	—	2	2	no	—
168	C₂²×C₁₉	—	2	2	no	—
169	C₂²×C₁₉	—	2	2	no	—
170	C₂²×C₁₉	—	2	2	no	—
171	C₂²×C₁₉	—	4	4	no	—
172	C₂²×C₁₉	—	4	4	no	—
173	C₂²×C₁₉	—	4	4	no	—
174	C₂²×C₁₉	—	8	16	no	—
175	C₂²×C₁₉	—	8	2	no	—
176	C₂²×C₁₉	—	8	2	no	—
177	C₂²×C₁₉	—	8	2	no	—
178	C₂²×C₁₉	—	8	2	no	—
179	C₂²×C₁₉	#327	1	4	yes	—
180	C₂²×C₁₉	#407	1	1	yes	characteristic
181	C₂²×C₁₉	C₂×#99	1	1	yes	characteristic
182	C₂²×C₁₉	C₂×#100	1	1	yes	characteristic
183	C₂²×C₁₉	C₂×#102	1	1	yes	characteristic
184	C₂²×C₁₉	#418	1	1	yes	characteristic
185	C₂²×C₁₉	C₂×#104	1	1	yes	characteristic
186	C₂²×C₁₉	#421	1	1	yes	characteristic
187	C₄×C₁₉	—	2	2	no	—
188	C₄×C₁₉	—	2	2	no	—
189	C₄×C₁₉	—	2	1	no	—
190	C₄×C₁₉	—	2	2	no	—
191	C₄×C₁₉	—	2	1	no	—
192	C₄×C₁₉	—	2	2	no	—
193	C₄×C₁₉	—	4	1	no	—
194	C₄×C₁₉	—	8	2	no	—
195	C₂³×D₄	Dic₁₉	1	1	yes	characteristic
196	C₂²×M₁₆	—	38	1	no	—
197	C₂²×C₄⋊C₄	Dic₁₉	1	1	yes	characteristic
198	C₂²×C₂²⋊C₄	—	2	1	no	—
199	C₂²×C₂²⋊C₄	—	2	1	no	—
200	C₂²×C₄²	C₂×D₁₉	1	1	yes	characteristic
201	C₂×C₂²⋊C₈	—	38	1	no	—
202	#390	—	2	1	no	—
203	#390	—	2	1	no	—
204	#390	Dic₁₉	1	2	yes	—
205	#390	C₂×D₁₉	1	2	yes	—
206	#336	—	19	2	no	—
207	#336	—	19	2	no	—
208	#336	—	38	1	no	—
209	#336	—	38	1	no	—
210	C₂×C₁₉	—	2	4	no	—
211	C₂×C₁₉	—	8	4	no	—
212	C₂×C₁₉	#1462	1	1	yes	characteristic
213	C₂×C₁₉	#1486	1	1	yes	characteristic
214	C₂×C₁₉	#1490	1	1	yes	characteristic
215	C₂×C₁₉	C₂×#327	1	1	yes	characteristic
216	C₂×C₁₉	#1510	1	1	yes	characteristic
217	C₂×C₁₉	#1527	1	1	yes	characteristic
218	C₂×C₁₉	#1545	1	1	yes	characteristic
219	C₂⁵	—	2	1	no	—
220	C₂²×D₄	—	2	4	no	—
221	C₂²×D₄	—	2	1	no	—
222	C₂²×D₄	—	4	2	no	—
223	C₂²×D₄	—	4	2	no	—
224	C₂²×D₄	C₂×Dic₁₉	1	2	yes	—
225	C₂³×C₄	—	2	1	no	—
226	C₂³×C₄	C₂×Dic₁₉	1	1	yes	characteristic
227	C₂³×C₄	C₂²⋊D₁₉	1	1	yes	characteristic
228	C₂³×C₄	C₂²⋊D₁₉	1	1	yes	characteristic
229	C₂×M₁₆	—	38	4	no	—
230	C₂×M₁₆	—	76	2	no	—
231	C₂×M₁₆	—	76	2	no	—
232	C₂²×C₈	—	38	2	no	—
233	C₂²×C₈	—	38	2	no	—
234	C₂×C₄⋊C₄	—	2	1	no	—
235	C₂×C₄⋊C₄	—	4	2	no	—
236	C₂×C₄⋊C₄	C₂×Dic₁₉	1	2	yes	—
237	C₂×C₂²⋊C₄	—	2	2	no	—
238	C₂×C₂²⋊C₄	—	2	2	no	—
239	C₂×C₂²⋊C₄	—	2	2	no	—
240	C₂×C₂²⋊C₄	—	2	2	no	—
241	C₂×C₂²⋊C₄	—	4	4	no	—
242	C₂×C₂²⋊C₄	—	4	2	no	—
243	C₂×C₂²⋊C₄	—	4	2	no	—
244	C₂×C₄²	—	4	2	no	—
245	C₂×C₄²	C₂×Dic₁₉	1	1	yes	characteristic
246	C₂×C₄²	C₂²⋊D₁₉	1	1	yes	characteristic
247	C₂×C₄²	C₂²⋊D₁₉	1	1	yes	characteristic
248	C₂×C₄²	C₂²×D₁₉	1	1	yes	characteristic
249	C₂²⋊C₈	—	76	2	no	—
250	C₁₉	#7606	1	1	yes	characteristic, complemented, Sylow
251	C₂⁴	—	2	4	no	—
252	C₂⁴	—	2	2	no	—
253	C₂⁴	—	4	2	no	—
254	C₂⁴	—	4	2	no	—
255	C₂⁴	—	4	2	no	—
256	C₂⁴	—	4	2	no	—
257	C₂⁴	—	4	2	no	—
258	C₂⁴	—	4	2	no	—
259	C₂⁴	C₂²⋊Dic₁₉	1	1	yes	characteristic
260	C₂×D₄	—	2	4	no	—
261	C₂×D₄	—	2	2	no	—
262	C₂×D₄	—	4	2	no	—
263	C₂×D₄	—	4	2	no	—
264	C₂×D₄	—	4	16	no	—
265	C₂×D₄	—	4	2	no	—
266	C₂×D₄	—	4	2	no	—
267	C₂×D₄	#64520	1	4	yes	complemented
268	C₂²×C₄	—	2	2	no	—
269	C₂²×C₄	—	2	2	no	—
270	C₂²×C₄	—	2	2	no	—
271	C₂²×C₄	—	2	2	no	—
272	C₂²×C₄	—	2	2	no	—
273	C₂²×C₄	—	2	2	no	—
274	C₂²×C₄	—	2	2	no	—
275	C₂²×C₄	—	2	2	no	—
276	C₂²×C₄	—	4	1	no	—
277	C₂²×C₄	—	4	2	no	—
278	C₂²×C₄	—	4	2	no	—
279	C₂²×C₄	—	4	2	no	—
280	C₂²×C₄	#64525	1	2	yes	—
281	C₂²×C₄	#64526	1	2	yes	—
282	C₂²×C₄	C₂²⋊Dic₁₉	1	1	yes	characteristic
283	C₂²×C₄	C₂²⋊Dic₁₉	1	1	yes	characteristic
284	C₂²×C₄	C₂²⋊Dic₁₉	1	1	yes	characteristic
285	C₂²×C₄	C₂²×Dic₁₉	1	1	yes	characteristic
286	C₂²×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
287	C₂²×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
288	M₁₆	—	76	8	no	—
289	C₂×C₈	—	38	4	no	—
290	C₂×C₈	—	76	2	no	—
291	C₂×C₈	—	76	2	no	—
292	C₂×C₈	—	76	2	no	—
293	C₂×C₈	—	76	2	no	—
294	C₂×C₈	—	76	2	no	—
295	C₄⋊C₄	—	4	2	no	—
296	C₄⋊C₄	—	4	2	no	—
297	C₂²⋊C₄	—	4	4	no	—
298	C₂²⋊C₄	—	4	2	no	—
299	C₂²⋊C₄	—	4	4	no	—
300	C₂²⋊C₄	—	4	2	no	—
301	C₂²⋊C₄	—	4	4	no	—
302	C₄²	—	4	1	no	—
303	C₄²	—	4	1	no	—
304	C₄²	—	4	1	no	—
305	C₄²	—	4	1	no	—
306	C₂³	—	2	1	no	—
307	C₂³	—	2	1	no	—
308	C₂³	—	2	1	no	—
309	C₂³	—	2	1	no	—
310	C₂³	—	2	4	no	—
311	C₂³	—	4	8	no	—
312	C₂³	—	4	8	no	—
313	C₂³	—	4	8	no	—
314	C₂³	—	4	2	no	—
315	C₂³	—	4	2	no	—
316	C₂³	—	4	2	no	—
317	C₂³	—	4	2	no	—
318	C₂³	—	4	2	no	—
319	C₂³	—	4	2	no	—
320	C₂³	—	8	4	no	—
321	C₂³	—	8	4	no	—
322	C₂³	—	8	4	no	—
323	C₂³	—	8	4	no	—
324	C₂³	#10597289	1	2	yes	—
325	C₂³	#10597291	1	2	yes	—
326	C₂³	#10597294	1	2	yes	—
327	C₂³	C₂×C₂²⋊Dic₁₉	1	1	yes	characteristic
328	D₄	—	4	4	no	—
329	D₄	—	4	8	no	—
330	D₄	—	4	4	no	—
331	C₂×C₄	—	2	8	no	—
332	C₂×C₄	—	2	4	no	—
333	C₂×C₄	—	2	4	no	—
334	C₂×C₄	—	2	1	no	—
335	C₂×C₄	—	2	1	no	—
336	C₂×C₄	—	2	1	no	—
337	C₂×C₄	—	2	1	no	—
338	C₂×C₄	—	2	1	no	—
339	C₂×C₄	—	2	1	no	—
340	C₂×C₄	—	2	1	no	—
341	C₂×C₄	—	2	1	no	—
342	C₂×C₄	—	2	1	no	—
343	C₂×C₄	—	2	1	no	—
344	C₂×C₄	—	2	1	no	—
345	C₂×C₄	—	2	1	no	—
346	C₂×C₄	—	2	1	no	—
347	C₂×C₄	—	4	4	no	—
348	C₂×C₄	—	4	2	no	—
349	C₂×C₄	—	4	2	no	—
350	C₂×C₄	—	4	2	no	—
351	C₂×C₄	—	8	4	no	—
352	C₂×C₄	#10597289	1	2	yes	—
353	C₂×C₄	#10597290	1	2	yes	—
354	C₂×C₄	C₂×#64520	1	2	yes	—
355	C₂×C₄	C₂×#64525	1	1	yes	characteristic
356	C₂×C₄	#10597378	1	2	yes	—
357	C₂×C₄	C₂×#64526	1	1	yes	characteristic
358	C₈	—	76	4	no	—
359	C₈	—	152	2	no	—
360	C₂²	—	2	2	no	—
361	C₂²	—	2	2	no	—
362	C₂²	—	2	2	no	—
363	C₂²	—	2	2	no	—
364	C₂²	—	2	2	no	—
365	C₂²	—	2	2	no	—
366	C₂²	—	4	4	no	—
367	C₂²	—	4	4	no	—
368	C₂²	—	4	4	no	—
369	C₂²	—	8	16	no	—
370	C₂²	—	8	2	no	—
371	C₂²	—	8	2	no	—
372	C₂²	—	8	2	no	—
373	C₂²	—	8	2	no	—
374	C₂²	#11926278	1	4	yes	—
375	C₂²	#11926508	1	1	yes	characteristic
376	C₂²	C₂×#10597291	1	1	yes	characteristic
377	C₂²	C₂×#10597290	1	1	yes	characteristic
378	C₂²	C₂×#10597289	1	1	yes	characteristic
379	C₂²	#11926549	1	1	yes	characteristic
380	C₂²	C₂×#10597294	1	1	yes	characteristic
381	C₂²	#11926561	1	1	yes	characteristic
382	C₄	—	2	1	no	—
383	C₄	—	2	1	no	—
384	C₄	—	2	2	no	—
385	C₄	—	2	2	no	—
386	C₄	—	2	2	no	—
387	C₄	—	2	2	no	—
388	C₄	—	4	1	no	—
389	C₄	—	8	2	no	—
390	C₂	—	2	4	no	—
391	C₂	—	8	4	no	—
392	C₂	#14561962	1	1	yes	characteristic
393	C₂	#14562060	1	1	yes	characteristic
394	C₂	#14562078	1	1	yes	characteristic
395	C₂	C₂×#11926278	1	1	yes	characteristic
396	C₂	#14562164	1	1	yes	characteristic
397	C₂	#14562233	1	1	yes	characteristic
398	C₂	#14562303	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂×C₂²⋊Dic₁₉
commutator	C₂²×C₄×C₁₉	C₂²×C₄
Frattini	C₂×C₄²	C₂²×D₁₉
Fitting	C₂×C₁₉×#390	C₂
socle	C₂³×C₁₉	C₂×C₂²⋊C₄
prime radical	C₂³×D₄×C₁₉	C₄
cosocle	C₂×C₄²×C₁₉	C₂³
hypercenter	C₂×#390	D₁₉
hypocenter	C₁₉	#7606
LCS	G ▷ C₂²×C₄×C₁₉ ▷ C₂²×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂³ ◁ C₂²×C₄² ◁ C₂×#390

Complements

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

N	H ≅ G/N	type
1. #14563703	C₂	semidirect
2. #14563329	C₂	semidirect
3. #14561456	C₂	semidirect
9. #11926299	C₂²	semidirect
10. #11926299	C₂²	semidirect
67. C₂×D₄×C₁₉	M₁₆	semidirect
250. C₁₉	#7606	semidirect
267. C₂×D₄	#64520	semidirect

Maximal subgroups

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

subgroup	index
#14563703	2
#14563329	2
#14561456	2
C₂×C₁₉×#390	2
#7606	19