Subgroups — #18088030

Order 4864.

1178 conjugacy classes of subgroups.

The subgroup lattice has 388 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11926553	C₂	1	2	yes	maximal
2	#14563374	C₂	1	1	yes	maximal, characteristic
3	#14563368	C₂	1	1	yes	maximal, characteristic
4	#14563344	C₂	1	2	yes	maximal
5	C₂×C₁₉×#519	C₂	1	1	yes	maximal, characteristic
6	C₂²×#64520	C₂²	1	2	yes	—
7	C₂×#10597372	C₂²	1	2	yes	—
8	#11926553	—	2	4	no	—
9	#11926553	C₄	1	8	yes	complemented
10	C₂×#10597292	—	2	4	no	—
11	#11926313	—	2	2	no	—
12	#11926311	—	2	2	no	—
13	#11926303	—	2	4	no	—
14	C₂³×Q₈×C₁₉	C₂²	1	1	yes	characteristic
15	C₁₉×#519	—	2	4	no	—
16	C₁₉×#519	—	2	4	no	—
17	C₂×C₄×Q₈×C₁₉	—	2	2	no	—
18	C₂×C₄×Q₈×C₁₉	C₄	1	4	yes	complemented
19	C₂×C₁₉×#117	—	2	2	no	—
20	C₂×C₁₉×#117	C₂²	1	1	yes	characteristic
21	C₂×C₁₉×#117	C₂²	1	1	yes	characteristic
22	C₂²×Q₈×C₁₉	—	2	1	no	—
23	C₂²×Q₈×C₁₉	—	2	2	no	—
24	C₂²×Q₈×C₁₉	—	2	2	no	—
25	C₂²×Q₈×C₁₉	—	2	1	no	—
26	C₂²×Q₈×C₁₉	—	2	1	no	—
27	C₂²×Q₈×C₁₉	C₂×C₄	1	4	yes	—
28	C₂²×Q₈×C₁₉	C₂×C₄	1	2	yes	—
29	C₂²×Q₈×C₁₉	D₄	1	2	yes	—
30	C₂²×Q₈×C₁₉	D₄	1	4	yes	—
31	C₂²×Q₈×C₁₉	Q₈	1	2	yes	—
32	C₂³×C₄×C₁₉	—	2	1	no	—
33	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
34	C₄×Q₈×C₁₉	—	2	16	no	—
35	C₄×Q₈×C₁₉	—	2	8	no	—
36	C₄×Q₈×C₁₉	—	2	8	no	—
37	C₁₉×#117	—	2	16	no	—
38	C₁₉×#117	—	2	2	no	—
39	C₁₉×#117	—	2	2	no	—
40	C₁₉×#117	—	2	2	no	—
41	C₁₉×#117	D₄	1	4	yes	—
42	C₂×C₄⋊C₄×C₁₉	—	2	4	no	—
43	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	2	yes	—
44	C₂×C₄⋊C₄×C₁₉	D₄	1	2	yes	—
45	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
46	C₂×C₂²⋊C₄×C₁₉	D₄	1	2	yes	—
47	C₂×C₄²×C₁₉	—	2	4	no	—
48	C₂×C₄²×C₁₉	—	2	1	no	—
49	C₂×C₄²×C₁₉	C₂×C₄	1	2	yes	—
50	C₂×C₂²⋊Dic₁₉	—	2	2	no	—
51	#10597372	—	2	2	no	—
52	#10597372	—	2	2	no	—
53	#10597372	—	2	2	no	—
54	#10597372	C₂×C₄	1	4	yes	—
55	C₂×C₄⋊Dic₁₉	—	2	2	no	—
56	C₂×C₄×Dic₁₉	—	2	2	no	—
57	C₂×#64520	—	2	2	no	—
58	C₂×#64520	—	2	2	no	—
59	C₂×#64520	—	2	2	no	—
60	C₂×#64520	—	2	2	no	—
61	C₂×#64520	—	2	2	no	—
62	C₂×#64520	C₂×C₄	1	4	yes	—
63	C₂²×C₁₉⋊C₈	—	2	2	no	—
64	#10597292	—	2	16	no	—
65	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
66	C₂×Q₈×C₁₉	—	2	2	no	—
67	C₂×Q₈×C₁₉	—	2	2	no	—
68	C₂×Q₈×C₁₉	—	2	2	no	—
69	C₂×Q₈×C₁₉	—	2	4	no	—
70	C₂×Q₈×C₁₉	—	2	4	no	—
71	C₂×Q₈×C₁₉	—	2	4	no	—
72	C₂×Q₈×C₁₉	—	2	4	no	—
73	C₂×Q₈×C₁₉	—	2	2	no	—
74	C₂×Q₈×C₁₉	—	2	4	no	—
75	C₂×Q₈×C₁₉	—	2	2	no	—
76	C₂×Q₈×C₁₉	—	2	4	no	—
77	C₂×Q₈×C₁₉	—	2	4	no	—
78	C₂×Q₈×C₁₉	—	2	4	no	—
79	C₂×Q₈×C₁₉	C₄²	1	4	yes	—
80	C₂×Q₈×C₁₉	C₂²⋊C₄	1	8	yes	—
81	C₂×Q₈×C₁₉	C₂²⋊C₄	1	4	yes	—
82	C₂×Q₈×C₁₉	C₄⋊C₄	1	8	yes	—
83	C₂×Q₈×C₁₉	C₄⋊C₄	1	4	yes	—
84	C₂²×C₄×C₁₉	—	2	2	no	—
85	C₂²×C₄×C₁₉	—	2	4	no	—
86	C₂²×C₄×C₁₉	—	2	4	no	—
87	C₂²×C₄×C₁₉	—	2	2	no	—
88	C₂²×C₄×C₁₉	—	2	2	no	—
89	C₂²×C₄×C₁₉	—	2	2	no	—
90	C₂²×C₄×C₁₉	C₂²⋊C₄	1	4	yes	—
91	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
92	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
93	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
94	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
95	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
96	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
97	C₂²×C₄×C₁₉	C₂×Q₈	1	1	yes	characteristic
98	C₂²×C₄×C₁₉	#41	1	1	yes	characteristic
99	C₂²×C₄×C₁₉	#41	1	1	yes	characteristic
100	C₂²×C₄×C₁₉	#41	1	2	yes	—
101	C₂²×Dic₁₉	—	4	2	no	—
102	C₄⋊C₄×C₁₉	—	2	16	no	—
103	C₄⋊C₄×C₁₉	—	2	2	no	—
104	C₄⋊C₄×C₁₉	—	2	4	no	—
105	C₄⋊C₄×C₁₉	C₂²⋊C₄	1	4	yes	—
106	C₂²⋊C₄×C₁₉	—	2	4	no	—
107	C₂²⋊C₄×C₁₉	—	2	4	no	—
108	C₄²×C₁₉	—	2	16	no	—
109	C₄²×C₁₉	—	2	2	no	—
110	C₄²×C₁₉	—	2	2	no	—
111	C₄²×C₁₉	—	2	4	no	—
112	C₂²⋊Dic₁₉	—	2	4	no	—
113	C₂²⋊Dic₁₉	—	4	2	no	—
114	C₄⋊Dic₁₉	—	2	4	no	—
115	C₄⋊Dic₁₉	—	4	2	no	—
116	C₄×Dic₁₉	—	2	4	no	—
117	C₄×Dic₁₉	—	4	2	no	—
118	#64520	—	2	4	no	—
119	#64520	—	2	4	no	—
120	#64520	—	4	2	no	—
121	#64520	—	4	2	no	—
122	C₂×C₁₉⋊C₈	—	2	4	no	—
123	C₂×C₁₉⋊C₈	—	4	2	no	—
124	C₂×C₁₉⋊C₈	—	4	2	no	—
125	#10777	—	19	1	no	maximal, Sylow
126	C₂³×C₁₉	—	4	2	no	—
127	C₂³×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
128	C₂³×C₁₉	C₄×D₄	1	2	yes	—
129	C₂³×C₁₉	#120	1	2	yes	—
130	C₂³×C₁₉	#121	1	1	yes	characteristic
131	C₂³×C₁₉	C₂²⋊Q₈	1	1	yes	characteristic
132	Q₈×C₁₉	—	2	4	no	—
133	Q₈×C₁₉	—	2	4	no	—
134	Q₈×C₁₉	—	2	4	no	—
135	Q₈×C₁₉	—	2	8	no	—
136	Q₈×C₁₉	—	2	8	no	—
137	Q₈×C₁₉	#95	1	8	yes	—
138	C₂×C₄×C₁₉	—	2	4	no	—
139	C₂×C₄×C₁₉	—	2	4	no	—
140	C₂×C₄×C₁₉	—	2	4	no	—
141	C₂×C₄×C₁₉	—	2	8	no	—
142	C₂×C₄×C₁₉	—	2	8	no	—
143	C₂×C₄×C₁₉	—	2	4	no	—
144	C₂×C₄×C₁₉	—	2	4	no	—
145	C₂×C₄×C₁₉	—	4	4	no	—
146	C₂×C₄×C₁₉	—	4	4	no	—
147	C₂×C₄×C₁₉	C₂×C₄²	1	1	yes	characteristic
148	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
149	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
150	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	2	yes	—
151	C₂×C₄×C₁₉	C₂×C₄⋊C₄	1	2	yes	—
152	C₂×C₄×C₁₉	C₂×C₄⋊C₄	1	1	yes	characteristic
153	C₂×C₄×C₁₉	#117	1	1	yes	characteristic
154	C₂×C₄×C₁₉	#117	1	1	yes	characteristic
155	C₂×C₄×C₁₉	C₄×D₄	1	2	yes	—
156	C₂×C₄×C₁₉	C₄×D₄	1	2	yes	—
157	C₂×C₄×C₁₉	C₄×D₄	1	2	yes	—
158	C₂×C₄×C₁₉	#120	1	2	yes	—
159	C₂×C₄×C₁₉	#121	1	2	yes	—
160	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
161	C₂×C₄×C₁₉	C₂²⋊Q₈	1	2	yes	—
162	C₂×C₄×C₁₉	C₂²⋊Q₈	1	1	yes	characteristic
163	C₂×C₄×C₁₉	#123	1	2	yes	—
164	C₂×C₄×C₁₉	#123	1	2	yes	—
165	C₂×Dic₁₉	—	4	4	no	—
166	C₂×Dic₁₉	—	8	4	no	—
167	C₁₉⋊C₈	—	4	4	no	—
168	C₂×#519	D₁₉	1	1	yes	characteristic
169	C₂×#419	—	19	2	no	—
170	#1742	—	19	1	no	—
171	#1740	—	19	1	no	—
172	#1733	—	19	2	no	—
173	C₂²×C₁₉	—	2	4	no	—
174	C₂²×C₁₉	—	2	2	no	—
175	C₂²×C₁₉	—	4	2	no	—
176	C₂²×C₁₉	—	4	1	no	—
177	C₂²×C₁₉	—	4	1	no	—
178	C₂²×C₁₉	C₄×C₂²⋊C₄	1	1	yes	characteristic
179	C₂²×C₁₉	#379	1	1	yes	characteristic
180	C₂²×C₁₉	#380	1	1	yes	characteristic
181	C₂²×C₁₉	#385	1	2	yes	—
182	C₂²×C₁₉	#386	1	2	yes	—
183	C₄×C₁₉	—	2	8	no	—
184	C₄×C₁₉	—	4	4	no	—
185	C₄×C₁₉	—	4	4	no	—
186	C₄×C₁₉	C₂×#95	1	1	yes	characteristic
187	C₄×C₁₉	C₄×C₂²⋊C₄	1	1	yes	characteristic
188	C₄×C₁₉	#380	1	1	yes	characteristic
189	C₄×C₁₉	#381	1	1	yes	characteristic
190	C₄×C₁₉	#385	1	2	yes	—
191	C₄×C₁₉	#386	1	2	yes	—
192	Dic₁₉	—	8	4	no	—
193	C₂³×Q₈	C₂×D₁₉	1	1	yes	characteristic
194	C₂²×M₁₆	—	19	2	no	—
195	#519	—	2	4	no	—
196	#519	—	2	4	no	—
197	C₂×C₄×Q₈	—	2	2	no	—
198	C₂×C₄×Q₈	Dic₁₉	1	4	yes	complemented
199	C₂×#117	—	2	2	no	—
200	C₂×#117	—	19	2	no	—
201	C₂×#117	C₂×D₁₉	1	1	yes	characteristic
202	C₂×#117	C₂×D₁₉	1	1	yes	characteristic
203	#419	—	19	8	no	—
204	#419	—	38	4	no	—
205	C₂×#103	—	38	4	no	—
206	#343	—	38	2	no	—
207	#342	—	38	2	no	—
208	#339	—	38	4	no	—
209	C₂×C₁₉	—	2	2	no	—
210	C₂×C₁₉	—	2	1	no	—
211	C₂×C₁₉	—	2	1	no	—
212	C₂×C₁₉	—	2	2	no	—
213	C₂×C₁₉	C₂²⋊#95	1	1	yes	characteristic
214	C₂×C₁₉	#1796	1	2	yes	—
215	C₂²×Q₈	—	2	1	no	—
216	C₂²×Q₈	—	2	1	no	—
217	C₂²×Q₈	—	2	2	no	—
218	C₂²×Q₈	—	2	1	no	—
219	C₂²×Q₈	—	2	2	no	—
220	C₂²×Q₈	Dic₃₈	1	2	yes	—
221	C₂²×Q₈	C₄×D₁₉	1	4	yes	—
222	C₂²×Q₈	D₇₆	1	2	yes	—
223	C₂²×Q₈	C₂×Dic₁₉	1	2	yes	—
224	C₂²×Q₈	C₂²⋊D₁₉	1	4	yes	—
225	C₂³×C₄	—	2	1	no	—
226	C₂³×C₄	C₂²×D₁₉	1	1	yes	characteristic
227	C₂×M₁₆	—	19	4	no	—
228	C₂×M₁₆	—	38	2	no	—
229	C₂×M₁₆	—	38	2	no	—
230	C₂×M₁₆	—	38	2	no	—
231	C₂×M₁₆	—	38	2	no	—
232	C₂×M₁₆	—	38	2	no	—
233	C₂²×C₈	—	38	2	no	—
234	C₄×Q₈	—	2	16	no	—
235	C₄×Q₈	—	2	8	no	—
236	C₄×Q₈	—	2	8	no	—
237	#117	—	2	16	no	—
238	#117	—	2	2	no	—
239	#117	—	2	2	no	—
240	#117	—	2	2	no	—
241	#117	—	19	4	no	—
242	#117	—	38	2	no	—
243	#117	—	38	2	no	—
244	#117	—	38	2	no	—
245	#117	C₂²⋊D₁₉	1	4	yes	—
246	C₂×C₄⋊C₄	—	2	4	no	—
247	C₂×C₄⋊C₄	—	38	2	no	—
248	C₂×C₄⋊C₄	C₂×Dic₁₉	1	2	yes	—
249	C₂×C₄⋊C₄	C₂²⋊D₁₉	1	2	yes	—
250	C₂×C₂²⋊C₄	—	2	1	no	—
251	C₂×C₂²⋊C₄	—	38	2	no	—
252	C₂×C₂²⋊C₄	C₂²⋊D₁₉	1	2	yes	—
253	C₂×C₄²	—	2	4	no	—
254	C₂×C₄²	—	2	1	no	—
255	C₂×C₄²	—	38	2	no	—
256	C₂×C₄²	C₂×Dic₁₉	1	2	yes	—
257	#103	—	38	16	no	—
258	C₁₉	#10777	1	1	yes	characteristic, complemented, Sylow
259	C₂⁴	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
260	C₂×Q₈	—	2	2	no	—
261	C₂×Q₈	—	2	4	no	—
262	C₂×Q₈	—	2	2	no	—
263	C₂×Q₈	—	2	4	no	—
264	C₂×Q₈	—	2	2	no	—
265	C₂×Q₈	—	2	4	no	—
266	C₂×Q₈	—	2	2	no	—
267	C₂×Q₈	—	2	2	no	—
268	C₂×Q₈	—	2	4	no	—
269	C₂×Q₈	—	2	4	no	—
270	C₂×Q₈	—	2	4	no	—
271	C₂×Q₈	—	2	4	no	—
272	C₂×Q₈	—	2	4	no	—
273	C₂×Q₈	C₄×Dic₁₉	1	4	yes	—
274	C₂×Q₈	Dic₁₉⋊C₄	1	8	yes	—
275	C₂×Q₈	C₄⋊Dic₁₉	1	4	yes	—
276	C₂×Q₈	(C₂×D₁₉)⋊C₄	1	8	yes	—
277	C₂×Q₈	C₂²⋊Dic₁₉	1	4	yes	—
278	C₂²×C₄	—	2	2	no	—
279	C₂²×C₄	—	2	2	no	—
280	C₂²×C₄	—	2	4	no	—
281	C₂²×C₄	—	2	2	no	—
282	C₂²×C₄	—	2	4	no	—
283	C₂²×C₄	—	2	2	no	—
284	C₂²×C₄	—	76	2	no	—
285	C₂²×C₄	C₂²⋊Dic₁₉	1	4	yes	—
286	C₂²×C₄	C₂×Dic₃₈	1	1	yes	characteristic
287	C₂²×C₄	C₂×C₄×D₁₉	1	2	yes	—
288	C₂²×C₄	C₂×D₇₆	1	1	yes	characteristic
289	C₂²×C₄	#64541	1	2	yes	—
290	C₂²×C₄	#64541	1	1	yes	characteristic
291	C₂²×C₄	#64541	1	1	yes	characteristic
292	C₂²×C₄	C₂²×Dic₁₉	1	1	yes	characteristic
293	C₂²×C₄	C₂×C₂²⋊D₁₉	1	2	yes	—
294	C₂²×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
295	C₂²×C₄	C₂×C₂²⋊D₁₉	1	2	yes	—
296	M₁₆	—	38	4	no	—
297	M₁₆	—	38	4	no	—
298	M₁₆	—	76	2	no	—
299	M₁₆	—	76	2	no	—
300	C₂×C₈	—	38	4	no	—
301	C₂×C₈	—	76	2	no	—
302	C₂×C₈	—	76	2	no	—
303	C₄⋊C₄	—	2	16	no	—
304	C₄⋊C₄	—	2	2	no	—
305	C₄⋊C₄	—	2	4	no	—
306	C₄⋊C₄	—	38	4	no	—
307	C₄⋊C₄	—	76	2	no	—
308	C₄⋊C₄	C₂²⋊Dic₁₉	1	4	yes	—
309	C₂²⋊C₄	—	2	4	no	—
310	C₂²⋊C₄	—	2	4	no	—
311	C₂²⋊C₄	—	38	4	no	—
312	C₂²⋊C₄	—	76	2	no	—
313	C₄²	—	2	16	no	—
314	C₄²	—	2	2	no	—
315	C₄²	—	2	2	no	—
316	C₄²	—	2	4	no	—
317	C₄²	—	38	4	no	—
318	C₄²	—	76	2	no	—
319	C₂³	—	4	2	no	—
320	C₂³	#10597370	1	1	yes	characteristic
321	C₂³	C₄×C₂²⋊D₁₉	1	2	yes	—
322	C₂³	#10597376	1	1	yes	characteristic
323	C₂³	C₂×C₂²⋊Dic₁₉	1	1	yes	characteristic
324	C₂³	#10597399	1	2	yes	—
325	Q₈	—	2	4	no	—
326	Q₈	—	2	4	no	—
327	Q₈	—	2	4	no	—
328	Q₈	—	2	8	no	—
329	Q₈	—	2	8	no	—
330	Q₈	C₁₉⋊#95	1	8	yes	—
331	C₂×C₄	—	2	4	no	—
332	C₂×C₄	—	2	4	no	—
333	C₂×C₄	—	2	4	no	—
334	C₂×C₄	—	2	8	no	—
335	C₂×C₄	—	2	8	no	—
336	C₂×C₄	—	2	4	no	—
337	C₂×C₄	—	2	4	no	—
338	C₂×C₄	—	4	4	no	—
339	C₂×C₄	—	4	4	no	—
340	C₂×C₄	—	76	4	no	—
341	C₂×C₄	—	152	4	no	—
342	C₂×C₄	C₂×C₄×Dic₁₉	1	1	yes	characteristic
343	C₂×C₄	C₂×Dic₁₉⋊C₄	1	2	yes	—
344	C₂×C₄	#10597370	1	2	yes	—
345	C₂×C₄	#10597370	1	1	yes	characteristic
346	C₂×C₄	C₂×C₄⋊Dic₁₉	1	1	yes	characteristic
347	C₂×C₄	#10597372	1	1	yes	characteristic
348	C₂×C₄	#10597372	1	1	yes	characteristic
349	C₂×C₄	C₂×(C₂×D₁₉)⋊C₄	1	2	yes	—
350	C₂×C₄	C₄×C₂²⋊D₁₉	1	2	yes	—
351	C₂×C₄	C₄×C₂²⋊D₁₉	1	2	yes	—
352	C₂×C₄	C₄×C₂²⋊D₁₉	1	2	yes	—
353	C₂×C₄	#10597375	1	2	yes	—
354	C₂×C₄	#10597375	1	2	yes	—
355	C₂×C₄	#10597376	1	2	yes	—
356	C₂×C₄	#10597376	1	1	yes	characteristic
357	C₂×C₄	C₂×C₂²⋊Dic₁₉	1	1	yes	characteristic
358	C₂×C₄	C₂×C₂²⋊Dic₁₉	1	1	yes	characteristic
359	C₂×C₄	#10597399	1	2	yes	—
360	C₈	—	76	4	no	—
361	C₂²	—	2	2	no	—
362	C₂²	—	2	4	no	—
363	C₂²	—	4	1	no	—
364	C₂²	—	4	1	no	—
365	C₂²	—	4	2	no	—
366	C₂²	C₄×C₂²⋊Dic₁₉	1	1	yes	characteristic
367	C₂²	#11926400	1	1	yes	characteristic
368	C₂²	#11926404	1	1	yes	characteristic
369	C₂²	#11926417	1	2	yes	—
370	C₂²	#11926423	1	2	yes	—
371	C₄	—	2	8	no	—
372	C₄	—	4	4	no	—
373	C₄	—	4	4	no	—
374	C₄	—	152	4	no	—
375	C₄	C₂×C₁₉⋊#95	1	1	yes	characteristic
376	C₄	C₄×C₂²⋊Dic₁₉	1	1	yes	characteristic
377	C₄	#11926404	1	1	yes	characteristic
378	C₄	#11926407	1	1	yes	characteristic
379	C₄	#11926417	1	2	yes	—
380	C₄	#11926423	1	2	yes	—
381	C₂	—	2	2	no	—
382	C₂	—	2	1	no	—
383	C₂	—	2	1	no	—
384	C₂	—	2	2	no	—
385	C₂	#14561858	1	1	yes	characteristic
386	C₂	#14563610	1	2	yes	—

	subgroup	G/H
center	C₂²	#11926400
commutator	C₂×C₄×C₁₉	C₂×C₄²
Frattini	C₂³×C₄	C₂²×D₁₉
Fitting	C₂×C₁₉×#519	C₂
socle	C₂²×C₁₉	#379
prime radical	C₂⁴×C₁₉	C₂×D₄
cosocle	C₂³×C₄×C₁₉	C₂³
hypercenter	C₂×#519	D₁₉
hypocenter	C₁₉	#10777
LCS	G ▷ C₂×C₄×C₁₉ ▷ C₂×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂² ◁ C₂³×C₄ ◁ C₂×#519

Complements

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

N	H ≅ G/N	type
9. #11926553	C₄	semidirect
18. C₂×C₄×Q₈×C₁₉	C₄	semidirect
198. C₂×C₄×Q₈	Dic₁₉	semidirect
258. C₁₉	#10777	semidirect

Maximal subgroups

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

subgroup	index
C₂×#11926553	2
#14563374	2
#14563368	2
#14563344	2
C₂×C₁₉×#519	2
#10777	19