Subgroups — #18073943

Order 4864.

954 conjugacy classes of subgroups.

The subgroup lattice has 394 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14564572	C₂	1	1	yes	maximal, characteristic, complemented
2	#14562022	C₂	1	2	yes	maximal, complemented
3	#14562017	C₂	1	2	yes	maximal, complemented
4	#14561959	C₂	1	1	yes	maximal, characteristic, complemented
5	C₄×C₁₉×2₋¹⁺⁴	C₂	1	1	yes	maximal, characteristic
6	#11926597	C₂²	1	2	yes	—
7	C₂×C₄⋊(C₁₉⋊C₈)	C₂²	1	1	yes	characteristic
8	C₂×C₄×C₁₉⋊C₈	C₂²	1	1	yes	characteristic
9	#11926299	—	2	2	no	—
10	Q₈⋊(C₁₉⋊C₈)	—	2	2	no	—
11	Q₈⋊(C₁₉⋊C₈)	—	2	2	no	—
12	D₄⋊(C₁₉⋊C₈)	—	2	2	no	—
13	D₄⋊(C₁₉⋊C₈)	—	2	2	no	—
14	#11926270	—	2	2	no	—
15	C₂×C₁₉×2₋¹⁺⁴	C₄	1	1	yes	characteristic
16	C₁₉×#520	—	2	2	no	—
17	C₁₉×#520	—	2	2	no	—
18	C₁₉×#520	C₄	1	2	yes	—
19	C₁₉×#519	—	2	2	no	—
20	C₁₉×#519	C₄	1	1	yes	characteristic
21	C₄×#41×C₁₉	—	2	2	no	—
22	C₄×#41×C₁₉	—	2	2	no	—
23	C₄×#41×C₁₉	C₂²	1	2	yes	—
24	C₂×C₄×Q₈×C₁₉	—	2	2	no	—
25	C₂×C₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
26	C₁₉×2₋¹⁺⁴	—	2	4	no	—
27	C₁₉×2₋¹⁺⁴	—	2	2	no	—
28	C₁₉×2₋¹⁺⁴	C₈	1	4	yes	complemented
29	C₂×#41×C₁₉	—	2	2	no	—
30	C₂×#41×C₁₉	—	2	2	no	—
31	C₂×#41×C₁₉	C₂×C₄	1	2	yes	—
32	C₂²×Q₈×C₁₉	—	2	2	no	—
33	C₂²×Q₈×C₁₉	C₂×C₄	1	1	yes	characteristic
34	C₄×Q₈×C₁₉	—	2	2	no	—
35	C₄×Q₈×C₁₉	—	2	4	no	—
36	C₄×Q₈×C₁₉	—	2	2	no	—
37	C₄×Q₈×C₁₉	—	2	2	no	—
38	C₄×Q₈×C₁₉	—	2	2	no	—
39	C₄×Q₈×C₁₉	—	2	2	no	—
40	C₄×Q₈×C₁₉	—	2	2	no	—
41	C₄×Q₈×C₁₉	—	2	2	no	—
42	C₄×Q₈×C₁₉	D₄	1	2	yes	—
43	C₄×Q₈×C₁₉	D₄	1	2	yes	—
44	C₄×D₄×C₁₉	—	2	2	no	—
45	C₄×D₄×C₁₉	—	2	4	no	—
46	C₄×D₄×C₁₉	—	2	2	no	—
47	C₄×D₄×C₁₉	—	2	2	no	—
48	C₄×D₄×C₁₉	—	2	4	no	—
49	C₄×D₄×C₁₉	—	2	2	no	—
50	C₄×D₄×C₁₉	—	2	2	no	—
51	C₄×D₄×C₁₉	D₄	1	2	yes	—
52	C₄×D₄×C₁₉	D₄	1	2	yes	—
53	C₁₉×#117	—	2	4	no	—
54	C₁₉×#117	—	2	4	no	—
55	C₁₉×#117	—	2	2	no	—
56	C₁₉×#117	—	2	2	no	—
57	C₁₉×#117	—	2	2	no	—
58	C₁₉×#117	C₂×C₄	1	2	yes	—
59	C₂×C₄⋊C₄×C₁₉	—	2	4	no	—
60	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
61	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	1	yes	characteristic
62	C₂×C₄⋊C₄×C₁₉	D₄	1	2	yes	—
63	C₂×C₄²×C₁₉	—	2	4	no	—
64	C₂×C₄²×C₁₉	—	2	2	no	—
65	C₂×C₄²×C₁₉	D₄	1	2	yes	—
66	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
67	C₂²×C₁₉⋊C₈	—	2	1	no	—
68	C₂²×C₁₉⋊C₈	—	2	1	no	—
69	C₂²⋊(C₁₉⋊C₈)	—	2	2	no	—
70	C₄⋊(C₁₉⋊C₈)	—	2	2	no	—
71	C₄⋊(C₁₉⋊C₈)	—	2	2	no	—
72	C₄×C₁₉⋊C₈	—	2	2	no	—
73	C₄×C₁₉⋊C₈	—	2	2	no	—
74	#41×C₁₉	—	2	8	no	—
75	#41×C₁₉	—	2	8	no	—
76	#41×C₁₉	—	2	8	no	—
77	#41×C₁₉	—	2	8	no	—
78	#41×C₁₉	—	2	2	no	—
79	#41×C₁₉	—	2	2	no	—
80	#41×C₁₉	C₂×C₈	1	4	yes	—
81	#41×C₁₉	M₁₆	1	4	yes	—
82	C₂×Q₈×C₁₉	—	2	2	no	—
83	C₂×Q₈×C₁₉	—	2	8	no	—
84	C₂×Q₈×C₁₉	—	2	8	no	—
85	C₂×Q₈×C₁₉	—	2	2	no	—
86	C₂×Q₈×C₁₉	—	2	2	no	—
87	C₂×Q₈×C₁₉	C₂²⋊C₄	1	2	yes	—
88	C₂×Q₈×C₁₉	C₂×C₈	1	2	yes	—
89	C₂×Q₈×C₁₉	M₁₆	1	2	yes	—
90	C₂×D₄×C₁₉	—	2	2	no	—
91	C₂×D₄×C₁₉	—	2	2	no	—
92	C₂×D₄×C₁₉	C₂²⋊C₄	1	2	yes	—
93	C₂²×C₄×C₁₉	—	2	4	no	—
94	C₂²×C₄×C₁₉	—	2	2	no	—
95	C₂²×C₄×C₁₉	—	2	4	no	—
96	C₂²×C₄×C₁₉	—	2	2	no	—
97	C₂²×C₄×C₁₉	—	2	2	no	—
98	C₂²×C₄×C₁₉	C₂²⋊C₄	1	2	yes	—
99	C₂²×C₄×C₁₉	C₂²⋊C₄	1	2	yes	—
100	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
101	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
102	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
103	C₄⋊C₄×C₁₉	—	2	4	no	—
104	C₄⋊C₄×C₁₉	—	2	2	no	—
105	C₄⋊C₄×C₁₉	—	2	2	no	—
106	C₄⋊C₄×C₁₉	—	2	2	no	—
107	C₄⋊C₄×C₁₉	—	2	2	no	—
108	C₄⋊C₄×C₁₉	—	2	4	no	—
109	C₄⋊C₄×C₁₉	—	2	2	no	—
110	C₄⋊C₄×C₁₉	C₂²⋊C₄	1	2	yes	—
111	C₄⋊C₄×C₁₉	C₂²⋊C₄	1	2	yes	—
112	C₂²⋊C₄×C₁₉	—	2	4	no	—
113	C₂²⋊C₄×C₁₉	—	2	2	no	—
114	C₂²⋊C₄×C₁₉	—	2	2	no	—
115	C₂²⋊C₄×C₁₉	—	2	2	no	—
116	C₄²×C₁₉	—	2	4	no	—
117	C₄²×C₁₉	—	2	4	no	—
118	C₄²×C₁₉	—	2	2	no	—
119	C₄²×C₁₉	—	2	2	no	—
120	C₄²×C₁₉	—	2	2	no	—
121	C₄²×C₁₉	—	2	2	no	—
122	C₄²×C₁₉	—	2	2	no	—
123	C₄²×C₁₉	C₂×D₄	1	2	yes	—
124	C₄²×C₁₉	C₂×D₄	1	2	yes	—
125	C₂×C₁₉⋊C₈	—	2	2	no	—
126	C₂×C₁₉⋊C₈	—	4	1	no	—
127	C₂×C₁₉⋊C₈	—	4	1	no	—
128	C₂×C₁₉⋊C₈	—	4	2	no	—
129	C₂×C₁₉⋊C₈	—	4	2	no	—
130	C₂×C₁₉⋊C₈	—	4	1	no	—
131	#8319	—	19	1	no	maximal, Sylow
132	C₂³×C₁₉	—	2	2	no	—
133	C₂³×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
134	Q₈×C₁₉	—	2	8	no	—
135	Q₈×C₁₉	—	2	4	no	—
136	Q₈×C₁₉	—	2	2	no	—
137	Q₈×C₁₉	—	2	4	no	—
138	Q₈×C₁₉	C₂²⋊C₈	1	4	yes	—
139	D₄×C₁₉	—	2	8	no	—
140	D₄×C₁₉	—	2	4	no	—
141	D₄×C₁₉	—	2	4	no	—
142	D₄×C₁₉	—	2	2	no	—
143	D₄×C₁₉	C₂²⋊C₈	1	4	yes	—
144	C₂×C₄×C₁₉	—	2	16	no	—
145	C₂×C₄×C₁₉	—	2	2	no	—
146	C₂×C₄×C₁₉	—	2	2	no	—
147	C₂×C₄×C₁₉	—	2	2	no	—
148	C₂×C₄×C₁₉	—	2	4	no	—
149	C₂×C₄×C₁₉	—	2	4	no	—
150	C₂×C₄×C₁₉	—	2	1	no	—
151	C₂×C₄×C₁₉	—	2	1	no	—
152	C₂×C₄×C₁₉	—	2	2	no	—
153	C₂×C₄×C₁₉	—	2	2	no	—
154	C₂×C₄×C₁₉	—	2	2	no	—
155	C₂×C₄×C₁₉	—	4	1	no	—
156	C₂×C₄×C₁₉	—	4	2	no	—
157	C₂×C₄×C₁₉	—	4	2	no	—
158	C₂×C₄×C₁₉	—	4	2	no	—
159	C₂×C₄×C₁₉	—	8	2	no	—
160	C₂×C₄×C₁₉	—	8	4	no	—
161	C₂×C₄×C₁₉	C₂²⋊C₈	1	4	yes	—
162	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	2	yes	—
163	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
164	C₂×C₄×C₁₉	#120	1	2	yes	—
165	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
166	C₂×C₄×C₁₉	C₂²×C₈	1	1	yes	characteristic
167	C₂×C₄×C₁₉	C₂×M₁₆	1	2	yes	—
168	C₂×C₄×C₁₉	C₂×M₁₆	1	1	yes	characteristic
169	C₁₉⋊C₈	—	4	2	no	—
170	C₁₉⋊C₈	—	8	2	no	—
171	C₁₉⋊C₈	—	8	1	no	—
172	C₄×2₋¹⁺⁴	D₁₉	1	1	yes	characteristic
173	#1984	—	19	1	no	—
174	#1477	—	19	2	no	—
175	#1476	—	19	2	no	—
176	#1461	—	19	1	no	—
177	C₂²×C₁₉	—	2	1	no	—
178	C₂²×C₁₉	—	2	1	no	—
179	C₂²×C₁₉	—	2	4	no	—
180	C₂²×C₁₉	—	4	2	no	—
181	C₂²×C₁₉	—	4	2	no	—
182	C₂²×C₁₉	#379	1	1	yes	characteristic
183	C₂²×C₁₉	C₂×C₂²⋊C₈	1	1	yes	characteristic
184	C₂²×C₁₉	#407	1	1	yes	characteristic
185	C₄×C₁₉	—	2	1	no	—
186	C₄×C₁₉	—	2	2	no	—
187	C₄×C₁₉	—	2	4	no	—
188	C₄×C₁₉	—	2	4	no	—
189	C₄×C₁₉	—	4	2	no	—
190	C₄×C₁₉	—	4	2	no	—
191	C₄×C₁₉	—	4	2	no	—
192	C₄×C₁₉	C₂×C₂²⋊C₈	1	2	yes	—
193	C₄×C₁₉	#407	1	2	yes	—
194	C₄×C₁₉	#454	1	1	yes	characteristic
195	C₄×C₁₉	#456	1	1	yes	characteristic
196	C₂×2₋¹⁺⁴	Dic₁₉	1	1	yes	characteristic
197	#520	—	2	2	no	—
198	#520	—	2	2	no	—
199	#520	Dic₁₉	1	2	yes	—
200	#519	—	2	2	no	—
201	#519	Dic₁₉	1	1	yes	characteristic
202	C₄×#41	—	2	2	no	—
203	C₄×#41	—	2	2	no	—
204	C₄×#41	C₂×D₁₉	1	2	yes	—
205	C₂×C₄×Q₈	—	2	2	no	—
206	C₂×C₄×Q₈	C₂×D₁₉	1	1	yes	characteristic
207	#431	—	19	2	no	—
208	C₂×C₄⋊C₈	—	19	1	no	—
209	C₂×C₄×C₈	—	19	1	no	—
210	#336	—	38	2	no	—
211	Q₈⋊C₈	—	38	2	no	—
212	Q₈⋊C₈	—	38	2	no	—
213	D₄⋊C₈	—	38	2	no	—
214	D₄⋊C₈	—	38	2	no	—
215	#324	—	38	2	no	—
216	C₂×C₁₉	—	2	1	no	—
217	C₂×C₁₉	—	2	1	no	—
218	C₂×C₁₉	—	4	4	no	—
219	C₂×C₁₉	#1779	1	1	yes	characteristic
220	C₂×C₁₉	#1793	1	1	yes	characteristic
221	C₂×C₁₉	#1794	1	1	yes	characteristic
222	2₋¹⁺⁴	—	2	4	no	—
223	2₋¹⁺⁴	—	2	2	no	—
224	2₋¹⁺⁴	C₁₉⋊C₈	1	4	yes	complemented
225	C₂×#41	—	2	2	no	—
226	C₂×#41	—	2	2	no	—
227	C₂×#41	C₂×Dic₁₉	1	2	yes	—
228	C₂²×Q₈	—	2	2	no	—
229	C₂²×Q₈	C₂×Dic₁₉	1	1	yes	characteristic
230	C₂²×C₈	—	38	1	no	—
231	C₂²×C₈	—	38	1	no	—
232	C₄×Q₈	—	2	2	no	—
233	C₄×Q₈	—	2	4	no	—
234	C₄×Q₈	—	2	2	no	—
235	C₄×Q₈	—	2	2	no	—
236	C₄×Q₈	—	2	2	no	—
237	C₄×Q₈	—	2	2	no	—
238	C₄×Q₈	—	2	2	no	—
239	C₄×Q₈	—	2	2	no	—
240	C₄×Q₈	C₂²⋊D₁₉	1	2	yes	—
241	C₄×Q₈	C₂²⋊D₁₉	1	2	yes	—
242	C₄×D₄	—	2	2	no	—
243	C₄×D₄	—	2	4	no	—
244	C₄×D₄	—	2	2	no	—
245	C₄×D₄	—	2	2	no	—
246	C₄×D₄	—	2	4	no	—
247	C₄×D₄	—	2	2	no	—
248	C₄×D₄	—	2	2	no	—
249	C₄×D₄	C₂²⋊D₁₉	1	2	yes	—
250	C₄×D₄	C₂²⋊D₁₉	1	2	yes	—
251	#117	—	2	4	no	—
252	#117	—	2	4	no	—
253	#117	—	2	2	no	—
254	#117	—	2	2	no	—
255	#117	—	2	2	no	—
256	#117	C₂×Dic₁₉	1	2	yes	—
257	C₂×C₄⋊C₄	—	2	4	no	—
258	C₂×C₄⋊C₄	—	2	2	no	—
259	C₂×C₄⋊C₄	C₂×Dic₁₉	1	1	yes	characteristic
260	C₂×C₄⋊C₄	C₂²⋊D₁₉	1	2	yes	—
261	C₂×C₄²	—	2	4	no	—
262	C₂×C₄²	—	2	2	no	—
263	C₂×C₄²	C₂²⋊D₁₉	1	2	yes	—
264	C₂×C₄²	C₂²×D₁₉	1	1	yes	characteristic
265	C₄⋊C₈	—	38	2	no	—
266	C₄⋊C₈	—	38	2	no	—
267	C₂²⋊C₈	—	38	2	no	—
268	C₄×C₈	—	38	2	no	—
269	C₄×C₈	—	38	2	no	—
270	C₁₉	#8319	1	1	yes	characteristic, complemented, Sylow
271	#41	—	2	8	no	—
272	#41	—	2	8	no	—
273	#41	—	2	8	no	—
274	#41	—	2	8	no	—
275	#41	—	2	2	no	—
276	#41	—	2	2	no	—
277	#41	C₂×C₁₉⋊C₈	1	4	yes	—
278	#41	#64520	1	4	yes	—
279	C₂×Q₈	—	2	2	no	—
280	C₂×Q₈	—	2	8	no	—
281	C₂×Q₈	—	2	8	no	—
282	C₂×Q₈	—	2	2	no	—
283	C₂×Q₈	—	2	2	no	—
284	C₂×Q₈	C₂×C₁₉⋊C₈	1	2	yes	—
285	C₂×Q₈	#64520	1	2	yes	—
286	C₂×Q₈	C₂²⋊Dic₁₉	1	2	yes	—
287	C₂×D₄	—	2	2	no	—
288	C₂×D₄	—	2	2	no	—
289	C₂×D₄	C₂²⋊Dic₁₉	1	2	yes	—
290	C₂²×C₄	—	2	4	no	—
291	C₂²×C₄	—	2	2	no	—
292	C₂²×C₄	—	2	4	no	—
293	C₂²×C₄	—	2	2	no	—
294	C₂²×C₄	—	2	2	no	—
295	C₂²×C₄	C₂²⋊Dic₁₉	1	2	yes	—
296	C₂²×C₄	C₂²⋊Dic₁₉	1	2	yes	—
297	C₂²×C₄	C₂²×Dic₁₉	1	1	yes	characteristic
298	C₂²×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
299	C₂²×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
300	C₂×C₈	—	38	2	no	—
301	C₂×C₈	—	76	1	no	—
302	C₂×C₈	—	76	1	no	—
303	C₂×C₈	—	76	2	no	—
304	C₂×C₈	—	76	2	no	—
305	C₂×C₈	—	76	1	no	—
306	C₄⋊C₄	—	2	4	no	—
307	C₄⋊C₄	—	2	2	no	—
308	C₄⋊C₄	—	2	2	no	—
309	C₄⋊C₄	—	2	2	no	—
310	C₄⋊C₄	—	2	2	no	—
311	C₄⋊C₄	—	2	4	no	—
312	C₄⋊C₄	—	2	2	no	—
313	C₄⋊C₄	C₂²⋊Dic₁₉	1	2	yes	—
314	C₄⋊C₄	C₂²⋊Dic₁₉	1	2	yes	—
315	C₂²⋊C₄	—	2	4	no	—
316	C₂²⋊C₄	—	2	2	no	—
317	C₂²⋊C₄	—	2	2	no	—
318	C₂²⋊C₄	—	2	2	no	—
319	C₄²	—	2	4	no	—
320	C₄²	—	2	4	no	—
321	C₄²	—	2	2	no	—
322	C₄²	—	2	2	no	—
323	C₄²	—	2	2	no	—
324	C₄²	—	2	2	no	—
325	C₄²	—	2	2	no	—
326	C₄²	C₂×C₂²⋊D₁₉	1	2	yes	—
327	C₄²	C₂×C₂²⋊D₁₉	1	2	yes	—
328	C₂³	—	2	2	no	—
329	C₂³	C₂×C₂²⋊Dic₁₉	1	1	yes	characteristic
330	Q₈	—	2	8	no	—
331	Q₈	—	2	4	no	—
332	Q₈	—	2	4	no	—
333	Q₈	—	2	2	no	—
334	Q₈	C₂²⋊(C₁₉⋊C₈)	1	4	yes	—
335	D₄	—	2	8	no	—
336	D₄	—	2	4	no	—
337	D₄	—	2	4	no	—
338	D₄	—	2	2	no	—
339	D₄	C₂²⋊(C₁₉⋊C₈)	1	4	yes	—
340	C₂×C₄	—	2	16	no	—
341	C₂×C₄	—	2	2	no	—
342	C₂×C₄	—	2	2	no	—
343	C₂×C₄	—	2	2	no	—
344	C₂×C₄	—	2	1	no	—
345	C₂×C₄	—	2	1	no	—
346	C₂×C₄	—	2	4	no	—
347	C₂×C₄	—	2	4	no	—
348	C₂×C₄	—	2	2	no	—
349	C₂×C₄	—	2	2	no	—
350	C₂×C₄	—	2	2	no	—
351	C₂×C₄	—	4	1	no	—
352	C₂×C₄	—	4	2	no	—
353	C₂×C₄	—	4	2	no	—
354	C₂×C₄	—	4	2	no	—
355	C₂×C₄	—	8	2	no	—
356	C₂×C₄	—	8	4	no	—
357	C₂×C₄	C₂²⋊(C₁₉⋊C₈)	1	4	yes	—
358	C₂×C₄	C₂²×C₁₉⋊C₈	1	1	yes	characteristic
359	C₂×C₄	C₂×#64520	1	2	yes	—
360	C₂×C₄	C₂×#64520	1	1	yes	characteristic
361	C₂×C₄	C₂×C₂²⋊Dic₁₉	1	2	yes	—
362	C₂×C₄	#10597399	1	1	yes	characteristic
363	C₂×C₄	#10597399	1	2	yes	—
364	C₂×C₄	#10597399	1	1	yes	characteristic
365	C₈	—	76	2	no	—
366	C₈	—	152	2	no	—
367	C₈	—	152	1	no	—
368	C₂²	—	2	1	no	—
369	C₂²	—	2	1	no	—
370	C₂²	—	2	4	no	—
371	C₂²	—	4	2	no	—
372	C₂²	—	4	2	no	—
373	C₂²	#11926400	1	1	yes	characteristic
374	C₂²	C₂×C₂²⋊(C₁₉⋊C₈)	1	1	yes	characteristic
375	C₂²	#11926508	1	1	yes	characteristic
376	C₄	—	2	1	no	—
377	C₄	—	2	2	no	—
378	C₄	—	2	4	no	—
379	C₄	—	2	4	no	—
380	C₄	—	4	2	no	—
381	C₄	—	4	2	no	—
382	C₄	—	4	2	no	—
383	C₄	C₂×C₂²⋊(C₁₉⋊C₈)	1	2	yes	—
384	C₄	#11926508	1	2	yes	—
385	C₄	#11926717	1	1	yes	characteristic
386	C₄	#11926727	1	1	yes	characteristic
387	C₂	—	2	1	no	—
388	C₂	—	2	1	no	—
389	C₂	—	4	4	no	—
390	C₂	#14563545	1	1	yes	characteristic
391	C₂	#14563594	1	1	yes	characteristic
392	C₂	#14563599	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	#10597399
commutator	C₂×C₄×C₁₉	C₂²×C₈
Frattini	C₂×C₄²	C₂²×D₁₉
Fitting	C₄×C₁₉×2₋¹⁺⁴	C₂
socle	C₂²×C₁₉	#379
prime radical	C₂×C₁₉×2₋¹⁺⁴	C₄
cosocle	C₂×C₄²×C₁₉	C₂³
hypercenter	C₄×2₋¹⁺⁴	D₁₉
hypocenter	C₁₉	#8319
LCS	G ▷ C₂×C₄×C₁₉ ▷ C₂×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ C₄×2₋¹⁺⁴

Complements

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

N	H ≅ G/N	type
1. #14564572	C₂	semidirect
2. #14562022	C₂	semidirect
3. #14562017	C₂	semidirect
4. #14561959	C₂	semidirect
28. C₁₉×2₋¹⁺⁴	C₈	semidirect
224. 2₋¹⁺⁴	C₁₉⋊C₈	semidirect
270. C₁₉	#8319	semidirect

Maximal subgroups

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

subgroup	index
#14564572	2
#14562022	2
#14562017	2
#14561959	2
C₄×C₁₉×2₋¹⁺⁴	2
#8319	19