Subgroups — #18078439

Order 4864.

516 conjugacy classes of subgroups.

The subgroup lattice has 426 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14573115	C₂	1	1	yes	maximal, characteristic
2	#14562304	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#11926287	C₂	1	1	yes	maximal, characteristic, complemented
4	#14562022	C₂	1	1	yes	maximal, characteristic, complemented
5	#14561532	C₂	1	1	yes	maximal, characteristic, complemented
6	#14561509	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#2925	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#10597395	—	2	1	no	—
9	C₂×#10597320	C₂²	1	1	yes	characteristic
10	#11926744	—	2	1	no	—
11	#11926744	C₄	1	2	yes	—
12	#11926739	—	2	1	no	—
13	#11926739	C₄	1	2	yes	—
14	#11926597	C₂²	1	1	yes	characteristic
15	#11926568	C₂²	1	1	yes	characteristic
16	C₂×C₄⋊(C₁₉⋊C₈)	C₂²	1	1	yes	characteristic
17	#11926548	—	2	1	no	—
18	#11926287	—	2	2	no	—
19	#11926287	—	2	1	no	—
20	#11926287	—	2	1	no	—
21	Q₈⋊(C₁₉⋊C₈)	—	2	1	no	—
22	D₄⋊(C₁₉⋊C₈)	—	2	1	no	—
23	C₄×#41×C₁₉	C₂²	1	1	yes	characteristic
24	C₁₉×#433	—	2	2	no	—
25	C₁₉×#432	—	2	1	no	—
26	C₁₉×#431	—	2	1	no	—
27	C₁₉×#423	C₂²	1	1	yes	characteristic
28	C₂×C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
29	C₁₉×#408	—	2	1	no	—
30	C₁₉×#405	—	2	1	no	—
31	C₂×#41×C₁₉	D₄	1	1	yes	characteristic
32	C₂²×D₇₆	—	2	1	no	—
33	C₂²×D₇₆	—	2	1	no	—
34	C₂²×D₇₆	—	2	1	no	—
35	C₂×M₁₆×C₁₉	—	2	1	no	—
36	C₂²×C₈×C₁₉	—	2	1	no	—
37	C₄×Q₈×C₁₉	C₂×C₄	1	1	yes	characteristic
38	C₄×Q₈×C₁₉	D₄	1	1	yes	characteristic
39	C₄×D₄×C₁₉	—	2	1	no	—
40	C₄×D₄×C₁₉	—	2	1	no	—
41	C₄×D₄×C₁₉	C₂×C₄	1	1	yes	characteristic
42	C₄×D₄×C₁₉	D₄	1	1	yes	characteristic
43	C₁₉×#117	—	2	1	no	—
44	C₁₉×#117	D₄	1	1	yes	characteristic
45	C₂×C₄²×C₁₉	—	2	1	no	—
46	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
47	#10597395	—	4	2	no	—
48	#10597395	—	4	2	no	—
49	C₂×#64527	—	2	2	no	—
50	C₂×#64525	—	2	2	no	—
51	C₂×#64520	—	2	1	no	—
52	C₂²×C₁₉⋊C₈	—	2	1	no	—
53	#10597320	—	2	1	no	—
54	#10597320	—	2	1	no	—
55	#10597320	—	2	1	no	—
56	#10597320	C₂×C₄	1	2	yes	—
57	C₁₉×C₄⋊C₈	—	2	1	no	—
58	C₁₉×C₄⋊C₈	—	2	1	no	—
59	C₁₉×C₄⋊C₈	D₄	1	1	yes	characteristic
60	C₁₉×C₄⋊C₈	D₄	1	1	yes	characteristic
61	C₁₉×C₄⋊C₈	D₄	1	2	yes	—
62	C₁₉×C₂²⋊C₈	—	2	2	no	—
63	C₁₉×C₂²⋊C₈	—	2	2	no	—
64	C₁₉×#97	—	2	2	no	—
65	C₄×C₈×C₁₉	—	2	2	no	—
66	C₂²⋊(C₁₉⋊C₈)	—	2	1	no	—
67	#10597266	—	2	2	no	—
68	#10597266	—	2	2	no	—
69	C₄⋊(C₁₉⋊C₈)	—	2	1	no	—
70	C₄⋊(C₁₉⋊C₈)	—	2	1	no	—
71	C₄⋊(C₁₉⋊C₈)	—	2	1	no	—
72	C₄⋊(C₁₉⋊C₈)	—	2	1	no	—
73	C₄⋊(C₁₉⋊C₈)	C₂×C₄	1	2	yes	—
74	C₄×C₁₉⋊C₈	—	2	1	no	—
75	C₂³×D₁₉	—	4	1	no	—
76	#41×C₁₉	—	2	1	no	—
77	#41×C₁₉	—	2	1	no	—
78	#41×C₁₉	—	2	1	no	—
79	#41×C₁₉	—	2	1	no	—
80	C₂×Q₈×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
81	C₂×D₄×C₁₉	—	2	1	no	—
82	C₂×D₄×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
83	C₂²×C₄×C₁₉	—	2	1	no	—
84	C₂²×C₄×C₁₉	—	2	1	no	—
85	C₂²×C₄×C₁₉	—	2	1	no	—
86	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
87	C₂²×C₄×C₁₉	#41	1	1	yes	characteristic
88	C₂²×C₄×C₁₉	#41	1	1	yes	characteristic
89	C₂×D₇₆	—	2	2	no	—
90	C₂×D₇₆	—	2	2	no	—
91	C₂×D₇₆	—	2	2	no	—
92	C₂×D₇₆	—	4	1	no	—
93	C₂×D₇₆	—	4	1	no	—
94	C₂×D₇₆	—	4	1	no	—
95	C₂×D₇₆	—	4	1	no	—
96	C₂×D₇₆	—	4	1	no	—
97	C₂×D₇₆	—	4	1	no	—
98	C₂×D₇₆	—	4	1	no	—
99	C₂×D₇₆	—	8	2	no	—
100	C₂×D₇₆	—	8	1	no	—
101	C₂×D₇₆	—	8	1	no	—
102	M₁₆×C₁₉	—	4	1	no	—
103	M₁₆×C₁₉	—	4	1	no	—
104	C₂×C₈×C₁₉	—	2	1	no	—
105	C₂×C₈×C₁₉	—	2	1	no	—
106	C₂×C₈×C₁₉	—	2	2	no	—
107	C₂×C₈×C₁₉	—	4	1	no	—
108	C₂×C₈×C₁₉	—	4	1	no	—
109	C₄⋊C₄×C₁₉	—	2	1	no	—
110	C₄⋊C₄×C₁₉	—	2	1	no	—
111	C₄⋊C₄×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
112	C₄⋊C₄×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
113	C₂²⋊C₄×C₁₉	—	2	1	no	—
114	C₂²⋊C₄×C₁₉	—	2	1	no	—
115	C₂²⋊C₄×C₁₉	—	2	1	no	—
116	C₄²×C₁₉	—	2	1	no	—
117	C₄²×C₁₉	—	2	1	no	—
118	C₄²×C₁₉	—	2	1	no	—
119	C₄²×C₁₉	C₂²×C₄	1	1	yes	characteristic
120	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
121	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
122	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
123	#64527	—	4	4	no	—
124	#64525	—	4	4	no	—
125	#64520	—	4	1	no	—
126	#64520	—	4	1	no	—
127	C₂×C₁₉⋊C₈	—	2	2	no	—
128	C₂×C₁₉⋊C₈	—	4	1	no	—
129	C₂×C₁₉⋊C₈	—	4	1	no	—
130	C₂×C₁₉⋊C₈	—	8	1	no	—
131	#9174	—	19	1	no	maximal, Sylow
132	C₂³×C₁₉	—	2	1	no	—
133	C₂³×C₁₉	#123	1	1	yes	characteristic
134	C₂²×D₁₉	—	4	2	no	—
135	C₂²×D₁₉	—	8	2	no	—
136	C₂²×D₁₉	—	8	2	no	—
137	C₂²×D₁₉	—	8	1	no	—
138	C₂²×D₁₉	—	8	1	no	—
139	Q₈×C₁₉	—	2	1	no	—
140	Q₈×C₁₉	—	2	1	no	—
141	D₄×C₁₉	—	2	1	no	—
142	D₄×C₁₉	—	2	1	no	—
143	D₄×C₁₉	—	4	1	no	—
144	D₄×C₁₉	—	4	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	—	2	1	no	—
149	C₂×C₄×C₁₉	—	2	1	no	—
150	C₂×C₄×C₁₉	—	4	1	no	—
151	C₂×C₄×C₁₉	—	4	1	no	—
152	C₂×C₄×C₁₉	—	4	1	no	—
153	C₂×C₄×C₁₉	—	4	1	no	—
154	C₂×C₄×C₁₉	—	4	1	no	—
155	C₂×C₄×C₁₉	—	8	1	no	—
156	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
157	C₂×C₄×C₁₉	C₄×D₄	1	1	yes	characteristic
158	C₂×C₄×C₁₉	C₄×D₄	1	1	yes	characteristic
159	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
160	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
161	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
162	C₂×C₄×C₁₉	#135	1	1	yes	characteristic
163	C₂×C₄×C₁₉	#135	1	1	yes	characteristic
164	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
165	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
166	D₇₆	—	4	2	no	—
167	D₇₆	—	4	2	no	—
168	D₇₆	—	8	2	no	—
169	D₇₆	—	8	2	no	—
170	D₇₆	—	8	2	no	—
171	D₇₆	—	8	1	no	—
172	D₇₆	—	8	1	no	—
173	D₇₆	—	8	1	no	—
174	D₇₆	—	8	1	no	—
175	C₈×C₁₉	—	4	1	no	—
176	C₈×C₁₉	—	4	1	no	—
177	C₈×C₁₉	—	4	2	no	—
178	C₁₉⋊C₈	—	4	2	no	—
179	C₁₉⋊C₈	—	8	1	no	—
180	C₁₉⋊C₈	—	8	1	no	—
181	#3038	—	19	1	no	—
182	#2925	D₁₉	1	1	yes	characteristic, complemented
183	#1545	—	19	1	no	—
184	C₂×#331	—	19	1	no	—
185	#1477	—	19	1	no	—
186	#1301	—	19	1	no	—
187	#1292	—	19	1	no	—
188	C₂²×C₁₉	—	2	1	no	—
189	C₂²×C₁₉	—	2	1	no	—
190	C₂²×C₁₉	—	4	1	no	—
191	C₂²×C₁₉	—	4	1	no	—
192	C₂²×C₁₉	—	4	1	no	—
193	C₂²×C₁₉	#386	1	1	yes	characteristic
194	C₂²×C₁₉	#482	1	1	yes	characteristic
195	C₂²×C₁₉	#482	1	1	yes	characteristic
196	C₂×D₁₉	—	8	2	no	—
197	C₂×D₁₉	—	8	2	no	—
198	C₂×D₁₉	—	8	2	no	—
199	C₂×D₁₉	—	16	2	no	—
200	C₂×D₁₉	—	16	2	no	—
201	C₄×C₁₉	—	2	1	no	—
202	C₄×C₁₉	—	2	1	no	—
203	C₄×C₁₉	—	2	1	no	—
204	C₄×C₁₉	—	4	1	no	—
205	C₄×C₁₉	—	4	1	no	—
206	C₄×C₁₉	—	4	1	no	—
207	C₄×C₁₉	#416	1	1	yes	characteristic
208	C₄×C₁₉	#418	1	1	yes	characteristic
209	C₄×C₁₉	#449	1	1	yes	characteristic
210	C₄×C₁₉	#449	1	1	yes	characteristic
211	C₄×C₁₉	#471	1	1	yes	characteristic
212	C₄×C₁₉	#472	1	1	yes	characteristic
213	C₂×AGL(1,ℤ/8)	—	38	1	no	—
214	C₂×#127	—	19	1	no	—
215	C₄×#41	C₂×D₁₉	1	1	yes	characteristic
216	#460	—	19	2	no	—
217	#460	—	38	1	no	—
218	#459	—	19	2	no	—
219	#459	—	38	1	no	—
220	#433	—	2	2	no	—
221	#432	—	2	1	no	—
222	#431	—	2	1	no	—
223	#431	—	19	1	no	—
224	#423	—	19	1	no	—
225	#423	C₂×D₁₉	1	1	yes	characteristic
226	C₂×C₄⋊C₈	—	19	1	no	—
227	C₂×C₄⋊C₈	C₂×D₁₉	1	1	yes	characteristic
228	#418	—	38	1	no	—
229	#408	—	2	1	no	—
230	#405	—	2	1	no	—
231	#331	—	38	1	no	—
232	#331	—	38	1	no	—
233	#331	—	38	2	no	—
234	Q₈⋊C₈	—	38	1	no	—
235	D₄⋊C₈	—	38	1	no	—
236	C₂×C₁₉	—	2	1	no	—
237	C₂×C₁₉	—	2	1	no	—
238	C₂×C₁₉	—	8	1	no	—
239	C₂×C₁₉	#1875	1	1	yes	characteristic
240	C₂×C₁₉	#1903	1	1	yes	characteristic
241	C₂×C₁₉	#1907	1	1	yes	characteristic
242	D₁₉	—	16	2	no	—
243	C₂×#41	C₂²⋊D₁₉	1	1	yes	characteristic
244	C₂²×D₄	—	38	1	no	—
245	C₂²×D₄	—	38	1	no	—
246	C₂²×D₄	—	38	1	no	—
247	AGL(1,ℤ/8)	—	76	2	no	—
248	AGL(1,ℤ/8)	—	76	2	no	—
249	C₂×SD₁₆	—	38	2	no	—
250	C₂×D₈	—	38	2	no	—
251	C₂×M₁₆	—	2	1	no	—
252	C₂×M₁₆	—	38	1	no	—
253	C₂²×C₈	—	2	1	no	—
254	C₂²×C₈	—	38	1	no	—
255	#127	—	19	2	no	—
256	#127	—	38	1	no	—
257	#127	—	38	1	no	—
258	#127	—	38	1	no	—
259	C₄×Q₈	C₄×D₁₉	1	1	yes	characteristic
260	C₄×Q₈	D₇₆	1	1	yes	characteristic
261	C₄×D₄	—	2	1	no	—
262	C₄×D₄	—	2	1	no	—
263	C₄×D₄	C₄×D₁₉	1	1	yes	characteristic
264	C₄×D₄	D₇₆	1	1	yes	characteristic
265	#117	—	2	1	no	—
266	#117	C₂²⋊D₁₉	1	1	yes	characteristic
267	C₂×C₄²	—	2	1	no	—
268	C₂×C₄²	C₂²×D₁₉	1	1	yes	characteristic
269	C₄⋊C₈	—	2	1	no	—
270	C₄⋊C₈	—	2	1	no	—
271	C₄⋊C₈	—	19	2	no	—
272	C₄⋊C₈	—	38	1	no	—
273	C₄⋊C₈	—	38	1	no	—
274	C₄⋊C₈	—	38	1	no	—
275	C₄⋊C₈	—	38	1	no	—
276	C₄⋊C₈	C₂²⋊D₁₉	1	1	yes	characteristic
277	C₄⋊C₈	C₂²⋊D₁₉	1	1	yes	characteristic
278	C₄⋊C₈	C₂²⋊D₁₉	1	2	yes	—
279	#102	—	38	2	no	—
280	#102	—	38	2	no	—
281	C₂²⋊C₈	—	2	2	no	—
282	C₂²⋊C₈	—	2	2	no	—
283	C₂²⋊C₈	—	38	1	no	—
284	#97	—	2	2	no	—
285	C₄×C₈	—	2	2	no	—
286	C₄×C₈	—	38	1	no	—
287	C₁₉	#9174	1	1	yes	characteristic, complemented, Sylow
288	C₂⁴	—	76	1	no	—
289	#41	—	2	1	no	—
290	#41	—	2	1	no	—
291	#41	—	2	1	no	—
292	#41	—	2	1	no	—
293	C₂×Q₈	(C₂×D₁₉)⋊C₄	1	1	yes	characteristic
294	C₂×D₄	—	2	1	no	—
295	C₂×D₄	—	38	2	no	—
296	C₂×D₄	—	38	2	no	—
297	C₂×D₄	—	38	2	no	—
298	C₂×D₄	—	76	1	no	—
299	C₂×D₄	—	76	1	no	—
300	C₂×D₄	—	76	1	no	—
301	C₂×D₄	—	76	1	no	—
302	C₂×D₄	—	76	1	no	—
303	C₂×D₄	—	76	1	no	—
304	C₂×D₄	—	76	1	no	—
305	C₂×D₄	—	152	1	no	—
306	C₂×D₄	—	152	1	no	—
307	C₂×D₄	—	152	2	no	—
308	C₂×D₄	(C₂×D₁₉)⋊C₄	1	1	yes	characteristic
309	C₂²×C₄	—	2	1	no	—
310	C₂²×C₄	—	2	1	no	—
311	C₂²×C₄	—	2	1	no	—
312	C₂²×C₄	#64541	1	1	yes	characteristic
313	C₂²×C₄	#64541	1	1	yes	characteristic
314	C₂²×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
315	SD₁₆	—	76	4	no	—
316	D₈	—	76	4	no	—
317	M₁₆	—	4	1	no	—
318	M₁₆	—	4	1	no	—
319	M₁₆	—	76	1	no	—
320	M₁₆	—	76	1	no	—
321	C₂×C₈	—	2	1	no	—
322	C₂×C₈	—	2	2	no	—
323	C₂×C₈	—	2	1	no	—
324	C₂×C₈	—	4	1	no	—
325	C₂×C₈	—	4	1	no	—
326	C₂×C₈	—	38	2	no	—
327	C₂×C₈	—	76	1	no	—
328	C₂×C₈	—	76	1	no	—
329	C₂×C₈	—	152	1	no	—
330	C₄⋊C₄	—	2	1	no	—
331	C₄⋊C₄	—	2	1	no	—
332	C₄⋊C₄	(C₂×D₁₉)⋊C₄	1	1	yes	characteristic
333	C₄⋊C₄	(C₂×D₁₉)⋊C₄	1	1	yes	characteristic
334	C₂²⋊C₄	—	2	1	no	—
335	C₂²⋊C₄	—	2	1	no	—
336	C₂²⋊C₄	—	2	1	no	—
337	C₄²	—	2	1	no	—
338	C₄²	—	2	1	no	—
339	C₄²	—	2	1	no	—
340	C₄²	C₂×C₄×D₁₉	1	1	yes	characteristic
341	C₄²	C₂×D₇₆	1	1	yes	characteristic
342	C₄²	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
343	C₄²	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
344	C₂³	—	2	1	no	—
345	C₂³	—	76	2	no	—
346	C₂³	—	152	2	no	—
347	C₂³	—	152	2	no	—
348	C₂³	—	152	1	no	—
349	C₂³	—	152	1	no	—
350	C₂³	#10597375	1	1	yes	characteristic
351	Q₈	—	2	1	no	—
352	Q₈	—	2	1	no	—
353	D₄	—	2	1	no	—
354	D₄	—	2	1	no	—
355	D₄	—	4	1	no	—
356	D₄	—	4	1	no	—
357	D₄	—	76	2	no	—
358	D₄	—	76	2	no	—
359	D₄	—	152	2	no	—
360	D₄	—	152	2	no	—
361	D₄	—	152	2	no	—
362	D₄	—	152	1	no	—
363	D₄	—	152	1	no	—
364	D₄	—	152	1	no	—
365	D₄	—	152	1	no	—
366	C₂×C₄	—	2	1	no	—
367	C₂×C₄	—	2	1	no	—
368	C₂×C₄	—	2	1	no	—
369	C₂×C₄	—	2	1	no	—
370	C₂×C₄	—	2	1	no	—
371	C₂×C₄	—	4	1	no	—
372	C₂×C₄	—	4	1	no	—
373	C₂×C₄	—	4	1	no	—
374	C₂×C₄	—	4	1	no	—
375	C₂×C₄	—	4	1	no	—
376	C₂×C₄	—	8	1	no	—
377	C₂×C₄	C₂×(C₂×D₁₉)⋊C₄	1	1	yes	characteristic
378	C₂×C₄	C₄×C₂²⋊D₁₉	1	1	yes	characteristic
379	C₂×C₄	C₄×C₂²⋊D₁₉	1	1	yes	characteristic
380	C₂×C₄	#10597376	1	1	yes	characteristic
381	C₂×C₄	#10597376	1	1	yes	characteristic
382	C₂×C₄	#10597395	1	1	yes	characteristic
383	C₂×C₄	#10597395	1	1	yes	characteristic
384	C₂×C₄	#10597396	1	1	yes	characteristic
385	C₂×C₄	#10597396	1	1	yes	characteristic
386	C₂×C₄	#10597399	1	1	yes	characteristic
387	C₈	—	4	1	no	—
388	C₈	—	4	1	no	—
389	C₈	—	4	2	no	—
390	C₈	—	76	2	no	—
391	C₈	—	152	1	no	—
392	C₈	—	152	1	no	—
393	C₂²	—	2	1	no	—
394	C₂²	—	2	1	no	—
395	C₂²	—	4	1	no	—
396	C₂²	—	4	1	no	—
397	C₂²	—	4	1	no	—
398	C₂²	—	304	2	no	—
399	C₂²	—	304	2	no	—
400	C₂²	—	152	2	no	—
401	C₂²	—	152	2	no	—
402	C₂²	—	152	2	no	—
403	C₂²	#11926423	1	1	yes	characteristic
404	C₂²	#11926868	1	1	yes	characteristic
405	C₂²	#11926868	1	1	yes	characteristic
406	C₄	—	2	1	no	—
407	C₄	—	2	1	no	—
408	C₄	—	2	1	no	—
409	C₄	—	4	1	no	—
410	C₄	—	4	1	no	—
411	C₄	—	4	1	no	—
412	C₄	#11926538	1	1	yes	characteristic
413	C₄	#11926548	1	1	yes	characteristic
414	C₄	#11926689	1	1	yes	characteristic
415	C₄	#11926689	1	1	yes	characteristic
416	C₄	#11926807	1	1	yes	characteristic
417	C₄	#11926814	1	1	yes	characteristic
418	C₂	—	2	1	no	—
419	C₂	—	2	1	no	—
420	C₂	—	8	1	no	—
421	C₂	—	304	2	no	—
422	C₂	#14563957	1	1	yes	characteristic
423	C₂	#14564115	1	1	yes	characteristic
424	C₂	#14564143	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	#11926423
commutator	C₄²×C₁₉	C₂²×C₄
Frattini	C₂×C₄²	C₂²×D₁₉
Fitting	C₁₉×#2925	C₂
socle	C₂²×C₁₉	#386
prime radical	#14573115	C₂
cosocle	C₂×C₄²×C₁₉	C₂³
hypercenter	#2925	D₁₉
hypocenter	C₁₉	#9174
LCS	G ▷ C₄²×C₁₉ ▷ C₂²×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #2925

Complements

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

N	H ≅ G/N	type
2. #14562304	C₂	semidirect
3. C₂×#11926287	C₂	semidirect
4. #14562022	C₂	semidirect
5. #14561532	C₂	semidirect
6. #14561509	C₂	semidirect
7. C₁₉×#2925	C₂	semidirect
182. #2925	D₁₉	semidirect
287. C₁₉	#9174	semidirect

Maximal subgroups

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

subgroup	index
#14573115	2
#14562304	2
C₂×#11926287	2
#14562022	2
#14561532	2
#14561509	2
C₁₉×#2925	2
#9174	19