Subgroups — #18078919

Order 4864.

512 conjugacy classes of subgroups.

The subgroup lattice has 418 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11926831	C₂	1	1	yes	maximal, characteristic
2	M₁₆×D₇₆	C₂	1	1	yes	maximal, characteristic
3	#14562320	C₂	1	1	yes	maximal, characteristic, complemented
4	#14562059	C₂	1	1	yes	maximal, characteristic
5	#14561509	C₂	1	1	yes	maximal, characteristic, complemented
6	#14561486	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#1997	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×M₁₆×D₁₉	—	2	1	no	—
9	C₂×C₄×D₇₆	C₂²	1	1	yes	characteristic
10	#11926831	—	2	1	no	—
11	#11926831	—	2	1	no	—
12	#11926831	—	2	1	no	—
13	#11926831	—	2	1	no	—
14	#11926623	—	2	1	no	—
15	#11926617	—	2	2	no	—
16	C₈×D₇₆	—	2	1	no	—
17	#11926597	C₂²	1	1	yes	characteristic
18	C₂×#10597265	C₄	1	2	yes	—
19	#11926568	C₂²	1	1	yes	characteristic
20	C₂×C₄⋊(C₁₉⋊C₈)	C₂²	1	1	yes	characteristic
21	C₂×#10597266	C₄	1	2	yes	—
22	#11926507	—	2	1	no	—
23	#11926290	—	2	2	no	—
24	#11926271	—	2	1	no	—
25	#11926271	—	2	1	no	—
26	C₂×C₁₉×C₄⋊Q₈	C₂²	1	1	yes	characteristic
27	C₁₉×#423	C₂²	1	1	yes	characteristic
28	C₄×M₁₆×C₁₉	C₂²	1	1	yes	characteristic
29	C₁₉×#343	—	2	1	no	—
30	C₁₉×#343	—	2	1	no	—
31	C₂²×Q₈×C₁₉	—	2	1	no	—
32	C₂²×D₇₆	C₂×C₄	1	1	yes	characteristic
33	C₂²×C₄×D₁₉	—	2	1	no	—
34	C₂×M₁₆×C₁₉	—	2	1	no	—
35	C₂×M₁₆×C₁₉	D₄	1	1	yes	characteristic
36	C₂×M₁₆×C₁₉	D₄	1	1	yes	characteristic
37	C₁₉×C₄⋊Q₈	—	2	1	no	—
38	C₁₉×C₄⋊Q₈	—	2	1	no	—
39	C₁₉×C₄⋊Q₈	—	2	1	no	—
40	C₁₉×C₄⋊Q₈	—	2	1	no	—
41	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
42	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	2	yes	—
43	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
44	C₂×(C₂×D₁₉)⋊C₄	—	2	1	no	—
45	C₂×C₄⋊Dic₁₉	C₂×C₄	1	1	yes	characteristic
46	C₂×#64520	—	2	1	no	—
47	C₂²×C₁₉⋊C₈	C₂×C₄	1	2	yes	—
48	M₁₆×D₁₉	—	4	2	no	—
49	M₁₆×D₁₉	—	4	2	no	—
50	C₂×#64515	—	2	2	no	—
51	C₂×C₈×D₁₉	—	2	2	no	—
52	C₄×D₇₆	—	2	1	no	—
53	C₄×D₇₆	—	2	1	no	—
54	C₄×D₇₆	D₄	1	1	yes	characteristic
55	C₄×D₇₆	D₄	1	1	yes	characteristic
56	C₄×D₇₆	D₄	1	1	yes	characteristic
57	C₄×D₇₆	D₄	1	1	yes	characteristic
58	C₁₉×C₄⋊C₈	—	2	1	no	—
59	C₁₉×C₄⋊C₈	—	2	1	no	—
60	C₁₉×#97	—	2	1	no	—
61	C₄×C₈×C₁₉	—	2	1	no	—
62	C₂²⋊(C₁₉⋊C₈)	—	2	1	no	—
63	(C₂×D₁₉)⋊C₈	—	2	2	no	—
64	(C₂×D₁₉)⋊C₈	—	2	2	no	—
65	#10597266	—	2	2	no	—
66	#10597266	—	2	2	no	—
67	#10597265	—	2	2	no	—
68	#10597265	—	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)	D₄	1	2	yes	—
74	C₄×C₁₉⋊C₈	—	2	1	no	—
75	C₂³×D₁₉	—	2	1	no	—
76	C₂×Q₈×C₁₉	—	4	1	no	—
77	C₂×Q₈×C₁₉	—	4	1	no	—
78	C₂×Q₈×C₁₉	—	8	2	no	—
79	C₂²×C₄×C₁₉	—	2	2	no	—
80	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
81	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
82	C₂²×C₄×C₁₉	#41	1	1	yes	characteristic
83	C₂²×Dic₁₉	—	2	1	no	—
84	C₂×D₇₆	—	2	2	no	—
85	C₂×D₇₆	—	2	1	no	—
86	C₂×D₇₆	—	4	1	no	—
87	C₂×D₇₆	C₂²⋊C₄	1	1	yes	characteristic
88	C₂×D₇₆	C₂²⋊C₄	1	1	yes	characteristic
89	C₂×C₄×D₁₉	—	2	1	no	—
90	C₂×C₄×D₁₉	—	2	1	no	—
91	C₂×C₄×D₁₉	—	2	1	no	—
92	C₂×C₄×D₁₉	—	2	1	no	—
93	C₂×C₄×D₁₉	—	4	1	no	—
94	C₂×C₄×D₁₉	—	4	1	no	—
95	C₂×C₄×D₁₉	—	4	1	no	—
96	C₂×C₄×D₁₉	—	4	1	no	—
97	M₁₆×C₁₉	—	2	1	no	—
98	M₁₆×C₁₉	—	2	1	no	—
99	M₁₆×C₁₉	—	2	1	no	—
100	M₁₆×C₁₉	—	4	1	no	—
101	M₁₆×C₁₉	—	4	1	no	—
102	M₁₆×C₁₉	SD₁₆	1	2	yes	—
103	C₂×C₈×C₁₉	—	2	1	no	—
104	C₂×C₈×C₁₉	—	2	1	no	—
105	C₂×C₈×C₁₉	—	4	1	no	—
106	C₄⋊C₄×C₁₉	—	2	2	no	—
107	C₄⋊C₄×C₁₉	—	2	2	no	—
108	C₄⋊C₄×C₁₉	—	4	1	no	—
109	C₄⋊C₄×C₁₉	—	4	1	no	—
110	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
111	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
112	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
113	C₄²×C₁₉	#41	1	1	yes	characteristic
114	(C₂×D₁₉)⋊C₄	—	2	1	no	—
115	(C₂×D₁₉)⋊C₄	—	2	1	no	—
116	(C₂×D₁₉)⋊C₄	—	2	1	no	—
117	(C₂×D₁₉)⋊C₄	—	2	1	no	—
118	C₄⋊Dic₁₉	—	2	1	no	—
119	C₄⋊Dic₁₉	C₂²⋊C₄	1	1	yes	characteristic
120	C₄⋊Dic₁₉	C₂²⋊C₄	1	1	yes	characteristic
121	#64520	—	4	1	no	—
122	#64520	—	4	1	no	—
123	C₂×C₁₉⋊C₈	—	2	2	no	—
124	C₂×C₁₉⋊C₈	—	2	2	no	—
125	C₂×C₁₉⋊C₈	—	4	2	no	—
126	C₂×C₁₉⋊C₈	—	4	1	no	—
127	#64515	—	4	4	no	—
128	C₈×D₁₉	—	4	4	no	—
129	#9249	—	19	1	no	maximal, Sylow
130	C₂³×C₁₉	C₄×D₄	1	1	yes	characteristic
131	C₂²×D₁₉	—	2	1	no	—
132	C₂²×D₁₉	—	2	1	no	—
133	C₂²×D₁₉	—	4	2	no	—
134	C₂²×D₁₉	—	4	1	no	—
135	C₂²×D₁₉	—	4	1	no	—
136	C₂²×D₁₉	—	8	1	no	—
137	Q₈×C₁₉	—	8	2	no	—
138	Q₈×C₁₉	—	8	2	no	—
139	C₂×C₄×C₁₉	—	2	1	no	—
140	C₂×C₄×C₁₉	—	2	1	no	—
141	C₂×C₄×C₁₉	—	4	1	no	—
142	C₂×C₄×C₁₉	—	4	2	no	—
143	C₂×C₄×C₁₉	—	8	2	no	—
144	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
145	C₂×C₄×C₁₉	C₄×D₄	1	1	yes	characteristic
146	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
147	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
148	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
149	C₂×C₄×C₁₉	#123	1	1	yes	characteristic
150	C₂×C₄×C₁₉	C₂×SD₁₆	1	1	yes	characteristic
151	C₂×C₄×C₁₉	#135	1	1	yes	characteristic
152	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
153	C₂×C₄×C₁₉	#137	1	1	yes	characteristic
154	C₂×Dic₁₉	—	2	1	no	—
155	C₂×Dic₁₉	—	2	1	no	—
156	C₂×Dic₁₉	—	4	1	no	—
157	C₂×Dic₁₉	—	4	1	no	—
158	D₇₆	—	2	1	no	—
159	D₇₆	—	2	1	no	—
160	D₇₆	—	2	1	no	—
161	D₇₆	—	4	2	no	—
162	D₇₆	#101	1	2	yes	—
163	C₄×D₁₉	—	4	1	no	—
164	C₄×D₁₉	—	4	1	no	—
165	C₄×D₁₉	—	4	1	no	—
166	C₄×D₁₉	—	4	1	no	—
167	C₄×D₁₉	—	4	1	no	—
168	C₄×D₁₉	—	4	1	no	—
169	C₄×D₁₉	—	4	1	no	—
170	C₄×D₁₉	—	4	1	no	—
171	C₈×C₁₉	—	2	2	no	—
172	C₈×C₁₉	—	4	1	no	—
173	C₈×C₁₉	—	8	1	no	—
174	C₁₉⋊C₈	—	4	2	no	—
175	C₁₉⋊C₈	—	4	2	no	—
176	C₁₉⋊C₈	—	8	1	no	—
177	C₂×#476	—	19	1	no	—
178	D₄×M₁₆	—	19	1	no	—
179	#1997	D₁₉	1	1	yes	characteristic, complemented
180	#1549	—	19	1	no	—
181	#1486	—	19	1	no	—
182	#1292	—	19	1	no	—
183	#1283	—	19	1	no	—
184	C₂²×C₁₉	—	2	1	no	—
185	C₂²×C₁₉	—	2	1	no	—
186	C₂²×C₁₉	#386	1	1	yes	characteristic
187	C₂²×C₁₉	C₄×SD₁₆	1	1	yes	characteristic
188	C₂²×C₁₉	#440	1	1	yes	characteristic
189	C₂×D₁₉	—	2	2	no	—
190	C₂×D₁₉	—	4	1	no	—
191	C₂×D₁₉	—	4	1	no	—
192	C₂×D₁₉	—	4	1	no	—
193	C₂×D₁₉	—	4	1	no	—
194	C₂×D₁₉	—	4	1	no	—
195	C₂×D₁₉	—	8	2	no	—
196	C₂×D₁₉	—	8	2	no	—
197	C₄×C₁₉	—	2	1	no	—
198	C₄×C₁₉	—	2	1	no	—
199	C₄×C₁₉	—	2	1	no	—
200	C₄×C₁₉	—	8	2	no	—
201	C₄×C₁₉	C₂×#101	1	1	yes	characteristic
202	C₄×C₁₉	#413	1	1	yes	characteristic
203	C₄×C₁₉	#450	1	1	yes	characteristic
204	C₄×C₁₉	#452	1	1	yes	characteristic
205	C₄×C₁₉	#461	1	1	yes	characteristic
206	C₄×C₁₉	#463	1	1	yes	characteristic
207	Dic₁₉	—	4	1	no	—
208	Dic₁₉	—	4	1	no	—
209	C₂²×M₁₆	—	38	1	no	—
210	C₂×C₄⋊Q₈	C₂×D₁₉	1	1	yes	characteristic
211	C₂×C₄×D₄	—	19	1	no	—
212	#476	—	38	1	no	—
213	#476	—	38	1	no	—
214	#476	—	38	1	no	—
215	#476	—	38	1	no	—
216	#436	—	38	1	no	—
217	#435	—	38	2	no	—
218	C₈×D₄	—	38	1	no	—
219	#431	—	19	1	no	—
220	C₂×#106	—	19	2	no	—
221	#423	—	19	1	no	—
222	#423	C₂×D₁₉	1	1	yes	characteristic
223	C₂×C₄⋊C₈	—	19	1	no	—
224	C₂×#102	—	19	2	no	—
225	#407	—	38	1	no	—
226	C₄×M₁₆	C₂×D₁₉	1	1	yes	characteristic
227	#343	—	2	1	no	—
228	#343	—	2	1	no	—
229	#332	—	38	2	no	—
230	D₄⋊C₈	—	38	1	no	—
231	D₄⋊C₈	—	38	1	no	—
232	C₂×C₁₉	—	2	1	no	—
233	C₂×C₁₉	—	2	1	no	—
234	C₂×C₁₉	#1877	1	1	yes	characteristic
235	C₂×C₁₉	#1901	1	1	yes	characteristic
236	C₂×C₁₉	#1903	1	1	yes	characteristic
237	D₁₉	—	4	2	no	—
238	D₁₉	—	8	1	no	—
239	C₂²×Q₈	—	2	1	no	—
240	C₂²×D₄	—	19	1	no	—
241	C₂³×C₄	—	38	1	no	—
242	C₂×M₁₆	—	2	1	no	—
243	C₂×M₁₆	—	38	2	no	—
244	C₂×M₁₆	—	38	1	no	—
245	C₂×M₁₆	—	76	2	no	—
246	C₂×M₁₆	—	76	2	no	—
247	C₂×M₁₆	C₂²⋊D₁₉	1	1	yes	characteristic
248	C₂×M₁₆	C₂²⋊D₁₉	1	1	yes	characteristic
249	C₂²×C₈	—	19	2	no	—
250	C₂²×C₈	—	38	2	no	—
251	C₄⋊Q₈	—	2	1	no	—
252	C₄⋊Q₈	—	2	1	no	—
253	C₄⋊Q₈	—	2	1	no	—
254	C₄⋊Q₈	—	2	1	no	—
255	C₄×D₄	—	19	1	no	—
256	C₄×D₄	—	19	1	no	—
257	C₄×D₄	—	19	1	no	—
258	C₄×D₄	—	19	1	no	—
259	C₄×D₄	—	38	1	no	—
260	C₄×D₄	—	38	1	no	—
261	C₂×C₄⋊C₄	—	2	1	no	—
262	C₂×C₄⋊C₄	—	19	1	no	—
263	C₂×C₄⋊C₄	C₄×D₁₉	1	2	yes	—
264	C₂×C₂²⋊C₄	—	38	1	no	—
265	C₂×C₄²	C₂²×D₁₉	1	1	yes	characteristic
266	#106	—	38	2	no	—
267	#106	—	38	2	no	—
268	C₄⋊C₈	—	2	1	no	—
269	C₄⋊C₈	—	2	1	no	—
270	C₄⋊C₈	—	19	2	no	—
271	C₄⋊C₈	—	38	1	no	—
272	C₄⋊C₈	—	38	1	no	—
273	C₄⋊C₈	—	38	1	no	—
274	C₄⋊C₈	—	38	1	no	—
275	#102	—	38	2	no	—
276	#102	—	38	2	no	—
277	C₂²⋊C₈	—	38	2	no	—
278	C₂²⋊C₈	—	38	2	no	—
279	C₂²⋊C₈	—	38	1	no	—
280	#97	—	2	1	no	—
281	C₄×C₈	—	2	1	no	—
282	C₄×C₈	—	38	1	no	—
283	C₁₉	#9249	1	1	yes	characteristic, complemented, Sylow
284	C₂⁴	—	38	1	no	—
285	C₂×Q₈	—	4	1	no	—
286	C₂×Q₈	—	4	1	no	—
287	C₂×Q₈	—	8	2	no	—
288	C₂×D₄	—	19	1	no	—
289	C₂×D₄	—	19	1	no	—
290	C₂×D₄	—	38	2	no	—
291	C₂×D₄	—	38	1	no	—
292	C₂×D₄	—	76	1	no	—
293	C₂²×C₄	—	2	2	no	—
294	C₂²×C₄	—	38	1	no	—
295	C₂²×C₄	—	38	1	no	—
296	C₂²×C₄	—	38	1	no	—
297	C₂²×C₄	—	38	1	no	—
298	C₂²×C₄	—	38	1	no	—
299	C₂²×C₄	—	76	1	no	—
300	C₂²×C₄	—	76	1	no	—
301	C₂²×C₄	—	76	1	no	—
302	C₂²×C₄	—	76	1	no	—
303	C₂²×C₄	C₂×C₄×D₁₉	1	1	yes	characteristic
304	C₂²×C₄	#64541	1	1	yes	characteristic
305	C₂²×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
306	M₁₆	—	2	1	no	—
307	M₁₆	—	2	1	no	—
308	M₁₆	—	2	1	no	—
309	M₁₆	—	4	1	no	—
310	M₁₆	—	4	1	no	—
311	M₁₆	—	76	4	no	—
312	M₁₆	—	76	1	no	—
313	M₁₆	—	76	1	no	—
314	M₁₆	#64527	1	2	yes	—
315	C₂×C₈	—	2	1	no	—
316	C₂×C₈	—	2	1	no	—
317	C₂×C₈	—	4	1	no	—
318	C₂×C₈	—	38	2	no	—
319	C₂×C₈	—	38	2	no	—
320	C₂×C₈	—	76	4	no	—
321	C₂×C₈	—	76	2	no	—
322	C₂×C₈	—	76	1	no	—
323	C₄⋊C₄	—	2	2	no	—
324	C₄⋊C₄	—	2	2	no	—
325	C₄⋊C₄	—	4	1	no	—
326	C₄⋊C₄	—	4	1	no	—
327	C₄⋊C₄	—	19	1	no	—
328	C₄⋊C₄	—	19	1	no	—
329	C₄⋊C₄	—	38	1	no	—
330	C₂²⋊C₄	—	38	1	no	—
331	C₂²⋊C₄	—	38	1	no	—
332	C₂²⋊C₄	—	38	1	no	—
333	C₂²⋊C₄	—	38	1	no	—
334	C₄²	D₄×D₁₉	1	1	yes	characteristic
335	C₄²	D₄×D₁₉	1	1	yes	characteristic
336	C₄²	D₄×D₁₉	1	1	yes	characteristic
337	C₄²	#64543	1	1	yes	characteristic
338	C₂³	—	38	1	no	—
339	C₂³	—	38	1	no	—
340	C₂³	—	76	2	no	—
341	C₂³	—	76	1	no	—
342	C₂³	—	76	1	no	—
343	C₂³	—	152	1	no	—
344	C₂³	C₄×C₂²⋊D₁₉	1	1	yes	characteristic
345	Q₈	—	8	2	no	—
346	Q₈	—	8	2	no	—
347	D₄	—	19	2	no	—
348	D₄	—	38	1	no	—
349	D₄	—	38	1	no	—
350	D₄	—	38	1	no	—
351	D₄	—	76	2	no	—
352	C₂×C₄	—	2	1	no	—
353	C₂×C₄	—	2	1	no	—
354	C₂×C₄	—	4	1	no	—
355	C₂×C₄	—	4	2	no	—
356	C₂×C₄	—	8	2	no	—
357	C₂×C₄	—	38	1	no	—
358	C₂×C₄	—	38	1	no	—
359	C₂×C₄	—	76	1	no	—
360	C₂×C₄	—	76	1	no	—
361	C₂×C₄	—	76	1	no	—
362	C₂×C₄	—	76	1	no	—
363	C₂×C₄	—	76	1	no	—
364	C₂×C₄	—	76	1	no	—
365	C₂×C₄	—	76	1	no	—
366	C₂×C₄	—	76	1	no	—
367	C₂×C₄	—	76	1	no	—
368	C₂×C₄	—	76	1	no	—
369	C₂×C₄	C₂²⋊C₄×D₁₉	1	1	yes	characteristic
370	C₂×C₄	(C₂²⋊D₁₉)⋊C₄	1	1	yes	characteristic
371	C₂×C₄	#10597329	1	1	yes	characteristic
372	C₂×C₄	#10597330	1	1	yes	characteristic
373	C₂×C₄	#10597383	1	1	yes	characteristic
374	C₂×C₄	#10597384	1	1	yes	characteristic
375	C₂×C₄	C₂×#64527	1	1	yes	characteristic
376	C₂×C₄	#10597388	1	1	yes	characteristic
377	C₂×C₄	#10597395	1	1	yes	characteristic
378	C₂×C₄	#10597396	1	1	yes	characteristic
379	C₈	—	2	2	no	—
380	C₈	—	4	1	no	—
381	C₈	—	8	1	no	—
382	C₈	—	76	2	no	—
383	C₈	—	76	2	no	—
384	C₈	—	152	1	no	—
385	C₂²	—	2	1	no	—
386	C₂²	—	2	1	no	—
387	C₂²	—	38	2	no	—
388	C₂²	—	76	1	no	—
389	C₂²	—	76	1	no	—
390	C₂²	—	76	1	no	—
391	C₂²	—	76	1	no	—
392	C₂²	—	76	1	no	—
393	C₂²	—	152	2	no	—
394	C₂²	—	152	2	no	—
395	C₂²	#11926420	1	1	yes	characteristic
396	C₂²	C₄×#64527	1	1	yes	characteristic
397	C₂²	#11926642	1	1	yes	characteristic
398	C₄	—	2	1	no	—
399	C₄	—	2	1	no	—
400	C₄	—	2	1	no	—
401	C₄	—	8	2	no	—
402	C₄	—	76	1	no	—
403	C₄	—	76	1	no	—
404	C₄	#101×D₁₉	1	1	yes	characteristic
405	C₄	#11926527	1	1	yes	characteristic
406	C₄	#11926694	1	1	yes	characteristic
407	C₄	#11926704	1	1	yes	characteristic
408	C₄	#11926746	1	1	yes	characteristic
409	C₄	#11926756	1	1	yes	characteristic
410	C₂	—	2	1	no	—
411	C₂	—	2	1	no	—
412	C₂	—	76	2	no	—
413	C₂	—	152	1	no	—
414	C₂	#14563972	1	1	yes	characteristic
415	C₂	#14564100	1	1	yes	characteristic
416	C₂	#14564118	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	#11926420
commutator	C₂²×C₄×C₁₉	C₂²×C₄
Frattini	C₂×C₄²	C₂²×D₁₉
Fitting	C₁₉×#1997	C₂
socle	C₂²×C₁₉	#386
prime radical	C₂²×D₇₆	C₂×C₄
cosocle	C₂×C₄²×C₁₉	C₂³
hypercenter	#1997	D₁₉
hypocenter	C₁₉	#9249
LCS	G ▷ C₂²×C₄×C₁₉ ▷ C₂²×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #1997

Complements

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

N	H ≅ G/N	type
3. #14562320	C₂	semidirect
5. #14561509	C₂	semidirect
6. #14561486	C₂	semidirect
7. C₁₉×#1997	C₂	semidirect
179. #1997	D₁₉	semidirect
283. C₁₉	#9249	semidirect

Maximal subgroups

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

subgroup	index
C₂×#11926831	2
M₁₆×D₇₆	2
#14562320	2
#14562059	2
#14561509	2
#14561486	2
C₁₉×#1997	2
#9249	19