Subgroups — #18083632

Order 4864.

670 conjugacy classes of subgroups.

The subgroup lattice has 428 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11926891	C₂	1	1	yes	maximal, characteristic
2	C₂×#11926744	C₂	1	1	yes	maximal, characteristic
3	#14568620	C₂	1	1	yes	maximal, characteristic, complemented
4	#14564561	C₂	1	1	yes	maximal, characteristic
5	C₂×#11926289	C₂	1	1	yes	maximal, characteristic, complemented
6	#14561475	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×C₁₉×Q₈⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂²×#64527	—	2	1	no	—
9	C₂×#10597315	C₂²	1	1	yes	characteristic
10	C₂×#10597390	—	2	1	no	—
11	C₂×#10597320	C₂²	1	1	yes	characteristic
12	#11926891	—	2	2	no	—
13	#11926891	—	2	2	no	—
14	#11926744	—	2	2	no	—
15	#11926744	—	2	2	no	—
16	C₂×C₄⋊(C₁₉⋊C₈)	C₂²	1	1	yes	characteristic
17	C₂×#10597278	—	2	2	no	—
18	C₂×#10597278	—	2	2	no	—
19	C₂×#10597266	—	2	1	no	—
20	#11926474	—	2	2	no	—
21	#11926449	—	2	1	no	—
22	#11926442	—	2	2	no	—
23	C₄×C₄⋊Dic₁₉	C₂²	1	1	yes	characteristic
24	#11926289	—	2	2	no	—
25	C₂×C₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
26	C₂×C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
27	C₂×C₄×C₈×C₁₉	C₂²	1	1	yes	characteristic
28	C₁₉×Q₈⋊C₈	—	2	2	no	—
29	C₂²×Q₈×C₁₉	D₄	1	1	yes	characteristic
30	C₂²×D₇₆	—	2	1	no	—
31	C₂²×D₇₆	—	2	1	no	—
32	C₂²×D₇₆	—	2	1	no	—
33	C₂²×Dic₃₈	—	2	1	no	—
34	C₂²×C₈×C₁₉	—	2	1	no	—
35	C₂²×C₈×C₁₉	—	2	1	no	—
36	C₄×Q₈×C₁₉	—	2	1	no	—
37	C₄×Q₈×C₁₉	—	2	1	no	—
38	C₄×Q₈×C₁₉	—	2	1	no	—
39	C₄×Q₈×C₁₉	—	2	1	no	—
40	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
41	C₂×C₄⋊C₄×C₁₉	D₄	1	1	yes	characteristic
42	C₂×C₄²×C₁₉	—	2	1	no	—
43	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
44	#10597390	—	4	2	no	—
45	#10597390	—	4	2	no	—
46	C₂×#64527	—	2	4	no	—
47	C₂×#64527	—	4	2	no	—
48	C₂×#64527	—	4	2	no	—
49	C₂×C₄⋊Dic₁₉	—	2	1	no	—
50	C₂×C₄⋊Dic₁₉	D₄	1	2	yes	—
51	C₂×C₄⋊Dic₁₉	D₄	1	2	yes	—
52	C₂×Dic₁₉⋊C₄	—	2	4	no	—
53	C₂×C₄×Dic₁₉	—	2	1	no	—
54	C₂²×C₁₉⋊C₈	—	2	1	no	—
55	#10597320	—	2	1	no	—
56	#10597320	—	2	1	no	—
57	#10597320	—	2	1	no	—
58	#10597320	D₄	1	2	yes	—
59	#10597315	—	2	1	no	—
60	#10597315	—	2	1	no	—
61	#10597315	—	2	1	no	—
62	#10597315	—	2	1	no	—
63	C₁₉×C₄⋊C₈	—	2	1	no	—
64	C₁₉×C₄⋊C₈	—	2	1	no	—
65	C₄×C₈×C₁₉	—	2	1	no	—
66	C₄×C₈×C₁₉	D₄	1	2	yes	—
67	C₁₉⋊#95	—	2	4	no	—
68	C₁₉⋊#95	—	2	1	no	—
69	#10597278	—	2	8	no	—
70	#10597278	—	4	4	no	—
71	#10597266	—	2	4	no	—
72	C₄⋊(C₁₉⋊C₈)	—	2	1	no	—
73	C₄⋊(C₁₉⋊C₈)	D₄	1	2	yes	—
74	C₂³×D₁₉	—	4	1	no	—
75	C₂×Q₈×C₁₉	—	2	1	no	—
76	C₂×Q₈×C₁₉	—	2	1	no	—
77	C₂×Q₈×C₁₉	—	2	1	no	—
78	C₂×Q₈×C₁₉	—	2	1	no	—
79	C₂×Q₈×C₁₉	—	2	1	no	—
80	C₂×Q₈×C₁₉	D₈	1	2	yes	—
81	C₂²×C₄×C₁₉	—	2	1	no	—
82	C₂²×C₄×C₁₉	—	2	1	no	—
83	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
84	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
85	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
86	C₂²×Dic₁₉	—	2	2	no	—
87	C₂²×Dic₁₉	—	2	2	no	—
88	C₂×D₇₆	—	2	2	no	—
89	C₂×D₇₆	—	2	2	no	—
90	C₂×D₇₆	—	2	2	no	—
91	C₂×D₇₆	—	4	4	no	—
92	C₂×D₇₆	—	4	1	no	—
93	C₂×D₇₆	—	4	2	no	—
94	C₂×D₇₆	—	4	1	no	—
95	C₂×D₇₆	—	4	1	no	—
96	C₂×D₇₆	—	4	1	no	—
97	C₂×D₇₆	—	4	2	no	—
98	C₂×D₇₆	—	4	1	no	—
99	C₂×D₇₆	—	4	1	no	—
100	C₂×D₇₆	—	4	1	no	—
101	C₂×Dic₃₈	—	4	1	no	—
102	C₂×Dic₃₈	—	4	1	no	—
103	C₂×Dic₃₈	—	4	1	no	—
104	C₂×Dic₃₈	—	4	1	no	—
105	C₂×Dic₃₈	—	4	1	no	—
106	C₂×Dic₃₈	—	4	1	no	—
107	C₂×C₈×C₁₉	—	2	2	no	—
108	C₂×C₈×C₁₉	—	4	2	no	—
109	C₂×C₈×C₁₉	—	4	1	no	—
110	C₂×C₈×C₁₉	—	4	2	no	—
111	C₄⋊C₄×C₁₉	—	2	1	no	—
112	C₄⋊C₄×C₁₉	—	2	1	no	—
113	C₄⋊C₄×C₁₉	—	4	1	no	—
114	C₄⋊C₄×C₁₉	—	4	1	no	—
115	C₄²×C₁₉	—	4	1	no	—
116	C₄²×C₁₉	—	4	1	no	—
117	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
118	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
119	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
120	C₄²×C₁₉	#41	1	1	yes	characteristic
121	#64527	—	4	8	no	—
122	C₄⋊Dic₁₉	—	2	2	no	—
123	C₄⋊Dic₁₉	—	2	2	no	—
124	C₄⋊Dic₁₉	—	2	2	no	—
125	C₄⋊Dic₁₉	—	4	1	no	—
126	C₄⋊Dic₁₉	—	4	1	no	—
127	C₄⋊Dic₁₉	SD₁₆	1	4	yes	complemented
128	Dic₁₉⋊C₄	—	4	8	no	—
129	C₄×Dic₁₉	—	4	1	no	—
130	C₄×Dic₁₉	—	4	1	no	—
131	C₂×C₁₉⋊C₈	—	2	2	no	—
132	C₂×C₁₉⋊C₈	—	4	1	no	—
133	C₂×C₁₉⋊C₈	—	4	1	no	—
134	#10051	—	19	1	no	maximal, Sylow
135	C₂³×C₁₉	#120	1	1	yes	characteristic
136	C₂²×D₁₉	—	4	2	no	—
137	C₂²×D₁₉	—	8	1	no	—
138	C₂²×D₁₉	—	8	2	no	—
139	C₂²×D₁₉	—	8	1	no	—
140	C₂²×D₁₉	—	8	2	no	—
141	Q₈×C₁₉	—	2	2	no	—
142	Q₈×C₁₉	—	2	2	no	—
143	Q₈×C₁₉	—	4	1	no	—
144	Q₈×C₁₉	—	4	1	no	—
145	C₂×C₄×C₁₉	—	2	2	no	—
146	C₂×C₄×C₁₉	—	2	2	no	—
147	C₂×C₄×C₁₉	—	4	1	no	—
148	C₂×C₄×C₁₉	—	4	1	no	—
149	C₂×C₄×C₁₉	—	4	1	no	—
150	C₂×C₄×C₁₉	—	4	2	no	—
151	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
152	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
153	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
154	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
155	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
156	C₂×C₄×C₁₉	#127	1	1	yes	characteristic
157	C₂×C₄×C₁₉	C₂×D₈	1	1	yes	characteristic
158	C₂×C₄×C₁₉	C₂×SD₁₆	1	2	yes	—
159	C₂×C₄×C₁₉	#135	1	1	yes	characteristic
160	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
161	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
162	C₂×C₄×C₁₉	#137	1	2	yes	—
163	C₂×Dic₁₉	—	2	4	no	—
164	C₂×Dic₁₉	—	4	2	no	—
165	C₂×Dic₁₉	—	4	2	no	—
166	C₂×Dic₁₉	—	4	2	no	—
167	C₂×Dic₁₉	—	4	2	no	—
168	C₂×Dic₁₉	—	4	2	no	—
169	D₇₆	—	4	4	no	—
170	D₇₆	—	4	2	no	—
171	D₇₆	—	4	2	no	—
172	D₇₆	—	4	4	no	—
173	D₇₆	—	8	2	no	—
174	D₇₆	—	8	1	no	—
175	D₇₆	—	8	1	no	—
176	D₇₆	—	8	1	no	—
177	D₇₆	—	8	1	no	—
178	Dic₃₈	—	8	1	no	—
179	Dic₃₈	—	8	1	no	—
180	Dic₃₈	—	8	1	no	—
181	Dic₃₈	—	8	1	no	—
182	C₈×C₁₉	—	4	2	no	—
183	C₈×C₁₉	—	8	1	no	—
184	C₁₉⋊C₈	—	4	2	no	—
185	C₂×#486	—	19	1	no	—
186	C₂×#460	—	19	1	no	—
187	#2546	—	19	1	no	—
188	#1982	—	19	1	no	—
189	C₂×#332	—	19	1	no	—
190	C₂×Q₈⋊C₈	D₁₉	1	1	yes	characteristic, complemented
191	#1279	—	19	1	no	—
192	C₂²×C₁₉	#392	1	1	yes	characteristic
193	C₂²×C₁₉	#447	1	1	yes	characteristic
194	C₂²×C₁₉	#448	1	2	yes	—
195	C₂²×C₁₉	#449	1	1	yes	characteristic
196	C₂²×C₁₉	#454	1	2	yes	—
197	C₂×D₁₉	—	8	2	no	—
198	C₂×D₁₉	—	8	2	no	—
199	C₂×D₁₉	—	8	2	no	—
200	C₂×D₁₉	—	16	2	no	—
201	C₂×D₁₉	—	16	2	no	—
202	C₄×C₁₉	—	2	1	no	—
203	C₄×C₁₉	—	2	1	no	—
204	C₄×C₁₉	—	4	2	no	—
205	C₄×C₁₉	—	8	1	no	—
206	C₄×C₁₉	#447	1	1	yes	characteristic
207	C₄×C₁₉	#449	1	1	yes	characteristic
208	C₄×C₁₉	#461	1	2	yes	—
209	C₄×C₁₉	#466	1	1	yes	characteristic
210	C₄×C₁₉	#469	1	1	yes	characteristic
211	C₄×C₁₉	#492	1	1	yes	characteristic
212	C₄×C₁₉	#497	1	1	yes	characteristic
213	Dic₁₉	—	4	4	no	—
214	Dic₁₉	—	8	2	no	—
215	C₂²×SD₁₆	—	38	1	no	—
216	C₂×C₄⋊Q₈	—	19	1	no	—
217	C₂×C₄⋊Q₈	—	38	1	no	—
218	C₂×#127	—	19	1	no	—
219	C₂×C₄×Q₈	C₂×D₁₉	1	1	yes	characteristic
220	#486	—	38	2	no	—
221	#486	—	38	2	no	—
222	#460	—	38	2	no	—
223	#460	—	38	2	no	—
224	C₂×C₄⋊C₈	—	19	1	no	—
225	C₂×C₄⋊C₈	C₂×D₁₉	1	1	yes	characteristic
226	C₂×#102	—	38	2	no	—
227	C₂×#102	—	38	1	no	—
228	C₂×#102	—	38	2	no	—
229	C₂×C₄×C₈	C₂×D₁₉	1	1	yes	characteristic
230	#398	—	38	2	no	—
231	#391	—	38	1	no	—
232	#389	—	38	2	no	—
233	C₄×C₄⋊C₄	—	19	1	no	—
234	#332	—	38	2	no	—
235	Q₈⋊C₈	—	2	2	no	—
236	C₂×C₁₉	#1626	1	2	yes	—
237	C₂×C₁₉	#1627	1	2	yes	—
238	C₂×C₁₉	#1999	1	1	yes	characteristic
239	C₂×C₁₉	#2003	1	1	yes	characteristic
240	C₂×C₁₉	#2013	1	1	yes	characteristic
241	D₁₉	—	16	2	no	—
242	C₂²×Q₈	—	38	1	no	—
243	C₂²×Q₈	D₇₆	1	1	yes	characteristic
244	C₂²×D₄	—	38	1	no	—
245	C₂²×D₄	—	38	1	no	—
246	C₂²×D₄	—	38	1	no	—
247	C₂×SD₁₆	—	38	4	no	—
248	C₂×SD₁₆	—	76	2	no	—
249	C₂×SD₁₆	—	76	2	no	—
250	C₂²×C₈	—	2	1	no	—
251	C₂²×C₈	—	2	1	no	—
252	C₂²×C₈	—	38	1	no	—
253	C₄⋊Q₈	—	38	1	no	—
254	C₄⋊Q₈	—	38	1	no	—
255	C₄⋊Q₈	—	38	1	no	—
256	C₄⋊Q₈	—	38	1	no	—
257	C₄⋊Q₈	—	76	2	no	—
258	C₄⋊Q₈	—	76	2	no	—
259	#127	—	19	2	no	—
260	#127	—	38	1	no	—
261	#127	—	38	1	no	—
262	#127	—	38	1	no	—
263	C₄×Q₈	—	2	1	no	—
264	C₄×Q₈	—	2	1	no	—
265	C₄×Q₈	—	2	1	no	—
266	C₄×Q₈	—	2	1	no	—
267	C₂×C₄⋊C₄	—	2	1	no	—
268	C₂×C₄⋊C₄	—	19	2	no	—
269	C₂×C₄⋊C₄	—	19	2	no	—
270	C₂×C₄⋊C₄	—	38	4	no	—
271	C₂×C₄⋊C₄	—	38	1	no	—
272	C₂×C₄⋊C₄	D₇₆	1	1	yes	characteristic
273	C₂×C₄²	—	2	1	no	—
274	C₂×C₄²	—	38	1	no	—
275	C₂×C₄²	C₂²×D₁₉	1	1	yes	characteristic
276	C₄⋊C₈	—	2	1	no	—
277	C₄⋊C₈	—	2	1	no	—
278	C₄⋊C₈	—	19	2	no	—
279	C₄⋊C₈	—	38	1	no	—
280	#102	—	38	4	no	—
281	#102	—	38	8	no	—
282	#102	—	76	4	no	—
283	C₄×C₈	—	2	1	no	—
284	C₄×C₈	C₂²⋊D₁₉	1	2	yes	—
285	#95	—	38	4	no	—
286	#95	—	38	1	no	—
287	C₁₉	#10051	1	1	yes	characteristic, complemented, Sylow
288	C₂⁴	—	76	1	no	—
289	C₂×Q₈	—	2	1	no	—
290	C₂×Q₈	—	2	1	no	—
291	C₂×Q₈	—	2	1	no	—
292	C₂×Q₈	—	2	1	no	—
293	C₂×Q₈	—	2	1	no	—
294	C₂×Q₈	—	76	1	no	—
295	C₂×Q₈	—	76	1	no	—
296	C₂×Q₈	—	76	1	no	—
297	C₂×Q₈	—	76	1	no	—
298	C₂×Q₈	—	76	1	no	—
299	C₂×Q₈	—	76	1	no	—
300	C₂×Q₈	D₁₅₂	1	2	yes	—
301	C₂×D₄	—	38	2	no	—
302	C₂×D₄	—	38	2	no	—
303	C₂×D₄	—	38	2	no	—
304	C₂×D₄	—	76	4	no	—
305	C₂×D₄	—	76	1	no	—
306	C₂×D₄	—	76	1	no	—
307	C₂×D₄	—	76	1	no	—
308	C₂×D₄	—	76	1	no	—
309	C₂×D₄	—	76	1	no	—
310	C₂×D₄	—	76	1	no	—
311	C₂×D₄	—	76	1	no	—
312	C₂×D₄	—	76	2	no	—
313	C₂×D₄	—	76	2	no	—
314	C₂²×C₄	—	2	1	no	—
315	C₂²×C₄	—	2	1	no	—
316	C₂²×C₄	—	38	2	no	—
317	C₂²×C₄	—	38	2	no	—
318	C₂²×C₄	C₂×D₇₆	1	1	yes	characteristic
319	C₂²×C₄	D₄×D₁₉	1	1	yes	characteristic
320	C₂²×C₄	D₄×D₁₉	1	1	yes	characteristic
321	SD₁₆	—	76	8	no	—
322	C₂×C₈	—	2	2	no	—
323	C₂×C₈	—	4	2	no	—
324	C₂×C₈	—	4	1	no	—
325	C₂×C₈	—	4	2	no	—
326	C₂×C₈	—	38	2	no	—
327	C₂×C₈	—	76	1	no	—
328	C₂×C₈	—	76	1	no	—
329	C₄⋊C₄	—	2	1	no	—
330	C₄⋊C₄	—	2	1	no	—
331	C₄⋊C₄	—	4	1	no	—
332	C₄⋊C₄	—	4	1	no	—
333	C₄⋊C₄	—	19	4	no	—
334	C₄⋊C₄	—	38	2	no	—
335	C₄⋊C₄	—	38	2	no	—
336	C₄⋊C₄	—	38	2	no	—
337	C₄⋊C₄	—	76	8	no	—
338	C₄⋊C₄	—	76	1	no	—
339	C₄⋊C₄	—	76	1	no	—
340	C₄²	—	4	1	no	—
341	C₄²	—	4	1	no	—
342	C₄²	—	76	1	no	—
343	C₄²	—	76	1	no	—
344	C₄²	#64541	1	1	yes	characteristic
345	C₄²	D₄×D₁₉	1	1	yes	characteristic
346	C₄²	D₄×D₁₉	1	1	yes	characteristic
347	C₄²	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
348	C₂³	—	76	2	no	—
349	C₂³	—	152	1	no	—
350	C₂³	—	152	2	no	—
351	C₂³	—	152	1	no	—
352	C₂³	—	152	2	no	—
353	C₂³	#10597328	1	1	yes	characteristic
354	Q₈	—	2	2	no	—
355	Q₈	—	2	2	no	—
356	Q₈	—	4	1	no	—
357	Q₈	—	4	1	no	—
358	Q₈	—	152	1	no	—
359	Q₈	—	152	1	no	—
360	Q₈	—	152	1	no	—
361	Q₈	—	152	1	no	—
362	D₄	—	76	4	no	—
363	D₄	—	76	2	no	—
364	D₄	—	76	2	no	—
365	D₄	—	76	4	no	—
366	D₄	—	152	2	no	—
367	D₄	—	152	1	no	—
368	D₄	—	152	1	no	—
369	D₄	—	152	1	no	—
370	D₄	—	152	1	no	—
371	C₂×C₄	—	2	2	no	—
372	C₂×C₄	—	2	2	no	—
373	C₂×C₄	—	4	1	no	—
374	C₂×C₄	—	4	1	no	—
375	C₂×C₄	—	4	1	no	—
376	C₂×C₄	—	4	2	no	—
377	C₂×C₄	—	38	4	no	—
378	C₂×C₄	—	76	2	no	—
379	C₂×C₄	—	76	2	no	—
380	C₂×C₄	—	76	2	no	—
381	C₂×C₄	—	76	2	no	—
382	C₂×C₄	—	76	2	no	—
383	C₂×C₄	#10597328	1	1	yes	characteristic
384	C₂×C₄	#10597330	1	1	yes	characteristic
385	C₂×C₄	#10597330	1	1	yes	characteristic
386	C₂×C₄	C₂×D₁₅₂	1	1	yes	characteristic
387	C₂×C₄	#10597350	1	1	yes	characteristic
388	C₂×C₄	#10597354	1	1	yes	characteristic
389	C₂×C₄	#10597354	1	1	yes	characteristic
390	C₂×C₄	SD₁₆×D₁₉	1	2	yes	—
391	C₂×C₄	#10597364	1	2	yes	—
392	C₂×C₄	#10597376	1	1	yes	characteristic
393	C₂×C₄	#10597383	1	1	yes	characteristic
394	C₂×C₄	#10597386	1	1	yes	characteristic
395	C₈	—	4	2	no	—
396	C₈	—	8	1	no	—
397	C₈	—	76	2	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	#11926453	1	1	yes	characteristic
404	C₂²	#11926680	1	1	yes	characteristic
405	C₂²	#11926684	1	2	yes	—
406	C₂²	#11926691	1	1	yes	characteristic
407	C₂²	#11926718	1	2	yes	—
408	C₄	—	2	1	no	—
409	C₄	—	2	1	no	—
410	C₄	—	4	2	no	—
411	C₄	—	8	1	no	—
412	C₄	—	76	4	no	—
413	C₄	—	152	2	no	—
414	C₄	#11926680	1	1	yes	characteristic
415	C₄	#11926691	1	1	yes	characteristic
416	C₄	#11926748	1	2	yes	—
417	C₄	#11926780	1	1	yes	characteristic
418	C₄	#11926797	1	1	yes	characteristic
419	C₄	#11926915	1	1	yes	characteristic
420	C₄	#11926937	1	1	yes	characteristic
421	C₂	—	304	2	no	—
422	C₂	#14562733	1	2	yes	—
423	C₂	#14562740	1	2	yes	—
424	C₂	#14564633	1	1	yes	characteristic
425	C₂	#14564656	1	1	yes	characteristic
426	C₂	#14564719	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	#10597328
commutator, cosocle	C₂×C₄²×C₁₉	C₂³
Frattini	C₂×C₄²	C₂²×D₁₉
Fitting	C₂×C₁₉×Q₈⋊C₈	C₂
socle	C₂³×C₁₉	#120
prime radical	C₂×#10597320	C₂²
hypercenter	C₂×Q₈⋊C₈	D₁₉
hypocenter	C₁₉	#10051
LCS	G ▷ C₂×C₄²×C₁₉ ▷ C₂²×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂³ ◁ C₂×C₄² ◁ C₂×Q₈⋊C₈

Complements

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

N	H ≅ G/N	type
3. #14568620	C₂	semidirect
5. C₂×#11926289	C₂	semidirect
6. #14561475	C₂	semidirect
7. C₂×C₁₉×Q₈⋊C₈	C₂	semidirect
127. C₄⋊Dic₁₉	SD₁₆	semidirect
190. C₂×Q₈⋊C₈	D₁₉	semidirect
287. C₁₉	#10051	semidirect

Maximal subgroups

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

subgroup	index
C₂×#11926891	2
C₂×#11926744	2
#14568620	2
#14564561	2
C₂×#11926289	2
#14561475	2
C₂×C₁₉×Q₈⋊C₈	2
#10051	19