Subgroups — #14577661

Order 2432.

1252 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11927258	C₂	1	1	yes	maximal, characteristic, complemented
2	#11927249	C₂	1	1	yes	maximal, characteristic, complemented
3	#11927242	C₂	1	1	yes	maximal, characteristic, complemented
4	#11927241	C₂	1	1	yes	maximal, characteristic, complemented
5	#11927237	C₂	1	2	yes	maximal, complemented
6	#11927212	C₂	1	1	yes	maximal, characteristic, complemented
7	#11927191	C₂	1	1	yes	maximal, characteristic, complemented
8	#11927188	C₂	1	2	yes	maximal, complemented
9	#11927188	C₂	1	1	yes	maximal, characteristic, complemented
10	#11927183	C₂	1	2	yes	maximal, complemented
11	D₄×C₂²⋊D₁₉	C₂	1	1	yes	maximal, characteristic, complemented
12	D₄×C₂²⋊D₁₉	C₂	1	2	yes	maximal, complemented
13	#11927144	C₂	1	2	yes	maximal, complemented
14	#11927132	C₂	1	2	yes	maximal, complemented
15	#11927126	C₂	1	2	yes	maximal, complemented
16	#11927089	C₂	1	1	yes	maximal, characteristic, complemented
17	#11927075	C₂	1	1	yes	maximal, characteristic, complemented
18	#11927055	C₂	1	1	yes	maximal, characteristic, complemented
19	#11927054	C₂	1	1	yes	maximal, characteristic, complemented
20	#121×D₁₉	C₂	1	1	yes	maximal, characteristic, complemented
21	#11927017	C₂	1	2	yes	maximal, complemented
22	C₂×C₄×C₂²⋊D₁₉	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₁₉×#121	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×D₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
25	C₂²×D₄×C₁₉	C₂²	1	2	yes	complemented
26	C₂³×C₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
27	C₂²×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic
28	C₂²×C₂²⋊D₁₉	C₂²	1	2	yes	—
29	C₂×#64543	C₂²	1	1	yes	characteristic, complemented
30	C₂×#64543	C₂²	1	2	yes	complemented
31	C₂×D₄×D₁₉	C₂²	1	2	yes	complemented
32	C₂×D₄×D₁₉	C₂²	1	1	yes	characteristic, complemented
33	C₂×#64541	C₂²	1	1	yes	characteristic, complemented
34	C₂²×C₄×D₁₉	C₂²	1	1	yes	characteristic, complemented
35	C₁₉×#121	C₂²	1	1	yes	characteristic
36	C₁₉×#121	C₂²	1	1	yes	characteristic, complemented
37	C₁₉×#121	C₂²	1	2	yes	complemented
38	C₁₉×#121	C₂²	1	2	yes	complemented
39	C₁₉×#121	C₂²	1	1	yes	characteristic, complemented
40	C₁₉×#121	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₂²⋊C₄×C₁₉	C₂²	1	2	yes	complemented
43	#10597399	C₂²	1	2	yes	complemented
44	#10597399	C₂²	1	2	yes	complemented
45	#10597399	C₂²	1	2	yes	complemented
46	C₂×C₂²⋊Dic₁₉	C₂²	1	1	yes	characteristic, complemented
47	C₂×C₂²⋊Dic₁₉	C₂²	1	2	yes	complemented
48	#10597386	C₂²	1	1	yes	characteristic, complemented
49	#10597386	C₂²	1	2	yes	complemented
50	#10597385	C₂²	1	2	yes	complemented
51	#10597385	C₂²	1	2	yes	complemented
52	#10597385	C₂²	1	2	yes	complemented
53	#10597385	C₂²	1	2	yes	complemented
54	#10597385	C₂²	1	2	yes	complemented
55	#10597385	C₂²	1	2	yes	complemented
56	#10597384	C₂²	1	1	yes	characteristic, complemented
57	#10597384	C₂²	1	2	yes	complemented
58	#10597384	C₂²	1	2	yes	complemented
59	#10597384	C₂²	1	1	yes	characteristic, complemented
60	#10597383	C₂²	1	2	yes	complemented
61	#10597383	C₂²	1	2	yes	complemented
62	#10597383	C₂²	1	2	yes	complemented
63	#10597382	C₂²	1	1	yes	characteristic, complemented
64	#10597382	C₂²	1	2	yes	complemented
65	#10597381	C₂²	1	2	yes	complemented
66	#10597381	C₂²	1	2	yes	complemented
67	#10597381	C₂²	1	2	yes	complemented
68	D₄×Dic₁₉	C₂²	1	2	yes	complemented
69	D₄×Dic₁₉	C₂²	1	2	yes	complemented
70	D₄×Dic₁₉	C₂²	1	1	yes	characteristic, complemented
71	D₄×Dic₁₉	C₂²	1	1	yes	characteristic, complemented
72	#10597376	C₂²	1	1	yes	characteristic, complemented
73	#10597376	C₂²	1	1	yes	characteristic, complemented
74	#10597376	C₂²	1	2	yes	complemented
75	#10597375	C₂²	1	2	yes	complemented
76	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic
77	C₄×C₂²⋊D₁₉	C₂²	1	2	yes	—
78	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic
79	C₄×C₂²⋊D₁₉	C₂²	1	2	yes	complemented
80	C₄×C₂²⋊D₁₉	C₂²	1	2	yes	complemented
81	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic, complemented
82	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic, complemented
83	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic, complemented
84	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic, complemented
85	C₄×C₂²⋊D₁₉	C₂²	1	2	yes	complemented
86	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic, complemented
87	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic, complemented
88	C₂×(C₂×D₁₉)⋊C₄	C₂²	1	1	yes	characteristic, complemented
89	#10597372	C₂²	1	1	yes	characteristic, complemented
90	#10597370	C₂²	1	1	yes	characteristic, complemented
91	#10597370	C₂²	1	1	yes	characteristic, complemented
92	#10597370	C₂²	1	2	yes	complemented
93	C₂×Dic₁₉⋊C₄	C₂²	1	1	yes	characteristic, complemented
94	C₂×C₄×Dic₁₉	C₂²	1	1	yes	characteristic, complemented
95	#10597344	C₂²	1	2	yes	complemented
96	#10597343	C₂²	1	1	yes	characteristic, complemented
97	#10597342	C₂²	1	2	yes	complemented
98	#10597341	C₂²	1	1	yes	characteristic, complemented
99	#10597340	C₂²	1	2	yes	complemented
100	#10597339	C₂²	1	1	yes	characteristic, complemented
101	#10597338	C₂²	1	1	yes	characteristic, complemented
102	C₄⋊C₄×D₁₉	C₂²	1	1	yes	characteristic, complemented
103	#10597336	C₂²	1	1	yes	characteristic, complemented
104	#10597335	C₂²	1	2	yes	complemented
105	#10597334	C₂²	1	1	yes	characteristic, complemented
106	#10597333	C₂²	1	1	yes	characteristic, complemented
107	#10597331	C₂²	1	2	yes	complemented
108	#10597331	C₂²	1	2	yes	complemented
109	#10597330	C₂²	1	2	yes	complemented
110	#10597330	C₂²	1	2	yes	complemented
111	#10597329	C₂²	1	2	yes	complemented
112	#10597329	C₂²	1	2	yes	complemented
113	(C₂²⋊D₁₉)⋊C₄	C₂²	1	2	yes	complemented
114	(C₂²⋊D₁₉)⋊C₄	C₂²	1	2	yes	complemented
115	(C₂²⋊D₁₉)⋊C₄	C₂²	1	2	yes	complemented
116	(C₂²⋊D₁₉)⋊C₄	C₂²	1	2	yes	complemented
117	C₂²⋊C₄×D₁₉	C₂²	1	2	yes	complemented
118	C₂²⋊C₄×D₁₉	C₂²	1	2	yes	complemented
119	#10597325	C₂²	1	2	yes	complemented
120	#10597325	C₂²	1	2	yes	complemented
121	#10597323	C₂²	1	2	yes	complemented
122	#10597323	C₂²	1	2	yes	complemented
123	C₂⁴×C₁₉	C₂³	1	1	yes	characteristic
124	C₂⁴×C₁₉	C₂³	1	2	yes	—
125	C₂³×D₁₉	C₂³	1	1	yes	characteristic
126	C₂³×D₁₉	C₂³	1	2	yes	—
127	C₂×D₄×C₁₉	—	4	2	no	—
128	C₂×D₄×C₁₉	—	4	4	no	—
129	C₂×D₄×C₁₉	C₂³	1	2	yes	—
130	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
131	C₂×D₄×C₁₉	C₂³	1	2	yes	—
132	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
133	C₂×D₄×C₁₉	C₂³	1	2	yes	—
134	C₂×D₄×C₁₉	C₂³	1	2	yes	—
135	C₂×D₄×C₁₉	C₂³	1	2	yes	—
136	C₂²×C₄×C₁₉	—	4	2	no	—
137	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
138	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
139	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
140	C₂²×C₄×C₁₉	C₂³	1	2	yes	—
141	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
142	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
143	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
144	C₂×C₂²⋊D₁₉	—	2	4	no	—
145	C₂×C₂²⋊D₁₉	—	2	8	no	—
146	C₂×C₂²⋊D₁₉	C₂³	1	2	yes	—
147	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
148	C₂×C₂²⋊D₁₉	C₂³	1	2	yes	—
149	C₂×C₂²⋊D₁₉	C₂³	1	2	yes	—
150	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
151	C₂×C₂²⋊D₁₉	C₂³	1	2	yes	—
152	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
153	C₂×C₂²⋊D₁₉	C₂³	1	2	yes	—
154	C₂×C₂²⋊D₁₉	C₂³	1	2	yes	—
155	C₂×C₂²⋊D₁₉	C₂³	1	2	yes	—
156	C₂×C₂²⋊D₁₉	C₂³	1	2	yes	—
157	C₂×C₂²⋊D₁₉	C₂³	1	2	yes	—
158	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
159	C₂²×Dic₁₉	C₂³	1	2	yes	—
160	C₂²×Dic₁₉	C₂³	1	1	yes	characteristic
161	C₂²×Dic₁₉	C₂³	1	1	yes	characteristic
162	C₂²×Dic₁₉	C₂³	1	1	yes	characteristic
163	C₂²×Dic₁₉	C₂³	1	2	yes	—
164	C₂²×Dic₁₉	C₂³	1	2	yes	—
165	#64543	—	4	2	no	—
166	#64543	—	4	4	no	—
167	D₄×D₁₉	—	4	2	no	—
168	D₄×D₁₉	—	4	4	no	—
169	#64541	—	4	2	no	—
170	C₂×D₇₆	C₂³	1	1	yes	characteristic
171	C₂×D₇₆	C₂³	1	2	yes	—
172	C₂×C₄×D₁₉	—	4	2	no	—
173	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
174	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
175	C₂×C₄×D₁₉	C₂³	1	2	yes	—
176	C₂×C₄×D₁₉	C₂³	1	2	yes	—
177	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
178	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
179	C₂×C₄×D₁₉	C₂³	1	2	yes	—
180	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
181	C₂×Dic₃₈	C₂³	1	2	yes	—
182	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
183	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
184	C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
185	C₂²⋊C₄×C₁₉	C₂³	1	2	yes	—
186	C₂²⋊C₄×C₁₉	C₂³	1	2	yes	—
187	C₂²⋊C₄×C₁₉	C₂³	1	2	yes	—
188	C₂²⋊C₄×C₁₉	C₂³	1	2	yes	—
189	C₂²⋊Dic₁₉	C₂³	1	2	yes	—
190	C₂²⋊Dic₁₉	C₂³	1	2	yes	—
191	C₂²⋊Dic₁₉	C₂³	1	2	yes	—
192	C₂²⋊Dic₁₉	C₂³	1	2	yes	—
193	C₂²⋊Dic₁₉	C₂³	1	2	yes	—
194	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
195	C₂²⋊Dic₁₉	C₂³	1	2	yes	—
196	C₂²⋊Dic₁₉	C₂³	1	2	yes	—
197	C₂²⋊Dic₁₉	C₂³	1	2	yes	—
198	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
199	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
200	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
201	C₂²⋊Dic₁₉	C₂³	1	2	yes	—
202	(C₂×D₁₉)⋊C₄	C₂³	1	2	yes	—
203	(C₂×D₁₉)⋊C₄	C₂³	1	2	yes	—
204	(C₂×D₁₉)⋊C₄	C₂³	1	2	yes	—
205	(C₂×D₁₉)⋊C₄	C₂³	1	2	yes	—
206	(C₂×D₁₉)⋊C₄	C₂³	1	2	yes	—
207	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
208	(C₂×D₁₉)⋊C₄	C₂³	1	2	yes	—
209	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
210	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
211	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
212	C₄⋊Dic₁₉	C₂³	1	2	yes	—
213	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
214	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
215	C₄⋊Dic₁₉	C₂³	1	2	yes	—
216	Dic₁₉⋊C₄	C₂³	1	2	yes	—
217	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
218	Dic₁₉⋊C₄	C₂³	1	2	yes	—
219	Dic₁₉⋊C₄	C₂³	1	2	yes	—
220	Dic₁₉⋊C₄	C₂³	1	2	yes	—
221	Dic₁₉⋊C₄	C₂³	1	2	yes	—
222	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
223	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
224	Dic₁₉⋊C₄	C₂³	1	2	yes	—
225	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
226	C₄×Dic₁₉	C₂³	1	2	yes	—
227	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
228	C₄×Dic₁₉	C₂³	1	2	yes	—
229	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
230	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
231	C₄×Dic₁₉	C₂³	1	2	yes	—
232	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
233	C₂³×C₁₉	—	2	2	no	—
234	C₂³×C₁₉	—	2	2	no	—
235	C₂³×C₁₉	—	2	4	no	—
236	C₂³×C₁₉	—	4	1	no	—
237	C₂³×C₁₉	—	4	2	no	—
238	C₂³×C₁₉	—	4	2	no	—
239	C₂³×C₁₉	C₂⁴	1	2	yes	—
240	C₂³×C₁₉	C₂⁴	1	1	yes	characteristic
241	C₂³×C₁₉	C₂⁴	1	2	yes	—
242	C₂³×C₁₉	C₂⁴	1	1	yes	characteristic
243	C₂³×C₁₉	C₂⁴	1	1	yes	characteristic
244	C₂²×D₁₉	—	2	2	no	—
245	C₂²×D₁₉	—	2	2	no	—
246	C₂²×D₁₉	—	2	4	no	—
247	C₂²×D₁₉	—	4	1	no	—
248	C₂²×D₁₉	—	4	2	no	—
249	C₂²×D₁₉	—	4	2	no	—
250	C₂²×D₁₉	C₂⁴	1	1	yes	characteristic
251	C₂²×D₁₉	C₂⁴	1	2	yes	—
252	C₂²×D₁₉	C₂⁴	1	1	yes	characteristic
253	D₄×C₁₉	—	2	4	no	—
254	D₄×C₁₉	—	2	4	no	—
255	D₄×C₁₉	—	2	2	no	—
256	D₄×C₁₉	—	2	2	no	—
257	D₄×C₁₉	—	4	2	no	—
258	D₄×C₁₉	—	4	2	no	—
259	D₄×C₁₉	—	4	2	no	—
260	C₂×C₄×C₁₉	—	2	2	no	—
261	C₂×C₄×C₁₉	—	2	2	no	—
262	C₂×C₄×C₁₉	—	2	2	no	—
263	C₂×C₄×C₁₉	—	4	1	no	—
264	C₂×C₄×C₁₉	—	4	1	no	—
265	C₂×C₄×C₁₉	—	4	1	no	—
266	C₂×C₄×C₁₉	—	4	2	no	—
267	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
268	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
269	C₂×C₄×C₁₉	C₂⁴	1	2	yes	—
270	C₂×C₄×C₁₉	C₂⁴	1	2	yes	—
271	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
272	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
273	C₂²⋊D₁₉	—	2	2	no	—
274	C₂²⋊D₁₉	—	2	4	no	—
275	C₂²⋊D₁₉	—	2	4	no	—
276	C₂²⋊D₁₉	—	2	4	no	—
277	C₂²⋊D₁₉	—	2	2	no	—
278	C₂²⋊D₁₉	—	2	4	no	—
279	C₂²⋊D₁₉	—	2	2	no	—
280	C₂²⋊D₁₉	—	4	2	no	—
281	C₂²⋊D₁₉	—	4	2	no	—
282	C₂²⋊D₁₉	—	4	2	no	—
283	C₂²⋊D₁₉	—	4	2	no	—
284	C₂²⋊D₁₉	—	4	2	no	—
285	C₂²⋊D₁₉	#41	1	4	yes	complemented
286	C₂×Dic₁₉	—	2	2	no	—
287	C₂×Dic₁₉	—	2	2	no	—
288	C₂×Dic₁₉	—	2	4	no	—
289	C₂×Dic₁₉	—	4	1	no	—
290	C₂×Dic₁₉	—	4	2	no	—
291	C₂×Dic₁₉	—	4	2	no	—
292	C₂×Dic₁₉	C₂⁴	1	2	yes	—
293	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
294	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
295	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
296	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
297	C₂×Dic₁₉	C₂⁴	1	2	yes	—
298	C₂×Dic₁₉	C₂⁴	1	2	yes	—
299	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
300	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
301	D₇₆	—	2	2	no	—
302	D₇₆	—	4	2	no	—
303	C₄×D₁₉	—	2	2	no	—
304	C₄×D₁₉	—	2	2	no	—
305	C₄×D₁₉	—	4	1	no	—
306	C₄×D₁₉	—	4	1	no	—
307	C₄×D₁₉	—	4	2	no	—
308	C₄×D₁₉	—	4	2	no	—
309	C₄×D₁₉	—	4	2	no	—
310	Dic₃₈	—	2	2	no	—
311	Dic₃₈	—	4	2	no	—
312	#3519	—	19	1	no	maximal, Sylow
313	C₂²×C₁₉	—	2	1	no	—
314	C₂²×C₁₉	—	2	1	no	—
315	C₂²×C₁₉	—	2	1	no	—
316	C₂²×C₁₉	—	2	1	no	—
317	C₂²×C₁₉	—	2	2	no	—
318	C₂²×C₁₉	—	2	1	no	—
319	C₂²×C₁₉	—	2	2	no	—
320	C₂²×C₁₉	—	2	2	no	—
321	C₂²×C₁₉	—	2	2	no	—
322	C₂²×C₁₉	—	2	1	no	—
323	C₂²×C₁₉	—	2	2	no	—
324	C₂²×C₁₉	—	2	2	no	—
325	C₂²×C₁₉	—	2	1	no	—
326	C₂²×C₁₉	—	4	4	no	—
327	C₂²×C₁₉	—	8	4	no	—
328	C₂²×C₁₉	C₂×#41	1	2	yes	—
329	C₂²×C₁₉	H(5,𝔽₂)	1	2	yes	—
330	C₂²×C₁₉	C₂⁵	1	1	yes	characteristic
331	C₂×D₁₉	—	2	1	no	—
332	C₂×D₁₉	—	2	1	no	—
333	C₂×D₁₉	—	2	1	no	—
334	C₂×D₁₉	—	2	2	no	—
335	C₂×D₁₉	—	2	1	no	—
336	C₂×D₁₉	—	2	2	no	—
337	C₂×D₁₉	—	2	2	no	—
338	C₂×D₁₉	—	2	1	no	—
339	C₂×D₁₉	—	4	4	no	—
340	C₂×D₁₉	—	8	4	no	—
341	C₂×D₁₉	C₂×#41	1	2	yes	—
342	C₄×C₁₉	—	2	2	no	—
343	C₄×C₁₉	—	2	1	no	—
344	C₄×C₁₉	—	2	1	no	—
345	C₄×C₁₉	—	2	2	no	—
346	C₄×C₁₉	—	2	1	no	—
347	C₄×C₁₉	H(5,𝔽₂)	1	2	yes	—
348	Dic₁₉	—	2	1	no	—
349	Dic₁₉	—	2	2	no	—
350	Dic₁₉	—	2	2	no	—
351	Dic₁₉	—	2	1	no	—
352	Dic₁₉	—	2	2	no	—
353	Dic₁₉	—	2	1	no	—
354	Dic₁₉	—	2	1	no	—
355	Dic₁₉	—	2	1	no	—
356	Dic₁₉	C₂×#41	1	2	yes	—
357	#555	—	19	1	no	—
358	#554	—	19	1	no	—
359	#553	—	19	2	no	—
360	#553	—	19	1	no	—
361	#553	—	19	1	no	—
362	#550	—	19	1	no	—
363	#546	—	19	2	no	—
364	#546	—	19	1	no	—
365	#546	—	19	2	no	—
366	#546	—	19	1	no	—
367	D₄²	—	19	2	no	—
368	D₄²	—	19	1	no	—
369	#540	—	19	2	no	—
370	#538	—	19	2	no	—
371	#538	—	19	2	no	—
372	#532	—	19	1	no	—
373	#529	—	19	1	no	—
374	#525	—	19	1	no	—
375	#525	—	19	1	no	—
376	C₂×#121	—	19	1	no	—
377	C₂×#121	D₁₉	1	1	yes	characteristic, complemented
378	#518	—	19	2	no	—
379	C₂×C₄×D₄	—	19	1	no	—
380	C₂×C₁₉	—	2	2	no	—
381	C₂×C₁₉	—	2	2	no	—
382	C₂×C₁₉	—	4	2	no	—
383	C₂×C₁₉	—	4	1	no	—
384	C₂×C₁₉	—	4	2	no	—
385	C₂×C₁₉	C₂²×#41	1	1	yes	characteristic
386	C₂×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
387	C₂×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
388	D₁₉	—	2	2	no	—
389	D₁₉	—	4	1	no	—
390	D₁₉	—	4	2	no	—
391	C₂×#41	—	19	1	no	—
392	C₂×#41	—	19	2	no	—
393	C₂×#41	—	19	1	no	—
394	C₂²×D₄	—	19	1	no	—
395	C₂²×D₄	—	19	2	no	—
396	C₂²×D₄	—	19	1	no	—
397	C₂²×D₄	—	19	2	no	—
398	C₂²×D₄	C₂×D₁₉	1	1	yes	characteristic, complemented
399	C₂²×D₄	C₂×D₁₉	1	2	yes	complemented
400	C₂³×C₄	—	19	1	no	—
401	C₂³×C₄	C₂×D₁₉	1	1	yes	characteristic, complemented
402	C₄⋊Q₈	—	19	1	no	—
403	#127	—	19	1	no	—
404	#127	—	19	2	no	—
405	#126	—	19	2	no	—
406	#126	—	19	2	no	—
407	#126	—	19	2	no	—
408	#125	—	19	1	no	—
409	#125	—	19	2	no	—
410	#124	—	19	1	no	—
411	#124	—	19	2	no	—
412	#124	—	19	2	no	—
413	#124	—	19	2	no	—
414	#123	—	19	2	no	—
415	#123	—	19	2	no	—
416	#123	—	19	2	no	—
417	#123	—	19	2	no	—
418	#123	—	19	2	no	—
419	#123	—	19	2	no	—
420	#123	—	19	2	no	—
421	C₂²⋊Q₈	—	19	1	no	—
422	C₂²⋊Q₈	—	19	1	no	—
423	C₂²⋊Q₈	—	19	2	no	—
424	C₂²⋊Q₈	—	19	1	no	—
425	C₂²⋊Q₈	—	19	2	no	—
426	#121	—	19	1	no	—
427	#121	—	19	1	no	—
428	#121	—	19	2	no	—
429	#121	—	19	2	no	—
430	#121	—	19	2	no	—
431	#121	—	19	2	no	—
432	#121	—	19	2	no	—
433	#121	—	19	2	no	—
434	#121	—	19	2	no	—
435	#121	—	19	2	no	—
436	#121	—	19	1	no	—
437	#121	—	19	1	no	—
438	#121	—	19	2	no	—
439	#121	—	19	1	no	—
440	#121	—	19	2	no	—
441	#121	—	19	2	no	—
442	#121	C₂×D₁₉	1	1	yes	characteristic
443	#121	C₂×D₁₉	1	1	yes	characteristic, complemented
444	#121	C₂×D₁₉	1	2	yes	complemented
445	#121	C₂×D₁₉	1	2	yes	complemented
446	#121	C₂×D₁₉	1	1	yes	characteristic, complemented
447	#121	C₂×D₁₉	1	1	yes	characteristic, complemented
448	#120	—	19	2	no	—
449	#120	—	19	2	no	—
450	#120	—	19	2	no	—
451	#120	—	19	2	no	—
452	#120	—	19	2	no	—
453	#120	—	19	2	no	—
454	C₄×Q₈	—	19	1	no	—
455	C₄×D₄	—	19	2	no	—
456	C₄×D₄	—	19	2	no	—
457	C₄×D₄	—	19	1	no	—
458	C₄×D₄	—	19	1	no	—
459	C₄×D₄	—	19	1	no	—
460	C₄×D₄	—	19	1	no	—
461	C₄×D₄	—	19	1	no	—
462	C₄×D₄	—	19	1	no	—
463	C₄×D₄	—	19	1	no	—
464	C₄×D₄	—	19	1	no	—
465	C₄×D₄	—	19	1	no	—
466	C₄×D₄	—	19	1	no	—
467	C₄×D₄	—	19	2	no	—
468	C₄×D₄	—	19	2	no	—
469	C₄×D₄	—	19	2	no	—
470	C₄×D₄	—	19	2	no	—
471	C₄×D₄	—	19	1	no	—
472	C₄×D₄	—	19	2	no	—
473	C₄×D₄	—	19	2	no	—
474	C₄×D₄	—	19	2	no	—
475	C₄×D₄	—	19	2	no	—
476	#117	—	19	1	no	—
477	#117	—	19	1	no	—
478	#117	—	19	2	no	—
479	#117	—	19	2	no	—
480	C₂×C₄⋊C₄	—	19	1	no	—
481	C₂×C₄⋊C₄	—	19	1	no	—
482	C₂×C₄⋊C₄	C₂×D₁₉	1	1	yes	characteristic, complemented
483	C₂×C₂²⋊C₄	—	19	1	no	—
484	C₂×C₂²⋊C₄	—	19	2	no	—
485	C₂×C₂²⋊C₄	—	19	1	no	—
486	C₂×C₂²⋊C₄	—	19	2	no	—
487	C₂×C₂²⋊C₄	—	19	2	no	—
488	C₂×C₂²⋊C₄	C₂×D₁₉	1	2	yes	complemented
489	C₂×C₄²	—	19	1	no	—
490	C₁₉	#3519	1	1	yes	characteristic, complemented, Sylow
491	C₂⁴	—	19	1	no	—
492	C₂⁴	—	19	2	no	—
493	C₂⁴	C₂²×D₁₉	1	1	yes	characteristic
494	C₂⁴	C₂²×D₁₉	1	2	yes	—
495	#41	—	76	2	no	—
496	#41	—	76	4	no	—
497	#41	—	76	2	no	—
498	C₂×Q₈	—	19	1	no	—
499	C₂×Q₈	—	19	2	no	—
500	C₂×D₄	—	4	2	no	—
501	C₂×D₄	—	4	4	no	—
502	C₂×D₄	—	19	1	no	—
503	C₂×D₄	—	19	1	no	—
504	C₂×D₄	—	19	2	no	—
505	C₂×D₄	—	19	1	no	—
506	C₂×D₄	—	19	2	no	—
507	C₂×D₄	—	19	1	no	—
508	C₂×D₄	—	19	2	no	—
509	C₂×D₄	—	19	2	no	—
510	C₂×D₄	—	19	2	no	—
511	C₂×D₄	—	19	2	no	—
512	C₂×D₄	—	19	2	no	—
513	C₂×D₄	—	19	2	no	—
514	C₂×D₄	—	19	2	no	—
515	C₂×D₄	—	19	1	no	—
516	C₂×D₄	—	19	2	no	—
517	C₂×D₄	—	38	4	no	—
518	C₂×D₄	—	38	8	no	—
519	C₂×D₄	—	76	2	no	—
520	C₂×D₄	—	76	4	no	—
521	C₂×D₄	C₂²×D₁₉	1	2	yes	—
522	C₂×D₄	C₂²×D₁₉	1	2	yes	—
523	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
524	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
525	C₂×D₄	C₂²×D₁₉	1	2	yes	—
526	C₂×D₄	C₂²×D₁₉	1	2	yes	—
527	C₂×D₄	C₂²×D₁₉	1	2	yes	—
528	C₂²×C₄	—	4	2	no	—
529	C₂²×C₄	—	19	1	no	—
530	C₂²×C₄	—	19	1	no	—
531	C₂²×C₄	—	19	2	no	—
532	C₂²×C₄	—	19	1	no	—
533	C₂²×C₄	—	19	2	no	—
534	C₂²×C₄	—	19	2	no	—
535	C₂²×C₄	—	19	1	no	—
536	C₂²×C₄	—	19	1	no	—
537	C₂²×C₄	—	19	1	no	—
538	C₂²×C₄	—	19	2	no	—
539	C₂²×C₄	—	19	2	no	—
540	C₂²×C₄	—	19	2	no	—
541	C₂²×C₄	—	19	1	no	—
542	C₂²×C₄	—	76	2	no	—
543	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
544	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
545	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
546	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
547	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
548	C₂²×C₄	C₂²×D₁₉	1	2	yes	—
549	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
550	C₄⋊C₄	—	19	1	no	—
551	C₄⋊C₄	—	19	1	no	—
552	C₄⋊C₄	—	19	1	no	—
553	C₄⋊C₄	—	19	1	no	—
554	C₄⋊C₄	—	19	2	no	—
555	C₄⋊C₄	—	19	2	no	—
556	C₄⋊C₄	—	19	2	no	—
557	C₄⋊C₄	—	19	2	no	—
558	C₄⋊C₄	—	19	2	no	—
559	C₄⋊C₄	—	19	2	no	—
560	C₄⋊C₄	—	19	1	no	—
561	C₄⋊C₄	—	19	1	no	—
562	C₄⋊C₄	—	19	2	no	—
563	C₄⋊C₄	—	19	2	no	—
564	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
565	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
566	C₄⋊C₄	C₂²×D₁₉	1	2	yes	—
567	C₂²⋊C₄	—	19	1	no	—
568	C₂²⋊C₄	—	19	2	no	—
569	C₂²⋊C₄	—	19	2	no	—
570	C₂²⋊C₄	—	19	1	no	—
571	C₂²⋊C₄	—	19	2	no	—
572	C₂²⋊C₄	—	19	1	no	—
573	C₂²⋊C₄	—	19	1	no	—
574	C₂²⋊C₄	—	19	2	no	—
575	C₂²⋊C₄	—	19	2	no	—
576	C₂²⋊C₄	—	19	2	no	—
577	C₂²⋊C₄	—	19	2	no	—
578	C₂²⋊C₄	—	19	2	no	—
579	C₂²⋊C₄	—	19	2	no	—
580	C₂²⋊C₄	—	19	1	no	—
581	C₂²⋊C₄	—	19	1	no	—
582	C₂²⋊C₄	—	19	2	no	—
583	C₂²⋊C₄	—	19	2	no	—
584	C₂²⋊C₄	—	19	1	no	—
585	C₂²⋊C₄	—	19	2	no	—
586	C₂²⋊C₄	—	19	1	no	—
587	C₂²⋊C₄	—	19	2	no	—
588	C₂²⋊C₄	—	19	2	no	—
589	C₂²⋊C₄	—	19	2	no	—
590	C₂²⋊C₄	C₂²×D₁₉	1	2	yes	—
591	C₂²⋊C₄	C₂²×D₁₉	1	2	yes	—
592	C₂²⋊C₄	C₂²×D₁₉	1	2	yes	—
593	C₂²⋊C₄	C₂²×D₁₉	1	2	yes	—
594	C₄²	—	19	1	no	—
595	C₄²	—	19	1	no	—
596	C₄²	—	19	1	no	—
597	C₄²	—	19	1	no	—
598	C₄²	—	19	2	no	—
599	C₄²	—	19	2	no	—
600	C₄²	—	19	2	no	—
601	C₂³	—	2	2	no	—
602	C₂³	—	2	2	no	—
603	C₂³	—	2	4	no	—
604	C₂³	—	4	1	no	—
605	C₂³	—	4	2	no	—
606	C₂³	—	4	2	no	—
607	C₂³	—	19	1	no	—
608	C₂³	—	19	1	no	—
609	C₂³	—	19	2	no	—
610	C₂³	—	38	2	no	—
611	C₂³	—	38	4	no	—
612	C₂³	—	38	2	no	—
613	C₂³	—	76	1	no	—
614	C₂³	—	76	2	no	—
615	C₂³	—	76	2	no	—
616	C₂³	C₂³×D₁₉	1	2	yes	—
617	C₂³	C₂³×D₁₉	1	1	yes	characteristic
618	C₂³	C₂³×D₁₉	1	2	yes	—
619	C₂³	C₂³×D₁₉	1	1	yes	characteristic
620	C₂³	C₂³×D₁₉	1	1	yes	characteristic
621	Q₈	—	38	2	no	—
622	Q₈	—	76	2	no	—
623	D₄	—	2	4	no	—
624	D₄	—	2	4	no	—
625	D₄	—	2	2	no	—
626	D₄	—	2	2	no	—
627	D₄	—	4	2	no	—
628	D₄	—	4	2	no	—
629	D₄	—	4	2	no	—
630	D₄	—	19	4	no	—
631	D₄	—	38	2	no	—
632	D₄	—	38	4	no	—
633	D₄	—	38	2	no	—
634	D₄	—	38	4	no	—
635	D₄	—	38	4	no	—
636	D₄	—	38	2	no	—
637	D₄	—	38	4	no	—
638	D₄	—	38	2	no	—
639	D₄	—	76	2	no	—
640	D₄	—	76	2	no	—
641	D₄	—	76	2	no	—
642	D₄	—	76	2	no	—
643	D₄	—	76	2	no	—
644	D₄	—	76	2	no	—
645	C₂×C₄	—	2	2	no	—
646	C₂×C₄	—	2	2	no	—
647	C₂×C₄	—	2	2	no	—
648	C₂×C₄	—	4	1	no	—
649	C₂×C₄	—	4	1	no	—
650	C₂×C₄	—	4	1	no	—
651	C₂×C₄	—	4	2	no	—
652	C₂×C₄	—	19	1	no	—
653	C₂×C₄	—	19	1	no	—
654	C₂×C₄	—	19	2	no	—
655	C₂×C₄	—	19	1	no	—
656	C₂×C₄	—	19	1	no	—
657	C₂×C₄	—	19	1	no	—
658	C₂×C₄	—	19	2	no	—
659	C₂×C₄	—	19	2	no	—
660	C₂×C₄	—	19	1	no	—
661	C₂×C₄	—	38	2	no	—
662	C₂×C₄	—	38	4	no	—
663	C₂×C₄	—	38	2	no	—
664	C₂×C₄	—	38	2	no	—
665	C₂×C₄	—	38	2	no	—
666	C₂×C₄	—	76	1	no	—
667	C₂×C₄	—	76	1	no	—
668	C₂×C₄	—	76	2	no	—
669	C₂×C₄	—	76	2	no	—
670	C₂×C₄	—	76	2	no	—
671	C₂×C₄	—	76	1	no	—
672	C₂×C₄	—	76	2	no	—
673	C₂×C₄	—	76	2	no	—
674	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
675	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
676	C₂×C₄	C₂³×D₁₉	1	2	yes	—
677	C₂×C₄	C₂³×D₁₉	1	2	yes	—
678	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
679	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
680	C₂²	—	2	1	no	—
681	C₂²	—	2	1	no	—
682	C₂²	—	2	1	no	—
683	C₂²	—	2	1	no	—
684	C₂²	—	2	2	no	—
685	C₂²	—	2	1	no	—
686	C₂²	—	2	2	no	—
687	C₂²	—	2	1	no	—
688	C₂²	—	2	2	no	—
689	C₂²	—	2	2	no	—
690	C₂²	—	2	2	no	—
691	C₂²	—	2	2	no	—
692	C₂²	—	2	1	no	—
693	C₂²	—	4	4	no	—
694	C₂²	—	8	4	no	—
695	C₂²	—	19	2	no	—
696	C₂²	—	38	1	no	—
697	C₂²	—	38	1	no	—
698	C₂²	—	38	1	no	—
699	C₂²	—	38	2	no	—
700	C₂²	—	38	1	no	—
701	C₂²	—	38	2	no	—
702	C₂²	—	38	2	no	—
703	C₂²	—	38	1	no	—
704	C₂²	—	76	4	no	—
705	C₂²	—	152	4	no	—
706	C₂²	#10597430	1	2	yes	—
707	C₂²	#41×D₁₉	1	2	yes	—
708	C₂²	C₂⁴×D₁₉	1	1	yes	characteristic
709	C₄	—	2	1	no	—
710	C₄	—	2	1	no	—
711	C₄	—	2	1	no	—
712	C₄	—	2	2	no	—
713	C₄	—	2	2	no	—
714	C₄	—	19	2	no	—
715	C₄	—	38	1	no	—
716	C₄	—	38	2	no	—
717	C₄	—	38	1	no	—
718	C₄	—	38	1	no	—
719	C₄	—	38	1	no	—
720	C₄	—	38	1	no	—
721	C₄	—	38	2	no	—
722	C₄	—	38	2	no	—
723	C₄	#10597430	1	2	yes	—
724	C₂	—	2	2	no	—
725	C₂	—	2	2	no	—
726	C₂	—	4	1	no	—
727	C₂	—	4	2	no	—
728	C₂	—	4	2	no	—
729	C₂	—	38	2	no	—
730	C₂	—	76	1	no	—
731	C₂	—	76	2	no	—
732	C₂	C₂×#41×D₁₉	1	1	yes	characteristic
733	C₂	C₂×#10597430	1	1	yes	characteristic
734	C₂	C₂×#10597430	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₁₉
commutator, socle, cosocle	C₂²×C₁₉	C₂⁵
Fitting	C₂×C₁₉×#121	C₂
hypercenter	C₂×#121	D₁₉
hypocenter	C₁₉	#3519
LCS	G ▷ C₂²×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂² ◁ C₂×#121

Complements

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

N	H ≅ G/N	type
1. #11927258	C₂	semidirect
2. #11927249	C₂	semidirect
3. #11927242	C₂	semidirect
4. #11927241	C₂	semidirect
5. #11927237	C₂	semidirect
6. #11927212	C₂	semidirect
7. #11927191	C₂	semidirect
8. #11927188	C₂	semidirect
9. #11927188	C₂	semidirect
10. #11927183	C₂	semidirect
11. D₄×C₂²⋊D₁₉	C₂	semidirect
12. D₄×C₂²⋊D₁₉	C₂	semidirect
13. #11927144	C₂	semidirect
14. #11927132	C₂	semidirect
15. #11927126	C₂	semidirect
16. #11927089	C₂	semidirect
17. #11927075	C₂	semidirect
18. #11927055	C₂	semidirect
19. #11927054	C₂	semidirect
20. #121×D₁₉	C₂	semidirect
21. #11927017	C₂	semidirect
22. C₂×C₄×C₂²⋊D₁₉	C₂	semidirect
23. C₂×C₁₉×#121	C₂	semidirect
24. C₂²×D₄×C₁₉	C₂²	semidirect
25. C₂²×D₄×C₁₉	C₂²	semidirect
26. C₂³×C₄×C₁₉	C₂²	semidirect
29. C₂×#64543	C₂²	semidirect
30. C₂×#64543	C₂²	semidirect
31. C₂×D₄×D₁₉	C₂²	semidirect
32. C₂×D₄×D₁₉	C₂²	semidirect
33. C₂×#64541	C₂²	semidirect
34. C₂²×C₄×D₁₉	C₂²	semidirect
36. C₁₉×#121	C₂²	semidirect
37. C₁₉×#121	C₂²	semidirect
38. C₁₉×#121	C₂²	semidirect
39. C₁₉×#121	C₂²	semidirect
40. C₁₉×#121	C₂²	semidirect
41. C₂×C₄⋊C₄×C₁₉	C₂²	semidirect
42. C₂×C₂²⋊C₄×C₁₉	C₂²	semidirect
43. #10597399	C₂²	semidirect
44. #10597399	C₂²	semidirect
45. #10597399	C₂²	semidirect
46. C₂×C₂²⋊Dic₁₉	C₂²	semidirect
47. C₂×C₂²⋊Dic₁₉	C₂²	semidirect
48. #10597386	C₂²	semidirect
49. #10597386	C₂²	semidirect
50. #10597385	C₂²	semidirect
51. #10597385	C₂²	semidirect
52. #10597385	C₂²	semidirect
53. #10597385	C₂²	semidirect
54. #10597385	C₂²	semidirect
55. #10597385	C₂²	semidirect
56. #10597384	C₂²	semidirect
57. #10597384	C₂²	semidirect
58. #10597384	C₂²	semidirect
59. #10597384	C₂²	semidirect
60. #10597383	C₂²	semidirect
61. #10597383	C₂²	semidirect
62. #10597383	C₂²	semidirect
63. #10597382	C₂²	semidirect
64. #10597382	C₂²	semidirect
65. #10597381	C₂²	semidirect
66. #10597381	C₂²	semidirect
67. #10597381	C₂²	semidirect
68. D₄×Dic₁₉	C₂²	semidirect
69. D₄×Dic₁₉	C₂²	semidirect
70. D₄×Dic₁₉	C₂²	semidirect
71. D₄×Dic₁₉	C₂²	semidirect
72. #10597376	C₂²	semidirect
73. #10597376	C₂²	semidirect
74. #10597376	C₂²	semidirect
75. #10597375	C₂²	semidirect
79. C₄×C₂²⋊D₁₉	C₂²	semidirect
80. C₄×C₂²⋊D₁₉	C₂²	semidirect
81. C₄×C₂²⋊D₁₉	C₂²	semidirect
82. C₄×C₂²⋊D₁₉	C₂²	semidirect
83. C₄×C₂²⋊D₁₉	C₂²	semidirect
84. C₄×C₂²⋊D₁₉	C₂²	semidirect
85. C₄×C₂²⋊D₁₉	C₂²	semidirect
86. C₄×C₂²⋊D₁₉	C₂²	semidirect
87. C₄×C₂²⋊D₁₉	C₂²	semidirect
88. C₂×(C₂×D₁₉)⋊C₄	C₂²	semidirect
89. #10597372	C₂²	semidirect
90. #10597370	C₂²	semidirect
91. #10597370	C₂²	semidirect
92. #10597370	C₂²	semidirect
93. C₂×Dic₁₉⋊C₄	C₂²	semidirect
94. C₂×C₄×Dic₁₉	C₂²	semidirect
95. #10597344	C₂²	semidirect
96. #10597343	C₂²	semidirect
97. #10597342	C₂²	semidirect
98. #10597341	C₂²	semidirect
99. #10597340	C₂²	semidirect
100. #10597339	C₂²	semidirect
101. #10597338	C₂²	semidirect
102. C₄⋊C₄×D₁₉	C₂²	semidirect
103. #10597336	C₂²	semidirect
104. #10597335	C₂²	semidirect
105. #10597334	C₂²	semidirect
106. #10597333	C₂²	semidirect
107. #10597331	C₂²	semidirect
108. #10597331	C₂²	semidirect
109. #10597330	C₂²	semidirect
110. #10597330	C₂²	semidirect
111. #10597329	C₂²	semidirect
112. #10597329	C₂²	semidirect
113. (C₂²⋊D₁₉)⋊C₄	C₂²	semidirect
114. (C₂²⋊D₁₉)⋊C₄	C₂²	semidirect
115. (C₂²⋊D₁₉)⋊C₄	C₂²	semidirect
116. (C₂²⋊D₁₉)⋊C₄	C₂²	semidirect
117. C₂²⋊C₄×D₁₉	C₂²	semidirect
118. C₂²⋊C₄×D₁₉	C₂²	semidirect
119. #10597325	C₂²	semidirect
120. #10597325	C₂²	semidirect
121. #10597323	C₂²	semidirect
122. #10597323	C₂²	semidirect
285. C₂²⋊D₁₉	#41	semidirect
377. C₂×#121	D₁₉	semidirect
398. C₂²×D₄	C₂×D₁₉	semidirect
399. C₂²×D₄	C₂×D₁₉	semidirect
401. C₂³×C₄	C₂×D₁₉	semidirect
443. #121	C₂×D₁₉	semidirect
444. #121	C₂×D₁₉	semidirect
445. #121	C₂×D₁₉	semidirect
446. #121	C₂×D₁₉	semidirect
447. #121	C₂×D₁₉	semidirect
482. C₂×C₄⋊C₄	C₂×D₁₉	semidirect
488. C₂×C₂²⋊C₄	C₂×D₁₉	semidirect
490. C₁₉	#3519	semidirect

Maximal subgroups

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

subgroup	index
#11927258	2
#11927249	2
#11927242	2
#11927241	2
#11927237	2
#11927212	2
#11927191	2
#11927188	2
#11927183	2
D₄×C₂²⋊D₁₉	2
#11927144	2
#11927132	2
#11927126	2
#11927089	2
#11927075	2
#11927055	2
#11927054	2
#121×D₁₉	2
#11927017	2
C₂×C₄×C₂²⋊D₁₉	2
C₂×C₁₉×#121	2
#3519	19