Subgroups — #14577272

Order 2432.

1560 conjugacy classes of subgroups.

The subgroup lattice has 766 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#10597430	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#41×D₁₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#11927199	C₂	1	1	yes	maximal, characteristic, complemented
4	#11927198	C₂	1	1	yes	maximal, characteristic, complemented
5	#11927196	C₂	1	1	yes	maximal, characteristic, complemented
6	#11927194	C₂	1	2	yes	maximal, complemented
7	#11927193	C₂	1	1	yes	maximal, characteristic, complemented
8	#11927192	C₂	1	2	yes	maximal, complemented
9	#11927191	C₂	1	1	yes	maximal, characteristic, complemented
10	#11927188	C₂	1	1	yes	maximal, characteristic, complemented
11	#11927187	C₂	1	1	yes	maximal, characteristic, complemented
12	#11927184	C₂	1	2	yes	maximal, complemented
13	#11927181	C₂	1	2	yes	maximal, complemented
14	#11927117	C₂	1	1	yes	maximal, characteristic, complemented
15	#11927114	C₂	1	1	yes	maximal, characteristic, complemented
16	#11927104	C₂	1	2	yes	maximal, complemented
17	#11927102	C₂	1	2	yes	maximal, complemented
18	#11927054	C₂	1	1	yes	maximal, characteristic, complemented
19	#11927053	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#10597329	C₂	1	2	yes	maximal, complemented
21	#123×D₁₉	C₂	1	2	yes	maximal, complemented
22	#11927016	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₉×#546	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#41×C₁₉	C₂²	1	1	yes	characteristic, complemented
25	C₂²×D₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
26	C₂²×C₂²⋊D₁₉	C₂²	1	2	yes	—
27	C₂²×C₂²⋊D₁₉	C₂²	1	2	yes	complemented
28	#41×D₁₉	—	2	8	no	—
29	C₂×#64545	C₂²	1	1	yes	characteristic, complemented
30	C₂×Q₈×D₁₉	C₂²	1	1	yes	characteristic, complemented
31	#10597430	—	2	8	no	—
32	C₂×#64543	C₂²	1	1	yes	characteristic
33	C₂×#64543	C₂²	1	2	yes	complemented
34	C₂×#64543	C₂²	1	1	yes	characteristic, complemented
35	C₂×#64543	C₂²	1	2	yes	complemented
36	C₂×#64543	C₂²	1	1	yes	characteristic, complemented
37	C₂×D₄×D₁₉	C₂²	1	2	yes	—
38	C₂×D₄×D₁₉	C₂²	1	1	yes	characteristic
39	C₂×D₄×D₁₉	C₂²	1	2	yes	complemented
40	C₂×D₄×D₁₉	C₂²	1	1	yes	characteristic, complemented
41	C₂×#64541	C₂²	1	1	yes	characteristic
42	C₂×#64541	C₂²	1	2	yes	complemented
43	C₂×#64541	C₂²	1	1	yes	characteristic, complemented
44	C₂×#64541	C₂²	1	1	yes	characteristic, complemented
45	C₂²×C₄×D₁₉	C₂²	1	2	yes	complemented
46	C₂²×C₄×D₁₉	C₂²	1	1	yes	characteristic, complemented
47	C₁₉×#124	C₂²	1	1	yes	characteristic, complemented
48	C₁₉×#123	C₂²	1	2	yes	complemented
49	C₁₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
50	C₁₉×#121	C₂²	1	1	yes	characteristic, complemented
51	C₁₉×#121	C₂²	1	2	yes	complemented
52	C₁₉×#120	C₂²	1	2	yes	complemented
53	C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
54	C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
55	C₂×C₂²⋊C₄×C₁₉	C₂²	1	2	yes	complemented
56	#10597399	C₂²	1	2	yes	complemented
57	C₂×C₂²⋊Dic₁₉	C₂²	1	2	yes	complemented
58	#10597392	C₂²	1	1	yes	characteristic, complemented
59	#10597390	C₂²	1	1	yes	characteristic, complemented
60	#10597385	C₂²	1	1	yes	characteristic, complemented
61	#10597385	C₂²	1	2	yes	complemented
62	#10597385	C₂²	1	2	yes	complemented
63	#10597384	C₂²	1	1	yes	characteristic, complemented
64	#10597384	C₂²	1	2	yes	complemented
65	#10597384	C₂²	1	2	yes	complemented
66	#10597383	C₂²	1	1	yes	characteristic, complemented
67	#10597383	C₂²	1	2	yes	complemented
68	#10597383	C₂²	1	2	yes	complemented
69	#10597382	C₂²	1	1	yes	characteristic, complemented
70	#10597381	C₂²	1	2	yes	complemented
71	#10597381	C₂²	1	2	yes	complemented
72	D₄×Dic₁₉	C₂²	1	2	yes	complemented
73	D₄×Dic₁₉	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, complemented
77	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic, complemented
78	C₄×C₂²⋊D₁₉	C₂²	1	2	yes	complemented
79	C₂×(C₂×D₁₉)⋊C₄	C₂²	1	2	yes	complemented
80	C₂×C₄⋊Dic₁₉	C₂²	1	2	yes	complemented
81	#10597370	C₂²	1	1	yes	characteristic, complemented
82	#10597370	C₂²	1	1	yes	characteristic, complemented
83	C₂×Dic₁₉⋊C₄	C₂²	1	2	yes	complemented
84	#10597343	C₂²	1	1	yes	characteristic, complemented
85	#10597343	C₂²	1	1	yes	characteristic, complemented
86	#10597342	C₂²	1	1	yes	characteristic, complemented
87	#10597340	C₂²	1	1	yes	characteristic, complemented
88	#10597340	C₂²	1	2	yes	complemented
89	#10597340	C₂²	1	2	yes	complemented
90	#10597339	C₂²	1	1	yes	characteristic, complemented
91	#10597338	C₂²	1	1	yes	characteristic, complemented
92	C₄⋊C₄×D₁₉	C₂²	1	2	yes	complemented
93	C₄⋊C₄×D₁₉	C₂²	1	2	yes	complemented
94	#10597334	C₂²	1	2	yes	complemented
95	#10597332	C₂²	1	2	yes	complemented
96	#10597332	C₂²	1	2	yes	complemented
97	#10597331	C₂²	1	2	yes	complemented
98	#10597330	C₂²	1	1	yes	characteristic, complemented
99	#10597330	C₂²	1	2	yes	complemented
100	#10597330	C₂²	1	2	yes	complemented
101	#10597329	C₂²	1	2	yes	complemented
102	#10597329	C₂²	1	2	yes	complemented
103	#10597329	C₂²	1	1	yes	characteristic, complemented
104	#10597329	C₂²	1	2	yes	complemented
105	#10597329	C₂²	1	2	yes	complemented
106	#10597329	C₂²	1	2	yes	complemented
107	#10597329	C₂²	1	2	yes	complemented
108	#10597329	C₂²	1	2	yes	complemented
109	#10597329	C₂²	1	2	yes	complemented
110	#10597329	C₂²	1	2	yes	complemented
111	#10597328	C₂²	1	1	yes	characteristic, complemented
112	#10597328	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⋊C₄×D₁₉	C₂²	1	2	yes	complemented
116	C₂²⋊C₄×D₁₉	C₂²	1	2	yes	complemented
117	C₂²⋊C₄×D₁₉	C₂²	1	2	yes	complemented
118	#10597324	C₂²	1	1	yes	characteristic, complemented
119	#10597324	C₂²	1	2	yes	complemented
120	#10597324	C₂²	1	2	yes	complemented
121	C₄×D₇₆	C₂²	1	1	yes	characteristic, complemented
122	C₄×D₇₆	C₂²	1	1	yes	characteristic, complemented
123	#10597318	C₂²	1	1	yes	characteristic, complemented
124	#10597315	C₂²	1	1	yes	characteristic, complemented
125	C₂⁴×C₁₉	C₂³	1	2	yes	—
126	C₂³×D₁₉	C₂³	1	1	yes	characteristic
127	C₂³×D₁₉	C₂³	1	2	yes	—
128	C₂³×D₁₉	C₂³	1	2	yes	—
129	#41×C₁₉	—	2	4	no	—
130	C₂×Q₈×C₁₉	C₂³	1	1	yes	characteristic
131	C₂×D₄×C₁₉	—	2	4	no	—
132	C₂×D₄×C₁₉	C₂³	1	2	yes	—
133	C₂×D₄×C₁₉	C₂³	1	2	yes	—
134	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
135	C₂×D₄×C₁₉	C₂³	1	2	yes	—
136	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
137	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
138	C₂²×C₄×C₁₉	C₂³	1	2	yes	—
139	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
140	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
141	C₂²×C₄×C₁₉	C₂³	1	2	yes	—
142	C₂×C₂²⋊D₁₉	—	2	8	no	—
143	C₂×C₂²⋊D₁₉	—	2	8	no	—
144	C₂×C₂²⋊D₁₉	C₂³	1	2	yes	—
145	C₂×C₂²⋊D₁₉	C₂³	1	2	yes	—
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	2	yes	—
151	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
152	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
153	C₂×C₂²⋊D₁₉	C₂³	1	2	yes	—
154	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
155	C₂×C₂²⋊D₁₉	C₂³	1	2	yes	—
156	C₂²×Dic₁₉	C₂³	1	1	yes	characteristic
157	C₂²×Dic₁₉	C₂³	1	2	yes	—
158	C₂²×Dic₁₉	C₂³	1	2	yes	—
159	C₂²×Dic₁₉	C₂³	1	2	yes	—
160	C₂²×Dic₁₉	C₂³	1	2	yes	—
161	#64545	—	2	4	no	—
162	Q₈×D₁₉	—	2	4	no	—
163	#64543	—	2	4	no	—
164	#64543	—	2	4	no	—
165	#64543	—	2	8	no	—
166	#64543	—	2	8	no	—
167	#64543	—	2	4	no	—
168	D₄×D₁₉	—	2	8	no	—
169	D₄×D₁₉	—	2	8	no	—
170	D₄×D₁₉	—	2	4	no	—
171	D₄×D₁₉	D₄	1	8	yes	complemented
172	#64541	—	2	8	no	—
173	#64541	—	2	4	no	—
174	#64541	—	2	4	no	—
175	#64541	—	2	4	no	—
176	C₂×D₇₆	C₂³	1	1	yes	characteristic
177	C₂×D₇₆	C₂³	1	2	yes	—
178	C₂×D₇₆	C₂³	1	1	yes	characteristic
179	C₂×D₇₆	C₂³	1	1	yes	characteristic
180	C₂×C₄×D₁₉	—	2	8	no	—
181	C₂×C₄×D₁₉	—	2	4	no	—
182	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
183	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
184	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
185	C₂×C₄×D₁₉	C₂³	1	2	yes	—
186	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
187	C₂×C₄×D₁₉	C₂³	1	2	yes	—
188	C₂×C₄×D₁₉	C₂³	1	2	yes	—
189	C₂×C₄×D₁₉	C₂³	1	2	yes	—
190	C₂×C₄×D₁₉	C₂³	1	2	yes	—
191	C₂×C₄×D₁₉	C₂³	1	2	yes	—
192	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
193	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
194	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
195	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
196	C₂×Dic₃₈	C₂³	1	2	yes	—
197	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
198	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
199	C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
200	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
201	C₂²⋊C₄×C₁₉	C₂³	1	2	yes	—
202	C₂²⋊C₄×C₁₉	C₂³	1	2	yes	—
203	C₂²⋊C₄×C₁₉	C₂³	1	2	yes	—
204	C₂²⋊C₄×C₁₉	C₂³	1	2	yes	—
205	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
206	C₂²⋊C₄×C₁₉	C₂³	1	2	yes	—
207	C₄²×C₁₉	C₂³	1	1	yes	characteristic
208	C₂²⋊Dic₁₉	C₂³	1	2	yes	—
209	C₂²⋊Dic₁₉	C₂³	1	2	yes	—
210	C₂²⋊Dic₁₉	C₂³	1	2	yes	—
211	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
212	C₂²⋊Dic₁₉	C₂³	1	2	yes	—
213	C₂²⋊Dic₁₉	C₂³	1	2	yes	—
214	C₂²⋊Dic₁₉	C₂³	1	2	yes	—
215	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
216	(C₂×D₁₉)⋊C₄	C₂³	1	2	yes	—
217	(C₂×D₁₉)⋊C₄	C₂³	1	2	yes	—
218	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
219	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
220	(C₂×D₁₉)⋊C₄	C₂³	1	2	yes	—
221	(C₂×D₁₉)⋊C₄	C₂³	1	2	yes	—
222	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
223	(C₂×D₁₉)⋊C₄	C₂³	1	2	yes	—
224	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
225	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
226	(C₂×D₁₉)⋊C₄	C₂³	1	2	yes	—
227	(C₂×D₁₉)⋊C₄	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	2	yes	—
231	C₄⋊Dic₁₉	C₂³	1	2	yes	—
232	C₄⋊Dic₁₉	C₂³	1	2	yes	—
233	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
234	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
235	Dic₁₉⋊C₄	C₂³	1	2	yes	—
236	Dic₁₉⋊C₄	C₂³	1	2	yes	—
237	Dic₁₉⋊C₄	C₂³	1	2	yes	—
238	Dic₁₉⋊C₄	C₂³	1	2	yes	—
239	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
240	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
241	Dic₁₉⋊C₄	C₂³	1	2	yes	—
242	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
243	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
244	C₄×Dic₁₉	C₂³	1	2	yes	—
245	C₂³×C₁₉	—	2	4	no	—
246	C₂³×C₁₉	—	4	2	no	—
247	C₂³×C₁₉	—	4	2	no	—
248	C₂³×C₁₉	C₂⁴	1	2	yes	—
249	C₂³×C₁₉	C₂⁴	1	1	yes	characteristic
250	C₂³×C₁₉	C₂⁴	1	1	yes	characteristic
251	C₂³×C₁₉	C₂⁴	1	2	yes	—
252	C₂²×D₁₉	—	2	2	no	—
253	C₂²×D₁₉	—	2	4	no	—
254	C₂²×D₁₉	—	4	2	no	—
255	C₂²×D₁₉	—	4	2	no	—
256	C₂²×D₁₉	—	4	1	no	—
257	C₂²×D₁₉	—	4	1	no	—
258	C₂²×D₁₉	—	4	2	no	—
259	C₂²×D₁₉	—	4	2	no	—
260	C₂²×D₁₉	C₂×D₄	1	8	yes	—
261	C₂²×D₁₉	C₂⁴	1	1	yes	characteristic
262	C₂²×D₁₉	C₂⁴	1	1	yes	characteristic
263	C₂²×D₁₉	C₂⁴	1	1	yes	characteristic
264	C₂²×D₁₉	C₂⁴	1	2	yes	—
265	Q₈×C₁₉	—	2	2	no	—
266	D₄×C₁₉	—	2	4	no	—
267	D₄×C₁₉	—	2	4	no	—
268	D₄×C₁₉	—	2	2	no	—
269	D₄×C₁₉	—	4	1	no	—
270	D₄×C₁₉	—	4	2	no	—
271	D₄×C₁₉	C₂×D₄	1	4	yes	—
272	C₂×C₄×C₁₉	—	2	4	no	—
273	C₂×C₄×C₁₉	—	2	2	no	—
274	C₂×C₄×C₁₉	—	2	2	no	—
275	C₂×C₄×C₁₉	—	4	2	no	—
276	C₂×C₄×C₁₉	C₂⁴	1	2	yes	—
277	C₂×C₄×C₁₉	C₂⁴	1	2	yes	—
278	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
279	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
280	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
281	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
282	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
283	C₂²⋊D₁₉	—	2	4	no	—
284	C₂²⋊D₁₉	—	2	4	no	—
285	C₂²⋊D₁₉	—	2	4	no	—
286	C₂²⋊D₁₉	—	2	2	no	—
287	C₂²⋊D₁₉	—	2	4	no	—
288	C₂²⋊D₁₉	—	2	4	no	—
289	C₂²⋊D₁₉	—	2	4	no	—
290	C₂²⋊D₁₉	—	2	2	no	—
291	C₂²⋊D₁₉	—	4	1	no	—
292	C₂²⋊D₁₉	—	4	2	no	—
293	C₂²⋊D₁₉	—	4	1	no	—
294	C₂²⋊D₁₉	C₂×D₄	1	8	yes	—
295	C₂×Dic₁₉	—	2	4	no	—
296	C₂×Dic₁₉	—	2	4	no	—
297	C₂×Dic₁₉	—	2	2	no	—
298	C₂×Dic₁₉	—	2	4	no	—
299	C₂×Dic₁₉	—	4	2	no	—
300	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
301	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
302	C₂×Dic₁₉	C₂⁴	1	2	yes	—
303	C₂×Dic₁₉	C₂⁴	1	2	yes	—
304	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
305	C₂×Dic₁₉	C₂⁴	1	2	yes	—
306	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
307	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
308	D₇₆	—	2	2	no	—
309	D₇₆	—	2	4	no	—
310	D₇₆	—	4	1	no	—
311	D₇₆	C₂×D₄	1	4	yes	—
312	C₄×D₁₉	—	2	2	no	—
313	C₄×D₁₉	—	2	4	no	—
314	C₄×D₁₉	—	2	4	no	—
315	C₄×D₁₉	—	2	4	no	—
316	C₄×D₁₉	—	2	4	no	—
317	C₄×D₁₉	—	2	2	no	—
318	C₄×D₁₉	—	2	2	no	—
319	C₄×D₁₉	—	2	2	no	—
320	C₄×D₁₉	—	4	2	no	—
321	C₄×D₁₉	—	4	2	no	—
322	C₄×D₁₉	C₂×D₄	1	4	yes	—
323	Dic₃₈	—	2	2	no	—
324	Dic₃₈	—	2	2	no	—
325	Dic₃₈	—	2	2	no	—
326	Dic₃₈	—	2	4	no	—
327	#3485	—	19	1	no	maximal, Sylow
328	C₂²×C₁₉	—	2	2	no	—
329	C₂²×C₁₉	—	2	2	no	—
330	C₂²×C₁₉	—	2	1	no	—
331	C₂²×C₁₉	—	2	2	no	—
332	C₂²×C₁₉	—	2	1	no	—
333	C₂²×C₁₉	—	2	1	no	—
334	C₂²×C₁₉	—	2	2	no	—
335	C₂²×C₁₉	—	2	1	no	—
336	C₂²×C₁₉	—	2	1	no	—
337	C₂²×C₁₉	—	2	2	no	—
338	C₂²×C₁₉	—	2	1	no	—
339	C₂²×C₁₉	—	8	4	no	—
340	C₂²×C₁₉	C₂²×D₄	1	4	yes	—
341	C₂²×C₁₉	C₂⁵	1	1	yes	characteristic
342	C₂×D₁₉	—	2	2	no	—
343	C₂×D₁₉	—	2	2	no	—
344	C₂×D₁₉	—	2	1	no	—
345	C₂×D₁₉	—	2	1	no	—
346	C₂×D₁₉	—	2	1	no	—
347	C₂×D₁₉	—	2	1	no	—
348	C₂×D₁₉	—	2	1	no	—
349	C₂×D₁₉	—	2	1	no	—
350	C₂×D₁₉	—	2	1	no	—
351	C₂×D₁₉	—	2	1	no	—
352	C₂×D₁₉	—	4	8	no	—
353	C₂×D₁₉	—	4	4	no	—
354	C₂×D₁₉	—	8	4	no	—
355	C₂×D₁₉	C₂²×D₄	1	2	yes	—
356	C₂×D₁₉	C₂²×D₄	1	4	yes	—
357	C₄×C₁₉	—	2	1	no	—
358	C₄×C₁₉	—	2	2	no	—
359	C₄×C₁₉	—	2	1	no	—
360	C₄×C₁₉	—	2	1	no	—
361	C₄×C₁₉	—	2	2	no	—
362	C₄×C₁₉	—	2	1	no	—
363	C₄×C₁₉	C₂²×D₄	1	2	yes	—
364	Dic₁₉	—	2	2	no	—
365	Dic₁₉	—	2	2	no	—
366	Dic₁₉	—	2	1	no	—
367	Dic₁₉	—	2	1	no	—
368	Dic₁₉	—	2	1	no	—
369	Dic₁₉	—	2	2	no	—
370	Dic₁₉	—	2	1	no	—
371	Dic₁₉	C₂²×D₄	1	2	yes	—
372	C₂×H(5,𝔽₂)	—	19	1	no	—
373	C₂²×#41	—	19	1	no	—
374	#547	—	19	1	no	—
375	#547	—	19	2	no	—
376	#547	—	19	1	no	—
377	#547	—	19	2	no	—
378	#547	—	19	1	no	—
379	#547	—	19	1	no	—
380	#546	—	19	1	no	—
381	#546	—	19	1	no	—
382	#546	—	19	1	no	—
383	#546	—	19	2	no	—
384	#546	—	19	2	no	—
385	#546	D₁₉	1	1	yes	characteristic, complemented
386	#536	—	19	1	no	—
387	#536	—	19	1	no	—
388	#534	—	19	2	no	—
389	#534	—	19	2	no	—
390	#525	—	19	1	no	—
391	#525	—	19	1	no	—
392	C₂×#123	—	19	2	no	—
393	C₂×#123	—	19	2	no	—
394	#518	—	19	1	no	—
395	C₂×C₁₉	—	2	4	no	—
396	C₂×C₁₉	—	4	1	no	—
397	C₂×C₁₉	—	4	2	no	—
398	C₂×C₁₉	—	4	1	no	—
399	C₂×C₁₉	C₂³×D₄	1	1	yes	characteristic
400	C₂×C₁₉	#585	1	1	yes	characteristic
401	C₂×C₁₉	#585	1	1	yes	characteristic
402	D₁₉	—	2	2	no	—
403	D₁₉	—	2	4	no	—
404	D₁₉	—	4	1	no	—
405	D₁₉	—	4	1	no	—
406	H(5,𝔽₂)	—	38	8	no	—
407	C₂×#41	—	19	1	no	—
408	C₂×#41	—	19	1	no	—
409	C₂×#41	—	19	1	no	—
410	C₂×#41	—	19	2	no	—
411	C₂×#41	—	19	1	no	—
412	C₂×#41	—	19	2	no	—
413	C₂×#41	—	19	1	no	—
414	C₂×#41	—	19	1	no	—
415	C₂×#41	—	19	2	no	—
416	C₂×#41	—	19	1	no	—
417	C₂×#41	—	38	8	no	—
418	C₂×#41	C₂×D₁₉	1	1	yes	characteristic, complemented
419	C₂²×Q₈	—	19	1	no	—
420	C₂²×D₄	—	19	1	no	—
421	C₂²×D₄	—	19	2	no	—
422	C₂²×D₄	—	19	2	no	—
423	C₂²×D₄	—	19	2	no	—
424	C₂²×D₄	—	19	2	no	—
425	C₂²×D₄	—	19	1	no	—
426	C₂²×D₄	C₂×D₁₉	1	1	yes	characteristic, complemented
427	C₂³×C₄	—	19	2	no	—
428	C₂³×C₄	—	19	1	no	—
429	C₄⋊Q₈	—	19	1	no	—
430	C₄⋊Q₈	—	19	2	no	—
431	C₄⋊Q₈	—	19	1	no	—
432	#124	—	19	1	no	—
433	#124	—	19	2	no	—
434	#124	C₂×D₁₉	1	1	yes	characteristic, complemented
435	#123	—	19	2	no	—
436	#123	—	19	2	no	—
437	#123	—	19	2	no	—
438	#123	—	19	1	no	—
439	#123	—	19	2	no	—
440	#123	—	19	2	no	—
441	#123	—	19	2	no	—
442	#123	—	19	1	no	—
443	#123	—	19	2	no	—
444	#123	—	19	2	no	—
445	#123	—	19	2	no	—
446	#123	—	19	2	no	—
447	#123	—	19	2	no	—
448	#123	—	19	2	no	—
449	#123	—	19	2	no	—
450	#123	—	19	2	no	—
451	#123	—	19	2	no	—
452	#123	—	19	2	no	—
453	#123	C₂×D₁₉	1	2	yes	complemented
454	C₂²⋊Q₈	—	19	1	no	—
455	C₂²⋊Q₈	—	19	1	no	—
456	C₂²⋊Q₈	—	19	1	no	—
457	C₂²⋊Q₈	—	19	1	no	—
458	C₂²⋊Q₈	—	19	1	no	—
459	C₂²⋊Q₈	—	19	1	no	—
460	C₂²⋊Q₈	—	19	1	no	—
461	C₂²⋊Q₈	—	19	2	no	—
462	C₂²⋊Q₈	—	19	2	no	—
463	C₂²⋊Q₈	C₂×D₁₉	1	1	yes	characteristic, complemented
464	#121	—	19	1	no	—
465	#121	—	19	2	no	—
466	#121	—	19	2	no	—
467	#121	—	19	1	no	—
468	#121	—	19	2	no	—
469	#121	—	19	2	no	—
470	#121	—	19	2	no	—
471	#121	—	19	1	no	—
472	#121	—	19	2	no	—
473	#121	—	19	2	no	—
474	#121	C₂×D₁₉	1	1	yes	characteristic, complemented
475	#121	C₂×D₁₉	1	2	yes	complemented
476	#120	—	19	2	no	—
477	#120	—	19	2	no	—
478	#120	—	19	1	no	—
479	#120	—	19	2	no	—
480	#120	—	19	1	no	—
481	#120	—	19	2	no	—
482	#120	C₂×D₁₉	1	2	yes	complemented
483	C₄×D₄	—	19	1	no	—
484	C₄×D₄	—	19	2	no	—
485	C₄×D₄	—	19	2	no	—
486	C₄×D₄	—	19	1	no	—
487	C₄×D₄	—	19	1	no	—
488	C₄×D₄	—	19	1	no	—
489	C₄×D₄	—	19	2	no	—
490	C₄×D₄	—	19	2	no	—
491	C₄×D₄	—	19	1	no	—
492	C₄×D₄	—	19	1	no	—
493	C₄×D₄	C₂×D₁₉	1	1	yes	characteristic, complemented
494	C₄×D₄	C₂×D₁₉	1	1	yes	characteristic, complemented
495	#117	—	19	1	no	—
496	#117	—	19	1	no	—
497	C₂×C₄⋊C₄	—	19	2	no	—
498	C₂×C₄⋊C₄	—	19	2	no	—
499	C₂×C₄⋊C₄	—	19	2	no	—
500	C₂×C₄⋊C₄	—	19	2	no	—
501	C₂×C₂²⋊C₄	—	19	2	no	—
502	C₂×C₂²⋊C₄	—	19	2	no	—
503	C₂×C₂²⋊C₄	—	19	2	no	—
504	C₂×C₂²⋊C₄	—	19	2	no	—
505	C₂×C₂²⋊C₄	—	19	2	no	—
506	C₂×C₂²⋊C₄	C₂×D₁₉	1	2	yes	complemented
507	C₁₉	#3485	1	1	yes	characteristic, complemented, Sylow
508	C₂⁴	—	19	2	no	—
509	C₂⁴	—	19	2	no	—
510	C₂⁴	—	19	1	no	—
511	C₂⁴	C₂²×D₁₉	1	2	yes	—
512	#41	—	2	4	no	—
513	#41	—	38	4	no	—
514	#41	—	38	8	no	—
515	#41	—	38	4	no	—
516	#41	—	38	4	no	—
517	#41	—	38	4	no	—
518	#41	—	38	8	no	—
519	#41	—	38	8	no	—
520	#41	—	38	4	no	—
521	#41	—	38	4	no	—
522	#41	—	38	4	no	—
523	C₂×Q₈	—	19	2	no	—
524	C₂×Q₈	—	19	1	no	—
525	C₂×Q₈	—	19	1	no	—
526	C₂×Q₈	—	19	1	no	—
527	C₂×Q₈	—	38	4	no	—
528	C₂×Q₈	C₂²×D₁₉	1	1	yes	characteristic
529	C₂×D₄	—	2	4	no	—
530	C₂×D₄	—	19	2	no	—
531	C₂×D₄	—	19	8	no	—
532	C₂×D₄	—	19	2	no	—
533	C₂×D₄	—	19	2	no	—
534	C₂×D₄	—	19	2	no	—
535	C₂×D₄	—	19	1	no	—
536	C₂×D₄	—	19	2	no	—
537	C₂×D₄	—	19	2	no	—
538	C₂×D₄	—	19	2	no	—
539	C₂×D₄	—	19	1	no	—
540	C₂×D₄	—	19	1	no	—
541	C₂×D₄	—	19	2	no	—
542	C₂×D₄	—	19	1	no	—
543	C₂×D₄	—	19	1	no	—
544	C₂×D₄	—	19	2	no	—
545	C₂×D₄	—	19	1	no	—
546	C₂×D₄	—	19	1	no	—
547	C₂×D₄	—	38	4	no	—
548	C₂×D₄	—	38	8	no	—
549	C₂×D₄	—	38	8	no	—
550	C₂×D₄	—	38	8	no	—
551	C₂×D₄	—	38	8	no	—
552	C₂×D₄	C₂²×D₁₉	1	2	yes	—
553	C₂×D₄	C₂²×D₁₉	1	2	yes	—
554	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
555	C₂×D₄	C₂²×D₁₉	1	2	yes	—
556	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
557	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
558	C₂²×C₄	—	19	1	no	—
559	C₂²×C₄	—	19	2	no	—
560	C₂²×C₄	—	19	2	no	—
561	C₂²×C₄	—	19	1	no	—
562	C₂²×C₄	—	19	2	no	—
563	C₂²×C₄	—	19	2	no	—
564	C₂²×C₄	—	19	2	no	—
565	C₂²×C₄	—	19	2	no	—
566	C₂²×C₄	—	19	2	no	—
567	C₂²×C₄	—	19	1	no	—
568	C₂²×C₄	—	19	1	no	—
569	C₂²×C₄	—	19	1	no	—
570	C₂²×C₄	—	19	1	no	—
571	C₂²×C₄	—	19	2	no	—
572	C₂²×C₄	—	19	2	no	—
573	C₂²×C₄	—	19	2	no	—
574	C₂²×C₄	—	38	4	no	—
575	C₂²×C₄	—	38	8	no	—
576	C₂²×C₄	C₂²×D₁₉	1	2	yes	—
577	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
578	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
579	C₂²×C₄	C₂²×D₁₉	1	2	yes	—
580	C₄⋊C₄	—	19	1	no	—
581	C₄⋊C₄	—	19	2	no	—
582	C₄⋊C₄	—	19	1	no	—
583	C₄⋊C₄	—	19	2	no	—
584	C₄⋊C₄	—	19	2	no	—
585	C₄⋊C₄	—	19	2	no	—
586	C₄⋊C₄	—	19	2	no	—
587	C₄⋊C₄	—	19	1	no	—
588	C₄⋊C₄	—	19	1	no	—
589	C₄⋊C₄	—	19	2	no	—
590	C₄⋊C₄	—	19	1	no	—
591	C₄⋊C₄	—	19	2	no	—
592	C₄⋊C₄	—	19	2	no	—
593	C₄⋊C₄	—	19	2	no	—
594	C₄⋊C₄	—	19	1	no	—
595	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
596	C₄⋊C₄	C₂²×D₁₉	1	2	yes	—
597	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
598	C₂²⋊C₄	—	19	2	no	—
599	C₂²⋊C₄	—	19	1	no	—
600	C₂²⋊C₄	—	19	2	no	—
601	C₂²⋊C₄	—	19	2	no	—
602	C₂²⋊C₄	—	19	2	no	—
603	C₂²⋊C₄	—	19	2	no	—
604	C₂²⋊C₄	—	19	2	no	—
605	C₂²⋊C₄	—	19	1	no	—
606	C₂²⋊C₄	—	19	2	no	—
607	C₂²⋊C₄	—	19	1	no	—
608	C₂²⋊C₄	—	19	1	no	—
609	C₂²⋊C₄	—	19	1	no	—
610	C₂²⋊C₄	—	19	1	no	—
611	C₂²⋊C₄	—	19	2	no	—
612	C₂²⋊C₄	—	19	2	no	—
613	C₂²⋊C₄	—	19	2	no	—
614	C₂²⋊C₄	—	19	2	no	—
615	C₂²⋊C₄	—	19	1	no	—
616	C₂²⋊C₄	—	19	2	no	—
617	C₂²⋊C₄	—	19	1	no	—
618	C₂²⋊C₄	C₂²×D₁₉	1	2	yes	—
619	C₂²⋊C₄	C₂²×D₁₉	1	2	yes	—
620	C₂²⋊C₄	C₂²×D₁₉	1	2	yes	—
621	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
622	C₂²⋊C₄	C₂²×D₁₉	1	2	yes	—
623	C₂²⋊C₄	C₂²×D₁₉	1	2	yes	—
624	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
625	C₄²	—	19	2	no	—
626	C₄²	—	19	1	no	—
627	C₄²	C₂²×D₁₉	1	1	yes	characteristic
628	C₂³	—	2	4	no	—
629	C₂³	—	4	2	no	—
630	C₂³	—	4	2	no	—
631	C₂³	—	19	1	no	—
632	C₂³	—	19	2	no	—
633	C₂³	—	19	8	no	—
634	C₂³	—	19	1	no	—
635	C₂³	—	19	1	no	—
636	C₂³	—	38	2	no	—
637	C₂³	—	38	4	no	—
638	C₂³	—	76	2	no	—
639	C₂³	—	76	2	no	—
640	C₂³	—	76	1	no	—
641	C₂³	—	76	1	no	—
642	C₂³	—	76	2	no	—
643	C₂³	—	76	2	no	—
644	C₂³	C₂³×D₁₉	1	2	yes	—
645	C₂³	C₂³×D₁₉	1	1	yes	characteristic
646	C₂³	C₂³×D₁₉	1	1	yes	characteristic
647	C₂³	C₂³×D₁₉	1	2	yes	—
648	Q₈	—	2	2	no	—
649	Q₈	—	38	4	no	—
650	Q₈	—	38	2	no	—
651	Q₈	—	38	2	no	—
652	Q₈	—	38	2	no	—
653	D₄	—	2	4	no	—
654	D₄	—	2	4	no	—
655	D₄	—	2	2	no	—
656	D₄	—	4	2	no	—
657	D₄	—	4	1	no	—
658	D₄	—	19	8	no	—
659	D₄	—	19	4	no	—
660	D₄	—	38	2	no	—
661	D₄	—	38	4	no	—
662	D₄	—	38	2	no	—
663	D₄	—	38	2	no	—
664	D₄	—	38	4	no	—
665	D₄	—	38	4	no	—
666	D₄	—	38	4	no	—
667	D₄	—	38	4	no	—
668	D₄	—	38	4	no	—
669	D₄	—	38	4	no	—
670	D₄	—	76	1	no	—
671	D₄	—	76	1	no	—
672	D₄	—	76	1	no	—
673	D₄	—	76	2	no	—
674	D₄	D₄×D₁₉	1	4	yes	—
675	C₂×C₄	—	2	4	no	—
676	C₂×C₄	—	2	2	no	—
677	C₂×C₄	—	2	2	no	—
678	C₂×C₄	—	4	2	no	—
679	C₂×C₄	—	19	1	no	—
680	C₂×C₄	—	19	4	no	—
681	C₂×C₄	—	19	1	no	—
682	C₂×C₄	—	19	2	no	—
683	C₂×C₄	—	19	1	no	—
684	C₂×C₄	—	19	1	no	—
685	C₂×C₄	—	19	2	no	—
686	C₂×C₄	—	19	1	no	—
687	C₂×C₄	—	19	2	no	—
688	C₂×C₄	—	38	2	no	—
689	C₂×C₄	—	38	2	no	—
690	C₂×C₄	—	38	4	no	—
691	C₂×C₄	—	38	4	no	—
692	C₂×C₄	—	38	4	no	—
693	C₂×C₄	—	38	4	no	—
694	C₂×C₄	—	38	2	no	—
695	C₂×C₄	—	38	4	no	—
696	C₂×C₄	—	38	4	no	—
697	C₂×C₄	—	38	4	no	—
698	C₂×C₄	—	38	2	no	—
699	C₂×C₄	—	38	2	no	—
700	C₂×C₄	—	76	2	no	—
701	C₂×C₄	—	76	2	no	—
702	C₂×C₄	—	76	2	no	—
703	C₂×C₄	C₂³×D₁₉	1	2	yes	—
704	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
705	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
706	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
707	C₂×C₄	C₂³×D₁₉	1	2	yes	—
708	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
709	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
710	C₂²	—	2	2	no	—
711	C₂²	—	2	2	no	—
712	C₂²	—	2	1	no	—
713	C₂²	—	2	1	no	—
714	C₂²	—	2	2	no	—
715	C₂²	—	2	1	no	—
716	C₂²	—	2	2	no	—
717	C₂²	—	2	1	no	—
718	C₂²	—	2	1	no	—
719	C₂²	—	2	1	no	—
720	C₂²	—	2	2	no	—
721	C₂²	—	8	4	no	—
722	C₂²	—	19	2	no	—
723	C₂²	—	19	4	no	—
724	C₂²	—	38	2	no	—
725	C₂²	—	38	1	no	—
726	C₂²	—	38	2	no	—
727	C₂²	—	38	1	no	—
728	C₂²	—	38	1	no	—
729	C₂²	—	38	1	no	—
730	C₂²	—	38	1	no	—
731	C₂²	—	38	1	no	—
732	C₂²	—	38	1	no	—
733	C₂²	—	38	1	no	—
734	C₂²	—	76	8	no	—
735	C₂²	—	76	4	no	—
736	C₂²	—	152	4	no	—
737	C₂²	C₂×D₄×D₁₉	1	4	yes	—
738	C₂²	C₂⁴×D₁₉	1	1	yes	characteristic
739	C₄	—	2	1	no	—
740	C₄	—	2	1	no	—
741	C₄	—	2	2	no	—
742	C₄	—	2	1	no	—
743	C₄	—	2	2	no	—
744	C₄	—	2	1	no	—
745	C₄	—	19	2	no	—
746	C₄	—	38	1	no	—
747	C₄	—	38	2	no	—
748	C₄	—	38	1	no	—
749	C₄	—	38	2	no	—
750	C₄	—	38	1	no	—
751	C₄	—	38	2	no	—
752	C₄	—	38	1	no	—
753	C₄	C₂×D₄×D₁₉	1	2	yes	—
754	C₂	—	2	4	no	—
755	C₂	—	4	1	no	—
756	C₂	—	4	2	no	—
757	C₂	—	4	1	no	—
758	C₂	—	38	2	no	—
759	C₂	—	38	4	no	—
760	C₂	—	76	1	no	—
761	C₂	—	76	1	no	—
762	C₂	C₂²×D₄×D₁₉	1	1	yes	characteristic
763	C₂	#11927379	1	1	yes	characteristic
764	C₂	#11927380	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₁₉
commutator, socle, cosocle	C₂²×C₁₉	C₂⁵
Fitting	C₁₉×#546	C₂
hypercenter	#546	D₁₉
hypocenter	C₁₉	#3485
LCS	G ▷ C₂²×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂² ◁ #546

Complements

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

N	H ≅ G/N	type
1. C₂×#10597430	C₂	semidirect
2. C₂×#41×D₁₉	C₂	semidirect
3. #11927199	C₂	semidirect
4. #11927198	C₂	semidirect
5. #11927196	C₂	semidirect
6. #11927194	C₂	semidirect
7. #11927193	C₂	semidirect
8. #11927192	C₂	semidirect
9. #11927191	C₂	semidirect
10. #11927188	C₂	semidirect
11. #11927187	C₂	semidirect
12. #11927184	C₂	semidirect
13. #11927181	C₂	semidirect
14. #11927117	C₂	semidirect
15. #11927114	C₂	semidirect
16. #11927104	C₂	semidirect
17. #11927102	C₂	semidirect
18. #11927054	C₂	semidirect
19. #11927053	C₂	semidirect
20. C₂×#10597329	C₂	semidirect
21. #123×D₁₉	C₂	semidirect
22. #11927016	C₂	semidirect
23. C₁₉×#546	C₂	semidirect
24. C₂×#41×C₁₉	C₂²	semidirect
25. C₂²×D₄×C₁₉	C₂²	semidirect
27. C₂²×C₂²⋊D₁₉	C₂²	semidirect
29. C₂×#64545	C₂²	semidirect
30. C₂×Q₈×D₁₉	C₂²	semidirect
33. C₂×#64543	C₂²	semidirect
34. C₂×#64543	C₂²	semidirect
35. C₂×#64543	C₂²	semidirect
36. C₂×#64543	C₂²	semidirect
39. C₂×D₄×D₁₉	C₂²	semidirect
40. C₂×D₄×D₁₉	C₂²	semidirect
42. C₂×#64541	C₂²	semidirect
43. C₂×#64541	C₂²	semidirect
44. C₂×#64541	C₂²	semidirect
45. C₂²×C₄×D₁₉	C₂²	semidirect
46. C₂²×C₄×D₁₉	C₂²	semidirect
47. C₁₉×#124	C₂²	semidirect
48. C₁₉×#123	C₂²	semidirect
49. C₁₉×C₂²⋊Q₈	C₂²	semidirect
50. C₁₉×#121	C₂²	semidirect
51. C₁₉×#121	C₂²	semidirect
52. C₁₉×#120	C₂²	semidirect
53. C₄×D₄×C₁₉	C₂²	semidirect
54. C₄×D₄×C₁₉	C₂²	semidirect
55. C₂×C₂²⋊C₄×C₁₉	C₂²	semidirect
56. #10597399	C₂²	semidirect
57. C₂×C₂²⋊Dic₁₉	C₂²	semidirect
58. #10597392	C₂²	semidirect
59. #10597390	C₂²	semidirect
60. #10597385	C₂²	semidirect
61. #10597385	C₂²	semidirect
62. #10597385	C₂²	semidirect
63. #10597384	C₂²	semidirect
64. #10597384	C₂²	semidirect
65. #10597384	C₂²	semidirect
66. #10597383	C₂²	semidirect
67. #10597383	C₂²	semidirect
68. #10597383	C₂²	semidirect
69. #10597382	C₂²	semidirect
70. #10597381	C₂²	semidirect
71. #10597381	C₂²	semidirect
72. D₄×Dic₁₉	C₂²	semidirect
73. D₄×Dic₁₉	C₂²	semidirect
74. #10597376	C₂²	semidirect
75. #10597375	C₂²	semidirect
76. C₄×C₂²⋊D₁₉	C₂²	semidirect
77. C₄×C₂²⋊D₁₉	C₂²	semidirect
78. C₄×C₂²⋊D₁₉	C₂²	semidirect
79. C₂×(C₂×D₁₉)⋊C₄	C₂²	semidirect
80. C₂×C₄⋊Dic₁₉	C₂²	semidirect
81. #10597370	C₂²	semidirect
82. #10597370	C₂²	semidirect
83. C₂×Dic₁₉⋊C₄	C₂²	semidirect
84. #10597343	C₂²	semidirect
85. #10597343	C₂²	semidirect
86. #10597342	C₂²	semidirect
87. #10597340	C₂²	semidirect
88. #10597340	C₂²	semidirect
89. #10597340	C₂²	semidirect
90. #10597339	C₂²	semidirect
91. #10597338	C₂²	semidirect
92. C₄⋊C₄×D₁₉	C₂²	semidirect
93. C₄⋊C₄×D₁₉	C₂²	semidirect
94. #10597334	C₂²	semidirect
95. #10597332	C₂²	semidirect
96. #10597332	C₂²	semidirect
97. #10597331	C₂²	semidirect
98. #10597330	C₂²	semidirect
99. #10597330	C₂²	semidirect
100. #10597330	C₂²	semidirect
101. #10597329	C₂²	semidirect
102. #10597329	C₂²	semidirect
103. #10597329	C₂²	semidirect
104. #10597329	C₂²	semidirect
105. #10597329	C₂²	semidirect
106. #10597329	C₂²	semidirect
107. #10597329	C₂²	semidirect
108. #10597329	C₂²	semidirect
109. #10597329	C₂²	semidirect
110. #10597329	C₂²	semidirect
111. #10597328	C₂²	semidirect
112. #10597328	C₂²	semidirect
113. (C₂²⋊D₁₉)⋊C₄	C₂²	semidirect
114. (C₂²⋊D₁₉)⋊C₄	C₂²	semidirect
115. C₂²⋊C₄×D₁₉	C₂²	semidirect
116. C₂²⋊C₄×D₁₉	C₂²	semidirect
117. C₂²⋊C₄×D₁₉	C₂²	semidirect
118. #10597324	C₂²	semidirect
119. #10597324	C₂²	semidirect
120. #10597324	C₂²	semidirect
121. C₄×D₇₆	C₂²	semidirect
122. C₄×D₇₆	C₂²	semidirect
123. #10597318	C₂²	semidirect
124. #10597315	C₂²	semidirect
171. D₄×D₁₉	D₄	semidirect
385. #546	D₁₉	semidirect
418. C₂×#41	C₂×D₁₉	semidirect
426. C₂²×D₄	C₂×D₁₉	semidirect
434. #124	C₂×D₁₉	semidirect
453. #123	C₂×D₁₉	semidirect
463. C₂²⋊Q₈	C₂×D₁₉	semidirect
474. #121	C₂×D₁₉	semidirect
475. #121	C₂×D₁₉	semidirect
482. #120	C₂×D₁₉	semidirect
493. C₄×D₄	C₂×D₁₉	semidirect
494. C₄×D₄	C₂×D₁₉	semidirect
506. C₂×C₂²⋊C₄	C₂×D₁₉	semidirect
507. C₁₉	#3485	semidirect

Maximal subgroups

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

subgroup	index
C₂×#10597430	2
C₂×#41×D₁₉	2
#11927199	2
#11927198	2
#11927196	2
#11927194	2
#11927193	2
#11927192	2
#11927191	2
#11927188	2
#11927187	2
#11927184	2
#11927181	2
#11927117	2
#11927114	2
#11927104	2
#11927102	2
#11927054	2
#11927053	2
C₂×#10597329	2
#123×D₁₉	2
#11927016	2
C₁₉×#546	2
#3485	19