Subgroups — #14577295

Order 2432.

1658 conjugacy classes of subgroups.

The subgroup lattice has 798 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	C₂²×#64543	C₂	1	1	yes	maximal, characteristic, complemented
3	#11927214	C₂	1	1	yes	maximal, characteristic, complemented
4	#11927212	C₂	1	1	yes	maximal, characteristic, complemented
5	#11927203	C₂	1	1	yes	maximal, characteristic, complemented
6	#11927200	C₂	1	1	yes	maximal, characteristic, complemented
7	#11927189	C₂	1	1	yes	maximal, characteristic, complemented
8	#11927188	C₂	1	1	yes	maximal, characteristic, complemented
9	#11927183	C₂	1	2	yes	maximal, complemented
10	#11927181	C₂	1	2	yes	maximal, complemented
11	D₄×C₂²⋊D₁₉	C₂	1	2	yes	maximal, complemented
12	D₄×C₂²⋊D₁₉	C₂	1	1	yes	maximal, characteristic, complemented
13	#11927176	C₂	1	2	yes	maximal, complemented
14	#11927123	C₂	1	1	yes	maximal, characteristic, complemented
15	#11927121	C₂	1	2	yes	maximal, complemented
16	#11927109	C₂	1	2	yes	maximal, complemented
17	#11927107	C₂	1	1	yes	maximal, characteristic, complemented
18	#11927053	C₂	1	1	yes	maximal, characteristic, complemented
19	#11927050	C₂	1	2	yes	maximal, complemented
20	C₂×#10597385	C₂	1	2	yes	maximal, complemented
21	#121×D₁₉	C₂	1	1	yes	maximal, characteristic, complemented
22	#11927023	C₂	1	1	yes	maximal, characteristic, complemented
23	D₄²×C₁₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×D₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
25	C₂²×D₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
26	C₂²×D₄×C₁₉	C₂²	1	2	yes	complemented
27	C₂²×C₂²⋊D₁₉	C₂²	1	2	yes	complemented
28	C₂²×C₂²⋊D₁₉	C₂²	1	2	yes	complemented
29	C₂²×C₂²⋊D₁₉	C₂²	1	2	yes	complemented
30	C₂²×C₂²⋊D₁₉	C₂²	1	2	yes	complemented
31	C₂³×Dic₁₉	C₂²	1	2	yes	complemented
32	#10597430	—	2	8	no	—
33	C₂×#64543	—	2	8	no	—
34	C₂×#64543	C₂²	1	1	yes	characteristic
35	C₂×#64543	C₂²	1	2	yes	complemented
36	C₂×#64543	C₂²	1	1	yes	characteristic, complemented
37	C₂×#64543	C₂²	1	2	yes	complemented
38	C₂×#64543	C₂²	1	2	yes	complemented
39	C₂×#64543	C₂²	1	1	yes	characteristic, complemented
40	C₂×#64543	C₂²	1	1	yes	characteristic, complemented
41	C₂×#64543	C₂²	1	1	yes	characteristic, complemented
42	C₂×D₄×D₁₉	C₂²	1	1	yes	characteristic, complemented
43	C₂×D₄×D₁₉	C₂²	1	2	yes	complemented
44	C₂×D₄×D₁₉	C₂²	1	1	yes	characteristic, complemented
45	C₂×D₄×D₁₉	C₂²	1	2	yes	complemented
46	C₂×#64541	C₂²	1	1	yes	characteristic, complemented
47	C₂×#64541	C₂²	1	1	yes	characteristic, complemented
48	C₂²×C₄×D₁₉	C₂²	1	1	yes	characteristic, complemented
49	C₂²×Dic₃₈	C₂²	1	1	yes	characteristic, complemented
50	C₁₉×#127	C₂²	1	1	yes	characteristic, complemented
51	C₁₉×#121	C₂²	1	2	yes	complemented
52	C₁₉×#121	C₂²	1	1	yes	characteristic, complemented
53	C₁₉×#121	C₂²	1	1	yes	characteristic, complemented
54	C₁₉×#120	C₂²	1	2	yes	complemented
55	C₁₉×#120	C₂²	1	2	yes	complemented
56	C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
57	C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
58	#10597399	C₂²	1	2	yes	complemented
59	#10597399	C₂²	1	2	yes	complemented
60	C₂×C₂²⋊Dic₁₉	C₂²	1	2	yes	complemented
61	#10597386	C₂²	1	1	yes	characteristic, complemented
62	#10597386	C₂²	1	2	yes	complemented
63	#10597386	C₂²	1	2	yes	complemented
64	#10597385	C₂²	1	2	yes	complemented
65	#10597385	C₂²	1	2	yes	complemented
66	#10597385	C₂²	1	1	yes	characteristic, complemented
67	#10597385	C₂²	1	2	yes	complemented
68	#10597385	C₂²	1	2	yes	complemented
69	#10597385	C₂²	1	2	yes	complemented
70	#10597385	C₂²	1	2	yes	complemented
71	#10597385	C₂²	1	2	yes	complemented
72	#10597385	C₂²	1	2	yes	complemented
73	#10597385	C₂²	1	2	yes	complemented
74	#10597385	C₂²	1	2	yes	complemented
75	#10597385	C₂²	1	2	yes	complemented
76	#10597384	C₂²	1	2	yes	complemented
77	#10597384	C₂²	1	1	yes	characteristic, complemented
78	#10597384	C₂²	1	1	yes	characteristic, complemented
79	#10597383	C₂²	1	1	yes	characteristic, complemented
80	#10597383	C₂²	1	2	yes	complemented
81	#10597383	C₂²	1	2	yes	complemented
82	#10597383	C₂²	1	2	yes	complemented
83	#10597382	C₂²	1	1	yes	characteristic, complemented
84	#10597381	C₂²	1	2	yes	complemented
85	D₄×Dic₁₉	C₂²	1	2	yes	complemented
86	D₄×Dic₁₉	C₂²	1	2	yes	complemented
87	D₄×Dic₁₉	C₂²	1	1	yes	characteristic, complemented
88	#10597376	C₂²	1	2	yes	complemented
89	#10597376	C₂²	1	1	yes	characteristic, complemented
90	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic, complemented
91	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic, complemented
92	C₄×C₂²⋊D₁₉	C₂²	1	2	yes	complemented
93	C₂×(C₂×D₁₉)⋊C₄	C₂²	1	2	yes	complemented
94	#10597370	C₂²	1	1	yes	characteristic, complemented
95	C₂×Dic₁₉⋊C₄	C₂²	1	2	yes	complemented
96	#10597343	C₂²	1	1	yes	characteristic, complemented
97	#10597342	C₂²	1	1	yes	characteristic, complemented
98	#10597342	C₂²	1	2	yes	complemented
99	#10597341	C₂²	1	1	yes	characteristic, complemented
100	#10597340	C₂²	1	1	yes	characteristic, complemented
101	C₄⋊C₄×D₁₉	C₂²	1	1	yes	characteristic, complemented
102	#10597333	C₂²	1	1	yes	characteristic, complemented
103	#10597332	C₂²	1	2	yes	complemented
104	#10597331	C₂²	1	2	yes	complemented
105	#10597331	C₂²	1	2	yes	complemented
106	#10597330	C₂²	1	1	yes	characteristic, complemented
107	#10597330	C₂²	1	2	yes	complemented
108	#10597330	C₂²	1	2	yes	complemented
109	#10597330	C₂²	1	2	yes	complemented
110	#10597329	C₂²	1	1	yes	characteristic, 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⋊D₁₉)⋊C₄	C₂²	1	2	yes	complemented
116	C₂²⋊C₄×D₁₉	C₂²	1	2	yes	complemented
117	#10597324	C₂²	1	1	yes	characteristic, complemented
118	#10597324	C₂²	1	2	yes	complemented
119	#10597324	C₂²	1	2	yes	complemented
120	#10597323	C₂²	1	2	yes	complemented
121	#10597321	C₂²	1	1	yes	characteristic, complemented
122	C₄×D₇₆	C₂²	1	1	yes	characteristic, complemented
123	#10597318	C₂²	1	1	yes	characteristic, complemented
124	C₄×Dic₃₈	C₂²	1	1	yes	characteristic, complemented
125	C₂⁴×C₁₉	C₂³	1	2	yes	—
126	C₂⁴×C₁₉	C₂³	1	2	yes	—
127	C₂³×D₁₉	C₂³	1	1	yes	characteristic
128	C₂³×D₁₉	C₂³	1	2	yes	—
129	C₂³×D₁₉	C₂³	1	2	yes	—
130	C₂×D₄×C₁₉	—	2	4	no	—
131	C₂×D₄×C₁₉	—	2	4	no	—
132	C₂×D₄×C₁₉	—	4	4	no	—
133	C₂×D₄×C₁₉	C₂³	1	2	yes	—
134	C₂×D₄×C₁₉	C₂³	1	2	yes	—
135	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
136	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
137	C₂×D₄×C₁₉	C₂³	1	2	yes	—
138	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
139	C₂×D₄×C₁₉	C₂³	1	2	yes	—
140	C₂×D₄×C₁₉	C₂³	1	2	yes	—
141	C₂×D₄×C₁₉	C₂³	1	2	yes	—
142	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
143	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
144	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
145	C₂²×C₄×C₁₉	C₂³	1	2	yes	—
146	C₂×C₂²⋊D₁₉	—	2	8	no	—
147	C₂×C₂²⋊D₁₉	—	2	8	no	—
148	C₂×C₂²⋊D₁₉	—	2	8	no	—
149	C₂×C₂²⋊D₁₉	—	4	4	no	—
150	C₂×C₂²⋊D₁₉	C₂³	1	2	yes	—
151	C₂×C₂²⋊D₁₉	C₂³	1	2	yes	—
152	C₂×C₂²⋊D₁₉	C₂³	1	2	yes	—
153	C₂×C₂²⋊D₁₉	C₂³	1	2	yes	—
154	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
155	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
156	C₂×C₂²⋊D₁₉	C₂³	1	2	yes	—
157	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
158	C₂×C₂²⋊D₁₉	C₂³	1	2	yes	—
159	C₂×C₂²⋊D₁₉	C₂³	1	2	yes	—
160	C₂×C₂²⋊D₁₉	C₂³	1	2	yes	—
161	C₂×C₂²⋊D₁₉	C₂³	1	2	yes	—
162	C₂×C₂²⋊D₁₉	C₂³	1	2	yes	—
163	C₂×C₂²⋊D₁₉	C₂³	1	2	yes	—
164	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
165	C₂×C₂²⋊D₁₉	C₂³	1	2	yes	—
166	C₂×C₂²⋊D₁₉	C₂³	1	2	yes	—
167	C₂²×Dic₁₉	—	2	8	no	—
168	C₂²×Dic₁₉	C₂³	1	2	yes	—
169	C₂²×Dic₁₉	C₂³	1	2	yes	—
170	C₂²×Dic₁₉	C₂³	1	2	yes	—
171	C₂²×Dic₁₉	C₂³	1	2	yes	—
172	C₂²×Dic₁₉	C₂³	1	1	yes	characteristic
173	C₂²×Dic₁₉	C₂³	1	2	yes	—
174	C₂²×Dic₁₉	C₂³	1	2	yes	—
175	C₂²×Dic₁₉	C₂³	1	2	yes	—
176	#64543	—	2	4	no	—
177	#64543	—	2	8	no	—
178	#64543	—	2	8	no	—
179	#64543	—	2	8	no	—
180	#64543	—	2	4	no	—
181	#64543	—	2	4	no	—
182	#64543	—	2	4	no	—
183	#64543	D₄	1	8	yes	complemented
184	D₄×D₁₉	—	2	4	no	—
185	D₄×D₁₉	—	2	8	no	—
186	D₄×D₁₉	—	2	4	no	—
187	D₄×D₁₉	—	4	4	no	—
188	#64541	—	2	4	no	—
189	#64541	—	2	4	no	—
190	C₂×D₇₆	C₂³	1	1	yes	characteristic
191	C₂×D₇₆	C₂³	1	1	yes	characteristic
192	C₂×D₇₆	C₂³	1	2	yes	—
193	C₂×D₇₆	C₂³	1	1	yes	characteristic
194	C₂×C₄×D₁₉	—	2	4	no	—
195	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
196	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
197	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
198	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
199	C₂×C₄×D₁₉	C₂³	1	2	yes	—
200	C₂×C₄×D₁₉	C₂³	1	2	yes	—
201	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
202	C₂×Dic₃₈	—	2	4	no	—
203	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
204	C₂×Dic₃₈	C₂³	1	2	yes	—
205	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
206	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
207	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
208	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
209	C₂²⋊C₄×C₁₉	C₂³	1	2	yes	—
210	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
211	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
212	C₂²⋊C₄×C₁₉	C₂³	1	2	yes	—
213	C₂²⋊C₄×C₁₉	C₂³	1	2	yes	—
214	C₄²×C₁₉	C₂³	1	1	yes	characteristic
215	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
216	C₂²⋊Dic₁₉	C₂³	1	2	yes	—
217	C₂²⋊Dic₁₉	C₂³	1	2	yes	—
218	C₂²⋊Dic₁₉	C₂³	1	2	yes	—
219	C₂²⋊Dic₁₉	C₂³	1	2	yes	—
220	C₂²⋊Dic₁₉	C₂³	1	2	yes	—
221	C₂²⋊Dic₁₉	C₂³	1	2	yes	—
222	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
223	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
224	(C₂×D₁₉)⋊C₄	C₂³	1	2	yes	—
225	(C₂×D₁₉)⋊C₄	C₂³	1	2	yes	—
226	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
227	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
228	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
229	(C₂×D₁₉)⋊C₄	C₂³	1	2	yes	—
230	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
231	(C₂×D₁₉)⋊C₄	C₂³	1	2	yes	—
232	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
233	(C₂×D₁₉)⋊C₄	C₂³	1	2	yes	—
234	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
235	C₄⋊Dic₁₉	C₂³	1	2	yes	—
236	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
237	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
238	Dic₁₉⋊C₄	C₂³	1	2	yes	—
239	Dic₁₉⋊C₄	C₂³	1	2	yes	—
240	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
241	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
242	Dic₁₉⋊C₄	C₂³	1	2	yes	—
243	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
244	Dic₁₉⋊C₄	C₂³	1	2	yes	—
245	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
246	C₄×Dic₁₉	C₂³	1	2	yes	—
247	C₄×Dic₁₉	C₂³	1	2	yes	—
248	C₂³×C₁₉	—	2	4	no	—
249	C₂³×C₁₉	—	2	4	no	—
250	C₂³×C₁₉	—	2	4	no	—
251	C₂³×C₁₉	—	4	2	no	—
252	C₂³×C₁₉	—	4	2	no	—
253	C₂³×C₁₉	—	4	2	no	—
254	C₂³×C₁₉	C₂⁴	1	2	yes	—
255	C₂³×C₁₉	C₂⁴	1	1	yes	characteristic
256	C₂³×C₁₉	C₂⁴	1	2	yes	—
257	C₂³×C₁₉	C₂⁴	1	2	yes	—
258	C₂³×C₁₉	C₂⁴	1	1	yes	characteristic
259	C₂²×D₁₉	—	2	2	no	—
260	C₂²×D₁₉	—	2	4	no	—
261	C₂²×D₁₉	—	2	2	no	—
262	C₂²×D₁₉	—	2	4	no	—
263	C₂²×D₁₉	—	4	1	no	—
264	C₂²×D₁₉	—	4	2	no	—
265	C₂²×D₁₉	—	4	2	no	—
266	C₂²×D₁₉	—	4	2	no	—
267	C₂²×D₁₉	—	4	2	no	—
268	C₂²×D₁₉	C₂⁴	1	2	yes	—
269	C₂²×D₁₉	C₂⁴	1	1	yes	characteristic
270	C₂²×D₁₉	C₂⁴	1	1	yes	characteristic
271	C₂²×D₁₉	C₂⁴	1	1	yes	characteristic
272	D₄×C₁₉	—	2	4	no	—
273	D₄×C₁₉	—	2	4	no	—
274	D₄×C₁₉	—	2	4	no	—
275	D₄×C₁₉	—	2	2	no	—
276	D₄×C₁₉	—	2	2	no	—
277	D₄×C₁₉	—	2	2	no	—
278	D₄×C₁₉	—	4	2	no	—
279	D₄×C₁₉	—	4	2	no	—
280	D₄×C₁₉	—	4	2	no	—
281	D₄×C₁₉	C₂×D₄	1	4	yes	complemented
282	C₂×C₄×C₁₉	—	2	2	no	—
283	C₂×C₄×C₁₉	—	2	2	no	—
284	C₂×C₄×C₁₉	—	4	2	no	—
285	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
286	C₂×C₄×C₁₉	C₂⁴	1	2	yes	—
287	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
288	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
289	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
290	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
291	C₂²⋊D₁₉	—	2	4	no	—
292	C₂²⋊D₁₉	—	2	4	no	—
293	C₂²⋊D₁₉	—	2	4	no	—
294	C₂²⋊D₁₉	—	2	2	no	—
295	C₂²⋊D₁₉	—	2	2	no	—
296	C₂²⋊D₁₉	—	2	4	no	—
297	C₂²⋊D₁₉	—	2	4	no	—
298	C₂²⋊D₁₉	—	2	2	no	—
299	C₂²⋊D₁₉	—	2	4	no	—
300	C₂²⋊D₁₉	—	2	4	no	—
301	C₂²⋊D₁₉	—	2	4	no	—
302	C₂²⋊D₁₉	—	4	2	no	—
303	C₂²⋊D₁₉	—	4	2	no	—
304	C₂²⋊D₁₉	—	4	2	no	—
305	C₂²⋊D₁₉	—	4	1	no	—
306	C₂²⋊D₁₉	—	4	2	no	—
307	C₂²⋊D₁₉	C₂×D₄	1	8	yes	complemented
308	C₂×Dic₁₉	—	2	4	no	—
309	C₂×Dic₁₉	—	2	4	no	—
310	C₂×Dic₁₉	—	2	2	no	—
311	C₂×Dic₁₉	—	2	4	no	—
312	C₂×Dic₁₉	—	2	4	no	—
313	C₂×Dic₁₉	—	2	4	no	—
314	C₂×Dic₁₉	—	4	2	no	—
315	C₂×Dic₁₉	C₂×D₄	1	8	yes	complemented
316	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
317	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
318	C₂×Dic₁₉	C₂⁴	1	2	yes	—
319	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
320	C₂×Dic₁₉	C₂⁴	1	2	yes	—
321	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
322	C₂×Dic₁₉	C₂⁴	1	2	yes	—
323	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
324	D₇₆	—	2	2	no	—
325	D₇₆	—	2	2	no	—
326	D₇₆	—	4	1	no	—
327	D₇₆	—	4	2	no	—
328	C₄×D₁₉	—	2	2	no	—
329	C₄×D₁₉	—	2	2	no	—
330	C₄×D₁₉	—	2	2	no	—
331	C₄×D₁₉	—	2	2	no	—
332	C₄×D₁₉	—	2	4	no	—
333	C₄×D₁₉	—	4	2	no	—
334	C₄×D₁₉	C₂×D₄	1	4	yes	complemented
335	Dic₃₈	—	2	2	no	—
336	Dic₃₈	—	2	4	no	—
337	Dic₃₈	—	2	2	no	—
338	Dic₃₈	C₂×D₄	1	4	yes	complemented
339	#3488	—	19	1	no	maximal, Sylow
340	C₂²×C₁₉	—	2	1	no	—
341	C₂²×C₁₉	—	2	2	no	—
342	C₂²×C₁₉	—	2	1	no	—
343	C₂²×C₁₉	—	2	2	no	—
344	C₂²×C₁₉	—	2	2	no	—
345	C₂²×C₁₉	—	2	2	no	—
346	C₂²×C₁₉	—	2	1	no	—
347	C₂²×C₁₉	—	2	2	no	—
348	C₂²×C₁₉	—	2	2	no	—
349	C₂²×C₁₉	—	2	1	no	—
350	C₂²×C₁₉	—	2	2	no	—
351	C₂²×C₁₉	—	2	1	no	—
352	C₂²×C₁₉	—	2	2	no	—
353	C₂²×C₁₉	—	4	8	no	—
354	C₂²×C₁₉	—	8	4	no	—
355	C₂²×C₁₉	C₂²×D₄	1	4	yes	—
356	C₂²×C₁₉	H(5,𝔽₂)	1	2	yes	complemented
357	C₂²×C₁₉	C₂⁵	1	1	yes	characteristic
358	C₂×D₁₉	—	2	1	no	—
359	C₂×D₁₉	—	2	1	no	—
360	C₂×D₁₉	—	2	1	no	—
361	C₂×D₁₉	—	2	1	no	—
362	C₂×D₁₉	—	2	2	no	—
363	C₂×D₁₉	—	2	1	no	—
364	C₂×D₁₉	—	2	2	no	—
365	C₂×D₁₉	—	2	1	no	—
366	C₂×D₁₉	—	2	1	no	—
367	C₂×D₁₉	—	2	1	no	—
368	C₂×D₁₉	—	2	2	no	—
369	C₂×D₁₉	—	4	4	no	—
370	C₂×D₁₉	—	8	4	no	—
371	C₂×D₁₉	—	8	4	no	—
372	C₂×D₁₉	C₂²×D₄	1	2	yes	—
373	C₄×C₁₉	—	2	1	no	—
374	C₄×C₁₉	—	2	1	no	—
375	C₄×C₁₉	—	2	2	no	—
376	C₄×C₁₉	—	2	1	no	—
377	C₄×C₁₉	—	2	1	no	—
378	C₄×C₁₉	C₂²×D₄	1	2	yes	—
379	Dic₁₉	—	2	2	no	—
380	Dic₁₉	—	2	1	no	—
381	Dic₁₉	—	2	1	no	—
382	Dic₁₉	—	2	2	no	—
383	Dic₁₉	—	2	1	no	—
384	Dic₁₉	—	2	1	no	—
385	Dic₁₉	C₂²×D₄	1	4	yes	—
386	Dic₁₉	C₂²×D₄	1	2	yes	—
387	C₂×H(5,𝔽₂)	—	19	1	no	—
388	C₂²×#41	—	19	1	no	—
389	#550	—	19	1	no	—
390	#550	—	19	1	no	—
391	#548	—	19	1	no	—
392	#548	—	19	1	no	—
393	#546	—	19	1	no	—
394	#546	—	19	2	no	—
395	#546	—	19	2	no	—
396	#546	—	19	1	no	—
397	D₄²	—	19	1	no	—
398	D₄²	—	19	2	no	—
399	D₄²	—	19	2	no	—
400	D₄²	D₁₉	1	1	yes	characteristic, complemented
401	#537	—	19	2	no	—
402	#537	—	19	1	no	—
403	#535	—	19	1	no	—
404	#535	—	19	2	no	—
405	#525	—	19	2	no	—
406	#525	—	19	1	no	—
407	C₂×#121	—	19	2	no	—
408	C₂×#121	—	19	1	no	—
409	#520	—	19	1	no	—
410	C₂×C₁₉	—	2	2	no	—
411	C₂×C₁₉	—	2	4	no	—
412	C₂×C₁₉	—	4	2	no	—
413	C₂×C₁₉	—	4	2	no	—
414	C₂×C₁₉	—	4	1	no	—
415	C₂×C₁₉	C₂³×D₄	1	1	yes	characteristic
416	C₂×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
417	C₂×C₁₉	#585	1	1	yes	characteristic
418	D₁₉	—	2	2	no	—
419	D₁₉	—	4	1	no	—
420	D₁₉	—	4	2	no	—
421	D₁₉	—	4	1	no	—
422	H(5,𝔽₂)	—	38	8	no	—
423	C₂×#41	—	19	1	no	—
424	C₂×#41	—	19	2	no	—
425	C₂×#41	—	19	2	no	—
426	C₂×#41	—	19	1	no	—
427	C₂×#41	—	19	1	no	—
428	C₂×#41	—	19	2	no	—
429	C₂×#41	—	19	1	no	—
430	C₂×#41	—	19	1	no	—
431	C₂×#41	—	19	1	no	—
432	C₂×#41	—	19	1	no	—
433	C₂×#41	—	38	8	no	—
434	C₂²×Q₈	—	19	1	no	—
435	C₂²×D₄	—	19	2	no	—
436	C₂²×D₄	—	19	2	no	—
437	C₂²×D₄	—	19	2	no	—
438	C₂²×D₄	—	19	2	no	—
439	C₂²×D₄	—	19	1	no	—
440	C₂²×D₄	—	19	2	no	—
441	C₂²×D₄	—	19	1	no	—
442	C₂²×D₄	—	19	2	no	—
443	C₂²×D₄	C₂×D₁₉	1	1	yes	characteristic, complemented
444	C₂²×D₄	C₂×D₁₉	1	1	yes	characteristic, complemented
445	C₂²×D₄	C₂×D₁₉	1	2	yes	complemented
446	C₂³×C₄	—	19	2	no	—
447	C₂³×C₄	—	19	1	no	—
448	#127	—	19	2	no	—
449	#127	—	19	2	no	—
450	#127	—	19	1	no	—
451	#127	C₂×D₁₉	1	1	yes	characteristic, complemented
452	#124	—	19	1	no	—
453	#124	—	19	2	no	—
454	#124	—	19	2	no	—
455	#124	—	19	1	no	—
456	#123	—	19	2	no	—
457	#123	—	19	1	no	—
458	#123	—	19	1	no	—
459	#123	—	19	2	no	—
460	C₂²⋊Q₈	—	19	1	no	—
461	C₂²⋊Q₈	—	19	1	no	—
462	C₂²⋊Q₈	—	19	2	no	—
463	C₂²⋊Q₈	—	19	1	no	—
464	C₂²⋊Q₈	—	19	1	no	—
465	C₂²⋊Q₈	—	19	2	no	—
466	C₂²⋊Q₈	—	19	2	no	—
467	#121	—	19	1	no	—
468	#121	—	19	2	no	—
469	#121	—	19	1	no	—
470	#121	—	19	2	no	—
471	#121	—	19	1	no	—
472	#121	—	19	2	no	—
473	#121	—	19	2	no	—
474	#121	—	19	2	no	—
475	#121	—	19	2	no	—
476	#121	—	19	2	no	—
477	#121	—	19	2	no	—
478	#121	—	19	2	no	—
479	#121	—	19	2	no	—
480	#121	—	19	2	no	—
481	#121	—	19	2	no	—
482	#121	—	19	1	no	—
483	#121	—	19	2	no	—
484	#121	—	19	1	no	—
485	#121	—	19	2	no	—
486	#121	—	19	1	no	—
487	#121	—	19	2	no	—
488	#121	—	19	2	no	—
489	#121	C₂×D₁₉	1	1	yes	characteristic, complemented
490	#121	C₂×D₁₉	1	2	yes	complemented
491	#121	C₂×D₁₉	1	1	yes	characteristic, complemented
492	#120	—	19	2	no	—
493	#120	—	19	2	no	—
494	#120	—	19	1	no	—
495	#120	—	19	2	no	—
496	#120	—	19	2	no	—
497	#120	—	19	2	no	—
498	#120	—	19	1	no	—
499	#120	—	19	2	no	—
500	#120	C₂×D₁₉	1	2	yes	complemented
501	#120	C₂×D₁₉	1	2	yes	complemented
502	C₄×Q₈	—	19	1	no	—
503	C₄×Q₈	—	19	1	no	—
504	C₄×D₄	—	19	1	no	—
505	C₄×D₄	—	19	2	no	—
506	C₄×D₄	—	19	2	no	—
507	C₄×D₄	—	19	2	no	—
508	C₄×D₄	—	19	1	no	—
509	C₄×D₄	—	19	1	no	—
510	C₄×D₄	—	19	2	no	—
511	C₄×D₄	—	19	2	no	—
512	C₄×D₄	—	19	2	no	—
513	C₄×D₄	—	19	1	no	—
514	C₄×D₄	C₂×D₁₉	1	1	yes	characteristic, complemented
515	C₄×D₄	C₂×D₁₉	1	1	yes	characteristic, complemented
516	#117	—	19	2	no	—
517	#117	—	19	1	no	—
518	C₂×C₄⋊C₄	—	19	2	no	—
519	C₂×C₄⋊C₄	—	19	1	no	—
520	C₂×C₂²⋊C₄	—	19	2	no	—
521	C₂×C₂²⋊C₄	—	19	2	no	—
522	C₂×C₂²⋊C₄	—	19	2	no	—
523	C₁₉	#3488	1	1	yes	characteristic, complemented, Sylow
524	C₂⁴	—	19	1	no	—
525	C₂⁴	—	19	2	no	—
526	C₂⁴	—	19	2	no	—
527	C₂⁴	C₂²×D₁₉	1	2	yes	—
528	C₂⁴	C₂²×D₁₉	1	2	yes	—
529	#41	—	19	8	no	—
530	#41	—	38	4	no	—
531	#41	—	38	4	no	—
532	#41	—	38	8	no	—
533	#41	—	38	4	no	—
534	#41	—	38	8	no	—
535	#41	—	38	8	no	—
536	#41	—	38	4	no	—
537	#41	—	38	4	no	—
538	#41	—	38	4	no	—
539	C₂×Q₈	—	19	1	no	—
540	C₂×Q₈	—	19	1	no	—
541	C₂×Q₈	—	19	2	no	—
542	C₂×Q₈	—	19	1	no	—
543	C₂×Q₈	—	38	4	no	—
544	C₂×D₄	—	2	4	no	—
545	C₂×D₄	—	2	4	no	—
546	C₂×D₄	—	4	4	no	—
547	C₂×D₄	—	19	2	no	—
548	C₂×D₄	—	19	2	no	—
549	C₂×D₄	—	19	1	no	—
550	C₂×D₄	—	19	2	no	—
551	C₂×D₄	—	19	2	no	—
552	C₂×D₄	—	19	1	no	—
553	C₂×D₄	—	19	2	no	—
554	C₂×D₄	—	19	2	no	—
555	C₂×D₄	—	19	1	no	—
556	C₂×D₄	—	19	2	no	—
557	C₂×D₄	—	19	2	no	—
558	C₂×D₄	—	19	2	no	—
559	C₂×D₄	—	19	2	no	—
560	C₂×D₄	—	19	1	no	—
561	C₂×D₄	—	19	2	no	—
562	C₂×D₄	—	19	2	no	—
563	C₂×D₄	—	19	2	no	—
564	C₂×D₄	—	19	1	no	—
565	C₂×D₄	—	19	1	no	—
566	C₂×D₄	—	19	1	no	—
567	C₂×D₄	—	19	2	no	—
568	C₂×D₄	—	38	4	no	—
569	C₂×D₄	—	38	8	no	—
570	C₂×D₄	—	38	8	no	—
571	C₂×D₄	—	38	8	no	—
572	C₂×D₄	—	38	8	no	—
573	C₂×D₄	—	38	4	no	—
574	C₂×D₄	—	76	4	no	—
575	C₂×D₄	—	76	4	no	—
576	C₂×D₄	C₂²×D₁₉	1	2	yes	—
577	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
578	C₂×D₄	C₂²×D₁₉	1	2	yes	—
579	C₂×D₄	C₂²×D₁₉	1	2	yes	—
580	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
581	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
582	C₂×D₄	C₂²×D₁₉	1	2	yes	—
583	C₂×D₄	C₂²×D₁₉	1	2	yes	—
584	C₂×D₄	C₂²×D₁₉	1	2	yes	—
585	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
586	C₂²×C₄	—	19	2	no	—
587	C₂²×C₄	—	19	1	no	—
588	C₂²×C₄	—	19	2	no	—
589	C₂²×C₄	—	19	2	no	—
590	C₂²×C₄	—	19	2	no	—
591	C₂²×C₄	—	19	2	no	—
592	C₂²×C₄	—	19	1	no	—
593	C₂²×C₄	—	19	2	no	—
594	C₂²×C₄	—	19	2	no	—
595	C₂²×C₄	—	19	1	no	—
596	C₂²×C₄	—	19	1	no	—
597	C₂²×C₄	—	19	2	no	—
598	C₂²×C₄	—	19	1	no	—
599	C₂²×C₄	—	19	1	no	—
600	C₂²×C₄	—	19	2	no	—
601	C₂²×C₄	—	38	4	no	—
602	C₂²×C₄	—	38	8	no	—
603	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
604	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
605	C₂²×C₄	C₂²×D₁₉	1	2	yes	—
606	C₄⋊C₄	—	19	2	no	—
607	C₄⋊C₄	—	19	1	no	—
608	C₄⋊C₄	—	19	2	no	—
609	C₄⋊C₄	—	19	2	no	—
610	C₄⋊C₄	—	19	1	no	—
611	C₄⋊C₄	—	19	1	no	—
612	C₄⋊C₄	—	19	2	no	—
613	C₄⋊C₄	—	19	1	no	—
614	C₄⋊C₄	—	19	1	no	—
615	C₄⋊C₄	—	19	1	no	—
616	C₄⋊C₄	—	19	2	no	—
617	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
618	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
619	C₂²⋊C₄	—	19	2	no	—
620	C₂²⋊C₄	—	19	1	no	—
621	C₂²⋊C₄	—	19	2	no	—
622	C₂²⋊C₄	—	19	2	no	—
623	C₂²⋊C₄	—	19	2	no	—
624	C₂²⋊C₄	—	19	1	no	—
625	C₂²⋊C₄	—	19	2	no	—
626	C₂²⋊C₄	—	19	2	no	—
627	C₂²⋊C₄	—	19	2	no	—
628	C₂²⋊C₄	—	19	1	no	—
629	C₂²⋊C₄	—	19	2	no	—
630	C₂²⋊C₄	—	19	2	no	—
631	C₂²⋊C₄	—	19	2	no	—
632	C₂²⋊C₄	—	19	1	no	—
633	C₂²⋊C₄	—	19	1	no	—
634	C₂²⋊C₄	—	19	1	no	—
635	C₂²⋊C₄	—	19	2	no	—
636	C₂²⋊C₄	—	19	1	no	—
637	C₂²⋊C₄	—	19	1	no	—
638	C₂²⋊C₄	C₂²×D₁₉	1	2	yes	—
639	C₂²⋊C₄	C₂²×D₁₉	1	2	yes	—
640	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
641	C₂²⋊C₄	C₂²×D₁₉	1	2	yes	—
642	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
643	C₄²	—	19	2	no	—
644	C₄²	—	19	2	no	—
645	C₄²	—	19	1	no	—
646	C₄²	C₂²×D₁₉	1	1	yes	characteristic
647	C₂³	—	2	4	no	—
648	C₂³	—	2	4	no	—
649	C₂³	—	2	4	no	—
650	C₂³	—	4	2	no	—
651	C₂³	—	4	2	no	—
652	C₂³	—	4	2	no	—
653	C₂³	—	19	1	no	—
654	C₂³	—	19	2	no	—
655	C₂³	—	19	1	no	—
656	C₂³	—	19	1	no	—
657	C₂³	—	38	2	no	—
658	C₂³	—	38	4	no	—
659	C₂³	—	38	2	no	—
660	C₂³	—	38	4	no	—
661	C₂³	—	76	1	no	—
662	C₂³	—	76	2	no	—
663	C₂³	—	76	2	no	—
664	C₂³	—	76	2	no	—
665	C₂³	—	76	2	no	—
666	C₂³	C₂³×D₁₉	1	2	yes	—
667	C₂³	C₂³×D₁₉	1	1	yes	characteristic
668	C₂³	C₂³×D₁₉	1	2	yes	—
669	C₂³	C₂³×D₁₉	1	2	yes	—
670	C₂³	C₂³×D₁₉	1	1	yes	characteristic
671	Q₈	—	19	4	no	—
672	Q₈	—	38	4	no	—
673	Q₈	—	38	2	no	—
674	Q₈	—	38	2	no	—
675	D₄	—	2	4	no	—
676	D₄	—	2	4	no	—
677	D₄	—	2	2	no	—
678	D₄	—	2	4	no	—
679	D₄	—	2	2	no	—
680	D₄	—	2	2	no	—
681	D₄	—	4	2	no	—
682	D₄	—	4	2	no	—
683	D₄	—	4	2	no	—
684	D₄	—	19	8	no	—
685	D₄	—	38	2	no	—
686	D₄	—	38	2	no	—
687	D₄	—	38	4	no	—
688	D₄	—	38	4	no	—
689	D₄	—	38	4	no	—
690	D₄	—	38	4	no	—
691	D₄	—	38	2	no	—
692	D₄	—	38	4	no	—
693	D₄	—	38	4	no	—
694	D₄	—	38	4	no	—
695	D₄	—	38	4	no	—
696	D₄	—	38	2	no	—
697	D₄	—	38	2	no	—
698	D₄	—	76	2	no	—
699	D₄	—	76	1	no	—
700	D₄	—	76	2	no	—
701	D₄	—	76	2	no	—
702	D₄	—	76	2	no	—
703	D₄	—	76	2	no	—
704	D₄	—	76	1	no	—
705	D₄	D₄×D₁₉	1	4	yes	complemented
706	C₂×C₄	—	2	2	no	—
707	C₂×C₄	—	2	2	no	—
708	C₂×C₄	—	4	2	no	—
709	C₂×C₄	—	19	8	no	—
710	C₂×C₄	—	19	2	no	—
711	C₂×C₄	—	19	1	no	—
712	C₂×C₄	—	19	4	no	—
713	C₂×C₄	—	19	1	no	—
714	C₂×C₄	—	19	1	no	—
715	C₂×C₄	—	19	2	no	—
716	C₂×C₄	—	19	1	no	—
717	C₂×C₄	—	19	2	no	—
718	C₂×C₄	—	19	1	no	—
719	C₂×C₄	—	38	2	no	—
720	C₂×C₄	—	38	4	no	—
721	C₂×C₄	—	38	2	no	—
722	C₂×C₄	—	38	2	no	—
723	C₂×C₄	—	38	4	no	—
724	C₂×C₄	—	38	4	no	—
725	C₂×C₄	—	38	4	no	—
726	C₂×C₄	—	38	4	no	—
727	C₂×C₄	—	38	4	no	—
728	C₂×C₄	—	38	2	no	—
729	C₂×C₄	—	38	2	no	—
730	C₂×C₄	—	76	2	no	—
731	C₂×C₄	—	76	2	no	—
732	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
733	C₂×C₄	C₂³×D₁₉	1	2	yes	—
734	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
735	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
736	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
737	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
738	C₂²	—	2	1	no	—
739	C₂²	—	2	2	no	—
740	C₂²	—	2	1	no	—
741	C₂²	—	2	2	no	—
742	C₂²	—	2	1	no	—
743	C₂²	—	2	2	no	—
744	C₂²	—	2	2	no	—
745	C₂²	—	2	1	no	—
746	C₂²	—	2	2	no	—
747	C₂²	—	2	2	no	—
748	C₂²	—	2	2	no	—
749	C₂²	—	2	2	no	—
750	C₂²	—	2	1	no	—
751	C₂²	—	4	8	no	—
752	C₂²	—	8	4	no	—
753	C₂²	—	19	2	no	—
754	C₂²	—	38	1	no	—
755	C₂²	—	38	1	no	—
756	C₂²	—	38	1	no	—
757	C₂²	—	38	2	no	—
758	C₂²	—	38	1	no	—
759	C₂²	—	38	2	no	—
760	C₂²	—	38	1	no	—
761	C₂²	—	38	1	no	—
762	C₂²	—	38	1	no	—
763	C₂²	—	38	1	no	—
764	C₂²	—	38	2	no	—
765	C₂²	—	76	4	no	—
766	C₂²	—	152	4	no	—
767	C₂²	—	152	4	no	—
768	C₂²	C₂×D₄×D₁₉	1	4	yes	—
769	C₂²	#10597430	1	2	yes	complemented
770	C₂²	C₂⁴×D₁₉	1	1	yes	characteristic
771	C₄	—	2	1	no	—
772	C₄	—	2	1	no	—
773	C₄	—	2	1	no	—
774	C₄	—	2	2	no	—
775	C₄	—	2	1	no	—
776	C₄	—	19	2	no	—
777	C₄	—	19	4	no	—
778	C₄	—	38	1	no	—
779	C₄	—	38	1	no	—
780	C₄	—	38	2	no	—
781	C₄	—	38	2	no	—
782	C₄	—	38	1	no	—
783	C₄	—	38	1	no	—
784	C₄	C₂×D₄×D₁₉	1	2	yes	—
785	C₂	—	2	2	no	—
786	C₂	—	2	4	no	—
787	C₂	—	4	2	no	—
788	C₂	—	4	1	no	—
789	C₂	—	4	2	no	—
790	C₂	—	38	2	no	—
791	C₂	—	76	1	no	—
792	C₂	—	76	1	no	—
793	C₂	—	76	2	no	—
794	C₂	C₂²×D₄×D₁₉	1	1	yes	characteristic
795	C₂	C₂×#10597430	1	1	yes	characteristic
796	C₂	#11927379	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₁₉
commutator, socle, cosocle	C₂²×C₁₉	C₂⁵
Fitting	D₄²×C₁₉	C₂
hypercenter	D₄²	D₁₉
hypocenter	C₁₉	#3488
LCS	G ▷ C₂²×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂² ◁ D₄²

Complements

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

N	H ≅ G/N	type
1. C₂×#10597430	C₂	semidirect
2. C₂²×#64543	C₂	semidirect
3. #11927214	C₂	semidirect
4. #11927212	C₂	semidirect
5. #11927203	C₂	semidirect
6. #11927200	C₂	semidirect
7. #11927189	C₂	semidirect
8. #11927188	C₂	semidirect
9. #11927183	C₂	semidirect
10. #11927181	C₂	semidirect
11. D₄×C₂²⋊D₁₉	C₂	semidirect
12. D₄×C₂²⋊D₁₉	C₂	semidirect
13. #11927176	C₂	semidirect
14. #11927123	C₂	semidirect
15. #11927121	C₂	semidirect
16. #11927109	C₂	semidirect
17. #11927107	C₂	semidirect
18. #11927053	C₂	semidirect
19. #11927050	C₂	semidirect
20. C₂×#10597385	C₂	semidirect
21. #121×D₁₉	C₂	semidirect
22. #11927023	C₂	semidirect
23. D₄²×C₁₉	C₂	semidirect
24. C₂²×D₄×C₁₉	C₂²	semidirect
25. C₂²×D₄×C₁₉	C₂²	semidirect
26. C₂²×D₄×C₁₉	C₂²	semidirect
27. C₂²×C₂²⋊D₁₉	C₂²	semidirect
28. C₂²×C₂²⋊D₁₉	C₂²	semidirect
29. C₂²×C₂²⋊D₁₉	C₂²	semidirect
30. C₂²×C₂²⋊D₁₉	C₂²	semidirect
31. C₂³×Dic₁₉	C₂²	semidirect
35. C₂×#64543	C₂²	semidirect
36. C₂×#64543	C₂²	semidirect
37. C₂×#64543	C₂²	semidirect
38. C₂×#64543	C₂²	semidirect
39. C₂×#64543	C₂²	semidirect
40. C₂×#64543	C₂²	semidirect
41. C₂×#64543	C₂²	semidirect
42. C₂×D₄×D₁₉	C₂²	semidirect
43. C₂×D₄×D₁₉	C₂²	semidirect
44. C₂×D₄×D₁₉	C₂²	semidirect
45. C₂×D₄×D₁₉	C₂²	semidirect
46. C₂×#64541	C₂²	semidirect
47. C₂×#64541	C₂²	semidirect
48. C₂²×C₄×D₁₉	C₂²	semidirect
49. C₂²×Dic₃₈	C₂²	semidirect
50. C₁₉×#127	C₂²	semidirect
51. C₁₉×#121	C₂²	semidirect
52. C₁₉×#121	C₂²	semidirect
53. C₁₉×#121	C₂²	semidirect
54. C₁₉×#120	C₂²	semidirect
55. C₁₉×#120	C₂²	semidirect
56. C₄×D₄×C₁₉	C₂²	semidirect
57. C₄×D₄×C₁₉	C₂²	semidirect
58. #10597399	C₂²	semidirect
59. #10597399	C₂²	semidirect
60. C₂×C₂²⋊Dic₁₉	C₂²	semidirect
61. #10597386	C₂²	semidirect
62. #10597386	C₂²	semidirect
63. #10597386	C₂²	semidirect
64. #10597385	C₂²	semidirect
65. #10597385	C₂²	semidirect
66. #10597385	C₂²	semidirect
67. #10597385	C₂²	semidirect
68. #10597385	C₂²	semidirect
69. #10597385	C₂²	semidirect
70. #10597385	C₂²	semidirect
71. #10597385	C₂²	semidirect
72. #10597385	C₂²	semidirect
73. #10597385	C₂²	semidirect
74. #10597385	C₂²	semidirect
75. #10597385	C₂²	semidirect
76. #10597384	C₂²	semidirect
77. #10597384	C₂²	semidirect
78. #10597384	C₂²	semidirect
79. #10597383	C₂²	semidirect
80. #10597383	C₂²	semidirect
81. #10597383	C₂²	semidirect
82. #10597383	C₂²	semidirect
83. #10597382	C₂²	semidirect
84. #10597381	C₂²	semidirect
85. D₄×Dic₁₉	C₂²	semidirect
86. D₄×Dic₁₉	C₂²	semidirect
87. D₄×Dic₁₉	C₂²	semidirect
88. #10597376	C₂²	semidirect
89. #10597376	C₂²	semidirect
90. C₄×C₂²⋊D₁₉	C₂²	semidirect
91. C₄×C₂²⋊D₁₉	C₂²	semidirect
92. C₄×C₂²⋊D₁₉	C₂²	semidirect
93. C₂×(C₂×D₁₉)⋊C₄	C₂²	semidirect
94. #10597370	C₂²	semidirect
95. C₂×Dic₁₉⋊C₄	C₂²	semidirect
96. #10597343	C₂²	semidirect
97. #10597342	C₂²	semidirect
98. #10597342	C₂²	semidirect
99. #10597341	C₂²	semidirect
100. #10597340	C₂²	semidirect
101. C₄⋊C₄×D₁₉	C₂²	semidirect
102. #10597333	C₂²	semidirect
103. #10597332	C₂²	semidirect
104. #10597331	C₂²	semidirect
105. #10597331	C₂²	semidirect
106. #10597330	C₂²	semidirect
107. #10597330	C₂²	semidirect
108. #10597330	C₂²	semidirect
109. #10597330	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⋊D₁₉)⋊C₄	C₂²	semidirect
116. C₂²⋊C₄×D₁₉	C₂²	semidirect
117. #10597324	C₂²	semidirect
118. #10597324	C₂²	semidirect
119. #10597324	C₂²	semidirect
120. #10597323	C₂²	semidirect
121. #10597321	C₂²	semidirect
122. C₄×D₇₆	C₂²	semidirect
123. #10597318	C₂²	semidirect
124. C₄×Dic₃₈	C₂²	semidirect
183. #64543	D₄	semidirect
281. D₄×C₁₉	C₂×D₄	semidirect
307. C₂²⋊D₁₉	C₂×D₄	semidirect
315. C₂×Dic₁₉	C₂×D₄	semidirect
334. C₄×D₁₉	C₂×D₄	semidirect
338. Dic₃₈	C₂×D₄	semidirect
356. C₂²×C₁₉	H(5,𝔽₂)	semidirect
400. D₄²	D₁₉	semidirect
443. C₂²×D₄	C₂×D₁₉	semidirect
444. C₂²×D₄	C₂×D₁₉	semidirect
445. C₂²×D₄	C₂×D₁₉	semidirect
451. #127	C₂×D₁₉	semidirect
489. #121	C₂×D₁₉	semidirect
490. #121	C₂×D₁₉	semidirect
491. #121	C₂×D₁₉	semidirect
500. #120	C₂×D₁₉	semidirect
501. #120	C₂×D₁₉	semidirect
514. C₄×D₄	C₂×D₁₉	semidirect
515. C₄×D₄	C₂×D₁₉	semidirect
523. C₁₉	#3488	semidirect
705. D₄	D₄×D₁₉	semidirect
769. C₂²	#10597430	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
C₂²×#64543	2
#11927214	2
#11927212	2
#11927203	2
#11927200	2
#11927189	2
#11927188	2
#11927183	2
#11927181	2
D₄×C₂²⋊D₁₉	2
#11927176	2
#11927123	2
#11927121	2
#11927109	2
#11927107	2
#11927053	2
#11927050	2
C₂×#10597385	2
#121×D₁₉	2
#11927023	2
D₄²×C₁₉	2
#3488	19