Subgroups — #14577263

Order 2432.

1900 conjugacy classes of subgroups.

The subgroup lattice has 838 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×D₄×D₁₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#11927191	C₂	1	1	yes	maximal, characteristic, complemented
4	#11927190	C₂	1	1	yes	maximal, characteristic, complemented
5	#11927189	C₂	1	1	yes	maximal, characteristic, complemented
6	#11927188	C₂	1	1	yes	maximal, characteristic, complemented
7	#11927183	C₂	1	2	yes	maximal, complemented
8	#11927181	C₂	1	2	yes	maximal, complemented
9	#11927179	C₂	1	1	yes	maximal, characteristic, complemented
10	#11927178	C₂	1	1	yes	maximal, characteristic, complemented
11	D₄×C₂²⋊D₁₉	C₂	1	1	yes	maximal, characteristic, complemented
12	D₄×C₂²⋊D₁₉	C₂	1	2	yes	maximal, complemented
13	#11927176	C₂	1	2	yes	maximal, complemented
14	#11927110	C₂	1	1	yes	maximal, characteristic, complemented
15	#11927107	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×#10597383	C₂	1	2	yes	maximal, complemented
21	#120×D₁₉	C₂	1	2	yes	maximal, complemented
22	#11927016	C₂	1	1	yes	maximal, characteristic, complemented
23	D₄²×C₁₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂⁴×D₁₉	C₂²	1	2	yes	complemented
25	C₂²×D₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
26	C₂²×D₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
27	C₂²×D₄×C₁₉	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	C₂²×C₂²⋊D₁₉	C₂²	1	2	yes	complemented
32	#10597430	—	2	8	no	—
33	C₂×#64543	C₂²	1	1	yes	characteristic, complemented
34	C₂×#64543	C₂²	1	2	yes	complemented
35	C₂×#64543	C₂²	1	1	yes	characteristic, complemented
36	C₂×D₄×D₁₉	—	2	8	no	—
37	C₂×D₄×D₁₉	C₂²	1	1	yes	characteristic
38	C₂×D₄×D₁₉	C₂²	1	2	yes	complemented
39	C₂×D₄×D₁₉	C₂²	1	1	yes	characteristic, complemented
40	C₂×D₄×D₁₉	C₂²	1	2	yes	complemented
41	C₂×D₄×D₁₉	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×D₄×D₁₉	C₂²	1	2	yes	complemented
47	C₂×#64541	C₂²	1	1	yes	characteristic, complemented
48	C₂×#64541	C₂²	1	1	yes	characteristic, complemented
49	C₂²×D₇₆	C₂²	1	1	yes	characteristic, complemented
50	C₂²×C₄×D₁₉	C₂²	1	1	yes	characteristic, complemented
51	C₁₉×#127	C₂²	1	1	yes	characteristic, complemented
52	C₁₉×#121	C₂²	1	1	yes	characteristic, complemented
53	C₁₉×#121	C₂²	1	2	yes	complemented
54	C₁₉×#121	C₂²	1	1	yes	characteristic, complemented
55	C₁₉×#120	C₂²	1	2	yes	complemented
56	C₁₉×#120	C₂²	1	2	yes	complemented
57	C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
58	C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
59	#10597399	C₂²	1	2	yes	complemented
60	#10597399	C₂²	1	2	yes	complemented
61	C₂×C₂²⋊Dic₁₉	C₂²	1	2	yes	complemented
62	#10597386	C₂²	1	1	yes	characteristic, complemented
63	#10597386	C₂²	1	2	yes	complemented
64	#10597385	C₂²	1	1	yes	characteristic, complemented
65	#10597385	C₂²	1	2	yes	complemented
66	#10597385	C₂²	1	2	yes	complemented
67	#10597385	C₂²	1	2	yes	complemented
68	#10597385	C₂²	1	2	yes	complemented
69	#10597384	C₂²	1	1	yes	characteristic, complemented
70	#10597384	C₂²	1	2	yes	complemented
71	#10597384	C₂²	1	2	yes	complemented
72	#10597384	C₂²	1	1	yes	characteristic, complemented
73	#10597383	C₂²	1	1	yes	characteristic, complemented
74	#10597383	C₂²	1	2	yes	complemented
75	#10597383	C₂²	1	2	yes	complemented
76	#10597383	C₂²	1	2	yes	complemented
77	#10597383	C₂²	1	2	yes	complemented
78	#10597383	C₂²	1	2	yes	complemented
79	#10597383	C₂²	1	2	yes	complemented
80	#10597383	C₂²	1	2	yes	complemented
81	#10597383	C₂²	1	2	yes	complemented
82	#10597383	C₂²	1	2	yes	complemented
83	#10597383	C₂²	1	2	yes	complemented
84	#10597382	C₂²	1	1	yes	characteristic, complemented
85	#10597381	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	1	yes	characteristic, complemented
89	#10597376	C₂²	1	2	yes	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	C₂×(C₂×D₁₉)⋊C₄	C₂²	1	2	yes	complemented
95	#10597370	C₂²	1	1	yes	characteristic, complemented
96	#10597343	C₂²	1	1	yes	characteristic, complemented
97	#10597342	C₂²	1	1	yes	characteristic, complemented
98	#10597341	C₂²	1	1	yes	characteristic, complemented
99	#10597340	C₂²	1	1	yes	characteristic, complemented
100	#10597340	C₂²	1	2	yes	complemented
101	#10597339	C₂²	1	1	yes	characteristic, complemented
102	#10597338	C₂²	1	1	yes	characteristic, complemented
103	#10597332	C₂²	1	2	yes	complemented
104	#10597331	C₂²	1	2	yes	complemented
105	#10597330	C₂²	1	1	yes	characteristic, complemented
106	#10597330	C₂²	1	2	yes	complemented
107	#10597330	C₂²	1	2	yes	complemented
108	#10597329	C₂²	1	1	yes	characteristic, 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	#10597328	C₂²	1	2	yes	complemented
114	#10597328	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	C₂²⋊C₄×D₁₉	C₂²	1	2	yes	complemented
120	#10597324	C₂²	1	1	yes	characteristic, complemented
121	#10597321	C₂²	1	1	yes	characteristic, complemented
122	C₄×D₇₆	C₂²	1	1	yes	characteristic, complemented
123	C₄×D₇₆	C₂²	1	1	yes	characteristic, complemented
124	#10597318	C₂²	1	1	yes	characteristic, complemented
125	C₂⁴×C₁₉	C₂³	1	2	yes	—
126	C₂⁴×C₁₉	C₂³	1	2	yes	complemented
127	C₂³×D₁₉	—	2	8	no	—
128	C₂³×D₁₉	—	4	4	no	—
129	C₂³×D₁₉	—	4	4	no	—
130	C₂³×D₁₉	C₂³	1	1	yes	characteristic
131	C₂³×D₁₉	C₂³	1	2	yes	—
132	C₂³×D₁₉	C₂³	1	2	yes	—
133	C₂³×D₁₉	C₂³	1	2	yes	—
134	C₂³×D₁₉	C₂³	1	2	yes	—
135	C₂³×D₁₉	C₂³	1	2	yes	—
136	C₂³×D₁₉	C₂³	1	2	yes	complemented
137	C₂×D₄×C₁₉	—	2	4	no	—
138	C₂×D₄×C₁₉	—	2	4	no	—
139	C₂×D₄×C₁₉	—	4	4	no	—
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	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
144	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
145	C₂×D₄×C₁₉	C₂³	1	2	yes	complemented
146	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic, complemented
147	C₂×D₄×C₁₉	C₂³	1	2	yes	complemented
148	C₂×D₄×C₁₉	C₂³	1	2	yes	complemented
149	C₂×D₄×C₁₉	C₂³	1	2	yes	complemented
150	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
151	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic, complemented
152	C₂²×C₄×C₁₉	C₂³	1	2	yes	complemented
153	C₂×C₂²⋊D₁₉	—	2	8	no	—
154	C₂×C₂²⋊D₁₉	—	2	8	no	—
155	C₂×C₂²⋊D₁₉	—	2	8	no	—
156	C₂×C₂²⋊D₁₉	—	4	4	no	—
157	C₂×C₂²⋊D₁₉	C₂³	1	2	yes	—
158	C₂×C₂²⋊D₁₉	C₂³	1	2	yes	—
159	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
160	C₂×C₂²⋊D₁₉	C₂³	1	2	yes	—
161	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
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	complemented
167	C₂×C₂²⋊D₁₉	C₂³	1	2	yes	complemented
168	C₂×C₂²⋊D₁₉	C₂³	1	2	yes	complemented
169	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic, complemented
170	C₂×C₂²⋊D₁₉	C₂³	1	2	yes	complemented
171	C₂×C₂²⋊D₁₉	C₂³	1	2	yes	complemented
172	C₂×C₂²⋊D₁₉	C₂³	1	2	yes	complemented
173	C₂×C₂²⋊D₁₉	C₂³	1	2	yes	complemented
174	C₂²×Dic₁₉	C₂³	1	1	yes	characteristic
175	C₂²×Dic₁₉	C₂³	1	2	yes	complemented
176	C₂²×Dic₁₉	C₂³	1	2	yes	complemented
177	C₂²×Dic₁₉	C₂³	1	2	yes	complemented
178	#64543	—	2	4	no	—
179	#64543	—	2	8	no	—
180	#64543	—	2	4	no	—
181	D₄×D₁₉	—	2	8	no	—
182	D₄×D₁₉	—	2	8	no	—
183	D₄×D₁₉	—	2	4	no	—
184	D₄×D₁₉	—	2	8	no	—
185	D₄×D₁₉	—	2	4	no	—
186	D₄×D₁₉	—	2	4	no	—
187	D₄×D₁₉	—	2	4	no	—
188	D₄×D₁₉	—	4	4	no	—
189	D₄×D₁₉	—	4	4	no	—
190	D₄×D₁₉	D₄	1	8	yes	complemented
191	#64541	—	2	4	no	—
192	#64541	—	2	4	no	—
193	C₂×D₇₆	—	2	4	no	—
194	C₂×D₇₆	C₂³	1	1	yes	characteristic
195	C₂×D₇₆	C₂³	1	2	yes	—
196	C₂×D₇₆	C₂³	1	1	yes	characteristic
197	C₂×D₇₆	C₂³	1	1	yes	characteristic
198	C₂×D₇₆	C₂³	1	1	yes	characteristic
199	C₂×D₇₆	C₂³	1	2	yes	complemented
200	C₂×C₄×D₁₉	—	2	4	no	—
201	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
202	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
203	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
204	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
205	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic, complemented
206	C₂×C₄×D₁₉	C₂³	1	2	yes	complemented
207	C₂×C₄×D₁₉	C₂³	1	2	yes	complemented
208	C₂×C₄×D₁₉	C₂³	1	2	yes	complemented
209	C₂×Dic₃₈	C₂³	1	1	yes	characteristic, complemented
210	C₂×Dic₃₈	C₂³	1	1	yes	characteristic, complemented
211	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic, complemented
212	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic, complemented
213	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
214	C₂²⋊C₄×C₁₉	C₂³	1	2	yes	complemented
215	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic, complemented
216	C₂²⋊C₄×C₁₉	C₂³	1	2	yes	complemented
217	C₂²⋊C₄×C₁₉	C₂³	1	2	yes	complemented
218	C₄²×C₁₉	C₂³	1	1	yes	characteristic, complemented
219	C₂²⋊Dic₁₉	C₂³	1	2	yes	—
220	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
221	C₂²⋊Dic₁₉	C₂³	1	2	yes	complemented
222	C₂²⋊Dic₁₉	C₂³	1	2	yes	complemented
223	C₂²⋊Dic₁₉	C₂³	1	2	yes	complemented
224	C₂²⋊Dic₁₉	C₂³	1	2	yes	complemented
225	C₂²⋊Dic₁₉	C₂³	1	2	yes	complemented
226	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic, complemented
227	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
228	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
229	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
230	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
231	(C₂×D₁₉)⋊C₄	C₂³	1	2	yes	—
232	(C₂×D₁₉)⋊C₄	C₂³	1	2	yes	—
233	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic, complemented
234	(C₂×D₁₉)⋊C₄	C₂³	1	2	yes	complemented
235	(C₂×D₁₉)⋊C₄	C₂³	1	2	yes	complemented
236	(C₂×D₁₉)⋊C₄	C₂³	1	2	yes	complemented
237	(C₂×D₁₉)⋊C₄	C₂³	1	2	yes	complemented
238	(C₂×D₁₉)⋊C₄	C₂³	1	2	yes	complemented
239	(C₂×D₁₉)⋊C₄	C₂³	1	2	yes	complemented
240	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic, complemented
241	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic, complemented
242	C₄⋊Dic₁₉	C₂³	1	2	yes	complemented
243	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic, complemented
244	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic, complemented
245	Dic₁₉⋊C₄	C₂³	1	2	yes	complemented
246	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic, complemented
247	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic, complemented
248	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic, complemented
249	C₄×Dic₁₉	C₂³	1	1	yes	characteristic, complemented
250	C₄×Dic₁₉	C₂³	1	2	yes	complemented
251	C₂³×C₁₉	—	2	4	no	—
252	C₂³×C₁₉	—	2	4	no	—
253	C₂³×C₁₉	—	2	4	no	—
254	C₂³×C₁₉	—	4	2	no	—
255	C₂³×C₁₉	—	4	2	no	—
256	C₂³×C₁₉	—	4	2	no	—
257	C₂³×C₁₉	C₂⁴	1	2	yes	—
258	C₂³×C₁₉	C₂⁴	1	2	yes	—
259	C₂³×C₁₉	C₂⁴	1	1	yes	characteristic
260	C₂³×C₁₉	C₂⁴	1	2	yes	—
261	C₂³×C₁₉	C₂⁴	1	1	yes	characteristic
262	C₂²×D₁₉	—	2	2	no	—
263	C₂²×D₁₉	—	2	2	no	—
264	C₂²×D₁₉	—	2	2	no	—
265	C₂²×D₁₉	—	2	4	no	—
266	C₂²×D₁₉	—	2	4	no	—
267	C₂²×D₁₉	—	2	4	no	—
268	C₂²×D₁₉	—	2	4	no	—
269	C₂²×D₁₉	—	2	4	no	—
270	C₂²×D₁₉	—	2	4	no	—
271	C₂²×D₁₉	—	2	4	no	—
272	C₂²×D₁₉	—	2	4	no	—
273	C₂²×D₁₉	—	4	2	no	—
274	C₂²×D₁₉	—	4	2	no	—
275	C₂²×D₁₉	—	4	2	no	—
276	C₂²×D₁₉	—	4	2	no	—
277	C₂²×D₁₉	—	4	2	no	—
278	C₂²×D₁₉	—	4	2	no	—
279	C₂²×D₁₉	—	4	2	no	—
280	C₂²×D₁₉	—	4	2	no	—
281	C₂²×D₁₉	—	4	2	no	—
282	C₂²×D₁₉	—	4	32	no	—
283	C₂²×D₁₉	C₂×D₄	1	8	yes	complemented
284	C₂²×D₁₉	C₂⁴	1	2	yes	—
285	C₂²×D₁₉	C₂⁴	1	1	yes	characteristic
286	C₂²×D₁₉	C₂⁴	1	1	yes	characteristic
287	C₂²×D₁₉	C₂⁴	1	2	yes	—
288	C₂²×D₁₉	C₂⁴	1	1	yes	characteristic
289	D₄×C₁₉	—	2	4	no	—
290	D₄×C₁₉	—	2	4	no	—
291	D₄×C₁₉	—	2	4	no	—
292	D₄×C₁₉	—	2	2	no	—
293	D₄×C₁₉	—	2	2	no	—
294	D₄×C₁₉	—	2	2	no	—
295	D₄×C₁₉	—	4	2	no	—
296	D₄×C₁₉	—	4	2	no	—
297	D₄×C₁₉	—	4	2	no	—
298	D₄×C₁₉	C₂×D₄	1	4	yes	complemented
299	C₂×C₄×C₁₉	—	2	2	no	—
300	C₂×C₄×C₁₉	—	2	2	no	—
301	C₂×C₄×C₁₉	—	4	2	no	—
302	C₂×C₄×C₁₉	C₂⁴	1	2	yes	—
303	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
304	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
305	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
306	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
307	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
308	C₂²⋊D₁₉	—	2	4	no	—
309	C₂²⋊D₁₉	—	2	4	no	—
310	C₂²⋊D₁₉	—	2	2	no	—
311	C₂²⋊D₁₉	—	2	2	no	—
312	C₂²⋊D₁₉	—	2	4	no	—
313	C₂²⋊D₁₉	—	2	4	no	—
314	C₂²⋊D₁₉	—	2	4	no	—
315	C₂²⋊D₁₉	—	2	4	no	—
316	C₂²⋊D₁₉	—	2	4	no	—
317	C₂²⋊D₁₉	—	2	2	no	—
318	C₂²⋊D₁₉	—	2	2	no	—
319	C₂²⋊D₁₉	—	2	4	no	—
320	C₂²⋊D₁₉	—	4	2	no	—
321	C₂²⋊D₁₉	—	4	2	no	—
322	C₂²⋊D₁₉	—	4	2	no	—
323	C₂²⋊D₁₉	—	4	2	no	—
324	C₂²⋊D₁₉	C₂×D₄	1	8	yes	complemented
325	C₂×Dic₁₉	—	2	4	no	—
326	C₂×Dic₁₉	—	2	2	no	—
327	C₂×Dic₁₉	—	2	4	no	—
328	C₂×Dic₁₉	—	4	2	no	—
329	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
330	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
331	C₂×Dic₁₉	C₂⁴	1	2	yes	—
332	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
333	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
334	C₂×Dic₁₉	C₂⁴	1	2	yes	—
335	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
336	D₇₆	—	2	4	no	—
337	D₇₆	—	2	2	no	—
338	D₇₆	—	2	2	no	—
339	D₇₆	—	2	2	no	—
340	D₇₆	—	4	2	no	—
341	D₇₆	C₂×D₄	1	4	yes	complemented
342	C₄×D₁₉	—	2	2	no	—
343	C₄×D₁₉	—	2	4	no	—
344	C₄×D₁₉	—	2	2	no	—
345	C₄×D₁₉	—	2	2	no	—
346	C₄×D₁₉	—	2	2	no	—
347	C₄×D₁₉	—	4	2	no	—
348	C₄×D₁₉	—	4	2	no	—
349	C₄×D₁₉	C₂×D₄	1	4	yes	complemented
350	Dic₃₈	—	2	2	no	—
351	Dic₃₈	—	2	2	no	—
352	#3484	—	19	1	no	maximal, Sylow
353	C₂²×C₁₉	—	2	1	no	—
354	C₂²×C₁₉	—	2	2	no	—
355	C₂²×C₁₉	—	2	2	no	—
356	C₂²×C₁₉	—	2	1	no	—
357	C₂²×C₁₉	—	2	2	no	—
358	C₂²×C₁₉	—	2	1	no	—
359	C₂²×C₁₉	—	2	2	no	—
360	C₂²×C₁₉	—	2	1	no	—
361	C₂²×C₁₉	—	2	2	no	—
362	C₂²×C₁₉	—	2	2	no	—
363	C₂²×C₁₉	—	2	2	no	—
364	C₂²×C₁₉	—	2	1	no	—
365	C₂²×C₁₉	—	2	2	no	—
366	C₂²×C₁₉	—	4	8	no	—
367	C₂²×C₁₉	—	8	4	no	—
368	C₂²×C₁₉	C₂²×D₄	1	4	yes	—
369	C₂²×C₁₉	H(5,𝔽₂)	1	2	yes	complemented
370	C₂²×C₁₉	C₂⁵	1	1	yes	characteristic
371	C₂×D₁₉	—	2	8	no	—
372	C₂×D₁₉	—	2	1	no	—
373	C₂×D₁₉	—	2	2	no	—
374	C₂×D₁₉	—	2	2	no	—
375	C₂×D₁₉	—	2	1	no	—
376	C₂×D₁₉	—	2	1	no	—
377	C₂×D₁₉	—	2	1	no	—
378	C₂×D₁₉	—	2	1	no	—
379	C₂×D₁₉	—	2	2	no	—
380	C₂×D₁₉	—	2	1	no	—
381	C₂×D₁₉	—	2	1	no	—
382	C₂×D₁₉	—	2	2	no	—
383	C₂×D₁₉	—	2	2	no	—
384	C₂×D₁₉	—	4	8	no	—
385	C₂×D₁₉	—	4	8	no	—
386	C₂×D₁₉	—	4	8	no	—
387	C₂×D₁₉	—	4	8	no	—
388	C₂×D₁₉	—	4	8	no	—
389	C₂×D₁₉	—	8	4	no	—
390	C₂×D₁₉	C₂²×D₄	1	2	yes	—
391	C₂×D₁₉	C₂²×D₄	1	4	yes	—
392	C₂×D₁₉	H(5,𝔽₂)	1	2	yes	complemented
393	C₄×C₁₉	—	2	1	no	—
394	C₄×C₁₉	—	2	1	no	—
395	C₄×C₁₉	—	2	1	no	—
396	C₄×C₁₉	—	2	2	no	—
397	C₄×C₁₉	—	2	1	no	—
398	C₄×C₁₉	C₂²×D₄	1	2	yes	—
399	Dic₁₉	—	2	2	no	—
400	Dic₁₉	—	2	1	no	—
401	Dic₁₉	—	2	1	no	—
402	Dic₁₉	—	2	1	no	—
403	Dic₁₉	—	2	2	no	—
404	Dic₁₉	—	2	1	no	—
405	Dic₁₉	C₂²×D₄	1	2	yes	—
406	C₂×H(5,𝔽₂)	—	19	1	no	—
407	C₂³×D₄	—	19	1	no	—
408	#546	—	19	1	no	—
409	#546	—	19	2	no	—
410	#546	—	19	1	no	—
411	#546	—	19	2	no	—
412	#546	—	19	1	no	—
413	#546	—	19	1	no	—
414	D₄²	—	19	1	no	—
415	D₄²	—	19	2	no	—
416	D₄²	—	19	1	no	—
417	D₄²	—	19	1	no	—
418	D₄²	—	19	2	no	—
419	D₄²	D₁₉	1	1	yes	characteristic, complemented
420	#535	—	19	1	no	—
421	#535	—	19	1	no	—
422	#534	—	19	2	no	—
423	#534	—	19	2	no	—
424	#525	—	19	1	no	—
425	#525	—	19	1	no	—
426	C₂×#120	—	19	2	no	—
427	C₂×#120	—	19	2	no	—
428	#518	—	19	1	no	—
429	C₂×C₁₉	—	2	2	no	—
430	C₂×C₁₉	—	2	4	no	—
431	C₂×C₁₉	—	4	2	no	—
432	C₂×C₁₉	—	4	2	no	—
433	C₂×C₁₉	—	4	1	no	—
434	C₂×C₁₉	C₂³×D₄	1	1	yes	characteristic
435	C₂×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
436	C₂×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
437	D₁₉	—	2	2	no	—
438	D₁₉	—	2	2	no	—
439	D₁₉	—	2	4	no	—
440	D₁₉	—	4	2	no	—
441	D₁₉	—	4	1	no	—
442	C₂⁵	—	19	2	no	—
443	H(5,𝔽₂)	—	38	8	no	—
444	C₂×#41	—	19	1	no	—
445	C₂×#41	—	19	1	no	—
446	C₂×#41	—	19	2	no	—
447	C₂×#41	—	19	1	no	—
448	C₂×#41	—	19	1	no	—
449	C₂²×D₄	—	19	1	no	—
450	C₂²×D₄	—	19	2	no	—
451	C₂²×D₄	—	19	2	no	—
452	C₂²×D₄	—	19	2	no	—
453	C₂²×D₄	—	19	2	no	—
454	C₂²×D₄	—	19	2	no	—
455	C₂²×D₄	—	19	1	no	—
456	C₂²×D₄	—	19	2	no	—
457	C₂²×D₄	—	19	1	no	—
458	C₂²×D₄	—	19	1	no	—
459	C₂²×D₄	—	19	2	no	—
460	C₂²×D₄	—	19	1	no	—
461	C₂²×D₄	—	19	2	no	—
462	C₂²×D₄	—	19	2	no	—
463	C₂²×D₄	—	19	1	no	—
464	C₂²×D₄	—	38	8	no	—
465	C₂²×D₄	C₂×D₁₉	1	1	yes	characteristic, complemented
466	C₂²×D₄	C₂×D₁₉	1	1	yes	characteristic, complemented
467	C₂²×D₄	C₂×D₁₉	1	2	yes	complemented
468	C₂³×C₄	—	19	1	no	—
469	#127	—	19	2	no	—
470	#127	—	19	1	no	—
471	#127	C₂×D₁₉	1	1	yes	characteristic, complemented
472	#124	—	19	1	no	—
473	#124	—	19	2	no	—
474	#124	—	19	1	no	—
475	#123	—	19	2	no	—
476	#123	—	19	1	no	—
477	#123	—	19	2	no	—
478	#123	—	19	2	no	—
479	#123	—	19	1	no	—
480	#123	—	19	2	no	—
481	#123	—	19	2	no	—
482	C₂²⋊Q₈	—	19	1	no	—
483	C₂²⋊Q₈	—	19	1	no	—
484	C₂²⋊Q₈	—	19	1	no	—
485	C₂²⋊Q₈	—	19	1	no	—
486	#121	—	19	1	no	—
487	#121	—	19	1	no	—
488	#121	—	19	2	no	—
489	#121	—	19	1	no	—
490	#121	—	19	2	no	—
491	#121	—	19	2	no	—
492	#121	—	19	2	no	—
493	#121	—	19	2	no	—
494	#121	—	19	2	no	—
495	#121	—	19	2	no	—
496	#121	—	19	1	no	—
497	#121	—	19	1	no	—
498	#121	—	19	1	no	—
499	#121	—	19	2	no	—
500	#121	—	19	2	no	—
501	#121	C₂×D₁₉	1	1	yes	characteristic, complemented
502	#121	C₂×D₁₉	1	2	yes	complemented
503	#121	C₂×D₁₉	1	1	yes	characteristic, complemented
504	#120	—	19	2	no	—
505	#120	—	19	2	no	—
506	#120	—	19	2	no	—
507	#120	—	19	1	no	—
508	#120	—	19	2	no	—
509	#120	—	19	2	no	—
510	#120	—	19	2	no	—
511	#120	—	19	2	no	—
512	#120	—	19	2	no	—
513	#120	—	19	2	no	—
514	#120	—	19	2	no	—
515	#120	—	19	2	no	—
516	#120	—	19	2	no	—
517	#120	—	19	1	no	—
518	#120	—	19	2	no	—
519	#120	—	19	2	no	—
520	#120	—	19	2	no	—
521	#120	C₂×D₁₉	1	2	yes	complemented
522	#120	C₂×D₁₉	1	2	yes	complemented
523	C₄×D₄	—	19	1	no	—
524	C₄×D₄	—	19	2	no	—
525	C₄×D₄	—	19	1	no	—
526	C₄×D₄	—	19	2	no	—
527	C₄×D₄	—	19	1	no	—
528	C₄×D₄	—	19	1	no	—
529	C₄×D₄	—	19	2	no	—
530	C₄×D₄	—	19	2	no	—
531	C₄×D₄	—	19	1	no	—
532	C₄×D₄	—	19	1	no	—
533	C₄×D₄	C₂×D₁₉	1	1	yes	characteristic, complemented
534	C₄×D₄	C₂×D₁₉	1	1	yes	characteristic, complemented
535	#117	—	19	1	no	—
536	#117	—	19	1	no	—
537	C₂×C₂²⋊C₄	—	19	2	no	—
538	C₂×C₂²⋊C₄	—	19	2	no	—
539	C₂×C₂²⋊C₄	—	19	2	no	—
540	C₂×C₂²⋊C₄	—	19	2	no	—
541	C₂×C₂²⋊C₄	—	19	2	no	—
542	C₂×C₂²⋊C₄	—	19	2	no	—
543	C₁₉	#3484	1	1	yes	characteristic, complemented, Sylow
544	C₂⁴	—	19	2	no	—
545	C₂⁴	—	19	1	no	—
546	C₂⁴	—	19	2	no	—
547	C₂⁴	—	19	2	no	—
548	C₂⁴	—	19	2	no	—
549	C₂⁴	—	19	2	no	—
550	C₂⁴	—	19	2	no	—
551	C₂⁴	—	38	8	no	—
552	C₂⁴	—	76	4	no	—
553	C₂⁴	—	76	4	no	—
554	C₂⁴	C₂²×D₁₉	1	2	yes	—
555	C₂⁴	C₂²×D₁₉	1	2	yes	complemented
556	#41	—	38	4	no	—
557	#41	—	38	4	no	—
558	#41	—	38	4	no	—
559	#41	—	38	8	no	—
560	#41	—	38	4	no	—
561	C₂×Q₈	—	19	1	no	—
562	C₂×Q₈	—	19	1	no	—
563	C₂×D₄	—	2	4	no	—
564	C₂×D₄	—	2	4	no	—
565	C₂×D₄	—	4	4	no	—
566	C₂×D₄	—	19	2	no	—
567	C₂×D₄	—	19	8	no	—
568	C₂×D₄	—	19	2	no	—
569	C₂×D₄	—	19	1	no	—
570	C₂×D₄	—	19	1	no	—
571	C₂×D₄	—	19	2	no	—
572	C₂×D₄	—	19	1	no	—
573	C₂×D₄	—	19	2	no	—
574	C₂×D₄	—	19	2	no	—
575	C₂×D₄	—	19	2	no	—
576	C₂×D₄	—	19	2	no	—
577	C₂×D₄	—	19	2	no	—
578	C₂×D₄	—	19	2	no	—
579	C₂×D₄	—	19	1	no	—
580	C₂×D₄	—	19	2	no	—
581	C₂×D₄	—	19	2	no	—
582	C₂×D₄	—	19	2	no	—
583	C₂×D₄	—	19	2	no	—
584	C₂×D₄	—	19	1	no	—
585	C₂×D₄	—	19	1	no	—
586	C₂×D₄	—	19	1	no	—
587	C₂×D₄	—	19	2	no	—
588	C₂×D₄	—	19	1	no	—
589	C₂×D₄	—	19	2	no	—
590	C₂×D₄	—	38	4	no	—
591	C₂×D₄	—	38	4	no	—
592	C₂×D₄	—	38	8	no	—
593	C₂×D₄	—	38	4	no	—
594	C₂×D₄	—	38	4	no	—
595	C₂×D₄	—	38	8	no	—
596	C₂×D₄	—	38	8	no	—
597	C₂×D₄	—	38	8	no	—
598	C₂×D₄	—	38	8	no	—
599	C₂×D₄	—	38	8	no	—
600	C₂×D₄	—	38	4	no	—
601	C₂×D₄	—	76	4	no	—
602	C₂×D₄	—	76	4	no	—
603	C₂×D₄	—	76	4	no	—
604	C₂×D₄	C₂²×D₁₉	1	2	yes	—
605	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
606	C₂×D₄	C₂²×D₁₉	1	2	yes	—
607	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
608	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
609	C₂×D₄	C₂²×D₁₉	1	2	yes	complemented
610	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic, complemented
611	C₂×D₄	C₂²×D₁₉	1	2	yes	complemented
612	C₂×D₄	C₂²×D₁₉	1	2	yes	complemented
613	C₂×D₄	C₂²×D₁₉	1	2	yes	complemented
614	C₂²×C₄	—	19	1	no	—
615	C₂²×C₄	—	19	1	no	—
616	C₂²×C₄	—	19	2	no	—
617	C₂²×C₄	—	19	2	no	—
618	C₂²×C₄	—	19	2	no	—
619	C₂²×C₄	—	19	1	no	—
620	C₂²×C₄	—	19	1	no	—
621	C₂²×C₄	—	19	1	no	—
622	C₂²×C₄	—	19	2	no	—
623	C₂²×C₄	—	19	1	no	—
624	C₂²×C₄	—	19	2	no	—
625	C₂²×C₄	—	19	2	no	—
626	C₂²×C₄	—	38	4	no	—
627	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
628	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic, complemented
629	C₂²×C₄	C₂²×D₁₉	1	2	yes	complemented
630	C₄⋊C₄	—	19	1	no	—
631	C₄⋊C₄	—	19	1	no	—
632	C₄⋊C₄	—	19	1	no	—
633	C₄⋊C₄	—	19	2	no	—
634	C₄⋊C₄	—	19	1	no	—
635	C₄⋊C₄	—	19	1	no	—
636	C₄⋊C₄	—	19	2	no	—
637	C₄⋊C₄	—	19	1	no	—
638	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic, complemented
639	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic, complemented
640	C₂²⋊C₄	—	19	2	no	—
641	C₂²⋊C₄	—	19	1	no	—
642	C₂²⋊C₄	—	19	2	no	—
643	C₂²⋊C₄	—	19	2	no	—
644	C₂²⋊C₄	—	19	2	no	—
645	C₂²⋊C₄	—	19	2	no	—
646	C₂²⋊C₄	—	19	2	no	—
647	C₂²⋊C₄	—	19	1	no	—
648	C₂²⋊C₄	—	19	2	no	—
649	C₂²⋊C₄	—	19	1	no	—
650	C₂²⋊C₄	—	19	1	no	—
651	C₂²⋊C₄	—	19	1	no	—
652	C₂²⋊C₄	—	19	2	no	—
653	C₂²⋊C₄	—	19	1	no	—
654	C₂²⋊C₄	—	19	2	no	—
655	C₂²⋊C₄	—	19	2	no	—
656	C₂²⋊C₄	—	19	2	no	—
657	C₂²⋊C₄	—	19	2	no	—
658	C₂²⋊C₄	—	19	2	no	—
659	C₂²⋊C₄	—	19	2	no	—
660	C₂²⋊C₄	—	19	1	no	—
661	C₂²⋊C₄	—	19	1	no	—
662	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
663	C₂²⋊C₄	C₂²×D₁₉	1	2	yes	complemented
664	C₂²⋊C₄	C₂²×D₁₉	1	2	yes	complemented
665	C₂²⋊C₄	C₂²×D₁₉	1	2	yes	complemented
666	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic, complemented
667	C₄²	—	19	2	no	—
668	C₄²	—	19	1	no	—
669	C₄²	C₂²×D₁₉	1	1	yes	characteristic, complemented
670	C₂³	—	2	4	no	—
671	C₂³	—	2	4	no	—
672	C₂³	—	2	4	no	—
673	C₂³	—	4	2	no	—
674	C₂³	—	4	2	no	—
675	C₂³	—	4	2	no	—
676	C₂³	—	19	1	no	—
677	C₂³	—	19	1	no	—
678	C₂³	—	19	2	no	—
679	C₂³	—	19	8	no	—
680	C₂³	—	19	2	no	—
681	C₂³	—	19	1	no	—
682	C₂³	—	38	2	no	—
683	C₂³	—	38	2	no	—
684	C₂³	—	38	4	no	—
685	C₂³	—	38	4	no	—
686	C₂³	—	38	4	no	—
687	C₂³	—	38	4	no	—
688	C₂³	—	38	4	no	—
689	C₂³	—	38	4	no	—
690	C₂³	—	38	2	no	—
691	C₂³	—	38	4	no	—
692	C₂³	—	38	4	no	—
693	C₂³	—	76	2	no	—
694	C₂³	—	76	2	no	—
695	C₂³	—	76	2	no	—
696	C₂³	—	76	2	no	—
697	C₂³	—	76	2	no	—
698	C₂³	—	76	2	no	—
699	C₂³	—	76	2	no	—
700	C₂³	—	76	2	no	—
701	C₂³	—	76	2	no	—
702	C₂³	—	76	32	no	—
703	C₂³	C₂³×D₁₉	1	2	yes	—
704	C₂³	C₂³×D₁₉	1	2	yes	—
705	C₂³	C₂³×D₁₉	1	1	yes	characteristic
706	C₂³	C₂³×D₁₉	1	2	yes	—
707	C₂³	C₂³×D₁₉	1	1	yes	characteristic
708	Q₈	—	38	2	no	—
709	Q₈	—	38	2	no	—
710	D₄	—	2	4	no	—
711	D₄	—	2	4	no	—
712	D₄	—	2	2	no	—
713	D₄	—	2	4	no	—
714	D₄	—	2	2	no	—
715	D₄	—	2	2	no	—
716	D₄	—	4	2	no	—
717	D₄	—	4	2	no	—
718	D₄	—	4	2	no	—
719	D₄	—	19	8	no	—
720	D₄	—	19	4	no	—
721	D₄	—	38	4	no	—
722	D₄	—	38	2	no	—
723	D₄	—	38	2	no	—
724	D₄	—	38	4	no	—
725	D₄	—	38	2	no	—
726	D₄	—	38	4	no	—
727	D₄	—	38	2	no	—
728	D₄	—	38	4	no	—
729	D₄	—	38	4	no	—
730	D₄	—	38	4	no	—
731	D₄	—	38	4	no	—
732	D₄	—	38	2	no	—
733	D₄	—	38	4	no	—
734	D₄	—	38	4	no	—
735	D₄	—	38	2	no	—
736	D₄	—	38	2	no	—
737	D₄	—	76	2	no	—
738	D₄	—	76	2	no	—
739	D₄	—	76	2	no	—
740	D₄	—	76	2	no	—
741	D₄	—	76	2	no	—
742	D₄	D₄×D₁₉	1	4	yes	complemented
743	C₂×C₄	—	2	2	no	—
744	C₂×C₄	—	2	2	no	—
745	C₂×C₄	—	4	2	no	—
746	C₂×C₄	—	19	1	no	—
747	C₂×C₄	—	19	4	no	—
748	C₂×C₄	—	19	2	no	—
749	C₂×C₄	—	19	1	no	—
750	C₂×C₄	—	19	1	no	—
751	C₂×C₄	—	19	1	no	—
752	C₂×C₄	—	19	2	no	—
753	C₂×C₄	—	19	1	no	—
754	C₂×C₄	—	38	2	no	—
755	C₂×C₄	—	38	2	no	—
756	C₂×C₄	—	38	4	no	—
757	C₂×C₄	—	38	2	no	—
758	C₂×C₄	—	38	4	no	—
759	C₂×C₄	—	38	4	no	—
760	C₂×C₄	—	38	2	no	—
761	C₂×C₄	—	38	2	no	—
762	C₂×C₄	—	76	2	no	—
763	C₂×C₄	—	76	2	no	—
764	C₂×C₄	—	76	2	no	—
765	C₂×C₄	C₂³×D₁₉	1	2	yes	—
766	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
767	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
768	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
769	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
770	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
771	C₂²	—	2	1	no	—
772	C₂²	—	2	2	no	—
773	C₂²	—	2	1	no	—
774	C₂²	—	2	2	no	—
775	C₂²	—	2	1	no	—
776	C₂²	—	2	2	no	—
777	C₂²	—	2	2	no	—
778	C₂²	—	2	2	no	—
779	C₂²	—	2	2	no	—
780	C₂²	—	2	1	no	—
781	C₂²	—	2	1	no	—
782	C₂²	—	2	2	no	—
783	C₂²	—	2	2	no	—
784	C₂²	—	4	8	no	—
785	C₂²	—	8	4	no	—
786	C₂²	—	19	2	no	—
787	C₂²	—	19	4	no	—
788	C₂²	—	19	2	no	—
789	C₂²	—	38	8	no	—
790	C₂²	—	38	1	no	—
791	C₂²	—	38	2	no	—
792	C₂²	—	38	1	no	—
793	C₂²	—	38	2	no	—
794	C₂²	—	38	1	no	—
795	C₂²	—	38	1	no	—
796	C₂²	—	38	1	no	—
797	C₂²	—	38	2	no	—
798	C₂²	—	38	1	no	—
799	C₂²	—	38	2	no	—
800	C₂²	—	38	1	no	—
801	C₂²	—	38	2	no	—
802	C₂²	—	76	8	no	—
803	C₂²	—	76	8	no	—
804	C₂²	—	76	8	no	—
805	C₂²	—	76	8	no	—
806	C₂²	—	76	8	no	—
807	C₂²	—	152	4	no	—
808	C₂²	C₂×D₄×D₁₉	1	4	yes	—
809	C₂²	#10597430	1	2	yes	complemented
810	C₂²	C₂⁴×D₁₉	1	1	yes	characteristic
811	C₄	—	2	1	no	—
812	C₄	—	2	1	no	—
813	C₄	—	2	1	no	—
814	C₄	—	2	1	no	—
815	C₄	—	2	2	no	—
816	C₄	—	19	2	no	—
817	C₄	—	38	1	no	—
818	C₄	—	38	2	no	—
819	C₄	—	38	1	no	—
820	C₄	—	38	2	no	—
821	C₄	—	38	1	no	—
822	C₄	—	38	1	no	—
823	C₄	C₂×D₄×D₁₉	1	2	yes	—
824	C₂	—	2	2	no	—
825	C₂	—	2	4	no	—
826	C₂	—	4	2	no	—
827	C₂	—	4	1	no	—
828	C₂	—	4	2	no	—
829	C₂	—	38	2	no	—
830	C₂	—	38	2	no	—
831	C₂	—	38	4	no	—
832	C₂	—	76	2	no	—
833	C₂	—	76	1	no	—
834	C₂	C₂²×D₄×D₁₉	1	1	yes	characteristic
835	C₂	H(5,𝔽₂)×D₁₉	1	1	yes	characteristic
836	C₂	C₂×#10597430	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	#3484
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×D₄×D₁₉	C₂	semidirect
3. #11927191	C₂	semidirect
4. #11927190	C₂	semidirect
5. #11927189	C₂	semidirect
6. #11927188	C₂	semidirect
7. #11927183	C₂	semidirect
8. #11927181	C₂	semidirect
9. #11927179	C₂	semidirect
10. #11927178	C₂	semidirect
11. D₄×C₂²⋊D₁₉	C₂	semidirect
12. D₄×C₂²⋊D₁₉	C₂	semidirect
13. #11927176	C₂	semidirect
14. #11927110	C₂	semidirect
15. #11927107	C₂	semidirect
16. #11927104	C₂	semidirect
17. #11927102	C₂	semidirect
18. #11927054	C₂	semidirect
19. #11927053	C₂	semidirect
20. C₂×#10597383	C₂	semidirect
21. #120×D₁₉	C₂	semidirect
22. #11927016	C₂	semidirect
23. D₄²×C₁₉	C₂	semidirect
24. C₂⁴×D₁₉	C₂²	semidirect
25. C₂²×D₄×C₁₉	C₂²	semidirect
26. C₂²×D₄×C₁₉	C₂²	semidirect
27. C₂²×D₄×C₁₉	C₂²	semidirect
28. C₂²×C₂²⋊D₁₉	C₂²	semidirect
29. C₂²×C₂²⋊D₁₉	C₂²	semidirect
30. C₂²×C₂²⋊D₁₉	C₂²	semidirect
31. C₂²×C₂²⋊D₁₉	C₂²	semidirect
33. C₂×#64543	C₂²	semidirect
34. C₂×#64543	C₂²	semidirect
35. C₂×#64543	C₂²	semidirect
38. C₂×D₄×D₁₉	C₂²	semidirect
39. C₂×D₄×D₁₉	C₂²	semidirect
40. C₂×D₄×D₁₉	C₂²	semidirect
41. C₂×D₄×D₁₉	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×D₄×D₁₉	C₂²	semidirect
47. C₂×#64541	C₂²	semidirect
48. C₂×#64541	C₂²	semidirect
49. C₂²×D₇₆	C₂²	semidirect
50. C₂²×C₄×D₁₉	C₂²	semidirect
51. C₁₉×#127	C₂²	semidirect
52. C₁₉×#121	C₂²	semidirect
53. C₁₉×#121	C₂²	semidirect
54. C₁₉×#121	C₂²	semidirect
55. C₁₉×#120	C₂²	semidirect
56. C₁₉×#120	C₂²	semidirect
57. C₄×D₄×C₁₉	C₂²	semidirect
58. C₄×D₄×C₁₉	C₂²	semidirect
59. #10597399	C₂²	semidirect
60. #10597399	C₂²	semidirect
61. C₂×C₂²⋊Dic₁₉	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. #10597384	C₂²	semidirect
70. #10597384	C₂²	semidirect
71. #10597384	C₂²	semidirect
72. #10597384	C₂²	semidirect
73. #10597383	C₂²	semidirect
74. #10597383	C₂²	semidirect
75. #10597383	C₂²	semidirect
76. #10597383	C₂²	semidirect
77. #10597383	C₂²	semidirect
78. #10597383	C₂²	semidirect
79. #10597383	C₂²	semidirect
80. #10597383	C₂²	semidirect
81. #10597383	C₂²	semidirect
82. #10597383	C₂²	semidirect
83. #10597383	C₂²	semidirect
84. #10597382	C₂²	semidirect
85. #10597381	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. C₂×(C₂×D₁₉)⋊C₄	C₂²	semidirect
95. #10597370	C₂²	semidirect
96. #10597343	C₂²	semidirect
97. #10597342	C₂²	semidirect
98. #10597341	C₂²	semidirect
99. #10597340	C₂²	semidirect
100. #10597340	C₂²	semidirect
101. #10597339	C₂²	semidirect
102. #10597338	C₂²	semidirect
103. #10597332	C₂²	semidirect
104. #10597331	C₂²	semidirect
105. #10597330	C₂²	semidirect
106. #10597330	C₂²	semidirect
107. #10597330	C₂²	semidirect
108. #10597329	C₂²	semidirect
109. #10597329	C₂²	semidirect
110. #10597329	C₂²	semidirect
111. #10597328	C₂²	semidirect
112. #10597328	C₂²	semidirect
113. #10597328	C₂²	semidirect
114. #10597328	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. C₂²⋊C₄×D₁₉	C₂²	semidirect
120. #10597324	C₂²	semidirect
121. #10597321	C₂²	semidirect
122. C₄×D₇₆	C₂²	semidirect
123. C₄×D₇₆	C₂²	semidirect
124. #10597318	C₂²	semidirect
126. C₂⁴×C₁₉	C₂³	semidirect
136. C₂³×D₁₉	C₂³	semidirect
145. C₂×D₄×C₁₉	C₂³	semidirect
146. C₂×D₄×C₁₉	C₂³	semidirect
147. C₂×D₄×C₁₉	C₂³	semidirect
148. C₂×D₄×C₁₉	C₂³	semidirect
149. C₂×D₄×C₁₉	C₂³	semidirect
151. C₂²×C₄×C₁₉	C₂³	semidirect
152. C₂²×C₄×C₁₉	C₂³	semidirect
166. C₂×C₂²⋊D₁₉	C₂³	semidirect
167. C₂×C₂²⋊D₁₉	C₂³	semidirect
168. C₂×C₂²⋊D₁₉	C₂³	semidirect
169. C₂×C₂²⋊D₁₉	C₂³	semidirect
170. C₂×C₂²⋊D₁₉	C₂³	semidirect
171. C₂×C₂²⋊D₁₉	C₂³	semidirect
172. C₂×C₂²⋊D₁₉	C₂³	semidirect
173. C₂×C₂²⋊D₁₉	C₂³	semidirect
175. C₂²×Dic₁₉	C₂³	semidirect
176. C₂²×Dic₁₉	C₂³	semidirect
177. C₂²×Dic₁₉	C₂³	semidirect
190. D₄×D₁₉	D₄	semidirect
199. C₂×D₇₆	C₂³	semidirect
205. C₂×C₄×D₁₉	C₂³	semidirect
206. C₂×C₄×D₁₉	C₂³	semidirect
207. C₂×C₄×D₁₉	C₂³	semidirect
208. C₂×C₄×D₁₉	C₂³	semidirect
209. C₂×Dic₃₈	C₂³	semidirect
210. C₂×Dic₃₈	C₂³	semidirect
211. C₄⋊C₄×C₁₉	C₂³	semidirect
212. C₄⋊C₄×C₁₉	C₂³	semidirect
214. C₂²⋊C₄×C₁₉	C₂³	semidirect
215. C₂²⋊C₄×C₁₉	C₂³	semidirect
216. C₂²⋊C₄×C₁₉	C₂³	semidirect
217. C₂²⋊C₄×C₁₉	C₂³	semidirect
218. C₄²×C₁₉	C₂³	semidirect
221. C₂²⋊Dic₁₉	C₂³	semidirect
222. C₂²⋊Dic₁₉	C₂³	semidirect
223. C₂²⋊Dic₁₉	C₂³	semidirect
224. C₂²⋊Dic₁₉	C₂³	semidirect
225. C₂²⋊Dic₁₉	C₂³	semidirect
226. C₂²⋊Dic₁₉	C₂³	semidirect
233. (C₂×D₁₉)⋊C₄	C₂³	semidirect
234. (C₂×D₁₉)⋊C₄	C₂³	semidirect
235. (C₂×D₁₉)⋊C₄	C₂³	semidirect
236. (C₂×D₁₉)⋊C₄	C₂³	semidirect
237. (C₂×D₁₉)⋊C₄	C₂³	semidirect
238. (C₂×D₁₉)⋊C₄	C₂³	semidirect
239. (C₂×D₁₉)⋊C₄	C₂³	semidirect
240. (C₂×D₁₉)⋊C₄	C₂³	semidirect
241. C₄⋊Dic₁₉	C₂³	semidirect
242. C₄⋊Dic₁₉	C₂³	semidirect
243. C₄⋊Dic₁₉	C₂³	semidirect
244. Dic₁₉⋊C₄	C₂³	semidirect
245. Dic₁₉⋊C₄	C₂³	semidirect
246. Dic₁₉⋊C₄	C₂³	semidirect
247. Dic₁₉⋊C₄	C₂³	semidirect
248. Dic₁₉⋊C₄	C₂³	semidirect
249. C₄×Dic₁₉	C₂³	semidirect
250. C₄×Dic₁₉	C₂³	semidirect
283. C₂²×D₁₉	C₂×D₄	semidirect
298. D₄×C₁₉	C₂×D₄	semidirect
324. C₂²⋊D₁₉	C₂×D₄	semidirect
341. D₇₆	C₂×D₄	semidirect
349. C₄×D₁₉	C₂×D₄	semidirect
369. C₂²×C₁₉	H(5,𝔽₂)	semidirect
392. C₂×D₁₉	H(5,𝔽₂)	semidirect
419. D₄²	D₁₉	semidirect
465. C₂²×D₄	C₂×D₁₉	semidirect
466. C₂²×D₄	C₂×D₁₉	semidirect
467. C₂²×D₄	C₂×D₁₉	semidirect
471. #127	C₂×D₁₉	semidirect
501. #121	C₂×D₁₉	semidirect
502. #121	C₂×D₁₉	semidirect
503. #121	C₂×D₁₉	semidirect
521. #120	C₂×D₁₉	semidirect
522. #120	C₂×D₁₉	semidirect
533. C₄×D₄	C₂×D₁₉	semidirect
534. C₄×D₄	C₂×D₁₉	semidirect
543. C₁₉	#3484	semidirect
555. C₂⁴	C₂²×D₁₉	semidirect
609. C₂×D₄	C₂²×D₁₉	semidirect
610. C₂×D₄	C₂²×D₁₉	semidirect
611. C₂×D₄	C₂²×D₁₉	semidirect
612. C₂×D₄	C₂²×D₁₉	semidirect
613. C₂×D₄	C₂²×D₁₉	semidirect
628. C₂²×C₄	C₂²×D₁₉	semidirect
629. C₂²×C₄	C₂²×D₁₉	semidirect
638. C₄⋊C₄	C₂²×D₁₉	semidirect
639. C₄⋊C₄	C₂²×D₁₉	semidirect
663. C₂²⋊C₄	C₂²×D₁₉	semidirect
664. C₂²⋊C₄	C₂²×D₁₉	semidirect
665. C₂²⋊C₄	C₂²×D₁₉	semidirect
666. C₂²⋊C₄	C₂²×D₁₉	semidirect
669. C₄²	C₂²×D₁₉	semidirect
742. D₄	D₄×D₁₉	semidirect
809. 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×D₄×D₁₉	2
#11927191	2
#11927190	2
#11927189	2
#11927188	2
#11927183	2
#11927181	2
#11927179	2
#11927178	2
D₄×C₂²⋊D₁₉	2
#11927176	2
#11927110	2
#11927107	2
#11927104	2
#11927102	2
#11927054	2
#11927053	2
C₂×#10597383	2
#120×D₁₉	2
#11927016	2
D₄²×C₁₉	2
#3484	19