Subgroups — #14577960

Order 2432.

1260 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11927283	C₂	1	2	yes	maximal, complemented
2	#11927282	C₂	1	2	yes	maximal, complemented
3	#11927277	C₂	1	1	yes	maximal, characteristic, complemented
4	#11927214	C₂	1	1	yes	maximal, characteristic, complemented
5	#11927212	C₂	1	1	yes	maximal, characteristic, complemented
6	#11927190	C₂	1	1	yes	maximal, characteristic, complemented
7	#11927188	C₂	1	1	yes	maximal, characteristic, complemented
8	#11927181	C₂	1	2	yes	maximal, complemented
9	#11927178	C₂	1	1	yes	maximal, characteristic, complemented
10	D₄×C₂²⋊D₁₉	C₂	1	2	yes	maximal, complemented
11	D₄×C₂²⋊D₁₉	C₂	1	1	yes	maximal, characteristic, complemented
12	#11927147	C₂	1	1	yes	maximal, characteristic, complemented
13	#11927145	C₂	1	1	yes	maximal, characteristic, complemented
14	#11927144	C₂	1	2	yes	maximal, complemented
15	#11927111	C₂	1	1	yes	maximal, characteristic, complemented
16	#11927109	C₂	1	2	yes	maximal, complemented
17	#11927107	C₂	1	1	yes	maximal, characteristic, complemented
18	#11927104	C₂	1	2	yes	maximal, complemented
19	#11927103	C₂	1	2	yes	maximal, complemented
20	C₂×#10597386	C₂	1	1	yes	maximal, characteristic, complemented
21	#11927075	C₂	1	1	yes	maximal, characteristic, complemented
22	#11927074	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	2	yes	complemented
26	C₂²×D₄×C₁₉	C₂²	1	1	yes	characteristic, 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	C₂×#64543	C₂²	1	1	yes	characteristic, complemented
31	C₂×#64543	C₂²	1	2	yes	complemented
32	C₂×D₄×D₁₉	C₂²	1	2	yes	complemented
33	C₂×D₄×D₁₉	C₂²	1	1	yes	characteristic, complemented
34	C₂×#64541	C₂²	1	1	yes	characteristic, complemented
35	C₂²×D₇₆	C₂²	1	1	yes	characteristic, complemented
36	C₁₉×#127	C₂²	1	1	yes	characteristic, complemented
37	C₁₉×#121	C₂²	1	1	yes	characteristic
38	C₁₉×#121	C₂²	1	2	yes	complemented
39	C₁₉×#121	C₂²	1	1	yes	characteristic, complemented
40	C₁₉×#120	C₂²	1	2	yes	complemented
41	C₁₉×#120	C₂²	1	2	yes	complemented
42	C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
43	C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
44	#10597399	C₂²	1	2	yes	complemented
45	#10597399	C₂²	1	2	yes	complemented
46	#10597399	C₂²	1	2	yes	complemented
47	#10597399	C₂²	1	2	yes	complemented
48	C₂×C₂²⋊Dic₁₉	C₂²	1	2	yes	complemented
49	#10597386	C₂²	1	1	yes	characteristic
50	#10597386	C₂²	1	1	yes	characteristic, complemented
51	#10597386	C₂²	1	2	yes	complemented
52	#10597386	C₂²	1	1	yes	characteristic, complemented
53	#10597386	C₂²	1	1	yes	characteristic, complemented
54	#10597386	C₂²	1	2	yes	complemented
55	#10597386	C₂²	1	2	yes	complemented
56	#10597386	C₂²	1	1	yes	characteristic, complemented
57	#10597385	C₂²	1	1	yes	characteristic
58	#10597385	C₂²	1	2	yes	complemented
59	#10597385	C₂²	1	2	yes	complemented
60	#10597385	C₂²	1	2	yes	complemented
61	#10597385	C₂²	1	2	yes	complemented
62	#10597385	C₂²	1	2	yes	complemented
63	#10597385	C₂²	1	2	yes	complemented
64	#10597385	C₂²	1	2	yes	complemented
65	#10597385	C₂²	1	2	yes	complemented
66	#10597384	C₂²	1	2	yes	complemented
67	#10597384	C₂²	1	2	yes	complemented
68	#10597384	C₂²	1	2	yes	complemented
69	#10597384	C₂²	1	1	yes	characteristic, complemented
70	#10597384	C₂²	1	2	yes	complemented
71	#10597383	C₂²	1	2	yes	complemented
72	#10597383	C₂²	1	2	yes	complemented
73	#10597383	C₂²	1	2	yes	complemented
74	#10597383	C₂²	1	2	yes	complemented
75	#10597383	C₂²	1	2	yes	complemented
76	#10597382	C₂²	1	1	yes	characteristic, complemented
77	#10597382	C₂²	1	1	yes	characteristic, complemented
78	#10597381	C₂²	1	1	yes	characteristic, complemented
79	#10597381	C₂²	1	2	yes	complemented
80	#10597381	C₂²	1	2	yes	complemented
81	D₄×Dic₁₉	C₂²	1	2	yes	complemented
82	D₄×Dic₁₉	C₂²	1	1	yes	characteristic, complemented
83	D₄×Dic₁₉	C₂²	1	1	yes	characteristic, complemented
84	#10597376	C₂²	1	2	yes	complemented
85	#10597376	C₂²	1	1	yes	characteristic, complemented
86	#10597375	C₂²	1	2	yes	complemented
87	#10597375	C₂²	1	2	yes	complemented
88	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic, complemented
89	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic, complemented
90	C₄×C₂²⋊D₁₉	C₂²	1	2	yes	complemented
91	#10597372	C₂²	1	1	yes	characteristic, complemented
92	#10597370	C₂²	1	1	yes	characteristic, complemented
93	C₂×C₄×Dic₁₉	C₂²	1	1	yes	characteristic, complemented
94	#10597344	C₂²	1	1	yes	characteristic, complemented
95	#10597341	C₂²	1	1	yes	characteristic, complemented
96	#10597340	C₂²	1	2	yes	complemented
97	#10597339	C₂²	1	1	yes	characteristic, complemented
98	#10597336	C₂²	1	1	yes	characteristic, complemented
99	#10597335	C₂²	1	1	yes	characteristic, complemented
100	#10597333	C₂²	1	1	yes	characteristic, complemented
101	#10597332	C₂²	1	1	yes	characteristic, complemented
102	#10597332	C₂²	1	2	yes	complemented
103	#10597331	C₂²	1	1	yes	characteristic, complemented
104	#10597331	C₂²	1	2	yes	complemented
105	#10597330	C₂²	1	2	yes	complemented
106	#10597330	C₂²	1	2	yes	complemented
107	#10597330	C₂²	1	2	yes	complemented
108	#10597330	C₂²	1	2	yes	complemented
109	#10597329	C₂²	1	2	yes	complemented
110	#10597329	C₂²	1	2	yes	complemented
111	#10597329	C₂²	1	2	yes	complemented
112	#10597328	C₂²	1	2	yes	complemented
113	(C₂²⋊D₁₉)⋊C₄	C₂²	1	2	yes	complemented
114	C₂²⋊C₄×D₁₉	C₂²	1	2	yes	complemented
115	#10597325	C₂²	1	1	yes	characteristic, complemented
116	#10597325	C₂²	1	2	yes	complemented
117	#10597324	C₂²	1	1	yes	characteristic, complemented
118	#10597323	C₂²	1	2	yes	complemented
119	#10597321	C₂²	1	1	yes	characteristic, complemented
120	C₄×D₇₆	C₂²	1	1	yes	characteristic, complemented
121	#10597318	C₂²	1	1	yes	characteristic, complemented
122	C₄×Dic₃₈	C₂²	1	1	yes	characteristic, complemented
123	C₂⁴×C₁₉	C₂³	1	2	yes	—
124	C₂⁴×C₁₉	C₂³	1	2	yes	—
125	C₂³×D₁₉	C₂³	1	2	yes	—
126	C₂³×D₁₉	C₂³	1	2	yes	—
127	C₂×D₄×C₁₉	—	4	2	no	—
128	C₂×D₄×C₁₉	—	4	2	no	—
129	C₂×D₄×C₁₉	—	4	4	no	—
130	C₂×D₄×C₁₉	C₂³	1	2	yes	—
131	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
132	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
133	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
134	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
135	C₂×D₄×C₁₉	C₂³	1	2	yes	—
136	C₂×D₄×C₁₉	C₂³	1	2	yes	—
137	C₂×D₄×C₁₉	C₂³	1	2	yes	—
138	C₂×D₄×C₁₉	C₂³	1	2	yes	—
139	C₂×D₄×C₁₉	C₂³	1	2	yes	—
140	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
141	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
142	C₂²×C₄×C₁₉	C₂³	1	2	yes	—
143	C₂×C₂²⋊D₁₉	—	4	4	no	—
144	C₂×C₂²⋊D₁₉	—	4	4	no	—
145	C₂×C₂²⋊D₁₉	—	4	4	no	—
146	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
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	2	yes	—
152	C₂×C₂²⋊D₁₉	C₂³	1	2	yes	—
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	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	C₂²×Dic₁₉	C₂³	1	1	yes	characteristic
164	C₂²×Dic₁₉	C₂³	1	2	yes	—
165	C₂²×Dic₁₉	C₂³	1	1	yes	characteristic
166	C₂²×Dic₁₉	C₂³	1	2	yes	—
167	C₂²×Dic₁₉	C₂³	1	2	yes	—
168	#64543	—	4	2	no	—
169	#64543	—	4	4	no	—
170	D₄×D₁₉	—	4	2	no	—
171	D₄×D₁₉	—	4	4	no	—
172	#64541	—	4	2	no	—
173	C₂×D₇₆	—	4	2	no	—
174	C₂×D₇₆	C₂³	1	1	yes	characteristic
175	C₂×D₇₆	C₂³	1	1	yes	characteristic
176	C₂×D₇₆	C₂³	1	2	yes	—
177	C₂×D₇₆	C₂³	1	2	yes	—
178	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
179	C₂×C₄×D₁₉	C₂³	1	2	yes	—
180	C₂×C₄×D₁₉	C₂³	1	2	yes	—
181	C₂×C₄×D₁₉	C₂³	1	2	yes	—
182	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
183	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
184	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
185	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
186	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
187	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
188	C₂²⋊C₄×C₁₉	C₂³	1	2	yes	—
189	C₂²⋊C₄×C₁₉	C₂³	1	2	yes	—
190	C₂²⋊C₄×C₁₉	C₂³	1	2	yes	—
191	C₄²×C₁₉	C₂³	1	1	yes	characteristic
192	C₂²⋊Dic₁₉	C₂³	1	2	yes	—
193	C₂²⋊Dic₁₉	C₂³	1	2	yes	—
194	C₂²⋊Dic₁₉	C₂³	1	2	yes	—
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	2	yes	—
200	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
201	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
202	C₂²⋊Dic₁₉	C₂³	1	2	yes	—
203	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
204	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
205	(C₂×D₁₉)⋊C₄	C₂³	1	2	yes	—
206	(C₂×D₁₉)⋊C₄	C₂³	1	2	yes	—
207	(C₂×D₁₉)⋊C₄	C₂³	1	2	yes	—
208	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
209	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
210	(C₂×D₁₉)⋊C₄	C₂³	1	2	yes	—
211	(C₂×D₁₉)⋊C₄	C₂³	1	2	yes	—
212	(C₂×D₁₉)⋊C₄	C₂³	1	2	yes	—
213	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
214	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
215	C₄⋊Dic₁₉	C₂³	1	2	yes	—
216	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
217	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
218	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
219	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
220	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
221	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
222	Dic₁₉⋊C₄	C₂³	1	2	yes	—
223	Dic₁₉⋊C₄	C₂³	1	2	yes	—
224	Dic₁₉⋊C₄	C₂³	1	2	yes	—
225	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
226	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
227	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
228	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
229	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
230	C₄×Dic₁₉	C₂³	1	2	yes	—
231	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
232	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
233	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
234	C₂³×C₁₉	—	2	4	no	—
235	C₂³×C₁₉	—	4	2	no	—
236	C₂³×C₁₉	—	4	2	no	—
237	C₂³×C₁₉	—	4	2	no	—
238	C₂³×C₁₉	—	4	2	no	—
239	C₂³×C₁₉	—	4	2	no	—
240	C₂³×C₁₉	C₂⁴	1	2	yes	—
241	C₂³×C₁₉	C₂⁴	1	1	yes	characteristic
242	C₂³×C₁₉	C₂⁴	1	2	yes	—
243	C₂³×C₁₉	C₂⁴	1	2	yes	—
244	C₂³×C₁₉	C₂⁴	1	1	yes	characteristic
245	C₂²×D₁₉	—	2	4	no	—
246	C₂²×D₁₉	—	4	2	no	—
247	C₂²×D₁₉	—	4	2	no	—
248	C₂²×D₁₉	—	4	2	no	—
249	C₂²×D₁₉	—	4	2	no	—
250	C₂²×D₁₉	—	4	2	no	—
251	C₂²×D₁₉	C₂⁴	1	1	yes	characteristic
252	C₂²×D₁₉	C₂⁴	1	2	yes	—
253	C₂²×D₁₉	C₂⁴	1	2	yes	—
254	D₄×C₁₉	—	2	4	no	—
255	D₄×C₁₉	—	2	2	no	—
256	D₄×C₁₉	—	2	2	no	—
257	D₄×C₁₉	—	2	2	no	—
258	D₄×C₁₉	—	2	2	no	—
259	D₄×C₁₉	—	4	2	no	—
260	D₄×C₁₉	—	4	2	no	—
261	D₄×C₁₉	—	4	2	no	—
262	D₄×C₁₉	—	4	2	no	—
263	D₄×C₁₉	—	4	2	no	—
264	C₂×C₄×C₁₉	—	2	2	no	—
265	C₂×C₄×C₁₉	—	2	2	no	—
266	C₂×C₄×C₁₉	—	4	2	no	—
267	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
268	C₂×C₄×C₁₉	C₂⁴	1	2	yes	—
269	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
270	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
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	2	no	—
276	C₂²⋊D₁₉	—	2	4	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	2	no	—
283	C₂²⋊D₁₉	—	4	2	no	—
284	C₂²⋊D₁₉	—	4	2	no	—
285	C₂²⋊D₁₉	—	4	2	no	—
286	C₂²⋊D₁₉	—	4	2	no	—
287	C₂²⋊D₁₉	—	4	2	no	—
288	C₂²⋊D₁₉	—	4	2	no	—
289	C₂²⋊D₁₉	—	4	2	no	—
290	C₂×Dic₁₉	—	2	2	no	—
291	C₂×Dic₁₉	—	2	4	no	—
292	C₂×Dic₁₉	—	2	2	no	—
293	C₂×Dic₁₉	—	4	2	no	—
294	C₂×Dic₁₉	—	4	2	no	—
295	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
296	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
297	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
298	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
299	C₂×Dic₁₉	C₂⁴	1	2	yes	—
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	1	yes	characteristic
304	D₇₆	—	2	2	no	—
305	D₇₆	—	2	2	no	—
306	D₇₆	—	4	2	no	—
307	D₇₆	—	4	2	no	—
308	C₄×D₁₉	—	2	2	no	—
309	C₄×D₁₉	—	4	2	no	—
310	C₄×D₁₉	—	4	2	no	—
311	C₄×D₁₉	—	4	2	no	—
312	Dic₃₈	—	2	2	no	—
313	Dic₃₈	—	2	2	no	—
314	#3543	—	19	1	no	maximal, Sylow
315	C₂²×C₁₉	—	2	1	no	—
316	C₂²×C₁₉	—	2	1	no	—
317	C₂²×C₁₉	—	2	2	no	—
318	C₂²×C₁₉	—	2	2	no	—
319	C₂²×C₁₉	—	2	2	no	—
320	C₂²×C₁₉	—	2	1	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	2	no	—
326	C₂²×C₁₉	—	2	2	no	—
327	C₂²×C₁₉	—	2	1	no	—
328	C₂²×C₁₉	—	2	2	no	—
329	C₂²×C₁₉	—	8	4	no	—
330	C₂²×C₁₉	—	8	4	no	—
331	C₂²×C₁₉	H(5,𝔽₂)	1	2	yes	—
332	C₂²×C₁₉	C₂⁵	1	1	yes	characteristic
333	C₂×D₁₉	—	2	1	no	—
334	C₂×D₁₉	—	2	2	no	—
335	C₂×D₁₉	—	2	2	no	—
336	C₂×D₁₉	—	2	2	no	—
337	C₂×D₁₉	—	2	2	no	—
338	C₂×D₁₉	—	2	1	no	—
339	C₂×D₁₉	—	2	2	no	—
340	C₂×D₁₉	—	2	1	no	—
341	C₂×D₁₉	—	2	2	no	—
342	C₂×D₁₉	—	8	4	no	—
343	C₂×D₁₉	—	8	4	no	—
344	C₄×C₁₉	—	2	1	no	—
345	C₄×C₁₉	—	2	1	no	—
346	C₄×C₁₉	—	2	2	no	—
347	C₄×C₁₉	—	2	1	no	—
348	C₄×C₁₉	—	2	1	no	—
349	C₄×C₁₉	H(5,𝔽₂)	1	2	yes	—
350	Dic₁₉	—	2	2	no	—
351	Dic₁₉	—	2	1	no	—
352	Dic₁₉	—	2	1	no	—
353	Dic₁₉	—	2	1	no	—
354	Dic₁₉	—	2	2	no	—
355	Dic₁₉	—	2	1	no	—
356	Dic₁₉	—	2	1	no	—
357	Dic₁₉	—	2	1	no	—
358	Dic₁₉	H(5,𝔽₂)	1	2	yes	—
359	#560	—	19	2	no	—
360	#560	—	19	2	no	—
361	#559	—	19	1	no	—
362	#550	—	19	1	no	—
363	#550	—	19	1	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	D₄²	—	19	1	no	—
370	D₄²	D₁₉	1	1	yes	characteristic, complemented
371	#540	—	19	2	no	—
372	#540	—	19	1	no	—
373	#540	—	19	1	no	—
374	#535	—	19	1	no	—
375	#535	—	19	1	no	—
376	#535	—	19	2	no	—
377	#534	—	19	2	no	—
378	#534	—	19	2	no	—
379	C₂×#127	—	19	1	no	—
380	#529	—	19	1	no	—
381	#529	—	19	1	no	—
382	C₂×C₁₉	—	2	2	no	—
383	C₂×C₁₉	—	4	2	no	—
384	C₂×C₁₉	—	4	2	no	—
385	C₂×C₁₉	—	4	1	no	—
386	C₂×C₁₉	—	4	2	no	—
387	C₂×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
388	C₂×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
389	C₂×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
390	D₁₉	—	4	2	no	—
391	D₁₉	—	4	1	no	—
392	D₁₉	—	4	2	no	—
393	C₂×#41	—	19	2	no	—
394	C₂×#41	—	19	1	no	—
395	C₂×#41	—	19	1	no	—
396	C₂²×D₄	—	19	2	no	—
397	C₂²×D₄	—	19	2	no	—
398	C₂²×D₄	—	19	2	no	—
399	C₂²×D₄	—	19	2	no	—
400	C₂²×D₄	—	19	1	no	—
401	C₂²×D₄	—	19	1	no	—
402	C₂²×D₄	C₂×D₁₉	1	1	yes	characteristic, complemented
403	C₂²×D₄	C₂×D₁₉	1	2	yes	complemented
404	C₂²×D₄	C₂×D₁₉	1	1	yes	characteristic, complemented
405	#127	—	19	1	no	—
406	#127	—	19	2	no	—
407	#127	—	19	1	no	—
408	#127	—	19	1	no	—
409	#127	—	19	1	no	—
410	#127	—	19	2	no	—
411	#127	—	19	2	no	—
412	#127	—	19	1	no	—
413	#127	C₂×D₁₉	1	1	yes	characteristic, complemented
414	#126	—	19	1	no	—
415	#126	—	19	1	no	—
416	#126	—	19	2	no	—
417	#125	—	19	1	no	—
418	#125	—	19	1	no	—
419	#124	—	19	1	no	—
420	#124	—	19	1	no	—
421	#124	—	19	1	no	—
422	#124	—	19	2	no	—
423	#124	—	19	1	no	—
424	#123	—	19	2	no	—
425	#123	—	19	1	no	—
426	#123	—	19	2	no	—
427	#123	—	19	2	no	—
428	#123	—	19	2	no	—
429	#123	—	19	2	no	—
430	#123	—	19	1	no	—
431	#123	—	19	2	no	—
432	#123	—	19	2	no	—
433	#123	—	19	2	no	—
434	#123	—	19	2	no	—
435	C₂²⋊Q₈	—	19	1	no	—
436	C₂²⋊Q₈	—	19	1	no	—
437	#121	—	19	2	no	—
438	#121	—	19	2	no	—
439	#121	—	19	2	no	—
440	#121	—	19	1	no	—
441	#121	—	19	2	no	—
442	#121	—	19	1	no	—
443	#121	—	19	2	no	—
444	#121	—	19	2	no	—
445	#121	—	19	2	no	—
446	#121	—	19	2	no	—
447	#121	—	19	2	no	—
448	#121	—	19	2	no	—
449	#121	—	19	2	no	—
450	#121	—	19	2	no	—
451	#121	—	19	1	no	—
452	#121	—	19	2	no	—
453	#121	—	19	1	no	—
454	#121	—	19	2	no	—
455	#121	—	19	2	no	—
456	#121	—	19	2	no	—
457	#121	—	19	2	no	—
458	#121	C₂×D₁₉	1	1	yes	characteristic
459	#121	C₂×D₁₉	1	1	yes	characteristic, complemented
460	#121	C₂×D₁₉	1	2	yes	complemented
461	#120	—	19	2	no	—
462	#120	—	19	2	no	—
463	#120	—	19	2	no	—
464	#120	—	19	2	no	—
465	#120	—	19	2	no	—
466	#120	—	19	2	no	—
467	#120	—	19	2	no	—
468	#120	—	19	2	no	—
469	#120	—	19	2	no	—
470	#120	—	19	2	no	—
471	#120	C₂×D₁₉	1	2	yes	complemented
472	#120	C₂×D₁₉	1	2	yes	complemented
473	C₄×Q₈	—	19	1	no	—
474	C₄×Q₈	—	19	1	no	—
475	C₄×D₄	—	19	2	no	—
476	C₄×D₄	—	19	1	no	—
477	C₄×D₄	—	19	1	no	—
478	C₄×D₄	—	19	1	no	—
479	C₄×D₄	—	19	1	no	—
480	C₄×D₄	—	19	2	no	—
481	C₄×D₄	—	19	1	no	—
482	C₄×D₄	—	19	2	no	—
483	C₄×D₄	—	19	1	no	—
484	C₄×D₄	C₂×D₁₉	1	1	yes	characteristic, complemented
485	C₄×D₄	C₂×D₁₉	1	1	yes	characteristic, complemented
486	#117	—	19	1	no	—
487	#117	—	19	2	no	—
488	#117	—	19	1	no	—
489	C₂×C₂²⋊C₄	—	19	2	no	—
490	C₂×C₂²⋊C₄	—	19	2	no	—
491	C₂×C₄²	—	19	1	no	—
492	C₁₉	#3543	1	1	yes	characteristic, complemented, Sylow
493	C₂⁴	—	19	2	no	—
494	C₂⁴	—	19	2	no	—
495	C₂⁴	C₂²×D₁₉	1	2	yes	—
496	C₂⁴	C₂²×D₁₉	1	2	yes	—
497	#41	—	76	2	no	—
498	#41	—	76	2	no	—
499	#41	—	76	4	no	—
500	C₂×Q₈	—	19	1	no	—
501	C₂×Q₈	—	19	1	no	—
502	C₂×D₄	—	4	2	no	—
503	C₂×D₄	—	4	2	no	—
504	C₂×D₄	—	4	4	no	—
505	C₂×D₄	—	19	1	no	—
506	C₂×D₄	—	19	1	no	—
507	C₂×D₄	—	19	2	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	2	no	—
516	C₂×D₄	—	19	2	no	—
517	C₂×D₄	—	19	2	no	—
518	C₂×D₄	—	19	2	no	—
519	C₂×D₄	—	19	2	no	—
520	C₂×D₄	—	19	2	no	—
521	C₂×D₄	—	19	2	no	—
522	C₂×D₄	—	19	1	no	—
523	C₂×D₄	—	19	1	no	—
524	C₂×D₄	—	19	2	no	—
525	C₂×D₄	—	19	2	no	—
526	C₂×D₄	—	76	2	no	—
527	C₂×D₄	—	76	2	no	—
528	C₂×D₄	—	76	4	no	—
529	C₂×D₄	—	76	4	no	—
530	C₂×D₄	—	76	4	no	—
531	C₂×D₄	—	76	4	no	—
532	C₂×D₄	C₂²×D₁₉	1	2	yes	—
533	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
534	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
535	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
536	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
537	C₂×D₄	C₂²×D₁₉	1	2	yes	—
538	C₂×D₄	C₂²×D₁₉	1	2	yes	—
539	C₂×D₄	C₂²×D₁₉	1	2	yes	—
540	C₂×D₄	C₂²×D₁₉	1	2	yes	—
541	C₂×D₄	C₂²×D₁₉	1	2	yes	—
542	C₂²×C₄	—	19	1	no	—
543	C₂²×C₄	—	19	1	no	—
544	C₂²×C₄	—	19	2	no	—
545	C₂²×C₄	—	19	2	no	—
546	C₂²×C₄	—	19	2	no	—
547	C₂²×C₄	—	19	1	no	—
548	C₂²×C₄	—	19	2	no	—
549	C₂²×C₄	—	19	2	no	—
550	C₂²×C₄	—	19	2	no	—
551	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
552	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
553	C₂²×C₄	C₂²×D₁₉	1	2	yes	—
554	C₄⋊C₄	—	19	1	no	—
555	C₄⋊C₄	—	19	2	no	—
556	C₄⋊C₄	—	19	2	no	—
557	C₄⋊C₄	—	19	1	no	—
558	C₄⋊C₄	—	19	1	no	—
559	C₄⋊C₄	—	19	1	no	—
560	C₄⋊C₄	—	19	1	no	—
561	C₄⋊C₄	—	19	2	no	—
562	C₄⋊C₄	—	19	1	no	—
563	C₄⋊C₄	—	19	1	no	—
564	C₄⋊C₄	—	19	1	no	—
565	C₄⋊C₄	—	19	1	no	—
566	C₄⋊C₄	—	19	2	no	—
567	C₄⋊C₄	—	19	1	no	—
568	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
569	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
570	C₂²⋊C₄	—	19	2	no	—
571	C₂²⋊C₄	—	19	1	no	—
572	C₂²⋊C₄	—	19	2	no	—
573	C₂²⋊C₄	—	19	2	no	—
574	C₂²⋊C₄	—	19	1	no	—
575	C₂²⋊C₄	—	19	2	no	—
576	C₂²⋊C₄	—	19	1	no	—
577	C₂²⋊C₄	—	19	2	no	—
578	C₂²⋊C₄	—	19	1	no	—
579	C₂²⋊C₄	—	19	2	no	—
580	C₂²⋊C₄	—	19	2	no	—
581	C₂²⋊C₄	—	19	2	no	—
582	C₂²⋊C₄	—	19	2	no	—
583	C₂²⋊C₄	—	19	2	no	—
584	C₂²⋊C₄	—	19	1	no	—
585	C₂²⋊C₄	—	19	1	no	—
586	C₂²⋊C₄	—	19	1	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	C₂²×D₁₉	1	1	yes	characteristic
593	C₂²⋊C₄	C₂²×D₁₉	1	2	yes	—
594	C₂²⋊C₄	C₂²×D₁₉	1	2	yes	—
595	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
596	C₂²⋊C₄	C₂²×D₁₉	1	2	yes	—
597	C₄²	—	19	1	no	—
598	C₄²	—	19	1	no	—
599	C₄²	—	19	1	no	—
600	C₄²	—	19	1	no	—
601	C₄²	—	19	2	no	—
602	C₄²	—	19	1	no	—
603	C₄²	C₂²×D₁₉	1	1	yes	characteristic
604	C₂³	—	2	4	no	—
605	C₂³	—	4	2	no	—
606	C₂³	—	4	2	no	—
607	C₂³	—	4	2	no	—
608	C₂³	—	4	2	no	—
609	C₂³	—	4	2	no	—
610	C₂³	—	19	1	no	—
611	C₂³	—	19	2	no	—
612	C₂³	—	19	2	no	—
613	C₂³	—	38	4	no	—
614	C₂³	—	76	2	no	—
615	C₂³	—	76	2	no	—
616	C₂³	—	76	2	no	—
617	C₂³	—	76	2	no	—
618	C₂³	—	76	2	no	—
619	C₂³	C₂³×D₁₉	1	2	yes	—
620	C₂³	C₂³×D₁₉	1	1	yes	characteristic
621	C₂³	C₂³×D₁₉	1	2	yes	—
622	C₂³	C₂³×D₁₉	1	2	yes	—
623	C₂³	C₂³×D₁₉	1	1	yes	characteristic
624	Q₈	—	38	2	no	—
625	Q₈	—	38	2	no	—
626	D₄	—	2	2	no	—
627	D₄	—	2	4	no	—
628	D₄	—	2	2	no	—
629	D₄	—	2	2	no	—
630	D₄	—	2	2	no	—
631	D₄	—	4	2	no	—
632	D₄	—	4	2	no	—
633	D₄	—	4	2	no	—
634	D₄	—	4	2	no	—
635	D₄	—	4	2	no	—
636	D₄	—	38	2	no	—
637	D₄	—	38	4	no	—
638	D₄	—	38	4	no	—
639	D₄	—	38	2	no	—
640	D₄	—	38	2	no	—
641	D₄	—	38	2	no	—
642	D₄	—	76	2	no	—
643	D₄	—	76	2	no	—
644	D₄	—	76	2	no	—
645	D₄	—	76	2	no	—
646	D₄	—	76	2	no	—
647	D₄	—	76	2	no	—
648	D₄	—	76	2	no	—
649	D₄	—	76	2	no	—
650	D₄	—	76	2	no	—
651	D₄	—	76	2	no	—
652	D₄	—	76	2	no	—
653	D₄	—	76	2	no	—
654	D₄	—	76	2	no	—
655	D₄	—	76	2	no	—
656	D₄	—	76	2	no	—
657	C₂×C₄	—	2	2	no	—
658	C₂×C₄	—	2	2	no	—
659	C₂×C₄	—	4	2	no	—
660	C₂×C₄	—	19	1	no	—
661	C₂×C₄	—	19	1	no	—
662	C₂×C₄	—	19	1	no	—
663	C₂×C₄	—	19	1	no	—
664	C₂×C₄	—	19	1	no	—
665	C₂×C₄	—	19	2	no	—
666	C₂×C₄	—	19	1	no	—
667	C₂×C₄	—	19	2	no	—
668	C₂×C₄	—	19	1	no	—
669	C₂×C₄	—	38	2	no	—
670	C₂×C₄	—	38	4	no	—
671	C₂×C₄	—	38	2	no	—
672	C₂×C₄	—	38	2	no	—
673	C₂×C₄	—	76	2	no	—
674	C₂×C₄	—	76	2	no	—
675	C₂×C₄	—	76	2	no	—
676	C₂×C₄	—	76	2	no	—
677	C₂×C₄	—	76	2	no	—
678	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
679	C₂×C₄	C₂³×D₁₉	1	2	yes	—
680	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
681	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
682	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
683	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
684	C₂²	—	2	1	no	—
685	C₂²	—	2	1	no	—
686	C₂²	—	2	2	no	—
687	C₂²	—	2	2	no	—
688	C₂²	—	2	1	no	—
689	C₂²	—	2	2	no	—
690	C₂²	—	2	1	no	—
691	C₂²	—	2	2	no	—
692	C₂²	—	2	2	no	—
693	C₂²	—	2	1	no	—
694	C₂²	—	2	2	no	—
695	C₂²	—	2	2	no	—
696	C₂²	—	2	2	no	—
697	C₂²	—	2	2	no	—
698	C₂²	—	8	4	no	—
699	C₂²	—	8	4	no	—
700	C₂²	—	38	2	no	—
701	C₂²	—	38	1	no	—
702	C₂²	—	38	2	no	—
703	C₂²	—	38	1	no	—
704	C₂²	—	38	2	no	—
705	C₂²	—	38	2	no	—
706	C₂²	—	38	1	no	—
707	C₂²	—	38	2	no	—
708	C₂²	—	38	2	no	—
709	C₂²	—	152	4	no	—
710	C₂²	—	152	4	no	—
711	C₂²	#10597430	1	2	yes	—
712	C₂²	C₂⁴×D₁₉	1	1	yes	characteristic
713	C₄	—	2	1	no	—
714	C₄	—	2	1	no	—
715	C₄	—	2	1	no	—
716	C₄	—	2	1	no	—
717	C₄	—	2	2	no	—
718	C₄	—	19	2	no	—
719	C₄	—	38	2	no	—
720	C₄	—	38	1	no	—
721	C₄	—	38	1	no	—
722	C₄	—	38	1	no	—
723	C₄	—	38	1	no	—
724	C₄	—	38	1	no	—
725	C₄	—	38	1	no	—
726	C₄	—	38	2	no	—
727	C₄	#10597430	1	2	yes	—
728	C₂	—	2	2	no	—
729	C₂	—	4	1	no	—
730	C₂	—	4	2	no	—
731	C₂	—	4	2	no	—
732	C₂	—	4	2	no	—
733	C₂	—	76	1	no	—
734	C₂	—	76	2	no	—
735	C₂	—	76	2	no	—
736	C₂	H(5,𝔽₂)×D₁₉	1	1	yes	characteristic
737	C₂	C₂×#10597430	1	1	yes	characteristic
738	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	#3543
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. #11927283	C₂	semidirect
2. #11927282	C₂	semidirect
3. #11927277	C₂	semidirect
4. #11927214	C₂	semidirect
5. #11927212	C₂	semidirect
6. #11927190	C₂	semidirect
7. #11927188	C₂	semidirect
8. #11927181	C₂	semidirect
9. #11927178	C₂	semidirect
10. D₄×C₂²⋊D₁₉	C₂	semidirect
11. D₄×C₂²⋊D₁₉	C₂	semidirect
12. #11927147	C₂	semidirect
13. #11927145	C₂	semidirect
14. #11927144	C₂	semidirect
15. #11927111	C₂	semidirect
16. #11927109	C₂	semidirect
17. #11927107	C₂	semidirect
18. #11927104	C₂	semidirect
19. #11927103	C₂	semidirect
20. C₂×#10597386	C₂	semidirect
21. #11927075	C₂	semidirect
22. #11927074	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. C₂×#64543	C₂²	semidirect
31. C₂×#64543	C₂²	semidirect
32. C₂×D₄×D₁₉	C₂²	semidirect
33. C₂×D₄×D₁₉	C₂²	semidirect
34. C₂×#64541	C₂²	semidirect
35. C₂²×D₇₆	C₂²	semidirect
36. C₁₉×#127	C₂²	semidirect
38. C₁₉×#121	C₂²	semidirect
39. C₁₉×#121	C₂²	semidirect
40. C₁₉×#120	C₂²	semidirect
41. C₁₉×#120	C₂²	semidirect
42. C₄×D₄×C₁₉	C₂²	semidirect
43. C₄×D₄×C₁₉	C₂²	semidirect
44. #10597399	C₂²	semidirect
45. #10597399	C₂²	semidirect
46. #10597399	C₂²	semidirect
47. #10597399	C₂²	semidirect
48. C₂×C₂²⋊Dic₁₉	C₂²	semidirect
50. #10597386	C₂²	semidirect
51. #10597386	C₂²	semidirect
52. #10597386	C₂²	semidirect
53. #10597386	C₂²	semidirect
54. #10597386	C₂²	semidirect
55. #10597386	C₂²	semidirect
56. #10597386	C₂²	semidirect
58. #10597385	C₂²	semidirect
59. #10597385	C₂²	semidirect
60. #10597385	C₂²	semidirect
61. #10597385	C₂²	semidirect
62. #10597385	C₂²	semidirect
63. #10597385	C₂²	semidirect
64. #10597385	C₂²	semidirect
65. #10597385	C₂²	semidirect
66. #10597384	C₂²	semidirect
67. #10597384	C₂²	semidirect
68. #10597384	C₂²	semidirect
69. #10597384	C₂²	semidirect
70. #10597384	C₂²	semidirect
71. #10597383	C₂²	semidirect
72. #10597383	C₂²	semidirect
73. #10597383	C₂²	semidirect
74. #10597383	C₂²	semidirect
75. #10597383	C₂²	semidirect
76. #10597382	C₂²	semidirect
77. #10597382	C₂²	semidirect
78. #10597381	C₂²	semidirect
79. #10597381	C₂²	semidirect
80. #10597381	C₂²	semidirect
81. D₄×Dic₁₉	C₂²	semidirect
82. D₄×Dic₁₉	C₂²	semidirect
83. D₄×Dic₁₉	C₂²	semidirect
84. #10597376	C₂²	semidirect
85. #10597376	C₂²	semidirect
86. #10597375	C₂²	semidirect
87. #10597375	C₂²	semidirect
88. C₄×C₂²⋊D₁₉	C₂²	semidirect
89. C₄×C₂²⋊D₁₉	C₂²	semidirect
90. C₄×C₂²⋊D₁₉	C₂²	semidirect
91. #10597372	C₂²	semidirect
92. #10597370	C₂²	semidirect
93. C₂×C₄×Dic₁₉	C₂²	semidirect
94. #10597344	C₂²	semidirect
95. #10597341	C₂²	semidirect
96. #10597340	C₂²	semidirect
97. #10597339	C₂²	semidirect
98. #10597336	C₂²	semidirect
99. #10597335	C₂²	semidirect
100. #10597333	C₂²	semidirect
101. #10597332	C₂²	semidirect
102. #10597332	C₂²	semidirect
103. #10597331	C₂²	semidirect
104. #10597331	C₂²	semidirect
105. #10597330	C₂²	semidirect
106. #10597330	C₂²	semidirect
107. #10597330	C₂²	semidirect
108. #10597330	C₂²	semidirect
109. #10597329	C₂²	semidirect
110. #10597329	C₂²	semidirect
111. #10597329	C₂²	semidirect
112. #10597328	C₂²	semidirect
113. (C₂²⋊D₁₉)⋊C₄	C₂²	semidirect
114. C₂²⋊C₄×D₁₉	C₂²	semidirect
115. #10597325	C₂²	semidirect
116. #10597325	C₂²	semidirect
117. #10597324	C₂²	semidirect
118. #10597323	C₂²	semidirect
119. #10597321	C₂²	semidirect
120. C₄×D₇₆	C₂²	semidirect
121. #10597318	C₂²	semidirect
122. C₄×Dic₃₈	C₂²	semidirect
370. D₄²	D₁₉	semidirect
402. C₂²×D₄	C₂×D₁₉	semidirect
403. C₂²×D₄	C₂×D₁₉	semidirect
404. C₂²×D₄	C₂×D₁₉	semidirect
413. #127	C₂×D₁₉	semidirect
459. #121	C₂×D₁₉	semidirect
460. #121	C₂×D₁₉	semidirect
471. #120	C₂×D₁₉	semidirect
472. #120	C₂×D₁₉	semidirect
484. C₄×D₄	C₂×D₁₉	semidirect
485. C₄×D₄	C₂×D₁₉	semidirect
492. C₁₉	#3543	semidirect

Maximal subgroups

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

subgroup	index
#11927283	2
#11927282	2
#11927277	2
#11927214	2
#11927212	2
#11927190	2
#11927188	2
#11927181	2
#11927178	2
D₄×C₂²⋊D₁₉	2
#11927147	2
#11927145	2
#11927144	2
#11927111	2
#11927109	2
#11927107	2
#11927104	2
#11927103	2
C₂×#10597386	2
#11927075	2
#11927074	2
D₄²×C₁₉	2
#3543	19