Subgroups — #14578216

Order 2432.

1050 conjugacy classes of subgroups.

The subgroup lattice has 1014 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11927291	C₂	1	1	yes	maximal, characteristic, complemented
2	#11927290	C₂	1	1	yes	maximal, characteristic, complemented
3	#11927285	C₂	1	1	yes	maximal, characteristic, complemented
4	#11927283	C₂	1	1	yes	maximal, characteristic, complemented
5	#11927278	C₂	1	1	yes	maximal, characteristic, complemented
6	#11927262	C₂	1	1	yes	maximal, characteristic, complemented
7	#11927243	C₂	1	1	yes	maximal, characteristic, complemented
8	#11927238	C₂	1	1	yes	maximal, characteristic, complemented
9	#11927219	C₂	1	1	yes	maximal, characteristic, complemented
10	#11927215	C₂	1	1	yes	maximal, characteristic, complemented
11	#11927204	C₂	1	1	yes	maximal, characteristic, complemented
12	#11927202	C₂	1	1	yes	maximal, characteristic, complemented
13	#11927192	C₂	1	1	yes	maximal, characteristic, complemented
14	#11927184	C₂	1	1	yes	maximal, characteristic, complemented
15	#11927184	C₂	1	1	yes	maximal, characteristic, complemented
16	#11927151	C₂	1	1	yes	maximal, characteristic, complemented
17	#11927149	C₂	1	1	yes	maximal, characteristic, complemented
18	#11927146	C₂	1	1	yes	maximal, characteristic, complemented
19	#11927146	C₂	1	1	yes	maximal, characteristic, complemented
20	#11927140	C₂	1	1	yes	maximal, characteristic, complemented
21	#11927136	C₂	1	1	yes	maximal, characteristic, complemented
22	#11927132	C₂	1	1	yes	maximal, characteristic, complemented
23	#11927132	C₂	1	1	yes	maximal, characteristic, complemented
24	#11927130	C₂	1	1	yes	maximal, characteristic, complemented
25	#11927128	C₂	1	1	yes	maximal, characteristic, complemented
26	#11927117	C₂	1	1	yes	maximal, characteristic, complemented
27	#11927109	C₂	1	1	yes	maximal, characteristic, complemented
28	#11927091	C₂	1	1	yes	maximal, characteristic, complemented
29	#11927077	C₂	1	1	yes	maximal, characteristic, complemented
30	#11927072	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₉×#551	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic
33	C₂×Q₈×D₁₉	C₂²	1	1	yes	characteristic, complemented
34	C₂×#64543	C₂²	1	1	yes	characteristic
35	C₂×#64541	C₂²	1	1	yes	characteristic
36	C₂×#64541	C₂²	1	1	yes	characteristic
37	C₂×#64541	C₂²	1	1	yes	characteristic, complemented
38	C₁₉×#126	C₂²	1	1	yes	characteristic
39	C₁₉×#126	C₂²	1	1	yes	characteristic
40	C₁₉×#124	C₂²	1	1	yes	characteristic
41	C₁₉×#123	C₂²	1	1	yes	characteristic
42	C₁₉×#123	C₂²	1	1	yes	characteristic, complemented
43	C₁₉×#123	C₂²	1	1	yes	characteristic, complemented
44	C₁₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
45	C₁₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
46	C₁₉×#120	C₂²	1	1	yes	characteristic
47	C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
48	C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
49	C₁₉×#117	C₂²	1	1	yes	characteristic, complemented
50	C₁₉×#117	C₂²	1	1	yes	characteristic, complemented
51	C₂×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
52	C₂×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
53	#10597399	C₂²	1	1	yes	characteristic
54	#10597399	C₂²	1	1	yes	characteristic
55	#10597399	C₂²	1	1	yes	characteristic
56	#10597393	C₂²	1	1	yes	characteristic, complemented
57	#10597392	C₂²	1	1	yes	characteristic, complemented
58	#10597392	C₂²	1	1	yes	characteristic, complemented
59	#10597386	C₂²	1	1	yes	characteristic
60	#10597386	C₂²	1	1	yes	characteristic
61	#10597386	C₂²	1	1	yes	characteristic, complemented
62	#10597385	C₂²	1	1	yes	characteristic
63	#10597385	C₂²	1	1	yes	characteristic
64	#10597385	C₂²	1	1	yes	characteristic
65	#10597385	C₂²	1	1	yes	characteristic, complemented
66	#10597384	C₂²	1	1	yes	characteristic
67	#10597384	C₂²	1	1	yes	characteristic, complemented
68	#10597383	C₂²	1	1	yes	characteristic
69	#10597381	C₂²	1	1	yes	characteristic, complemented
70	#10597376	C₂²	1	1	yes	characteristic
71	#10597376	C₂²	1	1	yes	characteristic
72	#10597376	C₂²	1	1	yes	characteristic, complemented
73	#10597376	C₂²	1	1	yes	characteristic, complemented
74	#10597376	C₂²	1	1	yes	characteristic, complemented
75	#10597375	C₂²	1	1	yes	characteristic
76	#10597375	C₂²	1	1	yes	characteristic
77	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic
78	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic
79	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic, complemented
80	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic, complemented
81	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic, complemented
82	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic, complemented
83	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic, complemented
84	#10597370	C₂²	1	1	yes	characteristic, complemented
85	#10597370	C₂²	1	1	yes	characteristic, complemented
86	C₂×Dic₁₉⋊C₄	C₂²	1	1	yes	characteristic, complemented
87	#10597344	C₂²	1	1	yes	characteristic, complemented
88	#10597343	C₂²	1	1	yes	characteristic, complemented
89	#10597343	C₂²	1	1	yes	characteristic, complemented
90	#10597342	C₂²	1	1	yes	characteristic, complemented
91	#10597342	C₂²	1	1	yes	characteristic, complemented
92	#10597342	C₂²	1	1	yes	characteristic, complemented
93	#10597341	C₂²	1	1	yes	characteristic, complemented
94	#10597341	C₂²	1	1	yes	characteristic, complemented
95	#10597341	C₂²	1	1	yes	characteristic, complemented
96	#10597340	C₂²	1	1	yes	characteristic, complemented
97	#10597340	C₂²	1	1	yes	characteristic, complemented
98	#10597340	C₂²	1	1	yes	characteristic, complemented
99	#10597340	C₂²	1	1	yes	characteristic, complemented
100	#10597340	C₂²	1	1	yes	characteristic, complemented
101	#10597340	C₂²	1	1	yes	characteristic, complemented
102	#10597340	C₂²	1	1	yes	characteristic, complemented
103	#10597340	C₂²	1	1	yes	characteristic, complemented
104	#10597339	C₂²	1	1	yes	characteristic, complemented
105	#10597339	C₂²	1	1	yes	characteristic, complemented
106	#10597339	C₂²	1	1	yes	characteristic, complemented
107	#10597338	C₂²	1	1	yes	characteristic, complemented
108	#10597338	C₂²	1	1	yes	characteristic, complemented
109	C₄⋊C₄×D₁₉	C₂²	1	1	yes	characteristic, complemented
110	#10597336	C₂²	1	1	yes	characteristic, complemented
111	#10597335	C₂²	1	1	yes	characteristic, complemented
112	#10597335	C₂²	1	1	yes	characteristic, complemented
113	#10597335	C₂²	1	1	yes	characteristic, complemented
114	#10597335	C₂²	1	1	yes	characteristic, complemented
115	#10597334	C₂²	1	1	yes	characteristic, complemented
116	#10597334	C₂²	1	1	yes	characteristic, complemented
117	#10597333	C₂²	1	1	yes	characteristic, complemented
118	#10597333	C₂²	1	1	yes	characteristic, complemented
119	#10597332	C₂²	1	1	yes	characteristic, complemented
120	#10597332	C₂²	1	1	yes	characteristic, complemented
121	#10597331	C₂²	1	1	yes	characteristic
122	#10597331	C₂²	1	1	yes	characteristic
123	#10597331	C₂²	1	1	yes	characteristic
124	#10597331	C₂²	1	1	yes	characteristic
125	#10597331	C₂²	1	1	yes	characteristic
126	#10597331	C₂²	1	1	yes	characteristic
127	#10597331	C₂²	1	1	yes	characteristic, complemented
128	#10597331	C₂²	1	1	yes	characteristic, complemented
129	#10597331	C₂²	1	1	yes	characteristic, complemented
130	#10597331	C₂²	1	1	yes	characteristic, complemented
131	#10597330	C₂²	1	1	yes	characteristic
132	#10597330	C₂²	1	1	yes	characteristic
133	#10597330	C₂²	1	1	yes	characteristic
134	#10597330	C₂²	1	1	yes	characteristic
135	#10597330	C₂²	1	1	yes	characteristic
136	#10597330	C₂²	1	1	yes	characteristic
137	#10597330	C₂²	1	1	yes	characteristic
138	#10597330	C₂²	1	1	yes	characteristic
139	#10597330	C₂²	1	1	yes	characteristic
140	#10597330	C₂²	1	1	yes	characteristic, complemented
141	#10597330	C₂²	1	1	yes	characteristic, complemented
142	#10597330	C₂²	1	1	yes	characteristic, complemented
143	#10597330	C₂²	1	1	yes	characteristic, complemented
144	#10597330	C₂²	1	1	yes	characteristic, complemented
145	#10597330	C₂²	1	1	yes	characteristic, complemented
146	#10597330	C₂²	1	1	yes	characteristic, complemented
147	#10597329	C₂²	1	1	yes	characteristic
148	#10597329	C₂²	1	1	yes	characteristic
149	#10597329	C₂²	1	1	yes	characteristic
150	#10597329	C₂²	1	1	yes	characteristic
151	#10597329	C₂²	1	1	yes	characteristic, complemented
152	#10597329	C₂²	1	1	yes	characteristic, complemented
153	#10597329	C₂²	1	1	yes	characteristic, complemented
154	#10597329	C₂²	1	1	yes	characteristic, complemented
155	#10597328	C₂²	1	1	yes	characteristic
156	#10597328	C₂²	1	1	yes	characteristic
157	#10597328	C₂²	1	1	yes	characteristic
158	(C₂²⋊D₁₉)⋊C₄	C₂²	1	1	yes	characteristic
159	(C₂²⋊D₁₉)⋊C₄	C₂²	1	1	yes	characteristic
160	(C₂²⋊D₁₉)⋊C₄	C₂²	1	1	yes	characteristic, complemented
161	(C₂²⋊D₁₉)⋊C₄	C₂²	1	1	yes	characteristic, complemented
162	(C₂²⋊D₁₉)⋊C₄	C₂²	1	1	yes	characteristic, complemented
163	C₂²⋊C₄×D₁₉	C₂²	1	1	yes	characteristic
164	C₂²⋊C₄×D₁₉	C₂²	1	1	yes	characteristic
165	#10597325	C₂²	1	1	yes	characteristic
166	#10597325	C₂²	1	1	yes	characteristic
167	#10597325	C₂²	1	1	yes	characteristic
168	#10597325	C₂²	1	1	yes	characteristic, complemented
169	#10597325	C₂²	1	1	yes	characteristic, complemented
170	#10597325	C₂²	1	1	yes	characteristic, complemented
171	#10597324	C₂²	1	1	yes	characteristic
172	#10597324	C₂²	1	1	yes	characteristic
173	#10597324	C₂²	1	1	yes	characteristic, complemented
174	#10597323	C₂²	1	1	yes	characteristic
175	#10597322	C₂²	1	1	yes	characteristic, complemented
176	#10597322	C₂²	1	1	yes	characteristic, complemented
177	#10597322	C₂²	1	1	yes	characteristic, complemented
178	#10597320	C₂²	1	1	yes	characteristic, complemented
179	C₄×D₇₆	C₂²	1	1	yes	characteristic, complemented
180	C₄×D₇₆	C₂²	1	1	yes	characteristic, complemented
181	C₄×D₇₆	C₂²	1	1	yes	characteristic, complemented
182	#10597318	C₂²	1	1	yes	characteristic, complemented
183	C₄²×D₁₉	C₂²	1	1	yes	characteristic, complemented
184	#10597316	C₂²	1	1	yes	characteristic, complemented
185	C₄×Dic₃₈	C₂²	1	1	yes	characteristic, complemented
186	C₄×Dic₃₈	C₂²	1	1	yes	characteristic, complemented
187	C₂⁴×C₁₉	C₂³	1	1	yes	characteristic
188	C₂³×D₁₉	C₂³	1	1	yes	characteristic
189	C₂×Q₈×C₁₉	C₂³	1	1	yes	characteristic
190	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
191	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
192	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
193	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
194	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
195	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
196	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
197	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
198	C₂×C₂²⋊D₁₉	—	4	2	no	—
199	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
200	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
201	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
202	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
203	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
204	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
205	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
206	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
207	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
208	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
209	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
210	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
211	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
212	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
213	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
214	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
215	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
216	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
217	C₂²×Dic₁₉	C₂³	1	1	yes	characteristic
218	C₂²×Dic₁₉	C₂³	1	1	yes	characteristic
219	C₂²×Dic₁₉	C₂³	1	1	yes	characteristic
220	Q₈×D₁₉	—	4	2	no	—
221	#64543	—	4	2	no	—
222	#64541	—	4	2	no	—
223	#64541	—	4	2	no	—
224	#64541	—	4	2	no	—
225	C₂×D₇₆	C₂³	1	1	yes	characteristic
226	C₂×D₇₆	C₂³	1	1	yes	characteristic
227	C₂×D₇₆	C₂³	1	1	yes	characteristic
228	C₂×D₇₆	C₂³	1	1	yes	characteristic
229	C₂×D₇₆	C₂³	1	1	yes	characteristic
230	C₂×D₇₆	C₂³	1	1	yes	characteristic
231	C₂×D₇₆	C₂³	1	1	yes	characteristic
232	C₂×D₇₆	C₂³	1	1	yes	characteristic
233	C₂×D₇₆	C₂³	1	1	yes	characteristic
234	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
235	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
236	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
237	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
238	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
239	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
240	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
241	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
242	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
243	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
244	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
245	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
246	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
247	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
248	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
249	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
250	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
251	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
252	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
253	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
254	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
255	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
256	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
257	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
258	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
259	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
260	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
261	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
262	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
263	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
264	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
265	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
266	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
267	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
268	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
269	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
270	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
271	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
272	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
273	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
274	C₄²×C₁₉	C₂³	1	1	yes	characteristic
275	C₄²×C₁₉	C₂³	1	1	yes	characteristic
276	C₄²×C₁₉	C₂³	1	1	yes	characteristic
277	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
278	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
279	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
280	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
281	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
282	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
283	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
284	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
285	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
286	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
287	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
288	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
289	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
290	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
291	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
292	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
293	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
294	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
295	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
296	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
297	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
298	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
299	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
300	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
301	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
302	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
303	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
304	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
305	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
306	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
307	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
308	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
309	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
310	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
311	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
312	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
313	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
314	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
315	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
316	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
317	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
318	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
319	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
320	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
321	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
322	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
323	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
324	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
325	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
326	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
327	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
328	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
329	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
330	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
331	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
332	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
333	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
334	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
335	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
336	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
337	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
338	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
339	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
340	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
341	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
342	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
343	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
344	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
345	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
346	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
347	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
348	C₂³×C₁₉	—	4	1	no	—
349	C₂³×C₁₉	—	4	1	no	—
350	C₂³×C₁₉	—	4	1	no	—
351	C₂³×C₁₉	C₂⁴	1	1	yes	characteristic
352	C₂³×C₁₉	C₂⁴	1	1	yes	characteristic
353	C₂³×C₁₉	C₂⁴	1	1	yes	characteristic
354	C₂³×C₁₉	C₂⁴	1	1	yes	characteristic
355	C₂²×D₁₉	—	4	1	no	—
356	C₂²×D₁₉	—	4	1	no	—
357	C₂²×D₁₉	—	4	1	no	—
358	C₂²×D₁₉	C₂⁴	1	1	yes	characteristic
359	C₂²×D₁₉	C₂⁴	1	1	yes	characteristic
360	C₂²×D₁₉	C₂⁴	1	1	yes	characteristic
361	C₂²×D₁₉	C₂⁴	1	1	yes	characteristic
362	C₂²×D₁₉	C₂⁴	1	1	yes	characteristic
363	Q₈×C₁₉	—	4	1	no	—
364	D₄×C₁₉	—	4	1	no	—
365	D₄×C₁₉	—	4	1	no	—
366	D₄×C₁₉	—	4	1	no	—
367	C₂×C₄×C₁₉	—	4	1	no	—
368	C₂×C₄×C₁₉	—	4	1	no	—
369	C₂×C₄×C₁₉	—	4	1	no	—
370	C₂×C₄×C₁₉	—	4	1	no	—
371	C₂×C₄×C₁₉	—	4	1	no	—
372	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
373	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
374	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
375	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
376	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
377	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
378	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
379	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
380	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
381	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
382	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
383	C₂²⋊D₁₉	—	2	2	no	—
384	C₂²⋊D₁₉	—	2	2	no	—
385	C₂²⋊D₁₉	—	2	2	no	—
386	C₂²⋊D₁₉	—	4	1	no	—
387	C₂²⋊D₁₉	—	4	1	no	—
388	C₂²⋊D₁₉	—	4	1	no	—
389	C₂²⋊D₁₉	—	4	1	no	—
390	C₂²⋊D₁₉	—	4	1	no	—
391	C₂²⋊D₁₉	—	4	1	no	—
392	C₂²⋊D₁₉	—	4	1	no	—
393	C₂²⋊D₁₉	—	4	1	no	—
394	C₂²⋊D₁₉	—	4	1	no	—
395	C₂²⋊D₁₉	—	4	1	no	—
396	C₂²⋊D₁₉	—	4	1	no	—
397	C₂²⋊D₁₉	—	4	1	no	—
398	C₂²⋊D₁₉	—	4	1	no	—
399	C₂²⋊D₁₉	—	4	1	no	—
400	C₂²⋊D₁₉	—	4	1	no	—
401	C₂×Dic₁₉	—	2	2	no	—
402	C₂×Dic₁₉	—	4	1	no	—
403	C₂×Dic₁₉	—	4	1	no	—
404	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
405	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
406	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
407	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
408	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
409	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
410	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
411	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
412	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
413	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
414	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
415	D₇₆	—	4	1	no	—
416	D₇₆	—	4	1	no	—
417	D₇₆	—	4	1	no	—
418	D₇₆	—	4	1	no	—
419	D₇₆	—	4	1	no	—
420	D₇₆	—	4	1	no	—
421	D₇₆	—	4	1	no	—
422	D₇₆	—	4	1	no	—
423	D₇₆	—	4	1	no	—
424	C₄×D₁₉	—	2	2	no	—
425	C₄×D₁₉	—	2	2	no	—
426	C₄×D₁₉	—	4	1	no	—
427	C₄×D₁₉	—	4	1	no	—
428	C₄×D₁₉	—	4	1	no	—
429	C₄×D₁₉	—	4	1	no	—
430	C₄×D₁₉	—	4	1	no	—
431	C₄×D₁₉	—	4	1	no	—
432	C₄×D₁₉	—	4	1	no	—
433	C₄×D₁₉	—	4	1	no	—
434	C₄×D₁₉	—	4	1	no	—
435	C₄×D₁₉	—	4	1	no	—
436	C₄×D₁₉	—	4	1	no	—
437	Dic₃₈	—	2	2	no	—
438	Dic₃₈	—	2	2	no	—
439	Dic₃₈	—	2	2	no	—
440	Dic₃₈	—	4	1	no	—
441	Dic₃₈	—	4	1	no	—
442	#3562	—	19	1	no	maximal, Sylow
443	C₂²×C₁₉	—	2	1	no	—
444	C₂²×C₁₉	—	2	1	no	—
445	C₂²×C₁₉	—	2	1	no	—
446	C₂²×C₁₉	—	2	1	no	—
447	C₂²×C₁₉	—	2	1	no	—
448	C₂²×C₁₉	—	2	1	no	—
449	C₂²×C₁₉	—	2	1	no	—
450	C₂²×C₁₉	—	2	1	no	—
451	C₂²×C₁₉	—	2	1	no	—
452	C₂²×C₁₉	—	2	1	no	—
453	C₂²×C₁₉	—	2	1	no	—
454	C₂²×C₁₉	—	2	1	no	—
455	C₂²×C₁₉	—	8	2	no	—
456	C₂²×C₁₉	C₂⁵	1	1	yes	characteristic
457	C₂×D₁₉	—	2	1	no	—
458	C₂×D₁₉	—	2	1	no	—
459	C₂×D₁₉	—	2	1	no	—
460	C₂×D₁₉	—	2	1	no	—
461	C₂×D₁₉	—	2	1	no	—
462	C₂×D₁₉	—	2	1	no	—
463	C₂×D₁₉	—	2	1	no	—
464	C₂×D₁₉	—	2	1	no	—
465	C₂×D₁₉	—	2	1	no	—
466	C₂×D₁₉	—	2	1	no	—
467	C₂×D₁₉	—	2	1	no	—
468	C₂×D₁₉	—	2	1	no	—
469	C₂×D₁₉	—	2	1	no	—
470	C₂×D₁₉	—	2	1	no	—
471	C₂×D₁₉	—	2	1	no	—
472	C₂×D₁₉	—	8	2	no	—
473	C₄×C₁₉	—	2	1	no	—
474	C₄×C₁₉	—	2	1	no	—
475	C₄×C₁₉	—	2	1	no	—
476	C₄×C₁₉	—	2	1	no	—
477	C₄×C₁₉	—	2	1	no	—
478	C₄×C₁₉	—	2	1	no	—
479	C₄×C₁₉	—	2	1	no	—
480	C₄×C₁₉	—	2	1	no	—
481	C₄×C₁₉	—	2	1	no	—
482	C₄×C₁₉	—	2	1	no	—
483	C₄×C₁₉	—	2	1	no	—
484	Dic₁₉	—	2	1	no	—
485	Dic₁₉	—	2	1	no	—
486	Dic₁₉	—	2	1	no	—
487	Dic₁₉	—	2	1	no	—
488	Dic₁₉	—	2	1	no	—
489	Dic₁₉	—	2	1	no	—
490	Dic₁₉	—	2	1	no	—
491	Dic₁₉	—	2	1	no	—
492	Dic₁₉	—	2	1	no	—
493	Dic₁₉	—	2	1	no	—
494	Dic₁₉	H(5,𝔽₂)	1	2	yes	—
495	#562	—	19	1	no	—
496	#562	—	19	1	no	—
497	#560	—	19	1	no	—
498	#560	—	19	1	no	—
499	#559	—	19	1	no	—
500	#556	—	19	1	no	—
501	#553	—	19	1	no	—
502	#553	—	19	1	no	—
503	#551	—	19	1	no	—
504	#551	D₁₉	1	1	yes	characteristic, complemented
505	#550	—	19	1	no	—
506	#548	—	19	1	no	—
507	#548	—	19	1	no	—
508	#547	—	19	1	no	—
509	#546	—	19	1	no	—
510	#546	—	19	1	no	—
511	#541	—	19	1	no	—
512	#540	—	19	1	no	—
513	#540	—	19	1	no	—
514	#540	—	19	1	no	—
515	#539	—	19	1	no	—
516	#539	—	19	1	no	—
517	#538	—	19	1	no	—
518	#538	—	19	1	no	—
519	#538	—	19	1	no	—
520	#538	—	19	1	no	—
521	#536	—	19	1	no	—
522	#535	—	19	1	no	—
523	#532	—	19	1	no	—
524	#529	—	19	1	no	—
525	#529	—	19	1	no	—
526	C₂×C₁₉	—	4	1	no	—
527	C₂×C₁₉	—	4	1	no	—
528	C₂×C₁₉	—	4	1	no	—
529	C₂×C₁₉	—	4	1	no	—
530	C₂×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
531	C₂×C₁₉	#585	1	1	yes	characteristic
532	C₂×C₁₉	#585	1	1	yes	characteristic
533	D₁₉	—	4	1	no	—
534	D₁₉	—	4	1	no	—
535	D₁₉	—	4	1	no	—
536	D₁₉	—	4	1	no	—
537	D₁₉	—	4	1	no	—
538	C₂×#41	—	19	1	no	—
539	C₂×#41	—	19	1	no	—
540	C₂×#41	—	19	1	no	—
541	C₂×#41	—	19	1	no	—
542	C₂²×Q₈	—	19	1	no	—
543	C₂²×D₄	—	19	1	no	—
544	C₄⋊Q₈	—	19	1	no	—
545	C₄⋊Q₈	—	19	1	no	—
546	#127	—	19	1	no	—
547	#127	—	19	1	no	—
548	#127	—	19	1	no	—
549	#127	—	19	1	no	—
550	#126	—	19	1	no	—
551	#126	—	19	1	no	—
552	#126	—	19	1	no	—
553	#126	—	19	1	no	—
554	#126	—	19	1	no	—
555	#126	—	19	1	no	—
556	#126	—	19	1	no	—
557	#126	—	19	1	no	—
558	#126	—	19	1	no	—
559	#126	—	19	1	no	—
560	#126	C₂×D₁₉	1	1	yes	characteristic
561	#126	C₂×D₁₉	1	1	yes	characteristic
562	#125	—	19	1	no	—
563	#125	—	19	1	no	—
564	#125	—	19	1	no	—
565	#125	—	19	1	no	—
566	#125	—	19	1	no	—
567	#125	—	19	1	no	—
568	#124	—	19	1	no	—
569	#124	—	19	1	no	—
570	#124	—	19	1	no	—
571	#124	—	19	1	no	—
572	#124	—	19	1	no	—
573	#124	—	19	1	no	—
574	#124	—	19	1	no	—
575	#124	—	19	1	no	—
576	#124	—	19	1	no	—
577	#124	—	19	1	no	—
578	#124	—	19	1	no	—
579	#124	C₂×D₁₉	1	1	yes	characteristic
580	#123	—	19	1	no	—
581	#123	—	19	1	no	—
582	#123	—	19	1	no	—
583	#123	—	19	1	no	—
584	#123	—	19	1	no	—
585	#123	—	19	1	no	—
586	#123	—	19	1	no	—
587	#123	—	19	1	no	—
588	#123	—	19	1	no	—
589	#123	—	19	1	no	—
590	#123	—	19	1	no	—
591	#123	—	19	1	no	—
592	#123	—	19	1	no	—
593	#123	—	19	1	no	—
594	#123	—	19	1	no	—
595	#123	—	19	1	no	—
596	#123	—	19	1	no	—
597	#123	—	19	1	no	—
598	#123	—	19	1	no	—
599	#123	—	19	1	no	—
600	#123	—	19	1	no	—
601	#123	C₂×D₁₉	1	1	yes	characteristic
602	#123	C₂×D₁₉	1	1	yes	characteristic, complemented
603	#123	C₂×D₁₉	1	1	yes	characteristic, complemented
604	C₂²⋊Q₈	—	19	1	no	—
605	C₂²⋊Q₈	—	19	1	no	—
606	C₂²⋊Q₈	—	19	1	no	—
607	C₂²⋊Q₈	—	19	1	no	—
608	C₂²⋊Q₈	—	19	1	no	—
609	C₂²⋊Q₈	—	19	1	no	—
610	C₂²⋊Q₈	—	19	1	no	—
611	C₂²⋊Q₈	—	19	1	no	—
612	C₂²⋊Q₈	—	19	1	no	—
613	C₂²⋊Q₈	—	19	1	no	—
614	C₂²⋊Q₈	—	19	1	no	—
615	C₂²⋊Q₈	—	19	1	no	—
616	C₂²⋊Q₈	C₂×D₁₉	1	1	yes	characteristic, complemented
617	C₂²⋊Q₈	C₂×D₁₉	1	1	yes	characteristic, complemented
618	#121	—	19	1	no	—
619	#121	—	19	1	no	—
620	#121	—	19	1	no	—
621	#121	—	19	1	no	—
622	#121	—	19	1	no	—
623	#121	—	19	1	no	—
624	#121	—	19	1	no	—
625	#121	—	19	1	no	—
626	#121	—	19	1	no	—
627	#121	—	19	1	no	—
628	#121	—	19	1	no	—
629	#121	—	19	1	no	—
630	#121	—	19	1	no	—
631	#121	—	19	1	no	—
632	#121	—	19	1	no	—
633	#121	—	19	1	no	—
634	#121	—	19	1	no	—
635	#121	—	19	1	no	—
636	#121	—	19	1	no	—
637	#121	—	19	1	no	—
638	#121	—	19	1	no	—
639	#121	—	19	1	no	—
640	#121	—	19	1	no	—
641	#121	—	19	1	no	—
642	#121	—	19	1	no	—
643	#121	—	19	1	no	—
644	#121	—	19	1	no	—
645	#121	—	19	1	no	—
646	#121	—	19	1	no	—
647	#121	—	19	1	no	—
648	#120	—	19	1	no	—
649	#120	—	19	1	no	—
650	#120	—	19	1	no	—
651	#120	—	19	1	no	—
652	#120	—	19	1	no	—
653	#120	—	19	1	no	—
654	#120	—	19	1	no	—
655	#120	C₂×D₁₉	1	1	yes	characteristic
656	C₄×Q₈	—	19	1	no	—
657	C₄×Q₈	—	19	1	no	—
658	C₄×Q₈	—	19	1	no	—
659	C₄×Q₈	—	19	1	no	—
660	C₄×D₄	—	19	1	no	—
661	C₄×D₄	—	19	1	no	—
662	C₄×D₄	—	19	1	no	—
663	C₄×D₄	—	19	1	no	—
664	C₄×D₄	—	19	1	no	—
665	C₄×D₄	—	19	1	no	—
666	C₄×D₄	—	19	1	no	—
667	C₄×D₄	—	19	1	no	—
668	C₄×D₄	—	19	1	no	—
669	C₄×D₄	—	19	1	no	—
670	C₄×D₄	—	19	1	no	—
671	C₄×D₄	—	19	1	no	—
672	C₄×D₄	—	19	1	no	—
673	C₄×D₄	—	19	1	no	—
674	C₄×D₄	—	19	1	no	—
675	C₄×D₄	—	19	1	no	—
676	C₄×D₄	—	19	1	no	—
677	C₄×D₄	—	19	1	no	—
678	C₄×D₄	C₂×D₁₉	1	1	yes	characteristic, complemented
679	C₄×D₄	C₂×D₁₉	1	1	yes	characteristic, complemented
680	#117	—	19	1	no	—
681	#117	—	19	1	no	—
682	#117	—	19	1	no	—
683	#117	—	19	1	no	—
684	#117	C₂×D₁₉	1	1	yes	characteristic, complemented
685	#117	C₂×D₁₉	1	1	yes	characteristic, complemented
686	C₂×C₄⋊C₄	—	19	1	no	—
687	C₂×C₄⋊C₄	—	19	1	no	—
688	C₂×C₂²⋊C₄	—	19	1	no	—
689	C₂×C₂²⋊C₄	—	19	1	no	—
690	C₂×C₂²⋊C₄	C₂×D₁₉	1	1	yes	characteristic
691	C₂×C₂²⋊C₄	C₂×D₁₉	1	1	yes	characteristic
692	C₂×C₄²	—	19	1	no	—
693	C₁₉	#3562	1	1	yes	characteristic, complemented, Sylow
694	C₂⁴	—	19	1	no	—
695	C₂⁴	C₂²×D₁₉	1	1	yes	characteristic
696	#41	—	76	2	no	—
697	#41	—	76	2	no	—
698	#41	—	76	2	no	—
699	#41	—	76	2	no	—
700	C₂×Q₈	—	19	1	no	—
701	C₂×Q₈	—	19	1	no	—
702	C₂×Q₈	—	19	1	no	—
703	C₂×Q₈	—	19	1	no	—
704	C₂×Q₈	—	19	1	no	—
705	C₂×Q₈	—	76	2	no	—
706	C₂×Q₈	C₂²×D₁₉	1	1	yes	characteristic
707	C₂×D₄	—	19	1	no	—
708	C₂×D₄	—	19	1	no	—
709	C₂×D₄	—	19	1	no	—
710	C₂×D₄	—	19	1	no	—
711	C₂×D₄	—	19	1	no	—
712	C₂×D₄	—	19	1	no	—
713	C₂×D₄	—	19	1	no	—
714	C₂×D₄	—	19	1	no	—
715	C₂×D₄	—	19	1	no	—
716	C₂×D₄	—	19	1	no	—
717	C₂×D₄	—	19	1	no	—
718	C₂×D₄	—	19	1	no	—
719	C₂×D₄	—	19	1	no	—
720	C₂×D₄	—	19	1	no	—
721	C₂×D₄	—	19	1	no	—
722	C₂×D₄	—	19	1	no	—
723	C₂×D₄	—	19	1	no	—
724	C₂×D₄	—	19	1	no	—
725	C₂×D₄	—	19	1	no	—
726	C₂×D₄	—	19	1	no	—
727	C₂×D₄	—	19	1	no	—
728	C₂×D₄	—	19	1	no	—
729	C₂×D₄	—	19	1	no	—
730	C₂×D₄	—	19	1	no	—
731	C₂×D₄	—	19	1	no	—
732	C₂×D₄	—	19	1	no	—
733	C₂×D₄	—	19	1	no	—
734	C₂×D₄	—	76	2	no	—
735	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
736	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
737	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
738	C₂²×C₄	—	19	1	no	—
739	C₂²×C₄	—	19	1	no	—
740	C₂²×C₄	—	19	1	no	—
741	C₂²×C₄	—	19	1	no	—
742	C₂²×C₄	—	19	1	no	—
743	C₂²×C₄	—	19	1	no	—
744	C₂²×C₄	—	19	1	no	—
745	C₂²×C₄	—	19	1	no	—
746	C₂²×C₄	—	19	1	no	—
747	C₂²×C₄	—	19	1	no	—
748	C₂²×C₄	—	19	1	no	—
749	C₂²×C₄	—	19	1	no	—
750	C₂²×C₄	—	19	1	no	—
751	C₂²×C₄	—	19	1	no	—
752	C₂²×C₄	—	19	1	no	—
753	C₂²×C₄	—	19	1	no	—
754	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
755	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
756	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
757	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
758	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
759	C₄⋊C₄	—	19	1	no	—
760	C₄⋊C₄	—	19	1	no	—
761	C₄⋊C₄	—	19	1	no	—
762	C₄⋊C₄	—	19	1	no	—
763	C₄⋊C₄	—	19	1	no	—
764	C₄⋊C₄	—	19	1	no	—
765	C₄⋊C₄	—	19	1	no	—
766	C₄⋊C₄	—	19	1	no	—
767	C₄⋊C₄	—	19	1	no	—
768	C₄⋊C₄	—	19	1	no	—
769	C₄⋊C₄	—	19	1	no	—
770	C₄⋊C₄	—	19	1	no	—
771	C₄⋊C₄	—	19	1	no	—
772	C₄⋊C₄	—	19	1	no	—
773	C₄⋊C₄	—	19	1	no	—
774	C₄⋊C₄	—	19	1	no	—
775	C₄⋊C₄	—	19	1	no	—
776	C₄⋊C₄	—	19	1	no	—
777	C₄⋊C₄	—	19	1	no	—
778	C₄⋊C₄	—	19	1	no	—
779	C₄⋊C₄	—	19	1	no	—
780	C₄⋊C₄	—	19	1	no	—
781	C₄⋊C₄	—	19	1	no	—
782	C₄⋊C₄	—	19	1	no	—
783	C₄⋊C₄	—	19	1	no	—
784	C₄⋊C₄	—	19	1	no	—
785	C₄⋊C₄	—	19	1	no	—
786	C₄⋊C₄	—	19	1	no	—
787	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
788	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
789	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
790	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
791	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
792	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
793	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
794	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
795	C₂²⋊C₄	—	19	1	no	—
796	C₂²⋊C₄	—	19	1	no	—
797	C₂²⋊C₄	—	19	1	no	—
798	C₂²⋊C₄	—	19	1	no	—
799	C₂²⋊C₄	—	19	1	no	—
800	C₂²⋊C₄	—	19	1	no	—
801	C₂²⋊C₄	—	19	1	no	—
802	C₂²⋊C₄	—	19	1	no	—
803	C₂²⋊C₄	—	19	1	no	—
804	C₂²⋊C₄	—	19	1	no	—
805	C₂²⋊C₄	—	19	1	no	—
806	C₂²⋊C₄	—	19	1	no	—
807	C₂²⋊C₄	—	19	1	no	—
808	C₂²⋊C₄	—	19	1	no	—
809	C₂²⋊C₄	—	19	1	no	—
810	C₂²⋊C₄	—	19	1	no	—
811	C₂²⋊C₄	—	19	1	no	—
812	C₂²⋊C₄	—	19	1	no	—
813	C₂²⋊C₄	—	19	1	no	—
814	C₂²⋊C₄	—	19	1	no	—
815	C₂²⋊C₄	—	19	1	no	—
816	C₂²⋊C₄	—	19	1	no	—
817	C₂²⋊C₄	—	19	1	no	—
818	C₂²⋊C₄	—	19	1	no	—
819	C₂²⋊C₄	—	19	1	no	—
820	C₂²⋊C₄	—	19	1	no	—
821	C₂²⋊C₄	—	19	1	no	—
822	C₂²⋊C₄	—	19	1	no	—
823	C₂²⋊C₄	—	19	1	no	—
824	C₂²⋊C₄	—	19	1	no	—
825	C₂²⋊C₄	—	19	1	no	—
826	C₂²⋊C₄	—	19	1	no	—
827	C₂²⋊C₄	—	19	1	no	—
828	C₂²⋊C₄	—	19	1	no	—
829	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
830	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
831	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
832	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
833	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
834	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
835	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
836	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
837	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
838	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
839	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
840	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
841	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
842	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
843	C₄²	—	19	1	no	—
844	C₄²	—	19	1	no	—
845	C₄²	—	19	1	no	—
846	C₄²	—	19	1	no	—
847	C₄²	—	19	1	no	—
848	C₄²	—	19	1	no	—
849	C₄²	—	19	1	no	—
850	C₄²	—	19	1	no	—
851	C₄²	—	19	1	no	—
852	C₄²	C₂²×D₁₉	1	1	yes	characteristic
853	C₄²	C₂²×D₁₉	1	1	yes	characteristic
854	C₄²	C₂²×D₁₉	1	1	yes	characteristic
855	C₂³	—	4	1	no	—
856	C₂³	—	4	1	no	—
857	C₂³	—	4	1	no	—
858	C₂³	—	19	1	no	—
859	C₂³	—	19	1	no	—
860	C₂³	—	19	1	no	—
861	C₂³	—	19	1	no	—
862	C₂³	—	19	1	no	—
863	C₂³	—	76	1	no	—
864	C₂³	—	76	1	no	—
865	C₂³	—	76	1	no	—
866	C₂³	C₂³×D₁₉	1	1	yes	characteristic
867	C₂³	C₂³×D₁₉	1	1	yes	characteristic
868	C₂³	C₂³×D₁₉	1	1	yes	characteristic
869	C₂³	C₂³×D₁₉	1	1	yes	characteristic
870	Q₈	—	4	1	no	—
871	Q₈	—	38	2	no	—
872	Q₈	—	38	2	no	—
873	Q₈	—	38	2	no	—
874	Q₈	—	76	1	no	—
875	Q₈	—	76	1	no	—
876	D₄	—	4	1	no	—
877	D₄	—	4	1	no	—
878	D₄	—	4	1	no	—
879	D₄	—	38	2	no	—
880	D₄	—	38	2	no	—
881	D₄	—	38	2	no	—
882	D₄	—	76	1	no	—
883	D₄	—	76	1	no	—
884	D₄	—	76	1	no	—
885	D₄	—	76	1	no	—
886	D₄	—	76	1	no	—
887	D₄	—	76	1	no	—
888	D₄	—	76	1	no	—
889	D₄	—	76	1	no	—
890	D₄	—	76	1	no	—
891	D₄	—	76	1	no	—
892	D₄	—	76	1	no	—
893	D₄	—	76	1	no	—
894	D₄	—	76	1	no	—
895	D₄	—	76	1	no	—
896	D₄	—	76	1	no	—
897	D₄	—	76	1	no	—
898	D₄	—	76	1	no	—
899	D₄	—	76	1	no	—
900	D₄	—	76	1	no	—
901	D₄	—	76	1	no	—
902	D₄	—	76	1	no	—
903	D₄	—	76	1	no	—
904	D₄	—	76	1	no	—
905	D₄	—	76	1	no	—
906	C₂×C₄	—	4	1	no	—
907	C₂×C₄	—	4	1	no	—
908	C₂×C₄	—	4	1	no	—
909	C₂×C₄	—	4	1	no	—
910	C₂×C₄	—	4	1	no	—
911	C₂×C₄	—	19	1	no	—
912	C₂×C₄	—	19	1	no	—
913	C₂×C₄	—	19	1	no	—
914	C₂×C₄	—	19	1	no	—
915	C₂×C₄	—	19	1	no	—
916	C₂×C₄	—	19	1	no	—
917	C₂×C₄	—	19	1	no	—
918	C₂×C₄	—	19	1	no	—
919	C₂×C₄	—	19	1	no	—
920	C₂×C₄	—	19	1	no	—
921	C₂×C₄	—	19	1	no	—
922	C₂×C₄	—	38	2	no	—
923	C₂×C₄	—	38	2	no	—
924	C₂×C₄	—	38	2	no	—
925	C₂×C₄	—	76	1	no	—
926	C₂×C₄	—	76	1	no	—
927	C₂×C₄	—	76	1	no	—
928	C₂×C₄	—	76	1	no	—
929	C₂×C₄	—	76	1	no	—
930	C₂×C₄	—	76	1	no	—
931	C₂×C₄	—	76	1	no	—
932	C₂×C₄	—	76	1	no	—
933	C₂×C₄	—	76	1	no	—
934	C₂×C₄	—	76	1	no	—
935	C₂×C₄	—	76	1	no	—
936	C₂×C₄	—	76	1	no	—
937	C₂×C₄	—	76	1	no	—
938	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
939	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
940	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
941	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
942	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
943	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
944	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
945	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
946	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
947	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
948	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
949	C₂²	—	2	1	no	—
950	C₂²	—	2	1	no	—
951	C₂²	—	2	1	no	—
952	C₂²	—	2	1	no	—
953	C₂²	—	2	1	no	—
954	C₂²	—	2	1	no	—
955	C₂²	—	2	1	no	—
956	C₂²	—	2	1	no	—
957	C₂²	—	2	1	no	—
958	C₂²	—	2	1	no	—
959	C₂²	—	2	1	no	—
960	C₂²	—	2	1	no	—
961	C₂²	—	8	2	no	—
962	C₂²	—	38	1	no	—
963	C₂²	—	38	1	no	—
964	C₂²	—	38	1	no	—
965	C₂²	—	38	1	no	—
966	C₂²	—	38	1	no	—
967	C₂²	—	38	1	no	—
968	C₂²	—	38	1	no	—
969	C₂²	—	38	1	no	—
970	C₂²	—	38	1	no	—
971	C₂²	—	38	1	no	—
972	C₂²	—	38	1	no	—
973	C₂²	—	38	1	no	—
974	C₂²	—	38	1	no	—
975	C₂²	—	38	1	no	—
976	C₂²	—	38	1	no	—
977	C₂²	—	152	2	no	—
978	C₂²	C₂⁴×D₁₉	1	1	yes	characteristic
979	C₄	—	2	1	no	—
980	C₄	—	2	1	no	—
981	C₄	—	2	1	no	—
982	C₄	—	2	1	no	—
983	C₄	—	2	1	no	—
984	C₄	—	2	1	no	—
985	C₄	—	2	1	no	—
986	C₄	—	2	1	no	—
987	C₄	—	2	1	no	—
988	C₄	—	2	1	no	—
989	C₄	—	2	1	no	—
990	C₄	—	19	2	no	—
991	C₄	—	38	1	no	—
992	C₄	—	38	1	no	—
993	C₄	—	38	1	no	—
994	C₄	—	38	1	no	—
995	C₄	—	38	1	no	—
996	C₄	—	38	1	no	—
997	C₄	—	38	1	no	—
998	C₄	—	38	1	no	—
999	C₄	—	38	1	no	—
1000	C₄	—	38	1	no	—
1001	C₂	—	4	1	no	—
1002	C₂	—	4	1	no	—
1003	C₂	—	4	1	no	—
1004	C₂	—	4	1	no	—
1005	C₂	—	76	1	no	—
1006	C₂	—	76	1	no	—
1007	C₂	—	76	1	no	—
1008	C₂	—	76	1	no	—
1009	C₂	—	76	1	no	—
1010	C₂	H(5,𝔽₂)×D₁₉	1	1	yes	characteristic
1011	C₂	#11927380	1	1	yes	characteristic
1012	C₂	#11927380	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₁₉
commutator, socle, cosocle	C₂²×C₁₉	C₂⁵
Fitting	C₁₉×#551	C₂
hypercenter	#551	D₁₉
hypocenter	C₁₉	#3562
LCS	G ▷ C₂²×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂² ◁ #551

Complements

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

N	H ≅ G/N	type
1. #11927291	C₂	semidirect
2. #11927290	C₂	semidirect
3. #11927285	C₂	semidirect
4. #11927283	C₂	semidirect
5. #11927278	C₂	semidirect
6. #11927262	C₂	semidirect
7. #11927243	C₂	semidirect
8. #11927238	C₂	semidirect
9. #11927219	C₂	semidirect
10. #11927215	C₂	semidirect
11. #11927204	C₂	semidirect
12. #11927202	C₂	semidirect
13. #11927192	C₂	semidirect
14. #11927184	C₂	semidirect
15. #11927184	C₂	semidirect
16. #11927151	C₂	semidirect
17. #11927149	C₂	semidirect
18. #11927146	C₂	semidirect
19. #11927146	C₂	semidirect
20. #11927140	C₂	semidirect
21. #11927136	C₂	semidirect
22. #11927132	C₂	semidirect
23. #11927132	C₂	semidirect
24. #11927130	C₂	semidirect
25. #11927128	C₂	semidirect
26. #11927117	C₂	semidirect
27. #11927109	C₂	semidirect
28. #11927091	C₂	semidirect
29. #11927077	C₂	semidirect
30. #11927072	C₂	semidirect
31. C₁₉×#551	C₂	semidirect
33. C₂×Q₈×D₁₉	C₂²	semidirect
37. C₂×#64541	C₂²	semidirect
42. C₁₉×#123	C₂²	semidirect
43. C₁₉×#123	C₂²	semidirect
44. C₁₉×C₂²⋊Q₈	C₂²	semidirect
45. C₁₉×C₂²⋊Q₈	C₂²	semidirect
47. C₄×D₄×C₁₉	C₂²	semidirect
48. C₄×D₄×C₁₉	C₂²	semidirect
49. C₁₉×#117	C₂²	semidirect
50. C₁₉×#117	C₂²	semidirect
56. #10597393	C₂²	semidirect
57. #10597392	C₂²	semidirect
58. #10597392	C₂²	semidirect
61. #10597386	C₂²	semidirect
65. #10597385	C₂²	semidirect
67. #10597384	C₂²	semidirect
69. #10597381	C₂²	semidirect
72. #10597376	C₂²	semidirect
73. #10597376	C₂²	semidirect
74. #10597376	C₂²	semidirect
79. C₄×C₂²⋊D₁₉	C₂²	semidirect
80. C₄×C₂²⋊D₁₉	C₂²	semidirect
81. C₄×C₂²⋊D₁₉	C₂²	semidirect
82. C₄×C₂²⋊D₁₉	C₂²	semidirect
83. C₄×C₂²⋊D₁₉	C₂²	semidirect
84. #10597370	C₂²	semidirect
85. #10597370	C₂²	semidirect
86. C₂×Dic₁₉⋊C₄	C₂²	semidirect
87. #10597344	C₂²	semidirect
88. #10597343	C₂²	semidirect
89. #10597343	C₂²	semidirect
90. #10597342	C₂²	semidirect
91. #10597342	C₂²	semidirect
92. #10597342	C₂²	semidirect
93. #10597341	C₂²	semidirect
94. #10597341	C₂²	semidirect
95. #10597341	C₂²	semidirect
96. #10597340	C₂²	semidirect
97. #10597340	C₂²	semidirect
98. #10597340	C₂²	semidirect
99. #10597340	C₂²	semidirect
100. #10597340	C₂²	semidirect
101. #10597340	C₂²	semidirect
102. #10597340	C₂²	semidirect
103. #10597340	C₂²	semidirect
104. #10597339	C₂²	semidirect
105. #10597339	C₂²	semidirect
106. #10597339	C₂²	semidirect
107. #10597338	C₂²	semidirect
108. #10597338	C₂²	semidirect
109. C₄⋊C₄×D₁₉	C₂²	semidirect
110. #10597336	C₂²	semidirect
111. #10597335	C₂²	semidirect
112. #10597335	C₂²	semidirect
113. #10597335	C₂²	semidirect
114. #10597335	C₂²	semidirect
115. #10597334	C₂²	semidirect
116. #10597334	C₂²	semidirect
117. #10597333	C₂²	semidirect
118. #10597333	C₂²	semidirect
119. #10597332	C₂²	semidirect
120. #10597332	C₂²	semidirect
127. #10597331	C₂²	semidirect
128. #10597331	C₂²	semidirect
129. #10597331	C₂²	semidirect
130. #10597331	C₂²	semidirect
140. #10597330	C₂²	semidirect
141. #10597330	C₂²	semidirect
142. #10597330	C₂²	semidirect
143. #10597330	C₂²	semidirect
144. #10597330	C₂²	semidirect
145. #10597330	C₂²	semidirect
146. #10597330	C₂²	semidirect
151. #10597329	C₂²	semidirect
152. #10597329	C₂²	semidirect
153. #10597329	C₂²	semidirect
154. #10597329	C₂²	semidirect
160. (C₂²⋊D₁₉)⋊C₄	C₂²	semidirect
161. (C₂²⋊D₁₉)⋊C₄	C₂²	semidirect
162. (C₂²⋊D₁₉)⋊C₄	C₂²	semidirect
168. #10597325	C₂²	semidirect
169. #10597325	C₂²	semidirect
170. #10597325	C₂²	semidirect
173. #10597324	C₂²	semidirect
175. #10597322	C₂²	semidirect
176. #10597322	C₂²	semidirect
177. #10597322	C₂²	semidirect
178. #10597320	C₂²	semidirect
179. C₄×D₇₆	C₂²	semidirect
180. C₄×D₇₆	C₂²	semidirect
181. C₄×D₇₆	C₂²	semidirect
182. #10597318	C₂²	semidirect
183. C₄²×D₁₉	C₂²	semidirect
184. #10597316	C₂²	semidirect
185. C₄×Dic₃₈	C₂²	semidirect
186. C₄×Dic₃₈	C₂²	semidirect
504. #551	D₁₉	semidirect
602. #123	C₂×D₁₉	semidirect
603. #123	C₂×D₁₉	semidirect
616. C₂²⋊Q₈	C₂×D₁₉	semidirect
617. C₂²⋊Q₈	C₂×D₁₉	semidirect
678. C₄×D₄	C₂×D₁₉	semidirect
679. C₄×D₄	C₂×D₁₉	semidirect
684. #117	C₂×D₁₉	semidirect
685. #117	C₂×D₁₉	semidirect
693. C₁₉	#3562	semidirect

Maximal subgroups

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

subgroup	index
#11927291	2
#11927290	2
#11927285	2
#11927283	2
#11927278	2
#11927262	2
#11927243	2
#11927238	2
#11927219	2
#11927215	2
#11927204	2
#11927202	2
#11927192	2
#11927184	2
#11927151	2
#11927149	2
#11927146	2
#11927140	2
#11927136	2
#11927132	2
#11927130	2
#11927128	2
#11927117	2
#11927109	2
#11927091	2
#11927077	2
#11927072	2
C₁₉×#551	2
#3562	19