Subgroups — C₁₉×#62857 #18068816

Order 4864.

7082 conjugacy classes of subgroups.

The subgroup lattice has 1346 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3524	C₂	1	2	yes	maximal, complemented
2	C₁₉×#3522	C₂	1	2	yes	maximal, complemented
3	C₁₉×#3521	C₂	1	6	yes	maximal, complemented
4	C₁₉×#3520	C₂	1	6	yes	maximal, complemented
5	C₁₉×#3518	C₂	1	2	yes	maximal, complemented
6	C₁₉×#3516	C₂	1	2	yes	maximal, complemented
7	C₁₉×#3514	C₂	1	6	yes	maximal, complemented
8	C₁₉×#3513	C₂	1	6	yes	maximal, complemented
9	C₁₉×#3511	C₂	1	3	yes	maximal, complemented
10	C₁₉×#3510	C₂	1	3	yes	maximal, complemented
11	C₁₉×#3503	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₉×#3500	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×#3495	C₂	1	3	yes	maximal, complemented
14	C₁₉×#3494	C₂	1	3	yes	maximal, complemented
15	C₁₉×#3489	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₉×#3488	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₉×#3461	C₂	1	3	yes	maximal, complemented
18	C₁₉×#3460	C₂	1	3	yes	maximal, complemented
19	C₁₉×#3455	C₂	1	3	yes	maximal, complemented
20	C₂×C₁₉×#542	C₂	1	3	yes	maximal, complemented
21	C₄×C₁₉×2₋¹⁺⁴	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×C₁₉×H(5,𝔽₂)	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₉×#3428	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₉×2₋¹⁺⁴	C₂²	1	1	yes	characteristic
25	C₂×C₁₉×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
26	C₂²×#41×C₁₉	C₂²	1	1	yes	characteristic
27	C₁₉×#559	C₂²	1	6	yes	complemented
28	C₁₉×#559	C₂²	1	6	yes	complemented
29	Q₈²×C₁₉	C₂²	1	2	yes	complemented
30	C₁₉×#557	C₂²	1	2	yes	complemented
31	C₁₉×#556	C₂²	1	6	yes	complemented
32	C₁₉×#556	C₂²	1	6	yes	complemented
33	C₁₉×#556	C₂²	1	6	yes	complemented
34	C₁₉×#556	C₂²	1	6	yes	complemented
35	C₁₉×#555	C₂²	1	6	yes	complemented
36	C₁₉×#555	C₂²	1	6	yes	complemented
37	C₁₉×#554	C₂²	1	6	yes	complemented
38	C₁₉×#554	C₂²	1	6	yes	complemented
39	C₁₉×#554	C₂²	1	6	yes	complemented
40	C₁₉×#553	C₂²	1	6	yes	complemented
41	C₁₉×#553	C₂²	1	6	yes	complemented
42	C₁₉×#553	C₂²	1	12	yes	complemented
43	C₁₉×#552	C₂²	1	6	yes	complemented
44	C₁₉×#552	C₂²	1	12	yes	complemented
45	C₁₉×#552	C₂²	1	6	yes	complemented
46	C₁₉×#551	C₂²	1	12	yes	complemented
47	C₁₉×#551	C₂²	1	12	yes	complemented
48	C₁₉×#551	C₂²	1	12	yes	complemented
49	C₁₉×#551	C₂²	1	12	yes	complemented
50	C₁₉×#550	C₂²	1	2	yes	—
51	D₄×Q₈×C₁₉	C₂²	1	2	yes	complemented
52	D₄×Q₈×C₁₉	C₂²	1	6	yes	complemented
53	C₁₉×#548	C₂²	1	2	yes	—
54	C₁₉×#548	C₂²	1	2	yes	complemented
55	C₁₉×#548	C₂²	1	2	yes	complemented
56	C₁₉×#548	C₂²	1	2	yes	complemented
57	C₁₉×#548	C₂²	1	12	yes	complemented
58	C₁₉×#547	C₂²	1	6	yes	complemented
59	C₁₉×#547	C₂²	1	6	yes	complemented
60	C₁₉×#547	C₂²	1	6	yes	complemented
61	C₁₉×#546	C₂²	1	6	yes	—
62	C₁₉×#546	C₂²	1	6	yes	complemented
63	C₁₉×#546	C₂²	1	12	yes	complemented
64	C₁₉×#546	C₂²	1	6	yes	complemented
65	C₁₉×#546	C₂²	1	6	yes	complemented
66	D₄²×C₁₉	C₂²	1	6	yes	—
67	C₁₉×#544	C₂²	1	3	yes	complemented
68	C₁₉×#544	C₂²	1	3	yes	complemented
69	C₁₉×#542	C₂²	1	3	yes	complemented
70	C₁₉×#542	C₂²	1	6	yes	complemented
71	C₁₉×#542	C₂²	1	6	yes	complemented
72	C₁₉×#542	C₂²	1	6	yes	complemented
73	C₁₉×#542	C₂²	1	6	yes	complemented
74	C₁₉×#542	C₂²	1	6	yes	complemented
75	C₁₉×#542	C₂²	1	6	yes	complemented
76	C₁₉×#542	C₂²	1	6	yes	complemented
77	C₁₉×#542	C₂²	1	1	yes	characteristic, complemented
78	C₁₉×#542	C₂²	1	3	yes	complemented
79	C₁₉×#542	C₂²	1	3	yes	complemented
80	C₁₉×#542	C₂²	1	6	yes	complemented
81	C₁₉×#542	C₂²	1	6	yes	complemented
82	C₁₉×#541	C₂²	1	3	yes	complemented
83	C₁₉×#541	C₂²	1	3	yes	complemented
84	C₁₉×#541	C₂²	1	6	yes	complemented
85	C₁₉×#540	C₂²	1	3	yes	complemented
86	C₁₉×#540	C₂²	1	3	yes	complemented
87	C₁₉×#540	C₂²	1	6	yes	complemented
88	C₁₉×#539	C₂²	1	6	yes	complemented
89	C₁₉×#539	C₂²	1	6	yes	complemented
90	C₁₉×#539	C₂²	1	12	yes	complemented
91	C₁₉×#538	C₂²	1	6	yes	complemented
92	C₁₉×#538	C₂²	1	6	yes	complemented
93	C₁₉×#538	C₂²	1	12	yes	complemented
94	C₁₉×#537	C₂²	1	3	yes	—
95	C₁₉×#537	C₂²	1	3	yes	complemented
96	C₁₉×#536	C₂²	1	3	yes	complemented
97	C₁₉×#536	C₂²	1	3	yes	complemented
98	C₁₉×#535	C₂²	1	3	yes	—
99	C₁₉×#535	C₂²	1	3	yes	complemented
100	C₁₉×#533	C₂²	1	3	yes	complemented
101	C₁₉×#533	C₂²	1	6	yes	complemented
102	C₁₉×#533	C₂²	1	6	yes	complemented
103	C₁₉×#532	C₂²	1	3	yes	complemented
104	C₁₉×#532	C₂²	1	6	yes	complemented
105	C₁₉×#532	C₂²	1	6	yes	complemented
106	C₂×C₁₉×C₄⋊Q₈	C₂²	1	3	yes	complemented
107	C₁₉×#529	C₂²	1	6	yes	complemented
108	C₁₉×#529	C₂²	1	6	yes	complemented
109	C₁₉×#529	C₂²	1	6	yes	complemented
110	C₁₉×#529	C₂²	1	6	yes	complemented
111	C₁₉×#529	C₂²	1	6	yes	complemented
112	C₁₉×#529	C₂²	1	6	yes	complemented
113	C₁₉×#529	C₂²	1	6	yes	complemented
114	C₁₉×#529	C₂²	1	6	yes	complemented
115	C₁₉×#529	C₂²	1	12	yes	complemented
116	C₂×C₁₉×#126	C₂²	1	6	yes	complemented
117	C₂×C₁₉×#124	C₂²	1	3	yes	complemented
118	C₂×C₁₉×#124	C₂²	1	6	yes	complemented
119	C₁₉×#525	C₂²	1	3	yes	—
120	C₁₉×#525	C₂²	1	3	yes	complemented
121	C₁₉×#525	C₂²	1	12	yes	complemented
122	C₂×C₁₉×#123	C₂²	1	6	yes	complemented
123	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	3	yes	complemented
124	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	6	yes	complemented
125	C₂×C₁₉×#121	C₂²	1	3	yes	—
126	C₁₉×#520	C₂²	1	1	yes	characteristic
127	C₁₉×#520	C₂²	1	1	yes	characteristic
128	C₁₉×#520	C₂²	1	3	yes	complemented
129	C₁₉×#520	C₂²	1	3	yes	complemented
130	C₁₉×#520	C₂²	1	1	yes	characteristic, complemented
131	C₁₉×#520	C₂²	1	1	yes	characteristic, complemented
132	C₁₉×#520	C₂²	1	3	yes	complemented
133	C₁₉×#520	C₂²	1	2	yes	complemented
134	C₁₉×#520	C₂²	1	3	yes	complemented
135	C₁₉×#520	C₂²	1	6	yes	complemented
136	C₁₉×#519	C₂²	1	1	yes	characteristic, complemented
137	C₁₉×#519	C₂²	1	1	yes	characteristic, complemented
138	C₁₉×#519	C₂²	1	3	yes	complemented
139	C₁₉×#519	C₂²	1	2	yes	complemented
140	C₁₉×#518	C₂²	1	3	yes	complemented
141	C₁₉×#518	C₂²	1	3	yes	complemented
142	C₁₉×#518	C₂²	1	3	yes	complemented
143	C₁₉×#518	C₂²	1	6	yes	complemented
144	C₄×#41×C₁₉	C₂²	1	1	yes	characteristic
145	C₄×#41×C₁₉	C₂²	1	1	yes	characteristic
146	C₄×#41×C₁₉	C₂²	1	3	yes	complemented
147	C₄×#41×C₁₉	C₂²	1	3	yes	complemented
148	C₄×#41×C₁₉	C₂²	1	3	yes	complemented
149	C₄×#41×C₁₉	C₂²	1	2	yes	complemented
150	C₄×#41×C₁₉	C₂²	1	3	yes	complemented
151	C₄×#41×C₁₉	C₂²	1	6	yes	complemented
152	C₂×C₄×Q₈×C₁₉	C₂²	1	3	yes	complemented
153	C₂×C₄×Q₈×C₁₉	C₂²	1	2	yes	complemented
154	C₂×C₄×D₄×C₁₉	C₂²	1	3	yes	complemented
155	C₂×C₄×D₄×C₁₉	C₂²	1	6	yes	complemented
156	C₂×C₁₉×#117	C₂²	1	3	yes	complemented
157	C₂×C₁₉×#117	C₂²	1	3	yes	complemented
158	C₁₉×2₋¹⁺⁴	—	2	8	no	—
159	C₁₉×H(5,𝔽₂)	—	2	8	no	—
160	C₂×#41×C₁₉	—	2	8	no	—
161	C₂×#41×C₁₉	C₂³	1	3	yes	—
162	C₂×#41×C₁₉	C₂³	1	3	yes	—
163	C₂×#41×C₁₉	C₂³	1	3	yes	—
164	C₂×#41×C₁₉	C₂³	1	6	yes	—
165	C₂×#41×C₁₉	C₂³	1	2	yes	—
166	C₂×#41×C₁₉	C₂³	1	3	yes	—
167	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
168	C₂×#41×C₁₉	C₂³	1	12	yes	—
169	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
170	C₂²×Q₈×C₁₉	C₂³	1	3	yes	—
171	C₂²×Q₈×C₁₉	C₂³	1	2	yes	—
172	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic
173	C₂²×Q₈×C₁₉	C₂³	1	6	yes	—
174	C₂²×D₄×C₁₉	C₂³	1	3	yes	—
175	C₂²×D₄×C₁₉	C₂³	1	6	yes	—
176	C₂²×D₄×C₁₉	C₂³	1	3	yes	—
177	C₂²×D₄×C₁₉	C₂³	1	6	yes	—
178	C₂³×C₄×C₁₉	C₂³	1	3	yes	—
179	C₂³×C₄×C₁₉	C₂³	1	6	yes	—
180	C₁₉×C₄⋊Q₈	C₂³	1	3	yes	—
181	C₁₉×C₄⋊Q₈	C₂³	1	6	yes	—
182	C₁₉×C₄⋊Q₈	C₂³	1	6	yes	—
183	C₁₉×C₄⋊Q₈	C₂³	1	6	yes	—
184	C₁₉×C₄⋊Q₈	C₂³	1	3	yes	—
185	C₁₉×C₄⋊Q₈	C₂³	1	6	yes	—
186	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
187	C₁₉×C₄⋊Q₈	C₂³	1	6	yes	—
188	C₁₉×C₄⋊Q₈	C₂³	1	6	yes	—
189	C₁₉×#127	C₂³	1	3	yes	—
190	C₁₉×#127	C₂³	1	6	yes	—
191	C₁₉×#126	C₂³	1	6	yes	—
192	C₁₉×#126	C₂³	1	12	yes	—
193	C₁₉×#126	C₂³	1	12	yes	—
194	C₁₉×#126	C₂³	1	12	yes	—
195	C₁₉×#126	C₂³	1	6	yes	—
196	C₁₉×#126	C₂³	1	6	yes	—
197	C₁₉×#126	C₂³	1	2	yes	—
198	C₁₉×#126	C₂³	1	6	yes	—
199	C₁₉×#126	C₂³	1	6	yes	—
200	C₁₉×#126	C₂³	1	12	yes	—
201	C₁₉×#126	C₂³	1	12	yes	—
202	C₁₉×#126	C₂³	1	6	yes	—
203	C₁₉×#126	C₂³	1	6	yes	—
204	C₁₉×#125	C₂³	1	6	yes	—
205	C₁₉×#125	C₂³	1	3	yes	—
206	C₁₉×#125	C₂³	1	3	yes	—
207	C₁₉×#125	C₂³	1	6	yes	—
208	C₁₉×#125	C₂³	1	6	yes	—
209	C₁₉×#125	C₂³	1	6	yes	—
210	C₁₉×#125	C₂³	1	6	yes	—
211	C₁₉×#125	C₂³	1	6	yes	—
212	C₁₉×#125	C₂³	1	12	yes	—
213	C₁₉×#124	C₂³	1	6	yes	—
214	C₁₉×#124	C₂³	1	3	yes	—
215	C₁₉×#124	C₂³	1	6	yes	—
216	C₁₉×#124	C₂³	1	12	yes	—
217	C₁₉×#124	C₂³	1	6	yes	—
218	C₁₉×#124	C₂³	1	6	yes	—
219	C₁₉×#124	C₂³	1	12	yes	—
220	C₁₉×#124	C₂³	1	12	yes	—
221	C₁₉×#124	C₂³	1	2	yes	—
222	C₁₉×#124	C₂³	1	6	yes	—
223	C₁₉×#124	C₂³	1	6	yes	—
224	C₁₉×#124	C₂³	1	6	yes	—
225	C₁₉×#124	C₂³	1	6	yes	—
226	C₁₉×#124	C₂³	1	1	yes	characteristic
227	C₁₉×#124	C₂³	1	12	yes	—
228	C₁₉×#123	C₂³	1	6	yes	—
229	C₁₉×#123	C₂³	1	12	yes	—
230	C₁₉×#123	C₂³	1	12	yes	—
231	C₁₉×#123	C₂³	1	12	yes	—
232	C₁₉×#123	C₂³	1	6	yes	—
233	C₁₉×#123	C₂³	1	6	yes	—
234	C₁₉×#123	C₂³	1	6	yes	—
235	C₁₉×#123	C₂³	1	2	yes	—
236	C₁₉×#123	C₂³	1	6	yes	—
237	C₁₉×#123	C₂³	1	12	yes	—
238	C₁₉×#123	C₂³	1	12	yes	—
239	C₁₉×#123	C₂³	1	12	yes	—
240	C₁₉×#123	C₂³	1	6	yes	—
241	C₁₉×#123	C₂³	1	6	yes	—
242	C₁₉×#123	C₂³	1	6	yes	—
243	C₁₉×#123	C₂³	1	6	yes	—
244	C₁₉×#123	C₂³	1	12	yes	—
245	C₁₉×C₂²⋊Q₈	C₂³	1	3	yes	—
246	C₁₉×C₂²⋊Q₈	C₂³	1	6	yes	—
247	C₁₉×C₂²⋊Q₈	C₂³	1	12	yes	—
248	C₁₉×C₂²⋊Q₈	C₂³	1	6	yes	—
249	C₁₉×C₂²⋊Q₈	C₂³	1	6	yes	—
250	C₁₉×C₂²⋊Q₈	C₂³	1	6	yes	—
251	C₁₉×C₂²⋊Q₈	C₂³	1	12	yes	—
252	C₁₉×C₂²⋊Q₈	C₂³	1	12	yes	—
253	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
254	C₁₉×C₂²⋊Q₈	C₂³	1	3	yes	—
255	C₁₉×C₂²⋊Q₈	C₂³	1	3	yes	—
256	C₁₉×C₂²⋊Q₈	C₂³	1	12	yes	—
257	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
258	C₁₉×C₂²⋊Q₈	C₂³	1	6	yes	—
259	C₁₉×C₂²⋊Q₈	C₂³	1	6	yes	—
260	C₁₉×C₂²⋊Q₈	C₂³	1	6	yes	—
261	C₁₉×C₂²⋊Q₈	C₂³	1	6	yes	—
262	C₁₉×C₂²⋊Q₈	C₂³	1	12	yes	—
263	C₁₉×C₂²⋊Q₈	C₂³	1	6	yes	—
264	C₁₉×C₂²⋊Q₈	C₂³	1	6	yes	—
265	C₁₉×C₂²⋊Q₈	C₂³	1	6	yes	—
266	C₁₉×C₂²⋊Q₈	C₂³	1	6	yes	—
267	C₁₉×C₂²⋊Q₈	C₂³	1	12	yes	—
268	C₁₉×#121	C₂³	1	3	yes	—
269	C₁₉×#121	C₂³	1	6	yes	—
270	C₁₉×#121	C₂³	1	6	yes	—
271	C₁₉×#121	C₂³	1	6	yes	—
272	C₁₉×#121	C₂³	1	3	yes	—
273	C₁₉×#121	C₂³	1	1	yes	characteristic
274	C₁₉×#121	C₂³	1	6	yes	—
275	C₁₉×#121	C₂³	1	3	yes	—
276	C₁₉×#121	C₂³	1	12	yes	—
277	C₁₉×#121	C₂³	1	6	yes	—
278	C₁₉×#121	C₂³	1	6	yes	—
279	C₁₉×#121	C₂³	1	12	yes	—
280	C₁₉×#121	C₂³	1	6	yes	—
281	C₁₉×#121	C₂³	1	6	yes	—
282	C₁₉×#121	C₂³	1	6	yes	—
283	C₁₉×#121	C₂³	1	6	yes	—
284	C₁₉×#121	C₂³	1	6	yes	—
285	C₁₉×#121	C₂³	1	6	yes	—
286	C₁₉×#121	C₂³	1	6	yes	—
287	C₁₉×#121	C₂³	1	12	yes	—
288	C₁₉×#120	C₂³	1	6	yes	—
289	C₁₉×#120	C₂³	1	12	yes	—
290	C₁₉×#120	C₂³	1	12	yes	—
291	C₁₉×#120	C₂³	1	6	yes	—
292	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
293	C₄×Q₈×C₁₉	C₂³	1	3	yes	—
294	C₄×Q₈×C₁₉	C₂³	1	6	yes	—
295	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
296	C₄×Q₈×C₁₉	C₂³	1	6	yes	—
297	C₄×Q₈×C₁₉	C₂³	1	6	yes	—
298	C₄×Q₈×C₁₉	C₂³	1	6	yes	—
299	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
300	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
301	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
302	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
303	C₄×Q₈×C₁₉	C₂³	1	3	yes	—
304	C₄×Q₈×C₁₉	C₂³	1	6	yes	—
305	C₄×Q₈×C₁₉	C₂³	1	3	yes	—
306	C₄×Q₈×C₁₉	C₂³	1	3	yes	—
307	C₄×Q₈×C₁₉	C₂³	1	3	yes	—
308	C₄×Q₈×C₁₉	C₂³	1	3	yes	—
309	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
310	C₄×Q₈×C₁₉	C₂³	1	3	yes	—
311	C₄×Q₈×C₁₉	C₂³	1	6	yes	—
312	C₄×Q₈×C₁₉	C₂³	1	6	yes	—
313	C₄×Q₈×C₁₉	C₂³	1	12	yes	—
314	C₄×D₄×C₁₉	C₂³	1	3	yes	—
315	C₄×D₄×C₁₉	C₂³	1	6	yes	—
316	C₄×D₄×C₁₉	C₂³	1	3	yes	—
317	C₄×D₄×C₁₉	C₂³	1	6	yes	—
318	C₄×D₄×C₁₉	C₂³	1	6	yes	—
319	C₄×D₄×C₁₉	C₂³	1	6	yes	—
320	C₄×D₄×C₁₉	C₂³	1	6	yes	—
321	C₄×D₄×C₁₉	C₂³	1	6	yes	—
322	C₄×D₄×C₁₉	C₂³	1	12	yes	—
323	C₄×D₄×C₁₉	C₂³	1	3	yes	—
324	C₄×D₄×C₁₉	C₂³	1	3	yes	—
325	C₄×D₄×C₁₉	C₂³	1	3	yes	—
326	C₄×D₄×C₁₉	C₂³	1	6	yes	—
327	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
328	C₄×D₄×C₁₉	C₂³	1	6	yes	—
329	C₄×D₄×C₁₉	C₂³	1	3	yes	—
330	C₄×D₄×C₁₉	C₂³	1	6	yes	—
331	C₄×D₄×C₁₉	C₂³	1	6	yes	—
332	C₄×D₄×C₁₉	C₂³	1	6	yes	—
333	C₄×D₄×C₁₉	C₂³	1	3	yes	—
334	C₄×D₄×C₁₉	C₂³	1	3	yes	—
335	C₄×D₄×C₁₉	C₂³	1	3	yes	—
336	C₄×D₄×C₁₉	C₂³	1	6	yes	—
337	C₄×D₄×C₁₉	C₂³	1	6	yes	—
338	C₄×D₄×C₁₉	C₂³	1	3	yes	—
339	C₄×D₄×C₁₉	C₂³	1	6	yes	—
340	C₄×D₄×C₁₉	C₂³	1	6	yes	—
341	C₄×D₄×C₁₉	C₂³	1	3	yes	—
342	C₄×D₄×C₁₉	C₂³	1	12	yes	—
343	C₄×D₄×C₁₉	C₂³	1	6	yes	—
344	C₄×D₄×C₁₉	C₂³	1	6	yes	—
345	C₄×D₄×C₁₉	C₂³	1	6	yes	—
346	C₄×D₄×C₁₉	C₂³	1	6	yes	—
347	C₄×D₄×C₁₉	C₂³	1	12	yes	—
348	C₄×D₄×C₁₉	C₂³	1	12	yes	—
349	C₄×D₄×C₁₉	C₂³	1	12	yes	—
350	C₄×D₄×C₁₉	C₂³	1	6	yes	—
351	C₄×D₄×C₁₉	C₂³	1	6	yes	—
352	C₁₉×#117	C₂³	1	3	yes	—
353	C₁₉×#117	C₂³	1	1	yes	characteristic
354	C₁₉×#117	C₂³	1	3	yes	—
355	C₁₉×#117	C₂³	1	3	yes	—
356	C₁₉×#117	C₂³	1	3	yes	—
357	C₁₉×#117	C₂³	1	3	yes	—
358	C₁₉×#117	C₂³	1	3	yes	—
359	C₁₉×#117	C₂³	1	3	yes	—
360	C₁₉×#117	C₂³	1	3	yes	—
361	C₁₉×#117	C₂³	1	3	yes	—
362	C₁₉×#117	C₂³	1	3	yes	—
363	C₁₉×#117	C₂³	1	3	yes	—
364	C₁₉×#117	C₂³	1	6	yes	—
365	C₁₉×#117	C₂³	1	3	yes	—
366	C₁₉×#117	C₂³	1	6	yes	—
367	C₁₉×#117	C₂³	1	6	yes	—
368	C₁₉×#117	C₂³	1	3	yes	—
369	C₁₉×#117	C₂³	1	6	yes	—
370	C₁₉×#117	C₂³	1	12	yes	—
371	C₁₉×#117	C₂³	1	6	yes	—
372	C₁₉×#117	C₂³	1	12	yes	—
373	C₁₉×#117	C₂³	1	12	yes	—
374	C₁₉×#117	C₂³	1	12	yes	—
375	C₂×C₄⋊C₄×C₁₉	C₂³	1	3	yes	—
376	C₂×C₄⋊C₄×C₁₉	C₂³	1	3	yes	—
377	C₂×C₄⋊C₄×C₁₉	C₂³	1	3	yes	—
378	C₂×C₄⋊C₄×C₁₉	C₂³	1	3	yes	—
379	C₂×C₄⋊C₄×C₁₉	C₂³	1	3	yes	—
380	C₂×C₄⋊C₄×C₁₉	C₂³	1	6	yes	—
381	C₂×C₄⋊C₄×C₁₉	C₂³	1	3	yes	—
382	C₂×C₄⋊C₄×C₁₉	C₂³	1	6	yes	—
383	C₂×C₄⋊C₄×C₁₉	C₂³	1	6	yes	—
384	C₂×C₄⋊C₄×C₁₉	C₂³	1	6	yes	—
385	C₂×C₄⋊C₄×C₁₉	C₂³	1	6	yes	—
386	C₂×C₂²⋊C₄×C₁₉	C₂³	1	3	yes	—
387	C₂×C₂²⋊C₄×C₁₉	C₂³	1	3	yes	—
388	C₂×C₂²⋊C₄×C₁₉	C₂³	1	6	yes	—
389	C₂×C₂²⋊C₄×C₁₉	C₂³	1	6	yes	—
390	C₂×C₂²⋊C₄×C₁₉	C₂³	1	12	yes	—
391	C₂×C₂²⋊C₄×C₁₉	C₂³	1	6	yes	—
392	C₂×C₂²⋊C₄×C₁₉	C₂³	1	6	yes	—
393	C₂×C₂²⋊C₄×C₁₉	C₂³	1	6	yes	—
394	C₂×C₂²⋊C₄×C₁₉	C₂³	1	6	yes	—
395	C₂×C₄²×C₁₉	C₂³	1	3	yes	—
396	C₂×C₄²×C₁₉	C₂³	1	3	yes	—
397	C₂×C₄²×C₁₉	C₂³	1	6	yes	—
398	C₂×C₄²×C₁₉	C₂³	1	6	yes	—
399	C₂×C₄²×C₁₉	C₂³	1	6	yes	—
400	C₂×C₄²×C₁₉	C₂³	1	6	yes	—
401	C₂⁴×C₁₉	C₂⁴	1	3	yes	—
402	C₂⁴×C₁₉	C₂⁴	1	6	yes	—
403	#41×C₁₉	—	2	4	no	—
404	#41×C₁₉	—	2	8	no	—
405	#41×C₁₉	—	2	12	no	—
406	#41×C₁₉	—	2	24	no	—
407	#41×C₁₉	—	2	12	no	—
408	#41×C₁₉	—	2	12	no	—
409	#41×C₁₉	—	2	12	no	—
410	#41×C₁₉	—	8	12	no	—
411	#41×C₁₉	#41	1	8	yes	complemented
412	C₂×Q₈×C₁₉	—	2	4	no	—
413	C₂×Q₈×C₁₉	—	2	8	no	—
414	C₂×Q₈×C₁₉	—	2	12	no	—
415	C₂×Q₈×C₁₉	—	8	6	no	—
416	C₂×Q₈×C₁₉	C₂⁴	1	3	yes	—
417	C₂×Q₈×C₁₉	C₂⁴	1	6	yes	—
418	C₂×Q₈×C₁₉	C₂⁴	1	3	yes	—
419	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
420	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
421	C₂×Q₈×C₁₉	C₂⁴	1	6	yes	—
422	C₂×Q₈×C₁₉	C₂⁴	1	12	yes	—
423	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
424	C₂×D₄×C₁₉	—	2	12	no	—
425	C₂×D₄×C₁₉	—	2	24	no	—
426	C₂×D₄×C₁₉	—	2	12	no	—
427	C₂×D₄×C₁₉	—	8	6	no	—
428	C₂×D₄×C₁₉	C₂⁴	1	6	yes	—
429	C₂×D₄×C₁₉	C₂⁴	1	6	yes	—
430	C₂×D₄×C₁₉	C₂⁴	1	6	yes	—
431	C₂×D₄×C₁₉	C₂⁴	1	3	yes	—
432	C₂×D₄×C₁₉	C₂⁴	1	6	yes	—
433	C₂×D₄×C₁₉	C₂⁴	1	3	yes	—
434	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
435	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
436	C₂×D₄×C₁₉	C₂⁴	1	6	yes	—
437	C₂×D₄×C₁₉	C₂⁴	1	6	yes	—
438	C₂×D₄×C₁₉	C₂⁴	1	6	yes	—
439	C₂×D₄×C₁₉	C₂⁴	1	6	yes	—
440	C₂×D₄×C₁₉	C₂⁴	1	6	yes	—
441	C₂×D₄×C₁₉	C₂⁴	1	12	yes	—
442	C₂×D₄×C₁₉	C₂⁴	1	3	yes	—
443	C₂²×C₄×C₁₉	—	2	12	no	—
444	C₂²×C₄×C₁₉	—	8	6	no	—
445	C₂²×C₄×C₁₉	C₂⁴	1	3	yes	—
446	C₂²×C₄×C₁₉	C₂⁴	1	6	yes	—
447	C₂²×C₄×C₁₉	C₂⁴	1	6	yes	—
448	C₂²×C₄×C₁₉	C₂⁴	1	6	yes	—
449	C₂²×C₄×C₁₉	C₂⁴	1	3	yes	—
450	C₂²×C₄×C₁₉	C₂⁴	1	3	yes	—
451	C₂²×C₄×C₁₉	C₂⁴	1	3	yes	—
452	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
453	C₂²×C₄×C₁₉	C₂⁴	1	3	yes	—
454	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
455	C₂²×C₄×C₁₉	C₂⁴	1	3	yes	—
456	C₂²×C₄×C₁₉	C₂⁴	1	3	yes	—
457	C₂²×C₄×C₁₉	C₂⁴	1	6	yes	—
458	C₂²×C₄×C₁₉	C₂⁴	1	3	yes	—
459	C₂²×C₄×C₁₉	C₂⁴	1	6	yes	—
460	C₂²×C₄×C₁₉	C₂⁴	1	6	yes	—
461	C₂²×C₄×C₁₉	C₂⁴	1	6	yes	—
462	C₂²×C₄×C₁₉	C₂⁴	1	6	yes	—
463	C₂²×C₄×C₁₉	C₂⁴	1	6	yes	—
464	C₂²×C₄×C₁₉	C₂⁴	1	6	yes	—
465	C₂²×C₄×C₁₉	C₂⁴	1	12	yes	—
466	C₂²×C₄×C₁₉	C₂⁴	1	3	yes	—
467	C₄⋊C₄×C₁₉	C₂⁴	1	3	yes	—
468	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
469	C₄⋊C₄×C₁₉	C₂⁴	1	3	yes	—
470	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
471	C₄⋊C₄×C₁₉	C₂⁴	1	3	yes	—
472	C₄⋊C₄×C₁₉	C₂⁴	1	3	yes	—
473	C₄⋊C₄×C₁₉	C₂⁴	1	6	yes	—
474	C₄⋊C₄×C₁₉	C₂⁴	1	6	yes	—
475	C₄⋊C₄×C₁₉	C₂⁴	1	3	yes	—
476	C₄⋊C₄×C₁₉	C₂⁴	1	6	yes	—
477	C₄⋊C₄×C₁₉	C₂⁴	1	6	yes	—
478	C₄⋊C₄×C₁₉	C₂⁴	1	12	yes	—
479	C₄⋊C₄×C₁₉	C₂⁴	1	6	yes	—
480	C₄⋊C₄×C₁₉	C₂⁴	1	6	yes	—
481	C₄⋊C₄×C₁₉	C₂⁴	1	3	yes	—
482	C₄⋊C₄×C₁₉	C₂⁴	1	3	yes	—
483	C₄⋊C₄×C₁₉	C₂⁴	1	3	yes	—
484	C₄⋊C₄×C₁₉	C₂⁴	1	3	yes	—
485	C₄⋊C₄×C₁₉	C₂⁴	1	3	yes	—
486	C₄⋊C₄×C₁₉	C₂⁴	1	3	yes	—
487	C₄⋊C₄×C₁₉	C₂⁴	1	3	yes	—
488	C₄⋊C₄×C₁₉	C₂⁴	1	12	yes	—
489	C₄⋊C₄×C₁₉	C₂⁴	1	12	yes	—
490	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
491	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
492	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
493	C₄⋊C₄×C₁₉	C₂⁴	1	6	yes	—
494	C₄⋊C₄×C₁₉	C₂⁴	1	6	yes	—
495	C₄⋊C₄×C₁₉	C₂⁴	1	6	yes	—
496	C₄⋊C₄×C₁₉	C₂⁴	1	6	yes	—
497	C₄⋊C₄×C₁₉	C₂⁴	1	6	yes	—
498	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
499	C₄⋊C₄×C₁₉	C₂⁴	1	6	yes	—
500	C₄⋊C₄×C₁₉	C₂⁴	1	6	yes	—
501	C₄⋊C₄×C₁₉	C₂⁴	1	6	yes	—
502	C₄⋊C₄×C₁₉	C₂⁴	1	6	yes	—
503	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
504	C₂²⋊C₄×C₁₉	C₂⁴	1	6	yes	—
505	C₂²⋊C₄×C₁₉	C₂⁴	1	3	yes	—
506	C₂²⋊C₄×C₁₉	C₂⁴	1	3	yes	—
507	C₂²⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
508	C₂²⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
509	C₂²⋊C₄×C₁₉	C₂⁴	1	6	yes	—
510	C₂²⋊C₄×C₁₉	C₂⁴	1	6	yes	—
511	C₂²⋊C₄×C₁₉	C₂⁴	1	6	yes	—
512	C₂²⋊C₄×C₁₉	C₂⁴	1	12	yes	—
513	C₂²⋊C₄×C₁₉	C₂⁴	1	6	yes	—
514	C₂²⋊C₄×C₁₉	C₂⁴	1	6	yes	—
515	C₂²⋊C₄×C₁₉	C₂⁴	1	6	yes	—
516	C₂²⋊C₄×C₁₉	C₂⁴	1	6	yes	—
517	C₂²⋊C₄×C₁₉	C₂⁴	1	6	yes	—
518	C₂²⋊C₄×C₁₉	C₂⁴	1	3	yes	—
519	C₂²⋊C₄×C₁₉	C₂⁴	1	3	yes	—
520	C₂²⋊C₄×C₁₉	C₂⁴	1	3	yes	—
521	C₂²⋊C₄×C₁₉	C₂⁴	1	3	yes	—
522	C₂²⋊C₄×C₁₉	C₂⁴	1	12	yes	—
523	C₂²⋊C₄×C₁₉	C₂⁴	1	12	yes	—
524	C₂²⋊C₄×C₁₉	C₂⁴	1	12	yes	—
525	C₂²⋊C₄×C₁₉	C₂⁴	1	12	yes	—
526	C₂²⋊C₄×C₁₉	C₂⁴	1	6	yes	—
527	C₂²⋊C₄×C₁₉	C₂⁴	1	2	yes	—
528	C₂²⋊C₄×C₁₉	C₂⁴	1	6	yes	—
529	C₂²⋊C₄×C₁₉	C₂⁴	1	6	yes	—
530	C₂²⋊C₄×C₁₉	C₂⁴	1	6	yes	—
531	C₂²⋊C₄×C₁₉	C₂⁴	1	2	yes	—
532	C₂²⋊C₄×C₁₉	C₂⁴	1	6	yes	—
533	C₂²⋊C₄×C₁₉	C₂⁴	1	6	yes	—
534	C₂²⋊C₄×C₁₉	C₂⁴	1	2	yes	—
535	C₂²⋊C₄×C₁₉	C₂⁴	1	2	yes	—
536	C₂²⋊C₄×C₁₉	C₂⁴	1	2	yes	—
537	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
538	C₄²×C₁₉	C₂⁴	1	3	yes	—
539	C₄²×C₁₉	C₂⁴	1	3	yes	—
540	C₄²×C₁₉	C₂⁴	1	3	yes	—
541	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
542	C₄²×C₁₉	C₂⁴	1	3	yes	—
543	C₄²×C₁₉	C₂⁴	1	2	yes	—
544	C₄²×C₁₉	C₂⁴	1	6	yes	—
545	C₄²×C₁₉	C₂⁴	1	6	yes	—
546	C₄²×C₁₉	C₂⁴	1	6	yes	—
547	C₄²×C₁₉	C₂⁴	1	6	yes	—
548	C₄²×C₁₉	C₂⁴	1	12	yes	—
549	C₄²×C₁₉	C₂⁴	1	6	yes	—
550	C₄²×C₁₉	C₂⁴	1	6	yes	—
551	C₄²×C₁₉	C₂⁴	1	3	yes	—
552	C₄²×C₁₉	C₂⁴	1	3	yes	—
553	C₄²×C₁₉	C₂⁴	1	6	yes	—
554	#62857	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
555	C₂³×C₁₉	—	2	6	no	—
556	C₂³×C₁₉	—	2	12	no	—
557	C₂³×C₁₉	—	4	6	no	—
558	C₂³×C₁₉	—	4	3	no	—
559	C₂³×C₁₉	—	4	3	no	—
560	C₂³×C₁₉	—	4	6	no	—
561	C₂³×C₁₉	C₂⁵	1	1	yes	characteristic
562	C₂³×C₁₉	C₂⁵	1	6	yes	—
563	C₂³×C₁₉	C₂⁵	1	3	yes	—
564	C₂³×C₁₉	C₂⁵	1	2	yes	—
565	C₂³×C₁₉	C₂⁵	1	3	yes	—
566	Q₈×C₁₉	—	2	12	no	—
567	Q₈×C₁₉	—	2	6	no	—
568	Q₈×C₁₉	—	2	6	no	—
569	Q₈×C₁₉	—	2	2	no	—
570	Q₈×C₁₉	—	4	6	no	—
571	Q₈×C₁₉	—	4	12	no	—
572	Q₈×C₁₉	—	4	2	no	—
573	Q₈×C₁₉	C₂×#41	1	4	yes	—
574	D₄×C₁₉	—	2	12	no	—
575	D₄×C₁₉	—	2	12	no	—
576	D₄×C₁₉	—	2	12	no	—
577	D₄×C₁₉	—	2	12	no	—
578	D₄×C₁₉	—	2	6	no	—
579	D₄×C₁₉	—	2	6	no	—
580	D₄×C₁₉	—	2	2	no	—
581	D₄×C₁₉	—	4	6	no	—
582	D₄×C₁₉	—	4	12	no	—
583	D₄×C₁₉	—	4	6	no	—
584	D₄×C₁₉	—	4	2	no	—
585	D₄×C₁₉	—	4	6	no	—
586	D₄×C₁₉	—	4	6	no	—
587	D₄×C₁₉	—	4	6	no	—
588	D₄×C₁₉	C₂×#41	1	12	yes	—
589	C₂×C₄×C₁₉	—	2	6	no	—
590	C₂×C₄×C₁₉	—	2	12	no	—
591	C₂×C₄×C₁₉	—	2	2	no	—
592	C₂×C₄×C₁₉	—	2	6	no	—
593	C₂×C₄×C₁₉	—	2	6	no	—
594	C₂×C₄×C₁₉	—	2	6	no	—
595	C₂×C₄×C₁₉	—	2	12	no	—
596	C₂×C₄×C₁₉	—	2	12	no	—
597	C₂×C₄×C₁₉	—	4	3	no	—
598	C₂×C₄×C₁₉	—	4	6	no	—
599	C₂×C₄×C₁₉	—	4	6	no	—
600	C₂×C₄×C₁₉	—	4	12	no	—
601	C₂×C₄×C₁₉	—	4	3	no	—
602	C₂×C₄×C₁₉	—	4	6	no	—
603	C₂×C₄×C₁₉	—	4	6	no	—
604	C₂×C₄×C₁₉	—	4	2	no	—
605	C₂×C₄×C₁₉	—	4	3	no	—
606	C₂×C₄×C₁₉	—	4	6	no	—
607	C₂×C₄×C₁₉	—	4	3	no	—
608	C₂×C₄×C₁₉	—	4	6	no	—
609	C₂×C₄×C₁₉	—	4	6	no	—
610	C₂×C₄×C₁₉	C₂×#41	1	12	yes	—
611	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
612	C₂×C₄×C₁₉	C₂⁵	1	3	yes	—
613	C₂×C₄×C₁₉	C₂⁵	1	2	yes	—
614	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
615	C₂×C₄×C₁₉	C₂⁵	1	3	yes	—
616	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
617	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
618	C₂×C₄×C₁₉	C₂⁵	1	2	yes	—
619	C₂×C₄×C₁₉	C₂⁵	1	6	yes	—
620	C₂×C₄×C₁₉	C₂⁵	1	3	yes	—
621	C₂×C₄×C₁₉	C₂⁵	1	3	yes	—
622	C₂×C₄×C₁₉	C₂⁵	1	3	yes	—
623	C₂×C₄×C₁₉	C₂⁵	1	2	yes	—
624	C₂×C₄×C₁₉	C₂⁵	1	6	yes	—
625	C₂×C₄×C₁₉	C₂⁵	1	6	yes	—
626	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
627	C₂×C₄×C₁₉	C₂⁵	1	3	yes	—
628	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
629	#3524	C₂×C₁₉	1	2	yes	complemented
630	#3522	C₂×C₁₉	1	2	yes	complemented
631	#3521	C₂×C₁₉	1	6	yes	complemented
632	#3520	C₂×C₁₉	1	6	yes	complemented
633	#3518	C₂×C₁₉	1	2	yes	complemented
634	#3516	C₂×C₁₉	1	2	yes	complemented
635	#3514	C₂×C₁₉	1	6	yes	complemented
636	#3513	C₂×C₁₉	1	6	yes	complemented
637	#3511	C₂×C₁₉	1	3	yes	complemented
638	#3510	C₂×C₁₉	1	3	yes	complemented
639	#3503	C₂×C₁₉	1	1	yes	characteristic, complemented
640	#3500	C₂×C₁₉	1	1	yes	characteristic, complemented
641	#3495	C₂×C₁₉	1	3	yes	complemented
642	#3494	C₂×C₁₉	1	3	yes	complemented
643	#3489	C₂×C₁₉	1	1	yes	characteristic, complemented
644	#3488	C₂×C₁₉	1	1	yes	characteristic, complemented
645	#3461	C₂×C₁₉	1	3	yes	complemented
646	#3460	C₂×C₁₉	1	3	yes	complemented
647	#3455	C₂×C₁₉	1	3	yes	complemented
648	C₂×#542	C₂×C₁₉	1	3	yes	complemented
649	C₄×2₋¹⁺⁴	C₂×C₁₉	1	1	yes	characteristic, complemented
650	C₄×H(5,𝔽₂)	C₂×C₁₉	1	1	yes	characteristic, complemented
651	#3428	C₂×C₁₉	1	1	yes	characteristic, complemented
652	C₂²×C₁₉	—	2	3	no	—
653	C₂²×C₁₉	—	2	3	no	—
654	C₂²×C₁₉	—	2	1	no	—
655	C₂²×C₁₉	—	2	2	no	—
656	C₂²×C₁₉	—	2	3	no	—
657	C₂²×C₁₉	—	2	6	no	—
658	C₂²×C₁₉	—	2	2	no	—
659	C₂²×C₁₉	—	2	6	no	—
660	C₂²×C₁₉	—	2	3	no	—
661	C₂²×C₁₉	—	2	1	no	—
662	C₂²×C₁₉	—	2	3	no	—
663	C₂²×C₁₉	—	2	2	no	—
664	C₂²×C₁₉	—	2	6	no	—
665	C₂²×C₁₉	—	2	1	no	—
666	C₂²×C₁₉	—	8	6	no	—
667	C₂²×C₁₉	—	8	12	no	—
668	C₂²×C₁₉	C₂²×#41	1	6	yes	—
669	C₂²×C₁₉	C₂⁶	1	1	yes	characteristic
670	C₄×C₁₉	—	2	1	no	—
671	C₄×C₁₉	—	2	2	no	—
672	C₄×C₁₉	—	2	3	no	—
673	C₄×C₁₉	—	2	6	no	—
674	C₄×C₁₉	—	2	1	no	—
675	C₄×C₁₉	—	2	3	no	—
676	C₄×C₁₉	—	2	6	no	—
677	C₄×C₁₉	—	2	6	no	—
678	C₄×C₁₉	—	2	3	no	—
679	C₄×C₁₉	—	2	1	no	—
680	C₄×C₁₉	—	2	1	no	—
681	C₄×C₁₉	—	2	3	no	—
682	C₄×C₁₉	—	2	3	no	—
683	C₄×C₁₉	—	2	2	no	—
684	C₄×C₁₉	—	2	1	no	—
685	C₄×C₁₉	—	2	2	no	—
686	C₄×C₁₉	C₂²×#41	1	6	yes	—
687	C₄×C₁₉	C₂²×#41	1	2	yes	—
688	C₂×2₋¹⁺⁴	C₂²×C₁₉	1	1	yes	characteristic
689	C₂×H(5,𝔽₂)	C₂²×C₁₉	1	1	yes	characteristic
690	C₂²×#41	C₂²×C₁₉	1	1	yes	characteristic
691	#559	C₂²×C₁₉	1	6	yes	complemented
692	#559	C₂²×C₁₉	1	6	yes	complemented
693	Q₈²	C₂²×C₁₉	1	2	yes	complemented
694	#557	C₂²×C₁₉	1	2	yes	complemented
695	#556	C₂²×C₁₉	1	6	yes	complemented
696	#556	C₂²×C₁₉	1	6	yes	complemented
697	#556	C₂²×C₁₉	1	6	yes	complemented
698	#556	C₂²×C₁₉	1	6	yes	complemented
699	#555	C₂²×C₁₉	1	6	yes	complemented
700	#555	C₂²×C₁₉	1	6	yes	complemented
701	#554	C₂²×C₁₉	1	6	yes	complemented
702	#554	C₂²×C₁₉	1	6	yes	complemented
703	#554	C₂²×C₁₉	1	6	yes	complemented
704	#553	C₂²×C₁₉	1	6	yes	complemented
705	#553	C₂²×C₁₉	1	6	yes	complemented
706	#553	C₂²×C₁₉	1	12	yes	complemented
707	#552	C₂²×C₁₉	1	6	yes	complemented
708	#552	C₂²×C₁₉	1	12	yes	complemented
709	#552	C₂²×C₁₉	1	6	yes	complemented
710	#551	C₂²×C₁₉	1	12	yes	complemented
711	#551	C₂²×C₁₉	1	12	yes	complemented
712	#551	C₂²×C₁₉	1	12	yes	complemented
713	#551	C₂²×C₁₉	1	12	yes	complemented
714	#550	C₂²×C₁₉	1	2	yes	—
715	D₄×Q₈	C₂²×C₁₉	1	2	yes	complemented
716	D₄×Q₈	C₂²×C₁₉	1	6	yes	complemented
717	#548	C₂²×C₁₉	1	2	yes	—
718	#548	C₂²×C₁₉	1	2	yes	complemented
719	#548	C₂²×C₁₉	1	2	yes	complemented
720	#548	C₂²×C₁₉	1	2	yes	complemented
721	#548	C₂²×C₁₉	1	12	yes	complemented
722	#547	C₂²×C₁₉	1	6	yes	complemented
723	#547	C₂²×C₁₉	1	6	yes	complemented
724	#547	C₂²×C₁₉	1	6	yes	complemented
725	#546	C₂²×C₁₉	1	6	yes	—
726	#546	C₂²×C₁₉	1	6	yes	complemented
727	#546	C₂²×C₁₉	1	12	yes	complemented
728	#546	C₂²×C₁₉	1	6	yes	complemented
729	#546	C₂²×C₁₉	1	6	yes	complemented
730	D₄²	C₂²×C₁₉	1	6	yes	—
731	#544	C₂²×C₁₉	1	3	yes	complemented
732	#544	C₂²×C₁₉	1	3	yes	complemented
733	#542	C₂²×C₁₉	1	3	yes	complemented
734	#542	C₂²×C₁₉	1	6	yes	complemented
735	#542	C₂²×C₁₉	1	6	yes	complemented
736	#542	C₂²×C₁₉	1	6	yes	complemented
737	#542	C₂²×C₁₉	1	6	yes	complemented
738	#542	C₂²×C₁₉	1	6	yes	complemented
739	#542	C₂²×C₁₉	1	6	yes	complemented
740	#542	C₂²×C₁₉	1	6	yes	complemented
741	#542	C₂²×C₁₉	1	1	yes	characteristic, complemented
742	#542	C₂²×C₁₉	1	3	yes	complemented
743	#542	C₂²×C₁₉	1	3	yes	complemented
744	#542	C₂²×C₁₉	1	6	yes	complemented
745	#542	C₂²×C₁₉	1	6	yes	complemented
746	#541	C₂²×C₁₉	1	3	yes	complemented
747	#541	C₂²×C₁₉	1	3	yes	complemented
748	#541	C₂²×C₁₉	1	6	yes	complemented
749	#540	C₂²×C₁₉	1	3	yes	complemented
750	#540	C₂²×C₁₉	1	3	yes	complemented
751	#540	C₂²×C₁₉	1	6	yes	complemented
752	#539	C₂²×C₁₉	1	6	yes	complemented
753	#539	C₂²×C₁₉	1	6	yes	complemented
754	#539	C₂²×C₁₉	1	12	yes	complemented
755	#538	C₂²×C₁₉	1	6	yes	complemented
756	#538	C₂²×C₁₉	1	6	yes	complemented
757	#538	C₂²×C₁₉	1	12	yes	complemented
758	#537	C₂²×C₁₉	1	3	yes	—
759	#537	C₂²×C₁₉	1	3	yes	complemented
760	#536	C₂²×C₁₉	1	3	yes	complemented
761	#536	C₂²×C₁₉	1	3	yes	complemented
762	#535	C₂²×C₁₉	1	3	yes	—
763	#535	C₂²×C₁₉	1	3	yes	complemented
764	#533	C₂²×C₁₉	1	3	yes	complemented
765	#533	C₂²×C₁₉	1	6	yes	complemented
766	#533	C₂²×C₁₉	1	6	yes	complemented
767	#532	C₂²×C₁₉	1	3	yes	complemented
768	#532	C₂²×C₁₉	1	6	yes	complemented
769	#532	C₂²×C₁₉	1	6	yes	complemented
770	C₂×C₄⋊Q₈	C₂²×C₁₉	1	3	yes	complemented
771	#529	C₂²×C₁₉	1	6	yes	complemented
772	#529	C₂²×C₁₉	1	6	yes	complemented
773	#529	C₂²×C₁₉	1	6	yes	complemented
774	#529	C₂²×C₁₉	1	6	yes	complemented
775	#529	C₂²×C₁₉	1	6	yes	complemented
776	#529	C₂²×C₁₉	1	6	yes	complemented
777	#529	C₂²×C₁₉	1	6	yes	complemented
778	#529	C₂²×C₁₉	1	6	yes	complemented
779	#529	C₂²×C₁₉	1	12	yes	complemented
780	C₂×#126	C₂²×C₁₉	1	6	yes	complemented
781	C₂×#124	C₂²×C₁₉	1	3	yes	complemented
782	C₂×#124	C₂²×C₁₉	1	6	yes	complemented
783	#525	C₂²×C₁₉	1	3	yes	—
784	#525	C₂²×C₁₉	1	3	yes	complemented
785	#525	C₂²×C₁₉	1	12	yes	complemented
786	C₂×#123	C₂²×C₁₉	1	6	yes	complemented
787	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	3	yes	complemented
788	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	6	yes	complemented
789	C₂×#121	C₂²×C₁₉	1	3	yes	—
790	#520	C₂²×C₁₉	1	1	yes	characteristic
791	#520	C₂²×C₁₉	1	1	yes	characteristic
792	#520	C₂²×C₁₉	1	3	yes	complemented
793	#520	C₂²×C₁₉	1	3	yes	complemented
794	#520	C₂²×C₁₉	1	1	yes	characteristic, complemented
795	#520	C₂²×C₁₉	1	1	yes	characteristic, complemented
796	#520	C₂²×C₁₉	1	3	yes	complemented
797	#520	C₂²×C₁₉	1	2	yes	complemented
798	#520	C₂²×C₁₉	1	3	yes	complemented
799	#520	C₂²×C₁₉	1	6	yes	complemented
800	#519	C₂²×C₁₉	1	1	yes	characteristic, complemented
801	#519	C₂²×C₁₉	1	1	yes	characteristic, complemented
802	#519	C₂²×C₁₉	1	3	yes	complemented
803	#519	C₂²×C₁₉	1	2	yes	complemented
804	#518	C₂²×C₁₉	1	3	yes	complemented
805	#518	C₂²×C₁₉	1	3	yes	complemented
806	#518	C₂²×C₁₉	1	3	yes	complemented
807	#518	C₂²×C₁₉	1	6	yes	complemented
808	C₄×#41	C₂²×C₁₉	1	1	yes	characteristic
809	C₄×#41	C₂²×C₁₉	1	1	yes	characteristic
810	C₄×#41	C₂²×C₁₉	1	3	yes	complemented
811	C₄×#41	C₂²×C₁₉	1	3	yes	complemented
812	C₄×#41	C₂²×C₁₉	1	3	yes	complemented
813	C₄×#41	C₂²×C₁₉	1	2	yes	complemented
814	C₄×#41	C₂²×C₁₉	1	3	yes	complemented
815	C₄×#41	C₂²×C₁₉	1	6	yes	complemented
816	C₂×C₄×Q₈	C₂²×C₁₉	1	3	yes	complemented
817	C₂×C₄×Q₈	C₂²×C₁₉	1	2	yes	complemented
818	C₂×C₄×D₄	C₂²×C₁₉	1	3	yes	complemented
819	C₂×C₄×D₄	C₂²×C₁₉	1	6	yes	complemented
820	C₂×#117	C₂²×C₁₉	1	3	yes	complemented
821	C₂×#117	C₂²×C₁₉	1	3	yes	complemented
822	C₂×C₁₉	—	2	6	no	—
823	C₂×C₁₉	—	4	2	no	—
824	C₂×C₁₉	—	4	3	no	—
825	C₂×C₁₉	—	4	6	no	—
826	C₂×C₁₉	—	4	1	no	—
827	C₂×C₁₉	C₂³×#41	1	1	yes	characteristic
828	C₂×C₁₉	H(7,𝔽₂)	1	1	yes	characteristic
829	C₂×C₁₉	2₋¹⁺⁶	1	1	yes	characteristic
830	2₋¹⁺⁴	—	2	8	no	—
831	H(5,𝔽₂)	—	2	8	no	—
832	C₂×#41	—	2	8	no	—
833	C₂×#41	C₂³×C₁₉	1	3	yes	—
834	C₂×#41	C₂³×C₁₉	1	3	yes	—
835	C₂×#41	C₂³×C₁₉	1	3	yes	—
836	C₂×#41	C₂³×C₁₉	1	6	yes	—
837	C₂×#41	C₂³×C₁₉	1	2	yes	—
838	C₂×#41	C₂³×C₁₉	1	3	yes	—
839	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
840	C₂×#41	C₂³×C₁₉	1	12	yes	—
841	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
842	C₂²×Q₈	C₂³×C₁₉	1	3	yes	—
843	C₂²×Q₈	C₂³×C₁₉	1	2	yes	—
844	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
845	C₂²×Q₈	C₂³×C₁₉	1	6	yes	—
846	C₂²×D₄	C₂³×C₁₉	1	3	yes	—
847	C₂²×D₄	C₂³×C₁₉	1	6	yes	—
848	C₂²×D₄	C₂³×C₁₉	1	3	yes	—
849	C₂²×D₄	C₂³×C₁₉	1	6	yes	—
850	C₂³×C₄	C₂³×C₁₉	1	3	yes	—
851	C₂³×C₄	C₂³×C₁₉	1	6	yes	—
852	C₄⋊Q₈	C₂³×C₁₉	1	3	yes	—
853	C₄⋊Q₈	C₂³×C₁₉	1	6	yes	—
854	C₄⋊Q₈	C₂³×C₁₉	1	6	yes	—
855	C₄⋊Q₈	C₂³×C₁₉	1	6	yes	—
856	C₄⋊Q₈	C₂³×C₁₉	1	3	yes	—
857	C₄⋊Q₈	C₂³×C₁₉	1	6	yes	—
858	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
859	C₄⋊Q₈	C₂³×C₁₉	1	6	yes	—
860	C₄⋊Q₈	C₂³×C₁₉	1	6	yes	—
861	#127	C₂³×C₁₉	1	3	yes	—
862	#127	C₂³×C₁₉	1	6	yes	—
863	#126	C₂³×C₁₉	1	6	yes	—
864	#126	C₂³×C₁₉	1	12	yes	—
865	#126	C₂³×C₁₉	1	12	yes	—
866	#126	C₂³×C₁₉	1	12	yes	—
867	#126	C₂³×C₁₉	1	6	yes	—
868	#126	C₂³×C₁₉	1	6	yes	—
869	#126	C₂³×C₁₉	1	2	yes	—
870	#126	C₂³×C₁₉	1	6	yes	—
871	#126	C₂³×C₁₉	1	6	yes	—
872	#126	C₂³×C₁₉	1	12	yes	—
873	#126	C₂³×C₁₉	1	12	yes	—
874	#126	C₂³×C₁₉	1	6	yes	—
875	#126	C₂³×C₁₉	1	6	yes	—
876	#125	C₂³×C₁₉	1	6	yes	—
877	#125	C₂³×C₁₉	1	3	yes	—
878	#125	C₂³×C₁₉	1	3	yes	—
879	#125	C₂³×C₁₉	1	6	yes	—
880	#125	C₂³×C₁₉	1	6	yes	—
881	#125	C₂³×C₁₉	1	6	yes	—
882	#125	C₂³×C₁₉	1	6	yes	—
883	#125	C₂³×C₁₉	1	6	yes	—
884	#125	C₂³×C₁₉	1	12	yes	—
885	#124	C₂³×C₁₉	1	6	yes	—
886	#124	C₂³×C₁₉	1	3	yes	—
887	#124	C₂³×C₁₉	1	6	yes	—
888	#124	C₂³×C₁₉	1	12	yes	—
889	#124	C₂³×C₁₉	1	6	yes	—
890	#124	C₂³×C₁₉	1	6	yes	—
891	#124	C₂³×C₁₉	1	12	yes	—
892	#124	C₂³×C₁₉	1	12	yes	—
893	#124	C₂³×C₁₉	1	2	yes	—
894	#124	C₂³×C₁₉	1	6	yes	—
895	#124	C₂³×C₁₉	1	6	yes	—
896	#124	C₂³×C₁₉	1	6	yes	—
897	#124	C₂³×C₁₉	1	6	yes	—
898	#124	C₂³×C₁₉	1	1	yes	characteristic
899	#124	C₂³×C₁₉	1	12	yes	—
900	#123	C₂³×C₁₉	1	6	yes	—
901	#123	C₂³×C₁₉	1	12	yes	—
902	#123	C₂³×C₁₉	1	12	yes	—
903	#123	C₂³×C₁₉	1	12	yes	—
904	#123	C₂³×C₁₉	1	6	yes	—
905	#123	C₂³×C₁₉	1	6	yes	—
906	#123	C₂³×C₁₉	1	6	yes	—
907	#123	C₂³×C₁₉	1	2	yes	—
908	#123	C₂³×C₁₉	1	6	yes	—
909	#123	C₂³×C₁₉	1	12	yes	—
910	#123	C₂³×C₁₉	1	12	yes	—
911	#123	C₂³×C₁₉	1	12	yes	—
912	#123	C₂³×C₁₉	1	6	yes	—
913	#123	C₂³×C₁₉	1	6	yes	—
914	#123	C₂³×C₁₉	1	6	yes	—
915	#123	C₂³×C₁₉	1	6	yes	—
916	#123	C₂³×C₁₉	1	12	yes	—
917	C₂²⋊Q₈	C₂³×C₁₉	1	3	yes	—
918	C₂²⋊Q₈	C₂³×C₁₉	1	6	yes	—
919	C₂²⋊Q₈	C₂³×C₁₉	1	12	yes	—
920	C₂²⋊Q₈	C₂³×C₁₉	1	6	yes	—
921	C₂²⋊Q₈	C₂³×C₁₉	1	6	yes	—
922	C₂²⋊Q₈	C₂³×C₁₉	1	6	yes	—
923	C₂²⋊Q₈	C₂³×C₁₉	1	12	yes	—
924	C₂²⋊Q₈	C₂³×C₁₉	1	12	yes	—
925	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
926	C₂²⋊Q₈	C₂³×C₁₉	1	3	yes	—
927	C₂²⋊Q₈	C₂³×C₁₉	1	3	yes	—
928	C₂²⋊Q₈	C₂³×C₁₉	1	12	yes	—
929	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
930	C₂²⋊Q₈	C₂³×C₁₉	1	6	yes	—
931	C₂²⋊Q₈	C₂³×C₁₉	1	6	yes	—
932	C₂²⋊Q₈	C₂³×C₁₉	1	6	yes	—
933	C₂²⋊Q₈	C₂³×C₁₉	1	6	yes	—
934	C₂²⋊Q₈	C₂³×C₁₉	1	12	yes	—
935	C₂²⋊Q₈	C₂³×C₁₉	1	6	yes	—
936	C₂²⋊Q₈	C₂³×C₁₉	1	6	yes	—
937	C₂²⋊Q₈	C₂³×C₁₉	1	6	yes	—
938	C₂²⋊Q₈	C₂³×C₁₉	1	6	yes	—
939	C₂²⋊Q₈	C₂³×C₁₉	1	12	yes	—
940	#121	C₂³×C₁₉	1	3	yes	—
941	#121	C₂³×C₁₉	1	6	yes	—
942	#121	C₂³×C₁₉	1	6	yes	—
943	#121	C₂³×C₁₉	1	6	yes	—
944	#121	C₂³×C₁₉	1	3	yes	—
945	#121	C₂³×C₁₉	1	1	yes	characteristic
946	#121	C₂³×C₁₉	1	6	yes	—
947	#121	C₂³×C₁₉	1	3	yes	—
948	#121	C₂³×C₁₉	1	12	yes	—
949	#121	C₂³×C₁₉	1	6	yes	—
950	#121	C₂³×C₁₉	1	6	yes	—
951	#121	C₂³×C₁₉	1	12	yes	—
952	#121	C₂³×C₁₉	1	6	yes	—
953	#121	C₂³×C₁₉	1	6	yes	—
954	#121	C₂³×C₁₉	1	6	yes	—
955	#121	C₂³×C₁₉	1	6	yes	—
956	#121	C₂³×C₁₉	1	6	yes	—
957	#121	C₂³×C₁₉	1	6	yes	—
958	#121	C₂³×C₁₉	1	6	yes	—
959	#121	C₂³×C₁₉	1	12	yes	—
960	#120	C₂³×C₁₉	1	6	yes	—
961	#120	C₂³×C₁₉	1	12	yes	—
962	#120	C₂³×C₁₉	1	12	yes	—
963	#120	C₂³×C₁₉	1	6	yes	—
964	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
965	C₄×Q₈	C₂³×C₁₉	1	3	yes	—
966	C₄×Q₈	C₂³×C₁₉	1	6	yes	—
967	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
968	C₄×Q₈	C₂³×C₁₉	1	6	yes	—
969	C₄×Q₈	C₂³×C₁₉	1	6	yes	—
970	C₄×Q₈	C₂³×C₁₉	1	6	yes	—
971	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
972	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
973	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
974	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
975	C₄×Q₈	C₂³×C₁₉	1	3	yes	—
976	C₄×Q₈	C₂³×C₁₉	1	6	yes	—
977	C₄×Q₈	C₂³×C₁₉	1	3	yes	—
978	C₄×Q₈	C₂³×C₁₉	1	3	yes	—
979	C₄×Q₈	C₂³×C₁₉	1	3	yes	—
980	C₄×Q₈	C₂³×C₁₉	1	3	yes	—
981	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
982	C₄×Q₈	C₂³×C₁₉	1	3	yes	—
983	C₄×Q₈	C₂³×C₁₉	1	6	yes	—
984	C₄×Q₈	C₂³×C₁₉	1	6	yes	—
985	C₄×Q₈	C₂³×C₁₉	1	12	yes	—
986	C₄×D₄	C₂³×C₁₉	1	3	yes	—
987	C₄×D₄	C₂³×C₁₉	1	6	yes	—
988	C₄×D₄	C₂³×C₁₉	1	3	yes	—
989	C₄×D₄	C₂³×C₁₉	1	6	yes	—
990	C₄×D₄	C₂³×C₁₉	1	6	yes	—
991	C₄×D₄	C₂³×C₁₉	1	6	yes	—
992	C₄×D₄	C₂³×C₁₉	1	6	yes	—
993	C₄×D₄	C₂³×C₁₉	1	6	yes	—
994	C₄×D₄	C₂³×C₁₉	1	12	yes	—
995	C₄×D₄	C₂³×C₁₉	1	3	yes	—
996	C₄×D₄	C₂³×C₁₉	1	3	yes	—
997	C₄×D₄	C₂³×C₁₉	1	3	yes	—
998	C₄×D₄	C₂³×C₁₉	1	6	yes	—
999	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1000	C₄×D₄	C₂³×C₁₉	1	6	yes	—
1001	C₄×D₄	C₂³×C₁₉	1	3	yes	—
1002	C₄×D₄	C₂³×C₁₉	1	6	yes	—
1003	C₄×D₄	C₂³×C₁₉	1	6	yes	—
1004	C₄×D₄	C₂³×C₁₉	1	6	yes	—
1005	C₄×D₄	C₂³×C₁₉	1	3	yes	—
1006	C₄×D₄	C₂³×C₁₉	1	3	yes	—
1007	C₄×D₄	C₂³×C₁₉	1	3	yes	—
1008	C₄×D₄	C₂³×C₁₉	1	6	yes	—
1009	C₄×D₄	C₂³×C₁₉	1	6	yes	—
1010	C₄×D₄	C₂³×C₁₉	1	3	yes	—
1011	C₄×D₄	C₂³×C₁₉	1	6	yes	—
1012	C₄×D₄	C₂³×C₁₉	1	6	yes	—
1013	C₄×D₄	C₂³×C₁₉	1	3	yes	—
1014	C₄×D₄	C₂³×C₁₉	1	12	yes	—
1015	C₄×D₄	C₂³×C₁₉	1	6	yes	—
1016	C₄×D₄	C₂³×C₁₉	1	6	yes	—
1017	C₄×D₄	C₂³×C₁₉	1	6	yes	—
1018	C₄×D₄	C₂³×C₁₉	1	6	yes	—
1019	C₄×D₄	C₂³×C₁₉	1	12	yes	—
1020	C₄×D₄	C₂³×C₁₉	1	12	yes	—
1021	C₄×D₄	C₂³×C₁₉	1	12	yes	—
1022	C₄×D₄	C₂³×C₁₉	1	6	yes	—
1023	C₄×D₄	C₂³×C₁₉	1	6	yes	—
1024	#117	C₂³×C₁₉	1	3	yes	—
1025	#117	C₂³×C₁₉	1	1	yes	characteristic
1026	#117	C₂³×C₁₉	1	3	yes	—
1027	#117	C₂³×C₁₉	1	3	yes	—
1028	#117	C₂³×C₁₉	1	3	yes	—
1029	#117	C₂³×C₁₉	1	3	yes	—
1030	#117	C₂³×C₁₉	1	3	yes	—
1031	#117	C₂³×C₁₉	1	3	yes	—
1032	#117	C₂³×C₁₉	1	3	yes	—
1033	#117	C₂³×C₁₉	1	3	yes	—
1034	#117	C₂³×C₁₉	1	3	yes	—
1035	#117	C₂³×C₁₉	1	3	yes	—
1036	#117	C₂³×C₁₉	1	6	yes	—
1037	#117	C₂³×C₁₉	1	3	yes	—
1038	#117	C₂³×C₁₉	1	6	yes	—
1039	#117	C₂³×C₁₉	1	6	yes	—
1040	#117	C₂³×C₁₉	1	3	yes	—
1041	#117	C₂³×C₁₉	1	6	yes	—
1042	#117	C₂³×C₁₉	1	12	yes	—
1043	#117	C₂³×C₁₉	1	6	yes	—
1044	#117	C₂³×C₁₉	1	12	yes	—
1045	#117	C₂³×C₁₉	1	12	yes	—
1046	#117	C₂³×C₁₉	1	12	yes	—
1047	C₂×C₄⋊C₄	C₂³×C₁₉	1	3	yes	—
1048	C₂×C₄⋊C₄	C₂³×C₁₉	1	3	yes	—
1049	C₂×C₄⋊C₄	C₂³×C₁₉	1	3	yes	—
1050	C₂×C₄⋊C₄	C₂³×C₁₉	1	3	yes	—
1051	C₂×C₄⋊C₄	C₂³×C₁₉	1	3	yes	—
1052	C₂×C₄⋊C₄	C₂³×C₁₉	1	6	yes	—
1053	C₂×C₄⋊C₄	C₂³×C₁₉	1	3	yes	—
1054	C₂×C₄⋊C₄	C₂³×C₁₉	1	6	yes	—
1055	C₂×C₄⋊C₄	C₂³×C₁₉	1	6	yes	—
1056	C₂×C₄⋊C₄	C₂³×C₁₉	1	6	yes	—
1057	C₂×C₄⋊C₄	C₂³×C₁₉	1	6	yes	—
1058	C₂×C₂²⋊C₄	C₂³×C₁₉	1	3	yes	—
1059	C₂×C₂²⋊C₄	C₂³×C₁₉	1	3	yes	—
1060	C₂×C₂²⋊C₄	C₂³×C₁₉	1	6	yes	—
1061	C₂×C₂²⋊C₄	C₂³×C₁₉	1	6	yes	—
1062	C₂×C₂²⋊C₄	C₂³×C₁₉	1	12	yes	—
1063	C₂×C₂²⋊C₄	C₂³×C₁₉	1	6	yes	—
1064	C₂×C₂²⋊C₄	C₂³×C₁₉	1	6	yes	—
1065	C₂×C₂²⋊C₄	C₂³×C₁₉	1	6	yes	—
1066	C₂×C₂²⋊C₄	C₂³×C₁₉	1	6	yes	—
1067	C₂×C₄²	C₂³×C₁₉	1	3	yes	—
1068	C₂×C₄²	C₂³×C₁₉	1	3	yes	—
1069	C₂×C₄²	C₂³×C₁₉	1	6	yes	—
1070	C₂×C₄²	C₂³×C₁₉	1	6	yes	—
1071	C₂×C₄²	C₂³×C₁₉	1	6	yes	—
1072	C₂×C₄²	C₂³×C₁₉	1	6	yes	—
1073	C₁₉	#62857	1	1	yes	characteristic, direct product factor, Sylow
1074	C₂⁴	C₂⁴×C₁₉	1	3	yes	—
1075	C₂⁴	C₂⁴×C₁₉	1	6	yes	—
1076	#41	—	2	4	no	—
1077	#41	—	2	8	no	—
1078	#41	—	2	12	no	—
1079	#41	—	2	24	no	—
1080	#41	—	2	12	no	—
1081	#41	—	2	12	no	—
1082	#41	—	2	12	no	—
1083	#41	—	8	12	no	—
1084	#41	#41×C₁₉	1	8	yes	complemented
1085	C₂×Q₈	—	2	4	no	—
1086	C₂×Q₈	—	2	8	no	—
1087	C₂×Q₈	—	2	12	no	—
1088	C₂×Q₈	—	8	6	no	—
1089	C₂×Q₈	C₂⁴×C₁₉	1	3	yes	—
1090	C₂×Q₈	C₂⁴×C₁₉	1	6	yes	—
1091	C₂×Q₈	C₂⁴×C₁₉	1	3	yes	—
1092	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
1093	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
1094	C₂×Q₈	C₂⁴×C₁₉	1	6	yes	—
1095	C₂×Q₈	C₂⁴×C₁₉	1	12	yes	—
1096	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
1097	C₂×D₄	—	2	12	no	—
1098	C₂×D₄	—	2	24	no	—
1099	C₂×D₄	—	2	12	no	—
1100	C₂×D₄	—	8	6	no	—
1101	C₂×D₄	C₂⁴×C₁₉	1	6	yes	—
1102	C₂×D₄	C₂⁴×C₁₉	1	6	yes	—
1103	C₂×D₄	C₂⁴×C₁₉	1	6	yes	—
1104	C₂×D₄	C₂⁴×C₁₉	1	3	yes	—
1105	C₂×D₄	C₂⁴×C₁₉	1	6	yes	—
1106	C₂×D₄	C₂⁴×C₁₉	1	3	yes	—
1107	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
1108	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
1109	C₂×D₄	C₂⁴×C₁₉	1	6	yes	—
1110	C₂×D₄	C₂⁴×C₁₉	1	6	yes	—
1111	C₂×D₄	C₂⁴×C₁₉	1	6	yes	—
1112	C₂×D₄	C₂⁴×C₁₉	1	6	yes	—
1113	C₂×D₄	C₂⁴×C₁₉	1	6	yes	—
1114	C₂×D₄	C₂⁴×C₁₉	1	12	yes	—
1115	C₂×D₄	C₂⁴×C₁₉	1	3	yes	—
1116	C₂²×C₄	—	2	12	no	—
1117	C₂²×C₄	—	8	6	no	—
1118	C₂²×C₄	C₂⁴×C₁₉	1	3	yes	—
1119	C₂²×C₄	C₂⁴×C₁₉	1	6	yes	—
1120	C₂²×C₄	C₂⁴×C₁₉	1	6	yes	—
1121	C₂²×C₄	C₂⁴×C₁₉	1	6	yes	—
1122	C₂²×C₄	C₂⁴×C₁₉	1	3	yes	—
1123	C₂²×C₄	C₂⁴×C₁₉	1	3	yes	—
1124	C₂²×C₄	C₂⁴×C₁₉	1	3	yes	—
1125	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1126	C₂²×C₄	C₂⁴×C₁₉	1	3	yes	—
1127	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
1128	C₂²×C₄	C₂⁴×C₁₉	1	3	yes	—
1129	C₂²×C₄	C₂⁴×C₁₉	1	3	yes	—
1130	C₂²×C₄	C₂⁴×C₁₉	1	6	yes	—
1131	C₂²×C₄	C₂⁴×C₁₉	1	3	yes	—
1132	C₂²×C₄	C₂⁴×C₁₉	1	6	yes	—
1133	C₂²×C₄	C₂⁴×C₁₉	1	6	yes	—
1134	C₂²×C₄	C₂⁴×C₁₉	1	6	yes	—
1135	C₂²×C₄	C₂⁴×C₁₉	1	6	yes	—
1136	C₂²×C₄	C₂⁴×C₁₉	1	6	yes	—
1137	C₂²×C₄	C₂⁴×C₁₉	1	6	yes	—
1138	C₂²×C₄	C₂⁴×C₁₉	1	12	yes	—
1139	C₂²×C₄	C₂⁴×C₁₉	1	3	yes	—
1140	C₄⋊C₄	C₂⁴×C₁₉	1	3	yes	—
1141	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1142	C₄⋊C₄	C₂⁴×C₁₉	1	3	yes	—
1143	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1144	C₄⋊C₄	C₂⁴×C₁₉	1	3	yes	—
1145	C₄⋊C₄	C₂⁴×C₁₉	1	3	yes	—
1146	C₄⋊C₄	C₂⁴×C₁₉	1	6	yes	—
1147	C₄⋊C₄	C₂⁴×C₁₉	1	6	yes	—
1148	C₄⋊C₄	C₂⁴×C₁₉	1	3	yes	—
1149	C₄⋊C₄	C₂⁴×C₁₉	1	6	yes	—
1150	C₄⋊C₄	C₂⁴×C₁₉	1	6	yes	—
1151	C₄⋊C₄	C₂⁴×C₁₉	1	12	yes	—
1152	C₄⋊C₄	C₂⁴×C₁₉	1	6	yes	—
1153	C₄⋊C₄	C₂⁴×C₁₉	1	6	yes	—
1154	C₄⋊C₄	C₂⁴×C₁₉	1	3	yes	—
1155	C₄⋊C₄	C₂⁴×C₁₉	1	3	yes	—
1156	C₄⋊C₄	C₂⁴×C₁₉	1	3	yes	—
1157	C₄⋊C₄	C₂⁴×C₁₉	1	3	yes	—
1158	C₄⋊C₄	C₂⁴×C₁₉	1	3	yes	—
1159	C₄⋊C₄	C₂⁴×C₁₉	1	3	yes	—
1160	C₄⋊C₄	C₂⁴×C₁₉	1	3	yes	—
1161	C₄⋊C₄	C₂⁴×C₁₉	1	12	yes	—
1162	C₄⋊C₄	C₂⁴×C₁₉	1	12	yes	—
1163	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1164	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1165	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1166	C₄⋊C₄	C₂⁴×C₁₉	1	6	yes	—
1167	C₄⋊C₄	C₂⁴×C₁₉	1	6	yes	—
1168	C₄⋊C₄	C₂⁴×C₁₉	1	6	yes	—
1169	C₄⋊C₄	C₂⁴×C₁₉	1	6	yes	—
1170	C₄⋊C₄	C₂⁴×C₁₉	1	6	yes	—
1171	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1172	C₄⋊C₄	C₂⁴×C₁₉	1	6	yes	—
1173	C₄⋊C₄	C₂⁴×C₁₉	1	6	yes	—
1174	C₄⋊C₄	C₂⁴×C₁₉	1	6	yes	—
1175	C₄⋊C₄	C₂⁴×C₁₉	1	6	yes	—
1176	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1177	C₂²⋊C₄	C₂⁴×C₁₉	1	6	yes	—
1178	C₂²⋊C₄	C₂⁴×C₁₉	1	3	yes	—
1179	C₂²⋊C₄	C₂⁴×C₁₉	1	3	yes	—
1180	C₂²⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1181	C₂²⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1182	C₂²⋊C₄	C₂⁴×C₁₉	1	6	yes	—
1183	C₂²⋊C₄	C₂⁴×C₁₉	1	6	yes	—
1184	C₂²⋊C₄	C₂⁴×C₁₉	1	6	yes	—
1185	C₂²⋊C₄	C₂⁴×C₁₉	1	12	yes	—
1186	C₂²⋊C₄	C₂⁴×C₁₉	1	6	yes	—
1187	C₂²⋊C₄	C₂⁴×C₁₉	1	6	yes	—
1188	C₂²⋊C₄	C₂⁴×C₁₉	1	6	yes	—
1189	C₂²⋊C₄	C₂⁴×C₁₉	1	6	yes	—
1190	C₂²⋊C₄	C₂⁴×C₁₉	1	6	yes	—
1191	C₂²⋊C₄	C₂⁴×C₁₉	1	3	yes	—
1192	C₂²⋊C₄	C₂⁴×C₁₉	1	3	yes	—
1193	C₂²⋊C₄	C₂⁴×C₁₉	1	3	yes	—
1194	C₂²⋊C₄	C₂⁴×C₁₉	1	3	yes	—
1195	C₂²⋊C₄	C₂⁴×C₁₉	1	12	yes	—
1196	C₂²⋊C₄	C₂⁴×C₁₉	1	12	yes	—
1197	C₂²⋊C₄	C₂⁴×C₁₉	1	12	yes	—
1198	C₂²⋊C₄	C₂⁴×C₁₉	1	12	yes	—
1199	C₂²⋊C₄	C₂⁴×C₁₉	1	6	yes	—
1200	C₂²⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1201	C₂²⋊C₄	C₂⁴×C₁₉	1	6	yes	—
1202	C₂²⋊C₄	C₂⁴×C₁₉	1	6	yes	—
1203	C₂²⋊C₄	C₂⁴×C₁₉	1	6	yes	—
1204	C₂²⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1205	C₂²⋊C₄	C₂⁴×C₁₉	1	6	yes	—
1206	C₂²⋊C₄	C₂⁴×C₁₉	1	6	yes	—
1207	C₂²⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1208	C₂²⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1209	C₂²⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1210	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1211	C₄²	C₂⁴×C₁₉	1	3	yes	—
1212	C₄²	C₂⁴×C₁₉	1	3	yes	—
1213	C₄²	C₂⁴×C₁₉	1	3	yes	—
1214	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1215	C₄²	C₂⁴×C₁₉	1	3	yes	—
1216	C₄²	C₂⁴×C₁₉	1	2	yes	—
1217	C₄²	C₂⁴×C₁₉	1	6	yes	—
1218	C₄²	C₂⁴×C₁₉	1	6	yes	—
1219	C₄²	C₂⁴×C₁₉	1	6	yes	—
1220	C₄²	C₂⁴×C₁₉	1	6	yes	—
1221	C₄²	C₂⁴×C₁₉	1	12	yes	—
1222	C₄²	C₂⁴×C₁₉	1	6	yes	—
1223	C₄²	C₂⁴×C₁₉	1	6	yes	—
1224	C₄²	C₂⁴×C₁₉	1	3	yes	—
1225	C₄²	C₂⁴×C₁₉	1	3	yes	—
1226	C₄²	C₂⁴×C₁₉	1	6	yes	—
1227	C₂³	—	2	6	no	—
1228	C₂³	—	2	12	no	—
1229	C₂³	—	4	6	no	—
1230	C₂³	—	4	3	no	—
1231	C₂³	—	4	3	no	—
1232	C₂³	—	4	6	no	—
1233	C₂³	C₂⁵×C₁₉	1	1	yes	characteristic
1234	C₂³	C₂⁵×C₁₉	1	6	yes	—
1235	C₂³	C₂⁵×C₁₉	1	3	yes	—
1236	C₂³	C₂⁵×C₁₉	1	2	yes	—
1237	C₂³	C₂⁵×C₁₉	1	3	yes	—
1238	Q₈	—	2	12	no	—
1239	Q₈	—	2	6	no	—
1240	Q₈	—	2	6	no	—
1241	Q₈	—	2	2	no	—
1242	Q₈	—	4	6	no	—
1243	Q₈	—	4	12	no	—
1244	Q₈	—	4	2	no	—
1245	Q₈	C₂×#41×C₁₉	1	4	yes	—
1246	D₄	—	2	12	no	—
1247	D₄	—	2	12	no	—
1248	D₄	—	2	12	no	—
1249	D₄	—	2	12	no	—
1250	D₄	—	2	6	no	—
1251	D₄	—	2	6	no	—
1252	D₄	—	2	2	no	—
1253	D₄	—	4	6	no	—
1254	D₄	—	4	12	no	—
1255	D₄	—	4	6	no	—
1256	D₄	—	4	6	no	—
1257	D₄	—	4	6	no	—
1258	D₄	—	4	2	no	—
1259	D₄	—	4	6	no	—
1260	D₄	C₂×#41×C₁₉	1	12	yes	—
1261	C₂×C₄	—	2	6	no	—
1262	C₂×C₄	—	2	12	no	—
1263	C₂×C₄	—	2	2	no	—
1264	C₂×C₄	—	2	6	no	—
1265	C₂×C₄	—	2	6	no	—
1266	C₂×C₄	—	2	6	no	—
1267	C₂×C₄	—	2	12	no	—
1268	C₂×C₄	—	2	12	no	—
1269	C₂×C₄	—	4	3	no	—
1270	C₂×C₄	—	4	6	no	—
1271	C₂×C₄	—	4	6	no	—
1272	C₂×C₄	—	4	12	no	—
1273	C₂×C₄	—	4	6	no	—
1274	C₂×C₄	—	4	3	no	—
1275	C₂×C₄	—	4	6	no	—
1276	C₂×C₄	—	4	6	no	—
1277	C₂×C₄	—	4	3	no	—
1278	C₂×C₄	—	4	6	no	—
1279	C₂×C₄	—	4	6	no	—
1280	C₂×C₄	—	4	2	no	—
1281	C₂×C₄	—	4	3	no	—
1282	C₂×C₄	C₂×#41×C₁₉	1	12	yes	—
1283	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
1284	C₂×C₄	C₂⁵×C₁₉	1	3	yes	—
1285	C₂×C₄	C₂⁵×C₁₉	1	2	yes	—
1286	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
1287	C₂×C₄	C₂⁵×C₁₉	1	3	yes	—
1288	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
1289	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
1290	C₂×C₄	C₂⁵×C₁₉	1	2	yes	—
1291	C₂×C₄	C₂⁵×C₁₉	1	6	yes	—
1292	C₂×C₄	C₂⁵×C₁₉	1	3	yes	—
1293	C₂×C₄	C₂⁵×C₁₉	1	3	yes	—
1294	C₂×C₄	C₂⁵×C₁₉	1	3	yes	—
1295	C₂×C₄	C₂⁵×C₁₉	1	2	yes	—
1296	C₂×C₄	C₂⁵×C₁₉	1	6	yes	—
1297	C₂×C₄	C₂⁵×C₁₉	1	6	yes	—
1298	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
1299	C₂×C₄	C₂⁵×C₁₉	1	3	yes	—
1300	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
1301	C₂²	—	2	3	no	—
1302	C₂²	—	2	3	no	—
1303	C₂²	—	2	1	no	—
1304	C₂²	—	2	2	no	—
1305	C₂²	—	2	3	no	—
1306	C₂²	—	2	6	no	—
1307	C₂²	—	2	2	no	—
1308	C₂²	—	2	6	no	—
1309	C₂²	—	2	3	no	—
1310	C₂²	—	2	1	no	—
1311	C₂²	—	2	3	no	—
1312	C₂²	—	2	2	no	—
1313	C₂²	—	2	6	no	—
1314	C₂²	—	2	1	no	—
1315	C₂²	—	8	6	no	—
1316	C₂²	—	8	12	no	—
1317	C₂²	C₂²×#41×C₁₉	1	6	yes	—
1318	C₂²	C₂⁶×C₁₉	1	1	yes	characteristic
1319	C₄	—	2	1	no	—
1320	C₄	—	2	2	no	—
1321	C₄	—	2	3	no	—
1322	C₄	—	2	6	no	—
1323	C₄	—	2	1	no	—
1324	C₄	—	2	3	no	—
1325	C₄	—	2	6	no	—
1326	C₄	—	2	6	no	—
1327	C₄	—	2	3	no	—
1328	C₄	—	2	1	no	—
1329	C₄	—	2	1	no	—
1330	C₄	—	2	3	no	—
1331	C₄	—	2	3	no	—
1332	C₄	—	2	2	no	—
1333	C₄	—	2	1	no	—
1334	C₄	—	2	2	no	—
1335	C₄	C₂²×#41×C₁₉	1	6	yes	—
1336	C₄	C₂²×#41×C₁₉	1	2	yes	—
1337	C₂	—	2	6	no	—
1338	C₂	—	4	1	no	—
1339	C₂	—	4	6	no	—
1340	C₂	—	4	3	no	—
1341	C₂	—	4	2	no	—
1342	C₂	C₂³×#41×C₁₉	1	1	yes	characteristic
1343	C₂	C₁₉×H(7,𝔽₂)	1	1	yes	characteristic
1344	C₂	C₁₉×2₋¹⁺⁶	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₉	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁶×C₁₉
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₉×#3524	C₂	semidirect
2. C₁₉×#3522	C₂	semidirect
3. C₁₉×#3521	C₂	semidirect
4. C₁₉×#3520	C₂	semidirect
5. C₁₉×#3518	C₂	semidirect
6. C₁₉×#3516	C₂	semidirect
7. C₁₉×#3514	C₂	semidirect
8. C₁₉×#3513	C₂	semidirect
9. C₁₉×#3511	C₂	semidirect
10. C₁₉×#3510	C₂	semidirect
11. C₁₉×#3503	C₂	semidirect
12. C₁₉×#3500	C₂	semidirect
13. C₁₉×#3495	C₂	semidirect
14. C₁₉×#3494	C₂	semidirect
15. C₁₉×#3489	C₂	semidirect
16. C₁₉×#3488	C₂	semidirect
17. C₁₉×#3461	C₂	semidirect
18. C₁₉×#3460	C₂	semidirect
19. C₁₉×#3455	C₂	semidirect
20. C₂×C₁₉×#542	C₂	semidirect
21. C₄×C₁₉×2₋¹⁺⁴	C₂	semidirect
22. C₄×C₁₉×H(5,𝔽₂)	C₂	semidirect
23. C₁₉×#3428	C₂	semidirect
27. C₁₉×#559	C₂²	semidirect
28. C₁₉×#559	C₂²	semidirect
29. Q₈²×C₁₉	C₂²	semidirect
30. C₁₉×#557	C₂²	semidirect
31. C₁₉×#556	C₂²	semidirect
32. C₁₉×#556	C₂²	semidirect
33. C₁₉×#556	C₂²	semidirect
34. C₁₉×#556	C₂²	semidirect
35. C₁₉×#555	C₂²	semidirect
36. C₁₉×#555	C₂²	semidirect
37. C₁₉×#554	C₂²	semidirect
38. C₁₉×#554	C₂²	semidirect
39. C₁₉×#554	C₂²	semidirect
40. C₁₉×#553	C₂²	semidirect
41. C₁₉×#553	C₂²	semidirect
42. C₁₉×#553	C₂²	semidirect
43. C₁₉×#552	C₂²	semidirect
44. C₁₉×#552	C₂²	semidirect
45. C₁₉×#552	C₂²	semidirect
46. C₁₉×#551	C₂²	semidirect
47. C₁₉×#551	C₂²	semidirect
48. C₁₉×#551	C₂²	semidirect
49. C₁₉×#551	C₂²	semidirect
51. D₄×Q₈×C₁₉	C₂²	semidirect
52. D₄×Q₈×C₁₉	C₂²	semidirect
54. C₁₉×#548	C₂²	semidirect
55. C₁₉×#548	C₂²	semidirect
56. C₁₉×#548	C₂²	semidirect
57. C₁₉×#548	C₂²	semidirect
58. C₁₉×#547	C₂²	semidirect
59. C₁₉×#547	C₂²	semidirect
60. C₁₉×#547	C₂²	semidirect
62. C₁₉×#546	C₂²	semidirect
63. C₁₉×#546	C₂²	semidirect
64. C₁₉×#546	C₂²	semidirect
65. C₁₉×#546	C₂²	semidirect
67. C₁₉×#544	C₂²	semidirect
68. C₁₉×#544	C₂²	semidirect
69. C₁₉×#542	C₂²	semidirect
70. C₁₉×#542	C₂²	semidirect
71. C₁₉×#542	C₂²	semidirect
72. C₁₉×#542	C₂²	semidirect
73. C₁₉×#542	C₂²	semidirect
74. C₁₉×#542	C₂²	semidirect
75. C₁₉×#542	C₂²	semidirect
76. C₁₉×#542	C₂²	semidirect
77. C₁₉×#542	C₂²	semidirect
78. C₁₉×#542	C₂²	semidirect
79. C₁₉×#542	C₂²	semidirect
80. C₁₉×#542	C₂²	semidirect
81. C₁₉×#542	C₂²	semidirect
82. C₁₉×#541	C₂²	semidirect
83. C₁₉×#541	C₂²	semidirect
84. C₁₉×#541	C₂²	semidirect
85. C₁₉×#540	C₂²	semidirect
86. C₁₉×#540	C₂²	semidirect
87. C₁₉×#540	C₂²	semidirect
88. C₁₉×#539	C₂²	semidirect
89. C₁₉×#539	C₂²	semidirect
90. C₁₉×#539	C₂²	semidirect
91. C₁₉×#538	C₂²	semidirect
92. C₁₉×#538	C₂²	semidirect
93. C₁₉×#538	C₂²	semidirect
95. C₁₉×#537	C₂²	semidirect
96. C₁₉×#536	C₂²	semidirect
97. C₁₉×#536	C₂²	semidirect
99. C₁₉×#535	C₂²	semidirect
100. C₁₉×#533	C₂²	semidirect
101. C₁₉×#533	C₂²	semidirect
102. C₁₉×#533	C₂²	semidirect
103. C₁₉×#532	C₂²	semidirect
104. C₁₉×#532	C₂²	semidirect
105. C₁₉×#532	C₂²	semidirect
106. C₂×C₁₉×C₄⋊Q₈	C₂²	semidirect
107. C₁₉×#529	C₂²	semidirect
108. C₁₉×#529	C₂²	semidirect
109. C₁₉×#529	C₂²	semidirect
110. C₁₉×#529	C₂²	semidirect
111. C₁₉×#529	C₂²	semidirect
112. C₁₉×#529	C₂²	semidirect
113. C₁₉×#529	C₂²	semidirect
114. C₁₉×#529	C₂²	semidirect
115. C₁₉×#529	C₂²	semidirect
116. C₂×C₁₉×#126	C₂²	semidirect
117. C₂×C₁₉×#124	C₂²	semidirect
118. C₂×C₁₉×#124	C₂²	semidirect
120. C₁₉×#525	C₂²	semidirect
121. C₁₉×#525	C₂²	semidirect
122. C₂×C₁₉×#123	C₂²	semidirect
123. C₂×C₁₉×C₂²⋊Q₈	C₂²	semidirect
124. C₂×C₁₉×C₂²⋊Q₈	C₂²	semidirect
128. C₁₉×#520	C₂²	semidirect
129. C₁₉×#520	C₂²	semidirect
130. C₁₉×#520	C₂²	semidirect
131. C₁₉×#520	C₂²	semidirect
132. C₁₉×#520	C₂²	semidirect
133. C₁₉×#520	C₂²	semidirect
134. C₁₉×#520	C₂²	semidirect
135. C₁₉×#520	C₂²	semidirect
136. C₁₉×#519	C₂²	semidirect
137. C₁₉×#519	C₂²	semidirect
138. C₁₉×#519	C₂²	semidirect
139. C₁₉×#519	C₂²	semidirect
140. C₁₉×#518	C₂²	semidirect
141. C₁₉×#518	C₂²	semidirect
142. C₁₉×#518	C₂²	semidirect
143. C₁₉×#518	C₂²	semidirect
146. C₄×#41×C₁₉	C₂²	semidirect
147. C₄×#41×C₁₉	C₂²	semidirect
148. C₄×#41×C₁₉	C₂²	semidirect
149. C₄×#41×C₁₉	C₂²	semidirect
150. C₄×#41×C₁₉	C₂²	semidirect
151. C₄×#41×C₁₉	C₂²	semidirect
152. C₂×C₄×Q₈×C₁₉	C₂²	semidirect
153. C₂×C₄×Q₈×C₁₉	C₂²	semidirect
154. C₂×C₄×D₄×C₁₉	C₂²	semidirect
155. C₂×C₄×D₄×C₁₉	C₂²	semidirect
156. C₂×C₁₉×#117	C₂²	semidirect
157. C₂×C₁₉×#117	C₂²	semidirect
411. #41×C₁₉	#41	semidirect
554. #62857	C₁₉	direct (N × H)
629. #3524	C₂×C₁₉	semidirect
630. #3522	C₂×C₁₉	semidirect
631. #3521	C₂×C₁₉	semidirect
632. #3520	C₂×C₁₉	semidirect
633. #3518	C₂×C₁₉	semidirect
634. #3516	C₂×C₁₉	semidirect
635. #3514	C₂×C₁₉	semidirect
636. #3513	C₂×C₁₉	semidirect
637. #3511	C₂×C₁₉	semidirect
638. #3510	C₂×C₁₉	semidirect
639. #3503	C₂×C₁₉	semidirect
640. #3500	C₂×C₁₉	semidirect
641. #3495	C₂×C₁₉	semidirect
642. #3494	C₂×C₁₉	semidirect
643. #3489	C₂×C₁₉	semidirect
644. #3488	C₂×C₁₉	semidirect
645. #3461	C₂×C₁₉	semidirect
646. #3460	C₂×C₁₉	semidirect
647. #3455	C₂×C₁₉	semidirect
648. C₂×#542	C₂×C₁₉	semidirect
649. C₄×2₋¹⁺⁴	C₂×C₁₉	semidirect
650. C₄×H(5,𝔽₂)	C₂×C₁₉	semidirect
651. #3428	C₂×C₁₉	semidirect
691. #559	C₂²×C₁₉	semidirect
692. #559	C₂²×C₁₉	semidirect
693. Q₈²	C₂²×C₁₉	semidirect
694. #557	C₂²×C₁₉	semidirect
695. #556	C₂²×C₁₉	semidirect
696. #556	C₂²×C₁₉	semidirect
697. #556	C₂²×C₁₉	semidirect
698. #556	C₂²×C₁₉	semidirect
699. #555	C₂²×C₁₉	semidirect
700. #555	C₂²×C₁₉	semidirect
701. #554	C₂²×C₁₉	semidirect
702. #554	C₂²×C₁₉	semidirect
703. #554	C₂²×C₁₉	semidirect
704. #553	C₂²×C₁₉	semidirect
705. #553	C₂²×C₁₉	semidirect
706. #553	C₂²×C₁₉	semidirect
707. #552	C₂²×C₁₉	semidirect
708. #552	C₂²×C₁₉	semidirect
709. #552	C₂²×C₁₉	semidirect
710. #551	C₂²×C₁₉	semidirect
711. #551	C₂²×C₁₉	semidirect
712. #551	C₂²×C₁₉	semidirect
713. #551	C₂²×C₁₉	semidirect
715. D₄×Q₈	C₂²×C₁₉	semidirect
716. D₄×Q₈	C₂²×C₁₉	semidirect
718. #548	C₂²×C₁₉	semidirect
719. #548	C₂²×C₁₉	semidirect
720. #548	C₂²×C₁₉	semidirect
721. #548	C₂²×C₁₉	semidirect
722. #547	C₂²×C₁₉	semidirect
723. #547	C₂²×C₁₉	semidirect
724. #547	C₂²×C₁₉	semidirect
726. #546	C₂²×C₁₉	semidirect
727. #546	C₂²×C₁₉	semidirect
728. #546	C₂²×C₁₉	semidirect
729. #546	C₂²×C₁₉	semidirect
731. #544	C₂²×C₁₉	semidirect
732. #544	C₂²×C₁₉	semidirect
733. #542	C₂²×C₁₉	semidirect
734. #542	C₂²×C₁₉	semidirect
735. #542	C₂²×C₁₉	semidirect
736. #542	C₂²×C₁₉	semidirect
737. #542	C₂²×C₁₉	semidirect
738. #542	C₂²×C₁₉	semidirect
739. #542	C₂²×C₁₉	semidirect
740. #542	C₂²×C₁₉	semidirect
741. #542	C₂²×C₁₉	semidirect
742. #542	C₂²×C₁₉	semidirect
743. #542	C₂²×C₁₉	semidirect
744. #542	C₂²×C₁₉	semidirect
745. #542	C₂²×C₁₉	semidirect
746. #541	C₂²×C₁₉	semidirect
747. #541	C₂²×C₁₉	semidirect
748. #541	C₂²×C₁₉	semidirect
749. #540	C₂²×C₁₉	semidirect
750. #540	C₂²×C₁₉	semidirect
751. #540	C₂²×C₁₉	semidirect
752. #539	C₂²×C₁₉	semidirect
753. #539	C₂²×C₁₉	semidirect
754. #539	C₂²×C₁₉	semidirect
755. #538	C₂²×C₁₉	semidirect
756. #538	C₂²×C₁₉	semidirect
757. #538	C₂²×C₁₉	semidirect
759. #537	C₂²×C₁₉	semidirect
760. #536	C₂²×C₁₉	semidirect
761. #536	C₂²×C₁₉	semidirect
763. #535	C₂²×C₁₉	semidirect
764. #533	C₂²×C₁₉	semidirect
765. #533	C₂²×C₁₉	semidirect
766. #533	C₂²×C₁₉	semidirect
767. #532	C₂²×C₁₉	semidirect
768. #532	C₂²×C₁₉	semidirect
769. #532	C₂²×C₁₉	semidirect
770. C₂×C₄⋊Q₈	C₂²×C₁₉	semidirect
771. #529	C₂²×C₁₉	semidirect
772. #529	C₂²×C₁₉	semidirect
773. #529	C₂²×C₁₉	semidirect
774. #529	C₂²×C₁₉	semidirect
775. #529	C₂²×C₁₉	semidirect
776. #529	C₂²×C₁₉	semidirect
777. #529	C₂²×C₁₉	semidirect
778. #529	C₂²×C₁₉	semidirect
779. #529	C₂²×C₁₉	semidirect
780. C₂×#126	C₂²×C₁₉	semidirect
781. C₂×#124	C₂²×C₁₉	semidirect
782. C₂×#124	C₂²×C₁₉	semidirect
784. #525	C₂²×C₁₉	semidirect
785. #525	C₂²×C₁₉	semidirect
786. C₂×#123	C₂²×C₁₉	semidirect
787. C₂×C₂²⋊Q₈	C₂²×C₁₉	semidirect
788. C₂×C₂²⋊Q₈	C₂²×C₁₉	semidirect
792. #520	C₂²×C₁₉	semidirect
793. #520	C₂²×C₁₉	semidirect
794. #520	C₂²×C₁₉	semidirect
795. #520	C₂²×C₁₉	semidirect
796. #520	C₂²×C₁₉	semidirect
797. #520	C₂²×C₁₉	semidirect
798. #520	C₂²×C₁₉	semidirect
799. #520	C₂²×C₁₉	semidirect
800. #519	C₂²×C₁₉	semidirect
801. #519	C₂²×C₁₉	semidirect
802. #519	C₂²×C₁₉	semidirect
803. #519	C₂²×C₁₉	semidirect
804. #518	C₂²×C₁₉	semidirect
805. #518	C₂²×C₁₉	semidirect
806. #518	C₂²×C₁₉	semidirect
807. #518	C₂²×C₁₉	semidirect
810. C₄×#41	C₂²×C₁₉	semidirect
811. C₄×#41	C₂²×C₁₉	semidirect
812. C₄×#41	C₂²×C₁₉	semidirect
813. C₄×#41	C₂²×C₁₉	semidirect
814. C₄×#41	C₂²×C₁₉	semidirect
815. C₄×#41	C₂²×C₁₉	semidirect
816. C₂×C₄×Q₈	C₂²×C₁₉	semidirect
817. C₂×C₄×Q₈	C₂²×C₁₉	semidirect
818. C₂×C₄×D₄	C₂²×C₁₉	semidirect
819. C₂×C₄×D₄	C₂²×C₁₉	semidirect
820. C₂×#117	C₂²×C₁₉	semidirect
821. C₂×#117	C₂²×C₁₉	semidirect
1073. C₁₉	#62857	direct (N × H)
1084. #41	#41×C₁₉	semidirect

Maximal subgroups

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

subgroup	index
C₁₉×#3524	2
C₁₉×#3522	2
C₁₉×#3521	2
C₁₉×#3520	2
C₁₉×#3518	2
C₁₉×#3516	2
C₁₉×#3514	2
C₁₉×#3513	2
C₁₉×#3511	2
C₁₉×#3510	2
C₁₉×#3503	2
C₁₉×#3500	2
C₁₉×#3495	2
C₁₉×#3494	2
C₁₉×#3489	2
C₁₉×#3488	2
C₁₉×#3461	2
C₁₉×#3460	2
C₁₉×#3455	2
C₂×C₁₉×#542	2
C₄×C₁₉×2₋¹⁺⁴	2
C₄×C₁₉×H(5,𝔽₂)	2
C₁₉×#3428	2
#62857	19

Subgroups — C19×#62857 #18068816

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#62857 #18068816