Finite Group Databasebeta

← C19×#36843 #18042802

Subgroups — C19×#36843 #18042802

Order 4864.

1668 conjugacy classes of subgroups.

The subgroup lattice has 1442 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C19×#2853C211yesmaximal, characteristic, complemented
2C19×#2851C211yesmaximal, characteristic, complemented
3C19×#2781C211yesmaximal, characteristic, complemented
4C19×#2780C211yesmaximal, characteristic, complemented
5C19×#2779C211yesmaximal, characteristic, complemented
6C19×#2773C211yesmaximal, characteristic, complemented
7C19×#2770C211yesmaximal, characteristic, complemented
8C19×#2768C211yesmaximal, characteristic, complemented
9C19×#2761C211yesmaximal, characteristic, complemented
10C19×#2761C211yesmaximal, characteristic, complemented
11C19×#2756C211yesmaximal, characteristic, complemented
12C19×#2744C211yesmaximal, characteristic, complemented
13C19×#2726C211yesmaximal, characteristic, complemented
14C19×#2711C211yesmaximal, characteristic, complemented
15C19×#2708C211yesmaximal, characteristic, complemented
16C19×#2701C211yesmaximal, characteristic, complemented
17C19×#2694C211yesmaximal, characteristic, complemented
18C19×#2671C211yesmaximal, characteristic
19C19×#2633C211yesmaximal, characteristic, complemented
20C19×#2630C211yesmaximal, characteristic, complemented
21C19×#2524C211yesmaximal, characteristic, complemented
22C19×#2522C211yesmaximal, characteristic, complemented
23C19×#2518C211yesmaximal, characteristic, complemented
24C19×#2475C211yesmaximal, characteristic, complemented
25C19×#2473C211yesmaximal, characteristic, complemented
26C19×#2470C211yesmaximal, characteristic, complemented
27C19×#2460C211yesmaximal, characteristic, complemented
28C19×#2443C211yesmaximal, characteristic, complemented
29C19×#2324C211yesmaximal, characteristic, complemented
30C19×#2322C211yesmaximal, characteristic, complemented
31C4×C19×#121C211yesmaximal, characteristic, complemented
32C2×C19×#125C2211yescharacteristic
33C2×C19×#125C2211yescharacteristic
34C2×C19×#125C2211yescharacteristic
35C2×C19×#123C2211yescharacteristic
36C2×C19×#123C2211yescharacteristic
37C2×C19×#123C2211yescharacteristic
38C2×C19×#121C2211yescharacteristic
39C2×C19×#121C2211yescharacteristic
40C2×C19×#121C2211yescharacteristic
41C2×C4×D4×C19C2211yescharacteristic
42C2×C4×D4×C19C2211yescharacteristic
43C2×C4×D4×C19C2211yescharacteristic
44C2×C19×#117C2211yescharacteristic
45C22×C4⋊C4×C19C2211yescharacteristic
46C22×C42×C19C2211yescharacteristic
47C19×#400C2211yescharacteristic
48C19×#400C2211yescharacteristic
49C19×#400C2211yescharacteristic
50C19×#400C2211yescharacteristic
51C19×#400C2211yescharacteristic
52C19×#399C2211yescharacteristic
53C19×#399C2211yescharacteristic
54C19×#399C2211yescharacteristic
55C19×#399C2211yescharacteristic
56C19×#398C2211yescharacteristic
57C19×#398C2211yescharacteristic
58C19×#398C2211yescharacteristic
59C19×#398C2211yescharacteristic
60C19×#398C2211yescharacteristic
61C19×#398C2211yescharacteristic
62C19×#398C2211yescharacteristic
63C19×#398C2211yescharacteristic
64C19×#398C2211yescharacteristic
65C19×#398C2211yescharacteristic
66C19×#398C2211yescharacteristic
67C19×#398C2211yescharacteristic
68C19×#397C2211yescharacteristic
69C19×#397C2211yescharacteristic
70C19×#397C2211yescharacteristic
71C19×#397C2211yescharacteristic
72C19×#397C2211yescharacteristic
73C19×#397C2211yescharacteristic
74C19×#397C2211yescharacteristic
75C19×#397C2211yescharacteristic
76C19×#396C2211yescharacteristic
77C19×#396C2211yescharacteristic
78C19×#396C2211yescharacteristic
79C19×#396C2211yescharacteristic
80C19×#396C2211yescharacteristic
81C19×#396C2211yescharacteristic
82C19×#396C2211yescharacteristic
83C19×#394C2211yescharacteristic
84C19×#394C2211yescharacteristic
85C19×#394C2211yescharacteristic
86C19×#394C2211yescharacteristic
87C19×#394C2211yescharacteristic
88C19×#394C2211yescharacteristic
89C19×#394C2211yescharacteristic
90C19×#394C2211yescharacteristic
91C19×#394C2211yescharacteristic
92C19×#394C2211yescharacteristic
93C19×#394C2211yescharacteristic
94C19×#392C2211yescharacteristic
95C19×#390C2211yescharacteristic
96C19×#390C2211yescharacteristic
97C19×#390C2211yescharacteristic
98C19×#390C2211yescharacteristic
99C19×#389C2211yescharacteristic
100C19×#389C2211yescharacteristic
101C19×#389C2211yescharacteristic
102C19×#389C2211yescharacteristic
103C19×#389C2211yescharacteristic
104C19×#389C2211yescharacteristic
105C19×#389C2211yescharacteristic
106C19×#389C2211yescharacteristic
107C19×#389C2211yescharacteristic
108C19×#388C2211yescharacteristic
109C19×#388C2211yescharacteristic
110C19×#388C2211yescharacteristic
111C19×#388C2211yescharacteristic
112C19×#388C2211yescharacteristic
113C19×#388C2211yescharacteristic
114C19×#388C2211yescharacteristic
115C19×#388C2211yescharacteristic
116C19×#388C2211yescharacteristic
117C19×#388C2211yescharacteristic
118C19×#388C2211yescharacteristic
119C19×#388C2211yescharacteristic
120C19×#388C2211yescharacteristic
121C19×#388C2211yescharacteristic
122C19×#388C2211yescharacteristic
123C19×#388C2211yescharacteristic
124C19×#388C2211yescharacteristic
125C19×#388C2211yescharacteristic
126C19×#387C2211yescharacteristic
127C19×#387C2211yescharacteristic
128C19×#387C2211yescharacteristic
129C19×#387C2211yescharacteristic
130C19×#387C2211yescharacteristic
131C19×#387C2211yescharacteristic
132C19×#387C2211yescharacteristic
133C19×#387C2211yescharacteristic
134C19×#387C2211yescharacteristic
135C19×#387C2211yescharacteristic
136C19×#387C2211yescharacteristic
137C19×#387C2211yescharacteristic
138C19×#387C2211yescharacteristic
139C19×#387C2211yescharacteristic
140C19×#387C2211yescharacteristic
141C19×#387C2211yescharacteristic
142C19×#387C2211yescharacteristic
143C19×#386C2211yescharacteristic
144C19×#386C2211yescharacteristic
145C19×#386C2211yescharacteristic
146C19×#386C2211yescharacteristic
147C19×#386C2211yescharacteristic
148C19×#386C2211yescharacteristic
149C19×#386C2211yescharacteristic
150C19×#386C2211yescharacteristic
151C19×#386C2211yescharacteristic
152C19×#385C2211yescharacteristic
153C19×#385C2211yescharacteristic
154C19×#385C2211yescharacteristic
155C19×#385C2211yescharacteristic
156C19×#385C2211yescharacteristic
157C19×#385C2211yescharacteristic
158C19×#385C2211yescharacteristic
159C19×#385C2211yescharacteristic
160C19×#385C2211yescharacteristic
161C19×#385C2211yescharacteristic
162C19×#385C2211yescharacteristic
163C19×#385C2211yescharacteristic
164C19×#385C2211yescharacteristic
165C19×#385C2211yescharacteristic
166C19×#385C2211yescharacteristic
167C19×#385C2211yescharacteristic
168C19×#385C2211yescharacteristic
169C19×#383C2211yescharacteristic
170C19×#383C2211yescharacteristic
171C19×#382C2211yescharacteristic
172C19×#382C2211yescharacteristic
173C19×#382C2211yescharacteristic
174C19×#381C2211yescharacteristic
175C19×#381C2211yescharacteristic
176C19×#380C2211yescharacteristic
177C19×#380C2211yescharacteristic
178C19×#380C2211yescharacteristic
179C19×#380C2211yescharacteristic
180C19×#380C2211yescharacteristic
181C19×#380C2211yescharacteristic
182C4×C4⋊C4×C19C2211yescharacteristic
183C4×C4⋊C4×C19C2211yescharacteristic
184C4×C22⋊C4×C19C2211yescharacteristic
185C4×C22⋊C4×C19C2211yescharacteristic
186C4×C22⋊C4×C19C2211yescharacteristic
187C22×D4×C19C2311yescharacteristic
188C22×D4×C19C2311yescharacteristic
189C22×D4×C19C2311yescharacteristic
190C22×D4×C19C2311yescharacteristic
191C22×D4×C19C2311yescharacteristic
192C22×D4×C19C2311yescharacteristic
193C23×C4×C19C2311yescharacteristic
194C23×C4×C19C2311yescharacteristic
195C23×C4×C19C2311yescharacteristic
196C23×C4×C19C2311yescharacteristic
197C23×C4×C19C2311yescharacteristic
198C23×C4×C19C2311yescharacteristic
199C23×C4×C19C2311yescharacteristic
200C23×C4×C19C2311yescharacteristic
201C19×#125—42no—
202C19×#125—42no—
203C19×#125—42no—
204C19×#123—24no—
205C19×#123—42no—
206C19×#123—42no—
207C19×#121—24no—
208C19×#121—24no—
209C19×#121—42no—
210C4×D4×C19—42no—
211C4×D4×C19—42no—
212C4×D4×C19—42no—
213C19×#117—42no—
214C2×C4⋊C4×C19—42no—
215C2×C4⋊C4×C19C2311yescharacteristic
216C2×C4⋊C4×C19C2311yescharacteristic
217C2×C4⋊C4×C19C2311yescharacteristic
218C2×C4⋊C4×C19C2311yescharacteristic
219C2×C4⋊C4×C19C2311yescharacteristic
220C2×C4⋊C4×C19C2311yescharacteristic
221C2×C4⋊C4×C19C2311yescharacteristic
222C2×C4⋊C4×C19C2311yescharacteristic
223C2×C4⋊C4×C19C2311yescharacteristic
224C2×C4⋊C4×C19C2311yescharacteristic
225C2×C4⋊C4×C19C2311yescharacteristic
226C2×C4⋊C4×C19C2311yescharacteristic
227C2×C4⋊C4×C19C2311yescharacteristic
228C2×C4⋊C4×C19C2311yescharacteristic
229C2×C4⋊C4×C19C2311yescharacteristic
230C2×C4⋊C4×C19C2311yescharacteristic
231C2×C4⋊C4×C19C2311yescharacteristic
232C2×C4⋊C4×C19C2311yescharacteristic
233C2×C4⋊C4×C19C2311yescharacteristic
234C2×C4⋊C4×C19C2311yescharacteristic
235C2×C4⋊C4×C19C2311yescharacteristic
236C2×C4⋊C4×C19C2311yescharacteristic
237C2×C4⋊C4×C19C2311yescharacteristic
238C2×C4⋊C4×C19C2311yescharacteristic
239C2×C4⋊C4×C19C2311yescharacteristic
240C2×C4⋊C4×C19C2311yescharacteristic
241C2×C4⋊C4×C19C2311yescharacteristic
242C2×C4⋊C4×C19C2311yescharacteristic
243C2×C4⋊C4×C19C2311yescharacteristic
244C2×C4⋊C4×C19C2311yescharacteristic
245C2×C4⋊C4×C19C2311yescharacteristic
246C2×C4⋊C4×C19C2311yescharacteristic
247C2×C4⋊C4×C19C2311yescharacteristic
248C2×C4⋊C4×C19C2311yescharacteristic
249C2×C4⋊C4×C19C2311yescharacteristic
250C2×C4⋊C4×C19C2311yescharacteristic
251C2×C4⋊C4×C19C2311yescharacteristic
252C2×C4⋊C4×C19C2311yescharacteristic
253C2×C4⋊C4×C19C2311yescharacteristic
254C2×C4⋊C4×C19C2311yescharacteristic
255C2×C4⋊C4×C19C2311yescharacteristic
256C2×C4⋊C4×C19C2311yescharacteristic
257C2×C22⋊C4×C19C2311yescharacteristic
258C2×C22⋊C4×C19C2311yescharacteristic
259C2×C22⋊C4×C19C2311yescharacteristic
260C2×C22⋊C4×C19C2311yescharacteristic
261C2×C22⋊C4×C19C2311yescharacteristic
262C2×C22⋊C4×C19C2311yescharacteristic
263C2×C22⋊C4×C19C2311yescharacteristic
264C2×C22⋊C4×C19C2311yescharacteristic
265C2×C22⋊C4×C19C2311yescharacteristic
266C2×C22⋊C4×C19C2311yescharacteristic
267C2×C22⋊C4×C19C2311yescharacteristic
268C2×C22⋊C4×C19C2311yescharacteristic
269C2×C22⋊C4×C19C2311yescharacteristic
270C2×C22⋊C4×C19C2311yescharacteristic
271C2×C22⋊C4×C19C2311yescharacteristic
272C2×C22⋊C4×C19C2311yescharacteristic
273C2×C22⋊C4×C19C2311yescharacteristic
274C2×C22⋊C4×C19C2311yescharacteristic
275C2×C22⋊C4×C19C2311yescharacteristic
276C2×C22⋊C4×C19C2311yescharacteristic
277C2×C22⋊C4×C19C2311yescharacteristic
278C2×C22⋊C4×C19C2311yescharacteristic
279C2×C22⋊C4×C19C2311yescharacteristic
280C2×C22⋊C4×C19C2311yescharacteristic
281C2×C22⋊C4×C19C2311yescharacteristic
282C2×C22⋊C4×C19C2311yescharacteristic
283C2×C22⋊C4×C19C2311yescharacteristic
284C2×C22⋊C4×C19C2311yescharacteristic
285C2×C22⋊C4×C19C2311yescharacteristic
286C2×C22⋊C4×C19C2311yescharacteristic
287C2×C22⋊C4×C19C2311yescharacteristic
288C2×C22⋊C4×C19C2311yescharacteristic
289C2×C22⋊C4×C19C2311yescharacteristic
290C2×C22⋊C4×C19C2311yescharacteristic
291C2×C22⋊C4×C19C2311yescharacteristic
292C2×C22⋊C4×C19C2311yescharacteristic
293C2×C22⋊C4×C19C2311yescharacteristic
294C2×C22⋊C4×C19C2311yescharacteristic
295C2×C22⋊C4×C19C2311yescharacteristic
296C2×C22⋊C4×C19C2311yescharacteristic
297C2×C42×C19—42no—
298C2×C42×C19C2311yescharacteristic
299C2×C42×C19C2311yescharacteristic
300C2×C42×C19C2311yescharacteristic
301C2×C42×C19C2311yescharacteristic
302C2×C42×C19C2311yescharacteristic
303C2×C42×C19C2311yescharacteristic
304C2×C42×C19C2311yescharacteristic
305C2×C42×C19C2311yescharacteristic
306C2×C42×C19C2311yescharacteristic
307C2×C42×C19C2311yescharacteristic
308C2×C42×C19C2311yescharacteristic
309C19×#95C2311yescharacteristic
310C19×#95C2311yescharacteristic
311C19×#95C2311yescharacteristic
312C19×#95C2311yescharacteristic
313C19×#95C2311yescharacteristic
314C19×#95C2311yescharacteristic
315C19×#95C2311yescharacteristic
316C19×#95C2311yescharacteristic
317C19×#95C2311yescharacteristic
318C19×#95C2311yescharacteristic
319C19×#95C2311yescharacteristic
320C19×#95C2311yescharacteristic
321C19×#95C2311yescharacteristic
322C19×#95C2311yescharacteristic
323C19×#95C2311yescharacteristic
324C19×#95C2311yescharacteristic
325C19×#95C2311yescharacteristic
326C19×#95C2311yescharacteristic
327C19×#95C2311yescharacteristic
328C19×#95C2311yescharacteristic
329C19×#95C2311yescharacteristic
330C19×#95C2311yescharacteristic
331C19×#95C2311yescharacteristic
332C19×#95C2311yescharacteristic
333C19×#95C2311yescharacteristic
334C19×#95C2311yescharacteristic
335C19×#95C2311yescharacteristic
336C19×#95C2311yescharacteristic
337C19×#95C2311yescharacteristic
338C19×#95C2311yescharacteristic
339C19×#95C2311yescharacteristic
340C19×#95C2311yescharacteristic
341C19×#95C2311yescharacteristic
342C19×#95C2311yescharacteristic
343C19×#95C2311yescharacteristic
344C19×#95C2311yescharacteristic
345C19×#95C2311yescharacteristic
346C19×#95C2311yescharacteristic
347C19×#95C2311yescharacteristic
348C19×#95C2311yescharacteristic
349C19×#95C2311yescharacteristic
350C19×#95C2311yescharacteristic
351C19×#95C2311yescharacteristic
352C19×#95C2311yescharacteristic
353C19×#95C2311yescharacteristic
354C19×#95C2311yescharacteristic
355C19×#95C2311yescharacteristic
356C19×#95C2311yescharacteristic
357C24×C19C2411yescharacteristic
358C24×C19C2411yescharacteristic
359C24×C19C2411yescharacteristic
360C24×C19C2411yescharacteristic
361C2×D4×C19—22no—
362C2×D4×C19—22no—
363C2×D4×C19—22no—
364C2×D4×C19—22no—
365C2×D4×C19—22no—
366C2×D4×C19—41no—
367C2×D4×C19—41no—
368C2×D4×C19—41no—
369C2×D4×C19—41no—
370C2×D4×C19—41no—
371C2×D4×C19—41no—
372C2×D4×C19—41no—
373C2×D4×C19—41no—
374C2×D4×C19—41no—
375C2×D4×C19—41no—
376C2×D4×C19—41no—
377C2×D4×C19—41no—
378C2×D4×C19#4114yes—
379C22×C4×C19—22no—
380C22×C4×C19—22no—
381C22×C4×C19—22no—
382C22×C4×C19—22no—
383C22×C4×C19—22no—
384C22×C4×C19—22no—
385C22×C4×C19—22no—
386C22×C4×C19—22no—
387C22×C4×C19—41no—
388C22×C4×C19—41no—
389C22×C4×C19—41no—
390C22×C4×C19—41no—
391C22×C4×C19—41no—
392C22×C4×C19—41no—
393C22×C4×C19—41no—
394C22×C4×C19—41no—
395C22×C4×C19—41no—
396C22×C4×C19—41no—
397C22×C4×C19—41no—
398C22×C4×C19—41no—
399C22×C4×C19—41no—
400C22×C4×C19—41no—
401C22×C4×C19—41no—
402C22×C4×C19—41no—
403C22×C4×C19C2411yescharacteristic
404C22×C4×C19C2411yescharacteristic
405C22×C4×C19C2411yescharacteristic
406C22×C4×C19C2411yescharacteristic
407C22×C4×C19C2411yescharacteristic
408C22×C4×C19C2411yescharacteristic
409C22×C4×C19C2411yescharacteristic
410C22×C4×C19C2411yescharacteristic
411C22×C4×C19C2411yescharacteristic
412C22×C4×C19C2411yescharacteristic
413C22×C4×C19C2411yescharacteristic
414C22×C4×C19C2411yescharacteristic
415C22×C4×C19C2411yescharacteristic
416C22×C4×C19C2411yescharacteristic
417C22×C4×C19C2411yescharacteristic
418C22×C4×C19C2411yescharacteristic
419C22×C4×C19C2411yescharacteristic
420C22×C4×C19C2411yescharacteristic
421C22×C4×C19C2411yescharacteristic
422C22×C4×C19C2411yescharacteristic
423C22×C4×C19C2411yescharacteristic
424C22×C4×C19C2411yescharacteristic
425C22×C4×C19C2411yescharacteristic
426C22×C4×C19C2411yescharacteristic
427C22×C4×C19C2411yescharacteristic
428C22×C4×C19C2411yescharacteristic
429C22×C4×C19C2411yescharacteristic
430C4⋊C4×C19—22no—
431C4⋊C4×C19—22no—
432C4⋊C4×C19—22no—
433C4⋊C4×C19—22no—
434C4⋊C4×C19—22no—
435C4⋊C4×C19—22no—
436C4⋊C4×C19—22no—
437C4⋊C4×C19—22no—
438C4⋊C4×C19—22no—
439C4⋊C4×C19—22no—
440C4⋊C4×C19—22no—
441C4⋊C4×C19—22no—
442C4⋊C4×C19—41no—
443C4⋊C4×C19—41no—
444C4⋊C4×C19—41no—
445C4⋊C4×C19—41no—
446C4⋊C4×C19—41no—
447C4⋊C4×C19—41no—
448C4⋊C4×C19—41no—
449C4⋊C4×C19—41no—
450C4⋊C4×C19—41no—
451C4⋊C4×C19—41no—
452C4⋊C4×C19—41no—
453C4⋊C4×C19—41no—
454C4⋊C4×C19—41no—
455C4⋊C4×C19—41no—
456C4⋊C4×C19—41no—
457C4⋊C4×C19—41no—
458C4⋊C4×C19—41no—
459C4⋊C4×C19—41no—
460C4⋊C4×C19—41no—
461C4⋊C4×C19—41no—
462C4⋊C4×C19—41no—
463C4⋊C4×C19—41no—
464C4⋊C4×C19—41no—
465C4⋊C4×C19—41no—
466C4⋊C4×C19—41no—
467C4⋊C4×C19—41no—
468C4⋊C4×C19—41no—
469C4⋊C4×C19—41no—
470C4⋊C4×C19—41no—
471C4⋊C4×C19—41no—
472C22⋊C4×C19—22no—
473C22⋊C4×C19—22no—
474C22⋊C4×C19—22no—
475C22⋊C4×C19—22no—
476C22⋊C4×C19—22no—
477C22⋊C4×C19—22no—
478C22⋊C4×C19—22no—
479C22⋊C4×C19—22no—
480C22⋊C4×C19—22no—
481C22⋊C4×C19—22no—
482C22⋊C4×C19—22no—
483C22⋊C4×C19—22no—
484C22⋊C4×C19—41no—
485C22⋊C4×C19—41no—
486C22⋊C4×C19—41no—
487C22⋊C4×C19—41no—
488C22⋊C4×C19—41no—
489C22⋊C4×C19—41no—
490C22⋊C4×C19—41no—
491C22⋊C4×C19—41no—
492C22⋊C4×C19—41no—
493C22⋊C4×C19—41no—
494C22⋊C4×C19—41no—
495C22⋊C4×C19—41no—
496C22⋊C4×C19—41no—
497C22⋊C4×C19—41no—
498C22⋊C4×C19—41no—
499C22⋊C4×C19—41no—
500C22⋊C4×C19—41no—
501C22⋊C4×C19—41no—
502C22⋊C4×C19—41no—
503C22⋊C4×C19—41no—
504C22⋊C4×C19—41no—
505C22⋊C4×C19—41no—
506C22⋊C4×C19—41no—
507C22⋊C4×C19—41no—
508C22⋊C4×C19—41no—
509C22⋊C4×C19—41no—
510C22⋊C4×C19—41no—
511C22⋊C4×C19—41no—
512C42×C19—22no—
513C42×C19—22no—
514C42×C19—22no—
515C42×C19—22no—
516C42×C19—41no—
517C42×C19—41no—
518C42×C19—41no—
519C42×C19—41no—
520C42×C19—41no—
521C42×C19—41no—
522C42×C19—41no—
523#36843C1911yesmaximal, characteristic, direct product factor, Sylow
524C23×C19—21no—
525C23×C19—21no—
526C23×C19—21no—
527C23×C19—21no—
528C23×C19—21no—
529C23×C19—21no—
530C23×C19—21no—
531C23×C19—21no—
532C23×C19—21no—
533C23×C19—21no—
534C23×C19—21no—
535C23×C19—21no—
536C23×C19—21no—
537C23×C19—21no—
538C23×C19—21no—
539C23×C19—21no—
540C23×C19—21no—
541C23×C19—21no—
542C23×C19—21no—
543C23×C19—21no—
544C23×C19—21no—
545C23×C19—21no—
546C23×C19—21no—
547C23×C19—21no—
548C23×C19—21no—
549C23×C19—21no—
550C23×C19C2×#4112yes—
551C23×C19C2×#4112yes—
552C23×C19C2511yescharacteristic
553D4×C19—44no—
554D4×C19—44no—
555D4×C19—44no—
556D4×C19—82no—
557D4×C19—82no—
558D4×C19—82no—
559C2×C4×C19—21no—
560C2×C4×C19—21no—
561C2×C4×C19—21no—
562C2×C4×C19—21no—
563C2×C4×C19—21no—
564C2×C4×C19—21no—
565C2×C4×C19—21no—
566C2×C4×C19—21no—
567C2×C4×C19—21no—
568C2×C4×C19—21no—
569C2×C4×C19—21no—
570C2×C4×C19—21no—
571C2×C4×C19—21no—
572C2×C4×C19—21no—
573C2×C4×C19—21no—
574C2×C4×C19—21no—
575C2×C4×C19—21no—
576C2×C4×C19—21no—
577C2×C4×C19—21no—
578C2×C4×C19—21no—
579C2×C4×C19—21no—
580C2×C4×C19—21no—
581C2×C4×C19—21no—
582C2×C4×C19—21no—
583C2×C4×C19—21no—
584C2×C4×C19—21no—
585C2×C4×C19—21no—
586C2×C4×C19—21no—
587C2×C4×C19—21no—
588C2×C4×C19—21no—
589C2×C4×C19—21no—
590C2×C4×C19—21no—
591C2×C4×C19—21no—
592C2×C4×C19—21no—
593C2×C4×C19—21no—
594C2×C4×C19—21no—
595C2×C4×C19—21no—
596C2×C4×C19—21no—
597C2×C4×C19—21no—
598C2×C4×C19—21no—
599C2×C4×C19—21no—
600C2×C4×C19—21no—
601C2×C4×C19—21no—
602C2×C4×C19—21no—
603C2×C4×C19—21no—
604C2×C4×C19—21no—
605C2×C4×C19—21no—
606C2×C4×C19—21no—
607C2×C4×C19—21no—
608C2×C4×C19—21no—
609C2×C4×C19—21no—
610C2×C4×C19—21no—
611C2×C4×C19—21no—
612C2×C4×C19—21no—
613C2×C4×C19—21no—
614C2×C4×C19—21no—
615C2×C4×C19—21no—
616C2×C4×C19—21no—
617C2×C4×C19—21no—
618C2×C4×C19—21no—
619C2×C4×C19—21no—
620C2×C4×C19—21no—
621C2×C4×C19—21no—
622C2×C4×C19—21no—
623C2×C4×C19—21no—
624C2×C4×C19—21no—
625C2×C4×C19—21no—
626C2×C4×C19—21no—
627C2×C4×C19—21no—
628C2×C4×C19—21no—
629C2×C4×C19—21no—
630C2×C4×C19—21no—
631C2×C4×C19—21no—
632C2×C4×C19—21no—
633C2×C4×C19—21no—
634C2×C4×C19—21no—
635C2×C4×C19—21no—
636C2×C4×C19—44no—
637C2×C4×C19—44no—
638C2×C4×C19—44no—
639C2×C4×C19—44no—
640C2×C4×C19—44no—
641C2×C4×C19—82no—
642C2×C4×C19—82no—
643C2×C4×C19—82no—
644C2×C4×C19C2×#4112yes—
645C2×C4×C19H(5,𝔽2)12yes—
646C2×C4×C19H(5,𝔽2)12yes—
647C2×C4×C192−1+412yes—
648#2853C2×C1911yescharacteristic, complemented
649#2851C2×C1911yescharacteristic, complemented
650#2781C2×C1911yescharacteristic, complemented
651#2780C2×C1911yescharacteristic, complemented
652#2779C2×C1911yescharacteristic, complemented
653#2773C2×C1911yescharacteristic, complemented
654#2770C2×C1911yescharacteristic, complemented
655#2768C2×C1911yescharacteristic, complemented
656#2761C2×C1911yescharacteristic, complemented
657#2761C2×C1911yescharacteristic, complemented
658#2756C2×C1911yescharacteristic, complemented
659#2744C2×C1911yescharacteristic, complemented
660#2726C2×C1911yescharacteristic, complemented
661#2711C2×C1911yescharacteristic, complemented
662#2708C2×C1911yescharacteristic, complemented
663#2701C2×C1911yescharacteristic, complemented
664#2694C2×C1911yescharacteristic, complemented
665#2671C2×C1911yescharacteristic
666#2633C2×C1911yescharacteristic, complemented
667#2630C2×C1911yescharacteristic, complemented
668#2524C2×C1911yescharacteristic, complemented
669#2522C2×C1911yescharacteristic, complemented
670#2518C2×C1911yescharacteristic, complemented
671#2475C2×C1911yescharacteristic, complemented
672#2473C2×C1911yescharacteristic, complemented
673#2470C2×C1911yescharacteristic, complemented
674#2460C2×C1911yescharacteristic, complemented
675#2443C2×C1911yescharacteristic, complemented
676#2324C2×C1911yescharacteristic, complemented
677#2322C2×C1911yescharacteristic, complemented
678C4×#121C2×C1911yescharacteristic, complemented
679C22×C19—22no—
680C22×C19—22no—
681C22×C19—22no—
682C22×C19—22no—
683C22×C19—22no—
684C22×C19—22no—
685C22×C19—41no—
686C22×C19—41no—
687C22×C19—41no—
688C22×C19—41no—
689C22×C19—41no—
690C22×C19—41no—
691C22×C19—41no—
692C22×C19—41no—
693C22×C19—41no—
694C22×C19—41no—
695C22×C19—41no—
696C22×C19—41no—
697C22×C19—41no—
698C22×C19—41no—
699C22×C19—41no—
700C22×C19—41no—
701C22×C19—41no—
702C22×C19—41no—
703C22×C19—41no—
704C22×C19—41no—
705C22×C19—41no—
706C22×C19—41no—
707C22×C19C22×#4111yescharacteristic
708C22×C19C2×H(5,𝔽2)11yescharacteristic
709C22×C19C2×H(5,𝔽2)11yescharacteristic
710C22×C19C2×2−1+411yescharacteristic
711C22×C19#58511yescharacteristic
712C22×C19#58511yescharacteristic
713C22×C19#58511yescharacteristic
714C4×C19—22no—
715C4×C19—22no—
716C4×C19—22no—
717C4×C19—22no—
718C4×C19—41no—
719C4×C19—41no—
720C4×C19—41no—
721C4×C19—41no—
722C4×C19—41no—
723C4×C19—41no—
724C4×C19—41no—
725C4×C19—41no—
726C4×C19—41no—
727C4×C19—41no—
728C4×C19—41no—
729C4×C19—41no—
730C4×C19—41no—
731C4×C19—41no—
732C4×C19—41no—
733C4×C19—41no—
734C4×C19—41no—
735C4×C19—41no—
736C4×C19—41no—
737C4×C19—41no—
738C4×C19—41no—
739C4×C19—41no—
740C4×C19—41no—
741C2×#125C22×C1911yescharacteristic
742C2×#125C22×C1911yescharacteristic
743C2×#125C22×C1911yescharacteristic
744C2×#123C22×C1911yescharacteristic
745C2×#123C22×C1911yescharacteristic
746C2×#123C22×C1911yescharacteristic
747C2×#121C22×C1911yescharacteristic
748C2×#121C22×C1911yescharacteristic
749C2×#121C22×C1911yescharacteristic
750C2×C4×D4C22×C1911yescharacteristic
751C2×C4×D4C22×C1911yescharacteristic
752C2×C4×D4C22×C1911yescharacteristic
753C2×#117C22×C1911yescharacteristic
754C22×C4⋊C4C22×C1911yescharacteristic
755C22×C42C22×C1911yescharacteristic
756#400C22×C1911yescharacteristic
757#400C22×C1911yescharacteristic
758#400C22×C1911yescharacteristic
759#400C22×C1911yescharacteristic
760#400C22×C1911yescharacteristic
761#399C22×C1911yescharacteristic
762#399C22×C1911yescharacteristic
763#399C22×C1911yescharacteristic
764#399C22×C1911yescharacteristic
765#398C22×C1911yescharacteristic
766#398C22×C1911yescharacteristic
767#398C22×C1911yescharacteristic
768#398C22×C1911yescharacteristic
769#398C22×C1911yescharacteristic
770#398C22×C1911yescharacteristic
771#398C22×C1911yescharacteristic
772#398C22×C1911yescharacteristic
773#398C22×C1911yescharacteristic
774#398C22×C1911yescharacteristic
775#398C22×C1911yescharacteristic
776#398C22×C1911yescharacteristic
777#397C22×C1911yescharacteristic
778#397C22×C1911yescharacteristic
779#397C22×C1911yescharacteristic
780#397C22×C1911yescharacteristic
781#397C22×C1911yescharacteristic
782#397C22×C1911yescharacteristic
783#397C22×C1911yescharacteristic
784#397C22×C1911yescharacteristic
785#396C22×C1911yescharacteristic
786#396C22×C1911yescharacteristic
787#396C22×C1911yescharacteristic
788#396C22×C1911yescharacteristic
789#396C22×C1911yescharacteristic
790#396C22×C1911yescharacteristic
791#396C22×C1911yescharacteristic
792#394C22×C1911yescharacteristic
793#394C22×C1911yescharacteristic
794#394C22×C1911yescharacteristic
795#394C22×C1911yescharacteristic
796#394C22×C1911yescharacteristic
797#394C22×C1911yescharacteristic
798#394C22×C1911yescharacteristic
799#394C22×C1911yescharacteristic
800#394C22×C1911yescharacteristic
801#394C22×C1911yescharacteristic
802#394C22×C1911yescharacteristic
803#392C22×C1911yescharacteristic
804#390C22×C1911yescharacteristic
805#390C22×C1911yescharacteristic
806#390C22×C1911yescharacteristic
807#390C22×C1911yescharacteristic
808#389C22×C1911yescharacteristic
809#389C22×C1911yescharacteristic
810#389C22×C1911yescharacteristic
811#389C22×C1911yescharacteristic
812#389C22×C1911yescharacteristic
813#389C22×C1911yescharacteristic
814#389C22×C1911yescharacteristic
815#389C22×C1911yescharacteristic
816#389C22×C1911yescharacteristic
817#388C22×C1911yescharacteristic
818#388C22×C1911yescharacteristic
819#388C22×C1911yescharacteristic
820#388C22×C1911yescharacteristic
821#388C22×C1911yescharacteristic
822#388C22×C1911yescharacteristic
823#388C22×C1911yescharacteristic
824#388C22×C1911yescharacteristic
825#388C22×C1911yescharacteristic
826#388C22×C1911yescharacteristic
827#388C22×C1911yescharacteristic
828#388C22×C1911yescharacteristic
829#388C22×C1911yescharacteristic
830#388C22×C1911yescharacteristic
831#388C22×C1911yescharacteristic
832#388C22×C1911yescharacteristic
833#388C22×C1911yescharacteristic
834#388C22×C1911yescharacteristic
835#387C22×C1911yescharacteristic
836#387C22×C1911yescharacteristic
837#387C22×C1911yescharacteristic
838#387C22×C1911yescharacteristic
839#387C22×C1911yescharacteristic
840#387C22×C1911yescharacteristic
841#387C22×C1911yescharacteristic
842#387C22×C1911yescharacteristic
843#387C22×C1911yescharacteristic
844#387C22×C1911yescharacteristic
845#387C22×C1911yescharacteristic
846#387C22×C1911yescharacteristic
847#387C22×C1911yescharacteristic
848#387C22×C1911yescharacteristic
849#387C22×C1911yescharacteristic
850#387C22×C1911yescharacteristic
851#387C22×C1911yescharacteristic
852#386C22×C1911yescharacteristic
853#386C22×C1911yescharacteristic
854#386C22×C1911yescharacteristic
855#386C22×C1911yescharacteristic
856#386C22×C1911yescharacteristic
857#386C22×C1911yescharacteristic
858#386C22×C1911yescharacteristic
859#386C22×C1911yescharacteristic
860#386C22×C1911yescharacteristic
861#385C22×C1911yescharacteristic
862#385C22×C1911yescharacteristic
863#385C22×C1911yescharacteristic
864#385C22×C1911yescharacteristic
865#385C22×C1911yescharacteristic
866#385C22×C1911yescharacteristic
867#385C22×C1911yescharacteristic
868#385C22×C1911yescharacteristic
869#385C22×C1911yescharacteristic
870#385C22×C1911yescharacteristic
871#385C22×C1911yescharacteristic
872#385C22×C1911yescharacteristic
873#385C22×C1911yescharacteristic
874#385C22×C1911yescharacteristic
875#385C22×C1911yescharacteristic
876#385C22×C1911yescharacteristic
877#385C22×C1911yescharacteristic
878#383C22×C1911yescharacteristic
879#383C22×C1911yescharacteristic
880#382C22×C1911yescharacteristic
881#382C22×C1911yescharacteristic
882#382C22×C1911yescharacteristic
883#381C22×C1911yescharacteristic
884#381C22×C1911yescharacteristic
885#380C22×C1911yescharacteristic
886#380C22×C1911yescharacteristic
887#380C22×C1911yescharacteristic
888#380C22×C1911yescharacteristic
889#380C22×C1911yescharacteristic
890#380C22×C1911yescharacteristic
891C4×C4⋊C4C22×C1911yescharacteristic
892C4×C4⋊C4C22×C1911yescharacteristic
893C4×C22⋊C4C22×C1911yescharacteristic
894C4×C22⋊C4C22×C1911yescharacteristic
895C4×C22⋊C4C22×C1911yescharacteristic
896C2×C19—42no—
897C2×C19—42no—
898C2×C19—81no—
899C2×C19—81no—
900C2×C19#345911yescharacteristic
901C2×C19#351311yescharacteristic
902C2×C19#351511yescharacteristic
903C2×C19#354111yescharacteristic
904C2×C19#354211yescharacteristic
905C2×C19#354711yescharacteristic
906C2×C19#356711yescharacteristic
907C22×D4C23×C1911yescharacteristic
908C22×D4C23×C1911yescharacteristic
909C22×D4C23×C1911yescharacteristic
910C22×D4C23×C1911yescharacteristic
911C22×D4C23×C1911yescharacteristic
912C22×D4C23×C1911yescharacteristic
913C23×C4C23×C1911yescharacteristic
914C23×C4C23×C1911yescharacteristic
915C23×C4C23×C1911yescharacteristic
916C23×C4C23×C1911yescharacteristic
917C23×C4C23×C1911yescharacteristic
918C23×C4C23×C1911yescharacteristic
919C23×C4C23×C1911yescharacteristic
920C23×C4C23×C1911yescharacteristic
921#125—42no—
922#125—42no—
923#125—42no—
924#123—24no—
925#123—42no—
926#123—42no—
927#121—24no—
928#121—24no—
929#121—42no—
930C4×D4—42no—
931C4×D4—42no—
932C4×D4—42no—
933#117—42no—
934C2×C4⋊C4—42no—
935C2×C4⋊C4C23×C1911yescharacteristic
936C2×C4⋊C4C23×C1911yescharacteristic
937C2×C4⋊C4C23×C1911yescharacteristic
938C2×C4⋊C4C23×C1911yescharacteristic
939C2×C4⋊C4C23×C1911yescharacteristic
940C2×C4⋊C4C23×C1911yescharacteristic
941C2×C4⋊C4C23×C1911yescharacteristic
942C2×C4⋊C4C23×C1911yescharacteristic
943C2×C4⋊C4C23×C1911yescharacteristic
944C2×C4⋊C4C23×C1911yescharacteristic
945C2×C4⋊C4C23×C1911yescharacteristic
946C2×C4⋊C4C23×C1911yescharacteristic
947C2×C4⋊C4C23×C1911yescharacteristic
948C2×C4⋊C4C23×C1911yescharacteristic
949C2×C4⋊C4C23×C1911yescharacteristic
950C2×C4⋊C4C23×C1911yescharacteristic
951C2×C4⋊C4C23×C1911yescharacteristic
952C2×C4⋊C4C23×C1911yescharacteristic
953C2×C4⋊C4C23×C1911yescharacteristic
954C2×C4⋊C4C23×C1911yescharacteristic
955C2×C4⋊C4C23×C1911yescharacteristic
956C2×C4⋊C4C23×C1911yescharacteristic
957C2×C4⋊C4C23×C1911yescharacteristic
958C2×C4⋊C4C23×C1911yescharacteristic
959C2×C4⋊C4C23×C1911yescharacteristic
960C2×C4⋊C4C23×C1911yescharacteristic
961C2×C4⋊C4C23×C1911yescharacteristic
962C2×C4⋊C4C23×C1911yescharacteristic
963C2×C4⋊C4C23×C1911yescharacteristic
964C2×C4⋊C4C23×C1911yescharacteristic
965C2×C4⋊C4C23×C1911yescharacteristic
966C2×C4⋊C4C23×C1911yescharacteristic
967C2×C4⋊C4C23×C1911yescharacteristic
968C2×C4⋊C4C23×C1911yescharacteristic
969C2×C4⋊C4C23×C1911yescharacteristic
970C2×C4⋊C4C23×C1911yescharacteristic
971C2×C4⋊C4C23×C1911yescharacteristic
972C2×C4⋊C4C23×C1911yescharacteristic
973C2×C4⋊C4C23×C1911yescharacteristic
974C2×C4⋊C4C23×C1911yescharacteristic
975C2×C4⋊C4C23×C1911yescharacteristic
976C2×C4⋊C4C23×C1911yescharacteristic
977C2×C22⋊C4C23×C1911yescharacteristic
978C2×C22⋊C4C23×C1911yescharacteristic
979C2×C22⋊C4C23×C1911yescharacteristic
980C2×C22⋊C4C23×C1911yescharacteristic
981C2×C22⋊C4C23×C1911yescharacteristic
982C2×C22⋊C4C23×C1911yescharacteristic
983C2×C22⋊C4C23×C1911yescharacteristic
984C2×C22⋊C4C23×C1911yescharacteristic
985C2×C22⋊C4C23×C1911yescharacteristic
986C2×C22⋊C4C23×C1911yescharacteristic
987C2×C22⋊C4C23×C1911yescharacteristic
988C2×C22⋊C4C23×C1911yescharacteristic
989C2×C22⋊C4C23×C1911yescharacteristic
990C2×C22⋊C4C23×C1911yescharacteristic
991C2×C22⋊C4C23×C1911yescharacteristic
992C2×C22⋊C4C23×C1911yescharacteristic
993C2×C22⋊C4C23×C1911yescharacteristic
994C2×C22⋊C4C23×C1911yescharacteristic
995C2×C22⋊C4C23×C1911yescharacteristic
996C2×C22⋊C4C23×C1911yescharacteristic
997C2×C22⋊C4C23×C1911yescharacteristic
998C2×C22⋊C4C23×C1911yescharacteristic
999C2×C22⋊C4C23×C1911yescharacteristic
1000C2×C22⋊C4C23×C1911yescharacteristic
1001C2×C22⋊C4C23×C1911yescharacteristic
1002C2×C22⋊C4C23×C1911yescharacteristic
1003C2×C22⋊C4C23×C1911yescharacteristic
1004C2×C22⋊C4C23×C1911yescharacteristic
1005C2×C22⋊C4C23×C1911yescharacteristic
1006C2×C22⋊C4C23×C1911yescharacteristic
1007C2×C22⋊C4C23×C1911yescharacteristic
1008C2×C22⋊C4C23×C1911yescharacteristic
1009C2×C22⋊C4C23×C1911yescharacteristic
1010C2×C22⋊C4C23×C1911yescharacteristic
1011C2×C22⋊C4C23×C1911yescharacteristic
1012C2×C22⋊C4C23×C1911yescharacteristic
1013C2×C22⋊C4C23×C1911yescharacteristic
1014C2×C22⋊C4C23×C1911yescharacteristic
1015C2×C22⋊C4C23×C1911yescharacteristic
1016C2×C22⋊C4C23×C1911yescharacteristic
1017C2×C42—42no—
1018C2×C42C23×C1911yescharacteristic
1019C2×C42C23×C1911yescharacteristic
1020C2×C42C23×C1911yescharacteristic
1021C2×C42C23×C1911yescharacteristic
1022C2×C42C23×C1911yescharacteristic
1023C2×C42C23×C1911yescharacteristic
1024C2×C42C23×C1911yescharacteristic
1025C2×C42C23×C1911yescharacteristic
1026C2×C42C23×C1911yescharacteristic
1027C2×C42C23×C1911yescharacteristic
1028C2×C42C23×C1911yescharacteristic
1029#95C23×C1911yescharacteristic
1030#95C23×C1911yescharacteristic
1031#95C23×C1911yescharacteristic
1032#95C23×C1911yescharacteristic
1033#95C23×C1911yescharacteristic
1034#95C23×C1911yescharacteristic
1035#95C23×C1911yescharacteristic
1036#95C23×C1911yescharacteristic
1037#95C23×C1911yescharacteristic
1038#95C23×C1911yescharacteristic
1039#95C23×C1911yescharacteristic
1040#95C23×C1911yescharacteristic
1041#95C23×C1911yescharacteristic
1042#95C23×C1911yescharacteristic
1043#95C23×C1911yescharacteristic
1044#95C23×C1911yescharacteristic
1045#95C23×C1911yescharacteristic
1046#95C23×C1911yescharacteristic
1047#95C23×C1911yescharacteristic
1048#95C23×C1911yescharacteristic
1049#95C23×C1911yescharacteristic
1050#95C23×C1911yescharacteristic
1051#95C23×C1911yescharacteristic
1052#95C23×C1911yescharacteristic
1053#95C23×C1911yescharacteristic
1054#95C23×C1911yescharacteristic
1055#95C23×C1911yescharacteristic
1056#95C23×C1911yescharacteristic
1057#95C23×C1911yescharacteristic
1058#95C23×C1911yescharacteristic
1059#95C23×C1911yescharacteristic
1060#95C23×C1911yescharacteristic
1061#95C23×C1911yescharacteristic
1062#95C23×C1911yescharacteristic
1063#95C23×C1911yescharacteristic
1064#95C23×C1911yescharacteristic
1065#95C23×C1911yescharacteristic
1066#95C23×C1911yescharacteristic
1067#95C23×C1911yescharacteristic
1068#95C23×C1911yescharacteristic
1069#95C23×C1911yescharacteristic
1070#95C23×C1911yescharacteristic
1071#95C23×C1911yescharacteristic
1072#95C23×C1911yescharacteristic
1073#95C23×C1911yescharacteristic
1074#95C23×C1911yescharacteristic
1075#95C23×C1911yescharacteristic
1076#95C23×C1911yescharacteristic
1077C19#3684311yescharacteristic, direct product factor, Sylow
1078C24C24×C1911yescharacteristic
1079C24C24×C1911yescharacteristic
1080C24C24×C1911yescharacteristic
1081C24C24×C1911yescharacteristic
1082C2×D4—22no—
1083C2×D4—22no—
1084C2×D4—22no—
1085C2×D4—22no—
1086C2×D4—22no—
1087C2×D4—41no—
1088C2×D4—41no—
1089C2×D4—41no—
1090C2×D4—41no—
1091C2×D4—41no—
1092C2×D4—41no—
1093C2×D4—41no—
1094C2×D4—41no—
1095C2×D4—41no—
1096C2×D4—41no—
1097C2×D4—41no—
1098C2×D4—41no—
1099C2×D4#41×C1914yes—
1100C22×C4—22no—
1101C22×C4—22no—
1102C22×C4—22no—
1103C22×C4—22no—
1104C22×C4—22no—
1105C22×C4—22no—
1106C22×C4—22no—
1107C22×C4—22no—
1108C22×C4—41no—
1109C22×C4—41no—
1110C22×C4—41no—
1111C22×C4—41no—
1112C22×C4—41no—
1113C22×C4—41no—
1114C22×C4—41no—
1115C22×C4—41no—
1116C22×C4—41no—
1117C22×C4—41no—
1118C22×C4—41no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—41no—
1123C22×C4—41no—
1124C22×C4C24×C1911yescharacteristic
1125C22×C4C24×C1911yescharacteristic
1126C22×C4C24×C1911yescharacteristic
1127C22×C4C24×C1911yescharacteristic
1128C22×C4C24×C1911yescharacteristic
1129C22×C4C24×C1911yescharacteristic
1130C22×C4C24×C1911yescharacteristic
1131C22×C4C24×C1911yescharacteristic
1132C22×C4C24×C1911yescharacteristic
1133C22×C4C24×C1911yescharacteristic
1134C22×C4C24×C1911yescharacteristic
1135C22×C4C24×C1911yescharacteristic
1136C22×C4C24×C1911yescharacteristic
1137C22×C4C24×C1911yescharacteristic
1138C22×C4C24×C1911yescharacteristic
1139C22×C4C24×C1911yescharacteristic
1140C22×C4C24×C1911yescharacteristic
1141C22×C4C24×C1911yescharacteristic
1142C22×C4C24×C1911yescharacteristic
1143C22×C4C24×C1911yescharacteristic
1144C22×C4C24×C1911yescharacteristic
1145C22×C4C24×C1911yescharacteristic
1146C22×C4C24×C1911yescharacteristic
1147C22×C4C24×C1911yescharacteristic
1148C22×C4C24×C1911yescharacteristic
1149C22×C4C24×C1911yescharacteristic
1150C22×C4C24×C1911yescharacteristic
1151C4⋊C4—22no—
1152C4⋊C4—22no—
1153C4⋊C4—22no—
1154C4⋊C4—22no—
1155C4⋊C4—22no—
1156C4⋊C4—22no—
1157C4⋊C4—22no—
1158C4⋊C4—22no—
1159C4⋊C4—22no—
1160C4⋊C4—22no—
1161C4⋊C4—22no—
1162C4⋊C4—22no—
1163C4⋊C4—41no—
1164C4⋊C4—41no—
1165C4⋊C4—41no—
1166C4⋊C4—41no—
1167C4⋊C4—41no—
1168C4⋊C4—41no—
1169C4⋊C4—41no—
1170C4⋊C4—41no—
1171C4⋊C4—41no—
1172C4⋊C4—41no—
1173C4⋊C4—41no—
1174C4⋊C4—41no—
1175C4⋊C4—41no—
1176C4⋊C4—41no—
1177C4⋊C4—41no—
1178C4⋊C4—41no—
1179C4⋊C4—41no—
1180C4⋊C4—41no—
1181C4⋊C4—41no—
1182C4⋊C4—41no—
1183C4⋊C4—41no—
1184C4⋊C4—41no—
1185C4⋊C4—41no—
1186C4⋊C4—41no—
1187C4⋊C4—41no—
1188C4⋊C4—41no—
1189C4⋊C4—41no—
1190C4⋊C4—41no—
1191C4⋊C4—41no—
1192C4⋊C4—41no—
1193C22⋊C4—22no—
1194C22⋊C4—22no—
1195C22⋊C4—22no—
1196C22⋊C4—22no—
1197C22⋊C4—22no—
1198C22⋊C4—22no—
1199C22⋊C4—22no—
1200C22⋊C4—22no—
1201C22⋊C4—22no—
1202C22⋊C4—22no—
1203C22⋊C4—22no—
1204C22⋊C4—22no—
1205C22⋊C4—41no—
1206C22⋊C4—41no—
1207C22⋊C4—41no—
1208C22⋊C4—41no—
1209C22⋊C4—41no—
1210C22⋊C4—41no—
1211C22⋊C4—41no—
1212C22⋊C4—41no—
1213C22⋊C4—41no—
1214C22⋊C4—41no—
1215C22⋊C4—41no—
1216C22⋊C4—41no—
1217C22⋊C4—41no—
1218C22⋊C4—41no—
1219C22⋊C4—41no—
1220C22⋊C4—41no—
1221C22⋊C4—41no—
1222C22⋊C4—41no—
1223C22⋊C4—41no—
1224C22⋊C4—41no—
1225C22⋊C4—41no—
1226C22⋊C4—41no—
1227C22⋊C4—41no—
1228C22⋊C4—41no—
1229C22⋊C4—41no—
1230C22⋊C4—41no—
1231C22⋊C4—41no—
1232C22⋊C4—41no—
1233C42—22no—
1234C42—22no—
1235C42—22no—
1236C42—22no—
1237C42—41no—
1238C42—41no—
1239C42—41no—
1240C42—41no—
1241C42—41no—
1242C42—41no—
1243C42—41no—
1244C23—21no—
1245C23—21no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23C2×#41×C1912yes—
1271C23C2×#41×C1912yes—
1272C23C25×C1911yescharacteristic
1273D4—44no—
1274D4—44no—
1275D4—44no—
1276D4—82no—
1277D4—82no—
1278D4—82no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—44no—
1357C2×C4—44no—
1358C2×C4—44no—
1359C2×C4—44no—
1360C2×C4—44no—
1361C2×C4—82no—
1362C2×C4—82no—
1363C2×C4—82no—
1364C2×C4C2×#41×C1912yes—
1365C2×C4C19×H(5,𝔽2)12yes—
1366C2×C4C19×H(5,𝔽2)12yes—
1367C2×C4C19×2−1+412yes—
1368C22—22no—
1369C22—22no—
1370C22—22no—
1371C22—22no—
1372C22—22no—
1373C22—22no—
1374C22—41no—
1375C22—41no—
1376C22—41no—
1377C22—41no—
1378C22—41no—
1379C22—41no—
1380C22—41no—
1381C22—41no—
1382C22—41no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22—41no—
1387C22—41no—
1388C22—41no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22C22×#41×C1911yescharacteristic
1397C22C2×C19×H(5,𝔽2)11yescharacteristic
1398C22C2×C19×H(5,𝔽2)11yescharacteristic
1399C22C2×C19×2−1+411yescharacteristic
1400C22C19×#58511yescharacteristic
1401C22C19×#58511yescharacteristic
1402C22C19×#58511yescharacteristic
1403C4—22no—
1404C4—22no—
1405C4—22no—
1406C4—22no—
1407C4—41no—
1408C4—41no—
1409C4—41no—
1410C4—41no—
1411C4—41no—
1412C4—41no—
1413C4—41no—
1414C4—41no—
1415C4—41no—
1416C4—41no—
1417C4—41no—
1418C4—41no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C2—42no—
1431C2—42no—
1432C2—81no—
1433C2—81no—
1434C2C19×#345911yescharacteristic
1435C2C19×#351311yescharacteristic
1436C2C19×#351511yescharacteristic
1437C2C19×#354111yescharacteristic
1438C2C19×#354211yescharacteristic
1439C2C19×#354711yescharacteristic
1440C2C19×#356711yescharacteristic
subgroupG/H
center, socleC23×C19C25
commutator, Frattini, cosocleC23C25×C19
prime radicalC19×#2671C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C19 ◁ G

Complements

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

NH ≅ G/Ntype
1. C19×#2853C2semidirect
2. C19×#2851C2semidirect
3. C19×#2781C2semidirect
4. C19×#2780C2semidirect
5. C19×#2779C2semidirect
6. C19×#2773C2semidirect
7. C19×#2770C2semidirect
8. C19×#2768C2semidirect
9. C19×#2761C2semidirect
10. C19×#2761C2semidirect
11. C19×#2756C2semidirect
12. C19×#2744C2semidirect
13. C19×#2726C2semidirect
14. C19×#2711C2semidirect
15. C19×#2708C2semidirect
16. C19×#2701C2semidirect
17. C19×#2694C2semidirect
19. C19×#2633C2semidirect
20. C19×#2630C2semidirect
21. C19×#2524C2semidirect
22. C19×#2522C2semidirect
23. C19×#2518C2semidirect
24. C19×#2475C2semidirect
25. C19×#2473C2semidirect
26. C19×#2470C2semidirect
27. C19×#2460C2semidirect
28. C19×#2443C2semidirect
29. C19×#2324C2semidirect
30. C19×#2322C2semidirect
31. C4×C19×#121C2semidirect
523. #36843C19direct (N × H)
648. #2853C2×C19semidirect
649. #2851C2×C19semidirect
650. #2781C2×C19semidirect
651. #2780C2×C19semidirect
652. #2779C2×C19semidirect
653. #2773C2×C19semidirect
654. #2770C2×C19semidirect
655. #2768C2×C19semidirect
656. #2761C2×C19semidirect
657. #2761C2×C19semidirect
658. #2756C2×C19semidirect
659. #2744C2×C19semidirect
660. #2726C2×C19semidirect
661. #2711C2×C19semidirect
662. #2708C2×C19semidirect
663. #2701C2×C19semidirect
664. #2694C2×C19semidirect
666. #2633C2×C19semidirect
667. #2630C2×C19semidirect
668. #2524C2×C19semidirect
669. #2522C2×C19semidirect
670. #2518C2×C19semidirect
671. #2475C2×C19semidirect
672. #2473C2×C19semidirect
673. #2470C2×C19semidirect
674. #2460C2×C19semidirect
675. #2443C2×C19semidirect
676. #2324C2×C19semidirect
677. #2322C2×C19semidirect
678. C4×#121C2×C19semidirect
1077. C19#36843direct (N × H)

Maximal subgroups

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

subgroupindex
C19×#28532
C19×#28512
C19×#27812
C19×#27802
C19×#27792
C19×#27732
C19×#27702
C19×#27682
C19×#27612
C19×#27562
C19×#27442
C19×#27262
C19×#27112
C19×#27082
C19×#27012
C19×#26942
C19×#26712
C19×#26332
C19×#26302
C19×#25242
C19×#25222
C19×#25182
C19×#24752
C19×#24732
C19×#24702
C19×#24602
C19×#24432
C19×#23242
C19×#23222
C4×C19×#1212
#3684319