Finite Group Databasebeta

← C19×#61867 #18067826

Subgroups — C19×#61867 #18067826

Order 4864.

1628 conjugacy classes of subgroups.

The subgroup lattice has 1586 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C19×#3557C211yesmaximal, characteristic, complemented
2C19×#3504C211yesmaximal, characteristic, complemented
3C19×#3390C211yesmaximal, characteristic, complemented
4C19×#3389C211yesmaximal, characteristic, complemented
5C19×#3388C211yesmaximal, characteristic, complemented
6C19×#3388C211yesmaximal, characteristic, complemented
7C19×#3383C211yesmaximal, characteristic, complemented
8C19×#3381C211yesmaximal, characteristic, complemented
9C19×#3381C211yesmaximal, characteristic, complemented
10C19×#3380C211yesmaximal, characteristic, complemented
11C19×#3377C211yesmaximal, characteristic, complemented
12C19×#3376C211yesmaximal, characteristic, complemented
13C19×#3371C211yesmaximal, characteristic, complemented
14C19×#3370C211yesmaximal, characteristic, complemented
15C19×#3365C211yesmaximal, characteristic, complemented
16C19×#3364C211yesmaximal, characteristic, complemented
17C19×#3361C211yesmaximal, characteristic, complemented
18C19×#3360C211yesmaximal, characteristic, complemented
19C19×#3244C211yesmaximal, characteristic, complemented
20C19×#3243C211yesmaximal, characteristic, complemented
21C19×#3242C211yesmaximal, characteristic, complemented
22C19×#3241C211yesmaximal, characteristic, complemented
23C19×#3232C211yesmaximal, characteristic, complemented
24C19×#3232C211yesmaximal, characteristic, complemented
25C19×#3125C211yesmaximal, characteristic, complemented
26C19×#3124C211yesmaximal, characteristic, complemented
27C19×#3120C211yesmaximal, characteristic, complemented
28C19×#3119C211yesmaximal, characteristic
29C19×#3102C211yesmaximal, characteristic, complemented
30C19×#3102C211yesmaximal, characteristic, complemented
31C19×#2986C211yesmaximal, characteristic, complemented
32C19×#563—21no—
33C19×#563—21no—
34C19×#559C2211yescharacteristic
35C19×#559C2211yescharacteristic
36C19×#557C2211yescharacteristic
37C19×#557C2211yescharacteristic
38C19×#557C2211yescharacteristic
39C19×#557C2211yescharacteristic
40C19×#557C2211yescharacteristic
41C19×#557C2211yescharacteristic
42C19×#556C2211yescharacteristic
43C19×#556C2211yescharacteristic
44C19×#554—21no—
45C19×#554—21no—
46C19×#554—21no—
47C19×#554—21no—
48C19×#554C2211yescharacteristic
49C19×#554C2211yescharacteristic
50C19×#554C2211yescharacteristic
51C19×#554C2211yescharacteristic
52C19×#554C2211yescharacteristic
53C19×#554C2211yescharacteristic
54C19×#552—21no—
55C19×#552—21no—
56C19×#544—21no—
57C19×#544—21no—
58C19×#544C2211yescharacteristic
59C19×#544C2211yescharacteristic
60C19×#542—21no—
61C19×#542—21no—
62C19×#542C2211yescharacteristic
63C19×#542C2211yescharacteristic
64C19×#541C2211yescharacteristic
65C19×#540C2211yescharacteristic
66C19×#539—21no—
67C19×#539—21no—
68C19×#533—21no—
69C19×#533C2211yescharacteristic
70C19×#529C2211yescharacteristic
71C19×#529C2211yescharacteristic
72C2×C19×#125—21no—
73C2×C19×#125C2211yescharacteristic
74C19×#520C2211yescharacteristic
75C19×#520C2211yescharacteristic
76C4×#41×C19C2211yescharacteristic
77C19×#501C2211yescharacteristic
78C19×#501C2211yescharacteristic
79C19×#501C2211yescharacteristic
80C19×#501C2211yescharacteristic
81C19×#500C2211yescharacteristic
82C19×#499C2211yescharacteristic
83C19×#499C2211yescharacteristic
84C19×#499C2211yescharacteristic
85C19×#499C2211yescharacteristic
86C19×#499C2211yescharacteristic
87C19×#499C2211yescharacteristic
88C19×#498C2211yescharacteristic
89C19×#491C2211yescharacteristic
90C19×#490C2211yescharacteristic
91C19×#489C2211yescharacteristic
92C19×#489C2211yescharacteristic
93C19×#488C2211yescharacteristic
94C19×#488C2211yescharacteristic
95C19×#488C2211yescharacteristic
96C19×#488C2211yescharacteristic
97C19×#488C2211yescharacteristic
98C19×#488C2211yescharacteristic
99C19×#487C2211yescharacteristic
100C19×#486C2211yescharacteristic
101C19×#485C2211yescharacteristic
102C19×#485C2211yescharacteristic
103C19×#484C2211yescharacteristic
104C19×#484C2211yescharacteristic
105C19×#483C2211yescharacteristic
106C19×#483C2211yescharacteristic
107C19×#482C2211yescharacteristic
108C19×#482C2211yescharacteristic
109C19×#481C2211yescharacteristic
110C19×#481C2211yescharacteristic
111C19×#480C2211yescharacteristic
112C19×#480C2211yescharacteristic
113C19×#479C2211yescharacteristic
114C19×#479C2211yescharacteristic
115C19×#479C2211yescharacteristic
116C19×#479C2211yescharacteristic
117C19×#479C2211yescharacteristic
118C19×#479C2211yescharacteristic
119C19×#479C2211yescharacteristic
120C19×#479C2211yescharacteristic
121C19×#479C2211yescharacteristic
122C19×#479C2211yescharacteristic
123C19×#479C2211yescharacteristic
124C19×#479C2211yescharacteristic
125C19×#478C2211yescharacteristic
126C19×#478C2211yescharacteristic
127C19×#478C2211yescharacteristic
128C19×#478C2211yescharacteristic
129C19×#478C2211yescharacteristic
130C19×#478C2211yescharacteristic
131C19×#478C2211yescharacteristic
132C19×#478C2211yescharacteristic
133C19×#478C2211yescharacteristic
134C19×#478C2211yescharacteristic
135C19×#478C2211yescharacteristic
136C19×#478C2211yescharacteristic
137C19×#477C2211yescharacteristic
138C19×#477C2211yescharacteristic
139C19×#477C2211yescharacteristic
140C19×#476C2211yescharacteristic
141C19×#476C2211yescharacteristic
142C19×#476C2211yescharacteristic
143C19×#475C2211yescharacteristic
144C19×#475C2211yescharacteristic
145C19×#475C2211yescharacteristic
146C19×#474C2211yescharacteristic
147C19×#474C2211yescharacteristic
148C19×#474C2211yescharacteristic
149C19×#464C2211yescharacteristic
150C19×#464C2211yescharacteristic
151C19×#464C2211yescharacteristic
152C19×#464C2211yescharacteristic
153C19×#463C2211yescharacteristic
154C19×#463C2211yescharacteristic
155C19×#463C2211yescharacteristic
156C19×#463C2211yescharacteristic
157C19×#462C2211yescharacteristic
158C19×#461C2211yescharacteristic
159C19×#460C2211yescharacteristic
160C19×#459C2211yescharacteristic
161C19×#452C2211yescharacteristic
162C19×#452C2211yescharacteristic
163C19×#449C2211yescharacteristic
164C19×#449C2211yescharacteristic
165C19×#446C2211yescharacteristic
166C19×#446C2211yescharacteristic
167C19×#446C2211yescharacteristic
168C19×#446C2211yescharacteristic
169C8×Q8×C19C2211yescharacteristic
170C8×Q8×C19C2211yescharacteristic
171C8×Q8×C19C2211yescharacteristic
172C8×Q8×C19C2211yescharacteristic
173C19×#442C2211yescharacteristic
174C19×#442C2211yescharacteristic
175C19×#441C2211yescharacteristic
176C19×#441C2211yescharacteristic
177C19×#440C2211yescharacteristic
178C19×#440C2211yescharacteristic
179C19×#440C2211yescharacteristic
180C19×#440C2211yescharacteristic
181C4×Q16×C19C2211yescharacteristic
182C4×Q16×C19C2211yescharacteristic
183C4×Q16×C19C2211yescharacteristic
184C4×Q16×C19C2211yescharacteristic
185C4×SD16×C19C2211yescharacteristic
186C4×SD16×C19C2211yescharacteristic
187C4×SD16×C19C2211yescharacteristic
188C4×SD16×C19C2211yescharacteristic
189C4×SD16×C19C2211yescharacteristic
190C4×SD16×C19C2211yescharacteristic
191C4×SD16×C19C2211yescharacteristic
192C4×SD16×C19C2211yescharacteristic
193C4×D8×C19C2211yescharacteristic
194C4×D8×C19C2211yescharacteristic
195C4×D8×C19C2211yescharacteristic
196C4×D8×C19C2211yescharacteristic
197C19×#433C2211yescharacteristic
198C19×#433C2211yescharacteristic
199C19×#433C2211yescharacteristic
200C19×#433C2211yescharacteristic
201C19×#431C2211yescharacteristic
202C19×#431C2211yescharacteristic
203C2×#41×C19C2311yescharacteristic
204C2×Q16×C19C2311yescharacteristic
205C2×Q16×C19C2311yescharacteristic
206C2×SD16×C19C2311yescharacteristic
207C2×SD16×C19C2311yescharacteristic
208C2×SD16×C19C2311yescharacteristic
209C2×SD16×C19C2311yescharacteristic
210C2×D8×C19C2311yescharacteristic
211C2×D8×C19C2311yescharacteristic
212C19×C4⋊Q8—21no—
213C19×C4⋊Q8—21no—
214C19×C4⋊Q8—21no—
215C19×C4⋊Q8—21no—
216C19×C4⋊Q8—21no—
217C19×C4⋊Q8—21no—
218C19×C4⋊Q8—21no—
219C19×C4⋊Q8—21no—
220C19×C4⋊Q8D411yescharacteristic
221C19×C4⋊Q8D411yescharacteristic
222C19×C4⋊Q8C2311yescharacteristic
223C19×C4⋊Q8C2311yescharacteristic
224C19×C4⋊Q8C2311yescharacteristic
225C19×C4⋊Q8C2311yescharacteristic
226C19×C4⋊Q8C2311yescharacteristic
227C19×C4⋊Q8C2311yescharacteristic
228C19×C4⋊Q8C2311yescharacteristic
229C19×#127C2311yescharacteristic
230C19×#126—21no—
231C19×#126—21no—
232C19×#126—21no—
233C19×#126—21no—
234C19×#126—21no—
235C19×#126—21no—
236C19×#126—21no—
237C19×#126—21no—
238C19×#126—21no—
239C19×#126—21no—
240C19×#125—21no—
241C19×#125—21no—
242C19×#125—21no—
243C19×#125—21no—
244C19×#125—21no—
245C19×#125—21no—
246C19×#125—21no—
247C19×#125—21no—
248C19×#125—21no—
249C19×#125—21no—
250C19×#125—21no—
251C19×#125—21no—
252C19×#125—21no—
253C19×#125—21no—
254C19×#125—21no—
255C19×#125—21no—
256C19×#125—21no—
257C19×#125—21no—
258C19×#125D411yescharacteristic
259C19×#125D411yescharacteristic
260C19×#125C2311yescharacteristic
261C19×#125C2311yescharacteristic
262C19×#125C2311yescharacteristic
263C19×#125C2311yescharacteristic
264C19×#125C2311yescharacteristic
265C19×#125C2311yescharacteristic
266C19×#125C2311yescharacteristic
267C19×#125C2311yescharacteristic
268C19×#125C2311yescharacteristic
269C19×#125C2311yescharacteristic
270C19×#125C2311yescharacteristic
271C19×#125C2311yescharacteristic
272C19×#124—21no—
273C19×#124—21no—
274C19×#124—21no—
275C19×#124—21no—
276C19×#124C2311yescharacteristic
277C19×#124C2311yescharacteristic
278C19×#124C2311yescharacteristic
279C19×#124C2311yescharacteristic
280C19×#123—21no—
281C19×#123—21no—
282C19×#123—21no—
283C19×#123—21no—
284C19×#123—21no—
285C19×#123—21no—
286C19×#123—21no—
287C19×#123—21no—
288C19×#123—21no—
289C19×#123—21no—
290C19×C22⋊Q8—21no—
291C19×C22⋊Q8—21no—
292C19×C22⋊Q8—21no—
293C19×C22⋊Q8—21no—
294C19×C22⋊Q8—21no—
295C19×C22⋊Q8—21no—
296C19×C22⋊Q8—21no—
297C19×C22⋊Q8—21no—
298C19×C22⋊Q8—21no—
299C19×C22⋊Q8—21no—
300C19×C22⋊Q8—21no—
301C19×C22⋊Q8—21no—
302C19×C22⋊Q8—21no—
303C19×C22⋊Q8—21no—
304C19×C22⋊Q8—21no—
305C19×C22⋊Q8—21no—
306C19×C22⋊Q8—21no—
307C19×C22⋊Q8—21no—
308C19×C22⋊Q8—21no—
309C19×C22⋊Q8—21no—
310C19×C22⋊Q8—21no—
311C19×C22⋊Q8—21no—
312C19×C22⋊Q8—21no—
313C19×C22⋊Q8—21no—
314C19×C22⋊Q8—21no—
315C19×C22⋊Q8—21no—
316C19×C22⋊Q8D411yescharacteristic
317C19×C22⋊Q8D411yescharacteristic
318C19×C22⋊Q8D411yescharacteristic
319C19×C22⋊Q8D411yescharacteristic
320C19×C22⋊Q8C2311yescharacteristic
321C19×C22⋊Q8C2311yescharacteristic
322C19×#121—21no—
323C19×#121—21no—
324C19×#121C2311yescharacteristic
325C19×#121C2311yescharacteristic
326C4×Q8×C19—21no—
327C4×Q8×C19—21no—
328C4×Q8×C19—21no—
329C4×Q8×C19—21no—
330C4×Q8×C19—21no—
331C4×Q8×C19—21no—
332C4×Q8×C19C2311yescharacteristic
333C4×Q8×C19C2311yescharacteristic
334C4×Q8×C19C2311yescharacteristic
335C4×Q8×C19C2311yescharacteristic
336C4×Q8×C19C2311yescharacteristic
337C4×Q8×C19C2311yescharacteristic
338C4×Q8×C19C2311yescharacteristic
339C4×Q8×C19C2311yescharacteristic
340C4×Q8×C19C2311yescharacteristic
341C4×Q8×C19C2311yescharacteristic
342C4×Q8×C19C2311yescharacteristic
343C4×Q8×C19C2311yescharacteristic
344C4×Q8×C19C2311yescharacteristic
345C4×Q8×C19C2311yescharacteristic
346C4×Q8×C19C2311yescharacteristic
347C4×Q8×C19C2311yescharacteristic
348C4×D4×C19—21no—
349C4×D4×C19—21no—
350C4×D4×C19—21no—
351C4×D4×C19—21no—
352C4×D4×C19—21no—
353C4×D4×C19—21no—
354C4×D4×C19—21no—
355C4×D4×C19—21no—
356C4×D4×C19—21no—
357C4×D4×C19—21no—
358C4×D4×C19C2311yescharacteristic
359C4×D4×C19C2311yescharacteristic
360C4×D4×C19C2311yescharacteristic
361C4×D4×C19C2311yescharacteristic
362C4×D4×C19C2311yescharacteristic
363C4×D4×C19C2311yescharacteristic
364C4×D4×C19C2311yescharacteristic
365C4×D4×C19C2311yescharacteristic
366C4×D4×C19C2311yescharacteristic
367C4×D4×C19C2311yescharacteristic
368C4×D4×C19C2311yescharacteristic
369C4×D4×C19C2311yescharacteristic
370C19×#117—21no—
371C19×#117—21no—
372C19×#117—21no—
373C19×#117—21no—
374C19×#117—21no—
375C19×#117—21no—
376C19×#117—21no—
377C19×#117C2311yescharacteristic
378C19×#117C2311yescharacteristic
379C19×#117C2311yescharacteristic
380C2×C4⋊C4×C19—21no—
381C2×C4⋊C4×C19—21no—
382C2×C4⋊C4×C19—21no—
383C2×C4⋊C4×C19—21no—
384C2×C4⋊C4×C19—21no—
385C2×C4⋊C4×C19—21no—
386C2×C4⋊C4×C19—21no—
387C2×C4⋊C4×C19—21no—
388C2×C4⋊C4×C19—21no—
389C2×C4⋊C4×C19—21no—
390C2×C4⋊C4×C19C2311yescharacteristic
391C2×C4⋊C4×C19C2311yescharacteristic
392C2×C42×C19—21no—
393C2×C42×C19C2311yescharacteristic
394C19×#107C2311yescharacteristic
395C19×#107C2311yescharacteristic
396C19×#107C2311yescharacteristic
397C19×#107C2311yescharacteristic
398C19×#107C2311yescharacteristic
399C19×#107C2311yescharacteristic
400C19×#107C2311yescharacteristic
401C19×#107C2311yescharacteristic
402C19×#107C2311yescharacteristic
403C19×#107C2311yescharacteristic
404C19×#107C2311yescharacteristic
405C19×#107C2311yescharacteristic
406C19×#106C2311yescharacteristic
407C19×#106C2311yescharacteristic
408C19×#106C2311yescharacteristic
409C19×#106C2311yescharacteristic
410C19×#106C2311yescharacteristic
411C19×#106C2311yescharacteristic
412C19×#106C2311yescharacteristic
413C19×#106C2311yescharacteristic
414C19×#106C2311yescharacteristic
415C19×#106C2311yescharacteristic
416C19×#106C2311yescharacteristic
417C19×#106C2311yescharacteristic
418C19×C4⋊C8C2311yescharacteristic
419C19×C4⋊C8C2311yescharacteristic
420C19×C4⋊C8C2311yescharacteristic
421C19×C4⋊C8C2311yescharacteristic
422C19×C4⋊C8C2311yescharacteristic
423C19×C4⋊C8C2311yescharacteristic
424C19×C4⋊C8C2311yescharacteristic
425C19×C4⋊C8C2311yescharacteristic
426C19×C4⋊C8C2311yescharacteristic
427C19×C4⋊C8C2311yescharacteristic
428C19×C4⋊C8C2311yescharacteristic
429C19×C4⋊C8C2311yescharacteristic
430C19×#103C2311yescharacteristic
431C19×#103C2311yescharacteristic
432C19×#103C2311yescharacteristic
433C19×#103C2311yescharacteristic
434C19×#103C2311yescharacteristic
435C19×#103C2311yescharacteristic
436C19×#103C2311yescharacteristic
437C19×#103C2311yescharacteristic
438C19×#103C2311yescharacteristic
439C19×#103C2311yescharacteristic
440C19×#103C2311yescharacteristic
441C19×#103C2311yescharacteristic
442C19×#103C2311yescharacteristic
443C19×#103C2311yescharacteristic
444C19×#103C2311yescharacteristic
445C19×#103C2311yescharacteristic
446C19×#102C2311yescharacteristic
447C19×#102C2311yescharacteristic
448C19×#102C2311yescharacteristic
449C19×#102C2311yescharacteristic
450C19×#102C2311yescharacteristic
451C19×#102C2311yescharacteristic
452C19×#102C2311yescharacteristic
453C19×#102C2311yescharacteristic
454C19×#102C2311yescharacteristic
455C19×#102C2311yescharacteristic
456C19×#102C2311yescharacteristic
457C19×#102C2311yescharacteristic
458C19×#102C2311yescharacteristic
459C19×#102C2311yescharacteristic
460C19×#102C2311yescharacteristic
461C19×#102C2311yescharacteristic
462C19×C22⋊C8C2311yescharacteristic
463C19×C22⋊C8C2311yescharacteristic
464C19×C22⋊C8C2311yescharacteristic
465C19×C22⋊C8C2311yescharacteristic
466C19×#97C2311yescharacteristic
467C19×#97C2311yescharacteristic
468C19×#97C2311yescharacteristic
469C19×#97C2311yescharacteristic
470C4×C8×C19C2311yescharacteristic
471C4×C8×C19C2311yescharacteristic
472C4×C8×C19C2311yescharacteristic
473C4×C8×C19C2311yescharacteristic
474C4×C8×C19C2311yescharacteristic
475C4×C8×C19C2311yescharacteristic
476C4×C8×C19C2311yescharacteristic
477C4×C8×C19C2311yescharacteristic
478#41×C19—22no—
479#41×C19—22no—
480C2×Q8×C19—21no—
481C2×Q8×C19—21no—
482C2×Q8×C19—21no—
483C2×Q8×C19—21no—
484C2×Q8×C19—21no—
485C2×Q8×C19—21no—
486C2×Q8×C19C2×D411yescharacteristic
487C2×Q8×C19C2×D411yescharacteristic
488C2×Q8×C19C2×D411yescharacteristic
489C2×Q8×C19C2×D411yescharacteristic
490C2×Q8×C19C2411yescharacteristic
491C2×Q8×C19C2411yescharacteristic
492C2×Q8×C19C2411yescharacteristic
493C2×D4×C19—21no—
494C2×D4×C19—21no—
495C2×D4×C19—21no—
496C2×D4×C19—21no—
497C2×D4×C19—21no—
498C2×D4×C19C2411yescharacteristic
499C2×D4×C19C2411yescharacteristic
500C2×D4×C19C2411yescharacteristic
501C22×C4×C19—21no—
502C22×C4×C19—21no—
503C22×C4×C19—21no—
504C22×C4×C19—21no—
505C22×C4×C19—21no—
506C22×C4×C19—21no—
507C22×C4×C19—21no—
508C22×C4×C19—21no—
509C22×C4×C19—21no—
510C22×C4×C19—21no—
511C22×C4×C19—21no—
512C22×C4×C19—21no—
513C22×C4×C19—21no—
514C22×C4×C19—21no—
515C22×C4×C19—21no—
516C22×C4×C19C2×D411yescharacteristic
517C22×C4×C19C2×D411yescharacteristic
518C22×C4×C19C2411yescharacteristic
519Q16×C19—22no—
520Q16×C19—22no—
521SD16×C19—22no—
522SD16×C19—22no—
523SD16×C19—22no—
524SD16×C19—22no—
525D8×C19—22no—
526D8×C19—22no—
527C2×C8×C19C2411yescharacteristic
528C2×C8×C19C2411yescharacteristic
529C2×C8×C19C2411yescharacteristic
530C2×C8×C19C2411yescharacteristic
531C2×C8×C19C2411yescharacteristic
532C2×C8×C19C2411yescharacteristic
533C2×C8×C19C2411yescharacteristic
534C2×C8×C19C2411yescharacteristic
535C4⋊C4×C19—21no—
536C4⋊C4×C19—21no—
537C4⋊C4×C19—21no—
538C4⋊C4×C19—21no—
539C4⋊C4×C19—21no—
540C4⋊C4×C19—21no—
541C4⋊C4×C19—21no—
542C4⋊C4×C19—21no—
543C4⋊C4×C19—21no—
544C4⋊C4×C19—21no—
545C4⋊C4×C19—21no—
546C4⋊C4×C19—21no—
547C4⋊C4×C19—21no—
548C4⋊C4×C19—21no—
549C4⋊C4×C19—21no—
550C4⋊C4×C19—21no—
551C4⋊C4×C19—21no—
552C4⋊C4×C19—21no—
553C4⋊C4×C19—21no—
554C4⋊C4×C19—21no—
555C4⋊C4×C19—21no—
556C4⋊C4×C19—21no—
557C4⋊C4×C19—21no—
558C4⋊C4×C19—21no—
559C4⋊C4×C19—21no—
560C4⋊C4×C19—21no—
561C4⋊C4×C19—21no—
562C4⋊C4×C19—21no—
563C4⋊C4×C19—21no—
564C4⋊C4×C19—21no—
565C4⋊C4×C19—21no—
566C4⋊C4×C19—21no—
567C4⋊C4×C19—21no—
568C4⋊C4×C19—21no—
569C4⋊C4×C19—21no—
570C4⋊C4×C19—21no—
571C4⋊C4×C19—21no—
572C4⋊C4×C19—21no—
573C4⋊C4×C19—21no—
574C4⋊C4×C19—21no—
575C4⋊C4×C19—21no—
576C4⋊C4×C19—21no—
577C4⋊C4×C19—21no—
578C4⋊C4×C19—21no—
579C4⋊C4×C19—21no—
580C4⋊C4×C19—21no—
581C4⋊C4×C19—21no—
582C4⋊C4×C19—21no—
583C4⋊C4×C19C2×D411yescharacteristic
584C4⋊C4×C19C2×D411yescharacteristic
585C4⋊C4×C19C2×D411yescharacteristic
586C4⋊C4×C19C2×D411yescharacteristic
587C4⋊C4×C19C2×D411yescharacteristic
588C4⋊C4×C19C2×D411yescharacteristic
589C4⋊C4×C19C2×D411yescharacteristic
590C4⋊C4×C19C2×D411yescharacteristic
591C4⋊C4×C19C2×D411yescharacteristic
592C4⋊C4×C19C2×D411yescharacteristic
593C4⋊C4×C19C2×D411yescharacteristic
594C4⋊C4×C19C2×D411yescharacteristic
595C4⋊C4×C19C2×D411yescharacteristic
596C4⋊C4×C19C2×D411yescharacteristic
597C4⋊C4×C19C2×D411yescharacteristic
598C4⋊C4×C19C2×D411yescharacteristic
599C4⋊C4×C19C2411yescharacteristic
600C4⋊C4×C19C2411yescharacteristic
601C4⋊C4×C19C2411yescharacteristic
602C4⋊C4×C19C2411yescharacteristic
603C4⋊C4×C19C2411yescharacteristic
604C4⋊C4×C19C2411yescharacteristic
605C4⋊C4×C19C2411yescharacteristic
606C4⋊C4×C19C2411yescharacteristic
607C4⋊C4×C19C2411yescharacteristic
608C4⋊C4×C19C2411yescharacteristic
609C22⋊C4×C19—21no—
610C22⋊C4×C19—21no—
611C22⋊C4×C19—21no—
612C22⋊C4×C19—21no—
613C22⋊C4×C19—21no—
614C22⋊C4×C19—21no—
615C22⋊C4×C19—21no—
616C22⋊C4×C19—21no—
617C22⋊C4×C19—21no—
618C22⋊C4×C19—21no—
619C22⋊C4×C19—21no—
620C22⋊C4×C19—21no—
621C22⋊C4×C19—21no—
622C22⋊C4×C19—21no—
623C22⋊C4×C19—21no—
624C22⋊C4×C19—21no—
625C22⋊C4×C19—21no—
626C22⋊C4×C19—21no—
627C22⋊C4×C19—21no—
628C22⋊C4×C19—21no—
629C22⋊C4×C19—21no—
630C22⋊C4×C19—21no—
631C22⋊C4×C19—21no—
632C22⋊C4×C19—21no—
633C22⋊C4×C19—21no—
634C22⋊C4×C19C2×D411yescharacteristic
635C22⋊C4×C19C2×D411yescharacteristic
636C22⋊C4×C19C2×D411yescharacteristic
637C22⋊C4×C19C2×D411yescharacteristic
638C42×C19—21no—
639C42×C19—21no—
640C42×C19—21no—
641C42×C19—21no—
642C42×C19—21no—
643C42×C19—21no—
644C42×C19—21no—
645C42×C19—21no—
646C42×C19—21no—
647C42×C19—21no—
648C42×C19—21no—
649C42×C19—21no—
650C42×C19—21no—
651C42×C19C2×D411yescharacteristic
652C42×C19C2×D411yescharacteristic
653C42×C19C2411yescharacteristic
654C42×C19C2411yescharacteristic
655C42×C19C2411yescharacteristic
656C42×C19C2411yescharacteristic
657C42×C19C2411yescharacteristic
658C42×C19C2411yescharacteristic
659#61867C1911yesmaximal, characteristic, direct product factor, Sylow
660C23×C19—21no—
661C23×C19—21no—
662C23×C19—21no—
663C23×C19C22×D411yescharacteristic
664Q8×C19—21no—
665Q8×C19—21no—
666Q8×C19—21no—
667Q8×C19—21no—
668Q8×C19—21no—
669Q8×C19—41no—
670Q8×C19—41no—
671Q8×C19—41no—
672Q8×C19—41no—
673Q8×C19—81no—
674Q8×C19—81no—
675Q8×C19—81no—
676Q8×C19—81no—
677Q8×C19—81no—
678Q8×C19—81no—
679Q8×C192−1+412yes—
680D4×C19—24no—
681D4×C19—21no—
682D4×C19—21no—
683D4×C19—21no—
684D4×C19—21no—
685D4×C19—21no—
686D4×C19—81no—
687D4×C19—81no—
688D4×C19—81no—
689D4×C19—81no—
690D4×C192−1+412yes—
691C2×C4×C19—24no—
692C2×C4×C19—21no—
693C2×C4×C19—21no—
694C2×C4×C19—21no—
695C2×C4×C19—21no—
696C2×C4×C19—21no—
697C2×C4×C19—21no—
698C2×C4×C19—21no—
699C2×C4×C19—21no—
700C2×C4×C19—21no—
701C2×C4×C19—21no—
702C2×C4×C19—21no—
703C2×C4×C19—21no—
704C2×C4×C19—21no—
705C2×C4×C19—21no—
706C2×C4×C19—21no—
707C2×C4×C19—41no—
708C2×C4×C19—41no—
709C2×C4×C19—81no—
710C2×C4×C19—81no—
711C2×C4×C19—81no—
712C2×C4×C19—81no—
713C2×C4×C19—81no—
714C2×C4×C19—81no—
715C2×C4×C19—81no—
716C2×C4×C19—81no—
717C2×C4×C19—81no—
718C2×C4×C19—81no—
719C2×C4×C19—81no—
720C2×C4×C19—81no—
721C2×C4×C19—81no—
722C2×C4×C19—81no—
723C2×C4×C19C22×D411yescharacteristic
724C2×C4×C19C22×D411yescharacteristic
725C2×C4×C19C22×D411yescharacteristic
726C2×C4×C19C22×D411yescharacteristic
727C2×C4×C19C22×D411yescharacteristic
728C2×C4×C19C22×D411yescharacteristic
729C2×C4×C19C22×D411yescharacteristic
730C2×C4×C19C22×D411yescharacteristic
731C2×C4×C19C22×D411yescharacteristic
732C2×C4×C19C22×D411yescharacteristic
733C2×C4×C19C22×D411yescharacteristic
734C2×C4×C19C22×D411yescharacteristic
735C2×C4×C19C22×D411yescharacteristic
736C2×C4×C19C2511yescharacteristic
737C8×C19—21no—
738C8×C19—21no—
739C8×C19—21no—
740C8×C19—21no—
741C8×C19—21no—
742C8×C19—21no—
743C8×C19—21no—
744C8×C19—21no—
745#3557C2×C1911yescharacteristic, complemented
746#3504C2×C1911yescharacteristic, complemented
747#3390C2×C1911yescharacteristic, complemented
748#3389C2×C1911yescharacteristic, complemented
749#3388C2×C1911yescharacteristic, complemented
750#3388C2×C1911yescharacteristic, complemented
751#3383C2×C1911yescharacteristic, complemented
752#3381C2×C1911yescharacteristic, complemented
753#3381C2×C1911yescharacteristic, complemented
754#3380C2×C1911yescharacteristic, complemented
755#3377C2×C1911yescharacteristic, complemented
756#3376C2×C1911yescharacteristic, complemented
757#3371C2×C1911yescharacteristic, complemented
758#3370C2×C1911yescharacteristic, complemented
759#3365C2×C1911yescharacteristic, complemented
760#3364C2×C1911yescharacteristic, complemented
761#3361C2×C1911yescharacteristic, complemented
762#3360C2×C1911yescharacteristic, complemented
763#3244C2×C1911yescharacteristic, complemented
764#3243C2×C1911yescharacteristic, complemented
765#3242C2×C1911yescharacteristic, complemented
766#3241C2×C1911yescharacteristic, complemented
767#3232C2×C1911yescharacteristic, complemented
768#3232C2×C1911yescharacteristic, complemented
769#3125C2×C1911yescharacteristic, complemented
770#3124C2×C1911yescharacteristic, complemented
771#3120C2×C1911yescharacteristic, complemented
772#3119C2×C1911yescharacteristic
773#3102C2×C1911yescharacteristic, complemented
774#3102C2×C1911yescharacteristic, complemented
775#2986C2×C1911yescharacteristic, complemented
776C22×C19—21no—
777C22×C19—21no—
778C22×C19—21no—
779C22×C19—22no—
780C22×C19—41no—
781C22×C19—41no—
782C22×C19—41no—
783C22×C19—41no—
784C22×C19—41no—
785C22×C19—41no—
786C22×C19—41no—
787C22×C19—41no—
788C22×C19C23×D411yescharacteristic
789C4×C19—21no—
790C4×C19—21no—
791C4×C19—21no—
792C4×C19—21no—
793C4×C19—21no—
794C4×C19—21no—
795C4×C19—21no—
796C4×C19—21no—
797C4×C19—21no—
798C4×C19—21no—
799C4×C19—21no—
800C4×C19—21no—
801C4×C19—21no—
802C4×C19—22no—
803C4×C19—41no—
804C4×C19—41no—
805C4×C19—41no—
806C4×C19—41no—
807C4×C19—41no—
808C4×C19—41no—
809C4×C19—41no—
810C4×C19—41no—
811C4×C19—41no—
812C4×C19—41no—
813C4×C19—41no—
814C4×C19—41no—
815C4×C19C2×2−1+411yescharacteristic
816C4×C19C2×2−1+411yescharacteristic
817#563—21no—
818#563—21no—
819#559C22×C1911yescharacteristic
820#559C22×C1911yescharacteristic
821#557C22×C1911yescharacteristic
822#557C22×C1911yescharacteristic
823#557C22×C1911yescharacteristic
824#557C22×C1911yescharacteristic
825#557C22×C1911yescharacteristic
826#557C22×C1911yescharacteristic
827#556C22×C1911yescharacteristic
828#556C22×C1911yescharacteristic
829#554—21no—
830#554—21no—
831#554—21no—
832#554—21no—
833#554C22×C1911yescharacteristic
834#554C22×C1911yescharacteristic
835#554C22×C1911yescharacteristic
836#554C22×C1911yescharacteristic
837#554C22×C1911yescharacteristic
838#554C22×C1911yescharacteristic
839#552—21no—
840#552—21no—
841#544—21no—
842#544—21no—
843#544C22×C1911yescharacteristic
844#544C22×C1911yescharacteristic
845#542—21no—
846#542—21no—
847#542C22×C1911yescharacteristic
848#542C22×C1911yescharacteristic
849#541C22×C1911yescharacteristic
850#540C22×C1911yescharacteristic
851#539—21no—
852#539—21no—
853#533—21no—
854#533C22×C1911yescharacteristic
855#529C22×C1911yescharacteristic
856#529C22×C1911yescharacteristic
857C2×#125—21no—
858C2×#125C22×C1911yescharacteristic
859#520C22×C1911yescharacteristic
860#520C22×C1911yescharacteristic
861C4×#41C22×C1911yescharacteristic
862#501C22×C1911yescharacteristic
863#501C22×C1911yescharacteristic
864#501C22×C1911yescharacteristic
865#501C22×C1911yescharacteristic
866#500C22×C1911yescharacteristic
867#499C22×C1911yescharacteristic
868#499C22×C1911yescharacteristic
869#499C22×C1911yescharacteristic
870#499C22×C1911yescharacteristic
871#499C22×C1911yescharacteristic
872#499C22×C1911yescharacteristic
873#498C22×C1911yescharacteristic
874#491C22×C1911yescharacteristic
875#490C22×C1911yescharacteristic
876#489C22×C1911yescharacteristic
877#489C22×C1911yescharacteristic
878#488C22×C1911yescharacteristic
879#488C22×C1911yescharacteristic
880#488C22×C1911yescharacteristic
881#488C22×C1911yescharacteristic
882#488C22×C1911yescharacteristic
883#488C22×C1911yescharacteristic
884#487C22×C1911yescharacteristic
885#486C22×C1911yescharacteristic
886#485C22×C1911yescharacteristic
887#485C22×C1911yescharacteristic
888#484C22×C1911yescharacteristic
889#484C22×C1911yescharacteristic
890#483C22×C1911yescharacteristic
891#483C22×C1911yescharacteristic
892#482C22×C1911yescharacteristic
893#482C22×C1911yescharacteristic
894#481C22×C1911yescharacteristic
895#481C22×C1911yescharacteristic
896#480C22×C1911yescharacteristic
897#480C22×C1911yescharacteristic
898#479C22×C1911yescharacteristic
899#479C22×C1911yescharacteristic
900#479C22×C1911yescharacteristic
901#479C22×C1911yescharacteristic
902#479C22×C1911yescharacteristic
903#479C22×C1911yescharacteristic
904#479C22×C1911yescharacteristic
905#479C22×C1911yescharacteristic
906#479C22×C1911yescharacteristic
907#479C22×C1911yescharacteristic
908#479C22×C1911yescharacteristic
909#479C22×C1911yescharacteristic
910#478C22×C1911yescharacteristic
911#478C22×C1911yescharacteristic
912#478C22×C1911yescharacteristic
913#478C22×C1911yescharacteristic
914#478C22×C1911yescharacteristic
915#478C22×C1911yescharacteristic
916#478C22×C1911yescharacteristic
917#478C22×C1911yescharacteristic
918#478C22×C1911yescharacteristic
919#478C22×C1911yescharacteristic
920#478C22×C1911yescharacteristic
921#478C22×C1911yescharacteristic
922#477C22×C1911yescharacteristic
923#477C22×C1911yescharacteristic
924#477C22×C1911yescharacteristic
925#476C22×C1911yescharacteristic
926#476C22×C1911yescharacteristic
927#476C22×C1911yescharacteristic
928#475C22×C1911yescharacteristic
929#475C22×C1911yescharacteristic
930#475C22×C1911yescharacteristic
931#474C22×C1911yescharacteristic
932#474C22×C1911yescharacteristic
933#474C22×C1911yescharacteristic
934#464C22×C1911yescharacteristic
935#464C22×C1911yescharacteristic
936#464C22×C1911yescharacteristic
937#464C22×C1911yescharacteristic
938#463C22×C1911yescharacteristic
939#463C22×C1911yescharacteristic
940#463C22×C1911yescharacteristic
941#463C22×C1911yescharacteristic
942#462C22×C1911yescharacteristic
943#461C22×C1911yescharacteristic
944#460C22×C1911yescharacteristic
945#459C22×C1911yescharacteristic
946#452C22×C1911yescharacteristic
947#452C22×C1911yescharacteristic
948#449C22×C1911yescharacteristic
949#449C22×C1911yescharacteristic
950#446C22×C1911yescharacteristic
951#446C22×C1911yescharacteristic
952#446C22×C1911yescharacteristic
953#446C22×C1911yescharacteristic
954C8×Q8C22×C1911yescharacteristic
955C8×Q8C22×C1911yescharacteristic
956C8×Q8C22×C1911yescharacteristic
957C8×Q8C22×C1911yescharacteristic
958#442C22×C1911yescharacteristic
959#442C22×C1911yescharacteristic
960#441C22×C1911yescharacteristic
961#441C22×C1911yescharacteristic
962#440C22×C1911yescharacteristic
963#440C22×C1911yescharacteristic
964#440C22×C1911yescharacteristic
965#440C22×C1911yescharacteristic
966C4×Q16C22×C1911yescharacteristic
967C4×Q16C22×C1911yescharacteristic
968C4×Q16C22×C1911yescharacteristic
969C4×Q16C22×C1911yescharacteristic
970C4×SD16C22×C1911yescharacteristic
971C4×SD16C22×C1911yescharacteristic
972C4×SD16C22×C1911yescharacteristic
973C4×SD16C22×C1911yescharacteristic
974C4×SD16C22×C1911yescharacteristic
975C4×SD16C22×C1911yescharacteristic
976C4×SD16C22×C1911yescharacteristic
977C4×SD16C22×C1911yescharacteristic
978C4×D8C22×C1911yescharacteristic
979C4×D8C22×C1911yescharacteristic
980C4×D8C22×C1911yescharacteristic
981C4×D8C22×C1911yescharacteristic
982#433C22×C1911yescharacteristic
983#433C22×C1911yescharacteristic
984#433C22×C1911yescharacteristic
985#433C22×C1911yescharacteristic
986#431C22×C1911yescharacteristic
987#431C22×C1911yescharacteristic
988C2×C19—41no—
989C2×C19—42no—
990C2×C19—81no—
991C2×C19—81no—
992C2×C19#348611yescharacteristic
993C2×C19#358411yescharacteristic
994C2×C19#358411yescharacteristic
995C2×#41C23×C1911yescharacteristic
996C2×Q16C23×C1911yescharacteristic
997C2×Q16C23×C1911yescharacteristic
998C2×SD16C23×C1911yescharacteristic
999C2×SD16C23×C1911yescharacteristic
1000C2×SD16C23×C1911yescharacteristic
1001C2×SD16C23×C1911yescharacteristic
1002C2×D8C23×C1911yescharacteristic
1003C2×D8C23×C1911yescharacteristic
1004C4⋊Q8—21no—
1005C4⋊Q8—21no—
1006C4⋊Q8—21no—
1007C4⋊Q8—21no—
1008C4⋊Q8—21no—
1009C4⋊Q8—21no—
1010C4⋊Q8—21no—
1011C4⋊Q8—21no—
1012C4⋊Q8D4×C1911yescharacteristic
1013C4⋊Q8D4×C1911yescharacteristic
1014C4⋊Q8C23×C1911yescharacteristic
1015C4⋊Q8C23×C1911yescharacteristic
1016C4⋊Q8C23×C1911yescharacteristic
1017C4⋊Q8C23×C1911yescharacteristic
1018C4⋊Q8C23×C1911yescharacteristic
1019C4⋊Q8C23×C1911yescharacteristic
1020C4⋊Q8C23×C1911yescharacteristic
1021#127C23×C1911yescharacteristic
1022#126—21no—
1023#126—21no—
1024#126—21no—
1025#126—21no—
1026#126—21no—
1027#126—21no—
1028#126—21no—
1029#126—21no—
1030#126—21no—
1031#126—21no—
1032#125—21no—
1033#125—21no—
1034#125—21no—
1035#125—21no—
1036#125—21no—
1037#125—21no—
1038#125—21no—
1039#125—21no—
1040#125—21no—
1041#125—21no—
1042#125—21no—
1043#125—21no—
1044#125—21no—
1045#125—21no—
1046#125—21no—
1047#125—21no—
1048#125—21no—
1049#125—21no—
1050#125D4×C1911yescharacteristic
1051#125D4×C1911yescharacteristic
1052#125C23×C1911yescharacteristic
1053#125C23×C1911yescharacteristic
1054#125C23×C1911yescharacteristic
1055#125C23×C1911yescharacteristic
1056#125C23×C1911yescharacteristic
1057#125C23×C1911yescharacteristic
1058#125C23×C1911yescharacteristic
1059#125C23×C1911yescharacteristic
1060#125C23×C1911yescharacteristic
1061#125C23×C1911yescharacteristic
1062#125C23×C1911yescharacteristic
1063#125C23×C1911yescharacteristic
1064#124—21no—
1065#124—21no—
1066#124—21no—
1067#124—21no—
1068#124C23×C1911yescharacteristic
1069#124C23×C1911yescharacteristic
1070#124C23×C1911yescharacteristic
1071#124C23×C1911yescharacteristic
1072#123—21no—
1073#123—21no—
1074#123—21no—
1075#123—21no—
1076#123—21no—
1077#123—21no—
1078#123—21no—
1079#123—21no—
1080#123—21no—
1081#123—21no—
1082C22⋊Q8—21no—
1083C22⋊Q8—21no—
1084C22⋊Q8—21no—
1085C22⋊Q8—21no—
1086C22⋊Q8—21no—
1087C22⋊Q8—21no—
1088C22⋊Q8—21no—
1089C22⋊Q8—21no—
1090C22⋊Q8—21no—
1091C22⋊Q8—21no—
1092C22⋊Q8—21no—
1093C22⋊Q8—21no—
1094C22⋊Q8—21no—
1095C22⋊Q8—21no—
1096C22⋊Q8—21no—
1097C22⋊Q8—21no—
1098C22⋊Q8—21no—
1099C22⋊Q8—21no—
1100C22⋊Q8—21no—
1101C22⋊Q8—21no—
1102C22⋊Q8—21no—
1103C22⋊Q8—21no—
1104C22⋊Q8—21no—
1105C22⋊Q8—21no—
1106C22⋊Q8—21no—
1107C22⋊Q8—21no—
1108C22⋊Q8D4×C1911yescharacteristic
1109C22⋊Q8D4×C1911yescharacteristic
1110C22⋊Q8D4×C1911yescharacteristic
1111C22⋊Q8D4×C1911yescharacteristic
1112C22⋊Q8C23×C1911yescharacteristic
1113C22⋊Q8C23×C1911yescharacteristic
1114#121—21no—
1115#121—21no—
1116#121C23×C1911yescharacteristic
1117#121C23×C1911yescharacteristic
1118C4×Q8—21no—
1119C4×Q8—21no—
1120C4×Q8—21no—
1121C4×Q8—21no—
1122C4×Q8—21no—
1123C4×Q8—21no—
1124C4×Q8C23×C1911yescharacteristic
1125C4×Q8C23×C1911yescharacteristic
1126C4×Q8C23×C1911yescharacteristic
1127C4×Q8C23×C1911yescharacteristic
1128C4×Q8C23×C1911yescharacteristic
1129C4×Q8C23×C1911yescharacteristic
1130C4×Q8C23×C1911yescharacteristic
1131C4×Q8C23×C1911yescharacteristic
1132C4×Q8C23×C1911yescharacteristic
1133C4×Q8C23×C1911yescharacteristic
1134C4×Q8C23×C1911yescharacteristic
1135C4×Q8C23×C1911yescharacteristic
1136C4×Q8C23×C1911yescharacteristic
1137C4×Q8C23×C1911yescharacteristic
1138C4×Q8C23×C1911yescharacteristic
1139C4×Q8C23×C1911yescharacteristic
1140C4×D4—21no—
1141C4×D4—21no—
1142C4×D4—21no—
1143C4×D4—21no—
1144C4×D4—21no—
1145C4×D4—21no—
1146C4×D4—21no—
1147C4×D4—21no—
1148C4×D4—21no—
1149C4×D4—21no—
1150C4×D4C23×C1911yescharacteristic
1151C4×D4C23×C1911yescharacteristic
1152C4×D4C23×C1911yescharacteristic
1153C4×D4C23×C1911yescharacteristic
1154C4×D4C23×C1911yescharacteristic
1155C4×D4C23×C1911yescharacteristic
1156C4×D4C23×C1911yescharacteristic
1157C4×D4C23×C1911yescharacteristic
1158C4×D4C23×C1911yescharacteristic
1159C4×D4C23×C1911yescharacteristic
1160C4×D4C23×C1911yescharacteristic
1161C4×D4C23×C1911yescharacteristic
1162#117—21no—
1163#117—21no—
1164#117—21no—
1165#117—21no—
1166#117—21no—
1167#117—21no—
1168#117—21no—
1169#117C23×C1911yescharacteristic
1170#117C23×C1911yescharacteristic
1171#117C23×C1911yescharacteristic
1172C2×C4⋊C4—21no—
1173C2×C4⋊C4—21no—
1174C2×C4⋊C4—21no—
1175C2×C4⋊C4—21no—
1176C2×C4⋊C4—21no—
1177C2×C4⋊C4—21no—
1178C2×C4⋊C4—21no—
1179C2×C4⋊C4—21no—
1180C2×C4⋊C4—21no—
1181C2×C4⋊C4—21no—
1182C2×C4⋊C4C23×C1911yescharacteristic
1183C2×C4⋊C4C23×C1911yescharacteristic
1184C2×C42—21no—
1185C2×C42C23×C1911yescharacteristic
1186#107C23×C1911yescharacteristic
1187#107C23×C1911yescharacteristic
1188#107C23×C1911yescharacteristic
1189#107C23×C1911yescharacteristic
1190#107C23×C1911yescharacteristic
1191#107C23×C1911yescharacteristic
1192#107C23×C1911yescharacteristic
1193#107C23×C1911yescharacteristic
1194#107C23×C1911yescharacteristic
1195#107C23×C1911yescharacteristic
1196#107C23×C1911yescharacteristic
1197#107C23×C1911yescharacteristic
1198#106C23×C1911yescharacteristic
1199#106C23×C1911yescharacteristic
1200#106C23×C1911yescharacteristic
1201#106C23×C1911yescharacteristic
1202#106C23×C1911yescharacteristic
1203#106C23×C1911yescharacteristic
1204#106C23×C1911yescharacteristic
1205#106C23×C1911yescharacteristic
1206#106C23×C1911yescharacteristic
1207#106C23×C1911yescharacteristic
1208#106C23×C1911yescharacteristic
1209#106C23×C1911yescharacteristic
1210C4⋊C8C23×C1911yescharacteristic
1211C4⋊C8C23×C1911yescharacteristic
1212C4⋊C8C23×C1911yescharacteristic
1213C4⋊C8C23×C1911yescharacteristic
1214C4⋊C8C23×C1911yescharacteristic
1215C4⋊C8C23×C1911yescharacteristic
1216C4⋊C8C23×C1911yescharacteristic
1217C4⋊C8C23×C1911yescharacteristic
1218C4⋊C8C23×C1911yescharacteristic
1219C4⋊C8C23×C1911yescharacteristic
1220C4⋊C8C23×C1911yescharacteristic
1221C4⋊C8C23×C1911yescharacteristic
1222#103C23×C1911yescharacteristic
1223#103C23×C1911yescharacteristic
1224#103C23×C1911yescharacteristic
1225#103C23×C1911yescharacteristic
1226#103C23×C1911yescharacteristic
1227#103C23×C1911yescharacteristic
1228#103C23×C1911yescharacteristic
1229#103C23×C1911yescharacteristic
1230#103C23×C1911yescharacteristic
1231#103C23×C1911yescharacteristic
1232#103C23×C1911yescharacteristic
1233#103C23×C1911yescharacteristic
1234#103C23×C1911yescharacteristic
1235#103C23×C1911yescharacteristic
1236#103C23×C1911yescharacteristic
1237#103C23×C1911yescharacteristic
1238#102C23×C1911yescharacteristic
1239#102C23×C1911yescharacteristic
1240#102C23×C1911yescharacteristic
1241#102C23×C1911yescharacteristic
1242#102C23×C1911yescharacteristic
1243#102C23×C1911yescharacteristic
1244#102C23×C1911yescharacteristic
1245#102C23×C1911yescharacteristic
1246#102C23×C1911yescharacteristic
1247#102C23×C1911yescharacteristic
1248#102C23×C1911yescharacteristic
1249#102C23×C1911yescharacteristic
1250#102C23×C1911yescharacteristic
1251#102C23×C1911yescharacteristic
1252#102C23×C1911yescharacteristic
1253#102C23×C1911yescharacteristic
1254C22⋊C8C23×C1911yescharacteristic
1255C22⋊C8C23×C1911yescharacteristic
1256C22⋊C8C23×C1911yescharacteristic
1257C22⋊C8C23×C1911yescharacteristic
1258#97C23×C1911yescharacteristic
1259#97C23×C1911yescharacteristic
1260#97C23×C1911yescharacteristic
1261#97C23×C1911yescharacteristic
1262C4×C8C23×C1911yescharacteristic
1263C4×C8C23×C1911yescharacteristic
1264C4×C8C23×C1911yescharacteristic
1265C4×C8C23×C1911yescharacteristic
1266C4×C8C23×C1911yescharacteristic
1267C4×C8C23×C1911yescharacteristic
1268C4×C8C23×C1911yescharacteristic
1269C4×C8C23×C1911yescharacteristic
1270C19#6186711yescharacteristic, direct product factor, Sylow
1271#41—22no—
1272#41—22no—
1273C2×Q8—21no—
1274C2×Q8—21no—
1275C2×Q8—21no—
1276C2×Q8—21no—
1277C2×Q8—21no—
1278C2×Q8—21no—
1279C2×Q8C2×D4×C1911yescharacteristic
1280C2×Q8C2×D4×C1911yescharacteristic
1281C2×Q8C2×D4×C1911yescharacteristic
1282C2×Q8C2×D4×C1911yescharacteristic
1283C2×Q8C24×C1911yescharacteristic
1284C2×Q8C24×C1911yescharacteristic
1285C2×Q8C24×C1911yescharacteristic
1286C2×D4—21no—
1287C2×D4—21no—
1288C2×D4—21no—
1289C2×D4—21no—
1290C2×D4—21no—
1291C2×D4C24×C1911yescharacteristic
1292C2×D4C24×C1911yescharacteristic
1293C2×D4C24×C1911yescharacteristic
1294C22×C4—21no—
1295C22×C4—21no—
1296C22×C4—21no—
1297C22×C4—21no—
1298C22×C4—21no—
1299C22×C4—21no—
1300C22×C4—21no—
1301C22×C4—21no—
1302C22×C4—21no—
1303C22×C4—21no—
1304C22×C4—21no—
1305C22×C4—21no—
1306C22×C4—21no—
1307C22×C4—21no—
1308C22×C4—21no—
1309C22×C4C2×D4×C1911yescharacteristic
1310C22×C4C2×D4×C1911yescharacteristic
1311C22×C4C24×C1911yescharacteristic
1312Q16—22no—
1313Q16—22no—
1314SD16—22no—
1315SD16—22no—
1316SD16—22no—
1317SD16—22no—
1318D8—22no—
1319D8—22no—
1320C2×C8C24×C1911yescharacteristic
1321C2×C8C24×C1911yescharacteristic
1322C2×C8C24×C1911yescharacteristic
1323C2×C8C24×C1911yescharacteristic
1324C2×C8C24×C1911yescharacteristic
1325C2×C8C24×C1911yescharacteristic
1326C2×C8C24×C1911yescharacteristic
1327C2×C8C24×C1911yescharacteristic
1328C4⋊C4—21no—
1329C4⋊C4—21no—
1330C4⋊C4—21no—
1331C4⋊C4—21no—
1332C4⋊C4—21no—
1333C4⋊C4—21no—
1334C4⋊C4—21no—
1335C4⋊C4—21no—
1336C4⋊C4—21no—
1337C4⋊C4—21no—
1338C4⋊C4—21no—
1339C4⋊C4—21no—
1340C4⋊C4—21no—
1341C4⋊C4—21no—
1342C4⋊C4—21no—
1343C4⋊C4—21no—
1344C4⋊C4—21no—
1345C4⋊C4—21no—
1346C4⋊C4—21no—
1347C4⋊C4—21no—
1348C4⋊C4—21no—
1349C4⋊C4—21no—
1350C4⋊C4—21no—
1351C4⋊C4—21no—
1352C4⋊C4—21no—
1353C4⋊C4—21no—
1354C4⋊C4—21no—
1355C4⋊C4—21no—
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—21no—
1362C4⋊C4—21no—
1363C4⋊C4—21no—
1364C4⋊C4—21no—
1365C4⋊C4—21no—
1366C4⋊C4—21no—
1367C4⋊C4—21no—
1368C4⋊C4—21no—
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4C2×D4×C1911yescharacteristic
1377C4⋊C4C2×D4×C1911yescharacteristic
1378C4⋊C4C2×D4×C1911yescharacteristic
1379C4⋊C4C2×D4×C1911yescharacteristic
1380C4⋊C4C2×D4×C1911yescharacteristic
1381C4⋊C4C2×D4×C1911yescharacteristic
1382C4⋊C4C2×D4×C1911yescharacteristic
1383C4⋊C4C2×D4×C1911yescharacteristic
1384C4⋊C4C2×D4×C1911yescharacteristic
1385C4⋊C4C2×D4×C1911yescharacteristic
1386C4⋊C4C2×D4×C1911yescharacteristic
1387C4⋊C4C2×D4×C1911yescharacteristic
1388C4⋊C4C2×D4×C1911yescharacteristic
1389C4⋊C4C2×D4×C1911yescharacteristic
1390C4⋊C4C2×D4×C1911yescharacteristic
1391C4⋊C4C2×D4×C1911yescharacteristic
1392C4⋊C4C24×C1911yescharacteristic
1393C4⋊C4C24×C1911yescharacteristic
1394C4⋊C4C24×C1911yescharacteristic
1395C4⋊C4C24×C1911yescharacteristic
1396C4⋊C4C24×C1911yescharacteristic
1397C4⋊C4C24×C1911yescharacteristic
1398C4⋊C4C24×C1911yescharacteristic
1399C4⋊C4C24×C1911yescharacteristic
1400C4⋊C4C24×C1911yescharacteristic
1401C4⋊C4C24×C1911yescharacteristic
1402C22⋊C4—21no—
1403C22⋊C4—21no—
1404C22⋊C4—21no—
1405C22⋊C4—21no—
1406C22⋊C4—21no—
1407C22⋊C4—21no—
1408C22⋊C4—21no—
1409C22⋊C4—21no—
1410C22⋊C4—21no—
1411C22⋊C4—21no—
1412C22⋊C4—21no—
1413C22⋊C4—21no—
1414C22⋊C4—21no—
1415C22⋊C4—21no—
1416C22⋊C4—21no—
1417C22⋊C4—21no—
1418C22⋊C4—21no—
1419C22⋊C4—21no—
1420C22⋊C4—21no—
1421C22⋊C4—21no—
1422C22⋊C4—21no—
1423C22⋊C4—21no—
1424C22⋊C4—21no—
1425C22⋊C4—21no—
1426C22⋊C4—21no—
1427C22⋊C4C2×D4×C1911yescharacteristic
1428C22⋊C4C2×D4×C1911yescharacteristic
1429C22⋊C4C2×D4×C1911yescharacteristic
1430C22⋊C4C2×D4×C1911yescharacteristic
1431C42—21no—
1432C42—21no—
1433C42—21no—
1434C42—21no—
1435C42—21no—
1436C42—21no—
1437C42—21no—
1438C42—21no—
1439C42—21no—
1440C42—21no—
1441C42—21no—
1442C42—21no—
1443C42—21no—
1444C42C2×D4×C1911yescharacteristic
1445C42C2×D4×C1911yescharacteristic
1446C42C24×C1911yescharacteristic
1447C42C24×C1911yescharacteristic
1448C42C24×C1911yescharacteristic
1449C42C24×C1911yescharacteristic
1450C42C24×C1911yescharacteristic
1451C42C24×C1911yescharacteristic
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23C22×D4×C1911yescharacteristic
1456Q8—21no—
1457Q8—21no—
1458Q8—21no—
1459Q8—21no—
1460Q8—21no—
1461Q8—41no—
1462Q8—41no—
1463Q8—41no—
1464Q8—41no—
1465Q8—81no—
1466Q8—81no—
1467Q8—81no—
1468Q8—81no—
1469Q8—81no—
1470Q8—81no—
1471Q8C19×2−1+412yes—
1472D4—24no—
1473D4—21no—
1474D4—21no—
1475D4—21no—
1476D4—21no—
1477D4—21no—
1478D4—81no—
1479D4—81no—
1480D4—81no—
1481D4—81no—
1482D4C19×2−1+412yes—
1483C2×C4—24no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—41no—
1500C2×C4—41no—
1501C2×C4—81no—
1502C2×C4—81no—
1503C2×C4—81no—
1504C2×C4—81no—
1505C2×C4—81no—
1506C2×C4—81no—
1507C2×C4—81no—
1508C2×C4—81no—
1509C2×C4—81no—
1510C2×C4—81no—
1511C2×C4—81no—
1512C2×C4—81no—
1513C2×C4—81no—
1514C2×C4—81no—
1515C2×C4C22×D4×C1911yescharacteristic
1516C2×C4C22×D4×C1911yescharacteristic
1517C2×C4C22×D4×C1911yescharacteristic
1518C2×C4C22×D4×C1911yescharacteristic
1519C2×C4C22×D4×C1911yescharacteristic
1520C2×C4C22×D4×C1911yescharacteristic
1521C2×C4C22×D4×C1911yescharacteristic
1522C2×C4C22×D4×C1911yescharacteristic
1523C2×C4C22×D4×C1911yescharacteristic
1524C2×C4C22×D4×C1911yescharacteristic
1525C2×C4C22×D4×C1911yescharacteristic
1526C2×C4C22×D4×C1911yescharacteristic
1527C2×C4C22×D4×C1911yescharacteristic
1528C2×C4C25×C1911yescharacteristic
1529C8—21no—
1530C8—21no—
1531C8—21no—
1532C8—21no—
1533C8—21no—
1534C8—21no—
1535C8—21no—
1536C8—21no—
1537C22—21no—
1538C22—22no—
1539C22—21no—
1540C22—21no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22C23×D4×C1911yescharacteristic
1550C4—21no—
1551C4—22no—
1552C4—21no—
1553C4—21no—
1554C4—21no—
1555C4—21no—
1556C4—21no—
1557C4—21no—
1558C4—21no—
1559C4—21no—
1560C4—21no—
1561C4—21no—
1562C4—21no—
1563C4—21no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4C2×C19×2−1+411yescharacteristic
1577C4C2×C19×2−1+411yescharacteristic
1578C2—41no—
1579C2—42no—
1580C2—81no—
1581C2—81no—
1582C2C19×#348611yescharacteristic
1583C2C19×#358411yescharacteristic
1584C2C19×#358411yescharacteristic
subgroupG/H
center, socleC22×C19C23×D4
commutator, Frattini, cosocleC2×C4C25×C19
prime radicalC19×#3119C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C19 ◁ C19×#533 ◁ G

Complements

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

NH ≅ G/Ntype
1. C19×#3557C2semidirect
2. C19×#3504C2semidirect
3. C19×#3390C2semidirect
4. C19×#3389C2semidirect
5. C19×#3388C2semidirect
6. C19×#3388C2semidirect
7. C19×#3383C2semidirect
8. C19×#3381C2semidirect
9. C19×#3381C2semidirect
10. C19×#3380C2semidirect
11. C19×#3377C2semidirect
12. C19×#3376C2semidirect
13. C19×#3371C2semidirect
14. C19×#3370C2semidirect
15. C19×#3365C2semidirect
16. C19×#3364C2semidirect
17. C19×#3361C2semidirect
18. C19×#3360C2semidirect
19. C19×#3244C2semidirect
20. C19×#3243C2semidirect
21. C19×#3242C2semidirect
22. C19×#3241C2semidirect
23. C19×#3232C2semidirect
24. C19×#3232C2semidirect
25. C19×#3125C2semidirect
26. C19×#3124C2semidirect
27. C19×#3120C2semidirect
29. C19×#3102C2semidirect
30. C19×#3102C2semidirect
31. C19×#2986C2semidirect
659. #61867C19direct (N × H)
745. #3557C2×C19semidirect
746. #3504C2×C19semidirect
747. #3390C2×C19semidirect
748. #3389C2×C19semidirect
749. #3388C2×C19semidirect
750. #3388C2×C19semidirect
751. #3383C2×C19semidirect
752. #3381C2×C19semidirect
753. #3381C2×C19semidirect
754. #3380C2×C19semidirect
755. #3377C2×C19semidirect
756. #3376C2×C19semidirect
757. #3371C2×C19semidirect
758. #3370C2×C19semidirect
759. #3365C2×C19semidirect
760. #3364C2×C19semidirect
761. #3361C2×C19semidirect
762. #3360C2×C19semidirect
763. #3244C2×C19semidirect
764. #3243C2×C19semidirect
765. #3242C2×C19semidirect
766. #3241C2×C19semidirect
767. #3232C2×C19semidirect
768. #3232C2×C19semidirect
769. #3125C2×C19semidirect
770. #3124C2×C19semidirect
771. #3120C2×C19semidirect
773. #3102C2×C19semidirect
774. #3102C2×C19semidirect
775. #2986C2×C19semidirect
1270. C19#61867direct (N × H)

Maximal subgroups

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

subgroupindex
C19×#35572
C19×#35042
C19×#33902
C19×#33892
C19×#33882
C19×#33832
C19×#33812
C19×#33802
C19×#33772
C19×#33762
C19×#33712
C19×#33702
C19×#33652
C19×#33642
C19×#33612
C19×#33602
C19×#32442
C19×#32432
C19×#32422
C19×#32412
C19×#32322
C19×#31252
C19×#31242
C19×#31202
C19×#31192
C19×#31022
C19×#29862
#6186719