Finite Group Databasebeta

← C19×#61862 #18067821

Subgroups — C19×#61862 #18067821

Order 4864.

1614 conjugacy classes of subgroups.

The subgroup lattice has 1570 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C19×#3555C211yesmaximal, characteristic, complemented
2C19×#3504C211yesmaximal, characteristic, complemented
3C19×#3390C211yesmaximal, characteristic, complemented
4C19×#3389C211yesmaximal, characteristic, complemented
5C19×#3388C211yesmaximal, characteristic, complemented
6C19×#3388C211yesmaximal, characteristic, complemented
7C19×#3387C211yesmaximal, characteristic, complemented
8C19×#3385C211yesmaximal, characteristic, complemented
9C19×#3383C211yesmaximal, characteristic, complemented
10C19×#3381C211yesmaximal, characteristic, complemented
11C19×#3377C211yesmaximal, characteristic, complemented
12C19×#3377C211yesmaximal, characteristic, complemented
13C19×#3376C211yesmaximal, characteristic, complemented
14C19×#3376C211yesmaximal, characteristic, complemented
15C19×#3374C211yesmaximal, characteristic, complemented
16C19×#3372C211yesmaximal, characteristic, complemented
17C19×#3364C211yesmaximal, characteristic, complemented
18C19×#3360C211yesmaximal, characteristic, complemented
19C19×#3244C211yesmaximal, characteristic, complemented
20C19×#3243C211yesmaximal, characteristic, complemented
21C19×#3242C211yesmaximal, characteristic, complemented
22C19×#3242C211yesmaximal, characteristic, complemented
23C19×#3236C211yesmaximal, characteristic, complemented
24C19×#3232C211yesmaximal, characteristic, complemented
25C19×#3125C211yesmaximal, characteristic
26C19×#3124C211yesmaximal, characteristic
27C19×#3120C211yesmaximal, characteristic, complemented
28C19×#3120C211yesmaximal, characteristic, complemented
29C19×#3111C211yesmaximal, characteristic
30C19×#3107C211yesmaximal, characteristic, complemented
31C19×#2985C211yesmaximal, characteristic, complemented
32C19×#563—21no—
33C19×#563—21no—
34Q82×C19C2211yescharacteristic
35C19×#557C2211yescharacteristic
36C19×#557C2211yescharacteristic
37C19×#557C2211yescharacteristic
38C19×#557C2211yescharacteristic
39C19×#557C2211yescharacteristic
40C19×#557C2211yescharacteristic
41C19×#557C2211yescharacteristic
42C19×#556—21no—
43C19×#556C2211yescharacteristic
44C19×#556C2211yescharacteristic
45C19×#556C2211yescharacteristic
46C19×#554—21no—
47C19×#554—21no—
48C19×#554—21no—
49C19×#554—21no—
50C19×#554C2211yescharacteristic
51C19×#554C2211yescharacteristic
52C19×#554C2211yescharacteristic
53C19×#554C2211yescharacteristic
54C19×#554C2211yescharacteristic
55C19×#552—21no—
56C19×#544—21no—
57C19×#544—21no—
58C19×#544—21no—
59C19×#544C2211yescharacteristic
60C19×#544C2211yescharacteristic
61C19×#542C2211yescharacteristic
62C19×#542C2211yescharacteristic
63C19×#541—21no—
64C19×#541—21no—
65C19×#541—21no—
66C19×#541C2211yescharacteristic
67C19×#541C2211yescharacteristic
68C19×#533—21no—
69C19×#533C2211yescharacteristic
70C19×#533C2211yescharacteristic
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×#501C2211yescharacteristic
82C19×#501C2211yescharacteristic
83C19×#500C2211yescharacteristic
84C19×#499C2211yescharacteristic
85C19×#499C2211yescharacteristic
86C19×#499C2211yescharacteristic
87C19×#499C2211yescharacteristic
88C19×#498C2211yescharacteristic
89C19×#491C2211yescharacteristic
90C19×#491C2211yescharacteristic
91C19×#491C2211yescharacteristic
92C19×#491C2211yescharacteristic
93C19×#489C2211yescharacteristic
94C19×#489C2211yescharacteristic
95C19×#488C2211yescharacteristic
96C19×#488C2211yescharacteristic
97C19×#488C2211yescharacteristic
98C19×#488C2211yescharacteristic
99C19×#487C2211yescharacteristic
100C19×#487C2211yescharacteristic
101C19×#485C2211yescharacteristic
102C19×#485C2211yescharacteristic
103C19×#485C2211yescharacteristic
104C19×#484C2211yescharacteristic
105C19×#484C2211yescharacteristic
106C19×#484C2211yescharacteristic
107C19×#483C2211yescharacteristic
108C19×#483C2211yescharacteristic
109C19×#483C2211yescharacteristic
110C19×#482C2211yescharacteristic
111C19×#481C2211yescharacteristic
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×#479C2211yescharacteristic
126C19×#479C2211yescharacteristic
127C19×#479C2211yescharacteristic
128C19×#478C2211yescharacteristic
129C19×#478C2211yescharacteristic
130C19×#478C2211yescharacteristic
131C19×#478C2211yescharacteristic
132C19×#478C2211yescharacteristic
133C19×#478C2211yescharacteristic
134C19×#478C2211yescharacteristic
135C19×#477C2211yescharacteristic
136C19×#477C2211yescharacteristic
137C19×#477C2211yescharacteristic
138C19×#477C2211yescharacteristic
139C19×#476C2211yescharacteristic
140C19×#476C2211yescharacteristic
141C19×#475C2211yescharacteristic
142C19×#475C2211yescharacteristic
143C19×#475C2211yescharacteristic
144C19×#475C2211yescharacteristic
145C19×#475C2211yescharacteristic
146C19×#474C2211yescharacteristic
147C19×#474C2211yescharacteristic
148C19×#474C2211yescharacteristic
149C19×#464C2211yescharacteristic
150C19×#464C2211yescharacteristic
151C19×#464C2211yescharacteristic
152C19×#463C2211yescharacteristic
153C19×#463C2211yescharacteristic
154C19×#463C2211yescharacteristic
155C19×#462C2211yescharacteristic
156C19×#462C2211yescharacteristic
157C19×#462C2211yescharacteristic
158C19×#461C2211yescharacteristic
159C19×#461C2211yescharacteristic
160C19×#461C2211yescharacteristic
161C19×#452C2211yescharacteristic
162C19×#452C2211yescharacteristic
163C19×#452C2211yescharacteristic
164C19×#449C2211yescharacteristic
165C19×#446C2211yescharacteristic
166C19×#446C2211yescharacteristic
167C19×#446C2211yescharacteristic
168C19×#446C2211yescharacteristic
169C19×#446C2211yescharacteristic
170C19×#446C2211yescharacteristic
171C8×Q8×C19C2211yescharacteristic
172C8×Q8×C19C2211yescharacteristic
173C19×#442C2211yescharacteristic
174C19×#442C2211yescharacteristic
175C19×#441C2211yescharacteristic
176C19×#441C2211yescharacteristic
177C19×#441C2211yescharacteristic
178C19×#441C2211yescharacteristic
179C19×#440C2211yescharacteristic
180C19×#440C2211yescharacteristic
181C19×#440C2211yescharacteristic
182C19×#440C2211yescharacteristic
183C19×#440C2211yescharacteristic
184C19×#440C2211yescharacteristic
185C4×Q16×C19C2211yescharacteristic
186C4×Q16×C19C2211yescharacteristic
187C4×Q16×C19C2211yescharacteristic
188C4×Q16×C19C2211yescharacteristic
189C4×Q16×C19C2211yescharacteristic
190C4×SD16×C19C2211yescharacteristic
191C4×SD16×C19C2211yescharacteristic
192C4×SD16×C19C2211yescharacteristic
193C4×SD16×C19C2211yescharacteristic
194C4×SD16×C19C2211yescharacteristic
195C4×SD16×C19C2211yescharacteristic
196C4×D8×C19C2211yescharacteristic
197C19×#433C2211yescharacteristic
198C19×#433C2211yescharacteristic
199C19×#433C2211yescharacteristic
200C19×#433C2211yescharacteristic
201C19×#432C2211yescharacteristic
202C19×#431C2211yescharacteristic
203C2×#41×C19C2311yescharacteristic
204C2×Q16×C19C2311yescharacteristic
205C2×Q16×C19C2311yescharacteristic
206C2×Q16×C19C2311yescharacteristic
207C2×SD16×C19C2311yescharacteristic
208C2×SD16×C19C2311yescharacteristic
209C2×SD16×C19C2311yescharacteristic
210C2×SD16×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⋊Q8—21no—
221C19×C4⋊Q8—21no—
222C19×C4⋊Q8—21no—
223C19×C4⋊Q8D411yescharacteristic
224C19×C4⋊Q8D411yescharacteristic
225C19×C4⋊Q8C2311yescharacteristic
226C19×C4⋊Q8C2311yescharacteristic
227C19×C4⋊Q8C2311yescharacteristic
228C19×C4⋊Q8C2311yescharacteristic
229C19×C4⋊Q8C2311yescharacteristic
230C19×C4⋊Q8C2311yescharacteristic
231C19×C4⋊Q8C2311yescharacteristic
232C19×C4⋊Q8C2311yescharacteristic
233C19×C4⋊Q8C2311yescharacteristic
234C19×C4⋊Q8C2311yescharacteristic
235C19×#126—21no—
236C19×#126—21no—
237C19×#126—21no—
238C19×#126—21no—
239C19×#126—21no—
240C19×#126—21no—
241C19×#126—21no—
242C19×#126—21no—
243C19×#126—21no—
244C19×#126—21no—
245C19×#126—21no—
246C19×#126—21no—
247C19×#126—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×#125—21no—
259C19×#125—21no—
260C19×#125—21no—
261C19×#125—21no—
262C19×#125—21no—
263C19×#125—21no—
264C19×#125—21no—
265C19×#125—21no—
266C19×#125—21no—
267C19×#125—21no—
268C19×#125—21no—
269C19×#125—21no—
270C19×#125—21no—
271C19×#125—21no—
272C19×#125D411yescharacteristic
273C19×#125D411yescharacteristic
274C19×#125C2311yescharacteristic
275C19×#125C2311yescharacteristic
276C19×#125C2311yescharacteristic
277C19×#125C2311yescharacteristic
278C19×#125C2311yescharacteristic
279C19×#125C2311yescharacteristic
280C19×#125C2311yescharacteristic
281C19×#125C2311yescharacteristic
282C19×#125C2311yescharacteristic
283C19×#125C2311yescharacteristic
284C19×#125C2311yescharacteristic
285C19×#124—21no—
286C19×#124—21no—
287C19×#124C2311yescharacteristic
288C19×#124C2311yescharacteristic
289C19×#124C2311yescharacteristic
290C19×#123—21no—
291C19×#123—21no—
292C19×#123—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⋊Q8—21no—
317C19×C22⋊Q8—21no—
318C19×C22⋊Q8D411yescharacteristic
319C19×C22⋊Q8D411yescharacteristic
320C19×C22⋊Q8D411yescharacteristic
321C19×C22⋊Q8D411yescharacteristic
322C19×C22⋊Q8C2311yescharacteristic
323C19×C22⋊Q8C2311yescharacteristic
324C19×C22⋊Q8C2311yescharacteristic
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×C19—21no—
333C4×Q8×C19—21no—
334C4×Q8×C19—21no—
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×Q8×C19C2311yescharacteristic
349C4×Q8×C19C2311yescharacteristic
350C4×Q8×C19C2311yescharacteristic
351C4×Q8×C19C2311yescharacteristic
352C4×Q8×C19C2311yescharacteristic
353C4×Q8×C19C2311yescharacteristic
354C4×D4×C19—21no—
355C4×D4×C19—21no—
356C4×D4×C19—21no—
357C4×D4×C19—21no—
358C4×D4×C19—21no—
359C4×D4×C19—21no—
360C4×D4×C19—21no—
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×#117—21no—
378C19×#117C2311yescharacteristic
379C19×#117C2311yescharacteristic
380C19×#117C2311yescharacteristic
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×#103C2311yescharacteristic
447C19×#103C2311yescharacteristic
448C19×#103C2311yescharacteristic
449C19×#103C2311yescharacteristic
450C19×#103C2311yescharacteristic
451C19×#103C2311yescharacteristic
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
470C19×#97C2311yescharacteristic
471C19×#97C2311yescharacteristic
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×C19—21no—
487C2×Q8×C19C2×D411yescharacteristic
488C2×Q8×C19C2×D411yescharacteristic
489C2×Q8×C19C2×D411yescharacteristic
490C2×Q8×C19C2×D411yescharacteristic
491C2×Q8×C19C2411yescharacteristic
492C2×Q8×C19C2411yescharacteristic
493C2×Q8×C19C2411yescharacteristic
494C2×Q8×C19C2411yescharacteristic
495C2×D4×C19—21no—
496C2×D4×C19—21no—
497C2×D4×C19C2411yescharacteristic
498C2×D4×C19C2411yescharacteristic
499C22×C4×C19—21no—
500C22×C4×C19—21no—
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×C19C2×D411yescharacteristic
512C22×C4×C19C2×D411yescharacteristic
513C22×C4×C19C2411yescharacteristic
514Q16×C19—22no—
515Q16×C19—22no—
516Q16×C19—22no—
517SD16×C19—22no—
518SD16×C19—22no—
519SD16×C19—22no—
520SD16×C19—22no—
521D8×C19—22no—
522C2×C8×C19C2411yescharacteristic
523C2×C8×C19C2411yescharacteristic
524C2×C8×C19C2411yescharacteristic
525C2×C8×C19C2411yescharacteristic
526C2×C8×C19C2411yescharacteristic
527C2×C8×C19C2411yescharacteristic
528C2×C8×C19C2411yescharacteristic
529C2×C8×C19C2411yescharacteristic
530C4⋊C4×C19—21no—
531C4⋊C4×C19—21no—
532C4⋊C4×C19—21no—
533C4⋊C4×C19—21no—
534C4⋊C4×C19—21no—
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×C19—21no—
584C4⋊C4×C19—21no—
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×C19C2×D411yescharacteristic
600C4⋊C4×C19C2×D411yescharacteristic
601C4⋊C4×C19C2411yescharacteristic
602C4⋊C4×C19C2411yescharacteristic
603C4⋊C4×C19C2411yescharacteristic
604C4⋊C4×C19C2411yescharacteristic
605C4⋊C4×C19C2411yescharacteristic
606C4⋊C4×C19C2411yescharacteristic
607C4⋊C4×C19C2411yescharacteristic
608C4⋊C4×C19C2411yescharacteristic
609C4⋊C4×C19C2411yescharacteristic
610C4⋊C4×C19C2411yescharacteristic
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×C19C2×D411yescharacteristic
632C22⋊C4×C19C2×D411yescharacteristic
633C22⋊C4×C19C2×D411yescharacteristic
634C22⋊C4×C19C2×D411yescharacteristic
635C42×C19—21no—
636C42×C19—21no—
637C42×C19—21no—
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#61862C1911yesmaximal, characteristic, direct product factor, Sylow
660C23×C19—21no—
661C23×C19—21no—
662C23×C19C22×D411yescharacteristic
663Q8×C19—21no—
664Q8×C19—21no—
665Q8×C19—21no—
666Q8×C19—21no—
667Q8×C19—21no—
668Q8×C19—21no—
669Q8×C19—21no—
670Q8×C19—41no—
671Q8×C19—41no—
672Q8×C19—41no—
673Q8×C19—41no—
674Q8×C19—81no—
675Q8×C19—81no—
676Q8×C19—81no—
677Q8×C19—81no—
678Q8×C19—81no—
679Q8×C19—81no—
680Q8×C19—81no—
681Q8×C192−1+412yes—
682D4×C19—24no—
683D4×C19—21no—
684D4×C19—21no—
685D4×C19—21no—
686D4×C19—81no—
687D4×C192−1+412yes—
688C2×C4×C19—24no—
689C2×C4×C19—21no—
690C2×C4×C19—21no—
691C2×C4×C19—21no—
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—41no—
706C2×C4×C19—41no—
707C2×C4×C19—42no—
708C2×C4×C19—81no—
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×C19C22×D411yescharacteristic
719C2×C4×C19C22×D411yescharacteristic
720C2×C4×C19C22×D411yescharacteristic
721C2×C4×C19C22×D411yescharacteristic
722C2×C4×C19C22×D411yescharacteristic
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×C19C2511yescharacteristic
732C8×C19—21no—
733C8×C19—21no—
734C8×C19—21no—
735C8×C19—21no—
736C8×C19—21no—
737C8×C19—21no—
738C8×C19—21no—
739C8×C19—21no—
740#3555C2×C1911yescharacteristic, complemented
741#3504C2×C1911yescharacteristic, complemented
742#3390C2×C1911yescharacteristic, complemented
743#3389C2×C1911yescharacteristic, complemented
744#3388C2×C1911yescharacteristic, complemented
745#3388C2×C1911yescharacteristic, complemented
746#3387C2×C1911yescharacteristic, complemented
747#3385C2×C1911yescharacteristic, complemented
748#3383C2×C1911yescharacteristic, complemented
749#3381C2×C1911yescharacteristic, complemented
750#3377C2×C1911yescharacteristic, complemented
751#3377C2×C1911yescharacteristic, complemented
752#3376C2×C1911yescharacteristic, complemented
753#3376C2×C1911yescharacteristic, complemented
754#3374C2×C1911yescharacteristic, complemented
755#3372C2×C1911yescharacteristic, complemented
756#3364C2×C1911yescharacteristic, complemented
757#3360C2×C1911yescharacteristic, complemented
758#3244C2×C1911yescharacteristic, complemented
759#3243C2×C1911yescharacteristic, complemented
760#3242C2×C1911yescharacteristic, complemented
761#3242C2×C1911yescharacteristic, complemented
762#3236C2×C1911yescharacteristic, complemented
763#3232C2×C1911yescharacteristic, complemented
764#3125C2×C1911yescharacteristic
765#3124C2×C1911yescharacteristic
766#3120C2×C1911yescharacteristic, complemented
767#3120C2×C1911yescharacteristic, complemented
768#3111C2×C1911yescharacteristic
769#3107C2×C1911yescharacteristic, complemented
770#2985C2×C1911yescharacteristic, complemented
771C22×C19—21no—
772C22×C19—21no—
773C22×C19—21no—
774C22×C19—22no—
775C22×C19—41no—
776C22×C19—41no—
777C22×C19—41no—
778C22×C19—41no—
779C22×C19—41no—
780C22×C19C23×D411yescharacteristic
781C4×C19—21no—
782C4×C19—21no—
783C4×C19—21no—
784C4×C19—21no—
785C4×C19—21no—
786C4×C19—21no—
787C4×C19—21no—
788C4×C19—21no—
789C4×C19—21no—
790C4×C19—21no—
791C4×C19—21no—
792C4×C19—21no—
793C4×C19—21no—
794C4×C19—22no—
795C4×C19—41no—
796C4×C19—41no—
797C4×C19—41no—
798C4×C19—41no—
799C4×C19—41no—
800C4×C19—41no—
801C4×C19—41no—
802C4×C19—41no—
803C4×C19—41no—
804C4×C19—41no—
805C4×C19—41no—
806C4×C19—41no—
807C4×C19—41no—
808C4×C19C2×2−1+411yescharacteristic
809C4×C19C2×2−1+411yescharacteristic
810#563—21no—
811#563—21no—
812Q82C22×C1911yescharacteristic
813#557C22×C1911yescharacteristic
814#557C22×C1911yescharacteristic
815#557C22×C1911yescharacteristic
816#557C22×C1911yescharacteristic
817#557C22×C1911yescharacteristic
818#557C22×C1911yescharacteristic
819#557C22×C1911yescharacteristic
820#556—21no—
821#556C22×C1911yescharacteristic
822#556C22×C1911yescharacteristic
823#556C22×C1911yescharacteristic
824#554—21no—
825#554—21no—
826#554—21no—
827#554—21no—
828#554C22×C1911yescharacteristic
829#554C22×C1911yescharacteristic
830#554C22×C1911yescharacteristic
831#554C22×C1911yescharacteristic
832#554C22×C1911yescharacteristic
833#552—21no—
834#544—21no—
835#544—21no—
836#544—21no—
837#544C22×C1911yescharacteristic
838#544C22×C1911yescharacteristic
839#542C22×C1911yescharacteristic
840#542C22×C1911yescharacteristic
841#541—21no—
842#541—21no—
843#541—21no—
844#541C22×C1911yescharacteristic
845#541C22×C1911yescharacteristic
846#533—21no—
847#533C22×C1911yescharacteristic
848#533C22×C1911yescharacteristic
849#529C22×C1911yescharacteristic
850C2×#125—21no—
851C2×#125C22×C1911yescharacteristic
852#520C22×C1911yescharacteristic
853#520C22×C1911yescharacteristic
854C4×#41C22×C1911yescharacteristic
855#501C22×C1911yescharacteristic
856#501C22×C1911yescharacteristic
857#501C22×C1911yescharacteristic
858#501C22×C1911yescharacteristic
859#501C22×C1911yescharacteristic
860#501C22×C1911yescharacteristic
861#500C22×C1911yescharacteristic
862#499C22×C1911yescharacteristic
863#499C22×C1911yescharacteristic
864#499C22×C1911yescharacteristic
865#499C22×C1911yescharacteristic
866#498C22×C1911yescharacteristic
867#491C22×C1911yescharacteristic
868#491C22×C1911yescharacteristic
869#491C22×C1911yescharacteristic
870#491C22×C1911yescharacteristic
871#489C22×C1911yescharacteristic
872#489C22×C1911yescharacteristic
873#488C22×C1911yescharacteristic
874#488C22×C1911yescharacteristic
875#488C22×C1911yescharacteristic
876#488C22×C1911yescharacteristic
877#487C22×C1911yescharacteristic
878#487C22×C1911yescharacteristic
879#485C22×C1911yescharacteristic
880#485C22×C1911yescharacteristic
881#485C22×C1911yescharacteristic
882#484C22×C1911yescharacteristic
883#484C22×C1911yescharacteristic
884#484C22×C1911yescharacteristic
885#483C22×C1911yescharacteristic
886#483C22×C1911yescharacteristic
887#483C22×C1911yescharacteristic
888#482C22×C1911yescharacteristic
889#481C22×C1911yescharacteristic
890#480C22×C1911yescharacteristic
891#479C22×C1911yescharacteristic
892#479C22×C1911yescharacteristic
893#479C22×C1911yescharacteristic
894#479C22×C1911yescharacteristic
895#479C22×C1911yescharacteristic
896#479C22×C1911yescharacteristic
897#479C22×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#478C22×C1911yescharacteristic
907#478C22×C1911yescharacteristic
908#478C22×C1911yescharacteristic
909#478C22×C1911yescharacteristic
910#478C22×C1911yescharacteristic
911#478C22×C1911yescharacteristic
912#478C22×C1911yescharacteristic
913#477C22×C1911yescharacteristic
914#477C22×C1911yescharacteristic
915#477C22×C1911yescharacteristic
916#477C22×C1911yescharacteristic
917#476C22×C1911yescharacteristic
918#476C22×C1911yescharacteristic
919#475C22×C1911yescharacteristic
920#475C22×C1911yescharacteristic
921#475C22×C1911yescharacteristic
922#475C22×C1911yescharacteristic
923#475C22×C1911yescharacteristic
924#474C22×C1911yescharacteristic
925#474C22×C1911yescharacteristic
926#474C22×C1911yescharacteristic
927#464C22×C1911yescharacteristic
928#464C22×C1911yescharacteristic
929#464C22×C1911yescharacteristic
930#463C22×C1911yescharacteristic
931#463C22×C1911yescharacteristic
932#463C22×C1911yescharacteristic
933#462C22×C1911yescharacteristic
934#462C22×C1911yescharacteristic
935#462C22×C1911yescharacteristic
936#461C22×C1911yescharacteristic
937#461C22×C1911yescharacteristic
938#461C22×C1911yescharacteristic
939#452C22×C1911yescharacteristic
940#452C22×C1911yescharacteristic
941#452C22×C1911yescharacteristic
942#449C22×C1911yescharacteristic
943#446C22×C1911yescharacteristic
944#446C22×C1911yescharacteristic
945#446C22×C1911yescharacteristic
946#446C22×C1911yescharacteristic
947#446C22×C1911yescharacteristic
948#446C22×C1911yescharacteristic
949C8×Q8C22×C1911yescharacteristic
950C8×Q8C22×C1911yescharacteristic
951#442C22×C1911yescharacteristic
952#442C22×C1911yescharacteristic
953#441C22×C1911yescharacteristic
954#441C22×C1911yescharacteristic
955#441C22×C1911yescharacteristic
956#441C22×C1911yescharacteristic
957#440C22×C1911yescharacteristic
958#440C22×C1911yescharacteristic
959#440C22×C1911yescharacteristic
960#440C22×C1911yescharacteristic
961#440C22×C1911yescharacteristic
962#440C22×C1911yescharacteristic
963C4×Q16C22×C1911yescharacteristic
964C4×Q16C22×C1911yescharacteristic
965C4×Q16C22×C1911yescharacteristic
966C4×Q16C22×C1911yescharacteristic
967C4×Q16C22×C1911yescharacteristic
968C4×SD16C22×C1911yescharacteristic
969C4×SD16C22×C1911yescharacteristic
970C4×SD16C22×C1911yescharacteristic
971C4×SD16C22×C1911yescharacteristic
972C4×SD16C22×C1911yescharacteristic
973C4×SD16C22×C1911yescharacteristic
974C4×D8C22×C1911yescharacteristic
975#433C22×C1911yescharacteristic
976#433C22×C1911yescharacteristic
977#433C22×C1911yescharacteristic
978#433C22×C1911yescharacteristic
979#432C22×C1911yescharacteristic
980#431C22×C1911yescharacteristic
981C2×C19—41no—
982C2×C19—42no—
983C2×C19—81no—
984C2×C19#348611yescharacteristic
985C2×C19#358411yescharacteristic
986C2×C19#358611yescharacteristic
987C2×#41C23×C1911yescharacteristic
988C2×Q16C23×C1911yescharacteristic
989C2×Q16C23×C1911yescharacteristic
990C2×Q16C23×C1911yescharacteristic
991C2×SD16C23×C1911yescharacteristic
992C2×SD16C23×C1911yescharacteristic
993C2×SD16C23×C1911yescharacteristic
994C2×SD16C23×C1911yescharacteristic
995C2×D8C23×C1911yescharacteristic
996C4⋊Q8—21no—
997C4⋊Q8—21no—
998C4⋊Q8—21no—
999C4⋊Q8—21no—
1000C4⋊Q8—21no—
1001C4⋊Q8—21no—
1002C4⋊Q8—21no—
1003C4⋊Q8—21no—
1004C4⋊Q8—21no—
1005C4⋊Q8—21no—
1006C4⋊Q8—21no—
1007C4⋊Q8D4×C1911yescharacteristic
1008C4⋊Q8D4×C1911yescharacteristic
1009C4⋊Q8C23×C1911yescharacteristic
1010C4⋊Q8C23×C1911yescharacteristic
1011C4⋊Q8C23×C1911yescharacteristic
1012C4⋊Q8C23×C1911yescharacteristic
1013C4⋊Q8C23×C1911yescharacteristic
1014C4⋊Q8C23×C1911yescharacteristic
1015C4⋊Q8C23×C1911yescharacteristic
1016C4⋊Q8C23×C1911yescharacteristic
1017C4⋊Q8C23×C1911yescharacteristic
1018C4⋊Q8C23×C1911yescharacteristic
1019#126—21no—
1020#126—21no—
1021#126—21no—
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#125—21no—
1051#125—21no—
1052#125—21no—
1053#125—21no—
1054#125—21no—
1055#125—21no—
1056#125D4×C1911yescharacteristic
1057#125D4×C1911yescharacteristic
1058#125C23×C1911yescharacteristic
1059#125C23×C1911yescharacteristic
1060#125C23×C1911yescharacteristic
1061#125C23×C1911yescharacteristic
1062#125C23×C1911yescharacteristic
1063#125C23×C1911yescharacteristic
1064#125C23×C1911yescharacteristic
1065#125C23×C1911yescharacteristic
1066#125C23×C1911yescharacteristic
1067#125C23×C1911yescharacteristic
1068#125C23×C1911yescharacteristic
1069#124—21no—
1070#124—21no—
1071#124C23×C1911yescharacteristic
1072#124C23×C1911yescharacteristic
1073#124C23×C1911yescharacteristic
1074#123—21no—
1075#123—21no—
1076#123—21no—
1077C22⋊Q8—21no—
1078C22⋊Q8—21no—
1079C22⋊Q8—21no—
1080C22⋊Q8—21no—
1081C22⋊Q8—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⋊Q8D4×C1911yescharacteristic
1103C22⋊Q8D4×C1911yescharacteristic
1104C22⋊Q8D4×C1911yescharacteristic
1105C22⋊Q8D4×C1911yescharacteristic
1106C22⋊Q8C23×C1911yescharacteristic
1107C22⋊Q8C23×C1911yescharacteristic
1108C22⋊Q8C23×C1911yescharacteristic
1109#121C23×C1911yescharacteristic
1110C4×Q8—21no—
1111C4×Q8—21no—
1112C4×Q8—21no—
1113C4×Q8—21no—
1114C4×Q8—21no—
1115C4×Q8—21no—
1116C4×Q8—21no—
1117C4×Q8—21no—
1118C4×Q8—21no—
1119C4×Q8C23×C1911yescharacteristic
1120C4×Q8C23×C1911yescharacteristic
1121C4×Q8C23×C1911yescharacteristic
1122C4×Q8C23×C1911yescharacteristic
1123C4×Q8C23×C1911yescharacteristic
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×D4—21no—
1139C4×D4—21no—
1140C4×D4—21no—
1141C4×D4—21no—
1142C4×D4—21no—
1143C4×D4—21no—
1144C4×D4—21no—
1145C4×D4C23×C1911yescharacteristic
1146C4×D4C23×C1911yescharacteristic
1147C4×D4C23×C1911yescharacteristic
1148C4×D4C23×C1911yescharacteristic
1149C4×D4C23×C1911yescharacteristic
1150C4×D4C23×C1911yescharacteristic
1151C4×D4C23×C1911yescharacteristic
1152C4×D4C23×C1911yescharacteristic
1153C4×D4C23×C1911yescharacteristic
1154#117—21no—
1155#117—21no—
1156#117—21no—
1157#117—21no—
1158#117—21no—
1159#117—21no—
1160#117—21no—
1161#117—21no—
1162#117C23×C1911yescharacteristic
1163#117C23×C1911yescharacteristic
1164#117C23×C1911yescharacteristic
1165C2×C4⋊C4—21no—
1166C2×C4⋊C4—21no—
1167C2×C4⋊C4—21no—
1168C2×C4⋊C4—21no—
1169C2×C4⋊C4—21no—
1170C2×C4⋊C4—21no—
1171C2×C4⋊C4—21no—
1172C2×C4⋊C4—21no—
1173C2×C4⋊C4—21no—
1174C2×C4⋊C4C23×C1911yescharacteristic
1175C2×C4⋊C4C23×C1911yescharacteristic
1176C2×C42—21no—
1177C2×C42C23×C1911yescharacteristic
1178#107C23×C1911yescharacteristic
1179#107C23×C1911yescharacteristic
1180#107C23×C1911yescharacteristic
1181#107C23×C1911yescharacteristic
1182#107C23×C1911yescharacteristic
1183#107C23×C1911yescharacteristic
1184#107C23×C1911yescharacteristic
1185#107C23×C1911yescharacteristic
1186#107C23×C1911yescharacteristic
1187#107C23×C1911yescharacteristic
1188#107C23×C1911yescharacteristic
1189#107C23×C1911yescharacteristic
1190#106C23×C1911yescharacteristic
1191#106C23×C1911yescharacteristic
1192#106C23×C1911yescharacteristic
1193#106C23×C1911yescharacteristic
1194#106C23×C1911yescharacteristic
1195#106C23×C1911yescharacteristic
1196#106C23×C1911yescharacteristic
1197#106C23×C1911yescharacteristic
1198#106C23×C1911yescharacteristic
1199#106C23×C1911yescharacteristic
1200#106C23×C1911yescharacteristic
1201#106C23×C1911yescharacteristic
1202C4⋊C8C23×C1911yescharacteristic
1203C4⋊C8C23×C1911yescharacteristic
1204C4⋊C8C23×C1911yescharacteristic
1205C4⋊C8C23×C1911yescharacteristic
1206C4⋊C8C23×C1911yescharacteristic
1207C4⋊C8C23×C1911yescharacteristic
1208C4⋊C8C23×C1911yescharacteristic
1209C4⋊C8C23×C1911yescharacteristic
1210C4⋊C8C23×C1911yescharacteristic
1211C4⋊C8C23×C1911yescharacteristic
1212C4⋊C8C23×C1911yescharacteristic
1213C4⋊C8C23×C1911yescharacteristic
1214#103C23×C1911yescharacteristic
1215#103C23×C1911yescharacteristic
1216#103C23×C1911yescharacteristic
1217#103C23×C1911yescharacteristic
1218#103C23×C1911yescharacteristic
1219#103C23×C1911yescharacteristic
1220#103C23×C1911yescharacteristic
1221#103C23×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#102C23×C1911yescharacteristic
1237#102C23×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
1246C22⋊C8C23×C1911yescharacteristic
1247C22⋊C8C23×C1911yescharacteristic
1248C22⋊C8C23×C1911yescharacteristic
1249C22⋊C8C23×C1911yescharacteristic
1250#97C23×C1911yescharacteristic
1251#97C23×C1911yescharacteristic
1252#97C23×C1911yescharacteristic
1253#97C23×C1911yescharacteristic
1254#97C23×C1911yescharacteristic
1255#97C23×C1911yescharacteristic
1256C4×C8C23×C1911yescharacteristic
1257C4×C8C23×C1911yescharacteristic
1258C4×C8C23×C1911yescharacteristic
1259C4×C8C23×C1911yescharacteristic
1260C4×C8C23×C1911yescharacteristic
1261C4×C8C23×C1911yescharacteristic
1262C19#6186211yescharacteristic, direct product factor, Sylow
1263#41—22no—
1264#41—22no—
1265C2×Q8—21no—
1266C2×Q8—21no—
1267C2×Q8—21no—
1268C2×Q8—21no—
1269C2×Q8—21no—
1270C2×Q8—21no—
1271C2×Q8—21no—
1272C2×Q8C2×D4×C1911yescharacteristic
1273C2×Q8C2×D4×C1911yescharacteristic
1274C2×Q8C2×D4×C1911yescharacteristic
1275C2×Q8C2×D4×C1911yescharacteristic
1276C2×Q8C24×C1911yescharacteristic
1277C2×Q8C24×C1911yescharacteristic
1278C2×Q8C24×C1911yescharacteristic
1279C2×Q8C24×C1911yescharacteristic
1280C2×D4—21no—
1281C2×D4—21no—
1282C2×D4C24×C1911yescharacteristic
1283C2×D4C24×C1911yescharacteristic
1284C22×C4—21no—
1285C22×C4—21no—
1286C22×C4—21no—
1287C22×C4—21no—
1288C22×C4—21no—
1289C22×C4—21no—
1290C22×C4—21no—
1291C22×C4—21no—
1292C22×C4—21no—
1293C22×C4—21no—
1294C22×C4—21no—
1295C22×C4—21no—
1296C22×C4C2×D4×C1911yescharacteristic
1297C22×C4C2×D4×C1911yescharacteristic
1298C22×C4C24×C1911yescharacteristic
1299Q16—22no—
1300Q16—22no—
1301Q16—22no—
1302SD16—22no—
1303SD16—22no—
1304SD16—22no—
1305SD16—22no—
1306D8—22no—
1307C2×C8C24×C1911yescharacteristic
1308C2×C8C24×C1911yescharacteristic
1309C2×C8C24×C1911yescharacteristic
1310C2×C8C24×C1911yescharacteristic
1311C2×C8C24×C1911yescharacteristic
1312C2×C8C24×C1911yescharacteristic
1313C2×C8C24×C1911yescharacteristic
1314C2×C8C24×C1911yescharacteristic
1315C4⋊C4—21no—
1316C4⋊C4—21no—
1317C4⋊C4—21no—
1318C4⋊C4—21no—
1319C4⋊C4—21no—
1320C4⋊C4—21no—
1321C4⋊C4—21no—
1322C4⋊C4—21no—
1323C4⋊C4—21no—
1324C4⋊C4—21no—
1325C4⋊C4—21no—
1326C4⋊C4—21no—
1327C4⋊C4—21no—
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⋊C4C2×D4×C1911yescharacteristic
1371C4⋊C4C2×D4×C1911yescharacteristic
1372C4⋊C4C2×D4×C1911yescharacteristic
1373C4⋊C4C2×D4×C1911yescharacteristic
1374C4⋊C4C2×D4×C1911yescharacteristic
1375C4⋊C4C2×D4×C1911yescharacteristic
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⋊C4C24×C1911yescharacteristic
1387C4⋊C4C24×C1911yescharacteristic
1388C4⋊C4C24×C1911yescharacteristic
1389C4⋊C4C24×C1911yescharacteristic
1390C4⋊C4C24×C1911yescharacteristic
1391C4⋊C4C24×C1911yescharacteristic
1392C4⋊C4C24×C1911yescharacteristic
1393C4⋊C4C24×C1911yescharacteristic
1394C4⋊C4C24×C1911yescharacteristic
1395C4⋊C4C24×C1911yescharacteristic
1396C22⋊C4—21no—
1397C22⋊C4—21no—
1398C22⋊C4—21no—
1399C22⋊C4—21no—
1400C22⋊C4—21no—
1401C22⋊C4—21no—
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⋊C4C2×D4×C1911yescharacteristic
1417C22⋊C4C2×D4×C1911yescharacteristic
1418C22⋊C4C2×D4×C1911yescharacteristic
1419C22⋊C4C2×D4×C1911yescharacteristic
1420C42—21no—
1421C42—21no—
1422C42—21no—
1423C42—21no—
1424C42—21no—
1425C42—21no—
1426C42—21no—
1427C42—21no—
1428C42—21no—
1429C42—21no—
1430C42—21no—
1431C42—21no—
1432C42—21no—
1433C42—21no—
1434C42—21no—
1435C42—21no—
1436C42C2×D4×C1911yescharacteristic
1437C42C2×D4×C1911yescharacteristic
1438C42C24×C1911yescharacteristic
1439C42C24×C1911yescharacteristic
1440C42C24×C1911yescharacteristic
1441C42C24×C1911yescharacteristic
1442C42C24×C1911yescharacteristic
1443C42C24×C1911yescharacteristic
1444C23—21no—
1445C23—21no—
1446C23C22×D4×C1911yescharacteristic
1447Q8—21no—
1448Q8—21no—
1449Q8—21no—
1450Q8—21no—
1451Q8—21no—
1452Q8—21no—
1453Q8—21no—
1454Q8—41no—
1455Q8—41no—
1456Q8—41no—
1457Q8—41no—
1458Q8—81no—
1459Q8—81no—
1460Q8—81no—
1461Q8—81no—
1462Q8—81no—
1463Q8—81no—
1464Q8—81no—
1465Q8C19×2−1+412yes—
1466D4—24no—
1467D4—21no—
1468D4—21no—
1469D4—21no—
1470D4—81no—
1471D4C19×2−1+412yes—
1472C2×C4—24no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—41no—
1490C2×C4—41no—
1491C2×C4—42no—
1492C2×C4—81no—
1493C2×C4—81no—
1494C2×C4—81no—
1495C2×C4—81no—
1496C2×C4—81no—
1497C2×C4—81no—
1498C2×C4—81no—
1499C2×C4—81no—
1500C2×C4—81no—
1501C2×C4—81no—
1502C2×C4C22×D4×C1911yescharacteristic
1503C2×C4C22×D4×C1911yescharacteristic
1504C2×C4C22×D4×C1911yescharacteristic
1505C2×C4C22×D4×C1911yescharacteristic
1506C2×C4C22×D4×C1911yescharacteristic
1507C2×C4C22×D4×C1911yescharacteristic
1508C2×C4C22×D4×C1911yescharacteristic
1509C2×C4C22×D4×C1911yescharacteristic
1510C2×C4C22×D4×C1911yescharacteristic
1511C2×C4C22×D4×C1911yescharacteristic
1512C2×C4C22×D4×C1911yescharacteristic
1513C2×C4C22×D4×C1911yescharacteristic
1514C2×C4C22×D4×C1911yescharacteristic
1515C2×C4C25×C1911yescharacteristic
1516C8—21no—
1517C8—21no—
1518C8—21no—
1519C8—21no—
1520C8—21no—
1521C8—21no—
1522C8—21no—
1523C8—21no—
1524C22—21no—
1525C22—22no—
1526C22—21no—
1527C22—21no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22C23×D4×C1911yescharacteristic
1534C4—21no—
1535C4—22no—
1536C4—21no—
1537C4—21no—
1538C4—21no—
1539C4—21no—
1540C4—21no—
1541C4—21no—
1542C4—21no—
1543C4—21no—
1544C4—21no—
1545C4—21no—
1546C4—21no—
1547C4—21no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4C2×C19×2−1+411yescharacteristic
1562C4C2×C19×2−1+411yescharacteristic
1563C2—41no—
1564C2—42no—
1565C2—81no—
1566C2C19×#348611yescharacteristic
1567C2C19×#358411yescharacteristic
1568C2C19×#358611yescharacteristic
subgroupG/H
center, socleC22×C19C23×D4
commutator, Frattini, cosocleC2×C4C25×C19
prime radicalC19×#449C22
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×#3555C2semidirect
2. C19×#3504C2semidirect
3. C19×#3390C2semidirect
4. C19×#3389C2semidirect
5. C19×#3388C2semidirect
6. C19×#3388C2semidirect
7. C19×#3387C2semidirect
8. C19×#3385C2semidirect
9. C19×#3383C2semidirect
10. C19×#3381C2semidirect
11. C19×#3377C2semidirect
12. C19×#3377C2semidirect
13. C19×#3376C2semidirect
14. C19×#3376C2semidirect
15. C19×#3374C2semidirect
16. C19×#3372C2semidirect
17. C19×#3364C2semidirect
18. C19×#3360C2semidirect
19. C19×#3244C2semidirect
20. C19×#3243C2semidirect
21. C19×#3242C2semidirect
22. C19×#3242C2semidirect
23. C19×#3236C2semidirect
24. C19×#3232C2semidirect
27. C19×#3120C2semidirect
28. C19×#3120C2semidirect
30. C19×#3107C2semidirect
31. C19×#2985C2semidirect
659. #61862C19direct (N × H)
740. #3555C2×C19semidirect
741. #3504C2×C19semidirect
742. #3390C2×C19semidirect
743. #3389C2×C19semidirect
744. #3388C2×C19semidirect
745. #3388C2×C19semidirect
746. #3387C2×C19semidirect
747. #3385C2×C19semidirect
748. #3383C2×C19semidirect
749. #3381C2×C19semidirect
750. #3377C2×C19semidirect
751. #3377C2×C19semidirect
752. #3376C2×C19semidirect
753. #3376C2×C19semidirect
754. #3374C2×C19semidirect
755. #3372C2×C19semidirect
756. #3364C2×C19semidirect
757. #3360C2×C19semidirect
758. #3244C2×C19semidirect
759. #3243C2×C19semidirect
760. #3242C2×C19semidirect
761. #3242C2×C19semidirect
762. #3236C2×C19semidirect
763. #3232C2×C19semidirect
766. #3120C2×C19semidirect
767. #3120C2×C19semidirect
769. #3107C2×C19semidirect
770. #2985C2×C19semidirect
1262. C19#61862direct (N × H)

Maximal subgroups

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

subgroupindex
C19×#35552
C19×#35042
C19×#33902
C19×#33892
C19×#33882
C19×#33872
C19×#33852
C19×#33832
C19×#33812
C19×#33772
C19×#33762
C19×#33742
C19×#33722
C19×#33642
C19×#33602
C19×#32442
C19×#32432
C19×#32422
C19×#32362
C19×#32322
C19×#31252
C19×#31242
C19×#31202
C19×#31112
C19×#31072
C19×#29852
#6186219