Finite Group Databasebeta

← C19×#62214 #18068173

Subgroups — C19×#62214 #18068173

Order 4864.

1642 conjugacy classes of subgroups.

The subgroup lattice has 1602 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C19×#3563C211yesmaximal, characteristic, complemented
2C19×#3516C211yesmaximal, characteristic
3C19×#3390C211yesmaximal, characteristic, complemented
4C19×#3383C211yesmaximal, characteristic, complemented
5C19×#3377C211yesmaximal, characteristic, complemented
6C19×#3364C211yesmaximal, characteristic, complemented
7C19×#3352C211yesmaximal, characteristic, complemented
8C19×#3346C211yesmaximal, characteristic, complemented
9C19×#3344C211yesmaximal, characteristic, complemented
10C19×#3338C211yesmaximal, characteristic, complemented
11C19×#3337C211yesmaximal, characteristic, complemented
12C19×#3336C211yesmaximal, characteristic, complemented
13C19×#3327C211yesmaximal, characteristic, complemented
14C19×#3316C211yesmaximal, characteristic, complemented
15C19×#3312C211yesmaximal, characteristic, complemented
16C19×#3300C211yesmaximal, characteristic, complemented
17C19×#3300C211yesmaximal, characteristic, complemented
18C19×#3299C211yesmaximal, characteristic, complemented
19C19×#3261C211yesmaximal, characteristic, complemented
20C19×#3258C211yesmaximal, characteristic, complemented
21C19×#3248C211yesmaximal, characteristic, complemented
22C19×#3243C211yesmaximal, characteristic, complemented
23C19×#3242C211yesmaximal, characteristic, complemented
24C19×#3232C211yesmaximal, characteristic, complemented
25C19×#3127C211yesmaximal, characteristic, complemented
26C19×#3120C211yesmaximal, characteristic, complemented
27C19×#3104C211yesmaximal, characteristic, complemented
28C19×#3083C211yesmaximal, characteristic, complemented
29C19×#3082C211yesmaximal, characteristic, complemented
30C2×C19×#479C211yesmaximal, characteristic, complemented
31C19×#2994C211yesmaximal, characteristic, complemented
32C19×#564—21no—
33C19×#563—21no—
34C19×#557C2211yescharacteristic
35C19×#557C2211yescharacteristic
36C19×#557C2211yescharacteristic
37C19×#556—21no—
38C19×#556C2211yescharacteristic
39C19×#554—21no—
40C19×#554C2211yescharacteristic
41C19×#554C2211yescharacteristic
42C19×#554C2211yescharacteristic
43C19×#553—21no—
44C19×#553C2211yescharacteristic
45C19×#552—21no—
46C19×#552—21no—
47C19×#552—21no—
48C19×#552C2211yescharacteristic
49C19×#552C2211yescharacteristic
50C19×#552C2211yescharacteristic
51C19×#552C2211yescharacteristic
52C19×#552C2211yescharacteristic
53D4×Q8×C19C2211yescharacteristic
54C19×#548C2211yescharacteristic
55C19×#548C2211yescharacteristic
56C19×#544—21no—
57C19×#544C2211yescharacteristic
58C19×#544C2211yescharacteristic
59C19×#542—21no—
60C19×#542C2211yescharacteristic
61C19×#541—21no—
62C19×#541—21no—
63C19×#541—21no—
64C19×#541C2211yescharacteristic
65C19×#541C2211yescharacteristic
66C19×#541C2211yescharacteristic
67C19×#539—21no—
68C19×#533C2211yescharacteristic
69C19×#529—21no—
70C19×#529—21no—
71C19×#529C2211yescharacteristic
72C19×#529C2211yescharacteristic
73C2×C19×#125C2211yescharacteristic
74C19×#520C2211yescharacteristic
75C19×#519C2211yescharacteristic
76C2×C4×Q8×C19C2211yescharacteristic
77C19×#501C2211yescharacteristic
78C19×#501C2211yescharacteristic
79C19×#500C2211yescharacteristic
80C19×#499C2211yescharacteristic
81C19×#499C2211yescharacteristic
82C19×#499C2211yescharacteristic
83C19×#491C2211yescharacteristic
84C19×#489C2211yescharacteristic
85C19×#488C2211yescharacteristic
86C19×#488C2211yescharacteristic
87C19×#488C2211yescharacteristic
88C19×#487C2211yescharacteristic
89C19×#485C2211yescharacteristic
90C19×#485C2211yescharacteristic
91C19×#485C2211yescharacteristic
92C19×#485C2211yescharacteristic
93C19×#485C2211yescharacteristic
94C19×#484C2211yescharacteristic
95C19×#484C2211yescharacteristic
96C19×#484C2211yescharacteristic
97C19×#484C2211yescharacteristic
98C19×#484C2211yescharacteristic
99C19×#484C2211yescharacteristic
100C19×#483C2211yescharacteristic
101C19×#483C2211yescharacteristic
102C19×#483C2211yescharacteristic
103C19×#482C2211yescharacteristic
104C19×#481C2211yescharacteristic
105C19×#480C2211yescharacteristic
106C19×#480C2211yescharacteristic
107C19×#479C2211yescharacteristic
108C19×#479C2211yescharacteristic
109C19×#479C2211yescharacteristic
110C19×#479C2211yescharacteristic
111C19×#479C2211yescharacteristic
112C19×#479C2211yescharacteristic
113C19×#479C2211yescharacteristic
114C19×#479C2211yescharacteristic
115C19×#479C2211yescharacteristic
116C19×#479C2211yescharacteristic
117C19×#479C2211yescharacteristic
118C19×#479C2211yescharacteristic
119C19×#479C2211yescharacteristic
120C19×#479C2211yescharacteristic
121C19×#479C2211yescharacteristic
122C19×#479C2211yescharacteristic
123C19×#479C2211yescharacteristic
124C19×#478C2211yescharacteristic
125C19×#478C2211yescharacteristic
126C19×#478C2211yescharacteristic
127C19×#477C2211yescharacteristic
128C19×#477C2211yescharacteristic
129C19×#477C2211yescharacteristic
130C19×#477C2211yescharacteristic
131C19×#477C2211yescharacteristic
132C19×#475C2211yescharacteristic
133C19×#475C2211yescharacteristic
134C19×#475C2211yescharacteristic
135C19×#474C2211yescharacteristic
136C19×#474C2211yescharacteristic
137C19×#470C2211yescharacteristic
138C19×#470C2211yescharacteristic
139C19×#470C2211yescharacteristic
140C19×#468C2211yescharacteristic
141C19×#467C2211yescharacteristic
142C19×#467C2211yescharacteristic
143C19×#467C2211yescharacteristic
144C19×#467C2211yescharacteristic
145C19×#467C2211yescharacteristic
146C19×#465C2211yescharacteristic
147C19×#465C2211yescharacteristic
148C19×#465C2211yescharacteristic
149C19×#464C2211yescharacteristic
150C19×#464C2211yescharacteristic
151C19×#464C2211yescharacteristic
152C19×#464C2211yescharacteristic
153C19×#462C2211yescharacteristic
154C19×#462C2211yescharacteristic
155C19×#462C2211yescharacteristic
156C19×#462C2211yescharacteristic
157C19×#462C2211yescharacteristic
158C19×#461C2211yescharacteristic
159C19×#452C2211yescharacteristic
160C19×#452C2211yescharacteristic
161C19×#451C2211yescharacteristic
162C19×#451C2211yescharacteristic
163C19×#451C2211yescharacteristic
164C19×#451C2211yescharacteristic
165C19×#446C2211yescharacteristic
166C8×Q8×C19C2211yescharacteristic
167C19×#441C2211yescharacteristic
168C19×#441C2211yescharacteristic
169C19×#441C2211yescharacteristic
170C19×#440C2211yescharacteristic
171C4×Q16×C19C2211yescharacteristic
172C4×Q16×C19C2211yescharacteristic
173C4×Q16×C19C2211yescharacteristic
174C4×Q16×C19C2211yescharacteristic
175C4×Q16×C19C2211yescharacteristic
176C4×Q16×C19C2211yescharacteristic
177C4×Q16×C19C2211yescharacteristic
178C4×SD16×C19C2211yescharacteristic
179C19×#436C2211yescharacteristic
180C19×#435C2211yescharacteristic
181C19×#435C2211yescharacteristic
182C8×D4×C19C2211yescharacteristic
183C8×D4×C19C2211yescharacteristic
184C8×D4×C19C2211yescharacteristic
185C19×#433C2211yescharacteristic
186C19×#433C2211yescharacteristic
187C19×#431C2211yescharacteristic
188C19×#428C2211yescharacteristic
189C19×#428C2211yescharacteristic
190C19×#427C2211yescharacteristic
191C2×C19×#107C2211yescharacteristic
192C2×C19×#107C2211yescharacteristic
193C2×C19×#106C2211yescharacteristic
194C19×#424C2211yescharacteristic
195C19×#424C2211yescharacteristic
196C2×C19×C4⋊C8C2211yescharacteristic
197C19×#419C2211yescharacteristic
198C19×#417C2211yescharacteristic
199C19×#416C2211yescharacteristic
200C2×C19×#103C2211yescharacteristic
201C2×C19×#103C2211yescharacteristic
202C2×C19×#103C2211yescharacteristic
203C2×#41×C19C2311yescharacteristic
204C22×Q8×C19C2311yescharacteristic
205C22×Q8×C19C2311yescharacteristic
206C2×Q16×C19C2311yescharacteristic
207C2×Q16×C19C2311yescharacteristic
208C2×Q16×C19C2311yescharacteristic
209C2×Q16×C19C2311yescharacteristic
210C2×Q16×C19C2311yescharacteristic
211C2×Q16×C19C2311yescharacteristic
212C2×SD16×C19C2311yescharacteristic
213C2×SD16×C19C2311yescharacteristic
214C2×M16×C19C2311yescharacteristic
215C2×M16×C19C2311yescharacteristic
216C22×C8×C19C2311yescharacteristic
217C22×C8×C19C2311yescharacteristic
218C22×C8×C19C2311yescharacteristic
219C22×C8×C19C2311yescharacteristic
220C19×C4⋊Q8—21no—
221C19×C4⋊Q8—21no—
222C19×C4⋊Q8—21no—
223C19×C4⋊Q8—21no—
224C19×C4⋊Q8—21no—
225C19×C4⋊Q8—21no—
226C19×C4⋊Q8C2311yescharacteristic
227C19×C4⋊Q8C2311yescharacteristic
228C19×C4⋊Q8C2311yescharacteristic
229C19×C4⋊Q8C2311yescharacteristic
230C19×C4⋊Q8C2311yescharacteristic
231C19×C4⋊Q8C2311yescharacteristic
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×#126—21no—
241C19×#126—21no—
242C19×#126—21no—
243C19×#126—21no—
244C19×#126—21no—
245C19×#126—21no—
246C19×#126—21no—
247C19×#126—21no—
248C19×#126D411yescharacteristic
249C19×#126D411yescharacteristic
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×#125—21no—
273C19×#125—21no—
274C19×#125—21no—
275C19×#125D411yescharacteristic
276C19×#125C2311yescharacteristic
277C19×#125C2311yescharacteristic
278C19×#125C2311yescharacteristic
279C19×#125C2311yescharacteristic
280C19×#125C2311yescharacteristic
281C19×#125C2311yescharacteristic
282C19×#125C2311yescharacteristic
283C19×#125C2311yescharacteristic
284C19×#124—21no—
285C19×#124—21no—
286C19×#124—21no—
287C19×#124D411yescharacteristic
288C19×#124C2311yescharacteristic
289C19×#124C2311yescharacteristic
290C19×#123—21no—
291C19×#123—21no—
292C19×#123—21no—
293C19×#123—21no—
294C19×#123—21no—
295C19×#123—21no—
296C19×#123—21no—
297C19×#123—21no—
298C19×#123D411yescharacteristic
299C19×#123D411yescharacteristic
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⋊Q8D411yescharacteristic
318C19×C22⋊Q8C2311yescharacteristic
319C19×C22⋊Q8C2311yescharacteristic
320C19×C22⋊Q8C2311yescharacteristic
321C19×C22⋊Q8C2311yescharacteristic
322C19×C22⋊Q8C2311yescharacteristic
323C19×C22⋊Q8C2311yescharacteristic
324C19×C22⋊Q8C2311yescharacteristic
325C19×C22⋊Q8C2311yescharacteristic
326C19×C22⋊Q8C2311yescharacteristic
327C19×C22⋊Q8C2311yescharacteristic
328C19×#121—21no—
329C19×#121—21no—
330C19×#121—21no—
331C19×#121D411yescharacteristic
332C19×#121C2311yescharacteristic
333C19×#121C2311yescharacteristic
334C4×Q8×C19—21no—
335C4×Q8×C19—21no—
336C4×Q8×C19—21no—
337C4×Q8×C19—21no—
338C4×Q8×C19—21no—
339C4×Q8×C19—21no—
340C4×Q8×C19—21no—
341C4×Q8×C19—21no—
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×Q8×C19C2311yescharacteristic
355C4×Q8×C19C2311yescharacteristic
356C4×Q8×C19C2311yescharacteristic
357C4×D4×C19—21no—
358C4×D4×C19—21no—
359C4×D4×C19—21no—
360C4×D4×C19—21no—
361C4×D4×C19—21no—
362C4×D4×C19—21no—
363C4×D4×C19—21no—
364C4×D4×C19—21no—
365C4×D4×C19—21no—
366C4×D4×C19—21no—
367C4×D4×C19C2311yescharacteristic
368C4×D4×C19C2311yescharacteristic
369C4×D4×C19C2311yescharacteristic
370C4×D4×C19C2311yescharacteristic
371C4×D4×C19C2311yescharacteristic
372C19×#117—21no—
373C19×#117—21no—
374C19×#117—21no—
375C19×#117—21no—
376C19×#117—21no—
377C19×#117—21no—
378C19×#117—21no—
379C19×#117—21no—
380C19×#117—21no—
381C19×#117—21no—
382C19×#117—21no—
383C19×#117C2311yescharacteristic
384C19×#117C2311yescharacteristic
385C19×#117C2311yescharacteristic
386C19×#117C2311yescharacteristic
387C19×#117C2311yescharacteristic
388C2×C4⋊C4×C19—21no—
389C2×C4⋊C4×C19—21no—
390C2×C4⋊C4×C19—21no—
391C2×C4⋊C4×C19—21no—
392C2×C4⋊C4×C19C2311yescharacteristic
393C2×C4⋊C4×C19C2311yescharacteristic
394C2×C4⋊C4×C19C2311yescharacteristic
395C2×C4⋊C4×C19C2311yescharacteristic
396C2×C4⋊C4×C19C2311yescharacteristic
397C2×C4⋊C4×C19C2311yescharacteristic
398C2×C42×C19—21no—
399C2×C42×C19C2311yescharacteristic
400C19×#107C2311yescharacteristic
401C19×#107C2311yescharacteristic
402C19×#107C2311yescharacteristic
403C19×#107C2311yescharacteristic
404C19×#107C2311yescharacteristic
405C19×#107C2311yescharacteristic
406C19×#107C2311yescharacteristic
407C19×#107C2311yescharacteristic
408C19×#107C2311yescharacteristic
409C19×#107C2311yescharacteristic
410C19×#107C2311yescharacteristic
411C19×#107C2311yescharacteristic
412C19×#107C2311yescharacteristic
413C19×#107C2311yescharacteristic
414C19×#106C2311yescharacteristic
415C19×#106C2311yescharacteristic
416C19×#106C2311yescharacteristic
417C19×#106C2311yescharacteristic
418C19×#106C2311yescharacteristic
419C19×#106C2311yescharacteristic
420C19×#106C2311yescharacteristic
421C19×#106C2311yescharacteristic
422C19×#106C2311yescharacteristic
423C19×#106C2311yescharacteristic
424C19×C4⋊C8C2311yescharacteristic
425C19×C4⋊C8C2311yescharacteristic
426C19×C4⋊C8C2311yescharacteristic
427C19×C4⋊C8C2311yescharacteristic
428C19×C4⋊C8C2311yescharacteristic
429C19×C4⋊C8C2311yescharacteristic
430C19×C4⋊C8C2311yescharacteristic
431C19×C4⋊C8C2311yescharacteristic
432C19×C4⋊C8C2311yescharacteristic
433C19×C4⋊C8C2311yescharacteristic
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×#103C2311yescharacteristic
453C19×#103C2311yescharacteristic
454C19×#103C2311yescharacteristic
455C19×#103C2311yescharacteristic
456C19×#103C2311yescharacteristic
457C19×#103C2311yescharacteristic
458C19×#103C2311yescharacteristic
459C19×#103C2311yescharacteristic
460C19×#102C2311yescharacteristic
461C19×#102C2311yescharacteristic
462C19×#102C2311yescharacteristic
463C19×#102C2311yescharacteristic
464C19×#102C2311yescharacteristic
465C19×#102C2311yescharacteristic
466C19×C22⋊C8C2311yescharacteristic
467C19×C22⋊C8C2311yescharacteristic
468C19×C22⋊C8C2311yescharacteristic
469C19×C22⋊C8C2311yescharacteristic
470C19×C22⋊C8C2311yescharacteristic
471C19×C22⋊C8C2311yescharacteristic
472C19×#97C2311yescharacteristic
473C19×#97C2311yescharacteristic
474C4×C8×C19C2311yescharacteristic
475C4×C8×C19C2311yescharacteristic
476C4×C8×C19C2311yescharacteristic
477C4×C8×C19C2311yescharacteristic
478#41×C19—22no—
479#41×C19—41no—
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—22no—
487C2×Q8×C19—22no—
488C2×Q8×C19—41no—
489C2×Q8×C19—41no—
490C2×Q8×C19C2×D411yescharacteristic
491C2×Q8×C19C2411yescharacteristic
492C2×Q8×C19C2411yescharacteristic
493C2×Q8×C19C2411yescharacteristic
494C2×Q8×C19C2411yescharacteristic
495C2×Q8×C19C2411yescharacteristic
496C2×D4×C19—21no—
497C2×D4×C19—21no—
498C2×D4×C19—21no—
499C2×D4×C19C2×D411yescharacteristic
500C2×D4×C19C2×D411yescharacteristic
501C2×D4×C19C2×D411yescharacteristic
502C2×D4×C19C2411yescharacteristic
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×C19C2×D411yescharacteristic
515C22×C4×C19C2×D411yescharacteristic
516C22×C4×C19C2411yescharacteristic
517C22×C4×C19C2411yescharacteristic
518C22×C4×C19C2411yescharacteristic
519Q16×C19—22no—
520Q16×C19—22no—
521Q16×C19—41no—
522Q16×C19—41no—
523Q16×C19—41no—
524Q16×C19—41no—
525SD16×C19—41no—
526SD16×C19—41no—
527M16×C19—41no—
528M16×C19—41no—
529C2×C8×C19—41no—
530C2×C8×C19—41no—
531C2×C8×C19—41no—
532C2×C8×C19—41no—
533C2×C8×C19C2411yescharacteristic
534C2×C8×C19C2411yescharacteristic
535C2×C8×C19C2411yescharacteristic
536C2×C8×C19C2411yescharacteristic
537C2×C8×C19C2411yescharacteristic
538C2×C8×C19C2411yescharacteristic
539C2×C8×C19C2411yescharacteristic
540C2×C8×C19C2411yescharacteristic
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×C19—21no—
586C4⋊C4×C19—21no—
587C4⋊C4×C19—21no—
588C4⋊C4×C19—21no—
589C4⋊C4×C19—21no—
590C4⋊C4×C19—21no—
591C4⋊C4×C19—21no—
592C4⋊C4×C19—21no—
593C4⋊C4×C19—21no—
594C4⋊C4×C19—21no—
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×C19C2×D411yescharacteristic
602C4⋊C4×C19C2×D411yescharacteristic
603C4⋊C4×C19C2×D411yescharacteristic
604C4⋊C4×C19C2×D411yescharacteristic
605C4⋊C4×C19C2411yescharacteristic
606C4⋊C4×C19C2411yescharacteristic
607C4⋊C4×C19C2411yescharacteristic
608C4⋊C4×C19C2411yescharacteristic
609C4⋊C4×C19C2411yescharacteristic
610C4⋊C4×C19C2411yescharacteristic
611C4⋊C4×C19C2411yescharacteristic
612C4⋊C4×C19C2411yescharacteristic
613C4⋊C4×C19C2411yescharacteristic
614C4⋊C4×C19C2411yescharacteristic
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×C19—21no—
635C22⋊C4×C19—21no—
636C22⋊C4×C19C2×D411yescharacteristic
637C22⋊C4×C19C2×D411yescharacteristic
638C22⋊C4×C19C2×D411yescharacteristic
639C22⋊C4×C19C2×D411yescharacteristic
640C22⋊C4×C19C2×D411yescharacteristic
641C22⋊C4×C19C2×D411yescharacteristic
642C22⋊C4×C19C2×D411yescharacteristic
643C22⋊C4×C19C2×D411yescharacteristic
644C22⋊C4×C19C2×D411yescharacteristic
645C22⋊C4×C19C2×D411yescharacteristic
646C42×C19—21no—
647C42×C19—21no—
648C42×C19—21no—
649C42×C19—21no—
650C42×C19—21no—
651C42×C19—21no—
652C42×C19—21no—
653C42×C19—21no—
654C42×C19—21no—
655C42×C19—21no—
656C42×C19—21no—
657C42×C19—21no—
658C42×C19—21no—
659C42×C19—21no—
660C42×C19—21no—
661C42×C19—21no—
662C42×C19—21no—
663C42×C19C2×D411yescharacteristic
664C42×C19C2×D411yescharacteristic
665C42×C19C2411yescharacteristic
666C42×C19C2411yescharacteristic
667C42×C19C2411yescharacteristic
668C42×C19C2411yescharacteristic
669#62214C1911yesmaximal, characteristic, direct product factor, Sylow
670C23×C19—21no—
671C23×C19C22×D411yescharacteristic
672C23×C19C22×D411yescharacteristic
673C23×C19C22×D411yescharacteristic
674Q8×C19—21no—
675Q8×C19—21no—
676Q8×C19—21no—
677Q8×C19—21no—
678Q8×C19—21no—
679Q8×C19—21no—
680Q8×C19—21no—
681Q8×C19—21no—
682Q8×C19—21no—
683Q8×C19—41no—
684Q8×C19—42no—
685Q8×C19—42no—
686Q8×C19—81no—
687Q8×C19—81no—
688Q8×C19—81no—
689Q8×C19—81no—
690Q8×C192−1+412yes—
691D4×C19—22no—
692D4×C19—22no—
693D4×C19—21no—
694D4×C19—21no—
695D4×C19—41no—
696D4×C19—42no—
697D4×C19—42no—
698D4×C19—81no—
699C2×C4×C19—22no—
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—21no—
708C2×C4×C19—21no—
709C2×C4×C19—21no—
710C2×C4×C19—21no—
711C2×C4×C19—21no—
712C2×C4×C19—21no—
713C2×C4×C19—21no—
714C2×C4×C19—21no—
715C2×C4×C19—21no—
716C2×C4×C19—21no—
717C2×C4×C19—21no—
718C2×C4×C19—21no—
719C2×C4×C19—21no—
720C2×C4×C19—21no—
721C2×C4×C19—41no—
722C2×C4×C19—42no—
723C2×C4×C19—42no—
724C2×C4×C19—42no—
725C2×C4×C19—42no—
726C2×C4×C19—81no—
727C2×C4×C19—81no—
728C2×C4×C19—81no—
729C2×C4×C19—81no—
730C2×C4×C19—81no—
731C2×C4×C19—81no—
732C2×C4×C19—81no—
733C2×C4×C19C22×D411yescharacteristic
734C2×C4×C19C22×D411yescharacteristic
735C2×C4×C19C22×D411yescharacteristic
736C2×C4×C19C22×D411yescharacteristic
737C2×C4×C19C22×D411yescharacteristic
738C2×C4×C19C22×D411yescharacteristic
739C2×C4×C19C22×D411yescharacteristic
740C2×C4×C19C22×D411yescharacteristic
741C2×C4×C19C22×D411yescharacteristic
742C2×C4×C19C22×D411yescharacteristic
743C2×C4×C19C22×D411yescharacteristic
744C2×C4×C19C2511yescharacteristic
745C8×C19—21no—
746C8×C19—21no—
747C8×C19—21no—
748C8×C19—21no—
749C8×C19—21no—
750C8×C19—21no—
751C8×C19—21no—
752C8×C19—21no—
753#3563C2×C1911yescharacteristic, complemented
754#3516C2×C1911yescharacteristic
755#3390C2×C1911yescharacteristic, complemented
756#3383C2×C1911yescharacteristic, complemented
757#3377C2×C1911yescharacteristic, complemented
758#3364C2×C1911yescharacteristic, complemented
759#3352C2×C1911yescharacteristic, complemented
760#3346C2×C1911yescharacteristic, complemented
761#3344C2×C1911yescharacteristic, complemented
762#3338C2×C1911yescharacteristic, complemented
763#3337C2×C1911yescharacteristic, complemented
764#3336C2×C1911yescharacteristic, complemented
765#3327C2×C1911yescharacteristic, complemented
766#3316C2×C1911yescharacteristic, complemented
767#3312C2×C1911yescharacteristic, complemented
768#3300C2×C1911yescharacteristic, complemented
769#3300C2×C1911yescharacteristic, complemented
770#3299C2×C1911yescharacteristic, complemented
771#3261C2×C1911yescharacteristic, complemented
772#3258C2×C1911yescharacteristic, complemented
773#3248C2×C1911yescharacteristic, complemented
774#3243C2×C1911yescharacteristic, complemented
775#3242C2×C1911yescharacteristic, complemented
776#3232C2×C1911yescharacteristic, complemented
777#3127C2×C1911yescharacteristic, complemented
778#3120C2×C1911yescharacteristic, complemented
779#3104C2×C1911yescharacteristic, complemented
780#3083C2×C1911yescharacteristic, complemented
781#3082C2×C1911yescharacteristic, complemented
782C2×#479C2×C1911yescharacteristic, complemented
783#2994C2×C1911yescharacteristic, complemented
784C22×C19—21no—
785C22×C19—21no—
786C22×C19—21no—
787C22×C19—21no—
788C22×C19—21no—
789C22×C19—21no—
790C22×C19—21no—
791C22×C19—21no—
792C22×C19—41no—
793C22×C19—41no—
794C22×C19—41no—
795C22×C19#57812yes—
796C22×C19C23×D411yescharacteristic
797C4×C19—21no—
798C4×C19—21no—
799C4×C19—21no—
800C4×C19—21no—
801C4×C19—21no—
802C4×C19—21no—
803C4×C19—21no—
804C4×C19—22no—
805C4×C19—21no—
806C4×C19—21no—
807C4×C19—21no—
808C4×C19—21no—
809C4×C19—41no—
810C4×C19—41no—
811C4×C19—41no—
812C4×C19—41no—
813C4×C19—41no—
814C4×C19—41no—
815C4×C19—41no—
816C4×C19—41no—
817C4×C19—41no—
818C4×C19—41no—
819C4×C19—41no—
820C4×C19—41no—
821C4×C19—41no—
822C4×C19—41no—
823C4×C19C2×2−1+411yescharacteristic
824C4×C19#58511yescharacteristic
825#564—21no—
826#563—21no—
827#557C22×C1911yescharacteristic
828#557C22×C1911yescharacteristic
829#557C22×C1911yescharacteristic
830#556—21no—
831#556C22×C1911yescharacteristic
832#554—21no—
833#554C22×C1911yescharacteristic
834#554C22×C1911yescharacteristic
835#554C22×C1911yescharacteristic
836#553—21no—
837#553C22×C1911yescharacteristic
838#552—21no—
839#552—21no—
840#552—21no—
841#552C22×C1911yescharacteristic
842#552C22×C1911yescharacteristic
843#552C22×C1911yescharacteristic
844#552C22×C1911yescharacteristic
845#552C22×C1911yescharacteristic
846D4×Q8C22×C1911yescharacteristic
847#548C22×C1911yescharacteristic
848#548C22×C1911yescharacteristic
849#544—21no—
850#544C22×C1911yescharacteristic
851#544C22×C1911yescharacteristic
852#542—21no—
853#542C22×C1911yescharacteristic
854#541—21no—
855#541—21no—
856#541—21no—
857#541C22×C1911yescharacteristic
858#541C22×C1911yescharacteristic
859#541C22×C1911yescharacteristic
860#539—21no—
861#533C22×C1911yescharacteristic
862#529—21no—
863#529—21no—
864#529C22×C1911yescharacteristic
865#529C22×C1911yescharacteristic
866C2×#125C22×C1911yescharacteristic
867#520C22×C1911yescharacteristic
868#519C22×C1911yescharacteristic
869C2×C4×Q8C22×C1911yescharacteristic
870#501C22×C1911yescharacteristic
871#501C22×C1911yescharacteristic
872#500C22×C1911yescharacteristic
873#499C22×C1911yescharacteristic
874#499C22×C1911yescharacteristic
875#499C22×C1911yescharacteristic
876#491C22×C1911yescharacteristic
877#489C22×C1911yescharacteristic
878#488C22×C1911yescharacteristic
879#488C22×C1911yescharacteristic
880#488C22×C1911yescharacteristic
881#487C22×C1911yescharacteristic
882#485C22×C1911yescharacteristic
883#485C22×C1911yescharacteristic
884#485C22×C1911yescharacteristic
885#485C22×C1911yescharacteristic
886#485C22×C1911yescharacteristic
887#484C22×C1911yescharacteristic
888#484C22×C1911yescharacteristic
889#484C22×C1911yescharacteristic
890#484C22×C1911yescharacteristic
891#484C22×C1911yescharacteristic
892#484C22×C1911yescharacteristic
893#483C22×C1911yescharacteristic
894#483C22×C1911yescharacteristic
895#483C22×C1911yescharacteristic
896#482C22×C1911yescharacteristic
897#481C22×C1911yescharacteristic
898#480C22×C1911yescharacteristic
899#480C22×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#479C22×C1911yescharacteristic
911#479C22×C1911yescharacteristic
912#479C22×C1911yescharacteristic
913#479C22×C1911yescharacteristic
914#479C22×C1911yescharacteristic
915#479C22×C1911yescharacteristic
916#479C22×C1911yescharacteristic
917#478C22×C1911yescharacteristic
918#478C22×C1911yescharacteristic
919#478C22×C1911yescharacteristic
920#477C22×C1911yescharacteristic
921#477C22×C1911yescharacteristic
922#477C22×C1911yescharacteristic
923#477C22×C1911yescharacteristic
924#477C22×C1911yescharacteristic
925#475C22×C1911yescharacteristic
926#475C22×C1911yescharacteristic
927#475C22×C1911yescharacteristic
928#474C22×C1911yescharacteristic
929#474C22×C1911yescharacteristic
930#470C22×C1911yescharacteristic
931#470C22×C1911yescharacteristic
932#470C22×C1911yescharacteristic
933#468C22×C1911yescharacteristic
934#467C22×C1911yescharacteristic
935#467C22×C1911yescharacteristic
936#467C22×C1911yescharacteristic
937#467C22×C1911yescharacteristic
938#467C22×C1911yescharacteristic
939#465C22×C1911yescharacteristic
940#465C22×C1911yescharacteristic
941#465C22×C1911yescharacteristic
942#464C22×C1911yescharacteristic
943#464C22×C1911yescharacteristic
944#464C22×C1911yescharacteristic
945#464C22×C1911yescharacteristic
946#462C22×C1911yescharacteristic
947#462C22×C1911yescharacteristic
948#462C22×C1911yescharacteristic
949#462C22×C1911yescharacteristic
950#462C22×C1911yescharacteristic
951#461C22×C1911yescharacteristic
952#452C22×C1911yescharacteristic
953#452C22×C1911yescharacteristic
954#451C22×C1911yescharacteristic
955#451C22×C1911yescharacteristic
956#451C22×C1911yescharacteristic
957#451C22×C1911yescharacteristic
958#446C22×C1911yescharacteristic
959C8×Q8C22×C1911yescharacteristic
960#441C22×C1911yescharacteristic
961#441C22×C1911yescharacteristic
962#441C22×C1911yescharacteristic
963#440C22×C1911yescharacteristic
964C4×Q16C22×C1911yescharacteristic
965C4×Q16C22×C1911yescharacteristic
966C4×Q16C22×C1911yescharacteristic
967C4×Q16C22×C1911yescharacteristic
968C4×Q16C22×C1911yescharacteristic
969C4×Q16C22×C1911yescharacteristic
970C4×Q16C22×C1911yescharacteristic
971C4×SD16C22×C1911yescharacteristic
972#436C22×C1911yescharacteristic
973#435C22×C1911yescharacteristic
974#435C22×C1911yescharacteristic
975C8×D4C22×C1911yescharacteristic
976C8×D4C22×C1911yescharacteristic
977C8×D4C22×C1911yescharacteristic
978#433C22×C1911yescharacteristic
979#433C22×C1911yescharacteristic
980#431C22×C1911yescharacteristic
981#428C22×C1911yescharacteristic
982#428C22×C1911yescharacteristic
983#427C22×C1911yescharacteristic
984C2×#107C22×C1911yescharacteristic
985C2×#107C22×C1911yescharacteristic
986C2×#106C22×C1911yescharacteristic
987#424C22×C1911yescharacteristic
988#424C22×C1911yescharacteristic
989C2×C4⋊C8C22×C1911yescharacteristic
990#419C22×C1911yescharacteristic
991#417C22×C1911yescharacteristic
992#416C22×C1911yescharacteristic
993C2×#103C22×C1911yescharacteristic
994C2×#103C22×C1911yescharacteristic
995C2×#103C22×C1911yescharacteristic
996C2×C19—22no—
997C2×C19—41no—
998C2×C19—41no—
999C2×C19—81no—
1000C2×C19#348911yescharacteristic
1001C2×C19C2×#57811yescharacteristic
1002C2×C19#358411yescharacteristic
1003C2×#41C23×C1911yescharacteristic
1004C22×Q8C23×C1911yescharacteristic
1005C22×Q8C23×C1911yescharacteristic
1006C2×Q16C23×C1911yescharacteristic
1007C2×Q16C23×C1911yescharacteristic
1008C2×Q16C23×C1911yescharacteristic
1009C2×Q16C23×C1911yescharacteristic
1010C2×Q16C23×C1911yescharacteristic
1011C2×Q16C23×C1911yescharacteristic
1012C2×SD16C23×C1911yescharacteristic
1013C2×SD16C23×C1911yescharacteristic
1014C2×M16C23×C1911yescharacteristic
1015C2×M16C23×C1911yescharacteristic
1016C22×C8C23×C1911yescharacteristic
1017C22×C8C23×C1911yescharacteristic
1018C22×C8C23×C1911yescharacteristic
1019C22×C8C23×C1911yescharacteristic
1020C4⋊Q8—21no—
1021C4⋊Q8—21no—
1022C4⋊Q8—21no—
1023C4⋊Q8—21no—
1024C4⋊Q8—21no—
1025C4⋊Q8—21no—
1026C4⋊Q8C23×C1911yescharacteristic
1027C4⋊Q8C23×C1911yescharacteristic
1028C4⋊Q8C23×C1911yescharacteristic
1029C4⋊Q8C23×C1911yescharacteristic
1030C4⋊Q8C23×C1911yescharacteristic
1031C4⋊Q8C23×C1911yescharacteristic
1032#126—21no—
1033#126—21no—
1034#126—21no—
1035#126—21no—
1036#126—21no—
1037#126—21no—
1038#126—21no—
1039#126—21no—
1040#126—21no—
1041#126—21no—
1042#126—21no—
1043#126—21no—
1044#126—21no—
1045#126—21no—
1046#126—21no—
1047#126—21no—
1048#126D4×C1911yescharacteristic
1049#126D4×C1911yescharacteristic
1050#125—21no—
1051#125—21no—
1052#125—21no—
1053#125—21no—
1054#125—21no—
1055#125—21no—
1056#125—21no—
1057#125—21no—
1058#125—21no—
1059#125—21no—
1060#125—21no—
1061#125—21no—
1062#125—21no—
1063#125—21no—
1064#125—21no—
1065#125—21no—
1066#125—21no—
1067#125—21no—
1068#125—21no—
1069#125—21no—
1070#125—21no—
1071#125—21no—
1072#125—21no—
1073#125—21no—
1074#125—21no—
1075#125D4×C1911yescharacteristic
1076#125C23×C1911yescharacteristic
1077#125C23×C1911yescharacteristic
1078#125C23×C1911yescharacteristic
1079#125C23×C1911yescharacteristic
1080#125C23×C1911yescharacteristic
1081#125C23×C1911yescharacteristic
1082#125C23×C1911yescharacteristic
1083#125C23×C1911yescharacteristic
1084#124—21no—
1085#124—21no—
1086#124—21no—
1087#124D4×C1911yescharacteristic
1088#124C23×C1911yescharacteristic
1089#124C23×C1911yescharacteristic
1090#123—21no—
1091#123—21no—
1092#123—21no—
1093#123—21no—
1094#123—21no—
1095#123—21no—
1096#123—21no—
1097#123—21no—
1098#123D4×C1911yescharacteristic
1099#123D4×C1911yescharacteristic
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⋊Q8—21no—
1109C22⋊Q8—21no—
1110C22⋊Q8—21no—
1111C22⋊Q8—21no—
1112C22⋊Q8—21no—
1113C22⋊Q8—21no—
1114C22⋊Q8—21no—
1115C22⋊Q8—21no—
1116C22⋊Q8—21no—
1117C22⋊Q8D4×C1911yescharacteristic
1118C22⋊Q8C23×C1911yescharacteristic
1119C22⋊Q8C23×C1911yescharacteristic
1120C22⋊Q8C23×C1911yescharacteristic
1121C22⋊Q8C23×C1911yescharacteristic
1122C22⋊Q8C23×C1911yescharacteristic
1123C22⋊Q8C23×C1911yescharacteristic
1124C22⋊Q8C23×C1911yescharacteristic
1125C22⋊Q8C23×C1911yescharacteristic
1126C22⋊Q8C23×C1911yescharacteristic
1127C22⋊Q8C23×C1911yescharacteristic
1128#121—21no—
1129#121—21no—
1130#121—21no—
1131#121D4×C1911yescharacteristic
1132#121C23×C1911yescharacteristic
1133#121C23×C1911yescharacteristic
1134C4×Q8—21no—
1135C4×Q8—21no—
1136C4×Q8—21no—
1137C4×Q8—21no—
1138C4×Q8—21no—
1139C4×Q8—21no—
1140C4×Q8—21no—
1141C4×Q8—21no—
1142C4×Q8C23×C1911yescharacteristic
1143C4×Q8C23×C1911yescharacteristic
1144C4×Q8C23×C1911yescharacteristic
1145C4×Q8C23×C1911yescharacteristic
1146C4×Q8C23×C1911yescharacteristic
1147C4×Q8C23×C1911yescharacteristic
1148C4×Q8C23×C1911yescharacteristic
1149C4×Q8C23×C1911yescharacteristic
1150C4×Q8C23×C1911yescharacteristic
1151C4×Q8C23×C1911yescharacteristic
1152C4×Q8C23×C1911yescharacteristic
1153C4×Q8C23×C1911yescharacteristic
1154C4×Q8C23×C1911yescharacteristic
1155C4×Q8C23×C1911yescharacteristic
1156C4×Q8C23×C1911yescharacteristic
1157C4×D4—21no—
1158C4×D4—21no—
1159C4×D4—21no—
1160C4×D4—21no—
1161C4×D4—21no—
1162C4×D4—21no—
1163C4×D4—21no—
1164C4×D4—21no—
1165C4×D4—21no—
1166C4×D4—21no—
1167C4×D4C23×C1911yescharacteristic
1168C4×D4C23×C1911yescharacteristic
1169C4×D4C23×C1911yescharacteristic
1170C4×D4C23×C1911yescharacteristic
1171C4×D4C23×C1911yescharacteristic
1172#117—21no—
1173#117—21no—
1174#117—21no—
1175#117—21no—
1176#117—21no—
1177#117—21no—
1178#117—21no—
1179#117—21no—
1180#117—21no—
1181#117—21no—
1182#117—21no—
1183#117C23×C1911yescharacteristic
1184#117C23×C1911yescharacteristic
1185#117C23×C1911yescharacteristic
1186#117C23×C1911yescharacteristic
1187#117C23×C1911yescharacteristic
1188C2×C4⋊C4—21no—
1189C2×C4⋊C4—21no—
1190C2×C4⋊C4—21no—
1191C2×C4⋊C4—21no—
1192C2×C4⋊C4C23×C1911yescharacteristic
1193C2×C4⋊C4C23×C1911yescharacteristic
1194C2×C4⋊C4C23×C1911yescharacteristic
1195C2×C4⋊C4C23×C1911yescharacteristic
1196C2×C4⋊C4C23×C1911yescharacteristic
1197C2×C4⋊C4C23×C1911yescharacteristic
1198C2×C42—21no—
1199C2×C42C23×C1911yescharacteristic
1200#107C23×C1911yescharacteristic
1201#107C23×C1911yescharacteristic
1202#107C23×C1911yescharacteristic
1203#107C23×C1911yescharacteristic
1204#107C23×C1911yescharacteristic
1205#107C23×C1911yescharacteristic
1206#107C23×C1911yescharacteristic
1207#107C23×C1911yescharacteristic
1208#107C23×C1911yescharacteristic
1209#107C23×C1911yescharacteristic
1210#107C23×C1911yescharacteristic
1211#107C23×C1911yescharacteristic
1212#107C23×C1911yescharacteristic
1213#107C23×C1911yescharacteristic
1214#106C23×C1911yescharacteristic
1215#106C23×C1911yescharacteristic
1216#106C23×C1911yescharacteristic
1217#106C23×C1911yescharacteristic
1218#106C23×C1911yescharacteristic
1219#106C23×C1911yescharacteristic
1220#106C23×C1911yescharacteristic
1221#106C23×C1911yescharacteristic
1222#106C23×C1911yescharacteristic
1223#106C23×C1911yescharacteristic
1224C4⋊C8C23×C1911yescharacteristic
1225C4⋊C8C23×C1911yescharacteristic
1226C4⋊C8C23×C1911yescharacteristic
1227C4⋊C8C23×C1911yescharacteristic
1228C4⋊C8C23×C1911yescharacteristic
1229C4⋊C8C23×C1911yescharacteristic
1230C4⋊C8C23×C1911yescharacteristic
1231C4⋊C8C23×C1911yescharacteristic
1232C4⋊C8C23×C1911yescharacteristic
1233C4⋊C8C23×C1911yescharacteristic
1234#103C23×C1911yescharacteristic
1235#103C23×C1911yescharacteristic
1236#103C23×C1911yescharacteristic
1237#103C23×C1911yescharacteristic
1238#103C23×C1911yescharacteristic
1239#103C23×C1911yescharacteristic
1240#103C23×C1911yescharacteristic
1241#103C23×C1911yescharacteristic
1242#103C23×C1911yescharacteristic
1243#103C23×C1911yescharacteristic
1244#103C23×C1911yescharacteristic
1245#103C23×C1911yescharacteristic
1246#103C23×C1911yescharacteristic
1247#103C23×C1911yescharacteristic
1248#103C23×C1911yescharacteristic
1249#103C23×C1911yescharacteristic
1250#103C23×C1911yescharacteristic
1251#103C23×C1911yescharacteristic
1252#103C23×C1911yescharacteristic
1253#103C23×C1911yescharacteristic
1254#103C23×C1911yescharacteristic
1255#103C23×C1911yescharacteristic
1256#103C23×C1911yescharacteristic
1257#103C23×C1911yescharacteristic
1258#103C23×C1911yescharacteristic
1259#103C23×C1911yescharacteristic
1260#102C23×C1911yescharacteristic
1261#102C23×C1911yescharacteristic
1262#102C23×C1911yescharacteristic
1263#102C23×C1911yescharacteristic
1264#102C23×C1911yescharacteristic
1265#102C23×C1911yescharacteristic
1266C22⋊C8C23×C1911yescharacteristic
1267C22⋊C8C23×C1911yescharacteristic
1268C22⋊C8C23×C1911yescharacteristic
1269C22⋊C8C23×C1911yescharacteristic
1270C22⋊C8C23×C1911yescharacteristic
1271C22⋊C8C23×C1911yescharacteristic
1272#97C23×C1911yescharacteristic
1273#97C23×C1911yescharacteristic
1274C4×C8C23×C1911yescharacteristic
1275C4×C8C23×C1911yescharacteristic
1276C4×C8C23×C1911yescharacteristic
1277C4×C8C23×C1911yescharacteristic
1278C19#6221411yescharacteristic, direct product factor, Sylow
1279#41—22no—
1280#41—41no—
1281C2×Q8—21no—
1282C2×Q8—21no—
1283C2×Q8—21no—
1284C2×Q8—21no—
1285C2×Q8—21no—
1286C2×Q8—21no—
1287C2×Q8—22no—
1288C2×Q8—22no—
1289C2×Q8—41no—
1290C2×Q8—41no—
1291C2×Q8C2×D4×C1911yescharacteristic
1292C2×Q8C24×C1911yescharacteristic
1293C2×Q8C24×C1911yescharacteristic
1294C2×Q8C24×C1911yescharacteristic
1295C2×Q8C24×C1911yescharacteristic
1296C2×Q8C24×C1911yescharacteristic
1297C2×D4—21no—
1298C2×D4—21no—
1299C2×D4—21no—
1300C2×D4C2×D4×C1911yescharacteristic
1301C2×D4C2×D4×C1911yescharacteristic
1302C2×D4C2×D4×C1911yescharacteristic
1303C2×D4C24×C1911yescharacteristic
1304C22×C4—21no—
1305C22×C4—21no—
1306C22×C4—21no—
1307C22×C4—21no—
1308C22×C4—21no—
1309C22×C4—21no—
1310C22×C4—21no—
1311C22×C4—21no—
1312C22×C4—21no—
1313C22×C4—21no—
1314C22×C4—21no—
1315C22×C4C2×D4×C1911yescharacteristic
1316C22×C4C2×D4×C1911yescharacteristic
1317C22×C4C24×C1911yescharacteristic
1318C22×C4C24×C1911yescharacteristic
1319C22×C4C24×C1911yescharacteristic
1320Q16—22no—
1321Q16—22no—
1322Q16—41no—
1323Q16—41no—
1324Q16—41no—
1325Q16—41no—
1326SD16—41no—
1327SD16—41no—
1328M16—41no—
1329M16—41no—
1330C2×C8—41no—
1331C2×C8—41no—
1332C2×C8—41no—
1333C2×C8—41no—
1334C2×C8C24×C1911yescharacteristic
1335C2×C8C24×C1911yescharacteristic
1336C2×C8C24×C1911yescharacteristic
1337C2×C8C24×C1911yescharacteristic
1338C2×C8C24×C1911yescharacteristic
1339C2×C8C24×C1911yescharacteristic
1340C2×C8C24×C1911yescharacteristic
1341C2×C8C24×C1911yescharacteristic
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⋊C4—21no—
1377C4⋊C4—21no—
1378C4⋊C4—21no—
1379C4⋊C4—21no—
1380C4⋊C4—21no—
1381C4⋊C4—21no—
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—21no—
1385C4⋊C4—21no—
1386C4⋊C4—21no—
1387C4⋊C4—21no—
1388C4⋊C4—21no—
1389C4⋊C4—21no—
1390C4⋊C4—21no—
1391C4⋊C4—21no—
1392C4⋊C4—21no—
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4C2×D4×C1911yescharacteristic
1397C4⋊C4C2×D4×C1911yescharacteristic
1398C4⋊C4C2×D4×C1911yescharacteristic
1399C4⋊C4C2×D4×C1911yescharacteristic
1400C4⋊C4C2×D4×C1911yescharacteristic
1401C4⋊C4C2×D4×C1911yescharacteristic
1402C4⋊C4C2×D4×C1911yescharacteristic
1403C4⋊C4C2×D4×C1911yescharacteristic
1404C4⋊C4C2×D4×C1911yescharacteristic
1405C4⋊C4C2×D4×C1911yescharacteristic
1406C4⋊C4C24×C1911yescharacteristic
1407C4⋊C4C24×C1911yescharacteristic
1408C4⋊C4C24×C1911yescharacteristic
1409C4⋊C4C24×C1911yescharacteristic
1410C4⋊C4C24×C1911yescharacteristic
1411C4⋊C4C24×C1911yescharacteristic
1412C4⋊C4C24×C1911yescharacteristic
1413C4⋊C4C24×C1911yescharacteristic
1414C4⋊C4C24×C1911yescharacteristic
1415C4⋊C4C24×C1911yescharacteristic
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⋊C4—21no—
1428C22⋊C4—21no—
1429C22⋊C4—21no—
1430C22⋊C4—21no—
1431C22⋊C4—21no—
1432C22⋊C4—21no—
1433C22⋊C4—21no—
1434C22⋊C4—21no—
1435C22⋊C4—21no—
1436C22⋊C4—21no—
1437C22⋊C4C2×D4×C1911yescharacteristic
1438C22⋊C4C2×D4×C1911yescharacteristic
1439C22⋊C4C2×D4×C1911yescharacteristic
1440C22⋊C4C2×D4×C1911yescharacteristic
1441C22⋊C4C2×D4×C1911yescharacteristic
1442C22⋊C4C2×D4×C1911yescharacteristic
1443C22⋊C4C2×D4×C1911yescharacteristic
1444C22⋊C4C2×D4×C1911yescharacteristic
1445C22⋊C4C2×D4×C1911yescharacteristic
1446C22⋊C4C2×D4×C1911yescharacteristic
1447C42—21no—
1448C42—21no—
1449C42—21no—
1450C42—21no—
1451C42—21no—
1452C42—21no—
1453C42—21no—
1454C42—21no—
1455C42—21no—
1456C42—21no—
1457C42—21no—
1458C42—21no—
1459C42—21no—
1460C42—21no—
1461C42—21no—
1462C42—21no—
1463C42—21no—
1464C42C2×D4×C1911yescharacteristic
1465C42C2×D4×C1911yescharacteristic
1466C42C24×C1911yescharacteristic
1467C42C24×C1911yescharacteristic
1468C42C24×C1911yescharacteristic
1469C42C24×C1911yescharacteristic
1470C23—21no—
1471C23C22×D4×C1911yescharacteristic
1472C23C22×D4×C1911yescharacteristic
1473C23C22×D4×C1911yescharacteristic
1474Q8—21no—
1475Q8—21no—
1476Q8—21no—
1477Q8—21no—
1478Q8—21no—
1479Q8—21no—
1480Q8—21no—
1481Q8—21no—
1482Q8—21no—
1483Q8—41no—
1484Q8—42no—
1485Q8—42no—
1486Q8—81no—
1487Q8—81no—
1488Q8—81no—
1489Q8—81no—
1490Q8C19×2−1+412yes—
1491D4—22no—
1492D4—22no—
1493D4—21no—
1494D4—21no—
1495D4—41no—
1496D4—42no—
1497D4—42no—
1498D4—81no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—41no—
1522C2×C4—42no—
1523C2×C4—42no—
1524C2×C4—42no—
1525C2×C4—42no—
1526C2×C4—81no—
1527C2×C4—81no—
1528C2×C4—81no—
1529C2×C4—81no—
1530C2×C4—81no—
1531C2×C4—81no—
1532C2×C4—81no—
1533C2×C4C22×D4×C1911yescharacteristic
1534C2×C4C22×D4×C1911yescharacteristic
1535C2×C4C22×D4×C1911yescharacteristic
1536C2×C4C22×D4×C1911yescharacteristic
1537C2×C4C22×D4×C1911yescharacteristic
1538C2×C4C22×D4×C1911yescharacteristic
1539C2×C4C22×D4×C1911yescharacteristic
1540C2×C4C22×D4×C1911yescharacteristic
1541C2×C4C22×D4×C1911yescharacteristic
1542C2×C4C22×D4×C1911yescharacteristic
1543C2×C4C22×D4×C1911yescharacteristic
1544C2×C4C25×C1911yescharacteristic
1545C8—21no—
1546C8—21no—
1547C8—21no—
1548C8—21no—
1549C8—21no—
1550C8—21no—
1551C8—21no—
1552C8—21no—
1553C22—21no—
1554C22—21no—
1555C22—21no—
1556C22—21no—
1557C22—21no—
1558C22—21no—
1559C22—21no—
1560C22—21no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22C19×#57812yes—
1565C22C23×D4×C1911yescharacteristic
1566C4—21no—
1567C4—21no—
1568C4—21no—
1569C4—22no—
1570C4—21no—
1571C4—21no—
1572C4—21no—
1573C4—21no—
1574C4—21no—
1575C4—21no—
1576C4—21no—
1577C4—21no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—41no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4C2×C19×2−1+411yescharacteristic
1593C4C19×#58511yescharacteristic
1594C2—22no—
1595C2—41no—
1596C2—41no—
1597C2—81no—
1598C2C19×#348911yescharacteristic
1599C2C2×C19×#57811yescharacteristic
1600C2C19×#358411yescharacteristic
subgroupG/H
center, socleC22×C19C23×D4
commutator, Frattini, cosocleC2×C4C25×C19
prime radicalC19×#3516C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C19 ◁ C19×#529 ◁ G

Complements

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

NH ≅ G/Ntype
1. C19×#3563C2semidirect
3. C19×#3390C2semidirect
4. C19×#3383C2semidirect
5. C19×#3377C2semidirect
6. C19×#3364C2semidirect
7. C19×#3352C2semidirect
8. C19×#3346C2semidirect
9. C19×#3344C2semidirect
10. C19×#3338C2semidirect
11. C19×#3337C2semidirect
12. C19×#3336C2semidirect
13. C19×#3327C2semidirect
14. C19×#3316C2semidirect
15. C19×#3312C2semidirect
16. C19×#3300C2semidirect
17. C19×#3300C2semidirect
18. C19×#3299C2semidirect
19. C19×#3261C2semidirect
20. C19×#3258C2semidirect
21. C19×#3248C2semidirect
22. C19×#3243C2semidirect
23. C19×#3242C2semidirect
24. C19×#3232C2semidirect
25. C19×#3127C2semidirect
26. C19×#3120C2semidirect
27. C19×#3104C2semidirect
28. C19×#3083C2semidirect
29. C19×#3082C2semidirect
30. C2×C19×#479C2semidirect
31. C19×#2994C2semidirect
669. #62214C19direct (N × H)
753. #3563C2×C19semidirect
755. #3390C2×C19semidirect
756. #3383C2×C19semidirect
757. #3377C2×C19semidirect
758. #3364C2×C19semidirect
759. #3352C2×C19semidirect
760. #3346C2×C19semidirect
761. #3344C2×C19semidirect
762. #3338C2×C19semidirect
763. #3337C2×C19semidirect
764. #3336C2×C19semidirect
765. #3327C2×C19semidirect
766. #3316C2×C19semidirect
767. #3312C2×C19semidirect
768. #3300C2×C19semidirect
769. #3300C2×C19semidirect
770. #3299C2×C19semidirect
771. #3261C2×C19semidirect
772. #3258C2×C19semidirect
773. #3248C2×C19semidirect
774. #3243C2×C19semidirect
775. #3242C2×C19semidirect
776. #3232C2×C19semidirect
777. #3127C2×C19semidirect
778. #3120C2×C19semidirect
779. #3104C2×C19semidirect
780. #3083C2×C19semidirect
781. #3082C2×C19semidirect
782. C2×#479C2×C19semidirect
783. #2994C2×C19semidirect
1278. C19#62214direct (N × H)

Maximal subgroups

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

subgroupindex
C19×#35632
C19×#35162
C19×#33902
C19×#33832
C19×#33772
C19×#33642
C19×#33522
C19×#33462
C19×#33442
C19×#33382
C19×#33372
C19×#33362
C19×#33272
C19×#33162
C19×#33122
C19×#33002
C19×#32992
C19×#32612
C19×#32582
C19×#32482
C19×#32432
C19×#32422
C19×#32322
C19×#31272
C19×#31202
C19×#31042
C19×#30832
C19×#30822
C2×C19×#4792
C19×#29942
#6221419