Finite Group Databasebeta

← C19×#62390 #18068349

Subgroups — C19×#62390 #18068349

Order 4864.

1656 conjugacy classes of subgroups.

The subgroup lattice has 1630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C19×#3555C211yesmaximal, characteristic, complemented
2C19×#3554C211yesmaximal, characteristic, complemented
3C19×#3401C211yesmaximal, characteristic, complemented
4C19×#3401C211yesmaximal, characteristic, complemented
5C19×#3400C211yesmaximal, characteristic, complemented
6C19×#3397C211yesmaximal, characteristic, complemented
7C19×#3390C211yesmaximal, characteristic, complemented
8C19×#3389C211yesmaximal, characteristic, complemented
9C19×#3386C211yesmaximal, characteristic, complemented
10C19×#3385C211yesmaximal, characteristic, complemented
11C19×#3377C211yesmaximal, characteristic, complemented
12C19×#3376C211yesmaximal, characteristic, complemented
13C19×#3375C211yesmaximal, characteristic, complemented
14C19×#3372C211yesmaximal, characteristic, complemented
15C19×#3371C211yesmaximal, characteristic, complemented
16C19×#3370C211yesmaximal, characteristic, complemented
17C19×#3368C211yesmaximal, characteristic, complemented
18C19×#3367C211yesmaximal, characteristic, complemented
19C19×#3262C211yesmaximal, characteristic, complemented
20C19×#3260C211yesmaximal, characteristic, complemented
21C19×#3258C211yesmaximal, characteristic, complemented
22C19×#3257C211yesmaximal, characteristic, complemented
23C19×#3256C211yesmaximal, characteristic, complemented
24C19×#3254C211yesmaximal, characteristic, complemented
25C19×#3181C211yesmaximal, characteristic, complemented
26C19×#3180C211yesmaximal, characteristic, complemented
27C19×#3179C211yesmaximal, characteristic, complemented
28C19×#3178C211yesmaximal, characteristic, complemented
29C19×#3175C211yesmaximal, characteristic, complemented
30C19×#3174C211yesmaximal, characteristic, complemented
31C19×#2961C211yesmaximal, characteristic, complemented
32C19×#563—21no—
33C19×#563—21no—
34C19×#562—21no—
35C19×#562—21no—
36C19×#559C2211yescharacteristic
37C19×#559C2211yescharacteristic
38C19×#559C2211yescharacteristic
39Q82×C19C2211yescharacteristic
40C19×#557C2211yescharacteristic
41C19×#557C2211yescharacteristic
42C19×#557C2211yescharacteristic
43C19×#557C2211yescharacteristic
44C19×#556—21no—
45C19×#556C2211yescharacteristic
46C19×#556C2211yescharacteristic
47C19×#556C2211yescharacteristic
48C19×#554C2211yescharacteristic
49C19×#554C2211yescharacteristic
50C19×#554C2211yescharacteristic
51C19×#552—21no—
52C19×#550C2211yescharacteristic
53D4×Q8×C19C2211yescharacteristic
54C19×#548—21no—
55C19×#547—21no—
56C19×#544—21no—
57C19×#542—21no—
58C19×#542C2211yescharacteristic
59C19×#542C2211yescharacteristic
60C19×#542C2211yescharacteristic
61C19×#542C2211yescharacteristic
62C19×#541—21no—
63C19×#541—21no—
64C19×#541—21no—
65C19×#541C2211yescharacteristic
66C19×#541C2211yescharacteristic
67C19×#540C2211yescharacteristic
68C19×#540C2211yescharacteristic
69C19×#539—21no—
70C19×#539—21no—
71C19×#536—21no—
72C19×#533C2211yescharacteristic
73C19×#533C2211yescharacteristic
74C19×#532C2211yescharacteristic
75C19×#529C2211yescharacteristic
76C19×#529C2211yescharacteristic
77C19×#501C2211yescharacteristic
78C19×#501C2211yescharacteristic
79C19×#501C2211yescharacteristic
80C19×#501C2211yescharacteristic
81C19×#500C2211yescharacteristic
82C19×#499C2211yescharacteristic
83C19×#497C2211yescharacteristic
84C19×#497C2211yescharacteristic
85C19×#496C2211yescharacteristic
86C19×#496C2211yescharacteristic
87C19×#495C2211yescharacteristic
88C19×#492C2211yescharacteristic
89C19×#491C2211yescharacteristic
90C19×#491C2211yescharacteristic
91C19×#490C2211yescharacteristic
92C19×#490C2211yescharacteristic
93C19×#489C2211yescharacteristic
94C19×#489C2211yescharacteristic
95C19×#489C2211yescharacteristic
96C19×#489C2211yescharacteristic
97C19×#488C2211yescharacteristic
98C19×#488C2211yescharacteristic
99C19×#487C2211yescharacteristic
100C19×#486C2211yescharacteristic
101C19×#479C2211yescharacteristic
102C19×#479C2211yescharacteristic
103C19×#479C2211yescharacteristic
104C19×#479C2211yescharacteristic
105C19×#479C2211yescharacteristic
106C19×#479C2211yescharacteristic
107C19×#478C2211yescharacteristic
108C19×#478C2211yescharacteristic
109C19×#478C2211yescharacteristic
110C19×#478C2211yescharacteristic
111C19×#478C2211yescharacteristic
112C19×#478C2211yescharacteristic
113C19×#477C2211yescharacteristic
114C19×#477C2211yescharacteristic
115C19×#477C2211yescharacteristic
116C19×#477C2211yescharacteristic
117C19×#477C2211yescharacteristic
118C19×#476C2211yescharacteristic
119C19×#475C2211yescharacteristic
120C19×#474C2211yescharacteristic
121C19×#474C2211yescharacteristic
122C19×#474C2211yescharacteristic
123C19×#474C2211yescharacteristic
124C19×#474C2211yescharacteristic
125C19×#470C2211yescharacteristic
126C19×#469C2211yescharacteristic
127C19×#468C2211yescharacteristic
128C19×#468C2211yescharacteristic
129C19×#468C2211yescharacteristic
130C19×#468C2211yescharacteristic
131C19×#468C2211yescharacteristic
132C19×#468C2211yescharacteristic
133C19×#467C2211yescharacteristic
134C19×#467C2211yescharacteristic
135C19×#466C2211yescharacteristic
136C19×#466C2211yescharacteristic
137C19×#465C2211yescharacteristic
138C19×#465C2211yescharacteristic
139C19×#465C2211yescharacteristic
140C19×#465C2211yescharacteristic
141C19×#464C2211yescharacteristic
142C19×#464C2211yescharacteristic
143C19×#464C2211yescharacteristic
144C19×#464C2211yescharacteristic
145C19×#464C2211yescharacteristic
146C19×#464C2211yescharacteristic
147C19×#463C2211yescharacteristic
148C19×#463C2211yescharacteristic
149C19×#463C2211yescharacteristic
150C19×#463C2211yescharacteristic
151C19×#463C2211yescharacteristic
152C19×#463C2211yescharacteristic
153C19×#462C2211yescharacteristic
154C19×#461C2211yescharacteristic
155C19×#461C2211yescharacteristic
156C19×#461C2211yescharacteristic
157C19×#461C2211yescharacteristic
158C19×#461C2211yescharacteristic
159C19×#460C2211yescharacteristic
160C19×#460C2211yescharacteristic
161C19×#460C2211yescharacteristic
162C19×#460C2211yescharacteristic
163C19×#460C2211yescharacteristic
164C19×#459C2211yescharacteristic
165C19×#446C2211yescharacteristic
166C19×#446C2211yescharacteristic
167C19×#446C2211yescharacteristic
168C19×#446C2211yescharacteristic
169C19×#446C2211yescharacteristic
170C19×#446C2211yescharacteristic
171C19×#446C2211yescharacteristic
172C19×#446C2211yescharacteristic
173C19×#442C2211yescharacteristic
174C19×#442C2211yescharacteristic
175C19×#442C2211yescharacteristic
176C19×#441C2211yescharacteristic
177C19×#441C2211yescharacteristic
178C19×#441C2211yescharacteristic
179C19×#440C2211yescharacteristic
180C19×#440C2211yescharacteristic
181C19×#440C2211yescharacteristic
182C19×#440C2211yescharacteristic
183C19×#440C2211yescharacteristic
184C19×#440C2211yescharacteristic
185C19×#440C2211yescharacteristic
186C19×#440C2211yescharacteristic
187C19×#440C2211yescharacteristic
188C19×#440C2211yescharacteristic
189C4×Q16×C19C2211yescharacteristic
190C4×Q16×C19C2211yescharacteristic
191C4×SD16×C19C2211yescharacteristic
192C4×SD16×C19C2211yescharacteristic
193C4×SD16×C19C2211yescharacteristic
194C4×SD16×C19C2211yescharacteristic
195C4×D8×C19C2211yescharacteristic
196C4×D8×C19C2211yescharacteristic
197C19×#424C2211yescharacteristic
198C19×#424C2211yescharacteristic
199C19×#423C2211yescharacteristic
200C19×#405C2211yescharacteristic
201C19×#405C2211yescharacteristic
202C2×C19×#97C2211yescharacteristic
203C2×#41×C19—21no—
204C2×#41×C19—21no—
205C22×Q8×C19—21no—
206C2×Q16×C19C2311yescharacteristic
207C2×Q16×C19C2311yescharacteristic
208C2×Q16×C19C2311yescharacteristic
209C2×SD16×C19C2311yescharacteristic
210C2×SD16×C19C2311yescharacteristic
211C2×SD16×C19C2311yescharacteristic
212C2×SD16×C19C2311yescharacteristic
213C2×SD16×C19C2311yescharacteristic
214C2×SD16×C19C2311yescharacteristic
215C2×SD16×C19C2311yescharacteristic
216C2×SD16×C19C2311yescharacteristic
217C2×SD16×C19C2311yescharacteristic
218C2×SD16×C19C2311yescharacteristic
219C2×D8×C19C2311yescharacteristic
220C2×D8×C19C2311yescharacteristic
221C2×D8×C19C2311yescharacteristic
222C2×M16×C19C2311yescharacteristic
223C2×M16×C19C2311yescharacteristic
224C22×C8×C19C2311yescharacteristic
225C22×C8×C19C2311yescharacteristic
226C19×C4⋊Q8—21no—
227C19×C4⋊Q8—21no—
228C19×C4⋊Q8—21no—
229C19×C4⋊Q8—21no—
230C19×C4⋊Q8—21no—
231C19×C4⋊Q8—21no—
232C19×C4⋊Q8D411yescharacteristic
233C19×C4⋊Q8D411yescharacteristic
234C19×C4⋊Q8C2311yescharacteristic
235C19×C4⋊Q8C2311yescharacteristic
236C19×C4⋊Q8C2311yescharacteristic
237C19×C4⋊Q8C2311yescharacteristic
238C19×C4⋊Q8C2311yescharacteristic
239C19×C4⋊Q8C2311yescharacteristic
240C19×C4⋊Q8C2311yescharacteristic
241C19×C4⋊Q8C2311yescharacteristic
242C19×C4⋊Q8C2311yescharacteristic
243C19×#127C2311yescharacteristic
244C19×#127C2311yescharacteristic
245C19×#127C2311yescharacteristic
246C19×#126—21no—
247C19×#126—21no—
248C19×#126—21no—
249C19×#126—21no—
250C19×#126—21no—
251C19×#126—21no—
252C19×#126—21no—
253C19×#126—21no—
254C19×#126—21no—
255C19×#126—21no—
256C19×#126—21no—
257C19×#126—21no—
258C19×#126—21no—
259C19×#126—21no—
260C19×#126—21no—
261C19×#126—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×#125—21no—
276C19×#125D411yescharacteristic
277C19×#125D411yescharacteristic
278C19×#125C2311yescharacteristic
279C19×#125C2311yescharacteristic
280C19×#125C2311yescharacteristic
281C19×#125C2311yescharacteristic
282C19×#125C2311yescharacteristic
283C19×#125C2311yescharacteristic
284C19×#124—21no—
285C19×#124—21no—
286C19×#124—21no—
287C19×#124—21no—
288C19×#124—21no—
289C19×#124—21no—
290C19×#124—21no—
291C19×#124—21no—
292C19×#124C2311yescharacteristic
293C19×#124C2311yescharacteristic
294C19×#124C2311yescharacteristic
295C19×#124C2311yescharacteristic
296C19×#124C2311yescharacteristic
297C19×#124C2311yescharacteristic
298C19×#123—21no—
299C19×#123—21no—
300C19×#123—21no—
301C19×#123—21no—
302C19×#123—21no—
303C19×#123—21no—
304C19×#123—21no—
305C19×#123—21no—
306C19×#123—21no—
307C19×#123—21no—
308C19×#123—21no—
309C19×#123—21no—
310C19×#123—21no—
311C19×#123—21no—
312C19×#123—21no—
313C19×#123—21no—
314C19×C22⋊Q8—21no—
315C19×C22⋊Q8—21no—
316C19×C22⋊Q8—21no—
317C19×C22⋊Q8—21no—
318C19×C22⋊Q8—21no—
319C19×C22⋊Q8—21no—
320C19×C22⋊Q8—21no—
321C19×C22⋊Q8—21no—
322C19×C22⋊Q8—21no—
323C19×C22⋊Q8—21no—
324C19×C22⋊Q8—21no—
325C19×C22⋊Q8—21no—
326C19×C22⋊Q8—21no—
327C19×C22⋊Q8—21no—
328C19×C22⋊Q8—21no—
329C19×C22⋊Q8—21no—
330C19×C22⋊Q8—21no—
331C19×C22⋊Q8—21no—
332C19×C22⋊Q8—21no—
333C19×C22⋊Q8—21no—
334C19×C22⋊Q8D411yescharacteristic
335C19×C22⋊Q8D411yescharacteristic
336C19×C22⋊Q8D411yescharacteristic
337C19×C22⋊Q8D411yescharacteristic
338C19×C22⋊Q8C2311yescharacteristic
339C19×C22⋊Q8C2311yescharacteristic
340C19×C22⋊Q8C2311yescharacteristic
341C19×C22⋊Q8C2311yescharacteristic
342C19×#121—21no—
343C19×#121—21no—
344C19×#121—21no—
345C19×#121—21no—
346C19×#121—21no—
347C19×#121—21no—
348C19×#121—21no—
349C19×#121—21no—
350C19×#121C2311yescharacteristic
351C19×#121C2311yescharacteristic
352C19×#121C2311yescharacteristic
353C19×#121C2311yescharacteristic
354C4×Q8×C19—21no—
355C4×Q8×C19—21no—
356C4×Q8×C19—21no—
357C4×Q8×C19—21no—
358C4×Q8×C19—21no—
359C4×Q8×C19—21no—
360C4×Q8×C19C2311yescharacteristic
361C4×Q8×C19C2311yescharacteristic
362C4×Q8×C19C2311yescharacteristic
363C4×Q8×C19C2311yescharacteristic
364C4×Q8×C19C2311yescharacteristic
365C4×Q8×C19C2311yescharacteristic
366C4×Q8×C19C2311yescharacteristic
367C4×Q8×C19C2311yescharacteristic
368C4×Q8×C19C2311yescharacteristic
369C4×Q8×C19C2311yescharacteristic
370C4×Q8×C19C2311yescharacteristic
371C4×Q8×C19C2311yescharacteristic
372C4×Q8×C19C2311yescharacteristic
373C4×Q8×C19C2311yescharacteristic
374C4×Q8×C19C2311yescharacteristic
375C4×Q8×C19C2311yescharacteristic
376C4×D4×C19—21no—
377C4×D4×C19—21no—
378C4×D4×C19—21no—
379C4×D4×C19—21no—
380C4×D4×C19—21no—
381C4×D4×C19—21no—
382C4×D4×C19C2311yescharacteristic
383C4×D4×C19C2311yescharacteristic
384C4×D4×C19C2311yescharacteristic
385C4×D4×C19C2311yescharacteristic
386C4×D4×C19C2311yescharacteristic
387C4×D4×C19C2311yescharacteristic
388C4×D4×C19C2311yescharacteristic
389C4×D4×C19C2311yescharacteristic
390C4×D4×C19C2311yescharacteristic
391C4×D4×C19C2311yescharacteristic
392C4×D4×C19C2311yescharacteristic
393C4×D4×C19C2311yescharacteristic
394C19×#117—21no—
395C19×#117—21no—
396C19×#117—21no—
397C19×#117—21no—
398C19×#117—21no—
399C19×#117—21no—
400C19×#117C2311yescharacteristic
401C19×#117C2311yescharacteristic
402C2×C4⋊C4×C19—21no—
403C2×C4⋊C4×C19—21no—
404C2×C4⋊C4×C19—21no—
405C2×C42×C19C2311yescharacteristic
406C19×#107C2311yescharacteristic
407C19×#107C2311yescharacteristic
408C19×#107C2311yescharacteristic
409C19×#107C2311yescharacteristic
410C19×#107C2311yescharacteristic
411C19×#107C2311yescharacteristic
412C19×#107C2311yescharacteristic
413C19×#107C2311yescharacteristic
414C19×#107C2311yescharacteristic
415C19×#107C2311yescharacteristic
416C19×#106C2311yescharacteristic
417C19×#106C2311yescharacteristic
418C19×#106C2311yescharacteristic
419C19×#106C2311yescharacteristic
420C19×#106C2311yescharacteristic
421C19×#106C2311yescharacteristic
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×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×#102C2311yescharacteristic
451C19×#102C2311yescharacteristic
452C19×#102C2311yescharacteristic
453C19×#102C2311yescharacteristic
454C19×#102C2311yescharacteristic
455C19×#102C2311yescharacteristic
456C19×#102C2311yescharacteristic
457C19×#102C2311yescharacteristic
458C19×#102C2311yescharacteristic
459C19×#102C2311yescharacteristic
460C19×#102C2311yescharacteristic
461C19×#102C2311yescharacteristic
462C19×#102C2311yescharacteristic
463C19×#102C2311yescharacteristic
464C19×#102C2311yescharacteristic
465C19×#102C2311yescharacteristic
466C19×#97C2311yescharacteristic
467C19×#97C2311yescharacteristic
468C19×#97C2311yescharacteristic
469C19×#97C2311yescharacteristic
470C19×#97C2311yescharacteristic
471C19×#97C2311yescharacteristic
472C19×#97C2311yescharacteristic
473C19×#97C2311yescharacteristic
474C4×C8×C19C2311yescharacteristic
475C4×C8×C19C2311yescharacteristic
476C4×C8×C19C2311yescharacteristic
477C4×C8×C19C2311yescharacteristic
478#41×C19—82no—
479#41×C19—82no—
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—82no—
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×C19—21no—
498C2×D4×C19—21no—
499C2×D4×C19—21no—
500C2×D4×C19—21no—
501C2×D4×C19—21no—
502C2×D4×C19—21no—
503C2×D4×C19—21no—
504C2×D4×C19—21no—
505C2×D4×C19C2411yescharacteristic
506C2×D4×C19C2411yescharacteristic
507C2×D4×C19C2411yescharacteristic
508C2×D4×C19C2411yescharacteristic
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×C19—21no—
517C22×C4×C19—21no—
518C22×C4×C19—21no—
519C22×C4×C19—21no—
520C22×C4×C19—21no—
521C22×C4×C19C2×D411yescharacteristic
522C22×C4×C19C2×D411yescharacteristic
523C22×C4×C19C2411yescharacteristic
524Q16×C19—22no—
525Q16×C19—41no—
526Q16×C19—41no—
527SD16×C19—22no—
528SD16×C19—22no—
529SD16×C19—41no—
530SD16×C19—41no—
531SD16×C19—41no—
532SD16×C19—41no—
533SD16×C19—41no—
534SD16×C19—41no—
535SD16×C19—41no—
536SD16×C19—41no—
537D8×C19—22no—
538D8×C19—41no—
539D8×C19—41no—
540M16×C19—41no—
541M16×C19—41no—
542C2×C8×C19—22no—
543C2×C8×C19—41no—
544C2×C8×C19C2411yescharacteristic
545C2×C8×C19C2411yescharacteristic
546C2×C8×C19C2411yescharacteristic
547C2×C8×C19C2411yescharacteristic
548C2×C8×C19C2411yescharacteristic
549C2×C8×C19C2411yescharacteristic
550C2×C8×C19C2411yescharacteristic
551C2×C8×C19C2411yescharacteristic
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×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×C19C2×D411yescharacteristic
602C4⋊C4×C19C2×D411yescharacteristic
603C4⋊C4×C19C2×D411yescharacteristic
604C4⋊C4×C19C2×D411yescharacteristic
605C4⋊C4×C19C2×D411yescharacteristic
606C4⋊C4×C19C2×D411yescharacteristic
607C4⋊C4×C19C2×D411yescharacteristic
608C4⋊C4×C19C2411yescharacteristic
609C4⋊C4×C19C2411yescharacteristic
610C4⋊C4×C19C2411yescharacteristic
611C4⋊C4×C19C2411yescharacteristic
612C4⋊C4×C19C2411yescharacteristic
613C4⋊C4×C19C2411yescharacteristic
614C4⋊C4×C19C2411yescharacteristic
615C4⋊C4×C19C2411yescharacteristic
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×C19—21no—
637C22⋊C4×C19—21no—
638C22⋊C4×C19—21no—
639C22⋊C4×C19—21no—
640C22⋊C4×C19—21no—
641C22⋊C4×C19—21no—
642C22⋊C4×C19—21no—
643C22⋊C4×C19—21no—
644C22⋊C4×C19—21no—
645C22⋊C4×C19—21no—
646C22⋊C4×C19—21no—
647C22⋊C4×C19—21no—
648C22⋊C4×C19C2×D411yescharacteristic
649C22⋊C4×C19C2×D411yescharacteristic
650C22⋊C4×C19C2×D411yescharacteristic
651C22⋊C4×C19C2×D411yescharacteristic
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×C19—21no—
664C42×C19C2×D411yescharacteristic
665C42×C19C2×D411yescharacteristic
666C42×C19C2411yescharacteristic
667C42×C19C2411yescharacteristic
668C42×C19C2411yescharacteristic
669C42×C19C2411yescharacteristic
670C42×C19C2411yescharacteristic
671C42×C19C2411yescharacteristic
672#62390C1911yesmaximal, characteristic, direct product factor, Sylow
673C23×C19—21no—
674C23×C19—21no—
675C23×C19—21no—
676C23×C19—21no—
677C23×C19C22×D411yescharacteristic
678Q8×C19—21no—
679Q8×C19—21no—
680Q8×C19—21no—
681Q8×C19—21no—
682Q8×C19—21no—
683Q8×C19—21no—
684Q8×C19—21no—
685Q8×C19—21no—
686Q8×C19—41no—
687Q8×C19—41no—
688Q8×C19—41no—
689Q8×C19—41no—
690Q8×C19—42no—
691Q8×C19—81no—
692Q8×C19—81no—
693Q8×C19—81no—
694Q8×C19—81no—
695Q8×C19—81no—
696D4×C19—21no—
697D4×C19—21no—
698D4×C19—21no—
699D4×C19—21no—
700D4×C19—21no—
701D4×C19—21no—
702D4×C19—21no—
703D4×C19—21no—
704D4×C19—42no—
705D4×C19—81no—
706D4×C19—81no—
707D4×C19—81no—
708D4×C19—81no—
709D4×C19—81no—
710D4×C19—81no—
711D4×C19—81no—
712D4×C19—81no—
713D4×C19—81no—
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—21no—
722C2×C4×C19—21no—
723C2×C4×C19—21no—
724C2×C4×C19—21no—
725C2×C4×C19—21no—
726C2×C4×C19—21no—
727C2×C4×C19—21no—
728C2×C4×C19—41no—
729C2×C4×C19—41no—
730C2×C4×C19—42no—
731C2×C4×C19—42no—
732C2×C4×C19—81no—
733C2×C4×C19—81no—
734C2×C4×C19—81no—
735C2×C4×C19—81no—
736C2×C4×C19—81no—
737C2×C4×C19—81no—
738C2×C4×C19—81no—
739C2×C4×C19—81no—
740C2×C4×C19—81no—
741C2×C4×C19—81no—
742C2×C4×C19C22×D411yescharacteristic
743C2×C4×C19C22×D411yescharacteristic
744C2×C4×C19C22×D411yescharacteristic
745C2×C4×C19C22×D411yescharacteristic
746C2×C4×C19C22×D411yescharacteristic
747C2×C4×C19C22×D411yescharacteristic
748C2×C4×C19C22×D411yescharacteristic
749C2×C4×C19C22×D411yescharacteristic
750C2×C4×C19C22×D411yescharacteristic
751C2×C4×C19C22×D411yescharacteristic
752C2×C4×C19C22×D411yescharacteristic
753C2×C4×C19C22×D411yescharacteristic
754C2×C4×C19C22×D411yescharacteristic
755C2×C4×C19C2511yescharacteristic
756C8×C19—21no—
757C8×C19—21no—
758C8×C19—21no—
759C8×C19—21no—
760C8×C19—21no—
761C8×C19—21no—
762C8×C19—21no—
763C8×C192−1+412yes—
764#3555C2×C1911yescharacteristic, complemented
765#3554C2×C1911yescharacteristic, complemented
766#3401C2×C1911yescharacteristic, complemented
767#3401C2×C1911yescharacteristic, complemented
768#3400C2×C1911yescharacteristic, complemented
769#3397C2×C1911yescharacteristic, complemented
770#3390C2×C1911yescharacteristic, complemented
771#3389C2×C1911yescharacteristic, complemented
772#3386C2×C1911yescharacteristic, complemented
773#3385C2×C1911yescharacteristic, complemented
774#3377C2×C1911yescharacteristic, complemented
775#3376C2×C1911yescharacteristic, complemented
776#3375C2×C1911yescharacteristic, complemented
777#3372C2×C1911yescharacteristic, complemented
778#3371C2×C1911yescharacteristic, complemented
779#3370C2×C1911yescharacteristic, complemented
780#3368C2×C1911yescharacteristic, complemented
781#3367C2×C1911yescharacteristic, complemented
782#3262C2×C1911yescharacteristic, complemented
783#3260C2×C1911yescharacteristic, complemented
784#3258C2×C1911yescharacteristic, complemented
785#3257C2×C1911yescharacteristic, complemented
786#3256C2×C1911yescharacteristic, complemented
787#3254C2×C1911yescharacteristic, complemented
788#3181C2×C1911yescharacteristic, complemented
789#3180C2×C1911yescharacteristic, complemented
790#3179C2×C1911yescharacteristic, complemented
791#3178C2×C1911yescharacteristic, complemented
792#3175C2×C1911yescharacteristic, complemented
793#3174C2×C1911yescharacteristic, complemented
794#2961C2×C1911yescharacteristic, complemented
795C22×C19—21no—
796C22×C19—21no—
797C22×C19—21no—
798C22×C19—41no—
799C22×C19—41no—
800C22×C19—41no—
801C22×C19—41no—
802C22×C19—41no—
803C22×C19—41no—
804C22×C19—41no—
805C22×C19—41no—
806C22×C19—41no—
807C22×C19—41no—
808C22×C19—41no—
809C22×C19—41no—
810C22×C19C23×D411yescharacteristic
811C4×C19—21no—
812C4×C19—21no—
813C4×C19—21no—
814C4×C19—21no—
815C4×C19—21no—
816C4×C19—21no—
817C4×C19—21no—
818C4×C19—21no—
819C4×C19—21no—
820C4×C19—21no—
821C4×C19—21no—
822C4×C19—21no—
823C4×C19—21no—
824C4×C19—41no—
825C4×C19—41no—
826C4×C19—41no—
827C4×C19—41no—
828C4×C19—41no—
829C4×C19—41no—
830C4×C19—41no—
831C4×C19—41no—
832C4×C19—41no—
833C4×C19—41no—
834C4×C19—41no—
835C4×C19—41no—
836C4×C19C2×2−1+411yescharacteristic
837C4×C19#58511yescharacteristic
838#563—21no—
839#563—21no—
840#562—21no—
841#562—21no—
842#559C22×C1911yescharacteristic
843#559C22×C1911yescharacteristic
844#559C22×C1911yescharacteristic
845Q82C22×C1911yescharacteristic
846#557C22×C1911yescharacteristic
847#557C22×C1911yescharacteristic
848#557C22×C1911yescharacteristic
849#557C22×C1911yescharacteristic
850#556—21no—
851#556C22×C1911yescharacteristic
852#556C22×C1911yescharacteristic
853#556C22×C1911yescharacteristic
854#554C22×C1911yescharacteristic
855#554C22×C1911yescharacteristic
856#554C22×C1911yescharacteristic
857#552—21no—
858#550C22×C1911yescharacteristic
859D4×Q8C22×C1911yescharacteristic
860#548—21no—
861#547—21no—
862#544—21no—
863#542—21no—
864#542C22×C1911yescharacteristic
865#542C22×C1911yescharacteristic
866#542C22×C1911yescharacteristic
867#542C22×C1911yescharacteristic
868#541—21no—
869#541—21no—
870#541—21no—
871#541C22×C1911yescharacteristic
872#541C22×C1911yescharacteristic
873#540C22×C1911yescharacteristic
874#540C22×C1911yescharacteristic
875#539—21no—
876#539—21no—
877#536—21no—
878#533C22×C1911yescharacteristic
879#533C22×C1911yescharacteristic
880#532C22×C1911yescharacteristic
881#529C22×C1911yescharacteristic
882#529C22×C1911yescharacteristic
883#501C22×C1911yescharacteristic
884#501C22×C1911yescharacteristic
885#501C22×C1911yescharacteristic
886#501C22×C1911yescharacteristic
887#500C22×C1911yescharacteristic
888#499C22×C1911yescharacteristic
889#497C22×C1911yescharacteristic
890#497C22×C1911yescharacteristic
891#496C22×C1911yescharacteristic
892#496C22×C1911yescharacteristic
893#495C22×C1911yescharacteristic
894#492C22×C1911yescharacteristic
895#491C22×C1911yescharacteristic
896#491C22×C1911yescharacteristic
897#490C22×C1911yescharacteristic
898#490C22×C1911yescharacteristic
899#489C22×C1911yescharacteristic
900#489C22×C1911yescharacteristic
901#489C22×C1911yescharacteristic
902#489C22×C1911yescharacteristic
903#488C22×C1911yescharacteristic
904#488C22×C1911yescharacteristic
905#487C22×C1911yescharacteristic
906#486C22×C1911yescharacteristic
907#479C22×C1911yescharacteristic
908#479C22×C1911yescharacteristic
909#479C22×C1911yescharacteristic
910#479C22×C1911yescharacteristic
911#479C22×C1911yescharacteristic
912#479C22×C1911yescharacteristic
913#478C22×C1911yescharacteristic
914#478C22×C1911yescharacteristic
915#478C22×C1911yescharacteristic
916#478C22×C1911yescharacteristic
917#478C22×C1911yescharacteristic
918#478C22×C1911yescharacteristic
919#477C22×C1911yescharacteristic
920#477C22×C1911yescharacteristic
921#477C22×C1911yescharacteristic
922#477C22×C1911yescharacteristic
923#477C22×C1911yescharacteristic
924#476C22×C1911yescharacteristic
925#475C22×C1911yescharacteristic
926#474C22×C1911yescharacteristic
927#474C22×C1911yescharacteristic
928#474C22×C1911yescharacteristic
929#474C22×C1911yescharacteristic
930#474C22×C1911yescharacteristic
931#470C22×C1911yescharacteristic
932#469C22×C1911yescharacteristic
933#468C22×C1911yescharacteristic
934#468C22×C1911yescharacteristic
935#468C22×C1911yescharacteristic
936#468C22×C1911yescharacteristic
937#468C22×C1911yescharacteristic
938#468C22×C1911yescharacteristic
939#467C22×C1911yescharacteristic
940#467C22×C1911yescharacteristic
941#466C22×C1911yescharacteristic
942#466C22×C1911yescharacteristic
943#465C22×C1911yescharacteristic
944#465C22×C1911yescharacteristic
945#465C22×C1911yescharacteristic
946#465C22×C1911yescharacteristic
947#464C22×C1911yescharacteristic
948#464C22×C1911yescharacteristic
949#464C22×C1911yescharacteristic
950#464C22×C1911yescharacteristic
951#464C22×C1911yescharacteristic
952#464C22×C1911yescharacteristic
953#463C22×C1911yescharacteristic
954#463C22×C1911yescharacteristic
955#463C22×C1911yescharacteristic
956#463C22×C1911yescharacteristic
957#463C22×C1911yescharacteristic
958#463C22×C1911yescharacteristic
959#462C22×C1911yescharacteristic
960#461C22×C1911yescharacteristic
961#461C22×C1911yescharacteristic
962#461C22×C1911yescharacteristic
963#461C22×C1911yescharacteristic
964#461C22×C1911yescharacteristic
965#460C22×C1911yescharacteristic
966#460C22×C1911yescharacteristic
967#460C22×C1911yescharacteristic
968#460C22×C1911yescharacteristic
969#460C22×C1911yescharacteristic
970#459C22×C1911yescharacteristic
971#446C22×C1911yescharacteristic
972#446C22×C1911yescharacteristic
973#446C22×C1911yescharacteristic
974#446C22×C1911yescharacteristic
975#446C22×C1911yescharacteristic
976#446C22×C1911yescharacteristic
977#446C22×C1911yescharacteristic
978#446C22×C1911yescharacteristic
979#442C22×C1911yescharacteristic
980#442C22×C1911yescharacteristic
981#442C22×C1911yescharacteristic
982#441C22×C1911yescharacteristic
983#441C22×C1911yescharacteristic
984#441C22×C1911yescharacteristic
985#440C22×C1911yescharacteristic
986#440C22×C1911yescharacteristic
987#440C22×C1911yescharacteristic
988#440C22×C1911yescharacteristic
989#440C22×C1911yescharacteristic
990#440C22×C1911yescharacteristic
991#440C22×C1911yescharacteristic
992#440C22×C1911yescharacteristic
993#440C22×C1911yescharacteristic
994#440C22×C1911yescharacteristic
995C4×Q16C22×C1911yescharacteristic
996C4×Q16C22×C1911yescharacteristic
997C4×SD16C22×C1911yescharacteristic
998C4×SD16C22×C1911yescharacteristic
999C4×SD16C22×C1911yescharacteristic
1000C4×SD16C22×C1911yescharacteristic
1001C4×D8C22×C1911yescharacteristic
1002C4×D8C22×C1911yescharacteristic
1003#424C22×C1911yescharacteristic
1004#424C22×C1911yescharacteristic
1005#423C22×C1911yescharacteristic
1006#405C22×C1911yescharacteristic
1007#405C22×C1911yescharacteristic
1008C2×#97C22×C1911yescharacteristic
1009C2×C19—41no—
1010C2×C19—81no—
1011C2×C19—81no—
1012C2×C19—81no—
1013C2×C19—81no—
1014C2×C19#349711yescharacteristic
1015C2×C19#358511yescharacteristic
1016C2×C19#358611yescharacteristic
1017C2×#41—21no—
1018C2×#41—21no—
1019C22×Q8—21no—
1020C2×Q16C23×C1911yescharacteristic
1021C2×Q16C23×C1911yescharacteristic
1022C2×Q16C23×C1911yescharacteristic
1023C2×SD16C23×C1911yescharacteristic
1024C2×SD16C23×C1911yescharacteristic
1025C2×SD16C23×C1911yescharacteristic
1026C2×SD16C23×C1911yescharacteristic
1027C2×SD16C23×C1911yescharacteristic
1028C2×SD16C23×C1911yescharacteristic
1029C2×SD16C23×C1911yescharacteristic
1030C2×SD16C23×C1911yescharacteristic
1031C2×SD16C23×C1911yescharacteristic
1032C2×SD16C23×C1911yescharacteristic
1033C2×D8C23×C1911yescharacteristic
1034C2×D8C23×C1911yescharacteristic
1035C2×D8C23×C1911yescharacteristic
1036C2×M16C23×C1911yescharacteristic
1037C2×M16C23×C1911yescharacteristic
1038C22×C8C23×C1911yescharacteristic
1039C22×C8C23×C1911yescharacteristic
1040C4⋊Q8—21no—
1041C4⋊Q8—21no—
1042C4⋊Q8—21no—
1043C4⋊Q8—21no—
1044C4⋊Q8—21no—
1045C4⋊Q8—21no—
1046C4⋊Q8D4×C1911yescharacteristic
1047C4⋊Q8D4×C1911yescharacteristic
1048C4⋊Q8C23×C1911yescharacteristic
1049C4⋊Q8C23×C1911yescharacteristic
1050C4⋊Q8C23×C1911yescharacteristic
1051C4⋊Q8C23×C1911yescharacteristic
1052C4⋊Q8C23×C1911yescharacteristic
1053C4⋊Q8C23×C1911yescharacteristic
1054C4⋊Q8C23×C1911yescharacteristic
1055C4⋊Q8C23×C1911yescharacteristic
1056C4⋊Q8C23×C1911yescharacteristic
1057#127C23×C1911yescharacteristic
1058#127C23×C1911yescharacteristic
1059#127C23×C1911yescharacteristic
1060#126—21no—
1061#126—21no—
1062#126—21no—
1063#126—21no—
1064#126—21no—
1065#126—21no—
1066#126—21no—
1067#126—21no—
1068#126—21no—
1069#126—21no—
1070#126—21no—
1071#126—21no—
1072#126—21no—
1073#126—21no—
1074#126—21no—
1075#126—21no—
1076#125—21no—
1077#125—21no—
1078#125—21no—
1079#125—21no—
1080#125—21no—
1081#125—21no—
1082#125—21no—
1083#125—21no—
1084#125—21no—
1085#125—21no—
1086#125—21no—
1087#125—21no—
1088#125—21no—
1089#125—21no—
1090#125D4×C1911yescharacteristic
1091#125D4×C1911yescharacteristic
1092#125C23×C1911yescharacteristic
1093#125C23×C1911yescharacteristic
1094#125C23×C1911yescharacteristic
1095#125C23×C1911yescharacteristic
1096#125C23×C1911yescharacteristic
1097#125C23×C1911yescharacteristic
1098#124—21no—
1099#124—21no—
1100#124—21no—
1101#124—21no—
1102#124—21no—
1103#124—21no—
1104#124—21no—
1105#124—21no—
1106#124C23×C1911yescharacteristic
1107#124C23×C1911yescharacteristic
1108#124C23×C1911yescharacteristic
1109#124C23×C1911yescharacteristic
1110#124C23×C1911yescharacteristic
1111#124C23×C1911yescharacteristic
1112#123—21no—
1113#123—21no—
1114#123—21no—
1115#123—21no—
1116#123—21no—
1117#123—21no—
1118#123—21no—
1119#123—21no—
1120#123—21no—
1121#123—21no—
1122#123—21no—
1123#123—21no—
1124#123—21no—
1125#123—21no—
1126#123—21no—
1127#123—21no—
1128C22⋊Q8—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—21no—
1131C22⋊Q8—21no—
1132C22⋊Q8—21no—
1133C22⋊Q8—21no—
1134C22⋊Q8—21no—
1135C22⋊Q8—21no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—21no—
1139C22⋊Q8—21no—
1140C22⋊Q8—21no—
1141C22⋊Q8—21no—
1142C22⋊Q8—21no—
1143C22⋊Q8—21no—
1144C22⋊Q8—21no—
1145C22⋊Q8—21no—
1146C22⋊Q8—21no—
1147C22⋊Q8—21no—
1148C22⋊Q8D4×C1911yescharacteristic
1149C22⋊Q8D4×C1911yescharacteristic
1150C22⋊Q8D4×C1911yescharacteristic
1151C22⋊Q8D4×C1911yescharacteristic
1152C22⋊Q8C23×C1911yescharacteristic
1153C22⋊Q8C23×C1911yescharacteristic
1154C22⋊Q8C23×C1911yescharacteristic
1155C22⋊Q8C23×C1911yescharacteristic
1156#121—21no—
1157#121—21no—
1158#121—21no—
1159#121—21no—
1160#121—21no—
1161#121—21no—
1162#121—21no—
1163#121—21no—
1164#121C23×C1911yescharacteristic
1165#121C23×C1911yescharacteristic
1166#121C23×C1911yescharacteristic
1167#121C23×C1911yescharacteristic
1168C4×Q8—21no—
1169C4×Q8—21no—
1170C4×Q8—21no—
1171C4×Q8—21no—
1172C4×Q8—21no—
1173C4×Q8—21no—
1174C4×Q8C23×C1911yescharacteristic
1175C4×Q8C23×C1911yescharacteristic
1176C4×Q8C23×C1911yescharacteristic
1177C4×Q8C23×C1911yescharacteristic
1178C4×Q8C23×C1911yescharacteristic
1179C4×Q8C23×C1911yescharacteristic
1180C4×Q8C23×C1911yescharacteristic
1181C4×Q8C23×C1911yescharacteristic
1182C4×Q8C23×C1911yescharacteristic
1183C4×Q8C23×C1911yescharacteristic
1184C4×Q8C23×C1911yescharacteristic
1185C4×Q8C23×C1911yescharacteristic
1186C4×Q8C23×C1911yescharacteristic
1187C4×Q8C23×C1911yescharacteristic
1188C4×Q8C23×C1911yescharacteristic
1189C4×Q8C23×C1911yescharacteristic
1190C4×D4—21no—
1191C4×D4—21no—
1192C4×D4—21no—
1193C4×D4—21no—
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4C23×C1911yescharacteristic
1197C4×D4C23×C1911yescharacteristic
1198C4×D4C23×C1911yescharacteristic
1199C4×D4C23×C1911yescharacteristic
1200C4×D4C23×C1911yescharacteristic
1201C4×D4C23×C1911yescharacteristic
1202C4×D4C23×C1911yescharacteristic
1203C4×D4C23×C1911yescharacteristic
1204C4×D4C23×C1911yescharacteristic
1205C4×D4C23×C1911yescharacteristic
1206C4×D4C23×C1911yescharacteristic
1207C4×D4C23×C1911yescharacteristic
1208#117—21no—
1209#117—21no—
1210#117—21no—
1211#117—21no—
1212#117—21no—
1213#117—21no—
1214#117C23×C1911yescharacteristic
1215#117C23×C1911yescharacteristic
1216C2×C4⋊C4—21no—
1217C2×C4⋊C4—21no—
1218C2×C4⋊C4—21no—
1219C2×C42C23×C1911yescharacteristic
1220#107C23×C1911yescharacteristic
1221#107C23×C1911yescharacteristic
1222#107C23×C1911yescharacteristic
1223#107C23×C1911yescharacteristic
1224#107C23×C1911yescharacteristic
1225#107C23×C1911yescharacteristic
1226#107C23×C1911yescharacteristic
1227#107C23×C1911yescharacteristic
1228#107C23×C1911yescharacteristic
1229#107C23×C1911yescharacteristic
1230#106C23×C1911yescharacteristic
1231#106C23×C1911yescharacteristic
1232#106C23×C1911yescharacteristic
1233#106C23×C1911yescharacteristic
1234#106C23×C1911yescharacteristic
1235#106C23×C1911yescharacteristic
1236C4⋊C8C23×C1911yescharacteristic
1237C4⋊C8C23×C1911yescharacteristic
1238C4⋊C8C23×C1911yescharacteristic
1239C4⋊C8C23×C1911yescharacteristic
1240C4⋊C8C23×C1911yescharacteristic
1241C4⋊C8C23×C1911yescharacteristic
1242C4⋊C8C23×C1911yescharacteristic
1243C4⋊C8C23×C1911yescharacteristic
1244C4⋊C8C23×C1911yescharacteristic
1245C4⋊C8C23×C1911yescharacteristic
1246C4⋊C8C23×C1911yescharacteristic
1247C4⋊C8C23×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#103C23×C1911yescharacteristic
1261#103C23×C1911yescharacteristic
1262#103C23×C1911yescharacteristic
1263#103C23×C1911yescharacteristic
1264#102C23×C1911yescharacteristic
1265#102C23×C1911yescharacteristic
1266#102C23×C1911yescharacteristic
1267#102C23×C1911yescharacteristic
1268#102C23×C1911yescharacteristic
1269#102C23×C1911yescharacteristic
1270#102C23×C1911yescharacteristic
1271#102C23×C1911yescharacteristic
1272#102C23×C1911yescharacteristic
1273#102C23×C1911yescharacteristic
1274#102C23×C1911yescharacteristic
1275#102C23×C1911yescharacteristic
1276#102C23×C1911yescharacteristic
1277#102C23×C1911yescharacteristic
1278#102C23×C1911yescharacteristic
1279#102C23×C1911yescharacteristic
1280#97C23×C1911yescharacteristic
1281#97C23×C1911yescharacteristic
1282#97C23×C1911yescharacteristic
1283#97C23×C1911yescharacteristic
1284#97C23×C1911yescharacteristic
1285#97C23×C1911yescharacteristic
1286#97C23×C1911yescharacteristic
1287#97C23×C1911yescharacteristic
1288C4×C8C23×C1911yescharacteristic
1289C4×C8C23×C1911yescharacteristic
1290C4×C8C23×C1911yescharacteristic
1291C4×C8C23×C1911yescharacteristic
1292C19#6239011yescharacteristic, direct product factor, Sylow
1293#41—82no—
1294#41—82no—
1295C2×Q8—21no—
1296C2×Q8—21no—
1297C2×Q8—21no—
1298C2×Q8—21no—
1299C2×Q8—21no—
1300C2×Q8—21no—
1301C2×Q8—82no—
1302C2×Q8C2×D4×C1911yescharacteristic
1303C2×Q8C2×D4×C1911yescharacteristic
1304C2×Q8C2×D4×C1911yescharacteristic
1305C2×Q8C2×D4×C1911yescharacteristic
1306C2×Q8C24×C1911yescharacteristic
1307C2×Q8C24×C1911yescharacteristic
1308C2×Q8C24×C1911yescharacteristic
1309C2×Q8C24×C1911yescharacteristic
1310C2×D4—21no—
1311C2×D4—21no—
1312C2×D4—21no—
1313C2×D4—21no—
1314C2×D4—21no—
1315C2×D4—21no—
1316C2×D4—21no—
1317C2×D4—21no—
1318C2×D4—21no—
1319C2×D4—21no—
1320C2×D4C24×C1911yescharacteristic
1321C2×D4C24×C1911yescharacteristic
1322C2×D4C24×C1911yescharacteristic
1323C2×D4C24×C1911yescharacteristic
1324C22×C4—21no—
1325C22×C4—21no—
1326C22×C4—21no—
1327C22×C4—21no—
1328C22×C4—21no—
1329C22×C4—21no—
1330C22×C4—21no—
1331C22×C4—21no—
1332C22×C4—21no—
1333C22×C4—21no—
1334C22×C4—21no—
1335C22×C4—21no—
1336C22×C4C2×D4×C1911yescharacteristic
1337C22×C4C2×D4×C1911yescharacteristic
1338C22×C4C24×C1911yescharacteristic
1339Q16—22no—
1340Q16—41no—
1341Q16—41no—
1342SD16—22no—
1343SD16—22no—
1344SD16—41no—
1345SD16—41no—
1346SD16—41no—
1347SD16—41no—
1348SD16—41no—
1349SD16—41no—
1350SD16—41no—
1351SD16—41no—
1352D8—22no—
1353D8—41no—
1354D8—41no—
1355M16—41no—
1356M16—41no—
1357C2×C8—22no—
1358C2×C8—41no—
1359C2×C8C24×C1911yescharacteristic
1360C2×C8C24×C1911yescharacteristic
1361C2×C8C24×C1911yescharacteristic
1362C2×C8C24×C1911yescharacteristic
1363C2×C8C24×C1911yescharacteristic
1364C2×C8C24×C1911yescharacteristic
1365C2×C8C24×C1911yescharacteristic
1366C2×C8C24×C1911yescharacteristic
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⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
1406C4⋊C4—21no—
1407C4⋊C4C2×D4×C1911yescharacteristic
1408C4⋊C4C2×D4×C1911yescharacteristic
1409C4⋊C4C2×D4×C1911yescharacteristic
1410C4⋊C4C2×D4×C1911yescharacteristic
1411C4⋊C4C2×D4×C1911yescharacteristic
1412C4⋊C4C2×D4×C1911yescharacteristic
1413C4⋊C4C2×D4×C1911yescharacteristic
1414C4⋊C4C2×D4×C1911yescharacteristic
1415C4⋊C4C2×D4×C1911yescharacteristic
1416C4⋊C4C2×D4×C1911yescharacteristic
1417C4⋊C4C2×D4×C1911yescharacteristic
1418C4⋊C4C2×D4×C1911yescharacteristic
1419C4⋊C4C2×D4×C1911yescharacteristic
1420C4⋊C4C2×D4×C1911yescharacteristic
1421C4⋊C4C2×D4×C1911yescharacteristic
1422C4⋊C4C2×D4×C1911yescharacteristic
1423C4⋊C4C24×C1911yescharacteristic
1424C4⋊C4C24×C1911yescharacteristic
1425C4⋊C4C24×C1911yescharacteristic
1426C4⋊C4C24×C1911yescharacteristic
1427C4⋊C4C24×C1911yescharacteristic
1428C4⋊C4C24×C1911yescharacteristic
1429C4⋊C4C24×C1911yescharacteristic
1430C4⋊C4C24×C1911yescharacteristic
1431C22⋊C4—21no—
1432C22⋊C4—21no—
1433C22⋊C4—21no—
1434C22⋊C4—21no—
1435C22⋊C4—21no—
1436C22⋊C4—21no—
1437C22⋊C4—21no—
1438C22⋊C4—21no—
1439C22⋊C4—21no—
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—21no—
1445C22⋊C4—21no—
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4C2×D4×C1911yescharacteristic
1464C22⋊C4C2×D4×C1911yescharacteristic
1465C22⋊C4C2×D4×C1911yescharacteristic
1466C22⋊C4C2×D4×C1911yescharacteristic
1467C42—21no—
1468C42—21no—
1469C42—21no—
1470C42—21no—
1471C42—21no—
1472C42—21no—
1473C42—21no—
1474C42—21no—
1475C42—21no—
1476C42—21no—
1477C42—21no—
1478C42—21no—
1479C42C2×D4×C1911yescharacteristic
1480C42C2×D4×C1911yescharacteristic
1481C42C24×C1911yescharacteristic
1482C42C24×C1911yescharacteristic
1483C42C24×C1911yescharacteristic
1484C42C24×C1911yescharacteristic
1485C42C24×C1911yescharacteristic
1486C42C24×C1911yescharacteristic
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23C22×D4×C1911yescharacteristic
1492Q8—21no—
1493Q8—21no—
1494Q8—21no—
1495Q8—21no—
1496Q8—21no—
1497Q8—21no—
1498Q8—21no—
1499Q8—21no—
1500Q8—41no—
1501Q8—41no—
1502Q8—41no—
1503Q8—41no—
1504Q8—42no—
1505Q8—81no—
1506Q8—81no—
1507Q8—81no—
1508Q8—81no—
1509Q8—81no—
1510D4—21no—
1511D4—21no—
1512D4—21no—
1513D4—21no—
1514D4—21no—
1515D4—21no—
1516D4—21no—
1517D4—21no—
1518D4—42no—
1519D4—81no—
1520D4—81no—
1521D4—81no—
1522D4—81no—
1523D4—81no—
1524D4—81no—
1525D4—81no—
1526D4—81no—
1527D4—81no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—41no—
1543C2×C4—41no—
1544C2×C4—42no—
1545C2×C4—42no—
1546C2×C4—81no—
1547C2×C4—81no—
1548C2×C4—81no—
1549C2×C4—81no—
1550C2×C4—81no—
1551C2×C4—81no—
1552C2×C4—81no—
1553C2×C4—81no—
1554C2×C4—81no—
1555C2×C4—81no—
1556C2×C4C22×D4×C1911yescharacteristic
1557C2×C4C22×D4×C1911yescharacteristic
1558C2×C4C22×D4×C1911yescharacteristic
1559C2×C4C22×D4×C1911yescharacteristic
1560C2×C4C22×D4×C1911yescharacteristic
1561C2×C4C22×D4×C1911yescharacteristic
1562C2×C4C22×D4×C1911yescharacteristic
1563C2×C4C22×D4×C1911yescharacteristic
1564C2×C4C22×D4×C1911yescharacteristic
1565C2×C4C22×D4×C1911yescharacteristic
1566C2×C4C22×D4×C1911yescharacteristic
1567C2×C4C22×D4×C1911yescharacteristic
1568C2×C4C22×D4×C1911yescharacteristic
1569C2×C4C25×C1911yescharacteristic
1570C8—21no—
1571C8—21no—
1572C8—21no—
1573C8—21no—
1574C8—21no—
1575C8—21no—
1576C8—21no—
1577C8C19×2−1+412yes—
1578C22—21no—
1579C22—21no—
1580C22—21no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22C23×D4×C1911yescharacteristic
1594C4—21no—
1595C4—21no—
1596C4—21no—
1597C4—21no—
1598C4—21no—
1599C4—21no—
1600C4—21no—
1601C4—21no—
1602C4—21no—
1603C4—21no—
1604C4—21no—
1605C4—21no—
1606C4—21no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—41no—
1614C4—41no—
1615C4—41no—
1616C4—41no—
1617C4—41no—
1618C4—41no—
1619C4C2×C19×2−1+411yescharacteristic
1620C4C19×#58511yescharacteristic
1621C2—41no—
1622C2—81no—
1623C2—81no—
1624C2—81no—
1625C2—81no—
1626C2C19×#349711yescharacteristic
1627C2C19×#358511yescharacteristic
1628C2C19×#358611yescharacteristic
subgroupG/H
center, socleC22×C19C23×D4
commutator, Frattini, cosocleC2×C4C25×C19
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×#3554C2semidirect
3. C19×#3401C2semidirect
4. C19×#3401C2semidirect
5. C19×#3400C2semidirect
6. C19×#3397C2semidirect
7. C19×#3390C2semidirect
8. C19×#3389C2semidirect
9. C19×#3386C2semidirect
10. C19×#3385C2semidirect
11. C19×#3377C2semidirect
12. C19×#3376C2semidirect
13. C19×#3375C2semidirect
14. C19×#3372C2semidirect
15. C19×#3371C2semidirect
16. C19×#3370C2semidirect
17. C19×#3368C2semidirect
18. C19×#3367C2semidirect
19. C19×#3262C2semidirect
20. C19×#3260C2semidirect
21. C19×#3258C2semidirect
22. C19×#3257C2semidirect
23. C19×#3256C2semidirect
24. C19×#3254C2semidirect
25. C19×#3181C2semidirect
26. C19×#3180C2semidirect
27. C19×#3179C2semidirect
28. C19×#3178C2semidirect
29. C19×#3175C2semidirect
30. C19×#3174C2semidirect
31. C19×#2961C2semidirect
672. #62390C19direct (N × H)
764. #3555C2×C19semidirect
765. #3554C2×C19semidirect
766. #3401C2×C19semidirect
767. #3401C2×C19semidirect
768. #3400C2×C19semidirect
769. #3397C2×C19semidirect
770. #3390C2×C19semidirect
771. #3389C2×C19semidirect
772. #3386C2×C19semidirect
773. #3385C2×C19semidirect
774. #3377C2×C19semidirect
775. #3376C2×C19semidirect
776. #3375C2×C19semidirect
777. #3372C2×C19semidirect
778. #3371C2×C19semidirect
779. #3370C2×C19semidirect
780. #3368C2×C19semidirect
781. #3367C2×C19semidirect
782. #3262C2×C19semidirect
783. #3260C2×C19semidirect
784. #3258C2×C19semidirect
785. #3257C2×C19semidirect
786. #3256C2×C19semidirect
787. #3254C2×C19semidirect
788. #3181C2×C19semidirect
789. #3180C2×C19semidirect
790. #3179C2×C19semidirect
791. #3178C2×C19semidirect
792. #3175C2×C19semidirect
793. #3174C2×C19semidirect
794. #2961C2×C19semidirect
1292. C19#62390direct (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×#35542
C19×#34012
C19×#34002
C19×#33972
C19×#33902
C19×#33892
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