Finite Group Databasebeta

← C83×#61879 #35289703

Subgroups — C83×#61879 #35289703

Order 21248.

1656 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C83×#3557C211yesmaximal, characteristic, complemented
2C83×#3503C211yesmaximal, characteristic, complemented
3C83×#3390C211yesmaximal, characteristic, complemented
4C83×#3389C211yesmaximal, characteristic, complemented
5C83×#3388C211yesmaximal, characteristic, complemented
6C83×#3388C211yesmaximal, characteristic, complemented
7C83×#3387C211yesmaximal, characteristic, complemented
8C83×#3386C211yesmaximal, characteristic, complemented
9C83×#3385C211yesmaximal, characteristic, complemented
10C83×#3384C211yesmaximal, characteristic, complemented
11C83×#3377C211yesmaximal, characteristic, complemented
12C83×#3376C211yesmaximal, characteristic, complemented
13C83×#3375C211yesmaximal, characteristic, complemented
14C83×#3373C211yesmaximal, characteristic, complemented
15C83×#3371C211yesmaximal, characteristic, complemented
16C83×#3370C211yesmaximal, characteristic, complemented
17C83×#3369C211yesmaximal, characteristic, complemented
18C83×#3367C211yesmaximal, characteristic, complemented
19C83×#3244C211yesmaximal, characteristic, complemented
20C83×#3243C211yesmaximal, characteristic, complemented
21C83×#3242C211yesmaximal, characteristic, complemented
22C83×#3241C211yesmaximal, characteristic, complemented
23C83×#3239C211yesmaximal, characteristic, complemented
24C83×#3238C211yesmaximal, characteristic, complemented
25C83×#3125C211yesmaximal, characteristic, complemented
26C83×#3124C211yesmaximal, characteristic, complemented
27C83×#3120C211yesmaximal, characteristic, complemented
28C83×#3119C211yesmaximal, characteristic
29C83×#3111C211yesmaximal, characteristic, complemented
30C83×#3111C211yesmaximal, characteristic, complemented
31C83×#2987C211yesmaximal, characteristic, complemented
32#563×C83—21no—
33#563×C83—21no—
34#559×C83C2211yescharacteristic
35#559×C83C2211yescharacteristic
36Q82×C83C2211yescharacteristic
37Q82×C83C2211yescharacteristic
38#557×C83C2211yescharacteristic
39#557×C83C2211yescharacteristic
40#557×C83C2211yescharacteristic
41#557×C83C2211yescharacteristic
42#556×C83C2211yescharacteristic
43#556×C83C2211yescharacteristic
44#554×C83—21no—
45#554×C83—21no—
46#554×C83C2211yescharacteristic
47#554×C83C2211yescharacteristic
48#554×C83C2211yescharacteristic
49#554×C83C2211yescharacteristic
50#552×C83—21no—
51#552×C83—21no—
52D4×Q8×C83—21no—
53D4×Q8×C83—21no—
54D4×Q8×C83C2211yescharacteristic
55D4×Q8×C83C2211yescharacteristic
56#544×C83—21no—
57#544×C83—21no—
58#544×C83C2211yescharacteristic
59#544×C83C2211yescharacteristic
60#542×C83—21no—
61#542×C83—21no—
62#542×C83C2211yescharacteristic
63#542×C83C2211yescharacteristic
64#541×C83C2211yescharacteristic
65#540×C83C2211yescharacteristic
66#539×C83—21no—
67#539×C83—21no—
68#533×C83—21no—
69#533×C83C2211yescharacteristic
70C2×C4⋊Q8×C83—21no—
71C2×C4⋊Q8×C83C2211yescharacteristic
72#529×C83C2211yescharacteristic
73#529×C83C2211yescharacteristic
74#520×C83C2211yescharacteristic
75#520×C83C2211yescharacteristic
76C4×#41×C83C2211yescharacteristic
77#501×C83C2211yescharacteristic
78#501×C83C2211yescharacteristic
79#501×C83C2211yescharacteristic
80#501×C83C2211yescharacteristic
81#501×C83C2211yescharacteristic
82#501×C83C2211yescharacteristic
83#501×C83C2211yescharacteristic
84#501×C83C2211yescharacteristic
85#500×C83C2211yescharacteristic
86#499×C83C2211yescharacteristic
87#499×C83C2211yescharacteristic
88#498×C83C2211yescharacteristic
89#491×C83C2211yescharacteristic
90#490×C83C2211yescharacteristic
91#489×C83C2211yescharacteristic
92#489×C83C2211yescharacteristic
93#489×C83C2211yescharacteristic
94#489×C83C2211yescharacteristic
95#489×C83C2211yescharacteristic
96#489×C83C2211yescharacteristic
97#488×C83C2211yescharacteristic
98#488×C83C2211yescharacteristic
99#487×C83C2211yescharacteristic
100#486×C83C2211yescharacteristic
101#485×C83C2211yescharacteristic
102#485×C83C2211yescharacteristic
103#484×C83C2211yescharacteristic
104#484×C83C2211yescharacteristic
105#483×C83C2211yescharacteristic
106#483×C83C2211yescharacteristic
107#482×C83C2211yescharacteristic
108#482×C83C2211yescharacteristic
109#481×C83C2211yescharacteristic
110#481×C83C2211yescharacteristic
111#480×C83C2211yescharacteristic
112#480×C83C2211yescharacteristic
113#479×C83C2211yescharacteristic
114#479×C83C2211yescharacteristic
115#479×C83C2211yescharacteristic
116#479×C83C2211yescharacteristic
117#479×C83C2211yescharacteristic
118#479×C83C2211yescharacteristic
119#479×C83C2211yescharacteristic
120#479×C83C2211yescharacteristic
121#478×C83C2211yescharacteristic
122#478×C83C2211yescharacteristic
123#478×C83C2211yescharacteristic
124#478×C83C2211yescharacteristic
125#478×C83C2211yescharacteristic
126#478×C83C2211yescharacteristic
127#478×C83C2211yescharacteristic
128#478×C83C2211yescharacteristic
129#477×C83C2211yescharacteristic
130#477×C83C2211yescharacteristic
131#477×C83C2211yescharacteristic
132#477×C83C2211yescharacteristic
133#477×C83C2211yescharacteristic
134#476×C83C2211yescharacteristic
135#476×C83C2211yescharacteristic
136#476×C83C2211yescharacteristic
137#476×C83C2211yescharacteristic
138#476×C83C2211yescharacteristic
139#475×C83C2211yescharacteristic
140#475×C83C2211yescharacteristic
141#475×C83C2211yescharacteristic
142#475×C83C2211yescharacteristic
143#475×C83C2211yescharacteristic
144#474×C83C2211yescharacteristic
145#474×C83C2211yescharacteristic
146#474×C83C2211yescharacteristic
147#474×C83C2211yescharacteristic
148#474×C83C2211yescharacteristic
149#464×C83C2211yescharacteristic
150#464×C83C2211yescharacteristic
151#464×C83C2211yescharacteristic
152#464×C83C2211yescharacteristic
153#463×C83C2211yescharacteristic
154#463×C83C2211yescharacteristic
155#463×C83C2211yescharacteristic
156#463×C83C2211yescharacteristic
157#462×C83C2211yescharacteristic
158#461×C83C2211yescharacteristic
159#460×C83C2211yescharacteristic
160#459×C83C2211yescharacteristic
161#452×C83C2211yescharacteristic
162#452×C83C2211yescharacteristic
163#449×C83C2211yescharacteristic
164#449×C83C2211yescharacteristic
165#446×C83C2211yescharacteristic
166#446×C83C2211yescharacteristic
167#446×C83C2211yescharacteristic
168#446×C83C2211yescharacteristic
169#446×C83C2211yescharacteristic
170#446×C83C2211yescharacteristic
171#446×C83C2211yescharacteristic
172#446×C83C2211yescharacteristic
173#442×C83C2211yescharacteristic
174#442×C83C2211yescharacteristic
175#442×C83C2211yescharacteristic
176#442×C83C2211yescharacteristic
177#441×C83C2211yescharacteristic
178#441×C83C2211yescharacteristic
179#441×C83C2211yescharacteristic
180#441×C83C2211yescharacteristic
181#440×C83C2211yescharacteristic
182#440×C83C2211yescharacteristic
183#440×C83C2211yescharacteristic
184#440×C83C2211yescharacteristic
185#440×C83C2211yescharacteristic
186#440×C83C2211yescharacteristic
187#440×C83C2211yescharacteristic
188#440×C83C2211yescharacteristic
189C4×Q16×C83C2211yescharacteristic
190C4×Q16×C83C2211yescharacteristic
191C4×SD16×C83C2211yescharacteristic
192C4×SD16×C83C2211yescharacteristic
193C4×SD16×C83C2211yescharacteristic
194C4×SD16×C83C2211yescharacteristic
195C4×D8×C83C2211yescharacteristic
196C4×D8×C83C2211yescharacteristic
197#433×C83C2211yescharacteristic
198#433×C83C2211yescharacteristic
199#433×C83C2211yescharacteristic
200#433×C83C2211yescharacteristic
201#432×C83C2211yescharacteristic
202#432×C83C2211yescharacteristic
203C2×#41×C83C2311yescharacteristic
204C22×Q8×C83—21no—
205C22×Q8×C83—21no—
206C22×Q8×C83—21no—
207C2×Q16×C83C2311yescharacteristic
208C2×Q16×C83C2311yescharacteristic
209C2×SD16×C83C2311yescharacteristic
210C2×SD16×C83C2311yescharacteristic
211C2×SD16×C83C2311yescharacteristic
212C2×SD16×C83C2311yescharacteristic
213C2×D8×C83C2311yescharacteristic
214C2×D8×C83C2311yescharacteristic
215C4⋊Q8×C83—21no—
216C4⋊Q8×C83—21no—
217C4⋊Q8×C83—21no—
218C4⋊Q8×C83—21no—
219C4⋊Q8×C83—21no—
220C4⋊Q8×C83—21no—
221C4⋊Q8×C83—21no—
222C4⋊Q8×C83—21no—
223C4⋊Q8×C83—21no—
224C4⋊Q8×C83—21no—
225C4⋊Q8×C83—21no—
226C4⋊Q8×C83—21no—
227C4⋊Q8×C83—21no—
228C4⋊Q8×C83—21no—
229C4⋊Q8×C83D411yescharacteristic
230C4⋊Q8×C83D411yescharacteristic
231C4⋊Q8×C83C2311yescharacteristic
232C4⋊Q8×C83C2311yescharacteristic
233C4⋊Q8×C83C2311yescharacteristic
234C4⋊Q8×C83C2311yescharacteristic
235C4⋊Q8×C83C2311yescharacteristic
236C4⋊Q8×C83C2311yescharacteristic
237C4⋊Q8×C83C2311yescharacteristic
238C4⋊Q8×C83C2311yescharacteristic
239C4⋊Q8×C83C2311yescharacteristic
240C4⋊Q8×C83C2311yescharacteristic
241C4⋊Q8×C83C2311yescharacteristic
242#127×C83C2311yescharacteristic
243#126×C83—21no—
244#126×C83—21no—
245#126×C83—21no—
246#126×C83—21no—
247#126×C83—21no—
248#126×C83—21no—
249#126×C83—21no—
250#126×C83—21no—
251#126×C83—21no—
252#126×C83—21no—
253#125×C83—21no—
254#125×C83—21no—
255#125×C83—21no—
256#125×C83—21no—
257#125×C83—21no—
258#125×C83—21no—
259#125×C83—21no—
260#125×C83—21no—
261#125×C83—21no—
262#125×C83—21no—
263#125×C83—21no—
264#125×C83—21no—
265#125×C83D411yescharacteristic
266#125×C83D411yescharacteristic
267#125×C83C2311yescharacteristic
268#125×C83C2311yescharacteristic
269#125×C83C2311yescharacteristic
270#125×C83C2311yescharacteristic
271#125×C83C2311yescharacteristic
272#125×C83C2311yescharacteristic
273#125×C83C2311yescharacteristic
274#125×C83C2311yescharacteristic
275#124×C83—21no—
276#124×C83—21no—
277#124×C83—21no—
278#124×C83—21no—
279#124×C83C2311yescharacteristic
280#124×C83C2311yescharacteristic
281#124×C83C2311yescharacteristic
282#124×C83C2311yescharacteristic
283#123×C83—21no—
284#123×C83—21no—
285#123×C83—21no—
286#123×C83—21no—
287#123×C83—21no—
288#123×C83—21no—
289#123×C83—21no—
290#123×C83—21no—
291#123×C83—21no—
292#123×C83—21no—
293C22⋊Q8×C83—21no—
294C22⋊Q8×C83—21no—
295C22⋊Q8×C83—21no—
296C22⋊Q8×C83—21no—
297C22⋊Q8×C83—21no—
298C22⋊Q8×C83—21no—
299C22⋊Q8×C83—21no—
300C22⋊Q8×C83—21no—
301C22⋊Q8×C83—21no—
302C22⋊Q8×C83—21no—
303C22⋊Q8×C83—21no—
304C22⋊Q8×C83—21no—
305C22⋊Q8×C83—21no—
306C22⋊Q8×C83—21no—
307C22⋊Q8×C83—21no—
308C22⋊Q8×C83—21no—
309C22⋊Q8×C83—21no—
310C22⋊Q8×C83—21no—
311C22⋊Q8×C83—21no—
312C22⋊Q8×C83—21no—
313C22⋊Q8×C83—21no—
314C22⋊Q8×C83—21no—
315C22⋊Q8×C83—21no—
316C22⋊Q8×C83—21no—
317C22⋊Q8×C83—21no—
318C22⋊Q8×C83—21no—
319C22⋊Q8×C83D411yescharacteristic
320C22⋊Q8×C83D411yescharacteristic
321C22⋊Q8×C83D411yescharacteristic
322C22⋊Q8×C83D411yescharacteristic
323C22⋊Q8×C83C2311yescharacteristic
324C22⋊Q8×C83C2311yescharacteristic
325#121×C83—21no—
326#121×C83—21no—
327#121×C83C2311yescharacteristic
328#121×C83C2311yescharacteristic
329C4×Q8×C83—21no—
330C4×Q8×C83—21no—
331C4×Q8×C83—21no—
332C4×Q8×C83—21no—
333C4×Q8×C83—21no—
334C4×Q8×C83—21no—
335C4×Q8×C83C2311yescharacteristic
336C4×Q8×C83C2311yescharacteristic
337C4×Q8×C83C2311yescharacteristic
338C4×Q8×C83C2311yescharacteristic
339C4×Q8×C83C2311yescharacteristic
340C4×Q8×C83C2311yescharacteristic
341C4×Q8×C83C2311yescharacteristic
342C4×Q8×C83C2311yescharacteristic
343C4×Q8×C83C2311yescharacteristic
344C4×Q8×C83C2311yescharacteristic
345C4×Q8×C83C2311yescharacteristic
346C4×Q8×C83C2311yescharacteristic
347C4×Q8×C83C2311yescharacteristic
348C4×Q8×C83C2311yescharacteristic
349C4×Q8×C83C2311yescharacteristic
350C4×Q8×C83C2311yescharacteristic
351C4×D4×C83—21no—
352C4×D4×C83—21no—
353C4×D4×C83—21no—
354C4×D4×C83—21no—
355C4×D4×C83—21no—
356C4×D4×C83—21no—
357C4×D4×C83—21no—
358C4×D4×C83—21no—
359C4×D4×C83—21no—
360C4×D4×C83—21no—
361C4×D4×C83C2311yescharacteristic
362C4×D4×C83C2311yescharacteristic
363C4×D4×C83C2311yescharacteristic
364C4×D4×C83C2311yescharacteristic
365C4×D4×C83C2311yescharacteristic
366C4×D4×C83C2311yescharacteristic
367C4×D4×C83C2311yescharacteristic
368C4×D4×C83C2311yescharacteristic
369C4×D4×C83C2311yescharacteristic
370C4×D4×C83C2311yescharacteristic
371C4×D4×C83C2311yescharacteristic
372C4×D4×C83C2311yescharacteristic
373#117×C83—21no—
374#117×C83—21no—
375#117×C83—21no—
376#117×C83—21no—
377#117×C83—21no—
378#117×C83—21no—
379#117×C83—21no—
380#117×C83C2311yescharacteristic
381#117×C83C2311yescharacteristic
382#117×C83C2311yescharacteristic
383C2×C4⋊C4×C83—21no—
384C2×C4⋊C4×C83—21no—
385C2×C4⋊C4×C83—21no—
386C2×C4⋊C4×C83—21no—
387C2×C4⋊C4×C83—21no—
388C2×C4⋊C4×C83—21no—
389C2×C4⋊C4×C83—21no—
390C2×C4⋊C4×C83C2311yescharacteristic
391C2×C4⋊C4×C83C2311yescharacteristic
392C2×C42×C83—21no—
393C2×C42×C83C2311yescharacteristic
394#107×C83C2311yescharacteristic
395#107×C83C2311yescharacteristic
396#107×C83C2311yescharacteristic
397#107×C83C2311yescharacteristic
398#107×C83C2311yescharacteristic
399#107×C83C2311yescharacteristic
400#107×C83C2311yescharacteristic
401#107×C83C2311yescharacteristic
402#107×C83C2311yescharacteristic
403#107×C83C2311yescharacteristic
404#107×C83C2311yescharacteristic
405#107×C83C2311yescharacteristic
406#106×C83C2311yescharacteristic
407#106×C83C2311yescharacteristic
408#106×C83C2311yescharacteristic
409#106×C83C2311yescharacteristic
410#106×C83C2311yescharacteristic
411#106×C83C2311yescharacteristic
412#106×C83C2311yescharacteristic
413#106×C83C2311yescharacteristic
414#106×C83C2311yescharacteristic
415#106×C83C2311yescharacteristic
416#106×C83C2311yescharacteristic
417#106×C83C2311yescharacteristic
418C4⋊C8×C83C2311yescharacteristic
419C4⋊C8×C83C2311yescharacteristic
420C4⋊C8×C83C2311yescharacteristic
421C4⋊C8×C83C2311yescharacteristic
422C4⋊C8×C83C2311yescharacteristic
423C4⋊C8×C83C2311yescharacteristic
424C4⋊C8×C83C2311yescharacteristic
425C4⋊C8×C83C2311yescharacteristic
426C4⋊C8×C83C2311yescharacteristic
427C4⋊C8×C83C2311yescharacteristic
428C4⋊C8×C83C2311yescharacteristic
429C4⋊C8×C83C2311yescharacteristic
430#103×C83C2311yescharacteristic
431#103×C83C2311yescharacteristic
432#103×C83C2311yescharacteristic
433#103×C83C2311yescharacteristic
434#103×C83C2311yescharacteristic
435#103×C83C2311yescharacteristic
436#103×C83C2311yescharacteristic
437#103×C83C2311yescharacteristic
438#103×C83C2311yescharacteristic
439#103×C83C2311yescharacteristic
440#103×C83C2311yescharacteristic
441#103×C83C2311yescharacteristic
442#103×C83C2311yescharacteristic
443#103×C83C2311yescharacteristic
444#103×C83C2311yescharacteristic
445#103×C83C2311yescharacteristic
446#102×C83C2311yescharacteristic
447#102×C83C2311yescharacteristic
448#102×C83C2311yescharacteristic
449#102×C83C2311yescharacteristic
450#102×C83C2311yescharacteristic
451#102×C83C2311yescharacteristic
452#102×C83C2311yescharacteristic
453#102×C83C2311yescharacteristic
454#102×C83C2311yescharacteristic
455#102×C83C2311yescharacteristic
456#102×C83C2311yescharacteristic
457#102×C83C2311yescharacteristic
458#102×C83C2311yescharacteristic
459#102×C83C2311yescharacteristic
460#102×C83C2311yescharacteristic
461#102×C83C2311yescharacteristic
462C22⋊C8×C83C2311yescharacteristic
463C22⋊C8×C83C2311yescharacteristic
464C22⋊C8×C83C2311yescharacteristic
465C22⋊C8×C83C2311yescharacteristic
466#97×C83C2311yescharacteristic
467#97×C83C2311yescharacteristic
468#97×C83C2311yescharacteristic
469#97×C83C2311yescharacteristic
470#97×C83C2311yescharacteristic
471#97×C83C2311yescharacteristic
472#97×C83C2311yescharacteristic
473#97×C83C2311yescharacteristic
474C4×C8×C83C2311yescharacteristic
475C4×C8×C83C2311yescharacteristic
476C4×C8×C83C2311yescharacteristic
477C4×C8×C83C2311yescharacteristic
478#41×C83—22no—
479#41×C83—22no—
480C2×Q8×C83—21no—
481C2×Q8×C83—21no—
482C2×Q8×C83—21no—
483C2×Q8×C83—21no—
484C2×Q8×C83—21no—
485C2×Q8×C83—21no—
486C2×Q8×C83—21no—
487C2×Q8×C83—21no—
488C2×Q8×C83—21no—
489C2×Q8×C83—21no—
490C2×Q8×C83—82no—
491C2×Q8×C83—82no—
492C2×Q8×C83—82no—
493C2×Q8×C83C2×D411yescharacteristic
494C2×Q8×C83C2×D411yescharacteristic
495C2×Q8×C83C2×D411yescharacteristic
496C2×Q8×C83C2×D411yescharacteristic
497C2×Q8×C83C2411yescharacteristic
498C2×Q8×C83C2411yescharacteristic
499C2×Q8×C83C2411yescharacteristic
500C2×D4×C83—21no—
501C2×D4×C83—21no—
502C2×D4×C83—21no—
503C2×D4×C83—21no—
504C2×D4×C83—21no—
505C2×D4×C83C2411yescharacteristic
506C2×D4×C83C2411yescharacteristic
507C2×D4×C83C2411yescharacteristic
508C22×C4×C83—21no—
509C22×C4×C83—21no—
510C22×C4×C83—21no—
511C22×C4×C83—21no—
512C22×C4×C83—21no—
513C22×C4×C83—21no—
514C22×C4×C83—21no—
515C22×C4×C83—21no—
516C22×C4×C83—21no—
517C22×C4×C83—21no—
518C22×C4×C83—21no—
519C22×C4×C83—21no—
520C22×C4×C83—21no—
521C22×C4×C83—21no—
522C22×C4×C83—21no—
523C22×C4×C83C2×D411yescharacteristic
524C22×C4×C83C2×D411yescharacteristic
525C22×C4×C83C2411yescharacteristic
526Q16×C83—22no—
527Q16×C83—22no—
528SD16×C83—22no—
529SD16×C83—22no—
530SD16×C83—22no—
531SD16×C83—22no—
532D8×C83—22no—
533D8×C83—22no—
534C2×C8×C83C2411yescharacteristic
535C2×C8×C83C2411yescharacteristic
536C2×C8×C83C2411yescharacteristic
537C2×C8×C83C2411yescharacteristic
538C2×C8×C83C2411yescharacteristic
539C2×C8×C83C2411yescharacteristic
540C2×C8×C83C2411yescharacteristic
541C2×C8×C83C2411yescharacteristic
542C4⋊C4×C83—21no—
543C4⋊C4×C83—21no—
544C4⋊C4×C83—21no—
545C4⋊C4×C83—21no—
546C4⋊C4×C83—21no—
547C4⋊C4×C83—21no—
548C4⋊C4×C83—21no—
549C4⋊C4×C83—21no—
550C4⋊C4×C83—21no—
551C4⋊C4×C83—21no—
552C4⋊C4×C83—21no—
553C4⋊C4×C83—21no—
554C4⋊C4×C83—21no—
555C4⋊C4×C83—21no—
556C4⋊C4×C83—21no—
557C4⋊C4×C83—21no—
558C4⋊C4×C83—21no—
559C4⋊C4×C83—21no—
560C4⋊C4×C83—21no—
561C4⋊C4×C83—21no—
562C4⋊C4×C83—21no—
563C4⋊C4×C83—21no—
564C4⋊C4×C83—21no—
565C4⋊C4×C83—21no—
566C4⋊C4×C83—21no—
567C4⋊C4×C83—21no—
568C4⋊C4×C83—21no—
569C4⋊C4×C83—21no—
570C4⋊C4×C83—21no—
571C4⋊C4×C83—21no—
572C4⋊C4×C83—21no—
573C4⋊C4×C83—21no—
574C4⋊C4×C83—21no—
575C4⋊C4×C83—21no—
576C4⋊C4×C83—21no—
577C4⋊C4×C83—21no—
578C4⋊C4×C83—21no—
579C4⋊C4×C83—21no—
580C4⋊C4×C83—21no—
581C4⋊C4×C83—21no—
582C4⋊C4×C83—21no—
583C4⋊C4×C83—21no—
584C4⋊C4×C83—21no—
585C4⋊C4×C83—21no—
586C4⋊C4×C83C2×D411yescharacteristic
587C4⋊C4×C83C2×D411yescharacteristic
588C4⋊C4×C83C2×D411yescharacteristic
589C4⋊C4×C83C2×D411yescharacteristic
590C4⋊C4×C83C2×D411yescharacteristic
591C4⋊C4×C83C2×D411yescharacteristic
592C4⋊C4×C83C2×D411yescharacteristic
593C4⋊C4×C83C2×D411yescharacteristic
594C4⋊C4×C83C2×D411yescharacteristic
595C4⋊C4×C83C2×D411yescharacteristic
596C4⋊C4×C83C2×D411yescharacteristic
597C4⋊C4×C83C2×D411yescharacteristic
598C4⋊C4×C83C2×D411yescharacteristic
599C4⋊C4×C83C2×D411yescharacteristic
600C4⋊C4×C83C2×D411yescharacteristic
601C4⋊C4×C83C2×D411yescharacteristic
602C4⋊C4×C83C2411yescharacteristic
603C4⋊C4×C83C2411yescharacteristic
604C4⋊C4×C83C2411yescharacteristic
605C4⋊C4×C83C2411yescharacteristic
606C4⋊C4×C83C2411yescharacteristic
607C4⋊C4×C83C2411yescharacteristic
608C4⋊C4×C83C2411yescharacteristic
609C4⋊C4×C83C2411yescharacteristic
610C4⋊C4×C83C2411yescharacteristic
611C4⋊C4×C83C2411yescharacteristic
612C22⋊C4×C83—21no—
613C22⋊C4×C83—21no—
614C22⋊C4×C83—21no—
615C22⋊C4×C83—21no—
616C22⋊C4×C83—21no—
617C22⋊C4×C83—21no—
618C22⋊C4×C83—21no—
619C22⋊C4×C83—21no—
620C22⋊C4×C83—21no—
621C22⋊C4×C83—21no—
622C22⋊C4×C83—21no—
623C22⋊C4×C83—21no—
624C22⋊C4×C83—21no—
625C22⋊C4×C83—21no—
626C22⋊C4×C83—21no—
627C22⋊C4×C83—21no—
628C22⋊C4×C83—21no—
629C22⋊C4×C83—21no—
630C22⋊C4×C83—21no—
631C22⋊C4×C83—21no—
632C22⋊C4×C83—21no—
633C22⋊C4×C83—21no—
634C22⋊C4×C83—21no—
635C22⋊C4×C83—21no—
636C22⋊C4×C83—21no—
637C22⋊C4×C83C2×D411yescharacteristic
638C22⋊C4×C83C2×D411yescharacteristic
639C22⋊C4×C83C2×D411yescharacteristic
640C22⋊C4×C83C2×D411yescharacteristic
641C42×C83—21no—
642C42×C83—21no—
643C42×C83—21no—
644C42×C83—21no—
645C42×C83—21no—
646C42×C83—21no—
647C42×C83—21no—
648C42×C83—21no—
649C42×C83—21no—
650C42×C83—21no—
651C42×C83—21no—
652C42×C83—21no—
653C42×C83—21no—
654C42×C83C2×D411yescharacteristic
655C42×C83C2×D411yescharacteristic
656C42×C83C2411yescharacteristic
657C42×C83C2411yescharacteristic
658C42×C83C2411yescharacteristic
659C42×C83C2411yescharacteristic
660C42×C83C2411yescharacteristic
661C42×C83C2411yescharacteristic
662C23×C83—21no—
663C23×C83—21no—
664C23×C83—21no—
665C23×C83C22×D411yescharacteristic
666Q8×C83—21no—
667Q8×C83—21no—
668Q8×C83—21no—
669Q8×C83—21no—
670Q8×C83—21no—
671Q8×C83—41no—
672Q8×C83—41no—
673Q8×C83—41no—
674Q8×C83—41no—
675Q8×C83—42no—
676Q8×C83—42no—
677Q8×C83—81no—
678Q8×C83—81no—
679Q8×C83—81no—
680Q8×C83—81no—
681Q8×C83—81no—
682Q8×C83—81no—
683Q8×C83—81no—
684Q8×C83—81no—
685Q8×C832−1+412yes—
686D4×C83—24no—
687D4×C83—21no—
688D4×C83—21no—
689D4×C83—21no—
690D4×C83—21no—
691D4×C83—21no—
692D4×C83—81no—
693D4×C83—81no—
694D4×C83—81no—
695D4×C83—81no—
696D4×C832−1+412yes—
697C2×C4×C83—24no—
698C2×C4×C83—21no—
699C2×C4×C83—21no—
700C2×C4×C83—21no—
701C2×C4×C83—21no—
702C2×C4×C83—21no—
703C2×C4×C83—21no—
704C2×C4×C83—21no—
705C2×C4×C83—21no—
706C2×C4×C83—21no—
707C2×C4×C83—21no—
708C2×C4×C83—21no—
709C2×C4×C83—21no—
710C2×C4×C83—21no—
711C2×C4×C83—21no—
712C2×C4×C83—21no—
713C2×C4×C83—41no—
714C2×C4×C83—41no—
715C2×C4×C83—42no—
716C2×C4×C83—42no—
717C2×C4×C83—81no—
718C2×C4×C83—81no—
719C2×C4×C83—81no—
720C2×C4×C83—81no—
721C2×C4×C83—81no—
722C2×C4×C83—81no—
723C2×C4×C83—81no—
724C2×C4×C83—81no—
725C2×C4×C83—81no—
726C2×C4×C83—81no—
727C2×C4×C83—81no—
728C2×C4×C83—81no—
729C2×C4×C83C22×D411yescharacteristic
730C2×C4×C83C22×D411yescharacteristic
731C2×C4×C83C22×D411yescharacteristic
732C2×C4×C83C22×D411yescharacteristic
733C2×C4×C83C22×D411yescharacteristic
734C2×C4×C83C22×D411yescharacteristic
735C2×C4×C83C22×D411yescharacteristic
736C2×C4×C83C22×D411yescharacteristic
737C2×C4×C83C22×D411yescharacteristic
738C2×C4×C83C22×D411yescharacteristic
739C2×C4×C83C22×D411yescharacteristic
740C2×C4×C83C22×D411yescharacteristic
741C2×C4×C83C22×D411yescharacteristic
742C2×C4×C83C2511yescharacteristic
743C8×C83—21no—
744C8×C83—21no—
745C8×C83—21no—
746C8×C83—21no—
747C8×C83—21no—
748C8×C83—21no—
749C8×C83—21no—
750C8×C83—21no—
751C22×C83—21no—
752C22×C83—21no—
753C22×C83—21no—
754C22×C83—22no—
755C22×C83—41no—
756C22×C83—41no—
757C22×C83—41no—
758C22×C83—41no—
759C22×C83—41no—
760C22×C83—41no—
761C22×C83—41no—
762C22×C83—41no—
763C22×C83C23×D411yescharacteristic
764C4×C83—21no—
765C4×C83—21no—
766C4×C83—21no—
767C4×C83—21no—
768C4×C83—21no—
769C4×C83—21no—
770C4×C83—21no—
771C4×C83—21no—
772C4×C83—21no—
773C4×C83—21no—
774C4×C83—21no—
775C4×C83—21no—
776C4×C83—21no—
777C4×C83—22no—
778C4×C83—41no—
779C4×C83—41no—
780C4×C83—41no—
781C4×C83—41no—
782C4×C83—41no—
783C4×C83—41no—
784C4×C83—41no—
785C4×C83—41no—
786C4×C83—41no—
787C4×C83—41no—
788C4×C83—41no—
789C4×C83—41no—
790C4×C83C2×2−1+411yescharacteristic
791C4×C83C2×2−1+411yescharacteristic
792#61879C8311yesmaximal, characteristic, direct product factor, Sylow
793C2×C83—41no—
794C2×C83—42no—
795C2×C83—81no—
796C2×C83—81no—
797C2×C83#348611yescharacteristic
798C2×C83#358511yescharacteristic
799C2×C83#358611yescharacteristic
800#3557C2×C8311yescharacteristic, complemented
801#3503C2×C8311yescharacteristic, complemented
802#3390C2×C8311yescharacteristic, complemented
803#3389C2×C8311yescharacteristic, complemented
804#3388C2×C8311yescharacteristic, complemented
805#3388C2×C8311yescharacteristic, complemented
806#3387C2×C8311yescharacteristic, complemented
807#3386C2×C8311yescharacteristic, complemented
808#3385C2×C8311yescharacteristic, complemented
809#3384C2×C8311yescharacteristic, complemented
810#3377C2×C8311yescharacteristic, complemented
811#3376C2×C8311yescharacteristic, complemented
812#3375C2×C8311yescharacteristic, complemented
813#3373C2×C8311yescharacteristic, complemented
814#3371C2×C8311yescharacteristic, complemented
815#3370C2×C8311yescharacteristic, complemented
816#3369C2×C8311yescharacteristic, complemented
817#3367C2×C8311yescharacteristic, complemented
818#3244C2×C8311yescharacteristic, complemented
819#3243C2×C8311yescharacteristic, complemented
820#3242C2×C8311yescharacteristic, complemented
821#3241C2×C8311yescharacteristic, complemented
822#3239C2×C8311yescharacteristic, complemented
823#3238C2×C8311yescharacteristic, complemented
824#3125C2×C8311yescharacteristic, complemented
825#3124C2×C8311yescharacteristic, complemented
826#3120C2×C8311yescharacteristic, complemented
827#3119C2×C8311yescharacteristic
828#3111C2×C8311yescharacteristic, complemented
829#3111C2×C8311yescharacteristic, complemented
830#2987C2×C8311yescharacteristic, complemented
831C83#6187911yescharacteristic, direct product factor, Sylow
832#563—21no—
833#563—21no—
834#559C22×C8311yescharacteristic
835#559C22×C8311yescharacteristic
836Q82C22×C8311yescharacteristic
837Q82C22×C8311yescharacteristic
838#557C22×C8311yescharacteristic
839#557C22×C8311yescharacteristic
840#557C22×C8311yescharacteristic
841#557C22×C8311yescharacteristic
842#556C22×C8311yescharacteristic
843#556C22×C8311yescharacteristic
844#554—21no—
845#554—21no—
846#554C22×C8311yescharacteristic
847#554C22×C8311yescharacteristic
848#554C22×C8311yescharacteristic
849#554C22×C8311yescharacteristic
850#552—21no—
851#552—21no—
852D4×Q8—21no—
853D4×Q8—21no—
854D4×Q8C22×C8311yescharacteristic
855D4×Q8C22×C8311yescharacteristic
856#544—21no—
857#544—21no—
858#544C22×C8311yescharacteristic
859#544C22×C8311yescharacteristic
860#542—21no—
861#542—21no—
862#542C22×C8311yescharacteristic
863#542C22×C8311yescharacteristic
864#541C22×C8311yescharacteristic
865#540C22×C8311yescharacteristic
866#539—21no—
867#539—21no—
868#533—21no—
869#533C22×C8311yescharacteristic
870C2×C4⋊Q8—21no—
871C2×C4⋊Q8C22×C8311yescharacteristic
872#529C22×C8311yescharacteristic
873#529C22×C8311yescharacteristic
874#520C22×C8311yescharacteristic
875#520C22×C8311yescharacteristic
876C4×#41C22×C8311yescharacteristic
877#501C22×C8311yescharacteristic
878#501C22×C8311yescharacteristic
879#501C22×C8311yescharacteristic
880#501C22×C8311yescharacteristic
881#501C22×C8311yescharacteristic
882#501C22×C8311yescharacteristic
883#501C22×C8311yescharacteristic
884#501C22×C8311yescharacteristic
885#500C22×C8311yescharacteristic
886#499C22×C8311yescharacteristic
887#499C22×C8311yescharacteristic
888#498C22×C8311yescharacteristic
889#491C22×C8311yescharacteristic
890#490C22×C8311yescharacteristic
891#489C22×C8311yescharacteristic
892#489C22×C8311yescharacteristic
893#489C22×C8311yescharacteristic
894#489C22×C8311yescharacteristic
895#489C22×C8311yescharacteristic
896#489C22×C8311yescharacteristic
897#488C22×C8311yescharacteristic
898#488C22×C8311yescharacteristic
899#487C22×C8311yescharacteristic
900#486C22×C8311yescharacteristic
901#485C22×C8311yescharacteristic
902#485C22×C8311yescharacteristic
903#484C22×C8311yescharacteristic
904#484C22×C8311yescharacteristic
905#483C22×C8311yescharacteristic
906#483C22×C8311yescharacteristic
907#482C22×C8311yescharacteristic
908#482C22×C8311yescharacteristic
909#481C22×C8311yescharacteristic
910#481C22×C8311yescharacteristic
911#480C22×C8311yescharacteristic
912#480C22×C8311yescharacteristic
913#479C22×C8311yescharacteristic
914#479C22×C8311yescharacteristic
915#479C22×C8311yescharacteristic
916#479C22×C8311yescharacteristic
917#479C22×C8311yescharacteristic
918#479C22×C8311yescharacteristic
919#479C22×C8311yescharacteristic
920#479C22×C8311yescharacteristic
921#478C22×C8311yescharacteristic
922#478C22×C8311yescharacteristic
923#478C22×C8311yescharacteristic
924#478C22×C8311yescharacteristic
925#478C22×C8311yescharacteristic
926#478C22×C8311yescharacteristic
927#478C22×C8311yescharacteristic
928#478C22×C8311yescharacteristic
929#477C22×C8311yescharacteristic
930#477C22×C8311yescharacteristic
931#477C22×C8311yescharacteristic
932#477C22×C8311yescharacteristic
933#477C22×C8311yescharacteristic
934#476C22×C8311yescharacteristic
935#476C22×C8311yescharacteristic
936#476C22×C8311yescharacteristic
937#476C22×C8311yescharacteristic
938#476C22×C8311yescharacteristic
939#475C22×C8311yescharacteristic
940#475C22×C8311yescharacteristic
941#475C22×C8311yescharacteristic
942#475C22×C8311yescharacteristic
943#475C22×C8311yescharacteristic
944#474C22×C8311yescharacteristic
945#474C22×C8311yescharacteristic
946#474C22×C8311yescharacteristic
947#474C22×C8311yescharacteristic
948#474C22×C8311yescharacteristic
949#464C22×C8311yescharacteristic
950#464C22×C8311yescharacteristic
951#464C22×C8311yescharacteristic
952#464C22×C8311yescharacteristic
953#463C22×C8311yescharacteristic
954#463C22×C8311yescharacteristic
955#463C22×C8311yescharacteristic
956#463C22×C8311yescharacteristic
957#462C22×C8311yescharacteristic
958#461C22×C8311yescharacteristic
959#460C22×C8311yescharacteristic
960#459C22×C8311yescharacteristic
961#452C22×C8311yescharacteristic
962#452C22×C8311yescharacteristic
963#449C22×C8311yescharacteristic
964#449C22×C8311yescharacteristic
965#446C22×C8311yescharacteristic
966#446C22×C8311yescharacteristic
967#446C22×C8311yescharacteristic
968#446C22×C8311yescharacteristic
969#446C22×C8311yescharacteristic
970#446C22×C8311yescharacteristic
971#446C22×C8311yescharacteristic
972#446C22×C8311yescharacteristic
973#442C22×C8311yescharacteristic
974#442C22×C8311yescharacteristic
975#442C22×C8311yescharacteristic
976#442C22×C8311yescharacteristic
977#441C22×C8311yescharacteristic
978#441C22×C8311yescharacteristic
979#441C22×C8311yescharacteristic
980#441C22×C8311yescharacteristic
981#440C22×C8311yescharacteristic
982#440C22×C8311yescharacteristic
983#440C22×C8311yescharacteristic
984#440C22×C8311yescharacteristic
985#440C22×C8311yescharacteristic
986#440C22×C8311yescharacteristic
987#440C22×C8311yescharacteristic
988#440C22×C8311yescharacteristic
989C4×Q16C22×C8311yescharacteristic
990C4×Q16C22×C8311yescharacteristic
991C4×SD16C22×C8311yescharacteristic
992C4×SD16C22×C8311yescharacteristic
993C4×SD16C22×C8311yescharacteristic
994C4×SD16C22×C8311yescharacteristic
995C4×D8C22×C8311yescharacteristic
996C4×D8C22×C8311yescharacteristic
997#433C22×C8311yescharacteristic
998#433C22×C8311yescharacteristic
999#433C22×C8311yescharacteristic
1000#433C22×C8311yescharacteristic
1001#432C22×C8311yescharacteristic
1002#432C22×C8311yescharacteristic
1003C2×#41C23×C8311yescharacteristic
1004C22×Q8—21no—
1005C22×Q8—21no—
1006C22×Q8—21no—
1007C2×Q16C23×C8311yescharacteristic
1008C2×Q16C23×C8311yescharacteristic
1009C2×SD16C23×C8311yescharacteristic
1010C2×SD16C23×C8311yescharacteristic
1011C2×SD16C23×C8311yescharacteristic
1012C2×SD16C23×C8311yescharacteristic
1013C2×D8C23×C8311yescharacteristic
1014C2×D8C23×C8311yescharacteristic
1015C4⋊Q8—21no—
1016C4⋊Q8—21no—
1017C4⋊Q8—21no—
1018C4⋊Q8—21no—
1019C4⋊Q8—21no—
1020C4⋊Q8—21no—
1021C4⋊Q8—21no—
1022C4⋊Q8—21no—
1023C4⋊Q8—21no—
1024C4⋊Q8—21no—
1025C4⋊Q8—21no—
1026C4⋊Q8—21no—
1027C4⋊Q8—21no—
1028C4⋊Q8—21no—
1029C4⋊Q8D4×C8311yescharacteristic
1030C4⋊Q8D4×C8311yescharacteristic
1031C4⋊Q8C23×C8311yescharacteristic
1032C4⋊Q8C23×C8311yescharacteristic
1033C4⋊Q8C23×C8311yescharacteristic
1034C4⋊Q8C23×C8311yescharacteristic
1035C4⋊Q8C23×C8311yescharacteristic
1036C4⋊Q8C23×C8311yescharacteristic
1037C4⋊Q8C23×C8311yescharacteristic
1038C4⋊Q8C23×C8311yescharacteristic
1039C4⋊Q8C23×C8311yescharacteristic
1040C4⋊Q8C23×C8311yescharacteristic
1041C4⋊Q8C23×C8311yescharacteristic
1042#127C23×C8311yescharacteristic
1043#126—21no—
1044#126—21no—
1045#126—21no—
1046#126—21no—
1047#126—21no—
1048#126—21no—
1049#126—21no—
1050#126—21no—
1051#126—21no—
1052#126—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#125D4×C8311yescharacteristic
1066#125D4×C8311yescharacteristic
1067#125C23×C8311yescharacteristic
1068#125C23×C8311yescharacteristic
1069#125C23×C8311yescharacteristic
1070#125C23×C8311yescharacteristic
1071#125C23×C8311yescharacteristic
1072#125C23×C8311yescharacteristic
1073#125C23×C8311yescharacteristic
1074#125C23×C8311yescharacteristic
1075#124—21no—
1076#124—21no—
1077#124—21no—
1078#124—21no—
1079#124C23×C8311yescharacteristic
1080#124C23×C8311yescharacteristic
1081#124C23×C8311yescharacteristic
1082#124C23×C8311yescharacteristic
1083#123—21no—
1084#123—21no—
1085#123—21no—
1086#123—21no—
1087#123—21no—
1088#123—21no—
1089#123—21no—
1090#123—21no—
1091#123—21no—
1092#123—21no—
1093C22⋊Q8—21no—
1094C22⋊Q8—21no—
1095C22⋊Q8—21no—
1096C22⋊Q8—21no—
1097C22⋊Q8—21no—
1098C22⋊Q8—21no—
1099C22⋊Q8—21no—
1100C22⋊Q8—21no—
1101C22⋊Q8—21no—
1102C22⋊Q8—21no—
1103C22⋊Q8—21no—
1104C22⋊Q8—21no—
1105C22⋊Q8—21no—
1106C22⋊Q8—21no—
1107C22⋊Q8—21no—
1108C22⋊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⋊Q8—21no—
1118C22⋊Q8—21no—
1119C22⋊Q8D4×C8311yescharacteristic
1120C22⋊Q8D4×C8311yescharacteristic
1121C22⋊Q8D4×C8311yescharacteristic
1122C22⋊Q8D4×C8311yescharacteristic
1123C22⋊Q8C23×C8311yescharacteristic
1124C22⋊Q8C23×C8311yescharacteristic
1125#121—21no—
1126#121—21no—
1127#121C23×C8311yescharacteristic
1128#121C23×C8311yescharacteristic
1129C4×Q8—21no—
1130C4×Q8—21no—
1131C4×Q8—21no—
1132C4×Q8—21no—
1133C4×Q8—21no—
1134C4×Q8—21no—
1135C4×Q8C23×C8311yescharacteristic
1136C4×Q8C23×C8311yescharacteristic
1137C4×Q8C23×C8311yescharacteristic
1138C4×Q8C23×C8311yescharacteristic
1139C4×Q8C23×C8311yescharacteristic
1140C4×Q8C23×C8311yescharacteristic
1141C4×Q8C23×C8311yescharacteristic
1142C4×Q8C23×C8311yescharacteristic
1143C4×Q8C23×C8311yescharacteristic
1144C4×Q8C23×C8311yescharacteristic
1145C4×Q8C23×C8311yescharacteristic
1146C4×Q8C23×C8311yescharacteristic
1147C4×Q8C23×C8311yescharacteristic
1148C4×Q8C23×C8311yescharacteristic
1149C4×Q8C23×C8311yescharacteristic
1150C4×Q8C23×C8311yescharacteristic
1151C4×D4—21no—
1152C4×D4—21no—
1153C4×D4—21no—
1154C4×D4—21no—
1155C4×D4—21no—
1156C4×D4—21no—
1157C4×D4—21no—
1158C4×D4—21no—
1159C4×D4—21no—
1160C4×D4—21no—
1161C4×D4C23×C8311yescharacteristic
1162C4×D4C23×C8311yescharacteristic
1163C4×D4C23×C8311yescharacteristic
1164C4×D4C23×C8311yescharacteristic
1165C4×D4C23×C8311yescharacteristic
1166C4×D4C23×C8311yescharacteristic
1167C4×D4C23×C8311yescharacteristic
1168C4×D4C23×C8311yescharacteristic
1169C4×D4C23×C8311yescharacteristic
1170C4×D4C23×C8311yescharacteristic
1171C4×D4C23×C8311yescharacteristic
1172C4×D4C23×C8311yescharacteristic
1173#117—21no—
1174#117—21no—
1175#117—21no—
1176#117—21no—
1177#117—21no—
1178#117—21no—
1179#117—21no—
1180#117C23×C8311yescharacteristic
1181#117C23×C8311yescharacteristic
1182#117C23×C8311yescharacteristic
1183C2×C4⋊C4—21no—
1184C2×C4⋊C4—21no—
1185C2×C4⋊C4—21no—
1186C2×C4⋊C4—21no—
1187C2×C4⋊C4—21no—
1188C2×C4⋊C4—21no—
1189C2×C4⋊C4—21no—
1190C2×C4⋊C4C23×C8311yescharacteristic
1191C2×C4⋊C4C23×C8311yescharacteristic
1192C2×C42—21no—
1193C2×C42C23×C8311yescharacteristic
1194#107C23×C8311yescharacteristic
1195#107C23×C8311yescharacteristic
1196#107C23×C8311yescharacteristic
1197#107C23×C8311yescharacteristic
1198#107C23×C8311yescharacteristic
1199#107C23×C8311yescharacteristic
1200#107C23×C8311yescharacteristic
1201#107C23×C8311yescharacteristic
1202#107C23×C8311yescharacteristic
1203#107C23×C8311yescharacteristic
1204#107C23×C8311yescharacteristic
1205#107C23×C8311yescharacteristic
1206#106C23×C8311yescharacteristic
1207#106C23×C8311yescharacteristic
1208#106C23×C8311yescharacteristic
1209#106C23×C8311yescharacteristic
1210#106C23×C8311yescharacteristic
1211#106C23×C8311yescharacteristic
1212#106C23×C8311yescharacteristic
1213#106C23×C8311yescharacteristic
1214#106C23×C8311yescharacteristic
1215#106C23×C8311yescharacteristic
1216#106C23×C8311yescharacteristic
1217#106C23×C8311yescharacteristic
1218C4⋊C8C23×C8311yescharacteristic
1219C4⋊C8C23×C8311yescharacteristic
1220C4⋊C8C23×C8311yescharacteristic
1221C4⋊C8C23×C8311yescharacteristic
1222C4⋊C8C23×C8311yescharacteristic
1223C4⋊C8C23×C8311yescharacteristic
1224C4⋊C8C23×C8311yescharacteristic
1225C4⋊C8C23×C8311yescharacteristic
1226C4⋊C8C23×C8311yescharacteristic
1227C4⋊C8C23×C8311yescharacteristic
1228C4⋊C8C23×C8311yescharacteristic
1229C4⋊C8C23×C8311yescharacteristic
1230#103C23×C8311yescharacteristic
1231#103C23×C8311yescharacteristic
1232#103C23×C8311yescharacteristic
1233#103C23×C8311yescharacteristic
1234#103C23×C8311yescharacteristic
1235#103C23×C8311yescharacteristic
1236#103C23×C8311yescharacteristic
1237#103C23×C8311yescharacteristic
1238#103C23×C8311yescharacteristic
1239#103C23×C8311yescharacteristic
1240#103C23×C8311yescharacteristic
1241#103C23×C8311yescharacteristic
1242#103C23×C8311yescharacteristic
1243#103C23×C8311yescharacteristic
1244#103C23×C8311yescharacteristic
1245#103C23×C8311yescharacteristic
1246#102C23×C8311yescharacteristic
1247#102C23×C8311yescharacteristic
1248#102C23×C8311yescharacteristic
1249#102C23×C8311yescharacteristic
1250#102C23×C8311yescharacteristic
1251#102C23×C8311yescharacteristic
1252#102C23×C8311yescharacteristic
1253#102C23×C8311yescharacteristic
1254#102C23×C8311yescharacteristic
1255#102C23×C8311yescharacteristic
1256#102C23×C8311yescharacteristic
1257#102C23×C8311yescharacteristic
1258#102C23×C8311yescharacteristic
1259#102C23×C8311yescharacteristic
1260#102C23×C8311yescharacteristic
1261#102C23×C8311yescharacteristic
1262C22⋊C8C23×C8311yescharacteristic
1263C22⋊C8C23×C8311yescharacteristic
1264C22⋊C8C23×C8311yescharacteristic
1265C22⋊C8C23×C8311yescharacteristic
1266#97C23×C8311yescharacteristic
1267#97C23×C8311yescharacteristic
1268#97C23×C8311yescharacteristic
1269#97C23×C8311yescharacteristic
1270#97C23×C8311yescharacteristic
1271#97C23×C8311yescharacteristic
1272#97C23×C8311yescharacteristic
1273#97C23×C8311yescharacteristic
1274C4×C8C23×C8311yescharacteristic
1275C4×C8C23×C8311yescharacteristic
1276C4×C8C23×C8311yescharacteristic
1277C4×C8C23×C8311yescharacteristic
1278#41—22no—
1279#41—22no—
1280C2×Q8—21no—
1281C2×Q8—21no—
1282C2×Q8—21no—
1283C2×Q8—21no—
1284C2×Q8—21no—
1285C2×Q8—21no—
1286C2×Q8—21no—
1287C2×Q8—21no—
1288C2×Q8—21no—
1289C2×Q8—21no—
1290C2×Q8—82no—
1291C2×Q8—82no—
1292C2×Q8—82no—
1293C2×Q8C2×D4×C8311yescharacteristic
1294C2×Q8C2×D4×C8311yescharacteristic
1295C2×Q8C2×D4×C8311yescharacteristic
1296C2×Q8C2×D4×C8311yescharacteristic
1297C2×Q8C24×C8311yescharacteristic
1298C2×Q8C24×C8311yescharacteristic
1299C2×Q8C24×C8311yescharacteristic
1300C2×D4—21no—
1301C2×D4—21no—
1302C2×D4—21no—
1303C2×D4—21no—
1304C2×D4—21no—
1305C2×D4C24×C8311yescharacteristic
1306C2×D4C24×C8311yescharacteristic
1307C2×D4C24×C8311yescharacteristic
1308C22×C4—21no—
1309C22×C4—21no—
1310C22×C4—21no—
1311C22×C4—21no—
1312C22×C4—21no—
1313C22×C4—21no—
1314C22×C4—21no—
1315C22×C4—21no—
1316C22×C4—21no—
1317C22×C4—21no—
1318C22×C4—21no—
1319C22×C4—21no—
1320C22×C4—21no—
1321C22×C4—21no—
1322C22×C4—21no—
1323C22×C4C2×D4×C8311yescharacteristic
1324C22×C4C2×D4×C8311yescharacteristic
1325C22×C4C24×C8311yescharacteristic
1326Q16—22no—
1327Q16—22no—
1328SD16—22no—
1329SD16—22no—
1330SD16—22no—
1331SD16—22no—
1332D8—22no—
1333D8—22no—
1334C2×C8C24×C8311yescharacteristic
1335C2×C8C24×C8311yescharacteristic
1336C2×C8C24×C8311yescharacteristic
1337C2×C8C24×C8311yescharacteristic
1338C2×C8C24×C8311yescharacteristic
1339C2×C8C24×C8311yescharacteristic
1340C2×C8C24×C8311yescharacteristic
1341C2×C8C24×C8311yescharacteristic
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⋊C4C2×D4×C8311yescharacteristic
1387C4⋊C4C2×D4×C8311yescharacteristic
1388C4⋊C4C2×D4×C8311yescharacteristic
1389C4⋊C4C2×D4×C8311yescharacteristic
1390C4⋊C4C2×D4×C8311yescharacteristic
1391C4⋊C4C2×D4×C8311yescharacteristic
1392C4⋊C4C2×D4×C8311yescharacteristic
1393C4⋊C4C2×D4×C8311yescharacteristic
1394C4⋊C4C2×D4×C8311yescharacteristic
1395C4⋊C4C2×D4×C8311yescharacteristic
1396C4⋊C4C2×D4×C8311yescharacteristic
1397C4⋊C4C2×D4×C8311yescharacteristic
1398C4⋊C4C2×D4×C8311yescharacteristic
1399C4⋊C4C2×D4×C8311yescharacteristic
1400C4⋊C4C2×D4×C8311yescharacteristic
1401C4⋊C4C2×D4×C8311yescharacteristic
1402C4⋊C4C24×C8311yescharacteristic
1403C4⋊C4C24×C8311yescharacteristic
1404C4⋊C4C24×C8311yescharacteristic
1405C4⋊C4C24×C8311yescharacteristic
1406C4⋊C4C24×C8311yescharacteristic
1407C4⋊C4C24×C8311yescharacteristic
1408C4⋊C4C24×C8311yescharacteristic
1409C4⋊C4C24×C8311yescharacteristic
1410C4⋊C4C24×C8311yescharacteristic
1411C4⋊C4C24×C8311yescharacteristic
1412C22⋊C4—21no—
1413C22⋊C4—21no—
1414C22⋊C4—21no—
1415C22⋊C4—21no—
1416C22⋊C4—21no—
1417C22⋊C4—21no—
1418C22⋊C4—21no—
1419C22⋊C4—21no—
1420C22⋊C4—21no—
1421C22⋊C4—21no—
1422C22⋊C4—21no—
1423C22⋊C4—21no—
1424C22⋊C4—21no—
1425C22⋊C4—21no—
1426C22⋊C4—21no—
1427C22⋊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×C8311yescharacteristic
1438C22⋊C4C2×D4×C8311yescharacteristic
1439C22⋊C4C2×D4×C8311yescharacteristic
1440C22⋊C4C2×D4×C8311yescharacteristic
1441C42—21no—
1442C42—21no—
1443C42—21no—
1444C42—21no—
1445C42—21no—
1446C42—21no—
1447C42—21no—
1448C42—21no—
1449C42—21no—
1450C42—21no—
1451C42—21no—
1452C42—21no—
1453C42—21no—
1454C42C2×D4×C8311yescharacteristic
1455C42C2×D4×C8311yescharacteristic
1456C42C24×C8311yescharacteristic
1457C42C24×C8311yescharacteristic
1458C42C24×C8311yescharacteristic
1459C42C24×C8311yescharacteristic
1460C42C24×C8311yescharacteristic
1461C42C24×C8311yescharacteristic
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23C22×D4×C8311yescharacteristic
1466Q8—21no—
1467Q8—21no—
1468Q8—21no—
1469Q8—21no—
1470Q8—21no—
1471Q8—41no—
1472Q8—41no—
1473Q8—41no—
1474Q8—41no—
1475Q8—42no—
1476Q8—42no—
1477Q8—81no—
1478Q8—81no—
1479Q8—81no—
1480Q8—81no—
1481Q8—81no—
1482Q8—81no—
1483Q8—81no—
1484Q8—81no—
1485Q82−1+4×C8312yes—
1486D4—24no—
1487D4—21no—
1488D4—21no—
1489D4—21no—
1490D4—21no—
1491D4—21no—
1492D4—81no—
1493D4—81no—
1494D4—81no—
1495D4—81no—
1496D42−1+4×C8312yes—
1497C2×C4—24no—
1498C2×C4—21no—
1499C2×C4—21no—
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—41no—
1514C2×C4—41no—
1515C2×C4—42no—
1516C2×C4—42no—
1517C2×C4—81no—
1518C2×C4—81no—
1519C2×C4—81no—
1520C2×C4—81no—
1521C2×C4—81no—
1522C2×C4—81no—
1523C2×C4—81no—
1524C2×C4—81no—
1525C2×C4—81no—
1526C2×C4—81no—
1527C2×C4—81no—
1528C2×C4—81no—
1529C2×C4C22×D4×C8311yescharacteristic
1530C2×C4C22×D4×C8311yescharacteristic
1531C2×C4C22×D4×C8311yescharacteristic
1532C2×C4C22×D4×C8311yescharacteristic
1533C2×C4C22×D4×C8311yescharacteristic
1534C2×C4C22×D4×C8311yescharacteristic
1535C2×C4C22×D4×C8311yescharacteristic
1536C2×C4C22×D4×C8311yescharacteristic
1537C2×C4C22×D4×C8311yescharacteristic
1538C2×C4C22×D4×C8311yescharacteristic
1539C2×C4C22×D4×C8311yescharacteristic
1540C2×C4C22×D4×C8311yescharacteristic
1541C2×C4C22×D4×C8311yescharacteristic
1542C2×C4C25×C8311yescharacteristic
1543C8—21no—
1544C8—21no—
1545C8—21no—
1546C8—21no—
1547C8—21no—
1548C8—21no—
1549C8—21no—
1550C8—21no—
1551C22—21no—
1552C22—21no—
1553C22—21no—
1554C22—22no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22C23×D4×C8311yescharacteristic
1564C4—21no—
1565C4—21no—
1566C4—21no—
1567C4—21no—
1568C4—21no—
1569C4—21no—
1570C4—21no—
1571C4—21no—
1572C4—21no—
1573C4—21no—
1574C4—21no—
1575C4—21no—
1576C4—21no—
1577C4—22no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—41no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4C2×2−1+4×C8311yescharacteristic
1591C4C2×2−1+4×C8311yescharacteristic
1592C2—41no—
1593C2—42no—
1594C2—81no—
1595C2—81no—
1596C2C83×#348611yescharacteristic
1597C2C83×#358511yescharacteristic
1598C2C83×#358611yescharacteristic
subgroupG/H
center, socleC22×C83C23×D4
commutator, Frattini, cosocleC2×C4C25×C83
prime radicalC83×#3119C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C83 ◁ #533×C83 ◁ G

Complements

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

NH ≅ G/Ntype
1. C83×#3557C2semidirect
2. C83×#3503C2semidirect
3. C83×#3390C2semidirect
4. C83×#3389C2semidirect
5. C83×#3388C2semidirect
6. C83×#3388C2semidirect
7. C83×#3387C2semidirect
8. C83×#3386C2semidirect
9. C83×#3385C2semidirect
10. C83×#3384C2semidirect
11. C83×#3377C2semidirect
12. C83×#3376C2semidirect
13. C83×#3375C2semidirect
14. C83×#3373C2semidirect
15. C83×#3371C2semidirect
16. C83×#3370C2semidirect
17. C83×#3369C2semidirect
18. C83×#3367C2semidirect
19. C83×#3244C2semidirect
20. C83×#3243C2semidirect
21. C83×#3242C2semidirect
22. C83×#3241C2semidirect
23. C83×#3239C2semidirect
24. C83×#3238C2semidirect
25. C83×#3125C2semidirect
26. C83×#3124C2semidirect
27. C83×#3120C2semidirect
29. C83×#3111C2semidirect
30. C83×#3111C2semidirect
31. C83×#2987C2semidirect
792. #61879C83direct (N × H)
800. #3557C2×C83semidirect
801. #3503C2×C83semidirect
802. #3390C2×C83semidirect
803. #3389C2×C83semidirect
804. #3388C2×C83semidirect
805. #3388C2×C83semidirect
806. #3387C2×C83semidirect
807. #3386C2×C83semidirect
808. #3385C2×C83semidirect
809. #3384C2×C83semidirect
810. #3377C2×C83semidirect
811. #3376C2×C83semidirect
812. #3375C2×C83semidirect
813. #3373C2×C83semidirect
814. #3371C2×C83semidirect
815. #3370C2×C83semidirect
816. #3369C2×C83semidirect
817. #3367C2×C83semidirect
818. #3244C2×C83semidirect
819. #3243C2×C83semidirect
820. #3242C2×C83semidirect
821. #3241C2×C83semidirect
822. #3239C2×C83semidirect
823. #3238C2×C83semidirect
824. #3125C2×C83semidirect
825. #3124C2×C83semidirect
826. #3120C2×C83semidirect
828. #3111C2×C83semidirect
829. #3111C2×C83semidirect
830. #2987C2×C83semidirect
831. C83#61879direct (N × H)

Maximal subgroups

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

subgroupindex
C83×#35572
C83×#35032
C83×#33902
C83×#33892
C83×#33882
C83×#33872
C83×#33862
C83×#33852
C83×#33842
C83×#33772
C83×#33762
C83×#33752
C83×#33732
C83×#33712
C83×#33702
C83×#33692
C83×#33672
C83×#32442
C83×#32432
C83×#32422
C83×#32412
C83×#32392
C83×#32382
C83×#31252
C83×#31242
C83×#31202
C83×#31192
C83×#31112
C83×#29872
#6187983