Finite Group Databasebeta

← C83×#62174 #35289998

Subgroups — C83×#62174 #35289998

Order 21248.

1646 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C83×#3555C211yesmaximal, characteristic, complemented
2C83×#3524C211yesmaximal, characteristic
3C83×#3390C211yesmaximal, characteristic, complemented
4C83×#3387C211yesmaximal, characteristic, complemented
5C83×#3375C211yesmaximal, characteristic, complemented
6C83×#3371C211yesmaximal, characteristic, complemented
7C83×#3350C211yesmaximal, characteristic, complemented
8C83×#3349C211yesmaximal, characteristic, complemented
9C83×#3348C211yesmaximal, characteristic, complemented
10C83×#3346C211yesmaximal, characteristic, complemented
11C83×#3340C211yesmaximal, characteristic, complemented
12C83×#3336C211yesmaximal, characteristic, complemented
13C83×#3317C211yesmaximal, characteristic, complemented
14C83×#3316C211yesmaximal, characteristic, complemented
15C83×#3313C211yesmaximal, characteristic, complemented
16C83×#3313C211yesmaximal, characteristic, complemented
17C83×#3304C211yesmaximal, characteristic, complemented
18C83×#3300C211yesmaximal, characteristic, complemented
19C83×#3260C211yesmaximal, characteristic, complemented
20C83×#3258C211yesmaximal, characteristic, complemented
21C83×#3248C211yesmaximal, characteristic, complemented
22C83×#3244C211yesmaximal, characteristic, complemented
23C83×#3241C211yesmaximal, characteristic, complemented
24C83×#3240C211yesmaximal, characteristic, complemented
25C83×#3127C211yesmaximal, characteristic, complemented
26C83×#3120C211yesmaximal, characteristic, complemented
27C83×#3116C211yesmaximal, characteristic, complemented
28C83×#3083C211yesmaximal, characteristic, complemented
29C83×#3082C211yesmaximal, characteristic, complemented
30C83×#3076C211yesmaximal, characteristic, complemented
31C83×#2992C211yesmaximal, characteristic, complemented
32#563×C83—21no—
33#563×C83—21no—
34#559×C83—21no—
35#559×C83C2211yescharacteristic
36Q82×C83C2211yescharacteristic
37#557×C83—21no—
38#557×C83C2211yescharacteristic
39#557×C83C2211yescharacteristic
40#556×C83—21no—
41#556×C83C2211yescharacteristic
42#556×C83C2211yescharacteristic
43#556×C83C2211yescharacteristic
44#555×C83—21no—
45#555×C83C2211yescharacteristic
46#554×C83C2211yescharacteristic
47#553×C83—21no—
48#553×C83C2211yescharacteristic
49#552×C83—21no—
50#552×C83C2211yescharacteristic
51#552×C83C2211yescharacteristic
52#552×C83C2211yescharacteristic
53#550×C83C2211yescharacteristic
54#548×C83C2211yescharacteristic
55#548×C83C2211yescharacteristic
56#544×C83C2211yescharacteristic
57#544×C83C2211yescharacteristic
58#542×C83—21no—
59#542×C83—21no—
60#542×C83C2211yescharacteristic
61#541×C83—21no—
62#541×C83—21no—
63#541×C83—21no—
64#541×C83C2211yescharacteristic
65#541×C83C2211yescharacteristic
66#540×C83—21no—
67#540×C83C2211yescharacteristic
68#533×C83C2211yescharacteristic
69#533×C83C2211yescharacteristic
70#529×C83—21no—
71#529×C83—21no—
72#529×C83C2211yescharacteristic
73#529×C83C2211yescharacteristic
74#520×C83C2211yescharacteristic
75#519×C83C2211yescharacteristic
76C4×#41×C83C2211yescharacteristic
77#501×C83C2211yescharacteristic
78#501×C83C2211yescharacteristic
79#501×C83C2211yescharacteristic
80#501×C83C2211yescharacteristic
81#499×C83C2211yescharacteristic
82#498×C83C2211yescharacteristic
83#490×C83C2211yescharacteristic
84#489×C83C2211yescharacteristic
85#489×C83C2211yescharacteristic
86#489×C83C2211yescharacteristic
87#488×C83C2211yescharacteristic
88#486×C83C2211yescharacteristic
89#485×C83C2211yescharacteristic
90#485×C83C2211yescharacteristic
91#485×C83C2211yescharacteristic
92#485×C83C2211yescharacteristic
93#485×C83C2211yescharacteristic
94#485×C83C2211yescharacteristic
95#485×C83C2211yescharacteristic
96#484×C83C2211yescharacteristic
97#483×C83C2211yescharacteristic
98#483×C83C2211yescharacteristic
99#482×C83C2211yescharacteristic
100#482×C83C2211yescharacteristic
101#482×C83C2211yescharacteristic
102#482×C83C2211yescharacteristic
103#482×C83C2211yescharacteristic
104#481×C83C2211yescharacteristic
105#481×C83C2211yescharacteristic
106#480×C83C2211yescharacteristic
107#479×C83C2211yescharacteristic
108#479×C83C2211yescharacteristic
109#479×C83C2211yescharacteristic
110#479×C83C2211yescharacteristic
111#479×C83C2211yescharacteristic
112#479×C83C2211yescharacteristic
113#479×C83C2211yescharacteristic
114#479×C83C2211yescharacteristic
115#479×C83C2211yescharacteristic
116#479×C83C2211yescharacteristic
117#479×C83C2211yescharacteristic
118#478×C83C2211yescharacteristic
119#478×C83C2211yescharacteristic
120#478×C83C2211yescharacteristic
121#478×C83C2211yescharacteristic
122#478×C83C2211yescharacteristic
123#477×C83C2211yescharacteristic
124#477×C83C2211yescharacteristic
125#477×C83C2211yescharacteristic
126#477×C83C2211yescharacteristic
127#477×C83C2211yescharacteristic
128#476×C83C2211yescharacteristic
129#476×C83C2211yescharacteristic
130#475×C83C2211yescharacteristic
131#475×C83C2211yescharacteristic
132#475×C83C2211yescharacteristic
133#475×C83C2211yescharacteristic
134#474×C83C2211yescharacteristic
135#474×C83C2211yescharacteristic
136#474×C83C2211yescharacteristic
137#470×C83C2211yescharacteristic
138#468×C83C2211yescharacteristic
139#468×C83C2211yescharacteristic
140#468×C83C2211yescharacteristic
141#467×C83C2211yescharacteristic
142#467×C83C2211yescharacteristic
143#467×C83C2211yescharacteristic
144#465×C83C2211yescharacteristic
145#465×C83C2211yescharacteristic
146#465×C83C2211yescharacteristic
147#465×C83C2211yescharacteristic
148#465×C83C2211yescharacteristic
149#464×C83C2211yescharacteristic
150#464×C83C2211yescharacteristic
151#464×C83C2211yescharacteristic
152#464×C83C2211yescharacteristic
153#462×C83C2211yescharacteristic
154#462×C83C2211yescharacteristic
155#461×C83C2211yescharacteristic
156#461×C83C2211yescharacteristic
157#460×C83C2211yescharacteristic
158#460×C83C2211yescharacteristic
159#452×C83C2211yescharacteristic
160#452×C83C2211yescharacteristic
161#452×C83C2211yescharacteristic
162#452×C83C2211yescharacteristic
163#451×C83C2211yescharacteristic
164#451×C83C2211yescharacteristic
165#446×C83C2211yescharacteristic
166#446×C83C2211yescharacteristic
167#441×C83C2211yescharacteristic
168#441×C83C2211yescharacteristic
169#441×C83C2211yescharacteristic
170#441×C83C2211yescharacteristic
171#441×C83C2211yescharacteristic
172#440×C83C2211yescharacteristic
173#440×C83C2211yescharacteristic
174#440×C83C2211yescharacteristic
175C4×Q16×C83C2211yescharacteristic
176C4×Q16×C83C2211yescharacteristic
177C4×Q16×C83C2211yescharacteristic
178C4×SD16×C83C2211yescharacteristic
179#435×C83C2211yescharacteristic
180#435×C83C2211yescharacteristic
181#435×C83C2211yescharacteristic
182#435×C83C2211yescharacteristic
183C8×D4×C83C2211yescharacteristic
184C8×D4×C83C2211yescharacteristic
185#433×C83C2211yescharacteristic
186#433×C83C2211yescharacteristic
187#432×C83C2211yescharacteristic
188#428×C83C2211yescharacteristic
189#428×C83C2211yescharacteristic
190#427×C83C2211yescharacteristic
191#427×C83C2211yescharacteristic
192#427×C83C2211yescharacteristic
193C2×#107×C83C2211yescharacteristic
194#424×C83C2211yescharacteristic
195#424×C83C2211yescharacteristic
196C2×C4⋊C8×C83C2211yescharacteristic
197#419×C83C2211yescharacteristic
198#417×C83C2211yescharacteristic
199#416×C83C2211yescharacteristic
200#416×C83C2211yescharacteristic
201#416×C83C2211yescharacteristic
202C2×#103×C83C2211yescharacteristic
203C2×#41×C83C2311yescharacteristic
204C2×#41×C83C2311yescharacteristic
205C22×Q8×C83C2311yescharacteristic
206C2×Q16×C83C2311yescharacteristic
207C2×Q16×C83C2311yescharacteristic
208C2×Q16×C83C2311yescharacteristic
209C2×Q16×C83C2311yescharacteristic
210C2×SD16×C83C2311yescharacteristic
211C2×SD16×C83C2311yescharacteristic
212C2×SD16×C83C2311yescharacteristic
213C2×SD16×C83C2311yescharacteristic
214C2×M16×C83C2311yescharacteristic
215C2×M16×C83C2311yescharacteristic
216C22×C8×C83C2311yescharacteristic
217C22×C8×C83C2311yescharacteristic
218C22×C8×C83C2311yescharacteristic
219C22×C8×C83C2311yescharacteristic
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×C83C2311yescharacteristic
228C4⋊Q8×C83C2311yescharacteristic
229C4⋊Q8×C83C2311yescharacteristic
230C4⋊Q8×C83C2311yescharacteristic
231C4⋊Q8×C83C2311yescharacteristic
232C4⋊Q8×C83C2311yescharacteristic
233C4⋊Q8×C83C2311yescharacteristic
234#127×C83—21no—
235#127×C83C2311yescharacteristic
236#126×C83—21no—
237#126×C83—21no—
238#126×C83—21no—
239#126×C83—21no—
240#126×C83—21no—
241#126×C83—21no—
242#126×C83—21no—
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×C83D411yescharacteristic
253#126×C83D411yescharacteristic
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×C83—21no—
266#125×C83—21no—
267#125×C83—21no—
268#125×C83—21no—
269#125×C83D411yescharacteristic
270#125×C83C2311yescharacteristic
271#125×C83C2311yescharacteristic
272#125×C83C2311yescharacteristic
273#125×C83C2311yescharacteristic
274#125×C83C2311yescharacteristic
275#125×C83C2311yescharacteristic
276#124×C83—21no—
277#124×C83—21no—
278#124×C83—21no—
279#124×C83—21no—
280#124×C83—21no—
281#124×C83—21no—
282#124×C83—21no—
283#124×C83—21no—
284#124×C83—21no—
285#124×C83D411yescharacteristic
286#124×C83C2311yescharacteristic
287#124×C83C2311yescharacteristic
288#123×C83—21no—
289#123×C83—21no—
290#123×C83—21no—
291#123×C83—21no—
292#123×C83—21no—
293#123×C83—21no—
294#123×C83—21no—
295#123×C83—21no—
296#123×C83—21no—
297#123×C83—21no—
298#123×C83D411yescharacteristic
299#123×C83D411yescharacteristic
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×C83D411yescharacteristic
313C22⋊Q8×C83C2311yescharacteristic
314C22⋊Q8×C83C2311yescharacteristic
315C22⋊Q8×C83C2311yescharacteristic
316C22⋊Q8×C83C2311yescharacteristic
317C22⋊Q8×C83C2311yescharacteristic
318C22⋊Q8×C83C2311yescharacteristic
319C22⋊Q8×C83C2311yescharacteristic
320C22⋊Q8×C83C2311yescharacteristic
321#121×C83—21no—
322#121×C83—21no—
323#121×C83—21no—
324#121×C83—21no—
325#121×C83—21no—
326#121×C83—21no—
327#121×C83—21no—
328#121×C83—21no—
329#121×C83D411yescharacteristic
330#121×C83C2311yescharacteristic
331#121×C83C2311yescharacteristic
332#121×C83C2311yescharacteristic
333#121×C83C2311yescharacteristic
334C4×Q8×C83—21no—
335C4×Q8×C83—21no—
336C4×Q8×C83—21no—
337C4×Q8×C83—21no—
338C4×Q8×C83—21no—
339C4×Q8×C83—21no—
340C4×Q8×C83—21no—
341C4×Q8×C83—21no—
342C4×Q8×C83—21no—
343C4×Q8×C83—21no—
344C4×Q8×C83—21no—
345C4×Q8×C83C2311yescharacteristic
346C4×Q8×C83C2311yescharacteristic
347C4×Q8×C83C2311yescharacteristic
348C4×Q8×C83C2311yescharacteristic
349C4×Q8×C83C2311yescharacteristic
350C4×Q8×C83C2311yescharacteristic
351C4×Q8×C83C2311yescharacteristic
352C4×Q8×C83C2311yescharacteristic
353C4×Q8×C83C2311yescharacteristic
354C4×Q8×C83C2311yescharacteristic
355C4×Q8×C83C2311yescharacteristic
356C4×Q8×C83C2311yescharacteristic
357C4×Q8×C83C2311yescharacteristic
358C4×D4×C83—21no—
359C4×D4×C83—21no—
360C4×D4×C83—21no—
361C4×D4×C83—21no—
362C4×D4×C83—21no—
363C4×D4×C83—21no—
364C4×D4×C83—21no—
365C4×D4×C83—21no—
366C4×D4×C83—21no—
367C4×D4×C83—21no—
368C4×D4×C83—21no—
369C4×D4×C83C2311yescharacteristic
370C4×D4×C83C2311yescharacteristic
371C4×D4×C83C2311yescharacteristic
372C4×D4×C83C2311yescharacteristic
373C4×D4×C83C2311yescharacteristic
374C4×D4×C83C2311yescharacteristic
375C4×D4×C83C2311yescharacteristic
376#117×C83—21no—
377#117×C83—21no—
378#117×C83—21no—
379#117×C83—21no—
380#117×C83—21no—
381#117×C83—21no—
382#117×C83—21no—
383#117×C83—21no—
384#117×C83—21no—
385#117×C83—21no—
386#117×C83C2311yescharacteristic
387#117×C83C2311yescharacteristic
388#117×C83C2311yescharacteristic
389#117×C83C2311yescharacteristic
390#117×C83C2311yescharacteristic
391#117×C83C2311yescharacteristic
392#117×C83C2311yescharacteristic
393#117×C83C2311yescharacteristic
394C2×C4⋊C4×C83—21no—
395C2×C4⋊C4×C83C2311yescharacteristic
396C2×C4⋊C4×C83C2311yescharacteristic
397C2×C4⋊C4×C83C2311yescharacteristic
398C2×C42×C83—21no—
399C2×C42×C83C2311yescharacteristic
400#107×C83C2311yescharacteristic
401#107×C83C2311yescharacteristic
402#107×C83C2311yescharacteristic
403#107×C83C2311yescharacteristic
404#107×C83C2311yescharacteristic
405#107×C83C2311yescharacteristic
406#107×C83C2311yescharacteristic
407#107×C83C2311yescharacteristic
408#107×C83C2311yescharacteristic
409#107×C83C2311yescharacteristic
410#107×C83C2311yescharacteristic
411#107×C83C2311yescharacteristic
412#106×C83C2311yescharacteristic
413#106×C83C2311yescharacteristic
414#106×C83C2311yescharacteristic
415#106×C83C2311yescharacteristic
416#106×C83C2311yescharacteristic
417#106×C83C2311yescharacteristic
418#106×C83C2311yescharacteristic
419#106×C83C2311yescharacteristic
420#106×C83C2311yescharacteristic
421#106×C83C2311yescharacteristic
422#106×C83C2311yescharacteristic
423#106×C83C2311yescharacteristic
424C4⋊C8×C83C2311yescharacteristic
425C4⋊C8×C83C2311yescharacteristic
426C4⋊C8×C83C2311yescharacteristic
427C4⋊C8×C83C2311yescharacteristic
428C4⋊C8×C83C2311yescharacteristic
429C4⋊C8×C83C2311yescharacteristic
430C4⋊C8×C83C2311yescharacteristic
431C4⋊C8×C83C2311yescharacteristic
432C4⋊C8×C83C2311yescharacteristic
433C4⋊C8×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#103×C83C2311yescharacteristic
447#103×C83C2311yescharacteristic
448#103×C83C2311yescharacteristic
449#103×C83C2311yescharacteristic
450#103×C83C2311yescharacteristic
451#103×C83C2311yescharacteristic
452#103×C83C2311yescharacteristic
453#103×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
462#102×C83C2311yescharacteristic
463#102×C83C2311yescharacteristic
464#102×C83C2311yescharacteristic
465#102×C83C2311yescharacteristic
466C22⋊C8×C83C2311yescharacteristic
467C22⋊C8×C83C2311yescharacteristic
468C22⋊C8×C83C2311yescharacteristic
469C22⋊C8×C83C2311yescharacteristic
470C22⋊C8×C83C2311yescharacteristic
471C22⋊C8×C83C2311yescharacteristic
472#97×C83C2311yescharacteristic
473#97×C83C2311yescharacteristic
474#97×C83C2311yescharacteristic
475#97×C83C2311yescharacteristic
476C4×C8×C83C2311yescharacteristic
477C4×C8×C83C2311yescharacteristic
478#41×C83—22no—
479#41×C83—22no—
480#41×C83—41no—
481#41×C83—41no—
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—22no—
490C2×Q8×C83—41no—
491C2×Q8×C83C2×D411yescharacteristic
492C2×Q8×C83C2411yescharacteristic
493C2×Q8×C83C2411yescharacteristic
494C2×Q8×C83C2411yescharacteristic
495C2×Q8×C83C2411yescharacteristic
496C2×D4×C83—21no—
497C2×D4×C83—21no—
498C2×D4×C83—21no—
499C2×D4×C83—21no—
500C2×D4×C83—21no—
501C2×D4×C83—21no—
502C2×D4×C83—21no—
503C2×D4×C83—21no—
504C2×D4×C83C2×D411yescharacteristic
505C2×D4×C83C2×D411yescharacteristic
506C2×D4×C83C2×D411yescharacteristic
507C2×D4×C83C2411yescharacteristic
508C2×D4×C83C2411yescharacteristic
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×C83C2×D411yescharacteristic
520C22×C4×C83C2×D411yescharacteristic
521C22×C4×C83C2411yescharacteristic
522C22×C4×C83C2411yescharacteristic
523C22×C4×C83C2411yescharacteristic
524Q16×C83—22no—
525Q16×C83—22no—
526Q16×C83—41no—
527Q16×C83—41no—
528SD16×C83—41no—
529SD16×C83—41no—
530SD16×C83—41no—
531SD16×C83—41no—
532M16×C83—41no—
533M16×C83—41no—
534C2×C8×C83—41no—
535C2×C8×C83—41no—
536C2×C8×C83—41no—
537C2×C8×C83—41no—
538C2×C8×C83C2411yescharacteristic
539C2×C8×C83C2411yescharacteristic
540C2×C8×C83C2411yescharacteristic
541C2×C8×C83C2411yescharacteristic
542C2×C8×C83C2411yescharacteristic
543C2×C8×C83C2411yescharacteristic
544C2×C8×C83C2411yescharacteristic
545C2×C8×C83C2411yescharacteristic
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×C83—21no—
587C4⋊C4×C83—21no—
588C4⋊C4×C83—21no—
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×C83C2411yescharacteristic
600C4⋊C4×C83C2411yescharacteristic
601C4⋊C4×C83C2411yescharacteristic
602C4⋊C4×C83C2411yescharacteristic
603C4⋊C4×C83C2411yescharacteristic
604C4⋊C4×C83C2411yescharacteristic
605C4⋊C4×C83C2411yescharacteristic
606C4⋊C4×C83C2411yescharacteristic
607C4⋊C4×C83C2411yescharacteristic
608C4⋊C4×C83C2411yescharacteristic
609C22⋊C4×C83—21no—
610C22⋊C4×C83—21no—
611C22⋊C4×C83—21no—
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×C83C2×D411yescharacteristic
636C22⋊C4×C83C2×D411yescharacteristic
637C22⋊C4×C83C2×D411yescharacteristic
638C22⋊C4×C83C2×D411yescharacteristic
639C22⋊C4×C83C2×D411yescharacteristic
640C22⋊C4×C83C2×D411yescharacteristic
641C22⋊C4×C83C2×D411yescharacteristic
642C22⋊C4×C83C2×D411yescharacteristic
643C22⋊C4×C83C2×D411yescharacteristic
644C22⋊C4×C83C2×D411yescharacteristic
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×C83—21no—
655C42×C83—21no—
656C42×C83—21no—
657C42×C83—21no—
658C42×C83—21no—
659C42×C83—21no—
660C42×C83—21no—
661C42×C83—21no—
662C42×C83—21no—
663C42×C83C2×D411yescharacteristic
664C42×C83C2×D411yescharacteristic
665C42×C83C2411yescharacteristic
666C42×C83C2411yescharacteristic
667C42×C83C2411yescharacteristic
668C42×C83C2411yescharacteristic
669C23×C83—21no—
670C23×C83—21no—
671C23×C83C22×D411yescharacteristic
672C23×C83C22×D411yescharacteristic
673C23×C83C22×D411yescharacteristic
674Q8×C83—21no—
675Q8×C83—21no—
676Q8×C83—21no—
677Q8×C83—21no—
678Q8×C83—21no—
679Q8×C83—21no—
680Q8×C83—21no—
681Q8×C83—41no—
682Q8×C83—42no—
683Q8×C83—42no—
684Q8×C83—81no—
685Q8×C83—81no—
686Q8×C83—81no—
687Q8×C83—81no—
688Q8×C83—81no—
689Q8×C832−1+412yes—
690D4×C83—21no—
691D4×C83—21no—
692D4×C83—21no—
693D4×C83—21no—
694D4×C83—41no—
695D4×C83—41no—
696D4×C83—41no—
697D4×C83—42no—
698D4×C83—42no—
699D4×C83—81no—
700D4×C83—81no—
701D4×C83—81no—
702D4×C83—81no—
703D4×C83—81no—
704D4×C83—81no—
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—21no—
714C2×C4×C83—21no—
715C2×C4×C83—21no—
716C2×C4×C83—21no—
717C2×C4×C83—21no—
718C2×C4×C83—21no—
719C2×C4×C83—21no—
720C2×C4×C83—21no—
721C2×C4×C83—21no—
722C2×C4×C83—21no—
723C2×C4×C83—21no—
724C2×C4×C83—21no—
725C2×C4×C83—41no—
726C2×C4×C83—41no—
727C2×C4×C83—42no—
728C2×C4×C83—42no—
729C2×C4×C83—42no—
730C2×C4×C83—81no—
731C2×C4×C83—81no—
732C2×C4×C83—81no—
733C2×C4×C83—81no—
734C2×C4×C83—81no—
735C2×C4×C83—81no—
736C2×C4×C83—81no—
737C2×C4×C83C22×D411yescharacteristic
738C2×C4×C83C22×D411yescharacteristic
739C2×C4×C83C22×D411yescharacteristic
740C2×C4×C83C22×D411yescharacteristic
741C2×C4×C83C22×D411yescharacteristic
742C2×C4×C83C22×D411yescharacteristic
743C2×C4×C83C22×D411yescharacteristic
744C2×C4×C83C22×D411yescharacteristic
745C2×C4×C83C22×D411yescharacteristic
746C2×C4×C83C22×D411yescharacteristic
747C2×C4×C83C22×D411yescharacteristic
748C2×C4×C83C2511yescharacteristic
749C8×C83—21no—
750C8×C83—21no—
751C8×C83—21no—
752C8×C83—21no—
753C8×C83—21no—
754C8×C83—21no—
755C8×C83—21no—
756C8×C83—21no—
757C22×C83—21no—
758C22×C83—21no—
759C22×C83—21no—
760C22×C83—21no—
761C22×C83—21no—
762C22×C83—21no—
763C22×C83—21no—
764C22×C83—21no—
765C22×C83—21no—
766C22×C83—41no—
767C22×C83—41no—
768C22×C83—41no—
769C22×C83—41no—
770C22×C83—41no—
771C22×C83—41no—
772C22×C83C23×D411yescharacteristic
773C4×C83—21no—
774C4×C83—21no—
775C4×C83—21no—
776C4×C83—21no—
777C4×C83—21no—
778C4×C83—21no—
779C4×C83—21no—
780C4×C83—21no—
781C4×C83—21no—
782C4×C83—21no—
783C4×C83—21no—
784C4×C83—22no—
785C4×C83—41no—
786C4×C83—41no—
787C4×C83—41no—
788C4×C83—41no—
789C4×C83—41no—
790C4×C83—41no—
791C4×C83—41no—
792C4×C83—41no—
793C4×C83—41no—
794C4×C83—41no—
795C4×C83—41no—
796C4×C83—41no—
797C4×C83—41no—
798C4×C83C2×2−1+411yescharacteristic
799C4×C83#58511yescharacteristic
800#62174C8311yesmaximal, characteristic, direct product factor, Sylow
801C2×C83—41no—
802C2×C83—41no—
803C2×C83—41no—
804C2×C83—81no—
805C2×C83—81no—
806C2×C83#348911yescharacteristic
807C2×C83#358411yescharacteristic
808C2×C83#358611yescharacteristic
809#3555C2×C8311yescharacteristic, complemented
810#3524C2×C8311yescharacteristic
811#3390C2×C8311yescharacteristic, complemented
812#3387C2×C8311yescharacteristic, complemented
813#3375C2×C8311yescharacteristic, complemented
814#3371C2×C8311yescharacteristic, complemented
815#3350C2×C8311yescharacteristic, complemented
816#3349C2×C8311yescharacteristic, complemented
817#3348C2×C8311yescharacteristic, complemented
818#3346C2×C8311yescharacteristic, complemented
819#3340C2×C8311yescharacteristic, complemented
820#3336C2×C8311yescharacteristic, complemented
821#3317C2×C8311yescharacteristic, complemented
822#3316C2×C8311yescharacteristic, complemented
823#3313C2×C8311yescharacteristic, complemented
824#3313C2×C8311yescharacteristic, complemented
825#3304C2×C8311yescharacteristic, complemented
826#3300C2×C8311yescharacteristic, complemented
827#3260C2×C8311yescharacteristic, complemented
828#3258C2×C8311yescharacteristic, complemented
829#3248C2×C8311yescharacteristic, complemented
830#3244C2×C8311yescharacteristic, complemented
831#3241C2×C8311yescharacteristic, complemented
832#3240C2×C8311yescharacteristic, complemented
833#3127C2×C8311yescharacteristic, complemented
834#3120C2×C8311yescharacteristic, complemented
835#3116C2×C8311yescharacteristic, complemented
836#3083C2×C8311yescharacteristic, complemented
837#3082C2×C8311yescharacteristic, complemented
838#3076C2×C8311yescharacteristic, complemented
839#2992C2×C8311yescharacteristic, complemented
840C83#6217411yescharacteristic, direct product factor, Sylow
841#563—21no—
842#563—21no—
843#559—21no—
844#559C22×C8311yescharacteristic
845Q82C22×C8311yescharacteristic
846#557—21no—
847#557C22×C8311yescharacteristic
848#557C22×C8311yescharacteristic
849#556—21no—
850#556C22×C8311yescharacteristic
851#556C22×C8311yescharacteristic
852#556C22×C8311yescharacteristic
853#555—21no—
854#555C22×C8311yescharacteristic
855#554C22×C8311yescharacteristic
856#553—21no—
857#553C22×C8311yescharacteristic
858#552—21no—
859#552C22×C8311yescharacteristic
860#552C22×C8311yescharacteristic
861#552C22×C8311yescharacteristic
862#550C22×C8311yescharacteristic
863#548C22×C8311yescharacteristic
864#548C22×C8311yescharacteristic
865#544C22×C8311yescharacteristic
866#544C22×C8311yescharacteristic
867#542—21no—
868#542—21no—
869#542C22×C8311yescharacteristic
870#541—21no—
871#541—21no—
872#541—21no—
873#541C22×C8311yescharacteristic
874#541C22×C8311yescharacteristic
875#540—21no—
876#540C22×C8311yescharacteristic
877#533C22×C8311yescharacteristic
878#533C22×C8311yescharacteristic
879#529—21no—
880#529—21no—
881#529C22×C8311yescharacteristic
882#529C22×C8311yescharacteristic
883#520C22×C8311yescharacteristic
884#519C22×C8311yescharacteristic
885C4×#41C22×C8311yescharacteristic
886#501C22×C8311yescharacteristic
887#501C22×C8311yescharacteristic
888#501C22×C8311yescharacteristic
889#501C22×C8311yescharacteristic
890#499C22×C8311yescharacteristic
891#498C22×C8311yescharacteristic
892#490C22×C8311yescharacteristic
893#489C22×C8311yescharacteristic
894#489C22×C8311yescharacteristic
895#489C22×C8311yescharacteristic
896#488C22×C8311yescharacteristic
897#486C22×C8311yescharacteristic
898#485C22×C8311yescharacteristic
899#485C22×C8311yescharacteristic
900#485C22×C8311yescharacteristic
901#485C22×C8311yescharacteristic
902#485C22×C8311yescharacteristic
903#485C22×C8311yescharacteristic
904#485C22×C8311yescharacteristic
905#484C22×C8311yescharacteristic
906#483C22×C8311yescharacteristic
907#483C22×C8311yescharacteristic
908#482C22×C8311yescharacteristic
909#482C22×C8311yescharacteristic
910#482C22×C8311yescharacteristic
911#482C22×C8311yescharacteristic
912#482C22×C8311yescharacteristic
913#481C22×C8311yescharacteristic
914#481C22×C8311yescharacteristic
915#480C22×C8311yescharacteristic
916#479C22×C8311yescharacteristic
917#479C22×C8311yescharacteristic
918#479C22×C8311yescharacteristic
919#479C22×C8311yescharacteristic
920#479C22×C8311yescharacteristic
921#479C22×C8311yescharacteristic
922#479C22×C8311yescharacteristic
923#479C22×C8311yescharacteristic
924#479C22×C8311yescharacteristic
925#479C22×C8311yescharacteristic
926#479C22×C8311yescharacteristic
927#478C22×C8311yescharacteristic
928#478C22×C8311yescharacteristic
929#478C22×C8311yescharacteristic
930#478C22×C8311yescharacteristic
931#478C22×C8311yescharacteristic
932#477C22×C8311yescharacteristic
933#477C22×C8311yescharacteristic
934#477C22×C8311yescharacteristic
935#477C22×C8311yescharacteristic
936#477C22×C8311yescharacteristic
937#476C22×C8311yescharacteristic
938#476C22×C8311yescharacteristic
939#475C22×C8311yescharacteristic
940#475C22×C8311yescharacteristic
941#475C22×C8311yescharacteristic
942#475C22×C8311yescharacteristic
943#474C22×C8311yescharacteristic
944#474C22×C8311yescharacteristic
945#474C22×C8311yescharacteristic
946#470C22×C8311yescharacteristic
947#468C22×C8311yescharacteristic
948#468C22×C8311yescharacteristic
949#468C22×C8311yescharacteristic
950#467C22×C8311yescharacteristic
951#467C22×C8311yescharacteristic
952#467C22×C8311yescharacteristic
953#465C22×C8311yescharacteristic
954#465C22×C8311yescharacteristic
955#465C22×C8311yescharacteristic
956#465C22×C8311yescharacteristic
957#465C22×C8311yescharacteristic
958#464C22×C8311yescharacteristic
959#464C22×C8311yescharacteristic
960#464C22×C8311yescharacteristic
961#464C22×C8311yescharacteristic
962#462C22×C8311yescharacteristic
963#462C22×C8311yescharacteristic
964#461C22×C8311yescharacteristic
965#461C22×C8311yescharacteristic
966#460C22×C8311yescharacteristic
967#460C22×C8311yescharacteristic
968#452C22×C8311yescharacteristic
969#452C22×C8311yescharacteristic
970#452C22×C8311yescharacteristic
971#452C22×C8311yescharacteristic
972#451C22×C8311yescharacteristic
973#451C22×C8311yescharacteristic
974#446C22×C8311yescharacteristic
975#446C22×C8311yescharacteristic
976#441C22×C8311yescharacteristic
977#441C22×C8311yescharacteristic
978#441C22×C8311yescharacteristic
979#441C22×C8311yescharacteristic
980#441C22×C8311yescharacteristic
981#440C22×C8311yescharacteristic
982#440C22×C8311yescharacteristic
983#440C22×C8311yescharacteristic
984C4×Q16C22×C8311yescharacteristic
985C4×Q16C22×C8311yescharacteristic
986C4×Q16C22×C8311yescharacteristic
987C4×SD16C22×C8311yescharacteristic
988#435C22×C8311yescharacteristic
989#435C22×C8311yescharacteristic
990#435C22×C8311yescharacteristic
991#435C22×C8311yescharacteristic
992C8×D4C22×C8311yescharacteristic
993C8×D4C22×C8311yescharacteristic
994#433C22×C8311yescharacteristic
995#433C22×C8311yescharacteristic
996#432C22×C8311yescharacteristic
997#428C22×C8311yescharacteristic
998#428C22×C8311yescharacteristic
999#427C22×C8311yescharacteristic
1000#427C22×C8311yescharacteristic
1001#427C22×C8311yescharacteristic
1002C2×#107C22×C8311yescharacteristic
1003#424C22×C8311yescharacteristic
1004#424C22×C8311yescharacteristic
1005C2×C4⋊C8C22×C8311yescharacteristic
1006#419C22×C8311yescharacteristic
1007#417C22×C8311yescharacteristic
1008#416C22×C8311yescharacteristic
1009#416C22×C8311yescharacteristic
1010#416C22×C8311yescharacteristic
1011C2×#103C22×C8311yescharacteristic
1012C2×#41C23×C8311yescharacteristic
1013C2×#41C23×C8311yescharacteristic
1014C22×Q8C23×C8311yescharacteristic
1015C2×Q16C23×C8311yescharacteristic
1016C2×Q16C23×C8311yescharacteristic
1017C2×Q16C23×C8311yescharacteristic
1018C2×Q16C23×C8311yescharacteristic
1019C2×SD16C23×C8311yescharacteristic
1020C2×SD16C23×C8311yescharacteristic
1021C2×SD16C23×C8311yescharacteristic
1022C2×SD16C23×C8311yescharacteristic
1023C2×M16C23×C8311yescharacteristic
1024C2×M16C23×C8311yescharacteristic
1025C22×C8C23×C8311yescharacteristic
1026C22×C8C23×C8311yescharacteristic
1027C22×C8C23×C8311yescharacteristic
1028C22×C8C23×C8311yescharacteristic
1029C4⋊Q8—21no—
1030C4⋊Q8—21no—
1031C4⋊Q8—21no—
1032C4⋊Q8—21no—
1033C4⋊Q8—21no—
1034C4⋊Q8—21no—
1035C4⋊Q8—21no—
1036C4⋊Q8C23×C8311yescharacteristic
1037C4⋊Q8C23×C8311yescharacteristic
1038C4⋊Q8C23×C8311yescharacteristic
1039C4⋊Q8C23×C8311yescharacteristic
1040C4⋊Q8C23×C8311yescharacteristic
1041C4⋊Q8C23×C8311yescharacteristic
1042C4⋊Q8C23×C8311yescharacteristic
1043#127—21no—
1044#127C23×C8311yescharacteristic
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#126—21no—
1054#126—21no—
1055#126—21no—
1056#126—21no—
1057#126—21no—
1058#126—21no—
1059#126—21no—
1060#126—21no—
1061#126D4×C8311yescharacteristic
1062#126D4×C8311yescharacteristic
1063#125—21no—
1064#125—21no—
1065#125—21no—
1066#125—21no—
1067#125—21no—
1068#125—21no—
1069#125—21no—
1070#125—21no—
1071#125—21no—
1072#125—21no—
1073#125—21no—
1074#125—21no—
1075#125—21no—
1076#125—21no—
1077#125—21no—
1078#125D4×C8311yescharacteristic
1079#125C23×C8311yescharacteristic
1080#125C23×C8311yescharacteristic
1081#125C23×C8311yescharacteristic
1082#125C23×C8311yescharacteristic
1083#125C23×C8311yescharacteristic
1084#125C23×C8311yescharacteristic
1085#124—21no—
1086#124—21no—
1087#124—21no—
1088#124—21no—
1089#124—21no—
1090#124—21no—
1091#124—21no—
1092#124—21no—
1093#124—21no—
1094#124D4×C8311yescharacteristic
1095#124C23×C8311yescharacteristic
1096#124C23×C8311yescharacteristic
1097#123—21no—
1098#123—21no—
1099#123—21no—
1100#123—21no—
1101#123—21no—
1102#123—21no—
1103#123—21no—
1104#123—21no—
1105#123—21no—
1106#123—21no—
1107#123D4×C8311yescharacteristic
1108#123D4×C8311yescharacteristic
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⋊Q8—21no—
1120C22⋊Q8—21no—
1121C22⋊Q8D4×C8311yescharacteristic
1122C22⋊Q8C23×C8311yescharacteristic
1123C22⋊Q8C23×C8311yescharacteristic
1124C22⋊Q8C23×C8311yescharacteristic
1125C22⋊Q8C23×C8311yescharacteristic
1126C22⋊Q8C23×C8311yescharacteristic
1127C22⋊Q8C23×C8311yescharacteristic
1128C22⋊Q8C23×C8311yescharacteristic
1129C22⋊Q8C23×C8311yescharacteristic
1130#121—21no—
1131#121—21no—
1132#121—21no—
1133#121—21no—
1134#121—21no—
1135#121—21no—
1136#121—21no—
1137#121—21no—
1138#121D4×C8311yescharacteristic
1139#121C23×C8311yescharacteristic
1140#121C23×C8311yescharacteristic
1141#121C23×C8311yescharacteristic
1142#121C23×C8311yescharacteristic
1143C4×Q8—21no—
1144C4×Q8—21no—
1145C4×Q8—21no—
1146C4×Q8—21no—
1147C4×Q8—21no—
1148C4×Q8—21no—
1149C4×Q8—21no—
1150C4×Q8—21no—
1151C4×Q8—21no—
1152C4×Q8—21no—
1153C4×Q8—21no—
1154C4×Q8C23×C8311yescharacteristic
1155C4×Q8C23×C8311yescharacteristic
1156C4×Q8C23×C8311yescharacteristic
1157C4×Q8C23×C8311yescharacteristic
1158C4×Q8C23×C8311yescharacteristic
1159C4×Q8C23×C8311yescharacteristic
1160C4×Q8C23×C8311yescharacteristic
1161C4×Q8C23×C8311yescharacteristic
1162C4×Q8C23×C8311yescharacteristic
1163C4×Q8C23×C8311yescharacteristic
1164C4×Q8C23×C8311yescharacteristic
1165C4×Q8C23×C8311yescharacteristic
1166C4×Q8C23×C8311yescharacteristic
1167C4×D4—21no—
1168C4×D4—21no—
1169C4×D4—21no—
1170C4×D4—21no—
1171C4×D4—21no—
1172C4×D4—21no—
1173C4×D4—21no—
1174C4×D4—21no—
1175C4×D4—21no—
1176C4×D4—21no—
1177C4×D4—21no—
1178C4×D4C23×C8311yescharacteristic
1179C4×D4C23×C8311yescharacteristic
1180C4×D4C23×C8311yescharacteristic
1181C4×D4C23×C8311yescharacteristic
1182C4×D4C23×C8311yescharacteristic
1183C4×D4C23×C8311yescharacteristic
1184C4×D4C23×C8311yescharacteristic
1185#117—21no—
1186#117—21no—
1187#117—21no—
1188#117—21no—
1189#117—21no—
1190#117—21no—
1191#117—21no—
1192#117—21no—
1193#117—21no—
1194#117—21no—
1195#117C23×C8311yescharacteristic
1196#117C23×C8311yescharacteristic
1197#117C23×C8311yescharacteristic
1198#117C23×C8311yescharacteristic
1199#117C23×C8311yescharacteristic
1200#117C23×C8311yescharacteristic
1201#117C23×C8311yescharacteristic
1202#117C23×C8311yescharacteristic
1203C2×C4⋊C4—21no—
1204C2×C4⋊C4C23×C8311yescharacteristic
1205C2×C4⋊C4C23×C8311yescharacteristic
1206C2×C4⋊C4C23×C8311yescharacteristic
1207C2×C42—21no—
1208C2×C42C23×C8311yescharacteristic
1209#107C23×C8311yescharacteristic
1210#107C23×C8311yescharacteristic
1211#107C23×C8311yescharacteristic
1212#107C23×C8311yescharacteristic
1213#107C23×C8311yescharacteristic
1214#107C23×C8311yescharacteristic
1215#107C23×C8311yescharacteristic
1216#107C23×C8311yescharacteristic
1217#107C23×C8311yescharacteristic
1218#107C23×C8311yescharacteristic
1219#107C23×C8311yescharacteristic
1220#107C23×C8311yescharacteristic
1221#106C23×C8311yescharacteristic
1222#106C23×C8311yescharacteristic
1223#106C23×C8311yescharacteristic
1224#106C23×C8311yescharacteristic
1225#106C23×C8311yescharacteristic
1226#106C23×C8311yescharacteristic
1227#106C23×C8311yescharacteristic
1228#106C23×C8311yescharacteristic
1229#106C23×C8311yescharacteristic
1230#106C23×C8311yescharacteristic
1231#106C23×C8311yescharacteristic
1232#106C23×C8311yescharacteristic
1233C4⋊C8C23×C8311yescharacteristic
1234C4⋊C8C23×C8311yescharacteristic
1235C4⋊C8C23×C8311yescharacteristic
1236C4⋊C8C23×C8311yescharacteristic
1237C4⋊C8C23×C8311yescharacteristic
1238C4⋊C8C23×C8311yescharacteristic
1239C4⋊C8C23×C8311yescharacteristic
1240C4⋊C8C23×C8311yescharacteristic
1241C4⋊C8C23×C8311yescharacteristic
1242C4⋊C8C23×C8311yescharacteristic
1243#103C23×C8311yescharacteristic
1244#103C23×C8311yescharacteristic
1245#103C23×C8311yescharacteristic
1246#103C23×C8311yescharacteristic
1247#103C23×C8311yescharacteristic
1248#103C23×C8311yescharacteristic
1249#103C23×C8311yescharacteristic
1250#103C23×C8311yescharacteristic
1251#103C23×C8311yescharacteristic
1252#103C23×C8311yescharacteristic
1253#103C23×C8311yescharacteristic
1254#103C23×C8311yescharacteristic
1255#103C23×C8311yescharacteristic
1256#103C23×C8311yescharacteristic
1257#103C23×C8311yescharacteristic
1258#103C23×C8311yescharacteristic
1259#103C23×C8311yescharacteristic
1260#103C23×C8311yescharacteristic
1261#103C23×C8311yescharacteristic
1262#103C23×C8311yescharacteristic
1263#102C23×C8311yescharacteristic
1264#102C23×C8311yescharacteristic
1265#102C23×C8311yescharacteristic
1266#102C23×C8311yescharacteristic
1267#102C23×C8311yescharacteristic
1268#102C23×C8311yescharacteristic
1269#102C23×C8311yescharacteristic
1270#102C23×C8311yescharacteristic
1271#102C23×C8311yescharacteristic
1272#102C23×C8311yescharacteristic
1273#102C23×C8311yescharacteristic
1274#102C23×C8311yescharacteristic
1275C22⋊C8C23×C8311yescharacteristic
1276C22⋊C8C23×C8311yescharacteristic
1277C22⋊C8C23×C8311yescharacteristic
1278C22⋊C8C23×C8311yescharacteristic
1279C22⋊C8C23×C8311yescharacteristic
1280C22⋊C8C23×C8311yescharacteristic
1281#97C23×C8311yescharacteristic
1282#97C23×C8311yescharacteristic
1283#97C23×C8311yescharacteristic
1284#97C23×C8311yescharacteristic
1285C4×C8C23×C8311yescharacteristic
1286C4×C8C23×C8311yescharacteristic
1287#41—22no—
1288#41—22no—
1289#41—41no—
1290#41—41no—
1291C2×Q8—21no—
1292C2×Q8—21no—
1293C2×Q8—21no—
1294C2×Q8—21no—
1295C2×Q8—21no—
1296C2×Q8—21no—
1297C2×Q8—21no—
1298C2×Q8—22no—
1299C2×Q8—41no—
1300C2×Q8C2×D4×C8311yescharacteristic
1301C2×Q8C24×C8311yescharacteristic
1302C2×Q8C24×C8311yescharacteristic
1303C2×Q8C24×C8311yescharacteristic
1304C2×Q8C24×C8311yescharacteristic
1305C2×D4—21no—
1306C2×D4—21no—
1307C2×D4—21no—
1308C2×D4—21no—
1309C2×D4—21no—
1310C2×D4—21no—
1311C2×D4—21no—
1312C2×D4—21no—
1313C2×D4C2×D4×C8311yescharacteristic
1314C2×D4C2×D4×C8311yescharacteristic
1315C2×D4C2×D4×C8311yescharacteristic
1316C2×D4C24×C8311yescharacteristic
1317C2×D4C24×C8311yescharacteristic
1318C22×C4—21no—
1319C22×C4—21no—
1320C22×C4—21no—
1321C22×C4—21no—
1322C22×C4—21no—
1323C22×C4—21no—
1324C22×C4—21no—
1325C22×C4—21no—
1326C22×C4—21no—
1327C22×C4—21no—
1328C22×C4C2×D4×C8311yescharacteristic
1329C22×C4C2×D4×C8311yescharacteristic
1330C22×C4C24×C8311yescharacteristic
1331C22×C4C24×C8311yescharacteristic
1332C22×C4C24×C8311yescharacteristic
1333Q16—22no—
1334Q16—22no—
1335Q16—41no—
1336Q16—41no—
1337SD16—41no—
1338SD16—41no—
1339SD16—41no—
1340SD16—41no—
1341M16—41no—
1342M16—41no—
1343C2×C8—41no—
1344C2×C8—41no—
1345C2×C8—41no—
1346C2×C8—41no—
1347C2×C8C24×C8311yescharacteristic
1348C2×C8C24×C8311yescharacteristic
1349C2×C8C24×C8311yescharacteristic
1350C2×C8C24×C8311yescharacteristic
1351C2×C8C24×C8311yescharacteristic
1352C2×C8C24×C8311yescharacteristic
1353C2×C8C24×C8311yescharacteristic
1354C2×C8C24×C8311yescharacteristic
1355C4⋊C4—21no—
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—21no—
1362C4⋊C4—21no—
1363C4⋊C4—21no—
1364C4⋊C4—21no—
1365C4⋊C4—21no—
1366C4⋊C4—21no—
1367C4⋊C4—21no—
1368C4⋊C4—21no—
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—21no—
1377C4⋊C4—21no—
1378C4⋊C4—21no—
1379C4⋊C4—21no—
1380C4⋊C4—21no—
1381C4⋊C4—21no—
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—21no—
1385C4⋊C4—21no—
1386C4⋊C4—21no—
1387C4⋊C4—21no—
1388C4⋊C4—21no—
1389C4⋊C4—21no—
1390C4⋊C4—21no—
1391C4⋊C4—21no—
1392C4⋊C4—21no—
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4C2×D4×C8311yescharacteristic
1399C4⋊C4C2×D4×C8311yescharacteristic
1400C4⋊C4C2×D4×C8311yescharacteristic
1401C4⋊C4C2×D4×C8311yescharacteristic
1402C4⋊C4C2×D4×C8311yescharacteristic
1403C4⋊C4C2×D4×C8311yescharacteristic
1404C4⋊C4C2×D4×C8311yescharacteristic
1405C4⋊C4C2×D4×C8311yescharacteristic
1406C4⋊C4C2×D4×C8311yescharacteristic
1407C4⋊C4C2×D4×C8311yescharacteristic
1408C4⋊C4C24×C8311yescharacteristic
1409C4⋊C4C24×C8311yescharacteristic
1410C4⋊C4C24×C8311yescharacteristic
1411C4⋊C4C24×C8311yescharacteristic
1412C4⋊C4C24×C8311yescharacteristic
1413C4⋊C4C24×C8311yescharacteristic
1414C4⋊C4C24×C8311yescharacteristic
1415C4⋊C4C24×C8311yescharacteristic
1416C4⋊C4C24×C8311yescharacteristic
1417C4⋊C4C24×C8311yescharacteristic
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⋊C4—21no—
1438C22⋊C4—21no—
1439C22⋊C4—21no—
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4C2×D4×C8311yescharacteristic
1445C22⋊C4C2×D4×C8311yescharacteristic
1446C22⋊C4C2×D4×C8311yescharacteristic
1447C22⋊C4C2×D4×C8311yescharacteristic
1448C22⋊C4C2×D4×C8311yescharacteristic
1449C22⋊C4C2×D4×C8311yescharacteristic
1450C22⋊C4C2×D4×C8311yescharacteristic
1451C22⋊C4C2×D4×C8311yescharacteristic
1452C22⋊C4C2×D4×C8311yescharacteristic
1453C22⋊C4C2×D4×C8311yescharacteristic
1454C42—21no—
1455C42—21no—
1456C42—21no—
1457C42—21no—
1458C42—21no—
1459C42—21no—
1460C42—21no—
1461C42—21no—
1462C42—21no—
1463C42—21no—
1464C42—21no—
1465C42—21no—
1466C42—21no—
1467C42—21no—
1468C42—21no—
1469C42—21no—
1470C42—21no—
1471C42—21no—
1472C42C2×D4×C8311yescharacteristic
1473C42C2×D4×C8311yescharacteristic
1474C42C24×C8311yescharacteristic
1475C42C24×C8311yescharacteristic
1476C42C24×C8311yescharacteristic
1477C42C24×C8311yescharacteristic
1478C23—21no—
1479C23—21no—
1480C23C22×D4×C8311yescharacteristic
1481C23C22×D4×C8311yescharacteristic
1482C23C22×D4×C8311yescharacteristic
1483Q8—21no—
1484Q8—21no—
1485Q8—21no—
1486Q8—21no—
1487Q8—21no—
1488Q8—21no—
1489Q8—21no—
1490Q8—41no—
1491Q8—42no—
1492Q8—42no—
1493Q8—81no—
1494Q8—81no—
1495Q8—81no—
1496Q8—81no—
1497Q8—81no—
1498Q82−1+4×C8312yes—
1499D4—21no—
1500D4—21no—
1501D4—21no—
1502D4—21no—
1503D4—41no—
1504D4—41no—
1505D4—41no—
1506D4—42no—
1507D4—42no—
1508D4—81no—
1509D4—81no—
1510D4—81no—
1511D4—81no—
1512D4—81no—
1513D4—81no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—41no—
1535C2×C4—41no—
1536C2×C4—42no—
1537C2×C4—42no—
1538C2×C4—42no—
1539C2×C4—81no—
1540C2×C4—81no—
1541C2×C4—81no—
1542C2×C4—81no—
1543C2×C4—81no—
1544C2×C4—81no—
1545C2×C4—81no—
1546C2×C4C22×D4×C8311yescharacteristic
1547C2×C4C22×D4×C8311yescharacteristic
1548C2×C4C22×D4×C8311yescharacteristic
1549C2×C4C22×D4×C8311yescharacteristic
1550C2×C4C22×D4×C8311yescharacteristic
1551C2×C4C22×D4×C8311yescharacteristic
1552C2×C4C22×D4×C8311yescharacteristic
1553C2×C4C22×D4×C8311yescharacteristic
1554C2×C4C22×D4×C8311yescharacteristic
1555C2×C4C22×D4×C8311yescharacteristic
1556C2×C4C22×D4×C8311yescharacteristic
1557C2×C4C25×C8311yescharacteristic
1558C8—21no—
1559C8—21no—
1560C8—21no—
1561C8—21no—
1562C8—21no—
1563C8—21no—
1564C8—21no—
1565C8—21no—
1566C22—21no—
1567C22—21no—
1568C22—21no—
1569C22—21no—
1570C22—21no—
1571C22—21no—
1572C22—21no—
1573C22—21no—
1574C22—21no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22C23×D4×C8311yescharacteristic
1582C4—21no—
1583C4—21no—
1584C4—21no—
1585C4—21no—
1586C4—21no—
1587C4—21no—
1588C4—21no—
1589C4—21no—
1590C4—21no—
1591C4—21no—
1592C4—21no—
1593C4—22no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4C2×2−1+4×C8311yescharacteristic
1608C4#585×C8311yescharacteristic
1609C2—41no—
1610C2—41no—
1611C2—41no—
1612C2—81no—
1613C2—81no—
1614C2C83×#348911yescharacteristic
1615C2C83×#358411yescharacteristic
1616C2C83×#358611yescharacteristic
subgroupG/H
center, socleC22×C83C23×D4
commutator, Frattini, cosocleC2×C4C25×C83
prime radicalC83×#3524C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C83 ◁ #529×C83 ◁ G

Complements

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

NH ≅ G/Ntype
1. C83×#3555C2semidirect
3. C83×#3390C2semidirect
4. C83×#3387C2semidirect
5. C83×#3375C2semidirect
6. C83×#3371C2semidirect
7. C83×#3350C2semidirect
8. C83×#3349C2semidirect
9. C83×#3348C2semidirect
10. C83×#3346C2semidirect
11. C83×#3340C2semidirect
12. C83×#3336C2semidirect
13. C83×#3317C2semidirect
14. C83×#3316C2semidirect
15. C83×#3313C2semidirect
16. C83×#3313C2semidirect
17. C83×#3304C2semidirect
18. C83×#3300C2semidirect
19. C83×#3260C2semidirect
20. C83×#3258C2semidirect
21. C83×#3248C2semidirect
22. C83×#3244C2semidirect
23. C83×#3241C2semidirect
24. C83×#3240C2semidirect
25. C83×#3127C2semidirect
26. C83×#3120C2semidirect
27. C83×#3116C2semidirect
28. C83×#3083C2semidirect
29. C83×#3082C2semidirect
30. C83×#3076C2semidirect
31. C83×#2992C2semidirect
800. #62174C83direct (N × H)
809. #3555C2×C83semidirect
811. #3390C2×C83semidirect
812. #3387C2×C83semidirect
813. #3375C2×C83semidirect
814. #3371C2×C83semidirect
815. #3350C2×C83semidirect
816. #3349C2×C83semidirect
817. #3348C2×C83semidirect
818. #3346C2×C83semidirect
819. #3340C2×C83semidirect
820. #3336C2×C83semidirect
821. #3317C2×C83semidirect
822. #3316C2×C83semidirect
823. #3313C2×C83semidirect
824. #3313C2×C83semidirect
825. #3304C2×C83semidirect
826. #3300C2×C83semidirect
827. #3260C2×C83semidirect
828. #3258C2×C83semidirect
829. #3248C2×C83semidirect
830. #3244C2×C83semidirect
831. #3241C2×C83semidirect
832. #3240C2×C83semidirect
833. #3127C2×C83semidirect
834. #3120C2×C83semidirect
835. #3116C2×C83semidirect
836. #3083C2×C83semidirect
837. #3082C2×C83semidirect
838. #3076C2×C83semidirect
839. #2992C2×C83semidirect
840. C83#62174direct (N × H)

Maximal subgroups

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

subgroupindex
C83×#35552
C83×#35242
C83×#33902
C83×#33872
C83×#33752
C83×#33712
C83×#33502
C83×#33492
C83×#33482
C83×#33462
C83×#33402
C83×#33362
C83×#33172
C83×#33162
C83×#33132
C83×#33042
C83×#33002
C83×#32602
C83×#32582
C83×#32482
C83×#32442
C83×#32412
C83×#32402
C83×#31272
C83×#31202
C83×#31162
C83×#30832
C83×#30822
C83×#30762
C83×#29922
#6217483