Finite Group Databasebeta

← C83×#62195 #35290019

Subgroups — C83×#62195 #35290019

Order 21248.

1708 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C83×#3559C211yesmaximal, characteristic, complemented
2C83×#3521C211yesmaximal, characteristic, complemented
3C83×#3389C211yesmaximal, characteristic, complemented
4C83×#3380C211yesmaximal, characteristic, complemented
5C83×#3376C211yesmaximal, characteristic, complemented
6C83×#3360C211yesmaximal, characteristic, complemented
7C83×#3355C211yesmaximal, characteristic, complemented
8C83×#3353C211yesmaximal, characteristic, complemented
9C83×#3351C211yesmaximal, characteristic, complemented
10C83×#3350C211yesmaximal, characteristic, complemented
11C83×#3345C211yesmaximal, characteristic, complemented
12C83×#3337C211yesmaximal, characteristic, complemented
13C83×#3330C211yesmaximal, characteristic, complemented
14C83×#3322C211yesmaximal, characteristic, complemented
15C83×#3322C211yesmaximal, characteristic, complemented
16C83×#3307C211yesmaximal, characteristic, complemented
17C83×#3306C211yesmaximal, characteristic, complemented
18C83×#3297C211yesmaximal, characteristic, complemented
19C83×#3260C211yesmaximal, characteristic, complemented
20C83×#3257C211yesmaximal, characteristic, complemented
21C83×#3251C211yesmaximal, characteristic, complemented
22C83×#3243C211yesmaximal, characteristic, complemented
23C83×#3242C211yesmaximal, characteristic, complemented
24C83×#3232C211yesmaximal, characteristic, complemented
25C83×#3122C211yesmaximal, characteristic, complemented
26C83×#3119C211yesmaximal, characteristic, complemented
27C83×#3106C211yesmaximal, characteristic, complemented
28C83×#3084C211yesmaximal, characteristic, complemented
29C83×#3081C211yesmaximal, characteristic, complemented
30C83×#3080C211yesmaximal, characteristic, complemented
31C83×#2993C211yesmaximal, characteristic, complemented
32#563×C83—21no—
33#562×C83—21no—
34#556×C83C2211yescharacteristic
35#556×C83C2211yescharacteristic
36#554×C83C2211yescharacteristic
37#554×C83C2211yescharacteristic, complemented
38#554×C83C2211yescharacteristic, complemented
39#553×C83—21no—
40#553×C83C2211yescharacteristic
41#553×C83C2211yescharacteristic
42#553×C83C2211yescharacteristic
43#553×C83C2211yescharacteristic
44#553×C83C2211yescharacteristic, complemented
45#552×C83—21no—
46#552×C83C2211yescharacteristic
47#551×C83—21no—
48#551×C83—21no—
49#547×C83—21no—
50#547×C83—21no—
51#547×C83C2211yescharacteristic
52#547×C83C2211yescharacteristic
53#547×C83C2211yescharacteristic, complemented
54#546×C83C2211yescharacteristic
55#546×C83C2211yescharacteristic
56#544×C83C2211yescharacteristic
57#544×C83C2211yescharacteristic, complemented
58#542×C83C2211yescharacteristic
59#541×C83C2211yescharacteristic
60#540×C83C2211yescharacteristic
61#540×C83C2211yescharacteristic, complemented
62#539×C83—21no—
63#539×C83—21no—
64#539×C83—21no—
65#539×C83—21no—
66#538×C83—21no—
67#537×C83—21no—
68#532×C83C2211yescharacteristic, complemented
69#529×C83—21no—
70#529×C83C2211yescharacteristic
71#529×C83C2211yescharacteristic
72C2×#126×C83—21no—
73C2×#125×C83C2211yescharacteristic, complemented
74#520×C83C2211yescharacteristic
75#518×C83C2211yescharacteristic
76C4×#41×C83C2211yescharacteristic
77#501×C83C2211yescharacteristic, complemented
78#501×C83C2211yescharacteristic, complemented
79#500×C83C2211yescharacteristic, complemented
80#499×C83C2211yescharacteristic, complemented
81#499×C83C2211yescharacteristic, complemented
82#499×C83C2211yescharacteristic, complemented
83#491×C83C2211yescharacteristic, complemented
84#489×C83C2211yescharacteristic
85#488×C83C2211yescharacteristic
86#488×C83C2211yescharacteristic
87#488×C83C2211yescharacteristic
88#487×C83C2211yescharacteristic, complemented
89#485×C83C2211yescharacteristic
90#485×C83C2211yescharacteristic
91#485×C83C2211yescharacteristic, complemented
92#484×C83C2211yescharacteristic
93#484×C83C2211yescharacteristic, complemented
94#484×C83C2211yescharacteristic, complemented
95#483×C83C2211yescharacteristic
96#483×C83C2211yescharacteristic, complemented
97#482×C83C2211yescharacteristic
98#482×C83C2211yescharacteristic
99#482×C83C2211yescharacteristic
100#482×C83C2211yescharacteristic, complemented
101#482×C83C2211yescharacteristic, complemented
102#481×C83C2211yescharacteristic
103#481×C83C2211yescharacteristic, complemented
104#480×C83C2211yescharacteristic
105#480×C83C2211yescharacteristic
106#480×C83C2211yescharacteristic, complemented
107#479×C83C2211yescharacteristic, complemented
108#479×C83C2211yescharacteristic, complemented
109#479×C83C2211yescharacteristic, complemented
110#479×C83C2211yescharacteristic, complemented
111#479×C83C2211yescharacteristic, complemented
112#479×C83C2211yescharacteristic, complemented
113#479×C83C2211yescharacteristic, complemented
114#478×C83C2211yescharacteristic
115#478×C83C2211yescharacteristic
116#478×C83C2211yescharacteristic
117#478×C83C2211yescharacteristic
118#478×C83C2211yescharacteristic
119#478×C83C2211yescharacteristic
120#478×C83C2211yescharacteristic
121#478×C83C2211yescharacteristic
122#478×C83C2211yescharacteristic
123#478×C83C2211yescharacteristic, complemented
124#478×C83C2211yescharacteristic, complemented
125#478×C83C2211yescharacteristic, complemented
126#478×C83C2211yescharacteristic, complemented
127#477×C83C2211yescharacteristic, complemented
128#476×C83C2211yescharacteristic
129#476×C83C2211yescharacteristic
130#476×C83C2211yescharacteristic
131#476×C83C2211yescharacteristic, complemented
132#475×C83C2211yescharacteristic, complemented
133#475×C83C2211yescharacteristic, complemented
134#474×C83C2211yescharacteristic
135#474×C83C2211yescharacteristic
136#474×C83C2211yescharacteristic, complemented
137#469×C83C2211yescharacteristic
138#469×C83C2211yescharacteristic
139#469×C83C2211yescharacteristic
140#468×C83C2211yescharacteristic
141#468×C83C2211yescharacteristic
142#468×C83C2211yescharacteristic, complemented
143#468×C83C2211yescharacteristic, complemented
144#468×C83C2211yescharacteristic, complemented
145#466×C83C2211yescharacteristic
146#465×C83C2211yescharacteristic
147#465×C83C2211yescharacteristic
148#465×C83C2211yescharacteristic, complemented
149#463×C83C2211yescharacteristic
150#463×C83C2211yescharacteristic
151#463×C83C2211yescharacteristic
152#463×C83C2211yescharacteristic
153#461×C83C2211yescharacteristic, complemented
154#461×C83C2211yescharacteristic, complemented
155#460×C83C2211yescharacteristic, complemented
156#460×C83C2211yescharacteristic, complemented
157#459×C83C2211yescharacteristic
158#459×C83C2211yescharacteristic
159#449×C83C2211yescharacteristic
160#449×C83C2211yescharacteristic
161#449×C83C2211yescharacteristic
162#449×C83C2211yescharacteristic
163#447×C83C2211yescharacteristic
164#447×C83C2211yescharacteristic
165#446×C83C2211yescharacteristic, complemented
166C8×Q8×C83C2211yescharacteristic, complemented
167#442×C83C2211yescharacteristic
168#442×C83C2211yescharacteristic
169#442×C83C2211yescharacteristic
170#440×C83C2211yescharacteristic, complemented
171C4×SD16×C83C2211yescharacteristic, complemented
172C4×SD16×C83C2211yescharacteristic, complemented
173C4×SD16×C83C2211yescharacteristic, complemented
174C4×D8×C83C2211yescharacteristic
175C4×D8×C83C2211yescharacteristic
176C4×D8×C83C2211yescharacteristic
177C4×D8×C83C2211yescharacteristic
178C4×D8×C83C2211yescharacteristic
179#436×C83C2211yescharacteristic
180#436×C83C2211yescharacteristic
181#436×C83C2211yescharacteristic, complemented
182#435×C83C2211yescharacteristic
183#435×C83C2211yescharacteristic, complemented
184C8×D4×C83C2211yescharacteristic
185#433×C83C2211yescharacteristic
186#433×C83C2211yescharacteristic, complemented
187#431×C83C2211yescharacteristic, complemented
188#428×C83C2211yescharacteristic
189#428×C83C2211yescharacteristic, complemented
190#428×C83C2211yescharacteristic, complemented
191#428×C83C2211yescharacteristic, complemented
192#427×C83C2211yescharacteristic
193C2×#106×C83C2211yescharacteristic, complemented
194#424×C83C2211yescharacteristic
195#424×C83C2211yescharacteristic, complemented
196#423×C83C2211yescharacteristic, complemented
197#418×C83C2211yescharacteristic
198#417×C83C2211yescharacteristic
199#417×C83C2211yescharacteristic
200#417×C83C2211yescharacteristic
201#416×C83C2211yescharacteristic
202C2×#102×C83C2211yescharacteristic
203C2×#41×C83—21no—
204C2×#41×C83—21no—
205C2×#41×C83—21no—
206C2×#41×C83C2311yescharacteristic
207C2×#41×C83C2311yescharacteristic
208C22×D4×C83C2311yescharacteristic
209C2×SD16×C83C2311yescharacteristic
210C2×SD16×C83C2311yescharacteristic
211C2×SD16×C83C2311yescharacteristic
212C2×SD16×C83C2311yescharacteristic
213C2×D8×C83C2311yescharacteristic
214C2×D8×C83C2311yescharacteristic
215C2×D8×C83C2311yescharacteristic
216C2×D8×C83C2311yescharacteristic
217C2×M16×C83C2311yescharacteristic
218C2×M16×C83C2311yescharacteristic
219C2×M16×C83C2311yescharacteristic
220C2×M16×C83C2311yescharacteristic
221C22×C8×C83C2311yescharacteristic
222C22×C8×C83C2311yescharacteristic
223C4⋊Q8×C83—21no—
224C4⋊Q8×C83—21no—
225C4⋊Q8×C83C2311yescharacteristic
226C4⋊Q8×C83C2311yescharacteristic
227C4⋊Q8×C83C2311yescharacteristic
228C4⋊Q8×C83C2311yescharacteristic
229C4⋊Q8×C83C2311yescharacteristic
230#127×C83C2311yescharacteristic
231#126×C83—21no—
232#126×C83—21no—
233#126×C83—21no—
234#126×C83—21no—
235#126×C83—21no—
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×C83D411yescharacteristic
246#126×C83D411yescharacteristic
247#125×C83—21no—
248#125×C83—21no—
249#125×C83—21no—
250#125×C83—21no—
251#125×C83—21no—
252#125×C83—21no—
253#125×C83—21no—
254#125×C83D411yescharacteristic
255#125×C83C2311yescharacteristic
256#125×C83C2311yescharacteristic
257#125×C83C2311yescharacteristic
258#125×C83C2311yescharacteristic
259#125×C83C2311yescharacteristic
260#125×C83C2311yescharacteristic
261#125×C83C2311yescharacteristic
262#125×C83C2311yescharacteristic
263#124×C83—21no—
264#124×C83—21no—
265#124×C83—21no—
266#124×C83D411yescharacteristic
267#124×C83C2311yescharacteristic
268#124×C83C2311yescharacteristic
269#123×C83—21no—
270#123×C83—21no—
271#123×C83—21no—
272#123×C83—21no—
273#123×C83—21no—
274#123×C83—21no—
275#123×C83—21no—
276#123×C83—21no—
277#123×C83—21no—
278#123×C83—21no—
279#123×C83—21no—
280#123×C83—21no—
281#123×C83—21no—
282#123×C83—21no—
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×C83D411yescharacteristic
290#123×C83D411yescharacteristic
291C22⋊Q8×C83—21no—
292C22⋊Q8×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×C83D411yescharacteristic
309C22⋊Q8×C83C2311yescharacteristic
310C22⋊Q8×C83C2311yescharacteristic
311C22⋊Q8×C83C2311yescharacteristic
312C22⋊Q8×C83C2311yescharacteristic
313#121×C83—21no—
314#121×C83—21no—
315#121×C83—21no—
316#121×C83—21no—
317#121×C83—21no—
318#121×C83—21no—
319#121×C83—21no—
320#121×C83—21no—
321#121×C83—21no—
322#121×C83—21no—
323#121×C83—21no—
324#121×C83—21no—
325#121×C83—21no—
326#121×C83D411yescharacteristic
327#121×C83C2311yescharacteristic
328#121×C83C2311yescharacteristic
329#121×C83C2311yescharacteristic
330#121×C83C2311yescharacteristic
331#121×C83C2311yescharacteristic
332#121×C83C2311yescharacteristic
333#121×C83C2311yescharacteristic
334#121×C83C2311yescharacteristic
335#120×C83—21no—
336#120×C83—21no—
337C4×Q8×C83—21no—
338C4×Q8×C83C2311yescharacteristic
339C4×Q8×C83C2311yescharacteristic
340C4×Q8×C83C2311yescharacteristic
341C4×Q8×C83C2311yescharacteristic
342C4×Q8×C83C2311yescharacteristic
343C4×D4×C83—21no—
344C4×D4×C83—21no—
345C4×D4×C83—21no—
346C4×D4×C83—21no—
347C4×D4×C83—21no—
348C4×D4×C83—21no—
349C4×D4×C83—21no—
350C4×D4×C83—21no—
351C4×D4×C83—21no—
352C4×D4×C83—21no—
353C4×D4×C83—21no—
354C4×D4×C83—21no—
355C4×D4×C83—21no—
356C4×D4×C83C2311yescharacteristic
357C4×D4×C83C2311yescharacteristic
358C4×D4×C83C2311yescharacteristic
359C4×D4×C83C2311yescharacteristic
360C4×D4×C83C2311yescharacteristic
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
371#117×C83—21no—
372#117×C83—21no—
373#117×C83—21no—
374#117×C83—21no—
375#117×C83—21no—
376#117×C83C2311yescharacteristic
377#117×C83C2311yescharacteristic
378#117×C83C2311yescharacteristic
379#117×C83C2311yescharacteristic
380#117×C83C2311yescharacteristic
381#117×C83C2311yescharacteristic
382C2×C4⋊C4×C83—21no—
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×C83C2311yescharacteristic
390C2×C4⋊C4×C83C2311yescharacteristic
391C2×C4⋊C4×C83C2311yescharacteristic
392C2×C4⋊C4×C83C2311yescharacteristic
393C2×C4⋊C4×C83C2311yescharacteristic
394C2×C22⋊C4×C83—21no—
395C2×C22⋊C4×C83—21no—
396C2×C22⋊C4×C83—21no—
397C2×C22⋊C4×C83—21no—
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#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
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
474C4×C8×C83C2311yescharacteristic
475C4×C8×C83C2311yescharacteristic
476C4×C8×C83C2311yescharacteristic
477C4×C8×C83C2311yescharacteristic
478C24×C83—21no—
479#41×C83—22no—
480#41×C83—22no—
481#41×C83—41no—
482#41×C83—41no—
483#41×C83—82no—
484#41×C83—82no—
485#41×C83—82no—
486C2×Q8×C83—21no—
487C2×Q8×C83—21no—
488C2×Q8×C83—21no—
489C2×Q8×C83—21no—
490C2×Q8×C83C2×D411yescharacteristic
491C2×Q8×C83C2411yescharacteristic
492C2×Q8×C83C2411yescharacteristic
493C2×D4×C83—22no—
494C2×D4×C83—21no—
495C2×D4×C83—21no—
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×C83—21no—
505C2×D4×C83—21no—
506C2×D4×C83—21no—
507C2×D4×C83—41no—
508C2×D4×C83C2×D411yescharacteristic
509C2×D4×C83C2×D411yescharacteristic
510C2×D4×C83C2×D411yescharacteristic
511C2×D4×C83C2411yescharacteristic
512C2×D4×C83C2411yescharacteristic
513C2×D4×C83C2411yescharacteristic
514C2×D4×C83C2411yescharacteristic
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×C83—21no—
524C22×C4×C83—21no—
525C22×C4×C83—21no—
526C22×C4×C83—21no—
527C22×C4×C83—21no—
528C22×C4×C83—21no—
529C22×C4×C83—21no—
530C22×C4×C83—21no—
531C22×C4×C83—21no—
532C22×C4×C83—21no—
533C22×C4×C83—21no—
534C22×C4×C83C2×D411yescharacteristic
535C22×C4×C83C2×D411yescharacteristic
536C22×C4×C83C2411yescharacteristic
537C22×C4×C83C2411yescharacteristic
538C22×C4×C83C2411yescharacteristic
539SD16×C83—41no—
540SD16×C83—41no—
541SD16×C83—41no—
542SD16×C83—41no—
543D8×C83—22no—
544D8×C83—22no—
545D8×C83—41no—
546D8×C83—41no—
547M16×C83—41no—
548M16×C83—41no—
549M16×C83—41no—
550M16×C83—41no—
551C2×C8×C83—41no—
552C2×C8×C83—41no—
553C2×C8×C83C2411yescharacteristic
554C2×C8×C83C2411yescharacteristic
555C2×C8×C83C2411yescharacteristic
556C2×C8×C83C2411yescharacteristic
557C2×C8×C83C2411yescharacteristic
558C2×C8×C83C2411yescharacteristic
559C2×C8×C83C2411yescharacteristic
560C2×C8×C83C2411yescharacteristic
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×C83—21no—
590C4⋊C4×C83—21no—
591C4⋊C4×C83—21no—
592C4⋊C4×C83—21no—
593C4⋊C4×C83—21no—
594C4⋊C4×C83—21no—
595C4⋊C4×C83—21no—
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×C83C2×D411yescharacteristic
603C4⋊C4×C83C2×D411yescharacteristic
604C4⋊C4×C83C2×D411yescharacteristic
605C4⋊C4×C83C2×D411yescharacteristic
606C4⋊C4×C83C2411yescharacteristic
607C4⋊C4×C83C2411yescharacteristic
608C4⋊C4×C83C2411yescharacteristic
609C4⋊C4×C83C2411yescharacteristic
610C4⋊C4×C83C2411yescharacteristic
611C4⋊C4×C83C2411yescharacteristic
612C4⋊C4×C83C2411yescharacteristic
613C4⋊C4×C83C2411yescharacteristic
614C4⋊C4×C83C2411yescharacteristic
615C4⋊C4×C83C2411yescharacteristic
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×C83—21no—
638C22⋊C4×C83—21no—
639C22⋊C4×C83—21no—
640C22⋊C4×C83—21no—
641C22⋊C4×C83—21no—
642C22⋊C4×C83—21no—
643C22⋊C4×C83—21no—
644C22⋊C4×C83—21no—
645C22⋊C4×C83—21no—
646C22⋊C4×C83—21no—
647C22⋊C4×C83—21no—
648C22⋊C4×C83C2×D411yescharacteristic
649C22⋊C4×C83C2×D411yescharacteristic
650C22⋊C4×C83C2×D411yescharacteristic
651C22⋊C4×C83C2×D411yescharacteristic
652C22⋊C4×C83C2×D411yescharacteristic
653C22⋊C4×C83C2×D411yescharacteristic
654C22⋊C4×C83C2×D411yescharacteristic
655C22⋊C4×C83C2×D411yescharacteristic
656C22⋊C4×C83C2×D411yescharacteristic
657C22⋊C4×C83C2×D411yescharacteristic
658C42×C83—21no—
659C42×C83—21no—
660C42×C83—21no—
661C42×C83—21no—
662C42×C83—21no—
663C42×C83—21no—
664C42×C83—21no—
665C42×C83—21no—
666C42×C83C2×D411yescharacteristic
667C42×C83C2×D411yescharacteristic
668C42×C83C2411yescharacteristic
669C42×C83C2411yescharacteristic
670C42×C83C2411yescharacteristic
671C42×C83C2411yescharacteristic
672C23×C83—21no—
673C23×C83—21no—
674C23×C83—21no—
675C23×C83—21no—
676C23×C83—42no—
677C23×C83—81no—
678C23×C83—81no—
679C23×C83C22×D411yescharacteristic
680C23×C83C22×D411yescharacteristic
681C23×C83C22×D411yescharacteristic
682Q8×C83—21no—
683Q8×C83—21no—
684Q8×C83—21no—
685Q8×C83—21no—
686Q8×C83—41no—
687Q8×C83—81no—
688Q8×C83—81no—
689Q8×C83—81no—
690Q8×C83—81no—
691D4×C83—21no—
692D4×C83—21no—
693D4×C83—21no—
694D4×C83—21no—
695D4×C83—21no—
696D4×C83—21no—
697D4×C83—21no—
698D4×C83—41no—
699D4×C83—41no—
700D4×C83—41no—
701D4×C83—42no—
702D4×C83—42no—
703D4×C83—42no—
704D4×C83—42no—
705D4×C83—42no—
706D4×C83—81no—
707D4×C83—81no—
708D4×C83—81no—
709D4×C83—81no—
710D4×C83—81no—
711D4×C83—81no—
712D4×C83—81no—
713D4×C83—81no—
714D4×C832−1+412yes—
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—21no—
726C2×C4×C83—21no—
727C2×C4×C83—21no—
728C2×C4×C83—21no—
729C2×C4×C83—21no—
730C2×C4×C83—21no—
731C2×C4×C83—21no—
732C2×C4×C83—21no—
733C2×C4×C83—41no—
734C2×C4×C83—41no—
735C2×C4×C83—42no—
736C2×C4×C83—42no—
737C2×C4×C83—42no—
738C2×C4×C83—81no—
739C2×C4×C83—81no—
740C2×C4×C83—81no—
741C2×C4×C83—81no—
742C2×C4×C83—81no—
743C2×C4×C83—81no—
744C2×C4×C83—81no—
745C2×C4×C83—81no—
746C2×C4×C83—81no—
747C2×C4×C83—81no—
748C2×C4×C83—81no—
749C2×C4×C83—81no—
750C2×C4×C83—81no—
751C2×C4×C83—81no—
752C2×C4×C83—81no—
753C2×C4×C83—81no—
754C2×C4×C83C22×D411yescharacteristic
755C2×C4×C83C22×D411yescharacteristic
756C2×C4×C83C22×D411yescharacteristic
757C2×C4×C83C22×D411yescharacteristic
758C2×C4×C83C22×D411yescharacteristic
759C2×C4×C83C22×D411yescharacteristic
760C2×C4×C83C22×D411yescharacteristic
761C2×C4×C83C22×D411yescharacteristic
762C2×C4×C83C22×D411yescharacteristic
763C2×C4×C83C22×D411yescharacteristic
764C2×C4×C83C22×D411yescharacteristic
765C2×C4×C83C2511yescharacteristic
766C8×C83—21no—
767C8×C83—21no—
768C8×C83—21no—
769C8×C83—21no—
770C8×C83—21no—
771C8×C83—21no—
772C8×C83—21no—
773C8×C83—21no—
774C22×C83—21no—
775C22×C83—21no—
776C22×C83—21no—
777C22×C83—21no—
778C22×C83—21no—
779C22×C83—21no—
780C22×C83—21no—
781C22×C83—21no—
782C22×C83—21no—
783C22×C83—22no—
784C22×C83—41no—
785C22×C83—41no—
786C22×C83—41no—
787C22×C83—41no—
788C22×C83—41no—
789C22×C83—41no—
790C22×C83—41no—
791C22×C83—41no—
792C22×C83—41no—
793C22×C83—41no—
794C22×C83—41no—
795C22×C83—162no—
796C22×C83C23×D411yescharacteristic
797C4×C83—21no—
798C4×C83—21no—
799C4×C83—21no—
800C4×C83—21no—
801C4×C83—21no—
802C4×C83—21no—
803C4×C83—21no—
804C4×C83—21no—
805C4×C83—21no—
806C4×C83—21no—
807C4×C83—21no—
808C4×C83—41no—
809C4×C83—41no—
810C4×C83—41no—
811C4×C83—41no—
812C4×C83—41no—
813C4×C83—41no—
814C4×C83—41no—
815C4×C83—41no—
816C4×C83—41no—
817C4×C83—41no—
818C4×C83—41no—
819C4×C83—41no—
820C4×C83C2×2−1+411yescharacteristic
821C4×C83#58511yescharacteristic
822#62195C8311yesmaximal, characteristic, direct product factor, Sylow
823C2×C83—41no—
824C2×C83—41no—
825C2×C83—41no—
826C2×C83—42no—
827C2×C83—81no—
828C2×C83—81no—
829C2×C83—81no—
830C2×C83#348911yescharacteristic
831C2×C83#358411yescharacteristic
832C2×C83#358511yescharacteristic
833#3559C2×C8311yescharacteristic, complemented
834#3521C2×C8311yescharacteristic, complemented
835#3389C2×C8311yescharacteristic, complemented
836#3380C2×C8311yescharacteristic, complemented
837#3376C2×C8311yescharacteristic, complemented
838#3360C2×C8311yescharacteristic, complemented
839#3355C2×C8311yescharacteristic, complemented
840#3353C2×C8311yescharacteristic, complemented
841#3351C2×C8311yescharacteristic, complemented
842#3350C2×C8311yescharacteristic, complemented
843#3345C2×C8311yescharacteristic, complemented
844#3337C2×C8311yescharacteristic, complemented
845#3330C2×C8311yescharacteristic, complemented
846#3322C2×C8311yescharacteristic, complemented
847#3322C2×C8311yescharacteristic, complemented
848#3307C2×C8311yescharacteristic, complemented
849#3306C2×C8311yescharacteristic, complemented
850#3297C2×C8311yescharacteristic, complemented
851#3260C2×C8311yescharacteristic, complemented
852#3257C2×C8311yescharacteristic, complemented
853#3251C2×C8311yescharacteristic, complemented
854#3243C2×C8311yescharacteristic, complemented
855#3242C2×C8311yescharacteristic, complemented
856#3232C2×C8311yescharacteristic, complemented
857#3122C2×C8311yescharacteristic, complemented
858#3119C2×C8311yescharacteristic, complemented
859#3106C2×C8311yescharacteristic, complemented
860#3084C2×C8311yescharacteristic, complemented
861#3081C2×C8311yescharacteristic, complemented
862#3080C2×C8311yescharacteristic, complemented
863#2993C2×C8311yescharacteristic, complemented
864C83#6219511yescharacteristic, direct product factor, Sylow
865#563—21no—
866#562—21no—
867#556C22×C8311yescharacteristic
868#556C22×C8311yescharacteristic
869#554C22×C8311yescharacteristic
870#554C22×C8311yescharacteristic, complemented
871#554C22×C8311yescharacteristic, complemented
872#553—21no—
873#553C22×C8311yescharacteristic
874#553C22×C8311yescharacteristic
875#553C22×C8311yescharacteristic
876#553C22×C8311yescharacteristic
877#553C22×C8311yescharacteristic, complemented
878#552—21no—
879#552C22×C8311yescharacteristic
880#551—21no—
881#551—21no—
882#547—21no—
883#547—21no—
884#547C22×C8311yescharacteristic
885#547C22×C8311yescharacteristic
886#547C22×C8311yescharacteristic, complemented
887#546C22×C8311yescharacteristic
888#546C22×C8311yescharacteristic
889#544C22×C8311yescharacteristic
890#544C22×C8311yescharacteristic, complemented
891#542C22×C8311yescharacteristic
892#541C22×C8311yescharacteristic
893#540C22×C8311yescharacteristic
894#540C22×C8311yescharacteristic, complemented
895#539—21no—
896#539—21no—
897#539—21no—
898#539—21no—
899#538—21no—
900#537—21no—
901#532C22×C8311yescharacteristic, complemented
902#529—21no—
903#529C22×C8311yescharacteristic
904#529C22×C8311yescharacteristic
905C2×#126—21no—
906C2×#125C22×C8311yescharacteristic, complemented
907#520C22×C8311yescharacteristic
908#518C22×C8311yescharacteristic
909C4×#41C22×C8311yescharacteristic
910#501C22×C8311yescharacteristic, complemented
911#501C22×C8311yescharacteristic, complemented
912#500C22×C8311yescharacteristic, complemented
913#499C22×C8311yescharacteristic, complemented
914#499C22×C8311yescharacteristic, complemented
915#499C22×C8311yescharacteristic, complemented
916#491C22×C8311yescharacteristic, complemented
917#489C22×C8311yescharacteristic
918#488C22×C8311yescharacteristic
919#488C22×C8311yescharacteristic
920#488C22×C8311yescharacteristic
921#487C22×C8311yescharacteristic, complemented
922#485C22×C8311yescharacteristic
923#485C22×C8311yescharacteristic
924#485C22×C8311yescharacteristic, complemented
925#484C22×C8311yescharacteristic
926#484C22×C8311yescharacteristic, complemented
927#484C22×C8311yescharacteristic, complemented
928#483C22×C8311yescharacteristic
929#483C22×C8311yescharacteristic, complemented
930#482C22×C8311yescharacteristic
931#482C22×C8311yescharacteristic
932#482C22×C8311yescharacteristic
933#482C22×C8311yescharacteristic, complemented
934#482C22×C8311yescharacteristic, complemented
935#481C22×C8311yescharacteristic
936#481C22×C8311yescharacteristic, complemented
937#480C22×C8311yescharacteristic
938#480C22×C8311yescharacteristic
939#480C22×C8311yescharacteristic, complemented
940#479C22×C8311yescharacteristic, complemented
941#479C22×C8311yescharacteristic, complemented
942#479C22×C8311yescharacteristic, complemented
943#479C22×C8311yescharacteristic, complemented
944#479C22×C8311yescharacteristic, complemented
945#479C22×C8311yescharacteristic, complemented
946#479C22×C8311yescharacteristic, complemented
947#478C22×C8311yescharacteristic
948#478C22×C8311yescharacteristic
949#478C22×C8311yescharacteristic
950#478C22×C8311yescharacteristic
951#478C22×C8311yescharacteristic
952#478C22×C8311yescharacteristic
953#478C22×C8311yescharacteristic
954#478C22×C8311yescharacteristic
955#478C22×C8311yescharacteristic
956#478C22×C8311yescharacteristic, complemented
957#478C22×C8311yescharacteristic, complemented
958#478C22×C8311yescharacteristic, complemented
959#478C22×C8311yescharacteristic, complemented
960#477C22×C8311yescharacteristic, complemented
961#476C22×C8311yescharacteristic
962#476C22×C8311yescharacteristic
963#476C22×C8311yescharacteristic
964#476C22×C8311yescharacteristic, complemented
965#475C22×C8311yescharacteristic, complemented
966#475C22×C8311yescharacteristic, complemented
967#474C22×C8311yescharacteristic
968#474C22×C8311yescharacteristic
969#474C22×C8311yescharacteristic, complemented
970#469C22×C8311yescharacteristic
971#469C22×C8311yescharacteristic
972#469C22×C8311yescharacteristic
973#468C22×C8311yescharacteristic
974#468C22×C8311yescharacteristic
975#468C22×C8311yescharacteristic, complemented
976#468C22×C8311yescharacteristic, complemented
977#468C22×C8311yescharacteristic, complemented
978#466C22×C8311yescharacteristic
979#465C22×C8311yescharacteristic
980#465C22×C8311yescharacteristic
981#465C22×C8311yescharacteristic, complemented
982#463C22×C8311yescharacteristic
983#463C22×C8311yescharacteristic
984#463C22×C8311yescharacteristic
985#463C22×C8311yescharacteristic
986#461C22×C8311yescharacteristic, complemented
987#461C22×C8311yescharacteristic, complemented
988#460C22×C8311yescharacteristic, complemented
989#460C22×C8311yescharacteristic, complemented
990#459C22×C8311yescharacteristic
991#459C22×C8311yescharacteristic
992#449C22×C8311yescharacteristic
993#449C22×C8311yescharacteristic
994#449C22×C8311yescharacteristic
995#449C22×C8311yescharacteristic
996#447C22×C8311yescharacteristic
997#447C22×C8311yescharacteristic
998#446C22×C8311yescharacteristic, complemented
999C8×Q8C22×C8311yescharacteristic, complemented
1000#442C22×C8311yescharacteristic
1001#442C22×C8311yescharacteristic
1002#442C22×C8311yescharacteristic
1003#440C22×C8311yescharacteristic, complemented
1004C4×SD16C22×C8311yescharacteristic, complemented
1005C4×SD16C22×C8311yescharacteristic, complemented
1006C4×SD16C22×C8311yescharacteristic, complemented
1007C4×D8C22×C8311yescharacteristic
1008C4×D8C22×C8311yescharacteristic
1009C4×D8C22×C8311yescharacteristic
1010C4×D8C22×C8311yescharacteristic
1011C4×D8C22×C8311yescharacteristic
1012#436C22×C8311yescharacteristic
1013#436C22×C8311yescharacteristic
1014#436C22×C8311yescharacteristic, complemented
1015#435C22×C8311yescharacteristic
1016#435C22×C8311yescharacteristic, complemented
1017C8×D4C22×C8311yescharacteristic
1018#433C22×C8311yescharacteristic
1019#433C22×C8311yescharacteristic, complemented
1020#431C22×C8311yescharacteristic, complemented
1021#428C22×C8311yescharacteristic
1022#428C22×C8311yescharacteristic, complemented
1023#428C22×C8311yescharacteristic, complemented
1024#428C22×C8311yescharacteristic, complemented
1025#427C22×C8311yescharacteristic
1026C2×#106C22×C8311yescharacteristic, complemented
1027#424C22×C8311yescharacteristic
1028#424C22×C8311yescharacteristic, complemented
1029#423C22×C8311yescharacteristic, complemented
1030#418C22×C8311yescharacteristic
1031#417C22×C8311yescharacteristic
1032#417C22×C8311yescharacteristic
1033#417C22×C8311yescharacteristic
1034#416C22×C8311yescharacteristic
1035C2×#102C22×C8311yescharacteristic
1036C2×#41—21no—
1037C2×#41—21no—
1038C2×#41—21no—
1039C2×#41C23×C8311yescharacteristic
1040C2×#41C23×C8311yescharacteristic
1041C22×D4C23×C8311yescharacteristic
1042C2×SD16C23×C8311yescharacteristic
1043C2×SD16C23×C8311yescharacteristic
1044C2×SD16C23×C8311yescharacteristic
1045C2×SD16C23×C8311yescharacteristic
1046C2×D8C23×C8311yescharacteristic
1047C2×D8C23×C8311yescharacteristic
1048C2×D8C23×C8311yescharacteristic
1049C2×D8C23×C8311yescharacteristic
1050C2×M16C23×C8311yescharacteristic
1051C2×M16C23×C8311yescharacteristic
1052C2×M16C23×C8311yescharacteristic
1053C2×M16C23×C8311yescharacteristic
1054C22×C8C23×C8311yescharacteristic
1055C22×C8C23×C8311yescharacteristic
1056C4⋊Q8—21no—
1057C4⋊Q8—21no—
1058C4⋊Q8C23×C8311yescharacteristic
1059C4⋊Q8C23×C8311yescharacteristic
1060C4⋊Q8C23×C8311yescharacteristic
1061C4⋊Q8C23×C8311yescharacteristic
1062C4⋊Q8C23×C8311yescharacteristic
1063#127C23×C8311yescharacteristic
1064#126—21no—
1065#126—21no—
1066#126—21no—
1067#126—21no—
1068#126—21no—
1069#126—21no—
1070#126—21no—
1071#126—21no—
1072#126—21no—
1073#126—21no—
1074#126—21no—
1075#126—21no—
1076#126—21no—
1077#126—21no—
1078#126D4×C8311yescharacteristic
1079#126D4×C8311yescharacteristic
1080#125—21no—
1081#125—21no—
1082#125—21no—
1083#125—21no—
1084#125—21no—
1085#125—21no—
1086#125—21no—
1087#125D4×C8311yescharacteristic
1088#125C23×C8311yescharacteristic
1089#125C23×C8311yescharacteristic
1090#125C23×C8311yescharacteristic
1091#125C23×C8311yescharacteristic
1092#125C23×C8311yescharacteristic
1093#125C23×C8311yescharacteristic
1094#125C23×C8311yescharacteristic
1095#125C23×C8311yescharacteristic
1096#124—21no—
1097#124—21no—
1098#124—21no—
1099#124D4×C8311yescharacteristic
1100#124C23×C8311yescharacteristic
1101#124C23×C8311yescharacteristic
1102#123—21no—
1103#123—21no—
1104#123—21no—
1105#123—21no—
1106#123—21no—
1107#123—21no—
1108#123—21no—
1109#123—21no—
1110#123—21no—
1111#123—21no—
1112#123—21no—
1113#123—21no—
1114#123—21no—
1115#123—21no—
1116#123—21no—
1117#123—21no—
1118#123—21no—
1119#123—21no—
1120#123—21no—
1121#123—21no—
1122#123D4×C8311yescharacteristic
1123#123D4×C8311yescharacteristic
1124C22⋊Q8—21no—
1125C22⋊Q8—21no—
1126C22⋊Q8—21no—
1127C22⋊Q8—21no—
1128C22⋊Q8—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—21no—
1131C22⋊Q8—21no—
1132C22⋊Q8—21no—
1133C22⋊Q8—21no—
1134C22⋊Q8—21no—
1135C22⋊Q8—21no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—21no—
1139C22⋊Q8—21no—
1140C22⋊Q8—21no—
1141C22⋊Q8D4×C8311yescharacteristic
1142C22⋊Q8C23×C8311yescharacteristic
1143C22⋊Q8C23×C8311yescharacteristic
1144C22⋊Q8C23×C8311yescharacteristic
1145C22⋊Q8C23×C8311yescharacteristic
1146#121—21no—
1147#121—21no—
1148#121—21no—
1149#121—21no—
1150#121—21no—
1151#121—21no—
1152#121—21no—
1153#121—21no—
1154#121—21no—
1155#121—21no—
1156#121—21no—
1157#121—21no—
1158#121—21no—
1159#121D4×C8311yescharacteristic
1160#121C23×C8311yescharacteristic
1161#121C23×C8311yescharacteristic
1162#121C23×C8311yescharacteristic
1163#121C23×C8311yescharacteristic
1164#121C23×C8311yescharacteristic
1165#121C23×C8311yescharacteristic
1166#121C23×C8311yescharacteristic
1167#121C23×C8311yescharacteristic
1168#120—21no—
1169#120—21no—
1170C4×Q8—21no—
1171C4×Q8C23×C8311yescharacteristic
1172C4×Q8C23×C8311yescharacteristic
1173C4×Q8C23×C8311yescharacteristic
1174C4×Q8C23×C8311yescharacteristic
1175C4×Q8C23×C8311yescharacteristic
1176C4×D4—21no—
1177C4×D4—21no—
1178C4×D4—21no—
1179C4×D4—21no—
1180C4×D4—21no—
1181C4×D4—21no—
1182C4×D4—21no—
1183C4×D4—21no—
1184C4×D4—21no—
1185C4×D4—21no—
1186C4×D4—21no—
1187C4×D4—21no—
1188C4×D4—21no—
1189C4×D4C23×C8311yescharacteristic
1190C4×D4C23×C8311yescharacteristic
1191C4×D4C23×C8311yescharacteristic
1192C4×D4C23×C8311yescharacteristic
1193C4×D4C23×C8311yescharacteristic
1194C4×D4C23×C8311yescharacteristic
1195C4×D4C23×C8311yescharacteristic
1196C4×D4C23×C8311yescharacteristic
1197C4×D4C23×C8311yescharacteristic
1198C4×D4C23×C8311yescharacteristic
1199C4×D4C23×C8311yescharacteristic
1200C4×D4C23×C8311yescharacteristic
1201C4×D4C23×C8311yescharacteristic
1202C4×D4C23×C8311yescharacteristic
1203C4×D4C23×C8311yescharacteristic
1204#117—21no—
1205#117—21no—
1206#117—21no—
1207#117—21no—
1208#117—21no—
1209#117C23×C8311yescharacteristic
1210#117C23×C8311yescharacteristic
1211#117C23×C8311yescharacteristic
1212#117C23×C8311yescharacteristic
1213#117C23×C8311yescharacteristic
1214#117C23×C8311yescharacteristic
1215C2×C4⋊C4—21no—
1216C2×C4⋊C4—21no—
1217C2×C4⋊C4—21no—
1218C2×C4⋊C4—21no—
1219C2×C4⋊C4—21no—
1220C2×C4⋊C4—21no—
1221C2×C4⋊C4—21no—
1222C2×C4⋊C4C23×C8311yescharacteristic
1223C2×C4⋊C4C23×C8311yescharacteristic
1224C2×C4⋊C4C23×C8311yescharacteristic
1225C2×C4⋊C4C23×C8311yescharacteristic
1226C2×C4⋊C4C23×C8311yescharacteristic
1227C2×C22⋊C4—21no—
1228C2×C22⋊C4—21no—
1229C2×C22⋊C4—21no—
1230C2×C22⋊C4—21no—
1231C2×C42—21no—
1232C2×C42C23×C8311yescharacteristic
1233#107C23×C8311yescharacteristic
1234#107C23×C8311yescharacteristic
1235#107C23×C8311yescharacteristic
1236#107C23×C8311yescharacteristic
1237#107C23×C8311yescharacteristic
1238#107C23×C8311yescharacteristic
1239#107C23×C8311yescharacteristic
1240#107C23×C8311yescharacteristic
1241#107C23×C8311yescharacteristic
1242#107C23×C8311yescharacteristic
1243#107C23×C8311yescharacteristic
1244#107C23×C8311yescharacteristic
1245#106C23×C8311yescharacteristic
1246#106C23×C8311yescharacteristic
1247#106C23×C8311yescharacteristic
1248#106C23×C8311yescharacteristic
1249#106C23×C8311yescharacteristic
1250#106C23×C8311yescharacteristic
1251#106C23×C8311yescharacteristic
1252#106C23×C8311yescharacteristic
1253#106C23×C8311yescharacteristic
1254#106C23×C8311yescharacteristic
1255#106C23×C8311yescharacteristic
1256#106C23×C8311yescharacteristic
1257C4⋊C8C23×C8311yescharacteristic
1258C4⋊C8C23×C8311yescharacteristic
1259C4⋊C8C23×C8311yescharacteristic
1260C4⋊C8C23×C8311yescharacteristic
1261C4⋊C8C23×C8311yescharacteristic
1262C4⋊C8C23×C8311yescharacteristic
1263C4⋊C8C23×C8311yescharacteristic
1264C4⋊C8C23×C8311yescharacteristic
1265C4⋊C8C23×C8311yescharacteristic
1266C4⋊C8C23×C8311yescharacteristic
1267#103C23×C8311yescharacteristic
1268#103C23×C8311yescharacteristic
1269#103C23×C8311yescharacteristic
1270#103C23×C8311yescharacteristic
1271#103C23×C8311yescharacteristic
1272#103C23×C8311yescharacteristic
1273#103C23×C8311yescharacteristic
1274#103C23×C8311yescharacteristic
1275#103C23×C8311yescharacteristic
1276#103C23×C8311yescharacteristic
1277#103C23×C8311yescharacteristic
1278#103C23×C8311yescharacteristic
1279#102C23×C8311yescharacteristic
1280#102C23×C8311yescharacteristic
1281#102C23×C8311yescharacteristic
1282#102C23×C8311yescharacteristic
1283#102C23×C8311yescharacteristic
1284#102C23×C8311yescharacteristic
1285#102C23×C8311yescharacteristic
1286#102C23×C8311yescharacteristic
1287#102C23×C8311yescharacteristic
1288#102C23×C8311yescharacteristic
1289#102C23×C8311yescharacteristic
1290#102C23×C8311yescharacteristic
1291#102C23×C8311yescharacteristic
1292#102C23×C8311yescharacteristic
1293#102C23×C8311yescharacteristic
1294#102C23×C8311yescharacteristic
1295#102C23×C8311yescharacteristic
1296#102C23×C8311yescharacteristic
1297#102C23×C8311yescharacteristic
1298#102C23×C8311yescharacteristic
1299C22⋊C8C23×C8311yescharacteristic
1300C22⋊C8C23×C8311yescharacteristic
1301C22⋊C8C23×C8311yescharacteristic
1302C22⋊C8C23×C8311yescharacteristic
1303C22⋊C8C23×C8311yescharacteristic
1304C22⋊C8C23×C8311yescharacteristic
1305#97C23×C8311yescharacteristic
1306#97C23×C8311yescharacteristic
1307C4×C8C23×C8311yescharacteristic
1308C4×C8C23×C8311yescharacteristic
1309C4×C8C23×C8311yescharacteristic
1310C4×C8C23×C8311yescharacteristic
1311C24—21no—
1312#41—22no—
1313#41—22no—
1314#41—41no—
1315#41—41no—
1316#41—82no—
1317#41—82no—
1318#41—82no—
1319C2×Q8—21no—
1320C2×Q8—21no—
1321C2×Q8—21no—
1322C2×Q8—21no—
1323C2×Q8C2×D4×C8311yescharacteristic
1324C2×Q8C24×C8311yescharacteristic
1325C2×Q8C24×C8311yescharacteristic
1326C2×D4—22no—
1327C2×D4—21no—
1328C2×D4—21no—
1329C2×D4—21no—
1330C2×D4—21no—
1331C2×D4—21no—
1332C2×D4—21no—
1333C2×D4—21no—
1334C2×D4—21no—
1335C2×D4—21no—
1336C2×D4—21no—
1337C2×D4—21no—
1338C2×D4—21no—
1339C2×D4—21no—
1340C2×D4—41no—
1341C2×D4C2×D4×C8311yescharacteristic
1342C2×D4C2×D4×C8311yescharacteristic
1343C2×D4C2×D4×C8311yescharacteristic
1344C2×D4C24×C8311yescharacteristic
1345C2×D4C24×C8311yescharacteristic
1346C2×D4C24×C8311yescharacteristic
1347C2×D4C24×C8311yescharacteristic
1348C22×C4—21no—
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—21no—
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—21no—
1367C22×C4C2×D4×C8311yescharacteristic
1368C22×C4C2×D4×C8311yescharacteristic
1369C22×C4C24×C8311yescharacteristic
1370C22×C4C24×C8311yescharacteristic
1371C22×C4C24×C8311yescharacteristic
1372SD16—41no—
1373SD16—41no—
1374SD16—41no—
1375SD16—41no—
1376D8—22no—
1377D8—22no—
1378D8—41no—
1379D8—41no—
1380M16—41no—
1381M16—41no—
1382M16—41no—
1383M16—41no—
1384C2×C8—41no—
1385C2×C8—41no—
1386C2×C8C24×C8311yescharacteristic
1387C2×C8C24×C8311yescharacteristic
1388C2×C8C24×C8311yescharacteristic
1389C2×C8C24×C8311yescharacteristic
1390C2×C8C24×C8311yescharacteristic
1391C2×C8C24×C8311yescharacteristic
1392C2×C8C24×C8311yescharacteristic
1393C2×C8C24×C8311yescharacteristic
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
1406C4⋊C4—21no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—21no—
1420C4⋊C4—21no—
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4C2×D4×C8311yescharacteristic
1430C4⋊C4C2×D4×C8311yescharacteristic
1431C4⋊C4C2×D4×C8311yescharacteristic
1432C4⋊C4C2×D4×C8311yescharacteristic
1433C4⋊C4C2×D4×C8311yescharacteristic
1434C4⋊C4C2×D4×C8311yescharacteristic
1435C4⋊C4C2×D4×C8311yescharacteristic
1436C4⋊C4C2×D4×C8311yescharacteristic
1437C4⋊C4C2×D4×C8311yescharacteristic
1438C4⋊C4C2×D4×C8311yescharacteristic
1439C4⋊C4C24×C8311yescharacteristic
1440C4⋊C4C24×C8311yescharacteristic
1441C4⋊C4C24×C8311yescharacteristic
1442C4⋊C4C24×C8311yescharacteristic
1443C4⋊C4C24×C8311yescharacteristic
1444C4⋊C4C24×C8311yescharacteristic
1445C4⋊C4C24×C8311yescharacteristic
1446C4⋊C4C24×C8311yescharacteristic
1447C4⋊C4C24×C8311yescharacteristic
1448C4⋊C4C24×C8311yescharacteristic
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4C2×D4×C8311yescharacteristic
1482C22⋊C4C2×D4×C8311yescharacteristic
1483C22⋊C4C2×D4×C8311yescharacteristic
1484C22⋊C4C2×D4×C8311yescharacteristic
1485C22⋊C4C2×D4×C8311yescharacteristic
1486C22⋊C4C2×D4×C8311yescharacteristic
1487C22⋊C4C2×D4×C8311yescharacteristic
1488C22⋊C4C2×D4×C8311yescharacteristic
1489C22⋊C4C2×D4×C8311yescharacteristic
1490C22⋊C4C2×D4×C8311yescharacteristic
1491C42—21no—
1492C42—21no—
1493C42—21no—
1494C42—21no—
1495C42—21no—
1496C42—21no—
1497C42—21no—
1498C42—21no—
1499C42C2×D4×C8311yescharacteristic
1500C42C2×D4×C8311yescharacteristic
1501C42C24×C8311yescharacteristic
1502C42C24×C8311yescharacteristic
1503C42C24×C8311yescharacteristic
1504C42C24×C8311yescharacteristic
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—42no—
1510C23—81no—
1511C23—81no—
1512C23C22×D4×C8311yescharacteristic
1513C23C22×D4×C8311yescharacteristic
1514C23C22×D4×C8311yescharacteristic
1515Q8—21no—
1516Q8—21no—
1517Q8—21no—
1518Q8—21no—
1519Q8—41no—
1520Q8—81no—
1521Q8—81no—
1522Q8—81no—
1523Q8—81no—
1524D4—21no—
1525D4—21no—
1526D4—21no—
1527D4—21no—
1528D4—21no—
1529D4—21no—
1530D4—21no—
1531D4—41no—
1532D4—41no—
1533D4—41no—
1534D4—42no—
1535D4—42no—
1536D4—42no—
1537D4—42no—
1538D4—42no—
1539D4—81no—
1540D4—81no—
1541D4—81no—
1542D4—81no—
1543D4—81no—
1544D4—81no—
1545D4—81no—
1546D4—81no—
1547D42−1+4×C8312yes—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—41no—
1567C2×C4—41no—
1568C2×C4—42no—
1569C2×C4—42no—
1570C2×C4—42no—
1571C2×C4—81no—
1572C2×C4—81no—
1573C2×C4—81no—
1574C2×C4—81no—
1575C2×C4—81no—
1576C2×C4—81no—
1577C2×C4—81no—
1578C2×C4—81no—
1579C2×C4—81no—
1580C2×C4—81no—
1581C2×C4—81no—
1582C2×C4—81no—
1583C2×C4—81no—
1584C2×C4—81no—
1585C2×C4—81no—
1586C2×C4—81no—
1587C2×C4C22×D4×C8311yescharacteristic
1588C2×C4C22×D4×C8311yescharacteristic
1589C2×C4C22×D4×C8311yescharacteristic
1590C2×C4C22×D4×C8311yescharacteristic
1591C2×C4C22×D4×C8311yescharacteristic
1592C2×C4C22×D4×C8311yescharacteristic
1593C2×C4C22×D4×C8311yescharacteristic
1594C2×C4C22×D4×C8311yescharacteristic
1595C2×C4C22×D4×C8311yescharacteristic
1596C2×C4C22×D4×C8311yescharacteristic
1597C2×C4C22×D4×C8311yescharacteristic
1598C2×C4C25×C8311yescharacteristic
1599C8—21no—
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—21no—
1605C8—21no—
1606C8—21no—
1607C22—21no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—21no—
1616C22—22no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—162no—
1629C22C23×D4×C8311yescharacteristic
1630C4—21no—
1631C4—21no—
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—21no—
1638C4—21no—
1639C4—21no—
1640C4—21no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4C2×2−1+4×C8311yescharacteristic
1654C4#585×C8311yescharacteristic
1655C2—41no—
1656C2—41no—
1657C2—41no—
1658C2—42no—
1659C2—81no—
1660C2—81no—
1661C2—81no—
1662C2C83×#348911yescharacteristic
1663C2C83×#358411yescharacteristic
1664C2C83×#358511yescharacteristic
subgroupG/H
center, socleC22×C83C23×D4
commutator, Frattini, cosocleC2×C4C25×C83
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×#3559C2semidirect
2. C83×#3521C2semidirect
3. C83×#3389C2semidirect
4. C83×#3380C2semidirect
5. C83×#3376C2semidirect
6. C83×#3360C2semidirect
7. C83×#3355C2semidirect
8. C83×#3353C2semidirect
9. C83×#3351C2semidirect
10. C83×#3350C2semidirect
11. C83×#3345C2semidirect
12. C83×#3337C2semidirect
13. C83×#3330C2semidirect
14. C83×#3322C2semidirect
15. C83×#3322C2semidirect
16. C83×#3307C2semidirect
17. C83×#3306C2semidirect
18. C83×#3297C2semidirect
19. C83×#3260C2semidirect
20. C83×#3257C2semidirect
21. C83×#3251C2semidirect
22. C83×#3243C2semidirect
23. C83×#3242C2semidirect
24. C83×#3232C2semidirect
25. C83×#3122C2semidirect
26. C83×#3119C2semidirect
27. C83×#3106C2semidirect
28. C83×#3084C2semidirect
29. C83×#3081C2semidirect
30. C83×#3080C2semidirect
31. C83×#2993C2semidirect
37. #554×C83C22semidirect
38. #554×C83C22semidirect
44. #553×C83C22semidirect
53. #547×C83C22semidirect
57. #544×C83C22semidirect
61. #540×C83C22semidirect
68. #532×C83C22semidirect
73. C2×#125×C83C22semidirect
77. #501×C83C22semidirect
78. #501×C83C22semidirect
79. #500×C83C22semidirect
80. #499×C83C22semidirect
81. #499×C83C22semidirect
82. #499×C83C22semidirect
83. #491×C83C22semidirect
88. #487×C83C22semidirect
91. #485×C83C22semidirect
93. #484×C83C22semidirect
94. #484×C83C22semidirect
96. #483×C83C22semidirect
100. #482×C83C22semidirect
101. #482×C83C22semidirect
103. #481×C83C22semidirect
106. #480×C83C22semidirect
107. #479×C83C22semidirect
108. #479×C83C22semidirect
109. #479×C83C22semidirect
110. #479×C83C22semidirect
111. #479×C83C22semidirect
112. #479×C83C22semidirect
113. #479×C83C22semidirect
123. #478×C83C22semidirect
124. #478×C83C22semidirect
125. #478×C83C22semidirect
126. #478×C83C22semidirect
127. #477×C83C22semidirect
131. #476×C83C22semidirect
132. #475×C83C22semidirect
133. #475×C83C22semidirect
136. #474×C83C22semidirect
142. #468×C83C22semidirect
143. #468×C83C22semidirect
144. #468×C83C22semidirect
148. #465×C83C22semidirect
153. #461×C83C22semidirect
154. #461×C83C22semidirect
155. #460×C83C22semidirect
156. #460×C83C22semidirect
165. #446×C83C22semidirect
166. C8×Q8×C83C22semidirect
170. #440×C83C22semidirect
171. C4×SD16×C83C22semidirect
172. C4×SD16×C83C22semidirect
173. C4×SD16×C83C22semidirect
181. #436×C83C22semidirect
183. #435×C83C22semidirect
186. #433×C83C22semidirect
187. #431×C83C22semidirect
189. #428×C83C22semidirect
190. #428×C83C22semidirect
191. #428×C83C22semidirect
193. C2×#106×C83C22semidirect
195. #424×C83C22semidirect
196. #423×C83C22semidirect
822. #62195C83direct (N × H)
833. #3559C2×C83semidirect
834. #3521C2×C83semidirect
835. #3389C2×C83semidirect
836. #3380C2×C83semidirect
837. #3376C2×C83semidirect
838. #3360C2×C83semidirect
839. #3355C2×C83semidirect
840. #3353C2×C83semidirect
841. #3351C2×C83semidirect
842. #3350C2×C83semidirect
843. #3345C2×C83semidirect
844. #3337C2×C83semidirect
845. #3330C2×C83semidirect
846. #3322C2×C83semidirect
847. #3322C2×C83semidirect
848. #3307C2×C83semidirect
849. #3306C2×C83semidirect
850. #3297C2×C83semidirect
851. #3260C2×C83semidirect
852. #3257C2×C83semidirect
853. #3251C2×C83semidirect
854. #3243C2×C83semidirect
855. #3242C2×C83semidirect
856. #3232C2×C83semidirect
857. #3122C2×C83semidirect
858. #3119C2×C83semidirect
859. #3106C2×C83semidirect
860. #3084C2×C83semidirect
861. #3081C2×C83semidirect
862. #3080C2×C83semidirect
863. #2993C2×C83semidirect
864. C83#62195direct (N × H)
870. #554C22×C83semidirect
871. #554C22×C83semidirect
877. #553C22×C83semidirect
886. #547C22×C83semidirect
890. #544C22×C83semidirect
894. #540C22×C83semidirect
901. #532C22×C83semidirect
906. C2×#125C22×C83semidirect
910. #501C22×C83semidirect
911. #501C22×C83semidirect
912. #500C22×C83semidirect
913. #499C22×C83semidirect
914. #499C22×C83semidirect
915. #499C22×C83semidirect
916. #491C22×C83semidirect
921. #487C22×C83semidirect
924. #485C22×C83semidirect
926. #484C22×C83semidirect
927. #484C22×C83semidirect
929. #483C22×C83semidirect
933. #482C22×C83semidirect
934. #482C22×C83semidirect
936. #481C22×C83semidirect
939. #480C22×C83semidirect
940. #479C22×C83semidirect
941. #479C22×C83semidirect
942. #479C22×C83semidirect
943. #479C22×C83semidirect
944. #479C22×C83semidirect
945. #479C22×C83semidirect
946. #479C22×C83semidirect
956. #478C22×C83semidirect
957. #478C22×C83semidirect
958. #478C22×C83semidirect
959. #478C22×C83semidirect
960. #477C22×C83semidirect
964. #476C22×C83semidirect
965. #475C22×C83semidirect
966. #475C22×C83semidirect
969. #474C22×C83semidirect
975. #468C22×C83semidirect
976. #468C22×C83semidirect
977. #468C22×C83semidirect
981. #465C22×C83semidirect
986. #461C22×C83semidirect
987. #461C22×C83semidirect
988. #460C22×C83semidirect
989. #460C22×C83semidirect
998. #446C22×C83semidirect
999. C8×Q8C22×C83semidirect
1003. #440C22×C83semidirect
1004. C4×SD16C22×C83semidirect
1005. C4×SD16C22×C83semidirect
1006. C4×SD16C22×C83semidirect
1014. #436C22×C83semidirect
1016. #435C22×C83semidirect
1019. #433C22×C83semidirect
1020. #431C22×C83semidirect
1022. #428C22×C83semidirect
1023. #428C22×C83semidirect
1024. #428C22×C83semidirect
1026. C2×#106C22×C83semidirect
1028. #424C22×C83semidirect
1029. #423C22×C83semidirect

Maximal subgroups

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

subgroupindex
C83×#35592
C83×#35212
C83×#33892
C83×#33802
C83×#33762
C83×#33602
C83×#33552
C83×#33532
C83×#33512
C83×#33502
C83×#33452
C83×#33372
C83×#33302
C83×#33222
C83×#33072
C83×#33062
C83×#32972
C83×#32602
C83×#32572
C83×#32512
C83×#32432
C83×#32422
C83×#32322
C83×#31222
C83×#31192
C83×#31062
C83×#30842
C83×#30812
C83×#30802
C83×#29932
#6219583