Finite Group Databasebeta

← C83×#60999 #35288823

Subgroups — C83×#60999 #35288823

Order 21248.

1682 conjugacy classes of subgroups.

The subgroup lattice has 1664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C83×#3512C211yesmaximal, characteristic, complemented
2C83×#3461C211yesmaximal, characteristic, complemented
3C83×#3256C211yesmaximal, characteristic, complemented
4C83×#3252C211yesmaximal, characteristic, complemented
5C83×#3250C211yesmaximal, characteristic, complemented
6C83×#3248C211yesmaximal, characteristic, complemented
7C83×#3242C211yesmaximal, characteristic, complemented
8C83×#3241C211yesmaximal, characteristic, complemented
9C83×#3236C211yesmaximal, characteristic, complemented
10C83×#3232C211yesmaximal, characteristic, complemented
11C83×#3223C211yesmaximal, characteristic, complemented
12C83×#3221C211yesmaximal, characteristic, complemented
13C83×#3219C211yesmaximal, characteristic, complemented
14C83×#3210C211yesmaximal, characteristic, complemented
15C83×#3204C211yesmaximal, characteristic, complemented
16C83×#3203C211yesmaximal, characteristic, complemented
17C83×#3201C211yesmaximal, characteristic, complemented
18C83×#3201C211yesmaximal, characteristic, complemented
19C83×#3179C211yesmaximal, characteristic, complemented
20C83×#3178C211yesmaximal, characteristic, complemented
21C83×#3177C211yesmaximal, characteristic, complemented
22C83×#3174C211yesmaximal, characteristic, complemented
23C83×#3125C211yesmaximal, characteristic, complemented
24C83×#3124C211yesmaximal, characteristic, complemented
25C83×#3120C211yesmaximal, characteristic, complemented
26C83×#3120C211yesmaximal, characteristic, complemented
27C83×#3117C211yesmaximal, characteristic, complemented
28C83×#3111C211yesmaximal, characteristic, complemented
29C83×#3108C211yesmaximal, characteristic, complemented
30C83×#3102C211yesmaximal, characteristic, complemented
31C83×#2925C211yesmaximal, characteristic, complemented
32#553×C83—21no—
33#553×C83—21no—
34#553×C83—21no—
35#553×C83—21no—
36#553×C83—21no—
37#553×C83—21no—
38#552×C83—21no—
39#552×C83—21no—
40#544×C83C2211yescharacteristic
41#542×C83—21no—
42#542×C83C2211yescharacteristic
43#542×C83C2211yescharacteristic
44#541×C83—21no—
45#541×C83C2211yescharacteristic
46#541×C83C2211yescharacteristic
47#541×C83C2211yescharacteristic
48#541×C83C2211yescharacteristic
49#540×C83C2211yescharacteristic
50#540×C83C2211yescharacteristic
51#539×C83—21no—
52#539×C83—21no—
53#537×C83C2211yescharacteristic
54#537×C83C2211yescharacteristic
55#537×C83C2211yescharacteristic
56#536×C83C2211yescharacteristic
57#536×C83C2211yescharacteristic
58#533×C83—21no—
59#533×C83C2211yescharacteristic
60#533×C83C2211yescharacteristic
61#532×C83C2211yescharacteristic
62#529×C83—21no—
63#529×C83—21no—
64#529×C83—21no—
65#529×C83C2211yescharacteristic
66#529×C83C2211yescharacteristic
67#529×C83C2211yescharacteristic
68#529×C83C2211yescharacteristic
69#529×C83C2211yescharacteristic
70#529×C83C2211yescharacteristic
71C2×#125×C83C2211yescharacteristic
72#520×C83C2211yescharacteristic
73#520×C83C2211yescharacteristic
74C4×#41×C83C2211yescharacteristic
75C4×#41×C83C2211yescharacteristic
76C2×C4×Q8×C83C2211yescharacteristic
77#501×C83C2211yescharacteristic
78#501×C83C2211yescharacteristic
79#499×C83C2211yescharacteristic
80#499×C83C2211yescharacteristic
81#497×C83C2211yescharacteristic
82#496×C83C2211yescharacteristic
83#494×C83C2211yescharacteristic
84#492×C83C2211yescharacteristic
85#491×C83C2211yescharacteristic
86#491×C83C2211yescharacteristic
87#491×C83C2211yescharacteristic
88#490×C83C2211yescharacteristic
89#488×C83C2211yescharacteristic
90#488×C83C2211yescharacteristic
91#487×C83C2211yescharacteristic
92#486×C83C2211yescharacteristic
93#485×C83C2211yescharacteristic
94#485×C83C2211yescharacteristic
95#484×C83C2211yescharacteristic
96#484×C83C2211yescharacteristic
97#484×C83C2211yescharacteristic
98#484×C83C2211yescharacteristic
99#483×C83C2211yescharacteristic
100#483×C83C2211yescharacteristic
101#483×C83C2211yescharacteristic
102#483×C83C2211yescharacteristic
103#482×C83C2211yescharacteristic
104#482×C83C2211yescharacteristic
105#481×C83C2211yescharacteristic
106#481×C83C2211yescharacteristic
107#480×C83C2211yescharacteristic
108#480×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#478×C83C2211yescharacteristic
118#478×C83C2211yescharacteristic
119#478×C83C2211yescharacteristic
120#478×C83C2211yescharacteristic
121#477×C83C2211yescharacteristic
122#476×C83C2211yescharacteristic
123#475×C83C2211yescharacteristic
124#474×C83C2211yescharacteristic
125#470×C83C2211yescharacteristic
126#470×C83C2211yescharacteristic
127#470×C83C2211yescharacteristic
128#469×C83C2211yescharacteristic
129#468×C83C2211yescharacteristic
130#468×C83C2211yescharacteristic
131#468×C83C2211yescharacteristic
132#468×C83C2211yescharacteristic
133#467×C83C2211yescharacteristic
134#467×C83C2211yescharacteristic
135#467×C83C2211yescharacteristic
136#466×C83C2211yescharacteristic
137#465×C83C2211yescharacteristic
138#465×C83C2211yescharacteristic
139#465×C83C2211yescharacteristic
140#465×C83C2211yescharacteristic
141#464×C83C2211yescharacteristic
142#464×C83C2211yescharacteristic
143#464×C83C2211yescharacteristic
144#464×C83C2211yescharacteristic
145#464×C83C2211yescharacteristic
146#464×C83C2211yescharacteristic
147#464×C83C2211yescharacteristic
148#464×C83C2211yescharacteristic
149#463×C83C2211yescharacteristic
150#463×C83C2211yescharacteristic
151#463×C83C2211yescharacteristic
152#463×C83C2211yescharacteristic
153#462×C83C2211yescharacteristic
154#462×C83C2211yescharacteristic
155#461×C83C2211yescharacteristic
156#461×C83C2211yescharacteristic
157#452×C83C2211yescharacteristic
158#452×C83C2211yescharacteristic
159#452×C83C2211yescharacteristic
160#452×C83C2211yescharacteristic
161#452×C83C2211yescharacteristic
162#452×C83C2211yescharacteristic
163#452×C83C2211yescharacteristic
164#452×C83C2211yescharacteristic
165#451×C83C2211yescharacteristic
166#451×C83C2211yescharacteristic
167#449×C83C2211yescharacteristic
168#449×C83C2211yescharacteristic
169#449×C83C2211yescharacteristic
170#449×C83C2211yescharacteristic
171#448×C83C2211yescharacteristic
172#448×C83C2211yescharacteristic
173#442×C83C2211yescharacteristic
174#441×C83C2211yescharacteristic
175#441×C83C2211yescharacteristic
176#441×C83C2211yescharacteristic
177#440×C83C2211yescharacteristic
178#440×C83C2211yescharacteristic
179#440×C83C2211yescharacteristic
180#440×C83C2211yescharacteristic
181C4×Q16×C83C2211yescharacteristic
182C4×Q16×C83C2211yescharacteristic
183C4×Q16×C83C2211yescharacteristic
184C4×SD16×C83C2211yescharacteristic
185C4×SD16×C83C2211yescharacteristic
186C4×SD16×C83C2211yescharacteristic
187C4×SD16×C83C2211yescharacteristic
188C4×D8×C83C2211yescharacteristic
189#433×C83C2211yescharacteristic
190#433×C83C2211yescharacteristic
191#433×C83C2211yescharacteristic
192#433×C83C2211yescharacteristic
193#432×C83C2211yescharacteristic
194#432×C83C2211yescharacteristic
195#431×C83C2211yescharacteristic
196#431×C83C2211yescharacteristic
197#423×C83C2211yescharacteristic
198C2×C4⋊C8×C83C2211yescharacteristic
199#408×C83C2211yescharacteristic
200#408×C83C2211yescharacteristic
201#405×C83C2211yescharacteristic
202#405×C83C2211yescharacteristic
203C2×#41×C83C2311yescharacteristic
204C2×#41×C83C2311yescharacteristic
205C2×#41×C83C2311yescharacteristic
206C2×#41×C83C2311yescharacteristic
207C22×Q8×C83C2311yescharacteristic
208C2×Q16×C83C2311yescharacteristic
209C2×Q16×C83C2311yescharacteristic
210C2×Q16×C83C2311yescharacteristic
211C2×Q16×C83C2311yescharacteristic
212C2×Q16×C83C2311yescharacteristic
213C2×Q16×C83C2311yescharacteristic
214C2×SD16×C83C2311yescharacteristic
215C2×SD16×C83C2311yescharacteristic
216C2×SD16×C83C2311yescharacteristic
217C2×SD16×C83C2311yescharacteristic
218C2×SD16×C83C2311yescharacteristic
219C2×SD16×C83C2311yescharacteristic
220C2×SD16×C83C2311yescharacteristic
221C2×SD16×C83C2311yescharacteristic
222C2×D8×C83C2311yescharacteristic
223C2×D8×C83C2311yescharacteristic
224C2×M16×C83C2311yescharacteristic
225C2×M16×C83C2311yescharacteristic
226C22×C8×C83C2311yescharacteristic
227C22×C8×C83C2311yescharacteristic
228C4⋊Q8×C83—21no—
229C4⋊Q8×C83—21no—
230C4⋊Q8×C83C2311yescharacteristic
231C4⋊Q8×C83C2311yescharacteristic
232C4⋊Q8×C83C2311yescharacteristic
233C4⋊Q8×C83C2311yescharacteristic
234C4⋊Q8×C83C2311yescharacteristic
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#125×C83—21no—
253#125×C83—21no—
254#125×C83—21no—
255#125×C83—21no—
256#125×C83—21no—
257#125×C83—21no—
258#125×C83—21no—
259#125×C83—21no—
260#125×C83—21no—
261#125×C83—21no—
262#125×C83—21no—
263#125×C83—21no—
264#125×C83—21no—
265#125×C83C2311yescharacteristic
266#125×C83C2311yescharacteristic
267#125×C83C2311yescharacteristic
268#125×C83C2311yescharacteristic
269#125×C83C2311yescharacteristic
270#125×C83C2311yescharacteristic
271#124×C83—21no—
272#124×C83—21no—
273#124×C83—21no—
274#124×C83C2311yescharacteristic
275#124×C83C2311yescharacteristic
276#124×C83C2311yescharacteristic
277#124×C83C2311yescharacteristic
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×C83—21no—
290#123×C83—21no—
291#123×C83—21no—
292#123×C83—21no—
293#123×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×C83C2311yescharacteristic
306C22⋊Q8×C83C2311yescharacteristic
307C22⋊Q8×C83C2311yescharacteristic
308C22⋊Q8×C83C2311yescharacteristic
309C22⋊Q8×C83C2311yescharacteristic
310C22⋊Q8×C83C2311yescharacteristic
311C22⋊Q8×C83C2311yescharacteristic
312C22⋊Q8×C83C2311yescharacteristic
313C22⋊Q8×C83C2311yescharacteristic
314C22⋊Q8×C83C2311yescharacteristic
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×C83—21no—
327#121×C83—21no—
328#121×C83—21no—
329#121×C83—21no—
330#121×C83C2311yescharacteristic
331#121×C83C2311yescharacteristic
332#121×C83C2311yescharacteristic
333#121×C83C2311yescharacteristic
334#121×C83C2311yescharacteristic
335#121×C83C2311yescharacteristic
336C4×Q8×C83—21no—
337C4×Q8×C83—21no—
338C4×Q8×C83—21no—
339C4×Q8×C83—21no—
340C4×Q8×C83D411yescharacteristic
341C4×Q8×C83D411yescharacteristic
342C4×Q8×C83C2311yescharacteristic
343C4×Q8×C83C2311yescharacteristic
344C4×Q8×C83C2311yescharacteristic
345C4×Q8×C83C2311yescharacteristic
346C4×Q8×C83C2311yescharacteristic
347C4×Q8×C83C2311yescharacteristic
348C4×Q8×C83C2311yescharacteristic
349C4×Q8×C83C2311yescharacteristic
350C4×Q8×C83C2311yescharacteristic
351C4×Q8×C83C2311yescharacteristic
352C4×D4×C83—21no—
353C4×D4×C83—21no—
354C4×D4×C83—21no—
355C4×D4×C83—21no—
356C4×D4×C83—21no—
357C4×D4×C83—21no—
358C4×D4×C83—21no—
359C4×D4×C83—21no—
360C4×D4×C83—21no—
361C4×D4×C83—21no—
362C4×D4×C83—21no—
363C4×D4×C83—21no—
364C4×D4×C83—21no—
365C4×D4×C83—21no—
366C4×D4×C83D411yescharacteristic
367C4×D4×C83D411yescharacteristic
368C4×D4×C83D411yescharacteristic
369C4×D4×C83D411yescharacteristic
370C4×D4×C83D411yescharacteristic
371C4×D4×C83D411yescharacteristic
372C4×D4×C83C2311yescharacteristic
373C4×D4×C83C2311yescharacteristic
374C4×D4×C83C2311yescharacteristic
375C4×D4×C83C2311yescharacteristic
376C4×D4×C83C2311yescharacteristic
377C4×D4×C83C2311yescharacteristic
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×C83—21no—
387#117×C83—21no—
388#117×C83—21no—
389#117×C83C2311yescharacteristic
390#117×C83C2311yescharacteristic
391#117×C83C2311yescharacteristic
392#117×C83C2311yescharacteristic
393C2×C4⋊C4×C83—21no—
394C2×C4⋊C4×C83—21no—
395C2×C4⋊C4×C83—21no—
396C2×C4⋊C4×C83—21no—
397C2×C4⋊C4×C83—21no—
398C2×C4⋊C4×C83C2311yescharacteristic
399C2×C4⋊C4×C83C2311yescharacteristic
400C2×C4⋊C4×C83C2311yescharacteristic
401C2×C42×C83—21no—
402C2×C42×C83—21no—
403C2×C42×C83C2311yescharacteristic
404C2×C42×C83C2311yescharacteristic
405C2×C42×C83C2311yescharacteristic
406#107×C83C2311yescharacteristic
407#107×C83C2311yescharacteristic
408#107×C83C2311yescharacteristic
409#107×C83C2311yescharacteristic
410#107×C83C2311yescharacteristic
411#107×C83C2311yescharacteristic
412#107×C83C2311yescharacteristic
413#107×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
422C4⋊C8×C83C2311yescharacteristic
423C4⋊C8×C83C2311yescharacteristic
424C4⋊C8×C83C2311yescharacteristic
425C4⋊C8×C83C2311yescharacteristic
426C4⋊C8×C83C2311yescharacteristic
427C4⋊C8×C83C2311yescharacteristic
428C4⋊C8×C83C2311yescharacteristic
429C4⋊C8×C83C2311yescharacteristic
430#103×C83C2311yescharacteristic
431#103×C83C2311yescharacteristic
432#103×C83C2311yescharacteristic
433#103×C83C2311yescharacteristic
434#103×C83C2311yescharacteristic
435#103×C83C2311yescharacteristic
436#103×C83C2311yescharacteristic
437#103×C83C2311yescharacteristic
438#103×C83C2311yescharacteristic
439#103×C83C2311yescharacteristic
440#103×C83C2311yescharacteristic
441#103×C83C2311yescharacteristic
442#103×C83C2311yescharacteristic
443#103×C83C2311yescharacteristic
444#103×C83C2311yescharacteristic
445#103×C83C2311yescharacteristic
446#103×C83C2311yescharacteristic
447#103×C83C2311yescharacteristic
448#103×C83C2311yescharacteristic
449#103×C83C2311yescharacteristic
450#102×C83C2311yescharacteristic
451#102×C83C2311yescharacteristic
452#102×C83C2311yescharacteristic
453#102×C83C2311yescharacteristic
454#102×C83C2311yescharacteristic
455#102×C83C2311yescharacteristic
456#102×C83C2311yescharacteristic
457#102×C83C2311yescharacteristic
458#102×C83C2311yescharacteristic
459#102×C83C2311yescharacteristic
460#102×C83C2311yescharacteristic
461#102×C83C2311yescharacteristic
462C22⋊C8×C83C2311yescharacteristic
463C22⋊C8×C83C2311yescharacteristic
464C22⋊C8×C83C2311yescharacteristic
465C22⋊C8×C83C2311yescharacteristic
466C22⋊C8×C83C2311yescharacteristic
467C22⋊C8×C83C2311yescharacteristic
468C22⋊C8×C83C2311yescharacteristic
469C22⋊C8×C83C2311yescharacteristic
470#97×C83C2311yescharacteristic
471#97×C83C2311yescharacteristic
472#97×C83C2311yescharacteristic
473#97×C83C2311yescharacteristic
474C4×C8×C83C2311yescharacteristic
475C4×C8×C83C2311yescharacteristic
476C4×C8×C83C2311yescharacteristic
477C4×C8×C83C2311yescharacteristic
478#41×C83—41no—
479#41×C83—41no—
480#41×C83—41no—
481#41×C83—41no—
482#41×C83—41no—
483#41×C83—41no—
484#41×C83—41no—
485#41×C83—41no—
486C2×Q8×C83—21no—
487C2×Q8×C83—21no—
488C2×Q8×C83—21no—
489C2×Q8×C83—41no—
490C2×Q8×C83—41no—
491C2×Q8×C83C2×D411yescharacteristic
492C2×Q8×C83C2411yescharacteristic
493C2×Q8×C83C2411yescharacteristic
494C2×Q8×C83C2411yescharacteristic
495C2×Q8×C83C2411yescharacteristic
496C2×Q8×C83C2411yescharacteristic
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—21no—
508C2×D4×C83C2×D411yescharacteristic
509C2×D4×C83C2×D411yescharacteristic
510C2×D4×C83C2×D411yescharacteristic
511C2×D4×C83C2411yescharacteristic
512C2×D4×C83C2411yescharacteristic
513C2×D4×C83C2411yescharacteristic
514C22×C4×C83—21no—
515C22×C4×C83—21no—
516C22×C4×C83—21no—
517C22×C4×C83—21no—
518C22×C4×C83—21no—
519C22×C4×C83—21no—
520C22×C4×C83—21no—
521C22×C4×C83—21no—
522C22×C4×C83—21no—
523C22×C4×C83—21no—
524C22×C4×C83—21no—
525C22×C4×C83—21no—
526C22×C4×C83—21no—
527C22×C4×C83C2×D411yescharacteristic
528C22×C4×C83C2×D411yescharacteristic
529C22×C4×C83C2×D411yescharacteristic
530C22×C4×C83C2×D411yescharacteristic
531C22×C4×C83C2×D411yescharacteristic
532C22×C4×C83C2×D411yescharacteristic
533C22×C4×C83C2411yescharacteristic
534C22×C4×C83C2411yescharacteristic
535C22×C4×C83C2411yescharacteristic
536Q16×C83—41no—
537Q16×C83—41no—
538Q16×C83—41no—
539Q16×C83—41no—
540Q16×C83—41no—
541Q16×C83—41no—
542SD16×C83—41no—
543SD16×C83—41no—
544SD16×C83—41no—
545SD16×C83—41no—
546SD16×C83—41no—
547SD16×C83—41no—
548SD16×C83—41no—
549SD16×C83—41no—
550D8×C83—41no—
551D8×C83—41no—
552M16×C83—41no—
553M16×C83—41no—
554C2×C8×C83—41no—
555C2×C8×C83—41no—
556C2×C8×C83C2411yescharacteristic
557C2×C8×C83C2411yescharacteristic
558C2×C8×C83C2411yescharacteristic
559C2×C8×C83C2411yescharacteristic
560C2×C8×C83C2411yescharacteristic
561C2×C8×C83C2411yescharacteristic
562C2×C8×C83C2411yescharacteristic
563C2×C8×C83C2411yescharacteristic
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×C83—21no—
597C4⋊C4×C83—21no—
598C4⋊C4×C83—21no—
599C4⋊C4×C83—21no—
600C4⋊C4×C83—21no—
601C4⋊C4×C83—21no—
602C4⋊C4×C83—21no—
603C4⋊C4×C83—21no—
604C4⋊C4×C83—21no—
605C4⋊C4×C83—21no—
606C4⋊C4×C83—21no—
607C4⋊C4×C83C2×D411yescharacteristic
608C4⋊C4×C83C2×D411yescharacteristic
609C4⋊C4×C83C2×D411yescharacteristic
610C4⋊C4×C83C2×D411yescharacteristic
611C4⋊C4×C83C2×D411yescharacteristic
612C4⋊C4×C83C2×D411yescharacteristic
613C4⋊C4×C83C2411yescharacteristic
614C4⋊C4×C83C2411yescharacteristic
615C4⋊C4×C83C2411yescharacteristic
616C4⋊C4×C83C2411yescharacteristic
617C4⋊C4×C83C2411yescharacteristic
618C4⋊C4×C83C2411yescharacteristic
619C4⋊C4×C83C2411yescharacteristic
620C4⋊C4×C83C2411yescharacteristic
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×C83—21no—
649C22⋊C4×C83—21no—
650C22⋊C4×C83—21no—
651C22⋊C4×C83—21no—
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×C83—21no—
667C42×C83—21no—
668C42×C83—21no—
669C42×C83C2×D411yescharacteristic
670C42×C83C2×D411yescharacteristic
671C42×C83C2×D411yescharacteristic
672C42×C83C2×D411yescharacteristic
673C42×C83C2×D411yescharacteristic
674C42×C83C2×D411yescharacteristic
675C42×C83C2411yescharacteristic
676C42×C83C2411yescharacteristic
677C42×C83C2411yescharacteristic
678C42×C83C2411yescharacteristic
679C23×C83—21no—
680C23×C83—21no—
681C23×C83—21no—
682C23×C83C22×D411yescharacteristic
683C23×C83C22×D411yescharacteristic
684C23×C83C22×D411yescharacteristic
685Q8×C83—21no—
686Q8×C83—21no—
687Q8×C83—21no—
688Q8×C83—21no—
689Q8×C83—21no—
690Q8×C83—21no—
691Q8×C83—21no—
692Q8×C83—21no—
693Q8×C83—21no—
694Q8×C83—21no—
695Q8×C83—41no—
696Q8×C83—42no—
697Q8×C83—81no—
698Q8×C83—81no—
699D4×C83—21no—
700D4×C83—21no—
701D4×C83—21no—
702D4×C83—21no—
703D4×C83—21no—
704D4×C83—21no—
705D4×C83—41no—
706D4×C83—41no—
707D4×C83—41no—
708D4×C83—42no—
709D4×C83—42no—
710D4×C83—42no—
711D4×C83—81no—
712D4×C83—81no—
713D4×C83—81no—
714D4×C83—81no—
715D4×C83—81no—
716D4×C83—81no—
717D4×C83—81no—
718D4×C83—81no—
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—21no—
734C2×C4×C83—21no—
735C2×C4×C83—21no—
736C2×C4×C83—21no—
737C2×C4×C83—21no—
738C2×C4×C83—41no—
739C2×C4×C83—41no—
740C2×C4×C83—41no—
741C2×C4×C83—41no—
742C2×C4×C83—41no—
743C2×C4×C83—41no—
744C2×C4×C83—42no—
745C2×C4×C83—42no—
746C2×C4×C83—42no—
747C2×C4×C83—42no—
748C2×C4×C83—42no—
749C2×C4×C83—81no—
750C2×C4×C83—81no—
751C2×C4×C83—81no—
752C2×C4×C83—81no—
753C2×C4×C83—81no—
754C2×C4×C83—81no—
755C2×C4×C83—81no—
756C2×C4×C83—81no—
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×C83C22×D411yescharacteristic
766C2×C4×C83C22×D411yescharacteristic
767C2×C4×C83C22×D411yescharacteristic
768C2×C4×C83C2511yescharacteristic
769C8×C83—21no—
770C8×C83—21no—
771C8×C83—21no—
772C8×C83—21no—
773C8×C83—21no—
774C8×C83—21no—
775C8×C83—21no—
776C8×C83—21no—
777C22×C83—21no—
778C22×C83—21no—
779C22×C83—21no—
780C22×C83—21no—
781C22×C83—21no—
782C22×C83—21no—
783C22×C83—21no—
784C22×C83—21no—
785C22×C83—21no—
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×C83C23×D411yescharacteristic
796C4×C83—21no—
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—41no—
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×C83#58511yescharacteristic
821C4×C83#58511yescharacteristic
822#60999C8311yesmaximal, characteristic, direct product factor, Sylow
823C2×C83—41no—
824C2×C83—41no—
825C2×C83—41no—
826C2×C83—81no—
827C2×C83—81no—
828C2×C83—81no—
829C2×C83#344911yescharacteristic
830C2×C83#358411yescharacteristic
831C2×C83#358611yescharacteristic
832#3512C2×C8311yescharacteristic, complemented
833#3461C2×C8311yescharacteristic, complemented
834#3256C2×C8311yescharacteristic, complemented
835#3252C2×C8311yescharacteristic, complemented
836#3250C2×C8311yescharacteristic, complemented
837#3248C2×C8311yescharacteristic, complemented
838#3242C2×C8311yescharacteristic, complemented
839#3241C2×C8311yescharacteristic, complemented
840#3236C2×C8311yescharacteristic, complemented
841#3232C2×C8311yescharacteristic, complemented
842#3223C2×C8311yescharacteristic, complemented
843#3221C2×C8311yescharacteristic, complemented
844#3219C2×C8311yescharacteristic, complemented
845#3210C2×C8311yescharacteristic, complemented
846#3204C2×C8311yescharacteristic, complemented
847#3203C2×C8311yescharacteristic, complemented
848#3201C2×C8311yescharacteristic, complemented
849#3201C2×C8311yescharacteristic, complemented
850#3179C2×C8311yescharacteristic, complemented
851#3178C2×C8311yescharacteristic, complemented
852#3177C2×C8311yescharacteristic, complemented
853#3174C2×C8311yescharacteristic, complemented
854#3125C2×C8311yescharacteristic, complemented
855#3124C2×C8311yescharacteristic, complemented
856#3120C2×C8311yescharacteristic, complemented
857#3120C2×C8311yescharacteristic, complemented
858#3117C2×C8311yescharacteristic, complemented
859#3111C2×C8311yescharacteristic, complemented
860#3108C2×C8311yescharacteristic, complemented
861#3102C2×C8311yescharacteristic, complemented
862#2925C2×C8311yescharacteristic, complemented
863C83#6099911yescharacteristic, direct product factor, Sylow
864#553—21no—
865#553—21no—
866#553—21no—
867#553—21no—
868#553—21no—
869#553—21no—
870#552—21no—
871#552—21no—
872#544C22×C8311yescharacteristic
873#542—21no—
874#542C22×C8311yescharacteristic
875#542C22×C8311yescharacteristic
876#541—21no—
877#541C22×C8311yescharacteristic
878#541C22×C8311yescharacteristic
879#541C22×C8311yescharacteristic
880#541C22×C8311yescharacteristic
881#540C22×C8311yescharacteristic
882#540C22×C8311yescharacteristic
883#539—21no—
884#539—21no—
885#537C22×C8311yescharacteristic
886#537C22×C8311yescharacteristic
887#537C22×C8311yescharacteristic
888#536C22×C8311yescharacteristic
889#536C22×C8311yescharacteristic
890#533—21no—
891#533C22×C8311yescharacteristic
892#533C22×C8311yescharacteristic
893#532C22×C8311yescharacteristic
894#529—21no—
895#529—21no—
896#529—21no—
897#529C22×C8311yescharacteristic
898#529C22×C8311yescharacteristic
899#529C22×C8311yescharacteristic
900#529C22×C8311yescharacteristic
901#529C22×C8311yescharacteristic
902#529C22×C8311yescharacteristic
903C2×#125C22×C8311yescharacteristic
904#520C22×C8311yescharacteristic
905#520C22×C8311yescharacteristic
906C4×#41C22×C8311yescharacteristic
907C4×#41C22×C8311yescharacteristic
908C2×C4×Q8C22×C8311yescharacteristic
909#501C22×C8311yescharacteristic
910#501C22×C8311yescharacteristic
911#499C22×C8311yescharacteristic
912#499C22×C8311yescharacteristic
913#497C22×C8311yescharacteristic
914#496C22×C8311yescharacteristic
915#494C22×C8311yescharacteristic
916#492C22×C8311yescharacteristic
917#491C22×C8311yescharacteristic
918#491C22×C8311yescharacteristic
919#491C22×C8311yescharacteristic
920#490C22×C8311yescharacteristic
921#488C22×C8311yescharacteristic
922#488C22×C8311yescharacteristic
923#487C22×C8311yescharacteristic
924#486C22×C8311yescharacteristic
925#485C22×C8311yescharacteristic
926#485C22×C8311yescharacteristic
927#484C22×C8311yescharacteristic
928#484C22×C8311yescharacteristic
929#484C22×C8311yescharacteristic
930#484C22×C8311yescharacteristic
931#483C22×C8311yescharacteristic
932#483C22×C8311yescharacteristic
933#483C22×C8311yescharacteristic
934#483C22×C8311yescharacteristic
935#482C22×C8311yescharacteristic
936#482C22×C8311yescharacteristic
937#481C22×C8311yescharacteristic
938#481C22×C8311yescharacteristic
939#480C22×C8311yescharacteristic
940#480C22×C8311yescharacteristic
941#479C22×C8311yescharacteristic
942#479C22×C8311yescharacteristic
943#479C22×C8311yescharacteristic
944#479C22×C8311yescharacteristic
945#479C22×C8311yescharacteristic
946#479C22×C8311yescharacteristic
947#479C22×C8311yescharacteristic
948#479C22×C8311yescharacteristic
949#478C22×C8311yescharacteristic
950#478C22×C8311yescharacteristic
951#478C22×C8311yescharacteristic
952#478C22×C8311yescharacteristic
953#477C22×C8311yescharacteristic
954#476C22×C8311yescharacteristic
955#475C22×C8311yescharacteristic
956#474C22×C8311yescharacteristic
957#470C22×C8311yescharacteristic
958#470C22×C8311yescharacteristic
959#470C22×C8311yescharacteristic
960#469C22×C8311yescharacteristic
961#468C22×C8311yescharacteristic
962#468C22×C8311yescharacteristic
963#468C22×C8311yescharacteristic
964#468C22×C8311yescharacteristic
965#467C22×C8311yescharacteristic
966#467C22×C8311yescharacteristic
967#467C22×C8311yescharacteristic
968#466C22×C8311yescharacteristic
969#465C22×C8311yescharacteristic
970#465C22×C8311yescharacteristic
971#465C22×C8311yescharacteristic
972#465C22×C8311yescharacteristic
973#464C22×C8311yescharacteristic
974#464C22×C8311yescharacteristic
975#464C22×C8311yescharacteristic
976#464C22×C8311yescharacteristic
977#464C22×C8311yescharacteristic
978#464C22×C8311yescharacteristic
979#464C22×C8311yescharacteristic
980#464C22×C8311yescharacteristic
981#463C22×C8311yescharacteristic
982#463C22×C8311yescharacteristic
983#463C22×C8311yescharacteristic
984#463C22×C8311yescharacteristic
985#462C22×C8311yescharacteristic
986#462C22×C8311yescharacteristic
987#461C22×C8311yescharacteristic
988#461C22×C8311yescharacteristic
989#452C22×C8311yescharacteristic
990#452C22×C8311yescharacteristic
991#452C22×C8311yescharacteristic
992#452C22×C8311yescharacteristic
993#452C22×C8311yescharacteristic
994#452C22×C8311yescharacteristic
995#452C22×C8311yescharacteristic
996#452C22×C8311yescharacteristic
997#451C22×C8311yescharacteristic
998#451C22×C8311yescharacteristic
999#449C22×C8311yescharacteristic
1000#449C22×C8311yescharacteristic
1001#449C22×C8311yescharacteristic
1002#449C22×C8311yescharacteristic
1003#448C22×C8311yescharacteristic
1004#448C22×C8311yescharacteristic
1005#442C22×C8311yescharacteristic
1006#441C22×C8311yescharacteristic
1007#441C22×C8311yescharacteristic
1008#441C22×C8311yescharacteristic
1009#440C22×C8311yescharacteristic
1010#440C22×C8311yescharacteristic
1011#440C22×C8311yescharacteristic
1012#440C22×C8311yescharacteristic
1013C4×Q16C22×C8311yescharacteristic
1014C4×Q16C22×C8311yescharacteristic
1015C4×Q16C22×C8311yescharacteristic
1016C4×SD16C22×C8311yescharacteristic
1017C4×SD16C22×C8311yescharacteristic
1018C4×SD16C22×C8311yescharacteristic
1019C4×SD16C22×C8311yescharacteristic
1020C4×D8C22×C8311yescharacteristic
1021#433C22×C8311yescharacteristic
1022#433C22×C8311yescharacteristic
1023#433C22×C8311yescharacteristic
1024#433C22×C8311yescharacteristic
1025#432C22×C8311yescharacteristic
1026#432C22×C8311yescharacteristic
1027#431C22×C8311yescharacteristic
1028#431C22×C8311yescharacteristic
1029#423C22×C8311yescharacteristic
1030C2×C4⋊C8C22×C8311yescharacteristic
1031#408C22×C8311yescharacteristic
1032#408C22×C8311yescharacteristic
1033#405C22×C8311yescharacteristic
1034#405C22×C8311yescharacteristic
1035C2×#41C23×C8311yescharacteristic
1036C2×#41C23×C8311yescharacteristic
1037C2×#41C23×C8311yescharacteristic
1038C2×#41C23×C8311yescharacteristic
1039C22×Q8C23×C8311yescharacteristic
1040C2×Q16C23×C8311yescharacteristic
1041C2×Q16C23×C8311yescharacteristic
1042C2×Q16C23×C8311yescharacteristic
1043C2×Q16C23×C8311yescharacteristic
1044C2×Q16C23×C8311yescharacteristic
1045C2×Q16C23×C8311yescharacteristic
1046C2×SD16C23×C8311yescharacteristic
1047C2×SD16C23×C8311yescharacteristic
1048C2×SD16C23×C8311yescharacteristic
1049C2×SD16C23×C8311yescharacteristic
1050C2×SD16C23×C8311yescharacteristic
1051C2×SD16C23×C8311yescharacteristic
1052C2×SD16C23×C8311yescharacteristic
1053C2×SD16C23×C8311yescharacteristic
1054C2×D8C23×C8311yescharacteristic
1055C2×D8C23×C8311yescharacteristic
1056C2×M16C23×C8311yescharacteristic
1057C2×M16C23×C8311yescharacteristic
1058C22×C8C23×C8311yescharacteristic
1059C22×C8C23×C8311yescharacteristic
1060C4⋊Q8—21no—
1061C4⋊Q8—21no—
1062C4⋊Q8C23×C8311yescharacteristic
1063C4⋊Q8C23×C8311yescharacteristic
1064C4⋊Q8C23×C8311yescharacteristic
1065C4⋊Q8C23×C8311yescharacteristic
1066C4⋊Q8C23×C8311yescharacteristic
1067#127C23×C8311yescharacteristic
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#126—21no—
1079#126—21no—
1080#126—21no—
1081#126—21no—
1082#126—21no—
1083#126—21no—
1084#125—21no—
1085#125—21no—
1086#125—21no—
1087#125—21no—
1088#125—21no—
1089#125—21no—
1090#125—21no—
1091#125—21no—
1092#125—21no—
1093#125—21no—
1094#125—21no—
1095#125—21no—
1096#125—21no—
1097#125C23×C8311yescharacteristic
1098#125C23×C8311yescharacteristic
1099#125C23×C8311yescharacteristic
1100#125C23×C8311yescharacteristic
1101#125C23×C8311yescharacteristic
1102#125C23×C8311yescharacteristic
1103#124—21no—
1104#124—21no—
1105#124—21no—
1106#124C23×C8311yescharacteristic
1107#124C23×C8311yescharacteristic
1108#124C23×C8311yescharacteristic
1109#124C23×C8311yescharacteristic
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#123—21no—
1123#123—21no—
1124#123—21no—
1125#123—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⋊Q8C23×C8311yescharacteristic
1138C22⋊Q8C23×C8311yescharacteristic
1139C22⋊Q8C23×C8311yescharacteristic
1140C22⋊Q8C23×C8311yescharacteristic
1141C22⋊Q8C23×C8311yescharacteristic
1142C22⋊Q8C23×C8311yescharacteristic
1143C22⋊Q8C23×C8311yescharacteristic
1144C22⋊Q8C23×C8311yescharacteristic
1145C22⋊Q8C23×C8311yescharacteristic
1146C22⋊Q8C23×C8311yescharacteristic
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#121—21no—
1160#121—21no—
1161#121—21no—
1162#121C23×C8311yescharacteristic
1163#121C23×C8311yescharacteristic
1164#121C23×C8311yescharacteristic
1165#121C23×C8311yescharacteristic
1166#121C23×C8311yescharacteristic
1167#121C23×C8311yescharacteristic
1168C4×Q8—21no—
1169C4×Q8—21no—
1170C4×Q8—21no—
1171C4×Q8—21no—
1172C4×Q8D4×C8311yescharacteristic
1173C4×Q8D4×C8311yescharacteristic
1174C4×Q8C23×C8311yescharacteristic
1175C4×Q8C23×C8311yescharacteristic
1176C4×Q8C23×C8311yescharacteristic
1177C4×Q8C23×C8311yescharacteristic
1178C4×Q8C23×C8311yescharacteristic
1179C4×Q8C23×C8311yescharacteristic
1180C4×Q8C23×C8311yescharacteristic
1181C4×Q8C23×C8311yescharacteristic
1182C4×Q8C23×C8311yescharacteristic
1183C4×Q8C23×C8311yescharacteristic
1184C4×D4—21no—
1185C4×D4—21no—
1186C4×D4—21no—
1187C4×D4—21no—
1188C4×D4—21no—
1189C4×D4—21no—
1190C4×D4—21no—
1191C4×D4—21no—
1192C4×D4—21no—
1193C4×D4—21no—
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—21no—
1197C4×D4—21no—
1198C4×D4D4×C8311yescharacteristic
1199C4×D4D4×C8311yescharacteristic
1200C4×D4D4×C8311yescharacteristic
1201C4×D4D4×C8311yescharacteristic
1202C4×D4D4×C8311yescharacteristic
1203C4×D4D4×C8311yescharacteristic
1204C4×D4C23×C8311yescharacteristic
1205C4×D4C23×C8311yescharacteristic
1206C4×D4C23×C8311yescharacteristic
1207C4×D4C23×C8311yescharacteristic
1208C4×D4C23×C8311yescharacteristic
1209C4×D4C23×C8311yescharacteristic
1210#117—21no—
1211#117—21no—
1212#117—21no—
1213#117—21no—
1214#117—21no—
1215#117—21no—
1216#117—21no—
1217#117—21no—
1218#117—21no—
1219#117—21no—
1220#117—21no—
1221#117C23×C8311yescharacteristic
1222#117C23×C8311yescharacteristic
1223#117C23×C8311yescharacteristic
1224#117C23×C8311yescharacteristic
1225C2×C4⋊C4—21no—
1226C2×C4⋊C4—21no—
1227C2×C4⋊C4—21no—
1228C2×C4⋊C4—21no—
1229C2×C4⋊C4—21no—
1230C2×C4⋊C4C23×C8311yescharacteristic
1231C2×C4⋊C4C23×C8311yescharacteristic
1232C2×C4⋊C4C23×C8311yescharacteristic
1233C2×C42—21no—
1234C2×C42—21no—
1235C2×C42C23×C8311yescharacteristic
1236C2×C42C23×C8311yescharacteristic
1237C2×C42C23×C8311yescharacteristic
1238#107C23×C8311yescharacteristic
1239#107C23×C8311yescharacteristic
1240#107C23×C8311yescharacteristic
1241#107C23×C8311yescharacteristic
1242#107C23×C8311yescharacteristic
1243#107C23×C8311yescharacteristic
1244#107C23×C8311yescharacteristic
1245#107C23×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
1254C4⋊C8C23×C8311yescharacteristic
1255C4⋊C8C23×C8311yescharacteristic
1256C4⋊C8C23×C8311yescharacteristic
1257C4⋊C8C23×C8311yescharacteristic
1258C4⋊C8C23×C8311yescharacteristic
1259C4⋊C8C23×C8311yescharacteristic
1260C4⋊C8C23×C8311yescharacteristic
1261C4⋊C8C23×C8311yescharacteristic
1262#103C23×C8311yescharacteristic
1263#103C23×C8311yescharacteristic
1264#103C23×C8311yescharacteristic
1265#103C23×C8311yescharacteristic
1266#103C23×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#103C23×C8311yescharacteristic
1280#103C23×C8311yescharacteristic
1281#103C23×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
1294C22⋊C8C23×C8311yescharacteristic
1295C22⋊C8C23×C8311yescharacteristic
1296C22⋊C8C23×C8311yescharacteristic
1297C22⋊C8C23×C8311yescharacteristic
1298C22⋊C8C23×C8311yescharacteristic
1299C22⋊C8C23×C8311yescharacteristic
1300C22⋊C8C23×C8311yescharacteristic
1301C22⋊C8C23×C8311yescharacteristic
1302#97C23×C8311yescharacteristic
1303#97C23×C8311yescharacteristic
1304#97C23×C8311yescharacteristic
1305#97C23×C8311yescharacteristic
1306C4×C8C23×C8311yescharacteristic
1307C4×C8C23×C8311yescharacteristic
1308C4×C8C23×C8311yescharacteristic
1309C4×C8C23×C8311yescharacteristic
1310#41—41no—
1311#41—41no—
1312#41—41no—
1313#41—41no—
1314#41—41no—
1315#41—41no—
1316#41—41no—
1317#41—41no—
1318C2×Q8—21no—
1319C2×Q8—21no—
1320C2×Q8—21no—
1321C2×Q8—41no—
1322C2×Q8—41no—
1323C2×Q8C2×D4×C8311yescharacteristic
1324C2×Q8C24×C8311yescharacteristic
1325C2×Q8C24×C8311yescharacteristic
1326C2×Q8C24×C8311yescharacteristic
1327C2×Q8C24×C8311yescharacteristic
1328C2×Q8C24×C8311yescharacteristic
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×D4C2×D4×C8311yescharacteristic
1341C2×D4C2×D4×C8311yescharacteristic
1342C2×D4C2×D4×C8311yescharacteristic
1343C2×D4C24×C8311yescharacteristic
1344C2×D4C24×C8311yescharacteristic
1345C2×D4C24×C8311yescharacteristic
1346C22×C4—21no—
1347C22×C4—21no—
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×C4C2×D4×C8311yescharacteristic
1360C22×C4C2×D4×C8311yescharacteristic
1361C22×C4C2×D4×C8311yescharacteristic
1362C22×C4C2×D4×C8311yescharacteristic
1363C22×C4C2×D4×C8311yescharacteristic
1364C22×C4C2×D4×C8311yescharacteristic
1365C22×C4C24×C8311yescharacteristic
1366C22×C4C24×C8311yescharacteristic
1367C22×C4C24×C8311yescharacteristic
1368Q16—41no—
1369Q16—41no—
1370Q16—41no—
1371Q16—41no—
1372Q16—41no—
1373Q16—41no—
1374SD16—41no—
1375SD16—41no—
1376SD16—41no—
1377SD16—41no—
1378SD16—41no—
1379SD16—41no—
1380SD16—41no—
1381SD16—41no—
1382D8—41no—
1383D8—41no—
1384M16—41no—
1385M16—41no—
1386C2×C8—41no—
1387C2×C8—41no—
1388C2×C8C24×C8311yescharacteristic
1389C2×C8C24×C8311yescharacteristic
1390C2×C8C24×C8311yescharacteristic
1391C2×C8C24×C8311yescharacteristic
1392C2×C8C24×C8311yescharacteristic
1393C2×C8C24×C8311yescharacteristic
1394C2×C8C24×C8311yescharacteristic
1395C2×C8C24×C8311yescharacteristic
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⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—21no—
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4C2×D4×C8311yescharacteristic
1440C4⋊C4C2×D4×C8311yescharacteristic
1441C4⋊C4C2×D4×C8311yescharacteristic
1442C4⋊C4C2×D4×C8311yescharacteristic
1443C4⋊C4C2×D4×C8311yescharacteristic
1444C4⋊C4C2×D4×C8311yescharacteristic
1445C4⋊C4C24×C8311yescharacteristic
1446C4⋊C4C24×C8311yescharacteristic
1447C4⋊C4C24×C8311yescharacteristic
1448C4⋊C4C24×C8311yescharacteristic
1449C4⋊C4C24×C8311yescharacteristic
1450C4⋊C4C24×C8311yescharacteristic
1451C4⋊C4C24×C8311yescharacteristic
1452C4⋊C4C24×C8311yescharacteristic
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⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4C2×D4×C8311yescharacteristic
1485C22⋊C4C2×D4×C8311yescharacteristic
1486C22⋊C4C2×D4×C8311yescharacteristic
1487C22⋊C4C2×D4×C8311yescharacteristic
1488C22⋊C4C2×D4×C8311yescharacteristic
1489C22⋊C4C2×D4×C8311yescharacteristic
1490C42—21no—
1491C42—21no—
1492C42—21no—
1493C42—21no—
1494C42—21no—
1495C42—21no—
1496C42—21no—
1497C42—21no—
1498C42—21no—
1499C42—21no—
1500C42—21no—
1501C42C2×D4×C8311yescharacteristic
1502C42C2×D4×C8311yescharacteristic
1503C42C2×D4×C8311yescharacteristic
1504C42C2×D4×C8311yescharacteristic
1505C42C2×D4×C8311yescharacteristic
1506C42C2×D4×C8311yescharacteristic
1507C42C24×C8311yescharacteristic
1508C42C24×C8311yescharacteristic
1509C42C24×C8311yescharacteristic
1510C42C24×C8311yescharacteristic
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23C22×D4×C8311yescharacteristic
1515C23C22×D4×C8311yescharacteristic
1516C23C22×D4×C8311yescharacteristic
1517Q8—21no—
1518Q8—21no—
1519Q8—21no—
1520Q8—21no—
1521Q8—21no—
1522Q8—21no—
1523Q8—21no—
1524Q8—21no—
1525Q8—21no—
1526Q8—21no—
1527Q8—41no—
1528Q8—42no—
1529Q8—81no—
1530Q8—81no—
1531D4—21no—
1532D4—21no—
1533D4—21no—
1534D4—21no—
1535D4—21no—
1536D4—21no—
1537D4—41no—
1538D4—41no—
1539D4—41no—
1540D4—42no—
1541D4—42no—
1542D4—42no—
1543D4—81no—
1544D4—81no—
1545D4—81no—
1546D4—81no—
1547D4—81no—
1548D4—81no—
1549D4—81no—
1550D4—81no—
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—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—41no—
1571C2×C4—41no—
1572C2×C4—41no—
1573C2×C4—41no—
1574C2×C4—41no—
1575C2×C4—41no—
1576C2×C4—42no—
1577C2×C4—42no—
1578C2×C4—42no—
1579C2×C4—42no—
1580C2×C4—42no—
1581C2×C4—81no—
1582C2×C4—81no—
1583C2×C4—81no—
1584C2×C4—81no—
1585C2×C4—81no—
1586C2×C4—81no—
1587C2×C4—81no—
1588C2×C4—81no—
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×C4C22×D4×C8311yescharacteristic
1599C2×C4C22×D4×C8311yescharacteristic
1600C2×C4C25×C8311yescharacteristic
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—21no—
1605C8—21no—
1606C8—21no—
1607C8—21no—
1608C8—21no—
1609C22—21no—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—21no—
1616C22—21no—
1617C22—21no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22C23×D4×C8311yescharacteristic
1628C4—21no—
1629C4—21no—
1630C4—21no—
1631C4—21no—
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—21no—
1638C4—21no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4#585×C8311yescharacteristic
1653C4#585×C8311yescharacteristic
1654C2—41no—
1655C2—41no—
1656C2—41no—
1657C2—81no—
1658C2—81no—
1659C2—81no—
1660C2C83×#344911yescharacteristic
1661C2C83×#358411yescharacteristic
1662C2C83×#358611yescharacteristic
subgroupG/H
center, socleC22×C83C23×D4
commutator, Frattini, cosocleC2×C4C25×C83
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C83 ◁ C4×#41×C83 ◁ G

Complements

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

NH ≅ G/Ntype
1. C83×#3512C2semidirect
2. C83×#3461C2semidirect
3. C83×#3256C2semidirect
4. C83×#3252C2semidirect
5. C83×#3250C2semidirect
6. C83×#3248C2semidirect
7. C83×#3242C2semidirect
8. C83×#3241C2semidirect
9. C83×#3236C2semidirect
10. C83×#3232C2semidirect
11. C83×#3223C2semidirect
12. C83×#3221C2semidirect
13. C83×#3219C2semidirect
14. C83×#3210C2semidirect
15. C83×#3204C2semidirect
16. C83×#3203C2semidirect
17. C83×#3201C2semidirect
18. C83×#3201C2semidirect
19. C83×#3179C2semidirect
20. C83×#3178C2semidirect
21. C83×#3177C2semidirect
22. C83×#3174C2semidirect
23. C83×#3125C2semidirect
24. C83×#3124C2semidirect
25. C83×#3120C2semidirect
26. C83×#3120C2semidirect
27. C83×#3117C2semidirect
28. C83×#3111C2semidirect
29. C83×#3108C2semidirect
30. C83×#3102C2semidirect
31. C83×#2925C2semidirect
822. #60999C83direct (N × H)
832. #3512C2×C83semidirect
833. #3461C2×C83semidirect
834. #3256C2×C83semidirect
835. #3252C2×C83semidirect
836. #3250C2×C83semidirect
837. #3248C2×C83semidirect
838. #3242C2×C83semidirect
839. #3241C2×C83semidirect
840. #3236C2×C83semidirect
841. #3232C2×C83semidirect
842. #3223C2×C83semidirect
843. #3221C2×C83semidirect
844. #3219C2×C83semidirect
845. #3210C2×C83semidirect
846. #3204C2×C83semidirect
847. #3203C2×C83semidirect
848. #3201C2×C83semidirect
849. #3201C2×C83semidirect
850. #3179C2×C83semidirect
851. #3178C2×C83semidirect
852. #3177C2×C83semidirect
853. #3174C2×C83semidirect
854. #3125C2×C83semidirect
855. #3124C2×C83semidirect
856. #3120C2×C83semidirect
857. #3120C2×C83semidirect
858. #3117C2×C83semidirect
859. #3111C2×C83semidirect
860. #3108C2×C83semidirect
861. #3102C2×C83semidirect
862. #2925C2×C83semidirect
863. C83#60999direct (N × H)

Maximal subgroups

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

subgroupindex
C83×#35122
C83×#34612
C83×#32562
C83×#32522
C83×#32502
C83×#32482
C83×#32422
C83×#32412
C83×#32362
C83×#32322
C83×#32232
C83×#32212
C83×#32192
C83×#32102
C83×#32042
C83×#32032
C83×#32012
C83×#31792
C83×#31782
C83×#31772
C83×#31742
C83×#31252
C83×#31242
C83×#31202
C83×#31172
C83×#31112
C83×#31082
C83×#31022
C83×#29252
#6099983