Finite Group Databasebeta

← C83×#61768 #35289592

Subgroups — C83×#61768 #35289592

Order 21248.

1706 conjugacy classes of subgroups.

The subgroup lattice has 1700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C83×#3539C211yesmaximal, characteristic, complemented
2C83×#3493C211yesmaximal, characteristic, complemented
3C83×#3350C211yesmaximal, characteristic, complemented
4C83×#3349C211yesmaximal, characteristic, complemented
5C83×#3348C211yesmaximal, characteristic, complemented
6C83×#3347C211yesmaximal, characteristic, complemented
7C83×#3339C211yesmaximal, characteristic, complemented
8C83×#3337C211yesmaximal, characteristic, complemented
9C83×#3337C211yesmaximal, characteristic, complemented
10C83×#3336C211yesmaximal, characteristic, complemented
11C83×#3317C211yesmaximal, characteristic, complemented
12C83×#3315C211yesmaximal, characteristic, complemented
13C83×#3309C211yesmaximal, characteristic, complemented
14C83×#3307C211yesmaximal, characteristic, complemented
15C83×#3305C211yesmaximal, characteristic, complemented
16C83×#3304C211yesmaximal, characteristic, complemented
17C83×#3303C211yesmaximal, characteristic, complemented
18C83×#3302C211yesmaximal, characteristic, complemented
19C83×#3242C211yesmaximal, characteristic, complemented
20C83×#3241C211yesmaximal, characteristic, complemented
21C83×#3204C211yesmaximal, characteristic, complemented
22C83×#3203C211yesmaximal, characteristic, complemented
23C83×#3191C211yesmaximal, characteristic, complemented
24C83×#3191C211yesmaximal, characteristic, complemented
25C83×#3120C211yesmaximal, characteristic, complemented
26C83×#3119C211yesmaximal, characteristic, complemented
27C83×#3099C211yesmaximal, characteristic, complemented
28C83×#3098C211yesmaximal, characteristic, complemented
29C83×#3091C211yesmaximal, characteristic, complemented
30C83×#3091C211yesmaximal, characteristic, complemented
31C83×#2977C211yesmaximal, characteristic, complemented
32#560×C83—21no—
33#560×C83—21no—
34#556×C83—21no—
35#556×C83C2211yescharacteristic
36#556×C83C2211yescharacteristic
37#555×C83—21no—
38#555×C83C2211yescharacteristic
39#555×C83C2211yescharacteristic
40#553×C83—21no—
41#553×C83—21no—
42#553×C83—21no—
43#553×C83C2211yescharacteristic
44#553×C83C2211yescharacteristic
45#553×C83C2211yescharacteristic
46#553×C83C2211yescharacteristic
47#552×C83—21no—
48#552×C83C2211yescharacteristic
49#552×C83C2211yescharacteristic
50#552×C83C2211yescharacteristic
51#552×C83C2211yescharacteristic
52#550×C83C2211yescharacteristic
53#550×C83C2211yescharacteristic
54#547×C83C2211yescharacteristic
55#547×C83C2211yescharacteristic
56#544×C83C2211yescharacteristic
57#541×C83C2211yescharacteristic
58#540×C83—21no—
59#540×C83—21no—
60#540×C83C2211yescharacteristic
61#539×C83—21no—
62#539×C83—21no—
63#538×C83—21no—
64#538×C83—21no—
65#537×C83C2211yescharacteristic
66#537×C83C2211yescharacteristic
67#537×C83C2211yescharacteristic
68#529×C83—21no—
69#529×C83—21no—
70#525×C83C2211yescharacteristic
71#525×C83C2211yescharacteristic
72#525×C83C2211yescharacteristic
73#525×C83C2211yescharacteristic
74#520×C83C2211yescharacteristic
75#520×C83C2211yescharacteristic
76C2×#117×C83C2211yescharacteristic
77#501×C83C2211yescharacteristic, complemented
78#501×C83C2211yescharacteristic, complemented
79#499×C83C2211yescharacteristic, complemented
80#499×C83C2211yescharacteristic, complemented
81#491×C83C2211yescharacteristic, complemented
82#490×C83C2211yescharacteristic, complemented
83#487×C83C2211yescharacteristic, complemented
84#486×C83C2211yescharacteristic, complemented
85#485×C83C2211yescharacteristic
86#485×C83C2211yescharacteristic
87#485×C83C2211yescharacteristic
88#485×C83C2211yescharacteristic
89#485×C83C2211yescharacteristic
90#485×C83C2211yescharacteristic
91#485×C83C2211yescharacteristic
92#485×C83C2211yescharacteristic
93#485×C83C2211yescharacteristic, complemented
94#485×C83C2211yescharacteristic, complemented
95#484×C83C2211yescharacteristic
96#484×C83C2211yescharacteristic
97#484×C83C2211yescharacteristic, complemented
98#484×C83C2211yescharacteristic, complemented
99#483×C83C2211yescharacteristic
100#483×C83C2211yescharacteristic
101#483×C83C2211yescharacteristic, complemented
102#483×C83C2211yescharacteristic, complemented
103#482×C83C2211yescharacteristic
104#482×C83C2211yescharacteristic
105#482×C83C2211yescharacteristic
106#482×C83C2211yescharacteristic
107#482×C83C2211yescharacteristic
108#482×C83C2211yescharacteristic
109#482×C83C2211yescharacteristic
110#482×C83C2211yescharacteristic
111#482×C83C2211yescharacteristic, complemented
112#482×C83C2211yescharacteristic, complemented
113#481×C83C2211yescharacteristic
114#481×C83C2211yescharacteristic
115#481×C83C2211yescharacteristic, complemented
116#481×C83C2211yescharacteristic, complemented
117#480×C83C2211yescharacteristic
118#480×C83C2211yescharacteristic
119#480×C83C2211yescharacteristic, complemented
120#480×C83C2211yescharacteristic, complemented
121#479×C83C2211yescharacteristic, complemented
122#479×C83C2211yescharacteristic, complemented
123#479×C83C2211yescharacteristic, complemented
124#479×C83C2211yescharacteristic, complemented
125#478×C83C2211yescharacteristic, complemented
126#478×C83C2211yescharacteristic, complemented
127#478×C83C2211yescharacteristic, complemented
128#478×C83C2211yescharacteristic, complemented
129#477×C83C2211yescharacteristic, complemented
130#476×C83C2211yescharacteristic, complemented
131#475×C83C2211yescharacteristic, complemented
132#474×C83C2211yescharacteristic, complemented
133#470×C83C2211yescharacteristic, complemented
134#469×C83C2211yescharacteristic, complemented
135#468×C83C2211yescharacteristic, complemented
136#468×C83C2211yescharacteristic, complemented
137#467×C83C2211yescharacteristic
138#467×C83C2211yescharacteristic
139#467×C83C2211yescharacteristic, complemented
140#466×C83C2211yescharacteristic
141#466×C83C2211yescharacteristic
142#466×C83C2211yescharacteristic, complemented
143#465×C83C2211yescharacteristic
144#465×C83C2211yescharacteristic
145#465×C83C2211yescharacteristic
146#465×C83C2211yescharacteristic
147#465×C83C2211yescharacteristic, complemented
148#465×C83C2211yescharacteristic, complemented
149#462×C83C2211yescharacteristic, complemented
150#461×C83C2211yescharacteristic, complemented
151#460×C83C2211yescharacteristic, complemented
152#459×C83C2211yescharacteristic, complemented
153#452×C83C2211yescharacteristic
154#452×C83C2211yescharacteristic
155#452×C83C2211yescharacteristic
156#452×C83C2211yescharacteristic
157#452×C83C2211yescharacteristic, complemented
158#452×C83C2211yescharacteristic, complemented
159#449×C83C2211yescharacteristic
160#449×C83C2211yescharacteristic
161#449×C83C2211yescharacteristic
162#449×C83C2211yescharacteristic
163#449×C83C2211yescharacteristic, complemented
164#449×C83C2211yescharacteristic, complemented
165#442×C83C2211yescharacteristic, complemented
166#441×C83C2211yescharacteristic, complemented
167#440×C83C2211yescharacteristic, complemented
168#440×C83C2211yescharacteristic, complemented
169C4×Q16×C83C2211yescharacteristic, complemented
170C4×SD16×C83C2211yescharacteristic, complemented
171C4×SD16×C83C2211yescharacteristic, complemented
172C4×D8×C83C2211yescharacteristic, complemented
173#435×C83C2211yescharacteristic
174#435×C83C2211yescharacteristic
175#435×C83C2211yescharacteristic
176#435×C83C2211yescharacteristic
177C8×D4×C83C2211yescharacteristic
178C8×D4×C83C2211yescharacteristic
179C8×D4×C83C2211yescharacteristic
180C8×D4×C83C2211yescharacteristic
181#433×C83C2211yescharacteristic
182#433×C83C2211yescharacteristic
183#428×C83C2211yescharacteristic, complemented
184#428×C83C2211yescharacteristic, complemented
185#427×C83C2211yescharacteristic
186#427×C83C2211yescharacteristic
187#427×C83C2211yescharacteristic
188#427×C83C2211yescharacteristic
189C2×#107×C83C2211yescharacteristic, complemented
190C2×#106×C83C2211yescharacteristic, complemented
191#417×C83C2211yescharacteristic, complemented
192#417×C83C2211yescharacteristic, complemented
193#416×C83C2211yescharacteristic
194#416×C83C2211yescharacteristic
195#416×C83C2211yescharacteristic
196#416×C83C2211yescharacteristic
197#416×C83C2211yescharacteristic, complemented
198#416×C83C2211yescharacteristic, complemented
199#408×C83C2211yescharacteristic
200#408×C83C2211yescharacteristic
201C2×C22⋊C8×C83C2211yescharacteristic
202C2×C22⋊C8×C83C2211yescharacteristic
203C2×#41×C83C2311yescharacteristic
204C2×#41×C83C2311yescharacteristic
205C2×#41×C83C2311yescharacteristic
206C2×#41×C83C2311yescharacteristic
207C2×#41×C83C2311yescharacteristic
208C2×#41×C83C2311yescharacteristic
209C23×C4×C83C2311yescharacteristic
210C2×Q16×C83C2311yescharacteristic
211C2×Q16×C83C2311yescharacteristic
212C2×SD16×C83C2311yescharacteristic
213C2×SD16×C83C2311yescharacteristic
214C2×SD16×C83C2311yescharacteristic
215C2×SD16×C83C2311yescharacteristic
216C2×D8×C83C2311yescharacteristic
217C2×D8×C83C2311yescharacteristic
218C2×M16×C83C2311yescharacteristic
219C2×M16×C83C2311yescharacteristic
220C22×C8×C83C2311yescharacteristic
221C22×C8×C83C2311yescharacteristic
222C22×C8×C83C2311yescharacteristic
223C22×C8×C83C2311yescharacteristic
224C22×C8×C83C2311yescharacteristic
225C22×C8×C83C2311yescharacteristic
226C4⋊Q8×C83—21no—
227C4⋊Q8×C83C2311yescharacteristic
228C4⋊Q8×C83C2311yescharacteristic
229C4⋊Q8×C83C2311yescharacteristic
230#127×C83—21no—
231#127×C83—21no—
232#127×C83C2311yescharacteristic
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×C83—21no—
246#126×C83—21no—
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×C83C2311yescharacteristic
255#125×C83C2311yescharacteristic
256#125×C83C2311yescharacteristic
257#125×C83C2311yescharacteristic
258#124×C83—21no—
259#124×C83—21no—
260#124×C83—21no—
261#124×C83—21no—
262#124×C83—21no—
263#124×C83—21no—
264#123×C83—21no—
265#123×C83—21no—
266#123×C83—21no—
267#123×C83—21no—
268#123×C83—21no—
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×C83D411yescharacteristic
282#123×C83D411yescharacteristic
283C22⋊Q8×C83—21no—
284C22⋊Q8×C83—21no—
285C22⋊Q8×C83—21no—
286C22⋊Q8×C83—21no—
287C22⋊Q8×C83—21no—
288C22⋊Q8×C83D411yescharacteristic
289C22⋊Q8×C83D411yescharacteristic
290C22⋊Q8×C83C2311yescharacteristic
291C22⋊Q8×C83C2311yescharacteristic
292C22⋊Q8×C83C2311yescharacteristic
293C22⋊Q8×C83C2311yescharacteristic
294C22⋊Q8×C83C2311yescharacteristic
295C22⋊Q8×C83C2311yescharacteristic
296C22⋊Q8×C83C2311yescharacteristic
297C22⋊Q8×C83C2311yescharacteristic
298C22⋊Q8×C83C2311yescharacteristic
299C22⋊Q8×C83C2311yescharacteristic
300#121×C83—21no—
301#121×C83—21no—
302#121×C83—21no—
303#121×C83—21no—
304#121×C83—21no—
305#121×C83—21no—
306#121×C83—21no—
307#121×C83—21no—
308#121×C83—21no—
309#121×C83—21no—
310#121×C83—21no—
311#121×C83—21no—
312#121×C83—21no—
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×C83D411yescharacteristic
324#121×C83D411yescharacteristic
325#121×C83C2311yescharacteristic
326#121×C83C2311yescharacteristic
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—
337#120×C83—21no—
338#120×C83D411yescharacteristic
339#120×C83D411yescharacteristic
340C4×Q8×C83—21no—
341C4×Q8×C83—21no—
342C4×Q8×C83—21no—
343C4×Q8×C83C2311yescharacteristic
344C4×Q8×C83C2311yescharacteristic
345C4×Q8×C83C2311yescharacteristic
346C4×Q8×C83C2311yescharacteristic
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×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×C83C2311yescharacteristic
365C4×D4×C83C2311yescharacteristic
366C4×D4×C83C2311yescharacteristic
367C4×D4×C83C2311yescharacteristic
368C4×D4×C83C2311yescharacteristic
369C4×D4×C83C2311yescharacteristic
370C4×D4×C83C2311yescharacteristic
371C4×D4×C83C2311yescharacteristic
372#117×C83—21no—
373#117×C83—21no—
374#117×C83—21no—
375#117×C83—21no—
376#117×C83—21no—
377#117×C83—21no—
378#117×C83—21no—
379#117×C83—21no—
380#117×C83—21no—
381#117×C83C2311yescharacteristic
382#117×C83C2311yescharacteristic
383#117×C83C2311yescharacteristic
384#117×C83C2311yescharacteristic
385#117×C83C2311yescharacteristic
386#117×C83C2311yescharacteristic
387#117×C83C2311yescharacteristic
388#117×C83C2311yescharacteristic
389#117×C83C2311yescharacteristic
390#117×C83C2311yescharacteristic
391C2×C4⋊C4×C83—21no—
392C2×C4⋊C4×C83—21no—
393C2×C4⋊C4×C83—21no—
394C2×C4⋊C4×C83C2311yescharacteristic
395C2×C4⋊C4×C83C2311yescharacteristic
396C2×C4⋊C4×C83C2311yescharacteristic
397C2×C4⋊C4×C83C2311yescharacteristic
398C2×C4⋊C4×C83C2311yescharacteristic
399C2×C4⋊C4×C83C2311yescharacteristic
400C2×C22⋊C4×C83—21no—
401C2×C42×C83—21no—
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#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
422#106×C83C2311yescharacteristic
423#106×C83C2311yescharacteristic
424#106×C83C2311yescharacteristic
425#106×C83C2311yescharacteristic
426C4⋊C8×C83C2311yescharacteristic
427C4⋊C8×C83C2311yescharacteristic
428C4⋊C8×C83C2311yescharacteristic
429C4⋊C8×C83C2311yescharacteristic
430#103×C83C2311yescharacteristic
431#103×C83C2311yescharacteristic
432#103×C83C2311yescharacteristic
433#103×C83C2311yescharacteristic
434#103×C83C2311yescharacteristic
435#103×C83C2311yescharacteristic
436#103×C83C2311yescharacteristic
437#103×C83C2311yescharacteristic
438#103×C83C2311yescharacteristic
439#103×C83C2311yescharacteristic
440#103×C83C2311yescharacteristic
441#103×C83C2311yescharacteristic
442#103×C83C2311yescharacteristic
443#103×C83C2311yescharacteristic
444#103×C83C2311yescharacteristic
445#103×C83C2311yescharacteristic
446#102×C83C2311yescharacteristic
447#102×C83C2311yescharacteristic
448#102×C83C2311yescharacteristic
449#102×C83C2311yescharacteristic
450#102×C83C2311yescharacteristic
451#102×C83C2311yescharacteristic
452#102×C83C2311yescharacteristic
453#102×C83C2311yescharacteristic
454#102×C83C2311yescharacteristic
455#102×C83C2311yescharacteristic
456#102×C83C2311yescharacteristic
457#102×C83C2311yescharacteristic
458#102×C83C2311yescharacteristic
459#102×C83C2311yescharacteristic
460#102×C83C2311yescharacteristic
461#102×C83C2311yescharacteristic
462C22⋊C8×C83C2311yescharacteristic
463C22⋊C8×C83C2311yescharacteristic
464C22⋊C8×C83C2311yescharacteristic
465C22⋊C8×C83C2311yescharacteristic
466C22⋊C8×C83C2311yescharacteristic
467C22⋊C8×C83C2311yescharacteristic
468C22⋊C8×C83C2311yescharacteristic
469C22⋊C8×C83C2311yescharacteristic
470C22⋊C8×C83C2311yescharacteristic
471C22⋊C8×C83C2311yescharacteristic
472C22⋊C8×C83C2311yescharacteristic
473C22⋊C8×C83C2311yescharacteristic
474#97×C83C2311yescharacteristic
475#97×C83C2311yescharacteristic
476C4×C8×C83C2311yescharacteristic
477C4×C8×C83C2311yescharacteristic
478C24×C83C2×D411yescharacteristic
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—
486#41×C83—41no—
487#41×C83—41no—
488#41×C83—41no—
489#41×C83—41no—
490#41×C83—41no—
491C2×Q8×C83—21no—
492C2×Q8×C83—21no—
493C2×Q8×C83C2×D411yescharacteristic
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×C83—21no—
509C2×D4×C83—21no—
510C2×D4×C83—21no—
511C2×D4×C83—21no—
512C2×D4×C83—21no—
513C2×D4×C83—21no—
514C2×D4×C83C2×D411yescharacteristic
515C2×D4×C83C2×D411yescharacteristic
516C2×D4×C83C2×D411yescharacteristic
517C2×D4×C83C2×D411yescharacteristic
518C2×D4×C83C2×D411yescharacteristic
519C2×D4×C83C2×D411yescharacteristic
520C2×D4×C83C2×D411yescharacteristic
521C2×D4×C83C2411yescharacteristic
522C2×D4×C83C2411yescharacteristic
523C2×D4×C83C2411yescharacteristic
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×C83—21no—
535C22×C4×C83—21no—
536C22×C4×C83—21no—
537C22×C4×C83—21no—
538C22×C4×C83—21no—
539C22×C4×C83—41no—
540C22×C4×C83—41no—
541C22×C4×C83C2×D411yescharacteristic
542C22×C4×C83C2×D411yescharacteristic
543C22×C4×C83C2×D411yescharacteristic
544C22×C4×C83C2411yescharacteristic
545C22×C4×C83C2411yescharacteristic
546C22×C4×C83C2411yescharacteristic
547C22×C4×C83C2411yescharacteristic
548C22×C4×C83C2411yescharacteristic
549Q16×C83—41no—
550Q16×C83—41no—
551SD16×C83—41no—
552SD16×C83—41no—
553SD16×C83—41no—
554SD16×C83—41no—
555D8×C83—41no—
556D8×C83—41no—
557M16×C83—41no—
558M16×C83—41no—
559C2×C8×C83—41no—
560C2×C8×C83—41no—
561C2×C8×C83—41no—
562C2×C8×C83—41no—
563C2×C8×C83—41no—
564C2×C8×C83—41no—
565C2×C8×C83C2411yescharacteristic
566C2×C8×C83C2411yescharacteristic
567C2×C8×C83C2411yescharacteristic
568C2×C8×C83C2411yescharacteristic
569C2×C8×C83C2411yescharacteristic
570C2×C8×C83C2411yescharacteristic
571C2×C8×C83C2411yescharacteristic
572C2×C8×C83C2411yescharacteristic
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×C83C2×D411yescharacteristic
606C4⋊C4×C83C2×D411yescharacteristic
607C4⋊C4×C83C2×D411yescharacteristic
608C4⋊C4×C83C2×D411yescharacteristic
609C4⋊C4×C83C2×D411yescharacteristic
610C4⋊C4×C83C2×D411yescharacteristic
611C4⋊C4×C83C2411yescharacteristic
612C4⋊C4×C83C2411yescharacteristic
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×C83—21no—
653C22⋊C4×C83—21no—
654C22⋊C4×C83C2×D411yescharacteristic
655C22⋊C4×C83C2×D411yescharacteristic
656C22⋊C4×C83C2×D411yescharacteristic
657C22⋊C4×C83C2×D411yescharacteristic
658C22⋊C4×C83C2×D411yescharacteristic
659C22⋊C4×C83C2×D411yescharacteristic
660C22⋊C4×C83C2×D411yescharacteristic
661C22⋊C4×C83C2×D411yescharacteristic
662C22⋊C4×C83C2×D411yescharacteristic
663C22⋊C4×C83C2×D411yescharacteristic
664C42×C83—21no—
665C42×C83—21no—
666C42×C83—21no—
667C42×C83—21no—
668C42×C83—21no—
669C42×C83—21no—
670C42×C83—21no—
671C42×C83—21no—
672C42×C83—21no—
673C42×C83—21no—
674C42×C83—21no—
675C42×C83—21no—
676C42×C83—21no—
677C42×C83C2411yescharacteristic
678C42×C83C2411yescharacteristic
679C23×C83—21no—
680C23×C83—21no—
681C23×C83—21no—
682C23×C83—41no—
683C23×C83—41no—
684C23×C83—41no—
685C23×C83C22×D411yescharacteristic
686C23×C83C22×D411yescharacteristic
687C23×C83C22×D411yescharacteristic
688C23×C83C22×D411yescharacteristic
689C23×C83C22×D411yescharacteristic
690Q8×C83—21no—
691Q8×C83—21no—
692Q8×C83—21no—
693Q8×C83—21no—
694Q8×C83—21no—
695Q8×C83—21no—
696Q8×C83—41no—
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—41no—
709D4×C83—41no—
710D4×C83—41no—
711D4×C83—41no—
712D4×C83—42no—
713D4×C83—81no—
714D4×C83—81no—
715D4×C83—81no—
716D4×C83—81no—
717D4×C83—81no—
718D4×C83—81no—
719D4×C83—81no—
720D4×C83—81no—
721D4×C83—81no—
722D4×C83—81no—
723D4×C83—81no—
724D4×C83—81no—
725D4×C83—81no—
726D4×C83—81no—
727D4×C83—81no—
728D4×C83—81no—
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—21no—
739C2×C4×C83—21no—
740C2×C4×C83—21no—
741C2×C4×C83—21no—
742C2×C4×C83—21no—
743C2×C4×C83—21no—
744C2×C4×C83—21no—
745C2×C4×C83—21no—
746C2×C4×C83—21no—
747C2×C4×C83—21no—
748C2×C4×C83—21no—
749C2×C4×C83—21no—
750C2×C4×C83—21no—
751C2×C4×C83—21no—
752C2×C4×C83—41no—
753C2×C4×C83—41no—
754C2×C4×C83—41no—
755C2×C4×C83—42no—
756C2×C4×C83—81no—
757C2×C4×C83—81no—
758C2×C4×C83—81no—
759C2×C4×C83—81no—
760C2×C4×C83—81no—
761C2×C4×C83—81no—
762C2×C4×C83—81no—
763C2×C4×C83—81no—
764C2×C4×C83—81no—
765C2×C4×C83—81no—
766C2×C4×C83—81no—
767C2×C4×C83—81no—
768C2×C4×C83—81no—
769C2×C4×C83—81no—
770C2×C4×C83C22×D411yescharacteristic
771C2×C4×C83C22×D411yescharacteristic
772C2×C4×C83C22×D411yescharacteristic
773C2×C4×C83C22×D411yescharacteristic
774C2×C4×C83C22×D411yescharacteristic
775C2×C4×C83C22×D411yescharacteristic
776C2×C4×C83C22×D411yescharacteristic
777C2×C4×C83C22×D411yescharacteristic
778C2×C4×C83C22×D411yescharacteristic
779C2×C4×C83C2511yescharacteristic
780C8×C83—21no—
781C8×C83—21no—
782C8×C83—21no—
783C8×C83—21no—
784C8×C83—21no—
785C8×C83—21no—
786C8×C83—21no—
787C8×C83—21no—
788C22×C83—21no—
789C22×C83—21no—
790C22×C83—21no—
791C22×C83—21no—
792C22×C83—21no—
793C22×C83—21no—
794C22×C83—21no—
795C22×C83—21no—
796C22×C83—21no—
797C22×C83—21no—
798C22×C83—21no—
799C22×C83—21no—
800C22×C83—21no—
801C22×C83—21no—
802C22×C83—21no—
803C22×C83—41no—
804C22×C83—41no—
805C22×C83—41no—
806C22×C83—41no—
807C22×C83—41no—
808C22×C83—41no—
809C22×C83—41no—
810C22×C83—41no—
811C22×C83—41no—
812C22×C83—82no—
813C22×C83C23×D411yescharacteristic
814C4×C83—21no—
815C4×C83—21no—
816C4×C83—21no—
817C4×C83—21no—
818C4×C83—21no—
819C4×C83—21no—
820C4×C83—21no—
821C4×C83—21no—
822C4×C83—21no—
823C4×C83—41no—
824C4×C83—41no—
825C4×C83—41no—
826C4×C83—41no—
827C4×C83—41no—
828C4×C83—41no—
829C4×C83—41no—
830C4×C83—41no—
831C4×C83—41no—
832C4×C83—41no—
833C4×C83—41no—
834C4×C83—41no—
835C4×C83—41no—
836C4×C83#58511yescharacteristic
837C4×C83#58511yescharacteristic
838#61768C8311yesmaximal, characteristic, direct product factor, Sylow
839C2×C83—41no—
840C2×C83—41no—
841C2×C83—41no—
842C2×C83—41no—
843C2×C83—41no—
844C2×C83—81no—
845C2×C83—81no—
846C2×C83—81no—
847C2×C83#348511yescharacteristic
848C2×C83#358411yescharacteristic
849C2×C83#358411yescharacteristic
850#3539C2×C8311yescharacteristic, complemented
851#3493C2×C8311yescharacteristic, complemented
852#3350C2×C8311yescharacteristic, complemented
853#3349C2×C8311yescharacteristic, complemented
854#3348C2×C8311yescharacteristic, complemented
855#3347C2×C8311yescharacteristic, complemented
856#3339C2×C8311yescharacteristic, complemented
857#3337C2×C8311yescharacteristic, complemented
858#3337C2×C8311yescharacteristic, complemented
859#3336C2×C8311yescharacteristic, complemented
860#3317C2×C8311yescharacteristic, complemented
861#3315C2×C8311yescharacteristic, complemented
862#3309C2×C8311yescharacteristic, complemented
863#3307C2×C8311yescharacteristic, complemented
864#3305C2×C8311yescharacteristic, complemented
865#3304C2×C8311yescharacteristic, complemented
866#3303C2×C8311yescharacteristic, complemented
867#3302C2×C8311yescharacteristic, complemented
868#3242C2×C8311yescharacteristic, complemented
869#3241C2×C8311yescharacteristic, complemented
870#3204C2×C8311yescharacteristic, complemented
871#3203C2×C8311yescharacteristic, complemented
872#3191C2×C8311yescharacteristic, complemented
873#3191C2×C8311yescharacteristic, complemented
874#3120C2×C8311yescharacteristic, complemented
875#3119C2×C8311yescharacteristic, complemented
876#3099C2×C8311yescharacteristic, complemented
877#3098C2×C8311yescharacteristic, complemented
878#3091C2×C8311yescharacteristic, complemented
879#3091C2×C8311yescharacteristic, complemented
880#2977C2×C8311yescharacteristic, complemented
881C83#6176811yescharacteristic, direct product factor, Sylow
882#560—21no—
883#560—21no—
884#556—21no—
885#556C22×C8311yescharacteristic
886#556C22×C8311yescharacteristic
887#555—21no—
888#555C22×C8311yescharacteristic
889#555C22×C8311yescharacteristic
890#553—21no—
891#553—21no—
892#553—21no—
893#553C22×C8311yescharacteristic
894#553C22×C8311yescharacteristic
895#553C22×C8311yescharacteristic
896#553C22×C8311yescharacteristic
897#552—21no—
898#552C22×C8311yescharacteristic
899#552C22×C8311yescharacteristic
900#552C22×C8311yescharacteristic
901#552C22×C8311yescharacteristic
902#550C22×C8311yescharacteristic
903#550C22×C8311yescharacteristic
904#547C22×C8311yescharacteristic
905#547C22×C8311yescharacteristic
906#544C22×C8311yescharacteristic
907#541C22×C8311yescharacteristic
908#540—21no—
909#540—21no—
910#540C22×C8311yescharacteristic
911#539—21no—
912#539—21no—
913#538—21no—
914#538—21no—
915#537C22×C8311yescharacteristic
916#537C22×C8311yescharacteristic
917#537C22×C8311yescharacteristic
918#529—21no—
919#529—21no—
920#525C22×C8311yescharacteristic
921#525C22×C8311yescharacteristic
922#525C22×C8311yescharacteristic
923#525C22×C8311yescharacteristic
924#520C22×C8311yescharacteristic
925#520C22×C8311yescharacteristic
926C2×#117C22×C8311yescharacteristic
927#501C22×C8311yescharacteristic, complemented
928#501C22×C8311yescharacteristic, complemented
929#499C22×C8311yescharacteristic, complemented
930#499C22×C8311yescharacteristic, complemented
931#491C22×C8311yescharacteristic, complemented
932#490C22×C8311yescharacteristic, complemented
933#487C22×C8311yescharacteristic, complemented
934#486C22×C8311yescharacteristic, complemented
935#485C22×C8311yescharacteristic
936#485C22×C8311yescharacteristic
937#485C22×C8311yescharacteristic
938#485C22×C8311yescharacteristic
939#485C22×C8311yescharacteristic
940#485C22×C8311yescharacteristic
941#485C22×C8311yescharacteristic
942#485C22×C8311yescharacteristic
943#485C22×C8311yescharacteristic, complemented
944#485C22×C8311yescharacteristic, complemented
945#484C22×C8311yescharacteristic
946#484C22×C8311yescharacteristic
947#484C22×C8311yescharacteristic, complemented
948#484C22×C8311yescharacteristic, complemented
949#483C22×C8311yescharacteristic
950#483C22×C8311yescharacteristic
951#483C22×C8311yescharacteristic, complemented
952#483C22×C8311yescharacteristic, complemented
953#482C22×C8311yescharacteristic
954#482C22×C8311yescharacteristic
955#482C22×C8311yescharacteristic
956#482C22×C8311yescharacteristic
957#482C22×C8311yescharacteristic
958#482C22×C8311yescharacteristic
959#482C22×C8311yescharacteristic
960#482C22×C8311yescharacteristic
961#482C22×C8311yescharacteristic, complemented
962#482C22×C8311yescharacteristic, complemented
963#481C22×C8311yescharacteristic
964#481C22×C8311yescharacteristic
965#481C22×C8311yescharacteristic, complemented
966#481C22×C8311yescharacteristic, complemented
967#480C22×C8311yescharacteristic
968#480C22×C8311yescharacteristic
969#480C22×C8311yescharacteristic, complemented
970#480C22×C8311yescharacteristic, complemented
971#479C22×C8311yescharacteristic, complemented
972#479C22×C8311yescharacteristic, complemented
973#479C22×C8311yescharacteristic, complemented
974#479C22×C8311yescharacteristic, complemented
975#478C22×C8311yescharacteristic, complemented
976#478C22×C8311yescharacteristic, complemented
977#478C22×C8311yescharacteristic, complemented
978#478C22×C8311yescharacteristic, complemented
979#477C22×C8311yescharacteristic, complemented
980#476C22×C8311yescharacteristic, complemented
981#475C22×C8311yescharacteristic, complemented
982#474C22×C8311yescharacteristic, complemented
983#470C22×C8311yescharacteristic, complemented
984#469C22×C8311yescharacteristic, complemented
985#468C22×C8311yescharacteristic, complemented
986#468C22×C8311yescharacteristic, complemented
987#467C22×C8311yescharacteristic
988#467C22×C8311yescharacteristic
989#467C22×C8311yescharacteristic, complemented
990#466C22×C8311yescharacteristic
991#466C22×C8311yescharacteristic
992#466C22×C8311yescharacteristic, complemented
993#465C22×C8311yescharacteristic
994#465C22×C8311yescharacteristic
995#465C22×C8311yescharacteristic
996#465C22×C8311yescharacteristic
997#465C22×C8311yescharacteristic, complemented
998#465C22×C8311yescharacteristic, complemented
999#462C22×C8311yescharacteristic, complemented
1000#461C22×C8311yescharacteristic, complemented
1001#460C22×C8311yescharacteristic, complemented
1002#459C22×C8311yescharacteristic, complemented
1003#452C22×C8311yescharacteristic
1004#452C22×C8311yescharacteristic
1005#452C22×C8311yescharacteristic
1006#452C22×C8311yescharacteristic
1007#452C22×C8311yescharacteristic, complemented
1008#452C22×C8311yescharacteristic, complemented
1009#449C22×C8311yescharacteristic
1010#449C22×C8311yescharacteristic
1011#449C22×C8311yescharacteristic
1012#449C22×C8311yescharacteristic
1013#449C22×C8311yescharacteristic, complemented
1014#449C22×C8311yescharacteristic, complemented
1015#442C22×C8311yescharacteristic, complemented
1016#441C22×C8311yescharacteristic, complemented
1017#440C22×C8311yescharacteristic, complemented
1018#440C22×C8311yescharacteristic, complemented
1019C4×Q16C22×C8311yescharacteristic, complemented
1020C4×SD16C22×C8311yescharacteristic, complemented
1021C4×SD16C22×C8311yescharacteristic, complemented
1022C4×D8C22×C8311yescharacteristic, complemented
1023#435C22×C8311yescharacteristic
1024#435C22×C8311yescharacteristic
1025#435C22×C8311yescharacteristic
1026#435C22×C8311yescharacteristic
1027C8×D4C22×C8311yescharacteristic
1028C8×D4C22×C8311yescharacteristic
1029C8×D4C22×C8311yescharacteristic
1030C8×D4C22×C8311yescharacteristic
1031#433C22×C8311yescharacteristic
1032#433C22×C8311yescharacteristic
1033#428C22×C8311yescharacteristic, complemented
1034#428C22×C8311yescharacteristic, complemented
1035#427C22×C8311yescharacteristic
1036#427C22×C8311yescharacteristic
1037#427C22×C8311yescharacteristic
1038#427C22×C8311yescharacteristic
1039C2×#107C22×C8311yescharacteristic, complemented
1040C2×#106C22×C8311yescharacteristic, complemented
1041#417C22×C8311yescharacteristic, complemented
1042#417C22×C8311yescharacteristic, complemented
1043#416C22×C8311yescharacteristic
1044#416C22×C8311yescharacteristic
1045#416C22×C8311yescharacteristic
1046#416C22×C8311yescharacteristic
1047#416C22×C8311yescharacteristic, complemented
1048#416C22×C8311yescharacteristic, complemented
1049#408C22×C8311yescharacteristic
1050#408C22×C8311yescharacteristic
1051C2×C22⋊C8C22×C8311yescharacteristic
1052C2×C22⋊C8C22×C8311yescharacteristic
1053C2×#41C23×C8311yescharacteristic
1054C2×#41C23×C8311yescharacteristic
1055C2×#41C23×C8311yescharacteristic
1056C2×#41C23×C8311yescharacteristic
1057C2×#41C23×C8311yescharacteristic
1058C2×#41C23×C8311yescharacteristic
1059C23×C4C23×C8311yescharacteristic
1060C2×Q16C23×C8311yescharacteristic
1061C2×Q16C23×C8311yescharacteristic
1062C2×SD16C23×C8311yescharacteristic
1063C2×SD16C23×C8311yescharacteristic
1064C2×SD16C23×C8311yescharacteristic
1065C2×SD16C23×C8311yescharacteristic
1066C2×D8C23×C8311yescharacteristic
1067C2×D8C23×C8311yescharacteristic
1068C2×M16C23×C8311yescharacteristic
1069C2×M16C23×C8311yescharacteristic
1070C22×C8C23×C8311yescharacteristic
1071C22×C8C23×C8311yescharacteristic
1072C22×C8C23×C8311yescharacteristic
1073C22×C8C23×C8311yescharacteristic
1074C22×C8C23×C8311yescharacteristic
1075C22×C8C23×C8311yescharacteristic
1076C4⋊Q8—21no—
1077C4⋊Q8C23×C8311yescharacteristic
1078C4⋊Q8C23×C8311yescharacteristic
1079C4⋊Q8C23×C8311yescharacteristic
1080#127—21no—
1081#127—21no—
1082#127C23×C8311yescharacteristic
1083#126—21no—
1084#126—21no—
1085#126—21no—
1086#126—21no—
1087#126—21no—
1088#126—21no—
1089#126—21no—
1090#126—21no—
1091#126—21no—
1092#126—21no—
1093#126—21no—
1094#126—21no—
1095#126—21no—
1096#126—21no—
1097#125—21no—
1098#125—21no—
1099#125—21no—
1100#125—21no—
1101#125—21no—
1102#125—21no—
1103#125—21no—
1104#125C23×C8311yescharacteristic
1105#125C23×C8311yescharacteristic
1106#125C23×C8311yescharacteristic
1107#125C23×C8311yescharacteristic
1108#124—21no—
1109#124—21no—
1110#124—21no—
1111#124—21no—
1112#124—21no—
1113#124—21no—
1114#123—21no—
1115#123—21no—
1116#123—21no—
1117#123—21no—
1118#123—21no—
1119#123—21no—
1120#123—21no—
1121#123—21no—
1122#123—21no—
1123#123—21no—
1124#123—21no—
1125#123—21no—
1126#123—21no—
1127#123—21no—
1128#123—21no—
1129#123—21no—
1130#123—21no—
1131#123D4×C8311yescharacteristic
1132#123D4×C8311yescharacteristic
1133C22⋊Q8—21no—
1134C22⋊Q8—21no—
1135C22⋊Q8—21no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8D4×C8311yescharacteristic
1139C22⋊Q8D4×C8311yescharacteristic
1140C22⋊Q8C23×C8311yescharacteristic
1141C22⋊Q8C23×C8311yescharacteristic
1142C22⋊Q8C23×C8311yescharacteristic
1143C22⋊Q8C23×C8311yescharacteristic
1144C22⋊Q8C23×C8311yescharacteristic
1145C22⋊Q8C23×C8311yescharacteristic
1146C22⋊Q8C23×C8311yescharacteristic
1147C22⋊Q8C23×C8311yescharacteristic
1148C22⋊Q8C23×C8311yescharacteristic
1149C22⋊Q8C23×C8311yescharacteristic
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#121—21no—
1163#121—21no—
1164#121—21no—
1165#121—21no—
1166#121—21no—
1167#121—21no—
1168#121—21no—
1169#121—21no—
1170#121—21no—
1171#121—21no—
1172#121—21no—
1173#121D4×C8311yescharacteristic
1174#121D4×C8311yescharacteristic
1175#121C23×C8311yescharacteristic
1176#121C23×C8311yescharacteristic
1177#121C23×C8311yescharacteristic
1178#121C23×C8311yescharacteristic
1179#121C23×C8311yescharacteristic
1180#121C23×C8311yescharacteristic
1181#121C23×C8311yescharacteristic
1182#121C23×C8311yescharacteristic
1183#121C23×C8311yescharacteristic
1184#121C23×C8311yescharacteristic
1185#120—21no—
1186#120—21no—
1187#120—21no—
1188#120D4×C8311yescharacteristic
1189#120D4×C8311yescharacteristic
1190C4×Q8—21no—
1191C4×Q8—21no—
1192C4×Q8—21no—
1193C4×Q8C23×C8311yescharacteristic
1194C4×Q8C23×C8311yescharacteristic
1195C4×Q8C23×C8311yescharacteristic
1196C4×Q8C23×C8311yescharacteristic
1197C4×D4—21no—
1198C4×D4—21no—
1199C4×D4—21no—
1200C4×D4—21no—
1201C4×D4—21no—
1202C4×D4—21no—
1203C4×D4—21no—
1204C4×D4—21no—
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—21no—
1208C4×D4—21no—
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—21no—
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4C23×C8311yescharacteristic
1215C4×D4C23×C8311yescharacteristic
1216C4×D4C23×C8311yescharacteristic
1217C4×D4C23×C8311yescharacteristic
1218C4×D4C23×C8311yescharacteristic
1219C4×D4C23×C8311yescharacteristic
1220C4×D4C23×C8311yescharacteristic
1221C4×D4C23×C8311yescharacteristic
1222#117—21no—
1223#117—21no—
1224#117—21no—
1225#117—21no—
1226#117—21no—
1227#117—21no—
1228#117—21no—
1229#117—21no—
1230#117—21no—
1231#117C23×C8311yescharacteristic
1232#117C23×C8311yescharacteristic
1233#117C23×C8311yescharacteristic
1234#117C23×C8311yescharacteristic
1235#117C23×C8311yescharacteristic
1236#117C23×C8311yescharacteristic
1237#117C23×C8311yescharacteristic
1238#117C23×C8311yescharacteristic
1239#117C23×C8311yescharacteristic
1240#117C23×C8311yescharacteristic
1241C2×C4⋊C4—21no—
1242C2×C4⋊C4—21no—
1243C2×C4⋊C4—21no—
1244C2×C4⋊C4C23×C8311yescharacteristic
1245C2×C4⋊C4C23×C8311yescharacteristic
1246C2×C4⋊C4C23×C8311yescharacteristic
1247C2×C4⋊C4C23×C8311yescharacteristic
1248C2×C4⋊C4C23×C8311yescharacteristic
1249C2×C4⋊C4C23×C8311yescharacteristic
1250C2×C22⋊C4—21no—
1251C2×C42—21no—
1252#107C23×C8311yescharacteristic
1253#107C23×C8311yescharacteristic
1254#107C23×C8311yescharacteristic
1255#107C23×C8311yescharacteristic
1256#107C23×C8311yescharacteristic
1257#107C23×C8311yescharacteristic
1258#107C23×C8311yescharacteristic
1259#107C23×C8311yescharacteristic
1260#107C23×C8311yescharacteristic
1261#107C23×C8311yescharacteristic
1262#107C23×C8311yescharacteristic
1263#107C23×C8311yescharacteristic
1264#106C23×C8311yescharacteristic
1265#106C23×C8311yescharacteristic
1266#106C23×C8311yescharacteristic
1267#106C23×C8311yescharacteristic
1268#106C23×C8311yescharacteristic
1269#106C23×C8311yescharacteristic
1270#106C23×C8311yescharacteristic
1271#106C23×C8311yescharacteristic
1272#106C23×C8311yescharacteristic
1273#106C23×C8311yescharacteristic
1274#106C23×C8311yescharacteristic
1275#106C23×C8311yescharacteristic
1276C4⋊C8C23×C8311yescharacteristic
1277C4⋊C8C23×C8311yescharacteristic
1278C4⋊C8C23×C8311yescharacteristic
1279C4⋊C8C23×C8311yescharacteristic
1280#103C23×C8311yescharacteristic
1281#103C23×C8311yescharacteristic
1282#103C23×C8311yescharacteristic
1283#103C23×C8311yescharacteristic
1284#103C23×C8311yescharacteristic
1285#103C23×C8311yescharacteristic
1286#103C23×C8311yescharacteristic
1287#103C23×C8311yescharacteristic
1288#103C23×C8311yescharacteristic
1289#103C23×C8311yescharacteristic
1290#103C23×C8311yescharacteristic
1291#103C23×C8311yescharacteristic
1292#103C23×C8311yescharacteristic
1293#103C23×C8311yescharacteristic
1294#103C23×C8311yescharacteristic
1295#103C23×C8311yescharacteristic
1296#102C23×C8311yescharacteristic
1297#102C23×C8311yescharacteristic
1298#102C23×C8311yescharacteristic
1299#102C23×C8311yescharacteristic
1300#102C23×C8311yescharacteristic
1301#102C23×C8311yescharacteristic
1302#102C23×C8311yescharacteristic
1303#102C23×C8311yescharacteristic
1304#102C23×C8311yescharacteristic
1305#102C23×C8311yescharacteristic
1306#102C23×C8311yescharacteristic
1307#102C23×C8311yescharacteristic
1308#102C23×C8311yescharacteristic
1309#102C23×C8311yescharacteristic
1310#102C23×C8311yescharacteristic
1311#102C23×C8311yescharacteristic
1312C22⋊C8C23×C8311yescharacteristic
1313C22⋊C8C23×C8311yescharacteristic
1314C22⋊C8C23×C8311yescharacteristic
1315C22⋊C8C23×C8311yescharacteristic
1316C22⋊C8C23×C8311yescharacteristic
1317C22⋊C8C23×C8311yescharacteristic
1318C22⋊C8C23×C8311yescharacteristic
1319C22⋊C8C23×C8311yescharacteristic
1320C22⋊C8C23×C8311yescharacteristic
1321C22⋊C8C23×C8311yescharacteristic
1322C22⋊C8C23×C8311yescharacteristic
1323C22⋊C8C23×C8311yescharacteristic
1324#97C23×C8311yescharacteristic
1325#97C23×C8311yescharacteristic
1326C4×C8C23×C8311yescharacteristic
1327C4×C8C23×C8311yescharacteristic
1328C24C2×D4×C8311yescharacteristic
1329#41—41no—
1330#41—41no—
1331#41—41no—
1332#41—41no—
1333#41—41no—
1334#41—41no—
1335#41—41no—
1336#41—41no—
1337#41—41no—
1338#41—41no—
1339#41—41no—
1340#41—41no—
1341C2×Q8—21no—
1342C2×Q8—21no—
1343C2×Q8C2×D4×C8311yescharacteristic
1344C2×Q8C24×C8311yescharacteristic
1345C2×Q8C24×C8311yescharacteristic
1346C2×Q8C24×C8311yescharacteristic
1347C2×D4—21no—
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—21no—
1351C2×D4—21no—
1352C2×D4—21no—
1353C2×D4—21no—
1354C2×D4—21no—
1355C2×D4—21no—
1356C2×D4—21no—
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4C2×D4×C8311yescharacteristic
1365C2×D4C2×D4×C8311yescharacteristic
1366C2×D4C2×D4×C8311yescharacteristic
1367C2×D4C2×D4×C8311yescharacteristic
1368C2×D4C2×D4×C8311yescharacteristic
1369C2×D4C2×D4×C8311yescharacteristic
1370C2×D4C2×D4×C8311yescharacteristic
1371C2×D4C24×C8311yescharacteristic
1372C2×D4C24×C8311yescharacteristic
1373C2×D4C24×C8311yescharacteristic
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—21no—
1377C22×C4—21no—
1378C22×C4—21no—
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—41no—
1390C22×C4—41no—
1391C22×C4C2×D4×C8311yescharacteristic
1392C22×C4C2×D4×C8311yescharacteristic
1393C22×C4C2×D4×C8311yescharacteristic
1394C22×C4C24×C8311yescharacteristic
1395C22×C4C24×C8311yescharacteristic
1396C22×C4C24×C8311yescharacteristic
1397C22×C4C24×C8311yescharacteristic
1398C22×C4C24×C8311yescharacteristic
1399Q16—41no—
1400Q16—41no—
1401SD16—41no—
1402SD16—41no—
1403SD16—41no—
1404SD16—41no—
1405D8—41no—
1406D8—41no—
1407M16—41no—
1408M16—41no—
1409C2×C8—41no—
1410C2×C8—41no—
1411C2×C8—41no—
1412C2×C8—41no—
1413C2×C8—41no—
1414C2×C8—41no—
1415C2×C8C24×C8311yescharacteristic
1416C2×C8C24×C8311yescharacteristic
1417C2×C8C24×C8311yescharacteristic
1418C2×C8C24×C8311yescharacteristic
1419C2×C8C24×C8311yescharacteristic
1420C2×C8C24×C8311yescharacteristic
1421C2×C8C24×C8311yescharacteristic
1422C2×C8C24×C8311yescharacteristic
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⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4C2×D4×C8311yescharacteristic
1456C4⋊C4C2×D4×C8311yescharacteristic
1457C4⋊C4C2×D4×C8311yescharacteristic
1458C4⋊C4C2×D4×C8311yescharacteristic
1459C4⋊C4C2×D4×C8311yescharacteristic
1460C4⋊C4C2×D4×C8311yescharacteristic
1461C4⋊C4C24×C8311yescharacteristic
1462C4⋊C4C24×C8311yescharacteristic
1463C4⋊C4C24×C8311yescharacteristic
1464C4⋊C4C24×C8311yescharacteristic
1465C4⋊C4C24×C8311yescharacteristic
1466C4⋊C4C24×C8311yescharacteristic
1467C4⋊C4C24×C8311yescharacteristic
1468C4⋊C4C24×C8311yescharacteristic
1469C4⋊C4C24×C8311yescharacteristic
1470C4⋊C4C24×C8311yescharacteristic
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⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4C2×D4×C8311yescharacteristic
1505C22⋊C4C2×D4×C8311yescharacteristic
1506C22⋊C4C2×D4×C8311yescharacteristic
1507C22⋊C4C2×D4×C8311yescharacteristic
1508C22⋊C4C2×D4×C8311yescharacteristic
1509C22⋊C4C2×D4×C8311yescharacteristic
1510C22⋊C4C2×D4×C8311yescharacteristic
1511C22⋊C4C2×D4×C8311yescharacteristic
1512C22⋊C4C2×D4×C8311yescharacteristic
1513C22⋊C4C2×D4×C8311yescharacteristic
1514C42—21no—
1515C42—21no—
1516C42—21no—
1517C42—21no—
1518C42—21no—
1519C42—21no—
1520C42—21no—
1521C42—21no—
1522C42—21no—
1523C42—21no—
1524C42—21no—
1525C42—21no—
1526C42—21no—
1527C42C24×C8311yescharacteristic
1528C42C24×C8311yescharacteristic
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—41no—
1533C23—41no—
1534C23—41no—
1535C23C22×D4×C8311yescharacteristic
1536C23C22×D4×C8311yescharacteristic
1537C23C22×D4×C8311yescharacteristic
1538C23C22×D4×C8311yescharacteristic
1539C23C22×D4×C8311yescharacteristic
1540Q8—21no—
1541Q8—21no—
1542Q8—21no—
1543Q8—21no—
1544Q8—21no—
1545Q8—21no—
1546Q8—41no—
1547Q8—81no—
1548Q8—81no—
1549D4—21no—
1550D4—21no—
1551D4—21no—
1552D4—21no—
1553D4—21no—
1554D4—21no—
1555D4—41no—
1556D4—41no—
1557D4—41no—
1558D4—41no—
1559D4—41no—
1560D4—41no—
1561D4—41no—
1562D4—42no—
1563D4—81no—
1564D4—81no—
1565D4—81no—
1566D4—81no—
1567D4—81no—
1568D4—81no—
1569D4—81no—
1570D4—81no—
1571D4—81no—
1572D4—81no—
1573D4—81no—
1574D4—81no—
1575D4—81no—
1576D4—81no—
1577D4—81no—
1578D4—81no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—41no—
1605C2×C4—42no—
1606C2×C4—81no—
1607C2×C4—81no—
1608C2×C4—81no—
1609C2×C4—81no—
1610C2×C4—81no—
1611C2×C4—81no—
1612C2×C4—81no—
1613C2×C4—81no—
1614C2×C4—81no—
1615C2×C4—81no—
1616C2×C4—81no—
1617C2×C4—81no—
1618C2×C4—81no—
1619C2×C4—81no—
1620C2×C4C22×D4×C8311yescharacteristic
1621C2×C4C22×D4×C8311yescharacteristic
1622C2×C4C22×D4×C8311yescharacteristic
1623C2×C4C22×D4×C8311yescharacteristic
1624C2×C4C22×D4×C8311yescharacteristic
1625C2×C4C22×D4×C8311yescharacteristic
1626C2×C4C22×D4×C8311yescharacteristic
1627C2×C4C22×D4×C8311yescharacteristic
1628C2×C4C22×D4×C8311yescharacteristic
1629C2×C4C25×C8311yescharacteristic
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—21no—
1634C8—21no—
1635C8—21no—
1636C8—21no—
1637C8—21no—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—21no—
1643C22—21no—
1644C22—21no—
1645C22—21no—
1646C22—21no—
1647C22—21no—
1648C22—21no—
1649C22—21no—
1650C22—21no—
1651C22—21no—
1652C22—21no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—82no—
1663C22C23×D4×C8311yescharacteristic
1664C4—21no—
1665C4—21no—
1666C4—21no—
1667C4—21no—
1668C4—21no—
1669C4—21no—
1670C4—21no—
1671C4—21no—
1672C4—21no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4#585×C8311yescharacteristic
1687C4#585×C8311yescharacteristic
1688C2—41no—
1689C2—41no—
1690C2—41no—
1691C2—41no—
1692C2—41no—
1693C2—81no—
1694C2—81no—
1695C2—81no—
1696C2C83×#348511yescharacteristic
1697C2C83×#358411yescharacteristic
1698C2C83×#358411yescharacteristic
subgroupG/H
center, socleC22×C83C23×D4
commutator, Frattini, cosocleC2×C4C25×C83
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C83 ◁ #525×C83 ◁ G

Complements

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

NH ≅ G/Ntype
1. C83×#3539C2semidirect
2. C83×#3493C2semidirect
3. C83×#3350C2semidirect
4. C83×#3349C2semidirect
5. C83×#3348C2semidirect
6. C83×#3347C2semidirect
7. C83×#3339C2semidirect
8. C83×#3337C2semidirect
9. C83×#3337C2semidirect
10. C83×#3336C2semidirect
11. C83×#3317C2semidirect
12. C83×#3315C2semidirect
13. C83×#3309C2semidirect
14. C83×#3307C2semidirect
15. C83×#3305C2semidirect
16. C83×#3304C2semidirect
17. C83×#3303C2semidirect
18. C83×#3302C2semidirect
19. C83×#3242C2semidirect
20. C83×#3241C2semidirect
21. C83×#3204C2semidirect
22. C83×#3203C2semidirect
23. C83×#3191C2semidirect
24. C83×#3191C2semidirect
25. C83×#3120C2semidirect
26. C83×#3119C2semidirect
27. C83×#3099C2semidirect
28. C83×#3098C2semidirect
29. C83×#3091C2semidirect
30. C83×#3091C2semidirect
31. C83×#2977C2semidirect
77. #501×C83C22semidirect
78. #501×C83C22semidirect
79. #499×C83C22semidirect
80. #499×C83C22semidirect
81. #491×C83C22semidirect
82. #490×C83C22semidirect
83. #487×C83C22semidirect
84. #486×C83C22semidirect
93. #485×C83C22semidirect
94. #485×C83C22semidirect
97. #484×C83C22semidirect
98. #484×C83C22semidirect
101. #483×C83C22semidirect
102. #483×C83C22semidirect
111. #482×C83C22semidirect
112. #482×C83C22semidirect
115. #481×C83C22semidirect
116. #481×C83C22semidirect
119. #480×C83C22semidirect
120. #480×C83C22semidirect
121. #479×C83C22semidirect
122. #479×C83C22semidirect
123. #479×C83C22semidirect
124. #479×C83C22semidirect
125. #478×C83C22semidirect
126. #478×C83C22semidirect
127. #478×C83C22semidirect
128. #478×C83C22semidirect
129. #477×C83C22semidirect
130. #476×C83C22semidirect
131. #475×C83C22semidirect
132. #474×C83C22semidirect
133. #470×C83C22semidirect
134. #469×C83C22semidirect
135. #468×C83C22semidirect
136. #468×C83C22semidirect
139. #467×C83C22semidirect
142. #466×C83C22semidirect
147. #465×C83C22semidirect
148. #465×C83C22semidirect
149. #462×C83C22semidirect
150. #461×C83C22semidirect
151. #460×C83C22semidirect
152. #459×C83C22semidirect
157. #452×C83C22semidirect
158. #452×C83C22semidirect
163. #449×C83C22semidirect
164. #449×C83C22semidirect
165. #442×C83C22semidirect
166. #441×C83C22semidirect
167. #440×C83C22semidirect
168. #440×C83C22semidirect
169. C4×Q16×C83C22semidirect
170. C4×SD16×C83C22semidirect
171. C4×SD16×C83C22semidirect
172. C4×D8×C83C22semidirect
183. #428×C83C22semidirect
184. #428×C83C22semidirect
189. C2×#107×C83C22semidirect
190. C2×#106×C83C22semidirect
191. #417×C83C22semidirect
192. #417×C83C22semidirect
197. #416×C83C22semidirect
198. #416×C83C22semidirect
838. #61768C83direct (N × H)
850. #3539C2×C83semidirect
851. #3493C2×C83semidirect
852. #3350C2×C83semidirect
853. #3349C2×C83semidirect
854. #3348C2×C83semidirect
855. #3347C2×C83semidirect
856. #3339C2×C83semidirect
857. #3337C2×C83semidirect
858. #3337C2×C83semidirect
859. #3336C2×C83semidirect
860. #3317C2×C83semidirect
861. #3315C2×C83semidirect
862. #3309C2×C83semidirect
863. #3307C2×C83semidirect
864. #3305C2×C83semidirect
865. #3304C2×C83semidirect
866. #3303C2×C83semidirect
867. #3302C2×C83semidirect
868. #3242C2×C83semidirect
869. #3241C2×C83semidirect
870. #3204C2×C83semidirect
871. #3203C2×C83semidirect
872. #3191C2×C83semidirect
873. #3191C2×C83semidirect
874. #3120C2×C83semidirect
875. #3119C2×C83semidirect
876. #3099C2×C83semidirect
877. #3098C2×C83semidirect
878. #3091C2×C83semidirect
879. #3091C2×C83semidirect
880. #2977C2×C83semidirect
881. C83#61768direct (N × H)
927. #501C22×C83semidirect
928. #501C22×C83semidirect
929. #499C22×C83semidirect
930. #499C22×C83semidirect
931. #491C22×C83semidirect
932. #490C22×C83semidirect
933. #487C22×C83semidirect
934. #486C22×C83semidirect
943. #485C22×C83semidirect
944. #485C22×C83semidirect
947. #484C22×C83semidirect
948. #484C22×C83semidirect
951. #483C22×C83semidirect
952. #483C22×C83semidirect
961. #482C22×C83semidirect
962. #482C22×C83semidirect
965. #481C22×C83semidirect
966. #481C22×C83semidirect
969. #480C22×C83semidirect
970. #480C22×C83semidirect
971. #479C22×C83semidirect
972. #479C22×C83semidirect
973. #479C22×C83semidirect
974. #479C22×C83semidirect
975. #478C22×C83semidirect
976. #478C22×C83semidirect
977. #478C22×C83semidirect
978. #478C22×C83semidirect
979. #477C22×C83semidirect
980. #476C22×C83semidirect
981. #475C22×C83semidirect
982. #474C22×C83semidirect
983. #470C22×C83semidirect
984. #469C22×C83semidirect
985. #468C22×C83semidirect
986. #468C22×C83semidirect
989. #467C22×C83semidirect
992. #466C22×C83semidirect
997. #465C22×C83semidirect
998. #465C22×C83semidirect
999. #462C22×C83semidirect
1000. #461C22×C83semidirect
1001. #460C22×C83semidirect
1002. #459C22×C83semidirect
1007. #452C22×C83semidirect
1008. #452C22×C83semidirect
1013. #449C22×C83semidirect
1014. #449C22×C83semidirect
1015. #442C22×C83semidirect
1016. #441C22×C83semidirect
1017. #440C22×C83semidirect
1018. #440C22×C83semidirect
1019. C4×Q16C22×C83semidirect
1020. C4×SD16C22×C83semidirect
1021. C4×SD16C22×C83semidirect
1022. C4×D8C22×C83semidirect
1033. #428C22×C83semidirect
1034. #428C22×C83semidirect
1039. C2×#107C22×C83semidirect
1040. C2×#106C22×C83semidirect
1041. #417C22×C83semidirect
1042. #417C22×C83semidirect
1047. #416C22×C83semidirect
1048. #416C22×C83semidirect

Maximal subgroups

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

subgroupindex
C83×#35392
C83×#34932
C83×#33502
C83×#33492
C83×#33482
C83×#33472
C83×#33392
C83×#33372
C83×#33362
C83×#33172
C83×#33152
C83×#33092
C83×#33072
C83×#33052
C83×#33042
C83×#33032
C83×#33022
C83×#32422
C83×#32412
C83×#32042
C83×#32032
C83×#31912
C83×#31202
C83×#31192
C83×#30992
C83×#30982
C83×#30912
C83×#29772
#6176883