Finite Group Databasebeta

← C83×#61801 #35289625

Subgroups — C83×#61801 #35289625

Order 21248.

1692 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C83×#3551C211yesmaximal, characteristic
2C83×#3507C211yesmaximal, characteristic, complemented
3C83×#3352C211yesmaximal, characteristic, complemented
4C83×#3351C211yesmaximal, characteristic, complemented
5C83×#3350C211yesmaximal, characteristic, complemented
6C83×#3349C211yesmaximal, characteristic, complemented
7C83×#3346C211yesmaximal, characteristic, complemented
8C83×#3344C211yesmaximal, characteristic, complemented
9C83×#3337C211yesmaximal, characteristic, complemented
10C83×#3336C211yesmaximal, characteristic, complemented
11C83×#3327C211yesmaximal, characteristic, complemented
12C83×#3323C211yesmaximal, characteristic, complemented
13C83×#3316C211yesmaximal, characteristic, complemented
14C83×#3314C211yesmaximal, characteristic, complemented
15C83×#3313C211yesmaximal, characteristic, complemented
16C83×#3311C211yesmaximal, characteristic, complemented
17C83×#3300C211yesmaximal, characteristic, complemented
18C83×#3296C211yesmaximal, characteristic, complemented
19C83×#3240C211yesmaximal, characteristic, complemented
20C83×#3233C211yesmaximal, characteristic, complemented
21C83×#3202C211yesmaximal, characteristic, complemented
22C83×#3201C211yesmaximal, characteristic, complemented
23C83×#3201C211yesmaximal, characteristic, complemented
24C83×#3200C211yesmaximal, characteristic, complemented
25C83×#3117C211yesmaximal, characteristic, complemented
26C83×#3108C211yesmaximal, characteristic, complemented
27C83×#3099C211yesmaximal, characteristic, complemented
28C83×#3098C211yesmaximal, characteristic, complemented
29C83×#3097C211yesmaximal, characteristic, complemented
30C83×#3096C211yesmaximal, characteristic, complemented
31C83×#2981C211yesmaximal, characteristic, complemented
32#563×C83—21no—
33#560×C83—21no—
34#559×C83—21no—
35#557×C83—21no—
36#556×C83—21no—
37#556×C83—21no—
38#556×C83C2211yescharacteristic
39#556×C83C2211yescharacteristic, complemented
40#555×C83—21no—
41#554×C83C2211yescharacteristic
42#554×C83C2211yescharacteristic, complemented
43#553×C83C2211yescharacteristic
44#553×C83C2211yescharacteristic
45#552×C83C2211yescharacteristic
46#552×C83C2211yescharacteristic
47#552×C83C2211yescharacteristic
48#552×C83C2211yescharacteristic
49#552×C83C2211yescharacteristic, complemented
50#552×C83C2211yescharacteristic, complemented
51#551×C83—21no—
52#548×C83C2211yescharacteristic
53#548×C83C2211yescharacteristic
54#546×C83C2211yescharacteristic
55#546×C83C2211yescharacteristic
56#540×C83—21no—
57#540×C83—21no—
58#539×C83—21no—
59#539×C83—21no—
60#538×C83—21no—
61#538×C83—21no—
62#537×C83C2211yescharacteristic
63#537×C83C2211yescharacteristic
64#536×C83C2211yescharacteristic
65#536×C83C2211yescharacteristic
66#536×C83C2211yescharacteristic, complemented
67#535×C83C2211yescharacteristic
68#533×C83C2211yescharacteristic, complemented
69#532×C83C2211yescharacteristic
70#529×C83—21no—
71#529×C83—21no—
72#529×C83C2211yescharacteristic
73#529×C83C2211yescharacteristic
74#520×C83C2211yescharacteristic
75#520×C83C2211yescharacteristic, complemented
76C2×C4×Q8×C83C2211yescharacteristic, complemented
77#501×C83C2211yescharacteristic, complemented
78#501×C83C2211yescharacteristic, complemented
79#499×C83C2211yescharacteristic, complemented
80#499×C83C2211yescharacteristic, complemented
81#489×C83C2211yescharacteristic
82#489×C83C2211yescharacteristic
83#488×C83C2211yescharacteristic
84#488×C83C2211yescharacteristic
85#485×C83C2211yescharacteristic
86#485×C83C2211yescharacteristic
87#485×C83C2211yescharacteristic
88#485×C83C2211yescharacteristic
89#485×C83C2211yescharacteristic, complemented
90#485×C83C2211yescharacteristic, complemented
91#485×C83C2211yescharacteristic, complemented
92#485×C83C2211yescharacteristic, complemented
93#485×C83C2211yescharacteristic, complemented
94#485×C83C2211yescharacteristic, complemented
95#485×C83C2211yescharacteristic, complemented
96#485×C83C2211yescharacteristic, complemented
97#484×C83C2211yescharacteristic
98#484×C83C2211yescharacteristic, complemented
99#484×C83C2211yescharacteristic, complemented
100#484×C83C2211yescharacteristic, complemented
101#484×C83C2211yescharacteristic, complemented
102#483×C83C2211yescharacteristic
103#483×C83C2211yescharacteristic, complemented
104#483×C83C2211yescharacteristic, complemented
105#483×C83C2211yescharacteristic, complemented
106#483×C83C2211yescharacteristic, complemented
107#482×C83C2211yescharacteristic
108#482×C83C2211yescharacteristic
109#482×C83C2211yescharacteristic
110#482×C83C2211yescharacteristic
111#482×C83C2211yescharacteristic
112#482×C83C2211yescharacteristic
113#482×C83C2211yescharacteristic
114#482×C83C2211yescharacteristic
115#481×C83C2211yescharacteristic
116#481×C83C2211yescharacteristic
117#481×C83C2211yescharacteristic
118#480×C83C2211yescharacteristic
119#480×C83C2211yescharacteristic
120#480×C83C2211yescharacteristic
121#479×C83C2211yescharacteristic, complemented
122#479×C83C2211yescharacteristic, complemented
123#479×C83C2211yescharacteristic, complemented
124#479×C83C2211yescharacteristic, complemented
125#479×C83C2211yescharacteristic, complemented
126#479×C83C2211yescharacteristic, complemented
127#478×C83C2211yescharacteristic
128#478×C83C2211yescharacteristic
129#477×C83C2211yescharacteristic, complemented
130#476×C83C2211yescharacteristic
131#475×C83C2211yescharacteristic, complemented
132#474×C83C2211yescharacteristic
133#470×C83C2211yescharacteristic
134#470×C83C2211yescharacteristic
135#470×C83C2211yescharacteristic, complemented
136#470×C83C2211yescharacteristic, complemented
137#468×C83C2211yescharacteristic
138#468×C83C2211yescharacteristic
139#468×C83C2211yescharacteristic
140#468×C83C2211yescharacteristic
141#467×C83C2211yescharacteristic
142#467×C83C2211yescharacteristic
143#467×C83C2211yescharacteristic, complemented
144#467×C83C2211yescharacteristic, complemented
145#465×C83C2211yescharacteristic
146#465×C83C2211yescharacteristic
147#465×C83C2211yescharacteristic
148#465×C83C2211yescharacteristic
149#464×C83C2211yescharacteristic
150#464×C83C2211yescharacteristic
151#464×C83C2211yescharacteristic
152#464×C83C2211yescharacteristic
153#452×C83C2211yescharacteristic
154#452×C83C2211yescharacteristic
155#452×C83C2211yescharacteristic
156#452×C83C2211yescharacteristic
157#451×C83C2211yescharacteristic, complemented
158#451×C83C2211yescharacteristic, complemented
159#451×C83C2211yescharacteristic, complemented
160#451×C83C2211yescharacteristic, complemented
161#450×C83C2211yescharacteristic
162#450×C83C2211yescharacteristic
163#448×C83C2211yescharacteristic
164#448×C83C2211yescharacteristic
165#441×C83C2211yescharacteristic, complemented
166#441×C83C2211yescharacteristic, complemented
167#440×C83C2211yescharacteristic
168#440×C83C2211yescharacteristic
169C4×Q16×C83C2211yescharacteristic, complemented
170C4×Q16×C83C2211yescharacteristic, complemented
171C4×SD16×C83C2211yescharacteristic
172C4×SD16×C83C2211yescharacteristic
173#436×C83C2211yescharacteristic
174#436×C83C2211yescharacteristic, complemented
175#435×C83C2211yescharacteristic
176#435×C83C2211yescharacteristic
177#435×C83C2211yescharacteristic, complemented
178#435×C83C2211yescharacteristic, complemented
179C8×D4×C83C2211yescharacteristic
180C8×D4×C83C2211yescharacteristic, complemented
181#432×C83C2211yescharacteristic, complemented
182#431×C83C2211yescharacteristic, complemented
183#428×C83C2211yescharacteristic
184#428×C83C2211yescharacteristic, complemented
185#428×C83C2211yescharacteristic, complemented
186#428×C83C2211yescharacteristic, complemented
187#427×C83C2211yescharacteristic
188#427×C83C2211yescharacteristic, complemented
189C2×#107×C83C2211yescharacteristic, complemented
190C2×#106×C83C2211yescharacteristic, complemented
191#419×C83C2211yescharacteristic, complemented
192#418×C83C2211yescharacteristic
193#417×C83C2211yescharacteristic
194#417×C83C2211yescharacteristic
195#416×C83C2211yescharacteristic
196#416×C83C2211yescharacteristic
197C2×#103×C83C2211yescharacteristic, complemented
198C2×#102×C83C2211yescharacteristic
199#408×C83C2211yescharacteristic
200#408×C83C2211yescharacteristic
201#408×C83C2211yescharacteristic, complemented
202#408×C83C2211yescharacteristic, complemented
203C2×#41×C83C2311yescharacteristic
204C2×#41×C83C2311yescharacteristic
205C2×#41×C83C2311yescharacteristic
206C2×#41×C83C2311yescharacteristic
207C22×Q8×C83C2311yescharacteristic
208C22×Q8×C83C2311yescharacteristic
209C22×D4×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×M16×C83C2311yescharacteristic
219C2×M16×C83C2311yescharacteristic
220C2×M16×C83C2311yescharacteristic
221C2×M16×C83C2311yescharacteristic
222C22×C8×C83C2311yescharacteristic
223C22×C8×C83C2311yescharacteristic
224C22×C8×C83C2311yescharacteristic
225C22×C8×C83C2311yescharacteristic
226C4⋊Q8×C83—21no—
227C4⋊Q8×C83—21no—
228C4⋊Q8×C83—21no—
229C4⋊Q8×C83D411yescharacteristic
230C4⋊Q8×C83C2311yescharacteristic
231C4⋊Q8×C83C2311yescharacteristic
232#127×C83—21no—
233#127×C83D411yescharacteristic
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#126×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×C83—21no—
255#125×C83—21no—
256#125×C83C2311yescharacteristic
257#125×C83C2311yescharacteristic
258#125×C83C2311yescharacteristic
259#125×C83C2311yescharacteristic
260#124×C83—21no—
261#124×C83—21no—
262#124×C83—21no—
263#124×C83—21no—
264#124×C83—21no—
265#124×C83—21no—
266#124×C83—21no—
267#124×C83—21no—
268#124×C83D411yescharacteristic
269#124×C83D411yescharacteristic
270#124×C83C2311yescharacteristic
271#124×C83C2311yescharacteristic
272#123×C83—21no—
273#123×C83—21no—
274#123×C83—21no—
275#123×C83—21no—
276#123×C83—21no—
277#123×C83—21no—
278#123×C83—21no—
279#123×C83—21no—
280#123×C83—21no—
281#123×C83—21no—
282#123×C83—21no—
283#123×C83—21no—
284#123×C83—21no—
285#123×C83—21no—
286#123×C83—21no—
287#123×C83—21no—
288#123×C83—21no—
289#123×C83—21no—
290C22⋊Q8×C83—21no—
291C22⋊Q8×C83—21no—
292C22⋊Q8×C83—21no—
293C22⋊Q8×C83—21no—
294C22⋊Q8×C83—21no—
295C22⋊Q8×C83—21no—
296C22⋊Q8×C83—21no—
297C22⋊Q8×C83—21no—
298C22⋊Q8×C83—21no—
299C22⋊Q8×C83—21no—
300C22⋊Q8×C83C2311yescharacteristic
301C22⋊Q8×C83C2311yescharacteristic
302C22⋊Q8×C83C2311yescharacteristic
303C22⋊Q8×C83C2311yescharacteristic
304C22⋊Q8×C83C2311yescharacteristic
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
314#121×C83—21no—
315#121×C83—21no—
316#121×C83—21no—
317#121×C83—21no—
318#121×C83—21no—
319#121×C83—21no—
320#121×C83—21no—
321#121×C83—21no—
322#121×C83—21no—
323#121×C83—21no—
324#121×C83—21no—
325#121×C83—21no—
326#121×C83D411yescharacteristic
327#121×C83D411yescharacteristic
328#121×C83D411yescharacteristic
329#121×C83D411yescharacteristic
330#121×C83C2311yescharacteristic
331#121×C83C2311yescharacteristic
332#121×C83C2311yescharacteristic
333#121×C83C2311yescharacteristic
334#121×C83C2311yescharacteristic
335#121×C83C2311yescharacteristic
336#120×C83—21no—
337#120×C83—21no—
338#120×C83—21no—
339#120×C83—21no—
340C4×Q8×C83—21no—
341C4×Q8×C83—21no—
342C4×Q8×C83—21no—
343C4×Q8×C83—21no—
344C4×Q8×C83—21no—
345C4×Q8×C83—21no—
346C4×Q8×C83—21no—
347C4×Q8×C83—21no—
348C4×Q8×C83C2311yescharacteristic
349C4×Q8×C83C2311yescharacteristic
350C4×Q8×C83C2311yescharacteristic
351C4×Q8×C83C2311yescharacteristic
352C4×Q8×C83C2311yescharacteristic
353C4×Q8×C83C2311yescharacteristic
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×C83—21no—
367C4×D4×C83—21no—
368C4×D4×C83C2311yescharacteristic
369C4×D4×C83C2311yescharacteristic
370C4×D4×C83C2311yescharacteristic
371C4×D4×C83C2311yescharacteristic
372C4×D4×C83C2311yescharacteristic
373C4×D4×C83C2311yescharacteristic
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×C83—21no—
382#117×C83C2311yescharacteristic
383#117×C83C2311yescharacteristic
384#117×C83C2311yescharacteristic
385#117×C83C2311yescharacteristic
386#117×C83C2311yescharacteristic
387#117×C83C2311yescharacteristic
388#117×C83C2311yescharacteristic
389#117×C83C2311yescharacteristic
390C2×C4⋊C4×C83—21no—
391C2×C4⋊C4×C83C2311yescharacteristic
392C2×C4⋊C4×C83C2311yescharacteristic
393C2×C4⋊C4×C83C2311yescharacteristic
394C2×C4⋊C4×C83C2311yescharacteristic
395C2×C4⋊C4×C83C2311yescharacteristic
396C2×C4⋊C4×C83C2311yescharacteristic
397C2×C4⋊C4×C83C2311yescharacteristic
398C2×C22⋊C4×C83—21no—
399C2×C22⋊C4×C83—21no—
400C2×C42×C83—21no—
401C2×C42×C83C2311yescharacteristic
402#107×C83C2311yescharacteristic
403#107×C83C2311yescharacteristic
404#107×C83C2311yescharacteristic
405#107×C83C2311yescharacteristic
406#107×C83C2311yescharacteristic
407#107×C83C2311yescharacteristic
408#107×C83C2311yescharacteristic
409#107×C83C2311yescharacteristic
410#107×C83C2311yescharacteristic
411#107×C83C2311yescharacteristic
412#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#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
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×C83—21no—
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—
487C2×Q8×C83—21no—
488C2×Q8×C83—21no—
489C2×Q8×C83—21no—
490C2×Q8×C83—21no—
491C2×Q8×C83—41no—
492C2×Q8×C83—41no—
493C2×Q8×C83—41no—
494C2×Q8×C83—41no—
495C2×Q8×C83C2×D411yescharacteristic
496C2×Q8×C83C2×D411yescharacteristic
497C2×Q8×C83C2411yescharacteristic
498C2×Q8×C83C2411yescharacteristic
499C2×Q8×C83C2411yescharacteristic
500C2×Q8×C83C2411yescharacteristic
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—41no—
511C2×D4×C83—41no—
512C2×D4×C83C2×D411yescharacteristic
513C2×D4×C83C2×D411yescharacteristic
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×C83C2×D411yescharacteristic
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×C83C2×D411yescharacteristic
538C22×C4×C83C2×D411yescharacteristic
539C22×C4×C83C2411yescharacteristic
540C22×C4×C83C2411yescharacteristic
541C22×C4×C83C2411yescharacteristic
542C22×C4×C83C2411yescharacteristic
543C22×C4×C83C2411yescharacteristic
544Q16×C83—41no—
545Q16×C83—41no—
546Q16×C83—41no—
547Q16×C83—41no—
548SD16×C83—41no—
549SD16×C83—41no—
550SD16×C83—41no—
551SD16×C83—41no—
552M16×C83—41no—
553M16×C83—41no—
554M16×C83—41no—
555M16×C83—41no—
556C2×C8×C83—41no—
557C2×C8×C83—41no—
558C2×C8×C83—41no—
559C2×C8×C83—41no—
560C2×C8×C83C2411yescharacteristic
561C2×C8×C83C2411yescharacteristic
562C2×C8×C83C2411yescharacteristic
563C2×C8×C83C2411yescharacteristic
564C2×C8×C83C2411yescharacteristic
565C2×C8×C83C2411yescharacteristic
566C2×C8×C83C2411yescharacteristic
567C2×C8×C83C2411yescharacteristic
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×C83C2×D411yescharacteristic
606C4⋊C4×C83C2×D411yescharacteristic
607C4⋊C4×C83C2×D411yescharacteristic
608C4⋊C4×C83C2×D411yescharacteristic
609C4⋊C4×C83C2411yescharacteristic
610C4⋊C4×C83C2411yescharacteristic
611C4⋊C4×C83C2411yescharacteristic
612C4⋊C4×C83C2411yescharacteristic
613C4⋊C4×C83C2411yescharacteristic
614C4⋊C4×C83C2411yescharacteristic
615C4⋊C4×C83C2411yescharacteristic
616C4⋊C4×C83C2411yescharacteristic
617C4⋊C4×C83C2411yescharacteristic
618C4⋊C4×C83C2411yescharacteristic
619C22⋊C4×C83—21no—
620C22⋊C4×C83—21no—
621C22⋊C4×C83—21no—
622C22⋊C4×C83—21no—
623C22⋊C4×C83—21no—
624C22⋊C4×C83—21no—
625C22⋊C4×C83—21no—
626C22⋊C4×C83—21no—
627C22⋊C4×C83—21no—
628C22⋊C4×C83—21no—
629C22⋊C4×C83—21no—
630C22⋊C4×C83—21no—
631C22⋊C4×C83—21no—
632C22⋊C4×C83—21no—
633C22⋊C4×C83—21no—
634C22⋊C4×C83—21no—
635C22⋊C4×C83—21no—
636C22⋊C4×C83—21no—
637C22⋊C4×C83—21no—
638C22⋊C4×C83—21no—
639C22⋊C4×C83—21no—
640C22⋊C4×C83—21no—
641C22⋊C4×C83—21no—
642C22⋊C4×C83—21no—
643C22⋊C4×C83—21no—
644C22⋊C4×C83—21no—
645C22⋊C4×C83—21no—
646C22⋊C4×C83—21no—
647C22⋊C4×C83—21no—
648C22⋊C4×C83—21no—
649C22⋊C4×C83—21no—
650C22⋊C4×C83—21no—
651C22⋊C4×C83—21no—
652C22⋊C4×C83—21no—
653C22⋊C4×C83C2×D411yescharacteristic
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
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×C83—21no—
670C42×C83—21no—
671C42×C83—21no—
672C42×C83—21no—
673C42×C83—21no—
674C42×C83—21no—
675C42×C83C2×D411yescharacteristic
676C42×C83C2×D411yescharacteristic
677C42×C83C2411yescharacteristic
678C42×C83C2411yescharacteristic
679C23×C83—21no—
680C23×C83—21no—
681C23×C83—81no—
682C23×C83—81no—
683C23×C83—81no—
684C23×C83C22×D411yescharacteristic
685C23×C83C22×D411yescharacteristic
686C23×C83C22×D411yescharacteristic
687C23×C83C22×D411yescharacteristic
688C23×C83C22×D411yescharacteristic
689Q8×C83—21no—
690Q8×C83—21no—
691Q8×C83—21no—
692Q8×C83—21no—
693Q8×C83—21no—
694Q8×C83—21no—
695Q8×C83—21no—
696Q8×C83—21no—
697Q8×C83—41no—
698Q8×C83—41no—
699Q8×C83—42no—
700Q8×C83—42no—
701Q8×C83—81no—
702Q8×C83—81no—
703D4×C83—21no—
704D4×C83—21no—
705D4×C83—21no—
706D4×C83—21no—
707D4×C83—41no—
708D4×C83—41no—
709D4×C83—41no—
710D4×C83—41no—
711D4×C83—41no—
712D4×C83—41no—
713D4×C83—41no—
714D4×C83—41no—
715D4×C83—41no—
716D4×C83—41no—
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—
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—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—41no—
751C2×C4×C83—41no—
752C2×C4×C83—42no—
753C2×C4×C83—81no—
754C2×C4×C83—81no—
755C2×C4×C83—81no—
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×C83C22×D411yescharacteristic
766C2×C4×C83C22×D411yescharacteristic
767C2×C4×C83C22×D411yescharacteristic
768C2×C4×C83C22×D411yescharacteristic
769C2×C4×C83C22×D411yescharacteristic
770C2×C4×C83C22×D411yescharacteristic
771C2×C4×C83C22×D411yescharacteristic
772C2×C4×C83C22×D411yescharacteristic
773C2×C4×C83C22×D411yescharacteristic
774C2×C4×C83C2511yescharacteristic
775C8×C83—21no—
776C8×C83—21no—
777C8×C83—21no—
778C8×C83—21no—
779C8×C83—21no—
780C8×C83—21no—
781C8×C83—21no—
782C8×C83—21no—
783C22×C83—21no—
784C22×C83—21no—
785C22×C83—21no—
786C22×C83—21no—
787C22×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—41no—
799C22×C83—41no—
800C22×C83—41no—
801C22×C83—41no—
802C22×C83—41no—
803C22×C83—41no—
804C22×C83—162no—
805C22×C83C23×D411yescharacteristic
806C4×C83—21no—
807C4×C83—21no—
808C4×C83—21no—
809C4×C83—21no—
810C4×C83—21no—
811C4×C83—21no—
812C4×C83—21no—
813C4×C83—21no—
814C4×C83—21no—
815C4×C83—41no—
816C4×C83—41no—
817C4×C83—41no—
818C4×C83—41no—
819C4×C83—41no—
820C4×C83—41no—
821C4×C83—41no—
822C4×C83—41no—
823C4×C83—41no—
824C4×C83—41no—
825C4×C83—41no—
826C4×C83—41no—
827C4×C83—41no—
828C4×C83—41no—
829C4×C83#58511yescharacteristic
830C4×C83#58511yescharacteristic
831#61801C8311yesmaximal, characteristic, direct product factor, Sylow
832C2×C83—41no—
833C2×C83—41no—
834C2×C83—41no—
835C2×C83—41no—
836C2×C83—41no—
837C2×C83—81no—
838C2×C83—81no—
839C2×C83#348511yescharacteristic
840C2×C83#358411yescharacteristic
841C2×C83#358611yescharacteristic
842#3551C2×C8311yescharacteristic
843#3507C2×C8311yescharacteristic, complemented
844#3352C2×C8311yescharacteristic, complemented
845#3351C2×C8311yescharacteristic, complemented
846#3350C2×C8311yescharacteristic, complemented
847#3349C2×C8311yescharacteristic, complemented
848#3346C2×C8311yescharacteristic, complemented
849#3344C2×C8311yescharacteristic, complemented
850#3337C2×C8311yescharacteristic, complemented
851#3336C2×C8311yescharacteristic, complemented
852#3327C2×C8311yescharacteristic, complemented
853#3323C2×C8311yescharacteristic, complemented
854#3316C2×C8311yescharacteristic, complemented
855#3314C2×C8311yescharacteristic, complemented
856#3313C2×C8311yescharacteristic, complemented
857#3311C2×C8311yescharacteristic, complemented
858#3300C2×C8311yescharacteristic, complemented
859#3296C2×C8311yescharacteristic, complemented
860#3240C2×C8311yescharacteristic, complemented
861#3233C2×C8311yescharacteristic, complemented
862#3202C2×C8311yescharacteristic, complemented
863#3201C2×C8311yescharacteristic, complemented
864#3201C2×C8311yescharacteristic, complemented
865#3200C2×C8311yescharacteristic, complemented
866#3117C2×C8311yescharacteristic, complemented
867#3108C2×C8311yescharacteristic, complemented
868#3099C2×C8311yescharacteristic, complemented
869#3098C2×C8311yescharacteristic, complemented
870#3097C2×C8311yescharacteristic, complemented
871#3096C2×C8311yescharacteristic, complemented
872#2981C2×C8311yescharacteristic, complemented
873C83#6180111yescharacteristic, direct product factor, Sylow
874#563—21no—
875#560—21no—
876#559—21no—
877#557—21no—
878#556—21no—
879#556—21no—
880#556C22×C8311yescharacteristic
881#556C22×C8311yescharacteristic, complemented
882#555—21no—
883#554C22×C8311yescharacteristic
884#554C22×C8311yescharacteristic, complemented
885#553C22×C8311yescharacteristic
886#553C22×C8311yescharacteristic
887#552C22×C8311yescharacteristic
888#552C22×C8311yescharacteristic
889#552C22×C8311yescharacteristic
890#552C22×C8311yescharacteristic
891#552C22×C8311yescharacteristic, complemented
892#552C22×C8311yescharacteristic, complemented
893#551—21no—
894#548C22×C8311yescharacteristic
895#548C22×C8311yescharacteristic
896#546C22×C8311yescharacteristic
897#546C22×C8311yescharacteristic
898#540—21no—
899#540—21no—
900#539—21no—
901#539—21no—
902#538—21no—
903#538—21no—
904#537C22×C8311yescharacteristic
905#537C22×C8311yescharacteristic
906#536C22×C8311yescharacteristic
907#536C22×C8311yescharacteristic
908#536C22×C8311yescharacteristic, complemented
909#535C22×C8311yescharacteristic
910#533C22×C8311yescharacteristic, complemented
911#532C22×C8311yescharacteristic
912#529—21no—
913#529—21no—
914#529C22×C8311yescharacteristic
915#529C22×C8311yescharacteristic
916#520C22×C8311yescharacteristic
917#520C22×C8311yescharacteristic, complemented
918C2×C4×Q8C22×C8311yescharacteristic, complemented
919#501C22×C8311yescharacteristic, complemented
920#501C22×C8311yescharacteristic, complemented
921#499C22×C8311yescharacteristic, complemented
922#499C22×C8311yescharacteristic, complemented
923#489C22×C8311yescharacteristic
924#489C22×C8311yescharacteristic
925#488C22×C8311yescharacteristic
926#488C22×C8311yescharacteristic
927#485C22×C8311yescharacteristic
928#485C22×C8311yescharacteristic
929#485C22×C8311yescharacteristic
930#485C22×C8311yescharacteristic
931#485C22×C8311yescharacteristic, complemented
932#485C22×C8311yescharacteristic, complemented
933#485C22×C8311yescharacteristic, complemented
934#485C22×C8311yescharacteristic, complemented
935#485C22×C8311yescharacteristic, complemented
936#485C22×C8311yescharacteristic, complemented
937#485C22×C8311yescharacteristic, complemented
938#485C22×C8311yescharacteristic, complemented
939#484C22×C8311yescharacteristic
940#484C22×C8311yescharacteristic, complemented
941#484C22×C8311yescharacteristic, complemented
942#484C22×C8311yescharacteristic, complemented
943#484C22×C8311yescharacteristic, complemented
944#483C22×C8311yescharacteristic
945#483C22×C8311yescharacteristic, complemented
946#483C22×C8311yescharacteristic, complemented
947#483C22×C8311yescharacteristic, complemented
948#483C22×C8311yescharacteristic, complemented
949#482C22×C8311yescharacteristic
950#482C22×C8311yescharacteristic
951#482C22×C8311yescharacteristic
952#482C22×C8311yescharacteristic
953#482C22×C8311yescharacteristic
954#482C22×C8311yescharacteristic
955#482C22×C8311yescharacteristic
956#482C22×C8311yescharacteristic
957#481C22×C8311yescharacteristic
958#481C22×C8311yescharacteristic
959#481C22×C8311yescharacteristic
960#480C22×C8311yescharacteristic
961#480C22×C8311yescharacteristic
962#480C22×C8311yescharacteristic
963#479C22×C8311yescharacteristic, complemented
964#479C22×C8311yescharacteristic, complemented
965#479C22×C8311yescharacteristic, complemented
966#479C22×C8311yescharacteristic, complemented
967#479C22×C8311yescharacteristic, complemented
968#479C22×C8311yescharacteristic, complemented
969#478C22×C8311yescharacteristic
970#478C22×C8311yescharacteristic
971#477C22×C8311yescharacteristic, complemented
972#476C22×C8311yescharacteristic
973#475C22×C8311yescharacteristic, complemented
974#474C22×C8311yescharacteristic
975#470C22×C8311yescharacteristic
976#470C22×C8311yescharacteristic
977#470C22×C8311yescharacteristic, complemented
978#470C22×C8311yescharacteristic, complemented
979#468C22×C8311yescharacteristic
980#468C22×C8311yescharacteristic
981#468C22×C8311yescharacteristic
982#468C22×C8311yescharacteristic
983#467C22×C8311yescharacteristic
984#467C22×C8311yescharacteristic
985#467C22×C8311yescharacteristic, complemented
986#467C22×C8311yescharacteristic, complemented
987#465C22×C8311yescharacteristic
988#465C22×C8311yescharacteristic
989#465C22×C8311yescharacteristic
990#465C22×C8311yescharacteristic
991#464C22×C8311yescharacteristic
992#464C22×C8311yescharacteristic
993#464C22×C8311yescharacteristic
994#464C22×C8311yescharacteristic
995#452C22×C8311yescharacteristic
996#452C22×C8311yescharacteristic
997#452C22×C8311yescharacteristic
998#452C22×C8311yescharacteristic
999#451C22×C8311yescharacteristic, complemented
1000#451C22×C8311yescharacteristic, complemented
1001#451C22×C8311yescharacteristic, complemented
1002#451C22×C8311yescharacteristic, complemented
1003#450C22×C8311yescharacteristic
1004#450C22×C8311yescharacteristic
1005#448C22×C8311yescharacteristic
1006#448C22×C8311yescharacteristic
1007#441C22×C8311yescharacteristic, complemented
1008#441C22×C8311yescharacteristic, complemented
1009#440C22×C8311yescharacteristic
1010#440C22×C8311yescharacteristic
1011C4×Q16C22×C8311yescharacteristic, complemented
1012C4×Q16C22×C8311yescharacteristic, complemented
1013C4×SD16C22×C8311yescharacteristic
1014C4×SD16C22×C8311yescharacteristic
1015#436C22×C8311yescharacteristic
1016#436C22×C8311yescharacteristic, complemented
1017#435C22×C8311yescharacteristic
1018#435C22×C8311yescharacteristic
1019#435C22×C8311yescharacteristic, complemented
1020#435C22×C8311yescharacteristic, complemented
1021C8×D4C22×C8311yescharacteristic
1022C8×D4C22×C8311yescharacteristic, complemented
1023#432C22×C8311yescharacteristic, complemented
1024#431C22×C8311yescharacteristic, complemented
1025#428C22×C8311yescharacteristic
1026#428C22×C8311yescharacteristic, complemented
1027#428C22×C8311yescharacteristic, complemented
1028#428C22×C8311yescharacteristic, complemented
1029#427C22×C8311yescharacteristic
1030#427C22×C8311yescharacteristic, complemented
1031C2×#107C22×C8311yescharacteristic, complemented
1032C2×#106C22×C8311yescharacteristic, complemented
1033#419C22×C8311yescharacteristic, complemented
1034#418C22×C8311yescharacteristic
1035#417C22×C8311yescharacteristic
1036#417C22×C8311yescharacteristic
1037#416C22×C8311yescharacteristic
1038#416C22×C8311yescharacteristic
1039C2×#103C22×C8311yescharacteristic, complemented
1040C2×#102C22×C8311yescharacteristic
1041#408C22×C8311yescharacteristic
1042#408C22×C8311yescharacteristic
1043#408C22×C8311yescharacteristic, complemented
1044#408C22×C8311yescharacteristic, complemented
1045C2×#41C23×C8311yescharacteristic
1046C2×#41C23×C8311yescharacteristic
1047C2×#41C23×C8311yescharacteristic
1048C2×#41C23×C8311yescharacteristic
1049C22×Q8C23×C8311yescharacteristic
1050C22×Q8C23×C8311yescharacteristic
1051C22×D4C23×C8311yescharacteristic
1052C2×Q16C23×C8311yescharacteristic
1053C2×Q16C23×C8311yescharacteristic
1054C2×Q16C23×C8311yescharacteristic
1055C2×Q16C23×C8311yescharacteristic
1056C2×SD16C23×C8311yescharacteristic
1057C2×SD16C23×C8311yescharacteristic
1058C2×SD16C23×C8311yescharacteristic
1059C2×SD16C23×C8311yescharacteristic
1060C2×M16C23×C8311yescharacteristic
1061C2×M16C23×C8311yescharacteristic
1062C2×M16C23×C8311yescharacteristic
1063C2×M16C23×C8311yescharacteristic
1064C22×C8C23×C8311yescharacteristic
1065C22×C8C23×C8311yescharacteristic
1066C22×C8C23×C8311yescharacteristic
1067C22×C8C23×C8311yescharacteristic
1068C4⋊Q8—21no—
1069C4⋊Q8—21no—
1070C4⋊Q8—21no—
1071C4⋊Q8D4×C8311yescharacteristic
1072C4⋊Q8C23×C8311yescharacteristic
1073C4⋊Q8C23×C8311yescharacteristic
1074#127—21no—
1075#127D4×C8311yescharacteristic
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#126—21no—
1085#126—21no—
1086#126—21no—
1087#126—21no—
1088#126—21no—
1089#126—21no—
1090#125—21no—
1091#125—21no—
1092#125—21no—
1093#125—21no—
1094#125—21no—
1095#125—21no—
1096#125—21no—
1097#125—21no—
1098#125C23×C8311yescharacteristic
1099#125C23×C8311yescharacteristic
1100#125C23×C8311yescharacteristic
1101#125C23×C8311yescharacteristic
1102#124—21no—
1103#124—21no—
1104#124—21no—
1105#124—21no—
1106#124—21no—
1107#124—21no—
1108#124—21no—
1109#124—21no—
1110#124D4×C8311yescharacteristic
1111#124D4×C8311yescharacteristic
1112#124C23×C8311yescharacteristic
1113#124C23×C8311yescharacteristic
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#123—21no—
1132C22⋊Q8—21no—
1133C22⋊Q8—21no—
1134C22⋊Q8—21no—
1135C22⋊Q8—21no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—21no—
1139C22⋊Q8—21no—
1140C22⋊Q8—21no—
1141C22⋊Q8—21no—
1142C22⋊Q8C23×C8311yescharacteristic
1143C22⋊Q8C23×C8311yescharacteristic
1144C22⋊Q8C23×C8311yescharacteristic
1145C22⋊Q8C23×C8311yescharacteristic
1146C22⋊Q8C23×C8311yescharacteristic
1147C22⋊Q8C23×C8311yescharacteristic
1148C22⋊Q8C23×C8311yescharacteristic
1149C22⋊Q8C23×C8311yescharacteristic
1150C22⋊Q8C23×C8311yescharacteristic
1151C22⋊Q8C23×C8311yescharacteristic
1152C22⋊Q8C23×C8311yescharacteristic
1153C22⋊Q8C23×C8311yescharacteristic
1154C22⋊Q8C23×C8311yescharacteristic
1155C22⋊Q8C23×C8311yescharacteristic
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#121D4×C8311yescharacteristic
1169#121D4×C8311yescharacteristic
1170#121D4×C8311yescharacteristic
1171#121D4×C8311yescharacteristic
1172#121C23×C8311yescharacteristic
1173#121C23×C8311yescharacteristic
1174#121C23×C8311yescharacteristic
1175#121C23×C8311yescharacteristic
1176#121C23×C8311yescharacteristic
1177#121C23×C8311yescharacteristic
1178#120—21no—
1179#120—21no—
1180#120—21no—
1181#120—21no—
1182C4×Q8—21no—
1183C4×Q8—21no—
1184C4×Q8—21no—
1185C4×Q8—21no—
1186C4×Q8—21no—
1187C4×Q8—21no—
1188C4×Q8—21no—
1189C4×Q8—21no—
1190C4×Q8C23×C8311yescharacteristic
1191C4×Q8C23×C8311yescharacteristic
1192C4×Q8C23×C8311yescharacteristic
1193C4×Q8C23×C8311yescharacteristic
1194C4×Q8C23×C8311yescharacteristic
1195C4×Q8C23×C8311yescharacteristic
1196C4×D4—21no—
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×D4C23×C8311yescharacteristic
1211C4×D4C23×C8311yescharacteristic
1212C4×D4C23×C8311yescharacteristic
1213C4×D4C23×C8311yescharacteristic
1214C4×D4C23×C8311yescharacteristic
1215C4×D4C23×C8311yescharacteristic
1216#117—21no—
1217#117—21no—
1218#117—21no—
1219#117—21no—
1220#117—21no—
1221#117—21no—
1222#117—21no—
1223#117—21no—
1224#117C23×C8311yescharacteristic
1225#117C23×C8311yescharacteristic
1226#117C23×C8311yescharacteristic
1227#117C23×C8311yescharacteristic
1228#117C23×C8311yescharacteristic
1229#117C23×C8311yescharacteristic
1230#117C23×C8311yescharacteristic
1231#117C23×C8311yescharacteristic
1232C2×C4⋊C4—21no—
1233C2×C4⋊C4C23×C8311yescharacteristic
1234C2×C4⋊C4C23×C8311yescharacteristic
1235C2×C4⋊C4C23×C8311yescharacteristic
1236C2×C4⋊C4C23×C8311yescharacteristic
1237C2×C4⋊C4C23×C8311yescharacteristic
1238C2×C4⋊C4C23×C8311yescharacteristic
1239C2×C4⋊C4C23×C8311yescharacteristic
1240C2×C22⋊C4—21no—
1241C2×C22⋊C4—21no—
1242C2×C42—21no—
1243C2×C42C23×C8311yescharacteristic
1244#107C23×C8311yescharacteristic
1245#107C23×C8311yescharacteristic
1246#107C23×C8311yescharacteristic
1247#107C23×C8311yescharacteristic
1248#107C23×C8311yescharacteristic
1249#107C23×C8311yescharacteristic
1250#107C23×C8311yescharacteristic
1251#107C23×C8311yescharacteristic
1252#107C23×C8311yescharacteristic
1253#107C23×C8311yescharacteristic
1254#107C23×C8311yescharacteristic
1255#107C23×C8311yescharacteristic
1256#106C23×C8311yescharacteristic
1257#106C23×C8311yescharacteristic
1258#106C23×C8311yescharacteristic
1259#106C23×C8311yescharacteristic
1260#106C23×C8311yescharacteristic
1261#106C23×C8311yescharacteristic
1262#106C23×C8311yescharacteristic
1263#106C23×C8311yescharacteristic
1264#106C23×C8311yescharacteristic
1265#106C23×C8311yescharacteristic
1266#106C23×C8311yescharacteristic
1267#106C23×C8311yescharacteristic
1268C4⋊C8C23×C8311yescharacteristic
1269C4⋊C8C23×C8311yescharacteristic
1270C4⋊C8C23×C8311yescharacteristic
1271C4⋊C8C23×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#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#102C23×C8311yescharacteristic
1293#102C23×C8311yescharacteristic
1294#102C23×C8311yescharacteristic
1295#102C23×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
1304C22⋊C8C23×C8311yescharacteristic
1305C22⋊C8C23×C8311yescharacteristic
1306C22⋊C8C23×C8311yescharacteristic
1307C22⋊C8C23×C8311yescharacteristic
1308C22⋊C8C23×C8311yescharacteristic
1309C22⋊C8C23×C8311yescharacteristic
1310C22⋊C8C23×C8311yescharacteristic
1311C22⋊C8C23×C8311yescharacteristic
1312C22⋊C8C23×C8311yescharacteristic
1313C22⋊C8C23×C8311yescharacteristic
1314C22⋊C8C23×C8311yescharacteristic
1315C22⋊C8C23×C8311yescharacteristic
1316#97C23×C8311yescharacteristic
1317#97C23×C8311yescharacteristic
1318C4×C8C23×C8311yescharacteristic
1319C4×C8C23×C8311yescharacteristic
1320C24—21no—
1321#41—41no—
1322#41—41no—
1323#41—41no—
1324#41—41no—
1325#41—41no—
1326#41—41no—
1327#41—41no—
1328#41—41no—
1329C2×Q8—21no—
1330C2×Q8—21no—
1331C2×Q8—21no—
1332C2×Q8—21no—
1333C2×Q8—41no—
1334C2×Q8—41no—
1335C2×Q8—41no—
1336C2×Q8—41no—
1337C2×Q8C2×D4×C8311yescharacteristic
1338C2×Q8C2×D4×C8311yescharacteristic
1339C2×Q8C24×C8311yescharacteristic
1340C2×Q8C24×C8311yescharacteristic
1341C2×Q8C24×C8311yescharacteristic
1342C2×Q8C24×C8311yescharacteristic
1343C2×D4—21no—
1344C2×D4—21no—
1345C2×D4—21no—
1346C2×D4—21no—
1347C2×D4—21no—
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—21no—
1351C2×D4—21no—
1352C2×D4—41no—
1353C2×D4—41no—
1354C2×D4C2×D4×C8311yescharacteristic
1355C2×D4C2×D4×C8311yescharacteristic
1356C2×D4C2×D4×C8311yescharacteristic
1357C2×D4C2×D4×C8311yescharacteristic
1358C2×D4C2×D4×C8311yescharacteristic
1359C2×D4C2×D4×C8311yescharacteristic
1360C2×D4C2×D4×C8311yescharacteristic
1361C2×D4C2×D4×C8311yescharacteristic
1362C2×D4C2×D4×C8311yescharacteristic
1363C2×D4C2×D4×C8311yescharacteristic
1364C2×D4C24×C8311yescharacteristic
1365C2×D4C24×C8311yescharacteristic
1366C22×C4—21no—
1367C22×C4—21no—
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—21no—
1377C22×C4—21no—
1378C22×C4—21no—
1379C22×C4C2×D4×C8311yescharacteristic
1380C22×C4C2×D4×C8311yescharacteristic
1381C22×C4C24×C8311yescharacteristic
1382C22×C4C24×C8311yescharacteristic
1383C22×C4C24×C8311yescharacteristic
1384C22×C4C24×C8311yescharacteristic
1385C22×C4C24×C8311yescharacteristic
1386Q16—41no—
1387Q16—41no—
1388Q16—41no—
1389Q16—41no—
1390SD16—41no—
1391SD16—41no—
1392SD16—41no—
1393SD16—41no—
1394M16—41no—
1395M16—41no—
1396M16—41no—
1397M16—41no—
1398C2×C8—41no—
1399C2×C8—41no—
1400C2×C8—41no—
1401C2×C8—41no—
1402C2×C8C24×C8311yescharacteristic
1403C2×C8C24×C8311yescharacteristic
1404C2×C8C24×C8311yescharacteristic
1405C2×C8C24×C8311yescharacteristic
1406C2×C8C24×C8311yescharacteristic
1407C2×C8C24×C8311yescharacteristic
1408C2×C8C24×C8311yescharacteristic
1409C2×C8C24×C8311yescharacteristic
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⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4C2×D4×C8311yescharacteristic
1448C4⋊C4C2×D4×C8311yescharacteristic
1449C4⋊C4C2×D4×C8311yescharacteristic
1450C4⋊C4C2×D4×C8311yescharacteristic
1451C4⋊C4C24×C8311yescharacteristic
1452C4⋊C4C24×C8311yescharacteristic
1453C4⋊C4C24×C8311yescharacteristic
1454C4⋊C4C24×C8311yescharacteristic
1455C4⋊C4C24×C8311yescharacteristic
1456C4⋊C4C24×C8311yescharacteristic
1457C4⋊C4C24×C8311yescharacteristic
1458C4⋊C4C24×C8311yescharacteristic
1459C4⋊C4C24×C8311yescharacteristic
1460C4⋊C4C24×C8311yescharacteristic
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⋊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⋊C4C2×D4×C8311yescharacteristic
1496C22⋊C4C2×D4×C8311yescharacteristic
1497C22⋊C4C2×D4×C8311yescharacteristic
1498C22⋊C4C2×D4×C8311yescharacteristic
1499C22⋊C4C2×D4×C8311yescharacteristic
1500C22⋊C4C2×D4×C8311yescharacteristic
1501C22⋊C4C2×D4×C8311yescharacteristic
1502C22⋊C4C2×D4×C8311yescharacteristic
1503C42—21no—
1504C42—21no—
1505C42—21no—
1506C42—21no—
1507C42—21no—
1508C42—21no—
1509C42—21no—
1510C42—21no—
1511C42—21no—
1512C42—21no—
1513C42—21no—
1514C42—21no—
1515C42—21no—
1516C42—21no—
1517C42C2×D4×C8311yescharacteristic
1518C42C2×D4×C8311yescharacteristic
1519C42C24×C8311yescharacteristic
1520C42C24×C8311yescharacteristic
1521C23—21no—
1522C23—21no—
1523C23—81no—
1524C23—81no—
1525C23—81no—
1526C23C22×D4×C8311yescharacteristic
1527C23C22×D4×C8311yescharacteristic
1528C23C22×D4×C8311yescharacteristic
1529C23C22×D4×C8311yescharacteristic
1530C23C22×D4×C8311yescharacteristic
1531Q8—21no—
1532Q8—21no—
1533Q8—21no—
1534Q8—21no—
1535Q8—21no—
1536Q8—21no—
1537Q8—21no—
1538Q8—21no—
1539Q8—41no—
1540Q8—41no—
1541Q8—42no—
1542Q8—42no—
1543Q8—81no—
1544Q8—81no—
1545D4—21no—
1546D4—21no—
1547D4—21no—
1548D4—21no—
1549D4—41no—
1550D4—41no—
1551D4—41no—
1552D4—41no—
1553D4—41no—
1554D4—41no—
1555D4—41no—
1556D4—41no—
1557D4—41no—
1558D4—41no—
1559D4—81no—
1560D4—81no—
1561D4—81no—
1562D4—81no—
1563D4—81no—
1564D4—81no—
1565D4—81no—
1566D4—81no—
1567D4—81no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
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—41no—
1593C2×C4—41no—
1594C2×C4—42no—
1595C2×C4—81no—
1596C2×C4—81no—
1597C2×C4—81no—
1598C2×C4—81no—
1599C2×C4—81no—
1600C2×C4—81no—
1601C2×C4—81no—
1602C2×C4—81no—
1603C2×C4—81no—
1604C2×C4—81no—
1605C2×C4—81no—
1606C2×C4—81no—
1607C2×C4C22×D4×C8311yescharacteristic
1608C2×C4C22×D4×C8311yescharacteristic
1609C2×C4C22×D4×C8311yescharacteristic
1610C2×C4C22×D4×C8311yescharacteristic
1611C2×C4C22×D4×C8311yescharacteristic
1612C2×C4C22×D4×C8311yescharacteristic
1613C2×C4C22×D4×C8311yescharacteristic
1614C2×C4C22×D4×C8311yescharacteristic
1615C2×C4C22×D4×C8311yescharacteristic
1616C2×C4C25×C8311yescharacteristic
1617C8—21no—
1618C8—21no—
1619C8—21no—
1620C8—21no—
1621C8—21no—
1622C8—21no—
1623C8—21no—
1624C8—21no—
1625C22—21no—
1626C22—21no—
1627C22—21no—
1628C22—21no—
1629C22—21no—
1630C22—21no—
1631C22—21no—
1632C22—21no—
1633C22—21no—
1634C22—21no—
1635C22—21no—
1636C22—21no—
1637C22—21no—
1638C22—21no—
1639C22—21no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—162no—
1647C22C23×D4×C8311yescharacteristic
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—21no—
1652C4—21no—
1653C4—21no—
1654C4—21no—
1655C4—21no—
1656C4—21no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—41no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4#585×C8311yescharacteristic
1672C4#585×C8311yescharacteristic
1673C2—41no—
1674C2—41no—
1675C2—41no—
1676C2—41no—
1677C2—41no—
1678C2—81no—
1679C2—81no—
1680C2C83×#348511yescharacteristic
1681C2C83×#358411yescharacteristic
1682C2C83×#358611yescharacteristic
subgroupG/H
center, socleC22×C83C23×D4
commutator, Frattini, cosocleC2×C4C25×C83
prime radicalC83×#3551C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C83 ◁ #532×C83 ◁ G

Complements

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

NH ≅ G/Ntype
2. C83×#3507C2semidirect
3. C83×#3352C2semidirect
4. C83×#3351C2semidirect
5. C83×#3350C2semidirect
6. C83×#3349C2semidirect
7. C83×#3346C2semidirect
8. C83×#3344C2semidirect
9. C83×#3337C2semidirect
10. C83×#3336C2semidirect
11. C83×#3327C2semidirect
12. C83×#3323C2semidirect
13. C83×#3316C2semidirect
14. C83×#3314C2semidirect
15. C83×#3313C2semidirect
16. C83×#3311C2semidirect
17. C83×#3300C2semidirect
18. C83×#3296C2semidirect
19. C83×#3240C2semidirect
20. C83×#3233C2semidirect
21. C83×#3202C2semidirect
22. C83×#3201C2semidirect
23. C83×#3201C2semidirect
24. C83×#3200C2semidirect
25. C83×#3117C2semidirect
26. C83×#3108C2semidirect
27. C83×#3099C2semidirect
28. C83×#3098C2semidirect
29. C83×#3097C2semidirect
30. C83×#3096C2semidirect
31. C83×#2981C2semidirect
39. #556×C83C22semidirect
42. #554×C83C22semidirect
49. #552×C83C22semidirect
50. #552×C83C22semidirect
66. #536×C83C22semidirect
68. #533×C83C22semidirect
75. #520×C83C22semidirect
76. C2×C4×Q8×C83C22semidirect
77. #501×C83C22semidirect
78. #501×C83C22semidirect
79. #499×C83C22semidirect
80. #499×C83C22semidirect
89. #485×C83C22semidirect
90. #485×C83C22semidirect
91. #485×C83C22semidirect
92. #485×C83C22semidirect
93. #485×C83C22semidirect
94. #485×C83C22semidirect
95. #485×C83C22semidirect
96. #485×C83C22semidirect
98. #484×C83C22semidirect
99. #484×C83C22semidirect
100. #484×C83C22semidirect
101. #484×C83C22semidirect
103. #483×C83C22semidirect
104. #483×C83C22semidirect
105. #483×C83C22semidirect
106. #483×C83C22semidirect
121. #479×C83C22semidirect
122. #479×C83C22semidirect
123. #479×C83C22semidirect
124. #479×C83C22semidirect
125. #479×C83C22semidirect
126. #479×C83C22semidirect
129. #477×C83C22semidirect
131. #475×C83C22semidirect
135. #470×C83C22semidirect
136. #470×C83C22semidirect
143. #467×C83C22semidirect
144. #467×C83C22semidirect
157. #451×C83C22semidirect
158. #451×C83C22semidirect
159. #451×C83C22semidirect
160. #451×C83C22semidirect
165. #441×C83C22semidirect
166. #441×C83C22semidirect
169. C4×Q16×C83C22semidirect
170. C4×Q16×C83C22semidirect
174. #436×C83C22semidirect
177. #435×C83C22semidirect
178. #435×C83C22semidirect
180. C8×D4×C83C22semidirect
181. #432×C83C22semidirect
182. #431×C83C22semidirect
184. #428×C83C22semidirect
185. #428×C83C22semidirect
186. #428×C83C22semidirect
188. #427×C83C22semidirect
189. C2×#107×C83C22semidirect
190. C2×#106×C83C22semidirect
191. #419×C83C22semidirect
197. C2×#103×C83C22semidirect
201. #408×C83C22semidirect
202. #408×C83C22semidirect
831. #61801C83direct (N × H)
843. #3507C2×C83semidirect
844. #3352C2×C83semidirect
845. #3351C2×C83semidirect
846. #3350C2×C83semidirect
847. #3349C2×C83semidirect
848. #3346C2×C83semidirect
849. #3344C2×C83semidirect
850. #3337C2×C83semidirect
851. #3336C2×C83semidirect
852. #3327C2×C83semidirect
853. #3323C2×C83semidirect
854. #3316C2×C83semidirect
855. #3314C2×C83semidirect
856. #3313C2×C83semidirect
857. #3311C2×C83semidirect
858. #3300C2×C83semidirect
859. #3296C2×C83semidirect
860. #3240C2×C83semidirect
861. #3233C2×C83semidirect
862. #3202C2×C83semidirect
863. #3201C2×C83semidirect
864. #3201C2×C83semidirect
865. #3200C2×C83semidirect
866. #3117C2×C83semidirect
867. #3108C2×C83semidirect
868. #3099C2×C83semidirect
869. #3098C2×C83semidirect
870. #3097C2×C83semidirect
871. #3096C2×C83semidirect
872. #2981C2×C83semidirect
873. C83#61801direct (N × H)
881. #556C22×C83semidirect
884. #554C22×C83semidirect
891. #552C22×C83semidirect
892. #552C22×C83semidirect
908. #536C22×C83semidirect
910. #533C22×C83semidirect
917. #520C22×C83semidirect
918. C2×C4×Q8C22×C83semidirect
919. #501C22×C83semidirect
920. #501C22×C83semidirect
921. #499C22×C83semidirect
922. #499C22×C83semidirect
931. #485C22×C83semidirect
932. #485C22×C83semidirect
933. #485C22×C83semidirect
934. #485C22×C83semidirect
935. #485C22×C83semidirect
936. #485C22×C83semidirect
937. #485C22×C83semidirect
938. #485C22×C83semidirect
940. #484C22×C83semidirect
941. #484C22×C83semidirect
942. #484C22×C83semidirect
943. #484C22×C83semidirect
945. #483C22×C83semidirect
946. #483C22×C83semidirect
947. #483C22×C83semidirect
948. #483C22×C83semidirect
963. #479C22×C83semidirect
964. #479C22×C83semidirect
965. #479C22×C83semidirect
966. #479C22×C83semidirect
967. #479C22×C83semidirect
968. #479C22×C83semidirect
971. #477C22×C83semidirect
973. #475C22×C83semidirect
977. #470C22×C83semidirect
978. #470C22×C83semidirect
985. #467C22×C83semidirect
986. #467C22×C83semidirect
999. #451C22×C83semidirect
1000. #451C22×C83semidirect
1001. #451C22×C83semidirect
1002. #451C22×C83semidirect
1007. #441C22×C83semidirect
1008. #441C22×C83semidirect
1011. C4×Q16C22×C83semidirect
1012. C4×Q16C22×C83semidirect
1016. #436C22×C83semidirect
1019. #435C22×C83semidirect
1020. #435C22×C83semidirect
1022. C8×D4C22×C83semidirect
1023. #432C22×C83semidirect
1024. #431C22×C83semidirect
1026. #428C22×C83semidirect
1027. #428C22×C83semidirect
1028. #428C22×C83semidirect
1030. #427C22×C83semidirect
1031. C2×#107C22×C83semidirect
1032. C2×#106C22×C83semidirect
1033. #419C22×C83semidirect
1039. C2×#103C22×C83semidirect
1043. #408C22×C83semidirect
1044. #408C22×C83semidirect

Maximal subgroups

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

subgroupindex
C83×#35512
C83×#35072
C83×#33522
C83×#33512
C83×#33502
C83×#33492
C83×#33462
C83×#33442
C83×#33372
C83×#33362
C83×#33272
C83×#33232
C83×#33162
C83×#33142
C83×#33132
C83×#33112
C83×#33002
C83×#32962
C83×#32402
C83×#32332
C83×#32022
C83×#32012
C83×#32002
C83×#31172
C83×#31082
C83×#30992
C83×#30982
C83×#30972
C83×#30962
C83×#29812
#6180183