Finite Group Databasebeta

← C83×#61751 #35289575

Subgroups — C83×#61751 #35289575

Order 21248.

1756 conjugacy classes of subgroups.

The subgroup lattice has 1734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C83×#3542C211yesmaximal, characteristic, complemented
2C83×#3493C211yesmaximal, characteristic, complemented
3C83×#3354C211yesmaximal, characteristic, complemented
4C83×#3352C211yesmaximal, characteristic, complemented
5C83×#3350C211yesmaximal, characteristic, complemented
6C83×#3348C211yesmaximal, characteristic, complemented
7C83×#3347C211yesmaximal, characteristic, complemented
8C83×#3343C211yesmaximal, characteristic, complemented
9C83×#3340C211yesmaximal, characteristic, complemented
10C83×#3339C211yesmaximal, characteristic, complemented
11C83×#3325C211yesmaximal, characteristic, complemented
12C83×#3323C211yesmaximal, characteristic, complemented
13C83×#3319C211yesmaximal, characteristic, complemented
14C83×#3311C211yesmaximal, characteristic, complemented
15C83×#3310C211yesmaximal, characteristic, complemented
16C83×#3309C211yesmaximal, characteristic, complemented
17C83×#3304C211yesmaximal, characteristic, complemented
18C83×#3297C211yesmaximal, characteristic, complemented
19C83×#3244C211yesmaximal, characteristic, complemented
20C83×#3241C211yesmaximal, characteristic, complemented
21C83×#3204C211yesmaximal, characteristic, complemented
22C83×#3198C211yesmaximal, characteristic, complemented
23C83×#3197C211yesmaximal, characteristic, complemented
24C83×#3188C211yesmaximal, characteristic, complemented
25C83×#3124C211yesmaximal, characteristic, complemented
26C83×#3119C211yesmaximal, characteristic, complemented
27C83×#3098C211yesmaximal, characteristic, complemented
28C83×#3096C211yesmaximal, characteristic, complemented
29C83×#3094C211yesmaximal, characteristic, complemented
30C83×#3091C211yesmaximal, characteristic, complemented
31C83×#2976C211yesmaximal, characteristic, complemented
32#562×C83—21no—
33#560×C83—21no—
34#556×C83—21no—
35#556×C83C2211yescharacteristic, complemented
36#556×C83C2211yescharacteristic, complemented
37#555×C83—21no—
38#555×C83C2211yescharacteristic
39#555×C83C2211yescharacteristic
40#555×C83C2211yescharacteristic, complemented
41#553×C83—21no—
42#553×C83C2211yescharacteristic
43#553×C83C2211yescharacteristic, complemented
44#553×C83C2211yescharacteristic, complemented
45#552×C83—21no—
46#552×C83C2211yescharacteristic
47#552×C83C2211yescharacteristic
48#552×C83C2211yescharacteristic, complemented
49#551×C83—21no—
50#550×C83C2211yescharacteristic
51#547×C83C2211yescharacteristic
52#546×C83—21no—
53#546×C83C2211yescharacteristic
54#546×C83C2211yescharacteristic
55D42×C83C2211yescharacteristic
56#544×C83C2211yescharacteristic, complemented
57#542×C83C2211yescharacteristic
58#540×C83—21no—
59#540×C83C2211yescharacteristic
60#538×C83—21no—
61#538×C83—21no—
62#538×C83—21no—
63#537×C83C2211yescharacteristic
64#537×C83C2211yescharacteristic, complemented
65#535×C83—21no—
66#535×C83C2211yescharacteristic
67#534×C83—21no—
68#529×C83—21no—
69#529×C83—21no—
70#525×C83C2211yescharacteristic
71#525×C83C2211yescharacteristic
72#525×C83C2211yescharacteristic, complemented
73C2×#121×C83C2211yescharacteristic
74#520×C83C2211yescharacteristic, complemented
75#520×C83C2211yescharacteristic, complemented
76C2×#117×C83C2211yescharacteristic, complemented
77#501×C83C2211yescharacteristic, complemented
78#501×C83C2211yescharacteristic, complemented
79#499×C83C2211yescharacteristic, complemented
80#498×C83C2211yescharacteristic, complemented
81#490×C83C2211yescharacteristic, complemented
82#489×C83C2211yescharacteristic, complemented
83#488×C83C2211yescharacteristic, complemented
84#486×C83C2211yescharacteristic, complemented
85#485×C83C2211yescharacteristic, complemented
86#485×C83C2211yescharacteristic, complemented
87#485×C83C2211yescharacteristic, complemented
88#485×C83C2211yescharacteristic, complemented
89#485×C83C2211yescharacteristic, complemented
90#485×C83C2211yescharacteristic, complemented
91#484×C83C2211yescharacteristic, complemented
92#484×C83C2211yescharacteristic, complemented
93#484×C83C2211yescharacteristic, complemented
94#483×C83C2211yescharacteristic, complemented
95#483×C83C2211yescharacteristic, complemented
96#482×C83C2211yescharacteristic
97#482×C83C2211yescharacteristic
98#482×C83C2211yescharacteristic
99#482×C83C2211yescharacteristic
100#482×C83C2211yescharacteristic
101#482×C83C2211yescharacteristic, complemented
102#482×C83C2211yescharacteristic, complemented
103#482×C83C2211yescharacteristic, complemented
104#482×C83C2211yescharacteristic, complemented
105#482×C83C2211yescharacteristic, complemented
106#482×C83C2211yescharacteristic, complemented
107#482×C83C2211yescharacteristic, complemented
108#482×C83C2211yescharacteristic, complemented
109#482×C83C2211yescharacteristic, complemented
110#481×C83C2211yescharacteristic
111#481×C83C2211yescharacteristic, complemented
112#481×C83C2211yescharacteristic, complemented
113#481×C83C2211yescharacteristic, complemented
114#481×C83C2211yescharacteristic, complemented
115#481×C83C2211yescharacteristic, complemented
116#480×C83C2211yescharacteristic
117#480×C83C2211yescharacteristic, complemented
118#480×C83C2211yescharacteristic, complemented
119#480×C83C2211yescharacteristic, complemented
120#480×C83C2211yescharacteristic, complemented
121#479×C83C2211yescharacteristic, complemented
122#479×C83C2211yescharacteristic, complemented
123#478×C83C2211yescharacteristic, complemented
124#478×C83C2211yescharacteristic, complemented
125#478×C83C2211yescharacteristic, complemented
126#478×C83C2211yescharacteristic, complemented
127#477×C83C2211yescharacteristic, complemented
128#476×C83C2211yescharacteristic, complemented
129#476×C83C2211yescharacteristic, complemented
130#475×C83C2211yescharacteristic, complemented
131#474×C83C2211yescharacteristic, complemented
132#474×C83C2211yescharacteristic, complemented
133#470×C83C2211yescharacteristic, complemented
134#470×C83C2211yescharacteristic, complemented
135#469×C83C2211yescharacteristic
136#469×C83C2211yescharacteristic, complemented
137#469×C83C2211yescharacteristic, complemented
138#468×C83C2211yescharacteristic
139#468×C83C2211yescharacteristic, complemented
140#468×C83C2211yescharacteristic, complemented
141#466×C83C2211yescharacteristic
142#466×C83C2211yescharacteristic, complemented
143#466×C83C2211yescharacteristic, complemented
144#465×C83C2211yescharacteristic
145#465×C83C2211yescharacteristic, complemented
146#465×C83C2211yescharacteristic, complemented
147#465×C83C2211yescharacteristic, complemented
148#465×C83C2211yescharacteristic, complemented
149#464×C83C2211yescharacteristic, complemented
150#463×C83C2211yescharacteristic, complemented
151#460×C83C2211yescharacteristic, complemented
152#459×C83C2211yescharacteristic, complemented
153#452×C83C2211yescharacteristic, complemented
154#452×C83C2211yescharacteristic, complemented
155#452×C83C2211yescharacteristic, complemented
156#450×C83C2211yescharacteristic
157#450×C83C2211yescharacteristic, complemented
158#449×C83C2211yescharacteristic
159#449×C83C2211yescharacteristic, complemented
160#449×C83C2211yescharacteristic, complemented
161#449×C83C2211yescharacteristic, complemented
162#449×C83C2211yescharacteristic, complemented
163#447×C83C2211yescharacteristic
164#447×C83C2211yescharacteristic, complemented
165#442×C83C2211yescharacteristic, complemented
166#440×C83C2211yescharacteristic, complemented
167#440×C83C2211yescharacteristic, complemented
168#440×C83C2211yescharacteristic, complemented
169C4×Q16×C83C2211yescharacteristic, complemented
170C4×SD16×C83C2211yescharacteristic, complemented
171C4×D8×C83C2211yescharacteristic, complemented
172C4×D8×C83C2211yescharacteristic, complemented
173#436×C83C2211yescharacteristic
174#436×C83C2211yescharacteristic, complemented
175#435×C83C2211yescharacteristic
176#435×C83C2211yescharacteristic, complemented
177#435×C83C2211yescharacteristic, complemented
178#435×C83C2211yescharacteristic, complemented
179C8×D4×C83C2211yescharacteristic, complemented
180C8×D4×C83C2211yescharacteristic, complemented
181#433×C83C2211yescharacteristic, complemented
182#433×C83C2211yescharacteristic, complemented
183#428×C83C2211yescharacteristic, complemented
184#428×C83C2211yescharacteristic, complemented
185#428×C83C2211yescharacteristic, complemented
186#428×C83C2211yescharacteristic, complemented
187#427×C83C2211yescharacteristic, complemented
188#427×C83C2211yescharacteristic, complemented
189#427×C83C2211yescharacteristic, complemented
190C2×#107×C83C2211yescharacteristic, complemented
191#418×C83C2211yescharacteristic
192#418×C83C2211yescharacteristic
193#418×C83C2211yescharacteristic, complemented
194#417×C83C2211yescharacteristic, complemented
195#416×C83C2211yescharacteristic, complemented
196#416×C83C2211yescharacteristic, complemented
197#416×C83C2211yescharacteristic, complemented
198C2×#102×C83C2211yescharacteristic, complemented
199#408×C83C2211yescharacteristic, complemented
200#408×C83C2211yescharacteristic, complemented
201#407×C83C2211yescharacteristic, complemented
202C2×C22⋊C8×C83C2211yescharacteristic, complemented
203C2×#41×C83—21no—
204C2×#41×C83C2311yescharacteristic
205C2×#41×C83C2311yescharacteristic
206C2×#41×C83C2311yescharacteristic
207C2×#41×C83C2311yescharacteristic
208C22×D4×C83—21no—
209C22×D4×C83—21no—
210C22×D4×C83C2311yescharacteristic
211C22×D4×C83C2311yescharacteristic
212C23×C4×C83C2311yescharacteristic
213C2×Q16×C83C2311yescharacteristic
214C2×SD16×C83C2311yescharacteristic
215C2×SD16×C83C2311yescharacteristic
216C2×SD16×C83C2311yescharacteristic
217C2×SD16×C83C2311yescharacteristic
218C2×D8×C83C2311yescharacteristic
219C2×D8×C83C2311yescharacteristic
220C2×D8×C83C2311yescharacteristic
221C2×M16×C83C2311yescharacteristic
222C2×M16×C83C2311yescharacteristic
223C2×M16×C83C2311yescharacteristic
224C2×M16×C83C2311yescharacteristic
225C22×C8×C83C2311yescharacteristic
226C22×C8×C83C2311yescharacteristic
227C22×C8×C83C2311yescharacteristic
228C22×C8×C83C2311yescharacteristic
229C4⋊Q8×C83—21no—
230C4⋊Q8×C83C2311yescharacteristic
231C4⋊Q8×C83C2311yescharacteristic
232C4⋊Q8×C83C2311yescharacteristic
233#127×C83—21no—
234#127×C83—21no—
235#127×C83C2311yescharacteristic
236#126×C83—21no—
237#126×C83—21no—
238#126×C83—21no—
239#126×C83—21no—
240#126×C83—21no—
241#126×C83—21no—
242#126×C83—21no—
243#126×C83—21no—
244#126×C83—21no—
245#126×C83—21no—
246#126×C83—21no—
247#125×C83—21no—
248#125×C83—21no—
249#125×C83—21no—
250#125×C83—21no—
251#125×C83C2311yescharacteristic
252#125×C83C2311yescharacteristic
253#125×C83C2311yescharacteristic
254#124×C83—21no—
255#124×C83—21no—
256#124×C83—21no—
257#124×C83—21no—
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#124×C83C2311yescharacteristic
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×C83D411yescharacteristic
281#123×C83D411yescharacteristic
282C22⋊Q8×C83—21no—
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
297#121×C83—21no—
298#121×C83—21no—
299#121×C83—21no—
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×C83D411yescharacteristic
319#121×C83D411yescharacteristic
320#121×C83C2311yescharacteristic
321#121×C83C2311yescharacteristic
322#121×C83C2311yescharacteristic
323#121×C83C2311yescharacteristic
324#121×C83C2311yescharacteristic
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#120×C83—21no—
334#120×C83—21no—
335#120×C83—21no—
336#120×C83—21no—
337#120×C83—21no—
338#120×C83—21no—
339#120×C83—21no—
340#120×C83—21no—
341#120×C83D411yescharacteristic
342#120×C83D411yescharacteristic
343C4×Q8×C83—21no—
344C4×Q8×C83—21no—
345C4×Q8×C83—21no—
346C4×Q8×C83C2311yescharacteristic
347C4×Q8×C83C2311yescharacteristic
348C4×Q8×C83C2311yescharacteristic
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×C83C2311yescharacteristic
363C4×D4×C83C2311yescharacteristic
364C4×D4×C83C2311yescharacteristic
365C4×D4×C83C2311yescharacteristic
366C4×D4×C83C2311yescharacteristic
367C4×D4×C83C2311yescharacteristic
368C4×D4×C83C2311yescharacteristic
369C4×D4×C83C2311yescharacteristic
370C4×D4×C83C2311yescharacteristic
371#117×C83—21no—
372#117×C83—21no—
373#117×C83—21no—
374#117×C83—21no—
375#117×C83—21no—
376#117×C83—21no—
377#117×C83—21no—
378#117×C83—21no—
379#117×C83—21no—
380#117×C83C2311yescharacteristic
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
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×C22⋊C4×C83—21no—
398C2×C22⋊C4×C83—21no—
399C2×C22⋊C4×C83—21no—
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#102×C83C2311yescharacteristic
441#102×C83C2311yescharacteristic
442#102×C83C2311yescharacteristic
443#102×C83C2311yescharacteristic
444#102×C83C2311yescharacteristic
445#102×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×C83—21no—
479C24×C83—21no—
480C24×C83C2×D411yescharacteristic
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—82no—
490C2×Q8×C83—21no—
491C2×Q8×C83—21no—
492C2×Q8×C83—21no—
493C2×Q8×C83C2×D411yescharacteristic
494C2×Q8×C83C2411yescharacteristic
495C2×Q8×C83C2411yescharacteristic
496C2×D4×C83—21no—
497C2×D4×C83—21no—
498C2×D4×C83—21no—
499C2×D4×C83—21no—
500C2×D4×C83—21no—
501C2×D4×C83—21no—
502C2×D4×C83—21no—
503C2×D4×C83—21no—
504C2×D4×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×C83—21no—
515C2×D4×C83—21no—
516C2×D4×C83—41no—
517C2×D4×C83—41no—
518C2×D4×C83—41no—
519C2×D4×C83—41no—
520C2×D4×C83—82no—
521C2×D4×C83—82no—
522C2×D4×C83C2×D411yescharacteristic
523C2×D4×C83C2×D411yescharacteristic
524C2×D4×C83C2×D411yescharacteristic
525C2×D4×C83C2×D411yescharacteristic
526C2×D4×C83C2×D411yescharacteristic
527C2×D4×C83C2×D411yescharacteristic
528C2×D4×C83C2×D411yescharacteristic
529C2×D4×C83C2411yescharacteristic
530C2×D4×C83C2411yescharacteristic
531C2×D4×C83C2411yescharacteristic
532C2×D4×C83C2411yescharacteristic
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—21no—
540C22×C4×C83—21no—
541C22×C4×C83—21no—
542C22×C4×C83—21no—
543C22×C4×C83—21no—
544C22×C4×C83—21no—
545C22×C4×C83—21no—
546C22×C4×C83—21no—
547C22×C4×C83—41no—
548C22×C4×C83—41no—
549C22×C4×C83C2×D411yescharacteristic
550C22×C4×C83C2×D411yescharacteristic
551C22×C4×C83C2×D411yescharacteristic
552C22×C4×C83C2411yescharacteristic
553C22×C4×C83C2411yescharacteristic
554C22×C4×C83C2411yescharacteristic
555C22×C4×C83C2411yescharacteristic
556C22×C4×C83C2411yescharacteristic
557Q16×C83—41no—
558SD16×C83—41no—
559SD16×C83—41no—
560SD16×C83—41no—
561SD16×C83—41no—
562D8×C83—41no—
563D8×C83—41no—
564D8×C83—41no—
565M16×C83—41no—
566M16×C83—41no—
567M16×C83—41no—
568M16×C83—41no—
569C2×C8×C83—41no—
570C2×C8×C83—41no—
571C2×C8×C83—41no—
572C2×C8×C83—41no—
573C2×C8×C83C2411yescharacteristic
574C2×C8×C83C2411yescharacteristic
575C2×C8×C83C2411yescharacteristic
576C2×C8×C83C2411yescharacteristic
577C2×C8×C83C2411yescharacteristic
578C2×C8×C83C2411yescharacteristic
579C2×C8×C83C2411yescharacteristic
580C2×C8×C83C2411yescharacteristic
581C4⋊C4×C83—21no—
582C4⋊C4×C83—21no—
583C4⋊C4×C83—21no—
584C4⋊C4×C83—21no—
585C4⋊C4×C83—21no—
586C4⋊C4×C83—21no—
587C4⋊C4×C83—21no—
588C4⋊C4×C83—21no—
589C4⋊C4×C83—21no—
590C4⋊C4×C83—21no—
591C4⋊C4×C83—21no—
592C4⋊C4×C83—21no—
593C4⋊C4×C83—21no—
594C4⋊C4×C83—21no—
595C4⋊C4×C83—21no—
596C4⋊C4×C83—21no—
597C4⋊C4×C83—21no—
598C4⋊C4×C83—21no—
599C4⋊C4×C83—21no—
600C4⋊C4×C83—21no—
601C4⋊C4×C83—21no—
602C4⋊C4×C83—21no—
603C4⋊C4×C83—21no—
604C4⋊C4×C83—21no—
605C4⋊C4×C83—21no—
606C4⋊C4×C83C2×D411yescharacteristic
607C4⋊C4×C83C2×D411yescharacteristic
608C4⋊C4×C83C2×D411yescharacteristic
609C4⋊C4×C83C2×D411yescharacteristic
610C4⋊C4×C83C2×D411yescharacteristic
611C4⋊C4×C83C2×D411yescharacteristic
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
621C4⋊C4×C83C2411yescharacteristic
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×C83—21no—
655C22⋊C4×C83—21no—
656C22⋊C4×C83—21no—
657C22⋊C4×C83—21no—
658C22⋊C4×C83C2×D411yescharacteristic
659C22⋊C4×C83C2×D411yescharacteristic
660C22⋊C4×C83C2×D411yescharacteristic
661C22⋊C4×C83C2×D411yescharacteristic
662C22⋊C4×C83C2×D411yescharacteristic
663C22⋊C4×C83C2×D411yescharacteristic
664C22⋊C4×C83C2×D411yescharacteristic
665C22⋊C4×C83C2×D411yescharacteristic
666C22⋊C4×C83C2×D411yescharacteristic
667C22⋊C4×C83C2×D411yescharacteristic
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×C83—21no—
678C42×C83—21no—
679C42×C83—21no—
680C42×C83C2411yescharacteristic
681C42×C83C2411yescharacteristic
682C23×C83—21no—
683C23×C83—21no—
684C23×C83—21no—
685C23×C83—21no—
686C23×C83—41no—
687C23×C83—41no—
688C23×C83—41no—
689C23×C83—42no—
690C23×C83—81no—
691C23×C83—81no—
692C23×C83—81no—
693C23×C83—81no—
694C23×C83—81no—
695C23×C83C22×D411yescharacteristic
696C23×C83C22×D411yescharacteristic
697C23×C83C22×D411yescharacteristic
698C23×C83C22×D411yescharacteristic
699C23×C83C22×D411yescharacteristic
700Q8×C83—21no—
701Q8×C83—21no—
702Q8×C83—21no—
703Q8×C83—21no—
704Q8×C83—41no—
705Q8×C83—81no—
706Q8×C83—81no—
707Q8×C83—81no—
708D4×C83—21no—
709D4×C83—21no—
710D4×C83—21no—
711D4×C83—21no—
712D4×C83—21no—
713D4×C83—21no—
714D4×C83—21no—
715D4×C83—21no—
716D4×C83—41no—
717D4×C83—41no—
718D4×C83—41no—
719D4×C83—41no—
720D4×C83—41no—
721D4×C83—41no—
722D4×C83—41no—
723D4×C83—42no—
724D4×C83—42no—
725D4×C83—81no—
726D4×C83—81no—
727D4×C83—81no—
728D4×C83—81no—
729D4×C83—81no—
730D4×C83—81no—
731D4×C83—81no—
732D4×C83—81no—
733D4×C83—81no—
734D4×C83—81no—
735D4×C83—81no—
736D4×C83—81no—
737D4×C83—81no—
738D4×C83—81no—
739D4×C83—81no—
740D4×C83—81no—
741D4×C83—81no—
742D4×C83—81no—
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—21no—
753C2×C4×C83—21no—
754C2×C4×C83—21no—
755C2×C4×C83—21no—
756C2×C4×C83—21no—
757C2×C4×C83—21no—
758C2×C4×C83—21no—
759C2×C4×C83—21no—
760C2×C4×C83—21no—
761C2×C4×C83—21no—
762C2×C4×C83—21no—
763C2×C4×C83—21no—
764C2×C4×C83—21no—
765C2×C4×C83—41no—
766C2×C4×C83—41no—
767C2×C4×C83—41no—
768C2×C4×C83—42no—
769C2×C4×C83—42no—
770C2×C4×C83—81no—
771C2×C4×C83—81no—
772C2×C4×C83—81no—
773C2×C4×C83—81no—
774C2×C4×C83—81no—
775C2×C4×C83—81no—
776C2×C4×C83—81no—
777C2×C4×C83—81no—
778C2×C4×C83—81no—
779C2×C4×C83—81no—
780C2×C4×C83—81no—
781C2×C4×C83—81no—
782C2×C4×C83C22×D411yescharacteristic
783C2×C4×C83C22×D411yescharacteristic
784C2×C4×C83C22×D411yescharacteristic
785C2×C4×C83C22×D411yescharacteristic
786C2×C4×C83C22×D411yescharacteristic
787C2×C4×C83C22×D411yescharacteristic
788C2×C4×C83C22×D411yescharacteristic
789C2×C4×C83C22×D411yescharacteristic
790C2×C4×C83C22×D411yescharacteristic
791C2×C4×C83C2511yescharacteristic
792C8×C83—21no—
793C8×C83—21no—
794C8×C83—21no—
795C8×C83—21no—
796C8×C83—21no—
797C8×C83—21no—
798C8×C83—21no—
799C8×C83—21no—
800C22×C83—21no—
801C22×C83—21no—
802C22×C83—21no—
803C22×C83—21no—
804C22×C83—21no—
805C22×C83—21no—
806C22×C83—21no—
807C22×C83—21no—
808C22×C83—21no—
809C22×C83—21no—
810C22×C83—21no—
811C22×C83—21no—
812C22×C83—21no—
813C22×C83—21no—
814C22×C83—21no—
815C22×C83—41no—
816C22×C83—41no—
817C22×C83—41no—
818C22×C83—41no—
819C22×C83—41no—
820C22×C83—41no—
821C22×C83—41no—
822C22×C83—41no—
823C22×C83—41no—
824C22×C83—41no—
825C22×C83—41no—
826C22×C83—41no—
827C22×C83—82no—
828C22×C83—162no—
829C22×C83—162no—
830C22×C83C23×D411yescharacteristic
831C4×C83—21no—
832C4×C83—21no—
833C4×C83—21no—
834C4×C83—21no—
835C4×C83—21no—
836C4×C83—21no—
837C4×C83—21no—
838C4×C83—21no—
839C4×C83—21no—
840C4×C83—41no—
841C4×C83—41no—
842C4×C83—41no—
843C4×C83—41no—
844C4×C83—41no—
845C4×C83—41no—
846C4×C83—41no—
847C4×C83—41no—
848C4×C83—41no—
849C4×C83—41no—
850C4×C83—41no—
851C4×C83—41no—
852C4×C83#58511yescharacteristic
853C4×C83#58511yescharacteristic
854#61751C8311yesmaximal, characteristic, direct product factor, Sylow
855C2×C83—41no—
856C2×C83—41no—
857C2×C83—41no—
858C2×C83—41no—
859C2×C83—41no—
860C2×C83—81no—
861C2×C83—81no—
862C2×C83—81no—
863C2×C83—81no—
864C2×C83#348511yescharacteristic
865C2×C83#358411yescharacteristic
866C2×C83#358511yescharacteristic
867#3542C2×C8311yescharacteristic, complemented
868#3493C2×C8311yescharacteristic, complemented
869#3354C2×C8311yescharacteristic, complemented
870#3352C2×C8311yescharacteristic, complemented
871#3350C2×C8311yescharacteristic, complemented
872#3348C2×C8311yescharacteristic, complemented
873#3347C2×C8311yescharacteristic, complemented
874#3343C2×C8311yescharacteristic, complemented
875#3340C2×C8311yescharacteristic, complemented
876#3339C2×C8311yescharacteristic, complemented
877#3325C2×C8311yescharacteristic, complemented
878#3323C2×C8311yescharacteristic, complemented
879#3319C2×C8311yescharacteristic, complemented
880#3311C2×C8311yescharacteristic, complemented
881#3310C2×C8311yescharacteristic, complemented
882#3309C2×C8311yescharacteristic, complemented
883#3304C2×C8311yescharacteristic, complemented
884#3297C2×C8311yescharacteristic, complemented
885#3244C2×C8311yescharacteristic, complemented
886#3241C2×C8311yescharacteristic, complemented
887#3204C2×C8311yescharacteristic, complemented
888#3198C2×C8311yescharacteristic, complemented
889#3197C2×C8311yescharacteristic, complemented
890#3188C2×C8311yescharacteristic, complemented
891#3124C2×C8311yescharacteristic, complemented
892#3119C2×C8311yescharacteristic, complemented
893#3098C2×C8311yescharacteristic, complemented
894#3096C2×C8311yescharacteristic, complemented
895#3094C2×C8311yescharacteristic, complemented
896#3091C2×C8311yescharacteristic, complemented
897#2976C2×C8311yescharacteristic, complemented
898C83#6175111yescharacteristic, direct product factor, Sylow
899#562—21no—
900#560—21no—
901#556—21no—
902#556C22×C8311yescharacteristic, complemented
903#556C22×C8311yescharacteristic, complemented
904#555—21no—
905#555C22×C8311yescharacteristic
906#555C22×C8311yescharacteristic
907#555C22×C8311yescharacteristic, complemented
908#553—21no—
909#553C22×C8311yescharacteristic
910#553C22×C8311yescharacteristic, complemented
911#553C22×C8311yescharacteristic, complemented
912#552—21no—
913#552C22×C8311yescharacteristic
914#552C22×C8311yescharacteristic
915#552C22×C8311yescharacteristic, complemented
916#551—21no—
917#550C22×C8311yescharacteristic
918#547C22×C8311yescharacteristic
919#546—21no—
920#546C22×C8311yescharacteristic
921#546C22×C8311yescharacteristic
922D42C22×C8311yescharacteristic
923#544C22×C8311yescharacteristic, complemented
924#542C22×C8311yescharacteristic
925#540—21no—
926#540C22×C8311yescharacteristic
927#538—21no—
928#538—21no—
929#538—21no—
930#537C22×C8311yescharacteristic
931#537C22×C8311yescharacteristic, complemented
932#535—21no—
933#535C22×C8311yescharacteristic
934#534—21no—
935#529—21no—
936#529—21no—
937#525C22×C8311yescharacteristic
938#525C22×C8311yescharacteristic
939#525C22×C8311yescharacteristic, complemented
940C2×#121C22×C8311yescharacteristic
941#520C22×C8311yescharacteristic, complemented
942#520C22×C8311yescharacteristic, complemented
943C2×#117C22×C8311yescharacteristic, complemented
944#501C22×C8311yescharacteristic, complemented
945#501C22×C8311yescharacteristic, complemented
946#499C22×C8311yescharacteristic, complemented
947#498C22×C8311yescharacteristic, complemented
948#490C22×C8311yescharacteristic, complemented
949#489C22×C8311yescharacteristic, complemented
950#488C22×C8311yescharacteristic, complemented
951#486C22×C8311yescharacteristic, complemented
952#485C22×C8311yescharacteristic, complemented
953#485C22×C8311yescharacteristic, complemented
954#485C22×C8311yescharacteristic, complemented
955#485C22×C8311yescharacteristic, complemented
956#485C22×C8311yescharacteristic, complemented
957#485C22×C8311yescharacteristic, complemented
958#484C22×C8311yescharacteristic, complemented
959#484C22×C8311yescharacteristic, complemented
960#484C22×C8311yescharacteristic, complemented
961#483C22×C8311yescharacteristic, complemented
962#483C22×C8311yescharacteristic, complemented
963#482C22×C8311yescharacteristic
964#482C22×C8311yescharacteristic
965#482C22×C8311yescharacteristic
966#482C22×C8311yescharacteristic
967#482C22×C8311yescharacteristic
968#482C22×C8311yescharacteristic, complemented
969#482C22×C8311yescharacteristic, complemented
970#482C22×C8311yescharacteristic, complemented
971#482C22×C8311yescharacteristic, complemented
972#482C22×C8311yescharacteristic, complemented
973#482C22×C8311yescharacteristic, complemented
974#482C22×C8311yescharacteristic, complemented
975#482C22×C8311yescharacteristic, complemented
976#482C22×C8311yescharacteristic, complemented
977#481C22×C8311yescharacteristic
978#481C22×C8311yescharacteristic, complemented
979#481C22×C8311yescharacteristic, complemented
980#481C22×C8311yescharacteristic, complemented
981#481C22×C8311yescharacteristic, complemented
982#481C22×C8311yescharacteristic, complemented
983#480C22×C8311yescharacteristic
984#480C22×C8311yescharacteristic, complemented
985#480C22×C8311yescharacteristic, complemented
986#480C22×C8311yescharacteristic, complemented
987#480C22×C8311yescharacteristic, complemented
988#479C22×C8311yescharacteristic, complemented
989#479C22×C8311yescharacteristic, complemented
990#478C22×C8311yescharacteristic, complemented
991#478C22×C8311yescharacteristic, complemented
992#478C22×C8311yescharacteristic, complemented
993#478C22×C8311yescharacteristic, complemented
994#477C22×C8311yescharacteristic, complemented
995#476C22×C8311yescharacteristic, complemented
996#476C22×C8311yescharacteristic, complemented
997#475C22×C8311yescharacteristic, complemented
998#474C22×C8311yescharacteristic, complemented
999#474C22×C8311yescharacteristic, complemented
1000#470C22×C8311yescharacteristic, complemented
1001#470C22×C8311yescharacteristic, complemented
1002#469C22×C8311yescharacteristic
1003#469C22×C8311yescharacteristic, complemented
1004#469C22×C8311yescharacteristic, complemented
1005#468C22×C8311yescharacteristic
1006#468C22×C8311yescharacteristic, complemented
1007#468C22×C8311yescharacteristic, complemented
1008#466C22×C8311yescharacteristic
1009#466C22×C8311yescharacteristic, complemented
1010#466C22×C8311yescharacteristic, complemented
1011#465C22×C8311yescharacteristic
1012#465C22×C8311yescharacteristic, complemented
1013#465C22×C8311yescharacteristic, complemented
1014#465C22×C8311yescharacteristic, complemented
1015#465C22×C8311yescharacteristic, complemented
1016#464C22×C8311yescharacteristic, complemented
1017#463C22×C8311yescharacteristic, complemented
1018#460C22×C8311yescharacteristic, complemented
1019#459C22×C8311yescharacteristic, complemented
1020#452C22×C8311yescharacteristic, complemented
1021#452C22×C8311yescharacteristic, complemented
1022#452C22×C8311yescharacteristic, complemented
1023#450C22×C8311yescharacteristic
1024#450C22×C8311yescharacteristic, complemented
1025#449C22×C8311yescharacteristic
1026#449C22×C8311yescharacteristic, complemented
1027#449C22×C8311yescharacteristic, complemented
1028#449C22×C8311yescharacteristic, complemented
1029#449C22×C8311yescharacteristic, complemented
1030#447C22×C8311yescharacteristic
1031#447C22×C8311yescharacteristic, complemented
1032#442C22×C8311yescharacteristic, complemented
1033#440C22×C8311yescharacteristic, complemented
1034#440C22×C8311yescharacteristic, complemented
1035#440C22×C8311yescharacteristic, complemented
1036C4×Q16C22×C8311yescharacteristic, complemented
1037C4×SD16C22×C8311yescharacteristic, complemented
1038C4×D8C22×C8311yescharacteristic, complemented
1039C4×D8C22×C8311yescharacteristic, complemented
1040#436C22×C8311yescharacteristic
1041#436C22×C8311yescharacteristic, complemented
1042#435C22×C8311yescharacteristic
1043#435C22×C8311yescharacteristic, complemented
1044#435C22×C8311yescharacteristic, complemented
1045#435C22×C8311yescharacteristic, complemented
1046C8×D4C22×C8311yescharacteristic, complemented
1047C8×D4C22×C8311yescharacteristic, complemented
1048#433C22×C8311yescharacteristic, complemented
1049#433C22×C8311yescharacteristic, complemented
1050#428C22×C8311yescharacteristic, complemented
1051#428C22×C8311yescharacteristic, complemented
1052#428C22×C8311yescharacteristic, complemented
1053#428C22×C8311yescharacteristic, complemented
1054#427C22×C8311yescharacteristic, complemented
1055#427C22×C8311yescharacteristic, complemented
1056#427C22×C8311yescharacteristic, complemented
1057C2×#107C22×C8311yescharacteristic, complemented
1058#418C22×C8311yescharacteristic
1059#418C22×C8311yescharacteristic
1060#418C22×C8311yescharacteristic, complemented
1061#417C22×C8311yescharacteristic, complemented
1062#416C22×C8311yescharacteristic, complemented
1063#416C22×C8311yescharacteristic, complemented
1064#416C22×C8311yescharacteristic, complemented
1065C2×#102C22×C8311yescharacteristic, complemented
1066#408C22×C8311yescharacteristic, complemented
1067#408C22×C8311yescharacteristic, complemented
1068#407C22×C8311yescharacteristic, complemented
1069C2×C22⋊C8C22×C8311yescharacteristic, complemented
1070C2×#41—21no—
1071C2×#41C23×C8311yescharacteristic
1072C2×#41C23×C8311yescharacteristic
1073C2×#41C23×C8311yescharacteristic
1074C2×#41C23×C8311yescharacteristic
1075C22×D4—21no—
1076C22×D4—21no—
1077C22×D4C23×C8311yescharacteristic
1078C22×D4C23×C8311yescharacteristic
1079C23×C4C23×C8311yescharacteristic
1080C2×Q16C23×C8311yescharacteristic
1081C2×SD16C23×C8311yescharacteristic
1082C2×SD16C23×C8311yescharacteristic
1083C2×SD16C23×C8311yescharacteristic
1084C2×SD16C23×C8311yescharacteristic
1085C2×D8C23×C8311yescharacteristic
1086C2×D8C23×C8311yescharacteristic
1087C2×D8C23×C8311yescharacteristic
1088C2×M16C23×C8311yescharacteristic
1089C2×M16C23×C8311yescharacteristic
1090C2×M16C23×C8311yescharacteristic
1091C2×M16C23×C8311yescharacteristic
1092C22×C8C23×C8311yescharacteristic
1093C22×C8C23×C8311yescharacteristic
1094C22×C8C23×C8311yescharacteristic
1095C22×C8C23×C8311yescharacteristic
1096C4⋊Q8—21no—
1097C4⋊Q8C23×C8311yescharacteristic
1098C4⋊Q8C23×C8311yescharacteristic
1099C4⋊Q8C23×C8311yescharacteristic
1100#127—21no—
1101#127—21no—
1102#127C23×C8311yescharacteristic
1103#126—21no—
1104#126—21no—
1105#126—21no—
1106#126—21no—
1107#126—21no—
1108#126—21no—
1109#126—21no—
1110#126—21no—
1111#126—21no—
1112#126—21no—
1113#126—21no—
1114#125—21no—
1115#125—21no—
1116#125—21no—
1117#125—21no—
1118#125C23×C8311yescharacteristic
1119#125C23×C8311yescharacteristic
1120#125C23×C8311yescharacteristic
1121#124—21no—
1122#124—21no—
1123#124—21no—
1124#124—21no—
1125#124—21no—
1126#124—21no—
1127#124—21no—
1128#124—21no—
1129#124—21no—
1130#124—21no—
1131#124C23×C8311yescharacteristic
1132#123—21no—
1133#123—21no—
1134#123—21no—
1135#123—21no—
1136#123—21no—
1137#123—21no—
1138#123—21no—
1139#123—21no—
1140#123—21no—
1141#123—21no—
1142#123—21no—
1143#123—21no—
1144#123—21no—
1145#123—21no—
1146#123—21no—
1147#123D4×C8311yescharacteristic
1148#123D4×C8311yescharacteristic
1149C22⋊Q8—21no—
1150C22⋊Q8—21no—
1151C22⋊Q8—21no—
1152C22⋊Q8—21no—
1153C22⋊Q8—21no—
1154C22⋊Q8—21no—
1155C22⋊Q8D4×C8311yescharacteristic
1156C22⋊Q8D4×C8311yescharacteristic
1157C22⋊Q8C23×C8311yescharacteristic
1158C22⋊Q8C23×C8311yescharacteristic
1159C22⋊Q8C23×C8311yescharacteristic
1160C22⋊Q8C23×C8311yescharacteristic
1161C22⋊Q8C23×C8311yescharacteristic
1162C22⋊Q8C23×C8311yescharacteristic
1163C22⋊Q8C23×C8311yescharacteristic
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#121—21no—
1174#121—21no—
1175#121—21no—
1176#121—21no—
1177#121—21no—
1178#121—21no—
1179#121—21no—
1180#121—21no—
1181#121—21no—
1182#121—21no—
1183#121—21no—
1184#121—21no—
1185#121D4×C8311yescharacteristic
1186#121D4×C8311yescharacteristic
1187#121C23×C8311yescharacteristic
1188#121C23×C8311yescharacteristic
1189#121C23×C8311yescharacteristic
1190#121C23×C8311yescharacteristic
1191#121C23×C8311yescharacteristic
1192#121C23×C8311yescharacteristic
1193#121C23×C8311yescharacteristic
1194#121C23×C8311yescharacteristic
1195#121C23×C8311yescharacteristic
1196#121C23×C8311yescharacteristic
1197#121C23×C8311yescharacteristic
1198#121C23×C8311yescharacteristic
1199#121C23×C8311yescharacteristic
1200#120—21no—
1201#120—21no—
1202#120—21no—
1203#120—21no—
1204#120—21no—
1205#120—21no—
1206#120—21no—
1207#120—21no—
1208#120D4×C8311yescharacteristic
1209#120D4×C8311yescharacteristic
1210C4×Q8—21no—
1211C4×Q8—21no—
1212C4×Q8—21no—
1213C4×Q8C23×C8311yescharacteristic
1214C4×Q8C23×C8311yescharacteristic
1215C4×Q8C23×C8311yescharacteristic
1216C4×D4—21no—
1217C4×D4—21no—
1218C4×D4—21no—
1219C4×D4—21no—
1220C4×D4—21no—
1221C4×D4—21no—
1222C4×D4—21no—
1223C4×D4—21no—
1224C4×D4—21no—
1225C4×D4—21no—
1226C4×D4—21no—
1227C4×D4—21no—
1228C4×D4—21no—
1229C4×D4C23×C8311yescharacteristic
1230C4×D4C23×C8311yescharacteristic
1231C4×D4C23×C8311yescharacteristic
1232C4×D4C23×C8311yescharacteristic
1233C4×D4C23×C8311yescharacteristic
1234C4×D4C23×C8311yescharacteristic
1235C4×D4C23×C8311yescharacteristic
1236C4×D4C23×C8311yescharacteristic
1237C4×D4C23×C8311yescharacteristic
1238#117—21no—
1239#117—21no—
1240#117—21no—
1241#117—21no—
1242#117—21no—
1243#117—21no—
1244#117—21no—
1245#117—21no—
1246#117—21no—
1247#117C23×C8311yescharacteristic
1248#117C23×C8311yescharacteristic
1249#117C23×C8311yescharacteristic
1250#117C23×C8311yescharacteristic
1251#117C23×C8311yescharacteristic
1252#117C23×C8311yescharacteristic
1253#117C23×C8311yescharacteristic
1254#117C23×C8311yescharacteristic
1255#117C23×C8311yescharacteristic
1256#117C23×C8311yescharacteristic
1257C2×C4⋊C4—21no—
1258C2×C4⋊C4C23×C8311yescharacteristic
1259C2×C4⋊C4C23×C8311yescharacteristic
1260C2×C4⋊C4C23×C8311yescharacteristic
1261C2×C4⋊C4C23×C8311yescharacteristic
1262C2×C4⋊C4C23×C8311yescharacteristic
1263C2×C4⋊C4C23×C8311yescharacteristic
1264C2×C22⋊C4—21no—
1265C2×C22⋊C4—21no—
1266C2×C22⋊C4—21no—
1267C2×C22⋊C4—21no—
1268C2×C42—21no—
1269#107C23×C8311yescharacteristic
1270#107C23×C8311yescharacteristic
1271#107C23×C8311yescharacteristic
1272#107C23×C8311yescharacteristic
1273#107C23×C8311yescharacteristic
1274#107C23×C8311yescharacteristic
1275#107C23×C8311yescharacteristic
1276#107C23×C8311yescharacteristic
1277#107C23×C8311yescharacteristic
1278#107C23×C8311yescharacteristic
1279#107C23×C8311yescharacteristic
1280#107C23×C8311yescharacteristic
1281#106C23×C8311yescharacteristic
1282#106C23×C8311yescharacteristic
1283#106C23×C8311yescharacteristic
1284#106C23×C8311yescharacteristic
1285#106C23×C8311yescharacteristic
1286#106C23×C8311yescharacteristic
1287#106C23×C8311yescharacteristic
1288#106C23×C8311yescharacteristic
1289#106C23×C8311yescharacteristic
1290#106C23×C8311yescharacteristic
1291#106C23×C8311yescharacteristic
1292#106C23×C8311yescharacteristic
1293C4⋊C8C23×C8311yescharacteristic
1294C4⋊C8C23×C8311yescharacteristic
1295C4⋊C8C23×C8311yescharacteristic
1296C4⋊C8C23×C8311yescharacteristic
1297#103C23×C8311yescharacteristic
1298#103C23×C8311yescharacteristic
1299#103C23×C8311yescharacteristic
1300#103C23×C8311yescharacteristic
1301#103C23×C8311yescharacteristic
1302#103C23×C8311yescharacteristic
1303#103C23×C8311yescharacteristic
1304#103C23×C8311yescharacteristic
1305#103C23×C8311yescharacteristic
1306#103C23×C8311yescharacteristic
1307#102C23×C8311yescharacteristic
1308#102C23×C8311yescharacteristic
1309#102C23×C8311yescharacteristic
1310#102C23×C8311yescharacteristic
1311#102C23×C8311yescharacteristic
1312#102C23×C8311yescharacteristic
1313#102C23×C8311yescharacteristic
1314#102C23×C8311yescharacteristic
1315#102C23×C8311yescharacteristic
1316#102C23×C8311yescharacteristic
1317#102C23×C8311yescharacteristic
1318#102C23×C8311yescharacteristic
1319#102C23×C8311yescharacteristic
1320#102C23×C8311yescharacteristic
1321#102C23×C8311yescharacteristic
1322#102C23×C8311yescharacteristic
1323#102C23×C8311yescharacteristic
1324#102C23×C8311yescharacteristic
1325#102C23×C8311yescharacteristic
1326#102C23×C8311yescharacteristic
1327#102C23×C8311yescharacteristic
1328#102C23×C8311yescharacteristic
1329C22⋊C8C23×C8311yescharacteristic
1330C22⋊C8C23×C8311yescharacteristic
1331C22⋊C8C23×C8311yescharacteristic
1332C22⋊C8C23×C8311yescharacteristic
1333C22⋊C8C23×C8311yescharacteristic
1334C22⋊C8C23×C8311yescharacteristic
1335C22⋊C8C23×C8311yescharacteristic
1336C22⋊C8C23×C8311yescharacteristic
1337C22⋊C8C23×C8311yescharacteristic
1338C22⋊C8C23×C8311yescharacteristic
1339C22⋊C8C23×C8311yescharacteristic
1340C22⋊C8C23×C8311yescharacteristic
1341#97C23×C8311yescharacteristic
1342#97C23×C8311yescharacteristic
1343C4×C8C23×C8311yescharacteristic
1344C4×C8C23×C8311yescharacteristic
1345C24—21no—
1346C24—21no—
1347C24C2×D4×C8311yescharacteristic
1348#41—41no—
1349#41—41no—
1350#41—41no—
1351#41—41no—
1352#41—41no—
1353#41—41no—
1354#41—41no—
1355#41—41no—
1356#41—82no—
1357C2×Q8—21no—
1358C2×Q8—21no—
1359C2×Q8—21no—
1360C2×Q8C2×D4×C8311yescharacteristic
1361C2×Q8C24×C8311yescharacteristic
1362C2×Q8C24×C8311yescharacteristic
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—21no—
1366C2×D4—21no—
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—21no—
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—21no—
1375C2×D4—21no—
1376C2×D4—21no—
1377C2×D4—21no—
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—41no—
1384C2×D4—41no—
1385C2×D4—41no—
1386C2×D4—41no—
1387C2×D4—82no—
1388C2×D4—82no—
1389C2×D4C2×D4×C8311yescharacteristic
1390C2×D4C2×D4×C8311yescharacteristic
1391C2×D4C2×D4×C8311yescharacteristic
1392C2×D4C2×D4×C8311yescharacteristic
1393C2×D4C2×D4×C8311yescharacteristic
1394C2×D4C2×D4×C8311yescharacteristic
1395C2×D4C2×D4×C8311yescharacteristic
1396C2×D4C24×C8311yescharacteristic
1397C2×D4C24×C8311yescharacteristic
1398C2×D4C24×C8311yescharacteristic
1399C2×D4C24×C8311yescharacteristic
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—21no—
1413C22×C4—21no—
1414C22×C4—41no—
1415C22×C4—41no—
1416C22×C4C2×D4×C8311yescharacteristic
1417C22×C4C2×D4×C8311yescharacteristic
1418C22×C4C2×D4×C8311yescharacteristic
1419C22×C4C24×C8311yescharacteristic
1420C22×C4C24×C8311yescharacteristic
1421C22×C4C24×C8311yescharacteristic
1422C22×C4C24×C8311yescharacteristic
1423C22×C4C24×C8311yescharacteristic
1424Q16—41no—
1425SD16—41no—
1426SD16—41no—
1427SD16—41no—
1428SD16—41no—
1429D8—41no—
1430D8—41no—
1431D8—41no—
1432M16—41no—
1433M16—41no—
1434M16—41no—
1435M16—41no—
1436C2×C8—41no—
1437C2×C8—41no—
1438C2×C8—41no—
1439C2×C8—41no—
1440C2×C8C24×C8311yescharacteristic
1441C2×C8C24×C8311yescharacteristic
1442C2×C8C24×C8311yescharacteristic
1443C2×C8C24×C8311yescharacteristic
1444C2×C8C24×C8311yescharacteristic
1445C2×C8C24×C8311yescharacteristic
1446C2×C8C24×C8311yescharacteristic
1447C2×C8C24×C8311yescharacteristic
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—21no—
1459C4⋊C4—21no—
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊C4C2×D4×C8311yescharacteristic
1474C4⋊C4C2×D4×C8311yescharacteristic
1475C4⋊C4C2×D4×C8311yescharacteristic
1476C4⋊C4C2×D4×C8311yescharacteristic
1477C4⋊C4C2×D4×C8311yescharacteristic
1478C4⋊C4C2×D4×C8311yescharacteristic
1479C4⋊C4C24×C8311yescharacteristic
1480C4⋊C4C24×C8311yescharacteristic
1481C4⋊C4C24×C8311yescharacteristic
1482C4⋊C4C24×C8311yescharacteristic
1483C4⋊C4C24×C8311yescharacteristic
1484C4⋊C4C24×C8311yescharacteristic
1485C4⋊C4C24×C8311yescharacteristic
1486C4⋊C4C24×C8311yescharacteristic
1487C4⋊C4C24×C8311yescharacteristic
1488C4⋊C4C24×C8311yescharacteristic
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⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4C2×D4×C8311yescharacteristic
1526C22⋊C4C2×D4×C8311yescharacteristic
1527C22⋊C4C2×D4×C8311yescharacteristic
1528C22⋊C4C2×D4×C8311yescharacteristic
1529C22⋊C4C2×D4×C8311yescharacteristic
1530C22⋊C4C2×D4×C8311yescharacteristic
1531C22⋊C4C2×D4×C8311yescharacteristic
1532C22⋊C4C2×D4×C8311yescharacteristic
1533C22⋊C4C2×D4×C8311yescharacteristic
1534C22⋊C4C2×D4×C8311yescharacteristic
1535C42—21no—
1536C42—21no—
1537C42—21no—
1538C42—21no—
1539C42—21no—
1540C42—21no—
1541C42—21no—
1542C42—21no—
1543C42—21no—
1544C42—21no—
1545C42—21no—
1546C42—21no—
1547C42C24×C8311yescharacteristic
1548C42C24×C8311yescharacteristic
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—41no—
1554C23—41no—
1555C23—41no—
1556C23—42no—
1557C23—81no—
1558C23—81no—
1559C23—81no—
1560C23—81no—
1561C23—81no—
1562C23C22×D4×C8311yescharacteristic
1563C23C22×D4×C8311yescharacteristic
1564C23C22×D4×C8311yescharacteristic
1565C23C22×D4×C8311yescharacteristic
1566C23C22×D4×C8311yescharacteristic
1567Q8—21no—
1568Q8—21no—
1569Q8—21no—
1570Q8—21no—
1571Q8—41no—
1572Q8—81no—
1573Q8—81no—
1574Q8—81no—
1575D4—21no—
1576D4—21no—
1577D4—21no—
1578D4—21no—
1579D4—21no—
1580D4—21no—
1581D4—21no—
1582D4—21no—
1583D4—41no—
1584D4—41no—
1585D4—41no—
1586D4—41no—
1587D4—41no—
1588D4—41no—
1589D4—41no—
1590D4—42no—
1591D4—42no—
1592D4—81no—
1593D4—81no—
1594D4—81no—
1595D4—81no—
1596D4—81no—
1597D4—81no—
1598D4—81no—
1599D4—81no—
1600D4—81no—
1601D4—81no—
1602D4—81no—
1603D4—81no—
1604D4—81no—
1605D4—81no—
1606D4—81no—
1607D4—81no—
1608D4—81no—
1609D4—81no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—41no—
1633C2×C4—41no—
1634C2×C4—41no—
1635C2×C4—42no—
1636C2×C4—42no—
1637C2×C4—81no—
1638C2×C4—81no—
1639C2×C4—81no—
1640C2×C4—81no—
1641C2×C4—81no—
1642C2×C4—81no—
1643C2×C4—81no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4—81no—
1647C2×C4—81no—
1648C2×C4—81no—
1649C2×C4C22×D4×C8311yescharacteristic
1650C2×C4C22×D4×C8311yescharacteristic
1651C2×C4C22×D4×C8311yescharacteristic
1652C2×C4C22×D4×C8311yescharacteristic
1653C2×C4C22×D4×C8311yescharacteristic
1654C2×C4C22×D4×C8311yescharacteristic
1655C2×C4C22×D4×C8311yescharacteristic
1656C2×C4C22×D4×C8311yescharacteristic
1657C2×C4C22×D4×C8311yescharacteristic
1658C2×C4C25×C8311yescharacteristic
1659C8—21no—
1660C8—21no—
1661C8—21no—
1662C8—21no—
1663C8—21no—
1664C8—21no—
1665C8—21no—
1666C8—21no—
1667C22—21no—
1668C22—21no—
1669C22—21no—
1670C22—21no—
1671C22—21no—
1672C22—21no—
1673C22—21no—
1674C22—21no—
1675C22—21no—
1676C22—21no—
1677C22—21no—
1678C22—21no—
1679C22—21no—
1680C22—21no—
1681C22—21no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—82no—
1695C22—162no—
1696C22—162no—
1697C22C23×D4×C8311yescharacteristic
1698C4—21no—
1699C4—21no—
1700C4—21no—
1701C4—21no—
1702C4—21no—
1703C4—21no—
1704C4—21no—
1705C4—21no—
1706C4—21no—
1707C4—41no—
1708C4—41no—
1709C4—41no—
1710C4—41no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4#585×C8311yescharacteristic
1720C4#585×C8311yescharacteristic
1721C2—41no—
1722C2—41no—
1723C2—41no—
1724C2—41no—
1725C2—41no—
1726C2—81no—
1727C2—81no—
1728C2—81no—
1729C2—81no—
1730C2C83×#348511yescharacteristic
1731C2C83×#358411yescharacteristic
1732C2C83×#358511yescharacteristic
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×#3542C2semidirect
2. C83×#3493C2semidirect
3. C83×#3354C2semidirect
4. C83×#3352C2semidirect
5. C83×#3350C2semidirect
6. C83×#3348C2semidirect
7. C83×#3347C2semidirect
8. C83×#3343C2semidirect
9. C83×#3340C2semidirect
10. C83×#3339C2semidirect
11. C83×#3325C2semidirect
12. C83×#3323C2semidirect
13. C83×#3319C2semidirect
14. C83×#3311C2semidirect
15. C83×#3310C2semidirect
16. C83×#3309C2semidirect
17. C83×#3304C2semidirect
18. C83×#3297C2semidirect
19. C83×#3244C2semidirect
20. C83×#3241C2semidirect
21. C83×#3204C2semidirect
22. C83×#3198C2semidirect
23. C83×#3197C2semidirect
24. C83×#3188C2semidirect
25. C83×#3124C2semidirect
26. C83×#3119C2semidirect
27. C83×#3098C2semidirect
28. C83×#3096C2semidirect
29. C83×#3094C2semidirect
30. C83×#3091C2semidirect
31. C83×#2976C2semidirect
35. #556×C83C22semidirect
36. #556×C83C22semidirect
40. #555×C83C22semidirect
43. #553×C83C22semidirect
44. #553×C83C22semidirect
48. #552×C83C22semidirect
56. #544×C83C22semidirect
64. #537×C83C22semidirect
72. #525×C83C22semidirect
74. #520×C83C22semidirect
75. #520×C83C22semidirect
76. C2×#117×C83C22semidirect
77. #501×C83C22semidirect
78. #501×C83C22semidirect
79. #499×C83C22semidirect
80. #498×C83C22semidirect
81. #490×C83C22semidirect
82. #489×C83C22semidirect
83. #488×C83C22semidirect
84. #486×C83C22semidirect
85. #485×C83C22semidirect
86. #485×C83C22semidirect
87. #485×C83C22semidirect
88. #485×C83C22semidirect
89. #485×C83C22semidirect
90. #485×C83C22semidirect
91. #484×C83C22semidirect
92. #484×C83C22semidirect
93. #484×C83C22semidirect
94. #483×C83C22semidirect
95. #483×C83C22semidirect
101. #482×C83C22semidirect
102. #482×C83C22semidirect
103. #482×C83C22semidirect
104. #482×C83C22semidirect
105. #482×C83C22semidirect
106. #482×C83C22semidirect
107. #482×C83C22semidirect
108. #482×C83C22semidirect
109. #482×C83C22semidirect
111. #481×C83C22semidirect
112. #481×C83C22semidirect
113. #481×C83C22semidirect
114. #481×C83C22semidirect
115. #481×C83C22semidirect
117. #480×C83C22semidirect
118. #480×C83C22semidirect
119. #480×C83C22semidirect
120. #480×C83C22semidirect
121. #479×C83C22semidirect
122. #479×C83C22semidirect
123. #478×C83C22semidirect
124. #478×C83C22semidirect
125. #478×C83C22semidirect
126. #478×C83C22semidirect
127. #477×C83C22semidirect
128. #476×C83C22semidirect
129. #476×C83C22semidirect
130. #475×C83C22semidirect
131. #474×C83C22semidirect
132. #474×C83C22semidirect
133. #470×C83C22semidirect
134. #470×C83C22semidirect
136. #469×C83C22semidirect
137. #469×C83C22semidirect
139. #468×C83C22semidirect
140. #468×C83C22semidirect
142. #466×C83C22semidirect
143. #466×C83C22semidirect
145. #465×C83C22semidirect
146. #465×C83C22semidirect
147. #465×C83C22semidirect
148. #465×C83C22semidirect
149. #464×C83C22semidirect
150. #463×C83C22semidirect
151. #460×C83C22semidirect
152. #459×C83C22semidirect
153. #452×C83C22semidirect
154. #452×C83C22semidirect
155. #452×C83C22semidirect
157. #450×C83C22semidirect
159. #449×C83C22semidirect
160. #449×C83C22semidirect
161. #449×C83C22semidirect
162. #449×C83C22semidirect
164. #447×C83C22semidirect
165. #442×C83C22semidirect
166. #440×C83C22semidirect
167. #440×C83C22semidirect
168. #440×C83C22semidirect
169. C4×Q16×C83C22semidirect
170. C4×SD16×C83C22semidirect
171. C4×D8×C83C22semidirect
172. C4×D8×C83C22semidirect
174. #436×C83C22semidirect
176. #435×C83C22semidirect
177. #435×C83C22semidirect
178. #435×C83C22semidirect
179. C8×D4×C83C22semidirect
180. C8×D4×C83C22semidirect
181. #433×C83C22semidirect
182. #433×C83C22semidirect
183. #428×C83C22semidirect
184. #428×C83C22semidirect
185. #428×C83C22semidirect
186. #428×C83C22semidirect
187. #427×C83C22semidirect
188. #427×C83C22semidirect
189. #427×C83C22semidirect
190. C2×#107×C83C22semidirect
193. #418×C83C22semidirect
194. #417×C83C22semidirect
195. #416×C83C22semidirect
196. #416×C83C22semidirect
197. #416×C83C22semidirect
198. C2×#102×C83C22semidirect
199. #408×C83C22semidirect
200. #408×C83C22semidirect
201. #407×C83C22semidirect
202. C2×C22⋊C8×C83C22semidirect
854. #61751C83direct (N × H)
867. #3542C2×C83semidirect
868. #3493C2×C83semidirect
869. #3354C2×C83semidirect
870. #3352C2×C83semidirect
871. #3350C2×C83semidirect
872. #3348C2×C83semidirect
873. #3347C2×C83semidirect
874. #3343C2×C83semidirect
875. #3340C2×C83semidirect
876. #3339C2×C83semidirect
877. #3325C2×C83semidirect
878. #3323C2×C83semidirect
879. #3319C2×C83semidirect
880. #3311C2×C83semidirect
881. #3310C2×C83semidirect
882. #3309C2×C83semidirect
883. #3304C2×C83semidirect
884. #3297C2×C83semidirect
885. #3244C2×C83semidirect
886. #3241C2×C83semidirect
887. #3204C2×C83semidirect
888. #3198C2×C83semidirect
889. #3197C2×C83semidirect
890. #3188C2×C83semidirect
891. #3124C2×C83semidirect
892. #3119C2×C83semidirect
893. #3098C2×C83semidirect
894. #3096C2×C83semidirect
895. #3094C2×C83semidirect
896. #3091C2×C83semidirect
897. #2976C2×C83semidirect
898. C83#61751direct (N × H)
902. #556C22×C83semidirect
903. #556C22×C83semidirect
907. #555C22×C83semidirect
910. #553C22×C83semidirect
911. #553C22×C83semidirect
915. #552C22×C83semidirect
923. #544C22×C83semidirect
931. #537C22×C83semidirect
939. #525C22×C83semidirect
941. #520C22×C83semidirect
942. #520C22×C83semidirect
943. C2×#117C22×C83semidirect
944. #501C22×C83semidirect
945. #501C22×C83semidirect
946. #499C22×C83semidirect
947. #498C22×C83semidirect
948. #490C22×C83semidirect
949. #489C22×C83semidirect
950. #488C22×C83semidirect
951. #486C22×C83semidirect
952. #485C22×C83semidirect
953. #485C22×C83semidirect
954. #485C22×C83semidirect
955. #485C22×C83semidirect
956. #485C22×C83semidirect
957. #485C22×C83semidirect
958. #484C22×C83semidirect
959. #484C22×C83semidirect
960. #484C22×C83semidirect
961. #483C22×C83semidirect
962. #483C22×C83semidirect
968. #482C22×C83semidirect
969. #482C22×C83semidirect
970. #482C22×C83semidirect
971. #482C22×C83semidirect
972. #482C22×C83semidirect
973. #482C22×C83semidirect
974. #482C22×C83semidirect
975. #482C22×C83semidirect
976. #482C22×C83semidirect
978. #481C22×C83semidirect
979. #481C22×C83semidirect
980. #481C22×C83semidirect
981. #481C22×C83semidirect
982. #481C22×C83semidirect
984. #480C22×C83semidirect
985. #480C22×C83semidirect
986. #480C22×C83semidirect
987. #480C22×C83semidirect
988. #479C22×C83semidirect
989. #479C22×C83semidirect
990. #478C22×C83semidirect
991. #478C22×C83semidirect
992. #478C22×C83semidirect
993. #478C22×C83semidirect
994. #477C22×C83semidirect
995. #476C22×C83semidirect
996. #476C22×C83semidirect
997. #475C22×C83semidirect
998. #474C22×C83semidirect
999. #474C22×C83semidirect
1000. #470C22×C83semidirect
1001. #470C22×C83semidirect
1003. #469C22×C83semidirect
1004. #469C22×C83semidirect
1006. #468C22×C83semidirect
1007. #468C22×C83semidirect
1009. #466C22×C83semidirect
1010. #466C22×C83semidirect
1012. #465C22×C83semidirect
1013. #465C22×C83semidirect
1014. #465C22×C83semidirect
1015. #465C22×C83semidirect
1016. #464C22×C83semidirect
1017. #463C22×C83semidirect
1018. #460C22×C83semidirect
1019. #459C22×C83semidirect
1020. #452C22×C83semidirect
1021. #452C22×C83semidirect
1022. #452C22×C83semidirect
1024. #450C22×C83semidirect
1026. #449C22×C83semidirect
1027. #449C22×C83semidirect
1028. #449C22×C83semidirect
1029. #449C22×C83semidirect
1031. #447C22×C83semidirect
1032. #442C22×C83semidirect
1033. #440C22×C83semidirect
1034. #440C22×C83semidirect
1035. #440C22×C83semidirect
1036. C4×Q16C22×C83semidirect
1037. C4×SD16C22×C83semidirect
1038. C4×D8C22×C83semidirect
1039. C4×D8C22×C83semidirect
1041. #436C22×C83semidirect
1043. #435C22×C83semidirect
1044. #435C22×C83semidirect
1045. #435C22×C83semidirect
1046. C8×D4C22×C83semidirect
1047. C8×D4C22×C83semidirect
1048. #433C22×C83semidirect
1049. #433C22×C83semidirect
1050. #428C22×C83semidirect
1051. #428C22×C83semidirect
1052. #428C22×C83semidirect
1053. #428C22×C83semidirect
1054. #427C22×C83semidirect
1055. #427C22×C83semidirect
1056. #427C22×C83semidirect
1057. C2×#107C22×C83semidirect
1060. #418C22×C83semidirect
1061. #417C22×C83semidirect
1062. #416C22×C83semidirect
1063. #416C22×C83semidirect
1064. #416C22×C83semidirect
1065. C2×#102C22×C83semidirect
1066. #408C22×C83semidirect
1067. #408C22×C83semidirect
1068. #407C22×C83semidirect
1069. C2×C22⋊C8C22×C83semidirect

Maximal subgroups

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

subgroupindex
C83×#35422
C83×#34932
C83×#33542
C83×#33522
C83×#33502
C83×#33482
C83×#33472
C83×#33432
C83×#33402
C83×#33392
C83×#33252
C83×#33232
C83×#33192
C83×#33112
C83×#33102
C83×#33092
C83×#33042
C83×#32972
C83×#32442
C83×#32412
C83×#32042
C83×#31982
C83×#31972
C83×#31882
C83×#31242
C83×#31192
C83×#30982
C83×#30962
C83×#30942
C83×#30912
C83×#29762
#6175183