Finite Group Databasebeta

← C83×#61732 #35289556

Subgroups — C83×#61732 #35289556

Order 21248.

1776 conjugacy classes of subgroups.

The subgroup lattice has 1718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C83×#3505C211yesmaximal, characteristic, complemented
2C83×#3475C211yesmaximal, characteristic, complemented
3C83×#3355C211yesmaximal, characteristic, complemented
4C83×#3351C211yesmaximal, characteristic, complemented
5C83×#3350C211yesmaximal, characteristic, complemented
6C83×#3347C211yesmaximal, characteristic, complemented
7C83×#3344C211yesmaximal, characteristic, complemented
8C83×#3343C211yesmaximal, characteristic, complemented
9C83×#3337C211yesmaximal, characteristic, complemented
10C83×#3336C211yesmaximal, characteristic, complemented
11C83×#3327C211yesmaximal, characteristic, complemented
12C83×#3326C211yesmaximal, characteristic, complemented
13C83×#3321C211yesmaximal, characteristic, complemented
14C83×#3314C211yesmaximal, characteristic, complemented
15C83×#3313C211yesmaximal, characteristic, complemented
16C83×#3306C211yesmaximal, characteristic, complemented
17C83×#3297C211yesmaximal, characteristic, complemented
18C83×#3296C211yesmaximal, characteristic, complemented
19C83×#3240C211yesmaximal, characteristic, complemented
20C83×#3233C211yesmaximal, characteristic, complemented
21C83×#3197C211yesmaximal, characteristic, complemented
22C83×#3194C211yesmaximal, characteristic, complemented
23C83×#3191C211yesmaximal, characteristic, complemented
24C83×#3190C211yesmaximal, characteristic, complemented
25C83×#3111C211yesmaximal, characteristic, complemented
26C83×#3102C211yesmaximal, characteristic, complemented
27C83×#3095C211yesmaximal, characteristic, complemented
28C83×#3093C211yesmaximal, characteristic, complemented
29C83×#3091C211yesmaximal, characteristic, complemented
30C2×#482×C83C211yesmaximal, characteristic, complemented
31C83×#2974C211yesmaximal, characteristic, complemented
32#556×C83C2211yescharacteristic, complemented
33#555×C83C2211yescharacteristic, complemented
34#554×C83C2211yescharacteristic
35#553×C83—21no—
36#553×C83—21no—
37#553×C83C2211yescharacteristic
38#553×C83C2211yescharacteristic
39#553×C83C2211yescharacteristic
40#553×C83C2211yescharacteristic, complemented
41#552×C83—21no—
42#552×C83C2211yescharacteristic
43#552×C83C2211yescharacteristic
44#552×C83C2211yescharacteristic
45#552×C83C2211yescharacteristic, complemented
46#551×C83—21no—
47#551×C83—21no—
48#551×C83—21no—
49#551×C83—21no—
50#548×C83C2211yescharacteristic
51#548×C83C2211yescharacteristic
52#547×C83C2211yescharacteristic
53#546×C83—21no—
54#546×C83C2211yescharacteristic
55#546×C83C2211yescharacteristic
56#539×C83—21no—
57#538×C83—21no—
58#534×C83—21no—
59#533×C83C2211yescharacteristic, complemented
60#529×C83—21no—
61#529×C83—21no—
62#529×C83—21no—
63#529×C83C2211yescharacteristic
64#529×C83C2211yescharacteristic
65#525×C83C2211yescharacteristic
66#525×C83C2211yescharacteristic
67#525×C83C2211yescharacteristic
68#525×C83C2211yescharacteristic, complemented
69C2×C22⋊Q8×C83C2211yescharacteristic
70C2×#121×C83C2211yescharacteristic
71#518×C83—21no—
72C4×#41×C83—21no—
73C4×#41×C83C2211yescharacteristic, complemented
74C2×C4×D4×C83C2211yescharacteristic
75C2×#117×C83C2211yescharacteristic
76C2×#117×C83C2211yescharacteristic, complemented
77#501×C83C2211yescharacteristic, complemented
78#501×C83C2211yescharacteristic, complemented
79#499×C83C2211yescharacteristic, complemented
80#499×C83C2211yescharacteristic, complemented
81#489×C83C2211yescharacteristic, complemented
82#489×C83C2211yescharacteristic, complemented
83#488×C83C2211yescharacteristic, complemented
84#488×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#485×C83C2211yescharacteristic, complemented
92#485×C83C2211yescharacteristic, complemented
93#485×C83C2211yescharacteristic, complemented
94#485×C83C2211yescharacteristic, complemented
95#484×C83C2211yescharacteristic, complemented
96#484×C83C2211yescharacteristic, complemented
97#484×C83C2211yescharacteristic, complemented
98#483×C83C2211yescharacteristic, complemented
99#483×C83C2211yescharacteristic, complemented
100#483×C83C2211yescharacteristic, complemented
101#483×C83C2211yescharacteristic, complemented
102#483×C83C2211yescharacteristic, complemented
103#482×C83C2211yescharacteristic
104#482×C83C2211yescharacteristic
105#482×C83C2211yescharacteristic
106#482×C83C2211yescharacteristic
107#482×C83C2211yescharacteristic
108#482×C83C2211yescharacteristic
109#482×C83C2211yescharacteristic, complemented
110#482×C83C2211yescharacteristic, complemented
111#482×C83C2211yescharacteristic, complemented
112#482×C83C2211yescharacteristic, complemented
113#482×C83C2211yescharacteristic, complemented
114#482×C83C2211yescharacteristic, complemented
115#482×C83C2211yescharacteristic, complemented
116#482×C83C2211yescharacteristic, complemented
117#481×C83C2211yescharacteristic, complemented
118#480×C83C2211yescharacteristic, complemented
119#480×C83C2211yescharacteristic, complemented
120#480×C83C2211yescharacteristic, complemented
121#479×C83C2211yescharacteristic, complemented
122#479×C83C2211yescharacteristic, complemented
123#479×C83C2211yescharacteristic, complemented
124#479×C83C2211yescharacteristic, complemented
125#478×C83C2211yescharacteristic, complemented
126#478×C83C2211yescharacteristic, complemented
127#478×C83C2211yescharacteristic, complemented
128#478×C83C2211yescharacteristic, complemented
129#477×C83C2211yescharacteristic, complemented
130#476×C83C2211yescharacteristic, complemented
131#475×C83C2211yescharacteristic, complemented
132#474×C83C2211yescharacteristic, complemented
133#470×C83C2211yescharacteristic, complemented
134#469×C83C2211yescharacteristic, complemented
135#469×C83C2211yescharacteristic, complemented
136#469×C83C2211yescharacteristic, complemented
137#468×C83C2211yescharacteristic, complemented
138#468×C83C2211yescharacteristic, complemented
139#468×C83C2211yescharacteristic, complemented
140#468×C83C2211yescharacteristic, complemented
141#467×C83C2211yescharacteristic, complemented
142#467×C83C2211yescharacteristic, complemented
143#467×C83C2211yescharacteristic, complemented
144#466×C83C2211yescharacteristic, complemented
145#465×C83C2211yescharacteristic, complemented
146#465×C83C2211yescharacteristic, complemented
147#465×C83C2211yescharacteristic, complemented
148#465×C83C2211yescharacteristic, complemented
149#464×C83C2211yescharacteristic, complemented
150#464×C83C2211yescharacteristic, complemented
151#463×C83C2211yescharacteristic, complemented
152#463×C83C2211yescharacteristic, complemented
153#452×C83C2211yescharacteristic, complemented
154#452×C83C2211yescharacteristic, complemented
155#452×C83C2211yescharacteristic, complemented
156#452×C83C2211yescharacteristic, complemented
157#451×C83C2211yescharacteristic, complemented
158#450×C83C2211yescharacteristic, complemented
159#449×C83C2211yescharacteristic
160#449×C83C2211yescharacteristic
161#449×C83C2211yescharacteristic, complemented
162#449×C83C2211yescharacteristic, complemented
163#448×C83C2211yescharacteristic, complemented
164#447×C83C2211yescharacteristic, complemented
165#442×C83C2211yescharacteristic, complemented
166#441×C83C2211yescharacteristic, complemented
167#440×C83C2211yescharacteristic, complemented
168#440×C83C2211yescharacteristic, complemented
169C4×Q16×C83C2211yescharacteristic, complemented
170C4×SD16×C83C2211yescharacteristic, complemented
171C4×SD16×C83C2211yescharacteristic, complemented
172C4×D8×C83C2211yescharacteristic, complemented
173#436×C83C2211yescharacteristic, complemented
174#436×C83C2211yescharacteristic, complemented
175#435×C83C2211yescharacteristic
176#435×C83C2211yescharacteristic
177#435×C83C2211yescharacteristic, complemented
178#435×C83C2211yescharacteristic, complemented
179C8×D4×C83C2211yescharacteristic
180C8×D4×C83C2211yescharacteristic
181#432×C83C2211yescharacteristic, complemented
182#431×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
189C2×#107×C83C2211yescharacteristic, complemented
190C2×#106×C83C2211yescharacteristic, complemented
191#419×C83C2211yescharacteristic, complemented
192#419×C83C2211yescharacteristic, complemented
193#417×C83C2211yescharacteristic, complemented
194#417×C83C2211yescharacteristic, complemented
195#416×C83C2211yescharacteristic, complemented
196#416×C83C2211yescharacteristic, complemented
197C2×#102×C83C2211yescharacteristic, complemented
198C2×#102×C83C2211yescharacteristic, complemented
199#407×C83C2211yescharacteristic
200#407×C83C2211yescharacteristic, complemented
201C2×C22⋊C8×C83C2211yescharacteristic
202C2×C22⋊C8×C83C2211yescharacteristic, complemented
203C2×#41×C83—21no—
204C2×#41×C83C2311yescharacteristic
205C2×#41×C83C2311yescharacteristic
206C2×#41×C83C2311yescharacteristic
207C22×Q8×C83C2311yescharacteristic
208C22×D4×C83—21no—
209C22×D4×C83D411yescharacteristic
210C22×D4×C83C2311yescharacteristic
211C23×C4×C83C2311yescharacteristic
212C23×C4×C83C2311yescharacteristic
213C2×Q16×C83C2311yescharacteristic
214C2×Q16×C83C2311yescharacteristic
215C2×SD16×C83C2311yescharacteristic
216C2×SD16×C83C2311yescharacteristic
217C2×SD16×C83C2311yescharacteristic
218C2×SD16×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×C83C2311yescharacteristic
230C4⋊Q8×C83C2311yescharacteristic
231#126×C83—21no—
232#126×C83—21no—
233#126×C83—21no—
234#126×C83—21no—
235#126×C83—21no—
236#126×C83—21no—
237#126×C83—21no—
238#126×C83—21no—
239#126×C83—21no—
240#126×C83—21no—
241#126×C83—21no—
242#126×C83—21no—
243#125×C83—21no—
244#125×C83—21no—
245#125×C83—21no—
246#125×C83—21no—
247#125×C83—21no—
248#125×C83C2311yescharacteristic
249#125×C83C2311yescharacteristic
250#125×C83C2311yescharacteristic
251#125×C83C2311yescharacteristic
252#124×C83—21no—
253#124×C83—21no—
254#124×C83—21no—
255#124×C83—21no—
256#124×C83—21no—
257#124×C83C2311yescharacteristic
258#124×C83C2311yescharacteristic
259#123×C83—21no—
260#123×C83—21no—
261#123×C83—21no—
262#123×C83—21no—
263#123×C83—21no—
264#123×C83—21no—
265#123×C83—21no—
266#123×C83—21no—
267#123×C83—21no—
268#123×C83—21no—
269#123×C83—21no—
270#123×C83—21no—
271#123×C83—21no—
272#123×C83—21no—
273#123×C83—21no—
274#123×C83—21no—
275#123×C83—21no—
276#123×C83—21no—
277C22⋊Q8×C83—21no—
278C22⋊Q8×C83—21no—
279C22⋊Q8×C83—21no—
280C22⋊Q8×C83—21no—
281C22⋊Q8×C83—21no—
282C22⋊Q8×C83—21no—
283C22⋊Q8×C83—21no—
284C22⋊Q8×C83—21no—
285C22⋊Q8×C83—21no—
286C22⋊Q8×C83C2311yescharacteristic
287C22⋊Q8×C83C2311yescharacteristic
288C22⋊Q8×C83C2311yescharacteristic
289C22⋊Q8×C83C2311yescharacteristic
290C22⋊Q8×C83C2311yescharacteristic
291C22⋊Q8×C83C2311yescharacteristic
292C22⋊Q8×C83C2311yescharacteristic
293C22⋊Q8×C83C2311yescharacteristic
294C22⋊Q8×C83C2311yescharacteristic
295C22⋊Q8×C83C2311yescharacteristic
296#121×C83—21no—
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×C83C2311yescharacteristic
308#121×C83C2311yescharacteristic
309#121×C83C2311yescharacteristic
310#121×C83C2311yescharacteristic
311#121×C83C2311yescharacteristic
312#121×C83C2311yescharacteristic
313#121×C83C2311yescharacteristic
314#121×C83C2311yescharacteristic
315#121×C83C2311yescharacteristic
316#121×C83C2311yescharacteristic
317#120×C83—21no—
318#120×C83—21no—
319#120×C83—21no—
320#120×C83—21no—
321#120×C83—21no—
322#120×C83—21no—
323C4×Q8×C83—21no—
324C4×Q8×C83—21no—
325C4×Q8×C83—21no—
326C4×Q8×C83C2311yescharacteristic
327C4×Q8×C83C2311yescharacteristic
328C4×Q8×C83C2311yescharacteristic
329C4×Q8×C83C2311yescharacteristic
330C4×D4×C83—21no—
331C4×D4×C83—21no—
332C4×D4×C83—21no—
333C4×D4×C83—21no—
334C4×D4×C83—21no—
335C4×D4×C83—21no—
336C4×D4×C83—21no—
337C4×D4×C83—21no—
338C4×D4×C83—21no—
339C4×D4×C83—21no—
340C4×D4×C83—21no—
341C4×D4×C83—21no—
342C4×D4×C83—21no—
343C4×D4×C83—21no—
344C4×D4×C83—21no—
345C4×D4×C83—21no—
346C4×D4×C83—21no—
347C4×D4×C83—21no—
348C4×D4×C83—21no—
349C4×D4×C83D411yescharacteristic
350C4×D4×C83D411yescharacteristic
351C4×D4×C83D411yescharacteristic
352C4×D4×C83D411yescharacteristic
353C4×D4×C83C2311yescharacteristic
354C4×D4×C83C2311yescharacteristic
355C4×D4×C83C2311yescharacteristic
356C4×D4×C83C2311yescharacteristic
357C4×D4×C83C2311yescharacteristic
358C4×D4×C83C2311yescharacteristic
359C4×D4×C83C2311yescharacteristic
360C4×D4×C83C2311yescharacteristic
361#117×C83—21no—
362#117×C83—21no—
363#117×C83—21no—
364#117×C83—21no—
365#117×C83—21no—
366#117×C83—21no—
367#117×C83—21no—
368#117×C83—21no—
369#117×C83—21no—
370#117×C83—21no—
371#117×C83—21no—
372#117×C83—21no—
373#117×C83C2311yescharacteristic
374#117×C83C2311yescharacteristic
375#117×C83C2311yescharacteristic
376#117×C83C2311yescharacteristic
377#117×C83C2311yescharacteristic
378#117×C83C2311yescharacteristic
379#117×C83C2311yescharacteristic
380#117×C83C2311yescharacteristic
381#117×C83C2311yescharacteristic
382C2×C4⋊C4×C83—21no—
383C2×C4⋊C4×C83D411yescharacteristic
384C2×C4⋊C4×C83C2311yescharacteristic
385C2×C4⋊C4×C83C2311yescharacteristic
386C2×C4⋊C4×C83C2311yescharacteristic
387C2×C4⋊C4×C83C2311yescharacteristic
388C2×C4⋊C4×C83C2311yescharacteristic
389C2×C4⋊C4×C83C2311yescharacteristic
390C2×C22⋊C4×C83—21no—
391C2×C22⋊C4×C83—21no—
392C2×C22⋊C4×C83—21no—
393C2×C22⋊C4×C83—21no—
394C2×C22⋊C4×C83—21no—
395C2×C22⋊C4×C83—21no—
396C2×C22⋊C4×C83D411yescharacteristic
397C2×C22⋊C4×C83D411yescharacteristic
398C2×C42×C83—21no—
399C2×C42×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#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×C83C2×D411yescharacteristic
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—44no—
488C2×Q8×C83—21no—
489C2×Q8×C83—21no—
490C2×Q8×C83—21no—
491C2×Q8×C83—41no—
492C2×Q8×C83—41no—
493C2×Q8×C83C2411yescharacteristic
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—41no—
511C2×D4×C83—41no—
512C2×D4×C83—42no—
513C2×D4×C83—44no—
514C2×D4×C83C2×D411yescharacteristic
515C2×D4×C83C2×D411yescharacteristic
516C2×D4×C83C2×D411yescharacteristic
517C2×D4×C83C2×D411yescharacteristic
518C2×D4×C83C2411yescharacteristic
519C2×D4×C83C2411yescharacteristic
520C2×D4×C83C2411yescharacteristic
521C22×C4×C83—21no—
522C22×C4×C83—21no—
523C22×C4×C83—21no—
524C22×C4×C83—21no—
525C22×C4×C83—21no—
526C22×C4×C83—21no—
527C22×C4×C83—21no—
528C22×C4×C83—21no—
529C22×C4×C83—21no—
530C22×C4×C83—21no—
531C22×C4×C83—21no—
532C22×C4×C83—21no—
533C22×C4×C83—21no—
534C22×C4×C83—21no—
535C22×C4×C83—41no—
536C22×C4×C83—41no—
537C22×C4×C83—41no—
538C22×C4×C83—41no—
539C22×C4×C83C2×D411yescharacteristic
540C22×C4×C83C2×D411yescharacteristic
541C22×C4×C83C2×D411yescharacteristic
542C22×C4×C83C2×D411yescharacteristic
543C22×C4×C83C2×D411yescharacteristic
544C22×C4×C83C2×D411yescharacteristic
545C22×C4×C83C2×D411yescharacteristic
546C22×C4×C83C2×D411yescharacteristic
547C22×C4×C83C2411yescharacteristic
548C22×C4×C83C2411yescharacteristic
549C22×C4×C83C2411yescharacteristic
550C22×C4×C83C2411yescharacteristic
551C22×C4×C83C2411yescharacteristic
552Q16×C83—41no—
553Q16×C83—41no—
554SD16×C83—41no—
555SD16×C83—41no—
556SD16×C83—41no—
557SD16×C83—41no—
558D8×C83—41no—
559D8×C83—41no—
560M16×C83—41no—
561M16×C83—41no—
562M16×C83—41no—
563M16×C83—41no—
564C2×C8×C83—41no—
565C2×C8×C83—41no—
566C2×C8×C83—41no—
567C2×C8×C83—41no—
568C2×C8×C83C2411yescharacteristic
569C2×C8×C83C2411yescharacteristic
570C2×C8×C83C2411yescharacteristic
571C2×C8×C83C2411yescharacteristic
572C2×C8×C83C2411yescharacteristic
573C2×C8×C83C2411yescharacteristic
574C2×C8×C83C2411yescharacteristic
575C2×C8×C83C2411yescharacteristic
576C4⋊C4×C83—21no—
577C4⋊C4×C83—21no—
578C4⋊C4×C83—21no—
579C4⋊C4×C83—21no—
580C4⋊C4×C83—21no—
581C4⋊C4×C83—21no—
582C4⋊C4×C83—21no—
583C4⋊C4×C83—21no—
584C4⋊C4×C83—21no—
585C4⋊C4×C83—21no—
586C4⋊C4×C83—21no—
587C4⋊C4×C83—21no—
588C4⋊C4×C83—21no—
589C4⋊C4×C83—21no—
590C4⋊C4×C83—21no—
591C4⋊C4×C83—21no—
592C4⋊C4×C83—21no—
593C4⋊C4×C83—21no—
594C4⋊C4×C83—21no—
595C4⋊C4×C83—21no—
596C4⋊C4×C83—21no—
597C4⋊C4×C83—21no—
598C4⋊C4×C83—21no—
599C4⋊C4×C83—21no—
600C4⋊C4×C83—21no—
601C4⋊C4×C83—21no—
602C4⋊C4×C83—21no—
603C4⋊C4×C83—21no—
604C4⋊C4×C83—21no—
605C4⋊C4×C83—21no—
606C4⋊C4×C83C2×D411yescharacteristic
607C4⋊C4×C83C2×D411yescharacteristic
608C4⋊C4×C83C2×D411yescharacteristic
609C4⋊C4×C83C2×D411yescharacteristic
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
619C4⋊C4×C83C2411yescharacteristic
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×C83—21no—
654C22⋊C4×C83—21no—
655C22⋊C4×C83—21no—
656C22⋊C4×C83—21no—
657C22⋊C4×C83C2×D411yescharacteristic
658C22⋊C4×C83C2×D411yescharacteristic
659C22⋊C4×C83C2×D411yescharacteristic
660C22⋊C4×C83C2×D411yescharacteristic
661C22⋊C4×C83C2×D411yescharacteristic
662C22⋊C4×C83C2×D411yescharacteristic
663C22⋊C4×C83C2×D411yescharacteristic
664C22⋊C4×C83C2×D411yescharacteristic
665C42×C83—21no—
666C42×C83—21no—
667C42×C83—21no—
668C42×C83—21no—
669C42×C83—21no—
670C42×C83—21no—
671C42×C83—21no—
672C42×C83—21no—
673C42×C83—21no—
674C42×C83—21no—
675C42×C83—21no—
676C42×C83—21no—
677C42×C83—21no—
678C42×C83C2×D411yescharacteristic
679C42×C83C2×D411yescharacteristic
680C42×C83C2411yescharacteristic
681C42×C83C2411yescharacteristic
682C23×C83—22no—
683C23×C83—21no—
684C23×C83—21no—
685C23×C83—21no—
686C23×C83—41no—
687C23×C83—41no—
688C23×C83—41no—
689C23×C83—41no—
690C23×C83—41no—
691C23×C83—42no—
692C23×C83—81no—
693C23×C83—81no—
694C23×C83C22×D411yescharacteristic
695C23×C83C22×D411yescharacteristic
696C23×C83C22×D411yescharacteristic
697C23×C83C22×D411yescharacteristic
698C23×C83C22×D411yescharacteristic
699Q8×C83—21no—
700Q8×C83—21no—
701Q8×C83—21no—
702Q8×C83—21no—
703Q8×C83—21no—
704Q8×C83—21no—
705Q8×C83—42no—
706Q8×C83—81no—
707Q8×C83—81no—
708D4×C83—22no—
709D4×C83—22no—
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—42no—
719D4×C83—42no—
720D4×C83—42no—
721D4×C83—42no—
722D4×C83—42no—
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—
732C2×C4×C83—21no—
733C2×C4×C83—21no—
734C2×C4×C83—21no—
735C2×C4×C83—21no—
736C2×C4×C83—21no—
737C2×C4×C83—21no—
738C2×C4×C83—21no—
739C2×C4×C83—21no—
740C2×C4×C83—21no—
741C2×C4×C83—21no—
742C2×C4×C83—21no—
743C2×C4×C83—21no—
744C2×C4×C83—21no—
745C2×C4×C83—21no—
746C2×C4×C83—21no—
747C2×C4×C83—21no—
748C2×C4×C83—21no—
749C2×C4×C83—21no—
750C2×C4×C83—21no—
751C2×C4×C83—21no—
752C2×C4×C83—21no—
753C2×C4×C83—21no—
754C2×C4×C83—21no—
755C2×C4×C83—41no—
756C2×C4×C83—41no—
757C2×C4×C83—41no—
758C2×C4×C83—41no—
759C2×C4×C83—41no—
760C2×C4×C83—41no—
761C2×C4×C83—41no—
762C2×C4×C83—41no—
763C2×C4×C83—42no—
764C2×C4×C83—42no—
765C2×C4×C83—42no—
766C2×C4×C83—42no—
767C2×C4×C83—42no—
768C2×C4×C83—81no—
769C2×C4×C83—81no—
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×C83C22×D411yescharacteristic
778C2×C4×C83C22×D411yescharacteristic
779C2×C4×C83C22×D411yescharacteristic
780C2×C4×C83C22×D411yescharacteristic
781C2×C4×C83C22×D411yescharacteristic
782C2×C4×C83C22×D411yescharacteristic
783C2×C4×C83C22×D411yescharacteristic
784C2×C4×C83C22×D411yescharacteristic
785C2×C4×C83C22×D411yescharacteristic
786C2×C4×C83C2511yescharacteristic
787C8×C83—21no—
788C8×C83—21no—
789C8×C83—21no—
790C8×C83—21no—
791C8×C83—21no—
792C8×C83—21no—
793C8×C83—21no—
794C8×C83—21no—
795C22×C83—21no—
796C22×C83—21no—
797C22×C83—21no—
798C22×C83—21no—
799C22×C83—21no—
800C22×C83—21no—
801C22×C83—21no—
802C22×C83—21no—
803C22×C83—21no—
804C22×C83—21no—
805C22×C83—21no—
806C22×C83—21no—
807C22×C83—21no—
808C22×C83—21no—
809C22×C83—41no—
810C22×C83—41no—
811C22×C83—41no—
812C22×C83—41no—
813C22×C83—41no—
814C22×C83—41no—
815C22×C83—41no—
816C22×C83—41no—
817C22×C83—41no—
818C22×C83—82no—
819C22×C83—82no—
820C22×C83—162no—
821C22×C83#57512yes—
822C22×C83C23×D411yescharacteristic
823C4×C83—21no—
824C4×C83—21no—
825C4×C83—21no—
826C4×C83—21no—
827C4×C83—21no—
828C4×C83—21no—
829C4×C83—21no—
830C4×C83—21no—
831C4×C83—21no—
832C4×C83—41no—
833C4×C83—41no—
834C4×C83—41no—
835C4×C83—41no—
836C4×C83—41no—
837C4×C83—41no—
838C4×C83—41no—
839C4×C83—41no—
840C4×C83—41no—
841C4×C83—41no—
842C4×C83—41no—
843C4×C83—41no—
844C4×C83—41no—
845C4×C83#58511yescharacteristic
846C4×C83#58511yescharacteristic
847#61732C8311yesmaximal, characteristic, direct product factor, Sylow
848C2×C83—22no—
849C2×C83—41no—
850C2×C83—41no—
851C2×C83—41no—
852C2×C83—41no—
853C2×C83—81no—
854C2×C83—81no—
855C2×C83—81no—
856C2×C83#348511yescharacteristic
857C2×C83C2×#57511yescharacteristic
858C2×C83#358411yescharacteristic
859#3505C2×C8311yescharacteristic, complemented
860#3475C2×C8311yescharacteristic, complemented
861#3355C2×C8311yescharacteristic, complemented
862#3351C2×C8311yescharacteristic, complemented
863#3350C2×C8311yescharacteristic, complemented
864#3347C2×C8311yescharacteristic, complemented
865#3344C2×C8311yescharacteristic, complemented
866#3343C2×C8311yescharacteristic, complemented
867#3337C2×C8311yescharacteristic, complemented
868#3336C2×C8311yescharacteristic, complemented
869#3327C2×C8311yescharacteristic, complemented
870#3326C2×C8311yescharacteristic, complemented
871#3321C2×C8311yescharacteristic, complemented
872#3314C2×C8311yescharacteristic, complemented
873#3313C2×C8311yescharacteristic, complemented
874#3306C2×C8311yescharacteristic, complemented
875#3297C2×C8311yescharacteristic, complemented
876#3296C2×C8311yescharacteristic, complemented
877#3240C2×C8311yescharacteristic, complemented
878#3233C2×C8311yescharacteristic, complemented
879#3197C2×C8311yescharacteristic, complemented
880#3194C2×C8311yescharacteristic, complemented
881#3191C2×C8311yescharacteristic, complemented
882#3190C2×C8311yescharacteristic, complemented
883#3111C2×C8311yescharacteristic, complemented
884#3102C2×C8311yescharacteristic, complemented
885#3095C2×C8311yescharacteristic, complemented
886#3093C2×C8311yescharacteristic, complemented
887#3091C2×C8311yescharacteristic, complemented
888C2×#482C2×C8311yescharacteristic, complemented
889#2974C2×C8311yescharacteristic, complemented
890C83#6173211yescharacteristic, direct product factor, Sylow
891#556C22×C8311yescharacteristic, complemented
892#555C22×C8311yescharacteristic, complemented
893#554C22×C8311yescharacteristic
894#553—21no—
895#553—21no—
896#553C22×C8311yescharacteristic
897#553C22×C8311yescharacteristic
898#553C22×C8311yescharacteristic
899#553C22×C8311yescharacteristic, complemented
900#552—21no—
901#552C22×C8311yescharacteristic
902#552C22×C8311yescharacteristic
903#552C22×C8311yescharacteristic
904#552C22×C8311yescharacteristic, complemented
905#551—21no—
906#551—21no—
907#551—21no—
908#551—21no—
909#548C22×C8311yescharacteristic
910#548C22×C8311yescharacteristic
911#547C22×C8311yescharacteristic
912#546—21no—
913#546C22×C8311yescharacteristic
914#546C22×C8311yescharacteristic
915#539—21no—
916#538—21no—
917#534—21no—
918#533C22×C8311yescharacteristic, complemented
919#529—21no—
920#529—21no—
921#529—21no—
922#529C22×C8311yescharacteristic
923#529C22×C8311yescharacteristic
924#525C22×C8311yescharacteristic
925#525C22×C8311yescharacteristic
926#525C22×C8311yescharacteristic
927#525C22×C8311yescharacteristic, complemented
928C2×C22⋊Q8C22×C8311yescharacteristic
929C2×#121C22×C8311yescharacteristic
930#518—21no—
931C4×#41—21no—
932C4×#41C22×C8311yescharacteristic, complemented
933C2×C4×D4C22×C8311yescharacteristic
934C2×#117C22×C8311yescharacteristic
935C2×#117C22×C8311yescharacteristic, complemented
936#501C22×C8311yescharacteristic, complemented
937#501C22×C8311yescharacteristic, complemented
938#499C22×C8311yescharacteristic, complemented
939#499C22×C8311yescharacteristic, complemented
940#489C22×C8311yescharacteristic, complemented
941#489C22×C8311yescharacteristic, complemented
942#488C22×C8311yescharacteristic, complemented
943#488C22×C8311yescharacteristic, complemented
944#485C22×C8311yescharacteristic, complemented
945#485C22×C8311yescharacteristic, complemented
946#485C22×C8311yescharacteristic, complemented
947#485C22×C8311yescharacteristic, complemented
948#485C22×C8311yescharacteristic, complemented
949#485C22×C8311yescharacteristic, complemented
950#485C22×C8311yescharacteristic, complemented
951#485C22×C8311yescharacteristic, complemented
952#485C22×C8311yescharacteristic, complemented
953#485C22×C8311yescharacteristic, complemented
954#484C22×C8311yescharacteristic, complemented
955#484C22×C8311yescharacteristic, complemented
956#484C22×C8311yescharacteristic, complemented
957#483C22×C8311yescharacteristic, complemented
958#483C22×C8311yescharacteristic, complemented
959#483C22×C8311yescharacteristic, complemented
960#483C22×C8311yescharacteristic, complemented
961#483C22×C8311yescharacteristic, complemented
962#482C22×C8311yescharacteristic
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#481C22×C8311yescharacteristic, complemented
977#480C22×C8311yescharacteristic, complemented
978#480C22×C8311yescharacteristic, complemented
979#480C22×C8311yescharacteristic, complemented
980#479C22×C8311yescharacteristic, complemented
981#479C22×C8311yescharacteristic, complemented
982#479C22×C8311yescharacteristic, complemented
983#479C22×C8311yescharacteristic, complemented
984#478C22×C8311yescharacteristic, complemented
985#478C22×C8311yescharacteristic, complemented
986#478C22×C8311yescharacteristic, complemented
987#478C22×C8311yescharacteristic, complemented
988#477C22×C8311yescharacteristic, complemented
989#476C22×C8311yescharacteristic, complemented
990#475C22×C8311yescharacteristic, complemented
991#474C22×C8311yescharacteristic, complemented
992#470C22×C8311yescharacteristic, complemented
993#469C22×C8311yescharacteristic, complemented
994#469C22×C8311yescharacteristic, complemented
995#469C22×C8311yescharacteristic, complemented
996#468C22×C8311yescharacteristic, complemented
997#468C22×C8311yescharacteristic, complemented
998#468C22×C8311yescharacteristic, complemented
999#468C22×C8311yescharacteristic, complemented
1000#467C22×C8311yescharacteristic, complemented
1001#467C22×C8311yescharacteristic, complemented
1002#467C22×C8311yescharacteristic, complemented
1003#466C22×C8311yescharacteristic, complemented
1004#465C22×C8311yescharacteristic, complemented
1005#465C22×C8311yescharacteristic, complemented
1006#465C22×C8311yescharacteristic, complemented
1007#465C22×C8311yescharacteristic, complemented
1008#464C22×C8311yescharacteristic, complemented
1009#464C22×C8311yescharacteristic, complemented
1010#463C22×C8311yescharacteristic, complemented
1011#463C22×C8311yescharacteristic, complemented
1012#452C22×C8311yescharacteristic, complemented
1013#452C22×C8311yescharacteristic, complemented
1014#452C22×C8311yescharacteristic, complemented
1015#452C22×C8311yescharacteristic, complemented
1016#451C22×C8311yescharacteristic, complemented
1017#450C22×C8311yescharacteristic, complemented
1018#449C22×C8311yescharacteristic
1019#449C22×C8311yescharacteristic
1020#449C22×C8311yescharacteristic, complemented
1021#449C22×C8311yescharacteristic, complemented
1022#448C22×C8311yescharacteristic, complemented
1023#447C22×C8311yescharacteristic, complemented
1024#442C22×C8311yescharacteristic, complemented
1025#441C22×C8311yescharacteristic, complemented
1026#440C22×C8311yescharacteristic, complemented
1027#440C22×C8311yescharacteristic, complemented
1028C4×Q16C22×C8311yescharacteristic, complemented
1029C4×SD16C22×C8311yescharacteristic, complemented
1030C4×SD16C22×C8311yescharacteristic, complemented
1031C4×D8C22×C8311yescharacteristic, complemented
1032#436C22×C8311yescharacteristic, complemented
1033#436C22×C8311yescharacteristic, complemented
1034#435C22×C8311yescharacteristic
1035#435C22×C8311yescharacteristic
1036#435C22×C8311yescharacteristic, complemented
1037#435C22×C8311yescharacteristic, complemented
1038C8×D4C22×C8311yescharacteristic
1039C8×D4C22×C8311yescharacteristic
1040#432C22×C8311yescharacteristic, complemented
1041#431C22×C8311yescharacteristic, complemented
1042#428C22×C8311yescharacteristic, complemented
1043#428C22×C8311yescharacteristic, complemented
1044#428C22×C8311yescharacteristic, complemented
1045#428C22×C8311yescharacteristic, complemented
1046#427C22×C8311yescharacteristic, complemented
1047#427C22×C8311yescharacteristic, complemented
1048C2×#107C22×C8311yescharacteristic, complemented
1049C2×#106C22×C8311yescharacteristic, complemented
1050#419C22×C8311yescharacteristic, complemented
1051#419C22×C8311yescharacteristic, complemented
1052#417C22×C8311yescharacteristic, complemented
1053#417C22×C8311yescharacteristic, complemented
1054#416C22×C8311yescharacteristic, complemented
1055#416C22×C8311yescharacteristic, complemented
1056C2×#102C22×C8311yescharacteristic, complemented
1057C2×#102C22×C8311yescharacteristic, complemented
1058#407C22×C8311yescharacteristic
1059#407C22×C8311yescharacteristic, complemented
1060C2×C22⋊C8C22×C8311yescharacteristic
1061C2×C22⋊C8C22×C8311yescharacteristic, complemented
1062C2×#41—21no—
1063C2×#41C23×C8311yescharacteristic
1064C2×#41C23×C8311yescharacteristic
1065C2×#41C23×C8311yescharacteristic
1066C22×Q8C23×C8311yescharacteristic
1067C22×D4—21no—
1068C22×D4D4×C8311yescharacteristic
1069C22×D4C23×C8311yescharacteristic
1070C23×C4C23×C8311yescharacteristic
1071C23×C4C23×C8311yescharacteristic
1072C2×Q16C23×C8311yescharacteristic
1073C2×Q16C23×C8311yescharacteristic
1074C2×SD16C23×C8311yescharacteristic
1075C2×SD16C23×C8311yescharacteristic
1076C2×SD16C23×C8311yescharacteristic
1077C2×SD16C23×C8311yescharacteristic
1078C2×D8C23×C8311yescharacteristic
1079C2×D8C23×C8311yescharacteristic
1080C2×M16C23×C8311yescharacteristic
1081C2×M16C23×C8311yescharacteristic
1082C2×M16C23×C8311yescharacteristic
1083C2×M16C23×C8311yescharacteristic
1084C22×C8C23×C8311yescharacteristic
1085C22×C8C23×C8311yescharacteristic
1086C22×C8C23×C8311yescharacteristic
1087C22×C8C23×C8311yescharacteristic
1088C4⋊Q8C23×C8311yescharacteristic
1089C4⋊Q8C23×C8311yescharacteristic
1090#126—21no—
1091#126—21no—
1092#126—21no—
1093#126—21no—
1094#126—21no—
1095#126—21no—
1096#126—21no—
1097#126—21no—
1098#126—21no—
1099#126—21no—
1100#126—21no—
1101#126—21no—
1102#125—21no—
1103#125—21no—
1104#125—21no—
1105#125—21no—
1106#125—21no—
1107#125C23×C8311yescharacteristic
1108#125C23×C8311yescharacteristic
1109#125C23×C8311yescharacteristic
1110#125C23×C8311yescharacteristic
1111#124—21no—
1112#124—21no—
1113#124—21no—
1114#124—21no—
1115#124—21no—
1116#124C23×C8311yescharacteristic
1117#124C23×C8311yescharacteristic
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—
1132#123—21no—
1133#123—21no—
1134#123—21no—
1135#123—21no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—21no—
1139C22⋊Q8—21no—
1140C22⋊Q8—21no—
1141C22⋊Q8—21no—
1142C22⋊Q8—21no—
1143C22⋊Q8—21no—
1144C22⋊Q8—21no—
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
1155#121—21no—
1156#121—21no—
1157#121—21no—
1158#121—21no—
1159#121—21no—
1160#121—21no—
1161#121—21no—
1162#121—21no—
1163#121—21no—
1164#121—21no—
1165#121—21no—
1166#121C23×C8311yescharacteristic
1167#121C23×C8311yescharacteristic
1168#121C23×C8311yescharacteristic
1169#121C23×C8311yescharacteristic
1170#121C23×C8311yescharacteristic
1171#121C23×C8311yescharacteristic
1172#121C23×C8311yescharacteristic
1173#121C23×C8311yescharacteristic
1174#121C23×C8311yescharacteristic
1175#121C23×C8311yescharacteristic
1176#120—21no—
1177#120—21no—
1178#120—21no—
1179#120—21no—
1180#120—21no—
1181#120—21no—
1182C4×Q8—21no—
1183C4×Q8—21no—
1184C4×Q8—21no—
1185C4×Q8C23×C8311yescharacteristic
1186C4×Q8C23×C8311yescharacteristic
1187C4×Q8C23×C8311yescharacteristic
1188C4×Q8C23×C8311yescharacteristic
1189C4×D4—21no—
1190C4×D4—21no—
1191C4×D4—21no—
1192C4×D4—21no—
1193C4×D4—21no—
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—21no—
1197C4×D4—21no—
1198C4×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×D4D4×C8311yescharacteristic
1209C4×D4D4×C8311yescharacteristic
1210C4×D4D4×C8311yescharacteristic
1211C4×D4D4×C8311yescharacteristic
1212C4×D4C23×C8311yescharacteristic
1213C4×D4C23×C8311yescharacteristic
1214C4×D4C23×C8311yescharacteristic
1215C4×D4C23×C8311yescharacteristic
1216C4×D4C23×C8311yescharacteristic
1217C4×D4C23×C8311yescharacteristic
1218C4×D4C23×C8311yescharacteristic
1219C4×D4C23×C8311yescharacteristic
1220#117—21no—
1221#117—21no—
1222#117—21no—
1223#117—21no—
1224#117—21no—
1225#117—21no—
1226#117—21no—
1227#117—21no—
1228#117—21no—
1229#117—21no—
1230#117—21no—
1231#117—21no—
1232#117C23×C8311yescharacteristic
1233#117C23×C8311yescharacteristic
1234#117C23×C8311yescharacteristic
1235#117C23×C8311yescharacteristic
1236#117C23×C8311yescharacteristic
1237#117C23×C8311yescharacteristic
1238#117C23×C8311yescharacteristic
1239#117C23×C8311yescharacteristic
1240#117C23×C8311yescharacteristic
1241C2×C4⋊C4—21no—
1242C2×C4⋊C4D4×C8311yescharacteristic
1243C2×C4⋊C4C23×C8311yescharacteristic
1244C2×C4⋊C4C23×C8311yescharacteristic
1245C2×C4⋊C4C23×C8311yescharacteristic
1246C2×C4⋊C4C23×C8311yescharacteristic
1247C2×C4⋊C4C23×C8311yescharacteristic
1248C2×C4⋊C4C23×C8311yescharacteristic
1249C2×C22⋊C4—21no—
1250C2×C22⋊C4—21no—
1251C2×C22⋊C4—21no—
1252C2×C22⋊C4—21no—
1253C2×C22⋊C4—21no—
1254C2×C22⋊C4—21no—
1255C2×C22⋊C4D4×C8311yescharacteristic
1256C2×C22⋊C4D4×C8311yescharacteristic
1257C2×C42—21no—
1258C2×C42—21no—
1259C2×C42—21no—
1260C2×C42C23×C8311yescharacteristic
1261#107C23×C8311yescharacteristic
1262#107C23×C8311yescharacteristic
1263#107C23×C8311yescharacteristic
1264#107C23×C8311yescharacteristic
1265#107C23×C8311yescharacteristic
1266#107C23×C8311yescharacteristic
1267#107C23×C8311yescharacteristic
1268#107C23×C8311yescharacteristic
1269#107C23×C8311yescharacteristic
1270#107C23×C8311yescharacteristic
1271#107C23×C8311yescharacteristic
1272#107C23×C8311yescharacteristic
1273#106C23×C8311yescharacteristic
1274#106C23×C8311yescharacteristic
1275#106C23×C8311yescharacteristic
1276#106C23×C8311yescharacteristic
1277#106C23×C8311yescharacteristic
1278#106C23×C8311yescharacteristic
1279#106C23×C8311yescharacteristic
1280#106C23×C8311yescharacteristic
1281#106C23×C8311yescharacteristic
1282#106C23×C8311yescharacteristic
1283#106C23×C8311yescharacteristic
1284#106C23×C8311yescharacteristic
1285C4⋊C8C23×C8311yescharacteristic
1286C4⋊C8C23×C8311yescharacteristic
1287C4⋊C8C23×C8311yescharacteristic
1288C4⋊C8C23×C8311yescharacteristic
1289#103C23×C8311yescharacteristic
1290#103C23×C8311yescharacteristic
1291#103C23×C8311yescharacteristic
1292#103C23×C8311yescharacteristic
1293#103C23×C8311yescharacteristic
1294#103C23×C8311yescharacteristic
1295#103C23×C8311yescharacteristic
1296#103C23×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#102C23×C8311yescharacteristic
1306#102C23×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
1321C22⋊C8C23×C8311yescharacteristic
1322C22⋊C8C23×C8311yescharacteristic
1323C22⋊C8C23×C8311yescharacteristic
1324C22⋊C8C23×C8311yescharacteristic
1325C22⋊C8C23×C8311yescharacteristic
1326C22⋊C8C23×C8311yescharacteristic
1327C22⋊C8C23×C8311yescharacteristic
1328C22⋊C8C23×C8311yescharacteristic
1329C22⋊C8C23×C8311yescharacteristic
1330C22⋊C8C23×C8311yescharacteristic
1331C22⋊C8C23×C8311yescharacteristic
1332C22⋊C8C23×C8311yescharacteristic
1333#97C23×C8311yescharacteristic
1334#97C23×C8311yescharacteristic
1335C4×C8C23×C8311yescharacteristic
1336C4×C8C23×C8311yescharacteristic
1337C24—21no—
1338C24C2×D4×C8311yescharacteristic
1339C24C2×D4×C8311yescharacteristic
1340#41—41no—
1341#41—41no—
1342#41—41no—
1343#41—41no—
1344#41—41no—
1345#41—41no—
1346#41—44no—
1347C2×Q8—21no—
1348C2×Q8—21no—
1349C2×Q8—21no—
1350C2×Q8—41no—
1351C2×Q8—41no—
1352C2×Q8C24×C8311yescharacteristic
1353C2×Q8C24×C8311yescharacteristic
1354C2×Q8C24×C8311yescharacteristic
1355C2×D4—21no—
1356C2×D4—21no—
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—21no—
1366C2×D4—21no—
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—41no—
1370C2×D4—41no—
1371C2×D4—42no—
1372C2×D4—44no—
1373C2×D4C2×D4×C8311yescharacteristic
1374C2×D4C2×D4×C8311yescharacteristic
1375C2×D4C2×D4×C8311yescharacteristic
1376C2×D4C2×D4×C8311yescharacteristic
1377C2×D4C24×C8311yescharacteristic
1378C2×D4C24×C8311yescharacteristic
1379C2×D4C24×C8311yescharacteristic
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—21no—
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—41no—
1395C22×C4—41no—
1396C22×C4—41no—
1397C22×C4—41no—
1398C22×C4C2×D4×C8311yescharacteristic
1399C22×C4C2×D4×C8311yescharacteristic
1400C22×C4C2×D4×C8311yescharacteristic
1401C22×C4C2×D4×C8311yescharacteristic
1402C22×C4C2×D4×C8311yescharacteristic
1403C22×C4C2×D4×C8311yescharacteristic
1404C22×C4C2×D4×C8311yescharacteristic
1405C22×C4C2×D4×C8311yescharacteristic
1406C22×C4C24×C8311yescharacteristic
1407C22×C4C24×C8311yescharacteristic
1408C22×C4C24×C8311yescharacteristic
1409C22×C4C24×C8311yescharacteristic
1410C22×C4C24×C8311yescharacteristic
1411Q16—41no—
1412Q16—41no—
1413SD16—41no—
1414SD16—41no—
1415SD16—41no—
1416SD16—41no—
1417D8—41no—
1418D8—41no—
1419M16—41no—
1420M16—41no—
1421M16—41no—
1422M16—41no—
1423C2×C8—41no—
1424C2×C8—41no—
1425C2×C8—41no—
1426C2×C8—41no—
1427C2×C8C24×C8311yescharacteristic
1428C2×C8C24×C8311yescharacteristic
1429C2×C8C24×C8311yescharacteristic
1430C2×C8C24×C8311yescharacteristic
1431C2×C8C24×C8311yescharacteristic
1432C2×C8C24×C8311yescharacteristic
1433C2×C8C24×C8311yescharacteristic
1434C2×C8C24×C8311yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊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⋊C4C2×D4×C8311yescharacteristic
1466C4⋊C4C2×D4×C8311yescharacteristic
1467C4⋊C4C2×D4×C8311yescharacteristic
1468C4⋊C4C2×D4×C8311yescharacteristic
1469C4⋊C4C24×C8311yescharacteristic
1470C4⋊C4C24×C8311yescharacteristic
1471C4⋊C4C24×C8311yescharacteristic
1472C4⋊C4C24×C8311yescharacteristic
1473C4⋊C4C24×C8311yescharacteristic
1474C4⋊C4C24×C8311yescharacteristic
1475C4⋊C4C24×C8311yescharacteristic
1476C4⋊C4C24×C8311yescharacteristic
1477C4⋊C4C24×C8311yescharacteristic
1478C4⋊C4C24×C8311yescharacteristic
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊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⋊C4C2×D4×C8311yescharacteristic
1517C22⋊C4C2×D4×C8311yescharacteristic
1518C22⋊C4C2×D4×C8311yescharacteristic
1519C22⋊C4C2×D4×C8311yescharacteristic
1520C22⋊C4C2×D4×C8311yescharacteristic
1521C22⋊C4C2×D4×C8311yescharacteristic
1522C22⋊C4C2×D4×C8311yescharacteristic
1523C22⋊C4C2×D4×C8311yescharacteristic
1524C42—21no—
1525C42—21no—
1526C42—21no—
1527C42—21no—
1528C42—21no—
1529C42—21no—
1530C42—21no—
1531C42—21no—
1532C42—21no—
1533C42—21no—
1534C42—21no—
1535C42—21no—
1536C42—21no—
1537C42C2×D4×C8311yescharacteristic
1538C42C2×D4×C8311yescharacteristic
1539C42C24×C8311yescharacteristic
1540C42C24×C8311yescharacteristic
1541C23—22no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—41no—
1546C23—41no—
1547C23—41no—
1548C23—41no—
1549C23—41no—
1550C23—42no—
1551C23—81no—
1552C23—81no—
1553C23C22×D4×C8311yescharacteristic
1554C23C22×D4×C8311yescharacteristic
1555C23C22×D4×C8311yescharacteristic
1556C23C22×D4×C8311yescharacteristic
1557C23C22×D4×C8311yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—21no—
1562Q8—21no—
1563Q8—21no—
1564Q8—42no—
1565Q8—81no—
1566Q8—81no—
1567D4—22no—
1568D4—22no—
1569D4—21no—
1570D4—21no—
1571D4—21no—
1572D4—21no—
1573D4—21no—
1574D4—21no—
1575D4—41no—
1576D4—41no—
1577D4—42no—
1578D4—42no—
1579D4—42no—
1580D4—42no—
1581D4—42no—
1582D4—42no—
1583D4—42no—
1584D4—81no—
1585D4—81no—
1586D4—81no—
1587D4—81no—
1588D4—81no—
1589D4—81no—
1590D4—81no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—41no—
1615C2×C4—41no—
1616C2×C4—41no—
1617C2×C4—41no—
1618C2×C4—41no—
1619C2×C4—41no—
1620C2×C4—41no—
1621C2×C4—41no—
1622C2×C4—42no—
1623C2×C4—42no—
1624C2×C4—42no—
1625C2×C4—42no—
1626C2×C4—42no—
1627C2×C4—81no—
1628C2×C4—81no—
1629C2×C4—81no—
1630C2×C4—81no—
1631C2×C4—81no—
1632C2×C4—81no—
1633C2×C4—81no—
1634C2×C4—81no—
1635C2×C4—81no—
1636C2×C4C22×D4×C8311yescharacteristic
1637C2×C4C22×D4×C8311yescharacteristic
1638C2×C4C22×D4×C8311yescharacteristic
1639C2×C4C22×D4×C8311yescharacteristic
1640C2×C4C22×D4×C8311yescharacteristic
1641C2×C4C22×D4×C8311yescharacteristic
1642C2×C4C22×D4×C8311yescharacteristic
1643C2×C4C22×D4×C8311yescharacteristic
1644C2×C4C22×D4×C8311yescharacteristic
1645C2×C4C25×C8311yescharacteristic
1646C8—21no—
1647C8—21no—
1648C8—21no—
1649C8—21no—
1650C8—21no—
1651C8—21no—
1652C8—21no—
1653C8—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—21no—
1659C22—21no—
1660C22—21no—
1661C22—21no—
1662C22—21no—
1663C22—21no—
1664C22—21no—
1665C22—21no—
1666C22—21no—
1667C22—21no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—82no—
1678C22—82no—
1679C22—162no—
1680C22#575×C8312yes—
1681C22C23×D4×C8311yescharacteristic
1682C4—21no—
1683C4—21no—
1684C4—21no—
1685C4—21no—
1686C4—21no—
1687C4—21no—
1688C4—21no—
1689C4—21no—
1690C4—21no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4#585×C8311yescharacteristic
1705C4#585×C8311yescharacteristic
1706C2—22no—
1707C2—41no—
1708C2—41no—
1709C2—41no—
1710C2—41no—
1711C2—81no—
1712C2—81no—
1713C2—81no—
1714C2C83×#348511yescharacteristic
1715C2C2×#575×C8311yescharacteristic
1716C2C83×#358411yescharacteristic
subgroupG/H
center, socleC22×C83C23×D4
commutator, Frattini, cosocleC2×C4C25×C83
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C83 ◁ C2×C4×D4×C83 ◁ G

Complements

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

NH ≅ G/Ntype
1. C83×#3505C2semidirect
2. C83×#3475C2semidirect
3. C83×#3355C2semidirect
4. C83×#3351C2semidirect
5. C83×#3350C2semidirect
6. C83×#3347C2semidirect
7. C83×#3344C2semidirect
8. C83×#3343C2semidirect
9. C83×#3337C2semidirect
10. C83×#3336C2semidirect
11. C83×#3327C2semidirect
12. C83×#3326C2semidirect
13. C83×#3321C2semidirect
14. C83×#3314C2semidirect
15. C83×#3313C2semidirect
16. C83×#3306C2semidirect
17. C83×#3297C2semidirect
18. C83×#3296C2semidirect
19. C83×#3240C2semidirect
20. C83×#3233C2semidirect
21. C83×#3197C2semidirect
22. C83×#3194C2semidirect
23. C83×#3191C2semidirect
24. C83×#3190C2semidirect
25. C83×#3111C2semidirect
26. C83×#3102C2semidirect
27. C83×#3095C2semidirect
28. C83×#3093C2semidirect
29. C83×#3091C2semidirect
30. C2×#482×C83C2semidirect
31. C83×#2974C2semidirect
32. #556×C83C22semidirect
33. #555×C83C22semidirect
40. #553×C83C22semidirect
45. #552×C83C22semidirect
59. #533×C83C22semidirect
68. #525×C83C22semidirect
73. C4×#41×C83C22semidirect
76. C2×#117×C83C22semidirect
77. #501×C83C22semidirect
78. #501×C83C22semidirect
79. #499×C83C22semidirect
80. #499×C83C22semidirect
81. #489×C83C22semidirect
82. #489×C83C22semidirect
83. #488×C83C22semidirect
84. #488×C83C22semidirect
85. #485×C83C22semidirect
86. #485×C83C22semidirect
87. #485×C83C22semidirect
88. #485×C83C22semidirect
89. #485×C83C22semidirect
90. #485×C83C22semidirect
91. #485×C83C22semidirect
92. #485×C83C22semidirect
93. #485×C83C22semidirect
94. #485×C83C22semidirect
95. #484×C83C22semidirect
96. #484×C83C22semidirect
97. #484×C83C22semidirect
98. #483×C83C22semidirect
99. #483×C83C22semidirect
100. #483×C83C22semidirect
101. #483×C83C22semidirect
102. #483×C83C22semidirect
109. #482×C83C22semidirect
110. #482×C83C22semidirect
111. #482×C83C22semidirect
112. #482×C83C22semidirect
113. #482×C83C22semidirect
114. #482×C83C22semidirect
115. #482×C83C22semidirect
116. #482×C83C22semidirect
117. #481×C83C22semidirect
118. #480×C83C22semidirect
119. #480×C83C22semidirect
120. #480×C83C22semidirect
121. #479×C83C22semidirect
122. #479×C83C22semidirect
123. #479×C83C22semidirect
124. #479×C83C22semidirect
125. #478×C83C22semidirect
126. #478×C83C22semidirect
127. #478×C83C22semidirect
128. #478×C83C22semidirect
129. #477×C83C22semidirect
130. #476×C83C22semidirect
131. #475×C83C22semidirect
132. #474×C83C22semidirect
133. #470×C83C22semidirect
134. #469×C83C22semidirect
135. #469×C83C22semidirect
136. #469×C83C22semidirect
137. #468×C83C22semidirect
138. #468×C83C22semidirect
139. #468×C83C22semidirect
140. #468×C83C22semidirect
141. #467×C83C22semidirect
142. #467×C83C22semidirect
143. #467×C83C22semidirect
144. #466×C83C22semidirect
145. #465×C83C22semidirect
146. #465×C83C22semidirect
147. #465×C83C22semidirect
148. #465×C83C22semidirect
149. #464×C83C22semidirect
150. #464×C83C22semidirect
151. #463×C83C22semidirect
152. #463×C83C22semidirect
153. #452×C83C22semidirect
154. #452×C83C22semidirect
155. #452×C83C22semidirect
156. #452×C83C22semidirect
157. #451×C83C22semidirect
158. #450×C83C22semidirect
161. #449×C83C22semidirect
162. #449×C83C22semidirect
163. #448×C83C22semidirect
164. #447×C83C22semidirect
165. #442×C83C22semidirect
166. #441×C83C22semidirect
167. #440×C83C22semidirect
168. #440×C83C22semidirect
169. C4×Q16×C83C22semidirect
170. C4×SD16×C83C22semidirect
171. C4×SD16×C83C22semidirect
172. C4×D8×C83C22semidirect
173. #436×C83C22semidirect
174. #436×C83C22semidirect
177. #435×C83C22semidirect
178. #435×C83C22semidirect
181. #432×C83C22semidirect
182. #431×C83C22semidirect
183. #428×C83C22semidirect
184. #428×C83C22semidirect
185. #428×C83C22semidirect
186. #428×C83C22semidirect
187. #427×C83C22semidirect
188. #427×C83C22semidirect
189. C2×#107×C83C22semidirect
190. C2×#106×C83C22semidirect
191. #419×C83C22semidirect
192. #419×C83C22semidirect
193. #417×C83C22semidirect
194. #417×C83C22semidirect
195. #416×C83C22semidirect
196. #416×C83C22semidirect
197. C2×#102×C83C22semidirect
198. C2×#102×C83C22semidirect
200. #407×C83C22semidirect
202. C2×C22⋊C8×C83C22semidirect
847. #61732C83direct (N × H)
859. #3505C2×C83semidirect
860. #3475C2×C83semidirect
861. #3355C2×C83semidirect
862. #3351C2×C83semidirect
863. #3350C2×C83semidirect
864. #3347C2×C83semidirect
865. #3344C2×C83semidirect
866. #3343C2×C83semidirect
867. #3337C2×C83semidirect
868. #3336C2×C83semidirect
869. #3327C2×C83semidirect
870. #3326C2×C83semidirect
871. #3321C2×C83semidirect
872. #3314C2×C83semidirect
873. #3313C2×C83semidirect
874. #3306C2×C83semidirect
875. #3297C2×C83semidirect
876. #3296C2×C83semidirect
877. #3240C2×C83semidirect
878. #3233C2×C83semidirect
879. #3197C2×C83semidirect
880. #3194C2×C83semidirect
881. #3191C2×C83semidirect
882. #3190C2×C83semidirect
883. #3111C2×C83semidirect
884. #3102C2×C83semidirect
885. #3095C2×C83semidirect
886. #3093C2×C83semidirect
887. #3091C2×C83semidirect
888. C2×#482C2×C83semidirect
889. #2974C2×C83semidirect
890. C83#61732direct (N × H)
891. #556C22×C83semidirect
892. #555C22×C83semidirect
899. #553C22×C83semidirect
904. #552C22×C83semidirect
918. #533C22×C83semidirect
927. #525C22×C83semidirect
932. C4×#41C22×C83semidirect
935. C2×#117C22×C83semidirect
936. #501C22×C83semidirect
937. #501C22×C83semidirect
938. #499C22×C83semidirect
939. #499C22×C83semidirect
940. #489C22×C83semidirect
941. #489C22×C83semidirect
942. #488C22×C83semidirect
943. #488C22×C83semidirect
944. #485C22×C83semidirect
945. #485C22×C83semidirect
946. #485C22×C83semidirect
947. #485C22×C83semidirect
948. #485C22×C83semidirect
949. #485C22×C83semidirect
950. #485C22×C83semidirect
951. #485C22×C83semidirect
952. #485C22×C83semidirect
953. #485C22×C83semidirect
954. #484C22×C83semidirect
955. #484C22×C83semidirect
956. #484C22×C83semidirect
957. #483C22×C83semidirect
958. #483C22×C83semidirect
959. #483C22×C83semidirect
960. #483C22×C83semidirect
961. #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. #481C22×C83semidirect
977. #480C22×C83semidirect
978. #480C22×C83semidirect
979. #480C22×C83semidirect
980. #479C22×C83semidirect
981. #479C22×C83semidirect
982. #479C22×C83semidirect
983. #479C22×C83semidirect
984. #478C22×C83semidirect
985. #478C22×C83semidirect
986. #478C22×C83semidirect
987. #478C22×C83semidirect
988. #477C22×C83semidirect
989. #476C22×C83semidirect
990. #475C22×C83semidirect
991. #474C22×C83semidirect
992. #470C22×C83semidirect
993. #469C22×C83semidirect
994. #469C22×C83semidirect
995. #469C22×C83semidirect
996. #468C22×C83semidirect
997. #468C22×C83semidirect
998. #468C22×C83semidirect
999. #468C22×C83semidirect
1000. #467C22×C83semidirect
1001. #467C22×C83semidirect
1002. #467C22×C83semidirect
1003. #466C22×C83semidirect
1004. #465C22×C83semidirect
1005. #465C22×C83semidirect
1006. #465C22×C83semidirect
1007. #465C22×C83semidirect
1008. #464C22×C83semidirect
1009. #464C22×C83semidirect
1010. #463C22×C83semidirect
1011. #463C22×C83semidirect
1012. #452C22×C83semidirect
1013. #452C22×C83semidirect
1014. #452C22×C83semidirect
1015. #452C22×C83semidirect
1016. #451C22×C83semidirect
1017. #450C22×C83semidirect
1020. #449C22×C83semidirect
1021. #449C22×C83semidirect
1022. #448C22×C83semidirect
1023. #447C22×C83semidirect
1024. #442C22×C83semidirect
1025. #441C22×C83semidirect
1026. #440C22×C83semidirect
1027. #440C22×C83semidirect
1028. C4×Q16C22×C83semidirect
1029. C4×SD16C22×C83semidirect
1030. C4×SD16C22×C83semidirect
1031. C4×D8C22×C83semidirect
1032. #436C22×C83semidirect
1033. #436C22×C83semidirect
1036. #435C22×C83semidirect
1037. #435C22×C83semidirect
1040. #432C22×C83semidirect
1041. #431C22×C83semidirect
1042. #428C22×C83semidirect
1043. #428C22×C83semidirect
1044. #428C22×C83semidirect
1045. #428C22×C83semidirect
1046. #427C22×C83semidirect
1047. #427C22×C83semidirect
1048. C2×#107C22×C83semidirect
1049. C2×#106C22×C83semidirect
1050. #419C22×C83semidirect
1051. #419C22×C83semidirect
1052. #417C22×C83semidirect
1053. #417C22×C83semidirect
1054. #416C22×C83semidirect
1055. #416C22×C83semidirect
1056. C2×#102C22×C83semidirect
1057. C2×#102C22×C83semidirect
1059. #407C22×C83semidirect
1061. 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×#35052
C83×#34752
C83×#33552
C83×#33512
C83×#33502
C83×#33472
C83×#33442
C83×#33432
C83×#33372
C83×#33362
C83×#33272
C83×#33262
C83×#33212
C83×#33142
C83×#33132
C83×#33062
C83×#32972
C83×#32962
C83×#32402
C83×#32332
C83×#31972
C83×#31942
C83×#31912
C83×#31902
C83×#31112
C83×#31022
C83×#30952
C83×#30932
C83×#30912
C2×#482×C832
C83×#29742
#6173283