Finite Group Databasebeta

← C83×#62155 #35289979

Subgroups — C83×#62155 #35289979

Order 21248.

1754 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C83×#3544C211yesmaximal, characteristic, complemented
2C83×#3513C211yesmaximal, characteristic, complemented
3C83×#3389C211yesmaximal, characteristic, complemented
4C83×#3385C211yesmaximal, characteristic, complemented
5C83×#3375C211yesmaximal, characteristic, complemented
6C83×#3370C211yesmaximal, characteristic, complemented
7C83×#3347C211yesmaximal, characteristic, complemented
8C83×#3346C211yesmaximal, characteristic, complemented
9C83×#3343C211yesmaximal, characteristic, complemented
10C83×#3343C211yesmaximal, characteristic, complemented
11C83×#3336C211yesmaximal, characteristic, complemented
12C83×#3334C211yesmaximal, characteristic, complemented
13C83×#3319C211yesmaximal, characteristic, complemented
14C83×#3314C211yesmaximal, characteristic, complemented
15C83×#3310C211yesmaximal, characteristic, complemented
16C83×#3306C211yesmaximal, characteristic, complemented
17C83×#3296C211yesmaximal, characteristic, complemented
18C83×#3294C211yesmaximal, characteristic, complemented
19C83×#3262C211yesmaximal, characteristic, complemented
20C83×#3257C211yesmaximal, characteristic, complemented
21C83×#3250C211yesmaximal, characteristic, complemented
22C83×#3243C211yesmaximal, characteristic, complemented
23C83×#3241C211yesmaximal, characteristic, complemented
24C83×#3238C211yesmaximal, characteristic, complemented
25C83×#3124C211yesmaximal, characteristic, complemented
26C83×#3118C211yesmaximal, characteristic, complemented
27C83×#3114C211yesmaximal, characteristic, complemented
28C83×#3083C211yesmaximal, characteristic, complemented
29C83×#3081C211yesmaximal, characteristic, complemented
30C2×#474×C83C211yesmaximal, characteristic, complemented
31C83×#2992C211yesmaximal, characteristic, complemented
32#563×C83—21no—
33#563×C83—21no—
34#559×C83C2211yescharacteristic
35Q82×C83C2211yescharacteristic, complemented
36#555×C83C2211yescharacteristic, complemented
37#554×C83C2211yescharacteristic
38#554×C83C2211yescharacteristic, complemented
39#554×C83C2211yescharacteristic, complemented
40#553×C83—21no—
41#553×C83C2211yescharacteristic
42#552×C83—21no—
43#552×C83C2211yescharacteristic
44#552×C83C2211yescharacteristic
45#552×C83C2211yescharacteristic, complemented
46#551×C83—21no—
47#551×C83—21no—
48#547×C83—21no—
49#547×C83C2211yescharacteristic
50#547×C83C2211yescharacteristic
51#547×C83C2211yescharacteristic, complemented
52#546×C83—21no—
53#546×C83C2211yescharacteristic
54#546×C83C2211yescharacteristic
55D42×C83C2211yescharacteristic
56#544×C83—21no—
57#544×C83C2211yescharacteristic, complemented
58#544×C83C2211yescharacteristic, complemented
59#542×C83—21no—
60#542×C83C2211yescharacteristic
61#542×C83C2211yescharacteristic, complemented
62#542×C83C2211yescharacteristic, complemented
63#540×C83C2211yescharacteristic
64#539×C83—21no—
65#538×C83—21no—
66#536×C83—21no—
67#536×C83—21no—
68C2×C4⋊Q8×C83C2211yescharacteristic, complemented
69#529×C83C2211yescharacteristic
70#529×C83C2211yescharacteristic
71#529×C83C2211yescharacteristic, complemented
72#525×C83—21no—
73C2×#123×C83—21no—
74#520×C83C2211yescharacteristic
75#518×C83C2211yescharacteristic
76C2×C4×D4×C83C2211yescharacteristic
77#501×C83C2211yescharacteristic, complemented
78#501×C83C2211yescharacteristic, complemented
79#501×C83C2211yescharacteristic, complemented
80#501×C83C2211yescharacteristic, complemented
81#500×C83C2211yescharacteristic, complemented
82#499×C83C2211yescharacteristic, complemented
83#490×C83C2211yescharacteristic
84#489×C83C2211yescharacteristic, complemented
85#489×C83C2211yescharacteristic, complemented
86#489×C83C2211yescharacteristic, complemented
87#488×C83C2211yescharacteristic, complemented
88#486×C83C2211yescharacteristic
89#485×C83C2211yescharacteristic, complemented
90#485×C83C2211yescharacteristic, complemented
91#484×C83C2211yescharacteristic, complemented
92#484×C83C2211yescharacteristic, complemented
93#483×C83C2211yescharacteristic, complemented
94#483×C83C2211yescharacteristic, complemented
95#483×C83C2211yescharacteristic, complemented
96#482×C83C2211yescharacteristic
97#482×C83C2211yescharacteristic, complemented
98#482×C83C2211yescharacteristic, complemented
99#482×C83C2211yescharacteristic, complemented
100#481×C83C2211yescharacteristic, complemented
101#480×C83C2211yescharacteristic
102#480×C83C2211yescharacteristic
103#480×C83C2211yescharacteristic
104#480×C83C2211yescharacteristic, complemented
105#480×C83C2211yescharacteristic, complemented
106#480×C83C2211yescharacteristic, complemented
107#479×C83C2211yescharacteristic, complemented
108#479×C83C2211yescharacteristic, complemented
109#479×C83C2211yescharacteristic, complemented
110#479×C83C2211yescharacteristic, complemented
111#478×C83C2211yescharacteristic
112#478×C83C2211yescharacteristic
113#478×C83C2211yescharacteristic
114#478×C83C2211yescharacteristic, complemented
115#478×C83C2211yescharacteristic, complemented
116#478×C83C2211yescharacteristic, complemented
117#478×C83C2211yescharacteristic, complemented
118#478×C83C2211yescharacteristic, complemented
119#477×C83C2211yescharacteristic, complemented
120#477×C83C2211yescharacteristic, complemented
121#477×C83C2211yescharacteristic, complemented
122#477×C83C2211yescharacteristic, complemented
123#476×C83C2211yescharacteristic
124#476×C83C2211yescharacteristic, complemented
125#476×C83C2211yescharacteristic, complemented
126#474×C83C2211yescharacteristic
127#474×C83C2211yescharacteristic
128#474×C83C2211yescharacteristic
129#474×C83C2211yescharacteristic
130#474×C83C2211yescharacteristic
131#474×C83C2211yescharacteristic, complemented
132#474×C83C2211yescharacteristic, complemented
133#474×C83C2211yescharacteristic, complemented
134#474×C83C2211yescharacteristic, complemented
135#474×C83C2211yescharacteristic, complemented
136#474×C83C2211yescharacteristic, complemented
137#469×C83C2211yescharacteristic, complemented
138#468×C83C2211yescharacteristic
139#468×C83C2211yescharacteristic, complemented
140#468×C83C2211yescharacteristic, complemented
141#467×C83C2211yescharacteristic, complemented
142#467×C83C2211yescharacteristic, complemented
143#466×C83C2211yescharacteristic
144#466×C83C2211yescharacteristic
145#466×C83C2211yescharacteristic, complemented
146#465×C83C2211yescharacteristic
147#465×C83C2211yescharacteristic, complemented
148#465×C83C2211yescharacteristic, complemented
149#464×C83C2211yescharacteristic, complemented
150#464×C83C2211yescharacteristic, complemented
151#464×C83C2211yescharacteristic, complemented
152#463×C83C2211yescharacteristic
153#463×C83C2211yescharacteristic, complemented
154#463×C83C2211yescharacteristic, complemented
155#463×C83C2211yescharacteristic, complemented
156#463×C83C2211yescharacteristic, complemented
157#460×C83C2211yescharacteristic
158#459×C83C2211yescharacteristic
159#452×C83C2211yescharacteristic
160#450×C83C2211yescharacteristic
161#450×C83C2211yescharacteristic
162#449×C83C2211yescharacteristic
163#447×C83C2211yescharacteristic
164#447×C83C2211yescharacteristic
165#446×C83C2211yescharacteristic, complemented
166#446×C83C2211yescharacteristic, complemented
167#442×C83C2211yescharacteristic
168#442×C83C2211yescharacteristic
169#442×C83C2211yescharacteristic, complemented
170#440×C83C2211yescharacteristic
171#440×C83C2211yescharacteristic
172#440×C83C2211yescharacteristic, complemented
173#440×C83C2211yescharacteristic, complemented
174#440×C83C2211yescharacteristic, complemented
175C4×Q16×C83C2211yescharacteristic, complemented
176C4×SD16×C83C2211yescharacteristic
177C4×D8×C83C2211yescharacteristic
178C4×D8×C83C2211yescharacteristic, complemented
179#435×C83C2211yescharacteristic
180#435×C83C2211yescharacteristic, complemented
181#435×C83C2211yescharacteristic, complemented
182#435×C83C2211yescharacteristic, complemented
183C8×D4×C83C2211yescharacteristic
184C8×D4×C83C2211yescharacteristic, complemented
185#433×C83C2211yescharacteristic, complemented
186#433×C83C2211yescharacteristic, complemented
187#432×C83C2211yescharacteristic, complemented
188#428×C83C2211yescharacteristic, complemented
189#428×C83C2211yescharacteristic, complemented
190#427×C83C2211yescharacteristic, complemented
191C2×#107×C83C2211yescharacteristic, complemented
192C2×#107×C83C2211yescharacteristic, complemented
193C2×#107×C83C2211yescharacteristic, complemented
194#424×C83C2211yescharacteristic, complemented
195#424×C83C2211yescharacteristic, complemented
196C2×C4⋊C8×C83C2211yescharacteristic, complemented
197#418×C83C2211yescharacteristic
198#417×C83C2211yescharacteristic
199#416×C83C2211yescharacteristic
200C2×#102×C83C2211yescharacteristic
201C2×#102×C83C2211yescharacteristic
202C2×#102×C83C2211yescharacteristic
203C2×#41×C83—21no—
204C2×#41×C83—21no—
205C2×#41×C83—21no—
206C2×#41×C83C2311yescharacteristic
207C22×Q8×C83—21no—
208C22×D4×C83—21no—
209C22×D4×C83C2311yescharacteristic
210C22×D4×C83C2311yescharacteristic
211C23×C4×C83—21no—
212C2×Q16×C83C2311yescharacteristic
213C2×SD16×C83C2311yescharacteristic
214C2×SD16×C83C2311yescharacteristic
215C2×SD16×C83C2311yescharacteristic
216C2×SD16×C83C2311yescharacteristic
217C2×D8×C83C2311yescharacteristic
218C2×D8×C83C2311yescharacteristic
219C2×D8×C83C2311yescharacteristic
220C2×M16×C83C2311yescharacteristic
221C2×M16×C83C2311yescharacteristic
222C22×C8×C83C2311yescharacteristic
223C22×C8×C83C2311yescharacteristic
224C22×C8×C83C2311yescharacteristic
225C22×C8×C83C2311yescharacteristic
226C4⋊Q8×C83—21no—
227C4⋊Q8×C83—21no—
228C4⋊Q8×C83—21no—
229C4⋊Q8×C83—21no—
230C4⋊Q8×C83—21no—
231C4⋊Q8×C83—21no—
232C4⋊Q8×C83—21no—
233C4⋊Q8×C83C2311yescharacteristic
234C4⋊Q8×C83C2311yescharacteristic
235C4⋊Q8×C83C2311yescharacteristic
236C4⋊Q8×C83C2311yescharacteristic
237C4⋊Q8×C83C2311yescharacteristic
238C4⋊Q8×C83C2311yescharacteristic
239C4⋊Q8×C83C2311yescharacteristic
240#127×C83C2311yescharacteristic
241#126×C83—21no—
242#126×C83—21no—
243#126×C83—21no—
244#126×C83—21no—
245#126×C83—21no—
246#126×C83—21no—
247#126×C83—21no—
248#126×C83—21no—
249#126×C83—21no—
250#126×C83D411yescharacteristic
251#126×C83D411yescharacteristic
252#125×C83—21no—
253#125×C83—21no—
254#125×C83—21no—
255#125×C83—21no—
256#125×C83—21no—
257#125×C83—21no—
258#125×C83D411yescharacteristic
259#125×C83C2311yescharacteristic
260#125×C83C2311yescharacteristic
261#125×C83C2311yescharacteristic
262#125×C83C2311yescharacteristic
263#125×C83C2311yescharacteristic
264#124×C83—21no—
265#124×C83—21no—
266#124×C83—21no—
267#124×C83—21no—
268#124×C83—21no—
269#124×C83—21no—
270#124×C83D411yescharacteristic
271#124×C83C2311yescharacteristic
272#124×C83C2311yescharacteristic
273#124×C83C2311yescharacteristic
274#123×C83—21no—
275#123×C83—21no—
276#123×C83—21no—
277#123×C83—21no—
278#123×C83—21no—
279#123×C83—21no—
280#123×C83—21no—
281#123×C83—21no—
282#123×C83—21no—
283#123×C83—21no—
284#123×C83—21no—
285#123×C83—21no—
286#123×C83—21no—
287#123×C83—21no—
288#123×C83—21no—
289#123×C83—21no—
290#123×C83—21no—
291#123×C83—21no—
292#123×C83—21no—
293#123×C83—21no—
294#123×C83—21no—
295#123×C83D411yescharacteristic
296#123×C83D411yescharacteristic
297C22⋊Q8×C83—21no—
298C22⋊Q8×C83—21no—
299C22⋊Q8×C83—21no—
300C22⋊Q8×C83—21no—
301C22⋊Q8×C83—21no—
302C22⋊Q8×C83—21no—
303C22⋊Q8×C83—21no—
304C22⋊Q8×C83—21no—
305C22⋊Q8×C83—21no—
306C22⋊Q8×C83—21no—
307C22⋊Q8×C83—21no—
308C22⋊Q8×C83—21no—
309C22⋊Q8×C83—21no—
310C22⋊Q8×C83—21no—
311C22⋊Q8×C83—21no—
312C22⋊Q8×C83—21no—
313C22⋊Q8×C83—21no—
314C22⋊Q8×C83—21no—
315C22⋊Q8×C83D411yescharacteristic
316C22⋊Q8×C83C2311yescharacteristic
317C22⋊Q8×C83C2311yescharacteristic
318C22⋊Q8×C83C2311yescharacteristic
319C22⋊Q8×C83C2311yescharacteristic
320C22⋊Q8×C83C2311yescharacteristic
321#121×C83—21no—
322#121×C83—21no—
323#121×C83—21no—
324#121×C83—21no—
325#121×C83—21no—
326#121×C83—21no—
327#121×C83—21no—
328#121×C83D411yescharacteristic
329#121×C83C2311yescharacteristic
330#121×C83C2311yescharacteristic
331#121×C83C2311yescharacteristic
332#121×C83C2311yescharacteristic
333#121×C83C2311yescharacteristic
334#121×C83C2311yescharacteristic
335#121×C83C2311yescharacteristic
336#120×C83—21no—
337#120×C83—21no—
338#120×C83—21no—
339#120×C83—21no—
340C4×Q8×C83—21no—
341C4×Q8×C83C2311yescharacteristic
342C4×Q8×C83C2311yescharacteristic
343C4×Q8×C83C2311yescharacteristic
344C4×Q8×C83C2311yescharacteristic
345C4×Q8×C83C2311yescharacteristic
346C4×Q8×C83C2311yescharacteristic
347C4×D4×C83—21no—
348C4×D4×C83—21no—
349C4×D4×C83—21no—
350C4×D4×C83—21no—
351C4×D4×C83—21no—
352C4×D4×C83—21no—
353C4×D4×C83—21no—
354C4×D4×C83—21no—
355C4×D4×C83—21no—
356C4×D4×C83—21no—
357C4×D4×C83—21no—
358C4×D4×C83C2311yescharacteristic
359C4×D4×C83C2311yescharacteristic
360C4×D4×C83C2311yescharacteristic
361C4×D4×C83C2311yescharacteristic
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
371C4×D4×C83C2311yescharacteristic
372#117×C83—21no—
373#117×C83—21no—
374#117×C83—21no—
375#117×C83—21no—
376#117×C83—21no—
377#117×C83—21no—
378#117×C83—21no—
379#117×C83C2311yescharacteristic
380#117×C83C2311yescharacteristic
381#117×C83C2311yescharacteristic
382#117×C83C2311yescharacteristic
383#117×C83C2311yescharacteristic
384C2×C4⋊C4×C83—21no—
385C2×C4⋊C4×C83—21no—
386C2×C4⋊C4×C83—21no—
387C2×C4⋊C4×C83—21no—
388C2×C4⋊C4×C83C2311yescharacteristic
389C2×C4⋊C4×C83C2311yescharacteristic
390C2×C4⋊C4×C83C2311yescharacteristic
391C2×C4⋊C4×C83C2311yescharacteristic
392C2×C4⋊C4×C83C2311yescharacteristic
393C2×C4⋊C4×C83C2311yescharacteristic
394C2×C22⋊C4×C83—21no—
395C2×C22⋊C4×C83—21no—
396C2×C22⋊C4×C83—21no—
397C2×C22⋊C4×C83—21no—
398C2×C22⋊C4×C83—21no—
399C2×C42×C83C2311yescharacteristic
400#107×C83C2311yescharacteristic
401#107×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#107×C83C2311yescharacteristic
415#107×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
424C4⋊C8×C83C2311yescharacteristic
425C4⋊C8×C83C2311yescharacteristic
426C4⋊C8×C83C2311yescharacteristic
427C4⋊C8×C83C2311yescharacteristic
428C4⋊C8×C83C2311yescharacteristic
429C4⋊C8×C83C2311yescharacteristic
430C4⋊C8×C83C2311yescharacteristic
431C4⋊C8×C83C2311yescharacteristic
432C4⋊C8×C83C2311yescharacteristic
433C4⋊C8×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#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
462#102×C83C2311yescharacteristic
463#102×C83C2311yescharacteristic
464#102×C83C2311yescharacteristic
465#102×C83C2311yescharacteristic
466C22⋊C8×C83C2311yescharacteristic
467C22⋊C8×C83C2311yescharacteristic
468C22⋊C8×C83C2311yescharacteristic
469C22⋊C8×C83C2311yescharacteristic
470C22⋊C8×C83C2311yescharacteristic
471C22⋊C8×C83C2311yescharacteristic
472#97×C83C2311yescharacteristic
473#97×C83C2311yescharacteristic
474#97×C83C2311yescharacteristic
475#97×C83C2311yescharacteristic
476C4×C8×C83C2311yescharacteristic
477C4×C8×C83C2311yescharacteristic
478C24×C83—21no—
479C24×C83—21no—
480#41×C83—22no—
481#41×C83—41no—
482#41×C83—82no—
483#41×C83—82no—
484#41×C83—82no—
485C2×Q8×C83—21no—
486C2×Q8×C83—21no—
487C2×Q8×C83—21no—
488C2×Q8×C83—21no—
489C2×Q8×C83—21no—
490C2×Q8×C83—21no—
491C2×Q8×C83—21no—
492C2×Q8×C83—82no—
493C2×Q8×C83C2×D411yescharacteristic
494C2×Q8×C83C2411yescharacteristic
495C2×Q8×C83C2411yescharacteristic
496C2×D4×C83—22no—
497C2×D4×C83—22no—
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—82no—
513C2×D4×C83C2×D411yescharacteristic
514C2×D4×C83C2×D411yescharacteristic
515C2×D4×C83C2×D411yescharacteristic
516C2×D4×C83C2411yescharacteristic
517C2×D4×C83C2411yescharacteristic
518C2×D4×C83C2411yescharacteristic
519C2×D4×C83C2411yescharacteristic
520C22×C4×C83—21no—
521C22×C4×C83—21no—
522C22×C4×C83—21no—
523C22×C4×C83—21no—
524C22×C4×C83—21no—
525C22×C4×C83—21no—
526C22×C4×C83—21no—
527C22×C4×C83—21no—
528C22×C4×C83—21no—
529C22×C4×C83—21no—
530C22×C4×C83—21no—
531C22×C4×C83—21no—
532C22×C4×C83—21no—
533C22×C4×C83—21no—
534C22×C4×C83—21no—
535C22×C4×C83—21no—
536C22×C4×C83—21no—
537C22×C4×C83—21no—
538C22×C4×C83—82no—
539C22×C4×C83C2×D411yescharacteristic
540C22×C4×C83C2×D411yescharacteristic
541C22×C4×C83C2411yescharacteristic
542C22×C4×C83C2411yescharacteristic
543C22×C4×C83C2411yescharacteristic
544Q16×C83—41no—
545SD16×C83—22no—
546SD16×C83—41no—
547SD16×C83—41no—
548SD16×C83—41no—
549D8×C83—22no—
550D8×C83—41no—
551D8×C83—41no—
552M16×C83—41no—
553M16×C83—41no—
554C2×C8×C83—41no—
555C2×C8×C83—41no—
556C2×C8×C83—41no—
557C2×C8×C83—41no—
558C2×C8×C83C2411yescharacteristic
559C2×C8×C83C2411yescharacteristic
560C2×C8×C83C2411yescharacteristic
561C2×C8×C83C2411yescharacteristic
562C2×C8×C83C2411yescharacteristic
563C2×C8×C83C2411yescharacteristic
564C2×C8×C83C2411yescharacteristic
565C2×C8×C83C2411yescharacteristic
566C4⋊C4×C83—21no—
567C4⋊C4×C83—21no—
568C4⋊C4×C83—21no—
569C4⋊C4×C83—21no—
570C4⋊C4×C83—21no—
571C4⋊C4×C83—21no—
572C4⋊C4×C83—21no—
573C4⋊C4×C83—21no—
574C4⋊C4×C83—21no—
575C4⋊C4×C83—21no—
576C4⋊C4×C83—21no—
577C4⋊C4×C83—21no—
578C4⋊C4×C83—21no—
579C4⋊C4×C83—21no—
580C4⋊C4×C83—21no—
581C4⋊C4×C83—21no—
582C4⋊C4×C83—21no—
583C4⋊C4×C83—21no—
584C4⋊C4×C83—21no—
585C4⋊C4×C83—21no—
586C4⋊C4×C83—21no—
587C4⋊C4×C83—21no—
588C4⋊C4×C83—21no—
589C4⋊C4×C83—21no—
590C4⋊C4×C83—21no—
591C4⋊C4×C83—21no—
592C4⋊C4×C83—21no—
593C4⋊C4×C83—21no—
594C4⋊C4×C83—21no—
595C4⋊C4×C83—21no—
596C4⋊C4×C83—21no—
597C4⋊C4×C83—21no—
598C4⋊C4×C83—21no—
599C4⋊C4×C83C2×D411yescharacteristic
600C4⋊C4×C83C2×D411yescharacteristic
601C4⋊C4×C83C2×D411yescharacteristic
602C4⋊C4×C83C2×D411yescharacteristic
603C4⋊C4×C83C2×D411yescharacteristic
604C4⋊C4×C83C2×D411yescharacteristic
605C4⋊C4×C83C2×D411yescharacteristic
606C4⋊C4×C83C2×D411yescharacteristic
607C4⋊C4×C83C2×D411yescharacteristic
608C4⋊C4×C83C2×D411yescharacteristic
609C4⋊C4×C83C2411yescharacteristic
610C4⋊C4×C83C2411yescharacteristic
611C4⋊C4×C83C2411yescharacteristic
612C4⋊C4×C83C2411yescharacteristic
613C4⋊C4×C83C2411yescharacteristic
614C4⋊C4×C83C2411yescharacteristic
615C4⋊C4×C83C2411yescharacteristic
616C4⋊C4×C83C2411yescharacteristic
617C4⋊C4×C83C2411yescharacteristic
618C4⋊C4×C83C2411yescharacteristic
619C22⋊C4×C83—21no—
620C22⋊C4×C83—21no—
621C22⋊C4×C83—21no—
622C22⋊C4×C83—21no—
623C22⋊C4×C83—21no—
624C22⋊C4×C83—21no—
625C22⋊C4×C83—21no—
626C22⋊C4×C83—21no—
627C22⋊C4×C83—21no—
628C22⋊C4×C83—21no—
629C22⋊C4×C83—21no—
630C22⋊C4×C83—21no—
631C22⋊C4×C83—21no—
632C22⋊C4×C83—21no—
633C22⋊C4×C83—21no—
634C22⋊C4×C83—21no—
635C22⋊C4×C83—21no—
636C22⋊C4×C83—21no—
637C22⋊C4×C83—21no—
638C22⋊C4×C83—21no—
639C22⋊C4×C83—21no—
640C22⋊C4×C83—21no—
641C22⋊C4×C83—21no—
642C22⋊C4×C83—21no—
643C22⋊C4×C83—21no—
644C22⋊C4×C83—21no—
645C22⋊C4×C83—21no—
646C22⋊C4×C83—21no—
647C22⋊C4×C83—21no—
648C22⋊C4×C83—21no—
649C22⋊C4×C83—21no—
650C22⋊C4×C83—21no—
651C22⋊C4×C83C2×D411yescharacteristic
652C22⋊C4×C83C2×D411yescharacteristic
653C22⋊C4×C83C2×D411yescharacteristic
654C22⋊C4×C83C2×D411yescharacteristic
655C22⋊C4×C83C2×D411yescharacteristic
656C22⋊C4×C83C2×D411yescharacteristic
657C22⋊C4×C83C2×D411yescharacteristic
658C22⋊C4×C83C2×D411yescharacteristic
659C22⋊C4×C83C2×D411yescharacteristic
660C22⋊C4×C83C2×D411yescharacteristic
661C42×C83—21no—
662C42×C83—21no—
663C42×C83—21no—
664C42×C83—21no—
665C42×C83—21no—
666C42×C83—21no—
667C42×C83—21no—
668C42×C83—21no—
669C42×C83C2×D411yescharacteristic
670C42×C83C2×D411yescharacteristic
671C42×C83C2411yescharacteristic
672C42×C83C2411yescharacteristic
673C42×C83C2411yescharacteristic
674C42×C83C2411yescharacteristic
675C23×C83—21no—
676C23×C83—21no—
677C23×C83—21no—
678C23×C83—21no—
679C23×C83—42no—
680C23×C83—42no—
681C23×C83—42no—
682C23×C83—81no—
683C23×C83—81no—
684C23×C83—81no—
685C23×C83C22×D411yescharacteristic
686C23×C83C22×D411yescharacteristic
687C23×C83C22×D411yescharacteristic
688Q8×C83—21no—
689Q8×C83—21no—
690Q8×C83—21no—
691Q8×C83—21no—
692Q8×C83—41no—
693Q8×C83—81no—
694Q8×C83—81no—
695Q8×C83—81no—
696Q8×C83—81no—
697Q8×C83—81no—
698Q8×C83—81no—
699Q8×C83—81no—
700D4×C83—22no—
701D4×C83—22no—
702D4×C83—21no—
703D4×C83—21no—
704D4×C83—21no—
705D4×C83—21no—
706D4×C83—21no—
707D4×C83—21no—
708D4×C83—21no—
709D4×C83—41no—
710D4×C83—42no—
711D4×C83—42no—
712D4×C83—42no—
713D4×C83—42no—
714D4×C83—42no—
715D4×C83—81no—
716D4×C83—81no—
717D4×C83—81no—
718D4×C83—81no—
719D4×C83—81no—
720D4×C83—81no—
721D4×C83—81no—
722D4×C832−1+412yes—
723C2×C4×C83—22no—
724C2×C4×C83—21no—
725C2×C4×C83—21no—
726C2×C4×C83—21no—
727C2×C4×C83—21no—
728C2×C4×C83—21no—
729C2×C4×C83—21no—
730C2×C4×C83—21no—
731C2×C4×C83—21no—
732C2×C4×C83—21no—
733C2×C4×C83—21no—
734C2×C4×C83—21no—
735C2×C4×C83—21no—
736C2×C4×C83—21no—
737C2×C4×C83—21no—
738C2×C4×C83—21no—
739C2×C4×C83—21no—
740C2×C4×C83—21no—
741C2×C4×C83—21no—
742C2×C4×C83—41no—
743C2×C4×C83—42no—
744C2×C4×C83—42no—
745C2×C4×C83—42no—
746C2×C4×C83—42no—
747C2×C4×C83—42no—
748C2×C4×C83—81no—
749C2×C4×C83—81no—
750C2×C4×C83—81no—
751C2×C4×C83—81no—
752C2×C4×C83—81no—
753C2×C4×C83—81no—
754C2×C4×C83—81no—
755C2×C4×C83—81no—
756C2×C4×C83—81no—
757C2×C4×C83—81no—
758C2×C4×C83—81no—
759C2×C4×C83—81no—
760C2×C4×C83—81no—
761C2×C4×C83C22×D411yescharacteristic
762C2×C4×C83C22×D411yescharacteristic
763C2×C4×C83C22×D411yescharacteristic
764C2×C4×C83C22×D411yescharacteristic
765C2×C4×C83C22×D411yescharacteristic
766C2×C4×C83C22×D411yescharacteristic
767C2×C4×C83C22×D411yescharacteristic
768C2×C4×C83C22×D411yescharacteristic
769C2×C4×C83C22×D411yescharacteristic
770C2×C4×C83C22×D411yescharacteristic
771C2×C4×C83C22×D411yescharacteristic
772C2×C4×C83C2511yescharacteristic
773C8×C83—21no—
774C8×C83—21no—
775C8×C83—21no—
776C8×C83—21no—
777C8×C83—21no—
778C8×C83—21no—
779C8×C83—21no—
780C8×C83—21no—
781C22×C83—21no—
782C22×C83—21no—
783C22×C83—21no—
784C22×C83—21no—
785C22×C83—21no—
786C22×C83—21no—
787C22×C83—22no—
788C22×C83—21no—
789C22×C83—21no—
790C22×C83—41no—
791C22×C83—41no—
792C22×C83—41no—
793C22×C83—41no—
794C22×C83—41no—
795C22×C83—41no—
796C22×C83—41no—
797C22×C83—41no—
798C22×C83—41no—
799C22×C83—41no—
800C22×C83—41no—
801C22×C83—84no—
802C22×C83—162no—
803C22×C83#57612yes—
804C22×C83C23×D411yescharacteristic
805C4×C83—21no—
806C4×C83—21no—
807C4×C83—21no—
808C4×C83—21no—
809C4×C83—21no—
810C4×C83—21no—
811C4×C83—21no—
812C4×C83—21no—
813C4×C83—21no—
814C4×C83—21no—
815C4×C83—21no—
816C4×C83—41no—
817C4×C83—41no—
818C4×C83—41no—
819C4×C83—41no—
820C4×C83—41no—
821C4×C83—41no—
822C4×C83—41no—
823C4×C83—41no—
824C4×C83—41no—
825C4×C83—41no—
826C4×C83—41no—
827C4×C83—41no—
828C4×C83C2×2−1+411yescharacteristic
829C4×C83#58511yescharacteristic
830#62155C8311yesmaximal, characteristic, direct product factor, Sylow
831C2×C83—22no—
832C2×C83—41no—
833C2×C83—41no—
834C2×C83—42no—
835C2×C83—81no—
836C2×C83—81no—
837C2×C83—81no—
838C2×C83#348911yescharacteristic
839C2×C83C2×#57611yescharacteristic
840C2×C83#358611yescharacteristic
841#3544C2×C8311yescharacteristic, complemented
842#3513C2×C8311yescharacteristic, complemented
843#3389C2×C8311yescharacteristic, complemented
844#3385C2×C8311yescharacteristic, complemented
845#3375C2×C8311yescharacteristic, complemented
846#3370C2×C8311yescharacteristic, complemented
847#3347C2×C8311yescharacteristic, complemented
848#3346C2×C8311yescharacteristic, complemented
849#3343C2×C8311yescharacteristic, complemented
850#3343C2×C8311yescharacteristic, complemented
851#3336C2×C8311yescharacteristic, complemented
852#3334C2×C8311yescharacteristic, complemented
853#3319C2×C8311yescharacteristic, complemented
854#3314C2×C8311yescharacteristic, complemented
855#3310C2×C8311yescharacteristic, complemented
856#3306C2×C8311yescharacteristic, complemented
857#3296C2×C8311yescharacteristic, complemented
858#3294C2×C8311yescharacteristic, complemented
859#3262C2×C8311yescharacteristic, complemented
860#3257C2×C8311yescharacteristic, complemented
861#3250C2×C8311yescharacteristic, complemented
862#3243C2×C8311yescharacteristic, complemented
863#3241C2×C8311yescharacteristic, complemented
864#3238C2×C8311yescharacteristic, complemented
865#3124C2×C8311yescharacteristic, complemented
866#3118C2×C8311yescharacteristic, complemented
867#3114C2×C8311yescharacteristic, complemented
868#3083C2×C8311yescharacteristic, complemented
869#3081C2×C8311yescharacteristic, complemented
870C2×#474C2×C8311yescharacteristic, complemented
871#2992C2×C8311yescharacteristic, complemented
872C83#6215511yescharacteristic, direct product factor, Sylow
873#563—21no—
874#563—21no—
875#559C22×C8311yescharacteristic
876Q82C22×C8311yescharacteristic, complemented
877#555C22×C8311yescharacteristic, complemented
878#554C22×C8311yescharacteristic
879#554C22×C8311yescharacteristic, complemented
880#554C22×C8311yescharacteristic, complemented
881#553—21no—
882#553C22×C8311yescharacteristic
883#552—21no—
884#552C22×C8311yescharacteristic
885#552C22×C8311yescharacteristic
886#552C22×C8311yescharacteristic, complemented
887#551—21no—
888#551—21no—
889#547—21no—
890#547C22×C8311yescharacteristic
891#547C22×C8311yescharacteristic
892#547C22×C8311yescharacteristic, complemented
893#546—21no—
894#546C22×C8311yescharacteristic
895#546C22×C8311yescharacteristic
896D42C22×C8311yescharacteristic
897#544—21no—
898#544C22×C8311yescharacteristic, complemented
899#544C22×C8311yescharacteristic, complemented
900#542—21no—
901#542C22×C8311yescharacteristic
902#542C22×C8311yescharacteristic, complemented
903#542C22×C8311yescharacteristic, complemented
904#540C22×C8311yescharacteristic
905#539—21no—
906#538—21no—
907#536—21no—
908#536—21no—
909C2×C4⋊Q8C22×C8311yescharacteristic, complemented
910#529C22×C8311yescharacteristic
911#529C22×C8311yescharacteristic
912#529C22×C8311yescharacteristic, complemented
913#525—21no—
914C2×#123—21no—
915#520C22×C8311yescharacteristic
916#518C22×C8311yescharacteristic
917C2×C4×D4C22×C8311yescharacteristic
918#501C22×C8311yescharacteristic, complemented
919#501C22×C8311yescharacteristic, complemented
920#501C22×C8311yescharacteristic, complemented
921#501C22×C8311yescharacteristic, complemented
922#500C22×C8311yescharacteristic, complemented
923#499C22×C8311yescharacteristic, complemented
924#490C22×C8311yescharacteristic
925#489C22×C8311yescharacteristic, complemented
926#489C22×C8311yescharacteristic, complemented
927#489C22×C8311yescharacteristic, complemented
928#488C22×C8311yescharacteristic, complemented
929#486C22×C8311yescharacteristic
930#485C22×C8311yescharacteristic, complemented
931#485C22×C8311yescharacteristic, complemented
932#484C22×C8311yescharacteristic, complemented
933#484C22×C8311yescharacteristic, complemented
934#483C22×C8311yescharacteristic, complemented
935#483C22×C8311yescharacteristic, complemented
936#483C22×C8311yescharacteristic, complemented
937#482C22×C8311yescharacteristic
938#482C22×C8311yescharacteristic, complemented
939#482C22×C8311yescharacteristic, complemented
940#482C22×C8311yescharacteristic, complemented
941#481C22×C8311yescharacteristic, complemented
942#480C22×C8311yescharacteristic
943#480C22×C8311yescharacteristic
944#480C22×C8311yescharacteristic
945#480C22×C8311yescharacteristic, complemented
946#480C22×C8311yescharacteristic, complemented
947#480C22×C8311yescharacteristic, complemented
948#479C22×C8311yescharacteristic, complemented
949#479C22×C8311yescharacteristic, complemented
950#479C22×C8311yescharacteristic, complemented
951#479C22×C8311yescharacteristic, complemented
952#478C22×C8311yescharacteristic
953#478C22×C8311yescharacteristic
954#478C22×C8311yescharacteristic
955#478C22×C8311yescharacteristic, complemented
956#478C22×C8311yescharacteristic, complemented
957#478C22×C8311yescharacteristic, complemented
958#478C22×C8311yescharacteristic, complemented
959#478C22×C8311yescharacteristic, complemented
960#477C22×C8311yescharacteristic, complemented
961#477C22×C8311yescharacteristic, complemented
962#477C22×C8311yescharacteristic, complemented
963#477C22×C8311yescharacteristic, complemented
964#476C22×C8311yescharacteristic
965#476C22×C8311yescharacteristic, complemented
966#476C22×C8311yescharacteristic, complemented
967#474C22×C8311yescharacteristic
968#474C22×C8311yescharacteristic
969#474C22×C8311yescharacteristic
970#474C22×C8311yescharacteristic
971#474C22×C8311yescharacteristic
972#474C22×C8311yescharacteristic, complemented
973#474C22×C8311yescharacteristic, complemented
974#474C22×C8311yescharacteristic, complemented
975#474C22×C8311yescharacteristic, complemented
976#474C22×C8311yescharacteristic, complemented
977#474C22×C8311yescharacteristic, complemented
978#469C22×C8311yescharacteristic, complemented
979#468C22×C8311yescharacteristic
980#468C22×C8311yescharacteristic, complemented
981#468C22×C8311yescharacteristic, complemented
982#467C22×C8311yescharacteristic, complemented
983#467C22×C8311yescharacteristic, complemented
984#466C22×C8311yescharacteristic
985#466C22×C8311yescharacteristic
986#466C22×C8311yescharacteristic, complemented
987#465C22×C8311yescharacteristic
988#465C22×C8311yescharacteristic, complemented
989#465C22×C8311yescharacteristic, complemented
990#464C22×C8311yescharacteristic, complemented
991#464C22×C8311yescharacteristic, complemented
992#464C22×C8311yescharacteristic, complemented
993#463C22×C8311yescharacteristic
994#463C22×C8311yescharacteristic, complemented
995#463C22×C8311yescharacteristic, complemented
996#463C22×C8311yescharacteristic, complemented
997#463C22×C8311yescharacteristic, complemented
998#460C22×C8311yescharacteristic
999#459C22×C8311yescharacteristic
1000#452C22×C8311yescharacteristic
1001#450C22×C8311yescharacteristic
1002#450C22×C8311yescharacteristic
1003#449C22×C8311yescharacteristic
1004#447C22×C8311yescharacteristic
1005#447C22×C8311yescharacteristic
1006#446C22×C8311yescharacteristic, complemented
1007#446C22×C8311yescharacteristic, complemented
1008#442C22×C8311yescharacteristic
1009#442C22×C8311yescharacteristic
1010#442C22×C8311yescharacteristic, complemented
1011#440C22×C8311yescharacteristic
1012#440C22×C8311yescharacteristic
1013#440C22×C8311yescharacteristic, complemented
1014#440C22×C8311yescharacteristic, complemented
1015#440C22×C8311yescharacteristic, complemented
1016C4×Q16C22×C8311yescharacteristic, complemented
1017C4×SD16C22×C8311yescharacteristic
1018C4×D8C22×C8311yescharacteristic
1019C4×D8C22×C8311yescharacteristic, complemented
1020#435C22×C8311yescharacteristic
1021#435C22×C8311yescharacteristic, complemented
1022#435C22×C8311yescharacteristic, complemented
1023#435C22×C8311yescharacteristic, complemented
1024C8×D4C22×C8311yescharacteristic
1025C8×D4C22×C8311yescharacteristic, complemented
1026#433C22×C8311yescharacteristic, complemented
1027#433C22×C8311yescharacteristic, complemented
1028#432C22×C8311yescharacteristic, complemented
1029#428C22×C8311yescharacteristic, complemented
1030#428C22×C8311yescharacteristic, complemented
1031#427C22×C8311yescharacteristic, complemented
1032C2×#107C22×C8311yescharacteristic, complemented
1033C2×#107C22×C8311yescharacteristic, complemented
1034C2×#107C22×C8311yescharacteristic, complemented
1035#424C22×C8311yescharacteristic, complemented
1036#424C22×C8311yescharacteristic, complemented
1037C2×C4⋊C8C22×C8311yescharacteristic, complemented
1038#418C22×C8311yescharacteristic
1039#417C22×C8311yescharacteristic
1040#416C22×C8311yescharacteristic
1041C2×#102C22×C8311yescharacteristic
1042C2×#102C22×C8311yescharacteristic
1043C2×#102C22×C8311yescharacteristic
1044C2×#41—21no—
1045C2×#41—21no—
1046C2×#41—21no—
1047C2×#41C23×C8311yescharacteristic
1048C22×Q8—21no—
1049C22×D4—21no—
1050C22×D4C23×C8311yescharacteristic
1051C22×D4C23×C8311yescharacteristic
1052C23×C4—21no—
1053C2×Q16C23×C8311yescharacteristic
1054C2×SD16C23×C8311yescharacteristic
1055C2×SD16C23×C8311yescharacteristic
1056C2×SD16C23×C8311yescharacteristic
1057C2×SD16C23×C8311yescharacteristic
1058C2×D8C23×C8311yescharacteristic
1059C2×D8C23×C8311yescharacteristic
1060C2×D8C23×C8311yescharacteristic
1061C2×M16C23×C8311yescharacteristic
1062C2×M16C23×C8311yescharacteristic
1063C22×C8C23×C8311yescharacteristic
1064C22×C8C23×C8311yescharacteristic
1065C22×C8C23×C8311yescharacteristic
1066C22×C8C23×C8311yescharacteristic
1067C4⋊Q8—21no—
1068C4⋊Q8—21no—
1069C4⋊Q8—21no—
1070C4⋊Q8—21no—
1071C4⋊Q8—21no—
1072C4⋊Q8—21no—
1073C4⋊Q8—21no—
1074C4⋊Q8C23×C8311yescharacteristic
1075C4⋊Q8C23×C8311yescharacteristic
1076C4⋊Q8C23×C8311yescharacteristic
1077C4⋊Q8C23×C8311yescharacteristic
1078C4⋊Q8C23×C8311yescharacteristic
1079C4⋊Q8C23×C8311yescharacteristic
1080C4⋊Q8C23×C8311yescharacteristic
1081#127C23×C8311yescharacteristic
1082#126—21no—
1083#126—21no—
1084#126—21no—
1085#126—21no—
1086#126—21no—
1087#126—21no—
1088#126—21no—
1089#126—21no—
1090#126—21no—
1091#126D4×C8311yescharacteristic
1092#126D4×C8311yescharacteristic
1093#125—21no—
1094#125—21no—
1095#125—21no—
1096#125—21no—
1097#125—21no—
1098#125—21no—
1099#125D4×C8311yescharacteristic
1100#125C23×C8311yescharacteristic
1101#125C23×C8311yescharacteristic
1102#125C23×C8311yescharacteristic
1103#125C23×C8311yescharacteristic
1104#125C23×C8311yescharacteristic
1105#124—21no—
1106#124—21no—
1107#124—21no—
1108#124—21no—
1109#124—21no—
1110#124—21no—
1111#124D4×C8311yescharacteristic
1112#124C23×C8311yescharacteristic
1113#124C23×C8311yescharacteristic
1114#124C23×C8311yescharacteristic
1115#123—21no—
1116#123—21no—
1117#123—21no—
1118#123—21no—
1119#123—21no—
1120#123—21no—
1121#123—21no—
1122#123—21no—
1123#123—21no—
1124#123—21no—
1125#123—21no—
1126#123—21no—
1127#123—21no—
1128#123—21no—
1129#123—21no—
1130#123—21no—
1131#123—21no—
1132#123—21no—
1133#123—21no—
1134#123—21no—
1135#123—21no—
1136#123D4×C8311yescharacteristic
1137#123D4×C8311yescharacteristic
1138C22⋊Q8—21no—
1139C22⋊Q8—21no—
1140C22⋊Q8—21no—
1141C22⋊Q8—21no—
1142C22⋊Q8—21no—
1143C22⋊Q8—21no—
1144C22⋊Q8—21no—
1145C22⋊Q8—21no—
1146C22⋊Q8—21no—
1147C22⋊Q8—21no—
1148C22⋊Q8—21no—
1149C22⋊Q8—21no—
1150C22⋊Q8—21no—
1151C22⋊Q8—21no—
1152C22⋊Q8—21no—
1153C22⋊Q8—21no—
1154C22⋊Q8—21no—
1155C22⋊Q8—21no—
1156C22⋊Q8D4×C8311yescharacteristic
1157C22⋊Q8C23×C8311yescharacteristic
1158C22⋊Q8C23×C8311yescharacteristic
1159C22⋊Q8C23×C8311yescharacteristic
1160C22⋊Q8C23×C8311yescharacteristic
1161C22⋊Q8C23×C8311yescharacteristic
1162#121—21no—
1163#121—21no—
1164#121—21no—
1165#121—21no—
1166#121—21no—
1167#121—21no—
1168#121—21no—
1169#121D4×C8311yescharacteristic
1170#121C23×C8311yescharacteristic
1171#121C23×C8311yescharacteristic
1172#121C23×C8311yescharacteristic
1173#121C23×C8311yescharacteristic
1174#121C23×C8311yescharacteristic
1175#121C23×C8311yescharacteristic
1176#121C23×C8311yescharacteristic
1177#120—21no—
1178#120—21no—
1179#120—21no—
1180#120—21no—
1181C4×Q8—21no—
1182C4×Q8C23×C8311yescharacteristic
1183C4×Q8C23×C8311yescharacteristic
1184C4×Q8C23×C8311yescharacteristic
1185C4×Q8C23×C8311yescharacteristic
1186C4×Q8C23×C8311yescharacteristic
1187C4×Q8C23×C8311yescharacteristic
1188C4×D4—21no—
1189C4×D4—21no—
1190C4×D4—21no—
1191C4×D4—21no—
1192C4×D4—21no—
1193C4×D4—21no—
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—21no—
1197C4×D4—21no—
1198C4×D4—21no—
1199C4×D4C23×C8311yescharacteristic
1200C4×D4C23×C8311yescharacteristic
1201C4×D4C23×C8311yescharacteristic
1202C4×D4C23×C8311yescharacteristic
1203C4×D4C23×C8311yescharacteristic
1204C4×D4C23×C8311yescharacteristic
1205C4×D4C23×C8311yescharacteristic
1206C4×D4C23×C8311yescharacteristic
1207C4×D4C23×C8311yescharacteristic
1208C4×D4C23×C8311yescharacteristic
1209C4×D4C23×C8311yescharacteristic
1210C4×D4C23×C8311yescharacteristic
1211C4×D4C23×C8311yescharacteristic
1212C4×D4C23×C8311yescharacteristic
1213#117—21no—
1214#117—21no—
1215#117—21no—
1216#117—21no—
1217#117—21no—
1218#117—21no—
1219#117—21no—
1220#117C23×C8311yescharacteristic
1221#117C23×C8311yescharacteristic
1222#117C23×C8311yescharacteristic
1223#117C23×C8311yescharacteristic
1224#117C23×C8311yescharacteristic
1225C2×C4⋊C4—21no—
1226C2×C4⋊C4—21no—
1227C2×C4⋊C4—21no—
1228C2×C4⋊C4—21no—
1229C2×C4⋊C4C23×C8311yescharacteristic
1230C2×C4⋊C4C23×C8311yescharacteristic
1231C2×C4⋊C4C23×C8311yescharacteristic
1232C2×C4⋊C4C23×C8311yescharacteristic
1233C2×C4⋊C4C23×C8311yescharacteristic
1234C2×C4⋊C4C23×C8311yescharacteristic
1235C2×C22⋊C4—21no—
1236C2×C22⋊C4—21no—
1237C2×C22⋊C4—21no—
1238C2×C22⋊C4—21no—
1239C2×C22⋊C4—21no—
1240C2×C42C23×C8311yescharacteristic
1241#107C23×C8311yescharacteristic
1242#107C23×C8311yescharacteristic
1243#107C23×C8311yescharacteristic
1244#107C23×C8311yescharacteristic
1245#107C23×C8311yescharacteristic
1246#107C23×C8311yescharacteristic
1247#107C23×C8311yescharacteristic
1248#107C23×C8311yescharacteristic
1249#107C23×C8311yescharacteristic
1250#107C23×C8311yescharacteristic
1251#107C23×C8311yescharacteristic
1252#107C23×C8311yescharacteristic
1253#107C23×C8311yescharacteristic
1254#107C23×C8311yescharacteristic
1255#107C23×C8311yescharacteristic
1256#107C23×C8311yescharacteristic
1257#106C23×C8311yescharacteristic
1258#106C23×C8311yescharacteristic
1259#106C23×C8311yescharacteristic
1260#106C23×C8311yescharacteristic
1261#106C23×C8311yescharacteristic
1262#106C23×C8311yescharacteristic
1263#106C23×C8311yescharacteristic
1264#106C23×C8311yescharacteristic
1265C4⋊C8C23×C8311yescharacteristic
1266C4⋊C8C23×C8311yescharacteristic
1267C4⋊C8C23×C8311yescharacteristic
1268C4⋊C8C23×C8311yescharacteristic
1269C4⋊C8C23×C8311yescharacteristic
1270C4⋊C8C23×C8311yescharacteristic
1271C4⋊C8C23×C8311yescharacteristic
1272C4⋊C8C23×C8311yescharacteristic
1273C4⋊C8C23×C8311yescharacteristic
1274C4⋊C8C23×C8311yescharacteristic
1275#103C23×C8311yescharacteristic
1276#103C23×C8311yescharacteristic
1277#103C23×C8311yescharacteristic
1278#103C23×C8311yescharacteristic
1279#103C23×C8311yescharacteristic
1280#103C23×C8311yescharacteristic
1281#103C23×C8311yescharacteristic
1282#103C23×C8311yescharacteristic
1283#103C23×C8311yescharacteristic
1284#103C23×C8311yescharacteristic
1285#102C23×C8311yescharacteristic
1286#102C23×C8311yescharacteristic
1287#102C23×C8311yescharacteristic
1288#102C23×C8311yescharacteristic
1289#102C23×C8311yescharacteristic
1290#102C23×C8311yescharacteristic
1291#102C23×C8311yescharacteristic
1292#102C23×C8311yescharacteristic
1293#102C23×C8311yescharacteristic
1294#102C23×C8311yescharacteristic
1295#102C23×C8311yescharacteristic
1296#102C23×C8311yescharacteristic
1297#102C23×C8311yescharacteristic
1298#102C23×C8311yescharacteristic
1299#102C23×C8311yescharacteristic
1300#102C23×C8311yescharacteristic
1301#102C23×C8311yescharacteristic
1302#102C23×C8311yescharacteristic
1303#102C23×C8311yescharacteristic
1304#102C23×C8311yescharacteristic
1305#102C23×C8311yescharacteristic
1306#102C23×C8311yescharacteristic
1307C22⋊C8C23×C8311yescharacteristic
1308C22⋊C8C23×C8311yescharacteristic
1309C22⋊C8C23×C8311yescharacteristic
1310C22⋊C8C23×C8311yescharacteristic
1311C22⋊C8C23×C8311yescharacteristic
1312C22⋊C8C23×C8311yescharacteristic
1313#97C23×C8311yescharacteristic
1314#97C23×C8311yescharacteristic
1315#97C23×C8311yescharacteristic
1316#97C23×C8311yescharacteristic
1317C4×C8C23×C8311yescharacteristic
1318C4×C8C23×C8311yescharacteristic
1319C24—21no—
1320C24—21no—
1321#41—22no—
1322#41—41no—
1323#41—82no—
1324#41—82no—
1325#41—82no—
1326C2×Q8—21no—
1327C2×Q8—21no—
1328C2×Q8—21no—
1329C2×Q8—21no—
1330C2×Q8—21no—
1331C2×Q8—21no—
1332C2×Q8—21no—
1333C2×Q8—82no—
1334C2×Q8C2×D4×C8311yescharacteristic
1335C2×Q8C24×C8311yescharacteristic
1336C2×Q8C24×C8311yescharacteristic
1337C2×D4—22no—
1338C2×D4—22no—
1339C2×D4—21no—
1340C2×D4—21no—
1341C2×D4—21no—
1342C2×D4—21no—
1343C2×D4—21no—
1344C2×D4—21no—
1345C2×D4—21no—
1346C2×D4—21no—
1347C2×D4—21no—
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—21no—
1351C2×D4—41no—
1352C2×D4—41no—
1353C2×D4—82no—
1354C2×D4C2×D4×C8311yescharacteristic
1355C2×D4C2×D4×C8311yescharacteristic
1356C2×D4C2×D4×C8311yescharacteristic
1357C2×D4C24×C8311yescharacteristic
1358C2×D4C24×C8311yescharacteristic
1359C2×D4C24×C8311yescharacteristic
1360C2×D4C24×C8311yescharacteristic
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—21no—
1367C22×C4—21no—
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—21no—
1377C22×C4—21no—
1378C22×C4—21no—
1379C22×C4—82no—
1380C22×C4C2×D4×C8311yescharacteristic
1381C22×C4C2×D4×C8311yescharacteristic
1382C22×C4C24×C8311yescharacteristic
1383C22×C4C24×C8311yescharacteristic
1384C22×C4C24×C8311yescharacteristic
1385Q16—41no—
1386SD16—22no—
1387SD16—41no—
1388SD16—41no—
1389SD16—41no—
1390D8—22no—
1391D8—41no—
1392D8—41no—
1393M16—41no—
1394M16—41no—
1395C2×C8—41no—
1396C2×C8—41no—
1397C2×C8—41no—
1398C2×C8—41no—
1399C2×C8C24×C8311yescharacteristic
1400C2×C8C24×C8311yescharacteristic
1401C2×C8C24×C8311yescharacteristic
1402C2×C8C24×C8311yescharacteristic
1403C2×C8C24×C8311yescharacteristic
1404C2×C8C24×C8311yescharacteristic
1405C2×C8C24×C8311yescharacteristic
1406C2×C8C24×C8311yescharacteristic
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—21no—
1420C4⋊C4—21no—
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—21no—
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4C2×D4×C8311yescharacteristic
1441C4⋊C4C2×D4×C8311yescharacteristic
1442C4⋊C4C2×D4×C8311yescharacteristic
1443C4⋊C4C2×D4×C8311yescharacteristic
1444C4⋊C4C2×D4×C8311yescharacteristic
1445C4⋊C4C2×D4×C8311yescharacteristic
1446C4⋊C4C2×D4×C8311yescharacteristic
1447C4⋊C4C2×D4×C8311yescharacteristic
1448C4⋊C4C2×D4×C8311yescharacteristic
1449C4⋊C4C2×D4×C8311yescharacteristic
1450C4⋊C4C24×C8311yescharacteristic
1451C4⋊C4C24×C8311yescharacteristic
1452C4⋊C4C24×C8311yescharacteristic
1453C4⋊C4C24×C8311yescharacteristic
1454C4⋊C4C24×C8311yescharacteristic
1455C4⋊C4C24×C8311yescharacteristic
1456C4⋊C4C24×C8311yescharacteristic
1457C4⋊C4C24×C8311yescharacteristic
1458C4⋊C4C24×C8311yescharacteristic
1459C4⋊C4C24×C8311yescharacteristic
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4C2×D4×C8311yescharacteristic
1493C22⋊C4C2×D4×C8311yescharacteristic
1494C22⋊C4C2×D4×C8311yescharacteristic
1495C22⋊C4C2×D4×C8311yescharacteristic
1496C22⋊C4C2×D4×C8311yescharacteristic
1497C22⋊C4C2×D4×C8311yescharacteristic
1498C22⋊C4C2×D4×C8311yescharacteristic
1499C22⋊C4C2×D4×C8311yescharacteristic
1500C22⋊C4C2×D4×C8311yescharacteristic
1501C22⋊C4C2×D4×C8311yescharacteristic
1502C42—21no—
1503C42—21no—
1504C42—21no—
1505C42—21no—
1506C42—21no—
1507C42—21no—
1508C42—21no—
1509C42—21no—
1510C42C2×D4×C8311yescharacteristic
1511C42C2×D4×C8311yescharacteristic
1512C42C24×C8311yescharacteristic
1513C42C24×C8311yescharacteristic
1514C42C24×C8311yescharacteristic
1515C42C24×C8311yescharacteristic
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—42no—
1521C23—42no—
1522C23—42no—
1523C23—81no—
1524C23—81no—
1525C23—81no—
1526C23C22×D4×C8311yescharacteristic
1527C23C22×D4×C8311yescharacteristic
1528C23C22×D4×C8311yescharacteristic
1529Q8—21no—
1530Q8—21no—
1531Q8—21no—
1532Q8—21no—
1533Q8—41no—
1534Q8—81no—
1535Q8—81no—
1536Q8—81no—
1537Q8—81no—
1538Q8—81no—
1539Q8—81no—
1540Q8—81no—
1541D4—22no—
1542D4—22no—
1543D4—21no—
1544D4—21no—
1545D4—21no—
1546D4—21no—
1547D4—21no—
1548D4—21no—
1549D4—21no—
1550D4—41no—
1551D4—42no—
1552D4—42no—
1553D4—42no—
1554D4—42no—
1555D4—42no—
1556D4—81no—
1557D4—81no—
1558D4—81no—
1559D4—81no—
1560D4—81no—
1561D4—81no—
1562D4—81no—
1563D42−1+4×C8312yes—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—41no—
1584C2×C4—42no—
1585C2×C4—42no—
1586C2×C4—42no—
1587C2×C4—42no—
1588C2×C4—42no—
1589C2×C4—81no—
1590C2×C4—81no—
1591C2×C4—81no—
1592C2×C4—81no—
1593C2×C4—81no—
1594C2×C4—81no—
1595C2×C4—81no—
1596C2×C4—81no—
1597C2×C4—81no—
1598C2×C4—81no—
1599C2×C4—81no—
1600C2×C4—81no—
1601C2×C4—81no—
1602C2×C4C22×D4×C8311yescharacteristic
1603C2×C4C22×D4×C8311yescharacteristic
1604C2×C4C22×D4×C8311yescharacteristic
1605C2×C4C22×D4×C8311yescharacteristic
1606C2×C4C22×D4×C8311yescharacteristic
1607C2×C4C22×D4×C8311yescharacteristic
1608C2×C4C22×D4×C8311yescharacteristic
1609C2×C4C22×D4×C8311yescharacteristic
1610C2×C4C22×D4×C8311yescharacteristic
1611C2×C4C22×D4×C8311yescharacteristic
1612C2×C4C22×D4×C8311yescharacteristic
1613C2×C4C25×C8311yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—21no—
1619C8—21no—
1620C8—21no—
1621C8—21no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—21no—
1626C22—21no—
1627C22—21no—
1628C22—21no—
1629C22—21no—
1630C22—22no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—84no—
1643C22—162no—
1644C22#576×C8312yes—
1645C22C23×D4×C8311yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—21no—
1652C4—21no—
1653C4—21no—
1654C4—21no—
1655C4—21no—
1656C4—21no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—41no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4C2×2−1+4×C8311yescharacteristic
1670C4#585×C8311yescharacteristic
1671C2—22no—
1672C2—41no—
1673C2—41no—
1674C2—42no—
1675C2—81no—
1676C2—81no—
1677C2—81no—
1678C2C83×#348911yescharacteristic
1679C2C2×#576×C8311yescharacteristic
1680C2C83×#358611yescharacteristic
subgroupG/H
center, socleC22×C83C23×D4
commutator, Frattini, cosocleC2×C4C25×C83
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C83 ◁ #529×C83 ◁ G

Complements

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

NH ≅ G/Ntype
1. C83×#3544C2semidirect
2. C83×#3513C2semidirect
3. C83×#3389C2semidirect
4. C83×#3385C2semidirect
5. C83×#3375C2semidirect
6. C83×#3370C2semidirect
7. C83×#3347C2semidirect
8. C83×#3346C2semidirect
9. C83×#3343C2semidirect
10. C83×#3343C2semidirect
11. C83×#3336C2semidirect
12. C83×#3334C2semidirect
13. C83×#3319C2semidirect
14. C83×#3314C2semidirect
15. C83×#3310C2semidirect
16. C83×#3306C2semidirect
17. C83×#3296C2semidirect
18. C83×#3294C2semidirect
19. C83×#3262C2semidirect
20. C83×#3257C2semidirect
21. C83×#3250C2semidirect
22. C83×#3243C2semidirect
23. C83×#3241C2semidirect
24. C83×#3238C2semidirect
25. C83×#3124C2semidirect
26. C83×#3118C2semidirect
27. C83×#3114C2semidirect
28. C83×#3083C2semidirect
29. C83×#3081C2semidirect
30. C2×#474×C83C2semidirect
31. C83×#2992C2semidirect
35. Q82×C83C22semidirect
36. #555×C83C22semidirect
38. #554×C83C22semidirect
39. #554×C83C22semidirect
45. #552×C83C22semidirect
51. #547×C83C22semidirect
57. #544×C83C22semidirect
58. #544×C83C22semidirect
61. #542×C83C22semidirect
62. #542×C83C22semidirect
68. C2×C4⋊Q8×C83C22semidirect
71. #529×C83C22semidirect
77. #501×C83C22semidirect
78. #501×C83C22semidirect
79. #501×C83C22semidirect
80. #501×C83C22semidirect
81. #500×C83C22semidirect
82. #499×C83C22semidirect
84. #489×C83C22semidirect
85. #489×C83C22semidirect
86. #489×C83C22semidirect
87. #488×C83C22semidirect
89. #485×C83C22semidirect
90. #485×C83C22semidirect
91. #484×C83C22semidirect
92. #484×C83C22semidirect
93. #483×C83C22semidirect
94. #483×C83C22semidirect
95. #483×C83C22semidirect
97. #482×C83C22semidirect
98. #482×C83C22semidirect
99. #482×C83C22semidirect
100. #481×C83C22semidirect
104. #480×C83C22semidirect
105. #480×C83C22semidirect
106. #480×C83C22semidirect
107. #479×C83C22semidirect
108. #479×C83C22semidirect
109. #479×C83C22semidirect
110. #479×C83C22semidirect
114. #478×C83C22semidirect
115. #478×C83C22semidirect
116. #478×C83C22semidirect
117. #478×C83C22semidirect
118. #478×C83C22semidirect
119. #477×C83C22semidirect
120. #477×C83C22semidirect
121. #477×C83C22semidirect
122. #477×C83C22semidirect
124. #476×C83C22semidirect
125. #476×C83C22semidirect
131. #474×C83C22semidirect
132. #474×C83C22semidirect
133. #474×C83C22semidirect
134. #474×C83C22semidirect
135. #474×C83C22semidirect
136. #474×C83C22semidirect
137. #469×C83C22semidirect
139. #468×C83C22semidirect
140. #468×C83C22semidirect
141. #467×C83C22semidirect
142. #467×C83C22semidirect
145. #466×C83C22semidirect
147. #465×C83C22semidirect
148. #465×C83C22semidirect
149. #464×C83C22semidirect
150. #464×C83C22semidirect
151. #464×C83C22semidirect
153. #463×C83C22semidirect
154. #463×C83C22semidirect
155. #463×C83C22semidirect
156. #463×C83C22semidirect
165. #446×C83C22semidirect
166. #446×C83C22semidirect
169. #442×C83C22semidirect
172. #440×C83C22semidirect
173. #440×C83C22semidirect
174. #440×C83C22semidirect
175. C4×Q16×C83C22semidirect
178. C4×D8×C83C22semidirect
180. #435×C83C22semidirect
181. #435×C83C22semidirect
182. #435×C83C22semidirect
184. C8×D4×C83C22semidirect
185. #433×C83C22semidirect
186. #433×C83C22semidirect
187. #432×C83C22semidirect
188. #428×C83C22semidirect
189. #428×C83C22semidirect
190. #427×C83C22semidirect
191. C2×#107×C83C22semidirect
192. C2×#107×C83C22semidirect
193. C2×#107×C83C22semidirect
194. #424×C83C22semidirect
195. #424×C83C22semidirect
196. C2×C4⋊C8×C83C22semidirect
830. #62155C83direct (N × H)
841. #3544C2×C83semidirect
842. #3513C2×C83semidirect
843. #3389C2×C83semidirect
844. #3385C2×C83semidirect
845. #3375C2×C83semidirect
846. #3370C2×C83semidirect
847. #3347C2×C83semidirect
848. #3346C2×C83semidirect
849. #3343C2×C83semidirect
850. #3343C2×C83semidirect
851. #3336C2×C83semidirect
852. #3334C2×C83semidirect
853. #3319C2×C83semidirect
854. #3314C2×C83semidirect
855. #3310C2×C83semidirect
856. #3306C2×C83semidirect
857. #3296C2×C83semidirect
858. #3294C2×C83semidirect
859. #3262C2×C83semidirect
860. #3257C2×C83semidirect
861. #3250C2×C83semidirect
862. #3243C2×C83semidirect
863. #3241C2×C83semidirect
864. #3238C2×C83semidirect
865. #3124C2×C83semidirect
866. #3118C2×C83semidirect
867. #3114C2×C83semidirect
868. #3083C2×C83semidirect
869. #3081C2×C83semidirect
870. C2×#474C2×C83semidirect
871. #2992C2×C83semidirect
872. C83#62155direct (N × H)
876. Q82C22×C83semidirect
877. #555C22×C83semidirect
879. #554C22×C83semidirect
880. #554C22×C83semidirect
886. #552C22×C83semidirect
892. #547C22×C83semidirect
898. #544C22×C83semidirect
899. #544C22×C83semidirect
902. #542C22×C83semidirect
903. #542C22×C83semidirect
909. C2×C4⋊Q8C22×C83semidirect
912. #529C22×C83semidirect
918. #501C22×C83semidirect
919. #501C22×C83semidirect
920. #501C22×C83semidirect
921. #501C22×C83semidirect
922. #500C22×C83semidirect
923. #499C22×C83semidirect
925. #489C22×C83semidirect
926. #489C22×C83semidirect
927. #489C22×C83semidirect
928. #488C22×C83semidirect
930. #485C22×C83semidirect
931. #485C22×C83semidirect
932. #484C22×C83semidirect
933. #484C22×C83semidirect
934. #483C22×C83semidirect
935. #483C22×C83semidirect
936. #483C22×C83semidirect
938. #482C22×C83semidirect
939. #482C22×C83semidirect
940. #482C22×C83semidirect
941. #481C22×C83semidirect
945. #480C22×C83semidirect
946. #480C22×C83semidirect
947. #480C22×C83semidirect
948. #479C22×C83semidirect
949. #479C22×C83semidirect
950. #479C22×C83semidirect
951. #479C22×C83semidirect
955. #478C22×C83semidirect
956. #478C22×C83semidirect
957. #478C22×C83semidirect
958. #478C22×C83semidirect
959. #478C22×C83semidirect
960. #477C22×C83semidirect
961. #477C22×C83semidirect
962. #477C22×C83semidirect
963. #477C22×C83semidirect
965. #476C22×C83semidirect
966. #476C22×C83semidirect
972. #474C22×C83semidirect
973. #474C22×C83semidirect
974. #474C22×C83semidirect
975. #474C22×C83semidirect
976. #474C22×C83semidirect
977. #474C22×C83semidirect
978. #469C22×C83semidirect
980. #468C22×C83semidirect
981. #468C22×C83semidirect
982. #467C22×C83semidirect
983. #467C22×C83semidirect
986. #466C22×C83semidirect
988. #465C22×C83semidirect
989. #465C22×C83semidirect
990. #464C22×C83semidirect
991. #464C22×C83semidirect
992. #464C22×C83semidirect
994. #463C22×C83semidirect
995. #463C22×C83semidirect
996. #463C22×C83semidirect
997. #463C22×C83semidirect
1006. #446C22×C83semidirect
1007. #446C22×C83semidirect
1010. #442C22×C83semidirect
1013. #440C22×C83semidirect
1014. #440C22×C83semidirect
1015. #440C22×C83semidirect
1016. C4×Q16C22×C83semidirect
1019. C4×D8C22×C83semidirect
1021. #435C22×C83semidirect
1022. #435C22×C83semidirect
1023. #435C22×C83semidirect
1025. C8×D4C22×C83semidirect
1026. #433C22×C83semidirect
1027. #433C22×C83semidirect
1028. #432C22×C83semidirect
1029. #428C22×C83semidirect
1030. #428C22×C83semidirect
1031. #427C22×C83semidirect
1032. C2×#107C22×C83semidirect
1033. C2×#107C22×C83semidirect
1034. C2×#107C22×C83semidirect
1035. #424C22×C83semidirect
1036. #424C22×C83semidirect
1037. C2×C4⋊C8C22×C83semidirect

Maximal subgroups

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

subgroupindex
C83×#35442
C83×#35132
C83×#33892
C83×#33852
C83×#33752
C83×#33702
C83×#33472
C83×#33462
C83×#33432
C83×#33362
C83×#33342
C83×#33192
C83×#33142
C83×#33102
C83×#33062
C83×#32962
C83×#32942
C83×#32622
C83×#32572
C83×#32502
C83×#32432
C83×#32412
C83×#32382
C83×#31242
C83×#31182
C83×#31142
C83×#30832
C83×#30812
C2×#474×C832
C83×#29922
#6215583