Finite Group Databasebeta

← C83×#62228 #35290052

Subgroups — C83×#62228 #35290052

Order 21248.

1694 conjugacy classes of subgroups.

The subgroup lattice has 1650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C83×#3544C211yesmaximal, characteristic, complemented
2C83×#3521C211yesmaximal, characteristic, complemented
3C83×#3389C211yesmaximal, characteristic, complemented
4C83×#3385C211yesmaximal, characteristic, complemented
5C83×#3376C211yesmaximal, characteristic, complemented
6C83×#3369C211yesmaximal, characteristic, complemented
7C83×#3353C211yesmaximal, characteristic, complemented
8C83×#3351C211yesmaximal, characteristic, complemented
9C83×#3349C211yesmaximal, characteristic, complemented
10C83×#3348C211yesmaximal, characteristic, complemented
11C83×#3345C211yesmaximal, characteristic, complemented
12C83×#3344C211yesmaximal, characteristic, complemented
13C83×#3330C211yesmaximal, characteristic, complemented
14C83×#3323C211yesmaximal, characteristic, complemented
15C83×#3319C211yesmaximal, characteristic, complemented
16C83×#3315C211yesmaximal, characteristic, complemented
17C83×#3314C211yesmaximal, characteristic, complemented
18C83×#3306C211yesmaximal, characteristic, complemented
19C83×#3262C211yesmaximal, characteristic, complemented
20C83×#3258C211yesmaximal, characteristic, complemented
21C83×#3256C211yesmaximal, characteristic, complemented
22C83×#3243C211yesmaximal, characteristic, complemented
23C83×#3242C211yesmaximal, characteristic, complemented
24C83×#3239C211yesmaximal, characteristic, complemented
25C83×#3125C211yesmaximal, characteristic, complemented
26C83×#3118C211yesmaximal, characteristic, complemented
27C83×#3111C211yesmaximal, characteristic, complemented
28C83×#3084C211yesmaximal, characteristic, complemented
29C83×#3081C211yesmaximal, characteristic, complemented
30C83×#3079C211yesmaximal, characteristic, complemented
31C83×#2995C211yesmaximal, characteristic, complemented
32#563×C83—21no—
33#563×C83—21no—
34Q82×C83C2211yescharacteristic, complemented
35#556×C83C2211yescharacteristic
36#556×C83C2211yescharacteristic
37#555×C83C2211yescharacteristic
38#554×C83C2211yescharacteristic
39#554×C83C2211yescharacteristic
40#554×C83C2211yescharacteristic, complemented
41#553×C83—21no—
42#553×C83C2211yescharacteristic
43#552×C83—21no—
44#552×C83—21no—
45#552×C83C2211yescharacteristic
46#552×C83C2211yescharacteristic
47#552×C83C2211yescharacteristic, complemented
48#551×C83—21no—
49#551×C83—21no—
50#547×C83—21no—
51#547×C83C2211yescharacteristic
52#547×C83C2211yescharacteristic
53#547×C83C2211yescharacteristic, complemented
54#546×C83C2211yescharacteristic
55#546×C83C2211yescharacteristic
56#544×C83—21no—
57#544×C83C2211yescharacteristic
58#544×C83C2211yescharacteristic, complemented
59#542×C83—21no—
60#542×C83C2211yescharacteristic
61#542×C83C2211yescharacteristic
62#542×C83C2211yescharacteristic, complemented
63#541×C83C2211yescharacteristic
64#539×C83—21no—
65#538×C83—21no—
66#536×C83—21no—
67#536×C83—21no—
68C2×C4⋊Q8×C83C2211yescharacteristic, complemented
69#529×C83—21no—
70#529×C83C2211yescharacteristic
71#529×C83C2211yescharacteristic
72#529×C83C2211yescharacteristic, complemented
73C2×#126×C83—21no—
74#520×C83C2211yescharacteristic
75#518×C83C2211yescharacteristic
76C4×#41×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#491×C83C2211yescharacteristic, complemented
84#489×C83C2211yescharacteristic
85#489×C83C2211yescharacteristic
86#489×C83C2211yescharacteristic
87#488×C83C2211yescharacteristic
88#487×C83C2211yescharacteristic, complemented
89#485×C83C2211yescharacteristic
90#485×C83C2211yescharacteristic
91#485×C83C2211yescharacteristic
92#485×C83C2211yescharacteristic, complemented
93#485×C83C2211yescharacteristic, complemented
94#484×C83C2211yescharacteristic
95#484×C83C2211yescharacteristic, complemented
96#484×C83C2211yescharacteristic, complemented
97#484×C83C2211yescharacteristic, complemented
98#483×C83C2211yescharacteristic
99#483×C83C2211yescharacteristic, complemented
100#482×C83C2211yescharacteristic
101#482×C83C2211yescharacteristic
102#482×C83C2211yescharacteristic, complemented
103#481×C83C2211yescharacteristic
104#481×C83C2211yescharacteristic
105#481×C83C2211yescharacteristic, complemented
106#480×C83C2211yescharacteristic
107#479×C83C2211yescharacteristic, complemented
108#479×C83C2211yescharacteristic, complemented
109#479×C83C2211yescharacteristic, complemented
110#479×C83C2211yescharacteristic, complemented
111#479×C83C2211yescharacteristic, complemented
112#478×C83C2211yescharacteristic
113#478×C83C2211yescharacteristic
114#478×C83C2211yescharacteristic
115#478×C83C2211yescharacteristic
116#478×C83C2211yescharacteristic
117#478×C83C2211yescharacteristic, complemented
118#478×C83C2211yescharacteristic, complemented
119#477×C83C2211yescharacteristic, complemented
120#477×C83C2211yescharacteristic, complemented
121#477×C83C2211yescharacteristic, complemented
122#476×C83C2211yescharacteristic
123#476×C83C2211yescharacteristic
124#476×C83C2211yescharacteristic
125#476×C83C2211yescharacteristic
126#475×C83C2211yescharacteristic, complemented
127#475×C83C2211yescharacteristic, complemented
128#475×C83C2211yescharacteristic, complemented
129#475×C83C2211yescharacteristic, complemented
130#475×C83C2211yescharacteristic, complemented
131#474×C83C2211yescharacteristic
132#474×C83C2211yescharacteristic
133#474×C83C2211yescharacteristic
134#474×C83C2211yescharacteristic
135#474×C83C2211yescharacteristic
136#474×C83C2211yescharacteristic, complemented
137#470×C83C2211yescharacteristic
138#470×C83C2211yescharacteristic, complemented
139#469×C83C2211yescharacteristic
140#468×C83C2211yescharacteristic
141#468×C83C2211yescharacteristic
142#468×C83C2211yescharacteristic
143#468×C83C2211yescharacteristic, complemented
144#468×C83C2211yescharacteristic, complemented
145#467×C83C2211yescharacteristic
146#467×C83C2211yescharacteristic, complemented
147#466×C83C2211yescharacteristic
148#465×C83C2211yescharacteristic
149#464×C83C2211yescharacteristic
150#464×C83C2211yescharacteristic
151#464×C83C2211yescharacteristic, complemented
152#464×C83C2211yescharacteristic, complemented
153#463×C83C2211yescharacteristic
154#463×C83C2211yescharacteristic
155#463×C83C2211yescharacteristic
156#463×C83C2211yescharacteristic
157#462×C83C2211yescharacteristic, complemented
158#461×C83C2211yescharacteristic, complemented
159#452×C83C2211yescharacteristic
160#452×C83C2211yescharacteristic
161#450×C83C2211yescharacteristic
162#449×C83C2211yescharacteristic
163#449×C83C2211yescharacteristic
164#447×C83C2211yescharacteristic
165#446×C83C2211yescharacteristic, complemented
166#446×C83C2211yescharacteristic, complemented
167#442×C83C2211yescharacteristic
168#442×C83C2211yescharacteristic
169#442×C83C2211yescharacteristic
170#441×C83C2211yescharacteristic, complemented
171#441×C83C2211yescharacteristic, complemented
172#440×C83C2211yescharacteristic
173#440×C83C2211yescharacteristic
174#440×C83C2211yescharacteristic, complemented
175C4×SD16×C83C2211yescharacteristic
176C4×SD16×C83C2211yescharacteristic
177C4×SD16×C83C2211yescharacteristic, complemented
178C4×D8×C83C2211yescharacteristic
179#436×C83C2211yescharacteristic
180#436×C83C2211yescharacteristic, complemented
181#435×C83C2211yescharacteristic
182#435×C83C2211yescharacteristic
183#435×C83C2211yescharacteristic
184#435×C83C2211yescharacteristic, complemented
185#433×C83C2211yescharacteristic
186#433×C83C2211yescharacteristic, complemented
187#432×C83C2211yescharacteristic, complemented
188#428×C83C2211yescharacteristic
189#428×C83C2211yescharacteristic, complemented
190#428×C83C2211yescharacteristic, complemented
191#428×C83C2211yescharacteristic, complemented
192#427×C83C2211yescharacteristic
193C2×#106×C83C2211yescharacteristic, complemented
194#424×C83C2211yescharacteristic
195#424×C83C2211yescharacteristic, complemented
196#423×C83C2211yescharacteristic, complemented
197#418×C83C2211yescharacteristic
198#417×C83C2211yescharacteristic
199#417×C83C2211yescharacteristic
200#417×C83C2211yescharacteristic
201#416×C83C2211yescharacteristic
202C2×#102×C83C2211yescharacteristic
203C2×#41×C83—21no—
204C2×#41×C83—21no—
205C2×#41×C83C2311yescharacteristic
206C2×#41×C83C2311yescharacteristic
207C22×Q8×C83—21no—
208C22×D4×C83C2311yescharacteristic
209C2×Q16×C83C2311yescharacteristic
210C2×Q16×C83C2311yescharacteristic
211C2×SD16×C83C2311yescharacteristic
212C2×SD16×C83C2311yescharacteristic
213C2×SD16×C83C2311yescharacteristic
214C2×SD16×C83C2311yescharacteristic
215C2×D8×C83C2311yescharacteristic
216C2×D8×C83C2311yescharacteristic
217C2×M16×C83C2311yescharacteristic
218C2×M16×C83C2311yescharacteristic
219C2×M16×C83C2311yescharacteristic
220C2×M16×C83C2311yescharacteristic
221C22×C8×C83C2311yescharacteristic
222C22×C8×C83C2311yescharacteristic
223C4⋊Q8×C83—21no—
224C4⋊Q8×C83—21no—
225C4⋊Q8×C83—21no—
226C4⋊Q8×C83—21no—
227C4⋊Q8×C83—21no—
228C4⋊Q8×C83—21no—
229C4⋊Q8×C83—21no—
230C4⋊Q8×C83C2311yescharacteristic
231C4⋊Q8×C83C2311yescharacteristic
232C4⋊Q8×C83C2311yescharacteristic
233C4⋊Q8×C83C2311yescharacteristic
234C4⋊Q8×C83C2311yescharacteristic
235C4⋊Q8×C83C2311yescharacteristic
236C4⋊Q8×C83C2311yescharacteristic
237C4⋊Q8×C83C2311yescharacteristic
238#126×C83—21no—
239#126×C83—21no—
240#126×C83—21no—
241#126×C83—21no—
242#126×C83—21no—
243#126×C83—21no—
244#126×C83—21no—
245#126×C83—21no—
246#126×C83—21no—
247#126×C83—21no—
248#126×C83—21no—
249#126×C83—21no—
250#126×C83—21no—
251#126×C83—21no—
252#126×C83—21no—
253#126×C83D411yescharacteristic
254#126×C83D411yescharacteristic
255#125×C83—21no—
256#125×C83—21no—
257#125×C83—21no—
258#125×C83—21no—
259#125×C83—21no—
260#125×C83—21no—
261#125×C83—21no—
262#125×C83—21no—
263#125×C83D411yescharacteristic
264#125×C83C2311yescharacteristic
265#125×C83C2311yescharacteristic
266#125×C83C2311yescharacteristic
267#125×C83C2311yescharacteristic
268#125×C83C2311yescharacteristic
269#124×C83—21no—
270#124×C83—21no—
271#124×C83—21no—
272#124×C83—21no—
273#124×C83—21no—
274#124×C83—21no—
275#124×C83D411yescharacteristic
276#124×C83C2311yescharacteristic
277#124×C83C2311yescharacteristic
278#124×C83C2311yescharacteristic
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×C83—21no—
296#123×C83D411yescharacteristic
297#123×C83D411yescharacteristic
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×C83—21no—
316C22⋊Q8×C83D411yescharacteristic
317C22⋊Q8×C83C2311yescharacteristic
318C22⋊Q8×C83C2311yescharacteristic
319C22⋊Q8×C83C2311yescharacteristic
320C22⋊Q8×C83C2311yescharacteristic
321C22⋊Q8×C83C2311yescharacteristic
322C22⋊Q8×C83C2311yescharacteristic
323C22⋊Q8×C83C2311yescharacteristic
324#121×C83—21no—
325#121×C83—21no—
326#121×C83—21no—
327#121×C83—21no—
328#121×C83—21no—
329#121×C83D411yescharacteristic
330#121×C83C2311yescharacteristic
331#121×C83C2311yescharacteristic
332#121×C83C2311yescharacteristic
333#121×C83C2311yescharacteristic
334#121×C83C2311yescharacteristic
335#120×C83—21no—
336#120×C83—21no—
337C4×Q8×C83—21no—
338C4×Q8×C83—21no—
339C4×Q8×C83C2311yescharacteristic
340C4×Q8×C83C2311yescharacteristic
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×C83C2311yescharacteristic
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
369#117×C83—21no—
370#117×C83—21no—
371#117×C83—21no—
372#117×C83—21no—
373#117×C83—21no—
374#117×C83—21no—
375#117×C83—21no—
376#117×C83—21no—
377#117×C83—21no—
378#117×C83C2311yescharacteristic
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×C83—21no—
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×C42×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#106×C83C2311yescharacteristic
413#106×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
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#103×C83C2311yescharacteristic
445#103×C83C2311yescharacteristic
446#103×C83C2311yescharacteristic
447#103×C83C2311yescharacteristic
448#103×C83C2311yescharacteristic
449#103×C83C2311yescharacteristic
450#102×C83C2311yescharacteristic
451#102×C83C2311yescharacteristic
452#102×C83C2311yescharacteristic
453#102×C83C2311yescharacteristic
454#102×C83C2311yescharacteristic
455#102×C83C2311yescharacteristic
456#102×C83C2311yescharacteristic
457#102×C83C2311yescharacteristic
458#102×C83C2311yescharacteristic
459#102×C83C2311yescharacteristic
460#102×C83C2311yescharacteristic
461#102×C83C2311yescharacteristic
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—
479#41×C83—22no—
480#41×C83—22no—
481#41×C83—41no—
482#41×C83—41no—
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×Q8×C83C2411yescharacteristic
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—41no—
507C2×D4×C83C2×D411yescharacteristic
508C2×D4×C83C2×D411yescharacteristic
509C2×D4×C83C2×D411yescharacteristic
510C2×D4×C83C2411yescharacteristic
511C2×D4×C83C2411yescharacteristic
512C2×D4×C83C2411yescharacteristic
513C22×C4×C83—21no—
514C22×C4×C83—21no—
515C22×C4×C83—21no—
516C22×C4×C83—21no—
517C22×C4×C83—21no—
518C22×C4×C83—21no—
519C22×C4×C83—21no—
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×C83C2×D411yescharacteristic
530C22×C4×C83C2×D411yescharacteristic
531C22×C4×C83C2411yescharacteristic
532C22×C4×C83C2411yescharacteristic
533C22×C4×C83C2411yescharacteristic
534Q16×C83—41no—
535Q16×C83—41no—
536SD16×C83—22no—
537SD16×C83—41no—
538SD16×C83—41no—
539SD16×C83—41no—
540D8×C83—22no—
541D8×C83—41no—
542M16×C83—41no—
543M16×C83—41no—
544M16×C83—41no—
545M16×C83—41no—
546C2×C8×C83—41no—
547C2×C8×C83—41no—
548C2×C8×C83C2411yescharacteristic
549C2×C8×C83C2411yescharacteristic
550C2×C8×C83C2411yescharacteristic
551C2×C8×C83C2411yescharacteristic
552C2×C8×C83C2411yescharacteristic
553C2×C8×C83C2411yescharacteristic
554C2×C8×C83C2411yescharacteristic
555C2×C8×C83C2411yescharacteristic
556C4⋊C4×C83—21no—
557C4⋊C4×C83—21no—
558C4⋊C4×C83—21no—
559C4⋊C4×C83—21no—
560C4⋊C4×C83—21no—
561C4⋊C4×C83—21no—
562C4⋊C4×C83—21no—
563C4⋊C4×C83—21no—
564C4⋊C4×C83—21no—
565C4⋊C4×C83—21no—
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×C83C2×D411yescharacteristic
595C4⋊C4×C83C2×D411yescharacteristic
596C4⋊C4×C83C2×D411yescharacteristic
597C4⋊C4×C83C2×D411yescharacteristic
598C4⋊C4×C83C2×D411yescharacteristic
599C4⋊C4×C83C2×D411yescharacteristic
600C4⋊C4×C83C2×D411yescharacteristic
601C4⋊C4×C83C2×D411yescharacteristic
602C4⋊C4×C83C2×D411yescharacteristic
603C4⋊C4×C83C2×D411yescharacteristic
604C4⋊C4×C83C2411yescharacteristic
605C4⋊C4×C83C2411yescharacteristic
606C4⋊C4×C83C2411yescharacteristic
607C4⋊C4×C83C2411yescharacteristic
608C4⋊C4×C83C2411yescharacteristic
609C4⋊C4×C83C2411yescharacteristic
610C4⋊C4×C83C2411yescharacteristic
611C4⋊C4×C83C2411yescharacteristic
612C4⋊C4×C83C2411yescharacteristic
613C4⋊C4×C83C2411yescharacteristic
614C22⋊C4×C83—21no—
615C22⋊C4×C83—21no—
616C22⋊C4×C83—21no—
617C22⋊C4×C83—21no—
618C22⋊C4×C83—21no—
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×C83C2×D411yescharacteristic
646C22⋊C4×C83C2×D411yescharacteristic
647C22⋊C4×C83C2×D411yescharacteristic
648C22⋊C4×C83C2×D411yescharacteristic
649C22⋊C4×C83C2×D411yescharacteristic
650C22⋊C4×C83C2×D411yescharacteristic
651C22⋊C4×C83C2×D411yescharacteristic
652C22⋊C4×C83C2×D411yescharacteristic
653C22⋊C4×C83C2×D411yescharacteristic
654C22⋊C4×C83C2×D411yescharacteristic
655C42×C83—21no—
656C42×C83—21no—
657C42×C83—21no—
658C42×C83—21no—
659C42×C83—21no—
660C42×C83—21no—
661C42×C83—21no—
662C42×C83—21no—
663C42×C83—21no—
664C42×C83—21no—
665C42×C83—21no—
666C42×C83C2×D411yescharacteristic
667C42×C83C2×D411yescharacteristic
668C42×C83C2411yescharacteristic
669C42×C83C2411yescharacteristic
670C42×C83C2411yescharacteristic
671C42×C83C2411yescharacteristic
672C23×C83—21no—
673C23×C83—21no—
674C23×C83—21no—
675C23×C83—42no—
676C23×C83—81no—
677C23×C83—81no—
678C23×C83C22×D411yescharacteristic
679C23×C83C22×D411yescharacteristic
680C23×C83C22×D411yescharacteristic
681Q8×C83—21no—
682Q8×C83—21no—
683Q8×C83—21no—
684Q8×C83—21no—
685Q8×C83—21no—
686Q8×C83—21no—
687Q8×C83—41no—
688Q8×C83—81no—
689Q8×C83—81no—
690Q8×C83—81no—
691Q8×C83—81no—
692Q8×C83—81no—
693Q8×C83—81no—
694Q8×C83—81no—
695D4×C83—21no—
696D4×C83—21no—
697D4×C83—21no—
698D4×C83—21no—
699D4×C83—21no—
700D4×C83—41no—
701D4×C83—41no—
702D4×C83—41no—
703D4×C83—42no—
704D4×C83—42no—
705D4×C83—42no—
706D4×C83—42no—
707D4×C83—81no—
708D4×C83—81no—
709D4×C83—81no—
710D4×C83—81no—
711D4×C832−1+412yes—
712C2×C4×C83—21no—
713C2×C4×C83—21no—
714C2×C4×C83—21no—
715C2×C4×C83—21no—
716C2×C4×C83—21no—
717C2×C4×C83—21no—
718C2×C4×C83—21no—
719C2×C4×C83—21no—
720C2×C4×C83—21no—
721C2×C4×C83—21no—
722C2×C4×C83—21no—
723C2×C4×C83—21no—
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—41no—
732C2×C4×C83—41no—
733C2×C4×C83—42no—
734C2×C4×C83—42no—
735C2×C4×C83—42no—
736C2×C4×C83—42no—
737C2×C4×C83—42no—
738C2×C4×C83—81no—
739C2×C4×C83—81no—
740C2×C4×C83—81no—
741C2×C4×C83—81no—
742C2×C4×C83—81no—
743C2×C4×C83—81no—
744C2×C4×C83—81no—
745C2×C4×C83—81no—
746C2×C4×C83—81no—
747C2×C4×C83—81no—
748C2×C4×C83—81no—
749C2×C4×C83C22×D411yescharacteristic
750C2×C4×C83C22×D411yescharacteristic
751C2×C4×C83C22×D411yescharacteristic
752C2×C4×C83C22×D411yescharacteristic
753C2×C4×C83C22×D411yescharacteristic
754C2×C4×C83C22×D411yescharacteristic
755C2×C4×C83C22×D411yescharacteristic
756C2×C4×C83C22×D411yescharacteristic
757C2×C4×C83C22×D411yescharacteristic
758C2×C4×C83C22×D411yescharacteristic
759C2×C4×C83C22×D411yescharacteristic
760C2×C4×C83C2511yescharacteristic
761C8×C83—21no—
762C8×C83—21no—
763C8×C83—21no—
764C8×C83—21no—
765C8×C83—21no—
766C8×C83—21no—
767C8×C83—21no—
768C8×C83—21no—
769C22×C83—21no—
770C22×C83—21no—
771C22×C83—21no—
772C22×C83—21no—
773C22×C83—21no—
774C22×C83—21no—
775C22×C83—21no—
776C22×C83—21no—
777C22×C83—21no—
778C22×C83—22no—
779C22×C83—41no—
780C22×C83—41no—
781C22×C83—41no—
782C22×C83—41no—
783C22×C83—41no—
784C22×C83—41no—
785C22×C83—41no—
786C22×C83—41no—
787C22×C83—162no—
788C22×C83C23×D411yescharacteristic
789C4×C83—21no—
790C4×C83—21no—
791C4×C83—21no—
792C4×C83—21no—
793C4×C83—21no—
794C4×C83—21no—
795C4×C83—21no—
796C4×C83—21no—
797C4×C83—21no—
798C4×C83—21no—
799C4×C83—21no—
800C4×C83—41no—
801C4×C83—41no—
802C4×C83—41no—
803C4×C83—41no—
804C4×C83—41no—
805C4×C83—41no—
806C4×C83—41no—
807C4×C83—41no—
808C4×C83—41no—
809C4×C83—41no—
810C4×C83—41no—
811C4×C83—41no—
812C4×C83—41no—
813C4×C83C2×2−1+411yescharacteristic
814C4×C83#58511yescharacteristic
815#62228C8311yesmaximal, characteristic, direct product factor, Sylow
816C2×C83—41no—
817C2×C83—41no—
818C2×C83—41no—
819C2×C83—42no—
820C2×C83—81no—
821C2×C83—81no—
822C2×C83#348911yescharacteristic
823C2×C83#358511yescharacteristic
824C2×C83#358611yescharacteristic
825#3544C2×C8311yescharacteristic, complemented
826#3521C2×C8311yescharacteristic, complemented
827#3389C2×C8311yescharacteristic, complemented
828#3385C2×C8311yescharacteristic, complemented
829#3376C2×C8311yescharacteristic, complemented
830#3369C2×C8311yescharacteristic, complemented
831#3353C2×C8311yescharacteristic, complemented
832#3351C2×C8311yescharacteristic, complemented
833#3349C2×C8311yescharacteristic, complemented
834#3348C2×C8311yescharacteristic, complemented
835#3345C2×C8311yescharacteristic, complemented
836#3344C2×C8311yescharacteristic, complemented
837#3330C2×C8311yescharacteristic, complemented
838#3323C2×C8311yescharacteristic, complemented
839#3319C2×C8311yescharacteristic, complemented
840#3315C2×C8311yescharacteristic, complemented
841#3314C2×C8311yescharacteristic, complemented
842#3306C2×C8311yescharacteristic, complemented
843#3262C2×C8311yescharacteristic, complemented
844#3258C2×C8311yescharacteristic, complemented
845#3256C2×C8311yescharacteristic, complemented
846#3243C2×C8311yescharacteristic, complemented
847#3242C2×C8311yescharacteristic, complemented
848#3239C2×C8311yescharacteristic, complemented
849#3125C2×C8311yescharacteristic, complemented
850#3118C2×C8311yescharacteristic, complemented
851#3111C2×C8311yescharacteristic, complemented
852#3084C2×C8311yescharacteristic, complemented
853#3081C2×C8311yescharacteristic, complemented
854#3079C2×C8311yescharacteristic, complemented
855#2995C2×C8311yescharacteristic, complemented
856C83#6222811yescharacteristic, direct product factor, Sylow
857#563—21no—
858#563—21no—
859Q82C22×C8311yescharacteristic, complemented
860#556C22×C8311yescharacteristic
861#556C22×C8311yescharacteristic
862#555C22×C8311yescharacteristic
863#554C22×C8311yescharacteristic
864#554C22×C8311yescharacteristic
865#554C22×C8311yescharacteristic, complemented
866#553—21no—
867#553C22×C8311yescharacteristic
868#552—21no—
869#552—21no—
870#552C22×C8311yescharacteristic
871#552C22×C8311yescharacteristic
872#552C22×C8311yescharacteristic, complemented
873#551—21no—
874#551—21no—
875#547—21no—
876#547C22×C8311yescharacteristic
877#547C22×C8311yescharacteristic
878#547C22×C8311yescharacteristic, complemented
879#546C22×C8311yescharacteristic
880#546C22×C8311yescharacteristic
881#544—21no—
882#544C22×C8311yescharacteristic
883#544C22×C8311yescharacteristic, complemented
884#542—21no—
885#542C22×C8311yescharacteristic
886#542C22×C8311yescharacteristic
887#542C22×C8311yescharacteristic, complemented
888#541C22×C8311yescharacteristic
889#539—21no—
890#538—21no—
891#536—21no—
892#536—21no—
893C2×C4⋊Q8C22×C8311yescharacteristic, complemented
894#529—21no—
895#529C22×C8311yescharacteristic
896#529C22×C8311yescharacteristic
897#529C22×C8311yescharacteristic, complemented
898C2×#126—21no—
899#520C22×C8311yescharacteristic
900#518C22×C8311yescharacteristic
901C4×#41C22×C8311yescharacteristic
902#501C22×C8311yescharacteristic, complemented
903#501C22×C8311yescharacteristic, complemented
904#501C22×C8311yescharacteristic, complemented
905#501C22×C8311yescharacteristic, complemented
906#500C22×C8311yescharacteristic, complemented
907#499C22×C8311yescharacteristic, complemented
908#491C22×C8311yescharacteristic, complemented
909#489C22×C8311yescharacteristic
910#489C22×C8311yescharacteristic
911#489C22×C8311yescharacteristic
912#488C22×C8311yescharacteristic
913#487C22×C8311yescharacteristic, complemented
914#485C22×C8311yescharacteristic
915#485C22×C8311yescharacteristic
916#485C22×C8311yescharacteristic
917#485C22×C8311yescharacteristic, complemented
918#485C22×C8311yescharacteristic, complemented
919#484C22×C8311yescharacteristic
920#484C22×C8311yescharacteristic, complemented
921#484C22×C8311yescharacteristic, complemented
922#484C22×C8311yescharacteristic, complemented
923#483C22×C8311yescharacteristic
924#483C22×C8311yescharacteristic, complemented
925#482C22×C8311yescharacteristic
926#482C22×C8311yescharacteristic
927#482C22×C8311yescharacteristic, complemented
928#481C22×C8311yescharacteristic
929#481C22×C8311yescharacteristic
930#481C22×C8311yescharacteristic, complemented
931#480C22×C8311yescharacteristic
932#479C22×C8311yescharacteristic, complemented
933#479C22×C8311yescharacteristic, complemented
934#479C22×C8311yescharacteristic, complemented
935#479C22×C8311yescharacteristic, complemented
936#479C22×C8311yescharacteristic, complemented
937#478C22×C8311yescharacteristic
938#478C22×C8311yescharacteristic
939#478C22×C8311yescharacteristic
940#478C22×C8311yescharacteristic
941#478C22×C8311yescharacteristic
942#478C22×C8311yescharacteristic, complemented
943#478C22×C8311yescharacteristic, complemented
944#477C22×C8311yescharacteristic, complemented
945#477C22×C8311yescharacteristic, complemented
946#477C22×C8311yescharacteristic, complemented
947#476C22×C8311yescharacteristic
948#476C22×C8311yescharacteristic
949#476C22×C8311yescharacteristic
950#476C22×C8311yescharacteristic
951#475C22×C8311yescharacteristic, complemented
952#475C22×C8311yescharacteristic, complemented
953#475C22×C8311yescharacteristic, complemented
954#475C22×C8311yescharacteristic, complemented
955#475C22×C8311yescharacteristic, complemented
956#474C22×C8311yescharacteristic
957#474C22×C8311yescharacteristic
958#474C22×C8311yescharacteristic
959#474C22×C8311yescharacteristic
960#474C22×C8311yescharacteristic
961#474C22×C8311yescharacteristic, complemented
962#470C22×C8311yescharacteristic
963#470C22×C8311yescharacteristic, complemented
964#469C22×C8311yescharacteristic
965#468C22×C8311yescharacteristic
966#468C22×C8311yescharacteristic
967#468C22×C8311yescharacteristic
968#468C22×C8311yescharacteristic, complemented
969#468C22×C8311yescharacteristic, complemented
970#467C22×C8311yescharacteristic
971#467C22×C8311yescharacteristic, complemented
972#466C22×C8311yescharacteristic
973#465C22×C8311yescharacteristic
974#464C22×C8311yescharacteristic
975#464C22×C8311yescharacteristic
976#464C22×C8311yescharacteristic, complemented
977#464C22×C8311yescharacteristic, complemented
978#463C22×C8311yescharacteristic
979#463C22×C8311yescharacteristic
980#463C22×C8311yescharacteristic
981#463C22×C8311yescharacteristic
982#462C22×C8311yescharacteristic, complemented
983#461C22×C8311yescharacteristic, complemented
984#452C22×C8311yescharacteristic
985#452C22×C8311yescharacteristic
986#450C22×C8311yescharacteristic
987#449C22×C8311yescharacteristic
988#449C22×C8311yescharacteristic
989#447C22×C8311yescharacteristic
990#446C22×C8311yescharacteristic, complemented
991#446C22×C8311yescharacteristic, complemented
992#442C22×C8311yescharacteristic
993#442C22×C8311yescharacteristic
994#442C22×C8311yescharacteristic
995#441C22×C8311yescharacteristic, complemented
996#441C22×C8311yescharacteristic, complemented
997#440C22×C8311yescharacteristic
998#440C22×C8311yescharacteristic
999#440C22×C8311yescharacteristic, complemented
1000C4×SD16C22×C8311yescharacteristic
1001C4×SD16C22×C8311yescharacteristic
1002C4×SD16C22×C8311yescharacteristic, complemented
1003C4×D8C22×C8311yescharacteristic
1004#436C22×C8311yescharacteristic
1005#436C22×C8311yescharacteristic, complemented
1006#435C22×C8311yescharacteristic
1007#435C22×C8311yescharacteristic
1008#435C22×C8311yescharacteristic
1009#435C22×C8311yescharacteristic, complemented
1010#433C22×C8311yescharacteristic
1011#433C22×C8311yescharacteristic, complemented
1012#432C22×C8311yescharacteristic, complemented
1013#428C22×C8311yescharacteristic
1014#428C22×C8311yescharacteristic, complemented
1015#428C22×C8311yescharacteristic, complemented
1016#428C22×C8311yescharacteristic, complemented
1017#427C22×C8311yescharacteristic
1018C2×#106C22×C8311yescharacteristic, complemented
1019#424C22×C8311yescharacteristic
1020#424C22×C8311yescharacteristic, complemented
1021#423C22×C8311yescharacteristic, complemented
1022#418C22×C8311yescharacteristic
1023#417C22×C8311yescharacteristic
1024#417C22×C8311yescharacteristic
1025#417C22×C8311yescharacteristic
1026#416C22×C8311yescharacteristic
1027C2×#102C22×C8311yescharacteristic
1028C2×#41—21no—
1029C2×#41—21no—
1030C2×#41C23×C8311yescharacteristic
1031C2×#41C23×C8311yescharacteristic
1032C22×Q8—21no—
1033C22×D4C23×C8311yescharacteristic
1034C2×Q16C23×C8311yescharacteristic
1035C2×Q16C23×C8311yescharacteristic
1036C2×SD16C23×C8311yescharacteristic
1037C2×SD16C23×C8311yescharacteristic
1038C2×SD16C23×C8311yescharacteristic
1039C2×SD16C23×C8311yescharacteristic
1040C2×D8C23×C8311yescharacteristic
1041C2×D8C23×C8311yescharacteristic
1042C2×M16C23×C8311yescharacteristic
1043C2×M16C23×C8311yescharacteristic
1044C2×M16C23×C8311yescharacteristic
1045C2×M16C23×C8311yescharacteristic
1046C22×C8C23×C8311yescharacteristic
1047C22×C8C23×C8311yescharacteristic
1048C4⋊Q8—21no—
1049C4⋊Q8—21no—
1050C4⋊Q8—21no—
1051C4⋊Q8—21no—
1052C4⋊Q8—21no—
1053C4⋊Q8—21no—
1054C4⋊Q8—21no—
1055C4⋊Q8C23×C8311yescharacteristic
1056C4⋊Q8C23×C8311yescharacteristic
1057C4⋊Q8C23×C8311yescharacteristic
1058C4⋊Q8C23×C8311yescharacteristic
1059C4⋊Q8C23×C8311yescharacteristic
1060C4⋊Q8C23×C8311yescharacteristic
1061C4⋊Q8C23×C8311yescharacteristic
1062C4⋊Q8C23×C8311yescharacteristic
1063#126—21no—
1064#126—21no—
1065#126—21no—
1066#126—21no—
1067#126—21no—
1068#126—21no—
1069#126—21no—
1070#126—21no—
1071#126—21no—
1072#126—21no—
1073#126—21no—
1074#126—21no—
1075#126—21no—
1076#126—21no—
1077#126—21no—
1078#126D4×C8311yescharacteristic
1079#126D4×C8311yescharacteristic
1080#125—21no—
1081#125—21no—
1082#125—21no—
1083#125—21no—
1084#125—21no—
1085#125—21no—
1086#125—21no—
1087#125—21no—
1088#125D4×C8311yescharacteristic
1089#125C23×C8311yescharacteristic
1090#125C23×C8311yescharacteristic
1091#125C23×C8311yescharacteristic
1092#125C23×C8311yescharacteristic
1093#125C23×C8311yescharacteristic
1094#124—21no—
1095#124—21no—
1096#124—21no—
1097#124—21no—
1098#124—21no—
1099#124—21no—
1100#124D4×C8311yescharacteristic
1101#124C23×C8311yescharacteristic
1102#124C23×C8311yescharacteristic
1103#124C23×C8311yescharacteristic
1104#123—21no—
1105#123—21no—
1106#123—21no—
1107#123—21no—
1108#123—21no—
1109#123—21no—
1110#123—21no—
1111#123—21no—
1112#123—21no—
1113#123—21no—
1114#123—21no—
1115#123—21no—
1116#123—21no—
1117#123—21no—
1118#123—21no—
1119#123—21no—
1120#123—21no—
1121#123D4×C8311yescharacteristic
1122#123D4×C8311yescharacteristic
1123C22⋊Q8—21no—
1124C22⋊Q8—21no—
1125C22⋊Q8—21no—
1126C22⋊Q8—21no—
1127C22⋊Q8—21no—
1128C22⋊Q8—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—21no—
1131C22⋊Q8—21no—
1132C22⋊Q8—21no—
1133C22⋊Q8—21no—
1134C22⋊Q8—21no—
1135C22⋊Q8—21no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—21no—
1139C22⋊Q8—21no—
1140C22⋊Q8—21no—
1141C22⋊Q8D4×C8311yescharacteristic
1142C22⋊Q8C23×C8311yescharacteristic
1143C22⋊Q8C23×C8311yescharacteristic
1144C22⋊Q8C23×C8311yescharacteristic
1145C22⋊Q8C23×C8311yescharacteristic
1146C22⋊Q8C23×C8311yescharacteristic
1147C22⋊Q8C23×C8311yescharacteristic
1148C22⋊Q8C23×C8311yescharacteristic
1149#121—21no—
1150#121—21no—
1151#121—21no—
1152#121—21no—
1153#121—21no—
1154#121D4×C8311yescharacteristic
1155#121C23×C8311yescharacteristic
1156#121C23×C8311yescharacteristic
1157#121C23×C8311yescharacteristic
1158#121C23×C8311yescharacteristic
1159#121C23×C8311yescharacteristic
1160#120—21no—
1161#120—21no—
1162C4×Q8—21no—
1163C4×Q8—21no—
1164C4×Q8C23×C8311yescharacteristic
1165C4×Q8C23×C8311yescharacteristic
1166C4×Q8C23×C8311yescharacteristic
1167C4×Q8C23×C8311yescharacteristic
1168C4×Q8C23×C8311yescharacteristic
1169C4×Q8C23×C8311yescharacteristic
1170C4×Q8C23×C8311yescharacteristic
1171C4×Q8C23×C8311yescharacteristic
1172C4×D4—21no—
1173C4×D4—21no—
1174C4×D4—21no—
1175C4×D4—21no—
1176C4×D4—21no—
1177C4×D4—21no—
1178C4×D4—21no—
1179C4×D4—21no—
1180C4×D4—21no—
1181C4×D4—21no—
1182C4×D4C23×C8311yescharacteristic
1183C4×D4C23×C8311yescharacteristic
1184C4×D4C23×C8311yescharacteristic
1185C4×D4C23×C8311yescharacteristic
1186C4×D4C23×C8311yescharacteristic
1187C4×D4C23×C8311yescharacteristic
1188C4×D4C23×C8311yescharacteristic
1189C4×D4C23×C8311yescharacteristic
1190C4×D4C23×C8311yescharacteristic
1191C4×D4C23×C8311yescharacteristic
1192C4×D4C23×C8311yescharacteristic
1193C4×D4C23×C8311yescharacteristic
1194#117—21no—
1195#117—21no—
1196#117—21no—
1197#117—21no—
1198#117—21no—
1199#117—21no—
1200#117—21no—
1201#117—21no—
1202#117—21no—
1203#117C23×C8311yescharacteristic
1204#117C23×C8311yescharacteristic
1205#117C23×C8311yescharacteristic
1206#117C23×C8311yescharacteristic
1207#117C23×C8311yescharacteristic
1208#117C23×C8311yescharacteristic
1209C2×C4⋊C4—21no—
1210C2×C4⋊C4—21no—
1211C2×C4⋊C4—21no—
1212C2×C4⋊C4—21no—
1213C2×C4⋊C4—21no—
1214C2×C4⋊C4C23×C8311yescharacteristic
1215C2×C4⋊C4C23×C8311yescharacteristic
1216C2×C4⋊C4C23×C8311yescharacteristic
1217C2×C4⋊C4C23×C8311yescharacteristic
1218C2×C4⋊C4C23×C8311yescharacteristic
1219C2×C22⋊C4—21no—
1220C2×C22⋊C4—21no—
1221C2×C22⋊C4—21no—
1222C2×C22⋊C4—21no—
1223C2×C42—21no—
1224C2×C42C23×C8311yescharacteristic
1225#107C23×C8311yescharacteristic
1226#107C23×C8311yescharacteristic
1227#107C23×C8311yescharacteristic
1228#107C23×C8311yescharacteristic
1229#107C23×C8311yescharacteristic
1230#107C23×C8311yescharacteristic
1231#107C23×C8311yescharacteristic
1232#107C23×C8311yescharacteristic
1233#107C23×C8311yescharacteristic
1234#107C23×C8311yescharacteristic
1235#107C23×C8311yescharacteristic
1236#107C23×C8311yescharacteristic
1237#106C23×C8311yescharacteristic
1238#106C23×C8311yescharacteristic
1239#106C23×C8311yescharacteristic
1240#106C23×C8311yescharacteristic
1241#106C23×C8311yescharacteristic
1242#106C23×C8311yescharacteristic
1243#106C23×C8311yescharacteristic
1244#106C23×C8311yescharacteristic
1245#106C23×C8311yescharacteristic
1246#106C23×C8311yescharacteristic
1247#106C23×C8311yescharacteristic
1248#106C23×C8311yescharacteristic
1249C4⋊C8C23×C8311yescharacteristic
1250C4⋊C8C23×C8311yescharacteristic
1251C4⋊C8C23×C8311yescharacteristic
1252C4⋊C8C23×C8311yescharacteristic
1253C4⋊C8C23×C8311yescharacteristic
1254C4⋊C8C23×C8311yescharacteristic
1255C4⋊C8C23×C8311yescharacteristic
1256C4⋊C8C23×C8311yescharacteristic
1257C4⋊C8C23×C8311yescharacteristic
1258C4⋊C8C23×C8311yescharacteristic
1259#103C23×C8311yescharacteristic
1260#103C23×C8311yescharacteristic
1261#103C23×C8311yescharacteristic
1262#103C23×C8311yescharacteristic
1263#103C23×C8311yescharacteristic
1264#103C23×C8311yescharacteristic
1265#103C23×C8311yescharacteristic
1266#103C23×C8311yescharacteristic
1267#103C23×C8311yescharacteristic
1268#103C23×C8311yescharacteristic
1269#103C23×C8311yescharacteristic
1270#103C23×C8311yescharacteristic
1271#103C23×C8311yescharacteristic
1272#103C23×C8311yescharacteristic
1273#103C23×C8311yescharacteristic
1274#103C23×C8311yescharacteristic
1275#102C23×C8311yescharacteristic
1276#102C23×C8311yescharacteristic
1277#102C23×C8311yescharacteristic
1278#102C23×C8311yescharacteristic
1279#102C23×C8311yescharacteristic
1280#102C23×C8311yescharacteristic
1281#102C23×C8311yescharacteristic
1282#102C23×C8311yescharacteristic
1283#102C23×C8311yescharacteristic
1284#102C23×C8311yescharacteristic
1285#102C23×C8311yescharacteristic
1286#102C23×C8311yescharacteristic
1287#102C23×C8311yescharacteristic
1288#102C23×C8311yescharacteristic
1289#102C23×C8311yescharacteristic
1290#102C23×C8311yescharacteristic
1291C22⋊C8C23×C8311yescharacteristic
1292C22⋊C8C23×C8311yescharacteristic
1293C22⋊C8C23×C8311yescharacteristic
1294C22⋊C8C23×C8311yescharacteristic
1295C22⋊C8C23×C8311yescharacteristic
1296C22⋊C8C23×C8311yescharacteristic
1297#97C23×C8311yescharacteristic
1298#97C23×C8311yescharacteristic
1299#97C23×C8311yescharacteristic
1300#97C23×C8311yescharacteristic
1301C4×C8C23×C8311yescharacteristic
1302C4×C8C23×C8311yescharacteristic
1303C24—21no—
1304#41—22no—
1305#41—22no—
1306#41—41no—
1307#41—41no—
1308#41—82no—
1309#41—82no—
1310C2×Q8—21no—
1311C2×Q8—21no—
1312C2×Q8—21no—
1313C2×Q8—21no—
1314C2×Q8—21no—
1315C2×Q8—21no—
1316C2×Q8—21no—
1317C2×Q8—82no—
1318C2×Q8C2×D4×C8311yescharacteristic
1319C2×Q8C24×C8311yescharacteristic
1320C2×Q8C24×C8311yescharacteristic
1321C2×Q8C24×C8311yescharacteristic
1322C2×D4—22no—
1323C2×D4—21no—
1324C2×D4—21no—
1325C2×D4—21no—
1326C2×D4—21no—
1327C2×D4—21no—
1328C2×D4—21no—
1329C2×D4—21no—
1330C2×D4—21no—
1331C2×D4—41no—
1332C2×D4C2×D4×C8311yescharacteristic
1333C2×D4C2×D4×C8311yescharacteristic
1334C2×D4C2×D4×C8311yescharacteristic
1335C2×D4C24×C8311yescharacteristic
1336C2×D4C24×C8311yescharacteristic
1337C2×D4C24×C8311yescharacteristic
1338C22×C4—21no—
1339C22×C4—21no—
1340C22×C4—21no—
1341C22×C4—21no—
1342C22×C4—21no—
1343C22×C4—21no—
1344C22×C4—21no—
1345C22×C4—21no—
1346C22×C4—21no—
1347C22×C4—21no—
1348C22×C4—21no—
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4C2×D4×C8311yescharacteristic
1355C22×C4C2×D4×C8311yescharacteristic
1356C22×C4C24×C8311yescharacteristic
1357C22×C4C24×C8311yescharacteristic
1358C22×C4C24×C8311yescharacteristic
1359Q16—41no—
1360Q16—41no—
1361SD16—22no—
1362SD16—41no—
1363SD16—41no—
1364SD16—41no—
1365D8—22no—
1366D8—41no—
1367M16—41no—
1368M16—41no—
1369M16—41no—
1370M16—41no—
1371C2×C8—41no—
1372C2×C8—41no—
1373C2×C8C24×C8311yescharacteristic
1374C2×C8C24×C8311yescharacteristic
1375C2×C8C24×C8311yescharacteristic
1376C2×C8C24×C8311yescharacteristic
1377C2×C8C24×C8311yescharacteristic
1378C2×C8C24×C8311yescharacteristic
1379C2×C8C24×C8311yescharacteristic
1380C2×C8C24×C8311yescharacteristic
1381C4⋊C4—21no—
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—21no—
1385C4⋊C4—21no—
1386C4⋊C4—21no—
1387C4⋊C4—21no—
1388C4⋊C4—21no—
1389C4⋊C4—21no—
1390C4⋊C4—21no—
1391C4⋊C4—21no—
1392C4⋊C4—21no—
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
1406C4⋊C4—21no—
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⋊C4C2×D4×C8311yescharacteristic
1420C4⋊C4C2×D4×C8311yescharacteristic
1421C4⋊C4C2×D4×C8311yescharacteristic
1422C4⋊C4C2×D4×C8311yescharacteristic
1423C4⋊C4C2×D4×C8311yescharacteristic
1424C4⋊C4C2×D4×C8311yescharacteristic
1425C4⋊C4C2×D4×C8311yescharacteristic
1426C4⋊C4C2×D4×C8311yescharacteristic
1427C4⋊C4C2×D4×C8311yescharacteristic
1428C4⋊C4C2×D4×C8311yescharacteristic
1429C4⋊C4C24×C8311yescharacteristic
1430C4⋊C4C24×C8311yescharacteristic
1431C4⋊C4C24×C8311yescharacteristic
1432C4⋊C4C24×C8311yescharacteristic
1433C4⋊C4C24×C8311yescharacteristic
1434C4⋊C4C24×C8311yescharacteristic
1435C4⋊C4C24×C8311yescharacteristic
1436C4⋊C4C24×C8311yescharacteristic
1437C4⋊C4C24×C8311yescharacteristic
1438C4⋊C4C24×C8311yescharacteristic
1439C22⋊C4—21no—
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—21no—
1445C22⋊C4—21no—
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
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⋊C4C2×D4×C8311yescharacteristic
1471C22⋊C4C2×D4×C8311yescharacteristic
1472C22⋊C4C2×D4×C8311yescharacteristic
1473C22⋊C4C2×D4×C8311yescharacteristic
1474C22⋊C4C2×D4×C8311yescharacteristic
1475C22⋊C4C2×D4×C8311yescharacteristic
1476C22⋊C4C2×D4×C8311yescharacteristic
1477C22⋊C4C2×D4×C8311yescharacteristic
1478C22⋊C4C2×D4×C8311yescharacteristic
1479C22⋊C4C2×D4×C8311yescharacteristic
1480C42—21no—
1481C42—21no—
1482C42—21no—
1483C42—21no—
1484C42—21no—
1485C42—21no—
1486C42—21no—
1487C42—21no—
1488C42—21no—
1489C42—21no—
1490C42—21no—
1491C42C2×D4×C8311yescharacteristic
1492C42C2×D4×C8311yescharacteristic
1493C42C24×C8311yescharacteristic
1494C42C24×C8311yescharacteristic
1495C42C24×C8311yescharacteristic
1496C42C24×C8311yescharacteristic
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—42no—
1501C23—81no—
1502C23—81no—
1503C23C22×D4×C8311yescharacteristic
1504C23C22×D4×C8311yescharacteristic
1505C23C22×D4×C8311yescharacteristic
1506Q8—21no—
1507Q8—21no—
1508Q8—21no—
1509Q8—21no—
1510Q8—21no—
1511Q8—21no—
1512Q8—41no—
1513Q8—81no—
1514Q8—81no—
1515Q8—81no—
1516Q8—81no—
1517Q8—81no—
1518Q8—81no—
1519Q8—81no—
1520D4—21no—
1521D4—21no—
1522D4—21no—
1523D4—21no—
1524D4—21no—
1525D4—41no—
1526D4—41no—
1527D4—41no—
1528D4—42no—
1529D4—42no—
1530D4—42no—
1531D4—42no—
1532D4—81no—
1533D4—81no—
1534D4—81no—
1535D4—81no—
1536D42−1+4×C8312yes—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—41no—
1557C2×C4—41no—
1558C2×C4—42no—
1559C2×C4—42no—
1560C2×C4—42no—
1561C2×C4—42no—
1562C2×C4—42no—
1563C2×C4—81no—
1564C2×C4—81no—
1565C2×C4—81no—
1566C2×C4—81no—
1567C2×C4—81no—
1568C2×C4—81no—
1569C2×C4—81no—
1570C2×C4—81no—
1571C2×C4—81no—
1572C2×C4—81no—
1573C2×C4—81no—
1574C2×C4C22×D4×C8311yescharacteristic
1575C2×C4C22×D4×C8311yescharacteristic
1576C2×C4C22×D4×C8311yescharacteristic
1577C2×C4C22×D4×C8311yescharacteristic
1578C2×C4C22×D4×C8311yescharacteristic
1579C2×C4C22×D4×C8311yescharacteristic
1580C2×C4C22×D4×C8311yescharacteristic
1581C2×C4C22×D4×C8311yescharacteristic
1582C2×C4C22×D4×C8311yescharacteristic
1583C2×C4C22×D4×C8311yescharacteristic
1584C2×C4C22×D4×C8311yescharacteristic
1585C2×C4C25×C8311yescharacteristic
1586C8—21no—
1587C8—21no—
1588C8—21no—
1589C8—21no—
1590C8—21no—
1591C8—21no—
1592C8—21no—
1593C8—21no—
1594C22—21no—
1595C22—21no—
1596C22—21no—
1597C22—21no—
1598C22—21no—
1599C22—21no—
1600C22—21no—
1601C22—21no—
1602C22—21no—
1603C22—22no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—162no—
1613C22C23×D4×C8311yescharacteristic
1614C4—21no—
1615C4—21no—
1616C4—21no—
1617C4—21no—
1618C4—21no—
1619C4—21no—
1620C4—21no—
1621C4—21no—
1622C4—21no—
1623C4—21no—
1624C4—21no—
1625C4—41no—
1626C4—41no—
1627C4—41no—
1628C4—41no—
1629C4—41no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4C2×2−1+4×C8311yescharacteristic
1639C4#585×C8311yescharacteristic
1640C2—41no—
1641C2—41no—
1642C2—41no—
1643C2—42no—
1644C2—81no—
1645C2—81no—
1646C2C83×#348911yescharacteristic
1647C2C83×#358511yescharacteristic
1648C2C83×#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×#3521C2semidirect
3. C83×#3389C2semidirect
4. C83×#3385C2semidirect
5. C83×#3376C2semidirect
6. C83×#3369C2semidirect
7. C83×#3353C2semidirect
8. C83×#3351C2semidirect
9. C83×#3349C2semidirect
10. C83×#3348C2semidirect
11. C83×#3345C2semidirect
12. C83×#3344C2semidirect
13. C83×#3330C2semidirect
14. C83×#3323C2semidirect
15. C83×#3319C2semidirect
16. C83×#3315C2semidirect
17. C83×#3314C2semidirect
18. C83×#3306C2semidirect
19. C83×#3262C2semidirect
20. C83×#3258C2semidirect
21. C83×#3256C2semidirect
22. C83×#3243C2semidirect
23. C83×#3242C2semidirect
24. C83×#3239C2semidirect
25. C83×#3125C2semidirect
26. C83×#3118C2semidirect
27. C83×#3111C2semidirect
28. C83×#3084C2semidirect
29. C83×#3081C2semidirect
30. C83×#3079C2semidirect
31. C83×#2995C2semidirect
34. Q82×C83C22semidirect
40. #554×C83C22semidirect
47. #552×C83C22semidirect
53. #547×C83C22semidirect
58. #544×C83C22semidirect
62. #542×C83C22semidirect
68. C2×C4⋊Q8×C83C22semidirect
72. #529×C83C22semidirect
77. #501×C83C22semidirect
78. #501×C83C22semidirect
79. #501×C83C22semidirect
80. #501×C83C22semidirect
81. #500×C83C22semidirect
82. #499×C83C22semidirect
83. #491×C83C22semidirect
88. #487×C83C22semidirect
92. #485×C83C22semidirect
93. #485×C83C22semidirect
95. #484×C83C22semidirect
96. #484×C83C22semidirect
97. #484×C83C22semidirect
99. #483×C83C22semidirect
102. #482×C83C22semidirect
105. #481×C83C22semidirect
107. #479×C83C22semidirect
108. #479×C83C22semidirect
109. #479×C83C22semidirect
110. #479×C83C22semidirect
111. #479×C83C22semidirect
117. #478×C83C22semidirect
118. #478×C83C22semidirect
119. #477×C83C22semidirect
120. #477×C83C22semidirect
121. #477×C83C22semidirect
126. #475×C83C22semidirect
127. #475×C83C22semidirect
128. #475×C83C22semidirect
129. #475×C83C22semidirect
130. #475×C83C22semidirect
136. #474×C83C22semidirect
138. #470×C83C22semidirect
143. #468×C83C22semidirect
144. #468×C83C22semidirect
146. #467×C83C22semidirect
151. #464×C83C22semidirect
152. #464×C83C22semidirect
157. #462×C83C22semidirect
158. #461×C83C22semidirect
165. #446×C83C22semidirect
166. #446×C83C22semidirect
170. #441×C83C22semidirect
171. #441×C83C22semidirect
174. #440×C83C22semidirect
177. C4×SD16×C83C22semidirect
180. #436×C83C22semidirect
184. #435×C83C22semidirect
186. #433×C83C22semidirect
187. #432×C83C22semidirect
189. #428×C83C22semidirect
190. #428×C83C22semidirect
191. #428×C83C22semidirect
193. C2×#106×C83C22semidirect
195. #424×C83C22semidirect
196. #423×C83C22semidirect
815. #62228C83direct (N × H)
825. #3544C2×C83semidirect
826. #3521C2×C83semidirect
827. #3389C2×C83semidirect
828. #3385C2×C83semidirect
829. #3376C2×C83semidirect
830. #3369C2×C83semidirect
831. #3353C2×C83semidirect
832. #3351C2×C83semidirect
833. #3349C2×C83semidirect
834. #3348C2×C83semidirect
835. #3345C2×C83semidirect
836. #3344C2×C83semidirect
837. #3330C2×C83semidirect
838. #3323C2×C83semidirect
839. #3319C2×C83semidirect
840. #3315C2×C83semidirect
841. #3314C2×C83semidirect
842. #3306C2×C83semidirect
843. #3262C2×C83semidirect
844. #3258C2×C83semidirect
845. #3256C2×C83semidirect
846. #3243C2×C83semidirect
847. #3242C2×C83semidirect
848. #3239C2×C83semidirect
849. #3125C2×C83semidirect
850. #3118C2×C83semidirect
851. #3111C2×C83semidirect
852. #3084C2×C83semidirect
853. #3081C2×C83semidirect
854. #3079C2×C83semidirect
855. #2995C2×C83semidirect
856. C83#62228direct (N × H)
859. Q82C22×C83semidirect
865. #554C22×C83semidirect
872. #552C22×C83semidirect
878. #547C22×C83semidirect
883. #544C22×C83semidirect
887. #542C22×C83semidirect
893. C2×C4⋊Q8C22×C83semidirect
897. #529C22×C83semidirect
902. #501C22×C83semidirect
903. #501C22×C83semidirect
904. #501C22×C83semidirect
905. #501C22×C83semidirect
906. #500C22×C83semidirect
907. #499C22×C83semidirect
908. #491C22×C83semidirect
913. #487C22×C83semidirect
917. #485C22×C83semidirect
918. #485C22×C83semidirect
920. #484C22×C83semidirect
921. #484C22×C83semidirect
922. #484C22×C83semidirect
924. #483C22×C83semidirect
927. #482C22×C83semidirect
930. #481C22×C83semidirect
932. #479C22×C83semidirect
933. #479C22×C83semidirect
934. #479C22×C83semidirect
935. #479C22×C83semidirect
936. #479C22×C83semidirect
942. #478C22×C83semidirect
943. #478C22×C83semidirect
944. #477C22×C83semidirect
945. #477C22×C83semidirect
946. #477C22×C83semidirect
951. #475C22×C83semidirect
952. #475C22×C83semidirect
953. #475C22×C83semidirect
954. #475C22×C83semidirect
955. #475C22×C83semidirect
961. #474C22×C83semidirect
963. #470C22×C83semidirect
968. #468C22×C83semidirect
969. #468C22×C83semidirect
971. #467C22×C83semidirect
976. #464C22×C83semidirect
977. #464C22×C83semidirect
982. #462C22×C83semidirect
983. #461C22×C83semidirect
990. #446C22×C83semidirect
991. #446C22×C83semidirect
995. #441C22×C83semidirect
996. #441C22×C83semidirect
999. #440C22×C83semidirect
1002. C4×SD16C22×C83semidirect
1005. #436C22×C83semidirect
1009. #435C22×C83semidirect
1011. #433C22×C83semidirect
1012. #432C22×C83semidirect
1014. #428C22×C83semidirect
1015. #428C22×C83semidirect
1016. #428C22×C83semidirect
1018. C2×#106C22×C83semidirect
1020. #424C22×C83semidirect
1021. #423C22×C83semidirect

Maximal subgroups

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

subgroupindex
C83×#35442
C83×#35212
C83×#33892
C83×#33852
C83×#33762
C83×#33692
C83×#33532
C83×#33512
C83×#33492
C83×#33482
C83×#33452
C83×#33442
C83×#33302
C83×#33232
C83×#33192
C83×#33152
C83×#33142
C83×#33062
C83×#32622
C83×#32582
C83×#32562
C83×#32432
C83×#32422
C83×#32392
C83×#31252
C83×#31182
C83×#31112
C83×#30842
C83×#30812
C83×#30792
C83×#29952
#6222883