Finite Group Databasebeta

← C83×#61746 #35289570

Subgroups — C83×#61746 #35289570

Order 21248.

1798 conjugacy classes of subgroups.

The subgroup lattice has 1748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C83×#3542C211yesmaximal, characteristic, complemented
2C83×#3492C211yesmaximal, characteristic, complemented
3C83×#3354C211yesmaximal, characteristic, complemented
4C83×#3351C211yesmaximal, characteristic, complemented
5C83×#3348C211yesmaximal, characteristic, complemented
6C83×#3345C211yesmaximal, characteristic, complemented
7C83×#3345C211yesmaximal, characteristic, complemented
8C83×#3344C211yesmaximal, characteristic, complemented
9C83×#3337C211yesmaximal, characteristic, complemented
10C83×#3335C211yesmaximal, characteristic, complemented
11C83×#3332C211yesmaximal, characteristic, complemented
12C83×#3323C211yesmaximal, characteristic, complemented
13C83×#3318C211yesmaximal, characteristic, complemented
14C83×#3317C211yesmaximal, characteristic, complemented
15C83×#3314C211yesmaximal, characteristic, complemented
16C83×#3306C211yesmaximal, characteristic, complemented
17C83×#3297C211yesmaximal, characteristic, complemented
18C83×#3295C211yesmaximal, characteristic, complemented
19C83×#3244C211yesmaximal, characteristic, complemented
20C83×#3241C211yesmaximal, characteristic, complemented
21C83×#3204C211yesmaximal, characteristic, complemented
22C83×#3198C211yesmaximal, characteristic, complemented
23C83×#3194C211yesmaximal, characteristic, complemented
24C83×#3191C211yesmaximal, characteristic, complemented
25C83×#3125C211yesmaximal, characteristic, complemented
26C83×#3119C211yesmaximal, characteristic, complemented
27C83×#3099C211yesmaximal, characteristic, complemented
28C83×#3096C211yesmaximal, characteristic, complemented
29C83×#3092C211yesmaximal, characteristic, complemented
30C2×#481×C83C211yesmaximal, characteristic, complemented
31C83×#2976C211yesmaximal, characteristic, complemented
32#562×C83—21no—
33#560×C83—21no—
34#555×C83C2211yescharacteristic
35#554×C83—21no—
36#554×C83C2211yescharacteristic
37#554×C83C2211yescharacteristic, complemented
38#553×C83—21no—
39#553×C83C2211yescharacteristic
40#553×C83C2211yescharacteristic
41#553×C83C2211yescharacteristic, complemented
42#552×C83—21no—
43#552×C83C2211yescharacteristic
44#552×C83C2211yescharacteristic, complemented
45#552×C83C2211yescharacteristic, complemented
46#551×C83—21no—
47#550×C83C2211yescharacteristic
48#547×C83—21no—
49#547×C83C2211yescharacteristic
50#547×C83C2211yescharacteristic, complemented
51#547×C83C2211yescharacteristic, complemented
52#546×C83—21no—
53#546×C83C2211yescharacteristic
54#546×C83C2211yescharacteristic
55D42×C83C2211yescharacteristic
56#544×C83C2211yescharacteristic, complemented
57#542×C83C2211yescharacteristic
58#540×C83—21no—
59#540×C83C2211yescharacteristic
60#539×C83—21no—
61#539×C83—21no—
62#538×C83—21no—
63#537×C83C2211yescharacteristic
64#537×C83C2211yescharacteristic, complemented
65#535×C83—21no—
66#535×C83C2211yescharacteristic
67#534×C83—21no—
68#525×C83—21no—
69#525×C83—21no—
70#525×C83C2211yescharacteristic
71#525×C83C2211yescharacteristic
72#525×C83C2211yescharacteristic, complemented
73C2×#121×C83C2211yescharacteristic
74#520×C83C2211yescharacteristic, complemented
75#520×C83C2211yescharacteristic, complemented
76C22×C4⋊C4×C83C2211yescharacteristic, complemented
77#501×C83C2211yescharacteristic, complemented
78#501×C83C2211yescharacteristic, complemented
79#499×C83C2211yescharacteristic, complemented
80#498×C83C2211yescharacteristic, complemented
81#490×C83C2211yescharacteristic, complemented
82#489×C83C2211yescharacteristic, complemented
83#488×C83C2211yescharacteristic, complemented
84#486×C83C2211yescharacteristic, complemented
85#485×C83C2211yescharacteristic, complemented
86#485×C83C2211yescharacteristic, complemented
87#485×C83C2211yescharacteristic, complemented
88#485×C83C2211yescharacteristic, complemented
89#484×C83C2211yescharacteristic, complemented
90#484×C83C2211yescharacteristic, complemented
91#483×C83C2211yescharacteristic, complemented
92#483×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#482×C83C2211yescharacteristic, complemented
101#482×C83C2211yescharacteristic, complemented
102#482×C83C2211yescharacteristic, complemented
103#482×C83C2211yescharacteristic, complemented
104#481×C83C2211yescharacteristic
105#481×C83C2211yescharacteristic
106#481×C83C2211yescharacteristic
107#481×C83C2211yescharacteristic
108#481×C83C2211yescharacteristic
109#481×C83C2211yescharacteristic
110#481×C83C2211yescharacteristic, complemented
111#481×C83C2211yescharacteristic, complemented
112#481×C83C2211yescharacteristic, complemented
113#481×C83C2211yescharacteristic, complemented
114#481×C83C2211yescharacteristic, complemented
115#481×C83C2211yescharacteristic, complemented
116#481×C83C2211yescharacteristic, complemented
117#480×C83C2211yescharacteristic, complemented
118#480×C83C2211yescharacteristic, complemented
119#480×C83C2211yescharacteristic, complemented
120#480×C83C2211yescharacteristic, complemented
121#479×C83C2211yescharacteristic, complemented
122#479×C83C2211yescharacteristic, complemented
123#478×C83C2211yescharacteristic, complemented
124#478×C83C2211yescharacteristic, complemented
125#478×C83C2211yescharacteristic, complemented
126#478×C83C2211yescharacteristic, complemented
127#476×C83C2211yescharacteristic, complemented
128#476×C83C2211yescharacteristic, complemented
129#476×C83C2211yescharacteristic, complemented
130#475×C83C2211yescharacteristic, complemented
131#475×C83C2211yescharacteristic, complemented
132#474×C83C2211yescharacteristic, complemented
133#470×C83C2211yescharacteristic, complemented
134#469×C83C2211yescharacteristic
135#469×C83C2211yescharacteristic, complemented
136#469×C83C2211yescharacteristic, complemented
137#469×C83C2211yescharacteristic, complemented
138#468×C83C2211yescharacteristic
139#468×C83C2211yescharacteristic, complemented
140#468×C83C2211yescharacteristic, complemented
141#467×C83C2211yescharacteristic, complemented
142#466×C83C2211yescharacteristic
143#466×C83C2211yescharacteristic, complemented
144#465×C83C2211yescharacteristic
145#465×C83C2211yescharacteristic, complemented
146#465×C83C2211yescharacteristic, complemented
147#465×C83C2211yescharacteristic, complemented
148#465×C83C2211yescharacteristic, complemented
149#464×C83C2211yescharacteristic, complemented
150#463×C83C2211yescharacteristic, complemented
151#460×C83C2211yescharacteristic, complemented
152#459×C83C2211yescharacteristic, complemented
153#452×C83C2211yescharacteristic, complemented
154#452×C83C2211yescharacteristic, complemented
155#452×C83C2211yescharacteristic, complemented
156#450×C83C2211yescharacteristic
157#450×C83C2211yescharacteristic, complemented
158#449×C83C2211yescharacteristic
159#449×C83C2211yescharacteristic, complemented
160#449×C83C2211yescharacteristic, complemented
161#449×C83C2211yescharacteristic, complemented
162#449×C83C2211yescharacteristic, complemented
163#447×C83C2211yescharacteristic
164#447×C83C2211yescharacteristic, complemented
165#442×C83C2211yescharacteristic, complemented
166#442×C83C2211yescharacteristic, complemented
167#441×C83C2211yescharacteristic, complemented
168#440×C83C2211yescharacteristic, complemented
169C4×SD16×C83C2211yescharacteristic, complemented
170C4×SD16×C83C2211yescharacteristic, complemented
171C4×SD16×C83C2211yescharacteristic, complemented
172C4×D8×C83C2211yescharacteristic, complemented
173#436×C83C2211yescharacteristic, complemented
174#436×C83C2211yescharacteristic, complemented
175#435×C83C2211yescharacteristic
176#435×C83C2211yescharacteristic, complemented
177#435×C83C2211yescharacteristic, complemented
178#435×C83C2211yescharacteristic, complemented
179C8×D4×C83C2211yescharacteristic
180C8×D4×C83C2211yescharacteristic, complemented
181#433×C83C2211yescharacteristic, complemented
182#433×C83C2211yescharacteristic, complemented
183#428×C83C2211yescharacteristic, complemented
184#428×C83C2211yescharacteristic, complemented
185#428×C83C2211yescharacteristic, complemented
186#428×C83C2211yescharacteristic, complemented
187#427×C83C2211yescharacteristic, complemented
188C2×#106×C83C2211yescharacteristic, complemented
189C2×#106×C83C2211yescharacteristic, complemented
190C2×#106×C83C2211yescharacteristic, complemented
191#418×C83C2211yescharacteristic, complemented
192#417×C83C2211yescharacteristic, complemented
193#417×C83C2211yescharacteristic, complemented
194#417×C83C2211yescharacteristic, complemented
195#416×C83C2211yescharacteristic, complemented
196C2×#102×C83C2211yescharacteristic
197C2×#102×C83C2211yescharacteristic
198C2×#102×C83C2211yescharacteristic, complemented
199#408×C83C2211yescharacteristic, complemented
200#408×C83C2211yescharacteristic, complemented
201#407×C83C2211yescharacteristic, complemented
202C2×C22⋊C8×C83C2211yescharacteristic, complemented
203C2×#41×C83—21no—
204C2×#41×C83—21no—
205C2×#41×C83—21no—
206C2×#41×C83C2311yescharacteristic
207C2×#41×C83C2311yescharacteristic
208C2×#41×C83C2311yescharacteristic
209C2×#41×C83C2311yescharacteristic
210C22×D4×C83—21no—
211C22×D4×C83—21no—
212C22×D4×C83C2311yescharacteristic
213C22×D4×C83C2311yescharacteristic
214C23×C4×C83—21no—
215C23×C4×C83C2311yescharacteristic
216C2×Q16×C83C2311yescharacteristic
217C2×SD16×C83C2311yescharacteristic
218C2×SD16×C83C2311yescharacteristic
219C2×SD16×C83C2311yescharacteristic
220C2×SD16×C83C2311yescharacteristic
221C2×D8×C83C2311yescharacteristic
222C2×D8×C83C2311yescharacteristic
223C2×D8×C83C2311yescharacteristic
224C2×M16×C83C2311yescharacteristic
225C2×M16×C83C2311yescharacteristic
226C2×M16×C83C2311yescharacteristic
227C2×M16×C83C2311yescharacteristic
228C22×C8×C83C2311yescharacteristic
229C22×C8×C83C2311yescharacteristic
230C22×C8×C83C2311yescharacteristic
231C22×C8×C83C2311yescharacteristic
232C4⋊Q8×C83—21no—
233C4⋊Q8×C83C2311yescharacteristic
234C4⋊Q8×C83C2311yescharacteristic
235C4⋊Q8×C83C2311yescharacteristic
236#127×C83—21no—
237#127×C83—21no—
238#127×C83C2311yescharacteristic
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#125×C83—21no—
247#125×C83—21no—
248#125×C83—21no—
249#125×C83—21no—
250#125×C83—21no—
251#125×C83—21no—
252#125×C83C2311yescharacteristic
253#125×C83C2311yescharacteristic
254#125×C83C2311yescharacteristic
255#124×C83—21no—
256#124×C83—21no—
257#124×C83—21no—
258#124×C83—21no—
259#124×C83C2311yescharacteristic
260#123×C83—21no—
261#123×C83—21no—
262#123×C83—21no—
263#123×C83—21no—
264#123×C83—21no—
265#123×C83—21no—
266#123×C83—21no—
267#123×C83—21no—
268#123×C83—21no—
269#123×C83—21no—
270#123×C83—21no—
271#123×C83—21no—
272#123×C83—21no—
273#123×C83—21no—
274#123×C83—21no—
275#123×C83—21no—
276#123×C83—21no—
277#123×C83—21no—
278#123×C83—21no—
279#123×C83D411yescharacteristic
280#123×C83D411yescharacteristic
281C22⋊Q8×C83—21no—
282C22⋊Q8×C83—21no—
283C22⋊Q8×C83—21no—
284C22⋊Q8×C83—21no—
285C22⋊Q8×C83—21no—
286C22⋊Q8×C83—21no—
287C22⋊Q8×C83—21no—
288C22⋊Q8×C83—21no—
289C22⋊Q8×C83—21no—
290C22⋊Q8×C83—21no—
291C22⋊Q8×C83—21no—
292C22⋊Q8×C83—21no—
293C22⋊Q8×C83D411yescharacteristic
294C22⋊Q8×C83D411yescharacteristic
295C22⋊Q8×C83C2311yescharacteristic
296C22⋊Q8×C83C2311yescharacteristic
297C22⋊Q8×C83C2311yescharacteristic
298C22⋊Q8×C83C2311yescharacteristic
299C22⋊Q8×C83C2311yescharacteristic
300C22⋊Q8×C83C2311yescharacteristic
301C22⋊Q8×C83C2311yescharacteristic
302#121×C83—21no—
303#121×C83—21no—
304#121×C83—21no—
305#121×C83—21no—
306#121×C83—21no—
307#121×C83—21no—
308#121×C83—21no—
309#121×C83—21no—
310#121×C83—21no—
311#121×C83—21no—
312#121×C83—21no—
313#121×C83—21no—
314#121×C83—21no—
315#121×C83—21no—
316#121×C83—21no—
317#121×C83—21no—
318#121×C83—21no—
319#121×C83—21no—
320#121×C83—21no—
321#121×C83D411yescharacteristic
322#121×C83D411yescharacteristic
323#121×C83C2311yescharacteristic
324#121×C83C2311yescharacteristic
325#121×C83C2311yescharacteristic
326#121×C83C2311yescharacteristic
327#121×C83C2311yescharacteristic
328#121×C83C2311yescharacteristic
329#121×C83C2311yescharacteristic
330#121×C83C2311yescharacteristic
331#121×C83C2311yescharacteristic
332#121×C83C2311yescharacteristic
333#121×C83C2311yescharacteristic
334#121×C83C2311yescharacteristic
335#121×C83C2311yescharacteristic
336#120×C83—21no—
337#120×C83—21no—
338#120×C83—21no—
339#120×C83—21no—
340#120×C83—21no—
341#120×C83—21no—
342#120×C83—21no—
343#120×C83—21no—
344#120×C83D411yescharacteristic
345#120×C83D411yescharacteristic
346C4×Q8×C83—21no—
347C4×Q8×C83C2311yescharacteristic
348C4×Q8×C83C2311yescharacteristic
349C4×Q8×C83C2311yescharacteristic
350C4×D4×C83—21no—
351C4×D4×C83—21no—
352C4×D4×C83—21no—
353C4×D4×C83—21no—
354C4×D4×C83—21no—
355C4×D4×C83—21no—
356C4×D4×C83—21no—
357C4×D4×C83—21no—
358C4×D4×C83—21no—
359C4×D4×C83—21no—
360C4×D4×C83—21no—
361C4×D4×C83—21no—
362C4×D4×C83—21no—
363C4×D4×C83—21no—
364C4×D4×C83—21no—
365C4×D4×C83C2311yescharacteristic
366C4×D4×C83C2311yescharacteristic
367C4×D4×C83C2311yescharacteristic
368C4×D4×C83C2311yescharacteristic
369C4×D4×C83C2311yescharacteristic
370C4×D4×C83C2311yescharacteristic
371C4×D4×C83C2311yescharacteristic
372C4×D4×C83C2311yescharacteristic
373C4×D4×C83C2311yescharacteristic
374#117×C83—21no—
375#117×C83—21no—
376#117×C83—21no—
377#117×C83—21no—
378#117×C83—21no—
379#117×C83C2311yescharacteristic
380#117×C83C2311yescharacteristic
381#117×C83C2311yescharacteristic
382#117×C83C2311yescharacteristic
383#117×C83C2311yescharacteristic
384#117×C83C2311yescharacteristic
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×C4⋊C4×C83C2311yescharacteristic
395C2×C4⋊C4×C83C2311yescharacteristic
396C2×C4⋊C4×C83C2311yescharacteristic
397C2×C4⋊C4×C83C2311yescharacteristic
398C2×C4⋊C4×C83C2311yescharacteristic
399C2×C22⋊C4×C83—21no—
400C2×C22⋊C4×C83—21no—
401C2×C22⋊C4×C83—21no—
402#107×C83C2311yescharacteristic
403#107×C83C2311yescharacteristic
404#107×C83C2311yescharacteristic
405#107×C83C2311yescharacteristic
406#107×C83C2311yescharacteristic
407#107×C83C2311yescharacteristic
408#107×C83C2311yescharacteristic
409#107×C83C2311yescharacteristic
410#106×C83C2311yescharacteristic
411#106×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
424#106×C83C2311yescharacteristic
425#106×C83C2311yescharacteristic
426C4⋊C8×C83C2311yescharacteristic
427C4⋊C8×C83C2311yescharacteristic
428C4⋊C8×C83C2311yescharacteristic
429C4⋊C8×C83C2311yescharacteristic
430#103×C83C2311yescharacteristic
431#103×C83C2311yescharacteristic
432#103×C83C2311yescharacteristic
433#103×C83C2311yescharacteristic
434#103×C83C2311yescharacteristic
435#103×C83C2311yescharacteristic
436#103×C83C2311yescharacteristic
437#103×C83C2311yescharacteristic
438#103×C83C2311yescharacteristic
439#103×C83C2311yescharacteristic
440#102×C83C2311yescharacteristic
441#102×C83C2311yescharacteristic
442#102×C83C2311yescharacteristic
443#102×C83C2311yescharacteristic
444#102×C83C2311yescharacteristic
445#102×C83C2311yescharacteristic
446#102×C83C2311yescharacteristic
447#102×C83C2311yescharacteristic
448#102×C83C2311yescharacteristic
449#102×C83C2311yescharacteristic
450#102×C83C2311yescharacteristic
451#102×C83C2311yescharacteristic
452#102×C83C2311yescharacteristic
453#102×C83C2311yescharacteristic
454#102×C83C2311yescharacteristic
455#102×C83C2311yescharacteristic
456#102×C83C2311yescharacteristic
457#102×C83C2311yescharacteristic
458#102×C83C2311yescharacteristic
459#102×C83C2311yescharacteristic
460#102×C83C2311yescharacteristic
461#102×C83C2311yescharacteristic
462C22⋊C8×C83C2311yescharacteristic
463C22⋊C8×C83C2311yescharacteristic
464C22⋊C8×C83C2311yescharacteristic
465C22⋊C8×C83C2311yescharacteristic
466C22⋊C8×C83C2311yescharacteristic
467C22⋊C8×C83C2311yescharacteristic
468C22⋊C8×C83C2311yescharacteristic
469C22⋊C8×C83C2311yescharacteristic
470C22⋊C8×C83C2311yescharacteristic
471C22⋊C8×C83C2311yescharacteristic
472C22⋊C8×C83C2311yescharacteristic
473C22⋊C8×C83C2311yescharacteristic
474#97×C83C2311yescharacteristic
475#97×C83C2311yescharacteristic
476C4×C8×C83C2311yescharacteristic
477C4×C8×C83C2311yescharacteristic
478C24×C83—21no—
479C24×C83—21no—
480C24×C83C2×D411yescharacteristic
481#41×C83—41no—
482#41×C83—41no—
483#41×C83—41no—
484#41×C83—41no—
485#41×C83—41no—
486#41×C83—41no—
487#41×C83—41no—
488#41×C83—41no—
489#41×C83—82no—
490#41×C83—82no—
491#41×C83—82no—
492C2×Q8×C83—21no—
493C2×Q8×C83—21no—
494C2×Q8×C83—21no—
495C2×Q8×C83C2×D411yescharacteristic
496C2×Q8×C83C2411yescharacteristic
497C2×Q8×C83C2411yescharacteristic
498C2×D4×C83—21no—
499C2×D4×C83—21no—
500C2×D4×C83—21no—
501C2×D4×C83—21no—
502C2×D4×C83—21no—
503C2×D4×C83—21no—
504C2×D4×C83—21no—
505C2×D4×C83—21no—
506C2×D4×C83—21no—
507C2×D4×C83—21no—
508C2×D4×C83—21no—
509C2×D4×C83—21no—
510C2×D4×C83—21no—
511C2×D4×C83—21no—
512C2×D4×C83—21no—
513C2×D4×C83—21no—
514C2×D4×C83—21no—
515C2×D4×C83—21no—
516C2×D4×C83—21no—
517C2×D4×C83—21no—
518C2×D4×C83—41no—
519C2×D4×C83—41no—
520C2×D4×C83—41no—
521C2×D4×C83—41no—
522C2×D4×C83—82no—
523C2×D4×C83—82no—
524C2×D4×C83C2×D411yescharacteristic
525C2×D4×C83C2×D411yescharacteristic
526C2×D4×C83C2×D411yescharacteristic
527C2×D4×C83C2×D411yescharacteristic
528C2×D4×C83C2×D411yescharacteristic
529C2×D4×C83C2×D411yescharacteristic
530C2×D4×C83C2×D411yescharacteristic
531C2×D4×C83C2411yescharacteristic
532C2×D4×C83C2411yescharacteristic
533C2×D4×C83C2411yescharacteristic
534C2×D4×C83C2411yescharacteristic
535C22×C4×C83—21no—
536C22×C4×C83—21no—
537C22×C4×C83—21no—
538C22×C4×C83—21no—
539C22×C4×C83—21no—
540C22×C4×C83—21no—
541C22×C4×C83—21no—
542C22×C4×C83—21no—
543C22×C4×C83—21no—
544C22×C4×C83—21no—
545C22×C4×C83—21no—
546C22×C4×C83—21no—
547C22×C4×C83—21no—
548C22×C4×C83—21no—
549C22×C4×C83—21no—
550C22×C4×C83—21no—
551C22×C4×C83—21no—
552C22×C4×C83—21no—
553C22×C4×C83—41no—
554C22×C4×C83—41no—
555C22×C4×C83—82no—
556C22×C4×C83C2×D411yescharacteristic
557C22×C4×C83C2×D411yescharacteristic
558C22×C4×C83C2×D411yescharacteristic
559C22×C4×C83C2411yescharacteristic
560C22×C4×C83C2411yescharacteristic
561C22×C4×C83C2411yescharacteristic
562C22×C4×C83C2411yescharacteristic
563C22×C4×C83C2411yescharacteristic
564Q16×C83—41no—
565SD16×C83—41no—
566SD16×C83—41no—
567SD16×C83—41no—
568SD16×C83—41no—
569D8×C83—41no—
570D8×C83—41no—
571D8×C83—41no—
572M16×C83—41no—
573M16×C83—41no—
574M16×C83—41no—
575M16×C83—41no—
576C2×C8×C83—41no—
577C2×C8×C83—41no—
578C2×C8×C83—41no—
579C2×C8×C83—41no—
580C2×C8×C83C2411yescharacteristic
581C2×C8×C83C2411yescharacteristic
582C2×C8×C83C2411yescharacteristic
583C2×C8×C83C2411yescharacteristic
584C2×C8×C83C2411yescharacteristic
585C2×C8×C83C2411yescharacteristic
586C2×C8×C83C2411yescharacteristic
587C2×C8×C83C2411yescharacteristic
588C4⋊C4×C83—21no—
589C4⋊C4×C83—21no—
590C4⋊C4×C83—21no—
591C4⋊C4×C83—21no—
592C4⋊C4×C83—21no—
593C4⋊C4×C83—21no—
594C4⋊C4×C83—21no—
595C4⋊C4×C83—21no—
596C4⋊C4×C83—21no—
597C4⋊C4×C83—21no—
598C4⋊C4×C83—21no—
599C4⋊C4×C83—21no—
600C4⋊C4×C83—21no—
601C4⋊C4×C83—21no—
602C4⋊C4×C83—21no—
603C4⋊C4×C83—21no—
604C4⋊C4×C83—21no—
605C4⋊C4×C83—21no—
606C4⋊C4×C83—21no—
607C4⋊C4×C83—21no—
608C4⋊C4×C83—21no—
609C4⋊C4×C83—21no—
610C4⋊C4×C83—21no—
611C4⋊C4×C83—21no—
612C4⋊C4×C83—21no—
613C4⋊C4×C83—21no—
614C4⋊C4×C83—21no—
615C4⋊C4×C83—21no—
616C4⋊C4×C83—21no—
617C4⋊C4×C83C2×D411yescharacteristic
618C4⋊C4×C83C2×D411yescharacteristic
619C4⋊C4×C83C2×D411yescharacteristic
620C4⋊C4×C83C2×D411yescharacteristic
621C4⋊C4×C83C2×D411yescharacteristic
622C4⋊C4×C83C2×D411yescharacteristic
623C4⋊C4×C83C2411yescharacteristic
624C4⋊C4×C83C2411yescharacteristic
625C4⋊C4×C83C2411yescharacteristic
626C4⋊C4×C83C2411yescharacteristic
627C4⋊C4×C83C2411yescharacteristic
628C4⋊C4×C83C2411yescharacteristic
629C4⋊C4×C83C2411yescharacteristic
630C4⋊C4×C83C2411yescharacteristic
631C4⋊C4×C83C2411yescharacteristic
632C4⋊C4×C83C2411yescharacteristic
633C22⋊C4×C83—21no—
634C22⋊C4×C83—21no—
635C22⋊C4×C83—21no—
636C22⋊C4×C83—21no—
637C22⋊C4×C83—21no—
638C22⋊C4×C83—21no—
639C22⋊C4×C83—21no—
640C22⋊C4×C83—21no—
641C22⋊C4×C83—21no—
642C22⋊C4×C83—21no—
643C22⋊C4×C83—21no—
644C22⋊C4×C83—21no—
645C22⋊C4×C83—21no—
646C22⋊C4×C83—21no—
647C22⋊C4×C83—21no—
648C22⋊C4×C83—21no—
649C22⋊C4×C83—21no—
650C22⋊C4×C83—21no—
651C22⋊C4×C83—21no—
652C22⋊C4×C83—21no—
653C22⋊C4×C83—21no—
654C22⋊C4×C83—21no—
655C22⋊C4×C83—21no—
656C22⋊C4×C83—21no—
657C22⋊C4×C83—21no—
658C22⋊C4×C83—21no—
659C22⋊C4×C83—21no—
660C22⋊C4×C83—21no—
661C22⋊C4×C83—21no—
662C22⋊C4×C83—21no—
663C22⋊C4×C83—21no—
664C22⋊C4×C83—21no—
665C22⋊C4×C83C2×D411yescharacteristic
666C22⋊C4×C83C2×D411yescharacteristic
667C22⋊C4×C83C2×D411yescharacteristic
668C22⋊C4×C83C2×D411yescharacteristic
669C22⋊C4×C83C2×D411yescharacteristic
670C22⋊C4×C83C2×D411yescharacteristic
671C22⋊C4×C83C2×D411yescharacteristic
672C22⋊C4×C83C2×D411yescharacteristic
673C22⋊C4×C83C2×D411yescharacteristic
674C22⋊C4×C83C2×D411yescharacteristic
675C42×C83—21no—
676C42×C83—21no—
677C42×C83—21no—
678C42×C83—21no—
679C42×C83—21no—
680C42×C83—21no—
681C42×C83—21no—
682C42×C83—21no—
683C42×C83C2411yescharacteristic
684C42×C83C2411yescharacteristic
685C23×C83—22no—
686C23×C83—21no—
687C23×C83—21no—
688C23×C83—21no—
689C23×C83—21no—
690C23×C83—41no—
691C23×C83—41no—
692C23×C83—42no—
693C23×C83—81no—
694C23×C83—81no—
695C23×C83—81no—
696C23×C83—81no—
697C23×C83—81no—
698C23×C83C22×D411yescharacteristic
699C23×C83C22×D411yescharacteristic
700C23×C83C22×D411yescharacteristic
701C23×C83C22×D411yescharacteristic
702C23×C83C22×D411yescharacteristic
703Q8×C83—21no—
704Q8×C83—21no—
705Q8×C83—21no—
706Q8×C83—21no—
707Q8×C83—41no—
708Q8×C83—81no—
709Q8×C83—81no—
710Q8×C83—81no—
711D4×C83—22no—
712D4×C83—22no—
713D4×C83—21no—
714D4×C83—21no—
715D4×C83—21no—
716D4×C83—21no—
717D4×C83—21no—
718D4×C83—21no—
719D4×C83—21no—
720D4×C83—21no—
721D4×C83—41no—
722D4×C83—41no—
723D4×C83—41no—
724D4×C83—41no—
725D4×C83—41no—
726D4×C83—42no—
727D4×C83—42no—
728D4×C83—42no—
729D4×C83—42no—
730D4×C83—81no—
731D4×C83—81no—
732D4×C83—81no—
733D4×C83—81no—
734D4×C83—81no—
735D4×C83—81no—
736D4×C83—81no—
737D4×C83—81no—
738D4×C83—81no—
739D4×C83—81no—
740D4×C83—81no—
741D4×C83—81no—
742D4×C83—81no—
743D4×C83—81no—
744D4×C83—81no—
745D4×C83—81no—
746C2×C4×C83—21no—
747C2×C4×C83—21no—
748C2×C4×C83—21no—
749C2×C4×C83—21no—
750C2×C4×C83—21no—
751C2×C4×C83—21no—
752C2×C4×C83—21no—
753C2×C4×C83—21no—
754C2×C4×C83—21no—
755C2×C4×C83—21no—
756C2×C4×C83—21no—
757C2×C4×C83—21no—
758C2×C4×C83—21no—
759C2×C4×C83—21no—
760C2×C4×C83—21no—
761C2×C4×C83—21no—
762C2×C4×C83—21no—
763C2×C4×C83—21no—
764C2×C4×C83—21no—
765C2×C4×C83—21no—
766C2×C4×C83—21no—
767C2×C4×C83—21no—
768C2×C4×C83—41no—
769C2×C4×C83—41no—
770C2×C4×C83—41no—
771C2×C4×C83—42no—
772C2×C4×C83—42no—
773C2×C4×C83—42no—
774C2×C4×C83—42no—
775C2×C4×C83—81no—
776C2×C4×C83—81no—
777C2×C4×C83—81no—
778C2×C4×C83—81no—
779C2×C4×C83—81no—
780C2×C4×C83—81no—
781C2×C4×C83—81no—
782C2×C4×C83—81no—
783C2×C4×C83—81no—
784C2×C4×C83—81no—
785C2×C4×C83—81no—
786C2×C4×C83—81no—
787C2×C4×C83—81no—
788C2×C4×C83—81no—
789C2×C4×C83C22×D411yescharacteristic
790C2×C4×C83C22×D411yescharacteristic
791C2×C4×C83C22×D411yescharacteristic
792C2×C4×C83C22×D411yescharacteristic
793C2×C4×C83C22×D411yescharacteristic
794C2×C4×C83C22×D411yescharacteristic
795C2×C4×C83C22×D411yescharacteristic
796C2×C4×C83C22×D411yescharacteristic
797C2×C4×C83C22×D411yescharacteristic
798C2×C4×C83C2511yescharacteristic
799C8×C83—21no—
800C8×C83—21no—
801C8×C83—21no—
802C8×C83—21no—
803C8×C83—21no—
804C8×C83—21no—
805C8×C83—21no—
806C8×C83—21no—
807C22×C83—21no—
808C22×C83—21no—
809C22×C83—21no—
810C22×C83—21no—
811C22×C83—21no—
812C22×C83—21no—
813C22×C83—21no—
814C22×C83—21no—
815C22×C83—21no—
816C22×C83—21no—
817C22×C83—21no—
818C22×C83—21no—
819C22×C83—21no—
820C22×C83—21no—
821C22×C83—44no—
822C22×C83—41no—
823C22×C83—41no—
824C22×C83—41no—
825C22×C83—41no—
826C22×C83—41no—
827C22×C83—41no—
828C22×C83—41no—
829C22×C83—41no—
830C22×C83—41no—
831C22×C83—41no—
832C22×C83—41no—
833C22×C83—41no—
834C22×C83—162no—
835C22×C83—162no—
836C22×C83#57712yes—
837C22×C83C23×D411yescharacteristic
838C4×C83—21no—
839C4×C83—21no—
840C4×C83—21no—
841C4×C83—21no—
842C4×C83—21no—
843C4×C83—21no—
844C4×C83—21no—
845C4×C83—21no—
846C4×C83—21no—
847C4×C83—41no—
848C4×C83—41no—
849C4×C83—41no—
850C4×C83—41no—
851C4×C83—41no—
852C4×C83—41no—
853C4×C83—41no—
854C4×C83—41no—
855C4×C83—41no—
856C4×C83—41no—
857C4×C83—41no—
858C4×C83—41no—
859C4×C83#58511yescharacteristic
860C4×C83#58511yescharacteristic
861#61746C8311yesmaximal, characteristic, direct product factor, Sylow
862C2×C83—22no—
863C2×C83—41no—
864C2×C83—41no—
865C2×C83—41no—
866C2×C83—41no—
867C2×C83—81no—
868C2×C83—81no—
869C2×C83—81no—
870C2×C83—81no—
871C2×C83#348511yescharacteristic
872C2×C83C2×#57711yescharacteristic
873C2×C83#358511yescharacteristic
874#3542C2×C8311yescharacteristic, complemented
875#3492C2×C8311yescharacteristic, complemented
876#3354C2×C8311yescharacteristic, complemented
877#3351C2×C8311yescharacteristic, complemented
878#3348C2×C8311yescharacteristic, complemented
879#3345C2×C8311yescharacteristic, complemented
880#3345C2×C8311yescharacteristic, complemented
881#3344C2×C8311yescharacteristic, complemented
882#3337C2×C8311yescharacteristic, complemented
883#3335C2×C8311yescharacteristic, complemented
884#3332C2×C8311yescharacteristic, complemented
885#3323C2×C8311yescharacteristic, complemented
886#3318C2×C8311yescharacteristic, complemented
887#3317C2×C8311yescharacteristic, complemented
888#3314C2×C8311yescharacteristic, complemented
889#3306C2×C8311yescharacteristic, complemented
890#3297C2×C8311yescharacteristic, complemented
891#3295C2×C8311yescharacteristic, complemented
892#3244C2×C8311yescharacteristic, complemented
893#3241C2×C8311yescharacteristic, complemented
894#3204C2×C8311yescharacteristic, complemented
895#3198C2×C8311yescharacteristic, complemented
896#3194C2×C8311yescharacteristic, complemented
897#3191C2×C8311yescharacteristic, complemented
898#3125C2×C8311yescharacteristic, complemented
899#3119C2×C8311yescharacteristic, complemented
900#3099C2×C8311yescharacteristic, complemented
901#3096C2×C8311yescharacteristic, complemented
902#3092C2×C8311yescharacteristic, complemented
903C2×#481C2×C8311yescharacteristic, complemented
904#2976C2×C8311yescharacteristic, complemented
905C83#6174611yescharacteristic, direct product factor, Sylow
906#562—21no—
907#560—21no—
908#555C22×C8311yescharacteristic
909#554—21no—
910#554C22×C8311yescharacteristic
911#554C22×C8311yescharacteristic, complemented
912#553—21no—
913#553C22×C8311yescharacteristic
914#553C22×C8311yescharacteristic
915#553C22×C8311yescharacteristic, complemented
916#552—21no—
917#552C22×C8311yescharacteristic
918#552C22×C8311yescharacteristic, complemented
919#552C22×C8311yescharacteristic, complemented
920#551—21no—
921#550C22×C8311yescharacteristic
922#547—21no—
923#547C22×C8311yescharacteristic
924#547C22×C8311yescharacteristic, complemented
925#547C22×C8311yescharacteristic, complemented
926#546—21no—
927#546C22×C8311yescharacteristic
928#546C22×C8311yescharacteristic
929D42C22×C8311yescharacteristic
930#544C22×C8311yescharacteristic, complemented
931#542C22×C8311yescharacteristic
932#540—21no—
933#540C22×C8311yescharacteristic
934#539—21no—
935#539—21no—
936#538—21no—
937#537C22×C8311yescharacteristic
938#537C22×C8311yescharacteristic, complemented
939#535—21no—
940#535C22×C8311yescharacteristic
941#534—21no—
942#525—21no—
943#525—21no—
944#525C22×C8311yescharacteristic
945#525C22×C8311yescharacteristic
946#525C22×C8311yescharacteristic, complemented
947C2×#121C22×C8311yescharacteristic
948#520C22×C8311yescharacteristic, complemented
949#520C22×C8311yescharacteristic, complemented
950C22×C4⋊C4C22×C8311yescharacteristic, complemented
951#501C22×C8311yescharacteristic, complemented
952#501C22×C8311yescharacteristic, complemented
953#499C22×C8311yescharacteristic, complemented
954#498C22×C8311yescharacteristic, complemented
955#490C22×C8311yescharacteristic, complemented
956#489C22×C8311yescharacteristic, complemented
957#488C22×C8311yescharacteristic, complemented
958#486C22×C8311yescharacteristic, complemented
959#485C22×C8311yescharacteristic, complemented
960#485C22×C8311yescharacteristic, complemented
961#485C22×C8311yescharacteristic, complemented
962#485C22×C8311yescharacteristic, complemented
963#484C22×C8311yescharacteristic, complemented
964#484C22×C8311yescharacteristic, complemented
965#483C22×C8311yescharacteristic, complemented
966#483C22×C8311yescharacteristic, complemented
967#483C22×C8311yescharacteristic, complemented
968#483C22×C8311yescharacteristic, complemented
969#483C22×C8311yescharacteristic, complemented
970#482C22×C8311yescharacteristic
971#482C22×C8311yescharacteristic, complemented
972#482C22×C8311yescharacteristic, complemented
973#482C22×C8311yescharacteristic, complemented
974#482C22×C8311yescharacteristic, complemented
975#482C22×C8311yescharacteristic, complemented
976#482C22×C8311yescharacteristic, complemented
977#482C22×C8311yescharacteristic, complemented
978#481C22×C8311yescharacteristic
979#481C22×C8311yescharacteristic
980#481C22×C8311yescharacteristic
981#481C22×C8311yescharacteristic
982#481C22×C8311yescharacteristic
983#481C22×C8311yescharacteristic
984#481C22×C8311yescharacteristic, complemented
985#481C22×C8311yescharacteristic, complemented
986#481C22×C8311yescharacteristic, complemented
987#481C22×C8311yescharacteristic, complemented
988#481C22×C8311yescharacteristic, complemented
989#481C22×C8311yescharacteristic, complemented
990#481C22×C8311yescharacteristic, complemented
991#480C22×C8311yescharacteristic, complemented
992#480C22×C8311yescharacteristic, complemented
993#480C22×C8311yescharacteristic, complemented
994#480C22×C8311yescharacteristic, complemented
995#479C22×C8311yescharacteristic, complemented
996#479C22×C8311yescharacteristic, complemented
997#478C22×C8311yescharacteristic, complemented
998#478C22×C8311yescharacteristic, complemented
999#478C22×C8311yescharacteristic, complemented
1000#478C22×C8311yescharacteristic, complemented
1001#476C22×C8311yescharacteristic, complemented
1002#476C22×C8311yescharacteristic, complemented
1003#476C22×C8311yescharacteristic, complemented
1004#475C22×C8311yescharacteristic, complemented
1005#475C22×C8311yescharacteristic, complemented
1006#474C22×C8311yescharacteristic, complemented
1007#470C22×C8311yescharacteristic, complemented
1008#469C22×C8311yescharacteristic
1009#469C22×C8311yescharacteristic, complemented
1010#469C22×C8311yescharacteristic, complemented
1011#469C22×C8311yescharacteristic, complemented
1012#468C22×C8311yescharacteristic
1013#468C22×C8311yescharacteristic, complemented
1014#468C22×C8311yescharacteristic, complemented
1015#467C22×C8311yescharacteristic, complemented
1016#466C22×C8311yescharacteristic
1017#466C22×C8311yescharacteristic, complemented
1018#465C22×C8311yescharacteristic
1019#465C22×C8311yescharacteristic, complemented
1020#465C22×C8311yescharacteristic, complemented
1021#465C22×C8311yescharacteristic, complemented
1022#465C22×C8311yescharacteristic, complemented
1023#464C22×C8311yescharacteristic, complemented
1024#463C22×C8311yescharacteristic, complemented
1025#460C22×C8311yescharacteristic, complemented
1026#459C22×C8311yescharacteristic, complemented
1027#452C22×C8311yescharacteristic, complemented
1028#452C22×C8311yescharacteristic, complemented
1029#452C22×C8311yescharacteristic, complemented
1030#450C22×C8311yescharacteristic
1031#450C22×C8311yescharacteristic, complemented
1032#449C22×C8311yescharacteristic
1033#449C22×C8311yescharacteristic, complemented
1034#449C22×C8311yescharacteristic, complemented
1035#449C22×C8311yescharacteristic, complemented
1036#449C22×C8311yescharacteristic, complemented
1037#447C22×C8311yescharacteristic
1038#447C22×C8311yescharacteristic, complemented
1039#442C22×C8311yescharacteristic, complemented
1040#442C22×C8311yescharacteristic, complemented
1041#441C22×C8311yescharacteristic, complemented
1042#440C22×C8311yescharacteristic, complemented
1043C4×SD16C22×C8311yescharacteristic, complemented
1044C4×SD16C22×C8311yescharacteristic, complemented
1045C4×SD16C22×C8311yescharacteristic, complemented
1046C4×D8C22×C8311yescharacteristic, complemented
1047#436C22×C8311yescharacteristic, complemented
1048#436C22×C8311yescharacteristic, complemented
1049#435C22×C8311yescharacteristic
1050#435C22×C8311yescharacteristic, complemented
1051#435C22×C8311yescharacteristic, complemented
1052#435C22×C8311yescharacteristic, complemented
1053C8×D4C22×C8311yescharacteristic
1054C8×D4C22×C8311yescharacteristic, complemented
1055#433C22×C8311yescharacteristic, complemented
1056#433C22×C8311yescharacteristic, complemented
1057#428C22×C8311yescharacteristic, complemented
1058#428C22×C8311yescharacteristic, complemented
1059#428C22×C8311yescharacteristic, complemented
1060#428C22×C8311yescharacteristic, complemented
1061#427C22×C8311yescharacteristic, complemented
1062C2×#106C22×C8311yescharacteristic, complemented
1063C2×#106C22×C8311yescharacteristic, complemented
1064C2×#106C22×C8311yescharacteristic, complemented
1065#418C22×C8311yescharacteristic, complemented
1066#417C22×C8311yescharacteristic, complemented
1067#417C22×C8311yescharacteristic, complemented
1068#417C22×C8311yescharacteristic, complemented
1069#416C22×C8311yescharacteristic, complemented
1070C2×#102C22×C8311yescharacteristic
1071C2×#102C22×C8311yescharacteristic
1072C2×#102C22×C8311yescharacteristic, complemented
1073#408C22×C8311yescharacteristic, complemented
1074#408C22×C8311yescharacteristic, complemented
1075#407C22×C8311yescharacteristic, complemented
1076C2×C22⋊C8C22×C8311yescharacteristic, complemented
1077C2×#41—21no—
1078C2×#41—21no—
1079C2×#41—21no—
1080C2×#41C23×C8311yescharacteristic
1081C2×#41C23×C8311yescharacteristic
1082C2×#41C23×C8311yescharacteristic
1083C2×#41C23×C8311yescharacteristic
1084C22×D4—21no—
1085C22×D4—21no—
1086C22×D4C23×C8311yescharacteristic
1087C22×D4C23×C8311yescharacteristic
1088C23×C4—21no—
1089C23×C4C23×C8311yescharacteristic
1090C2×Q16C23×C8311yescharacteristic
1091C2×SD16C23×C8311yescharacteristic
1092C2×SD16C23×C8311yescharacteristic
1093C2×SD16C23×C8311yescharacteristic
1094C2×SD16C23×C8311yescharacteristic
1095C2×D8C23×C8311yescharacteristic
1096C2×D8C23×C8311yescharacteristic
1097C2×D8C23×C8311yescharacteristic
1098C2×M16C23×C8311yescharacteristic
1099C2×M16C23×C8311yescharacteristic
1100C2×M16C23×C8311yescharacteristic
1101C2×M16C23×C8311yescharacteristic
1102C22×C8C23×C8311yescharacteristic
1103C22×C8C23×C8311yescharacteristic
1104C22×C8C23×C8311yescharacteristic
1105C22×C8C23×C8311yescharacteristic
1106C4⋊Q8—21no—
1107C4⋊Q8C23×C8311yescharacteristic
1108C4⋊Q8C23×C8311yescharacteristic
1109C4⋊Q8C23×C8311yescharacteristic
1110#127—21no—
1111#127—21no—
1112#127C23×C8311yescharacteristic
1113#126—21no—
1114#126—21no—
1115#126—21no—
1116#126—21no—
1117#126—21no—
1118#126—21no—
1119#126—21no—
1120#125—21no—
1121#125—21no—
1122#125—21no—
1123#125—21no—
1124#125—21no—
1125#125—21no—
1126#125C23×C8311yescharacteristic
1127#125C23×C8311yescharacteristic
1128#125C23×C8311yescharacteristic
1129#124—21no—
1130#124—21no—
1131#124—21no—
1132#124—21no—
1133#124C23×C8311yescharacteristic
1134#123—21no—
1135#123—21no—
1136#123—21no—
1137#123—21no—
1138#123—21no—
1139#123—21no—
1140#123—21no—
1141#123—21no—
1142#123—21no—
1143#123—21no—
1144#123—21no—
1145#123—21no—
1146#123—21no—
1147#123—21no—
1148#123—21no—
1149#123—21no—
1150#123—21no—
1151#123—21no—
1152#123—21no—
1153#123D4×C8311yescharacteristic
1154#123D4×C8311yescharacteristic
1155C22⋊Q8—21no—
1156C22⋊Q8—21no—
1157C22⋊Q8—21no—
1158C22⋊Q8—21no—
1159C22⋊Q8—21no—
1160C22⋊Q8—21no—
1161C22⋊Q8—21no—
1162C22⋊Q8—21no—
1163C22⋊Q8—21no—
1164C22⋊Q8—21no—
1165C22⋊Q8—21no—
1166C22⋊Q8—21no—
1167C22⋊Q8D4×C8311yescharacteristic
1168C22⋊Q8D4×C8311yescharacteristic
1169C22⋊Q8C23×C8311yescharacteristic
1170C22⋊Q8C23×C8311yescharacteristic
1171C22⋊Q8C23×C8311yescharacteristic
1172C22⋊Q8C23×C8311yescharacteristic
1173C22⋊Q8C23×C8311yescharacteristic
1174C22⋊Q8C23×C8311yescharacteristic
1175C22⋊Q8C23×C8311yescharacteristic
1176#121—21no—
1177#121—21no—
1178#121—21no—
1179#121—21no—
1180#121—21no—
1181#121—21no—
1182#121—21no—
1183#121—21no—
1184#121—21no—
1185#121—21no—
1186#121—21no—
1187#121—21no—
1188#121—21no—
1189#121—21no—
1190#121—21no—
1191#121—21no—
1192#121—21no—
1193#121—21no—
1194#121—21no—
1195#121D4×C8311yescharacteristic
1196#121D4×C8311yescharacteristic
1197#121C23×C8311yescharacteristic
1198#121C23×C8311yescharacteristic
1199#121C23×C8311yescharacteristic
1200#121C23×C8311yescharacteristic
1201#121C23×C8311yescharacteristic
1202#121C23×C8311yescharacteristic
1203#121C23×C8311yescharacteristic
1204#121C23×C8311yescharacteristic
1205#121C23×C8311yescharacteristic
1206#121C23×C8311yescharacteristic
1207#121C23×C8311yescharacteristic
1208#121C23×C8311yescharacteristic
1209#121C23×C8311yescharacteristic
1210#120—21no—
1211#120—21no—
1212#120—21no—
1213#120—21no—
1214#120—21no—
1215#120—21no—
1216#120—21no—
1217#120—21no—
1218#120D4×C8311yescharacteristic
1219#120D4×C8311yescharacteristic
1220C4×Q8—21no—
1221C4×Q8C23×C8311yescharacteristic
1222C4×Q8C23×C8311yescharacteristic
1223C4×Q8C23×C8311yescharacteristic
1224C4×D4—21no—
1225C4×D4—21no—
1226C4×D4—21no—
1227C4×D4—21no—
1228C4×D4—21no—
1229C4×D4—21no—
1230C4×D4—21no—
1231C4×D4—21no—
1232C4×D4—21no—
1233C4×D4—21no—
1234C4×D4—21no—
1235C4×D4—21no—
1236C4×D4—21no—
1237C4×D4—21no—
1238C4×D4—21no—
1239C4×D4C23×C8311yescharacteristic
1240C4×D4C23×C8311yescharacteristic
1241C4×D4C23×C8311yescharacteristic
1242C4×D4C23×C8311yescharacteristic
1243C4×D4C23×C8311yescharacteristic
1244C4×D4C23×C8311yescharacteristic
1245C4×D4C23×C8311yescharacteristic
1246C4×D4C23×C8311yescharacteristic
1247C4×D4C23×C8311yescharacteristic
1248#117—21no—
1249#117—21no—
1250#117—21no—
1251#117—21no—
1252#117—21no—
1253#117C23×C8311yescharacteristic
1254#117C23×C8311yescharacteristic
1255#117C23×C8311yescharacteristic
1256#117C23×C8311yescharacteristic
1257#117C23×C8311yescharacteristic
1258#117C23×C8311yescharacteristic
1259C2×C4⋊C4—21no—
1260C2×C4⋊C4—21no—
1261C2×C4⋊C4—21no—
1262C2×C4⋊C4—21no—
1263C2×C4⋊C4C23×C8311yescharacteristic
1264C2×C4⋊C4C23×C8311yescharacteristic
1265C2×C4⋊C4C23×C8311yescharacteristic
1266C2×C4⋊C4C23×C8311yescharacteristic
1267C2×C4⋊C4C23×C8311yescharacteristic
1268C2×C4⋊C4C23×C8311yescharacteristic
1269C2×C4⋊C4C23×C8311yescharacteristic
1270C2×C4⋊C4C23×C8311yescharacteristic
1271C2×C4⋊C4C23×C8311yescharacteristic
1272C2×C4⋊C4C23×C8311yescharacteristic
1273C2×C22⋊C4—21no—
1274C2×C22⋊C4—21no—
1275C2×C22⋊C4—21no—
1276#107C23×C8311yescharacteristic
1277#107C23×C8311yescharacteristic
1278#107C23×C8311yescharacteristic
1279#107C23×C8311yescharacteristic
1280#107C23×C8311yescharacteristic
1281#107C23×C8311yescharacteristic
1282#107C23×C8311yescharacteristic
1283#107C23×C8311yescharacteristic
1284#106C23×C8311yescharacteristic
1285#106C23×C8311yescharacteristic
1286#106C23×C8311yescharacteristic
1287#106C23×C8311yescharacteristic
1288#106C23×C8311yescharacteristic
1289#106C23×C8311yescharacteristic
1290#106C23×C8311yescharacteristic
1291#106C23×C8311yescharacteristic
1292#106C23×C8311yescharacteristic
1293#106C23×C8311yescharacteristic
1294#106C23×C8311yescharacteristic
1295#106C23×C8311yescharacteristic
1296#106C23×C8311yescharacteristic
1297#106C23×C8311yescharacteristic
1298#106C23×C8311yescharacteristic
1299#106C23×C8311yescharacteristic
1300C4⋊C8C23×C8311yescharacteristic
1301C4⋊C8C23×C8311yescharacteristic
1302C4⋊C8C23×C8311yescharacteristic
1303C4⋊C8C23×C8311yescharacteristic
1304#103C23×C8311yescharacteristic
1305#103C23×C8311yescharacteristic
1306#103C23×C8311yescharacteristic
1307#103C23×C8311yescharacteristic
1308#103C23×C8311yescharacteristic
1309#103C23×C8311yescharacteristic
1310#103C23×C8311yescharacteristic
1311#103C23×C8311yescharacteristic
1312#103C23×C8311yescharacteristic
1313#103C23×C8311yescharacteristic
1314#102C23×C8311yescharacteristic
1315#102C23×C8311yescharacteristic
1316#102C23×C8311yescharacteristic
1317#102C23×C8311yescharacteristic
1318#102C23×C8311yescharacteristic
1319#102C23×C8311yescharacteristic
1320#102C23×C8311yescharacteristic
1321#102C23×C8311yescharacteristic
1322#102C23×C8311yescharacteristic
1323#102C23×C8311yescharacteristic
1324#102C23×C8311yescharacteristic
1325#102C23×C8311yescharacteristic
1326#102C23×C8311yescharacteristic
1327#102C23×C8311yescharacteristic
1328#102C23×C8311yescharacteristic
1329#102C23×C8311yescharacteristic
1330#102C23×C8311yescharacteristic
1331#102C23×C8311yescharacteristic
1332#102C23×C8311yescharacteristic
1333#102C23×C8311yescharacteristic
1334#102C23×C8311yescharacteristic
1335#102C23×C8311yescharacteristic
1336C22⋊C8C23×C8311yescharacteristic
1337C22⋊C8C23×C8311yescharacteristic
1338C22⋊C8C23×C8311yescharacteristic
1339C22⋊C8C23×C8311yescharacteristic
1340C22⋊C8C23×C8311yescharacteristic
1341C22⋊C8C23×C8311yescharacteristic
1342C22⋊C8C23×C8311yescharacteristic
1343C22⋊C8C23×C8311yescharacteristic
1344C22⋊C8C23×C8311yescharacteristic
1345C22⋊C8C23×C8311yescharacteristic
1346C22⋊C8C23×C8311yescharacteristic
1347C22⋊C8C23×C8311yescharacteristic
1348#97C23×C8311yescharacteristic
1349#97C23×C8311yescharacteristic
1350C4×C8C23×C8311yescharacteristic
1351C4×C8C23×C8311yescharacteristic
1352C24—21no—
1353C24—21no—
1354C24C2×D4×C8311yescharacteristic
1355#41—41no—
1356#41—41no—
1357#41—41no—
1358#41—41no—
1359#41—41no—
1360#41—41no—
1361#41—41no—
1362#41—41no—
1363#41—82no—
1364#41—82no—
1365#41—82no—
1366C2×Q8—21no—
1367C2×Q8—21no—
1368C2×Q8—21no—
1369C2×Q8C2×D4×C8311yescharacteristic
1370C2×Q8C24×C8311yescharacteristic
1371C2×Q8C24×C8311yescharacteristic
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—21no—
1375C2×D4—21no—
1376C2×D4—21no—
1377C2×D4—21no—
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—41no—
1393C2×D4—41no—
1394C2×D4—41no—
1395C2×D4—41no—
1396C2×D4—82no—
1397C2×D4—82no—
1398C2×D4C2×D4×C8311yescharacteristic
1399C2×D4C2×D4×C8311yescharacteristic
1400C2×D4C2×D4×C8311yescharacteristic
1401C2×D4C2×D4×C8311yescharacteristic
1402C2×D4C2×D4×C8311yescharacteristic
1403C2×D4C2×D4×C8311yescharacteristic
1404C2×D4C2×D4×C8311yescharacteristic
1405C2×D4C24×C8311yescharacteristic
1406C2×D4C24×C8311yescharacteristic
1407C2×D4C24×C8311yescharacteristic
1408C2×D4C24×C8311yescharacteristic
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—21no—
1413C22×C4—21no—
1414C22×C4—21no—
1415C22×C4—21no—
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—41no—
1428C22×C4—41no—
1429C22×C4—82no—
1430C22×C4C2×D4×C8311yescharacteristic
1431C22×C4C2×D4×C8311yescharacteristic
1432C22×C4C2×D4×C8311yescharacteristic
1433C22×C4C24×C8311yescharacteristic
1434C22×C4C24×C8311yescharacteristic
1435C22×C4C24×C8311yescharacteristic
1436C22×C4C24×C8311yescharacteristic
1437C22×C4C24×C8311yescharacteristic
1438Q16—41no—
1439SD16—41no—
1440SD16—41no—
1441SD16—41no—
1442SD16—41no—
1443D8—41no—
1444D8—41no—
1445D8—41no—
1446M16—41no—
1447M16—41no—
1448M16—41no—
1449M16—41no—
1450C2×C8—41no—
1451C2×C8—41no—
1452C2×C8—41no—
1453C2×C8—41no—
1454C2×C8C24×C8311yescharacteristic
1455C2×C8C24×C8311yescharacteristic
1456C2×C8C24×C8311yescharacteristic
1457C2×C8C24×C8311yescharacteristic
1458C2×C8C24×C8311yescharacteristic
1459C2×C8C24×C8311yescharacteristic
1460C2×C8C24×C8311yescharacteristic
1461C2×C8C24×C8311yescharacteristic
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—21no—
1485C4⋊C4—21no—
1486C4⋊C4—21no—
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4C2×D4×C8311yescharacteristic
1492C4⋊C4C2×D4×C8311yescharacteristic
1493C4⋊C4C2×D4×C8311yescharacteristic
1494C4⋊C4C2×D4×C8311yescharacteristic
1495C4⋊C4C2×D4×C8311yescharacteristic
1496C4⋊C4C2×D4×C8311yescharacteristic
1497C4⋊C4C24×C8311yescharacteristic
1498C4⋊C4C24×C8311yescharacteristic
1499C4⋊C4C24×C8311yescharacteristic
1500C4⋊C4C24×C8311yescharacteristic
1501C4⋊C4C24×C8311yescharacteristic
1502C4⋊C4C24×C8311yescharacteristic
1503C4⋊C4C24×C8311yescharacteristic
1504C4⋊C4C24×C8311yescharacteristic
1505C4⋊C4C24×C8311yescharacteristic
1506C4⋊C4C24×C8311yescharacteristic
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4C2×D4×C8311yescharacteristic
1540C22⋊C4C2×D4×C8311yescharacteristic
1541C22⋊C4C2×D4×C8311yescharacteristic
1542C22⋊C4C2×D4×C8311yescharacteristic
1543C22⋊C4C2×D4×C8311yescharacteristic
1544C22⋊C4C2×D4×C8311yescharacteristic
1545C22⋊C4C2×D4×C8311yescharacteristic
1546C22⋊C4C2×D4×C8311yescharacteristic
1547C22⋊C4C2×D4×C8311yescharacteristic
1548C22⋊C4C2×D4×C8311yescharacteristic
1549C42—21no—
1550C42—21no—
1551C42—21no—
1552C42—21no—
1553C42—21no—
1554C42—21no—
1555C42—21no—
1556C42—21no—
1557C42C24×C8311yescharacteristic
1558C42C24×C8311yescharacteristic
1559C23—22no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—41no—
1565C23—41no—
1566C23—42no—
1567C23—81no—
1568C23—81no—
1569C23—81no—
1570C23—81no—
1571C23—81no—
1572C23C22×D4×C8311yescharacteristic
1573C23C22×D4×C8311yescharacteristic
1574C23C22×D4×C8311yescharacteristic
1575C23C22×D4×C8311yescharacteristic
1576C23C22×D4×C8311yescharacteristic
1577Q8—21no—
1578Q8—21no—
1579Q8—21no—
1580Q8—21no—
1581Q8—41no—
1582Q8—81no—
1583Q8—81no—
1584Q8—81no—
1585D4—22no—
1586D4—22no—
1587D4—21no—
1588D4—21no—
1589D4—21no—
1590D4—21no—
1591D4—21no—
1592D4—21no—
1593D4—21no—
1594D4—21no—
1595D4—41no—
1596D4—41no—
1597D4—41no—
1598D4—41no—
1599D4—41no—
1600D4—42no—
1601D4—42no—
1602D4—42no—
1603D4—42no—
1604D4—81no—
1605D4—81no—
1606D4—81no—
1607D4—81no—
1608D4—81no—
1609D4—81no—
1610D4—81no—
1611D4—81no—
1612D4—81no—
1613D4—81no—
1614D4—81no—
1615D4—81no—
1616D4—81no—
1617D4—81no—
1618D4—81no—
1619D4—81no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—41no—
1643C2×C4—41no—
1644C2×C4—41no—
1645C2×C4—42no—
1646C2×C4—42no—
1647C2×C4—42no—
1648C2×C4—42no—
1649C2×C4—81no—
1650C2×C4—81no—
1651C2×C4—81no—
1652C2×C4—81no—
1653C2×C4—81no—
1654C2×C4—81no—
1655C2×C4—81no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—81no—
1659C2×C4—81no—
1660C2×C4—81no—
1661C2×C4—81no—
1662C2×C4—81no—
1663C2×C4C22×D4×C8311yescharacteristic
1664C2×C4C22×D4×C8311yescharacteristic
1665C2×C4C22×D4×C8311yescharacteristic
1666C2×C4C22×D4×C8311yescharacteristic
1667C2×C4C22×D4×C8311yescharacteristic
1668C2×C4C22×D4×C8311yescharacteristic
1669C2×C4C22×D4×C8311yescharacteristic
1670C2×C4C22×D4×C8311yescharacteristic
1671C2×C4C22×D4×C8311yescharacteristic
1672C2×C4C25×C8311yescharacteristic
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—21no—
1677C8—21no—
1678C8—21no—
1679C8—21no—
1680C8—21no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—21no—
1685C22—21no—
1686C22—21no—
1687C22—21no—
1688C22—21no—
1689C22—21no—
1690C22—21no—
1691C22—21no—
1692C22—21no—
1693C22—21no—
1694C22—21no—
1695C22—44no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—162no—
1709C22—162no—
1710C22#577×C8312yes—
1711C22C23×D4×C8311yescharacteristic
1712C4—21no—
1713C4—21no—
1714C4—21no—
1715C4—21no—
1716C4—21no—
1717C4—21no—
1718C4—21no—
1719C4—21no—
1720C4—21no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4#585×C8311yescharacteristic
1734C4#585×C8311yescharacteristic
1735C2—22no—
1736C2—41no—
1737C2—41no—
1738C2—41no—
1739C2—41no—
1740C2—81no—
1741C2—81no—
1742C2—81no—
1743C2—81no—
1744C2C83×#348511yescharacteristic
1745C2C2×#577×C8311yescharacteristic
1746C2C83×#358511yescharacteristic
subgroupG/H
center, socleC22×C83C23×D4
commutator, Frattini, cosocleC2×C4C25×C83
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C83 ◁ #525×C83 ◁ G

Complements

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

NH ≅ G/Ntype
1. C83×#3542C2semidirect
2. C83×#3492C2semidirect
3. C83×#3354C2semidirect
4. C83×#3351C2semidirect
5. C83×#3348C2semidirect
6. C83×#3345C2semidirect
7. C83×#3345C2semidirect
8. C83×#3344C2semidirect
9. C83×#3337C2semidirect
10. C83×#3335C2semidirect
11. C83×#3332C2semidirect
12. C83×#3323C2semidirect
13. C83×#3318C2semidirect
14. C83×#3317C2semidirect
15. C83×#3314C2semidirect
16. C83×#3306C2semidirect
17. C83×#3297C2semidirect
18. C83×#3295C2semidirect
19. C83×#3244C2semidirect
20. C83×#3241C2semidirect
21. C83×#3204C2semidirect
22. C83×#3198C2semidirect
23. C83×#3194C2semidirect
24. C83×#3191C2semidirect
25. C83×#3125C2semidirect
26. C83×#3119C2semidirect
27. C83×#3099C2semidirect
28. C83×#3096C2semidirect
29. C83×#3092C2semidirect
30. C2×#481×C83C2semidirect
31. C83×#2976C2semidirect
37. #554×C83C22semidirect
41. #553×C83C22semidirect
44. #552×C83C22semidirect
45. #552×C83C22semidirect
50. #547×C83C22semidirect
51. #547×C83C22semidirect
56. #544×C83C22semidirect
64. #537×C83C22semidirect
72. #525×C83C22semidirect
74. #520×C83C22semidirect
75. #520×C83C22semidirect
76. C22×C4⋊C4×C83C22semidirect
77. #501×C83C22semidirect
78. #501×C83C22semidirect
79. #499×C83C22semidirect
80. #498×C83C22semidirect
81. #490×C83C22semidirect
82. #489×C83C22semidirect
83. #488×C83C22semidirect
84. #486×C83C22semidirect
85. #485×C83C22semidirect
86. #485×C83C22semidirect
87. #485×C83C22semidirect
88. #485×C83C22semidirect
89. #484×C83C22semidirect
90. #484×C83C22semidirect
91. #483×C83C22semidirect
92. #483×C83C22semidirect
93. #483×C83C22semidirect
94. #483×C83C22semidirect
95. #483×C83C22semidirect
97. #482×C83C22semidirect
98. #482×C83C22semidirect
99. #482×C83C22semidirect
100. #482×C83C22semidirect
101. #482×C83C22semidirect
102. #482×C83C22semidirect
103. #482×C83C22semidirect
110. #481×C83C22semidirect
111. #481×C83C22semidirect
112. #481×C83C22semidirect
113. #481×C83C22semidirect
114. #481×C83C22semidirect
115. #481×C83C22semidirect
116. #481×C83C22semidirect
117. #480×C83C22semidirect
118. #480×C83C22semidirect
119. #480×C83C22semidirect
120. #480×C83C22semidirect
121. #479×C83C22semidirect
122. #479×C83C22semidirect
123. #478×C83C22semidirect
124. #478×C83C22semidirect
125. #478×C83C22semidirect
126. #478×C83C22semidirect
127. #476×C83C22semidirect
128. #476×C83C22semidirect
129. #476×C83C22semidirect
130. #475×C83C22semidirect
131. #475×C83C22semidirect
132. #474×C83C22semidirect
133. #470×C83C22semidirect
135. #469×C83C22semidirect
136. #469×C83C22semidirect
137. #469×C83C22semidirect
139. #468×C83C22semidirect
140. #468×C83C22semidirect
141. #467×C83C22semidirect
143. #466×C83C22semidirect
145. #465×C83C22semidirect
146. #465×C83C22semidirect
147. #465×C83C22semidirect
148. #465×C83C22semidirect
149. #464×C83C22semidirect
150. #463×C83C22semidirect
151. #460×C83C22semidirect
152. #459×C83C22semidirect
153. #452×C83C22semidirect
154. #452×C83C22semidirect
155. #452×C83C22semidirect
157. #450×C83C22semidirect
159. #449×C83C22semidirect
160. #449×C83C22semidirect
161. #449×C83C22semidirect
162. #449×C83C22semidirect
164. #447×C83C22semidirect
165. #442×C83C22semidirect
166. #442×C83C22semidirect
167. #441×C83C22semidirect
168. #440×C83C22semidirect
169. C4×SD16×C83C22semidirect
170. C4×SD16×C83C22semidirect
171. C4×SD16×C83C22semidirect
172. C4×D8×C83C22semidirect
173. #436×C83C22semidirect
174. #436×C83C22semidirect
176. #435×C83C22semidirect
177. #435×C83C22semidirect
178. #435×C83C22semidirect
180. C8×D4×C83C22semidirect
181. #433×C83C22semidirect
182. #433×C83C22semidirect
183. #428×C83C22semidirect
184. #428×C83C22semidirect
185. #428×C83C22semidirect
186. #428×C83C22semidirect
187. #427×C83C22semidirect
188. C2×#106×C83C22semidirect
189. C2×#106×C83C22semidirect
190. C2×#106×C83C22semidirect
191. #418×C83C22semidirect
192. #417×C83C22semidirect
193. #417×C83C22semidirect
194. #417×C83C22semidirect
195. #416×C83C22semidirect
198. C2×#102×C83C22semidirect
199. #408×C83C22semidirect
200. #408×C83C22semidirect
201. #407×C83C22semidirect
202. C2×C22⋊C8×C83C22semidirect
861. #61746C83direct (N × H)
874. #3542C2×C83semidirect
875. #3492C2×C83semidirect
876. #3354C2×C83semidirect
877. #3351C2×C83semidirect
878. #3348C2×C83semidirect
879. #3345C2×C83semidirect
880. #3345C2×C83semidirect
881. #3344C2×C83semidirect
882. #3337C2×C83semidirect
883. #3335C2×C83semidirect
884. #3332C2×C83semidirect
885. #3323C2×C83semidirect
886. #3318C2×C83semidirect
887. #3317C2×C83semidirect
888. #3314C2×C83semidirect
889. #3306C2×C83semidirect
890. #3297C2×C83semidirect
891. #3295C2×C83semidirect
892. #3244C2×C83semidirect
893. #3241C2×C83semidirect
894. #3204C2×C83semidirect
895. #3198C2×C83semidirect
896. #3194C2×C83semidirect
897. #3191C2×C83semidirect
898. #3125C2×C83semidirect
899. #3119C2×C83semidirect
900. #3099C2×C83semidirect
901. #3096C2×C83semidirect
902. #3092C2×C83semidirect
903. C2×#481C2×C83semidirect
904. #2976C2×C83semidirect
905. C83#61746direct (N × H)
911. #554C22×C83semidirect
915. #553C22×C83semidirect
918. #552C22×C83semidirect
919. #552C22×C83semidirect
924. #547C22×C83semidirect
925. #547C22×C83semidirect
930. #544C22×C83semidirect
938. #537C22×C83semidirect
946. #525C22×C83semidirect
948. #520C22×C83semidirect
949. #520C22×C83semidirect
950. C22×C4⋊C4C22×C83semidirect
951. #501C22×C83semidirect
952. #501C22×C83semidirect
953. #499C22×C83semidirect
954. #498C22×C83semidirect
955. #490C22×C83semidirect
956. #489C22×C83semidirect
957. #488C22×C83semidirect
958. #486C22×C83semidirect
959. #485C22×C83semidirect
960. #485C22×C83semidirect
961. #485C22×C83semidirect
962. #485C22×C83semidirect
963. #484C22×C83semidirect
964. #484C22×C83semidirect
965. #483C22×C83semidirect
966. #483C22×C83semidirect
967. #483C22×C83semidirect
968. #483C22×C83semidirect
969. #483C22×C83semidirect
971. #482C22×C83semidirect
972. #482C22×C83semidirect
973. #482C22×C83semidirect
974. #482C22×C83semidirect
975. #482C22×C83semidirect
976. #482C22×C83semidirect
977. #482C22×C83semidirect
984. #481C22×C83semidirect
985. #481C22×C83semidirect
986. #481C22×C83semidirect
987. #481C22×C83semidirect
988. #481C22×C83semidirect
989. #481C22×C83semidirect
990. #481C22×C83semidirect
991. #480C22×C83semidirect
992. #480C22×C83semidirect
993. #480C22×C83semidirect
994. #480C22×C83semidirect
995. #479C22×C83semidirect
996. #479C22×C83semidirect
997. #478C22×C83semidirect
998. #478C22×C83semidirect
999. #478C22×C83semidirect
1000. #478C22×C83semidirect
1001. #476C22×C83semidirect
1002. #476C22×C83semidirect
1003. #476C22×C83semidirect
1004. #475C22×C83semidirect
1005. #475C22×C83semidirect
1006. #474C22×C83semidirect
1007. #470C22×C83semidirect
1009. #469C22×C83semidirect
1010. #469C22×C83semidirect
1011. #469C22×C83semidirect
1013. #468C22×C83semidirect
1014. #468C22×C83semidirect
1015. #467C22×C83semidirect
1017. #466C22×C83semidirect
1019. #465C22×C83semidirect
1020. #465C22×C83semidirect
1021. #465C22×C83semidirect
1022. #465C22×C83semidirect
1023. #464C22×C83semidirect
1024. #463C22×C83semidirect
1025. #460C22×C83semidirect
1026. #459C22×C83semidirect
1027. #452C22×C83semidirect
1028. #452C22×C83semidirect
1029. #452C22×C83semidirect
1031. #450C22×C83semidirect
1033. #449C22×C83semidirect
1034. #449C22×C83semidirect
1035. #449C22×C83semidirect
1036. #449C22×C83semidirect
1038. #447C22×C83semidirect
1039. #442C22×C83semidirect
1040. #442C22×C83semidirect
1041. #441C22×C83semidirect
1042. #440C22×C83semidirect
1043. C4×SD16C22×C83semidirect
1044. C4×SD16C22×C83semidirect
1045. C4×SD16C22×C83semidirect
1046. C4×D8C22×C83semidirect
1047. #436C22×C83semidirect
1048. #436C22×C83semidirect
1050. #435C22×C83semidirect
1051. #435C22×C83semidirect
1052. #435C22×C83semidirect
1054. C8×D4C22×C83semidirect
1055. #433C22×C83semidirect
1056. #433C22×C83semidirect
1057. #428C22×C83semidirect
1058. #428C22×C83semidirect
1059. #428C22×C83semidirect
1060. #428C22×C83semidirect
1061. #427C22×C83semidirect
1062. C2×#106C22×C83semidirect
1063. C2×#106C22×C83semidirect
1064. C2×#106C22×C83semidirect
1065. #418C22×C83semidirect
1066. #417C22×C83semidirect
1067. #417C22×C83semidirect
1068. #417C22×C83semidirect
1069. #416C22×C83semidirect
1072. C2×#102C22×C83semidirect
1073. #408C22×C83semidirect
1074. #408C22×C83semidirect
1075. #407C22×C83semidirect
1076. C2×C22⋊C8C22×C83semidirect

Maximal subgroups

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

subgroupindex
C83×#35422
C83×#34922
C83×#33542
C83×#33512
C83×#33482
C83×#33452
C83×#33442
C83×#33372
C83×#33352
C83×#33322
C83×#33232
C83×#33182
C83×#33172
C83×#33142
C83×#33062
C83×#32972
C83×#32952
C83×#32442
C83×#32412
C83×#32042
C83×#31982
C83×#31942
C83×#31912
C83×#31252
C83×#31192
C83×#30992
C83×#30962
C83×#30922
C2×#481×C832
C83×#29762
#6174683