Finite Group Databasebeta

← C83×#62138 #35289962

Subgroups — C83×#62138 #35289962

Order 21248.

1732 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×#3515C211yesmaximal, characteristic, complemented
2C83×#3475C211yesmaximal, characteristic, complemented
3C83×#3389C211yesmaximal, characteristic, complemented
4C83×#3388C211yesmaximal, characteristic, complemented
5C83×#3377C211yesmaximal, characteristic, complemented
6C83×#3376C211yesmaximal, characteristic, complemented
7C83×#3348C211yesmaximal, characteristic, complemented
8C83×#3347C211yesmaximal, characteristic, complemented
9C83×#3344C211yesmaximal, characteristic, complemented
10C83×#3343C211yesmaximal, characteristic, complemented
11C83×#3337C211yesmaximal, characteristic, complemented
12C83×#3336C211yesmaximal, characteristic, complemented
13C83×#3315C211yesmaximal, characteristic, complemented
14C83×#3314C211yesmaximal, characteristic, complemented
15C83×#3307C211yesmaximal, characteristic, complemented
16C83×#3306C211yesmaximal, characteristic, complemented
17C83×#3297C211yesmaximal, characteristic, complemented
18C83×#3296C211yesmaximal, characteristic, complemented
19C83×#3256C211yesmaximal, characteristic, complemented
20C83×#3250C211yesmaximal, characteristic, complemented
21C83×#3248C211yesmaximal, characteristic, complemented
22C83×#3240C211yesmaximal, characteristic, complemented
23C83×#3236C211yesmaximal, characteristic, complemented
24C83×#3232C211yesmaximal, characteristic, complemented
25C83×#3114C211yesmaximal, characteristic, complemented
26C83×#3111C211yesmaximal, characteristic, complemented
27C83×#3102C211yesmaximal, characteristic, complemented
28C83×#3080C211yesmaximal, characteristic, complemented
29C83×#3076C211yesmaximal, characteristic, complemented
30C2×#478×C83C211yesmaximal, characteristic, complemented
31C83×#2990C211yesmaximal, characteristic, complemented
32#557×C83C2211yescharacteristic, complemented
33#556×C83C2211yescharacteristic
34#555×C83C2211yescharacteristic
35#554×C83C2211yescharacteristic
36#554×C83C2211yescharacteristic
37#554×C83C2211yescharacteristic, complemented
38#553×C83—21no—
39#553×C83C2211yescharacteristic
40#553×C83C2211yescharacteristic, complemented
41#552×C83—21no—
42#552×C83—21no—
43#552×C83—21no—
44#552×C83—21no—
45#552×C83C2211yescharacteristic
46#552×C83C2211yescharacteristic
47#552×C83C2211yescharacteristic
48#552×C83C2211yescharacteristic, complemented
49#551×C83—21no—
50#551×C83—21no—
51#547×C83—21no—
52#547×C83C2211yescharacteristic
53#547×C83C2211yescharacteristic
54#546×C83C2211yescharacteristic
55#546×C83C2211yescharacteristic
56#541×C83—21no—
57#539×C83—21no—
58#539×C83—21no—
59#533×C83C2211yescharacteristic
60#533×C83C2211yescharacteristic, complemented
61#529×C83—21no—
62#529×C83—21no—
63#529×C83C2211yescharacteristic
64#529×C83C2211yescharacteristic
65#529×C83C2211yescharacteristic
66#529×C83C2211yescharacteristic, complemented
67#529×C83C2211yescharacteristic, complemented
68C2×#125×C83C2211yescharacteristic
69C2×#125×C83C2211yescharacteristic, complemented
70#525×C83—21no—
71#520×C83—21no—
72C4×#41×C83C2211yescharacteristic
73C4×#41×C83C2211yescharacteristic
74C4×#41×C83C2211yescharacteristic
75C2×C4×D4×C83C2211yescharacteristic
76C2×#117×C83—21no—
77#501×C83C2211yescharacteristic, complemented
78#501×C83C2211yescharacteristic, complemented
79#501×C83C2211yescharacteristic, complemented
80#501×C83C2211yescharacteristic, complemented
81#499×C83C2211yescharacteristic, complemented
82#499×C83C2211yescharacteristic, complemented
83#491×C83C2211yescharacteristic, complemented
84#491×C83C2211yescharacteristic, complemented
85#489×C83C2211yescharacteristic
86#489×C83C2211yescharacteristic
87#488×C83C2211yescharacteristic
88#488×C83C2211yescharacteristic
89#485×C83C2211yescharacteristic, complemented
90#485×C83C2211yescharacteristic, complemented
91#485×C83C2211yescharacteristic, complemented
92#485×C83C2211yescharacteristic, complemented
93#484×C83C2211yescharacteristic
94#484×C83C2211yescharacteristic
95#484×C83C2211yescharacteristic, complemented
96#483×C83C2211yescharacteristic
97#483×C83C2211yescharacteristic
98#483×C83C2211yescharacteristic
99#483×C83C2211yescharacteristic, complemented
100#482×C83C2211yescharacteristic
101#482×C83C2211yescharacteristic
102#482×C83C2211yescharacteristic, complemented
103#482×C83C2211yescharacteristic, complemented
104#481×C83C2211yescharacteristic
105#480×C83C2211yescharacteristic
106#480×C83C2211yescharacteristic
107#479×C83C2211yescharacteristic, complemented
108#479×C83C2211yescharacteristic, complemented
109#479×C83C2211yescharacteristic, complemented
110#479×C83C2211yescharacteristic, complemented
111#479×C83C2211yescharacteristic, complemented
112#479×C83C2211yescharacteristic, complemented
113#479×C83C2211yescharacteristic, complemented
114#479×C83C2211yescharacteristic, complemented
115#479×C83C2211yescharacteristic, complemented
116#479×C83C2211yescharacteristic, complemented
117#478×C83C2211yescharacteristic
118#478×C83C2211yescharacteristic
119#478×C83C2211yescharacteristic
120#478×C83C2211yescharacteristic
121#478×C83C2211yescharacteristic
122#478×C83C2211yescharacteristic
123#478×C83C2211yescharacteristic
124#478×C83C2211yescharacteristic
125#478×C83C2211yescharacteristic
126#478×C83C2211yescharacteristic
127#478×C83C2211yescharacteristic
128#478×C83C2211yescharacteristic
129#478×C83C2211yescharacteristic, complemented
130#478×C83C2211yescharacteristic, complemented
131#477×C83C2211yescharacteristic, complemented
132#476×C83C2211yescharacteristic
133#475×C83C2211yescharacteristic, complemented
134#475×C83C2211yescharacteristic, complemented
135#474×C83C2211yescharacteristic
136#474×C83C2211yescharacteristic, complemented
137#470×C83C2211yescharacteristic, complemented
138#469×C83C2211yescharacteristic
139#468×C83C2211yescharacteristic
140#468×C83C2211yescharacteristic, complemented
141#467×C83C2211yescharacteristic
142#467×C83C2211yescharacteristic
143#467×C83C2211yescharacteristic, complemented
144#466×C83C2211yescharacteristic
145#465×C83C2211yescharacteristic
146#465×C83C2211yescharacteristic
147#465×C83C2211yescharacteristic
148#465×C83C2211yescharacteristic, complemented
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#440×C83C2211yescharacteristic
172#440×C83C2211yescharacteristic
173#440×C83C2211yescharacteristic
174#440×C83C2211yescharacteristic, complemented
175C4×Q16×C83C2211yescharacteristic, complemented
176C4×SD16×C83C2211yescharacteristic
177C4×SD16×C83C2211yescharacteristic, complemented
178C4×D8×C83C2211yescharacteristic
179#435×C83C2211yescharacteristic
180#435×C83C2211yescharacteristic
181#435×C83C2211yescharacteristic, complemented
182#435×C83C2211yescharacteristic, complemented
183C8×D4×C83C2211yescharacteristic
184C8×D4×C83C2211yescharacteristic
185#432×C83C2211yescharacteristic
186#432×C83C2211yescharacteristic, complemented
187#431×C83C2211yescharacteristic, complemented
188#428×C83C2211yescharacteristic, complemented
189#428×C83C2211yescharacteristic, complemented
190#427×C83C2211yescharacteristic, complemented
191#427×C83C2211yescharacteristic, complemented
192C2×#107×C83C2211yescharacteristic
193C2×#106×C83C2211yescharacteristic
194#423×C83C2211yescharacteristic, complemented
195C2×C4⋊C8×C83C2211yescharacteristic
196C2×C4⋊C8×C83C2211yescharacteristic, complemented
197#417×C83C2211yescharacteristic
198#417×C83C2211yescharacteristic
199#416×C83C2211yescharacteristic
200#416×C83C2211yescharacteristic
201C2×#102×C83C2211yescharacteristic
202C2×#102×C83C2211yescharacteristic
203C2×#41×C83—21no—
204C2×#41×C83D411yescharacteristic
205C2×#41×C83C2311yescharacteristic
206C2×#41×C83C2311yescharacteristic
207C22×D4×C83C2311yescharacteristic
208C23×C4×C83—21no—
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
219C22×C8×C83C2311yescharacteristic
220C22×C8×C83C2311yescharacteristic
221C22×C8×C83C2311yescharacteristic
222C22×C8×C83C2311yescharacteristic
223C4⋊Q8×C83—21no—
224C4⋊Q8×C83C2311yescharacteristic
225C4⋊Q8×C83C2311yescharacteristic
226C4⋊Q8×C83C2311yescharacteristic
227C4⋊Q8×C83C2311yescharacteristic
228#126×C83—21no—
229#126×C83—21no—
230#126×C83—21no—
231#126×C83—21no—
232#126×C83—21no—
233#126×C83—21no—
234#126×C83—21no—
235#126×C83—21no—
236#126×C83—21no—
237#126×C83—21no—
238#126×C83—21no—
239#126×C83—21no—
240#126×C83—21no—
241#125×C83—21no—
242#125×C83—21no—
243#125×C83—21no—
244#125×C83—21no—
245#125×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×C83—21no—
253#125×C83C2311yescharacteristic
254#125×C83C2311yescharacteristic
255#125×C83C2311yescharacteristic
256#125×C83C2311yescharacteristic
257#125×C83C2311yescharacteristic
258#125×C83C2311yescharacteristic
259#125×C83C2311yescharacteristic
260#125×C83C2311yescharacteristic
261#125×C83C2311yescharacteristic
262#124×C83—21no—
263#124×C83—21no—
264#124×C83C2311yescharacteristic
265#124×C83C2311yescharacteristic
266#124×C83C2311yescharacteristic
267#123×C83—21no—
268#123×C83—21no—
269#123×C83—21no—
270#123×C83—21no—
271#123×C83—21no—
272#123×C83—21no—
273#123×C83—21no—
274#123×C83—21no—
275#123×C83—21no—
276#123×C83—21no—
277#123×C83—21no—
278#123×C83—21no—
279#123×C83—21no—
280#123×C83—21no—
281#123×C83—21no—
282#123×C83—21no—
283#123×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×C83—21no—
294C22⋊Q8×C83—21no—
295C22⋊Q8×C83—21no—
296C22⋊Q8×C83—21no—
297C22⋊Q8×C83C2311yescharacteristic
298C22⋊Q8×C83C2311yescharacteristic
299C22⋊Q8×C83C2311yescharacteristic
300C22⋊Q8×C83C2311yescharacteristic
301C22⋊Q8×C83C2311yescharacteristic
302C22⋊Q8×C83C2311yescharacteristic
303C22⋊Q8×C83C2311yescharacteristic
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×C83C2311yescharacteristic
311#121×C83C2311yescharacteristic
312#121×C83C2311yescharacteristic
313#121×C83C2311yescharacteristic
314#121×C83C2311yescharacteristic
315#120×C83—21no—
316#120×C83—21no—
317C4×Q8×C83—21no—
318C4×Q8×C83—21no—
319C4×Q8×C83—21no—
320C4×Q8×C83—21no—
321C4×Q8×C83D411yescharacteristic
322C4×Q8×C83C2311yescharacteristic
323C4×Q8×C83C2311yescharacteristic
324C4×Q8×C83C2311yescharacteristic
325C4×Q8×C83C2311yescharacteristic
326C4×Q8×C83C2311yescharacteristic
327C4×Q8×C83C2311yescharacteristic
328C4×Q8×C83C2311yescharacteristic
329C4×Q8×C83C2311yescharacteristic
330C4×D4×C83—21no—
331C4×D4×C83—21no—
332C4×D4×C83—21no—
333C4×D4×C83—21no—
334C4×D4×C83—21no—
335C4×D4×C83—21no—
336C4×D4×C83—21no—
337C4×D4×C83—21no—
338C4×D4×C83—21no—
339C4×D4×C83—21no—
340C4×D4×C83—21no—
341C4×D4×C83—21no—
342C4×D4×C83—21no—
343C4×D4×C83—21no—
344C4×D4×C83D411yescharacteristic
345C4×D4×C83D411yescharacteristic
346C4×D4×C83D411yescharacteristic
347C4×D4×C83C2311yescharacteristic
348C4×D4×C83C2311yescharacteristic
349C4×D4×C83C2311yescharacteristic
350C4×D4×C83C2311yescharacteristic
351C4×D4×C83C2311yescharacteristic
352C4×D4×C83C2311yescharacteristic
353C4×D4×C83C2311yescharacteristic
354C4×D4×C83C2311yescharacteristic
355C4×D4×C83C2311yescharacteristic
356C4×D4×C83C2311yescharacteristic
357C4×D4×C83C2311yescharacteristic
358C4×D4×C83C2311yescharacteristic
359#117×C83—21no—
360#117×C83—21no—
361#117×C83—21no—
362#117×C83—21no—
363#117×C83—21no—
364#117×C83—21no—
365#117×C83—21no—
366#117×C83—21no—
367#117×C83—21no—
368#117×C83—21no—
369#117×C83—21no—
370#117×C83—21no—
371#117×C83—21no—
372#117×C83—21no—
373#117×C83D411yescharacteristic
374#117×C83D411yescharacteristic
375#117×C83D411yescharacteristic
376#117×C83C2311yescharacteristic
377#117×C83C2311yescharacteristic
378#117×C83C2311yescharacteristic
379#117×C83C2311yescharacteristic
380C2×C4⋊C4×C83—21no—
381C2×C4⋊C4×C83—21no—
382C2×C4⋊C4×C83—21no—
383C2×C4⋊C4×C83—21no—
384C2×C4⋊C4×C83—21no—
385C2×C4⋊C4×C83—21no—
386C2×C4⋊C4×C83—21no—
387C2×C4⋊C4×C83C2311yescharacteristic
388C2×C4⋊C4×C83C2311yescharacteristic
389C2×C4⋊C4×C83C2311yescharacteristic
390C2×C4⋊C4×C83C2311yescharacteristic
391C2×C4⋊C4×C83C2311yescharacteristic
392C2×C22⋊C4×C83—21no—
393C2×C22⋊C4×C83—21no—
394C2×C22⋊C4×C83—21no—
395C2×C42×C83—21no—
396C2×C42×C83—21no—
397C2×C42×C83C2311yescharacteristic
398C2×C42×C83C2311yescharacteristic
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—42no—
482#41×C83—41no—
483#41×C83—41no—
484#41×C83—44no—
485C2×Q8×C83—21no—
486C2×Q8×C83—21no—
487C2×Q8×C83—21no—
488C2×Q8×C83C2×D411yescharacteristic
489C2×Q8×C83C2411yescharacteristic
490C2×Q8×C83C2411yescharacteristic
491C2×Q8×C83C2411yescharacteristic
492C2×D4×C83—22no—
493C2×D4×C83—21no—
494C2×D4×C83—21no—
495C2×D4×C83—21no—
496C2×D4×C83—21no—
497C2×D4×C83—21no—
498C2×D4×C83—21no—
499C2×D4×C83—21no—
500C2×D4×C83—21no—
501C2×D4×C83—41no—
502C2×D4×C83C2×D411yescharacteristic
503C2×D4×C83C2×D411yescharacteristic
504C2×D4×C83C2×D411yescharacteristic
505C2×D4×C83C2411yescharacteristic
506C2×D4×C83C2411yescharacteristic
507C2×D4×C83C2411yescharacteristic
508C22×C4×C83—21no—
509C22×C4×C83—21no—
510C22×C4×C83—21no—
511C22×C4×C83—21no—
512C22×C4×C83—21no—
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—44no—
525C22×C4×C83C2×D411yescharacteristic
526C22×C4×C83C2×D411yescharacteristic
527C22×C4×C83C2×D411yescharacteristic
528C22×C4×C83C2×D411yescharacteristic
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—
544C2×C8×C83—41no—
545C2×C8×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×C83—21no—
595C4⋊C4×C83—21no—
596C4⋊C4×C83—21no—
597C4⋊C4×C83—21no—
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
651C42×C83—21no—
652C42×C83—21no—
653C42×C83—21no—
654C42×C83—21no—
655C42×C83—21no—
656C42×C83—21no—
657C42×C83—21no—
658C42×C83—21no—
659C42×C83—21no—
660C42×C83—21no—
661C42×C83—21no—
662C42×C83C2×D411yescharacteristic
663C42×C83C2×D411yescharacteristic
664C42×C83C2×D411yescharacteristic
665C42×C83C2×D411yescharacteristic
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—42no—
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—42no—
689Q8×C83—81no—
690Q8×C83—81no—
691D4×C83—22no—
692D4×C83—22no—
693D4×C83—21no—
694D4×C83—21no—
695D4×C83—21no—
696D4×C83—21no—
697D4×C83—21no—
698D4×C83—41no—
699D4×C83—42no—
700D4×C83—42no—
701D4×C83—42no—
702D4×C83—42no—
703D4×C83—42no—
704D4×C83—81no—
705D4×C83—81no—
706D4×C83—81no—
707D4×C832−1+412yes—
708C2×C4×C83—22no—
709C2×C4×C83—21no—
710C2×C4×C83—21no—
711C2×C4×C83—21no—
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—41no—
729C2×C4×C83—41no—
730C2×C4×C83—41no—
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—42no—
739C2×C4×C83—42no—
740C2×C4×C83—42no—
741C2×C4×C83—42no—
742C2×C4×C83—42no—
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—22no—
776C22×C83—21no—
777C22×C83—21no—
778C22×C83—41no—
779C22×C83—41no—
780C22×C83—41no—
781C22×C83—41no—
782C22×C83—41no—
783C22×C83—41no—
784C22×C83—41no—
785C22×C83—41no—
786C22×C83—84no—
787C22×C83#57512yes—
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#62138C8311yesmaximal, characteristic, direct product factor, Sylow
816C2×C83—22no—
817C2×C83—41no—
818C2×C83—41no—
819C2×C83—42no—
820C2×C83—81no—
821C2×C83—81no—
822C2×C83#348911yescharacteristic
823C2×C83C2×#57511yescharacteristic
824C2×C83#358411yescharacteristic
825#3515C2×C8311yescharacteristic, complemented
826#3475C2×C8311yescharacteristic, complemented
827#3389C2×C8311yescharacteristic, complemented
828#3388C2×C8311yescharacteristic, complemented
829#3377C2×C8311yescharacteristic, complemented
830#3376C2×C8311yescharacteristic, complemented
831#3348C2×C8311yescharacteristic, complemented
832#3347C2×C8311yescharacteristic, complemented
833#3344C2×C8311yescharacteristic, complemented
834#3343C2×C8311yescharacteristic, complemented
835#3337C2×C8311yescharacteristic, complemented
836#3336C2×C8311yescharacteristic, complemented
837#3315C2×C8311yescharacteristic, complemented
838#3314C2×C8311yescharacteristic, complemented
839#3307C2×C8311yescharacteristic, complemented
840#3306C2×C8311yescharacteristic, complemented
841#3297C2×C8311yescharacteristic, complemented
842#3296C2×C8311yescharacteristic, complemented
843#3256C2×C8311yescharacteristic, complemented
844#3250C2×C8311yescharacteristic, complemented
845#3248C2×C8311yescharacteristic, complemented
846#3240C2×C8311yescharacteristic, complemented
847#3236C2×C8311yescharacteristic, complemented
848#3232C2×C8311yescharacteristic, complemented
849#3114C2×C8311yescharacteristic, complemented
850#3111C2×C8311yescharacteristic, complemented
851#3102C2×C8311yescharacteristic, complemented
852#3080C2×C8311yescharacteristic, complemented
853#3076C2×C8311yescharacteristic, complemented
854C2×#478C2×C8311yescharacteristic, complemented
855#2990C2×C8311yescharacteristic, complemented
856C83#6213811yescharacteristic, direct product factor, Sylow
857#557C22×C8311yescharacteristic, complemented
858#556C22×C8311yescharacteristic
859#555C22×C8311yescharacteristic
860#554C22×C8311yescharacteristic
861#554C22×C8311yescharacteristic
862#554C22×C8311yescharacteristic, complemented
863#553—21no—
864#553C22×C8311yescharacteristic
865#553C22×C8311yescharacteristic, complemented
866#552—21no—
867#552—21no—
868#552—21no—
869#552—21no—
870#552C22×C8311yescharacteristic
871#552C22×C8311yescharacteristic
872#552C22×C8311yescharacteristic
873#552C22×C8311yescharacteristic, complemented
874#551—21no—
875#551—21no—
876#547—21no—
877#547C22×C8311yescharacteristic
878#547C22×C8311yescharacteristic
879#546C22×C8311yescharacteristic
880#546C22×C8311yescharacteristic
881#541—21no—
882#539—21no—
883#539—21no—
884#533C22×C8311yescharacteristic
885#533C22×C8311yescharacteristic, complemented
886#529—21no—
887#529—21no—
888#529C22×C8311yescharacteristic
889#529C22×C8311yescharacteristic
890#529C22×C8311yescharacteristic
891#529C22×C8311yescharacteristic, complemented
892#529C22×C8311yescharacteristic, complemented
893C2×#125C22×C8311yescharacteristic
894C2×#125C22×C8311yescharacteristic, complemented
895#525—21no—
896#520—21no—
897C4×#41C22×C8311yescharacteristic
898C4×#41C22×C8311yescharacteristic
899C4×#41C22×C8311yescharacteristic
900C2×C4×D4C22×C8311yescharacteristic
901C2×#117—21no—
902#501C22×C8311yescharacteristic, complemented
903#501C22×C8311yescharacteristic, complemented
904#501C22×C8311yescharacteristic, complemented
905#501C22×C8311yescharacteristic, complemented
906#499C22×C8311yescharacteristic, complemented
907#499C22×C8311yescharacteristic, complemented
908#491C22×C8311yescharacteristic, complemented
909#491C22×C8311yescharacteristic, complemented
910#489C22×C8311yescharacteristic
911#489C22×C8311yescharacteristic
912#488C22×C8311yescharacteristic
913#488C22×C8311yescharacteristic
914#485C22×C8311yescharacteristic, complemented
915#485C22×C8311yescharacteristic, complemented
916#485C22×C8311yescharacteristic, complemented
917#485C22×C8311yescharacteristic, complemented
918#484C22×C8311yescharacteristic
919#484C22×C8311yescharacteristic
920#484C22×C8311yescharacteristic, complemented
921#483C22×C8311yescharacteristic
922#483C22×C8311yescharacteristic
923#483C22×C8311yescharacteristic
924#483C22×C8311yescharacteristic, complemented
925#482C22×C8311yescharacteristic
926#482C22×C8311yescharacteristic
927#482C22×C8311yescharacteristic, complemented
928#482C22×C8311yescharacteristic, complemented
929#481C22×C8311yescharacteristic
930#480C22×C8311yescharacteristic
931#480C22×C8311yescharacteristic
932#479C22×C8311yescharacteristic, complemented
933#479C22×C8311yescharacteristic, complemented
934#479C22×C8311yescharacteristic, complemented
935#479C22×C8311yescharacteristic, complemented
936#479C22×C8311yescharacteristic, complemented
937#479C22×C8311yescharacteristic, complemented
938#479C22×C8311yescharacteristic, complemented
939#479C22×C8311yescharacteristic, complemented
940#479C22×C8311yescharacteristic, complemented
941#479C22×C8311yescharacteristic, complemented
942#478C22×C8311yescharacteristic
943#478C22×C8311yescharacteristic
944#478C22×C8311yescharacteristic
945#478C22×C8311yescharacteristic
946#478C22×C8311yescharacteristic
947#478C22×C8311yescharacteristic
948#478C22×C8311yescharacteristic
949#478C22×C8311yescharacteristic
950#478C22×C8311yescharacteristic
951#478C22×C8311yescharacteristic
952#478C22×C8311yescharacteristic
953#478C22×C8311yescharacteristic
954#478C22×C8311yescharacteristic, complemented
955#478C22×C8311yescharacteristic, complemented
956#477C22×C8311yescharacteristic, complemented
957#476C22×C8311yescharacteristic
958#475C22×C8311yescharacteristic, complemented
959#475C22×C8311yescharacteristic, complemented
960#474C22×C8311yescharacteristic
961#474C22×C8311yescharacteristic, complemented
962#470C22×C8311yescharacteristic, complemented
963#469C22×C8311yescharacteristic
964#468C22×C8311yescharacteristic
965#468C22×C8311yescharacteristic, complemented
966#467C22×C8311yescharacteristic
967#467C22×C8311yescharacteristic
968#467C22×C8311yescharacteristic, complemented
969#466C22×C8311yescharacteristic
970#465C22×C8311yescharacteristic
971#465C22×C8311yescharacteristic
972#465C22×C8311yescharacteristic
973#465C22×C8311yescharacteristic, complemented
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#440C22×C8311yescharacteristic
997#440C22×C8311yescharacteristic
998#440C22×C8311yescharacteristic
999#440C22×C8311yescharacteristic, complemented
1000C4×Q16C22×C8311yescharacteristic, complemented
1001C4×SD16C22×C8311yescharacteristic
1002C4×SD16C22×C8311yescharacteristic, complemented
1003C4×D8C22×C8311yescharacteristic
1004#435C22×C8311yescharacteristic
1005#435C22×C8311yescharacteristic
1006#435C22×C8311yescharacteristic, complemented
1007#435C22×C8311yescharacteristic, complemented
1008C8×D4C22×C8311yescharacteristic
1009C8×D4C22×C8311yescharacteristic
1010#432C22×C8311yescharacteristic
1011#432C22×C8311yescharacteristic, complemented
1012#431C22×C8311yescharacteristic, complemented
1013#428C22×C8311yescharacteristic, complemented
1014#428C22×C8311yescharacteristic, complemented
1015#427C22×C8311yescharacteristic, complemented
1016#427C22×C8311yescharacteristic, complemented
1017C2×#107C22×C8311yescharacteristic
1018C2×#106C22×C8311yescharacteristic
1019#423C22×C8311yescharacteristic, complemented
1020C2×C4⋊C8C22×C8311yescharacteristic
1021C2×C4⋊C8C22×C8311yescharacteristic, complemented
1022#417C22×C8311yescharacteristic
1023#417C22×C8311yescharacteristic
1024#416C22×C8311yescharacteristic
1025#416C22×C8311yescharacteristic
1026C2×#102C22×C8311yescharacteristic
1027C2×#102C22×C8311yescharacteristic
1028C2×#41—21no—
1029C2×#41D4×C8311yescharacteristic
1030C2×#41C23×C8311yescharacteristic
1031C2×#41C23×C8311yescharacteristic
1032C22×D4C23×C8311yescharacteristic
1033C23×C4—21no—
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
1044C22×C8C23×C8311yescharacteristic
1045C22×C8C23×C8311yescharacteristic
1046C22×C8C23×C8311yescharacteristic
1047C22×C8C23×C8311yescharacteristic
1048C4⋊Q8—21no—
1049C4⋊Q8C23×C8311yescharacteristic
1050C4⋊Q8C23×C8311yescharacteristic
1051C4⋊Q8C23×C8311yescharacteristic
1052C4⋊Q8C23×C8311yescharacteristic
1053#126—21no—
1054#126—21no—
1055#126—21no—
1056#126—21no—
1057#126—21no—
1058#126—21no—
1059#126—21no—
1060#126—21no—
1061#126—21no—
1062#126—21no—
1063#126—21no—
1064#126—21no—
1065#126—21no—
1066#125—21no—
1067#125—21no—
1068#125—21no—
1069#125—21no—
1070#125—21no—
1071#125—21no—
1072#125—21no—
1073#125—21no—
1074#125—21no—
1075#125—21no—
1076#125—21no—
1077#125—21no—
1078#125C23×C8311yescharacteristic
1079#125C23×C8311yescharacteristic
1080#125C23×C8311yescharacteristic
1081#125C23×C8311yescharacteristic
1082#125C23×C8311yescharacteristic
1083#125C23×C8311yescharacteristic
1084#125C23×C8311yescharacteristic
1085#125C23×C8311yescharacteristic
1086#125C23×C8311yescharacteristic
1087#124—21no—
1088#124—21no—
1089#124C23×C8311yescharacteristic
1090#124C23×C8311yescharacteristic
1091#124C23×C8311yescharacteristic
1092#123—21no—
1093#123—21no—
1094#123—21no—
1095#123—21no—
1096#123—21no—
1097#123—21no—
1098#123—21no—
1099#123—21no—
1100#123—21no—
1101#123—21no—
1102#123—21no—
1103#123—21no—
1104#123—21no—
1105#123—21no—
1106#123—21no—
1107#123—21no—
1108#123—21no—
1109C22⋊Q8—21no—
1110C22⋊Q8—21no—
1111C22⋊Q8—21no—
1112C22⋊Q8—21no—
1113C22⋊Q8—21no—
1114C22⋊Q8—21no—
1115C22⋊Q8—21no—
1116C22⋊Q8—21no—
1117C22⋊Q8—21no—
1118C22⋊Q8—21no—
1119C22⋊Q8—21no—
1120C22⋊Q8—21no—
1121C22⋊Q8—21no—
1122C22⋊Q8C23×C8311yescharacteristic
1123C22⋊Q8C23×C8311yescharacteristic
1124C22⋊Q8C23×C8311yescharacteristic
1125C22⋊Q8C23×C8311yescharacteristic
1126C22⋊Q8C23×C8311yescharacteristic
1127C22⋊Q8C23×C8311yescharacteristic
1128C22⋊Q8C23×C8311yescharacteristic
1129#121—21no—
1130#121—21no—
1131#121—21no—
1132#121—21no—
1133#121—21no—
1134#121—21no—
1135#121C23×C8311yescharacteristic
1136#121C23×C8311yescharacteristic
1137#121C23×C8311yescharacteristic
1138#121C23×C8311yescharacteristic
1139#121C23×C8311yescharacteristic
1140#120—21no—
1141#120—21no—
1142C4×Q8—21no—
1143C4×Q8—21no—
1144C4×Q8—21no—
1145C4×Q8—21no—
1146C4×Q8D4×C8311yescharacteristic
1147C4×Q8C23×C8311yescharacteristic
1148C4×Q8C23×C8311yescharacteristic
1149C4×Q8C23×C8311yescharacteristic
1150C4×Q8C23×C8311yescharacteristic
1151C4×Q8C23×C8311yescharacteristic
1152C4×Q8C23×C8311yescharacteristic
1153C4×Q8C23×C8311yescharacteristic
1154C4×Q8C23×C8311yescharacteristic
1155C4×D4—21no—
1156C4×D4—21no—
1157C4×D4—21no—
1158C4×D4—21no—
1159C4×D4—21no—
1160C4×D4—21no—
1161C4×D4—21no—
1162C4×D4—21no—
1163C4×D4—21no—
1164C4×D4—21no—
1165C4×D4—21no—
1166C4×D4—21no—
1167C4×D4—21no—
1168C4×D4—21no—
1169C4×D4D4×C8311yescharacteristic
1170C4×D4D4×C8311yescharacteristic
1171C4×D4D4×C8311yescharacteristic
1172C4×D4C23×C8311yescharacteristic
1173C4×D4C23×C8311yescharacteristic
1174C4×D4C23×C8311yescharacteristic
1175C4×D4C23×C8311yescharacteristic
1176C4×D4C23×C8311yescharacteristic
1177C4×D4C23×C8311yescharacteristic
1178C4×D4C23×C8311yescharacteristic
1179C4×D4C23×C8311yescharacteristic
1180C4×D4C23×C8311yescharacteristic
1181C4×D4C23×C8311yescharacteristic
1182C4×D4C23×C8311yescharacteristic
1183C4×D4C23×C8311yescharacteristic
1184#117—21no—
1185#117—21no—
1186#117—21no—
1187#117—21no—
1188#117—21no—
1189#117—21no—
1190#117—21no—
1191#117—21no—
1192#117—21no—
1193#117—21no—
1194#117—21no—
1195#117—21no—
1196#117—21no—
1197#117—21no—
1198#117D4×C8311yescharacteristic
1199#117D4×C8311yescharacteristic
1200#117D4×C8311yescharacteristic
1201#117C23×C8311yescharacteristic
1202#117C23×C8311yescharacteristic
1203#117C23×C8311yescharacteristic
1204#117C23×C8311yescharacteristic
1205C2×C4⋊C4—21no—
1206C2×C4⋊C4—21no—
1207C2×C4⋊C4—21no—
1208C2×C4⋊C4—21no—
1209C2×C4⋊C4—21no—
1210C2×C4⋊C4—21no—
1211C2×C4⋊C4—21no—
1212C2×C4⋊C4C23×C8311yescharacteristic
1213C2×C4⋊C4C23×C8311yescharacteristic
1214C2×C4⋊C4C23×C8311yescharacteristic
1215C2×C4⋊C4C23×C8311yescharacteristic
1216C2×C4⋊C4C23×C8311yescharacteristic
1217C2×C22⋊C4—21no—
1218C2×C22⋊C4—21no—
1219C2×C22⋊C4—21no—
1220C2×C42—21no—
1221C2×C42—21no—
1222C2×C42C23×C8311yescharacteristic
1223C2×C42C23×C8311yescharacteristic
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—42no—
1307#41—41no—
1308#41—41no—
1309#41—44no—
1310C2×Q8—21no—
1311C2×Q8—21no—
1312C2×Q8—21no—
1313C2×Q8C2×D4×C8311yescharacteristic
1314C2×Q8C24×C8311yescharacteristic
1315C2×Q8C24×C8311yescharacteristic
1316C2×Q8C24×C8311yescharacteristic
1317C2×D4—22no—
1318C2×D4—21no—
1319C2×D4—21no—
1320C2×D4—21no—
1321C2×D4—21no—
1322C2×D4—21no—
1323C2×D4—21no—
1324C2×D4—21no—
1325C2×D4—21no—
1326C2×D4—41no—
1327C2×D4C2×D4×C8311yescharacteristic
1328C2×D4C2×D4×C8311yescharacteristic
1329C2×D4C2×D4×C8311yescharacteristic
1330C2×D4C24×C8311yescharacteristic
1331C2×D4C24×C8311yescharacteristic
1332C2×D4C24×C8311yescharacteristic
1333C22×C4—21no—
1334C22×C4—21no—
1335C22×C4—21no—
1336C22×C4—21no—
1337C22×C4—21no—
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—44no—
1350C22×C4C2×D4×C8311yescharacteristic
1351C22×C4C2×D4×C8311yescharacteristic
1352C22×C4C2×D4×C8311yescharacteristic
1353C22×C4C2×D4×C8311yescharacteristic
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—
1369C2×C8—41no—
1370C2×C8—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⋊C4—21no—
1420C4⋊C4—21no—
1421C4⋊C4—21no—
1422C4⋊C4—21no—
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
1476C42—21no—
1477C42—21no—
1478C42—21no—
1479C42—21no—
1480C42—21no—
1481C42—21no—
1482C42—21no—
1483C42—21no—
1484C42—21no—
1485C42—21no—
1486C42—21no—
1487C42C2×D4×C8311yescharacteristic
1488C42C2×D4×C8311yescharacteristic
1489C42C2×D4×C8311yescharacteristic
1490C42C2×D4×C8311yescharacteristic
1491C42C2×D4×C8311yescharacteristic
1492C42C2×D4×C8311yescharacteristic
1493C42C24×C8311yescharacteristic
1494C42C24×C8311yescharacteristic
1495C42C24×C8311yescharacteristic
1496C42C24×C8311yescharacteristic
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—42no—
1501C23—42no—
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—42no—
1514Q8—81no—
1515Q8—81no—
1516D4—22no—
1517D4—22no—
1518D4—21no—
1519D4—21no—
1520D4—21no—
1521D4—21no—
1522D4—21no—
1523D4—41no—
1524D4—42no—
1525D4—42no—
1526D4—42no—
1527D4—42no—
1528D4—42no—
1529D4—81no—
1530D4—81no—
1531D4—81no—
1532D42−1+4×C8312yes—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
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—41no—
1554C2×C4—41no—
1555C2×C4—41no—
1556C2×C4—41no—
1557C2×C4—41no—
1558C2×C4—42no—
1559C2×C4—42no—
1560C2×C4—42no—
1561C2×C4—42no—
1562C2×C4—42no—
1563C2×C4—42no—
1564C2×C4—42no—
1565C2×C4—42no—
1566C2×C4—42no—
1567C2×C4—42no—
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—22no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—84no—
1612C22#575×C8312yes—
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—22no—
1641C2—41no—
1642C2—41no—
1643C2—42no—
1644C2—81no—
1645C2—81no—
1646C2C83×#348911yescharacteristic
1647C2C2×#575×C8311yescharacteristic
1648C2C83×#358411yescharacteristic
subgroupG/H
center, socleC22×C83C23×D4
commutator, Frattini, cosocleC2×C4C25×C83
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C83 ◁ C4×#41×C83 ◁ G

Complements

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

NH ≅ G/Ntype
1. C83×#3515C2semidirect
2. C83×#3475C2semidirect
3. C83×#3389C2semidirect
4. C83×#3388C2semidirect
5. C83×#3377C2semidirect
6. C83×#3376C2semidirect
7. C83×#3348C2semidirect
8. C83×#3347C2semidirect
9. C83×#3344C2semidirect
10. C83×#3343C2semidirect
11. C83×#3337C2semidirect
12. C83×#3336C2semidirect
13. C83×#3315C2semidirect
14. C83×#3314C2semidirect
15. C83×#3307C2semidirect
16. C83×#3306C2semidirect
17. C83×#3297C2semidirect
18. C83×#3296C2semidirect
19. C83×#3256C2semidirect
20. C83×#3250C2semidirect
21. C83×#3248C2semidirect
22. C83×#3240C2semidirect
23. C83×#3236C2semidirect
24. C83×#3232C2semidirect
25. C83×#3114C2semidirect
26. C83×#3111C2semidirect
27. C83×#3102C2semidirect
28. C83×#3080C2semidirect
29. C83×#3076C2semidirect
30. C2×#478×C83C2semidirect
31. C83×#2990C2semidirect
32. #557×C83C22semidirect
37. #554×C83C22semidirect
40. #553×C83C22semidirect
48. #552×C83C22semidirect
60. #533×C83C22semidirect
66. #529×C83C22semidirect
67. #529×C83C22semidirect
69. C2×#125×C83C22semidirect
77. #501×C83C22semidirect
78. #501×C83C22semidirect
79. #501×C83C22semidirect
80. #501×C83C22semidirect
81. #499×C83C22semidirect
82. #499×C83C22semidirect
83. #491×C83C22semidirect
84. #491×C83C22semidirect
89. #485×C83C22semidirect
90. #485×C83C22semidirect
91. #485×C83C22semidirect
92. #485×C83C22semidirect
95. #484×C83C22semidirect
99. #483×C83C22semidirect
102. #482×C83C22semidirect
103. #482×C83C22semidirect
107. #479×C83C22semidirect
108. #479×C83C22semidirect
109. #479×C83C22semidirect
110. #479×C83C22semidirect
111. #479×C83C22semidirect
112. #479×C83C22semidirect
113. #479×C83C22semidirect
114. #479×C83C22semidirect
115. #479×C83C22semidirect
116. #479×C83C22semidirect
129. #478×C83C22semidirect
130. #478×C83C22semidirect
131. #477×C83C22semidirect
133. #475×C83C22semidirect
134. #475×C83C22semidirect
136. #474×C83C22semidirect
137. #470×C83C22semidirect
140. #468×C83C22semidirect
143. #467×C83C22semidirect
148. #465×C83C22semidirect
151. #464×C83C22semidirect
152. #464×C83C22semidirect
157. #462×C83C22semidirect
158. #461×C83C22semidirect
165. #446×C83C22semidirect
166. #446×C83C22semidirect
170. #441×C83C22semidirect
174. #440×C83C22semidirect
175. C4×Q16×C83C22semidirect
177. C4×SD16×C83C22semidirect
181. #435×C83C22semidirect
182. #435×C83C22semidirect
186. #432×C83C22semidirect
187. #431×C83C22semidirect
188. #428×C83C22semidirect
189. #428×C83C22semidirect
190. #427×C83C22semidirect
191. #427×C83C22semidirect
194. #423×C83C22semidirect
196. C2×C4⋊C8×C83C22semidirect
815. #62138C83direct (N × H)
825. #3515C2×C83semidirect
826. #3475C2×C83semidirect
827. #3389C2×C83semidirect
828. #3388C2×C83semidirect
829. #3377C2×C83semidirect
830. #3376C2×C83semidirect
831. #3348C2×C83semidirect
832. #3347C2×C83semidirect
833. #3344C2×C83semidirect
834. #3343C2×C83semidirect
835. #3337C2×C83semidirect
836. #3336C2×C83semidirect
837. #3315C2×C83semidirect
838. #3314C2×C83semidirect
839. #3307C2×C83semidirect
840. #3306C2×C83semidirect
841. #3297C2×C83semidirect
842. #3296C2×C83semidirect
843. #3256C2×C83semidirect
844. #3250C2×C83semidirect
845. #3248C2×C83semidirect
846. #3240C2×C83semidirect
847. #3236C2×C83semidirect
848. #3232C2×C83semidirect
849. #3114C2×C83semidirect
850. #3111C2×C83semidirect
851. #3102C2×C83semidirect
852. #3080C2×C83semidirect
853. #3076C2×C83semidirect
854. C2×#478C2×C83semidirect
855. #2990C2×C83semidirect
856. C83#62138direct (N × H)
857. #557C22×C83semidirect
862. #554C22×C83semidirect
865. #553C22×C83semidirect
873. #552C22×C83semidirect
885. #533C22×C83semidirect
891. #529C22×C83semidirect
892. #529C22×C83semidirect
894. C2×#125C22×C83semidirect
902. #501C22×C83semidirect
903. #501C22×C83semidirect
904. #501C22×C83semidirect
905. #501C22×C83semidirect
906. #499C22×C83semidirect
907. #499C22×C83semidirect
908. #491C22×C83semidirect
909. #491C22×C83semidirect
914. #485C22×C83semidirect
915. #485C22×C83semidirect
916. #485C22×C83semidirect
917. #485C22×C83semidirect
920. #484C22×C83semidirect
924. #483C22×C83semidirect
927. #482C22×C83semidirect
928. #482C22×C83semidirect
932. #479C22×C83semidirect
933. #479C22×C83semidirect
934. #479C22×C83semidirect
935. #479C22×C83semidirect
936. #479C22×C83semidirect
937. #479C22×C83semidirect
938. #479C22×C83semidirect
939. #479C22×C83semidirect
940. #479C22×C83semidirect
941. #479C22×C83semidirect
954. #478C22×C83semidirect
955. #478C22×C83semidirect
956. #477C22×C83semidirect
958. #475C22×C83semidirect
959. #475C22×C83semidirect
961. #474C22×C83semidirect
962. #470C22×C83semidirect
965. #468C22×C83semidirect
968. #467C22×C83semidirect
973. #465C22×C83semidirect
976. #464C22×C83semidirect
977. #464C22×C83semidirect
982. #462C22×C83semidirect
983. #461C22×C83semidirect
990. #446C22×C83semidirect
991. #446C22×C83semidirect
995. #441C22×C83semidirect
999. #440C22×C83semidirect
1000. C4×Q16C22×C83semidirect
1002. C4×SD16C22×C83semidirect
1006. #435C22×C83semidirect
1007. #435C22×C83semidirect
1011. #432C22×C83semidirect
1012. #431C22×C83semidirect
1013. #428C22×C83semidirect
1014. #428C22×C83semidirect
1015. #427C22×C83semidirect
1016. #427C22×C83semidirect
1019. #423C22×C83semidirect
1021. C2×C4⋊C8C22×C83semidirect

Maximal subgroups

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

subgroupindex
C83×#35152
C83×#34752
C83×#33892
C83×#33882
C83×#33772
C83×#33762
C83×#33482
C83×#33472
C83×#33442
C83×#33432
C83×#33372
C83×#33362
C83×#33152
C83×#33142
C83×#33072
C83×#33062
C83×#32972
C83×#32962
C83×#32562
C83×#32502
C83×#32482
C83×#32402
C83×#32362
C83×#32322
C83×#31142
C83×#31112
C83×#31022
C83×#30802
C83×#30762
C2×#478×C832
C83×#29902
#6213883