Finite Group Databasebeta

← C83×#61458 #35289282

Subgroups — C83×#61458 #35289282

Order 21248.

1836 conjugacy classes of subgroups.

The subgroup lattice has 1692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C83×#3482C211yesmaximal, characteristic, complemented
2C83×#3480C211yesmaximal, characteristic, complemented
3C83×#3401C211yesmaximal, characteristic, complemented
4C83×#3390C211yesmaximal, characteristic, complemented
5C83×#3377C211yesmaximal, characteristic, complemented
6C83×#3371C211yesmaximal, characteristic, complemented
7C83×#3349C211yesmaximal, characteristic, complemented
8C83×#3345C211yesmaximal, characteristic, complemented
9C83×#3337C211yesmaximal, characteristic, complemented
10C83×#3320C211yesmaximal, characteristic, complemented
11C83×#3317C211yesmaximal, characteristic, complemented
12C83×#3313C211yesmaximal, characteristic, complemented
13C83×#3308C211yesmaximal, characteristic, complemented
14C83×#3301C211yesmaximal, characteristic, complemented
15C83×#3300C211yesmaximal, characteristic, complemented
16C83×#3285C211yesmaximal, characteristic, complemented
17C83×#3271C211yesmaximal, characteristic, complemented
18C83×#3270C211yesmaximal, characteristic, complemented
19C83×#3183C211yesmaximal, characteristic, complemented
20C83×#3181C211yesmaximal, characteristic, complemented
21C83×#3180C211yesmaximal, characteristic, complemented
22C83×#3117C211yesmaximal, characteristic, complemented
23C83×#3117C211yesmaximal, characteristic, complemented
24C83×#3116C211yesmaximal, characteristic, complemented
25C83×#3112C211yesmaximal, characteristic, complemented
26C83×#3111C211yesmaximal, characteristic, complemented
27C83×#3111C211yesmaximal, characteristic, complemented
28C83×#2970C211yesmaximal, characteristic, complemented
29C4×#137×C83C211yesmaximal, characteristic, complemented
30C83×#2943C211yesmaximal, characteristic, complemented
31C2×#441×C83C211yesmaximal, characteristic, complemented
32C2×#137×C83C2211yescharacteristic
33C2×#135×C83C2211yescharacteristic
34C22×Q16×C83C2211yescharacteristic
35#559×C83—21no—
36#559×C83C2211yescharacteristic
37#557×C83C2211yescharacteristic
38#557×C83C2211yescharacteristic
39#556×C83—21no—
40#556×C83—21no—
41#556×C83C2211yescharacteristic
42#556×C83C2211yescharacteristic
43#553×C83—21no—
44#553×C83—21no—
45#553×C83C2211yescharacteristic
46#553×C83C2211yescharacteristic
47#552×C83—21no—
48#552×C83—21no—
49#552×C83C2211yescharacteristic
50#552×C83C2211yescharacteristic
51#550×C83C2211yescharacteristic
52D4×Q8×C83C2211yescharacteristic
53#548×C83C2211yescharacteristic
54#548×C83C2211yescharacteristic
55#548×C83C2211yescharacteristic
56#548×C83C2211yescharacteristic
57#547×C83—21no—
58#547×C83C2211yescharacteristic
59#533×C83—21no—
60#533×C83C2211yescharacteristic
61#532×C83—21no—
62#532×C83C2211yescharacteristic
63#529×C83—21no—
64#529×C83—21no—
65#529×C83—21no—
66#529×C83—21no—
67#529×C83C2211yescharacteristic
68#529×C83C2211yescharacteristic
69#529×C83C2211yescharacteristic
70#529×C83C2211yescharacteristic
71C4×#41×C83—21no—
72C4×#41×C83—21no—
73C4×#41×C83C2211yescharacteristic
74C4×#41×C83C2211yescharacteristic
75C4×#41×C83C2211yescharacteristic
76C4×#41×C83C2211yescharacteristic
77C2×C4×Q8×C83C2211yescharacteristic
78C2×C4×Q8×C83C2211yescharacteristic
79C2×C4×Q8×C83C2211yescharacteristic
80#501×C83C2211yescharacteristic
81#501×C83C2211yescharacteristic
82#499×C83C2211yescharacteristic
83#497×C83C2211yescharacteristic
84#496×C83C2211yescharacteristic
85#495×C83C2211yescharacteristic
86#491×C83C2211yescharacteristic
87#490×C83C2211yescharacteristic
88#489×C83C2211yescharacteristic
89#489×C83C2211yescharacteristic
90#488×C83C2211yescharacteristic
91#488×C83C2211yescharacteristic
92#485×C83C2211yescharacteristic
93#485×C83C2211yescharacteristic
94#485×C83C2211yescharacteristic
95#485×C83C2211yescharacteristic
96#484×C83C2211yescharacteristic
97#484×C83C2211yescharacteristic
98#482×C83C2211yescharacteristic
99#482×C83C2211yescharacteristic
100#481×C83C2211yescharacteristic
101#481×C83C2211yescharacteristic
102#480×C83C2211yescharacteristic
103#480×C83C2211yescharacteristic
104#479×C83C2211yescharacteristic
105#479×C83C2211yescharacteristic
106#479×C83C2211yescharacteristic
107#479×C83C2211yescharacteristic
108#479×C83C2211yescharacteristic
109#479×C83C2211yescharacteristic
110#478×C83C2211yescharacteristic
111#478×C83C2211yescharacteristic
112#477×C83C2211yescharacteristic
113#477×C83C2211yescharacteristic
114#477×C83C2211yescharacteristic
115#476×C83C2211yescharacteristic
116#470×C83C2211yescharacteristic
117#469×C83C2211yescharacteristic
118#468×C83C2211yescharacteristic
119#468×C83C2211yescharacteristic
120#467×C83C2211yescharacteristic
121#467×C83C2211yescharacteristic
122#466×C83C2211yescharacteristic
123#466×C83C2211yescharacteristic
124#465×C83C2211yescharacteristic
125#465×C83C2211yescharacteristic
126#465×C83C2211yescharacteristic
127#465×C83C2211yescharacteristic
128#464×C83C2211yescharacteristic
129#464×C83C2211yescharacteristic
130#464×C83C2211yescharacteristic
131#464×C83C2211yescharacteristic
132#464×C83C2211yescharacteristic
133#464×C83C2211yescharacteristic
134#463×C83C2211yescharacteristic
135#463×C83C2211yescharacteristic
136#462×C83C2211yescharacteristic
137#461×C83C2211yescharacteristic
138#460×C83C2211yescharacteristic
139#460×C83C2211yescharacteristic
140#452×C83C2211yescharacteristic
141#452×C83C2211yescharacteristic
142#452×C83C2211yescharacteristic
143#452×C83C2211yescharacteristic
144#451×C83C2211yescharacteristic
145#451×C83C2211yescharacteristic
146#449×C83C2211yescharacteristic
147#449×C83C2211yescharacteristic
148#448×C83C2211yescharacteristic
149#448×C83C2211yescharacteristic
150#448×C83C2211yescharacteristic
151#448×C83C2211yescharacteristic
152#446×C83C2211yescharacteristic
153#446×C83C2211yescharacteristic
154#442×C83C2211yescharacteristic
155#442×C83C2211yescharacteristic
156#442×C83C2211yescharacteristic
157#441×C83C2211yescharacteristic
158#441×C83C2211yescharacteristic
159#441×C83C2211yescharacteristic
160#441×C83C2211yescharacteristic
161#441×C83C2211yescharacteristic
162#441×C83C2211yescharacteristic
163#441×C83C2211yescharacteristic
164#441×C83C2211yescharacteristic
165#441×C83C2211yescharacteristic
166#441×C83C2211yescharacteristic
167#441×C83C2211yescharacteristic
168#440×C83C2211yescharacteristic
169#440×C83C2211yescharacteristic
170#440×C83C2211yescharacteristic
171#440×C83C2211yescharacteristic
172#440×C83C2211yescharacteristic
173#440×C83C2211yescharacteristic
174#440×C83C2211yescharacteristic
175#440×C83C2211yescharacteristic
176#440×C83C2211yescharacteristic
177#440×C83C2211yescharacteristic
178C4×Q16×C83C2211yescharacteristic
179C4×Q16×C83C2211yescharacteristic
180C4×SD16×C83C2211yescharacteristic
181C4×SD16×C83C2211yescharacteristic
182#435×C83C2211yescharacteristic
183#435×C83C2211yescharacteristic
184#435×C83C2211yescharacteristic
185#435×C83C2211yescharacteristic
186C8×D4×C83C2211yescharacteristic
187C8×D4×C83C2211yescharacteristic
188#432×C83C2211yescharacteristic
189#432×C83C2211yescharacteristic
190#432×C83C2211yescharacteristic
191#428×C83C2211yescharacteristic
192#427×C83C2211yescharacteristic
193C2×#106×C83C2211yescharacteristic
194#419×C83C2211yescharacteristic
195#417×C83C2211yescharacteristic
196#416×C83C2211yescharacteristic
197#416×C83C2211yescharacteristic
198C2×#103×C83C2211yescharacteristic
199C2×#103×C83C2211yescharacteristic
200C4×M16×C83C2211yescharacteristic
201C2×#97×C83C2211yescharacteristic
202C2×#97×C83C2211yescharacteristic
203C2×#41×C83—21no—
204C2×#41×C83—21no—
205C2×#41×C83D411yescharacteristic
206C2×#41×C83C2311yescharacteristic
207C2×#41×C83C2311yescharacteristic
208C2×#41×C83C2311yescharacteristic
209C22×Q8×C83C2311yescharacteristic
210C22×Q8×C83C2311yescharacteristic
211C22×Q8×C83C2311yescharacteristic
212#137×C83—24no—
213#135×C83—24no—
214C2×Q16×C83—24no—
215C2×Q16×C83C2311yescharacteristic
216C2×Q16×C83C2311yescharacteristic
217C2×Q16×C83C2311yescharacteristic
218C2×Q16×C83C2311yescharacteristic
219C2×Q16×C83C2311yescharacteristic
220C2×Q16×C83C2311yescharacteristic
221C2×SD16×C83C2311yescharacteristic
222C2×SD16×C83C2311yescharacteristic
223C2×SD16×C83C2311yescharacteristic
224C2×SD16×C83C2311yescharacteristic
225C2×SD16×C83C2311yescharacteristic
226C2×SD16×C83C2311yescharacteristic
227C2×SD16×C83C2311yescharacteristic
228C2×SD16×C83C2311yescharacteristic
229C2×D8×C83C2311yescharacteristic
230C2×D8×C83C2311yescharacteristic
231C2×M16×C83C2311yescharacteristic
232C2×M16×C83C2311yescharacteristic
233C22×C8×C83C2311yescharacteristic
234C22×C8×C83C2311yescharacteristic
235C22×C8×C83C2311yescharacteristic
236C22×C8×C83C2311yescharacteristic
237C4⋊Q8×C83—21no—
238C4⋊Q8×C83—21no—
239C4⋊Q8×C83—21no—
240C4⋊Q8×C83C2311yescharacteristic
241C4⋊Q8×C83C2311yescharacteristic
242C4⋊Q8×C83C2311yescharacteristic
243#127×C83—21no—
244#127×C83C2311yescharacteristic
245#126×C83—21no—
246#126×C83—21no—
247#126×C83—21no—
248#126×C83—21no—
249#126×C83—21no—
250#126×C83—21no—
251#126×C83—21no—
252#126×C83—21no—
253#126×C83—21no—
254#126×C83—21no—
255#126×C83—21no—
256#126×C83—21no—
257#125×C83—21no—
258#125×C83—21no—
259#125×C83—21no—
260#125×C83—21no—
261#125×C83—21no—
262#125×C83—21no—
263#125×C83—21no—
264#125×C83C2311yescharacteristic
265#125×C83C2311yescharacteristic
266#125×C83C2311yescharacteristic
267#125×C83C2311yescharacteristic
268#124×C83—21no—
269#124×C83—21no—
270#124×C83—21no—
271#124×C83—21no—
272#124×C83—21no—
273#124×C83—21no—
274#124×C83—21no—
275#124×C83C2311yescharacteristic
276#124×C83C2311yescharacteristic
277#124×C83C2311yescharacteristic
278#124×C83C2311yescharacteristic
279#123×C83—21no—
280#123×C83—21no—
281#123×C83—21no—
282#123×C83—21no—
283#123×C83—21no—
284#123×C83—21no—
285#123×C83—21no—
286#123×C83—21no—
287#123×C83—21no—
288#123×C83—21no—
289#123×C83—21no—
290#123×C83—21no—
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×C83—21no—
298C22⋊Q8×C83—21no—
299C22⋊Q8×C83—21no—
300C22⋊Q8×C83C2311yescharacteristic
301C22⋊Q8×C83C2311yescharacteristic
302C22⋊Q8×C83C2311yescharacteristic
303C22⋊Q8×C83C2311yescharacteristic
304C22⋊Q8×C83C2311yescharacteristic
305C22⋊Q8×C83C2311yescharacteristic
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×C83C2311yescharacteristic
316#121×C83C2311yescharacteristic
317#121×C83C2311yescharacteristic
318#121×C83C2311yescharacteristic
319#121×C83C2311yescharacteristic
320#121×C83C2311yescharacteristic
321C4×Q8×C83—21no—
322C4×Q8×C83—21no—
323C4×Q8×C83—21no—
324C4×Q8×C83—21no—
325C4×Q8×C83—21no—
326C4×Q8×C83—21no—
327C4×Q8×C83—21no—
328C4×Q8×C83—21no—
329C4×Q8×C83—21no—
330C4×Q8×C83—21no—
331C4×Q8×C83D411yescharacteristic
332C4×Q8×C83C2311yescharacteristic
333C4×Q8×C83C2311yescharacteristic
334C4×Q8×C83C2311yescharacteristic
335C4×Q8×C83C2311yescharacteristic
336C4×Q8×C83C2311yescharacteristic
337C4×Q8×C83C2311yescharacteristic
338C4×Q8×C83C2311yescharacteristic
339C4×Q8×C83C2311yescharacteristic
340C4×Q8×C83C2311yescharacteristic
341C4×Q8×C83C2311yescharacteristic
342C4×Q8×C83C2311yescharacteristic
343C4×Q8×C83C2311yescharacteristic
344C4×Q8×C83C2311yescharacteristic
345C4×Q8×C83C2311yescharacteristic
346C4×Q8×C83C2311yescharacteristic
347C4×D4×C83—21no—
348C4×D4×C83—21no—
349C4×D4×C83—21no—
350C4×D4×C83—21no—
351C4×D4×C83—21no—
352C4×D4×C83—21no—
353C4×D4×C83—21no—
354C4×D4×C83—21no—
355C4×D4×C83—21no—
356C4×D4×C83—21no—
357C4×D4×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×C83—21no—
366C4×D4×C83—21no—
367C4×D4×C83D411yescharacteristic
368C4×D4×C83D411yescharacteristic
369C4×D4×C83D411yescharacteristic
370C4×D4×C83C2311yescharacteristic
371C4×D4×C83C2311yescharacteristic
372C4×D4×C83C2311yescharacteristic
373C4×D4×C83C2311yescharacteristic
374C4×D4×C83C2311yescharacteristic
375C4×D4×C83C2311yescharacteristic
376C4×D4×C83C2311yescharacteristic
377C4×D4×C83C2311yescharacteristic
378C4×D4×C83C2311yescharacteristic
379#117×C83—21no—
380#117×C83—21no—
381#117×C83—21no—
382#117×C83—21no—
383#117×C83—21no—
384#117×C83—21no—
385#117×C83—21no—
386#117×C83—21no—
387#117×C83—21no—
388#117×C83—21no—
389#117×C83—21no—
390#117×C83D411yescharacteristic
391#117×C83D411yescharacteristic
392#117×C83D411yescharacteristic
393#117×C83C2311yescharacteristic
394#117×C83C2311yescharacteristic
395#117×C83C2311yescharacteristic
396C2×C4⋊C4×C83—21no—
397C2×C4⋊C4×C83—21no—
398C2×C4⋊C4×C83—21no—
399C2×C4⋊C4×C83C2311yescharacteristic
400C2×C4⋊C4×C83C2311yescharacteristic
401C2×C4⋊C4×C83C2311yescharacteristic
402C2×C42×C83—21no—
403C2×C42×C83—21no—
404C2×C42×C83—21no—
405C2×C42×C83—21no—
406C2×C42×C83—21no—
407C2×C42×C83—21no—
408C2×C42×C83C2311yescharacteristic
409C2×C42×C83C2311yescharacteristic
410C2×C42×C83C2311yescharacteristic
411#107×C83C2311yescharacteristic
412#107×C83C2311yescharacteristic
413#107×C83C2311yescharacteristic
414#107×C83C2311yescharacteristic
415#107×C83C2311yescharacteristic
416#107×C83C2311yescharacteristic
417#107×C83C2311yescharacteristic
418#107×C83C2311yescharacteristic
419#106×C83C2311yescharacteristic
420#106×C83C2311yescharacteristic
421#106×C83C2311yescharacteristic
422#106×C83C2311yescharacteristic
423#106×C83C2311yescharacteristic
424#106×C83C2311yescharacteristic
425#106×C83C2311yescharacteristic
426#106×C83C2311yescharacteristic
427C4⋊C8×C83C2311yescharacteristic
428C4⋊C8×C83C2311yescharacteristic
429C4⋊C8×C83C2311yescharacteristic
430C4⋊C8×C83C2311yescharacteristic
431C4⋊C8×C83C2311yescharacteristic
432C4⋊C8×C83C2311yescharacteristic
433#103×C83C2311yescharacteristic
434#103×C83C2311yescharacteristic
435#103×C83C2311yescharacteristic
436#103×C83C2311yescharacteristic
437#103×C83C2311yescharacteristic
438#103×C83C2311yescharacteristic
439#103×C83C2311yescharacteristic
440#103×C83C2311yescharacteristic
441#103×C83C2311yescharacteristic
442#103×C83C2311yescharacteristic
443#103×C83C2311yescharacteristic
444#103×C83C2311yescharacteristic
445#103×C83C2311yescharacteristic
446#103×C83C2311yescharacteristic
447#103×C83C2311yescharacteristic
448#103×C83C2311yescharacteristic
449#103×C83C2311yescharacteristic
450#103×C83C2311yescharacteristic
451#103×C83C2311yescharacteristic
452#103×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
465C22⋊C8×C83C2311yescharacteristic
466C22⋊C8×C83C2311yescharacteristic
467C22⋊C8×C83C2311yescharacteristic
468C22⋊C8×C83C2311yescharacteristic
469C22⋊C8×C83C2311yescharacteristic
470C22⋊C8×C83C2311yescharacteristic
471#97×C83C2311yescharacteristic
472#97×C83C2311yescharacteristic
473#97×C83C2311yescharacteristic
474#97×C83C2311yescharacteristic
475#97×C83C2311yescharacteristic
476#97×C83C2311yescharacteristic
477#97×C83C2311yescharacteristic
478#97×C83C2311yescharacteristic
479C4×C8×C83C2311yescharacteristic
480C4×C8×C83C2311yescharacteristic
481#41×C83—22no—
482#41×C83—22no—
483#41×C83—22no—
484#41×C83—42no—
485#41×C83—41no—
486#41×C83—41no—
487#41×C83—41no—
488#41×C83—44no—
489#41×C83—44no—
490C2×Q8×C83—21no—
491C2×Q8×C83—21no—
492C2×Q8×C83—21no—
493C2×Q8×C83—21no—
494C2×Q8×C83—21no—
495C2×Q8×C83—22no—
496C2×Q8×C83—22no—
497C2×Q8×C83—22no—
498C2×Q8×C83—41no—
499C2×Q8×C83—41no—
500C2×Q8×C83—41no—
501C2×Q8×C83C2×D411yescharacteristic
502C2×Q8×C83C2411yescharacteristic
503C2×Q8×C83C2411yescharacteristic
504C2×Q8×C83C2411yescharacteristic
505C2×Q8×C83C2411yescharacteristic
506C2×Q8×C83C2411yescharacteristic
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×C83C2×D411yescharacteristic
519C2×D4×C83C2×D411yescharacteristic
520C2×D4×C83C2×D411yescharacteristic
521C2×D4×C83C2411yescharacteristic
522C2×D4×C83C2411yescharacteristic
523C2×D4×C83C2411yescharacteristic
524C22×C4×C83—21no—
525C22×C4×C83—21no—
526C22×C4×C83—21no—
527C22×C4×C83—21no—
528C22×C4×C83—21no—
529C22×C4×C83—21no—
530C22×C4×C83—21no—
531C22×C4×C83—21no—
532C22×C4×C83—21no—
533C22×C4×C83—21no—
534C22×C4×C83—21no—
535C22×C4×C83—21no—
536C22×C4×C83—21no—
537C22×C4×C83—21no—
538C22×C4×C83—21no—
539C22×C4×C83C2×D411yescharacteristic
540C22×C4×C83C2×D411yescharacteristic
541C22×C4×C83C2×D411yescharacteristic
542C22×C4×C83C2×D411yescharacteristic
543C22×C4×C83C2×D411yescharacteristic
544C22×C4×C83C2×D411yescharacteristic
545C22×C4×C83C2411yescharacteristic
546C22×C4×C83C2411yescharacteristic
547C22×C4×C83C2411yescharacteristic
548Q16×C83—22no—
549Q16×C83—22no—
550Q16×C83—22no—
551Q16×C83—22no—
552Q16×C83—41no—
553Q16×C83#4114yescomplemented
554SD16×C83—22no—
555SD16×C83—22no—
556SD16×C83—22no—
557SD16×C83—22no—
558SD16×C83—41no—
559SD16×C83—41no—
560SD16×C83—41no—
561SD16×C83—41no—
562D8×C83—22no—
563D8×C83—41no—
564M16×C83—22no—
565M16×C83—41no—
566C2×C8×C83—22no—
567C2×C8×C83—22no—
568C2×C8×C83—41no—
569C2×C8×C83—41no—
570C2×C8×C83C2411yescharacteristic
571C2×C8×C83C2411yescharacteristic
572C2×C8×C83C2411yescharacteristic
573C2×C8×C83C2411yescharacteristic
574C2×C8×C83C2411yescharacteristic
575C2×C8×C83C2411yescharacteristic
576C2×C8×C83C2411yescharacteristic
577C2×C8×C83C2411yescharacteristic
578C4⋊C4×C83—21no—
579C4⋊C4×C83—21no—
580C4⋊C4×C83—21no—
581C4⋊C4×C83—21no—
582C4⋊C4×C83—21no—
583C4⋊C4×C83—21no—
584C4⋊C4×C83—21no—
585C4⋊C4×C83—21no—
586C4⋊C4×C83—21no—
587C4⋊C4×C83—21no—
588C4⋊C4×C83—21no—
589C4⋊C4×C83—21no—
590C4⋊C4×C83—21no—
591C4⋊C4×C83—21no—
592C4⋊C4×C83—21no—
593C4⋊C4×C83—21no—
594C4⋊C4×C83—21no—
595C4⋊C4×C83—21no—
596C4⋊C4×C83—21no—
597C4⋊C4×C83—21no—
598C4⋊C4×C83—21no—
599C4⋊C4×C83—21no—
600C4⋊C4×C83—21no—
601C4⋊C4×C83—21no—
602C4⋊C4×C83—21no—
603C4⋊C4×C83—21no—
604C4⋊C4×C83—21no—
605C4⋊C4×C83—21no—
606C4⋊C4×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×C83C2×D411yescharacteristic
614C4⋊C4×C83C2×D411yescharacteristic
615C4⋊C4×C83C2×D411yescharacteristic
616C4⋊C4×C83C2×D411yescharacteristic
617C4⋊C4×C83C2×D411yescharacteristic
618C4⋊C4×C83C2×D411yescharacteristic
619C4⋊C4×C83C2411yescharacteristic
620C4⋊C4×C83C2411yescharacteristic
621C4⋊C4×C83C2411yescharacteristic
622C4⋊C4×C83C2411yescharacteristic
623C4⋊C4×C83C2411yescharacteristic
624C4⋊C4×C83C2411yescharacteristic
625C4⋊C4×C83C2411yescharacteristic
626C4⋊C4×C83C2411yescharacteristic
627C22⋊C4×C83—21no—
628C22⋊C4×C83—21no—
629C22⋊C4×C83—21no—
630C22⋊C4×C83—21no—
631C22⋊C4×C83—21no—
632C22⋊C4×C83—21no—
633C22⋊C4×C83—21no—
634C22⋊C4×C83—21no—
635C22⋊C4×C83—21no—
636C22⋊C4×C83—21no—
637C22⋊C4×C83—21no—
638C22⋊C4×C83—21no—
639C22⋊C4×C83—21no—
640C22⋊C4×C83—21no—
641C22⋊C4×C83—21no—
642C22⋊C4×C83—21no—
643C22⋊C4×C83—21no—
644C22⋊C4×C83—21no—
645C22⋊C4×C83—21no—
646C22⋊C4×C83—21no—
647C22⋊C4×C83—21no—
648C22⋊C4×C83—21no—
649C22⋊C4×C83—21no—
650C22⋊C4×C83—21no—
651C22⋊C4×C83—21no—
652C22⋊C4×C83—21no—
653C22⋊C4×C83—21no—
654C22⋊C4×C83—21no—
655C22⋊C4×C83—21no—
656C22⋊C4×C83C2×D411yescharacteristic
657C22⋊C4×C83C2×D411yescharacteristic
658C22⋊C4×C83C2×D411yescharacteristic
659C22⋊C4×C83C2×D411yescharacteristic
660C22⋊C4×C83C2×D411yescharacteristic
661C22⋊C4×C83C2×D411yescharacteristic
662C42×C83—21no—
663C42×C83—21no—
664C42×C83—21no—
665C42×C83—21no—
666C42×C83—21no—
667C42×C83—21no—
668C42×C83—21no—
669C42×C83—21no—
670C42×C83—21no—
671C42×C83—21no—
672C42×C83—21no—
673C42×C83—21no—
674C42×C83—21no—
675C42×C83—21no—
676C42×C83—21no—
677C42×C83—21no—
678C42×C83—21no—
679C42×C83C2×D411yescharacteristic
680C42×C83C2×D411yescharacteristic
681C42×C83C2×D411yescharacteristic
682C42×C83C2×D411yescharacteristic
683C42×C83C2×D411yescharacteristic
684C42×C83C2×D411yescharacteristic
685C42×C83C2411yescharacteristic
686C42×C83C2411yescharacteristic
687C42×C83C2411yescharacteristic
688C42×C83C2411yescharacteristic
689C23×C83—21no—
690C23×C83—21no—
691C23×C83—21no—
692C23×C83C22×D411yescharacteristic
693C23×C83C22×D411yescharacteristic
694C23×C83C22×D411yescharacteristic
695Q8×C83—21no—
696Q8×C83—21no—
697Q8×C83—21no—
698Q8×C83—21no—
699Q8×C83—21no—
700Q8×C83—21no—
701Q8×C83—21no—
702Q8×C83—21no—
703Q8×C83—41no—
704Q8×C83—42no—
705Q8×C83—42no—
706Q8×C83—42no—
707Q8×C83—42no—
708Q8×C83—42no—
709Q8×C83C2×#4112yes—
710Q8×C83C2×#4112yes—
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—41no—
720D4×C83—42no—
721D4×C83—42no—
722D4×C83—42no—
723D4×C83—42no—
724D4×C83—42no—
725D4×C83—42no—
726D4×C83—42no—
727D4×C83—42no—
728D4×C83—81no—
729D4×C83—81no—
730D4×C83—81no—
731C2×C4×C83—22no—
732C2×C4×C83—21no—
733C2×C4×C83—21no—
734C2×C4×C83—21no—
735C2×C4×C83—21no—
736C2×C4×C83—21no—
737C2×C4×C83—21no—
738C2×C4×C83—21no—
739C2×C4×C83—21no—
740C2×C4×C83—21no—
741C2×C4×C83—21no—
742C2×C4×C83—21no—
743C2×C4×C83—21no—
744C2×C4×C83—21no—
745C2×C4×C83—21no—
746C2×C4×C83—21no—
747C2×C4×C83—21no—
748C2×C4×C83—21no—
749C2×C4×C83—21no—
750C2×C4×C83—21no—
751C2×C4×C83—41no—
752C2×C4×C83—41no—
753C2×C4×C83—41no—
754C2×C4×C83—41no—
755C2×C4×C83—41no—
756C2×C4×C83—42no—
757C2×C4×C83—42no—
758C2×C4×C83—42no—
759C2×C4×C83—42no—
760C2×C4×C83—42no—
761C2×C4×C83—42no—
762C2×C4×C83—42no—
763C2×C4×C83—42no—
764C2×C4×C83—42no—
765C2×C4×C83—42no—
766C2×C4×C83—42no—
767C2×C4×C83—42no—
768C2×C4×C83—81no—
769C2×C4×C83—81no—
770C2×C4×C83—81no—
771C2×C4×C83C22×D411yescharacteristic
772C2×C4×C83C22×D411yescharacteristic
773C2×C4×C83C22×D411yescharacteristic
774C2×C4×C83C22×D411yescharacteristic
775C2×C4×C83C22×D411yescharacteristic
776C2×C4×C83C22×D411yescharacteristic
777C2×C4×C83C22×D411yescharacteristic
778C2×C4×C83C22×D411yescharacteristic
779C2×C4×C83C22×D411yescharacteristic
780C2×C4×C83C22×D411yescharacteristic
781C2×C4×C83C22×D411yescharacteristic
782C2×C4×C83C2511yescharacteristic
783C8×C83—21no—
784C8×C83—21no—
785C8×C83—21no—
786C8×C83—21no—
787C8×C83—21no—
788C8×C83—21no—
789C8×C83—21no—
790C8×C83C2×#4112yes—
791C22×C83—21no—
792C22×C83—21no—
793C22×C83—21no—
794C22×C83—21no—
795C22×C83—21no—
796C22×C83—21no—
797C22×C83—21no—
798C22×C83—21no—
799C22×C83—41no—
800C22×C83—41no—
801C22×C83—41no—
802C22×C83—41no—
803C22×C83—41no—
804C22×C83—41no—
805C22×C83—41no—
806C22×C83—41no—
807C22×C83—41no—
808C22×C83#57512yes—
809C22×C83C23×D411yescharacteristic
810C4×C83—21no—
811C4×C83—21no—
812C4×C83—21no—
813C4×C83—21no—
814C4×C83—21no—
815C4×C83—21no—
816C4×C83—21no—
817C4×C83—22no—
818C4×C83—22no—
819C4×C83—21no—
820C4×C83—21no—
821C4×C83—21no—
822C4×C83—21no—
823C4×C83—41no—
824C4×C83—41no—
825C4×C83—41no—
826C4×C83—41no—
827C4×C83—41no—
828C4×C83—41no—
829C4×C83—41no—
830C4×C83—41no—
831C4×C83—41no—
832C4×C83—41no—
833C4×C83—41no—
834C4×C83C22×#4111yescharacteristic
835C4×C83#58511yescharacteristic
836#61458C8311yesmaximal, characteristic, direct product factor, Sylow
837C2×C83—22no—
838C2×C83—41no—
839C2×C83—41no—
840C2×C83—81no—
841C2×C83—81no—
842C2×C83—81no—
843C2×C83D4×#4111yescharacteristic
844C2×C83C2×#57511yescharacteristic
845C2×C83#358611yescharacteristic
846#3482C2×C8311yescharacteristic, complemented
847#3480C2×C8311yescharacteristic, complemented
848#3401C2×C8311yescharacteristic, complemented
849#3390C2×C8311yescharacteristic, complemented
850#3377C2×C8311yescharacteristic, complemented
851#3371C2×C8311yescharacteristic, complemented
852#3349C2×C8311yescharacteristic, complemented
853#3345C2×C8311yescharacteristic, complemented
854#3337C2×C8311yescharacteristic, complemented
855#3320C2×C8311yescharacteristic, complemented
856#3317C2×C8311yescharacteristic, complemented
857#3313C2×C8311yescharacteristic, complemented
858#3308C2×C8311yescharacteristic, complemented
859#3301C2×C8311yescharacteristic, complemented
860#3300C2×C8311yescharacteristic, complemented
861#3285C2×C8311yescharacteristic, complemented
862#3271C2×C8311yescharacteristic, complemented
863#3270C2×C8311yescharacteristic, complemented
864#3183C2×C8311yescharacteristic, complemented
865#3181C2×C8311yescharacteristic, complemented
866#3180C2×C8311yescharacteristic, complemented
867#3117C2×C8311yescharacteristic, complemented
868#3117C2×C8311yescharacteristic, complemented
869#3116C2×C8311yescharacteristic, complemented
870#3112C2×C8311yescharacteristic, complemented
871#3111C2×C8311yescharacteristic, complemented
872#3111C2×C8311yescharacteristic, complemented
873#2970C2×C8311yescharacteristic, complemented
874C4×#137C2×C8311yescharacteristic, complemented
875#2943C2×C8311yescharacteristic, complemented
876C2×#441C2×C8311yescharacteristic, complemented
877C83#6145811yescharacteristic, direct product factor, Sylow
878C2×#137C22×C8311yescharacteristic
879C2×#135C22×C8311yescharacteristic
880C22×Q16C22×C8311yescharacteristic
881#559—21no—
882#559C22×C8311yescharacteristic
883#557C22×C8311yescharacteristic
884#557C22×C8311yescharacteristic
885#556—21no—
886#556—21no—
887#556C22×C8311yescharacteristic
888#556C22×C8311yescharacteristic
889#553—21no—
890#553—21no—
891#553C22×C8311yescharacteristic
892#553C22×C8311yescharacteristic
893#552—21no—
894#552—21no—
895#552C22×C8311yescharacteristic
896#552C22×C8311yescharacteristic
897#550C22×C8311yescharacteristic
898D4×Q8C22×C8311yescharacteristic
899#548C22×C8311yescharacteristic
900#548C22×C8311yescharacteristic
901#548C22×C8311yescharacteristic
902#548C22×C8311yescharacteristic
903#547—21no—
904#547C22×C8311yescharacteristic
905#533—21no—
906#533C22×C8311yescharacteristic
907#532—21no—
908#532C22×C8311yescharacteristic
909#529—21no—
910#529—21no—
911#529—21no—
912#529—21no—
913#529C22×C8311yescharacteristic
914#529C22×C8311yescharacteristic
915#529C22×C8311yescharacteristic
916#529C22×C8311yescharacteristic
917C4×#41—21no—
918C4×#41—21no—
919C4×#41C22×C8311yescharacteristic
920C4×#41C22×C8311yescharacteristic
921C4×#41C22×C8311yescharacteristic
922C4×#41C22×C8311yescharacteristic
923C2×C4×Q8C22×C8311yescharacteristic
924C2×C4×Q8C22×C8311yescharacteristic
925C2×C4×Q8C22×C8311yescharacteristic
926#501C22×C8311yescharacteristic
927#501C22×C8311yescharacteristic
928#499C22×C8311yescharacteristic
929#497C22×C8311yescharacteristic
930#496C22×C8311yescharacteristic
931#495C22×C8311yescharacteristic
932#491C22×C8311yescharacteristic
933#490C22×C8311yescharacteristic
934#489C22×C8311yescharacteristic
935#489C22×C8311yescharacteristic
936#488C22×C8311yescharacteristic
937#488C22×C8311yescharacteristic
938#485C22×C8311yescharacteristic
939#485C22×C8311yescharacteristic
940#485C22×C8311yescharacteristic
941#485C22×C8311yescharacteristic
942#484C22×C8311yescharacteristic
943#484C22×C8311yescharacteristic
944#482C22×C8311yescharacteristic
945#482C22×C8311yescharacteristic
946#481C22×C8311yescharacteristic
947#481C22×C8311yescharacteristic
948#480C22×C8311yescharacteristic
949#480C22×C8311yescharacteristic
950#479C22×C8311yescharacteristic
951#479C22×C8311yescharacteristic
952#479C22×C8311yescharacteristic
953#479C22×C8311yescharacteristic
954#479C22×C8311yescharacteristic
955#479C22×C8311yescharacteristic
956#478C22×C8311yescharacteristic
957#478C22×C8311yescharacteristic
958#477C22×C8311yescharacteristic
959#477C22×C8311yescharacteristic
960#477C22×C8311yescharacteristic
961#476C22×C8311yescharacteristic
962#470C22×C8311yescharacteristic
963#469C22×C8311yescharacteristic
964#468C22×C8311yescharacteristic
965#468C22×C8311yescharacteristic
966#467C22×C8311yescharacteristic
967#467C22×C8311yescharacteristic
968#466C22×C8311yescharacteristic
969#466C22×C8311yescharacteristic
970#465C22×C8311yescharacteristic
971#465C22×C8311yescharacteristic
972#465C22×C8311yescharacteristic
973#465C22×C8311yescharacteristic
974#464C22×C8311yescharacteristic
975#464C22×C8311yescharacteristic
976#464C22×C8311yescharacteristic
977#464C22×C8311yescharacteristic
978#464C22×C8311yescharacteristic
979#464C22×C8311yescharacteristic
980#463C22×C8311yescharacteristic
981#463C22×C8311yescharacteristic
982#462C22×C8311yescharacteristic
983#461C22×C8311yescharacteristic
984#460C22×C8311yescharacteristic
985#460C22×C8311yescharacteristic
986#452C22×C8311yescharacteristic
987#452C22×C8311yescharacteristic
988#452C22×C8311yescharacteristic
989#452C22×C8311yescharacteristic
990#451C22×C8311yescharacteristic
991#451C22×C8311yescharacteristic
992#449C22×C8311yescharacteristic
993#449C22×C8311yescharacteristic
994#448C22×C8311yescharacteristic
995#448C22×C8311yescharacteristic
996#448C22×C8311yescharacteristic
997#448C22×C8311yescharacteristic
998#446C22×C8311yescharacteristic
999#446C22×C8311yescharacteristic
1000#442C22×C8311yescharacteristic
1001#442C22×C8311yescharacteristic
1002#442C22×C8311yescharacteristic
1003#441C22×C8311yescharacteristic
1004#441C22×C8311yescharacteristic
1005#441C22×C8311yescharacteristic
1006#441C22×C8311yescharacteristic
1007#441C22×C8311yescharacteristic
1008#441C22×C8311yescharacteristic
1009#441C22×C8311yescharacteristic
1010#441C22×C8311yescharacteristic
1011#441C22×C8311yescharacteristic
1012#441C22×C8311yescharacteristic
1013#441C22×C8311yescharacteristic
1014#440C22×C8311yescharacteristic
1015#440C22×C8311yescharacteristic
1016#440C22×C8311yescharacteristic
1017#440C22×C8311yescharacteristic
1018#440C22×C8311yescharacteristic
1019#440C22×C8311yescharacteristic
1020#440C22×C8311yescharacteristic
1021#440C22×C8311yescharacteristic
1022#440C22×C8311yescharacteristic
1023#440C22×C8311yescharacteristic
1024C4×Q16C22×C8311yescharacteristic
1025C4×Q16C22×C8311yescharacteristic
1026C4×SD16C22×C8311yescharacteristic
1027C4×SD16C22×C8311yescharacteristic
1028#435C22×C8311yescharacteristic
1029#435C22×C8311yescharacteristic
1030#435C22×C8311yescharacteristic
1031#435C22×C8311yescharacteristic
1032C8×D4C22×C8311yescharacteristic
1033C8×D4C22×C8311yescharacteristic
1034#432C22×C8311yescharacteristic
1035#432C22×C8311yescharacteristic
1036#432C22×C8311yescharacteristic
1037#428C22×C8311yescharacteristic
1038#427C22×C8311yescharacteristic
1039C2×#106C22×C8311yescharacteristic
1040#419C22×C8311yescharacteristic
1041#417C22×C8311yescharacteristic
1042#416C22×C8311yescharacteristic
1043#416C22×C8311yescharacteristic
1044C2×#103C22×C8311yescharacteristic
1045C2×#103C22×C8311yescharacteristic
1046C4×M16C22×C8311yescharacteristic
1047C2×#97C22×C8311yescharacteristic
1048C2×#97C22×C8311yescharacteristic
1049C2×#41—21no—
1050C2×#41—21no—
1051C2×#41D4×C8311yescharacteristic
1052C2×#41C23×C8311yescharacteristic
1053C2×#41C23×C8311yescharacteristic
1054C2×#41C23×C8311yescharacteristic
1055C22×Q8C23×C8311yescharacteristic
1056C22×Q8C23×C8311yescharacteristic
1057C22×Q8C23×C8311yescharacteristic
1058#137—24no—
1059#135—24no—
1060C2×Q16—24no—
1061C2×Q16C23×C8311yescharacteristic
1062C2×Q16C23×C8311yescharacteristic
1063C2×Q16C23×C8311yescharacteristic
1064C2×Q16C23×C8311yescharacteristic
1065C2×Q16C23×C8311yescharacteristic
1066C2×Q16C23×C8311yescharacteristic
1067C2×SD16C23×C8311yescharacteristic
1068C2×SD16C23×C8311yescharacteristic
1069C2×SD16C23×C8311yescharacteristic
1070C2×SD16C23×C8311yescharacteristic
1071C2×SD16C23×C8311yescharacteristic
1072C2×SD16C23×C8311yescharacteristic
1073C2×SD16C23×C8311yescharacteristic
1074C2×SD16C23×C8311yescharacteristic
1075C2×D8C23×C8311yescharacteristic
1076C2×D8C23×C8311yescharacteristic
1077C2×M16C23×C8311yescharacteristic
1078C2×M16C23×C8311yescharacteristic
1079C22×C8C23×C8311yescharacteristic
1080C22×C8C23×C8311yescharacteristic
1081C22×C8C23×C8311yescharacteristic
1082C22×C8C23×C8311yescharacteristic
1083C4⋊Q8—21no—
1084C4⋊Q8—21no—
1085C4⋊Q8—21no—
1086C4⋊Q8C23×C8311yescharacteristic
1087C4⋊Q8C23×C8311yescharacteristic
1088C4⋊Q8C23×C8311yescharacteristic
1089#127—21no—
1090#127C23×C8311yescharacteristic
1091#126—21no—
1092#126—21no—
1093#126—21no—
1094#126—21no—
1095#126—21no—
1096#126—21no—
1097#126—21no—
1098#126—21no—
1099#126—21no—
1100#126—21no—
1101#126—21no—
1102#126—21no—
1103#125—21no—
1104#125—21no—
1105#125—21no—
1106#125—21no—
1107#125—21no—
1108#125—21no—
1109#125—21no—
1110#125C23×C8311yescharacteristic
1111#125C23×C8311yescharacteristic
1112#125C23×C8311yescharacteristic
1113#125C23×C8311yescharacteristic
1114#124—21no—
1115#124—21no—
1116#124—21no—
1117#124—21no—
1118#124—21no—
1119#124—21no—
1120#124—21no—
1121#124C23×C8311yescharacteristic
1122#124C23×C8311yescharacteristic
1123#124C23×C8311yescharacteristic
1124#124C23×C8311yescharacteristic
1125#123—21no—
1126#123—21no—
1127#123—21no—
1128#123—21no—
1129#123—21no—
1130#123—21no—
1131#123—21no—
1132#123—21no—
1133#123—21no—
1134#123—21no—
1135#123—21no—
1136#123—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—21no—
1139C22⋊Q8—21no—
1140C22⋊Q8—21no—
1141C22⋊Q8—21no—
1142C22⋊Q8—21no—
1143C22⋊Q8—21no—
1144C22⋊Q8—21no—
1145C22⋊Q8—21no—
1146C22⋊Q8C23×C8311yescharacteristic
1147C22⋊Q8C23×C8311yescharacteristic
1148C22⋊Q8C23×C8311yescharacteristic
1149C22⋊Q8C23×C8311yescharacteristic
1150C22⋊Q8C23×C8311yescharacteristic
1151C22⋊Q8C23×C8311yescharacteristic
1152#121—21no—
1153#121—21no—
1154#121—21no—
1155#121—21no—
1156#121—21no—
1157#121—21no—
1158#121—21no—
1159#121—21no—
1160#121—21no—
1161#121C23×C8311yescharacteristic
1162#121C23×C8311yescharacteristic
1163#121C23×C8311yescharacteristic
1164#121C23×C8311yescharacteristic
1165#121C23×C8311yescharacteristic
1166#121C23×C8311yescharacteristic
1167C4×Q8—21no—
1168C4×Q8—21no—
1169C4×Q8—21no—
1170C4×Q8—21no—
1171C4×Q8—21no—
1172C4×Q8—21no—
1173C4×Q8—21no—
1174C4×Q8—21no—
1175C4×Q8—21no—
1176C4×Q8—21no—
1177C4×Q8D4×C8311yescharacteristic
1178C4×Q8C23×C8311yescharacteristic
1179C4×Q8C23×C8311yescharacteristic
1180C4×Q8C23×C8311yescharacteristic
1181C4×Q8C23×C8311yescharacteristic
1182C4×Q8C23×C8311yescharacteristic
1183C4×Q8C23×C8311yescharacteristic
1184C4×Q8C23×C8311yescharacteristic
1185C4×Q8C23×C8311yescharacteristic
1186C4×Q8C23×C8311yescharacteristic
1187C4×Q8C23×C8311yescharacteristic
1188C4×Q8C23×C8311yescharacteristic
1189C4×Q8C23×C8311yescharacteristic
1190C4×Q8C23×C8311yescharacteristic
1191C4×Q8C23×C8311yescharacteristic
1192C4×Q8C23×C8311yescharacteristic
1193C4×D4—21no—
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—21no—
1197C4×D4—21no—
1198C4×D4—21no—
1199C4×D4—21no—
1200C4×D4—21no—
1201C4×D4—21no—
1202C4×D4—21no—
1203C4×D4—21no—
1204C4×D4—21no—
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—21no—
1208C4×D4—21no—
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—21no—
1212C4×D4—21no—
1213C4×D4D4×C8311yescharacteristic
1214C4×D4D4×C8311yescharacteristic
1215C4×D4D4×C8311yescharacteristic
1216C4×D4C23×C8311yescharacteristic
1217C4×D4C23×C8311yescharacteristic
1218C4×D4C23×C8311yescharacteristic
1219C4×D4C23×C8311yescharacteristic
1220C4×D4C23×C8311yescharacteristic
1221C4×D4C23×C8311yescharacteristic
1222C4×D4C23×C8311yescharacteristic
1223C4×D4C23×C8311yescharacteristic
1224C4×D4C23×C8311yescharacteristic
1225#117—21no—
1226#117—21no—
1227#117—21no—
1228#117—21no—
1229#117—21no—
1230#117—21no—
1231#117—21no—
1232#117—21no—
1233#117—21no—
1234#117—21no—
1235#117—21no—
1236#117D4×C8311yescharacteristic
1237#117D4×C8311yescharacteristic
1238#117D4×C8311yescharacteristic
1239#117C23×C8311yescharacteristic
1240#117C23×C8311yescharacteristic
1241#117C23×C8311yescharacteristic
1242C2×C4⋊C4—21no—
1243C2×C4⋊C4—21no—
1244C2×C4⋊C4—21no—
1245C2×C4⋊C4C23×C8311yescharacteristic
1246C2×C4⋊C4C23×C8311yescharacteristic
1247C2×C4⋊C4C23×C8311yescharacteristic
1248C2×C42—21no—
1249C2×C42—21no—
1250C2×C42—21no—
1251C2×C42—21no—
1252C2×C42—21no—
1253C2×C42—21no—
1254C2×C42C23×C8311yescharacteristic
1255C2×C42C23×C8311yescharacteristic
1256C2×C42C23×C8311yescharacteristic
1257#107C23×C8311yescharacteristic
1258#107C23×C8311yescharacteristic
1259#107C23×C8311yescharacteristic
1260#107C23×C8311yescharacteristic
1261#107C23×C8311yescharacteristic
1262#107C23×C8311yescharacteristic
1263#107C23×C8311yescharacteristic
1264#107C23×C8311yescharacteristic
1265#106C23×C8311yescharacteristic
1266#106C23×C8311yescharacteristic
1267#106C23×C8311yescharacteristic
1268#106C23×C8311yescharacteristic
1269#106C23×C8311yescharacteristic
1270#106C23×C8311yescharacteristic
1271#106C23×C8311yescharacteristic
1272#106C23×C8311yescharacteristic
1273C4⋊C8C23×C8311yescharacteristic
1274C4⋊C8C23×C8311yescharacteristic
1275C4⋊C8C23×C8311yescharacteristic
1276C4⋊C8C23×C8311yescharacteristic
1277C4⋊C8C23×C8311yescharacteristic
1278C4⋊C8C23×C8311yescharacteristic
1279#103C23×C8311yescharacteristic
1280#103C23×C8311yescharacteristic
1281#103C23×C8311yescharacteristic
1282#103C23×C8311yescharacteristic
1283#103C23×C8311yescharacteristic
1284#103C23×C8311yescharacteristic
1285#103C23×C8311yescharacteristic
1286#103C23×C8311yescharacteristic
1287#103C23×C8311yescharacteristic
1288#103C23×C8311yescharacteristic
1289#103C23×C8311yescharacteristic
1290#103C23×C8311yescharacteristic
1291#103C23×C8311yescharacteristic
1292#103C23×C8311yescharacteristic
1293#103C23×C8311yescharacteristic
1294#103C23×C8311yescharacteristic
1295#103C23×C8311yescharacteristic
1296#103C23×C8311yescharacteristic
1297#103C23×C8311yescharacteristic
1298#103C23×C8311yescharacteristic
1299#102C23×C8311yescharacteristic
1300#102C23×C8311yescharacteristic
1301#102C23×C8311yescharacteristic
1302#102C23×C8311yescharacteristic
1303#102C23×C8311yescharacteristic
1304#102C23×C8311yescharacteristic
1305#102C23×C8311yescharacteristic
1306#102C23×C8311yescharacteristic
1307#102C23×C8311yescharacteristic
1308#102C23×C8311yescharacteristic
1309#102C23×C8311yescharacteristic
1310#102C23×C8311yescharacteristic
1311C22⋊C8C23×C8311yescharacteristic
1312C22⋊C8C23×C8311yescharacteristic
1313C22⋊C8C23×C8311yescharacteristic
1314C22⋊C8C23×C8311yescharacteristic
1315C22⋊C8C23×C8311yescharacteristic
1316C22⋊C8C23×C8311yescharacteristic
1317#97C23×C8311yescharacteristic
1318#97C23×C8311yescharacteristic
1319#97C23×C8311yescharacteristic
1320#97C23×C8311yescharacteristic
1321#97C23×C8311yescharacteristic
1322#97C23×C8311yescharacteristic
1323#97C23×C8311yescharacteristic
1324#97C23×C8311yescharacteristic
1325C4×C8C23×C8311yescharacteristic
1326C4×C8C23×C8311yescharacteristic
1327#41—22no—
1328#41—22no—
1329#41—22no—
1330#41—42no—
1331#41—41no—
1332#41—41no—
1333#41—41no—
1334#41—44no—
1335#41—44no—
1336C2×Q8—21no—
1337C2×Q8—21no—
1338C2×Q8—21no—
1339C2×Q8—21no—
1340C2×Q8—21no—
1341C2×Q8—22no—
1342C2×Q8—22no—
1343C2×Q8—22no—
1344C2×Q8—41no—
1345C2×Q8—41no—
1346C2×Q8—41no—
1347C2×Q8C2×D4×C8311yescharacteristic
1348C2×Q8C24×C8311yescharacteristic
1349C2×Q8C24×C8311yescharacteristic
1350C2×Q8C24×C8311yescharacteristic
1351C2×Q8C24×C8311yescharacteristic
1352C2×Q8C24×C8311yescharacteristic
1353C2×D4—21no—
1354C2×D4—21no—
1355C2×D4—21no—
1356C2×D4—21no—
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4C2×D4×C8311yescharacteristic
1365C2×D4C2×D4×C8311yescharacteristic
1366C2×D4C2×D4×C8311yescharacteristic
1367C2×D4C24×C8311yescharacteristic
1368C2×D4C24×C8311yescharacteristic
1369C2×D4C24×C8311yescharacteristic
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—21no—
1377C22×C4—21no—
1378C22×C4—21no—
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4C2×D4×C8311yescharacteristic
1386C22×C4C2×D4×C8311yescharacteristic
1387C22×C4C2×D4×C8311yescharacteristic
1388C22×C4C2×D4×C8311yescharacteristic
1389C22×C4C2×D4×C8311yescharacteristic
1390C22×C4C2×D4×C8311yescharacteristic
1391C22×C4C24×C8311yescharacteristic
1392C22×C4C24×C8311yescharacteristic
1393C22×C4C24×C8311yescharacteristic
1394Q16—22no—
1395Q16—22no—
1396Q16—22no—
1397Q16—22no—
1398Q16—41no—
1399Q16#41×C8314yescomplemented
1400SD16—22no—
1401SD16—22no—
1402SD16—22no—
1403SD16—22no—
1404SD16—41no—
1405SD16—41no—
1406SD16—41no—
1407SD16—41no—
1408D8—22no—
1409D8—41no—
1410M16—22no—
1411M16—41no—
1412C2×C8—22no—
1413C2×C8—22no—
1414C2×C8—41no—
1415C2×C8—41no—
1416C2×C8C24×C8311yescharacteristic
1417C2×C8C24×C8311yescharacteristic
1418C2×C8C24×C8311yescharacteristic
1419C2×C8C24×C8311yescharacteristic
1420C2×C8C24×C8311yescharacteristic
1421C2×C8C24×C8311yescharacteristic
1422C2×C8C24×C8311yescharacteristic
1423C2×C8C24×C8311yescharacteristic
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—21no—
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—21no—
1459C4⋊C4C2×D4×C8311yescharacteristic
1460C4⋊C4C2×D4×C8311yescharacteristic
1461C4⋊C4C2×D4×C8311yescharacteristic
1462C4⋊C4C2×D4×C8311yescharacteristic
1463C4⋊C4C2×D4×C8311yescharacteristic
1464C4⋊C4C2×D4×C8311yescharacteristic
1465C4⋊C4C24×C8311yescharacteristic
1466C4⋊C4C24×C8311yescharacteristic
1467C4⋊C4C24×C8311yescharacteristic
1468C4⋊C4C24×C8311yescharacteristic
1469C4⋊C4C24×C8311yescharacteristic
1470C4⋊C4C24×C8311yescharacteristic
1471C4⋊C4C24×C8311yescharacteristic
1472C4⋊C4C24×C8311yescharacteristic
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4C2×D4×C8311yescharacteristic
1503C22⋊C4C2×D4×C8311yescharacteristic
1504C22⋊C4C2×D4×C8311yescharacteristic
1505C22⋊C4C2×D4×C8311yescharacteristic
1506C22⋊C4C2×D4×C8311yescharacteristic
1507C22⋊C4C2×D4×C8311yescharacteristic
1508C42—21no—
1509C42—21no—
1510C42—21no—
1511C42—21no—
1512C42—21no—
1513C42—21no—
1514C42—21no—
1515C42—21no—
1516C42—21no—
1517C42—21no—
1518C42—21no—
1519C42—21no—
1520C42—21no—
1521C42—21no—
1522C42—21no—
1523C42—21no—
1524C42—21no—
1525C42C2×D4×C8311yescharacteristic
1526C42C2×D4×C8311yescharacteristic
1527C42C2×D4×C8311yescharacteristic
1528C42C2×D4×C8311yescharacteristic
1529C42C2×D4×C8311yescharacteristic
1530C42C2×D4×C8311yescharacteristic
1531C42C24×C8311yescharacteristic
1532C42C24×C8311yescharacteristic
1533C42C24×C8311yescharacteristic
1534C42C24×C8311yescharacteristic
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23C22×D4×C8311yescharacteristic
1539C23C22×D4×C8311yescharacteristic
1540C23C22×D4×C8311yescharacteristic
1541Q8—21no—
1542Q8—21no—
1543Q8—21no—
1544Q8—21no—
1545Q8—21no—
1546Q8—21no—
1547Q8—21no—
1548Q8—21no—
1549Q8—41no—
1550Q8—42no—
1551Q8—42no—
1552Q8—42no—
1553Q8—42no—
1554Q8—42no—
1555Q8C2×#41×C8312yes—
1556Q8C2×#41×C8312yes—
1557D4—22no—
1558D4—22no—
1559D4—21no—
1560D4—21no—
1561D4—21no—
1562D4—21no—
1563D4—21no—
1564D4—21no—
1565D4—41no—
1566D4—42no—
1567D4—42no—
1568D4—42no—
1569D4—42no—
1570D4—42no—
1571D4—42no—
1572D4—42no—
1573D4—42no—
1574D4—81no—
1575D4—81no—
1576D4—81no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—41no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—42no—
1603C2×C4—42no—
1604C2×C4—42no—
1605C2×C4—42no—
1606C2×C4—42no—
1607C2×C4—42no—
1608C2×C4—42no—
1609C2×C4—42no—
1610C2×C4—42no—
1611C2×C4—42no—
1612C2×C4—42no—
1613C2×C4—42no—
1614C2×C4—81no—
1615C2×C4—81no—
1616C2×C4—81no—
1617C2×C4C22×D4×C8311yescharacteristic
1618C2×C4C22×D4×C8311yescharacteristic
1619C2×C4C22×D4×C8311yescharacteristic
1620C2×C4C22×D4×C8311yescharacteristic
1621C2×C4C22×D4×C8311yescharacteristic
1622C2×C4C22×D4×C8311yescharacteristic
1623C2×C4C22×D4×C8311yescharacteristic
1624C2×C4C22×D4×C8311yescharacteristic
1625C2×C4C22×D4×C8311yescharacteristic
1626C2×C4C22×D4×C8311yescharacteristic
1627C2×C4C22×D4×C8311yescharacteristic
1628C2×C4C25×C8311yescharacteristic
1629C8—21no—
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—21no—
1634C8—21no—
1635C8—21no—
1636C8C2×#41×C8312yes—
1637C22—21no—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—21no—
1643C22—21no—
1644C22—21no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22#575×C8312yes—
1655C22C23×D4×C8311yescharacteristic
1656C4—21no—
1657C4—21no—
1658C4—21no—
1659C4—21no—
1660C4—21no—
1661C4—21no—
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—21no—
1666C4—21no—
1667C4—22no—
1668C4—22no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4C22×#41×C8311yescharacteristic
1681C4#585×C8311yescharacteristic
1682C2—22no—
1683C2—41no—
1684C2—41no—
1685C2—81no—
1686C2—81no—
1687C2—81no—
1688C2D4×#41×C8311yescharacteristic
1689C2C2×#575×C8311yescharacteristic
1690C2C83×#358611yescharacteristic
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×#3482C2semidirect
2. C83×#3480C2semidirect
3. C83×#3401C2semidirect
4. C83×#3390C2semidirect
5. C83×#3377C2semidirect
6. C83×#3371C2semidirect
7. C83×#3349C2semidirect
8. C83×#3345C2semidirect
9. C83×#3337C2semidirect
10. C83×#3320C2semidirect
11. C83×#3317C2semidirect
12. C83×#3313C2semidirect
13. C83×#3308C2semidirect
14. C83×#3301C2semidirect
15. C83×#3300C2semidirect
16. C83×#3285C2semidirect
17. C83×#3271C2semidirect
18. C83×#3270C2semidirect
19. C83×#3183C2semidirect
20. C83×#3181C2semidirect
21. C83×#3180C2semidirect
22. C83×#3117C2semidirect
23. C83×#3117C2semidirect
24. C83×#3116C2semidirect
25. C83×#3112C2semidirect
26. C83×#3111C2semidirect
27. C83×#3111C2semidirect
28. C83×#2970C2semidirect
29. C4×#137×C83C2semidirect
30. C83×#2943C2semidirect
31. C2×#441×C83C2semidirect
553. Q16×C83#41semidirect
836. #61458C83direct (N × H)
846. #3482C2×C83semidirect
847. #3480C2×C83semidirect
848. #3401C2×C83semidirect
849. #3390C2×C83semidirect
850. #3377C2×C83semidirect
851. #3371C2×C83semidirect
852. #3349C2×C83semidirect
853. #3345C2×C83semidirect
854. #3337C2×C83semidirect
855. #3320C2×C83semidirect
856. #3317C2×C83semidirect
857. #3313C2×C83semidirect
858. #3308C2×C83semidirect
859. #3301C2×C83semidirect
860. #3300C2×C83semidirect
861. #3285C2×C83semidirect
862. #3271C2×C83semidirect
863. #3270C2×C83semidirect
864. #3183C2×C83semidirect
865. #3181C2×C83semidirect
866. #3180C2×C83semidirect
867. #3117C2×C83semidirect
868. #3117C2×C83semidirect
869. #3116C2×C83semidirect
870. #3112C2×C83semidirect
871. #3111C2×C83semidirect
872. #3111C2×C83semidirect
873. #2970C2×C83semidirect
874. C4×#137C2×C83semidirect
875. #2943C2×C83semidirect
876. C2×#441C2×C83semidirect
877. C83#61458direct (N × H)
1399. Q16#41×C83semidirect

Maximal subgroups

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

subgroupindex
C83×#34822
C83×#34802
C83×#34012
C83×#33902
C83×#33772
C83×#33712
C83×#33492
C83×#33452
C83×#33372
C83×#33202
C83×#33172
C83×#33132
C83×#33082
C83×#33012
C83×#33002
C83×#32852
C83×#32712
C83×#32702
C83×#31832
C83×#31812
C83×#31802
C83×#31172
C83×#31162
C83×#31122
C83×#31112
C83×#29702
C4×#137×C832
C83×#29432
C2×#441×C832
#6145883