Finite Group Databasebeta

← C83×#61790 #35289614

Subgroups — C83×#61790 #35289614

Order 21248.

1706 conjugacy classes of subgroups.

The subgroup lattice has 1700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C83×#3551C211yesmaximal, characteristic, complemented
2C83×#3512C211yesmaximal, characteristic, complemented
3C83×#3355C211yesmaximal, characteristic, complemented
4C83×#3352C211yesmaximal, characteristic, complemented
5C83×#3351C211yesmaximal, characteristic, complemented
6C83×#3351C211yesmaximal, characteristic, complemented
7C83×#3339C211yesmaximal, characteristic, complemented
8C83×#3337C211yesmaximal, characteristic, complemented
9C83×#3337C211yesmaximal, characteristic, complemented
10C83×#3336C211yesmaximal, characteristic, complemented
11C83×#3327C211yesmaximal, characteristic, complemented
12C83×#3326C211yesmaximal, characteristic, complemented
13C83×#3323C211yesmaximal, characteristic, complemented
14C83×#3322C211yesmaximal, characteristic, complemented
15C83×#3301C211yesmaximal, characteristic, complemented
16C83×#3300C211yesmaximal, characteristic, complemented
17C83×#3297C211yesmaximal, characteristic, complemented
18C83×#3296C211yesmaximal, characteristic, complemented
19C83×#3232C211yesmaximal, characteristic, complemented
20C83×#3232C211yesmaximal, characteristic, complemented
21C83×#3204C211yesmaximal, characteristic, complemented
22C83×#3203C211yesmaximal, characteristic, complemented
23C83×#3201C211yesmaximal, characteristic, complemented
24C83×#3198C211yesmaximal, characteristic, complemented
25C83×#3102C211yesmaximal, characteristic, complemented
26C83×#3102C211yesmaximal, characteristic, complemented
27C83×#3099C211yesmaximal, characteristic, complemented
28C83×#3098C211yesmaximal, characteristic, complemented
29C83×#3097C211yesmaximal, characteristic, complemented
30C83×#3096C211yesmaximal, characteristic, complemented
31C83×#2979C211yesmaximal, characteristic, complemented
32#563×C83—21no—
33#560×C83—21no—
34#555×C83—21no—
35#553×C83—21no—
36#553×C83—21no—
37#553×C83—21no—
38#553×C83—21no—
39#553×C83C2211yescharacteristic
40#553×C83C2211yescharacteristic
41#553×C83C2211yescharacteristic
42#553×C83C2211yescharacteristic
43#553×C83C2211yescharacteristic, complemented
44#553×C83C2211yescharacteristic, complemented
45#552×C83C2211yescharacteristic
46#552×C83C2211yescharacteristic
47#552×C83C2211yescharacteristic
48#552×C83C2211yescharacteristic
49#552×C83C2211yescharacteristic, complemented
50#552×C83C2211yescharacteristic, complemented
51#551×C83—21no—
52#548×C83C2211yescharacteristic
53#548×C83C2211yescharacteristic
54#546×C83C2211yescharacteristic
55#546×C83C2211yescharacteristic
56#541×C83—21no—
57#540×C83—21no—
58#540×C83—21no—
59#540×C83—21no—
60#538×C83—21no—
61#538×C83—21no—
62#537×C83C2211yescharacteristic
63#537×C83C2211yescharacteristic
64#537×C83C2211yescharacteristic
65#537×C83C2211yescharacteristic, complemented
66#536×C83C2211yescharacteristic
67#535×C83C2211yescharacteristic
68#532×C83C2211yescharacteristic
69#529×C83—21no—
70#529×C83—21no—
71#529×C83C2211yescharacteristic
72#529×C83C2211yescharacteristic
73C2×#125×C83C2211yescharacteristic, complemented
74#520×C83C2211yescharacteristic
75#520×C83C2211yescharacteristic, complemented
76C4×#41×C83C2211yescharacteristic, complemented
77#499×C83C2211yescharacteristic, complemented
78#499×C83C2211yescharacteristic, complemented
79#499×C83C2211yescharacteristic, complemented
80#499×C83C2211yescharacteristic, complemented
81#488×C83C2211yescharacteristic
82#488×C83C2211yescharacteristic
83#488×C83C2211yescharacteristic
84#488×C83C2211yescharacteristic
85#485×C83C2211yescharacteristic
86#485×C83C2211yescharacteristic
87#485×C83C2211yescharacteristic
88#485×C83C2211yescharacteristic, complemented
89#485×C83C2211yescharacteristic, complemented
90#485×C83C2211yescharacteristic, complemented
91#485×C83C2211yescharacteristic, complemented
92#485×C83C2211yescharacteristic, complemented
93#484×C83C2211yescharacteristic
94#484×C83C2211yescharacteristic, complemented
95#484×C83C2211yescharacteristic, complemented
96#484×C83C2211yescharacteristic, complemented
97#484×C83C2211yescharacteristic, complemented
98#483×C83C2211yescharacteristic
99#483×C83C2211yescharacteristic, complemented
100#483×C83C2211yescharacteristic, complemented
101#483×C83C2211yescharacteristic, complemented
102#483×C83C2211yescharacteristic, complemented
103#482×C83C2211yescharacteristic
104#482×C83C2211yescharacteristic
105#482×C83C2211yescharacteristic
106#482×C83C2211yescharacteristic
107#482×C83C2211yescharacteristic
108#482×C83C2211yescharacteristic
109#482×C83C2211yescharacteristic
110#482×C83C2211yescharacteristic, complemented
111#481×C83C2211yescharacteristic
112#481×C83C2211yescharacteristic
113#481×C83C2211yescharacteristic
114#481×C83C2211yescharacteristic
115#481×C83C2211yescharacteristic, complemented
116#480×C83C2211yescharacteristic
117#480×C83C2211yescharacteristic
118#480×C83C2211yescharacteristic
119#480×C83C2211yescharacteristic
120#480×C83C2211yescharacteristic, complemented
121#479×C83C2211yescharacteristic, complemented
122#479×C83C2211yescharacteristic, complemented
123#479×C83C2211yescharacteristic, complemented
124#479×C83C2211yescharacteristic, complemented
125#479×C83C2211yescharacteristic, complemented
126#479×C83C2211yescharacteristic, complemented
127#478×C83C2211yescharacteristic
128#478×C83C2211yescharacteristic
129#478×C83C2211yescharacteristic
130#478×C83C2211yescharacteristic
131#478×C83C2211yescharacteristic, complemented
132#478×C83C2211yescharacteristic, complemented
133#470×C83C2211yescharacteristic
134#470×C83C2211yescharacteristic, complemented
135#469×C83C2211yescharacteristic
136#469×C83C2211yescharacteristic
137#468×C83C2211yescharacteristic
138#468×C83C2211yescharacteristic
139#468×C83C2211yescharacteristic
140#468×C83C2211yescharacteristic, complemented
141#467×C83C2211yescharacteristic
142#467×C83C2211yescharacteristic, complemented
143#466×C83C2211yescharacteristic
144#466×C83C2211yescharacteristic
145#465×C83C2211yescharacteristic
146#465×C83C2211yescharacteristic
147#465×C83C2211yescharacteristic
148#465×C83C2211yescharacteristic, complemented
149#464×C83C2211yescharacteristic
150#464×C83C2211yescharacteristic
151#463×C83C2211yescharacteristic
152#463×C83C2211yescharacteristic
153#452×C83C2211yescharacteristic
154#452×C83C2211yescharacteristic
155#452×C83C2211yescharacteristic, complemented
156#452×C83C2211yescharacteristic, complemented
157#451×C83C2211yescharacteristic, complemented
158#450×C83C2211yescharacteristic
159#449×C83C2211yescharacteristic
160#449×C83C2211yescharacteristic
161#449×C83C2211yescharacteristic
162#449×C83C2211yescharacteristic
163#448×C83C2211yescharacteristic, complemented
164#447×C83C2211yescharacteristic
165C4×Q16×C83C2211yescharacteristic, complemented
166C4×Q16×C83C2211yescharacteristic, complemented
167C4×SD16×C83C2211yescharacteristic
168C4×SD16×C83C2211yescharacteristic
169C4×SD16×C83C2211yescharacteristic, complemented
170C4×SD16×C83C2211yescharacteristic, complemented
171C4×D8×C83C2211yescharacteristic
172C4×D8×C83C2211yescharacteristic
173#436×C83C2211yescharacteristic
174#436×C83C2211yescharacteristic
175#436×C83C2211yescharacteristic, complemented
176#436×C83C2211yescharacteristic, complemented
177C8×D4×C83C2211yescharacteristic
178C8×D4×C83C2211yescharacteristic
179C8×D4×C83C2211yescharacteristic, complemented
180C8×D4×C83C2211yescharacteristic, complemented
181#431×C83C2211yescharacteristic, complemented
182#431×C83C2211yescharacteristic, complemented
183#428×C83C2211yescharacteristic
184#428×C83C2211yescharacteristic, complemented
185#428×C83C2211yescharacteristic, complemented
186#428×C83C2211yescharacteristic, complemented
187#427×C83C2211yescharacteristic
188#427×C83C2211yescharacteristic, complemented
189C2×#107×C83C2211yescharacteristic, complemented
190C2×#106×C83C2211yescharacteristic, complemented
191#419×C83C2211yescharacteristic, complemented
192#418×C83C2211yescharacteristic
193#417×C83C2211yescharacteristic
194#417×C83C2211yescharacteristic
195#416×C83C2211yescharacteristic
196#416×C83C2211yescharacteristic
197C2×#103×C83C2211yescharacteristic, complemented
198C2×#102×C83C2211yescharacteristic
199#408×C83C2211yescharacteristic
200#408×C83C2211yescharacteristic
201#408×C83C2211yescharacteristic, complemented
202#408×C83C2211yescharacteristic, complemented
203C2×#41×C83C2311yescharacteristic
204C2×#41×C83C2311yescharacteristic
205C2×#41×C83C2311yescharacteristic
206C2×#41×C83C2311yescharacteristic
207C2×#41×C83C2311yescharacteristic
208C22×Q8×C83C2311yescharacteristic
209C22×D4×C83C2311yescharacteristic
210C2×Q16×C83C2311yescharacteristic
211C2×Q16×C83C2311yescharacteristic
212C2×SD16×C83C2311yescharacteristic
213C2×SD16×C83C2311yescharacteristic
214C2×SD16×C83C2311yescharacteristic
215C2×SD16×C83C2311yescharacteristic
216C2×D8×C83C2311yescharacteristic
217C2×D8×C83C2311yescharacteristic
218C2×M16×C83C2311yescharacteristic
219C2×M16×C83C2311yescharacteristic
220C2×M16×C83C2311yescharacteristic
221C2×M16×C83C2311yescharacteristic
222C22×C8×C83C2311yescharacteristic
223C22×C8×C83C2311yescharacteristic
224C22×C8×C83C2311yescharacteristic
225C22×C8×C83C2311yescharacteristic
226C4⋊Q8×C83—21no—
227C4⋊Q8×C83D411yescharacteristic
228#127×C83—21no—
229#127×C83D411yescharacteristic
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#126×C83—21no—
242#126×C83—21no—
243#126×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×C83C2311yescharacteristic
253#125×C83C2311yescharacteristic
254#125×C83C2311yescharacteristic
255#125×C83C2311yescharacteristic
256#125×C83C2311yescharacteristic
257#125×C83C2311yescharacteristic
258#124×C83—21no—
259#124×C83—21no—
260#124×C83—21no—
261#124×C83—21no—
262#124×C83D411yescharacteristic
263#124×C83D411yescharacteristic
264#124×C83C2311yescharacteristic
265#124×C83C2311yescharacteristic
266#123×C83—21no—
267#123×C83—21no—
268#123×C83—21no—
269#123×C83—21no—
270#123×C83—21no—
271#123×C83—21no—
272#123×C83—21no—
273#123×C83—21no—
274#123×C83—21no—
275#123×C83—21no—
276#123×C83—21no—
277#123×C83—21no—
278#123×C83—21no—
279#123×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×C83C2311yescharacteristic
291C22⋊Q8×C83C2311yescharacteristic
292C22⋊Q8×C83C2311yescharacteristic
293C22⋊Q8×C83C2311yescharacteristic
294C22⋊Q8×C83C2311yescharacteristic
295C22⋊Q8×C83C2311yescharacteristic
296C22⋊Q8×C83C2311yescharacteristic
297C22⋊Q8×C83C2311yescharacteristic
298C22⋊Q8×C83C2311yescharacteristic
299C22⋊Q8×C83C2311yescharacteristic
300#121×C83—21no—
301#121×C83—21no—
302#121×C83—21no—
303#121×C83—21no—
304#121×C83—21no—
305#121×C83—21no—
306#121×C83—21no—
307#121×C83—21no—
308#121×C83—21no—
309#121×C83—21no—
310#121×C83—21no—
311#121×C83—21no—
312#121×C83—21no—
313#121×C83—21no—
314#121×C83—21no—
315#121×C83—21no—
316#121×C83—21no—
317#121×C83—21no—
318#121×C83—21no—
319#121×C83—21no—
320#121×C83—21no—
321#121×C83—21no—
322#121×C83D411yescharacteristic
323#121×C83D411yescharacteristic
324#121×C83D411yescharacteristic
325#121×C83D411yescharacteristic
326#121×C83C2311yescharacteristic
327#121×C83C2311yescharacteristic
328#121×C83C2311yescharacteristic
329#121×C83C2311yescharacteristic
330#121×C83C2311yescharacteristic
331#121×C83C2311yescharacteristic
332#121×C83C2311yescharacteristic
333#121×C83C2311yescharacteristic
334#121×C83C2311yescharacteristic
335#121×C83C2311yescharacteristic
336#120×C83—21no—
337#120×C83—21no—
338#120×C83—21no—
339#120×C83—21no—
340C4×Q8×C83—21no—
341C4×Q8×C83—21no—
342C4×Q8×C83C2311yescharacteristic
343C4×Q8×C83C2311yescharacteristic
344C4×Q8×C83C2311yescharacteristic
345C4×Q8×C83C2311yescharacteristic
346C4×D4×C83—21no—
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×C83C2311yescharacteristic
365C4×D4×C83C2311yescharacteristic
366C4×D4×C83C2311yescharacteristic
367C4×D4×C83C2311yescharacteristic
368C4×D4×C83C2311yescharacteristic
369C4×D4×C83C2311yescharacteristic
370C4×D4×C83C2311yescharacteristic
371C4×D4×C83C2311yescharacteristic
372#117×C83—21no—
373#117×C83—21no—
374#117×C83—21no—
375#117×C83—21no—
376#117×C83—21no—
377#117×C83—21no—
378#117×C83—21no—
379#117×C83—21no—
380#117×C83—21no—
381#117×C83C2311yescharacteristic
382#117×C83C2311yescharacteristic
383#117×C83C2311yescharacteristic
384#117×C83C2311yescharacteristic
385#117×C83C2311yescharacteristic
386#117×C83C2311yescharacteristic
387#117×C83C2311yescharacteristic
388C2×C4⋊C4×C83—21no—
389C2×C4⋊C4×C83—21no—
390C2×C4⋊C4×C83C2311yescharacteristic
391C2×C4⋊C4×C83C2311yescharacteristic
392C2×C4⋊C4×C83C2311yescharacteristic
393C2×C4⋊C4×C83C2311yescharacteristic
394C2×C4⋊C4×C83C2311yescharacteristic
395C2×C4⋊C4×C83C2311yescharacteristic
396C2×C4⋊C4×C83C2311yescharacteristic
397C2×C4⋊C4×C83C2311yescharacteristic
398C2×C22⋊C4×C83—21no—
399C2×C22⋊C4×C83—21no—
400C2×C42×C83—21no—
401C2×C42×C83C2311yescharacteristic
402#107×C83C2311yescharacteristic
403#107×C83C2311yescharacteristic
404#107×C83C2311yescharacteristic
405#107×C83C2311yescharacteristic
406#107×C83C2311yescharacteristic
407#107×C83C2311yescharacteristic
408#107×C83C2311yescharacteristic
409#107×C83C2311yescharacteristic
410#107×C83C2311yescharacteristic
411#107×C83C2311yescharacteristic
412#107×C83C2311yescharacteristic
413#107×C83C2311yescharacteristic
414#106×C83C2311yescharacteristic
415#106×C83C2311yescharacteristic
416#106×C83C2311yescharacteristic
417#106×C83C2311yescharacteristic
418#106×C83C2311yescharacteristic
419#106×C83C2311yescharacteristic
420#106×C83C2311yescharacteristic
421#106×C83C2311yescharacteristic
422#106×C83C2311yescharacteristic
423#106×C83C2311yescharacteristic
424#106×C83C2311yescharacteristic
425#106×C83C2311yescharacteristic
426C4⋊C8×C83C2311yescharacteristic
427C4⋊C8×C83C2311yescharacteristic
428C4⋊C8×C83C2311yescharacteristic
429C4⋊C8×C83C2311yescharacteristic
430#103×C83C2311yescharacteristic
431#103×C83C2311yescharacteristic
432#103×C83C2311yescharacteristic
433#103×C83C2311yescharacteristic
434#103×C83C2311yescharacteristic
435#103×C83C2311yescharacteristic
436#103×C83C2311yescharacteristic
437#103×C83C2311yescharacteristic
438#103×C83C2311yescharacteristic
439#103×C83C2311yescharacteristic
440#103×C83C2311yescharacteristic
441#103×C83C2311yescharacteristic
442#103×C83C2311yescharacteristic
443#103×C83C2311yescharacteristic
444#103×C83C2311yescharacteristic
445#103×C83C2311yescharacteristic
446#102×C83C2311yescharacteristic
447#102×C83C2311yescharacteristic
448#102×C83C2311yescharacteristic
449#102×C83C2311yescharacteristic
450#102×C83C2311yescharacteristic
451#102×C83C2311yescharacteristic
452#102×C83C2311yescharacteristic
453#102×C83C2311yescharacteristic
454#102×C83C2311yescharacteristic
455#102×C83C2311yescharacteristic
456#102×C83C2311yescharacteristic
457#102×C83C2311yescharacteristic
458#102×C83C2311yescharacteristic
459#102×C83C2311yescharacteristic
460#102×C83C2311yescharacteristic
461#102×C83C2311yescharacteristic
462C22⋊C8×C83C2311yescharacteristic
463C22⋊C8×C83C2311yescharacteristic
464C22⋊C8×C83C2311yescharacteristic
465C22⋊C8×C83C2311yescharacteristic
466C22⋊C8×C83C2311yescharacteristic
467C22⋊C8×C83C2311yescharacteristic
468C22⋊C8×C83C2311yescharacteristic
469C22⋊C8×C83C2311yescharacteristic
470C22⋊C8×C83C2311yescharacteristic
471C22⋊C8×C83C2311yescharacteristic
472C22⋊C8×C83C2311yescharacteristic
473C22⋊C8×C83C2311yescharacteristic
474C4×C8×C83C2311yescharacteristic
475C4×C8×C83C2311yescharacteristic
476C4×C8×C83C2311yescharacteristic
477C4×C8×C83C2311yescharacteristic
478C24×C83—21no—
479#41×C83—41no—
480#41×C83—41no—
481#41×C83—41no—
482#41×C83—41no—
483#41×C83—41no—
484#41×C83—41no—
485#41×C83—41no—
486#41×C83—41no—
487#41×C83—41no—
488#41×C83—41no—
489C2×Q8×C83—21no—
490C2×Q8×C83—41no—
491C2×Q8×C83—41no—
492C2×Q8×C83C2×D411yescharacteristic
493C2×Q8×C83C2×D411yescharacteristic
494C2×Q8×C83C2411yescharacteristic
495C2×Q8×C83C2411yescharacteristic
496C2×Q8×C83C2411yescharacteristic
497C2×D4×C83—21no—
498C2×D4×C83—21no—
499C2×D4×C83—21no—
500C2×D4×C83—21no—
501C2×D4×C83—21no—
502C2×D4×C83—21no—
503C2×D4×C83—21no—
504C2×D4×C83—21no—
505C2×D4×C83—21no—
506C2×D4×C83—21no—
507C2×D4×C83—21no—
508C2×D4×C83—21no—
509C2×D4×C83—21no—
510C2×D4×C83—21no—
511C2×D4×C83—41no—
512C2×D4×C83—41no—
513C2×D4×C83C2×D411yescharacteristic
514C2×D4×C83C2×D411yescharacteristic
515C2×D4×C83C2×D411yescharacteristic
516C2×D4×C83C2×D411yescharacteristic
517C2×D4×C83C2×D411yescharacteristic
518C2×D4×C83C2×D411yescharacteristic
519C2×D4×C83C2×D411yescharacteristic
520C2×D4×C83C2×D411yescharacteristic
521C2×D4×C83C2×D411yescharacteristic
522C2×D4×C83C2×D411yescharacteristic
523C2×D4×C83C2411yescharacteristic
524C2×D4×C83C2411yescharacteristic
525C2×D4×C83C2411yescharacteristic
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×C83—21no—
540C22×C4×C83—21no—
541C22×C4×C83—21no—
542C22×C4×C83C2×D411yescharacteristic
543C22×C4×C83C2×D411yescharacteristic
544C22×C4×C83C2411yescharacteristic
545C22×C4×C83C2411yescharacteristic
546C22×C4×C83C2411yescharacteristic
547C22×C4×C83C2411yescharacteristic
548C22×C4×C83C2411yescharacteristic
549Q16×C83—41no—
550Q16×C83—41no—
551SD16×C83—41no—
552SD16×C83—41no—
553SD16×C83—41no—
554SD16×C83—41no—
555D8×C83—41no—
556D8×C83—41no—
557M16×C83—41no—
558M16×C83—41no—
559M16×C83—41no—
560M16×C83—41no—
561C2×C8×C83—41no—
562C2×C8×C83—41no—
563C2×C8×C83—41no—
564C2×C8×C83—41no—
565C2×C8×C83C2411yescharacteristic
566C2×C8×C83C2411yescharacteristic
567C2×C8×C83C2411yescharacteristic
568C2×C8×C83C2411yescharacteristic
569C2×C8×C83C2411yescharacteristic
570C2×C8×C83C2411yescharacteristic
571C2×C8×C83C2411yescharacteristic
572C2×C8×C83C2411yescharacteristic
573C4⋊C4×C83—21no—
574C4⋊C4×C83—21no—
575C4⋊C4×C83—21no—
576C4⋊C4×C83—21no—
577C4⋊C4×C83—21no—
578C4⋊C4×C83—21no—
579C4⋊C4×C83—21no—
580C4⋊C4×C83—21no—
581C4⋊C4×C83—21no—
582C4⋊C4×C83—21no—
583C4⋊C4×C83—21no—
584C4⋊C4×C83—21no—
585C4⋊C4×C83—21no—
586C4⋊C4×C83—21no—
587C4⋊C4×C83—21no—
588C4⋊C4×C83—21no—
589C4⋊C4×C83—21no—
590C4⋊C4×C83—21no—
591C4⋊C4×C83—21no—
592C4⋊C4×C83—21no—
593C4⋊C4×C83—21no—
594C4⋊C4×C83—21no—
595C4⋊C4×C83—21no—
596C4⋊C4×C83—21no—
597C4⋊C4×C83—21no—
598C4⋊C4×C83—21no—
599C4⋊C4×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×C83C2×D411yescharacteristic
608C4⋊C4×C83C2×D411yescharacteristic
609C4⋊C4×C83C2×D411yescharacteristic
610C4⋊C4×C83C2×D411yescharacteristic
611C4⋊C4×C83C2411yescharacteristic
612C4⋊C4×C83C2411yescharacteristic
613C4⋊C4×C83C2411yescharacteristic
614C4⋊C4×C83C2411yescharacteristic
615C4⋊C4×C83C2411yescharacteristic
616C4⋊C4×C83C2411yescharacteristic
617C4⋊C4×C83C2411yescharacteristic
618C4⋊C4×C83C2411yescharacteristic
619C4⋊C4×C83C2411yescharacteristic
620C4⋊C4×C83C2411yescharacteristic
621C22⋊C4×C83—21no—
622C22⋊C4×C83—21no—
623C22⋊C4×C83—21no—
624C22⋊C4×C83—21no—
625C22⋊C4×C83—21no—
626C22⋊C4×C83—21no—
627C22⋊C4×C83—21no—
628C22⋊C4×C83—21no—
629C22⋊C4×C83—21no—
630C22⋊C4×C83—21no—
631C22⋊C4×C83—21no—
632C22⋊C4×C83—21no—
633C22⋊C4×C83—21no—
634C22⋊C4×C83—21no—
635C22⋊C4×C83—21no—
636C22⋊C4×C83—21no—
637C22⋊C4×C83—21no—
638C22⋊C4×C83—21no—
639C22⋊C4×C83—21no—
640C22⋊C4×C83—21no—
641C22⋊C4×C83—21no—
642C22⋊C4×C83—21no—
643C22⋊C4×C83—21no—
644C22⋊C4×C83—21no—
645C22⋊C4×C83—21no—
646C22⋊C4×C83—21no—
647C22⋊C4×C83—21no—
648C22⋊C4×C83—21no—
649C22⋊C4×C83—21no—
650C22⋊C4×C83—21no—
651C22⋊C4×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
662C22⋊C4×C83C2×D411yescharacteristic
663C22⋊C4×C83C2×D411yescharacteristic
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×C83C2×D411yescharacteristic
676C42×C83C2×D411yescharacteristic
677C42×C83C2411yescharacteristic
678C42×C83C2411yescharacteristic
679C23×C83—21no—
680C23×C83—21no—
681C23×C83—21no—
682C23×C83—81no—
683C23×C83—81no—
684C23×C83—81no—
685C23×C83C22×D411yescharacteristic
686C23×C83C22×D411yescharacteristic
687C23×C83C22×D411yescharacteristic
688C23×C83C22×D411yescharacteristic
689C23×C83C22×D411yescharacteristic
690Q8×C83—21no—
691Q8×C83—21no—
692Q8×C83—21no—
693Q8×C83—21no—
694Q8×C83—21no—
695Q8×C83—21no—
696Q8×C83—41no—
697Q8×C83—41no—
698Q8×C83—81no—
699D4×C83—21no—
700D4×C83—21no—
701D4×C83—21no—
702D4×C83—21no—
703D4×C83—21no—
704D4×C83—21no—
705D4×C83—41no—
706D4×C83—41no—
707D4×C83—41no—
708D4×C83—41no—
709D4×C83—41no—
710D4×C83—41no—
711D4×C83—41no—
712D4×C83—41no—
713D4×C83—41no—
714D4×C83—41no—
715D4×C83—42no—
716D4×C83—81no—
717D4×C83—81no—
718D4×C83—81no—
719D4×C83—81no—
720D4×C83—81no—
721D4×C83—81no—
722D4×C83—81no—
723D4×C83—81no—
724D4×C83—81no—
725D4×C83—81no—
726D4×C83—81no—
727D4×C83—81no—
728D4×C83—81no—
729C2×C4×C83—21no—
730C2×C4×C83—21no—
731C2×C4×C83—21no—
732C2×C4×C83—21no—
733C2×C4×C83—21no—
734C2×C4×C83—21no—
735C2×C4×C83—21no—
736C2×C4×C83—21no—
737C2×C4×C83—21no—
738C2×C4×C83—21no—
739C2×C4×C83—21no—
740C2×C4×C83—21no—
741C2×C4×C83—21no—
742C2×C4×C83—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—21no—
752C2×C4×C83—41no—
753C2×C4×C83—41no—
754C2×C4×C83—42no—
755C2×C4×C83—81no—
756C2×C4×C83—81no—
757C2×C4×C83—81no—
758C2×C4×C83—81no—
759C2×C4×C83—81no—
760C2×C4×C83—81no—
761C2×C4×C83—81no—
762C2×C4×C83—81no—
763C2×C4×C83—81no—
764C2×C4×C83—81no—
765C2×C4×C83—81no—
766C2×C4×C83—81no—
767C2×C4×C83—81no—
768C2×C4×C83—81no—
769C2×C4×C83—81no—
770C2×C4×C83C22×D411yescharacteristic
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×C83C2511yescharacteristic
780C8×C83—21no—
781C8×C83—21no—
782C8×C83—21no—
783C8×C83—21no—
784C8×C83—21no—
785C8×C83—21no—
786C8×C83—21no—
787C8×C83—21no—
788C22×C83—21no—
789C22×C83—21no—
790C22×C83—21no—
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—21no—
800C22×C83—21no—
801C22×C83—21no—
802C22×C83—21no—
803C22×C83—41no—
804C22×C83—41no—
805C22×C83—41no—
806C22×C83—41no—
807C22×C83—41no—
808C22×C83—41no—
809C22×C83—41no—
810C22×C83—41no—
811C22×C83—41no—
812C22×C83—162no—
813C22×C83C23×D411yescharacteristic
814C4×C83—21no—
815C4×C83—21no—
816C4×C83—21no—
817C4×C83—21no—
818C4×C83—21no—
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×C83—41no—
835C4×C83—41no—
836C4×C83#58511yescharacteristic
837C4×C83#58511yescharacteristic
838#61790C8311yesmaximal, characteristic, direct product factor, Sylow
839C2×C83—41no—
840C2×C83—41no—
841C2×C83—41no—
842C2×C83—41no—
843C2×C83—41no—
844C2×C83—81no—
845C2×C83—81no—
846C2×C83—81no—
847C2×C83#348511yescharacteristic
848C2×C83#358411yescharacteristic
849C2×C83#358411yescharacteristic
850#3551C2×C8311yescharacteristic, complemented
851#3512C2×C8311yescharacteristic, complemented
852#3355C2×C8311yescharacteristic, complemented
853#3352C2×C8311yescharacteristic, complemented
854#3351C2×C8311yescharacteristic, complemented
855#3351C2×C8311yescharacteristic, complemented
856#3339C2×C8311yescharacteristic, complemented
857#3337C2×C8311yescharacteristic, complemented
858#3337C2×C8311yescharacteristic, complemented
859#3336C2×C8311yescharacteristic, complemented
860#3327C2×C8311yescharacteristic, complemented
861#3326C2×C8311yescharacteristic, complemented
862#3323C2×C8311yescharacteristic, complemented
863#3322C2×C8311yescharacteristic, complemented
864#3301C2×C8311yescharacteristic, complemented
865#3300C2×C8311yescharacteristic, complemented
866#3297C2×C8311yescharacteristic, complemented
867#3296C2×C8311yescharacteristic, complemented
868#3232C2×C8311yescharacteristic, complemented
869#3232C2×C8311yescharacteristic, complemented
870#3204C2×C8311yescharacteristic, complemented
871#3203C2×C8311yescharacteristic, complemented
872#3201C2×C8311yescharacteristic, complemented
873#3198C2×C8311yescharacteristic, complemented
874#3102C2×C8311yescharacteristic, complemented
875#3102C2×C8311yescharacteristic, complemented
876#3099C2×C8311yescharacteristic, complemented
877#3098C2×C8311yescharacteristic, complemented
878#3097C2×C8311yescharacteristic, complemented
879#3096C2×C8311yescharacteristic, complemented
880#2979C2×C8311yescharacteristic, complemented
881C83#6179011yescharacteristic, direct product factor, Sylow
882#563—21no—
883#560—21no—
884#555—21no—
885#553—21no—
886#553—21no—
887#553—21no—
888#553—21no—
889#553C22×C8311yescharacteristic
890#553C22×C8311yescharacteristic
891#553C22×C8311yescharacteristic
892#553C22×C8311yescharacteristic
893#553C22×C8311yescharacteristic, complemented
894#553C22×C8311yescharacteristic, complemented
895#552C22×C8311yescharacteristic
896#552C22×C8311yescharacteristic
897#552C22×C8311yescharacteristic
898#552C22×C8311yescharacteristic
899#552C22×C8311yescharacteristic, complemented
900#552C22×C8311yescharacteristic, complemented
901#551—21no—
902#548C22×C8311yescharacteristic
903#548C22×C8311yescharacteristic
904#546C22×C8311yescharacteristic
905#546C22×C8311yescharacteristic
906#541—21no—
907#540—21no—
908#540—21no—
909#540—21no—
910#538—21no—
911#538—21no—
912#537C22×C8311yescharacteristic
913#537C22×C8311yescharacteristic
914#537C22×C8311yescharacteristic
915#537C22×C8311yescharacteristic, complemented
916#536C22×C8311yescharacteristic
917#535C22×C8311yescharacteristic
918#532C22×C8311yescharacteristic
919#529—21no—
920#529—21no—
921#529C22×C8311yescharacteristic
922#529C22×C8311yescharacteristic
923C2×#125C22×C8311yescharacteristic, complemented
924#520C22×C8311yescharacteristic
925#520C22×C8311yescharacteristic, complemented
926C4×#41C22×C8311yescharacteristic, complemented
927#499C22×C8311yescharacteristic, complemented
928#499C22×C8311yescharacteristic, complemented
929#499C22×C8311yescharacteristic, complemented
930#499C22×C8311yescharacteristic, complemented
931#488C22×C8311yescharacteristic
932#488C22×C8311yescharacteristic
933#488C22×C8311yescharacteristic
934#488C22×C8311yescharacteristic
935#485C22×C8311yescharacteristic
936#485C22×C8311yescharacteristic
937#485C22×C8311yescharacteristic
938#485C22×C8311yescharacteristic, complemented
939#485C22×C8311yescharacteristic, complemented
940#485C22×C8311yescharacteristic, complemented
941#485C22×C8311yescharacteristic, complemented
942#485C22×C8311yescharacteristic, complemented
943#484C22×C8311yescharacteristic
944#484C22×C8311yescharacteristic, complemented
945#484C22×C8311yescharacteristic, complemented
946#484C22×C8311yescharacteristic, complemented
947#484C22×C8311yescharacteristic, complemented
948#483C22×C8311yescharacteristic
949#483C22×C8311yescharacteristic, complemented
950#483C22×C8311yescharacteristic, complemented
951#483C22×C8311yescharacteristic, complemented
952#483C22×C8311yescharacteristic, complemented
953#482C22×C8311yescharacteristic
954#482C22×C8311yescharacteristic
955#482C22×C8311yescharacteristic
956#482C22×C8311yescharacteristic
957#482C22×C8311yescharacteristic
958#482C22×C8311yescharacteristic
959#482C22×C8311yescharacteristic
960#482C22×C8311yescharacteristic, complemented
961#481C22×C8311yescharacteristic
962#481C22×C8311yescharacteristic
963#481C22×C8311yescharacteristic
964#481C22×C8311yescharacteristic
965#481C22×C8311yescharacteristic, complemented
966#480C22×C8311yescharacteristic
967#480C22×C8311yescharacteristic
968#480C22×C8311yescharacteristic
969#480C22×C8311yescharacteristic
970#480C22×C8311yescharacteristic, complemented
971#479C22×C8311yescharacteristic, complemented
972#479C22×C8311yescharacteristic, complemented
973#479C22×C8311yescharacteristic, complemented
974#479C22×C8311yescharacteristic, complemented
975#479C22×C8311yescharacteristic, complemented
976#479C22×C8311yescharacteristic, complemented
977#478C22×C8311yescharacteristic
978#478C22×C8311yescharacteristic
979#478C22×C8311yescharacteristic
980#478C22×C8311yescharacteristic
981#478C22×C8311yescharacteristic, complemented
982#478C22×C8311yescharacteristic, complemented
983#470C22×C8311yescharacteristic
984#470C22×C8311yescharacteristic, complemented
985#469C22×C8311yescharacteristic
986#469C22×C8311yescharacteristic
987#468C22×C8311yescharacteristic
988#468C22×C8311yescharacteristic
989#468C22×C8311yescharacteristic
990#468C22×C8311yescharacteristic, complemented
991#467C22×C8311yescharacteristic
992#467C22×C8311yescharacteristic, complemented
993#466C22×C8311yescharacteristic
994#466C22×C8311yescharacteristic
995#465C22×C8311yescharacteristic
996#465C22×C8311yescharacteristic
997#465C22×C8311yescharacteristic
998#465C22×C8311yescharacteristic, complemented
999#464C22×C8311yescharacteristic
1000#464C22×C8311yescharacteristic
1001#463C22×C8311yescharacteristic
1002#463C22×C8311yescharacteristic
1003#452C22×C8311yescharacteristic
1004#452C22×C8311yescharacteristic
1005#452C22×C8311yescharacteristic, complemented
1006#452C22×C8311yescharacteristic, complemented
1007#451C22×C8311yescharacteristic, complemented
1008#450C22×C8311yescharacteristic
1009#449C22×C8311yescharacteristic
1010#449C22×C8311yescharacteristic
1011#449C22×C8311yescharacteristic
1012#449C22×C8311yescharacteristic
1013#448C22×C8311yescharacteristic, complemented
1014#447C22×C8311yescharacteristic
1015C4×Q16C22×C8311yescharacteristic, complemented
1016C4×Q16C22×C8311yescharacteristic, complemented
1017C4×SD16C22×C8311yescharacteristic
1018C4×SD16C22×C8311yescharacteristic
1019C4×SD16C22×C8311yescharacteristic, complemented
1020C4×SD16C22×C8311yescharacteristic, complemented
1021C4×D8C22×C8311yescharacteristic
1022C4×D8C22×C8311yescharacteristic
1023#436C22×C8311yescharacteristic
1024#436C22×C8311yescharacteristic
1025#436C22×C8311yescharacteristic, complemented
1026#436C22×C8311yescharacteristic, complemented
1027C8×D4C22×C8311yescharacteristic
1028C8×D4C22×C8311yescharacteristic
1029C8×D4C22×C8311yescharacteristic, complemented
1030C8×D4C22×C8311yescharacteristic, complemented
1031#431C22×C8311yescharacteristic, complemented
1032#431C22×C8311yescharacteristic, complemented
1033#428C22×C8311yescharacteristic
1034#428C22×C8311yescharacteristic, complemented
1035#428C22×C8311yescharacteristic, complemented
1036#428C22×C8311yescharacteristic, complemented
1037#427C22×C8311yescharacteristic
1038#427C22×C8311yescharacteristic, complemented
1039C2×#107C22×C8311yescharacteristic, complemented
1040C2×#106C22×C8311yescharacteristic, complemented
1041#419C22×C8311yescharacteristic, complemented
1042#418C22×C8311yescharacteristic
1043#417C22×C8311yescharacteristic
1044#417C22×C8311yescharacteristic
1045#416C22×C8311yescharacteristic
1046#416C22×C8311yescharacteristic
1047C2×#103C22×C8311yescharacteristic, complemented
1048C2×#102C22×C8311yescharacteristic
1049#408C22×C8311yescharacteristic
1050#408C22×C8311yescharacteristic
1051#408C22×C8311yescharacteristic, complemented
1052#408C22×C8311yescharacteristic, complemented
1053C2×#41C23×C8311yescharacteristic
1054C2×#41C23×C8311yescharacteristic
1055C2×#41C23×C8311yescharacteristic
1056C2×#41C23×C8311yescharacteristic
1057C2×#41C23×C8311yescharacteristic
1058C22×Q8C23×C8311yescharacteristic
1059C22×D4C23×C8311yescharacteristic
1060C2×Q16C23×C8311yescharacteristic
1061C2×Q16C23×C8311yescharacteristic
1062C2×SD16C23×C8311yescharacteristic
1063C2×SD16C23×C8311yescharacteristic
1064C2×SD16C23×C8311yescharacteristic
1065C2×SD16C23×C8311yescharacteristic
1066C2×D8C23×C8311yescharacteristic
1067C2×D8C23×C8311yescharacteristic
1068C2×M16C23×C8311yescharacteristic
1069C2×M16C23×C8311yescharacteristic
1070C2×M16C23×C8311yescharacteristic
1071C2×M16C23×C8311yescharacteristic
1072C22×C8C23×C8311yescharacteristic
1073C22×C8C23×C8311yescharacteristic
1074C22×C8C23×C8311yescharacteristic
1075C22×C8C23×C8311yescharacteristic
1076C4⋊Q8—21no—
1077C4⋊Q8D4×C8311yescharacteristic
1078#127—21no—
1079#127D4×C8311yescharacteristic
1080#126—21no—
1081#126—21no—
1082#126—21no—
1083#126—21no—
1084#126—21no—
1085#126—21no—
1086#126—21no—
1087#126—21no—
1088#126—21no—
1089#126—21no—
1090#126—21no—
1091#126—21no—
1092#126—21no—
1093#126—21no—
1094#125—21no—
1095#125—21no—
1096#125—21no—
1097#125—21no—
1098#125—21no—
1099#125—21no—
1100#125—21no—
1101#125—21no—
1102#125C23×C8311yescharacteristic
1103#125C23×C8311yescharacteristic
1104#125C23×C8311yescharacteristic
1105#125C23×C8311yescharacteristic
1106#125C23×C8311yescharacteristic
1107#125C23×C8311yescharacteristic
1108#124—21no—
1109#124—21no—
1110#124—21no—
1111#124—21no—
1112#124D4×C8311yescharacteristic
1113#124D4×C8311yescharacteristic
1114#124C23×C8311yescharacteristic
1115#124C23×C8311yescharacteristic
1116#123—21no—
1117#123—21no—
1118#123—21no—
1119#123—21no—
1120#123—21no—
1121#123—21no—
1122#123—21no—
1123#123—21no—
1124#123—21no—
1125#123—21no—
1126#123—21no—
1127#123—21no—
1128#123—21no—
1129#123—21no—
1130#123—21no—
1131#123—21no—
1132#123—21no—
1133#123—21no—
1134C22⋊Q8—21no—
1135C22⋊Q8—21no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—21no—
1139C22⋊Q8—21no—
1140C22⋊Q8C23×C8311yescharacteristic
1141C22⋊Q8C23×C8311yescharacteristic
1142C22⋊Q8C23×C8311yescharacteristic
1143C22⋊Q8C23×C8311yescharacteristic
1144C22⋊Q8C23×C8311yescharacteristic
1145C22⋊Q8C23×C8311yescharacteristic
1146C22⋊Q8C23×C8311yescharacteristic
1147C22⋊Q8C23×C8311yescharacteristic
1148C22⋊Q8C23×C8311yescharacteristic
1149C22⋊Q8C23×C8311yescharacteristic
1150#121—21no—
1151#121—21no—
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#121—21no—
1162#121—21no—
1163#121—21no—
1164#121—21no—
1165#121—21no—
1166#121—21no—
1167#121—21no—
1168#121—21no—
1169#121—21no—
1170#121—21no—
1171#121—21no—
1172#121D4×C8311yescharacteristic
1173#121D4×C8311yescharacteristic
1174#121D4×C8311yescharacteristic
1175#121D4×C8311yescharacteristic
1176#121C23×C8311yescharacteristic
1177#121C23×C8311yescharacteristic
1178#121C23×C8311yescharacteristic
1179#121C23×C8311yescharacteristic
1180#121C23×C8311yescharacteristic
1181#121C23×C8311yescharacteristic
1182#121C23×C8311yescharacteristic
1183#121C23×C8311yescharacteristic
1184#121C23×C8311yescharacteristic
1185#121C23×C8311yescharacteristic
1186#120—21no—
1187#120—21no—
1188#120—21no—
1189#120—21no—
1190C4×Q8—21no—
1191C4×Q8—21no—
1192C4×Q8C23×C8311yescharacteristic
1193C4×Q8C23×C8311yescharacteristic
1194C4×Q8C23×C8311yescharacteristic
1195C4×Q8C23×C8311yescharacteristic
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×D4—21no—
1214C4×D4C23×C8311yescharacteristic
1215C4×D4C23×C8311yescharacteristic
1216C4×D4C23×C8311yescharacteristic
1217C4×D4C23×C8311yescharacteristic
1218C4×D4C23×C8311yescharacteristic
1219C4×D4C23×C8311yescharacteristic
1220C4×D4C23×C8311yescharacteristic
1221C4×D4C23×C8311yescharacteristic
1222#117—21no—
1223#117—21no—
1224#117—21no—
1225#117—21no—
1226#117—21no—
1227#117—21no—
1228#117—21no—
1229#117—21no—
1230#117—21no—
1231#117C23×C8311yescharacteristic
1232#117C23×C8311yescharacteristic
1233#117C23×C8311yescharacteristic
1234#117C23×C8311yescharacteristic
1235#117C23×C8311yescharacteristic
1236#117C23×C8311yescharacteristic
1237#117C23×C8311yescharacteristic
1238C2×C4⋊C4—21no—
1239C2×C4⋊C4—21no—
1240C2×C4⋊C4C23×C8311yescharacteristic
1241C2×C4⋊C4C23×C8311yescharacteristic
1242C2×C4⋊C4C23×C8311yescharacteristic
1243C2×C4⋊C4C23×C8311yescharacteristic
1244C2×C4⋊C4C23×C8311yescharacteristic
1245C2×C4⋊C4C23×C8311yescharacteristic
1246C2×C4⋊C4C23×C8311yescharacteristic
1247C2×C4⋊C4C23×C8311yescharacteristic
1248C2×C22⋊C4—21no—
1249C2×C22⋊C4—21no—
1250C2×C42—21no—
1251C2×C42C23×C8311yescharacteristic
1252#107C23×C8311yescharacteristic
1253#107C23×C8311yescharacteristic
1254#107C23×C8311yescharacteristic
1255#107C23×C8311yescharacteristic
1256#107C23×C8311yescharacteristic
1257#107C23×C8311yescharacteristic
1258#107C23×C8311yescharacteristic
1259#107C23×C8311yescharacteristic
1260#107C23×C8311yescharacteristic
1261#107C23×C8311yescharacteristic
1262#107C23×C8311yescharacteristic
1263#107C23×C8311yescharacteristic
1264#106C23×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
1273#106C23×C8311yescharacteristic
1274#106C23×C8311yescharacteristic
1275#106C23×C8311yescharacteristic
1276C4⋊C8C23×C8311yescharacteristic
1277C4⋊C8C23×C8311yescharacteristic
1278C4⋊C8C23×C8311yescharacteristic
1279C4⋊C8C23×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#102C23×C8311yescharacteristic
1297#102C23×C8311yescharacteristic
1298#102C23×C8311yescharacteristic
1299#102C23×C8311yescharacteristic
1300#102C23×C8311yescharacteristic
1301#102C23×C8311yescharacteristic
1302#102C23×C8311yescharacteristic
1303#102C23×C8311yescharacteristic
1304#102C23×C8311yescharacteristic
1305#102C23×C8311yescharacteristic
1306#102C23×C8311yescharacteristic
1307#102C23×C8311yescharacteristic
1308#102C23×C8311yescharacteristic
1309#102C23×C8311yescharacteristic
1310#102C23×C8311yescharacteristic
1311#102C23×C8311yescharacteristic
1312C22⋊C8C23×C8311yescharacteristic
1313C22⋊C8C23×C8311yescharacteristic
1314C22⋊C8C23×C8311yescharacteristic
1315C22⋊C8C23×C8311yescharacteristic
1316C22⋊C8C23×C8311yescharacteristic
1317C22⋊C8C23×C8311yescharacteristic
1318C22⋊C8C23×C8311yescharacteristic
1319C22⋊C8C23×C8311yescharacteristic
1320C22⋊C8C23×C8311yescharacteristic
1321C22⋊C8C23×C8311yescharacteristic
1322C22⋊C8C23×C8311yescharacteristic
1323C22⋊C8C23×C8311yescharacteristic
1324C4×C8C23×C8311yescharacteristic
1325C4×C8C23×C8311yescharacteristic
1326C4×C8C23×C8311yescharacteristic
1327C4×C8C23×C8311yescharacteristic
1328C24—21no—
1329#41—41no—
1330#41—41no—
1331#41—41no—
1332#41—41no—
1333#41—41no—
1334#41—41no—
1335#41—41no—
1336#41—41no—
1337#41—41no—
1338#41—41no—
1339C2×Q8—21no—
1340C2×Q8—41no—
1341C2×Q8—41no—
1342C2×Q8C2×D4×C8311yescharacteristic
1343C2×Q8C2×D4×C8311yescharacteristic
1344C2×Q8C24×C8311yescharacteristic
1345C2×Q8C24×C8311yescharacteristic
1346C2×Q8C24×C8311yescharacteristic
1347C2×D4—21no—
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—21no—
1351C2×D4—21no—
1352C2×D4—21no—
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—41no—
1362C2×D4—41no—
1363C2×D4C2×D4×C8311yescharacteristic
1364C2×D4C2×D4×C8311yescharacteristic
1365C2×D4C2×D4×C8311yescharacteristic
1366C2×D4C2×D4×C8311yescharacteristic
1367C2×D4C2×D4×C8311yescharacteristic
1368C2×D4C2×D4×C8311yescharacteristic
1369C2×D4C2×D4×C8311yescharacteristic
1370C2×D4C2×D4×C8311yescharacteristic
1371C2×D4C2×D4×C8311yescharacteristic
1372C2×D4C2×D4×C8311yescharacteristic
1373C2×D4C24×C8311yescharacteristic
1374C2×D4C24×C8311yescharacteristic
1375C2×D4C24×C8311yescharacteristic
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×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—21no—
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4C2×D4×C8311yescharacteristic
1393C22×C4C2×D4×C8311yescharacteristic
1394C22×C4C24×C8311yescharacteristic
1395C22×C4C24×C8311yescharacteristic
1396C22×C4C24×C8311yescharacteristic
1397C22×C4C24×C8311yescharacteristic
1398C22×C4C24×C8311yescharacteristic
1399Q16—41no—
1400Q16—41no—
1401SD16—41no—
1402SD16—41no—
1403SD16—41no—
1404SD16—41no—
1405D8—41no—
1406D8—41no—
1407M16—41no—
1408M16—41no—
1409M16—41no—
1410M16—41no—
1411C2×C8—41no—
1412C2×C8—41no—
1413C2×C8—41no—
1414C2×C8—41no—
1415C2×C8C24×C8311yescharacteristic
1416C2×C8C24×C8311yescharacteristic
1417C2×C8C24×C8311yescharacteristic
1418C2×C8C24×C8311yescharacteristic
1419C2×C8C24×C8311yescharacteristic
1420C2×C8C24×C8311yescharacteristic
1421C2×C8C24×C8311yescharacteristic
1422C2×C8C24×C8311yescharacteristic
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—21no—
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊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⋊C4C2×D4×C8311yescharacteristic
1458C4⋊C4C2×D4×C8311yescharacteristic
1459C4⋊C4C2×D4×C8311yescharacteristic
1460C4⋊C4C2×D4×C8311yescharacteristic
1461C4⋊C4C24×C8311yescharacteristic
1462C4⋊C4C24×C8311yescharacteristic
1463C4⋊C4C24×C8311yescharacteristic
1464C4⋊C4C24×C8311yescharacteristic
1465C4⋊C4C24×C8311yescharacteristic
1466C4⋊C4C24×C8311yescharacteristic
1467C4⋊C4C24×C8311yescharacteristic
1468C4⋊C4C24×C8311yescharacteristic
1469C4⋊C4C24×C8311yescharacteristic
1470C4⋊C4C24×C8311yescharacteristic
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊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⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4C2×D4×C8311yescharacteristic
1507C22⋊C4C2×D4×C8311yescharacteristic
1508C22⋊C4C2×D4×C8311yescharacteristic
1509C22⋊C4C2×D4×C8311yescharacteristic
1510C22⋊C4C2×D4×C8311yescharacteristic
1511C22⋊C4C2×D4×C8311yescharacteristic
1512C22⋊C4C2×D4×C8311yescharacteristic
1513C22⋊C4C2×D4×C8311yescharacteristic
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
1527C42C24×C8311yescharacteristic
1528C42C24×C8311yescharacteristic
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—81no—
1533C23—81no—
1534C23—81no—
1535C23C22×D4×C8311yescharacteristic
1536C23C22×D4×C8311yescharacteristic
1537C23C22×D4×C8311yescharacteristic
1538C23C22×D4×C8311yescharacteristic
1539C23C22×D4×C8311yescharacteristic
1540Q8—21no—
1541Q8—21no—
1542Q8—21no—
1543Q8—21no—
1544Q8—21no—
1545Q8—21no—
1546Q8—41no—
1547Q8—41no—
1548Q8—81no—
1549D4—21no—
1550D4—21no—
1551D4—21no—
1552D4—21no—
1553D4—21no—
1554D4—21no—
1555D4—41no—
1556D4—41no—
1557D4—41no—
1558D4—41no—
1559D4—41no—
1560D4—41no—
1561D4—41no—
1562D4—41no—
1563D4—41no—
1564D4—41no—
1565D4—42no—
1566D4—81no—
1567D4—81no—
1568D4—81no—
1569D4—81no—
1570D4—81no—
1571D4—81no—
1572D4—81no—
1573D4—81no—
1574D4—81no—
1575D4—81no—
1576D4—81no—
1577D4—81no—
1578D4—81no—
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—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—42no—
1605C2×C4—81no—
1606C2×C4—81no—
1607C2×C4—81no—
1608C2×C4—81no—
1609C2×C4—81no—
1610C2×C4—81no—
1611C2×C4—81no—
1612C2×C4—81no—
1613C2×C4—81no—
1614C2×C4—81no—
1615C2×C4—81no—
1616C2×C4—81no—
1617C2×C4—81no—
1618C2×C4—81no—
1619C2×C4—81no—
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×C4C22×D4×C8311yescharacteristic
1629C2×C4C25×C8311yescharacteristic
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—21no—
1634C8—21no—
1635C8—21no—
1636C8—21no—
1637C8—21no—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—21no—
1643C22—21no—
1644C22—21no—
1645C22—21no—
1646C22—21no—
1647C22—21no—
1648C22—21no—
1649C22—21no—
1650C22—21no—
1651C22—21no—
1652C22—21no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—162no—
1663C22C23×D4×C8311yescharacteristic
1664C4—21no—
1665C4—21no—
1666C4—21no—
1667C4—21no—
1668C4—21no—
1669C4—21no—
1670C4—21no—
1671C4—21no—
1672C4—21no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4#585×C8311yescharacteristic
1687C4#585×C8311yescharacteristic
1688C2—41no—
1689C2—41no—
1690C2—41no—
1691C2—41no—
1692C2—41no—
1693C2—81no—
1694C2—81no—
1695C2—81no—
1696C2C83×#348511yescharacteristic
1697C2C83×#358411yescharacteristic
1698C2C83×#358411yescharacteristic
subgroupG/H
center, socleC22×C83C23×D4
commutator, Frattini, cosocleC2×C4C25×C83
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C83 ◁ #532×C83 ◁ G

Complements

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

NH ≅ G/Ntype
1. C83×#3551C2semidirect
2. C83×#3512C2semidirect
3. C83×#3355C2semidirect
4. C83×#3352C2semidirect
5. C83×#3351C2semidirect
6. C83×#3351C2semidirect
7. C83×#3339C2semidirect
8. C83×#3337C2semidirect
9. C83×#3337C2semidirect
10. C83×#3336C2semidirect
11. C83×#3327C2semidirect
12. C83×#3326C2semidirect
13. C83×#3323C2semidirect
14. C83×#3322C2semidirect
15. C83×#3301C2semidirect
16. C83×#3300C2semidirect
17. C83×#3297C2semidirect
18. C83×#3296C2semidirect
19. C83×#3232C2semidirect
20. C83×#3232C2semidirect
21. C83×#3204C2semidirect
22. C83×#3203C2semidirect
23. C83×#3201C2semidirect
24. C83×#3198C2semidirect
25. C83×#3102C2semidirect
26. C83×#3102C2semidirect
27. C83×#3099C2semidirect
28. C83×#3098C2semidirect
29. C83×#3097C2semidirect
30. C83×#3096C2semidirect
31. C83×#2979C2semidirect
43. #553×C83C22semidirect
44. #553×C83C22semidirect
49. #552×C83C22semidirect
50. #552×C83C22semidirect
65. #537×C83C22semidirect
73. C2×#125×C83C22semidirect
75. #520×C83C22semidirect
76. C4×#41×C83C22semidirect
77. #499×C83C22semidirect
78. #499×C83C22semidirect
79. #499×C83C22semidirect
80. #499×C83C22semidirect
88. #485×C83C22semidirect
89. #485×C83C22semidirect
90. #485×C83C22semidirect
91. #485×C83C22semidirect
92. #485×C83C22semidirect
94. #484×C83C22semidirect
95. #484×C83C22semidirect
96. #484×C83C22semidirect
97. #484×C83C22semidirect
99. #483×C83C22semidirect
100. #483×C83C22semidirect
101. #483×C83C22semidirect
102. #483×C83C22semidirect
110. #482×C83C22semidirect
115. #481×C83C22semidirect
120. #480×C83C22semidirect
121. #479×C83C22semidirect
122. #479×C83C22semidirect
123. #479×C83C22semidirect
124. #479×C83C22semidirect
125. #479×C83C22semidirect
126. #479×C83C22semidirect
131. #478×C83C22semidirect
132. #478×C83C22semidirect
134. #470×C83C22semidirect
140. #468×C83C22semidirect
142. #467×C83C22semidirect
148. #465×C83C22semidirect
155. #452×C83C22semidirect
156. #452×C83C22semidirect
157. #451×C83C22semidirect
163. #448×C83C22semidirect
165. C4×Q16×C83C22semidirect
166. C4×Q16×C83C22semidirect
169. C4×SD16×C83C22semidirect
170. C4×SD16×C83C22semidirect
175. #436×C83C22semidirect
176. #436×C83C22semidirect
179. C8×D4×C83C22semidirect
180. C8×D4×C83C22semidirect
181. #431×C83C22semidirect
182. #431×C83C22semidirect
184. #428×C83C22semidirect
185. #428×C83C22semidirect
186. #428×C83C22semidirect
188. #427×C83C22semidirect
189. C2×#107×C83C22semidirect
190. C2×#106×C83C22semidirect
191. #419×C83C22semidirect
197. C2×#103×C83C22semidirect
201. #408×C83C22semidirect
202. #408×C83C22semidirect
838. #61790C83direct (N × H)
850. #3551C2×C83semidirect
851. #3512C2×C83semidirect
852. #3355C2×C83semidirect
853. #3352C2×C83semidirect
854. #3351C2×C83semidirect
855. #3351C2×C83semidirect
856. #3339C2×C83semidirect
857. #3337C2×C83semidirect
858. #3337C2×C83semidirect
859. #3336C2×C83semidirect
860. #3327C2×C83semidirect
861. #3326C2×C83semidirect
862. #3323C2×C83semidirect
863. #3322C2×C83semidirect
864. #3301C2×C83semidirect
865. #3300C2×C83semidirect
866. #3297C2×C83semidirect
867. #3296C2×C83semidirect
868. #3232C2×C83semidirect
869. #3232C2×C83semidirect
870. #3204C2×C83semidirect
871. #3203C2×C83semidirect
872. #3201C2×C83semidirect
873. #3198C2×C83semidirect
874. #3102C2×C83semidirect
875. #3102C2×C83semidirect
876. #3099C2×C83semidirect
877. #3098C2×C83semidirect
878. #3097C2×C83semidirect
879. #3096C2×C83semidirect
880. #2979C2×C83semidirect
881. C83#61790direct (N × H)
893. #553C22×C83semidirect
894. #553C22×C83semidirect
899. #552C22×C83semidirect
900. #552C22×C83semidirect
915. #537C22×C83semidirect
923. C2×#125C22×C83semidirect
925. #520C22×C83semidirect
926. C4×#41C22×C83semidirect
927. #499C22×C83semidirect
928. #499C22×C83semidirect
929. #499C22×C83semidirect
930. #499C22×C83semidirect
938. #485C22×C83semidirect
939. #485C22×C83semidirect
940. #485C22×C83semidirect
941. #485C22×C83semidirect
942. #485C22×C83semidirect
944. #484C22×C83semidirect
945. #484C22×C83semidirect
946. #484C22×C83semidirect
947. #484C22×C83semidirect
949. #483C22×C83semidirect
950. #483C22×C83semidirect
951. #483C22×C83semidirect
952. #483C22×C83semidirect
960. #482C22×C83semidirect
965. #481C22×C83semidirect
970. #480C22×C83semidirect
971. #479C22×C83semidirect
972. #479C22×C83semidirect
973. #479C22×C83semidirect
974. #479C22×C83semidirect
975. #479C22×C83semidirect
976. #479C22×C83semidirect
981. #478C22×C83semidirect
982. #478C22×C83semidirect
984. #470C22×C83semidirect
990. #468C22×C83semidirect
992. #467C22×C83semidirect
998. #465C22×C83semidirect
1005. #452C22×C83semidirect
1006. #452C22×C83semidirect
1007. #451C22×C83semidirect
1013. #448C22×C83semidirect
1015. C4×Q16C22×C83semidirect
1016. C4×Q16C22×C83semidirect
1019. C4×SD16C22×C83semidirect
1020. C4×SD16C22×C83semidirect
1025. #436C22×C83semidirect
1026. #436C22×C83semidirect
1029. C8×D4C22×C83semidirect
1030. C8×D4C22×C83semidirect
1031. #431C22×C83semidirect
1032. #431C22×C83semidirect
1034. #428C22×C83semidirect
1035. #428C22×C83semidirect
1036. #428C22×C83semidirect
1038. #427C22×C83semidirect
1039. C2×#107C22×C83semidirect
1040. C2×#106C22×C83semidirect
1041. #419C22×C83semidirect
1047. C2×#103C22×C83semidirect
1051. #408C22×C83semidirect
1052. #408C22×C83semidirect

Maximal subgroups

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

subgroupindex
C83×#35512
C83×#35122
C83×#33552
C83×#33522
C83×#33512
C83×#33392
C83×#33372
C83×#33362
C83×#33272
C83×#33262
C83×#33232
C83×#33222
C83×#33012
C83×#33002
C83×#32972
C83×#32962
C83×#32322
C83×#32042
C83×#32032
C83×#32012
C83×#31982
C83×#31022
C83×#30992
C83×#30982
C83×#30972
C83×#30962
C83×#29792
#6179083