Finite Group Databasebeta

← C83×#61925 #35289749

Subgroups — C83×#61925 #35289749

Order 21248.

1664 conjugacy classes of subgroups.

The subgroup lattice has 1648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C83×#3555C211yesmaximal, characteristic, complemented
2C83×#3510C211yesmaximal, characteristic, complemented
3C83×#3402C211yesmaximal, characteristic, complemented
4C83×#3402C211yesmaximal, characteristic, complemented
5C83×#3401C211yesmaximal, characteristic, complemented
6C83×#3401C211yesmaximal, characteristic, complemented
7C83×#3400C211yesmaximal, characteristic, complemented
8C83×#3398C211yesmaximal, characteristic, complemented
9C83×#3394C211yesmaximal, characteristic, complemented
10C83×#3393C211yesmaximal, characteristic, complemented
11C83×#3377C211yesmaximal, characteristic, complemented
12C83×#3376C211yesmaximal, characteristic, complemented
13C83×#3375C211yesmaximal, characteristic, complemented
14C83×#3371C211yesmaximal, characteristic, complemented
15C83×#3370C211yesmaximal, characteristic, complemented
16C83×#3369C211yesmaximal, characteristic, complemented
17C83×#3365C211yesmaximal, characteristic, complemented
18C83×#3364C211yesmaximal, characteristic, complemented
19C83×#3225C211yesmaximal, characteristic, complemented
20C83×#3224C211yesmaximal, characteristic
21C83×#3223C211yesmaximal, characteristic, complemented
22C83×#3222C211yesmaximal, characteristic, complemented
23C83×#3215C211yesmaximal, characteristic, complemented
24C83×#3211C211yesmaximal, characteristic, complemented
25C83×#3127C211yesmaximal, characteristic, complemented
26C83×#3123C211yesmaximal, characteristic, complemented
27C83×#3121C211yesmaximal, characteristic, complemented
28C83×#3118C211yesmaximal, characteristic, complemented
29C83×#3111C211yesmaximal, characteristic, complemented
30C83×#3107C211yesmaximal, characteristic, complemented
31C83×#2985C211yesmaximal, characteristic, complemented
32#563×C83—21no—
33#563×C83—21no—
34#559×C83C2211yescharacteristic
35#559×C83C2211yescharacteristic
36#559×C83C2211yescharacteristic
37#559×C83C2211yescharacteristic
38Q82×C83C2211yescharacteristic, complemented
39#557×C83C2211yescharacteristic, complemented
40#557×C83C2211yescharacteristic, complemented
41#557×C83C2211yescharacteristic, complemented
42#556×C83—21no—
43#556×C83C2211yescharacteristic
44#556×C83C2211yescharacteristic
45#556×C83C2211yescharacteristic
46#556×C83C2211yescharacteristic
47#556×C83C2211yescharacteristic, complemented
48#556×C83C2211yescharacteristic, complemented
49#556×C83C2211yescharacteristic, complemented
50#554×C83C2211yescharacteristic, complemented
51#552×C83—21no—
52#551×C83—21no—
53#551×C83—21no—
54#551×C83—21no—
55#551×C83—21no—
56#544×C83—21no—
57#542×C83—21no—
58#542×C83—21no—
59#542×C83C2211yescharacteristic
60#542×C83C2211yescharacteristic
61#541×C83—21no—
62#541×C83—21no—
63#541×C83—21no—
64#541×C83C2211yescharacteristic
65#541×C83C2211yescharacteristic
66#536×C83C2211yescharacteristic
67#535×C83C2211yescharacteristic
68#533×C83C2211yescharacteristic
69#533×C83C2211yescharacteristic
70#529×C83—21no—
71#529×C83—21no—
72#529×C83C2211yescharacteristic
73C2×#124×C83C2211yescharacteristic
74#519×C83C2211yescharacteristic
75#518×C83C2211yescharacteristic
76C4×#41×C83C2211yescharacteristic
77#497×C83C2211yescharacteristic
78#497×C83C2211yescharacteristic
79#497×C83C2211yescharacteristic
80#497×C83C2211yescharacteristic, complemented
81#497×C83C2211yescharacteristic, complemented
82#496×C83C2211yescharacteristic
83#495×C83C2211yescharacteristic
84#495×C83C2211yescharacteristic
85#495×C83C2211yescharacteristic
86#495×C83C2211yescharacteristic, complemented
87#494×C83C2211yescharacteristic, complemented
88#492×C83C2211yescharacteristic
89#491×C83C2211yescharacteristic, complemented
90#490×C83C2211yescharacteristic
91#489×C83C2211yescharacteristic
92#489×C83C2211yescharacteristic
93#489×C83C2211yescharacteristic
94#489×C83C2211yescharacteristic, complemented
95#488×C83C2211yescharacteristic
96#488×C83C2211yescharacteristic
97#488×C83C2211yescharacteristic
98#488×C83C2211yescharacteristic, complemented
99#487×C83C2211yescharacteristic, complemented
100#486×C83C2211yescharacteristic
101#485×C83C2211yescharacteristic
102#485×C83C2211yescharacteristic
103#485×C83C2211yescharacteristic
104#482×C83C2211yescharacteristic
105#479×C83C2211yescharacteristic, complemented
106#479×C83C2211yescharacteristic, complemented
107#479×C83C2211yescharacteristic, complemented
108#478×C83C2211yescharacteristic
109#478×C83C2211yescharacteristic
110#478×C83C2211yescharacteristic, complemented
111#477×C83C2211yescharacteristic, complemented
112#476×C83C2211yescharacteristic
113#475×C83C2211yescharacteristic, complemented
114#475×C83C2211yescharacteristic, complemented
115#474×C83C2211yescharacteristic
116#474×C83C2211yescharacteristic, complemented
117#464×C83C2211yescharacteristic
118#464×C83C2211yescharacteristic
119#464×C83C2211yescharacteristic
120#464×C83C2211yescharacteristic
121#464×C83C2211yescharacteristic
122#464×C83C2211yescharacteristic
123#464×C83C2211yescharacteristic
124#464×C83C2211yescharacteristic
125#464×C83C2211yescharacteristic
126#464×C83C2211yescharacteristic, complemented
127#464×C83C2211yescharacteristic, complemented
128#464×C83C2211yescharacteristic, complemented
129#464×C83C2211yescharacteristic, complemented
130#464×C83C2211yescharacteristic, complemented
131#464×C83C2211yescharacteristic, complemented
132#463×C83C2211yescharacteristic
133#463×C83C2211yescharacteristic
134#463×C83C2211yescharacteristic
135#463×C83C2211yescharacteristic
136#463×C83C2211yescharacteristic
137#463×C83C2211yescharacteristic, complemented
138#463×C83C2211yescharacteristic, complemented
139#462×C83C2211yescharacteristic, complemented
140#462×C83C2211yescharacteristic, complemented
141#462×C83C2211yescharacteristic, complemented
142#462×C83C2211yescharacteristic, complemented
143#462×C83C2211yescharacteristic, complemented
144#462×C83C2211yescharacteristic, complemented
145#461×C83C2211yescharacteristic
146#461×C83C2211yescharacteristic
147#461×C83C2211yescharacteristic, complemented
148#461×C83C2211yescharacteristic, complemented
149#460×C83C2211yescharacteristic
150#460×C83C2211yescharacteristic
151#460×C83C2211yescharacteristic
152#459×C83C2211yescharacteristic
153#452×C83C2211yescharacteristic
154#452×C83C2211yescharacteristic
155#452×C83C2211yescharacteristic
156#451×C83C2211yescharacteristic
157#451×C83C2211yescharacteristic
158#451×C83C2211yescharacteristic
159#450×C83C2211yescharacteristic
160#450×C83C2211yescharacteristic
161#450×C83C2211yescharacteristic
162#449×C83C2211yescharacteristic
163#448×C83C2211yescharacteristic
164#447×C83C2211yescharacteristic
165#446×C83C2211yescharacteristic, complemented
166#446×C83C2211yescharacteristic, complemented
167#446×C83C2211yescharacteristic, complemented
168#446×C83C2211yescharacteristic, complemented
169#446×C83C2211yescharacteristic, complemented
170#446×C83C2211yescharacteristic, complemented
171C8×Q8×C83C2211yescharacteristic, complemented
172C8×Q8×C83C2211yescharacteristic, complemented
173#442×C83C2211yescharacteristic
174#442×C83C2211yescharacteristic, complemented
175#441×C83C2211yescharacteristic, complemented
176#441×C83C2211yescharacteristic, complemented
177#441×C83C2211yescharacteristic, complemented
178#441×C83C2211yescharacteristic, complemented
179#440×C83C2211yescharacteristic
180#440×C83C2211yescharacteristic
181#440×C83C2211yescharacteristic
182#440×C83C2211yescharacteristic, complemented
183#440×C83C2211yescharacteristic, complemented
184#440×C83C2211yescharacteristic, complemented
185C4×Q16×C83C2211yescharacteristic, complemented
186C4×Q16×C83C2211yescharacteristic, complemented
187C4×Q16×C83C2211yescharacteristic, complemented
188C4×Q16×C83C2211yescharacteristic, complemented
189C4×Q16×C83C2211yescharacteristic, complemented
190C4×SD16×C83C2211yescharacteristic
191C4×SD16×C83C2211yescharacteristic
192C4×SD16×C83C2211yescharacteristic
193C4×SD16×C83C2211yescharacteristic, complemented
194C4×SD16×C83C2211yescharacteristic, complemented
195C4×SD16×C83C2211yescharacteristic, complemented
196C4×D8×C83C2211yescharacteristic
197#433×C83C2211yescharacteristic
198#433×C83C2211yescharacteristic
199#433×C83C2211yescharacteristic
200#433×C83C2211yescharacteristic
201#432×C83C2211yescharacteristic
202#431×C83C2211yescharacteristic
203C2×#41×C83C2311yescharacteristic
204C22×Q8×C83C2311yescharacteristic
205C22×D4×C83C2311yescharacteristic
206C2×Q16×C83C2311yescharacteristic
207C2×Q16×C83C2311yescharacteristic
208C2×Q16×C83C2311yescharacteristic
209C2×Q16×C83C2311yescharacteristic
210C2×Q16×C83C2311yescharacteristic
211C2×Q16×C83C2311yescharacteristic
212C2×Q16×C83C2311yescharacteristic
213C2×Q16×C83C2311yescharacteristic
214C2×Q16×C83C2311yescharacteristic
215C2×SD16×C83C2311yescharacteristic
216C2×SD16×C83C2311yescharacteristic
217C2×SD16×C83C2311yescharacteristic
218C2×SD16×C83C2311yescharacteristic
219C2×SD16×C83C2311yescharacteristic
220C2×SD16×C83C2311yescharacteristic
221C2×SD16×C83C2311yescharacteristic
222C2×SD16×C83C2311yescharacteristic
223C2×SD16×C83C2311yescharacteristic
224C2×SD16×C83C2311yescharacteristic
225C2×SD16×C83C2311yescharacteristic
226C2×SD16×C83C2311yescharacteristic
227C2×D8×C83C2311yescharacteristic
228C2×D8×C83C2311yescharacteristic
229C2×D8×C83C2311yescharacteristic
230C4⋊Q8×C83—21no—
231C4⋊Q8×C83—21no—
232C4⋊Q8×C83—21no—
233C4⋊Q8×C83—21no—
234C4⋊Q8×C83—21no—
235C4⋊Q8×C83D411yescharacteristic
236C4⋊Q8×C83D411yescharacteristic
237C4⋊Q8×C83C2311yescharacteristic
238C4⋊Q8×C83C2311yescharacteristic
239C4⋊Q8×C83C2311yescharacteristic
240C4⋊Q8×C83C2311yescharacteristic
241C4⋊Q8×C83C2311yescharacteristic
242C4⋊Q8×C83C2311yescharacteristic
243C4⋊Q8×C83C2311yescharacteristic
244C4⋊Q8×C83C2311yescharacteristic
245#127×C83C2311yescharacteristic
246#127×C83C2311yescharacteristic
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#126×C83—21no—
258#126×C83—21no—
259#126×C83—21no—
260#126×C83—21no—
261#126×C83—21no—
262#126×C83—21no—
263#126×C83—21no—
264#126×C83—21no—
265#126×C83—21no—
266#126×C83—21no—
267#126×C83—21no—
268#125×C83—21no—
269#125×C83—21no—
270#125×C83—21no—
271#125×C83—21no—
272#125×C83—21no—
273#125×C83—21no—
274#125×C83—21no—
275#125×C83—21no—
276#125×C83—21no—
277#125×C83—21no—
278#125×C83—21no—
279#125×C83—21no—
280#125×C83D411yescharacteristic
281#125×C83D411yescharacteristic
282#125×C83C2311yescharacteristic
283#125×C83C2311yescharacteristic
284#125×C83C2311yescharacteristic
285#124×C83—21no—
286#124×C83—21no—
287#124×C83—21no—
288#124×C83—21no—
289#124×C83—21no—
290#124×C83—21no—
291#124×C83—21no—
292#124×C83—21no—
293#124×C83C2311yescharacteristic
294#124×C83C2311yescharacteristic
295#124×C83C2311yescharacteristic
296#124×C83C2311yescharacteristic
297#124×C83C2311yescharacteristic
298#124×C83C2311yescharacteristic
299#124×C83C2311yescharacteristic
300#124×C83C2311yescharacteristic
301#124×C83C2311yescharacteristic
302#124×C83C2311yescharacteristic
303#124×C83C2311yescharacteristic
304#123×C83—21no—
305#123×C83—21no—
306#123×C83—21no—
307#123×C83—21no—
308#123×C83—21no—
309#123×C83—21no—
310#123×C83—21no—
311#123×C83—21no—
312#123×C83—21no—
313#123×C83—21no—
314#123×C83—21no—
315#123×C83—21no—
316#123×C83—21no—
317C22⋊Q8×C83—21no—
318C22⋊Q8×C83—21no—
319C22⋊Q8×C83—21no—
320C22⋊Q8×C83—21no—
321C22⋊Q8×C83—21no—
322C22⋊Q8×C83—21no—
323C22⋊Q8×C83—21no—
324C22⋊Q8×C83—21no—
325C22⋊Q8×C83—21no—
326C22⋊Q8×C83—21no—
327C22⋊Q8×C83—21no—
328C22⋊Q8×C83—21no—
329C22⋊Q8×C83—21no—
330C22⋊Q8×C83—21no—
331C22⋊Q8×C83—21no—
332C22⋊Q8×C83D411yescharacteristic
333C22⋊Q8×C83D411yescharacteristic
334C22⋊Q8×C83D411yescharacteristic
335C22⋊Q8×C83D411yescharacteristic
336C22⋊Q8×C83C2311yescharacteristic
337C22⋊Q8×C83C2311yescharacteristic
338C22⋊Q8×C83C2311yescharacteristic
339#121×C83—21no—
340#121×C83—21no—
341#121×C83C2311yescharacteristic
342#120×C83—21no—
343#120×C83—21no—
344C4×Q8×C83—21no—
345C4×Q8×C83—21no—
346C4×Q8×C83—21no—
347C4×Q8×C83—21no—
348C4×Q8×C83—21no—
349C4×Q8×C83—21no—
350C4×Q8×C83—21no—
351C4×Q8×C83C2311yescharacteristic
352C4×Q8×C83C2311yescharacteristic
353C4×Q8×C83C2311yescharacteristic
354C4×Q8×C83C2311yescharacteristic
355C4×Q8×C83C2311yescharacteristic
356C4×Q8×C83C2311yescharacteristic
357C4×Q8×C83C2311yescharacteristic
358C4×Q8×C83C2311yescharacteristic
359C4×Q8×C83C2311yescharacteristic
360C4×Q8×C83C2311yescharacteristic
361C4×Q8×C83C2311yescharacteristic
362C4×Q8×C83C2311yescharacteristic
363C4×Q8×C83C2311yescharacteristic
364C4×Q8×C83C2311yescharacteristic
365C4×Q8×C83C2311yescharacteristic
366C4×Q8×C83C2311yescharacteristic
367C4×Q8×C83C2311yescharacteristic
368C4×Q8×C83C2311yescharacteristic
369C4×Q8×C83C2311yescharacteristic
370C4×D4×C83—21no—
371C4×D4×C83—21no—
372C4×D4×C83—21no—
373C4×D4×C83—21no—
374C4×D4×C83—21no—
375C4×D4×C83—21no—
376C4×D4×C83—21no—
377C4×D4×C83—21no—
378C4×D4×C83—21no—
379C4×D4×C83C2311yescharacteristic
380C4×D4×C83C2311yescharacteristic
381C4×D4×C83C2311yescharacteristic
382C4×D4×C83C2311yescharacteristic
383C4×D4×C83C2311yescharacteristic
384C4×D4×C83C2311yescharacteristic
385C4×D4×C83C2311yescharacteristic
386C4×D4×C83C2311yescharacteristic
387C4×D4×C83C2311yescharacteristic
388#117×C83—21no—
389#117×C83—21no—
390#117×C83—21no—
391#117×C83—21no—
392#117×C83—21no—
393#117×C83—21no—
394#117×C83—21no—
395#117×C83—21no—
396#117×C83—21no—
397#117×C83—21no—
398#117×C83—21no—
399#117×C83—21no—
400#117×C83C2311yescharacteristic
401#117×C83C2311yescharacteristic
402#117×C83C2311yescharacteristic
403C2×C4⋊C4×C83—21no—
404C2×C22⋊C4×C83—21no—
405C2×C22⋊C4×C83—21no—
406C2×C22⋊C4×C83—21no—
407C2×C22⋊C4×C83—21no—
408C2×C42×C83—21no—
409C2×C42×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
418C4⋊C8×C83C2311yescharacteristic
419C4⋊C8×C83C2311yescharacteristic
420C4⋊C8×C83C2311yescharacteristic
421C4⋊C8×C83C2311yescharacteristic
422C4⋊C8×C83C2311yescharacteristic
423C4⋊C8×C83C2311yescharacteristic
424C4⋊C8×C83C2311yescharacteristic
425C4⋊C8×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#103×C83C2311yescharacteristic
447#103×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
466#97×C83C2311yescharacteristic
467#97×C83C2311yescharacteristic
468#97×C83C2311yescharacteristic
469#97×C83C2311yescharacteristic
470#97×C83C2311yescharacteristic
471#97×C83C2311yescharacteristic
472C4×C8×C83C2311yescharacteristic
473C4×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—
481C2×Q8×C83—21no—
482C2×Q8×C83—21no—
483C2×Q8×C83—21no—
484C2×Q8×C83—21no—
485C2×Q8×C83—41no—
486C2×Q8×C83—41no—
487C2×Q8×C83C2×D411yescharacteristic
488C2×Q8×C83C2×D411yescharacteristic
489C2×Q8×C83C2×D411yescharacteristic
490C2×Q8×C83C2×D411yescharacteristic
491C2×Q8×C83C2411yescharacteristic
492C2×Q8×C83C2411yescharacteristic
493C2×Q8×C83C2411yescharacteristic
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—41no—
505C2×D4×C83—41no—
506C2×D4×C83C2411yescharacteristic
507C2×D4×C83C2411yescharacteristic
508C2×D4×C83C2411yescharacteristic
509C2×D4×C83C2411yescharacteristic
510C22×C4×C83—21no—
511C22×C4×C83—21no—
512C22×C4×C83—21no—
513C22×C4×C83—21no—
514C22×C4×C83—21no—
515C22×C4×C83—21no—
516C22×C4×C83—21no—
517C22×C4×C83—21no—
518C22×C4×C83—21no—
519C22×C4×C83—21no—
520C22×C4×C83—21no—
521C22×C4×C83C2×D411yescharacteristic
522C22×C4×C83C2×D411yescharacteristic
523C22×C4×C83C2411yescharacteristic
524Q16×C83—41no—
525Q16×C83—41no—
526Q16×C83—41no—
527Q16×C83—41no—
528Q16×C83—41no—
529Q16×C83—41no—
530Q16×C83—41no—
531Q16×C83—41no—
532Q16×C83—41no—
533SD16×C83—41no—
534SD16×C83—41no—
535SD16×C83—41no—
536SD16×C83—41no—
537SD16×C83—41no—
538SD16×C83—41no—
539SD16×C83—41no—
540SD16×C83—41no—
541SD16×C83—41no—
542SD16×C83—41no—
543SD16×C83—41no—
544SD16×C83—41no—
545D8×C83—41no—
546D8×C83—41no—
547D8×C83—41no—
548C2×C8×C83C2411yescharacteristic
549C2×C8×C83C2411yescharacteristic
550C2×C8×C83C2411yescharacteristic
551C2×C8×C83C2411yescharacteristic
552C2×C8×C83C2411yescharacteristic
553C2×C8×C83C2411yescharacteristic
554C2×C8×C83C2411yescharacteristic
555C2×C8×C83C2411yescharacteristic
556C4⋊C4×C83—21no—
557C4⋊C4×C83—21no—
558C4⋊C4×C83—21no—
559C4⋊C4×C83—21no—
560C4⋊C4×C83—21no—
561C4⋊C4×C83—21no—
562C4⋊C4×C83—21no—
563C4⋊C4×C83—21no—
564C4⋊C4×C83—21no—
565C4⋊C4×C83—21no—
566C4⋊C4×C83—21no—
567C4⋊C4×C83—21no—
568C4⋊C4×C83—21no—
569C4⋊C4×C83—21no—
570C4⋊C4×C83—21no—
571C4⋊C4×C83—21no—
572C4⋊C4×C83—21no—
573C4⋊C4×C83—21no—
574C4⋊C4×C83—21no—
575C4⋊C4×C83—21no—
576C4⋊C4×C83—21no—
577C4⋊C4×C83—21no—
578C4⋊C4×C83—21no—
579C4⋊C4×C83—21no—
580C4⋊C4×C83—21no—
581C4⋊C4×C83—21no—
582C4⋊C4×C83—21no—
583C4⋊C4×C83—21no—
584C4⋊C4×C83—21no—
585C4⋊C4×C83—21no—
586C4⋊C4×C83—21no—
587C4⋊C4×C83—21no—
588C4⋊C4×C83—21no—
589C4⋊C4×C83—21no—
590C4⋊C4×C83—21no—
591C4⋊C4×C83—21no—
592C4⋊C4×C83—21no—
593C4⋊C4×C83C2×D411yescharacteristic
594C4⋊C4×C83C2×D411yescharacteristic
595C4⋊C4×C83C2×D411yescharacteristic
596C4⋊C4×C83C2×D411yescharacteristic
597C4⋊C4×C83C2×D411yescharacteristic
598C4⋊C4×C83C2×D411yescharacteristic
599C4⋊C4×C83C2×D411yescharacteristic
600C4⋊C4×C83C2×D411yescharacteristic
601C4⋊C4×C83C2×D411yescharacteristic
602C4⋊C4×C83C2×D411yescharacteristic
603C4⋊C4×C83C2×D411yescharacteristic
604C4⋊C4×C83C2×D411yescharacteristic
605C4⋊C4×C83C2×D411yescharacteristic
606C4⋊C4×C83C2×D411yescharacteristic
607C4⋊C4×C83C2×D411yescharacteristic
608C4⋊C4×C83C2×D411yescharacteristic
609C4⋊C4×C83C2411yescharacteristic
610C4⋊C4×C83C2411yescharacteristic
611C4⋊C4×C83C2411yescharacteristic
612C4⋊C4×C83C2411yescharacteristic
613C4⋊C4×C83C2411yescharacteristic
614C4⋊C4×C83C2411yescharacteristic
615C22⋊C4×C83—21no—
616C22⋊C4×C83—21no—
617C22⋊C4×C83—21no—
618C22⋊C4×C83—21no—
619C22⋊C4×C83—21no—
620C22⋊C4×C83—21no—
621C22⋊C4×C83—21no—
622C22⋊C4×C83—21no—
623C22⋊C4×C83—21no—
624C22⋊C4×C83—21no—
625C22⋊C4×C83—21no—
626C22⋊C4×C83—21no—
627C22⋊C4×C83—21no—
628C22⋊C4×C83—21no—
629C22⋊C4×C83—21no—
630C22⋊C4×C83—21no—
631C22⋊C4×C83—21no—
632C22⋊C4×C83—21no—
633C22⋊C4×C83—21no—
634C22⋊C4×C83—21no—
635C22⋊C4×C83—21no—
636C22⋊C4×C83—21no—
637C22⋊C4×C83—21no—
638C22⋊C4×C83—21no—
639C22⋊C4×C83—21no—
640C22⋊C4×C83—21no—
641C22⋊C4×C83—21no—
642C22⋊C4×C83—21no—
643C22⋊C4×C83—21no—
644C22⋊C4×C83—21no—
645C22⋊C4×C83—21no—
646C22⋊C4×C83—21no—
647C22⋊C4×C83—21no—
648C22⋊C4×C83—21no—
649C22⋊C4×C83—21no—
650C22⋊C4×C83—21no—
651C22⋊C4×C83C2×D411yescharacteristic
652C22⋊C4×C83C2×D411yescharacteristic
653C22⋊C4×C83C2×D411yescharacteristic
654C22⋊C4×C83C2×D411yescharacteristic
655C42×C83—21no—
656C42×C83—21no—
657C42×C83—21no—
658C42×C83—21no—
659C42×C83—21no—
660C42×C83—21no—
661C42×C83—21no—
662C42×C83—21no—
663C42×C83—21no—
664C42×C83—21no—
665C42×C83—21no—
666C42×C83—21no—
667C42×C83—21no—
668C42×C83—21no—
669C42×C83—21no—
670C42×C83—21no—
671C42×C83C2×D411yescharacteristic
672C42×C83C2×D411yescharacteristic
673C42×C83C2411yescharacteristic
674C42×C83C2411yescharacteristic
675C42×C83C2411yescharacteristic
676C42×C83C2411yescharacteristic
677C42×C83C2411yescharacteristic
678C42×C83C2411yescharacteristic
679C23×C83—21no—
680C23×C83—21no—
681C23×C83—21no—
682C23×C83—21no—
683C23×C83—42no—
684C23×C83—81no—
685C23×C83—81no—
686C23×C83C22×D411yescharacteristic
687Q8×C83—21no—
688Q8×C83—21no—
689Q8×C83—21no—
690Q8×C83—21no—
691Q8×C83—21no—
692Q8×C83—21no—
693Q8×C83—21no—
694Q8×C83—21no—
695Q8×C83—21no—
696Q8×C83—21no—
697Q8×C83—21no—
698Q8×C83—21no—
699Q8×C83—41no—
700Q8×C83—41no—
701Q8×C83—41no—
702Q8×C83—41no—
703Q8×C83—42no—
704Q8×C83—81no—
705Q8×C83—81no—
706Q8×C83—81no—
707D4×C83—21no—
708D4×C83—21no—
709D4×C83—21no—
710D4×C83—21no—
711D4×C83—21no—
712D4×C83—21no—
713D4×C83—21no—
714D4×C83—21no—
715D4×C83—42no—
716D4×C83—42no—
717D4×C83—81no—
718D4×C83—81no—
719D4×C83—81no—
720D4×C83—81no—
721D4×C83—81no—
722C2×C4×C83—21no—
723C2×C4×C83—21no—
724C2×C4×C83—21no—
725C2×C4×C83—21no—
726C2×C4×C83—21no—
727C2×C4×C83—21no—
728C2×C4×C83—21no—
729C2×C4×C83—21no—
730C2×C4×C83—21no—
731C2×C4×C83—21no—
732C2×C4×C83—21no—
733C2×C4×C83—21no—
734C2×C4×C83—21no—
735C2×C4×C83—21no—
736C2×C4×C83—41no—
737C2×C4×C83—41no—
738C2×C4×C83—42no—
739C2×C4×C83—42no—
740C2×C4×C83—42no—
741C2×C4×C83—81no—
742C2×C4×C83—81no—
743C2×C4×C83—81no—
744C2×C4×C83—81no—
745C2×C4×C83—81no—
746C2×C4×C83—81no—
747C2×C4×C83—81no—
748C2×C4×C83—81no—
749C2×C4×C83C22×D411yescharacteristic
750C2×C4×C83C22×D411yescharacteristic
751C2×C4×C83C22×D411yescharacteristic
752C2×C4×C83C22×D411yescharacteristic
753C2×C4×C83C22×D411yescharacteristic
754C2×C4×C83C22×D411yescharacteristic
755C2×C4×C83C22×D411yescharacteristic
756C2×C4×C83C22×D411yescharacteristic
757C2×C4×C83C22×D411yescharacteristic
758C2×C4×C83C22×D411yescharacteristic
759C2×C4×C83C22×D411yescharacteristic
760C2×C4×C83C22×D411yescharacteristic
761C2×C4×C83C22×D411yescharacteristic
762C2×C4×C83C2511yescharacteristic
763C8×C83—21no—
764C8×C83—21no—
765C8×C83—21no—
766C8×C83—21no—
767C8×C83—21no—
768C8×C83—21no—
769C8×C83—21no—
770C8×C83—21no—
771C22×C83—21no—
772C22×C83—21no—
773C22×C83—21no—
774C22×C83—41no—
775C22×C83—41no—
776C22×C83—41no—
777C22×C83—41no—
778C22×C83—41no—
779C22×C83—41no—
780C22×C83—41no—
781C22×C83—41no—
782C22×C83—41no—
783C22×C83—41no—
784C22×C83—41no—
785C22×C83—41no—
786C22×C83—162no—
787C22×C83C23×D411yescharacteristic
788C4×C83—21no—
789C4×C83—21no—
790C4×C83—21no—
791C4×C83—21no—
792C4×C83—21no—
793C4×C83—21no—
794C4×C83—21no—
795C4×C83—21no—
796C4×C83—21no—
797C4×C83—21no—
798C4×C83—21no—
799C4×C83—21no—
800C4×C83—21no—
801C4×C83—41no—
802C4×C83—41no—
803C4×C83—41no—
804C4×C83—41no—
805C4×C83—41no—
806C4×C83—41no—
807C4×C83—41no—
808C4×C83—41no—
809C4×C83—41no—
810C4×C83—41no—
811C4×C83—41no—
812C4×C83—41no—
813C4×C83#58511yescharacteristic
814C4×C83#58511yescharacteristic
815#61925C8311yesmaximal, characteristic, direct product factor, Sylow
816C2×C83—41no—
817C2×C83—81no—
818C2×C83—81no—
819C2×C83—81no—
820C2×C83—81no—
821C2×C83#348711yescharacteristic
822C2×C83#358411yescharacteristic
823C2×C83#358611yescharacteristic
824#3555C2×C8311yescharacteristic, complemented
825#3510C2×C8311yescharacteristic, complemented
826#3402C2×C8311yescharacteristic, complemented
827#3402C2×C8311yescharacteristic, complemented
828#3401C2×C8311yescharacteristic, complemented
829#3401C2×C8311yescharacteristic, complemented
830#3400C2×C8311yescharacteristic, complemented
831#3398C2×C8311yescharacteristic, complemented
832#3394C2×C8311yescharacteristic, complemented
833#3393C2×C8311yescharacteristic, complemented
834#3377C2×C8311yescharacteristic, complemented
835#3376C2×C8311yescharacteristic, complemented
836#3375C2×C8311yescharacteristic, complemented
837#3371C2×C8311yescharacteristic, complemented
838#3370C2×C8311yescharacteristic, complemented
839#3369C2×C8311yescharacteristic, complemented
840#3365C2×C8311yescharacteristic, complemented
841#3364C2×C8311yescharacteristic, complemented
842#3225C2×C8311yescharacteristic, complemented
843#3224C2×C8311yescharacteristic
844#3223C2×C8311yescharacteristic, complemented
845#3222C2×C8311yescharacteristic, complemented
846#3215C2×C8311yescharacteristic, complemented
847#3211C2×C8311yescharacteristic, complemented
848#3127C2×C8311yescharacteristic, complemented
849#3123C2×C8311yescharacteristic, complemented
850#3121C2×C8311yescharacteristic, complemented
851#3118C2×C8311yescharacteristic, complemented
852#3111C2×C8311yescharacteristic, complemented
853#3107C2×C8311yescharacteristic, complemented
854#2985C2×C8311yescharacteristic, complemented
855C83#6192511yescharacteristic, direct product factor, Sylow
856#563—21no—
857#563—21no—
858#559C22×C8311yescharacteristic
859#559C22×C8311yescharacteristic
860#559C22×C8311yescharacteristic
861#559C22×C8311yescharacteristic
862Q82C22×C8311yescharacteristic, complemented
863#557C22×C8311yescharacteristic, complemented
864#557C22×C8311yescharacteristic, complemented
865#557C22×C8311yescharacteristic, complemented
866#556—21no—
867#556C22×C8311yescharacteristic
868#556C22×C8311yescharacteristic
869#556C22×C8311yescharacteristic
870#556C22×C8311yescharacteristic
871#556C22×C8311yescharacteristic, complemented
872#556C22×C8311yescharacteristic, complemented
873#556C22×C8311yescharacteristic, complemented
874#554C22×C8311yescharacteristic, complemented
875#552—21no—
876#551—21no—
877#551—21no—
878#551—21no—
879#551—21no—
880#544—21no—
881#542—21no—
882#542—21no—
883#542C22×C8311yescharacteristic
884#542C22×C8311yescharacteristic
885#541—21no—
886#541—21no—
887#541—21no—
888#541C22×C8311yescharacteristic
889#541C22×C8311yescharacteristic
890#536C22×C8311yescharacteristic
891#535C22×C8311yescharacteristic
892#533C22×C8311yescharacteristic
893#533C22×C8311yescharacteristic
894#529—21no—
895#529—21no—
896#529C22×C8311yescharacteristic
897C2×#124C22×C8311yescharacteristic
898#519C22×C8311yescharacteristic
899#518C22×C8311yescharacteristic
900C4×#41C22×C8311yescharacteristic
901#497C22×C8311yescharacteristic
902#497C22×C8311yescharacteristic
903#497C22×C8311yescharacteristic
904#497C22×C8311yescharacteristic, complemented
905#497C22×C8311yescharacteristic, complemented
906#496C22×C8311yescharacteristic
907#495C22×C8311yescharacteristic
908#495C22×C8311yescharacteristic
909#495C22×C8311yescharacteristic
910#495C22×C8311yescharacteristic, complemented
911#494C22×C8311yescharacteristic, complemented
912#492C22×C8311yescharacteristic
913#491C22×C8311yescharacteristic, complemented
914#490C22×C8311yescharacteristic
915#489C22×C8311yescharacteristic
916#489C22×C8311yescharacteristic
917#489C22×C8311yescharacteristic
918#489C22×C8311yescharacteristic, complemented
919#488C22×C8311yescharacteristic
920#488C22×C8311yescharacteristic
921#488C22×C8311yescharacteristic
922#488C22×C8311yescharacteristic, complemented
923#487C22×C8311yescharacteristic, complemented
924#486C22×C8311yescharacteristic
925#485C22×C8311yescharacteristic
926#485C22×C8311yescharacteristic
927#485C22×C8311yescharacteristic
928#482C22×C8311yescharacteristic
929#479C22×C8311yescharacteristic, complemented
930#479C22×C8311yescharacteristic, complemented
931#479C22×C8311yescharacteristic, complemented
932#478C22×C8311yescharacteristic
933#478C22×C8311yescharacteristic
934#478C22×C8311yescharacteristic, complemented
935#477C22×C8311yescharacteristic, complemented
936#476C22×C8311yescharacteristic
937#475C22×C8311yescharacteristic, complemented
938#475C22×C8311yescharacteristic, complemented
939#474C22×C8311yescharacteristic
940#474C22×C8311yescharacteristic, complemented
941#464C22×C8311yescharacteristic
942#464C22×C8311yescharacteristic
943#464C22×C8311yescharacteristic
944#464C22×C8311yescharacteristic
945#464C22×C8311yescharacteristic
946#464C22×C8311yescharacteristic
947#464C22×C8311yescharacteristic
948#464C22×C8311yescharacteristic
949#464C22×C8311yescharacteristic
950#464C22×C8311yescharacteristic, complemented
951#464C22×C8311yescharacteristic, complemented
952#464C22×C8311yescharacteristic, complemented
953#464C22×C8311yescharacteristic, complemented
954#464C22×C8311yescharacteristic, complemented
955#464C22×C8311yescharacteristic, complemented
956#463C22×C8311yescharacteristic
957#463C22×C8311yescharacteristic
958#463C22×C8311yescharacteristic
959#463C22×C8311yescharacteristic
960#463C22×C8311yescharacteristic
961#463C22×C8311yescharacteristic, complemented
962#463C22×C8311yescharacteristic, complemented
963#462C22×C8311yescharacteristic, complemented
964#462C22×C8311yescharacteristic, complemented
965#462C22×C8311yescharacteristic, complemented
966#462C22×C8311yescharacteristic, complemented
967#462C22×C8311yescharacteristic, complemented
968#462C22×C8311yescharacteristic, complemented
969#461C22×C8311yescharacteristic
970#461C22×C8311yescharacteristic
971#461C22×C8311yescharacteristic, complemented
972#461C22×C8311yescharacteristic, complemented
973#460C22×C8311yescharacteristic
974#460C22×C8311yescharacteristic
975#460C22×C8311yescharacteristic
976#459C22×C8311yescharacteristic
977#452C22×C8311yescharacteristic
978#452C22×C8311yescharacteristic
979#452C22×C8311yescharacteristic
980#451C22×C8311yescharacteristic
981#451C22×C8311yescharacteristic
982#451C22×C8311yescharacteristic
983#450C22×C8311yescharacteristic
984#450C22×C8311yescharacteristic
985#450C22×C8311yescharacteristic
986#449C22×C8311yescharacteristic
987#448C22×C8311yescharacteristic
988#447C22×C8311yescharacteristic
989#446C22×C8311yescharacteristic, complemented
990#446C22×C8311yescharacteristic, complemented
991#446C22×C8311yescharacteristic, complemented
992#446C22×C8311yescharacteristic, complemented
993#446C22×C8311yescharacteristic, complemented
994#446C22×C8311yescharacteristic, complemented
995C8×Q8C22×C8311yescharacteristic, complemented
996C8×Q8C22×C8311yescharacteristic, complemented
997#442C22×C8311yescharacteristic
998#442C22×C8311yescharacteristic, complemented
999#441C22×C8311yescharacteristic, complemented
1000#441C22×C8311yescharacteristic, complemented
1001#441C22×C8311yescharacteristic, complemented
1002#441C22×C8311yescharacteristic, complemented
1003#440C22×C8311yescharacteristic
1004#440C22×C8311yescharacteristic
1005#440C22×C8311yescharacteristic
1006#440C22×C8311yescharacteristic, complemented
1007#440C22×C8311yescharacteristic, complemented
1008#440C22×C8311yescharacteristic, complemented
1009C4×Q16C22×C8311yescharacteristic, complemented
1010C4×Q16C22×C8311yescharacteristic, complemented
1011C4×Q16C22×C8311yescharacteristic, complemented
1012C4×Q16C22×C8311yescharacteristic, complemented
1013C4×Q16C22×C8311yescharacteristic, complemented
1014C4×SD16C22×C8311yescharacteristic
1015C4×SD16C22×C8311yescharacteristic
1016C4×SD16C22×C8311yescharacteristic
1017C4×SD16C22×C8311yescharacteristic, complemented
1018C4×SD16C22×C8311yescharacteristic, complemented
1019C4×SD16C22×C8311yescharacteristic, complemented
1020C4×D8C22×C8311yescharacteristic
1021#433C22×C8311yescharacteristic
1022#433C22×C8311yescharacteristic
1023#433C22×C8311yescharacteristic
1024#433C22×C8311yescharacteristic
1025#432C22×C8311yescharacteristic
1026#431C22×C8311yescharacteristic
1027C2×#41C23×C8311yescharacteristic
1028C22×Q8C23×C8311yescharacteristic
1029C22×D4C23×C8311yescharacteristic
1030C2×Q16C23×C8311yescharacteristic
1031C2×Q16C23×C8311yescharacteristic
1032C2×Q16C23×C8311yescharacteristic
1033C2×Q16C23×C8311yescharacteristic
1034C2×Q16C23×C8311yescharacteristic
1035C2×Q16C23×C8311yescharacteristic
1036C2×Q16C23×C8311yescharacteristic
1037C2×Q16C23×C8311yescharacteristic
1038C2×Q16C23×C8311yescharacteristic
1039C2×SD16C23×C8311yescharacteristic
1040C2×SD16C23×C8311yescharacteristic
1041C2×SD16C23×C8311yescharacteristic
1042C2×SD16C23×C8311yescharacteristic
1043C2×SD16C23×C8311yescharacteristic
1044C2×SD16C23×C8311yescharacteristic
1045C2×SD16C23×C8311yescharacteristic
1046C2×SD16C23×C8311yescharacteristic
1047C2×SD16C23×C8311yescharacteristic
1048C2×SD16C23×C8311yescharacteristic
1049C2×SD16C23×C8311yescharacteristic
1050C2×SD16C23×C8311yescharacteristic
1051C2×D8C23×C8311yescharacteristic
1052C2×D8C23×C8311yescharacteristic
1053C2×D8C23×C8311yescharacteristic
1054C4⋊Q8—21no—
1055C4⋊Q8—21no—
1056C4⋊Q8—21no—
1057C4⋊Q8—21no—
1058C4⋊Q8—21no—
1059C4⋊Q8D4×C8311yescharacteristic
1060C4⋊Q8D4×C8311yescharacteristic
1061C4⋊Q8C23×C8311yescharacteristic
1062C4⋊Q8C23×C8311yescharacteristic
1063C4⋊Q8C23×C8311yescharacteristic
1064C4⋊Q8C23×C8311yescharacteristic
1065C4⋊Q8C23×C8311yescharacteristic
1066C4⋊Q8C23×C8311yescharacteristic
1067C4⋊Q8C23×C8311yescharacteristic
1068C4⋊Q8C23×C8311yescharacteristic
1069#127C23×C8311yescharacteristic
1070#127C23×C8311yescharacteristic
1071#126—21no—
1072#126—21no—
1073#126—21no—
1074#126—21no—
1075#126—21no—
1076#126—21no—
1077#126—21no—
1078#126—21no—
1079#126—21no—
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#125—21no—
1093#125—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#125—21no—
1103#125—21no—
1104#125D4×C8311yescharacteristic
1105#125D4×C8311yescharacteristic
1106#125C23×C8311yescharacteristic
1107#125C23×C8311yescharacteristic
1108#125C23×C8311yescharacteristic
1109#124—21no—
1110#124—21no—
1111#124—21no—
1112#124—21no—
1113#124—21no—
1114#124—21no—
1115#124—21no—
1116#124—21no—
1117#124C23×C8311yescharacteristic
1118#124C23×C8311yescharacteristic
1119#124C23×C8311yescharacteristic
1120#124C23×C8311yescharacteristic
1121#124C23×C8311yescharacteristic
1122#124C23×C8311yescharacteristic
1123#124C23×C8311yescharacteristic
1124#124C23×C8311yescharacteristic
1125#124C23×C8311yescharacteristic
1126#124C23×C8311yescharacteristic
1127#124C23×C8311yescharacteristic
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—
1137#123—21no—
1138#123—21no—
1139#123—21no—
1140#123—21no—
1141C22⋊Q8—21no—
1142C22⋊Q8—21no—
1143C22⋊Q8—21no—
1144C22⋊Q8—21no—
1145C22⋊Q8—21no—
1146C22⋊Q8—21no—
1147C22⋊Q8—21no—
1148C22⋊Q8—21no—
1149C22⋊Q8—21no—
1150C22⋊Q8—21no—
1151C22⋊Q8—21no—
1152C22⋊Q8—21no—
1153C22⋊Q8—21no—
1154C22⋊Q8—21no—
1155C22⋊Q8—21no—
1156C22⋊Q8D4×C8311yescharacteristic
1157C22⋊Q8D4×C8311yescharacteristic
1158C22⋊Q8D4×C8311yescharacteristic
1159C22⋊Q8D4×C8311yescharacteristic
1160C22⋊Q8C23×C8311yescharacteristic
1161C22⋊Q8C23×C8311yescharacteristic
1162C22⋊Q8C23×C8311yescharacteristic
1163#121—21no—
1164#121—21no—
1165#121C23×C8311yescharacteristic
1166#120—21no—
1167#120—21no—
1168C4×Q8—21no—
1169C4×Q8—21no—
1170C4×Q8—21no—
1171C4×Q8—21no—
1172C4×Q8—21no—
1173C4×Q8—21no—
1174C4×Q8—21no—
1175C4×Q8C23×C8311yescharacteristic
1176C4×Q8C23×C8311yescharacteristic
1177C4×Q8C23×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×Q8C23×C8311yescharacteristic
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×D4C23×C8311yescharacteristic
1204C4×D4C23×C8311yescharacteristic
1205C4×D4C23×C8311yescharacteristic
1206C4×D4C23×C8311yescharacteristic
1207C4×D4C23×C8311yescharacteristic
1208C4×D4C23×C8311yescharacteristic
1209C4×D4C23×C8311yescharacteristic
1210C4×D4C23×C8311yescharacteristic
1211C4×D4C23×C8311yescharacteristic
1212#117—21no—
1213#117—21no—
1214#117—21no—
1215#117—21no—
1216#117—21no—
1217#117—21no—
1218#117—21no—
1219#117—21no—
1220#117—21no—
1221#117—21no—
1222#117—21no—
1223#117—21no—
1224#117C23×C8311yescharacteristic
1225#117C23×C8311yescharacteristic
1226#117C23×C8311yescharacteristic
1227C2×C4⋊C4—21no—
1228C2×C22⋊C4—21no—
1229C2×C22⋊C4—21no—
1230C2×C22⋊C4—21no—
1231C2×C22⋊C4—21no—
1232C2×C42—21no—
1233C2×C42C23×C8311yescharacteristic
1234#107C23×C8311yescharacteristic
1235#107C23×C8311yescharacteristic
1236#107C23×C8311yescharacteristic
1237#107C23×C8311yescharacteristic
1238#106C23×C8311yescharacteristic
1239#106C23×C8311yescharacteristic
1240#106C23×C8311yescharacteristic
1241#106C23×C8311yescharacteristic
1242C4⋊C8C23×C8311yescharacteristic
1243C4⋊C8C23×C8311yescharacteristic
1244C4⋊C8C23×C8311yescharacteristic
1245C4⋊C8C23×C8311yescharacteristic
1246C4⋊C8C23×C8311yescharacteristic
1247C4⋊C8C23×C8311yescharacteristic
1248C4⋊C8C23×C8311yescharacteristic
1249C4⋊C8C23×C8311yescharacteristic
1250C4⋊C8C23×C8311yescharacteristic
1251C4⋊C8C23×C8311yescharacteristic
1252C4⋊C8C23×C8311yescharacteristic
1253C4⋊C8C23×C8311yescharacteristic
1254#103C23×C8311yescharacteristic
1255#103C23×C8311yescharacteristic
1256#103C23×C8311yescharacteristic
1257#103C23×C8311yescharacteristic
1258#103C23×C8311yescharacteristic
1259#103C23×C8311yescharacteristic
1260#103C23×C8311yescharacteristic
1261#103C23×C8311yescharacteristic
1262#103C23×C8311yescharacteristic
1263#103C23×C8311yescharacteristic
1264#103C23×C8311yescharacteristic
1265#103C23×C8311yescharacteristic
1266#103C23×C8311yescharacteristic
1267#103C23×C8311yescharacteristic
1268#103C23×C8311yescharacteristic
1269#103C23×C8311yescharacteristic
1270#103C23×C8311yescharacteristic
1271#103C23×C8311yescharacteristic
1272#102C23×C8311yescharacteristic
1273#102C23×C8311yescharacteristic
1274#102C23×C8311yescharacteristic
1275#102C23×C8311yescharacteristic
1276#102C23×C8311yescharacteristic
1277#102C23×C8311yescharacteristic
1278#102C23×C8311yescharacteristic
1279#102C23×C8311yescharacteristic
1280#102C23×C8311yescharacteristic
1281#102C23×C8311yescharacteristic
1282#102C23×C8311yescharacteristic
1283#102C23×C8311yescharacteristic
1284#102C23×C8311yescharacteristic
1285#102C23×C8311yescharacteristic
1286C22⋊C8C23×C8311yescharacteristic
1287C22⋊C8C23×C8311yescharacteristic
1288C22⋊C8C23×C8311yescharacteristic
1289C22⋊C8C23×C8311yescharacteristic
1290#97C23×C8311yescharacteristic
1291#97C23×C8311yescharacteristic
1292#97C23×C8311yescharacteristic
1293#97C23×C8311yescharacteristic
1294#97C23×C8311yescharacteristic
1295#97C23×C8311yescharacteristic
1296C4×C8C23×C8311yescharacteristic
1297C4×C8C23×C8311yescharacteristic
1298C4×C8C23×C8311yescharacteristic
1299C4×C8C23×C8311yescharacteristic
1300C4×C8C23×C8311yescharacteristic
1301C4×C8C23×C8311yescharacteristic
1302C24—21no—
1303#41—41no—
1304#41—41no—
1305C2×Q8—21no—
1306C2×Q8—21no—
1307C2×Q8—21no—
1308C2×Q8—21no—
1309C2×Q8—41no—
1310C2×Q8—41no—
1311C2×Q8C2×D4×C8311yescharacteristic
1312C2×Q8C2×D4×C8311yescharacteristic
1313C2×Q8C2×D4×C8311yescharacteristic
1314C2×Q8C2×D4×C8311yescharacteristic
1315C2×Q8C24×C8311yescharacteristic
1316C2×Q8C24×C8311yescharacteristic
1317C2×Q8C24×C8311yescharacteristic
1318C2×Q8C24×C8311yescharacteristic
1319C2×Q8C24×C8311yescharacteristic
1320C2×Q8C24×C8311yescharacteristic
1321C2×D4—21no—
1322C2×D4—21no—
1323C2×D4—21no—
1324C2×D4—21no—
1325C2×D4—21no—
1326C2×D4—21no—
1327C2×D4—21no—
1328C2×D4—41no—
1329C2×D4—41no—
1330C2×D4C24×C8311yescharacteristic
1331C2×D4C24×C8311yescharacteristic
1332C2×D4C24×C8311yescharacteristic
1333C2×D4C24×C8311yescharacteristic
1334C22×C4—21no—
1335C22×C4—21no—
1336C22×C4—21no—
1337C22×C4—21no—
1338C22×C4—21no—
1339C22×C4—21no—
1340C22×C4—21no—
1341C22×C4—21no—
1342C22×C4—21no—
1343C22×C4—21no—
1344C22×C4—21no—
1345C22×C4C2×D4×C8311yescharacteristic
1346C22×C4C2×D4×C8311yescharacteristic
1347C22×C4C24×C8311yescharacteristic
1348Q16—41no—
1349Q16—41no—
1350Q16—41no—
1351Q16—41no—
1352Q16—41no—
1353Q16—41no—
1354Q16—41no—
1355Q16—41no—
1356Q16—41no—
1357SD16—41no—
1358SD16—41no—
1359SD16—41no—
1360SD16—41no—
1361SD16—41no—
1362SD16—41no—
1363SD16—41no—
1364SD16—41no—
1365SD16—41no—
1366SD16—41no—
1367SD16—41no—
1368SD16—41no—
1369D8—41no—
1370D8—41no—
1371D8—41no—
1372C2×C8C24×C8311yescharacteristic
1373C2×C8C24×C8311yescharacteristic
1374C2×C8C24×C8311yescharacteristic
1375C2×C8C24×C8311yescharacteristic
1376C2×C8C24×C8311yescharacteristic
1377C2×C8C24×C8311yescharacteristic
1378C2×C8C24×C8311yescharacteristic
1379C2×C8C24×C8311yescharacteristic
1380C4⋊C4—21no—
1381C4⋊C4—21no—
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—21no—
1385C4⋊C4—21no—
1386C4⋊C4—21no—
1387C4⋊C4—21no—
1388C4⋊C4—21no—
1389C4⋊C4—21no—
1390C4⋊C4—21no—
1391C4⋊C4—21no—
1392C4⋊C4—21no—
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
1406C4⋊C4—21no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4C2×D4×C8311yescharacteristic
1418C4⋊C4C2×D4×C8311yescharacteristic
1419C4⋊C4C2×D4×C8311yescharacteristic
1420C4⋊C4C2×D4×C8311yescharacteristic
1421C4⋊C4C2×D4×C8311yescharacteristic
1422C4⋊C4C2×D4×C8311yescharacteristic
1423C4⋊C4C2×D4×C8311yescharacteristic
1424C4⋊C4C2×D4×C8311yescharacteristic
1425C4⋊C4C2×D4×C8311yescharacteristic
1426C4⋊C4C2×D4×C8311yescharacteristic
1427C4⋊C4C2×D4×C8311yescharacteristic
1428C4⋊C4C2×D4×C8311yescharacteristic
1429C4⋊C4C2×D4×C8311yescharacteristic
1430C4⋊C4C2×D4×C8311yescharacteristic
1431C4⋊C4C2×D4×C8311yescharacteristic
1432C4⋊C4C2×D4×C8311yescharacteristic
1433C4⋊C4C24×C8311yescharacteristic
1434C4⋊C4C24×C8311yescharacteristic
1435C4⋊C4C24×C8311yescharacteristic
1436C4⋊C4C24×C8311yescharacteristic
1437C4⋊C4C24×C8311yescharacteristic
1438C4⋊C4C24×C8311yescharacteristic
1439C22⋊C4—21no—
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—21no—
1445C22⋊C4—21no—
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4C2×D4×C8311yescharacteristic
1476C22⋊C4C2×D4×C8311yescharacteristic
1477C22⋊C4C2×D4×C8311yescharacteristic
1478C22⋊C4C2×D4×C8311yescharacteristic
1479C42—21no—
1480C42—21no—
1481C42—21no—
1482C42—21no—
1483C42—21no—
1484C42—21no—
1485C42—21no—
1486C42—21no—
1487C42—21no—
1488C42—21no—
1489C42—21no—
1490C42—21no—
1491C42—21no—
1492C42—21no—
1493C42—21no—
1494C42—21no—
1495C42C2×D4×C8311yescharacteristic
1496C42C2×D4×C8311yescharacteristic
1497C42C24×C8311yescharacteristic
1498C42C24×C8311yescharacteristic
1499C42C24×C8311yescharacteristic
1500C42C24×C8311yescharacteristic
1501C42C24×C8311yescharacteristic
1502C42C24×C8311yescharacteristic
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—42no—
1508C23—81no—
1509C23—81no—
1510C23C22×D4×C8311yescharacteristic
1511Q8—21no—
1512Q8—21no—
1513Q8—21no—
1514Q8—21no—
1515Q8—21no—
1516Q8—21no—
1517Q8—21no—
1518Q8—21no—
1519Q8—21no—
1520Q8—21no—
1521Q8—21no—
1522Q8—21no—
1523Q8—41no—
1524Q8—41no—
1525Q8—41no—
1526Q8—41no—
1527Q8—42no—
1528Q8—81no—
1529Q8—81no—
1530Q8—81no—
1531D4—21no—
1532D4—21no—
1533D4—21no—
1534D4—21no—
1535D4—21no—
1536D4—21no—
1537D4—21no—
1538D4—21no—
1539D4—42no—
1540D4—42no—
1541D4—81no—
1542D4—81no—
1543D4—81no—
1544D4—81no—
1545D4—81no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—41no—
1561C2×C4—41no—
1562C2×C4—42no—
1563C2×C4—42no—
1564C2×C4—42no—
1565C2×C4—81no—
1566C2×C4—81no—
1567C2×C4—81no—
1568C2×C4—81no—
1569C2×C4—81no—
1570C2×C4—81no—
1571C2×C4—81no—
1572C2×C4—81no—
1573C2×C4C22×D4×C8311yescharacteristic
1574C2×C4C22×D4×C8311yescharacteristic
1575C2×C4C22×D4×C8311yescharacteristic
1576C2×C4C22×D4×C8311yescharacteristic
1577C2×C4C22×D4×C8311yescharacteristic
1578C2×C4C22×D4×C8311yescharacteristic
1579C2×C4C22×D4×C8311yescharacteristic
1580C2×C4C22×D4×C8311yescharacteristic
1581C2×C4C22×D4×C8311yescharacteristic
1582C2×C4C22×D4×C8311yescharacteristic
1583C2×C4C22×D4×C8311yescharacteristic
1584C2×C4C22×D4×C8311yescharacteristic
1585C2×C4C22×D4×C8311yescharacteristic
1586C2×C4C25×C8311yescharacteristic
1587C8—21no—
1588C8—21no—
1589C8—21no—
1590C8—21no—
1591C8—21no—
1592C8—21no—
1593C8—21no—
1594C8—21no—
1595C22—21no—
1596C22—21no—
1597C22—21no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—162no—
1611C22C23×D4×C8311yescharacteristic
1612C4—21no—
1613C4—21no—
1614C4—21no—
1615C4—21no—
1616C4—21no—
1617C4—21no—
1618C4—21no—
1619C4—21no—
1620C4—21no—
1621C4—21no—
1622C4—21no—
1623C4—21no—
1624C4—21no—
1625C4—41no—
1626C4—41no—
1627C4—41no—
1628C4—41no—
1629C4—41no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4#585×C8311yescharacteristic
1638C4#585×C8311yescharacteristic
1639C2—41no—
1640C2—81no—
1641C2—81no—
1642C2—81no—
1643C2—81no—
1644C2C83×#348711yescharacteristic
1645C2C83×#358411yescharacteristic
1646C2C83×#358611yescharacteristic
subgroupG/H
center, socleC22×C83C23×D4
commutator, Frattini, cosocleC2×C4C25×C83
prime radicalC83×#3224C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C83 ◁ #533×C83 ◁ G

Complements

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

NH ≅ G/Ntype
1. C83×#3555C2semidirect
2. C83×#3510C2semidirect
3. C83×#3402C2semidirect
4. C83×#3402C2semidirect
5. C83×#3401C2semidirect
6. C83×#3401C2semidirect
7. C83×#3400C2semidirect
8. C83×#3398C2semidirect
9. C83×#3394C2semidirect
10. C83×#3393C2semidirect
11. C83×#3377C2semidirect
12. C83×#3376C2semidirect
13. C83×#3375C2semidirect
14. C83×#3371C2semidirect
15. C83×#3370C2semidirect
16. C83×#3369C2semidirect
17. C83×#3365C2semidirect
18. C83×#3364C2semidirect
19. C83×#3225C2semidirect
21. C83×#3223C2semidirect
22. C83×#3222C2semidirect
23. C83×#3215C2semidirect
24. C83×#3211C2semidirect
25. C83×#3127C2semidirect
26. C83×#3123C2semidirect
27. C83×#3121C2semidirect
28. C83×#3118C2semidirect
29. C83×#3111C2semidirect
30. C83×#3107C2semidirect
31. C83×#2985C2semidirect
38. Q82×C83C22semidirect
39. #557×C83C22semidirect
40. #557×C83C22semidirect
41. #557×C83C22semidirect
47. #556×C83C22semidirect
48. #556×C83C22semidirect
49. #556×C83C22semidirect
50. #554×C83C22semidirect
80. #497×C83C22semidirect
81. #497×C83C22semidirect
86. #495×C83C22semidirect
87. #494×C83C22semidirect
89. #491×C83C22semidirect
94. #489×C83C22semidirect
98. #488×C83C22semidirect
99. #487×C83C22semidirect
105. #479×C83C22semidirect
106. #479×C83C22semidirect
107. #479×C83C22semidirect
110. #478×C83C22semidirect
111. #477×C83C22semidirect
113. #475×C83C22semidirect
114. #475×C83C22semidirect
116. #474×C83C22semidirect
126. #464×C83C22semidirect
127. #464×C83C22semidirect
128. #464×C83C22semidirect
129. #464×C83C22semidirect
130. #464×C83C22semidirect
131. #464×C83C22semidirect
137. #463×C83C22semidirect
138. #463×C83C22semidirect
139. #462×C83C22semidirect
140. #462×C83C22semidirect
141. #462×C83C22semidirect
142. #462×C83C22semidirect
143. #462×C83C22semidirect
144. #462×C83C22semidirect
147. #461×C83C22semidirect
148. #461×C83C22semidirect
165. #446×C83C22semidirect
166. #446×C83C22semidirect
167. #446×C83C22semidirect
168. #446×C83C22semidirect
169. #446×C83C22semidirect
170. #446×C83C22semidirect
171. C8×Q8×C83C22semidirect
172. C8×Q8×C83C22semidirect
174. #442×C83C22semidirect
175. #441×C83C22semidirect
176. #441×C83C22semidirect
177. #441×C83C22semidirect
178. #441×C83C22semidirect
182. #440×C83C22semidirect
183. #440×C83C22semidirect
184. #440×C83C22semidirect
185. C4×Q16×C83C22semidirect
186. C4×Q16×C83C22semidirect
187. C4×Q16×C83C22semidirect
188. C4×Q16×C83C22semidirect
189. C4×Q16×C83C22semidirect
193. C4×SD16×C83C22semidirect
194. C4×SD16×C83C22semidirect
195. C4×SD16×C83C22semidirect
815. #61925C83direct (N × H)
824. #3555C2×C83semidirect
825. #3510C2×C83semidirect
826. #3402C2×C83semidirect
827. #3402C2×C83semidirect
828. #3401C2×C83semidirect
829. #3401C2×C83semidirect
830. #3400C2×C83semidirect
831. #3398C2×C83semidirect
832. #3394C2×C83semidirect
833. #3393C2×C83semidirect
834. #3377C2×C83semidirect
835. #3376C2×C83semidirect
836. #3375C2×C83semidirect
837. #3371C2×C83semidirect
838. #3370C2×C83semidirect
839. #3369C2×C83semidirect
840. #3365C2×C83semidirect
841. #3364C2×C83semidirect
842. #3225C2×C83semidirect
844. #3223C2×C83semidirect
845. #3222C2×C83semidirect
846. #3215C2×C83semidirect
847. #3211C2×C83semidirect
848. #3127C2×C83semidirect
849. #3123C2×C83semidirect
850. #3121C2×C83semidirect
851. #3118C2×C83semidirect
852. #3111C2×C83semidirect
853. #3107C2×C83semidirect
854. #2985C2×C83semidirect
855. C83#61925direct (N × H)
862. Q82C22×C83semidirect
863. #557C22×C83semidirect
864. #557C22×C83semidirect
865. #557C22×C83semidirect
871. #556C22×C83semidirect
872. #556C22×C83semidirect
873. #556C22×C83semidirect
874. #554C22×C83semidirect
904. #497C22×C83semidirect
905. #497C22×C83semidirect
910. #495C22×C83semidirect
911. #494C22×C83semidirect
913. #491C22×C83semidirect
918. #489C22×C83semidirect
922. #488C22×C83semidirect
923. #487C22×C83semidirect
929. #479C22×C83semidirect
930. #479C22×C83semidirect
931. #479C22×C83semidirect
934. #478C22×C83semidirect
935. #477C22×C83semidirect
937. #475C22×C83semidirect
938. #475C22×C83semidirect
940. #474C22×C83semidirect
950. #464C22×C83semidirect
951. #464C22×C83semidirect
952. #464C22×C83semidirect
953. #464C22×C83semidirect
954. #464C22×C83semidirect
955. #464C22×C83semidirect
961. #463C22×C83semidirect
962. #463C22×C83semidirect
963. #462C22×C83semidirect
964. #462C22×C83semidirect
965. #462C22×C83semidirect
966. #462C22×C83semidirect
967. #462C22×C83semidirect
968. #462C22×C83semidirect
971. #461C22×C83semidirect
972. #461C22×C83semidirect
989. #446C22×C83semidirect
990. #446C22×C83semidirect
991. #446C22×C83semidirect
992. #446C22×C83semidirect
993. #446C22×C83semidirect
994. #446C22×C83semidirect
995. C8×Q8C22×C83semidirect
996. C8×Q8C22×C83semidirect
998. #442C22×C83semidirect
999. #441C22×C83semidirect
1000. #441C22×C83semidirect
1001. #441C22×C83semidirect
1002. #441C22×C83semidirect
1006. #440C22×C83semidirect
1007. #440C22×C83semidirect
1008. #440C22×C83semidirect
1009. C4×Q16C22×C83semidirect
1010. C4×Q16C22×C83semidirect
1011. C4×Q16C22×C83semidirect
1012. C4×Q16C22×C83semidirect
1013. C4×Q16C22×C83semidirect
1017. C4×SD16C22×C83semidirect
1018. C4×SD16C22×C83semidirect
1019. C4×SD16C22×C83semidirect

Maximal subgroups

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

subgroupindex
C83×#35552
C83×#35102
C83×#34022
C83×#34012
C83×#34002
C83×#33982
C83×#33942
C83×#33932
C83×#33772
C83×#33762
C83×#33752
C83×#33712
C83×#33702
C83×#33692
C83×#33652
C83×#33642
C83×#32252
C83×#32242
C83×#32232
C83×#32222
C83×#32152
C83×#32112
C83×#31272
C83×#31232
C83×#31212
C83×#31182
C83×#31112
C83×#31072
C83×#29852
#6192583