Finite Group Databasebeta

← #3257×D83 #36277306

Subgroups — #3257×D83 #36277306

Order 21248.

1946 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#542×D83C211yesmaximal, characteristic, complemented
2#540×D83C211yesmaximal, characteristic, complemented
3#24918881C211yesmaximal, characteristic, complemented
4#24918880C211yesmaximal, characteristic, complemented
5#24918879C211yesmaximal, characteristic, complemented
6#24918878C211yesmaximal, characteristic, complemented
7#24918877C211yesmaximal, characteristic, complemented
8#24918876C211yesmaximal, characteristic, complemented
9#24918875C211yesmaximal, characteristic, complemented
10#24918874C211yesmaximal, characteristic, complemented
11#24918873C211yesmaximal, characteristic, complemented
12#24918872C211yesmaximal, characteristic, complemented
13#24918871C211yesmaximal, characteristic, complemented
14#24918870C211yesmaximal, characteristic, complemented
15#24918869C211yesmaximal, characteristic, complemented
16#24918868C211yesmaximal, characteristic, complemented
17#24918867C211yesmaximal, characteristic, complemented
18#479×D83C211yesmaximal, characteristic, complemented
19#478×D83C211yesmaximal, characteristic, complemented
20#476×D83C211yesmaximal, characteristic, complemented
21#474×D83C211yesmaximal, characteristic, complemented
22#469×D83C211yesmaximal, characteristic, complemented
23#468×D83C211yesmaximal, characteristic, complemented
24#466×D83C211yesmaximal, characteristic, complemented
25#465×D83C211yesmaximal, characteristic, complemented
26#460×D83C211yesmaximal, characteristic, complemented
27#463×D83C211yesmaximal, characteristic, complemented
28#463×D83C211yesmaximal, characteristic, complemented
29#459×D83C211yesmaximal, characteristic, complemented
30#424×D83C211yesmaximal, characteristic, complemented
31C83×#3257C211yesmaximal, characteristic, complemented
32C2×SD16×D83C2211yescharacteristic
33C2×SD16×D83C2211yescharacteristic
34C2×D8×D83C2211yescharacteristic
35C2×D8×D83C2211yescharacteristic
36C2×M16×D83C2211yescharacteristic
37C22×C8×D83C2211yescharacteristic
38#19128325C2211yescharacteristic, complemented
39#19128324C2211yescharacteristic, complemented
40#19128323C2211yescharacteristic, complemented
41#19128322C2211yescharacteristic, complemented
42#19128321—21no—
43#19128320C2211yescharacteristic, complemented
44#19128319—21no—
45#19128318C2211yescharacteristic, complemented
46#19128317—21no—
47#19128316C2211yescharacteristic, complemented
48#19128315—21no—
49#19128307C2211yescharacteristic, complemented
50#19128306C2211yescharacteristic, complemented
51#19128305C2211yescharacteristic, complemented
52#19128304C2211yescharacteristic, complemented
53#19128304C2211yescharacteristic, complemented
54#19128303—21no—
55#19128303—21no—
56#19128302C2211yescharacteristic, complemented
57#19128302C2211yescharacteristic, complemented
58#19128301—21no—
59#19128301—21no—
60C4⋊Q8×D83C2211yescharacteristic
61#127×D83C2211yescharacteristic
62#126×D83—21no—
63#125×D83C2211yescharacteristic
64#124×D83—21no—
65#124×D83C2211yescharacteristic
66#123×D83—21no—
67#123×D83—21no—
68#123×D83—21no—
69C22⋊Q8×D83—21no—
70C22⋊Q8×D83C2211yescharacteristic
71#121×D83—21no—
72#121×D83—21no—
73#121×D83C2211yescharacteristic
74#121×D83C2211yescharacteristic
75#121×D83C2211yescharacteristic
76C4×Q8×D83C2211yescharacteristic
77C4×D4×D83C2211yescharacteristic
78C4×D4×D83C2211yescharacteristic
79C4×D4×D83C2211yescharacteristic
80#117×D83C2211yescharacteristic
81#19128011C2211yescharacteristic, complemented
82#19128010C2211yescharacteristic, complemented
83#19128009C2211yescharacteristic, complemented
84#19128008C2211yescharacteristic, complemented
85#19128007C2211yescharacteristic, complemented
86#19128006C2211yescharacteristic, complemented
87#19128005C2211yescharacteristic, complemented
88#19128004C2211yescharacteristic, complemented
89#19128003C2211yescharacteristic, complemented
90#19128002C2211yescharacteristic, complemented
91#19128001C2211yescharacteristic, complemented
92#19128000C2211yescharacteristic, complemented
93#19127999C2211yescharacteristic, complemented
94#19127998C2211yescharacteristic, complemented
95#19127992C2211yescharacteristic, complemented
96#19127991C2211yescharacteristic, complemented
97#19127990C2211yescharacteristic, complemented
98#19127990C2211yescharacteristic, complemented
99#19127989C2211yescharacteristic, complemented
100#19127989C2211yescharacteristic, complemented
101#19127988C2211yescharacteristic, complemented
102#19127982C2211yescharacteristic, complemented
103#19127981C2211yescharacteristic, complemented
104#19127980C2211yescharacteristic, complemented
105#19127980C2211yescharacteristic, complemented
106#19127979C2211yescharacteristic, complemented
107#19127979C2211yescharacteristic, complemented
108#19127978C2211yescharacteristic, complemented
109#19127955C2211yescharacteristic, complemented
110#19127954C2211yescharacteristic, complemented
111#19127953C2211yescharacteristic, complemented
112#19127953C2211yescharacteristic, complemented
113#19127952C2211yescharacteristic, complemented
114#19127952C2211yescharacteristic, complemented
115#19127951C2211yescharacteristic, complemented
116#19127950C2211yescharacteristic, complemented
117#19127949C2211yescharacteristic, complemented
118#19127948C2211yescharacteristic, complemented
119#19127947C2211yescharacteristic, complemented
120#19127946C2211yescharacteristic, complemented
121#19127945C2211yescharacteristic, complemented
122#19127944C2211yescharacteristic, complemented
123#19127938C2211yescharacteristic, complemented
124#19127937C2211yescharacteristic, complemented
125#19127936C2211yescharacteristic, complemented
126#19127936C2211yescharacteristic, complemented
127#19127935C2211yescharacteristic, complemented
128#19127935C2211yescharacteristic, complemented
129#19127934C2211yescharacteristic, complemented
130#19127933C2211yescharacteristic, complemented
131#19127932C2211yescharacteristic, complemented
132#19127931C2211yescharacteristic, complemented
133#19127930C2211yescharacteristic, complemented
134#19127929C2211yescharacteristic, complemented
135#19127928C2211yescharacteristic, complemented
136#19127927C2211yescharacteristic, complemented
137#19127919C2211yescharacteristic, complemented
138#19127919C2211yescharacteristic, complemented
139#19127918C2211yescharacteristic, complemented
140#19127918C2211yescharacteristic, complemented
141#19127917C2211yescharacteristic, complemented
142#19127917C2211yescharacteristic, complemented
143#19127916C2211yescharacteristic, complemented
144#19127916C2211yescharacteristic, complemented
145#19127915C2211yescharacteristic, complemented
146#19127915C2211yescharacteristic, complemented
147#19127914C2211yescharacteristic, complemented
148#19127914C2211yescharacteristic, complemented
149#19127913C2211yescharacteristic, complemented
150#19127913C2211yescharacteristic, complemented
151#19127902C2211yescharacteristic, complemented
152#19127901C2211yescharacteristic, complemented
153#19127900C2211yescharacteristic, complemented
154#19127900C2211yescharacteristic, complemented
155#19127899C2211yescharacteristic, complemented
156#19127899C2211yescharacteristic, complemented
157#19127898C2211yescharacteristic, complemented
158#19127897C2211yescharacteristic, complemented
159#19127896C2211yescharacteristic, complemented
160#19127895C2211yescharacteristic, complemented
161#19127895C2211yescharacteristic, complemented
162#19127894C2211yescharacteristic, complemented
163#19127894C2211yescharacteristic, complemented
164#19127893C2211yescharacteristic, complemented
165#107×D83C2211yescharacteristic
166#107×D83C2211yescharacteristic
167#106×D83C2211yescharacteristic
168#106×D83C2211yescharacteristic
169#19127729C2211yescharacteristic, complemented
170#19127728C2211yescharacteristic, complemented
171#19127727C2211yescharacteristic, complemented
172#19127726C2211yescharacteristic, complemented
173#19127726C2211yescharacteristic, complemented
174#19127726C2211yescharacteristic, complemented
175#19127726C2211yescharacteristic, complemented
176C4⋊C8×D83C2211yescharacteristic
177C4⋊C8×D83C2211yescharacteristic
178C4⋊C8×D83C2211yescharacteristic
179C4⋊C8×D83C2211yescharacteristic
180#103×D83C2211yescharacteristic
181#103×D83C2211yescharacteristic
182#102×D83C2211yescharacteristic
183#102×D83C2211yescharacteristic
184#102×D83C2211yescharacteristic
185#102×D83C2211yescharacteristic
186#102×D83C2211yescharacteristic
187#102×D83C2211yescharacteristic
188#542×C83C2211yescharacteristic, complemented
189#540×C83C2211yescharacteristic, complemented
190#479×C83C2211yescharacteristic, complemented
191#478×C83C2211yescharacteristic, complemented
192#476×C83C2211yescharacteristic, complemented
193#474×C83C2211yescharacteristic, complemented
194#469×C83C2211yescharacteristic, complemented
195#468×C83C2211yescharacteristic, complemented
196#466×C83C2211yescharacteristic, complemented
197#465×C83C2211yescharacteristic, complemented
198#463×C83C2211yescharacteristic, complemented
199#463×C83C2211yescharacteristic, complemented
200#460×C83C2211yescharacteristic, complemented
201#459×C83C2211yescharacteristic, complemented
202#424×C83C2211yescharacteristic, complemented
203C2×Q8×D83—21no—
204C2×Q8×D83C2311yescharacteristic
205C2×D4×D83—21no—
206C2×D4×D83—21no—
207C2×D4×D83—21no—
208C2×D4×D83—21no—
209C2×D4×D83—21no—
210C2×D4×D83C2311yescharacteristic
211C2×D4×D83C2311yescharacteristic
212C2×D4×D83C2311yescharacteristic
213C22×C4×D83—21no—
214C22×C4×D83—21no—
215C22×C4×D83—21no—
216C22×C4×D83C2311yescharacteristic
217C2×#13050579C2311yescharacteristic
218C2×#13050579C2311yescharacteristic
219C2×#13050578C2311yescharacteristic
220C2×#13050578C2311yescharacteristic
221C2×#13050577C2311yescharacteristic
222C2×#13050577C2311yescharacteristic
223SD16×D83—42no—
224SD16×D83—42no—
225C2×D664C2311yescharacteristic
226C2×D664C2311yescharacteristic
227C2×#13050575C2311yescharacteristic
228C2×#13050575C2311yescharacteristic
229C2×#13050575C2311yescharacteristic
230C2×#13050575C2311yescharacteristic
231D8×D83—42no—
232D8×D83—42no—
233C2×#13050574C2311yescharacteristic
234C2×#13050573C2311yescharacteristic
235C2×#13050573C2311yescharacteristic
236M16×D83—42no—
237C22×C83⋊C8C2311yescharacteristic
238C2×C8×D83—42no—
239C2×C8×D83C2311yescharacteristic
240C2×C8×D83C2311yescharacteristic
241C2×C8×D83C2311yescharacteristic
242C2×C8×D83C2311yescharacteristic
243C2×C8×D83C2311yescharacteristic
244C2×C8×D83C2311yescharacteristic
245#14581792C2311yescharacteristic
246#14581791—21no—
247#14581791C2311yescharacteristic
248#14581791C2311yescharacteristic
249#14581790—21no—
250#14581789C2311yescharacteristic
251#14581788—21no—
252#14581788—21no—
253#14581788C2311yescharacteristic
254#14581788C2311yescharacteristic
255#14581787—21no—
256#14581787—21no—
257#14581787—21no—
258#14581786—21no—
259#14581785—21no—
260#14581785—21no—
261#14581785—21no—
262#14581784C2311yescharacteristic
263#14581783C2311yescharacteristic
264#14581783C2311yescharacteristic
265#14581782—21no—
266#14581782—21no—
267#14581781—21no—
268#14581781C2311yescharacteristic
269#14581780—21no—
270#14581780C2311yescharacteristic
271#14581779—21no—
272#14581779C2311yescharacteristic
273#14581778—21no—
274#14581778—21no—
275#14581778—21no—
276#14581778—21no—
277#14581778—21no—
278#14581778—21no—
279#14581777—21no—
280#14581777—21no—
281#14581777—21no—
282#14581777—21no—
283#14581777—21no—
284#14581777—21no—
285#14581776—21no—
286#14581776—21no—
287#14581776—21no—
288#14581775—21no—
289#14581775—21no—
290#14581775—21no—
291#14581774—21no—
292#14581774—21no—
293#14581774—21no—
294#14581774—21no—
295#14581774—21no—
296#14581774—21no—
297#14581773—21no—
298#14581773—21no—
299#14581773—21no—
300#14581772—21no—
301#14581772C2311yescharacteristic
302#14581771—21no—
303#14581771C2311yescharacteristic
304#14581770—21no—
305#14581770—21no—
306#14581770—21no—
307#14581769—21no—
308#14581769—21no—
309#14581769—21no—
310#14581768—21no—
311#14581768C2311yescharacteristic
312#14581767—21no—
313#14581767—21no—
314#14581767C2311yescharacteristic
315#14581767C2311yescharacteristic
316#14581767C2311yescharacteristic
317#14581766—21no—
318#14581766—21no—
319#14581766C2311yescharacteristic
320#14581766C2311yescharacteristic
321#14581766C2311yescharacteristic
322#14581765—21no—
323#14581765—21no—
324#14581765—21no—
325#14581765—21no—
326#14581765—21no—
327#14581765—21no—
328#14581765—21no—
329#14581764—21no—
330#14581764—21no—
331#14581764—21no—
332#14581764—21no—
333#14581764—21no—
334#14581764—21no—
335#14581764—21no—
336#14581763—21no—
337#14581763—21no—
338#14581763C2311yescharacteristic
339#14581763C2311yescharacteristic
340#14581763C2311yescharacteristic
341Q8×Dic83C2311yescharacteristic
342C4×Dic166—21no—
343C4×Dic166C2311yescharacteristic
344#14581757—21no—
345#14581757C2311yescharacteristic
346C4×D332C2311yescharacteristic
347C4×D332C2311yescharacteristic
348C4×D332C2311yescharacteristic
349D4×Dic83C2311yescharacteristic
350D4×Dic83C2311yescharacteristic
351D4×Dic83C2311yescharacteristic
352#14581754C2311yescharacteristic
353#14581754C2311yescharacteristic
354#14581754C2311yescharacteristic
355C4×C22⋊D83—21no—
356C4×C22⋊D83—21no—
357C4×C22⋊D83—21no—
358(C22⋊D83)⋊C4—21no—
359(C22⋊D83)⋊C4—21no—
360(C22⋊D83)⋊C4—21no—
361#14581751C2311yescharacteristic
362#14581750D411yescharacteristic
363#14581750D411yescharacteristic
364#14581749C2311yescharacteristic
365#14581749C2311yescharacteristic
366#14581748D411yescharacteristic
367#14581748D411yescharacteristic
368C4⋊C4×D83—21no—
369C4⋊C4×D83—21no—
370C4⋊C4×D83—21no—
371C4⋊C4×D83—21no—
372C4⋊C4×D83—21no—
373C4⋊C4×D83D411yescharacteristic
374C4⋊C4×D83D411yescharacteristic
375C4⋊C4×D83C2311yescharacteristic
376C4⋊C4×D83C2311yescharacteristic
377C4⋊C4×D83C2311yescharacteristic
378C4⋊C4×D83C2311yescharacteristic
379C22⋊C4×D83—21no—
380C22⋊C4×D83—21no—
381C22⋊C4×D83—21no—
382C22⋊C4×D83—21no—
383C22⋊C4×D83—21no—
384C22⋊C4×D83—21no—
385C22⋊C4×D83—21no—
386C22⋊C4×D83—21no—
387C22⋊C4×D83—21no—
388C22⋊C4×D83D411yescharacteristic
389C22⋊C4×D83D411yescharacteristic
390C42×D83—21no—
391C42×D83C2311yescharacteristic
392C42×D83C2311yescharacteristic
393#14581726C2311yescharacteristic
394#14581726C2311yescharacteristic
395#14581725C2311yescharacteristic
396#14581725C2311yescharacteristic
397#14581725C2311yescharacteristic
398#14581725C2311yescharacteristic
399#14581724C2311yescharacteristic
400#14581724C2311yescharacteristic
401#14581723C2311yescharacteristic
402#14581723C2311yescharacteristic
403#14581723C2311yescharacteristic
404#14581723C2311yescharacteristic
405C4⋊(C83⋊C8)C2311yescharacteristic
406C4⋊(C83⋊C8)C2311yescharacteristic
407C4⋊(C83⋊C8)C2311yescharacteristic
408C4⋊(C83⋊C8)C2311yescharacteristic
409Dic83⋊C8C2311yescharacteristic
410Dic83⋊C8C2311yescharacteristic
411Dic83⋊C8C2311yescharacteristic
412Dic83⋊C8C2311yescharacteristic
413Dic83⋊C8C2311yescharacteristic
414Dic83⋊C8C2311yescharacteristic
415Dic83⋊C8C2311yescharacteristic
416Dic83⋊C8C2311yescharacteristic
417#14581717C2311yescharacteristic
418#14581717C2311yescharacteristic
419#14581716C2311yescharacteristic
420#14581716C2311yescharacteristic
421#14581715C2311yescharacteristic
422#14581715C2311yescharacteristic
423#14581714C2311yescharacteristic
424#14581714C2311yescharacteristic
425#14581714C2311yescharacteristic
426#14581714C2311yescharacteristic
427#14581714C2311yescharacteristic
428#14581714C2311yescharacteristic
429#14581713C2311yescharacteristic
430#14581713C2311yescharacteristic
431#14581713C2311yescharacteristic
432#14581713C2311yescharacteristic
433#14581713C2311yescharacteristic
434#14581713C2311yescharacteristic
435#14581712C2311yescharacteristic
436#14581712C2311yescharacteristic
437#14581712C2311yescharacteristic
438#14581712C2311yescharacteristic
439#14581712C2311yescharacteristic
440#14581712C2311yescharacteristic
441C2×SD16×C83C2311yescharacteristic
442C2×SD16×C83C2311yescharacteristic
443C2×D8×C83C2311yescharacteristic
444C2×D8×C83C2311yescharacteristic
445C2×M16×C83C2311yescharacteristic
446C22×C8×C83C2311yescharacteristic
447C4⋊Q8×C83C2311yescharacteristic
448#127×C83C2311yescharacteristic
449#126×C83—21no—
450#125×C83C2311yescharacteristic
451#124×C83—21no—
452#124×C83C2311yescharacteristic
453#123×C83—21no—
454#123×C83—21no—
455#123×C83—21no—
456C22⋊Q8×C83—21no—
457C22⋊Q8×C83C2311yescharacteristic
458#121×C83—21no—
459#121×C83—21no—
460#121×C83C2311yescharacteristic
461#121×C83C2311yescharacteristic
462#121×C83C2311yescharacteristic
463C4×Q8×C83C2311yescharacteristic
464C4×D4×C83C2311yescharacteristic
465C4×D4×C83C2311yescharacteristic
466C4×D4×C83C2311yescharacteristic
467#117×C83C2311yescharacteristic
468#107×C83C2311yescharacteristic
469#107×C83C2311yescharacteristic
470#106×C83C2311yescharacteristic
471#106×C83C2311yescharacteristic
472C4⋊C8×C83C2311yescharacteristic
473C4⋊C8×C83C2311yescharacteristic
474C4⋊C8×C83C2311yescharacteristic
475C4⋊C8×C83C2311yescharacteristic
476#103×C83C2311yescharacteristic
477#103×C83C2311yescharacteristic
478#102×C83C2311yescharacteristic
479#102×C83C2311yescharacteristic
480#102×C83C2311yescharacteristic
481#102×C83C2311yescharacteristic
482#102×C83C2311yescharacteristic
483#102×C83C2311yescharacteristic
484C23×D83—21no—
485C23×D83—21no—
486C23×D83—21no—
487C23×D83C2×D411yescharacteristic
488C2×Dic166—21no—
489C2×Dic166—21no—
490C2×Dic166—21no—
491C2×Dic166—21no—
492C2×Dic166C2411yescharacteristic
493Q8×D83—22no—
494Q8×D83—22no—
495Q8×D83—82no—
496C2×D332—21no—
497C2×D332—21no—
498C2×D332—21no—
499C2×D332—21no—
500C2×D332—21no—
501C2×D332C2411yescharacteristic
502C2×D332C2411yescharacteristic
503C2×D332C2411yescharacteristic
504C2×C22⋊D83—21no—
505C2×C22⋊D83—21no—
506C2×C22⋊D83—21no—
507C2×C22⋊D83—21no—
508C2×C22⋊D83—21no—
509C2×C22⋊D83—21no—
510C2×C22⋊D83—21no—
511C2×C22⋊D83—21no—
512C2×C22⋊D83—21no—
513C2×C22⋊D83—21no—
514C2×C22⋊D83—21no—
515C2×C22⋊D83—21no—
516C2×C22⋊D83—21no—
517D4×D83—22no—
518D4×D83—22no—
519D4×D83—22no—
520D4×D83—22no—
521D4×D83—22no—
522D4×D83—22no—
523D4×D83—82no—
524D4×D83—82no—
525D4×D83—82no—
526D4×D83—82no—
527D4×D83—82no—
528C22×Dic83—21no—
529C22×Dic83—21no—
530C22×Dic83—21no—
531C22×Dic83C2×D411yescharacteristic
532C2×C4×D83—22no—
533C2×C4×D83—22no—
534C2×C4×D83—21no—
535C2×C4×D83—21no—
536C2×C4×D83—21no—
537C2×C4×D83—21no—
538C2×C4×D83—21no—
539C2×C4×D83—21no—
540C2×C4×D83—21no—
541C2×C4×D83—21no—
542C2×C4×D83—21no—
543C2×C4×D83—21no—
544C2×C4×D83—21no—
545C2×C4×D83—82no—
546C2×C4×D83—82no—
547C2×C4×D83—82no—
548C2×C4×D83C2×D411yescharacteristic
549C2×C4×D83C2×D411yescharacteristic
550C2×C4×D83C2×D411yescharacteristic
551C2×C4×D83C2×D411yescharacteristic
552C2×C4×D83C2×D411yescharacteristic
553C2×C4×D83C2×D411yescharacteristic
554C2×C4×D83C2411yescharacteristic
555C2×C4×D83C2411yescharacteristic
556#13050579—41no—
557#13050579—41no—
558#13050578—41no—
559#13050578—41no—
560#13050577—41no—
561#13050577—41no—
562D664—41no—
563D664—41no—
564#13050575—41no—
565#13050575—41no—
566#13050575—41no—
567#13050575—41no—
568#13050574—41no—
569#13050573—41no—
570#13050573—41no—
571C2×C83⋊C8—41no—
572C2×C83⋊C8C2411yescharacteristic
573C2×C83⋊C8C2411yescharacteristic
574C2×C83⋊C8C2411yescharacteristic
575C2×C83⋊C8C2411yescharacteristic
576C8×D83—22no—
577C8×D83—22no—
578C8×D83—22no—
579C8×D83—22no—
580C8×D83—41no—
581C8×D83—41no—
582C4⋊Dic83—21no—
583C4⋊Dic83—21no—
584C4⋊Dic83—21no—
585C4⋊Dic83—21no—
586C4⋊Dic83—21no—
587C4⋊Dic83C2×D411yescharacteristic
588C4⋊Dic83C2×D411yescharacteristic
589C4⋊Dic83C2411yescharacteristic
590C4⋊Dic83C2411yescharacteristic
591C4⋊Dic83C2411yescharacteristic
592C4⋊Dic83C2411yescharacteristic
593Dic83⋊C4—21no—
594Dic83⋊C4—21no—
595Dic83⋊C4—21no—
596Dic83⋊C4—21no—
597Dic83⋊C4—21no—
598Dic83⋊C4—21no—
599Dic83⋊C4—21no—
600Dic83⋊C4—21no—
601Dic83⋊C4—21no—
602Dic83⋊C4—21no—
603Dic83⋊C4—21no—
604Dic83⋊C4—21no—
605Dic83⋊C4—21no—
606Dic83⋊C4—21no—
607Dic83⋊C4C2×D411yescharacteristic
608Dic83⋊C4C2×D411yescharacteristic
609Dic83⋊C4C2×D411yescharacteristic
610Dic83⋊C4C2×D411yescharacteristic
611C22⋊Dic83—21no—
612C22⋊Dic83—21no—
613C22⋊Dic83—21no—
614C22⋊Dic83—21no—
615C22⋊Dic83—21no—
616C22⋊Dic83—21no—
617C22⋊Dic83—21no—
618C22⋊Dic83—21no—
619C22⋊Dic83—21no—
620C22⋊Dic83C2×D411yescharacteristic
621C22⋊Dic83C2×D411yescharacteristic
622(C2×D83)⋊C4—21no—
623(C2×D83)⋊C4—21no—
624(C2×D83)⋊C4—21no—
625(C2×D83)⋊C4—21no—
626(C2×D83)⋊C4—21no—
627(C2×D83)⋊C4—21no—
628(C2×D83)⋊C4—21no—
629(C2×D83)⋊C4—21no—
630(C2×D83)⋊C4—21no—
631(C2×D83)⋊C4—21no—
632(C2×D83)⋊C4—21no—
633(C2×D83)⋊C4—21no—
634(C2×D83)⋊C4—21no—
635(C2×D83)⋊C4—21no—
636(C2×D83)⋊C4—21no—
637(C2×D83)⋊C4—21no—
638(C2×D83)⋊C4—21no—
639(C2×D83)⋊C4—21no—
640(C2×D83)⋊C4C2×D411yescharacteristic
641(C2×D83)⋊C4C2×D411yescharacteristic
642(C2×D83)⋊C4C2×D411yescharacteristic
643(C2×D83)⋊C4C2×D411yescharacteristic
644C4×Dic83—21no—
645C4×Dic83—21no—
646C4×Dic83—21no—
647C4×Dic83C2×D411yescharacteristic
648C4×Dic83C2×D411yescharacteristic
649C4×Dic83C2×D411yescharacteristic
650C4×Dic83C2×D411yescharacteristic
651C4×Dic83C2411yescharacteristic
652C4×Dic83C2411yescharacteristic
653C2×Q8×C83—21no—
654C2×Q8×C83C2411yescharacteristic
655C2×D4×C83—21no—
656C2×D4×C83—21no—
657C2×D4×C83—21no—
658C2×D4×C83—21no—
659C2×D4×C83—21no—
660C2×D4×C83C2411yescharacteristic
661C2×D4×C83C2411yescharacteristic
662C2×D4×C83C2411yescharacteristic
663C22×C4×C83—21no—
664C22×C4×C83—21no—
665C22×C4×C83—21no—
666C22×C4×C83C2411yescharacteristic
667SD16×C83—41no—
668SD16×C83—41no—
669D8×C83—41no—
670D8×C83—41no—
671M16×C83—41no—
672C2×C8×C83—41no—
673C2×C8×C83C2411yescharacteristic
674C2×C8×C83C2411yescharacteristic
675C2×C8×C83C2411yescharacteristic
676C2×C8×C83C2411yescharacteristic
677C4⋊C4×C83—21no—
678C4⋊C4×C83—21no—
679C4⋊C4×C83—21no—
680C4⋊C4×C83—21no—
681C4⋊C4×C83—21no—
682C4⋊C4×C83C2×D411yescharacteristic
683C4⋊C4×C83C2×D411yescharacteristic
684C4⋊C4×C83C2411yescharacteristic
685C4⋊C4×C83C2411yescharacteristic
686C4⋊C4×C83C2411yescharacteristic
687C4⋊C4×C83C2411yescharacteristic
688C22⋊C4×C83—21no—
689C22⋊C4×C83—21no—
690C22⋊C4×C83—21no—
691C22⋊C4×C83—21no—
692C22⋊C4×C83—21no—
693C22⋊C4×C83—21no—
694C22⋊C4×C83—21no—
695C22⋊C4×C83—21no—
696C22⋊C4×C83—21no—
697C22⋊C4×C83C2×D411yescharacteristic
698C22⋊C4×C83C2×D411yescharacteristic
699C42×C83—21no—
700C42×C83C2411yescharacteristic
701C42×C83C2411yescharacteristic
702C23×C83—21no—
703C23×C83—21no—
704C23×C83—21no—
705C23×C83C22×D411yescharacteristic
706C22×D83—22no—
707C22×D83—22no—
708C22×D83—22no—
709C22×D83—21no—
710C22×D83—21no—
711C22×D83—21no—
712C22×D83—42no—
713C22×D83—42no—
714C22×D83—42no—
715C22×D83—42no—
716C22×D83—42no—
717C22×D83—42no—
718C22×D83—42no—
719C22×D83—42no—
720C22×D83—42no—
721C22×D83C22×D411yescharacteristic
722C22×D83C22×D411yescharacteristic
723Q8×C83—21no—
724Q8×C83—21no—
725Q8×C83—81no—
726D4×C83—21no—
727D4×C83—21no—
728D4×C83—21no—
729D4×C83—21no—
730D4×C83—21no—
731D4×C83—21no—
732D4×C83—81no—
733D4×C83—81no—
734D4×C83—81no—
735D4×C83—81no—
736D4×C83—81no—
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—81no—
745C2×C4×C83—81no—
746C2×C4×C83—81no—
747C2×C4×C83C22×D411yescharacteristic
748C2×C4×C83C22×D411yescharacteristic
749C2×C4×C83C22×D411yescharacteristic
750C2×C4×C83C22×D411yescharacteristic
751C2×C4×C83C22×D411yescharacteristic
752C2×C4×C83C2511yescharacteristic
753C22⋊D83—42no—
754C22⋊D83—42no—
755C22⋊D83—42no—
756C22⋊D83—81no—
757C22⋊D83—81no—
758C22⋊D83—81no—
759C22⋊D83—81no—
760C22⋊D83—81no—
761C22⋊D83—81no—
762C22⋊D83—81no—
763C22⋊D83—81no—
764C22⋊D83—81no—
765C22⋊D83—81no—
766C2×Dic83—22no—
767C2×Dic83—21no—
768C2×Dic83—21no—
769C2×Dic83—21no—
770C2×Dic83—21no—
771C2×Dic83—21no—
772C2×Dic83—81no—
773C2×Dic83—81no—
774C2×Dic83—81no—
775C2×Dic83C22×D411yescharacteristic
776C2×Dic83C22×D411yescharacteristic
777C2×Dic83C22×D411yescharacteristic
778C2×Dic83C22×D411yescharacteristic
779C2×Dic83C22×D411yescharacteristic
780C2×Dic83C22×D411yescharacteristic
781D332—21no—
782D332—21no—
783D332—21no—
784D332—21no—
785D332—21no—
786D332—21no—
787D332—81no—
788D332—81no—
789D332—81no—
790D332—81no—
791D332—81no—
792C4×D83—22no—
793C4×D83—22no—
794C4×D83—22no—
795C4×D83—22no—
796C4×D83—22no—
797C4×D83—21no—
798C4×D83—21no—
799C4×D83—22no—
800C4×D83—42no—
801C4×D83—42no—
802C4×D83—42no—
803C4×D83—42no—
804C4×D83—42no—
805C4×D83—81no—
806C4×D83—81no—
807C4×D83—81no—
808C4×D83—81no—
809C4×D83—81no—
810C4×D83—81no—
811C4×D83H(5,𝔽2)12yes—
812C4×D832−1+412yes—
813Dic166—21no—
814Dic166—21no—
815Dic166—42no—
816Dic166—81no—
817Dic166—81no—
818Dic166—81no—
819C8×C83—21no—
820C8×C83—21no—
821C8×C83—21no—
822C8×C83—21no—
823C83⋊C8—21no—
824C83⋊C8—21no—
825C83⋊C8—21no—
826C83⋊C8—21no—
827C22×C83—21no—
828C22×C83—21no—
829C22×C83—21no—
830C22×C83—41no—
831C22×C83—41no—
832C22×C83—41no—
833C22×C83—41no—
834C22×C83—41no—
835C22×C83—41no—
836C22×C83—41no—
837C22×C83—41no—
838C22×C83—41no—
839C22×C83C23×D411yescharacteristic
840C2×D83—21no—
841C2×D83—21no—
842C2×D83—21no—
843C2×D83—44no—
844C2×D83—41no—
845C2×D83—41no—
846C2×D83—41no—
847C2×D83—41no—
848C2×D83—41no—
849C2×D83—41no—
850C2×D83—41no—
851C2×D83—41no—
852C2×D83—41no—
853C2×D83—84no—
854C2×D83—84no—
855C2×D83—84no—
856C2×D83#53712yes—
857C2×D83#57612yes—
858C2×D83#57712yes—
859C4×C83—21no—
860C4×C83—21no—
861C4×C83—21no—
862C4×C83—21no—
863C4×C83—21no—
864C4×C83—41no—
865C4×C83—41no—
866C4×C83—41no—
867C4×C83—41no—
868C4×C83—41no—
869C4×C83C2×H(5,𝔽2)11yescharacteristic
870C4×C83C2×2−1+411yescharacteristic
871Dic83—21no—
872Dic83—21no—
873Dic83—21no—
874Dic83—21no—
875Dic83—21no—
876Dic83—41no—
877Dic83—41no—
878Dic83—41no—
879Dic83—41no—
880Dic83—41no—
881Dic83#53712yes—
882C2×#3257—831nomaximal, Sylow
883C2×C83—41no—
884C2×C83—81no—
885C2×C83—81no—
886C2×C83—81no—
887C2×C83C2×#53711yescharacteristic
888C2×C83C2×#57611yescharacteristic
889C2×C83C2×#57711yescharacteristic
890D83—41no—
891D83—81no—
892D83—81no—
893D83—81no—
894D83#325714yesdirect product factor
895C2×#542—831no—
896C2×#540—831no—
897#3257—831no—
898#3257—831no—
899#3257—831no—
900#3257—831no—
901#3257—831no—
902#3257—831no—
903#3257—831no—
904#3257—831no—
905#3257—831no—
906#3257—831no—
907#3257—831no—
908#3257—831no—
909#3257—831no—
910#3257—831no—
911#3257—831no—
912#3257D8311yescharacteristic, direct product factor
913C2×#479—831no—
914C2×#478—831no—
915C2×#476—831no—
916C2×#474—831no—
917C2×#469—831no—
918C2×#468—831no—
919C2×#466—831no—
920C2×#465—831no—
921C2×#460—831no—
922C2×#463—831no—
923C2×#463—831no—
924C2×#459—831no—
925C2×#424—831no—
926C83C2×#325711yescharacteristic, complemented, Sylow
927C22×SD16—831no—
928C22×SD16—831no—
929C22×D8—831no—
930C22×D8—831no—
931C22×M16—831no—
932C23×C8—831no—
933#542—831no—
934#542—831no—
935#542—831no—
936#542—831no—
937#542—831no—
938#542—831no—
939#542—831no—
940#542—1661no—
941#542—1661no—
942#542—1661no—
943#542—1661no—
944#542C2×D8311yescharacteristic, complemented
945#540—831no—
946#540—831no—
947#540—831no—
948#540—831no—
949#540—831no—
950#540—831no—
951#540—831no—
952#540—1661no—
953#540—1661no—
954#540—1661no—
955#540—1661no—
956#540C2×D8311yescharacteristic, complemented
957C2×C4⋊Q8—831no—
958C2×#127—831no—
959C2×#126—1661no—
960C2×#125—831no—
961C2×#124—831no—
962C2×#124—1661no—
963C2×#123—1661no—
964C2×#123—1661no—
965C2×#123—1661no—
966C2×C22⋊Q8—831no—
967C2×C22⋊Q8—1661no—
968C2×#121—831no—
969C2×#121—831no—
970C2×#121—831no—
971C2×#121—1661no—
972C2×#121—1661no—
973C2×C4×Q8—831no—
974C2×C4×D4—831no—
975C2×C4×D4—831no—
976C2×C4×D4—831no—
977C2×#117—831no—
978#479—831no—
979#479—831no—
980#479—831no—
981#479—831no—
982#479—831no—
983#479—831no—
984#479—831no—
985#479C2×D8311yescharacteristic, complemented
986#478—831no—
987#478—831no—
988#478—831no—
989#478—831no—
990#478—831no—
991#478—831no—
992#478—831no—
993#478C2×D8311yescharacteristic, complemented
994#476—831no—
995#476—831no—
996#476—831no—
997#476—831no—
998#476—831no—
999#476—831no—
1000#476—831no—
1001#476C2×D8311yescharacteristic, complemented
1002#474—831no—
1003#474—831no—
1004#474—831no—
1005#474—831no—
1006#474—831no—
1007#474—831no—
1008#474—831no—
1009#474C2×D8311yescharacteristic, complemented
1010#469—831no—
1011#469—831no—
1012#469—831no—
1013#469—831no—
1014#469—831no—
1015#469—831no—
1016#469—831no—
1017#469C2×D8311yescharacteristic, complemented
1018#468—831no—
1019#468—831no—
1020#468—831no—
1021#468—831no—
1022#468—831no—
1023#468—831no—
1024#468—831no—
1025#468C2×D8311yescharacteristic, complemented
1026#466—831no—
1027#466—831no—
1028#466—831no—
1029#466—831no—
1030#466—831no—
1031#466—831no—
1032#466—831no—
1033#466C2×D8311yescharacteristic, complemented
1034#465—831no—
1035#465—831no—
1036#465—831no—
1037#465—831no—
1038#465—831no—
1039#465—831no—
1040#465—831no—
1041#465C2×D8311yescharacteristic, complemented
1042#463—831no—
1043#463—831no—
1044#463—831no—
1045#463—831no—
1046#463—831no—
1047#463—831no—
1048#463—831no—
1049#463—831no—
1050#463—831no—
1051#463—831no—
1052#463—831no—
1053#463—831no—
1054#463—831no—
1055#463—831no—
1056#463C2×D8311yescharacteristic, complemented
1057#463C2×D8311yescharacteristic, complemented
1058#460—831no—
1059#460—831no—
1060#460—831no—
1061#460—831no—
1062#460—831no—
1063#460—831no—
1064#460—831no—
1065#460C2×D8311yescharacteristic, complemented
1066#459—831no—
1067#459—831no—
1068#459—831no—
1069#459—831no—
1070#459—831no—
1071#459—831no—
1072#459—831no—
1073#459C2×D8311yescharacteristic, complemented
1074C2×#107—831no—
1075C2×#107—831no—
1076C2×#106—831no—
1077C2×#106—831no—
1078#424—831no—
1079#424—831no—
1080#424—831no—
1081#424—831no—
1082#424—831no—
1083#424—831no—
1084#424—831no—
1085#424C2×D8311yescharacteristic, complemented
1086C2×C4⋊C8—831no—
1087C2×C4⋊C8—831no—
1088C2×C4⋊C8—831no—
1089C2×C4⋊C8—831no—
1090C2×#103—831no—
1091C2×#103—831no—
1092C2×#102—831no—
1093C2×#102—831no—
1094C2×#102—831no—
1095C2×#102—831no—
1096C2×#102—831no—
1097C2×#102—831no—
1098C22×Q8—831no—
1099C22×Q8—1661no—
1100C22×D4—831no—
1101C22×D4—831no—
1102C22×D4—831no—
1103C22×D4—1661no—
1104C22×D4—1661no—
1105C22×D4—1661no—
1106C22×D4—1661no—
1107C22×D4—1661no—
1108C23×C4—831no—
1109C23×C4—1661no—
1110C23×C4—1661no—
1111C23×C4—1661no—
1112C2×SD16—3322no—
1113C2×SD16—3322no—
1114C2×SD16—831no—
1115C2×SD16—831no—
1116C2×SD16—831no—
1117C2×SD16—831no—
1118C2×SD16—831no—
1119C2×SD16—831no—
1120C2×SD16C22×D8311yescharacteristic
1121C2×SD16C22×D8311yescharacteristic
1122C2×D8—3322no—
1123C2×D8—3322no—
1124C2×D8—831no—
1125C2×D8—831no—
1126C2×D8—831no—
1127C2×D8—831no—
1128C2×D8—831no—
1129C2×D8—831no—
1130C2×D8C22×D8311yescharacteristic
1131C2×D8C22×D8311yescharacteristic
1132C2×M16—3322no—
1133C2×M16—831no—
1134C2×M16—831no—
1135C2×M16—831no—
1136C2×M16C22×D8311yescharacteristic
1137C22×C8—3322no—
1138C22×C8—831no—
1139C22×C8—831no—
1140C22×C8—831no—
1141C22×C8—831no—
1142C22×C8—831no—
1143C22×C8—831no—
1144C22×C8—831no—
1145C22×C8C22×D8311yescharacteristic
1146C4⋊Q8—831no—
1147C4⋊Q8—831no—
1148C4⋊Q8—831no—
1149C4⋊Q8—1661no—
1150C4⋊Q8—1661no—
1151C4⋊Q8C22×D8311yescharacteristic
1152#127—831no—
1153#127—831no—
1154#127—831no—
1155#127—1661no—
1156#127—1661no—
1157#127C22×D8311yescharacteristic
1158#126—21no—
1159#126—1661no—
1160#126—1661no—
1161#126—1661no—
1162#126—1661no—
1163#126—1661no—
1164#126—1661no—
1165#126—1661no—
1166#125—831no—
1167#125—831no—
1168#125—831no—
1169#125—1661no—
1170#125—1661no—
1171#125C22×D8311yescharacteristic
1172#124—21no—
1173#124—831no—
1174#124—831no—
1175#124—831no—
1176#124—1661no—
1177#124—1661no—
1178#124—1661no—
1179#124—1661no—
1180#124—1661no—
1181#124—1661no—
1182#124—1661no—
1183#124—1661no—
1184#124—1661no—
1185#124C22×D8311yescharacteristic
1186#123—21no—
1187#123—21no—
1188#123—21no—
1189#123—1661no—
1190#123—1661no—
1191#123—1661no—
1192#123—1661no—
1193#123—1661no—
1194#123—1661no—
1195#123—1661no—
1196#123—1661no—
1197#123—1661no—
1198#123—1661no—
1199#123—1661no—
1200#123—1661no—
1201#123—1661no—
1202#123—1661no—
1203#123—1661no—
1204#123—1661no—
1205#123—1661no—
1206#123—1661no—
1207#123—1661no—
1208#123—1661no—
1209#123—1661no—
1210C22⋊Q8—21no—
1211C22⋊Q8—831no—
1212C22⋊Q8—831no—
1213C22⋊Q8—831no—
1214C22⋊Q8—1661no—
1215C22⋊Q8—1661no—
1216C22⋊Q8—1661no—
1217C22⋊Q8—1661no—
1218C22⋊Q8—1661no—
1219C22⋊Q8—1661no—
1220C22⋊Q8—1661no—
1221C22⋊Q8—1661no—
1222C22⋊Q8—1661no—
1223C22⋊Q8C22×D8311yescharacteristic
1224#121—21no—
1225#121—21no—
1226#121—831no—
1227#121—831no—
1228#121—831no—
1229#121—831no—
1230#121—831no—
1231#121—831no—
1232#121—831no—
1233#121—831no—
1234#121—831no—
1235#121—1661no—
1236#121—1661no—
1237#121—1661no—
1238#121—1661no—
1239#121—1661no—
1240#121—1661no—
1241#121—1661no—
1242#121—1661no—
1243#121—1661no—
1244#121—1661no—
1245#121—1661no—
1246#121—1661no—
1247#121—1661no—
1248#121—1661no—
1249#121—1661no—
1250#121—1661no—
1251#121—1661no—
1252#121—1661no—
1253#121—1661no—
1254#121—1661no—
1255#121C22×D8311yescharacteristic
1256#121C22×D8311yescharacteristic
1257#121C22×D8311yescharacteristic
1258C4×Q8—831no—
1259C4×Q8—831no—
1260C4×Q8—831no—
1261C4×Q8—1661no—
1262C4×Q8—1661no—
1263C4×Q8C22×D8311yescharacteristic
1264C4×D4—831no—
1265C4×D4—831no—
1266C4×D4—831no—
1267C4×D4—831no—
1268C4×D4—831no—
1269C4×D4—831no—
1270C4×D4—831no—
1271C4×D4—831no—
1272C4×D4—831no—
1273C4×D4—1661no—
1274C4×D4—1661no—
1275C4×D4—1661no—
1276C4×D4—1661no—
1277C4×D4—1661no—
1278C4×D4—1661no—
1279C4×D4C22×D8311yescharacteristic
1280C4×D4C22×D8311yescharacteristic
1281C4×D4C22×D8311yescharacteristic
1282#117—831no—
1283#117—831no—
1284#117—831no—
1285#117—831no—
1286#117—831no—
1287#117—831no—
1288#117—831no—
1289#117C22×D8311yescharacteristic
1290C2×C4⋊C4—831no—
1291C2×C4⋊C4—831no—
1292C2×C4⋊C4—831no—
1293C2×C4⋊C4—831no—
1294C2×C4⋊C4—831no—
1295C2×C4⋊C4—831no—
1296C2×C4⋊C4—1661no—
1297C2×C4⋊C4—1661no—
1298C2×C4⋊C4—1661no—
1299C2×C4⋊C4—1661no—
1300C2×C4⋊C4—1661no—
1301C2×C22⋊C4—831no—
1302C2×C22⋊C4—831no—
1303C2×C22⋊C4—1661no—
1304C2×C22⋊C4—1661no—
1305C2×C22⋊C4—1661no—
1306C2×C22⋊C4—1661no—
1307C2×C22⋊C4—1661no—
1308C2×C22⋊C4—1661no—
1309C2×C22⋊C4—1661no—
1310C2×C22⋊C4—1661no—
1311C2×C22⋊C4—1661no—
1312C2×C42—831no—
1313C2×C42—831no—
1314C2×C42—1661no—
1315#107—831no—
1316#107—831no—
1317#107—831no—
1318#107—831no—
1319#107—831no—
1320#107—831no—
1321#107C22×D8311yescharacteristic
1322#107C22×D8311yescharacteristic
1323#106—831no—
1324#106—831no—
1325#106—831no—
1326#106—831no—
1327#106—831no—
1328#106—831no—
1329#106C22×D8311yescharacteristic
1330#106C22×D8311yescharacteristic
1331C4⋊C8—831no—
1332C4⋊C8—831no—
1333C4⋊C8—831no—
1334C4⋊C8—831no—
1335C4⋊C8—831no—
1336C4⋊C8—831no—
1337C4⋊C8—831no—
1338C4⋊C8—831no—
1339C4⋊C8—831no—
1340C4⋊C8—831no—
1341C4⋊C8—831no—
1342C4⋊C8—831no—
1343C4⋊C8C22×D8311yescharacteristic
1344C4⋊C8C22×D8311yescharacteristic
1345C4⋊C8C22×D8311yescharacteristic
1346C4⋊C8C22×D8311yescharacteristic
1347#103—831no—
1348#103—831no—
1349#103—831no—
1350#103—831no—
1351#103—831no—
1352#103—831no—
1353#103C22×D8311yescharacteristic
1354#103C22×D8311yescharacteristic
1355#102—831no—
1356#102—831no—
1357#102—831no—
1358#102—831no—
1359#102—831no—
1360#102—831no—
1361#102—831no—
1362#102—831no—
1363#102—831no—
1364#102—831no—
1365#102—831no—
1366#102—831no—
1367#102—831no—
1368#102—831no—
1369#102—831no—
1370#102—831no—
1371#102—831no—
1372#102—831no—
1373#102C22×D8311yescharacteristic
1374#102C22×D8311yescharacteristic
1375#102C22×D8311yescharacteristic
1376#102C22×D8311yescharacteristic
1377#102C22×D8311yescharacteristic
1378#102C22×D8311yescharacteristic
1379C24—831no—
1380C24—1661no—
1381C24—1661no—
1382C24—1661no—
1383C2×Q8—21no—
1384C2×Q8—831no—
1385C2×Q8—6642no—
1386C2×Q8—1661no—
1387C2×Q8—1661no—
1388C2×Q8—1661no—
1389C2×Q8—1662no—
1390C2×Q8—1662no—
1391C2×Q8—1661no—
1392C2×Q8C23×D8311yescharacteristic
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—831no—
1399C2×D4—831no—
1400C2×D4—831no—
1401C2×D4—6642no—
1402C2×D4—6642no—
1403C2×D4—6642no—
1404C2×D4—6642no—
1405C2×D4—6642no—
1406C2×D4—1661no—
1407C2×D4—1661no—
1408C2×D4—1661no—
1409C2×D4—1662no—
1410C2×D4—1662no—
1411C2×D4—1662no—
1412C2×D4—1662no—
1413C2×D4—1662no—
1414C2×D4—1662no—
1415C2×D4—1661no—
1416C2×D4—1661no—
1417C2×D4—1661no—
1418C2×D4—1661no—
1419C2×D4—1661no—
1420C2×D4—1661no—
1421C2×D4—1661no—
1422C2×D4—1661no—
1423C2×D4—1661no—
1424C2×D4—1661no—
1425C2×D4—1661no—
1426C2×D4—1661no—
1427C2×D4—1661no—
1428C2×D4—1661no—
1429C2×D4—1661no—
1430C2×D4C23×D8311yescharacteristic
1431C2×D4C23×D8311yescharacteristic
1432C2×D4C23×D8311yescharacteristic
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—831no—
1437C22×C4—831no—
1438C22×C4—831no—
1439C22×C4—831no—
1440C22×C4—831no—
1441C22×C4—831no—
1442C22×C4—831no—
1443C22×C4—831no—
1444C22×C4—831no—
1445C22×C4—6642no—
1446C22×C4—6642no—
1447C22×C4—6642no—
1448C22×C4—1661no—
1449C22×C4—1661no—
1450C22×C4—1661no—
1451C22×C4—1661no—
1452C22×C4—1661no—
1453C22×C4—1661no—
1454C22×C4—1661no—
1455C22×C4—1661no—
1456C22×C4—1662no—
1457C22×C4—1662no—
1458C22×C4—1661no—
1459C22×C4—1661no—
1460C22×C4—1661no—
1461C22×C4—1661no—
1462C22×C4—1661no—
1463C22×C4—1661no—
1464C22×C4C23×D8311yescharacteristic
1465SD16—41no—
1466SD16—41no—
1467SD16—3321no—
1468SD16—3321no—
1469SD16—3321no—
1470SD16—3321no—
1471SD16—3321no—
1472SD16—3321no—
1473D8—41no—
1474D8—41no—
1475D8—3321no—
1476D8—3321no—
1477D8—3321no—
1478D8—3321no—
1479D8—3321no—
1480D8—3321no—
1481M16—41no—
1482M16—3321no—
1483M16—3321no—
1484M16—3321no—
1485C2×C8—41no—
1486C2×C8—3321no—
1487C2×C8—3321no—
1488C2×C8—3321no—
1489C2×C8—831no—
1490C2×C8—831no—
1491C2×C8—831no—
1492C2×C8—831no—
1493C2×C8—1662no—
1494C2×C8—1662no—
1495C2×C8—1662no—
1496C2×C8—1662no—
1497C2×C8C23×D8311yescharacteristic
1498C2×C8C23×D8311yescharacteristic
1499C2×C8C23×D8311yescharacteristic
1500C2×C8C23×D8311yescharacteristic
1501C4⋊C4—21no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—831no—
1507C4⋊C4—831no—
1508C4⋊C4—831no—
1509C4⋊C4—831no—
1510C4⋊C4—831no—
1511C4⋊C4—831no—
1512C4⋊C4—831no—
1513C4⋊C4—831no—
1514C4⋊C4—831no—
1515C4⋊C4—831no—
1516C4⋊C4—1661no—
1517C4⋊C4—1661no—
1518C4⋊C4—1661no—
1519C4⋊C4—1661no—
1520C4⋊C4—1661no—
1521C4⋊C4—1661no—
1522C4⋊C4—1661no—
1523C4⋊C4—1661no—
1524C4⋊C4—1661no—
1525C4⋊C4—1661no—
1526C4⋊C4—1661no—
1527C4⋊C4—1661no—
1528C4⋊C4—1661no—
1529C4⋊C4—1661no—
1530C4⋊C4—1661no—
1531C4⋊C4—1661no—
1532C4⋊C4—1661no—
1533C4⋊C4—1661no—
1534C4⋊C4—1661no—
1535C4⋊C4D4×D8311yescharacteristic
1536C4⋊C4D4×D8311yescharacteristic
1537C4⋊C4C23×D8311yescharacteristic
1538C4⋊C4C23×D8311yescharacteristic
1539C4⋊C4C23×D8311yescharacteristic
1540C4⋊C4C23×D8311yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—831no—
1551C22⋊C4—831no—
1552C22⋊C4—831no—
1553C22⋊C4—831no—
1554C22⋊C4—831no—
1555C22⋊C4—831no—
1556C22⋊C4—1661no—
1557C22⋊C4—1661no—
1558C22⋊C4—1661no—
1559C22⋊C4—1661no—
1560C22⋊C4—1661no—
1561C22⋊C4—1661no—
1562C22⋊C4—1661no—
1563C22⋊C4—1661no—
1564C22⋊C4—1661no—
1565C22⋊C4—1661no—
1566C22⋊C4—1661no—
1567C22⋊C4—1661no—
1568C22⋊C4—1661no—
1569C22⋊C4—1661no—
1570C22⋊C4—1661no—
1571C22⋊C4—1661no—
1572C22⋊C4—1661no—
1573C22⋊C4—1661no—
1574C22⋊C4—1661no—
1575C22⋊C4—1661no—
1576C22⋊C4—1661no—
1577C22⋊C4—1661no—
1578C22⋊C4—1661no—
1579C22⋊C4—1661no—
1580C22⋊C4—1661no—
1581C22⋊C4—1661no—
1582C22⋊C4—1661no—
1583C22⋊C4D4×D8311yescharacteristic
1584C22⋊C4D4×D8311yescharacteristic
1585C42—21no—
1586C42—831no—
1587C42—831no—
1588C42—831no—
1589C42—831no—
1590C42—831no—
1591C42—831no—
1592C42—1661no—
1593C42—1661no—
1594C42—1661no—
1595C42C23×D8311yescharacteristic
1596C42C23×D8311yescharacteristic
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—3322no—
1601C23—3322no—
1602C23—3322no—
1603C23—3322no—
1604C23—3322no—
1605C23—3322no—
1606C23—3322no—
1607C23—3322no—
1608C23—3322no—
1609C23—831no—
1610C23—831no—
1611C23—1662no—
1612C23—1662no—
1613C23—1662no—
1614C23—1661no—
1615C23—1661no—
1616C23—1661no—
1617C23C2×D4×D8311yescharacteristic
1618Q8—21no—
1619Q8—21no—
1620Q8—81no—
1621Q8—3322no—
1622Q8—6641no—
1623Q8—6641no—
1624Q8—6641no—
1625Q8—1661no—
1626Q8—1661no—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—81no—
1634D4—81no—
1635D4—81no—
1636D4—81no—
1637D4—81no—
1638D4—3322no—
1639D4—3322no—
1640D4—3322no—
1641D4—6641no—
1642D4—6641no—
1643D4—6641no—
1644D4—6641no—
1645D4—6641no—
1646D4—6641no—
1647D4—6641no—
1648D4—6641no—
1649D4—6641no—
1650D4—6641no—
1651D4—6641no—
1652D4—6641no—
1653D4—6641no—
1654D4—6641no—
1655D4—6641no—
1656D4—1661no—
1657D4—1661no—
1658D4—1661no—
1659D4—1661no—
1660D4—1661no—
1661D4—1661no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—81no—
1670C2×C4—81no—
1671C2×C4—81no—
1672C2×C4—3322no—
1673C2×C4—3322no—
1674C2×C4—3322no—
1675C2×C4—3322no—
1676C2×C4—3322no—
1677C2×C4—831no—
1678C2×C4—832no—
1679C2×C4—832no—
1680C2×C4—831no—
1681C2×C4—831no—
1682C2×C4—831no—
1683C2×C4—831no—
1684C2×C4—831no—
1685C2×C4—6641no—
1686C2×C4—6641no—
1687C2×C4—6641no—
1688C2×C4—6641no—
1689C2×C4—6641no—
1690C2×C4—6641no—
1691C2×C4—6641no—
1692C2×C4—6641no—
1693C2×C4—6641no—
1694C2×C4—1662no—
1695C2×C4—1662no—
1696C2×C4—1662no—
1697C2×C4—1662no—
1698C2×C4—1662no—
1699C2×C4—1662no—
1700C2×C4—1661no—
1701C2×C4—1661no—
1702C2×C4—1661no—
1703C2×C4—1661no—
1704C2×C4—1661no—
1705C2×C4—1662no—
1706C2×C4—1661no—
1707C2×C4—1661no—
1708C2×C4C2×D4×D8311yescharacteristic
1709C2×C4C2×D4×D8311yescharacteristic
1710C2×C4C2×D4×D8311yescharacteristic
1711C2×C4C2×D4×D8311yescharacteristic
1712C2×C4C2×D4×D8311yescharacteristic
1713C2×C4C24×D8311yescharacteristic
1714C8—21no—
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—1661no—
1719C8—1661no—
1720C8—1661no—
1721C8—1661no—
1722C22—21no—
1723C22—21no—
1724C22—21no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—3324no—
1735C22—3321no—
1736C22—3321no—
1737C22—3321no—
1738C22—3321no—
1739C22—3321no—
1740C22—3321no—
1741C22—3321no—
1742C22—3321no—
1743C22—3321no—
1744C22—832no—
1745C22—832no—
1746C22—832no—
1747C22—6644no—
1748C22—6644no—
1749C22—6644no—
1750C22—1661no—
1751C22—1661no—
1752C22—1661no—
1753C22C22×D4×D8311yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—3321no—
1765C4—3321no—
1766C4—3321no—
1767C4—3321no—
1768C4—3321no—
1769C4—832no—
1770C4—1661no—
1771C4—1661no—
1772C4—1661no—
1773C4—1661no—
1774C4—1661no—
1775C4H(5,𝔽2)×D8311yescharacteristic
1776C42−1+4×D8311yescharacteristic
1777C2—41no—
1778C2—81no—
1779C2—81no—
1780C2—81no—
1781C2—3321no—
1782C2—834no—
1783C2—6641no—
1784C2—6641no—
1785C2—6641no—
1786C2#537×D8311yescharacteristic
1787C2#576×D8311yescharacteristic
1788C2#577×D8311yescharacteristic
subgroupG/H
centerC22C22×D4×D83
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC83×#3257C2
socleC22×C83C23×D4
hypercenter#3257D83
hypocenterC83C2×#3257
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C22 ◁ #117 ◁ #3257

Complements

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

NH ≅ G/Ntype
1. #542×D83C2semidirect
2. #540×D83C2semidirect
3. #24918881C2semidirect
4. #24918880C2semidirect
5. #24918879C2semidirect
6. #24918878C2semidirect
7. #24918877C2semidirect
8. #24918876C2semidirect
9. #24918875C2semidirect
10. #24918874C2semidirect
11. #24918873C2semidirect
12. #24918872C2semidirect
13. #24918871C2semidirect
14. #24918870C2semidirect
15. #24918869C2semidirect
16. #24918868C2semidirect
17. #24918867C2semidirect
18. #479×D83C2semidirect
19. #478×D83C2semidirect
20. #476×D83C2semidirect
21. #474×D83C2semidirect
22. #469×D83C2semidirect
23. #468×D83C2semidirect
24. #466×D83C2semidirect
25. #465×D83C2semidirect
26. #460×D83C2semidirect
27. #463×D83C2semidirect
28. #463×D83C2semidirect
29. #459×D83C2semidirect
30. #424×D83C2semidirect
31. C83×#3257C2semidirect
38. #19128325C22semidirect
39. #19128324C22semidirect
40. #19128323C22semidirect
41. #19128322C22semidirect
43. #19128320C22semidirect
45. #19128318C22semidirect
47. #19128316C22semidirect
49. #19128307C22semidirect
50. #19128306C22semidirect
51. #19128305C22semidirect
52. #19128304C22semidirect
53. #19128304C22semidirect
56. #19128302C22semidirect
57. #19128302C22semidirect
81. #19128011C22semidirect
82. #19128010C22semidirect
83. #19128009C22semidirect
84. #19128008C22semidirect
85. #19128007C22semidirect
86. #19128006C22semidirect
87. #19128005C22semidirect
88. #19128004C22semidirect
89. #19128003C22semidirect
90. #19128002C22semidirect
91. #19128001C22semidirect
92. #19128000C22semidirect
93. #19127999C22semidirect
94. #19127998C22semidirect
95. #19127992C22semidirect
96. #19127991C22semidirect
97. #19127990C22semidirect
98. #19127990C22semidirect
99. #19127989C22semidirect
100. #19127989C22semidirect
101. #19127988C22semidirect
102. #19127982C22semidirect
103. #19127981C22semidirect
104. #19127980C22semidirect
105. #19127980C22semidirect
106. #19127979C22semidirect
107. #19127979C22semidirect
108. #19127978C22semidirect
109. #19127955C22semidirect
110. #19127954C22semidirect
111. #19127953C22semidirect
112. #19127953C22semidirect
113. #19127952C22semidirect
114. #19127952C22semidirect
115. #19127951C22semidirect
116. #19127950C22semidirect
117. #19127949C22semidirect
118. #19127948C22semidirect
119. #19127947C22semidirect
120. #19127946C22semidirect
121. #19127945C22semidirect
122. #19127944C22semidirect
123. #19127938C22semidirect
124. #19127937C22semidirect
125. #19127936C22semidirect
126. #19127936C22semidirect
127. #19127935C22semidirect
128. #19127935C22semidirect
129. #19127934C22semidirect
130. #19127933C22semidirect
131. #19127932C22semidirect
132. #19127931C22semidirect
133. #19127930C22semidirect
134. #19127929C22semidirect
135. #19127928C22semidirect
136. #19127927C22semidirect
137. #19127919C22semidirect
138. #19127919C22semidirect
139. #19127918C22semidirect
140. #19127918C22semidirect
141. #19127917C22semidirect
142. #19127917C22semidirect
143. #19127916C22semidirect
144. #19127916C22semidirect
145. #19127915C22semidirect
146. #19127915C22semidirect
147. #19127914C22semidirect
148. #19127914C22semidirect
149. #19127913C22semidirect
150. #19127913C22semidirect
151. #19127902C22semidirect
152. #19127901C22semidirect
153. #19127900C22semidirect
154. #19127900C22semidirect
155. #19127899C22semidirect
156. #19127899C22semidirect
157. #19127898C22semidirect
158. #19127897C22semidirect
159. #19127896C22semidirect
160. #19127895C22semidirect
161. #19127895C22semidirect
162. #19127894C22semidirect
163. #19127894C22semidirect
164. #19127893C22semidirect
169. #19127729C22semidirect
170. #19127728C22semidirect
171. #19127727C22semidirect
172. #19127726C22semidirect
173. #19127726C22semidirect
174. #19127726C22semidirect
175. #19127726C22semidirect
188. #542×C83C22semidirect
189. #540×C83C22semidirect
190. #479×C83C22semidirect
191. #478×C83C22semidirect
192. #476×C83C22semidirect
193. #474×C83C22semidirect
194. #469×C83C22semidirect
195. #468×C83C22semidirect
196. #466×C83C22semidirect
197. #465×C83C22semidirect
198. #463×C83C22semidirect
199. #463×C83C22semidirect
200. #460×C83C22semidirect
201. #459×C83C22semidirect
202. #424×C83C22semidirect
894. D83#3257direct (N × H)
912. #3257D83direct (N × H)
926. C83C2×#3257semidirect
944. #542C2×D83semidirect
956. #540C2×D83semidirect
985. #479C2×D83semidirect
993. #478C2×D83semidirect
1001. #476C2×D83semidirect
1009. #474C2×D83semidirect
1017. #469C2×D83semidirect
1025. #468C2×D83semidirect
1033. #466C2×D83semidirect
1041. #465C2×D83semidirect
1056. #463C2×D83semidirect
1057. #463C2×D83semidirect
1065. #460C2×D83semidirect
1073. #459C2×D83semidirect
1085. #424C2×D83semidirect

Maximal subgroups

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

subgroupindex
#542×D832
#540×D832
#249188812
#249188802
#249188792
#249188782
#249188772
#249188762
#249188752
#249188742
#249188732
#249188722
#249188712
#249188702
#249188692
#249188682
#249188672
#479×D832
#478×D832
#476×D832
#474×D832
#469×D832
#468×D832
#466×D832
#465×D832
#460×D832
#463×D832
#459×D832
#424×D832
C83×#32572
C2×#325783