Finite Group Databasebeta

← #36290127

Subgroups — #36290127

Order 21248.

2044 conjugacy classes of subgroups.

The subgroup lattice has 1866 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24921117C211yesmaximal, characteristic, complemented
2#24919795C211yesmaximal, characteristic, complemented
3#24919710C211yesmaximal, characteristic, complemented
4#24919583C211yesmaximal, characteristic, complemented
5#24919568C211yesmaximal, characteristic, complemented
6#24919523C211yesmaximal, characteristic, complemented
7#24919463C211yesmaximal, characteristic, complemented
8#24919396C211yesmaximal, characteristic, complemented
9#24919344C211yesmaximal, characteristic, complemented
10#24919200C211yesmaximal, characteristic, complemented
11#24919189C211yesmaximal, characteristic, complemented
12#24919125C211yesmaximal, characteristic, complemented
13#24919116C211yesmaximal, characteristic, complemented
14#24919049C211yesmaximal, characteristic, complemented
15#24919049C211yesmaximal, characteristic, complemented
16#24919034C211yesmaximal, characteristic, complemented
17#24919014C211yesmaximal, characteristic, complemented
18#24918551C211yesmaximal, characteristic, complemented
19#24918529C211yesmaximal, characteristic, complemented
20#24918330C211yesmaximal, characteristic, complemented
21#24918309C211yesmaximal, characteristic, complemented
22#24918300C211yesmaximal, characteristic, complemented
23#24918244C211yesmaximal, characteristic, complemented
24#24917758C211yesmaximal, characteristic, complemented
25#24917686C211yesmaximal, characteristic, complemented
26#24916775C211yesmaximal, characteristic, complemented
27#24916756C211yesmaximal, characteristic, complemented
28#24916721C211yesmaximal, characteristic, complemented
29#24916679C211yesmaximal, characteristic, complemented
30#24916511C211yesmaximal, characteristic, complemented
31C83×#3541C211yesmaximal, characteristic, complemented
32C2×#14581839C2211yescharacteristic
33C22×#13050590C2211yescharacteristic
34C2×#14581823C2211yescharacteristic
35C2×#14581823C2211yescharacteristic
36C2×#14581823C2211yescharacteristic, complemented
37C2×#14581822C2211yescharacteristic, complemented
38C2×#14581812C2211yescharacteristic
39C2×#14581812C2211yescharacteristic
40C2×#14581812C2211yescharacteristic, complemented
41C22×#13050580C2211yescharacteristic, complemented
42#19128372C2211yescharacteristic
43#19128372C2211yescharacteristic
44#19128372C2211yescharacteristic
45#19128372C2211yescharacteristic
46#19128369—21no—
47#19128369—21no—
48#19128361—21no—
49#19128361—21no—
50#19128360C2211yescharacteristic
51#19128360C2211yescharacteristic
52#19128360C2211yescharacteristic
53#19128360C2211yescharacteristic
54#19128270C2211yescharacteristic
55#19128266—21no—
56#19128266—21no—
57#19128265C2211yescharacteristic
58#19128212C2211yescharacteristic
59#19128209—21no—
60#19128209—21no—
61#19128178C2211yescharacteristic
62#19128093C2211yescharacteristic, complemented
63#19128091C2211yescharacteristic, complemented
64#19128083C2211yescharacteristic, complemented
65#19128075C2211yescharacteristic, complemented
66#19128067C2211yescharacteristic, complemented
67#19128063C2211yescharacteristic, complemented
68#19128058C2211yescharacteristic, complemented
69#19128049C2211yescharacteristic, complemented
70#19128042C2211yescharacteristic, complemented
71#19128039C2211yescharacteristic
72#19128039C2211yescharacteristic
73#19128039C2211yescharacteristic
74#19128031C2211yescharacteristic, complemented
75#19128025C2211yescharacteristic, complemented
76#19128025C2211yescharacteristic, complemented
77#19128025C2211yescharacteristic, complemented
78#19128022C2211yescharacteristic
79#19128019C2211yescharacteristic, complemented
80#19128014C2211yescharacteristic, complemented
81#19128014C2211yescharacteristic, complemented
82#19128005C2211yescharacteristic, complemented
83#19128005C2211yescharacteristic, complemented
84#19127993C2211yescharacteristic, complemented
85#19127983C2211yescharacteristic, complemented
86#19127957C2211yescharacteristic, complemented
87#19127952C2211yescharacteristic, complemented
88#19127952C2211yescharacteristic, complemented
89#19127949C2211yescharacteristic, complemented
90#19127949C2211yescharacteristic, complemented
91#19127949C2211yescharacteristic, complemented
92#19127949C2211yescharacteristic, complemented
93#19127945C2211yescharacteristic, complemented
94#19127940C2211yescharacteristic, complemented
95#19127940C2211yescharacteristic, complemented
96#19127935C2211yescharacteristic, complemented
97#19127932C2211yescharacteristic, complemented
98#19127932C2211yescharacteristic, complemented
99#19127932C2211yescharacteristic, complemented
100#19127932C2211yescharacteristic, complemented
101#19127932C2211yescharacteristic, complemented
102#19127923C2211yescharacteristic, complemented
103#19127923C2211yescharacteristic, complemented
104#19127923C2211yescharacteristic, complemented
105#19127920C2211yescharacteristic, complemented
106#19127920C2211yescharacteristic, complemented
107#19127916C2211yescharacteristic, complemented
108#19127908C2211yescharacteristic, complemented
109#19127908C2211yescharacteristic, complemented
110#19127901C2211yescharacteristic, complemented
111#19127901C2211yescharacteristic, complemented
112#19127901C2211yescharacteristic, complemented
113#19127896C2211yescharacteristic, complemented
114#19127863C2211yescharacteristic, complemented
115#19127861C2211yescharacteristic
116#19127861C2211yescharacteristic
117#19127861C2211yescharacteristic
118#19127861C2211yescharacteristic
119#19127861C2211yescharacteristic
120#19127861C2211yescharacteristic
121#19127861C2211yescharacteristic
122#19127861C2211yescharacteristic
123#19127861C2211yescharacteristic
124#19127861C2211yescharacteristic, complemented
125#19127861C2211yescharacteristic, complemented
126#19127861C2211yescharacteristic, complemented
127#19127857C2211yescharacteristic, complemented
128#19127856C2211yescharacteristic
129#19127856C2211yescharacteristic
130#19127856C2211yescharacteristic
131#19127856C2211yescharacteristic, complemented
132#19127856C2211yescharacteristic, complemented
133#19127856C2211yescharacteristic, complemented
134#19127851C2211yescharacteristic
135#19127851C2211yescharacteristic
136#19127851C2211yescharacteristic
137#19127846C2211yescharacteristic, complemented
138#19127846C2211yescharacteristic, complemented
139#19127846C2211yescharacteristic, complemented
140#19127844C2211yescharacteristic
141#19127844C2211yescharacteristic
142#19127844C2211yescharacteristic
143#19127844C2211yescharacteristic, complemented
144#19127840C2211yescharacteristic, complemented
145#19127840C2211yescharacteristic, complemented
146#19127840C2211yescharacteristic, complemented
147#19127839C2211yescharacteristic
148#19127839C2211yescharacteristic, complemented
149#19127834C2211yescharacteristic
150#19127806C2211yescharacteristic, complemented
151#19127806C2211yescharacteristic, complemented
152#19127806C2211yescharacteristic, complemented
153#19127801C2211yescharacteristic, complemented
154C4×#13050580C2211yescharacteristic, complemented
155C4×#13050580C2211yescharacteristic, complemented
156C4×#13050580C2211yescharacteristic, complemented
157C4×#13050578C2211yescharacteristic, complemented
158#19127779C2211yescharacteristic, complemented
159#19127779C2211yescharacteristic, complemented
160#19127773C2211yescharacteristic, complemented
161#19127773C2211yescharacteristic, complemented
162#19127773C2211yescharacteristic, complemented
163#19127773C2211yescharacteristic, complemented
164D4×C83⋊C8C2211yescharacteristic, complemented
165D4×C83⋊C8C2211yescharacteristic, complemented
166#19127762C2211yescharacteristic
167#19127762C2211yescharacteristic
168#19127709C2211yescharacteristic, complemented
169#19127700C2211yescharacteristic
170#19127700C2211yescharacteristic
171#19127700C2211yescharacteristic, complemented
172#19127695C2211yescharacteristic
173#19127695C2211yescharacteristic
174#19127695C2211yescharacteristic, complemented
175C2×#14581715C2211yescharacteristic, complemented
176#19127668C2211yescharacteristic
177#19127668C2211yescharacteristic
178#19127665C2211yescharacteristic
179C2×C22⋊(C83⋊C8)C2211yescharacteristic
180#563×C83—21no—
181#562×C83—21no—
182#556×C83C2211yescharacteristic, complemented
183#554×C83—21no—
184#554×C83C2211yescharacteristic, complemented
185#553×C83—21no—
186#553×C83C2211yescharacteristic, complemented
187#552×C83C2211yescharacteristic, complemented
188D4×Q8×C83C2211yescharacteristic, complemented
189#548×C83C2211yescharacteristic, complemented
190#548×C83C2211yescharacteristic, complemented
191#547×C83C2211yescharacteristic, complemented
192#542×C83—21no—
193#542×C83C2211yescharacteristic
194#541×C83C2211yescharacteristic
195#539×C83—21no—
196#538×C83—21no—
197#538×C83—21no—
198#537×C83C2211yescharacteristic
199#536×C83C2211yescharacteristic
200#525×C83C2211yescharacteristic
201#525×C83C2211yescharacteristic
202C2×C22⋊Q8×C83C2211yescharacteristic
203#14581839—42no—
204#14581839—42no—
205C2×#13050590—21no—
206C2×#13050590—21no—
207C2×#13050590—42no—
208C2×#13050590—42no—
209C2×#13050590C2311yescharacteristic
210C2×#13050590C2311yescharacteristic
211C2×#13050590C2311yescharacteristic
212C2×#13050590C2311yescharacteristic
213C2×#13050590C2311yescharacteristic
214C2×#13050590C2311yescharacteristic
215C2×#13050590C2311yescharacteristic
216C2×#13050589—21no—
217C2×#13050589—21no—
218C2×#13050589—21no—
219C22×Dic166C2311yescharacteristic
220C22×Dic166C2311yescharacteristic
221C22×Dic166C2311yescharacteristic
222C2×Q8×D83—21no—
223C22×D332C2311yescharacteristic
224C22×C22⋊D83—21no—
225C22×C4×D83—21no—
226#14581823—42no—
227#14581823—42no—
228#14581823—42no—
229#14581822—42no—
230#14581812—42no—
231#14581812—42no—
232#14581812—42no—
233C2×#13050580—42no—
234C2×#13050580C2311yescharacteristic
235C2×#13050580C2311yescharacteristic
236C2×#13050580C2311yescharacteristic
237C2×#13050580C2311yescharacteristic
238C2×#13050580C2311yescharacteristic
239C2×#13050580C2311yescharacteristic
240C2×#13050580C2311yescharacteristic
241C2×#13050580C2311yescharacteristic
242C2×#13050580C2311yescharacteristic
243C2×#13050578C2311yescharacteristic
244C2×#13050578C2311yescharacteristic
245C2×#13050578C2311yescharacteristic
246C2×#13050577C2311yescharacteristic
247C2×#13050577C2311yescharacteristic
248C2×#13050577C2311yescharacteristic
249C2×#13050577C2311yescharacteristic
250C2×#13050577C2311yescharacteristic
251C2×#13050577C2311yescharacteristic
252C2×#13050577C2311yescharacteristic
253C2×#13050577C2311yescharacteristic
254C2×#13050577C2311yescharacteristic
255C2×#13050575C2311yescharacteristic
256C2×#13050575C2311yescharacteristic
257C2×#13050575C2311yescharacteristic
258C2×#13050574C2311yescharacteristic
259C2×#13050574C2311yescharacteristic
260C2×#13050574C2311yescharacteristic
261C2×#13050574C2311yescharacteristic
262C22×C83⋊C8C2311yescharacteristic
263C22×C83⋊C8C2311yescharacteristic
264C22×C83⋊C8C2311yescharacteristic
265C22×C83⋊C8C2311yescharacteristic
266#14581789C2311yescharacteristic
267#14581789C2311yescharacteristic
268#14581788—21no—
269#14581788—21no—
270#14581788—21no—
271#14581788—21no—
272#14581788—21no—
273#14581781—21no—
274#14581780C2311yescharacteristic
275#14581780C2311yescharacteristic
276#14581778—21no—
277#14581778—21no—
278#14581778—21no—
279#14581778—21no—
280#14581775—21no—
281#14581771C2311yescharacteristic
282#14581771C2311yescharacteristic
283#14581770—21no—
284#14581770—21no—
285#14581770—21no—
286#14581770—21no—
287#14581767—21no—
288#14581767—21no—
289#14581766C2311yescharacteristic
290#14581766C2311yescharacteristic
291#14581766C2311yescharacteristic
292#14581766C2311yescharacteristic
293#14581766C2311yescharacteristic
294#14581766C2311yescharacteristic
295#14581765—21no—
296#14581765—21no—
297#14581765—21no—
298#14581765—21no—
299#14581765—21no—
300#14581765—21no—
301#14581765—21no—
302#14581765—21no—
303#14581764—21no—
304#14581764—21no—
305#14581764—21no—
306#14581764—21no—
307#14581762—21no—
308#14581762—21no—
309#14581761—21no—
310#14581760—21no—
311#14581760—21no—
312C4×Dic166C2311yescharacteristic
313C4×Dic166C2311yescharacteristic
314C4×Dic166C2311yescharacteristic
315C4×Dic166C2311yescharacteristic
316#14581757—21no—
317#14581757—21no—
318#14581754—21no—
319#14581754—21no—
320#14581754—21no—
321#14581754—21no—
322C4×C22⋊D83—21no—
323C4×C22⋊D83—21no—
324(C22⋊D83)⋊C4—21no—
325(C22⋊D83)⋊C4—21no—
326(C22⋊D83)⋊C4—21no—
327(C22⋊D83)⋊C4—21no—
328#14581751C2311yescharacteristic
329#14581748—21no—
330#14581748—21no—
331#14581725C2311yescharacteristic
332#14581725C2311yescharacteristic
333#14581725C2311yescharacteristic
334#14581725C2311yescharacteristic
335#14581723C2311yescharacteristic
336#14581723C2311yescharacteristic
337#14581723C2311yescharacteristic
338#14581723C2311yescharacteristic
339C4⋊(C83⋊C8)C2311yescharacteristic
340C4⋊(C83⋊C8)C2311yescharacteristic
341C4⋊(C83⋊C8)C2311yescharacteristic
342C4⋊(C83⋊C8)C2311yescharacteristic
343#14581716C2311yescharacteristic
344#14581716C2311yescharacteristic
345#14581716C2311yescharacteristic
346#14581716C2311yescharacteristic
347#14581716C2311yescharacteristic
348#14581716C2311yescharacteristic
349#14581715C2311yescharacteristic
350#14581715C2311yescharacteristic
351#14581715C2311yescharacteristic
352#14581715C2311yescharacteristic
353#14581715C2311yescharacteristic
354#14581715C2311yescharacteristic
355#14581715C2311yescharacteristic
356#14581715C2311yescharacteristic
357#14581715C2311yescharacteristic
358#14581715C2311yescharacteristic
359#14581715C2311yescharacteristic
360#14581715C2311yescharacteristic
361#14581713C2311yescharacteristic
362#14581713C2311yescharacteristic
363#14581712C2311yescharacteristic
364#14581712C2311yescharacteristic
365#14581712C2311yescharacteristic
366#14581712C2311yescharacteristic
367#14581712C2311yescharacteristic
368#14581712C2311yescharacteristic
369#14581712C2311yescharacteristic
370#14581712C2311yescharacteristic
371#14581712C2311yescharacteristic
372#14581712C2311yescharacteristic
373#14581712C2311yescharacteristic
374#14581712C2311yescharacteristic
375C22⋊(C83⋊C8)C2311yescharacteristic
376C22⋊(C83⋊C8)C2311yescharacteristic
377C22⋊(C83⋊C8)C2311yescharacteristic
378C22⋊(C83⋊C8)C2311yescharacteristic
379C22⋊(C83⋊C8)C2311yescharacteristic
380C22⋊(C83⋊C8)C2311yescharacteristic
381C22⋊(C83⋊C8)C2311yescharacteristic
382C22⋊(C83⋊C8)C2311yescharacteristic
383C22⋊(C83⋊C8)C2311yescharacteristic
384C22⋊(C83⋊C8)C2311yescharacteristic
385C22⋊(C83⋊C8)C2311yescharacteristic
386C22⋊(C83⋊C8)C2311yescharacteristic
387#14581703C2311yescharacteristic
388#14581703C2311yescharacteristic
389C4×C83⋊C8C2311yescharacteristic
390C4×C83⋊C8C2311yescharacteristic
391C2×#41×C83C2311yescharacteristic
392C2×#41×C83C2311yescharacteristic
393C2×#41×C83C2311yescharacteristic
394C22×Q8×C83C2311yescharacteristic
395C22×Q8×C83C2311yescharacteristic
396C23×C4×C83C2311yescharacteristic
397C4⋊Q8×C83—21no—
398C4⋊Q8×C83—21no—
399C4⋊Q8×C83C2311yescharacteristic
400C4⋊Q8×C83C2311yescharacteristic
401#126×C83—21no—
402#126×C83—21no—
403#126×C83—21no—
404#126×C83—21no—
405#126×C83—21no—
406#126×C83—21no—
407#126×C83—21no—
408#125×C83—21no—
409#125×C83—21no—
410#125×C83—21no—
411#125×C83—21no—
412#125×C83C2311yescharacteristic
413#124×C83—21no—
414#124×C83—21no—
415#124×C83—21no—
416#124×C83—21no—
417#124×C83—21no—
418#124×C83C2311yescharacteristic
419#123×C83—21no—
420#123×C83—21no—
421#123×C83—21no—
422#123×C83—21no—
423#123×C83—21no—
424#123×C83—21no—
425#123×C83—21no—
426#123×C83—21no—
427#123×C83D411yescharacteristic
428#123×C83D411yescharacteristic
429C22⋊Q8×C83—21no—
430C22⋊Q8×C83—21no—
431C22⋊Q8×C83—21no—
432C22⋊Q8×C83—21no—
433C22⋊Q8×C83—21no—
434C22⋊Q8×C83—21no—
435C22⋊Q8×C83—21no—
436C22⋊Q8×C83—21no—
437C22⋊Q8×C83—21no—
438C22⋊Q8×C83—21no—
439C22⋊Q8×C83D411yescharacteristic
440C22⋊Q8×C83D411yescharacteristic
441C22⋊Q8×C83C2311yescharacteristic
442C22⋊Q8×C83C2311yescharacteristic
443C22⋊Q8×C83C2311yescharacteristic
444C22⋊Q8×C83C2311yescharacteristic
445C22⋊Q8×C83C2311yescharacteristic
446C22⋊Q8×C83C2311yescharacteristic
447C22⋊Q8×C83C2311yescharacteristic
448C22⋊Q8×C83C2311yescharacteristic
449C22⋊Q8×C83C2311yescharacteristic
450#121×C83—21no—
451#121×C83—21no—
452#121×C83—21no—
453#121×C83—21no—
454#121×C83—21no—
455#121×C83—21no—
456#121×C83—21no—
457#121×C83D411yescharacteristic
458#121×C83D411yescharacteristic
459#121×C83C2311yescharacteristic
460#121×C83C2311yescharacteristic
461#121×C83C2311yescharacteristic
462#120×C83—21no—
463#120×C83D411yescharacteristic
464#120×C83D411yescharacteristic
465C4×Q8×C83—21no—
466C4×Q8×C83C2311yescharacteristic
467C4×Q8×C83C2311yescharacteristic
468C4×Q8×C83C2311yescharacteristic
469C4×D4×C83—21no—
470C4×D4×C83—21no—
471C4×D4×C83—21no—
472C4×D4×C83—21no—
473C4×D4×C83—21no—
474C4×D4×C83—21no—
475C4×D4×C83—21no—
476C4×D4×C83C2311yescharacteristic
477C4×D4×C83C2311yescharacteristic
478C4×D4×C83C2311yescharacteristic
479C4×D4×C83C2311yescharacteristic
480C4×D4×C83C2311yescharacteristic
481#117×C83—21no—
482#117×C83C2311yescharacteristic
483#117×C83C2311yescharacteristic
484#117×C83C2311yescharacteristic
485C2×C4⋊C4×C83—21no—
486C2×C4⋊C4×C83—21no—
487C2×C4⋊C4×C83C2311yescharacteristic
488C2×C4⋊C4×C83C2311yescharacteristic
489C2×C22⋊C4×C83—21no—
490C23×D83—21no—
491#13050590—22no—
492#13050590—22no—
493#13050590—22no—
494#13050590—22no—
495#13050590—22no—
496#13050590—22no—
497#13050590—41no—
498#13050590—41no—
499#13050590—41no—
500#13050590—41no—
501#13050590—41no—
502#13050590—41no—
503#13050590—41no—
504#13050590—41no—
505#13050590—44no—
506#13050590—44no—
507#13050589—44no—
508#13050589—44no—
509#13050589—44no—
510C2×Dic166—21no—
511C2×Dic166—22no—
512C2×Dic166—22no—
513C2×Dic166—22no—
514C2×Dic166—22no—
515C2×Dic166—21no—
516C2×Dic166—21no—
517C2×Dic166—41no—
518C2×Dic166—41no—
519C2×Dic166C2411yescharacteristic
520C2×Dic166C2411yescharacteristic
521C2×Dic166C2411yescharacteristic
522Q8×D83—44no—
523C2×D332—21no—
524C2×D332—21no—
525C2×D332—21no—
526C2×D332—21no—
527C2×D332—21no—
528C2×D332—41no—
529C2×D332—41no—
530C2×D332C2411yescharacteristic
531C2×D332C2411yescharacteristic
532C2×D332C2411yescharacteristic
533C2×C22⋊D83—21no—
534C2×C22⋊D83—21no—
535C2×C22⋊D83—21no—
536C2×C22⋊D83—21no—
537C2×C22⋊D83—21no—
538C2×C22⋊D83—21no—
539C2×C22⋊D83—21no—
540C2×C22⋊D83—21no—
541C2×C22⋊D83—21no—
542C2×C22⋊D83—21no—
543C2×C22⋊D83—21no—
544C2×C22⋊D83—21no—
545C2×C22⋊D83—21no—
546C2×C22⋊D83—44no—
547C22×Dic83—21no—
548C22×Dic83—21no—
549C22×Dic83—21no—
550C2×C4×D83—21no—
551C2×C4×D83—21no—
552C2×C4×D83—21no—
553C2×C4×D83—21no—
554C2×C4×D83—21no—
555C2×C4×D83—21no—
556C2×C4×D83—21no—
557C2×C4×D83—44no—
558#13050580—22no—
559#13050580—22no—
560#13050580—22no—
561#13050580—22no—
562#13050580—22no—
563#13050580—22no—
564#13050580—41no—
565#13050580—41no—
566#13050580—41no—
567#13050578—22no—
568#13050578—22no—
569#13050578—41no—
570#13050577—41no—
571#13050577—41no—
572#13050577—41no—
573#13050577—41no—
574#13050577—41no—
575#13050577—41no—
576#13050577—41no—
577#13050577—41no—
578#13050577—41no—
579#13050575—41no—
580#13050575—41no—
581#13050575—41no—
582#13050574—41no—
583#13050574—41no—
584#13050574—41no—
585#13050574—41no—
586C2×C83⋊C8—41no—
587C2×C83⋊C8—41no—
588C2×C83⋊C8—41no—
589C2×C83⋊C8—41no—
590C2×C83⋊C8C2411yescharacteristic
591C2×C83⋊C8C2411yescharacteristic
592C2×C83⋊C8C2411yescharacteristic
593C2×C83⋊C8C2411yescharacteristic
594C2×C83⋊C8C2411yescharacteristic
595C2×C83⋊C8C2411yescharacteristic
596C2×C83⋊C8C2411yescharacteristic
597C2×C83⋊C8C2411yescharacteristic
598C4⋊Dic83C2411yescharacteristic
599C4⋊Dic83C2411yescharacteristic
600Dic83⋊C4—21no—
601Dic83⋊C4—21no—
602Dic83⋊C4—21no—
603Dic83⋊C4—21no—
604Dic83⋊C4—21no—
605Dic83⋊C4—21no—
606C22⋊Dic83—21no—
607C22⋊Dic83—21no—
608C22⋊Dic83—21no—
609(C2×D83)⋊C4—21no—
610(C2×D83)⋊C4—21no—
611(C2×D83)⋊C4—21no—
612(C2×D83)⋊C4—21no—
613(C2×D83)⋊C4—21no—
614(C2×D83)⋊C4—21no—
615(C2×D83)⋊C4—21no—
616(C2×D83)⋊C4—21no—
617(C2×D83)⋊C4—21no—
618(C2×D83)⋊C4—21no—
619C4×Dic83—21no—
620C4×Dic83—21no—
621C4×Dic83—21no—
622C4×Dic83—21no—
623C4×Dic83—21no—
624C24×C83C2×D411yescharacteristic
625#41×C83—41no—
626#41×C83—41no—
627#41×C83—41no—
628#41×C83—41no—
629#41×C83—41no—
630#41×C83—41no—
631C2×Q8×C83—21no—
632C2×Q8×C83—21no—
633C2×Q8×C83—21no—
634C2×Q8×C83—41no—
635C2×Q8×C83—41no—
636C2×Q8×C83—41no—
637C2×Q8×C83—41no—
638C2×Q8×C83C2×D411yescharacteristic
639C2×Q8×C83C2411yescharacteristic
640C2×Q8×C83C2411yescharacteristic
641C2×Q8×C83C2411yescharacteristic
642C2×D4×C83—21no—
643C2×D4×C83—21no—
644C2×D4×C83—21no—
645C2×D4×C83—21no—
646C2×D4×C83—21no—
647C2×D4×C83C2×D411yescharacteristic
648C2×D4×C83C2×D411yescharacteristic
649C2×D4×C83C2×D411yescharacteristic
650C2×D4×C83C2×D411yescharacteristic
651C2×D4×C83C2×D411yescharacteristic
652C2×D4×C83C2×D411yescharacteristic
653C2×D4×C83C2×D411yescharacteristic
654C2×D4×C83C2411yescharacteristic
655C22×C4×C83—21no—
656C22×C4×C83—21no—
657C22×C4×C83—21no—
658C22×C4×C83—21no—
659C22×C4×C83—21no—
660C22×C4×C83—21no—
661C22×C4×C83—21no—
662C22×C4×C83—41no—
663C22×C4×C83—41no—
664C22×C4×C83C2×D411yescharacteristic
665C22×C4×C83C2×D411yescharacteristic
666C22×C4×C83C2×D411yescharacteristic
667C22×C4×C83C2411yescharacteristic
668C22×C4×C83C2411yescharacteristic
669C22×C4×C83C2411yescharacteristic
670C22×C4×C83C2411yescharacteristic
671C22×C4×C83C2411yescharacteristic
672C4⋊C4×C83—21no—
673C4⋊C4×C83—21no—
674C4⋊C4×C83—21no—
675C4⋊C4×C83—21no—
676C4⋊C4×C83—21no—
677C4⋊C4×C83—21no—
678C4⋊C4×C83—21no—
679C4⋊C4×C83—21no—
680C4⋊C4×C83—21no—
681C4⋊C4×C83—21no—
682C4⋊C4×C83—21no—
683C4⋊C4×C83—21no—
684C4⋊C4×C83—21no—
685C4⋊C4×C83—21no—
686C4⋊C4×C83—21no—
687C4⋊C4×C83—21no—
688C4⋊C4×C83—21no—
689C4⋊C4×C83—21no—
690C4⋊C4×C83—21no—
691C4⋊C4×C83C2×D411yescharacteristic
692C4⋊C4×C83C2×D411yescharacteristic
693C4⋊C4×C83C2×D411yescharacteristic
694C4⋊C4×C83C2×D411yescharacteristic
695C4⋊C4×C83C2×D411yescharacteristic
696C4⋊C4×C83C2×D411yescharacteristic
697C4⋊C4×C83C2411yescharacteristic
698C4⋊C4×C83C2411yescharacteristic
699C4⋊C4×C83C2411yescharacteristic
700C4⋊C4×C83C2411yescharacteristic
701C22⋊C4×C83—21no—
702C22⋊C4×C83—21no—
703C22⋊C4×C83—21no—
704C22⋊C4×C83—21no—
705C22⋊C4×C83—21no—
706C22⋊C4×C83—21no—
707C22⋊C4×C83—21no—
708C22⋊C4×C83—21no—
709C22⋊C4×C83—21no—
710C22⋊C4×C83—21no—
711C22⋊C4×C83—21no—
712C22⋊C4×C83—21no—
713C22⋊C4×C83—21no—
714C22⋊C4×C83—21no—
715C22⋊C4×C83—21no—
716C22⋊C4×C83—21no—
717C22⋊C4×C83—21no—
718C22⋊C4×C83C2×D411yescharacteristic
719C22⋊C4×C83C2×D411yescharacteristic
720C22⋊C4×C83C2×D411yescharacteristic
721C22⋊C4×C83C2×D411yescharacteristic
722C22⋊C4×C83C2×D411yescharacteristic
723C22⋊C4×C83C2×D411yescharacteristic
724C22⋊C4×C83C2×D411yescharacteristic
725C22⋊C4×C83C2×D411yescharacteristic
726C22⋊C4×C83C2×D411yescharacteristic
727C22⋊C4×C83C2×D411yescharacteristic
728C42×C83—21no—
729C42×C83—21no—
730C42×C83—21no—
731C42×C83—21no—
732C42×C83—21no—
733C42×C83C2411yescharacteristic
734C42×C83C2411yescharacteristic
735C23×C83—21no—
736C23×C83—41no—
737C23×C83—41no—
738C23×C83—41no—
739C23×C83C22×D411yescharacteristic
740C23×C83C22×D411yescharacteristic
741C23×C83C22×D411yescharacteristic
742C23×C83C22×D411yescharacteristic
743C23×C83C22×D411yescharacteristic
744C22×D83—21no—
745C22×D83—21no—
746C22×D83—21no—
747C22×D83—42no—
748C22×D83—81no—
749C22×D83—81no—
750Q8×C83—21no—
751Q8×C83—21no—
752Q8×C83—21no—
753Q8×C83—21no—
754Q8×C83—21no—
755Q8×C83—21no—
756Q8×C83—41no—
757Q8×C83—81no—
758Q8×C83—81no—
759Q8×C83—81no—
760D4×C83—21no—
761D4×C83—21no—
762D4×C83—41no—
763D4×C83—41no—
764D4×C83—41no—
765D4×C83—41no—
766D4×C83—41no—
767D4×C83—41no—
768D4×C83—41no—
769D4×C83—42no—
770D4×C83—81no—
771D4×C83—81no—
772D4×C83—81no—
773D4×C83—81no—
774C2×C4×C83—21no—
775C2×C4×C83—21no—
776C2×C4×C83—21no—
777C2×C4×C83—21no—
778C2×C4×C83—21no—
779C2×C4×C83—21no—
780C2×C4×C83—21no—
781C2×C4×C83—21no—
782C2×C4×C83—21no—
783C2×C4×C83—21no—
784C2×C4×C83—21no—
785C2×C4×C83—21no—
786C2×C4×C83—21no—
787C2×C4×C83—21no—
788C2×C4×C83—21no—
789C2×C4×C83—21no—
790C2×C4×C83—21no—
791C2×C4×C83—41no—
792C2×C4×C83—41no—
793C2×C4×C83—41no—
794C2×C4×C83—81no—
795C2×C4×C83—81no—
796C2×C4×C83—81no—
797C2×C4×C83—81no—
798C2×C4×C83—81no—
799C2×C4×C83—81no—
800C2×C4×C83—81no—
801C2×C4×C83C22×D411yescharacteristic
802C2×C4×C83C22×D411yescharacteristic
803C2×C4×C83C22×D411yescharacteristic
804C2×C4×C83C22×D411yescharacteristic
805C2×C4×C83C22×D411yescharacteristic
806C2×C4×C83C22×D411yescharacteristic
807C2×C4×C83C22×D411yescharacteristic
808C2×C4×C83C22×D411yescharacteristic
809C2×C4×C83C22×D411yescharacteristic
810C2×C4×C83C2511yescharacteristic
811C22⋊D83—42no—
812C22⋊D83—42no—
813C22⋊D83—42no—
814C22⋊D83—42no—
815C22⋊D83—42no—
816C22⋊D83—42no—
817C22⋊D83—42no—
818C22⋊D83—81no—
819C22⋊D83—81no—
820C22⋊D83—81no—
821C22⋊D83—81no—
822C22⋊D83—81no—
823C22⋊D83—81no—
824C2×Dic83—24no—
825C2×Dic83—21no—
826C2×Dic83—21no—
827C2×Dic83—21no—
828C2×Dic83—21no—
829C2×Dic83—21no—
830C2×Dic83—42no—
831C2×Dic83—42no—
832D332—21no—
833D332—21no—
834D332—21no—
835D332—21no—
836D332—21no—
837D332—21no—
838D332—42no—
839D332—81no—
840D332—81no—
841D332—81no—
842D332—81no—
843C4×D83—42no—
844C4×D83—42no—
845C4×D83—42no—
846C4×D83—42no—
847C4×D83—42no—
848C4×D83—42no—
849C4×D83—42no—
850Dic166—24no—
851Dic166—21no—
852Dic166—21no—
853Dic166—21no—
854Dic166—21no—
855Dic166—42no—
856Dic166—42no—
857Dic166H(5,𝔽2)12yes—
858Dic166H(5,𝔽2)12yes—
859C83⋊C8—21no—
860C83⋊C8—21no—
861C83⋊C8—21no—
862C83⋊C8—21no—
863C83⋊C8—21no—
864C83⋊C8—21no—
865C83⋊C8—21no—
866C83⋊C8—21no—
867C22×C83—21no—
868C22×C83—21no—
869C22×C83—21no—
870C22×C83—21no—
871C22×C83—21no—
872C22×C83—21no—
873C22×C83—21no—
874C22×C83—21no—
875C22×C83—21no—
876C22×C83—21no—
877C22×C83—21no—
878C22×C83—21no—
879C22×C83—21no—
880C22×C83—21no—
881C22×C83—21no—
882C22×C83—41no—
883C22×C83—41no—
884C22×C83—41no—
885C22×C83—82no—
886C22×C83C23×D411yescharacteristic
887C2×D83—41no—
888C2×D83—41no—
889C2×D83—41no—
890C2×D83—41no—
891C2×D83—41no—
892C2×D83—41no—
893C2×D83—41no—
894C2×D83—41no—
895C2×D83—41no—
896C2×D83—84no—
897C4×C83—21no—
898C4×C83—21no—
899C4×C83—21no—
900C4×C83—21no—
901C4×C83—21no—
902C4×C83—21no—
903C4×C83—21no—
904C4×C83—21no—
905C4×C83—21no—
906C4×C83—41no—
907C4×C83—41no—
908C4×C83—41no—
909C4×C83—41no—
910C4×C83—41no—
911C4×C83—41no—
912C4×C83—41no—
913C4×C83C2×H(5,𝔽2)11yescharacteristic
914C4×C83C2×H(5,𝔽2)11yescharacteristic
915Dic83—22no—
916Dic83—22no—
917Dic83—41no—
918Dic83—41no—
919Dic83—41no—
920#61615—831nomaximal, Sylow
921C2×C83—41no—
922C2×C83—41no—
923C2×C83—41no—
924C2×C83—41no—
925C2×C83—41no—
926C2×C83—81no—
927C2×C83#348411yescharacteristic
928C2×C83#358411yescharacteristic
929C2×C83#358611yescharacteristic
930D83—81no—
931D83—81no—
932D83—81no—
933#3541D8311yescharacteristic, complemented
934#3487—831no—
935#3333—831no—
936#3326—831no—
937#3317—831no—
938#3316—831no—
939#3313—831no—
940#3309—831no—
941#3304—831no—
942#3300—831no—
943#3285—831no—
944#3284—831no—
945#3278—831no—
946#3277—831no—
947#3271—831no—
948#3271—831no—
949#3270—831no—
950#3269—831no—
951#3224—831no—
952#3222—831no—
953#3200—831no—
954#3198—831no—
955#3197—831no—
956#3190—831no—
957#3127—831no—
958#3121—831no—
959#3013—831no—
960#3011—831no—
961#3007—831no—
962#3002—831no—
963#2976—831no—
964C83#6161511yescharacteristic, complemented, Sylow
965C2×2−1+4—831no—
966C22×#41—831no—
967C2×#137—831no—
968C2×#137—831no—
969C2×#137—831no—
970C2×#137—831no—
971C2×#135—831no—
972C2×#135—831no—
973C2×#135—831no—
974C22×Q16—831no—
975#563—21no—
976#562—21no—
977#556C2×D8311yescharacteristic, complemented
978#554—21no—
979#554C2×D8311yescharacteristic, complemented
980#553—21no—
981#553C2×D8311yescharacteristic, complemented
982#552C2×D8311yescharacteristic, complemented
983#550—831no—
984#550—831no—
985#550—831no—
986#550—831no—
987#550—1661no—
988#550—1661no—
989D4×Q8C2×D8311yescharacteristic, complemented
990#548—831no—
991#548—831no—
992#548—831no—
993#548—831no—
994#548—1661no—
995#548—1661no—
996#548C2×D8311yescharacteristic, complemented
997#548C2×D8311yescharacteristic, complemented
998#547C2×D8311yescharacteristic, complemented
999#542—21no—
1000#542C2×D8311yescharacteristic
1001#541C2×D8311yescharacteristic
1002#539—21no—
1003#538—21no—
1004#538—21no—
1005#537C2×D8311yescharacteristic
1006#536C2×D8311yescharacteristic
1007#535—831no—
1008#535—831no—
1009#535—1661no—
1010#535—1661no—
1011#525—831no—
1012#525—1661no—
1013#525—1661no—
1014#525C2×D8311yescharacteristic
1015#525C2×D8311yescharacteristic
1016C2×C22⋊Q8C2×D8311yescharacteristic
1017#519—831no—
1018#497—831no—
1019#496—831no—
1020#495—831no—
1021#492—831no—
1022#490—831no—
1023#489—831no—
1024#488—831no—
1025#486—831no—
1026#485—831no—
1027#485—831no—
1028#485—831no—
1029#485—831no—
1030#483—831no—
1031#482—831no—
1032#482—831no—
1033#482—831no—
1034#482—831no—
1035#481—831no—
1036#480—831no—
1037#480—831no—
1038#479—831no—
1039#479—831no—
1040#477—831no—
1041#475—831no—
1042#470—831no—
1043#469—831no—
1044#469—831no—
1045#468—831no—
1046#468—831no—
1047#468—831no—
1048#468—831no—
1049#468—831no—
1050#467—831no—
1051#467—831no—
1052#466—831no—
1053#465—831no—
1054#465—831no—
1055#465—831no—
1056#465—831no—
1057#465—831no—
1058#464—831no—
1059#464—831no—
1060#464—831no—
1061#464—831no—
1062#464—831no—
1063#463—831no—
1064#462—831no—
1065#462—831no—
1066#460—831no—
1067#460—831no—
1068#460—831no—
1069#459—831no—
1070#452—831no—
1071#452—831no—
1072#452—831no—
1073#452—831no—
1074#452—831no—
1075#452—831no—
1076#452—831no—
1077#452—831no—
1078#452—831no—
1079#452—831no—
1080#452—831no—
1081#452—831no—
1082#452—831no—
1083#451—831no—
1084#451—831no—
1085#451—831no—
1086#451—831no—
1087#451—831no—
1088#451—831no—
1089#451—831no—
1090#450—831no—
1091#450—831no—
1092#450—831no—
1093#449—831no—
1094#449—831no—
1095#449—831no—
1096#449—831no—
1097#449—831no—
1098#449—831no—
1099#449—831no—
1100#448—831no—
1101#448—831no—
1102#448—831no—
1103#448—831no—
1104#448—831no—
1105#447—831no—
1106#441—831no—
1107#441—831no—
1108#441—831no—
1109#440—831no—
1110C4×Q16—831no—
1111C4×Q16—831no—
1112C4×Q16—831no—
1113C4×SD16—831no—
1114#436—831no—
1115#436—831no—
1116#435—831no—
1117#435—831no—
1118#435—831no—
1119#435—831no—
1120C8×D4—831no—
1121C8×D4—831no—
1122#433—831no—
1123#433—831no—
1124#419—831no—
1125#417—831no—
1126#417—831no—
1127#417—831no—
1128#416—831no—
1129#416—831no—
1130#416—831no—
1131C2×#103—831no—
1132#408—831no—
1133#408—831no—
1134#407—831no—
1135C2×C22⋊C8—831no—
11362−1+4—3322no—
11372−1+4—3322no—
1138C2×#41—3322no—
1139C2×#41—3322no—
1140C2×#41—831no—
1141C2×#41—831no—
1142C2×#41—831no—
1143C2×#41—831no—
1144C2×#41—831no—
1145C2×#41—831no—
1146C2×#41—831no—
1147C2×#41—1661no—
1148C2×#41—1661no—
1149C2×#41—1661no—
1150C2×#41—1661no—
1151C2×#41—1661no—
1152C2×#41C22×D8311yescharacteristic
1153C2×#41C22×D8311yescharacteristic
1154C2×#41C22×D8311yescharacteristic
1155C22×Q8—831no—
1156C22×Q8—831no—
1157C22×Q8—831no—
1158C22×Q8—1661no—
1159C22×Q8C22×D8311yescharacteristic
1160C22×Q8C22×D8311yescharacteristic
1161C22×D4—831no—
1162C22×D4—1661no—
1163C23×C4—1661no—
1164C23×C4C22×D8311yescharacteristic
1165#137—3322no—
1166#137—3322no—
1167#137—3322no—
1168#137—3322no—
1169#135—3322no—
1170#135—3322no—
1171#135—3322no—
1172C2×Q16—3322no—
1173C2×Q16—831no—
1174C2×Q16—831no—
1175C2×Q16—831no—
1176C2×Q16—831no—
1177C2×Q16—831no—
1178C2×Q16—831no—
1179C2×Q16—831no—
1180C2×Q16—831no—
1181C2×Q16—831no—
1182C2×SD16—831no—
1183C2×SD16—831no—
1184C2×SD16—831no—
1185C2×SD16—831no—
1186C2×SD16—831no—
1187C2×SD16—831no—
1188C2×SD16—831no—
1189C2×SD16—831no—
1190C2×SD16—831no—
1191C2×SD16—831no—
1192C2×SD16—831no—
1193C2×SD16—831no—
1194C2×D8—831no—
1195C2×D8—831no—
1196C2×D8—831no—
1197C2×M16—831no—
1198C2×M16—831no—
1199C2×M16—831no—
1200C2×M16—831no—
1201C22×C8—831no—
1202C22×C8—831no—
1203C22×C8—831no—
1204C22×C8—831no—
1205C4⋊Q8—21no—
1206C4⋊Q8—21no—
1207C4⋊Q8C22×D8311yescharacteristic
1208C4⋊Q8C22×D8311yescharacteristic
1209#127—831no—
1210#127—831no—
1211#127—1661no—
1212#127—1661no—
1213#127—1661no—
1214#127—1661no—
1215#127—1661no—
1216#126—21no—
1217#126—21no—
1218#126—21no—
1219#126—21no—
1220#126—21no—
1221#126—21no—
1222#126—21no—
1223#125—21no—
1224#125—21no—
1225#125—21no—
1226#125—21no—
1227#125C22×D8311yescharacteristic
1228#124—21no—
1229#124—21no—
1230#124—21no—
1231#124—21no—
1232#124—21no—
1233#124—831no—
1234#124—831no—
1235#124—1661no—
1236#124—1661no—
1237#124—1661no—
1238#124—1661no—
1239#124—1661no—
1240#124C22×D8311yescharacteristic
1241#123—21no—
1242#123—21no—
1243#123—21no—
1244#123—21no—
1245#123—21no—
1246#123—21no—
1247#123—21no—
1248#123—21no—
1249#123—1661no—
1250#123C22⋊D8311yescharacteristic
1251#123C22⋊D8311yescharacteristic
1252C22⋊Q8—21no—
1253C22⋊Q8—21no—
1254C22⋊Q8—21no—
1255C22⋊Q8—21no—
1256C22⋊Q8—21no—
1257C22⋊Q8—21no—
1258C22⋊Q8—21no—
1259C22⋊Q8—21no—
1260C22⋊Q8—21no—
1261C22⋊Q8—21no—
1262C22⋊Q8—831no—
1263C22⋊Q8—831no—
1264C22⋊Q8—1661no—
1265C22⋊Q8—1661no—
1266C22⋊Q8—1661no—
1267C22⋊Q8—1661no—
1268C22⋊Q8C22⋊D8311yescharacteristic
1269C22⋊Q8C22⋊D8311yescharacteristic
1270C22⋊Q8C22×D8311yescharacteristic
1271C22⋊Q8C22×D8311yescharacteristic
1272C22⋊Q8C22×D8311yescharacteristic
1273C22⋊Q8C22×D8311yescharacteristic
1274C22⋊Q8C22×D8311yescharacteristic
1275C22⋊Q8C22×D8311yescharacteristic
1276C22⋊Q8C22×D8311yescharacteristic
1277C22⋊Q8C22×D8311yescharacteristic
1278C22⋊Q8C22×D8311yescharacteristic
1279#121—21no—
1280#121—21no—
1281#121—21no—
1282#121—21no—
1283#121—21no—
1284#121—21no—
1285#121—21no—
1286#121—831no—
1287#121—831no—
1288#121—831no—
1289#121—831no—
1290#121—831no—
1291#121—831no—
1292#121—1661no—
1293#121—1661no—
1294#121—1661no—
1295#121—1661no—
1296#121—1661no—
1297#121—1661no—
1298#121—1661no—
1299#121—1661no—
1300#121—1661no—
1301#121—1661no—
1302#121—1661no—
1303#121—1661no—
1304#121—1661no—
1305#121—1661no—
1306#121C22⋊D8311yescharacteristic
1307#121C22⋊D8311yescharacteristic
1308#121C22×D8311yescharacteristic
1309#121C22×D8311yescharacteristic
1310#121C22×D8311yescharacteristic
1311#120—21no—
1312#120—1661no—
1313#120—1661no—
1314#120—1661no—
1315#120—1661no—
1316#120—1661no—
1317#120C22⋊D8311yescharacteristic
1318#120C22⋊D8311yescharacteristic
1319C4×Q8—21no—
1320C4×Q8—831no—
1321C4×Q8—831no—
1322C4×Q8—831no—
1323C4×Q8—831no—
1324C4×Q8—1661no—
1325C4×Q8—1661no—
1326C4×Q8C22×D8311yescharacteristic
1327C4×Q8C22×D8311yescharacteristic
1328C4×Q8C22×D8311yescharacteristic
1329C4×D4—21no—
1330C4×D4—21no—
1331C4×D4—21no—
1332C4×D4—21no—
1333C4×D4—21no—
1334C4×D4—21no—
1335C4×D4—21no—
1336C4×D4—1661no—
1337C4×D4—1661no—
1338C4×D4—1661no—
1339C4×D4—1661no—
1340C4×D4—1661no—
1341C4×D4—1661no—
1342C4×D4—1661no—
1343C4×D4—1661no—
1344C4×D4—1661no—
1345C4×D4—1661no—
1346C4×D4C22×D8311yescharacteristic
1347C4×D4C22×D8311yescharacteristic
1348C4×D4C22×D8311yescharacteristic
1349C4×D4C22×D8311yescharacteristic
1350C4×D4C22×D8311yescharacteristic
1351#117—21no—
1352#117—831no—
1353#117—1661no—
1354#117—1661no—
1355#117C22×D8311yescharacteristic
1356#117C22×D8311yescharacteristic
1357#117C22×D8311yescharacteristic
1358C2×C4⋊C4—21no—
1359C2×C4⋊C4—21no—
1360C2×C4⋊C4C22×D8311yescharacteristic
1361C2×C4⋊C4C22×D8311yescharacteristic
1362C2×C22⋊C4—21no—
1363#107—831no—
1364#107—831no—
1365#107—831no—
1366#107—831no—
1367#106—831no—
1368#106—831no—
1369#106—831no—
1370#106—831no—
1371C4⋊C8—831no—
1372C4⋊C8—831no—
1373C4⋊C8—831no—
1374C4⋊C8—831no—
1375#103—831no—
1376#103—831no—
1377#103—831no—
1378#103—831no—
1379#103—831no—
1380#103—831no—
1381#103—831no—
1382#103—831no—
1383#103—831no—
1384#103—831no—
1385#103—831no—
1386#103—831no—
1387#103—831no—
1388#103—831no—
1389#103—831no—
1390#103—831no—
1391#103—831no—
1392#103—831no—
1393#102—831no—
1394#102—831no—
1395#102—831no—
1396#102—831no—
1397#102—831no—
1398#102—831no—
1399#102—831no—
1400#102—831no—
1401#102—831no—
1402#102—831no—
1403#102—831no—
1404#102—831no—
1405#102—831no—
1406#102—831no—
1407C22⋊C8—831no—
1408C22⋊C8—831no—
1409C22⋊C8—831no—
1410C22⋊C8—831no—
1411C22⋊C8—831no—
1412C22⋊C8—831no—
1413C22⋊C8—831no—
1414C22⋊C8—831no—
1415C22⋊C8—831no—
1416C22⋊C8—831no—
1417C22⋊C8—831no—
1418C22⋊C8—831no—
1419#97—831no—
1420#97—831no—
1421C4×C8—831no—
1422C4×C8—831no—
1423C24—1661no—
1424C24C2×C22⋊D8311yescharacteristic
1425#41—41no—
1426#41—41no—
1427#41—41no—
1428#41—41no—
1429#41—41no—
1430#41—41no—
1431#41—3321no—
1432#41—3321no—
1433#41—3321no—
1434#41—3321no—
1435#41—3321no—
1436#41—3321no—
1437#41—3321no—
1438#41—3321no—
1439#41—3324no—
1440#41—3324no—
1441#41—3324no—
1442#41—3324no—
1443#41—3324no—
1444#41—1662no—
1445#41—1662no—
1446#41—1662no—
1447#41—1662no—
1448#41—1662no—
1449#41—1662no—
1450C2×Q8—21no—
1451C2×Q8—21no—
1452C2×Q8—21no—
1453C2×Q8—41no—
1454C2×Q8—41no—
1455C2×Q8—41no—
1456C2×Q8—41no—
1457C2×Q8—3321no—
1458C2×Q8—3321no—
1459C2×Q8—3324no—
1460C2×Q8—831no—
1461C2×Q8—831no—
1462C2×Q8—831no—
1463C2×Q8—1662no—
1464C2×Q8—1662no—
1465C2×Q8—1662no—
1466C2×Q8—1662no—
1467C2×Q8—1661no—
1468C2×Q8—1661no—
1469C2×Q8—1661no—
1470C2×Q8C2×C22⋊D8311yescharacteristic
1471C2×Q8C23×D8311yescharacteristic
1472C2×Q8C23×D8311yescharacteristic
1473C2×Q8C23×D8311yescharacteristic
1474C2×D4—21no—
1475C2×D4—21no—
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—3321no—
1480C2×D4—3321no—
1481C2×D4—3324no—
1482C2×D4—831no—
1483C2×D4—831no—
1484C2×D4—831no—
1485C2×D4—1661no—
1486C2×D4—1661no—
1487C2×D4—1661no—
1488C2×D4—1661no—
1489C2×D4—1661no—
1490C2×D4—1661no—
1491C2×D4—1661no—
1492C2×D4—1661no—
1493C2×D4—1661no—
1494C2×D4—1661no—
1495C2×D4—1661no—
1496C2×D4—1661no—
1497C2×D4—1661no—
1498C2×D4—1661no—
1499C2×D4—1661no—
1500C2×D4—1661no—
1501C2×D4—1661no—
1502C2×D4—1661no—
1503C2×D4C2×C22⋊D8311yescharacteristic
1504C2×D4C2×C22⋊D8311yescharacteristic
1505C2×D4C2×C22⋊D8311yescharacteristic
1506C2×D4C2×C22⋊D8311yescharacteristic
1507C2×D4C2×C22⋊D8311yescharacteristic
1508C2×D4C2×C22⋊D8311yescharacteristic
1509C2×D4C2×C22⋊D8311yescharacteristic
1510C2×D4C23×D8311yescharacteristic
1511C22×C4—21no—
1512C22×C4—21no—
1513C22×C4—21no—
1514C22×C4—21no—
1515C22×C4—21no—
1516C22×C4—21no—
1517C22×C4—21no—
1518C22×C4—41no—
1519C22×C4—41no—
1520C22×C4—3324no—
1521C22×C4—1661no—
1522C22×C4—1661no—
1523C22×C4—1661no—
1524C22×C4—1661no—
1525C22×C4—1661no—
1526C22×C4—1661no—
1527C22×C4—1661no—
1528C22×C4—1661no—
1529C22×C4—1661no—
1530C22×C4—1661no—
1531C22×C4C2×C22⋊D8311yescharacteristic
1532C22×C4C2×C22⋊D8311yescharacteristic
1533C22×C4C2×C22⋊D8311yescharacteristic
1534C22×C4C23×D8311yescharacteristic
1535C22×C4C23×D8311yescharacteristic
1536C22×C4C23×D8311yescharacteristic
1537C22×C4C23×D8311yescharacteristic
1538C22×C4C23×D8311yescharacteristic
1539Q16—3321no—
1540Q16—3321no—
1541Q16—3321no—
1542Q16—1662no—
1543Q16—1662no—
1544Q16—1662no—
1545Q16—1662no—
1546Q16—1662no—
1547Q16—1662no—
1548SD16—3321no—
1549SD16—3321no—
1550SD16—3321no—
1551SD16—3321no—
1552SD16—3321no—
1553SD16—3321no—
1554SD16—3321no—
1555SD16—3321no—
1556SD16—3321no—
1557SD16—3321no—
1558SD16—1662no—
1559SD16—1662no—
1560D8—3321no—
1561D8—3321no—
1562D8—3321no—
1563M16—3321no—
1564M16—3321no—
1565M16—3321no—
1566M16—3321no—
1567C2×C8—3321no—
1568C2×C8—3321no—
1569C2×C8—3321no—
1570C2×C8—3321no—
1571C2×C8—831no—
1572C2×C8—831no—
1573C2×C8—831no—
1574C2×C8—831no—
1575C2×C8—831no—
1576C2×C8—831no—
1577C2×C8—831no—
1578C2×C8—831no—
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—21no—
1584C4⋊C4—21no—
1585C4⋊C4—21no—
1586C4⋊C4—21no—
1587C4⋊C4—21no—
1588C4⋊C4—21no—
1589C4⋊C4—21no—
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—21no—
1597C4⋊C4—21no—
1598C4⋊C4—831no—
1599C4⋊C4—831no—
1600C4⋊C4—1661no—
1601C4⋊C4—1661no—
1602C4⋊C4—1661no—
1603C4⋊C4—1661no—
1604C4⋊C4—1661no—
1605C4⋊C4—1661no—
1606C4⋊C4C2×C22⋊D8311yescharacteristic
1607C4⋊C4C2×C22⋊D8311yescharacteristic
1608C4⋊C4C2×C22⋊D8311yescharacteristic
1609C4⋊C4C2×C22⋊D8311yescharacteristic
1610C4⋊C4C2×C22⋊D8311yescharacteristic
1611C4⋊C4C2×C22⋊D8311yescharacteristic
1612C4⋊C4C23×D8311yescharacteristic
1613C4⋊C4C23×D8311yescharacteristic
1614C4⋊C4C23×D8311yescharacteristic
1615C4⋊C4C23×D8311yescharacteristic
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—1661no—
1634C22⋊C4—1661no—
1635C22⋊C4—1661no—
1636C22⋊C4—1661no—
1637C22⋊C4—1661no—
1638C22⋊C4—1661no—
1639C22⋊C4—1661no—
1640C22⋊C4—1661no—
1641C22⋊C4—1661no—
1642C22⋊C4—1661no—
1643C22⋊C4—1661no—
1644C22⋊C4—1661no—
1645C22⋊C4—1661no—
1646C22⋊C4C2×C22⋊D8311yescharacteristic
1647C22⋊C4C2×C22⋊D8311yescharacteristic
1648C22⋊C4C2×C22⋊D8311yescharacteristic
1649C22⋊C4C2×C22⋊D8311yescharacteristic
1650C22⋊C4C2×C22⋊D8311yescharacteristic
1651C22⋊C4C2×C22⋊D8311yescharacteristic
1652C22⋊C4C2×C22⋊D8311yescharacteristic
1653C22⋊C4C2×C22⋊D8311yescharacteristic
1654C22⋊C4C2×C22⋊D8311yescharacteristic
1655C22⋊C4C2×C22⋊D8311yescharacteristic
1656C42—21no—
1657C42—21no—
1658C42—21no—
1659C42—21no—
1660C42—21no—
1661C42—1661no—
1662C42—1661no—
1663C42—1661no—
1664C42—1661no—
1665C42—1661no—
1666C42C23×D8311yescharacteristic
1667C42C23×D8311yescharacteristic
1668C23—21no—
1669C23—41no—
1670C23—41no—
1671C23—41no—
1672C23—3322no—
1673C23—6641no—
1674C23—6641no—
1675C23—1661no—
1676C23—1661no—
1677C23—1661no—
1678C23C22×C22⋊D8311yescharacteristic
1679C23C22×C22⋊D8311yescharacteristic
1680C23C22×C22⋊D8311yescharacteristic
1681C23C22×C22⋊D8311yescharacteristic
1682C23C22×C22⋊D8311yescharacteristic
1683Q8—21no—
1684Q8—21no—
1685Q8—21no—
1686Q8—21no—
1687Q8—21no—
1688Q8—21no—
1689Q8—41no—
1690Q8—81no—
1691Q8—81no—
1692Q8—81no—
1693Q8—3322no—
1694Q8—3322no—
1695Q8—832no—
1696Q8—832no—
1697Q8—1664no—
1698Q8—1661no—
1699Q8—1661no—
1700Q8—1661no—
1701Q8—1661no—
1702D4—21no—
1703D4—21no—
1704D4—41no—
1705D4—41no—
1706D4—41no—
1707D4—41no—
1708D4—41no—
1709D4—41no—
1710D4—41no—
1711D4—42no—
1712D4—81no—
1713D4—81no—
1714D4—81no—
1715D4—81no—
1716D4—3322no—
1717D4—3322no—
1718D4—3322no—
1719D4—3322no—
1720D4—3322no—
1721D4—3322no—
1722D4—3322no—
1723D4—3322no—
1724D4—6641no—
1725D4—6641no—
1726D4—6641no—
1727D4—6641no—
1728D4—6641no—
1729D4—6641no—
1730D4—6641no—
1731D4—6641no—
1732D4—6641no—
1733D4—6641no—
1734D4—1661no—
1735D4—1661no—
1736D4—1661no—
1737D4—1661no—
1738D4—1661no—
1739D4—1661no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—41no—
1758C2×C4—41no—
1759C2×C4—41no—
1760C2×C4—81no—
1761C2×C4—81no—
1762C2×C4—81no—
1763C2×C4—81no—
1764C2×C4—81no—
1765C2×C4—81no—
1766C2×C4—81no—
1767C2×C4—3322no—
1768C2×C4—3322no—
1769C2×C4—3322no—
1770C2×C4—3322no—
1771C2×C4—3322no—
1772C2×C4—3322no—
1773C2×C4—3322no—
1774C2×C4—3322no—
1775C2×C4—3322no—
1776C2×C4—1661no—
1777C2×C4—1661no—
1778C2×C4—1661no—
1779C2×C4—1664no—
1780C2×C4—1661no—
1781C2×C4—1661no—
1782C2×C4C22×C22⋊D8311yescharacteristic
1783C2×C4C22×C22⋊D8311yescharacteristic
1784C2×C4C22×C22⋊D8311yescharacteristic
1785C2×C4C22×C22⋊D8311yescharacteristic
1786C2×C4C22×C22⋊D8311yescharacteristic
1787C2×C4C22×C22⋊D8311yescharacteristic
1788C2×C4C22×C22⋊D8311yescharacteristic
1789C2×C4C22×C22⋊D8311yescharacteristic
1790C2×C4C22×C22⋊D8311yescharacteristic
1791C2×C4C24×D8311yescharacteristic
1792C8—1661no—
1793C8—1661no—
1794C8—1661no—
1795C8—1661no—
1796C8—1661no—
1797C8—1661no—
1798C8—1661no—
1799C8—1661no—
1800C22—21no—
1801C22—21no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—21no—
1807C22—21no—
1808C22—21no—
1809C22—21no—
1810C22—21no—
1811C22—21no—
1812C22—21no—
1813C22—21no—
1814C22—21no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—82no—
1819C22—3321no—
1820C22—3321no—
1821C22—3321no—
1822C22—3321no—
1823C22—3321no—
1824C22—3321no—
1825C22—3321no—
1826C22—3321no—
1827C22—3321no—
1828C22—6644no—
1829C22C23×C22⋊D8311yescharacteristic
1830C4—21no—
1831C4—21no—
1832C4—21no—
1833C4—21no—
1834C4—21no—
1835C4—21no—
1836C4—21no—
1837C4—21no—
1838C4—21no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—3321no—
1847C4—3321no—
1848C4—3321no—
1849C4—1662no—
1850C4—1662no—
1851C4H(5,𝔽2)×D8311yescharacteristic
1852C4H(5,𝔽2)×D8311yescharacteristic
1853C2—41no—
1854C2—41no—
1855C2—41no—
1856C2—41no—
1857C2—41no—
1858C2—81no—
1859C2—6641no—
1860C2—6641no—
1861C2—6641no—
1862C2#2492109411yescharacteristic
1863C2#2492223411yescharacteristic
1864C2#2492225011yescharacteristic
subgroupG/H
centerC22C23×C22⋊D83
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC83×#3541C2
socleC22×C83C23×D4
hypercenter#3541D83
hypocenterC83#61615
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C22 ◁ #525 ◁ #3541

Complements

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

NH ≅ G/Ntype
1. #24921117C2semidirect
2. #24919795C2semidirect
3. #24919710C2semidirect
4. #24919583C2semidirect
5. #24919568C2semidirect
6. #24919523C2semidirect
7. #24919463C2semidirect
8. #24919396C2semidirect
9. #24919344C2semidirect
10. #24919200C2semidirect
11. #24919189C2semidirect
12. #24919125C2semidirect
13. #24919116C2semidirect
14. #24919049C2semidirect
15. #24919049C2semidirect
16. #24919034C2semidirect
17. #24919014C2semidirect
18. #24918551C2semidirect
19. #24918529C2semidirect
20. #24918330C2semidirect
21. #24918309C2semidirect
22. #24918300C2semidirect
23. #24918244C2semidirect
24. #24917758C2semidirect
25. #24917686C2semidirect
26. #24916775C2semidirect
27. #24916756C2semidirect
28. #24916721C2semidirect
29. #24916679C2semidirect
30. #24916511C2semidirect
31. C83×#3541C2semidirect
36. C2×#14581823C22semidirect
37. C2×#14581822C22semidirect
40. C2×#14581812C22semidirect
41. C22×#13050580C22semidirect
62. #19128093C22semidirect
63. #19128091C22semidirect
64. #19128083C22semidirect
65. #19128075C22semidirect
66. #19128067C22semidirect
67. #19128063C22semidirect
68. #19128058C22semidirect
69. #19128049C22semidirect
70. #19128042C22semidirect
74. #19128031C22semidirect
75. #19128025C22semidirect
76. #19128025C22semidirect
77. #19128025C22semidirect
79. #19128019C22semidirect
80. #19128014C22semidirect
81. #19128014C22semidirect
82. #19128005C22semidirect
83. #19128005C22semidirect
84. #19127993C22semidirect
85. #19127983C22semidirect
86. #19127957C22semidirect
87. #19127952C22semidirect
88. #19127952C22semidirect
89. #19127949C22semidirect
90. #19127949C22semidirect
91. #19127949C22semidirect
92. #19127949C22semidirect
93. #19127945C22semidirect
94. #19127940C22semidirect
95. #19127940C22semidirect
96. #19127935C22semidirect
97. #19127932C22semidirect
98. #19127932C22semidirect
99. #19127932C22semidirect
100. #19127932C22semidirect
101. #19127932C22semidirect
102. #19127923C22semidirect
103. #19127923C22semidirect
104. #19127923C22semidirect
105. #19127920C22semidirect
106. #19127920C22semidirect
107. #19127916C22semidirect
108. #19127908C22semidirect
109. #19127908C22semidirect
110. #19127901C22semidirect
111. #19127901C22semidirect
112. #19127901C22semidirect
113. #19127896C22semidirect
114. #19127863C22semidirect
124. #19127861C22semidirect
125. #19127861C22semidirect
126. #19127861C22semidirect
127. #19127857C22semidirect
131. #19127856C22semidirect
132. #19127856C22semidirect
133. #19127856C22semidirect
137. #19127846C22semidirect
138. #19127846C22semidirect
139. #19127846C22semidirect
143. #19127844C22semidirect
144. #19127840C22semidirect
145. #19127840C22semidirect
146. #19127840C22semidirect
148. #19127839C22semidirect
150. #19127806C22semidirect
151. #19127806C22semidirect
152. #19127806C22semidirect
153. #19127801C22semidirect
154. C4×#13050580C22semidirect
155. C4×#13050580C22semidirect
156. C4×#13050580C22semidirect
157. C4×#13050578C22semidirect
158. #19127779C22semidirect
159. #19127779C22semidirect
160. #19127773C22semidirect
161. #19127773C22semidirect
162. #19127773C22semidirect
163. #19127773C22semidirect
164. D4×C83⋊C8C22semidirect
165. D4×C83⋊C8C22semidirect
168. #19127709C22semidirect
171. #19127700C22semidirect
174. #19127695C22semidirect
175. C2×#14581715C22semidirect
182. #556×C83C22semidirect
184. #554×C83C22semidirect
186. #553×C83C22semidirect
187. #552×C83C22semidirect
188. D4×Q8×C83C22semidirect
189. #548×C83C22semidirect
190. #548×C83C22semidirect
191. #547×C83C22semidirect
933. #3541D83semidirect
964. C83#61615semidirect
977. #556C2×D83semidirect
979. #554C2×D83semidirect
981. #553C2×D83semidirect
982. #552C2×D83semidirect
989. D4×Q8C2×D83semidirect
996. #548C2×D83semidirect
997. #548C2×D83semidirect
998. #547C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249211172
#249197952
#249197102
#249195832
#249195682
#249195232
#249194632
#249193962
#249193442
#249192002
#249191892
#249191252
#249191162
#249190492
#249190342
#249190142
#249185512
#249185292
#249183302
#249183092
#249183002
#249182442
#249177582
#249176862
#249167752
#249167562
#249167212
#249166792
#249165112
C83×#35412
#6161583