Finite Group Databasebeta

← #36298168

Subgroups — #36298168

Order 21248.

1850 conjugacy classes of subgroups.

The subgroup lattice has 1788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24921837C211yesmaximal, characteristic, complemented
2#24920523C211yesmaximal, characteristic, complemented
3#24920501C211yesmaximal, characteristic, complemented
4#24920305C211yesmaximal, characteristic, complemented
5#24920192C211yesmaximal, characteristic, complemented
6#24919613C211yesmaximal, characteristic, complemented
7#24919598C211yesmaximal, characteristic, complemented
8#24919583C211yesmaximal, characteristic, complemented
9#24919433C211yesmaximal, characteristic, complemented
10#24919407C211yesmaximal, characteristic, complemented
11#24919292C211yesmaximal, characteristic, complemented
12#24919219C211yesmaximal, characteristic, complemented
13#24919171C211yesmaximal, characteristic, complemented
14#24919049C211yesmaximal, characteristic, complemented
15#24919019C211yesmaximal, characteristic, complemented
16#24919004C211yesmaximal, characteristic, complemented
17#24918959C211yesmaximal, characteristic, complemented
18#24918919C211yesmaximal, characteristic, complemented
19#24918868C211yesmaximal, characteristic, complemented
20#24918789C211yesmaximal, characteristic, complemented
21#24918551C211yesmaximal, characteristic, complemented
22#24918507C211yesmaximal, characteristic, complemented
23#24918496C211yesmaximal, characteristic, complemented
24#24917740C211yesmaximal, characteristic, complemented
25#24917692C211yesmaximal, characteristic, complemented
26#24917614C211yesmaximal, characteristic, complemented
27#24917002C211yesmaximal, characteristic, complemented
28#24916984C211yesmaximal, characteristic, complemented
29#24916918C211yesmaximal, characteristic, complemented
30#24916602C211yesmaximal, characteristic, complemented
31C83×#3524C211yesmaximal, characteristic, complemented
32C2×#14581823C2211yescharacteristic, complemented
33C2×#14581817C2211yescharacteristic
34C2×#14581812C2211yescharacteristic, complemented
35C2×#14581812C2211yescharacteristic, complemented
36C2×#14581812C2211yescharacteristic, complemented
37C22×#13050577C2211yescharacteristic
38#19128441—21no—
39#19128441—21no—
40#19128424C2211yescharacteristic
41#19128404—21no—
42#19128373C2211yescharacteristic
43#19128372C2211yescharacteristic
44#19128372C2211yescharacteristic
45#19128356C2211yescharacteristic
46#19128347C2211yescharacteristic
47#19128347C2211yescharacteristic
48#19128344—21no—
49D4×D332C2211yescharacteristic
50#19128322C2211yescharacteristic
51#19128322C2211yescharacteristic
52#19128290—21no—
53#19128290—21no—
54#19128281—21no—
55#19128270C2211yescharacteristic
56#19128270C2211yescharacteristic
57#19128267—21no—
58#19128251C2211yescharacteristic
59#19128251C2211yescharacteristic
60#19128096C2211yescharacteristic, complemented
61#19128091C2211yescharacteristic
62#19128091C2211yescharacteristic, complemented
63#19128088C2211yescharacteristic
64#19128083C2211yescharacteristic
65#19128077C2211yescharacteristic, complemented
66#19128071C2211yescharacteristic, complemented
67#19128067C2211yescharacteristic
68#19128067C2211yescharacteristic, complemented
69#19128063C2211yescharacteristic
70#19128058C2211yescharacteristic
71#19128049C2211yescharacteristic, complemented
72#19128042C2211yescharacteristic, complemented
73#19128031C2211yescharacteristic, complemented
74#19128025C2211yescharacteristic
75#19128025C2211yescharacteristic
76#19128025C2211yescharacteristic, complemented
77#19128019C2211yescharacteristic
78#19128005C2211yescharacteristic, complemented
79#19127998C2211yescharacteristic
80#19127998C2211yescharacteristic, complemented
81#19127998C2211yescharacteristic, complemented
82#19127996C2211yescharacteristic, complemented
83#19127993C2211yescharacteristic, complemented
84#19127991C2211yescharacteristic, complemented
85#19127986C2211yescharacteristic, complemented
86#19127981C2211yescharacteristic, complemented
87#19127978C2211yescharacteristic, complemented
88#19127952C2211yescharacteristic
89#19127949C2211yescharacteristic
90#19127945C2211yescharacteristic, complemented
91#19127945C2211yescharacteristic, complemented
92#19127940C2211yescharacteristic, complemented
93#19127935C2211yescharacteristic
94#19127935C2211yescharacteristic
95#19127935C2211yescharacteristic
96#19127935C2211yescharacteristic, complemented
97#19127932C2211yescharacteristic
98#19127932C2211yescharacteristic, complemented
99#19127928C2211yescharacteristic, complemented
100#19127923C2211yescharacteristic
101#19127923C2211yescharacteristic
102#19127923C2211yescharacteristic
103#19127923C2211yescharacteristic, complemented
104#19127923C2211yescharacteristic, complemented
105#19127923C2211yescharacteristic, complemented
106#19127923C2211yescharacteristic, complemented
107#19127920C2211yescharacteristic, complemented
108#19127916C2211yescharacteristic
109#19127916C2211yescharacteristic, complemented
110#19127916C2211yescharacteristic, complemented
111#19127916C2211yescharacteristic, complemented
112#19127916C2211yescharacteristic, complemented
113#19127913C2211yescharacteristic
114#19127913C2211yescharacteristic, complemented
115#19127913C2211yescharacteristic, complemented
116#19127911C2211yescharacteristic, complemented
117#19127906C2211yescharacteristic, complemented
118#19127901C2211yescharacteristic
119#19127901C2211yescharacteristic
120#19127901C2211yescharacteristic
121#19127901C2211yescharacteristic, complemented
122#19127901C2211yescharacteristic, complemented
123#19127901C2211yescharacteristic, complemented
124#19127898C2211yescharacteristic, complemented
125#19127896C2211yescharacteristic
126#19127896C2211yescharacteristic
127#19127896C2211yescharacteristic
128#19127896C2211yescharacteristic, complemented
129#19127893C2211yescharacteristic, complemented
130#19127863C2211yescharacteristic, complemented
131#19127861C2211yescharacteristic, complemented
132#19127861C2211yescharacteristic, complemented
133#19127861C2211yescharacteristic, complemented
134#19127857C2211yescharacteristic, complemented
135#19127851C2211yescharacteristic
136#19127846C2211yescharacteristic
137#19127846C2211yescharacteristic
138#19127846C2211yescharacteristic, complemented
139#19127844C2211yescharacteristic, complemented
140#19127844C2211yescharacteristic, complemented
141#19127844C2211yescharacteristic, complemented
142#19127844C2211yescharacteristic, complemented
143#19127844C2211yescharacteristic, complemented
144#19127840C2211yescharacteristic
145#19127834C2211yescharacteristic
146#19127834C2211yescharacteristic
147#19127834C2211yescharacteristic
148#19127832C2211yescharacteristic, complemented
149#19127832C2211yescharacteristic, complemented
150#19127811C2211yescharacteristic
151#19127811C2211yescharacteristic, complemented
152#19127811C2211yescharacteristic, complemented
153#19127806C2211yescharacteristic, complemented
154#19127806C2211yescharacteristic, complemented
155#19127799C2211yescharacteristic
156#19127799C2211yescharacteristic, complemented
157#19127799C2211yescharacteristic, complemented
158C4×#13050580C2211yescharacteristic, complemented
159C4×#13050577C2211yescharacteristic, complemented
160C4×#13050577C2211yescharacteristic, complemented
161C4×#13050578C2211yescharacteristic, complemented
162#19127773C2211yescharacteristic
163#19127773C2211yescharacteristic
164#19127773C2211yescharacteristic, complemented
165#19127773C2211yescharacteristic, complemented
166D4×C83⋊C8C2211yescharacteristic, complemented
167D4×C83⋊C8C2211yescharacteristic, complemented
168#19127762C2211yescharacteristic, complemented
169#19127762C2211yescharacteristic, complemented
170#19127758C2211yescharacteristic, complemented
171#19127728C2211yescharacteristic, complemented
172#19127728C2211yescharacteristic, complemented
173C2×C4⋊(C83⋊C8)C2211yescharacteristic, complemented
174#19127705C2211yescharacteristic
175#19127700C2211yescharacteristic, complemented
176#19127695C2211yescharacteristic, complemented
177#19127695C2211yescharacteristic, complemented
178#19127695C2211yescharacteristic, complemented
179C2×#14581712C2211yescharacteristic
180#559×C83—21no—
181#559×C83C2211yescharacteristic, complemented
182#557×C83C2211yescharacteristic, complemented
183#555×C83—21no—
184#555×C83C2211yescharacteristic, complemented
185#553×C83—21no—
186#553×C83C2211yescharacteristic
187#552×C83—21no—
188#552×C83C2211yescharacteristic, complemented
189#550×C83C2211yescharacteristic, complemented
190#548×C83C2211yescharacteristic
191#548×C83C2211yescharacteristic, complemented
192#542×C83—21no—
193#542×C83C2211yescharacteristic, complemented
194#540×C83—21no—
195#540×C83C2211yescharacteristic, complemented
196#529×C83—21no—
197#529×C83—21no—
198#529×C83C2211yescharacteristic
199#529×C83C2211yescharacteristic, complemented
200#520×C83C2211yescharacteristic, complemented
201#519×C83C2211yescharacteristic, complemented
202C4×#41×C83C2211yescharacteristic, complemented
203C2×#13050591—21no—
204C2×#13050590—21no—
205C2×#13050590C2311yescharacteristic
206C2×#13050590C2311yescharacteristic
207C2×#13050590C2311yescharacteristic
208C2×#13050590C2311yescharacteristic
209C22×D332C2311yescharacteristic
210C22×D332C2311yescharacteristic
211C2×D4×D83—21no—
212#14581823—42no—
213#14581817—42no—
214#14581812—42no—
215#14581812—42no—
216#14581812—42no—
217C2×#13050580C2311yescharacteristic
218C2×#13050580C2311yescharacteristic
219C2×#13050580C2311yescharacteristic
220C2×#13050580C2311yescharacteristic
221C2×#13050578C2311yescharacteristic
222C2×#13050578C2311yescharacteristic
223C2×#13050578C2311yescharacteristic
224C2×#13050578C2311yescharacteristic
225C2×#13050577—42no—
226C2×#13050577C2311yescharacteristic
227C2×#13050577C2311yescharacteristic
228C2×#13050577C2311yescharacteristic
229C2×#13050577C2311yescharacteristic
230C2×#13050577C2311yescharacteristic
231C2×#13050577C2311yescharacteristic
232C2×#13050577C2311yescharacteristic
233C2×#13050577C2311yescharacteristic
234C2×#13050575C2311yescharacteristic
235C2×#13050575C2311yescharacteristic
236C2×#13050575C2311yescharacteristic
237C2×#13050575C2311yescharacteristic
238C2×#13050575C2311yescharacteristic
239C2×#13050575C2311yescharacteristic
240C2×#13050575C2311yescharacteristic
241C2×#13050575C2311yescharacteristic
242C2×#13050574C2311yescharacteristic
243C2×#13050574C2311yescharacteristic
244C22×C83⋊C8C2311yescharacteristic
245C22×C83⋊C8C2311yescharacteristic
246C22×C83⋊C8C2311yescharacteristic
247C22×C83⋊C8C2311yescharacteristic
248#14581792C2311yescharacteristic
249#14581792C2311yescharacteristic
250#14581789C2311yescharacteristic
251#14581789C2311yescharacteristic
252#14581789C2311yescharacteristic
253#14581789C2311yescharacteristic
254#14581788—21no—
255#14581788—21no—
256#14581787—21no—
257#14581787—21no—
258#14581787—21no—
259#14581787—21no—
260#14581780—21no—
261#14581780C2311yescharacteristic
262#14581780C2311yescharacteristic
263#14581780C2311yescharacteristic
264#14581780C2311yescharacteristic
265#14581778—21no—
266#14581778—21no—
267#14581777—21no—
268#14581777—21no—
269#14581774—21no—
270#14581774—21no—
271#14581774—21no—
272#14581774—21no—
273#14581771C2311yescharacteristic
274#14581771C2311yescharacteristic
275#14581770—21no—
276#14581770—21no—
277#14581768—21no—
278#14581767—21no—
279#14581767—21no—
280#14581767—21no—
281#14581767—21no—
282#14581767—21no—
283#14581767—21no—
284#14581767—21no—
285#14581767—21no—
286#14581766—21no—
287#14581766—21no—
288#14581766—21no—
289#14581766C2311yescharacteristic
290#14581766C2311yescharacteristic
291#14581766C2311yescharacteristic
292#14581766C2311yescharacteristic
293#14581765—21no—
294#14581765—21no—
295#14581765—21no—
296#14581765—21no—
297#14581765—21no—
298#14581765—21no—
299#14581763—21no—
300#14581762—21no—
301#14581762—21no—
302#14581762—21no—
303#14581762—21no—
304#14581762—21no—
305#14581762—21no—
306#14581760—21no—
307#14581760—21no—
308C4×Dic166C2311yescharacteristic
309C4×Dic166C2311yescharacteristic
310C4×D332—21no—
311C4×D332—21no—
312C4×D332—21no—
313C4×D332C2311yescharacteristic
314C4×D332C2311yescharacteristic
315C4×D332C2311yescharacteristic
316C4×D332C2311yescharacteristic
317#14581754—21no—
318#14581754—21no—
319#14581750—21no—
320C4⋊C4×D83—21no—
321C22⋊C4×D83—21no—
322C22⋊C4×D83—21no—
323#14581725C2311yescharacteristic
324#14581725C2311yescharacteristic
325#14581725C2311yescharacteristic
326#14581725C2311yescharacteristic
327#14581723C2311yescharacteristic
328#14581723C2311yescharacteristic
329#14581723C2311yescharacteristic
330#14581723C2311yescharacteristic
331C4⋊(C83⋊C8)C2311yescharacteristic
332C4⋊(C83⋊C8)C2311yescharacteristic
333C4⋊(C83⋊C8)C2311yescharacteristic
334C4⋊(C83⋊C8)C2311yescharacteristic
335C4⋊(C83⋊C8)C2311yescharacteristic
336C4⋊(C83⋊C8)C2311yescharacteristic
337C4⋊(C83⋊C8)C2311yescharacteristic
338C4⋊(C83⋊C8)C2311yescharacteristic
339C4⋊(C83⋊C8)C2311yescharacteristic
340C4⋊(C83⋊C8)C2311yescharacteristic
341#14581716C2311yescharacteristic
342#14581716C2311yescharacteristic
343#14581716C2311yescharacteristic
344#14581716C2311yescharacteristic
345#14581715C2311yescharacteristic
346#14581715C2311yescharacteristic
347#14581715C2311yescharacteristic
348#14581715C2311yescharacteristic
349#14581715C2311yescharacteristic
350#14581715C2311yescharacteristic
351#14581715C2311yescharacteristic
352#14581715C2311yescharacteristic
353#14581713C2311yescharacteristic
354#14581713C2311yescharacteristic
355#14581713C2311yescharacteristic
356#14581713C2311yescharacteristic
357#14581712C2311yescharacteristic
358#14581712C2311yescharacteristic
359#14581712C2311yescharacteristic
360#14581712C2311yescharacteristic
361#14581712C2311yescharacteristic
362#14581712C2311yescharacteristic
363#14581712C2311yescharacteristic
364#14581712C2311yescharacteristic
365#14581712C2311yescharacteristic
366#14581712C2311yescharacteristic
367#14581712C2311yescharacteristic
368#14581712C2311yescharacteristic
369#14581712C2311yescharacteristic
370#14581712C2311yescharacteristic
371#14581712C2311yescharacteristic
372#14581712C2311yescharacteristic
373C22⋊(C83⋊C8)C2311yescharacteristic
374C22⋊(C83⋊C8)C2311yescharacteristic
375C22⋊(C83⋊C8)C2311yescharacteristic
376C22⋊(C83⋊C8)C2311yescharacteristic
377C22⋊(C83⋊C8)C2311yescharacteristic
378C22⋊(C83⋊C8)C2311yescharacteristic
379#14581703C2311yescharacteristic
380#14581703C2311yescharacteristic
381#14581703C2311yescharacteristic
382#14581703C2311yescharacteristic
383C4×C83⋊C8C2311yescharacteristic
384C4×C83⋊C8C2311yescharacteristic
385C2×#41×C83C2311yescharacteristic
386C2×#41×C83C2311yescharacteristic
387C22×Q8×C83C2311yescharacteristic
388C4⋊Q8×C83—21no—
389C4⋊Q8×C83C2311yescharacteristic
390#127×C83—21no—
391#127×C83C2311yescharacteristic
392#126×C83—21no—
393#126×C83—21no—
394#126×C83—21no—
395#126×C83—21no—
396#126×C83D411yescharacteristic
397#126×C83D411yescharacteristic
398#125×C83—21no—
399#125×C83—21no—
400#125×C83—21no—
401#125×C83D411yescharacteristic
402#125×C83C2311yescharacteristic
403#125×C83C2311yescharacteristic
404#124×C83—21no—
405#124×C83—21no—
406#124×C83—21no—
407#124×C83—21no—
408#124×C83—21no—
409#124×C83—21no—
410#124×C83D411yescharacteristic
411#124×C83C2311yescharacteristic
412#124×C83C2311yescharacteristic
413#123×C83—21no—
414#123×C83—21no—
415#123×C83—21no—
416#123×C83—21no—
417#123×C83—21no—
418#123×C83—21no—
419#123×C83—21no—
420#123×C83—21no—
421#123×C83D411yescharacteristic
422#123×C83D411yescharacteristic
423C22⋊Q8×C83—21no—
424C22⋊Q8×C83—21no—
425C22⋊Q8×C83—21no—
426C22⋊Q8×C83D411yescharacteristic
427C22⋊Q8×C83C2311yescharacteristic
428C22⋊Q8×C83C2311yescharacteristic
429#121×C83—21no—
430#121×C83—21no—
431#121×C83—21no—
432#121×C83—21no—
433#121×C83—21no—
434#121×C83—21no—
435#121×C83—21no—
436#121×C83—21no—
437#121×C83D411yescharacteristic
438#121×C83C2311yescharacteristic
439#121×C83C2311yescharacteristic
440#121×C83C2311yescharacteristic
441#121×C83C2311yescharacteristic
442C4×Q8×C83—21no—
443C4×Q8×C83—21no—
444C4×Q8×C83—21no—
445C4×Q8×C83C2311yescharacteristic
446C4×Q8×C83C2311yescharacteristic
447C4×Q8×C83C2311yescharacteristic
448C4×Q8×C83C2311yescharacteristic
449C4×Q8×C83C2311yescharacteristic
450C4×Q8×C83C2311yescharacteristic
451C4×Q8×C83C2311yescharacteristic
452C4×D4×C83—21no—
453C4×D4×C83—21no—
454C4×D4×C83—21no—
455C4×D4×C83—21no—
456C4×D4×C83—21no—
457C4×D4×C83—21no—
458C4×D4×C83—21no—
459C4×D4×C83—21no—
460C4×D4×C83—21no—
461C4×D4×C83—21no—
462C4×D4×C83C2311yescharacteristic
463C4×D4×C83C2311yescharacteristic
464C4×D4×C83C2311yescharacteristic
465C4×D4×C83C2311yescharacteristic
466C4×D4×C83C2311yescharacteristic
467C4×D4×C83C2311yescharacteristic
468C4×D4×C83C2311yescharacteristic
469#117×C83—21no—
470#117×C83—21no—
471#117×C83—21no—
472#117×C83—21no—
473#117×C83—21no—
474#117×C83—21no—
475#117×C83—21no—
476#117×C83C2311yescharacteristic
477#117×C83C2311yescharacteristic
478#117×C83C2311yescharacteristic
479#117×C83C2311yescharacteristic
480C2×C4⋊C4×C83—21no—
481C2×C4⋊C4×C83C2311yescharacteristic
482C2×C42×C83—21no—
483C2×C42×C83C2311yescharacteristic
484C23×D83—21no—
485C23×D83—21no—
486#13050591—82no—
487#13050590—41no—
488#13050590—41no—
489#13050590—41no—
490#13050590—41no—
491#13050590—41no—
492#13050590—41no—
493#13050590—41no—
494#13050590—41no—
495#13050590—82no—
496C2×Dic166—21no—
497C2×Dic166C2411yescharacteristic
498C2×Dic166C2411yescharacteristic
499C2×D332—21no—
500C2×D332—21no—
501C2×D332—21no—
502C2×D332—21no—
503C2×D332—21no—
504C2×D332—21no—
505C2×D332—21no—
506C2×D332—21no—
507C2×D332—21no—
508C2×D332—21no—
509C2×D332—41no—
510C2×D332—41no—
511C2×D332—41no—
512C2×D332—41no—
513C2×D332C2411yescharacteristic
514C2×D332C2411yescharacteristic
515C2×D332C2411yescharacteristic
516C2×D332C2411yescharacteristic
517C2×C22⋊D83—21no—
518C2×C22⋊D83—21no—
519C2×C22⋊D83—21no—
520C2×C22⋊D83—21no—
521C2×C22⋊D83—21no—
522C2×C22⋊D83—21no—
523C2×C22⋊D83—21no—
524C2×C22⋊D83—21no—
525D4×D83—82no—
526C2×C4×D83—21no—
527C2×C4×D83—21no—
528C2×C4×D83—21no—
529C2×C4×D83—21no—
530C2×C4×D83—21no—
531C2×C4×D83—21no—
532C2×C4×D83—21no—
533C2×C4×D83—21no—
534#13050580—22no—
535#13050580—22no—
536#13050580—41no—
537#13050580—41no—
538#13050578—41no—
539#13050578—41no—
540#13050578—41no—
541#13050578—41no—
542#13050577—22no—
543#13050577—22no—
544#13050577—22no—
545#13050577—22no—
546#13050577—41no—
547#13050577—41no—
548#13050577—41no—
549#13050577—41no—
550#13050575—41no—
551#13050575—41no—
552#13050575—41no—
553#13050575—41no—
554#13050575—41no—
555#13050575—41no—
556#13050575—41no—
557#13050575—41no—
558#13050574—41no—
559#13050574—41no—
560C2×C83⋊C8—41no—
561C2×C83⋊C8—41no—
562C2×C83⋊C8—41no—
563C2×C83⋊C8—41no—
564C2×C83⋊C8C2411yescharacteristic
565C2×C83⋊C8C2411yescharacteristic
566C2×C83⋊C8C2411yescharacteristic
567C2×C83⋊C8C2411yescharacteristic
568C2×C83⋊C8C2411yescharacteristic
569C2×C83⋊C8C2411yescharacteristic
570C2×C83⋊C8C2411yescharacteristic
571C2×C83⋊C8C2411yescharacteristic
572C4⋊Dic83—21no—
573C4⋊Dic83—21no—
574C4⋊Dic83—21no—
575C4⋊Dic83C2411yescharacteristic
576C4⋊Dic83C2411yescharacteristic
577Dic83⋊C4—21no—
578Dic83⋊C4—21no—
579Dic83⋊C4—21no—
580Dic83⋊C4—21no—
581C22⋊Dic83—21no—
582C22⋊Dic83—21no—
583(C2×D83)⋊C4—21no—
584(C2×D83)⋊C4—21no—
585(C2×D83)⋊C4—21no—
586(C2×D83)⋊C4—21no—
587(C2×D83)⋊C4—21no—
588(C2×D83)⋊C4—21no—
589(C2×D83)⋊C4—21no—
590(C2×D83)⋊C4—21no—
591(C2×D83)⋊C4—21no—
592(C2×D83)⋊C4—21no—
593(C2×D83)⋊C4—21no—
594(C2×D83)⋊C4—21no—
595(C2×D83)⋊C4—21no—
596(C2×D83)⋊C4—21no—
597(C2×D83)⋊C4—21no—
598(C2×D83)⋊C4—21no—
599C4×Dic83—21no—
600C4×Dic83—21no—
601#41×C83—22no—
602#41×C83—22no—
603#41×C83—41no—
604#41×C83—41no—
605C2×Q8×C83—21no—
606C2×Q8×C83—21no—
607C2×Q8×C83—22no—
608C2×Q8×C83—41no—
609C2×Q8×C83C2×D411yescharacteristic
610C2×Q8×C83C2411yescharacteristic
611C2×Q8×C83C2411yescharacteristic
612C2×D4×C83—21no—
613C2×D4×C83—21no—
614C2×D4×C83—21no—
615C2×D4×C83—21no—
616C2×D4×C83—21no—
617C2×D4×C83—21no—
618C2×D4×C83—21no—
619C2×D4×C83—21no—
620C2×D4×C83C2×D411yescharacteristic
621C2×D4×C83C2×D411yescharacteristic
622C2×D4×C83C2×D411yescharacteristic
623C2×D4×C83C2411yescharacteristic
624C2×D4×C83C2411yescharacteristic
625C22×C4×C83—21no—
626C22×C4×C83—21no—
627C22×C4×C83—21no—
628C22×C4×C83—21no—
629C22×C4×C83—21no—
630C22×C4×C83—21no—
631C22×C4×C83—21no—
632C22×C4×C83—21no—
633C22×C4×C83C2×D411yescharacteristic
634C22×C4×C83C2×D411yescharacteristic
635C22×C4×C83C2411yescharacteristic
636C22×C4×C83C2411yescharacteristic
637C22×C4×C83C2411yescharacteristic
638C4⋊C4×C83—21no—
639C4⋊C4×C83—21no—
640C4⋊C4×C83—21no—
641C4⋊C4×C83—21no—
642C4⋊C4×C83—21no—
643C4⋊C4×C83—21no—
644C4⋊C4×C83—21no—
645C4⋊C4×C83—21no—
646C4⋊C4×C83—21no—
647C4⋊C4×C83—21no—
648C4⋊C4×C83—21no—
649C4⋊C4×C83—21no—
650C4⋊C4×C83—21no—
651C4⋊C4×C83—21no—
652C4⋊C4×C83C2×D411yescharacteristic
653C4⋊C4×C83C2×D411yescharacteristic
654C4⋊C4×C83C2×D411yescharacteristic
655C4⋊C4×C83C2×D411yescharacteristic
656C4⋊C4×C83C2×D411yescharacteristic
657C4⋊C4×C83C2×D411yescharacteristic
658C4⋊C4×C83C2×D411yescharacteristic
659C4⋊C4×C83C2×D411yescharacteristic
660C4⋊C4×C83C2×D411yescharacteristic
661C4⋊C4×C83C2×D411yescharacteristic
662C4⋊C4×C83C2411yescharacteristic
663C4⋊C4×C83C2411yescharacteristic
664C4⋊C4×C83C2411yescharacteristic
665C4⋊C4×C83C2411yescharacteristic
666C22⋊C4×C83—21no—
667C22⋊C4×C83—21no—
668C22⋊C4×C83—21no—
669C22⋊C4×C83—21no—
670C22⋊C4×C83—21no—
671C22⋊C4×C83—21no—
672C22⋊C4×C83—21no—
673C22⋊C4×C83—21no—
674C22⋊C4×C83—21no—
675C22⋊C4×C83—21no—
676C22⋊C4×C83—21no—
677C22⋊C4×C83—21no—
678C22⋊C4×C83—21no—
679C22⋊C4×C83—21no—
680C22⋊C4×C83—21no—
681C22⋊C4×C83—21no—
682C22⋊C4×C83C2×D411yescharacteristic
683C22⋊C4×C83C2×D411yescharacteristic
684C22⋊C4×C83C2×D411yescharacteristic
685C22⋊C4×C83C2×D411yescharacteristic
686C22⋊C4×C83C2×D411yescharacteristic
687C22⋊C4×C83C2×D411yescharacteristic
688C22⋊C4×C83C2×D411yescharacteristic
689C22⋊C4×C83C2×D411yescharacteristic
690C22⋊C4×C83C2×D411yescharacteristic
691C22⋊C4×C83C2×D411yescharacteristic
692C42×C83—21no—
693C42×C83—21no—
694C42×C83—21no—
695C42×C83—21no—
696C42×C83—21no—
697C42×C83—21no—
698C42×C83—21no—
699C42×C83—21no—
700C42×C83C2×D411yescharacteristic
701C42×C83C2×D411yescharacteristic
702C42×C83C2411yescharacteristic
703C42×C83C2411yescharacteristic
704C42×C83C2411yescharacteristic
705C42×C83C2411yescharacteristic
706C23×C83—21no—
707C23×C83—21no—
708C23×C83C22×D411yescharacteristic
709C23×C83C22×D411yescharacteristic
710C23×C83C22×D411yescharacteristic
711C22×D83—21no—
712C22×D83—21no—
713C22×D83—21no—
714C22×D83—21no—
715C22×D83—81no—
716C22×D83—81no—
717C22×D83—81no—
718C22×D83—81no—
719C22×D83—81no—
720C22×D83—81no—
721Q8×C83—21no—
722Q8×C83—21no—
723Q8×C83—21no—
724Q8×C83—41no—
725Q8×C83—42no—
726Q8×C83—81no—
727Q8×C83H(5,𝔽2)12yes—
728D4×C83—21no—
729D4×C83—21no—
730D4×C83—21no—
731D4×C83—21no—
732D4×C83—41no—
733D4×C83—41no—
734D4×C83—41no—
735D4×C83—42no—
736D4×C83—42no—
737D4×C83—81no—
738D4×C83—81no—
739D4×C83—81no—
740D4×C83—81no—
741D4×C83—81no—
742D4×C83—81no—
743C2×C4×C83—21no—
744C2×C4×C83—21no—
745C2×C4×C83—21no—
746C2×C4×C83—21no—
747C2×C4×C83—21no—
748C2×C4×C83—21no—
749C2×C4×C83—21no—
750C2×C4×C83—21no—
751C2×C4×C83—21no—
752C2×C4×C83—21no—
753C2×C4×C83—21no—
754C2×C4×C83—21no—
755C2×C4×C83—41no—
756C2×C4×C83—41no—
757C2×C4×C83—42no—
758C2×C4×C83—42no—
759C2×C4×C83—42no—
760C2×C4×C83—81no—
761C2×C4×C83—81no—
762C2×C4×C83—81no—
763C2×C4×C83—81no—
764C2×C4×C83—81no—
765C2×C4×C83C22×D411yescharacteristic
766C2×C4×C83C22×D411yescharacteristic
767C2×C4×C83C22×D411yescharacteristic
768C2×C4×C83C22×D411yescharacteristic
769C2×C4×C83C22×D411yescharacteristic
770C2×C4×C83C22×D411yescharacteristic
771C2×C4×C83C22×D411yescharacteristic
772C2×C4×C83C22×D411yescharacteristic
773C2×C4×C83C22×D411yescharacteristic
774C2×C4×C83C22×D411yescharacteristic
775C2×C4×C83C22×D411yescharacteristic
776C2×C4×C83C2511yescharacteristic
777C22⋊D83—81no—
778C22⋊D83—81no—
779C22⋊D83—81no—
780C22⋊D83—81no—
781C22⋊D83—81no—
782C22⋊D83—81no—
783C22⋊D83—81no—
784C22⋊D83—81no—
785C2×Dic83—21no—
786C2×Dic83—21no—
787C2×Dic83—21no—
788C2×Dic83—21no—
789D332—21no—
790D332—21no—
791D332—21no—
792D332—21no—
793D332—21no—
794D332—21no—
795D332—21no—
796D332—21no—
797D332—42no—
798D332—81no—
799D332—81no—
800D332—81no—
801D332—81no—
802D332—81no—
803D332—81no—
804D332—81no—
805D332—81no—
806D332—81no—
807C4×D83—42no—
808C4×D83—42no—
809C4×D83—81no—
810C4×D83—81no—
811C4×D83—81no—
812C4×D83—81no—
813C4×D83—81no—
814C4×D83—81no—
815Dic166—21no—
816Dic166—21no—
817Dic166—21no—
818Dic166—21no—
819Dic166—81no—
820C83⋊C8—21no—
821C83⋊C8—21no—
822C83⋊C8—21no—
823C83⋊C8—21no—
824C83⋊C8—21no—
825C83⋊C8—21no—
826C83⋊C8—21no—
827C83⋊C8—21no—
828C22×C83—21no—
829C22×C83—21no—
830C22×C83—21no—
831C22×C83—21no—
832C22×C83—21no—
833C22×C83—21no—
834C22×C83—21no—
835C22×C83—21no—
836C22×C83—21no—
837C22×C83—41no—
838C22×C83—41no—
839C22×C83—41no—
840C22×C83—41no—
841C22×C83—41no—
842C22×C83—41no—
843C22×C83C23×D411yescharacteristic
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—41no—
854C2×D83—41no—
855C2×D83—41no—
856C2×D83—162no—
857C2×D83—162no—
858C4×C83—21no—
859C4×C83—21no—
860C4×C83—21no—
861C4×C83—21no—
862C4×C83—21no—
863C4×C83—21no—
864C4×C83—21no—
865C4×C83—21no—
866C4×C83—21no—
867C4×C83—21no—
868C4×C83—21no—
869C4×C83—22no—
870C4×C83—41no—
871C4×C83—41no—
872C4×C83—41no—
873C4×C83—41no—
874C4×C83—41no—
875C4×C83C2×H(5,𝔽2)11yescharacteristic
876C4×C83#58511yescharacteristic
877Dic83—41no—
878Dic83—41no—
879Dic83—41no—
880Dic83—41no—
881#62026—831nomaximal, Sylow
882C2×C83—41no—
883C2×C83—41no—
884C2×C83—41no—
885C2×C83—81no—
886C2×C83—81no—
887C2×C83#348811yescharacteristic
888C2×C83#358411yescharacteristic
889C2×C83#358511yescharacteristic
890D83—81no—
891D83—81no—
892D83—81no—
893D83—81no—
894#3546—831no—
895#3524D8311yescharacteristic, complemented
896#3401—831no—
897#3399—831no—
898#3377—831no—
899#3368—831no—
900#3319—831no—
901#3318—831no—
902#3317—831no—
903#3307—831no—
904#3305—831no—
905#3296—831no—
906#3287—831no—
907#3282—831no—
908#3271—831no—
909#3269—831no—
910#3268—831no—
911#3265—831no—
912#3262—831no—
913#3257—831no—
914#3247—831no—
915#3224—831no—
916#3220—831no—
917#3219—831no—
918#3125—831no—
919#3121—831no—
920#3115—831no—
921#3045—831no—
922#3043—831no—
923#3035—831no—
924#2992—831no—
925C83#6202611yescharacteristic, complemented, Sylow
926C2×#137—831no—
927C2×AGL(1,ℤ/8)—831no—
928C2×#135—831no—
929C2×#135—831no—
930C2×#135—831no—
931C22×SD16—831no—
932#560—1661no—
933#560—1661no—
934#559—21no—
935#559C2×D8311yescharacteristic, complemented
936#557C2×D8311yescharacteristic, complemented
937#556—831no—
938#555—21no—
939#555C2×D8311yescharacteristic, complemented
940#553—21no—
941#553—1661no—
942#553C2×D8311yescharacteristic
943#552—21no—
944#552C2×D8311yescharacteristic, complemented
945#550—831no—
946#550—831no—
947#550—831no—
948#550C2×D8311yescharacteristic, complemented
949#548C2×D8311yescharacteristic
950#548C2×D8311yescharacteristic, complemented
951#547—831no—
952#546—831no—
953#546—831no—
954#546—1661no—
955D42—831no—
956#542—21no—
957#542—831no—
958#542—831no—
959#542C2×D8311yescharacteristic, complemented
960#540—21no—
961#540C2×D8311yescharacteristic, complemented
962#538—1661no—
963#538—1661no—
964#537—1661no—
965#535—831no—
966#535—831no—
967#535—1661no—
968#532—831no—
969#532—831no—
970#529—21no—
971#529—21no—
972#529C2×D8311yescharacteristic
973#529C2×D8311yescharacteristic, complemented
974#520C2×D8311yescharacteristic, complemented
975#519C2×D8311yescharacteristic, complemented
976C4×#41C2×D8311yescharacteristic, complemented
977#497—831no—
978#496—831no—
979#496—831no—
980#496—831no—
981#495—831no—
982#493—831no—
983#491—831no—
984#490—831no—
985#490—831no—
986#489—831no—
987#488—831no—
988#486—831no—
989#485—831no—
990#483—831no—
991#482—831no—
992#482—831no—
993#482—831no—
994#481—831no—
995#479—831no—
996#478—831no—
997#478—831no—
998#478—831no—
999#477—831no—
1000#477—831no—
1001#476—831no—
1002#475—831no—
1003#474—831no—
1004#474—831no—
1005#469—831no—
1006#468—831no—
1007#468—831no—
1008#468—831no—
1009#467—831no—
1010#466—831no—
1011#466—831no—
1012#466—831no—
1013#466—831no—
1014#465—831no—
1015#465—831no—
1016#465—831no—
1017#464—831no—
1018#464—831no—
1019#464—831no—
1020#464—831no—
1021#464—831no—
1022#464—831no—
1023#464—831no—
1024#464—831no—
1025#463—831no—
1026#463—831no—
1027#463—831no—
1028#463—831no—
1029#463—831no—
1030#463—831no—
1031#463—831no—
1032#463—831no—
1033#462—831no—
1034#461—831no—
1035#460—831no—
1036#460—831no—
1037#460—831no—
1038#460—831no—
1039#460—831no—
1040#460—831no—
1041#460—831no—
1042#459—831no—
1043#459—831no—
1044#459—831no—
1045#459—831no—
1046#459—831no—
1047#452—831no—
1048#452—831no—
1049#452—831no—
1050#452—831no—
1051#451—831no—
1052#450—831no—
1053#449—831no—
1054#449—831no—
1055#449—831no—
1056#449—831no—
1057#449—831no—
1058#449—831no—
1059#449—831no—
1060#449—831no—
1061#448—831no—
1062#447—831no—
1063#447—831no—
1064#447—831no—
1065#446—831no—
1066#446—831no—
1067#442—831no—
1068#442—831no—
1069#442—831no—
1070#441—831no—
1071#441—831no—
1072#440—831no—
1073#440—831no—
1074#440—831no—
1075C4×Q16—831no—
1076C4×SD16—831no—
1077C4×SD16—831no—
1078C4×SD16—831no—
1079#435—831no—
1080#435—831no—
1081#435—831no—
1082#435—831no—
1083C8×D4—831no—
1084C8×D4—831no—
1085#433—831no—
1086#433—831no—
1087#432—831no—
1088#424—831no—
1089#424—831no—
1090C2×C4⋊C8—831no—
1091#418—831no—
1092#417—831no—
1093#416—831no—
1094#416—831no—
1095#416—831no—
1096C2×#102—831no—
1097C2×#41—831no—
1098C2×#41—831no—
1099C2×#41—831no—
1100C2×#41—831no—
1101C2×#41—1661no—
1102C2×#41—1661no—
1103C2×#41C22×D8311yescharacteristic
1104C2×#41C22×D8311yescharacteristic
1105C22×Q8C22×D8311yescharacteristic
1106C22×D4—831no—
1107C22×D4—831no—
1108C22×D4—1661no—
1109#137—3322no—
1110AGL(1,ℤ/8)—3322no—
1111#135—3322no—
1112#135—3322no—
1113#135—3322no—
1114C2×Q16—831no—
1115C2×Q16—831no—
1116C2×Q16—831no—
1117C2×Q16—831no—
1118C2×SD16—3322no—
1119C2×SD16—831no—
1120C2×SD16—831no—
1121C2×SD16—831no—
1122C2×SD16—831no—
1123C2×SD16—831no—
1124C2×SD16—831no—
1125C2×SD16—831no—
1126C2×SD16—831no—
1127C2×SD16—831no—
1128C2×SD16—831no—
1129C2×SD16—831no—
1130C2×SD16—831no—
1131C2×D8—831no—
1132C2×D8—831no—
1133C2×D8—831no—
1134C2×D8—831no—
1135C2×D8—831no—
1136C2×D8—831no—
1137C2×D8—831no—
1138C2×D8—831no—
1139C2×M16—831no—
1140C2×M16—831no—
1141C22×C8—831no—
1142C22×C8—831no—
1143C22×C8—831no—
1144C22×C8—831no—
1145C4⋊Q8—21no—
1146C4⋊Q8—831no—
1147C4⋊Q8—831no—
1148C4⋊Q8C22×D8311yescharacteristic
1149#127—21no—
1150#127—831no—
1151#127—831no—
1152#127—831no—
1153#127—831no—
1154#127—1661no—
1155#127—1661no—
1156#127C22×D8311yescharacteristic
1157#126—21no—
1158#126—21no—
1159#126—21no—
1160#126—21no—
1161#126—1661no—
1162#126—1661no—
1163#126—1661no—
1164#126—1661no—
1165#126C22⋊D8311yescharacteristic
1166#126C22⋊D8311yescharacteristic
1167#125—21no—
1168#125—21no—
1169#125—21no—
1170#125C22⋊D8311yescharacteristic
1171#125C22×D8311yescharacteristic
1172#125C22×D8311yescharacteristic
1173#124—21no—
1174#124—21no—
1175#124—21no—
1176#124—21no—
1177#124—21no—
1178#124—21no—
1179#124—831no—
1180#124—831no—
1181#124—831no—
1182#124—831no—
1183#124—1661no—
1184#124—1661no—
1185#124—1661no—
1186#124C22⋊D8311yescharacteristic
1187#124C22×D8311yescharacteristic
1188#124C22×D8311yescharacteristic
1189#123—21no—
1190#123—21no—
1191#123—21no—
1192#123—21no—
1193#123—21no—
1194#123—21no—
1195#123—21no—
1196#123—21no—
1197#123—1661no—
1198#123—1661no—
1199#123—1661no—
1200#123—1661no—
1201#123—1661no—
1202#123—1661no—
1203#123C22⋊D8311yescharacteristic
1204#123C22⋊D8311yescharacteristic
1205C22⋊Q8—21no—
1206C22⋊Q8—21no—
1207C22⋊Q8—21no—
1208C22⋊Q8—831no—
1209C22⋊Q8—831no—
1210C22⋊Q8—1661no—
1211C22⋊Q8—1661no—
1212C22⋊Q8—1661no—
1213C22⋊Q8C22⋊D8311yescharacteristic
1214C22⋊Q8C22×D8311yescharacteristic
1215C22⋊Q8C22×D8311yescharacteristic
1216#121—21no—
1217#121—21no—
1218#121—21no—
1219#121—21no—
1220#121—21no—
1221#121—21no—
1222#121—21no—
1223#121—21no—
1224#121—831no—
1225#121—831no—
1226#121—831no—
1227#121—831no—
1228#121—1661no—
1229#121—1661no—
1230#121—1661no—
1231#121—1661no—
1232#121—1661no—
1233#121—1661no—
1234#121—1661no—
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#121C22⋊D8311yescharacteristic
1247#121C22×D8311yescharacteristic
1248#121C22×D8311yescharacteristic
1249#121C22×D8311yescharacteristic
1250#121C22×D8311yescharacteristic
1251#120—1661no—
1252#120—1661no—
1253#120—1661no—
1254#120—1661no—
1255#120—1661no—
1256#120—1661no—
1257#120—1661no—
1258#120—1661no—
1259C4×Q8—21no—
1260C4×Q8—21no—
1261C4×Q8—21no—
1262C4×Q8—831no—
1263C4×Q8—831no—
1264C4×Q8C22×D8311yescharacteristic
1265C4×Q8C22×D8311yescharacteristic
1266C4×Q8C22×D8311yescharacteristic
1267C4×Q8C22×D8311yescharacteristic
1268C4×Q8C22×D8311yescharacteristic
1269C4×Q8C22×D8311yescharacteristic
1270C4×Q8C22×D8311yescharacteristic
1271C4×D4—21no—
1272C4×D4—21no—
1273C4×D4—21no—
1274C4×D4—21no—
1275C4×D4—21no—
1276C4×D4—21no—
1277C4×D4—21no—
1278C4×D4—21no—
1279C4×D4—21no—
1280C4×D4—21no—
1281C4×D4—831no—
1282C4×D4—831no—
1283C4×D4—831no—
1284C4×D4—831no—
1285C4×D4—1661no—
1286C4×D4—1661no—
1287C4×D4—1661no—
1288C4×D4—1661no—
1289C4×D4—1661no—
1290C4×D4C22×D8311yescharacteristic
1291C4×D4C22×D8311yescharacteristic
1292C4×D4C22×D8311yescharacteristic
1293C4×D4C22×D8311yescharacteristic
1294C4×D4C22×D8311yescharacteristic
1295C4×D4C22×D8311yescharacteristic
1296C4×D4C22×D8311yescharacteristic
1297#117—21no—
1298#117—21no—
1299#117—21no—
1300#117—21no—
1301#117—21no—
1302#117—21no—
1303#117—21no—
1304#117—1661no—
1305#117C22×D8311yescharacteristic
1306#117C22×D8311yescharacteristic
1307#117C22×D8311yescharacteristic
1308#117C22×D8311yescharacteristic
1309C2×C4⋊C4—21no—
1310C2×C4⋊C4—1661no—
1311C2×C4⋊C4C22×D8311yescharacteristic
1312C2×C22⋊C4—1661no—
1313C2×C22⋊C4—1661no—
1314C2×C42—21no—
1315C2×C42C22×D8311yescharacteristic
1316#107—831no—
1317#107—831no—
1318#107—831no—
1319#107—831no—
1320#106—831no—
1321#106—831no—
1322#106—831no—
1323#106—831no—
1324C4⋊C8—831no—
1325C4⋊C8—831no—
1326C4⋊C8—831no—
1327C4⋊C8—831no—
1328C4⋊C8—831no—
1329C4⋊C8—831no—
1330C4⋊C8—831no—
1331C4⋊C8—831no—
1332C4⋊C8—831no—
1333C4⋊C8—831no—
1334#103—831no—
1335#103—831no—
1336#103—831no—
1337#103—831no—
1338#103—831no—
1339#103—831no—
1340#103—831no—
1341#103—831no—
1342#103—831no—
1343#103—831no—
1344#103—831no—
1345#103—831no—
1346#102—831no—
1347#102—831no—
1348#102—831no—
1349#102—831no—
1350#102—831no—
1351#102—831no—
1352#102—831no—
1353#102—831no—
1354#102—831no—
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—
1366C22⋊C8—831no—
1367C22⋊C8—831no—
1368C22⋊C8—831no—
1369C22⋊C8—831no—
1370C22⋊C8—831no—
1371C22⋊C8—831no—
1372#97—831no—
1373#97—831no—
1374#97—831no—
1375#97—831no—
1376C4×C8—831no—
1377C4×C8—831no—
1378C24—1661no—
1379C24—1661no—
1380#41—22no—
1381#41—22no—
1382#41—41no—
1383#41—41no—
1384#41—3321no—
1385#41—3321no—
1386#41—3321no—
1387#41—3321no—
1388#41—3321no—
1389#41—3321no—
1390#41—3321no—
1391#41—3321no—
1392#41—6642no—
1393#41—6642no—
1394C2×Q8—21no—
1395C2×Q8—21no—
1396C2×Q8—22no—
1397C2×Q8—41no—
1398C2×Q8—831no—
1399C2×Q8—831no—
1400C2×Q8—1661no—
1401C2×Q8C2×C22⋊D8311yescharacteristic
1402C2×Q8C23×D8311yescharacteristic
1403C2×Q8C23×D8311yescharacteristic
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—3321no—
1413C2×D4—3321no—
1414C2×D4—3321no—
1415C2×D4—3321no—
1416C2×D4—831no—
1417C2×D4—831no—
1418C2×D4—831no—
1419C2×D4—831no—
1420C2×D4—6642no—
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×D4—1661no—
1431C2×D4—1661no—
1432C2×D4—1661no—
1433C2×D4—1661no—
1434C2×D4—1661no—
1435C2×D4—1661no—
1436C2×D4—1661no—
1437C2×D4—1661no—
1438C2×D4—1661no—
1439C2×D4C2×C22⋊D8311yescharacteristic
1440C2×D4C2×C22⋊D8311yescharacteristic
1441C2×D4C2×C22⋊D8311yescharacteristic
1442C2×D4C23×D8311yescharacteristic
1443C2×D4C23×D8311yescharacteristic
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—21no—
1452C22×C4—1661no—
1453C22×C4—1661no—
1454C22×C4—1661no—
1455C22×C4—1661no—
1456C22×C4—1661no—
1457C22×C4—1661no—
1458C22×C4—1661no—
1459C22×C4—1661no—
1460C22×C4C2×C22⋊D8311yescharacteristic
1461C22×C4C2×C22⋊D8311yescharacteristic
1462C22×C4C23×D8311yescharacteristic
1463C22×C4C23×D8311yescharacteristic
1464C22×C4C23×D8311yescharacteristic
1465Q16—3321no—
1466Q16—3321no—
1467Q16—1662no—
1468Q16—1662no—
1469SD16—3321no—
1470SD16—3321no—
1471SD16—3321no—
1472SD16—3321no—
1473SD16—3321no—
1474SD16—3321no—
1475SD16—3321no—
1476SD16—3321no—
1477SD16—1662no—
1478SD16—1662no—
1479SD16—1662no—
1480SD16—1662no—
1481D8—3321no—
1482D8—3321no—
1483D8—3321no—
1484D8—3321no—
1485D8—3321no—
1486D8—3321no—
1487D8—3321no—
1488D8—3321no—
1489M16—3321no—
1490M16—3321no—
1491C2×C8—3321no—
1492C2×C8—3321no—
1493C2×C8—3321no—
1494C2×C8—3321no—
1495C2×C8—831no—
1496C2×C8—831no—
1497C2×C8—831no—
1498C2×C8—831no—
1499C2×C8—831no—
1500C2×C8—831no—
1501C2×C8—831no—
1502C2×C8—831no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—21no—
1511C4⋊C4—21no—
1512C4⋊C4—21no—
1513C4⋊C4—21no—
1514C4⋊C4—21no—
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—831no—
1518C4⋊C4—831no—
1519C4⋊C4—1661no—
1520C4⋊C4—1661no—
1521C4⋊C4—1661no—
1522C4⋊C4—1661no—
1523C4⋊C4—1661no—
1524C4⋊C4—1661no—
1525C4⋊C4—1661no—
1526C4⋊C4C2×C22⋊D8311yescharacteristic
1527C4⋊C4C2×C22⋊D8311yescharacteristic
1528C4⋊C4C2×C22⋊D8311yescharacteristic
1529C4⋊C4C2×C22⋊D8311yescharacteristic
1530C4⋊C4C2×C22⋊D8311yescharacteristic
1531C4⋊C4C2×C22⋊D8311yescharacteristic
1532C4⋊C4C2×C22⋊D8311yescharacteristic
1533C4⋊C4C2×C22⋊D8311yescharacteristic
1534C4⋊C4C2×C22⋊D8311yescharacteristic
1535C4⋊C4C2×C22⋊D8311yescharacteristic
1536C4⋊C4C23×D8311yescharacteristic
1537C4⋊C4C23×D8311yescharacteristic
1538C4⋊C4C23×D8311yescharacteristic
1539C4⋊C4C23×D8311yescharacteristic
1540C22⋊C4—21no—
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—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
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⋊C4C2×C22⋊D8311yescharacteristic
1575C22⋊C4C2×C22⋊D8311yescharacteristic
1576C22⋊C4C2×C22⋊D8311yescharacteristic
1577C22⋊C4C2×C22⋊D8311yescharacteristic
1578C22⋊C4C2×C22⋊D8311yescharacteristic
1579C22⋊C4C2×C22⋊D8311yescharacteristic
1580C22⋊C4C2×C22⋊D8311yescharacteristic
1581C22⋊C4C2×C22⋊D8311yescharacteristic
1582C22⋊C4C2×C22⋊D8311yescharacteristic
1583C22⋊C4C2×C22⋊D8311yescharacteristic
1584C42—21no—
1585C42—21no—
1586C42—21no—
1587C42—21no—
1588C42—21no—
1589C42—21no—
1590C42—21no—
1591C42—21no—
1592C42—1661no—
1593C42—1661no—
1594C42C2×C22⋊D8311yescharacteristic
1595C42C2×C22⋊D8311yescharacteristic
1596C42C23×D8311yescharacteristic
1597C42C23×D8311yescharacteristic
1598C42C23×D8311yescharacteristic
1599C42C23×D8311yescharacteristic
1600C23—21no—
1601C23—21no—
1602C23—6641no—
1603C23—6641no—
1604C23—6641no—
1605C23—6641no—
1606C23—6641no—
1607C23—6641no—
1608C23—1661no—
1609C23—1661no—
1610C23—1661no—
1611C23—1661no—
1612C23C22×C22⋊D8311yescharacteristic
1613C23C22×C22⋊D8311yescharacteristic
1614C23C22×C22⋊D8311yescharacteristic
1615Q8—21no—
1616Q8—21no—
1617Q8—21no—
1618Q8—41no—
1619Q8—42no—
1620Q8—81no—
1621Q8—6641no—
1622Q8—1661no—
1623Q8—1661no—
1624Q8—1661no—
1625Q8—1661no—
1626Q8#1458183812yes—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—41no—
1632D4—41no—
1633D4—41no—
1634D4—42no—
1635D4—42no—
1636D4—81no—
1637D4—81no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—81no—
1642D4—3322no—
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—6641no—
1657D4—6641no—
1658D4—6641no—
1659D4—6641no—
1660D4—1661no—
1661D4—1661no—
1662D4—1661no—
1663D4—1661no—
1664D4—1661no—
1665D4—1661no—
1666D4—1661no—
1667D4—1661no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—41no—
1681C2×C4—41no—
1682C2×C4—42no—
1683C2×C4—42no—
1684C2×C4—42no—
1685C2×C4—81no—
1686C2×C4—81no—
1687C2×C4—81no—
1688C2×C4—81no—
1689C2×C4—81no—
1690C2×C4—3322no—
1691C2×C4—3322no—
1692C2×C4—6641no—
1693C2×C4—6641no—
1694C2×C4—6641no—
1695C2×C4—6641no—
1696C2×C4—6641no—
1697C2×C4—6641no—
1698C2×C4—1661no—
1699C2×C4—1661no—
1700C2×C4—1661no—
1701C2×C4—1661no—
1702C2×C4C22×C22⋊D8311yescharacteristic
1703C2×C4C22×C22⋊D8311yescharacteristic
1704C2×C4C22×C22⋊D8311yescharacteristic
1705C2×C4C22×C22⋊D8311yescharacteristic
1706C2×C4C22×C22⋊D8311yescharacteristic
1707C2×C4C22×C22⋊D8311yescharacteristic
1708C2×C4C22×C22⋊D8311yescharacteristic
1709C2×C4C22×C22⋊D8311yescharacteristic
1710C2×C4C22×C22⋊D8311yescharacteristic
1711C2×C4C22×C22⋊D8311yescharacteristic
1712C2×C4C22×C22⋊D8311yescharacteristic
1713C2×C4C24×D8311yescharacteristic
1714C8—1661no—
1715C8—1661no—
1716C8—1661no—
1717C8—1661no—
1718C8—1661no—
1719C8—1661no—
1720C8—1661no—
1721C8—1661no—
1722C22—21no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—21no—
1730C22—21no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—13282no—
1738C22—13282no—
1739C22—3321no—
1740C22—3321no—
1741C22—3321no—
1742C22—3321no—
1743C22—3321no—
1744C22—3321no—
1745C22—3321no—
1746C22—3321no—
1747C22—3321no—
1748C22—3321no—
1749C22—3321no—
1750C22—3321no—
1751C22C23×C22⋊D8311yescharacteristic
1752C4—21no—
1753C4—21no—
1754C4—21no—
1755C4—22no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—21no—
1760C4—21no—
1761C4—21no—
1762C4—21no—
1763C4—21no—
1764C4—41no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—3321no—
1770C4—3321no—
1771C4—3321no—
1772C4—3321no—
1773C4C2×#1458183811yescharacteristic
1774C4#1912853711yescharacteristic
1775C2—41no—
1776C2—41no—
1777C2—41no—
1778C2—81no—
1779C2—81no—
1780C2—6641no—
1781C2—6641no—
1782C2—6641no—
1783C2—6641no—
1784C2#2492113211yescharacteristic
1785C2#2492223411yescharacteristic
1786C2#2492224211yescharacteristic
subgroupG/H
centerC22C23×C22⋊D83
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC83×#3524C2
socleC22×C83C23×D4
hypercenter#3524D83
hypocenterC83#62026
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C22 ◁ #529 ◁ #3524

Complements

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

NH ≅ G/Ntype
1. #24921837C2semidirect
2. #24920523C2semidirect
3. #24920501C2semidirect
4. #24920305C2semidirect
5. #24920192C2semidirect
6. #24919613C2semidirect
7. #24919598C2semidirect
8. #24919583C2semidirect
9. #24919433C2semidirect
10. #24919407C2semidirect
11. #24919292C2semidirect
12. #24919219C2semidirect
13. #24919171C2semidirect
14. #24919049C2semidirect
15. #24919019C2semidirect
16. #24919004C2semidirect
17. #24918959C2semidirect
18. #24918919C2semidirect
19. #24918868C2semidirect
20. #24918789C2semidirect
21. #24918551C2semidirect
22. #24918507C2semidirect
23. #24918496C2semidirect
24. #24917740C2semidirect
25. #24917692C2semidirect
26. #24917614C2semidirect
27. #24917002C2semidirect
28. #24916984C2semidirect
29. #24916918C2semidirect
30. #24916602C2semidirect
31. C83×#3524C2semidirect
32. C2×#14581823C22semidirect
34. C2×#14581812C22semidirect
35. C2×#14581812C22semidirect
36. C2×#14581812C22semidirect
60. #19128096C22semidirect
62. #19128091C22semidirect
65. #19128077C22semidirect
66. #19128071C22semidirect
68. #19128067C22semidirect
71. #19128049C22semidirect
72. #19128042C22semidirect
73. #19128031C22semidirect
76. #19128025C22semidirect
78. #19128005C22semidirect
80. #19127998C22semidirect
81. #19127998C22semidirect
82. #19127996C22semidirect
83. #19127993C22semidirect
84. #19127991C22semidirect
85. #19127986C22semidirect
86. #19127981C22semidirect
87. #19127978C22semidirect
90. #19127945C22semidirect
91. #19127945C22semidirect
92. #19127940C22semidirect
96. #19127935C22semidirect
98. #19127932C22semidirect
99. #19127928C22semidirect
103. #19127923C22semidirect
104. #19127923C22semidirect
105. #19127923C22semidirect
106. #19127923C22semidirect
107. #19127920C22semidirect
109. #19127916C22semidirect
110. #19127916C22semidirect
111. #19127916C22semidirect
112. #19127916C22semidirect
114. #19127913C22semidirect
115. #19127913C22semidirect
116. #19127911C22semidirect
117. #19127906C22semidirect
121. #19127901C22semidirect
122. #19127901C22semidirect
123. #19127901C22semidirect
124. #19127898C22semidirect
128. #19127896C22semidirect
129. #19127893C22semidirect
130. #19127863C22semidirect
131. #19127861C22semidirect
132. #19127861C22semidirect
133. #19127861C22semidirect
134. #19127857C22semidirect
138. #19127846C22semidirect
139. #19127844C22semidirect
140. #19127844C22semidirect
141. #19127844C22semidirect
142. #19127844C22semidirect
143. #19127844C22semidirect
148. #19127832C22semidirect
149. #19127832C22semidirect
151. #19127811C22semidirect
152. #19127811C22semidirect
153. #19127806C22semidirect
154. #19127806C22semidirect
156. #19127799C22semidirect
157. #19127799C22semidirect
158. C4×#13050580C22semidirect
159. C4×#13050577C22semidirect
160. C4×#13050577C22semidirect
161. C4×#13050578C22semidirect
164. #19127773C22semidirect
165. #19127773C22semidirect
166. D4×C83⋊C8C22semidirect
167. D4×C83⋊C8C22semidirect
168. #19127762C22semidirect
169. #19127762C22semidirect
170. #19127758C22semidirect
171. #19127728C22semidirect
172. #19127728C22semidirect
173. C2×C4⋊(C83⋊C8)C22semidirect
175. #19127700C22semidirect
176. #19127695C22semidirect
177. #19127695C22semidirect
178. #19127695C22semidirect
181. #559×C83C22semidirect
182. #557×C83C22semidirect
184. #555×C83C22semidirect
188. #552×C83C22semidirect
189. #550×C83C22semidirect
191. #548×C83C22semidirect
193. #542×C83C22semidirect
195. #540×C83C22semidirect
199. #529×C83C22semidirect
200. #520×C83C22semidirect
201. #519×C83C22semidirect
202. C4×#41×C83C22semidirect
895. #3524D83semidirect
925. C83#62026semidirect
935. #559C2×D83semidirect
936. #557C2×D83semidirect
939. #555C2×D83semidirect
944. #552C2×D83semidirect
948. #550C2×D83semidirect
950. #548C2×D83semidirect
959. #542C2×D83semidirect
961. #540C2×D83semidirect
973. #529C2×D83semidirect
974. #520C2×D83semidirect
975. #519C2×D83semidirect
976. C4×#41C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249218372
#249205232
#249205012
#249203052
#249201922
#249196132
#249195982
#249195832
#249194332
#249194072
#249192922
#249192192
#249191712
#249190492
#249190192
#249190042
#249189592
#249189192
#249188682
#249187892
#249185512
#249185072
#249184962
#249177402
#249176922
#249176142
#249170022
#249169842
#249169182
#249166022
C83×#35242
#6202683