Finite Group Databasebeta

← #36297710

Subgroups — #36297710

Order 21248.

1838 conjugacy classes of subgroups.

The subgroup lattice has 1756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24921908C211yesmaximal, characteristic, complemented
2#24921407C211yesmaximal, characteristic, complemented
3#24920531C211yesmaximal, characteristic, complemented
4#24920518C211yesmaximal, characteristic, complemented
5#24920292C211yesmaximal, characteristic, complemented
6#24920246C211yesmaximal, characteristic, complemented
7#24919636C211yesmaximal, characteristic, complemented
8#24919516C211yesmaximal, characteristic, complemented
9#24919456C211yesmaximal, characteristic, complemented
10#24919441C211yesmaximal, characteristic, complemented
11#24919352C211yesmaximal, characteristic, complemented
12#24919329C211yesmaximal, characteristic, complemented
13#24919175C211yesmaximal, characteristic, complemented
14D4×#13050579C211yesmaximal, characteristic, complemented
15#24918993C211yesmaximal, characteristic, complemented
16#24918978C211yesmaximal, characteristic, complemented
17#24918978C211yesmaximal, characteristic, complemented
18#24918963C211yesmaximal, characteristic, complemented
19#24918910C211yesmaximal, characteristic, complemented
20#24918891C211yesmaximal, characteristic, complemented
21#24918815C211yesmaximal, characteristic, complemented
22#24918574C211yesmaximal, characteristic, complemented
23#24918526C211yesmaximal, characteristic, complemented
24#24918492C211yesmaximal, characteristic, complemented
25#24917716C211yesmaximal, characteristic, complemented
26#24917679C211yesmaximal, characteristic, complemented
27#24917603C211yesmaximal, characteristic, complemented
28#24917015C211yesmaximal, characteristic, complemented
29#24916976C211yesmaximal, characteristic, complemented
30C2×#19127907C211yesmaximal, characteristic, complemented
31C83×#2992C211yesmaximal, characteristic, complemented
32C2×#14581825C2211yescharacteristic
33C2×#14581820C2211yescharacteristic
34C2×#14581814C2211yescharacteristic
35C22×#13050579C2211yescharacteristic
36C22×#13050579C2211yescharacteristic
37C22×#13050579C2211yescharacteristic
38#19128453—21no—
39#19128453—21no—
40#19128436C2211yescharacteristic
41#19128430C2211yescharacteristic, complemented
42#19128424C2211yescharacteristic, complemented
43#19128411C2211yescharacteristic
44#19128409—21no—
45#19128403—21no—
46#19128402—21no—
47#19128397C2211yescharacteristic
48#19128391C2211yescharacteristic
49#19128378—21no—
50#19128376—21no—
51D4×Dic166C2211yescharacteristic
52D4×Dic166C2211yescharacteristic, complemented
53D4×Dic166C2211yescharacteristic, complemented
54#19128360C2211yescharacteristic
55#19128360C2211yescharacteristic, complemented
56#19128356C2211yescharacteristic, complemented
57#19128355C2211yescharacteristic
58#19128347C2211yescharacteristic
59#19128347C2211yescharacteristic
60#19128340—21no—
61D4×D332C2211yescharacteristic
62#19128331—21no—
63#19128322C2211yescharacteristic
64#19128320—21no—
65#19128313C2211yescharacteristic, complemented
66#19128313C2211yescharacteristic, complemented
67#19128306C2211yescharacteristic
68#19128299—21no—
69#19128295—21no—
70#19128295—21no—
71#19128285—21no—
72#19128277C2211yescharacteristic, complemented
73#19128277C2211yescharacteristic, complemented
74C2×#14581792C2211yescharacteristic, complemented
75#19128235C2211yescharacteristic
76#19128235C2211yescharacteristic, complemented
77#19128209—21no—
78#123×D83—21no—
79#19128181C2211yescharacteristic
80#19128175C2211yescharacteristic
81C2×C4×D332C2211yescharacteristic
82#19128095C2211yescharacteristic, complemented
83#19128095C2211yescharacteristic, complemented
84#19128095C2211yescharacteristic, complemented
85#19128090C2211yescharacteristic
86#19128085C2211yescharacteristic, complemented
87#19128074C2211yescharacteristic
88#19128070C2211yescharacteristic, complemented
89#19128070C2211yescharacteristic, complemented
90#19128070C2211yescharacteristic, complemented
91#19128061C2211yescharacteristic, complemented
92#19128056C2211yescharacteristic, complemented
93#19128052C2211yescharacteristic, complemented
94#19128043C2211yescharacteristic, complemented
95#19128043C2211yescharacteristic, complemented
96#19128037C2211yescharacteristic, complemented
97#19128032C2211yescharacteristic, complemented
98#19128032C2211yescharacteristic, complemented
99#19128015C2211yescharacteristic, complemented
100#19128009C2211yescharacteristic, complemented
101#19128009C2211yescharacteristic, complemented
102#19128009C2211yescharacteristic, complemented
103#19128009C2211yescharacteristic, complemented
104#19128002C2211yescharacteristic
105#19128002C2211yescharacteristic, complemented
106#19128002C2211yescharacteristic, complemented
107#19128002C2211yescharacteristic, complemented
108#19127997C2211yescharacteristic, complemented
109#19127987C2211yescharacteristic, complemented
110#19127959C2211yescharacteristic, complemented
111#19127947C2211yescharacteristic
112#19127947C2211yescharacteristic, complemented
113#19127947C2211yescharacteristic, complemented
114#19127942C2211yescharacteristic, complemented
115#19127942C2211yescharacteristic, complemented
116#19127937C2211yescharacteristic
117#19127930C2211yescharacteristic
118#19127930C2211yescharacteristic
119#19127930C2211yescharacteristic, complemented
120#19127930C2211yescharacteristic, complemented
121#19127930C2211yescharacteristic, complemented
122#19127924C2211yescharacteristic, complemented
123#19127924C2211yescharacteristic, complemented
124#19127924C2211yescharacteristic, complemented
125#19127924C2211yescharacteristic, complemented
126#19127924C2211yescharacteristic, complemented
127#19127917C2211yescharacteristic
128#19127917C2211yescharacteristic
129#19127917C2211yescharacteristic
130#19127917C2211yescharacteristic, complemented
131#19127917C2211yescharacteristic, complemented
132#19127917C2211yescharacteristic, complemented
133#19127917C2211yescharacteristic, complemented
134#19127912C2211yescharacteristic, complemented
135#19127912C2211yescharacteristic, complemented
136#19127912C2211yescharacteristic, complemented
137#19127907C2211yescharacteristic
138#19127907C2211yescharacteristic
139#19127907C2211yescharacteristic
140#19127907C2211yescharacteristic
141#19127907C2211yescharacteristic
142#19127907C2211yescharacteristic
143#19127907C2211yescharacteristic, complemented
144#19127907C2211yescharacteristic, complemented
145#19127907C2211yescharacteristic, complemented
146#19127907C2211yescharacteristic, complemented
147#19127907C2211yescharacteristic, complemented
148#19127907C2211yescharacteristic, complemented
149#19127907C2211yescharacteristic, complemented
150#19127902C2211yescharacteristic
151#19127902C2211yescharacteristic
152#19127865C2211yescharacteristic
153#19127865C2211yescharacteristic
154#19127865C2211yescharacteristic, complemented
155#19127859C2211yescharacteristic, complemented
156#19127859C2211yescharacteristic, complemented
157#19127859C2211yescharacteristic, complemented
158#19127854C2211yescharacteristic
159#19127854C2211yescharacteristic
160#19127854C2211yescharacteristic
161#19127848C2211yescharacteristic
162#19127848C2211yescharacteristic, complemented
163#19127848C2211yescharacteristic, complemented
164#19127842C2211yescharacteristic
165#19127842C2211yescharacteristic
166#19127842C2211yescharacteristic
167#19127842C2211yescharacteristic, complemented
168#19127842C2211yescharacteristic, complemented
169#19127837C2211yescharacteristic
170#19127814C2211yescharacteristic
171#19127814C2211yescharacteristic, complemented
172#19127809C2211yescharacteristic, complemented
173#19127803C2211yescharacteristic
174#19127803C2211yescharacteristic
175#19127803C2211yescharacteristic
176#19127803C2211yescharacteristic, complemented
177#19127803C2211yescharacteristic, complemented
178C4×Dic332C2211yescharacteristic, complemented
179C4×#13050579C2211yescharacteristic
180C4×#13050579C2211yescharacteristic
181C4×#13050579C2211yescharacteristic, complemented
182#19127711C2211yescharacteristic, complemented
183#19127703C2211yescharacteristic, complemented
184#19127698C2211yescharacteristic, complemented
185C2×#14581717C2211yescharacteristic, complemented
186C2×#14581717C2211yescharacteristic, complemented
187C2×#14581717C2211yescharacteristic, complemented
188#529×C83C2211yescharacteristic
189#446×C83C2211yescharacteristic, complemented
190#446×C83C2211yescharacteristic, complemented
191#435×C83C2211yescharacteristic
192#435×C83C2211yescharacteristic, complemented
193#435×C83C2211yescharacteristic, complemented
194#435×C83C2211yescharacteristic, complemented
195C8×D4×C83C2211yescharacteristic
196C8×D4×C83C2211yescharacteristic, complemented
197#433×C83C2211yescharacteristic, complemented
198#433×C83C2211yescharacteristic, complemented
199#432×C83C2211yescharacteristic, complemented
200#424×C83C2211yescharacteristic, complemented
201#424×C83C2211yescharacteristic, complemented
202C2×C4⋊C8×C83C2211yescharacteristic, complemented
203C2×#13050590C2311yescharacteristic
204C2×#13050590C2311yescharacteristic
205C2×#13050590C2311yescharacteristic
206C2×#13050589—21no—
207C22×Dic166C2311yescharacteristic
208C22×Dic166C2311yescharacteristic
209C22×Dic166C2311yescharacteristic
210C22×Dic166C2311yescharacteristic
211C22×D332C2311yescharacteristic
212C22×D332C2311yescharacteristic
213C2×D4×D83—21no—
214C22×C4×D83—21no—
215#14581825—42no—
216#14581820—42no—
217#14581814—42no—
218C2×Dic332C2311yescharacteristic
219C2×Dic332C2311yescharacteristic
220C2×Dic332C2311yescharacteristic
221C2×Dic332C2311yescharacteristic
222C2×Dic332C2311yescharacteristic
223C2×#13050579—42no—
224C2×#13050579—42no—
225C2×#13050579—42no—
226C2×#13050579C2311yescharacteristic
227C2×#13050579C2311yescharacteristic
228C2×#13050579C2311yescharacteristic
229C2×#13050579C2311yescharacteristic
230C2×#13050579C2311yescharacteristic
231C2×#13050579C2311yescharacteristic
232C2×#13050579C2311yescharacteristic
233C2×#13050579C2311yescharacteristic
234C2×#13050579C2311yescharacteristic
235C2×#13050579C2311yescharacteristic
236C2×#13050579C2311yescharacteristic
237C2×#13050579C2311yescharacteristic
238C2×#13050579C2311yescharacteristic
239C2×#13050579C2311yescharacteristic
240C2×#13050579C2311yescharacteristic
241C2×#13050579C2311yescharacteristic
242C2×D664C2311yescharacteristic
243C2×D664C2311yescharacteristic
244C2×D664C2311yescharacteristic
245#14581792—21no—
246#14581792—21no—
247#14581792C2311yescharacteristic
248#14581792C2311yescharacteristic
249#14581792C2311yescharacteristic
250#14581792C2311yescharacteristic
251#14581792C2311yescharacteristic
252#14581792C2311yescharacteristic
253#14581792C2311yescharacteristic
254#14581791—21no—
255#14581791—21no—
256#14581791—21no—
257#14581789C2311yescharacteristic
258#14581787—21no—
259#14581787—21no—
260#14581787—21no—
261#14581787—21no—
262#14581786—21no—
263#14581786—21no—
264#14581785—21no—
265#14581785—21no—
266#14581785—21no—
267#14581785—21no—
268#14581785—21no—
269#14581784C2311yescharacteristic
270#14581784C2311yescharacteristic
271#14581784C2311yescharacteristic
272#14581783—21no—
273#14581783—21no—
274#14581783—21no—
275#14581782—21no—
276#14581782—21no—
277#14581782—21no—
278#14581782—21no—
279#14581782—21no—
280#14581781—21no—
281#14581780C2311yescharacteristic
282#14581780C2311yescharacteristic
283#14581780C2311yescharacteristic
284#14581780C2311yescharacteristic
285#14581780C2311yescharacteristic
286#14581778—21no—
287#14581778—21no—
288#14581778—21no—
289#14581777—21no—
290#14581777—21no—
291#14581777—21no—
292#14581777—21no—
293#14581777—21no—
294#14581777—21no—
295#14581776—21no—
296#14581776—21no—
297#14581776—21no—
298#14581776—21no—
299#14581776—21no—
300#14581776—21no—
301#14581775—21no—
302#14581775—21no—
303#14581774—21no—
304#14581774—21no—
305#14581774—21no—
306#14581774—21no—
307#14581773—21no—
308#14581772—21no—
309#14581772—21no—
310#14581772—21no—
311#14581772—21no—
312#14581772—21no—
313#14581771C2311yescharacteristic
314#14581771C2311yescharacteristic
315#14581771C2311yescharacteristic
316#14581771C2311yescharacteristic
317#14581771C2311yescharacteristic
318#14581771C2311yescharacteristic
319#14581771C2311yescharacteristic
320#14581770—21no—
321#14581770—21no—
322#14581770—21no—
323#14581770—21no—
324#14581770—21no—
325#14581769—21no—
326#14581769—21no—
327#14581769—21no—
328#14581769—21no—
329#14581769—21no—
330#14581769—21no—
331#14581768—21no—
332#14581768—21no—
333#14581767—21no—
334#14581766C2311yescharacteristic
335#14581766C2311yescharacteristic
336#14581766C2311yescharacteristic
337#14581766C2311yescharacteristic
338#14581766C2311yescharacteristic
339#14581765—21no—
340#14581765—21no—
341#14581765—21no—
342#14581765—21no—
343#14581764—21no—
344#14581764—21no—
345#14581764—21no—
346#14581763—21no—
347#14581762—21no—
348#14581762—21no—
349#14581760—21no—
350#14581760—21no—
351Q8×Dic83—21no—
352C4×Dic166C2311yescharacteristic
353C4×Dic166C2311yescharacteristic
354C4×Dic166C2311yescharacteristic
355C4×Dic166C2311yescharacteristic
356C4×Dic166C2311yescharacteristic
357C4×Dic166C2311yescharacteristic
358C4×Dic166C2311yescharacteristic
359C4×D332—21no—
360C4×D332—21no—
361C4×D332C2311yescharacteristic
362C4×D332C2311yescharacteristic
363C4×D332C2311yescharacteristic
364C4×D332C2311yescharacteristic
365C4×D332C2311yescharacteristic
366C4×D332C2311yescharacteristic
367C4×D332C2311yescharacteristic
368C4×D332C2311yescharacteristic
369C4×D332C2311yescharacteristic
370D4×Dic83—21no—
371D4×Dic83—21no—
372D4×Dic83—21no—
373#14581754—21no—
374#14581754—21no—
375#14581754—21no—
376C4×C22⋊D83—21no—
377C4×C22⋊D83—21no—
378(C22⋊D83)⋊C4—21no—
379(C22⋊D83)⋊C4—21no—
380(C22⋊D83)⋊C4—21no—
381(C22⋊D83)⋊C4—21no—
382(C22⋊D83)⋊C4—21no—
383#14581751C2311yescharacteristic
384#14581750—21no—
385#14581750—21no—
386#14581749—21no—
387#14581749—21no—
388#14581748—21no—
389C2×C4⋊Dic83—21no—
390C2×C4⋊Dic83—21no—
391C2×C4⋊Dic83C2311yescharacteristic
392C2×C4⋊Dic83C2311yescharacteristic
393C4⋊C4×D83—21no—
394C4⋊C4×D83—21no—
395C4⋊C4×D83—21no—
396C2×(C2×D83)⋊C4—21no—
397C22⋊C4×D83—21no—
398C22⋊C4×D83—21no—
399C22⋊C4×D83—21no—
400C22⋊C4×D83—21no—
401#14581726C2311yescharacteristic
402#14581726C2311yescharacteristic
403#14581726C2311yescharacteristic
404#14581726C2311yescharacteristic
405#14581724C2311yescharacteristic
406#14581724C2311yescharacteristic
407#14581724C2311yescharacteristic
408#14581724C2311yescharacteristic
409#14581717C2311yescharacteristic
410#14581717C2311yescharacteristic
411#14581717C2311yescharacteristic
412#14581717C2311yescharacteristic
413#14581717C2311yescharacteristic
414#14581717C2311yescharacteristic
415#14581717C2311yescharacteristic
416#14581717C2311yescharacteristic
417#14581717C2311yescharacteristic
418#14581717C2311yescharacteristic
419#14581717C2311yescharacteristic
420#14581717C2311yescharacteristic
421#14581717C2311yescharacteristic
422#14581717C2311yescharacteristic
423#14581717C2311yescharacteristic
424#14581717C2311yescharacteristic
425#14581717C2311yescharacteristic
426#14581717C2311yescharacteristic
427#14581717C2311yescharacteristic
428#14581717C2311yescharacteristic
429#14581717C2311yescharacteristic
430#14581717C2311yescharacteristic
431#14581714C2311yescharacteristic
432#14581714C2311yescharacteristic
433#14581714C2311yescharacteristic
434#14581714C2311yescharacteristic
435#14581714C2311yescharacteristic
436#14581714C2311yescharacteristic
437#14581714C2311yescharacteristic
438#14581714C2311yescharacteristic
439#14581714C2311yescharacteristic
440#14581714C2311yescharacteristic
441C2×M16×C83C2311yescharacteristic
442C2×M16×C83C2311yescharacteristic
443C22×C8×C83C2311yescharacteristic
444C22×C8×C83C2311yescharacteristic
445C22×C8×C83C2311yescharacteristic
446C22×C8×C83C2311yescharacteristic
447#126×C83D411yescharacteristic
448#126×C83D411yescharacteristic
449#125×C83D411yescharacteristic
450#124×C83D411yescharacteristic
451#123×C83D411yescharacteristic
452#123×C83D411yescharacteristic
453C22⋊Q8×C83D411yescharacteristic
454#121×C83D411yescharacteristic
455C4×Q8×C83C2311yescharacteristic
456C4×D4×C83C2311yescharacteristic
457C4×D4×C83C2311yescharacteristic
458C4×D4×C83C2311yescharacteristic
459#117×C83C2311yescharacteristic
460#117×C83C2311yescharacteristic
461C2×C42×C83C2311yescharacteristic
462C4⋊C8×C83C2311yescharacteristic
463C4⋊C8×C83C2311yescharacteristic
464C4⋊C8×C83C2311yescharacteristic
465C4⋊C8×C83C2311yescharacteristic
466C4⋊C8×C83C2311yescharacteristic
467C4⋊C8×C83C2311yescharacteristic
468C4⋊C8×C83C2311yescharacteristic
469C4⋊C8×C83C2311yescharacteristic
470C4⋊C8×C83C2311yescharacteristic
471C4⋊C8×C83C2311yescharacteristic
472C22⋊C8×C83C2311yescharacteristic
473C22⋊C8×C83C2311yescharacteristic
474C22⋊C8×C83C2311yescharacteristic
475C22⋊C8×C83C2311yescharacteristic
476C22⋊C8×C83C2311yescharacteristic
477C22⋊C8×C83C2311yescharacteristic
478#97×C83C2311yescharacteristic
479#97×C83C2311yescharacteristic
480#97×C83C2311yescharacteristic
481#97×C83C2311yescharacteristic
482C4×C8×C83C2311yescharacteristic
483C4×C8×C83C2311yescharacteristic
484C23×D83—21no—
485C23×D83—21no—
486#13050590—22no—
487#13050590—41no—
488#13050590—41no—
489#13050590—41no—
490#13050590—41no—
491#13050590—41no—
492#13050589—82no—
493C2×Dic166—21no—
494C2×Dic166—21no—
495C2×Dic166—21no—
496C2×Dic166—21no—
497C2×Dic166—21no—
498C2×Dic166—41no—
499C2×Dic166—41no—
500C2×Dic166—41no—
501C2×Dic166—41no—
502C2×Dic166—41no—
503C2×Dic166—41no—
504C2×Dic166—41no—
505C2×Dic166—41no—
506C2×Dic166C2411yescharacteristic
507C2×Dic166C2411yescharacteristic
508C2×Dic166C2411yescharacteristic
509C2×Dic166C2411yescharacteristic
510C2×Dic166C2411yescharacteristic
511C2×Dic166C2411yescharacteristic
512C2×D332—22no—
513C2×D332—22no—
514C2×D332—21no—
515C2×D332—21no—
516C2×D332—21no—
517C2×D332—21no—
518C2×D332—41no—
519C2×D332—41no—
520C2×D332C2411yescharacteristic
521C2×D332C2411yescharacteristic
522C2×D332C2411yescharacteristic
523C2×D332C2411yescharacteristic
524C2×C22⋊D83—21no—
525C2×C22⋊D83—21no—
526C2×C22⋊D83—21no—
527C2×C22⋊D83—21no—
528C2×C22⋊D83—21no—
529C2×C22⋊D83—21no—
530C2×C22⋊D83—21no—
531C2×C22⋊D83—21no—
532D4×D83—82no—
533C22×Dic83—21no—
534C22×Dic83—21no—
535C22×Dic83—21no—
536C22×Dic83—21no—
537C22×Dic83—21no—
538C22×Dic83—21no—
539C2×C4×D83—21no—
540C2×C4×D83—21no—
541C2×C4×D83—21no—
542C2×C4×D83—21no—
543C2×C4×D83—21no—
544C2×C4×D83—21no—
545C2×C4×D83—21no—
546C2×C4×D83—21no—
547C2×C4×D83—21no—
548C2×C4×D83—21no—
549C2×C4×D83—21no—
550C2×C4×D83—21no—
551C2×C4×D83—82no—
552Dic332—41no—
553Dic332—41no—
554Dic332—41no—
555Dic332—41no—
556Dic332—41no—
557#13050579—22no—
558#13050579—22no—
559#13050579—22no—
560#13050579—22no—
561#13050579—22no—
562#13050579—41no—
563#13050579—41no—
564#13050579—41no—
565#13050579—41no—
566#13050579—41no—
567#13050579—41no—
568#13050579—41no—
569#13050579—41no—
570#13050579—41no—
571#13050579—41no—
572#13050579—41no—
573D664—22no—
574D664—41no—
575D664—41no—
576C4⋊Dic83—21no—
577C4⋊Dic83—21no—
578C4⋊Dic83—21no—
579C4⋊Dic83—21no—
580C4⋊Dic83—21no—
581C4⋊Dic83—21no—
582C4⋊Dic83—21no—
583C4⋊Dic83—21no—
584C4⋊Dic83—21no—
585C4⋊Dic83—21no—
586C4⋊Dic83—21no—
587C4⋊Dic83—21no—
588C4⋊Dic83—21no—
589C4⋊Dic83—21no—
590C4⋊Dic83—21no—
591C4⋊Dic83C2411yescharacteristic
592C4⋊Dic83C2411yescharacteristic
593C4⋊Dic83C2411yescharacteristic
594C4⋊Dic83C2411yescharacteristic
595C4⋊Dic83C2411yescharacteristic
596C4⋊Dic83C2411yescharacteristic
597Dic83⋊C4—21no—
598Dic83⋊C4—21no—
599Dic83⋊C4—21no—
600Dic83⋊C4—21no—
601Dic83⋊C4—21no—
602Dic83⋊C4—21no—
603Dic83⋊C4—21no—
604Dic83⋊C4—21no—
605Dic83⋊C4—21no—
606Dic83⋊C4—21no—
607Dic83⋊C4—21no—
608Dic83⋊C4—21no—
609Dic83⋊C4—21no—
610Dic83⋊C4—21no—
611Dic83⋊C4—21no—
612Dic83⋊C4—21no—
613Dic83⋊C4—21no—
614Dic83⋊C4—21no—
615Dic83⋊C4—21no—
616Dic83⋊C4—21no—
617C22⋊Dic83—21no—
618C22⋊Dic83—21no—
619C22⋊Dic83—21no—
620C22⋊Dic83—21no—
621C22⋊Dic83—21no—
622C22⋊Dic83—21no—
623C22⋊Dic83—21no—
624C22⋊Dic83—21no—
625(C2×D83)⋊C4—21no—
626(C2×D83)⋊C4—21no—
627(C2×D83)⋊C4—21no—
628(C2×D83)⋊C4—21no—
629(C2×D83)⋊C4—21no—
630(C2×D83)⋊C4—21no—
631(C2×D83)⋊C4—21no—
632(C2×D83)⋊C4—21no—
633(C2×D83)⋊C4—21no—
634(C2×D83)⋊C4—21no—
635(C2×D83)⋊C4—21no—
636(C2×D83)⋊C4—21no—
637(C2×D83)⋊C4—21no—
638(C2×D83)⋊C4—21no—
639(C2×D83)⋊C4—21no—
640(C2×D83)⋊C4—21no—
641(C2×D83)⋊C4—21no—
642(C2×D83)⋊C4—21no—
643(C2×D83)⋊C4—21no—
644(C2×D83)⋊C4—21no—
645(C2×D83)⋊C4—21no—
646(C2×D83)⋊C4—21no—
647(C2×D83)⋊C4—21no—
648(C2×D83)⋊C4—21no—
649C4×Dic83—21no—
650C4×Dic83—21no—
651C4×Dic83—21no—
652C4×Dic83—21no—
653C4×Dic83—21no—
654C4×Dic83—21no—
655C4×Dic83—21no—
656C4×Dic83—21no—
657C2×Q8×C83C2×D411yescharacteristic
658C2×D4×C83C2×D411yescharacteristic
659C2×D4×C83C2×D411yescharacteristic
660C2×D4×C83C2×D411yescharacteristic
661C22×C4×C83C2×D411yescharacteristic
662C22×C4×C83C2×D411yescharacteristic
663C22×C4×C83C2411yescharacteristic
664C22×C4×C83C2411yescharacteristic
665C22×C4×C83C2411yescharacteristic
666M16×C83—41no—
667M16×C83—41no—
668C2×C8×C83—41no—
669C2×C8×C83—41no—
670C2×C8×C83—41no—
671C2×C8×C83—41no—
672C2×C8×C83C2411yescharacteristic
673C2×C8×C83C2411yescharacteristic
674C2×C8×C83C2411yescharacteristic
675C2×C8×C83C2411yescharacteristic
676C2×C8×C83C2411yescharacteristic
677C2×C8×C83C2411yescharacteristic
678C2×C8×C83C2411yescharacteristic
679C2×C8×C83C2411yescharacteristic
680C4⋊C4×C83C2×D411yescharacteristic
681C4⋊C4×C83C2×D411yescharacteristic
682C4⋊C4×C83C2×D411yescharacteristic
683C4⋊C4×C83C2×D411yescharacteristic
684C4⋊C4×C83C2×D411yescharacteristic
685C4⋊C4×C83C2×D411yescharacteristic
686C4⋊C4×C83C2×D411yescharacteristic
687C4⋊C4×C83C2×D411yescharacteristic
688C4⋊C4×C83C2×D411yescharacteristic
689C4⋊C4×C83C2×D411yescharacteristic
690C22⋊C4×C83C2×D411yescharacteristic
691C22⋊C4×C83C2×D411yescharacteristic
692C22⋊C4×C83C2×D411yescharacteristic
693C22⋊C4×C83C2×D411yescharacteristic
694C22⋊C4×C83C2×D411yescharacteristic
695C22⋊C4×C83C2×D411yescharacteristic
696C22⋊C4×C83C2×D411yescharacteristic
697C22⋊C4×C83C2×D411yescharacteristic
698C22⋊C4×C83C2×D411yescharacteristic
699C22⋊C4×C83C2×D411yescharacteristic
700C42×C83C2×D411yescharacteristic
701C42×C83C2×D411yescharacteristic
702C42×C83C2411yescharacteristic
703C42×C83C2411yescharacteristic
704C42×C83C2411yescharacteristic
705C42×C83C2411yescharacteristic
706C23×C83C22×D411yescharacteristic
707C23×C83C22×D411yescharacteristic
708C23×C83C22×D411yescharacteristic
709C22×D83—21no—
710C22×D83—21no—
711C22×D83—21no—
712C22×D83—21no—
713C22×D83—42no—
714C22×D83—42no—
715C22×D83—42no—
716C22×D83—81no—
717C22×D83—81no—
718C22×D83—81no—
719Q8×C83—41no—
720D4×C83—22no—
721D4×C83—22no—
722D4×C83—41no—
723C2×C4×C83—22no—
724C2×C4×C83—21no—
725C2×C4×C83—21no—
726C2×C4×C83—21no—
727C2×C4×C83—21no—
728C2×C4×C83—21no—
729C2×C4×C83—21no—
730C2×C4×C83—41no—
731C2×C4×C83C22×D411yescharacteristic
732C2×C4×C83C22×D411yescharacteristic
733C2×C4×C83C22×D411yescharacteristic
734C2×C4×C83C22×D411yescharacteristic
735C2×C4×C83C22×D411yescharacteristic
736C2×C4×C83C22×D411yescharacteristic
737C2×C4×C83C22×D411yescharacteristic
738C2×C4×C83C22×D411yescharacteristic
739C2×C4×C83C22×D411yescharacteristic
740C2×C4×C83C22×D411yescharacteristic
741C2×C4×C83C22×D411yescharacteristic
742C2×C4×C83C2511yescharacteristic
743C22⋊D83—42no—
744C22⋊D83—42no—
745C22⋊D83—42no—
746C22⋊D83—81no—
747C22⋊D83—81no—
748C22⋊D83—81no—
749C22⋊D83—81no—
750C22⋊D83—81no—
751C2×Dic83—21no—
752C2×Dic83—21no—
753C2×Dic83—21no—
754C2×Dic83—21no—
755C2×Dic83—21no—
756C2×Dic83—21no—
757C2×Dic83—21no—
758C2×Dic83—21no—
759C2×Dic83—21no—
760C2×Dic83—21no—
761C2×Dic83—21no—
762C2×Dic83—21no—
763C2×Dic83—42no—
764C2×Dic83—81no—
765C2×Dic83—81no—
766C2×Dic83—81no—
767C2×Dic83—81no—
768C2×Dic83—81no—
769D332—21no—
770D332—21no—
771D332—21no—
772D332—21no—
773D332—21no—
774D332—21no—
775D332—21no—
776D332—42no—
777D332—42no—
778D332—81no—
779D332—81no—
780D332H(5,𝔽2)12yes—
781C4×D83—42no—
782C4×D83—42no—
783C4×D83—81no—
784C4×D83—81no—
785C4×D83—81no—
786C4×D83—81no—
787C4×D83—81no—
788C4×D83—81no—
789C4×D83—81no—
790C4×D83—81no—
791C4×D83—81no—
792C4×D83—81no—
793Dic166—21no—
794Dic166—21no—
795Dic166—21no—
796Dic166—21no—
797Dic166—21no—
798Dic166—21no—
799Dic166—21no—
800Dic166—21no—
801Dic166—21no—
802Dic166—21no—
803Dic166—21no—
804Dic166—21no—
805Dic166—81no—
806Dic166—81no—
807Dic166—81no—
808Dic166—81no—
809Dic166—81no—
810C8×C83—21no—
811C8×C83—21no—
812C8×C83—21no—
813C8×C83—21no—
814C8×C83—21no—
815C8×C83—21no—
816C8×C83—21no—
817C8×C83—21no—
818C22×C83—21no—
819C22×C83—21no—
820C22×C83—21no—
821C22×C83—21no—
822C22×C83—21no—
823C22×C83—21no—
824C22×C83—21no—
825C22×C83—21no—
826C22×C83#57712yes—
827C22×C83C23×D411yescharacteristic
828C2×D83—22no—
829C2×D83—41no—
830C2×D83—41no—
831C2×D83—41no—
832C2×D83—41no—
833C2×D83—41no—
834C2×D83—41no—
835C2×D83—41no—
836C2×D83—41no—
837C2×D83—41no—
838C2×D83—41no—
839C2×D83—41no—
840C2×D83—84no—
841C2×D83—162no—
842C4×C83—21no—
843C4×C83—21no—
844C4×C83—21no—
845C4×C83—21no—
846C4×C83—21no—
847C4×C83—21no—
848C4×C83—21no—
849C4×C83—21no—
850C4×C83—21no—
851C4×C83—21no—
852C4×C83—21no—
853C4×C83C2×H(5,𝔽2)11yescharacteristic
854C4×C83#58511yescharacteristic
855Dic83—41no—
856Dic83—41no—
857Dic83—41no—
858Dic83—41no—
859Dic83—41no—
860Dic83—41no—
861Dic83—41no—
862Dic83—41no—
863Dic83—41no—
864Dic83—41no—
865Dic83—41no—
866Dic83—41no—
867#62008—831nomaximal, Sylow
868C2×C83—22no—
869C2×C83—41no—
870C2×C83—41no—
871C2×C83#348811yescharacteristic
872C2×C83C2×#57711yescharacteristic
873C2×C83#358611yescharacteristic
874D83—42no—
875D83—81no—
876D83—81no—
877D83—81no—
878#3552—831no—
879#3513—831no—
880#3401—831no—
881#3400—831no—
882#3376—831no—
883#3372—831no—
884#3320—831no—
885#3312—831no—
886#3308—831no—
887#3307—831no—
888#3300—831no—
889#3298—831no—
890#3282—831no—
891D4×SD16—831no—
892#3267—831no—
893#3266—831no—
894#3266—831no—
895#3265—831no—
896#3260—831no—
897#3258—831no—
898#3250—831no—
899#3225—831no—
900#3221—831no—
901#3218—831no—
902#3123—831no—
903#3120—831no—
904#3114—831no—
905#3046—831no—
906#3042—831no—
907C2×#461—831no—
908#2992D8311yescharacteristic, complemented
909C83#6200811yescharacteristic, complemented, Sylow
910C2×#137—831no—
911C2×AGL(1,ℤ/8)—831no—
912C2×#135—831no—
913C22×SD16—831no—
914C22×SD16—831no—
915C22×SD16—831no—
916#563—1661no—
917#563—1661no—
918#559—831no—
919#557—831no—
920#556—831no—
921#554—831no—
922#554—1661no—
923#553—831no—
924#553—1661no—
925#553—1661no—
926#552—831no—
927#551—1661no—
928#551—1661no—
929D4×Q8—831no—
930D4×Q8—831no—
931D4×Q8—831no—
932#548—831no—
933#548—831no—
934#547—831no—
935#547—831no—
936#546—831no—
937#546—831no—
938#546—1661no—
939D42—831no—
940#544—1661no—
941#542—831no—
942#542—1661no—
943#541—831no—
944#541—831no—
945#540—831no—
946#539—1661no—
947#539—1661no—
948#539—1661no—
949#538—1661no—
950#536—831no—
951#536—831no—
952C2×C4⋊Q8—831no—
953#529—831no—
954#529—831no—
955#529C2×D8311yescharacteristic
956#525—1661no—
957C2×#123—1661no—
958#520—831no—
959#518—831no—
960C2×C4×D4—831no—
961#497—831no—
962#497—831no—
963#497—831no—
964#496—831no—
965#495—831no—
966#492—831no—
967#491—831no—
968#491—831no—
969#491—831no—
970#489—831no—
971#488—831no—
972#487—831no—
973#485—831no—
974#485—831no—
975#484—831no—
976#483—831no—
977#483—831no—
978#480—831no—
979#479—831no—
980#479—831no—
981#479—831no—
982#479—831no—
983#478—831no—
984#478—831no—
985#478—831no—
986#478—831no—
987#477—831no—
988#475—831no—
989#470—831no—
990#468—831no—
991#468—831no—
992#468—831no—
993#467—831no—
994#467—831no—
995#466—831no—
996#465—831no—
997#465—831no—
998#465—831no—
999#465—831no—
1000#465—831no—
1001#464—831no—
1002#464—831no—
1003#464—831no—
1004#464—831no—
1005#464—831no—
1006#463—831no—
1007#463—831no—
1008#463—831no—
1009#463—831no—
1010#463—831no—
1011#463—831no—
1012#463—831no—
1013#462—831no—
1014#462—831no—
1015#462—831no—
1016#461—831no—
1017#461—831no—
1018#461—831no—
1019#461—831no—
1020#461—831no—
1021#461—831no—
1022#461—831no—
1023#461—831no—
1024#461—831no—
1025#461—831no—
1026#461—831no—
1027#461—831no—
1028#461—831no—
1029#460—831no—
1030#460—831no—
1031#452—831no—
1032#452—831no—
1033#452—831no—
1034#451—831no—
1035#451—831no—
1036#451—831no—
1037#450—831no—
1038#450—831no—
1039#450—831no—
1040#449—831no—
1041#449—831no—
1042#449—831no—
1043#448—831no—
1044#448—831no—
1045#448—831no—
1046#448—831no—
1047#448—831no—
1048#447—831no—
1049#446C2×D8311yescharacteristic, complemented
1050#446C2×D8311yescharacteristic, complemented
1051#442—831no—
1052#442—831no—
1053#441—831no—
1054#440—831no—
1055#440—831no—
1056#440—831no—
1057#440—831no—
1058#440—831no—
1059C4×Q16—831no—
1060C4×SD16—831no—
1061C4×SD16—831no—
1062C4×SD16—831no—
1063#435C2×D8311yescharacteristic
1064#435C2×D8311yescharacteristic, complemented
1065#435C2×D8311yescharacteristic, complemented
1066#435C2×D8311yescharacteristic, complemented
1067C8×D4C2×D8311yescharacteristic
1068C8×D4C2×D8311yescharacteristic, complemented
1069#433C2×D8311yescharacteristic, complemented
1070#433C2×D8311yescharacteristic, complemented
1071#432C2×D8311yescharacteristic, complemented
1072#424C2×D8311yescharacteristic, complemented
1073#424C2×D8311yescharacteristic, complemented
1074C2×C4⋊C8C2×D8311yescharacteristic, complemented
1075#419—831no—
1076#417—831no—
1077#416—831no—
1078C2×#103—831no—
1079C2×#103—831no—
1080C2×#103—831no—
1081C2×#41—831no—
1082C2×#41—831no—
1083C2×#41—831no—
1084C2×#41—1661no—
1085C22×Q8—831no—
1086C22×Q8—831no—
1087C22×Q8—831no—
1088C22×Q8—831no—
1089C22×D4—831no—
1090C22×D4—831no—
1091C22×D4—1661no—
1092C23×C4—1661no—
1093#137—3322no—
1094AGL(1,ℤ/8)—3322no—
1095#135—3322no—
1096C2×Q16—831no—
1097C2×Q16—831no—
1098C2×Q16—831no—
1099C2×Q16—831no—
1100C2×Q16—831no—
1101C2×SD16—3322no—
1102C2×SD16—3322no—
1103C2×SD16—3322no—
1104C2×SD16—831no—
1105C2×SD16—831no—
1106C2×SD16—831no—
1107C2×SD16—831no—
1108C2×SD16—831no—
1109C2×SD16—831no—
1110C2×SD16—831no—
1111C2×SD16—831no—
1112C2×SD16—831no—
1113C2×SD16—831no—
1114C2×SD16—831no—
1115C2×SD16—831no—
1116C2×SD16—831no—
1117C2×SD16—831no—
1118C2×SD16—831no—
1119C2×SD16—831no—
1120C2×D8—831no—
1121C2×D8—831no—
1122C2×D8—831no—
1123C2×M16C22×D8311yescharacteristic
1124C2×M16C22×D8311yescharacteristic
1125C22×C8C22×D8311yescharacteristic
1126C22×C8C22×D8311yescharacteristic
1127C22×C8C22×D8311yescharacteristic
1128C22×C8C22×D8311yescharacteristic
1129C4⋊Q8—831no—
1130C4⋊Q8—831no—
1131C4⋊Q8—831no—
1132C4⋊Q8—831no—
1133C4⋊Q8—831no—
1134C4⋊Q8—831no—
1135C4⋊Q8—831no—
1136C4⋊Q8—1661no—
1137C4⋊Q8—1661no—
1138C4⋊Q8—1661no—
1139C4⋊Q8—1661no—
1140C4⋊Q8—1661no—
1141#127—831no—
1142#126—1661no—
1143#126—1661no—
1144#126—1661no—
1145#126—1661no—
1146#126—1661no—
1147#126—1661no—
1148#126—1661no—
1149#126—1661no—
1150#126—1661no—
1151#126—1661no—
1152#126—1661no—
1153#126D33211yescharacteristic
1154#126D33211yescharacteristic
1155#125—831no—
1156#125—831no—
1157#125—831no—
1158#125—1661no—
1159#125—1661no—
1160#125—1661no—
1161#125—1661no—
1162#125—1661no—
1163#125—1661no—
1164#125—1661no—
1165#125—1661no—
1166#125D33211yescharacteristic
1167#124—831no—
1168#124—831no—
1169#124—831no—
1170#124—831no—
1171#124—831no—
1172#124—1661no—
1173#124—1661no—
1174#124—1661no—
1175#124—1661no—
1176#124D33211yescharacteristic
1177#123—1661no—
1178#123—1661no—
1179#123—1661no—
1180#123—1661no—
1181#123—1661no—
1182#123—1661no—
1183#123—1661no—
1184#123—1661no—
1185#123—1661no—
1186#123—1661no—
1187#123—1661no—
1188#123—1661no—
1189#123—1661no—
1190#123—1661no—
1191#123—1661no—
1192#123—1661no—
1193#123—1661no—
1194#123—1661no—
1195#123—1661no—
1196#123D33211yescharacteristic
1197#123D33211yescharacteristic
1198C22⋊Q8—831no—
1199C22⋊Q8—831no—
1200C22⋊Q8—831no—
1201C22⋊Q8—831no—
1202C22⋊Q8—831no—
1203C22⋊Q8—831no—
1204C22⋊Q8—831no—
1205C22⋊Q8—1661no—
1206C22⋊Q8—1661no—
1207C22⋊Q8—1661no—
1208C22⋊Q8—1661no—
1209C22⋊Q8—1661no—
1210C22⋊Q8—1661no—
1211C22⋊Q8—1661no—
1212C22⋊Q8—1661no—
1213C22⋊Q8—1661no—
1214C22⋊Q8—1661no—
1215C22⋊Q8—1661no—
1216C22⋊Q8—1661no—
1217C22⋊Q8—1661no—
1218C22⋊Q8—1661no—
1219C22⋊Q8—1661no—
1220C22⋊Q8—1661no—
1221C22⋊Q8—1661no—
1222C22⋊Q8—1661no—
1223C22⋊Q8D33211yescharacteristic
1224#121—831no—
1225#121—831no—
1226#121—831no—
1227#121—831no—
1228#121—831no—
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#121D33211yescharacteristic
1239#120—1661no—
1240#120—1661no—
1241#120—1661no—
1242#120—1661no—
1243C4×Q8—831no—
1244C4×Q8—831no—
1245C4×Q8—831no—
1246C4×Q8—831no—
1247C4×Q8—831no—
1248C4×Q8—831no—
1249C4×Q8—831no—
1250C4×Q8—1661no—
1251C4×Q8C22×D8311yescharacteristic
1252C4×D4—831no—
1253C4×D4—831no—
1254C4×D4—831no—
1255C4×D4—831no—
1256C4×D4—831no—
1257C4×D4—831no—
1258C4×D4—831no—
1259C4×D4—831no—
1260C4×D4—831no—
1261C4×D4—1661no—
1262C4×D4—1661no—
1263C4×D4—1661no—
1264C4×D4—1661no—
1265C4×D4—1661no—
1266C4×D4—1661no—
1267C4×D4—1661no—
1268C4×D4—1661no—
1269C4×D4—1661no—
1270C4×D4—1661no—
1271C4×D4—1661no—
1272C4×D4—1661no—
1273C4×D4—1661no—
1274C4×D4—1661no—
1275C4×D4—1661no—
1276C4×D4C22×D8311yescharacteristic
1277C4×D4C22×D8311yescharacteristic
1278C4×D4C22×D8311yescharacteristic
1279#117—831no—
1280#117—1661no—
1281#117—1661no—
1282#117—1661no—
1283#117—1661no—
1284#117—1661no—
1285#117C22×D8311yescharacteristic
1286#117C22×D8311yescharacteristic
1287C2×C4⋊C4—831no—
1288C2×C4⋊C4—831no—
1289C2×C4⋊C4—1661no—
1290C2×C4⋊C4—1661no—
1291C2×C4⋊C4—1661no—
1292C2×C4⋊C4—1661no—
1293C2×C4⋊C4—1661no—
1294C2×C22⋊C4—1661no—
1295C2×C22⋊C4—1661no—
1296C2×C22⋊C4—1661no—
1297C2×C22⋊C4—1661no—
1298C2×C22⋊C4—1661no—
1299C2×C42C22×D8311yescharacteristic
1300#107—831no—
1301#107—831no—
1302#107—831no—
1303#107—831no—
1304#106—831no—
1305#106—831no—
1306#106—831no—
1307#106—831no—
1308C4⋊C8C22×D8311yescharacteristic
1309C4⋊C8C22×D8311yescharacteristic
1310C4⋊C8C22×D8311yescharacteristic
1311C4⋊C8C22×D8311yescharacteristic
1312C4⋊C8C22×D8311yescharacteristic
1313C4⋊C8C22×D8311yescharacteristic
1314C4⋊C8C22×D8311yescharacteristic
1315C4⋊C8C22×D8311yescharacteristic
1316C4⋊C8C22×D8311yescharacteristic
1317C4⋊C8C22×D8311yescharacteristic
1318#103—831no—
1319#103—831no—
1320#103—831no—
1321#103—831no—
1322#103—831no—
1323#103—831no—
1324#103—831no—
1325#103—831no—
1326#103—831no—
1327#103—831no—
1328#103—831no—
1329#103—831no—
1330#103—831no—
1331#103—831no—
1332#103—831no—
1333#103—831no—
1334#103—831no—
1335#103—831no—
1336#103—831no—
1337#103—831no—
1338#103—831no—
1339#103—831no—
1340#102—831no—
1341#102—831no—
1342#102—831no—
1343#102—831no—
1344#102—831no—
1345#102—831no—
1346#102—831no—
1347#102—831no—
1348#102—831no—
1349#102—831no—
1350C22⋊C8C22×D8311yescharacteristic
1351C22⋊C8C22×D8311yescharacteristic
1352C22⋊C8C22×D8311yescharacteristic
1353C22⋊C8C22×D8311yescharacteristic
1354C22⋊C8C22×D8311yescharacteristic
1355C22⋊C8C22×D8311yescharacteristic
1356#97C22×D8311yescharacteristic
1357#97C22×D8311yescharacteristic
1358#97C22×D8311yescharacteristic
1359#97C22×D8311yescharacteristic
1360C4×C8C22×D8311yescharacteristic
1361C4×C8C22×D8311yescharacteristic
1362C24—1661no—
1363C24—1661no—
1364#41—3321no—
1365#41—3321no—
1366#41—3321no—
1367#41—3321no—
1368#41—3321no—
1369#41—6642no—
1370#41—1662no—
1371C2×Q8—3321no—
1372C2×Q8—3321no—
1373C2×Q8—3321no—
1374C2×Q8—3321no—
1375C2×Q8—3321no—
1376C2×Q8—3321no—
1377C2×Q8—3321no—
1378C2×Q8—3321no—
1379C2×Q8—831no—
1380C2×Q8—831no—
1381C2×Q8—831no—
1382C2×Q8—831no—
1383C2×Q8—831no—
1384C2×Q8—831no—
1385C2×Q8—1661no—
1386C2×Q8—1661no—
1387C2×Q8—1661no—
1388C2×Q8—1661no—
1389C2×Q8—1661no—
1390C2×Q8C2×D33211yescharacteristic
1391C2×D4—3321no—
1392C2×D4—3321no—
1393C2×D4—831no—
1394C2×D4—831no—
1395C2×D4—831no—
1396C2×D4—831no—
1397C2×D4—6642no—
1398C2×D4—1662no—
1399C2×D4—1662no—
1400C2×D4—1661no—
1401C2×D4—1661no—
1402C2×D4—1661no—
1403C2×D4—1661no—
1404C2×D4—1661no—
1405C2×D4—1661no—
1406C2×D4—1661no—
1407C2×D4—1661no—
1408C2×D4—1661no—
1409C2×D4—1661no—
1410C2×D4—1661no—
1411C2×D4—1661no—
1412C2×D4C2×D33211yescharacteristic
1413C2×D4C2×D33211yescharacteristic
1414C2×D4C2×D33211yescharacteristic
1415C22×C4—6642no—
1416C22×C4—1661no—
1417C22×C4—1661no—
1418C22×C4—1661no—
1419C22×C4—1661no—
1420C22×C4—1661no—
1421C22×C4—1661no—
1422C22×C4—1661no—
1423C22×C4—1661no—
1424C22×C4—1661no—
1425C22×C4—1661no—
1426C22×C4—1661no—
1427C22×C4—1661no—
1428C22×C4—1661no—
1429C22×C4—1661no—
1430C22×C4—1661no—
1431C22×C4—1661no—
1432C22×C4—1661no—
1433C22×C4—1661no—
1434C22×C4C2×D33211yescharacteristic
1435C22×C4C2×D33211yescharacteristic
1436C22×C4C23×D8311yescharacteristic
1437C22×C4C23×D8311yescharacteristic
1438C22×C4C23×D8311yescharacteristic
1439Q16—3321no—
1440Q16—3321no—
1441Q16—3321no—
1442Q16—3321no—
1443Q16—3321no—
1444SD16—3321no—
1445SD16—3321no—
1446SD16—3321no—
1447SD16—3321no—
1448SD16—3321no—
1449SD16—3321no—
1450SD16—3321no—
1451SD16—3321no—
1452SD16—3321no—
1453SD16—3321no—
1454SD16—3321no—
1455SD16—1662no—
1456SD16—1662no—
1457SD16—1662no—
1458SD16—1662no—
1459SD16—1662no—
1460D8—3321no—
1461D8—3321no—
1462D8—1662no—
1463M16—41no—
1464M16—41no—
1465C2×C8—41no—
1466C2×C8—41no—
1467C2×C8—41no—
1468C2×C8—41no—
1469C2×C8C23×D8311yescharacteristic
1470C2×C8C23×D8311yescharacteristic
1471C2×C8C23×D8311yescharacteristic
1472C2×C8C23×D8311yescharacteristic
1473C2×C8C23×D8311yescharacteristic
1474C2×C8C23×D8311yescharacteristic
1475C2×C8C23×D8311yescharacteristic
1476C2×C8C23×D8311yescharacteristic
1477C4⋊C4—831no—
1478C4⋊C4—831no—
1479C4⋊C4—831no—
1480C4⋊C4—831no—
1481C4⋊C4—831no—
1482C4⋊C4—831no—
1483C4⋊C4—1661no—
1484C4⋊C4—1661no—
1485C4⋊C4—1661no—
1486C4⋊C4—1661no—
1487C4⋊C4—1661no—
1488C4⋊C4—1661no—
1489C4⋊C4—1661no—
1490C4⋊C4—1661no—
1491C4⋊C4—1661no—
1492C4⋊C4—1661no—
1493C4⋊C4—1661no—
1494C4⋊C4—1661no—
1495C4⋊C4—1661no—
1496C4⋊C4—1661no—
1497C4⋊C4—1661no—
1498C4⋊C4—1661no—
1499C4⋊C4—1661no—
1500C4⋊C4—1661no—
1501C4⋊C4—1661no—
1502C4⋊C4—1661no—
1503C4⋊C4—1661no—
1504C4⋊C4—1661no—
1505C4⋊C4—1661no—
1506C4⋊C4—1661no—
1507C4⋊C4—1661no—
1508C4⋊C4—1661no—
1509C4⋊C4—1661no—
1510C4⋊C4—1661no—
1511C4⋊C4—1661no—
1512C4⋊C4—1661no—
1513C4⋊C4—1661no—
1514C4⋊C4—1661no—
1515C4⋊C4—1661no—
1516C4⋊C4—1661no—
1517C4⋊C4—1661no—
1518C4⋊C4C2×D33211yescharacteristic
1519C4⋊C4C2×D33211yescharacteristic
1520C4⋊C4C2×D33211yescharacteristic
1521C4⋊C4C2×D33211yescharacteristic
1522C4⋊C4C2×D33211yescharacteristic
1523C4⋊C4C2×D33211yescharacteristic
1524C4⋊C4C2×D33211yescharacteristic
1525C4⋊C4C2×D33211yescharacteristic
1526C4⋊C4C2×D33211yescharacteristic
1527C4⋊C4C2×D33211yescharacteristic
1528C22⋊C4—1661no—
1529C22⋊C4—1661no—
1530C22⋊C4—1661no—
1531C22⋊C4—1661no—
1532C22⋊C4—1661no—
1533C22⋊C4—1661no—
1534C22⋊C4—1661no—
1535C22⋊C4—1661no—
1536C22⋊C4—1661no—
1537C22⋊C4—1661no—
1538C22⋊C4—1661no—
1539C22⋊C4—1661no—
1540C22⋊C4—1661no—
1541C22⋊C4—1661no—
1542C22⋊C4—1661no—
1543C22⋊C4—1661no—
1544C22⋊C4—1661no—
1545C22⋊C4—1661no—
1546C22⋊C4—1661no—
1547C22⋊C4—1661no—
1548C22⋊C4—1661no—
1549C22⋊C4—1661no—
1550C22⋊C4—1661no—
1551C22⋊C4—1661no—
1552C22⋊C4—1661no—
1553C22⋊C4—1661no—
1554C22⋊C4—1661no—
1555C22⋊C4—1661no—
1556C22⋊C4—1661no—
1557C22⋊C4—1661no—
1558C22⋊C4—1661no—
1559C22⋊C4—1661no—
1560C22⋊C4C2×D33211yescharacteristic
1561C22⋊C4C2×D33211yescharacteristic
1562C22⋊C4C2×D33211yescharacteristic
1563C22⋊C4C2×D33211yescharacteristic
1564C22⋊C4C2×D33211yescharacteristic
1565C22⋊C4C2×D33211yescharacteristic
1566C22⋊C4C2×D33211yescharacteristic
1567C22⋊C4C2×D33211yescharacteristic
1568C22⋊C4C2×D33211yescharacteristic
1569C22⋊C4C2×D33211yescharacteristic
1570C42—1661no—
1571C42—1661no—
1572C42—1661no—
1573C42—1661no—
1574C42—1661no—
1575C42—1661no—
1576C42—1661no—
1577C42—1661no—
1578C42C2×D33211yescharacteristic
1579C42C2×D33211yescharacteristic
1580C42C23×D8311yescharacteristic
1581C42C23×D8311yescharacteristic
1582C42C23×D8311yescharacteristic
1583C42C23×D8311yescharacteristic
1584C23—3322no—
1585C23—3322no—
1586C23—3322no—
1587C23—6641no—
1588C23—6641no—
1589C23—6641no—
1590C23—1661no—
1591C23—1661no—
1592C23—1661no—
1593C23—1661no—
1594C23C22×D33211yescharacteristic
1595C23C22×D33211yescharacteristic
1596C23C22×D33211yescharacteristic
1597Q8—41no—
1598Q8—6641no—
1599Q8—6641no—
1600Q8—6641no—
1601Q8—6641no—
1602Q8—6641no—
1603Q8—1661no—
1604Q8—1661no—
1605Q8—1661no—
1606Q8—1661no—
1607Q8—1661no—
1608Q8—1661no—
1609Q8—1661no—
1610Q8—1661no—
1611Q8—1661no—
1612Q8—1661no—
1613Q8—1661no—
1614Q8—1661no—
1615D4—22no—
1616D4—22no—
1617D4—41no—
1618D4—3322no—
1619D4—3322no—
1620D4—3322no—
1621D4—3322no—
1622D4—3322no—
1623D4—832no—
1624D4—6641no—
1625D4—6641no—
1626D4—6641no—
1627D4—6641no—
1628D4—6641no—
1629D4—6641no—
1630D4—6641no—
1631D4—1661no—
1632D4—1661no—
1633D4—1661no—
1634D4—1661no—
1635D4—1661no—
1636D4—1661no—
1637D4—1661no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—41no—
1646C2×C4—3322no—
1647C2×C4—3322no—
1648C2×C4—3322no—
1649C2×C4—6641no—
1650C2×C4—6641no—
1651C2×C4—6641no—
1652C2×C4—6641no—
1653C2×C4—6641no—
1654C2×C4—6641no—
1655C2×C4—6641no—
1656C2×C4—6641no—
1657C2×C4—6641no—
1658C2×C4—6641no—
1659C2×C4—6641no—
1660C2×C4—6641no—
1661C2×C4—6641no—
1662C2×C4—6641no—
1663C2×C4—6641no—
1664C2×C4—1661no—
1665C2×C4—1661no—
1666C2×C4—1661no—
1667C2×C4—1661no—
1668C2×C4—1661no—
1669C2×C4—1661no—
1670C2×C4—1661no—
1671C2×C4—1661no—
1672C2×C4—1661no—
1673C2×C4—1661no—
1674C2×C4—1661no—
1675C2×C4—1661no—
1676C2×C4C22×D33211yescharacteristic
1677C2×C4C22×D33211yescharacteristic
1678C2×C4C22×D33211yescharacteristic
1679C2×C4C22×D33211yescharacteristic
1680C2×C4C22×D33211yescharacteristic
1681C2×C4C22×D33211yescharacteristic
1682C2×C4C22×D33211yescharacteristic
1683C2×C4C22×D33211yescharacteristic
1684C2×C4C22×D33211yescharacteristic
1685C2×C4C22×D33211yescharacteristic
1686C2×C4C22×D33211yescharacteristic
1687C2×C4C24×D8311yescharacteristic
1688C8—21no—
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8—21no—
1693C8—21no—
1694C8—21no—
1695C8—21no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—21no—
1702C22—21no—
1703C22—21no—
1704C22—13282no—
1705C22—3321no—
1706C22—3321no—
1707C22—3321no—
1708C22—3321no—
1709C22—3321no—
1710C22—3321no—
1711C22—3321no—
1712C22—3321no—
1713C22—3321no—
1714C22—3321no—
1715C22—3321no—
1716C22—6644no—
1717C22—1662no—
1718C22#1912851312yes—
1719C22C23×D33211yescharacteristic
1720C4—21no—
1721C4—21no—
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—21no—
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—21no—
1731C4—3321no—
1732C4—3321no—
1733C4—3321no—
1734C4—3321no—
1735C4—3321no—
1736C4—3321no—
1737C4—3321no—
1738C4—3321no—
1739C4—3321no—
1740C4—3321no—
1741C4—3321no—
1742C4—3321no—
1743C4H(5,𝔽2)×D8311yescharacteristic
1744C4#1912853811yescharacteristic
1745C2—22no—
1746C2—41no—
1747C2—41no—
1748C2—3322no—
1749C2—6641no—
1750C2—6641no—
1751C2—6641no—
1752C2#2492113311yescharacteristic
1753C2C2×#1912851311yescharacteristic
1754C2#2492225111yescharacteristic
subgroupG/H
centerC22C23×D332
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC83×#2992C2
socleC22×C83C23×D4
hypercenter#2992D83
hypocenterC83#62008
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C22 ◁ #529 ◁ #2992

Complements

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

NH ≅ G/Ntype
1. #24921908C2semidirect
2. #24921407C2semidirect
3. #24920531C2semidirect
4. #24920518C2semidirect
5. #24920292C2semidirect
6. #24920246C2semidirect
7. #24919636C2semidirect
8. #24919516C2semidirect
9. #24919456C2semidirect
10. #24919441C2semidirect
11. #24919352C2semidirect
12. #24919329C2semidirect
13. #24919175C2semidirect
14. D4×#13050579C2semidirect
15. #24918993C2semidirect
16. #24918978C2semidirect
17. #24918978C2semidirect
18. #24918963C2semidirect
19. #24918910C2semidirect
20. #24918891C2semidirect
21. #24918815C2semidirect
22. #24918574C2semidirect
23. #24918526C2semidirect
24. #24918492C2semidirect
25. #24917716C2semidirect
26. #24917679C2semidirect
27. #24917603C2semidirect
28. #24917015C2semidirect
29. #24916976C2semidirect
30. C2×#19127907C2semidirect
31. C83×#2992C2semidirect
41. #19128430C22semidirect
42. #19128424C22semidirect
52. D4×Dic166C22semidirect
53. D4×Dic166C22semidirect
55. #19128360C22semidirect
56. #19128356C22semidirect
65. #19128313C22semidirect
66. #19128313C22semidirect
72. #19128277C22semidirect
73. #19128277C22semidirect
74. C2×#14581792C22semidirect
76. #19128235C22semidirect
82. #19128095C22semidirect
83. #19128095C22semidirect
84. #19128095C22semidirect
86. #19128085C22semidirect
88. #19128070C22semidirect
89. #19128070C22semidirect
90. #19128070C22semidirect
91. #19128061C22semidirect
92. #19128056C22semidirect
93. #19128052C22semidirect
94. #19128043C22semidirect
95. #19128043C22semidirect
96. #19128037C22semidirect
97. #19128032C22semidirect
98. #19128032C22semidirect
99. #19128015C22semidirect
100. #19128009C22semidirect
101. #19128009C22semidirect
102. #19128009C22semidirect
103. #19128009C22semidirect
105. #19128002C22semidirect
106. #19128002C22semidirect
107. #19128002C22semidirect
108. #19127997C22semidirect
109. #19127987C22semidirect
110. #19127959C22semidirect
112. #19127947C22semidirect
113. #19127947C22semidirect
114. #19127942C22semidirect
115. #19127942C22semidirect
119. #19127930C22semidirect
120. #19127930C22semidirect
121. #19127930C22semidirect
122. #19127924C22semidirect
123. #19127924C22semidirect
124. #19127924C22semidirect
125. #19127924C22semidirect
126. #19127924C22semidirect
130. #19127917C22semidirect
131. #19127917C22semidirect
132. #19127917C22semidirect
133. #19127917C22semidirect
134. #19127912C22semidirect
135. #19127912C22semidirect
136. #19127912C22semidirect
143. #19127907C22semidirect
144. #19127907C22semidirect
145. #19127907C22semidirect
146. #19127907C22semidirect
147. #19127907C22semidirect
148. #19127907C22semidirect
149. #19127907C22semidirect
154. #19127865C22semidirect
155. #19127859C22semidirect
156. #19127859C22semidirect
157. #19127859C22semidirect
162. #19127848C22semidirect
163. #19127848C22semidirect
167. #19127842C22semidirect
168. #19127842C22semidirect
171. #19127814C22semidirect
172. #19127809C22semidirect
176. #19127803C22semidirect
177. #19127803C22semidirect
178. C4×Dic332C22semidirect
181. C4×#13050579C22semidirect
182. #19127711C22semidirect
183. #19127703C22semidirect
184. #19127698C22semidirect
185. C2×#14581717C22semidirect
186. C2×#14581717C22semidirect
187. C2×#14581717C22semidirect
189. #446×C83C22semidirect
190. #446×C83C22semidirect
192. #435×C83C22semidirect
193. #435×C83C22semidirect
194. #435×C83C22semidirect
196. C8×D4×C83C22semidirect
197. #433×C83C22semidirect
198. #433×C83C22semidirect
199. #432×C83C22semidirect
200. #424×C83C22semidirect
201. #424×C83C22semidirect
202. C2×C4⋊C8×C83C22semidirect
908. #2992D83semidirect
909. C83#62008semidirect
1049. #446C2×D83semidirect
1050. #446C2×D83semidirect
1064. #435C2×D83semidirect
1065. #435C2×D83semidirect
1066. #435C2×D83semidirect
1068. C8×D4C2×D83semidirect
1069. #433C2×D83semidirect
1070. #433C2×D83semidirect
1071. #432C2×D83semidirect
1072. #424C2×D83semidirect
1073. #424C2×D83semidirect
1074. C2×C4⋊C8C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249219082
#249214072
#249205312
#249205182
#249202922
#249202462
#249196362
#249195162
#249194562
#249194412
#249193522
#249193292
#249191752
D4×#130505792
#249189932
#249189782
#249189632
#249189102
#249188912
#249188152
#249185742
#249185262
#249184922
#249177162
#249176792
#249176032
#249170152
#249169762
C2×#191279072
C83×#29922
#6200883