Finite Group Databasebeta

← #36289375

Subgroups — #36289375

Order 21248.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1934 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24921495C211yesmaximal, characteristic, complemented
2D4×#13050590C211yesmaximal, characteristic, complemented
3#24919651C211yesmaximal, characteristic, complemented
4#24919636C211yesmaximal, characteristic, complemented
5#24919621C211yesmaximal, characteristic, complemented
6#24919606C211yesmaximal, characteristic, complemented
7#24919576C211yesmaximal, characteristic, complemented
8#24919546C211yesmaximal, characteristic, complemented
9#24919471C211yesmaximal, characteristic, complemented
10#24919441C211yesmaximal, characteristic, complemented
11#24919053C211yesmaximal, characteristic, complemented
12#24919008C211yesmaximal, characteristic, complemented
13#24919008C211yesmaximal, characteristic, complemented
14#24918993C211yesmaximal, characteristic, complemented
15#24918978C211yesmaximal, characteristic, complemented
16#24918963C211yesmaximal, characteristic, complemented
17#24918948C211yesmaximal, characteristic, complemented
18#24918948C211yesmaximal, characteristic, complemented
19#24918502C211yesmaximal, characteristic, complemented
20#24918460C211yesmaximal, characteristic, complemented
21#24918305C211yesmaximal, characteristic, complemented
22#24918279C211yesmaximal, characteristic, complemented
23#24918256C211yesmaximal, characteristic, complemented
24#24918230C211yesmaximal, characteristic, complemented
25#24917615C211yesmaximal, characteristic, complemented
26#24917574C211yesmaximal, characteristic, complemented
27#24916717C211yesmaximal, characteristic, complemented
28#24916708C211yesmaximal, characteristic, complemented
29#24916685C211yesmaximal, characteristic, complemented
30C2×#19127848C211yesmaximal, characteristic, complemented
31C83×#2973C211yesmaximal, characteristic, complemented
32C22×#13050590C2211yescharacteristic, complemented
33C22×#13050590C2211yescharacteristic, complemented
34C2×#14581825C2211yescharacteristic, complemented
35C2×#14581820C2211yescharacteristic, complemented
36C2×#14581820C2211yescharacteristic, complemented
37C2×#14581820C2211yescharacteristic, complemented
38C2×#14581814C2211yescharacteristic, complemented
39C2×#14581814C2211yescharacteristic, complemented
40C22×#13050579C2211yescharacteristic, complemented
41C22×D664C2211yescharacteristic, complemented
42#19128416C2211yescharacteristic, complemented
43#19128408C2211yescharacteristic, complemented
44#19128399—21no—
45#19128397C2211yescharacteristic
46#19128397C2211yescharacteristic, complemented
47#19128372C2211yescharacteristic, complemented
48#19128372C2211yescharacteristic, complemented
49D4×Dic166C2211yescharacteristic, complemented
50#19128360C2211yescharacteristic
51#19128360C2211yescharacteristic, complemented
52#19128356C2211yescharacteristic, complemented
53#19128352—21no—
54#19128347C2211yescharacteristic
55#19128347C2211yescharacteristic
56#19128347C2211yescharacteristic, complemented
57#19128347C2211yescharacteristic, complemented
58#19128341—21no—
59#19128341—21no—
60#19128341—21no—
61#19128341—21no—
62D4×D332C2211yescharacteristic, complemented
63D4×D332C2211yescharacteristic, complemented
64D4×C22⋊D83—21no—
65D4×C22⋊D83—21no—
66#19128302—21no—
67#19128284—21no—
68#19128284—21no—
69#19128251C2211yescharacteristic, complemented
70#19128251C2211yescharacteristic, complemented
71#19128248—21no—
72#19128235C2211yescharacteristic, complemented
73#19128212C2211yescharacteristic, complemented
74#19128212C2211yescharacteristic, complemented
75#19128212C2211yescharacteristic, complemented
76#19128212C2211yescharacteristic, complemented
77#19128210—21no—
78#19128210—21no—
79C2×#14581766C2211yescharacteristic, complemented
80C2×#14581766C2211yescharacteristic, complemented
81#19128173—21no—
82C4×#13050590C2211yescharacteristic, complemented
83C4×D4×D83—21no—
84#19128095C2211yescharacteristic, complemented
85#19128090C2211yescharacteristic, complemented
86#19128090C2211yescharacteristic, complemented
87#19128090C2211yescharacteristic, complemented
88#19128070C2211yescharacteristic, complemented
89#19128066C2211yescharacteristic, complemented
90#19128061C2211yescharacteristic, complemented
91#19128061C2211yescharacteristic, complemented
92#19128043C2211yescharacteristic, complemented
93#19128043C2211yescharacteristic, complemented
94#19128043C2211yescharacteristic, complemented
95#19128037C2211yescharacteristic, complemented
96#19128032C2211yescharacteristic, complemented
97#19128026C2211yescharacteristic, complemented
98#19128026C2211yescharacteristic, complemented
99#19128026C2211yescharacteristic, complemented
100#19128026C2211yescharacteristic, complemented
101#19128026C2211yescharacteristic, complemented
102#19128020C2211yescharacteristic, complemented
103#19128015C2211yescharacteristic, complemented
104#19128009C2211yescharacteristic, complemented
105#19128002C2211yescharacteristic, complemented
106#19127987C2211yescharacteristic, complemented
107#19127982C2211yescharacteristic, complemented
108#19127959C2211yescharacteristic, complemented
109#19127954C2211yescharacteristic, complemented
110#19127954C2211yescharacteristic, complemented
111#19127954C2211yescharacteristic, complemented
112#19127947C2211yescharacteristic, complemented
113#19127947C2211yescharacteristic, complemented
114#19127947C2211yescharacteristic, complemented
115#19127947C2211yescharacteristic, complemented
116#19127942C2211yescharacteristic, complemented
117#19127937C2211yescharacteristic, complemented
118#19127937C2211yescharacteristic, complemented
119#19127937C2211yescharacteristic, complemented
120#19127930C2211yescharacteristic, complemented
121#19127930C2211yescharacteristic, complemented
122#19127930C2211yescharacteristic, complemented
123#19127930C2211yescharacteristic, complemented
124#19127924C2211yescharacteristic, complemented
125#19127924C2211yescharacteristic, complemented
126#19127924C2211yescharacteristic, complemented
127#19127917C2211yescharacteristic, complemented
128#19127917C2211yescharacteristic, complemented
129#19127917C2211yescharacteristic, complemented
130#19127907C2211yescharacteristic, complemented
131#19127907C2211yescharacteristic, complemented
132#19127902C2211yescharacteristic, complemented
133#19127897C2211yescharacteristic, complemented
134#19127897C2211yescharacteristic, complemented
135#19127897C2211yescharacteristic, complemented
136#19127865C2211yescharacteristic, complemented
137#19127865C2211yescharacteristic, complemented
138#19127865C2211yescharacteristic, complemented
139#19127865C2211yescharacteristic, complemented
140#19127865C2211yescharacteristic, complemented
141#19127865C2211yescharacteristic, complemented
142#19127865C2211yescharacteristic, complemented
143#19127859C2211yescharacteristic, complemented
144#19127854C2211yescharacteristic, complemented
145#19127854C2211yescharacteristic, complemented
146#19127854C2211yescharacteristic, complemented
147#19127848C2211yescharacteristic
148#19127848C2211yescharacteristic, complemented
149#19127848C2211yescharacteristic, complemented
150#19127848C2211yescharacteristic, complemented
151#19127848C2211yescharacteristic, complemented
152#19127848C2211yescharacteristic, complemented
153#19127848C2211yescharacteristic, complemented
154#19127848C2211yescharacteristic, complemented
155#19127848C2211yescharacteristic, complemented
156#19127848C2211yescharacteristic, complemented
157#19127848C2211yescharacteristic, complemented
158#19127848C2211yescharacteristic, complemented
159#19127848C2211yescharacteristic, complemented
160#19127848C2211yescharacteristic, complemented
161#19127848C2211yescharacteristic, complemented
162#19127848C2211yescharacteristic, complemented
163#19127848C2211yescharacteristic, complemented
164#19127842C2211yescharacteristic, complemented
165#19127842C2211yescharacteristic, complemented
166#19127842C2211yescharacteristic, complemented
167#19127837C2211yescharacteristic, complemented
168#19127837C2211yescharacteristic, complemented
169#19127837C2211yescharacteristic, complemented
170#19127837C2211yescharacteristic, complemented
171#19127837C2211yescharacteristic, complemented
172#19127814C2211yescharacteristic, complemented
173#19127814C2211yescharacteristic, complemented
174#19127814C2211yescharacteristic, complemented
175#19127809C2211yescharacteristic, complemented
176#19127803C2211yescharacteristic, complemented
177#19127803C2211yescharacteristic, complemented
178#19127803C2211yescharacteristic, complemented
179#19127803C2211yescharacteristic, complemented
180#19127711C2211yescharacteristic, complemented
181#19127707C2211yescharacteristic, complemented
182#19127703C2211yescharacteristic, complemented
183#19127703C2211yescharacteristic, complemented
184#19127698C2211yescharacteristic, complemented
185#19127698C2211yescharacteristic, complemented
186C2×#14581717C2211yescharacteristic, complemented
187C2×#14581714C2211yescharacteristic, complemented
188C2×C4×D4×C83C2211yescharacteristic
189#435×C83C2211yescharacteristic, complemented
190#435×C83C2211yescharacteristic, complemented
191#435×C83C2211yescharacteristic, complemented
192#435×C83C2211yescharacteristic, complemented
193#435×C83C2211yescharacteristic, complemented
194#435×C83C2211yescharacteristic, complemented
195#435×C83C2211yescharacteristic, complemented
196#435×C83C2211yescharacteristic, complemented
197#432×C83C2211yescharacteristic, complemented
198#432×C83C2211yescharacteristic, complemented
199#407×C83C2211yescharacteristic, complemented
200#407×C83C2211yescharacteristic, complemented
201C2×C22⋊C8×C83C2211yescharacteristic, complemented
202C2×C22⋊C8×C83C2211yescharacteristic, complemented
203C2×#13050590—21no—
204C2×#13050590—21no—
205C2×#13050590—21no—
206C2×#13050590—21no—
207C2×#13050590—21no—
208C2×#13050590—42no—
209C2×#13050590—42no—
210C2×#13050590—42no—
211C2×#13050590—42no—
212C2×#13050590C2311yescharacteristic
213C2×#13050590C2311yescharacteristic
214C2×#13050590C2311yescharacteristic
215C2×#13050590C2311yescharacteristic
216C2×#13050590C2311yescharacteristic
217C2×#13050590C2311yescharacteristic
218C2×#13050590C2311yescharacteristic
219C2×#13050590C2311yescharacteristic
220C2×#13050590C2311yescharacteristic
221C22×Dic166C2311yescharacteristic
222C22×Dic166C2311yescharacteristic
223C22×D332C2311yescharacteristic
224C22×D332C2311yescharacteristic
225C22×D332C2311yescharacteristic
226C22×D332C2311yescharacteristic
227C22×C22⋊D83—21no—
228C22×C22⋊D83—21no—
229C22×C22⋊D83—21no—
230C22×C22⋊D83—21no—
231C2×D4×D83—21no—
232C2×D4×D83—21no—
233C22×C4×D83—21no—
234C22×C4×D83—21no—
235#14581825—42no—
236#14581820—42no—
237#14581820—42no—
238#14581820—42no—
239#14581814—42no—
240#14581814—42no—
241C2×Dic332C2311yescharacteristic
242C2×Dic332C2311yescharacteristic
243C2×Dic332C2311yescharacteristic
244C2×#13050579—42no—
245C2×#13050579C2311yescharacteristic
246C2×#13050579C2311yescharacteristic
247C2×#13050579C2311yescharacteristic
248C2×#13050579C2311yescharacteristic
249C2×#13050579C2311yescharacteristic
250C2×#13050579C2311yescharacteristic
251C2×#13050579C2311yescharacteristic
252C2×#13050579C2311yescharacteristic
253C2×#13050579C2311yescharacteristic
254C2×#13050579C2311yescharacteristic
255C2×#13050579C2311yescharacteristic
256C2×#13050579C2311yescharacteristic
257C2×D664—42no—
258C2×D664C2311yescharacteristic
259C2×D664C2311yescharacteristic
260C2×D664C2311yescharacteristic
261C2×D664C2311yescharacteristic
262C2×D664C2311yescharacteristic
263C2×D664C2311yescharacteristic
264C2×D664C2311yescharacteristic
265C2×D664C2311yescharacteristic
266C2×D664C2311yescharacteristic
267#14581792C2311yescharacteristic
268#14581792C2311yescharacteristic
269#14581791—21no—
270#14581789C2311yescharacteristic
271#14581789C2311yescharacteristic
272#14581788—21no—
273#14581788—21no—
274#14581787—21no—
275#14581787—21no—
276#14581786—21no—
277#14581784C2311yescharacteristic
278#14581783—21no—
279#14581780—21no—
280#14581780C2311yescharacteristic
281#14581780C2311yescharacteristic
282#14581780C2311yescharacteristic
283#14581778—21no—
284#14581778—21no—
285#14581778—21no—
286#14581778—21no—
287#14581777—21no—
288#14581777—21no—
289#14581777—21no—
290#14581777—21no—
291#14581775—21no—
292#14581775—21no—
293#14581775—21no—
294#14581775—21no—
295#14581775—21no—
296#14581774—21no—
297#14581774—21no—
298#14581774—21no—
299#14581774—21no—
300#14581771C2311yescharacteristic
301#14581771C2311yescharacteristic
302#14581771C2311yescharacteristic
303#14581771C2311yescharacteristic
304#14581771C2311yescharacteristic
305#14581771C2311yescharacteristic
306#14581771C2311yescharacteristic
307#14581770—21no—
308#14581770—21no—
309#14581769—21no—
310#14581769—21no—
311#14581769—21no—
312#14581769—21no—
313#14581767—21no—
314#14581767—21no—
315#14581766—21no—
316#14581766—21no—
317#14581766—21no—
318#14581766—21no—
319#14581766—21no—
320#14581766—21no—
321#14581766—21no—
322#14581766C2311yescharacteristic
323#14581766C2311yescharacteristic
324#14581766C2311yescharacteristic
325#14581766C2311yescharacteristic
326#14581766C2311yescharacteristic
327#14581766C2311yescharacteristic
328#14581766C2311yescharacteristic
329#14581766C2311yescharacteristic
330#14581766C2311yescharacteristic
331#14581766C2311yescharacteristic
332#14581766C2311yescharacteristic
333#14581766C2311yescharacteristic
334#14581766C2311yescharacteristic
335#14581765—21no—
336#14581765—21no—
337#14581765—21no—
338#14581765—21no—
339#14581765—21no—
340#14581765—21no—
341#14581765—21no—
342#14581765—21no—
343#14581764—21no—
344#14581764—21no—
345#14581764—21no—
346#14581764—21no—
347#14581763—21no—
348#14581763—21no—
349#14581762—21no—
350#14581762—21no—
351#14581762—21no—
352#14581762—21no—
353#14581761—21no—
354#14581761—21no—
355#14581761—21no—
356#14581761—21no—
357#14581760—21no—
358#14581760—21no—
359#14581760—21no—
360#14581760—21no—
361C4×Dic166C2311yescharacteristic
362C4×Dic166C2311yescharacteristic
363C4×Dic166C2311yescharacteristic
364C4×D332—21no—
365C4×D332—21no—
366C4×D332—21no—
367C4×D332C2311yescharacteristic
368C4×D332C2311yescharacteristic
369C4×D332C2311yescharacteristic
370C4×D332C2311yescharacteristic
371C4×D332C2311yescharacteristic
372D4×Dic83—21no—
373D4×Dic83—21no—
374#14581754—21no—
375#14581754—21no—
376C4×C22⋊D83—21no—
377C4×C22⋊D83—21no—
378C4×C22⋊D83—21no—
379C4×C22⋊D83—21no—
380C4×C22⋊D83—21no—
381C4×C22⋊D83—21no—
382C4×C22⋊D83—21no—
383C4×C22⋊D83—21no—
384C4×C22⋊D83—21no—
385C4×C22⋊D83—21no—
386C4×C22⋊D83—21no—
387(C22⋊D83)⋊C4—21no—
388(C22⋊D83)⋊C4—21no—
389(C22⋊D83)⋊C4—21no—
390(C22⋊D83)⋊C4—21no—
391#14581751C2311yescharacteristic
392#14581751C2311yescharacteristic
393#14581751C2311yescharacteristic
394#14581750—21no—
395#14581749—21no—
396#14581749—21no—
397C2×C4⋊Dic83C2311yescharacteristic
398C2×C4⋊Dic83C2311yescharacteristic
399C4⋊C4×D83—21no—
400C2×(C2×D83)⋊C4—21no—
401C2×(C2×D83)⋊C4—21no—
402C22⋊C4×D83—21no—
403C22⋊C4×D83—21no—
404C22⋊C4×D83—21no—
405C22⋊C4×D83—21no—
406C42×D83—21no—
407#14581726C2311yescharacteristic
408#14581726C2311yescharacteristic
409#14581726C2311yescharacteristic
410#14581726C2311yescharacteristic
411#14581724C2311yescharacteristic
412#14581724C2311yescharacteristic
413#14581724C2311yescharacteristic
414#14581724C2311yescharacteristic
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#14581714C2311yescharacteristic
430#14581714C2311yescharacteristic
431#14581714C2311yescharacteristic
432#14581714C2311yescharacteristic
433#14581714C2311yescharacteristic
434#14581714C2311yescharacteristic
435#14581714C2311yescharacteristic
436#14581714C2311yescharacteristic
437#14581714C2311yescharacteristic
438#14581714C2311yescharacteristic
439#14581714C2311yescharacteristic
440#14581714C2311yescharacteristic
441#14581714C2311yescharacteristic
442#14581714C2311yescharacteristic
443#14581714C2311yescharacteristic
444#14581714C2311yescharacteristic
445#14581714C2311yescharacteristic
446#14581714C2311yescharacteristic
447C22×D4×C83D411yescharacteristic
448C23×C4×C83C2311yescharacteristic
449C23×C4×C83C2311yescharacteristic
450C2×M16×C83C2311yescharacteristic
451C2×M16×C83C2311yescharacteristic
452C2×M16×C83C2311yescharacteristic
453C2×M16×C83C2311yescharacteristic
454C22×C8×C83C2311yescharacteristic
455C22×C8×C83C2311yescharacteristic
456C22×C8×C83C2311yescharacteristic
457C22×C8×C83C2311yescharacteristic
458C4×D4×C83D411yescharacteristic
459C4×D4×C83D411yescharacteristic
460C4×D4×C83D411yescharacteristic
461C4×D4×C83D411yescharacteristic
462C4×D4×C83C2311yescharacteristic
463C4×D4×C83C2311yescharacteristic
464C4×D4×C83C2311yescharacteristic
465C4×D4×C83C2311yescharacteristic
466C2×C4⋊C4×C83D411yescharacteristic
467C2×C22⋊C4×C83D411yescharacteristic
468C2×C22⋊C4×C83D411yescharacteristic
469C2×C42×C83C2311yescharacteristic
470C4⋊C8×C83C2311yescharacteristic
471C4⋊C8×C83C2311yescharacteristic
472C4⋊C8×C83C2311yescharacteristic
473C4⋊C8×C83C2311yescharacteristic
474C22⋊C8×C83C2311yescharacteristic
475C22⋊C8×C83C2311yescharacteristic
476C22⋊C8×C83C2311yescharacteristic
477C22⋊C8×C83C2311yescharacteristic
478C22⋊C8×C83C2311yescharacteristic
479C22⋊C8×C83C2311yescharacteristic
480C22⋊C8×C83C2311yescharacteristic
481C22⋊C8×C83C2311yescharacteristic
482C22⋊C8×C83C2311yescharacteristic
483C22⋊C8×C83C2311yescharacteristic
484C22⋊C8×C83C2311yescharacteristic
485C22⋊C8×C83C2311yescharacteristic
486#97×C83C2311yescharacteristic
487#97×C83C2311yescharacteristic
488#97×C83C2311yescharacteristic
489#97×C83C2311yescharacteristic
490C23×D83—21no—
491C23×D83—21no—
492C23×D83—21no—
493C23×D83—21no—
494#13050590—22no—
495#13050590—22no—
496#13050590—22no—
497#13050590—22no—
498#13050590—22no—
499#13050590—22no—
500#13050590—41no—
501#13050590—41no—
502#13050590—41no—
503#13050590—41no—
504#13050590—41no—
505#13050590—41no—
506#13050590—41no—
507#13050590—41no—
508#13050590—41no—
509#13050590—41no—
510#13050590—41no—
511#13050590—41no—
512#13050590—44no—
513#13050590—44no—
514#13050590—44no—
515#13050590—44no—
516#13050590—82no—
517C2×Dic166—22no—
518C2×Dic166—22no—
519C2×Dic166—21no—
520C2×Dic166—21no—
521C2×Dic166—21no—
522C2×Dic166—41no—
523C2×Dic166—41no—
524C2×Dic166C2411yescharacteristic
525C2×Dic166C2411yescharacteristic
526C2×Dic166C2411yescharacteristic
527C2×Dic166C2411yescharacteristic
528C2×D332—22no—
529C2×D332—22no—
530C2×D332—21no—
531C2×D332—21no—
532C2×D332—21no—
533C2×D332—21no—
534C2×D332—21no—
535C2×D332—21no—
536C2×D332—21no—
537C2×D332—21no—
538C2×D332—41no—
539C2×D332—41no—
540C2×D332—41no—
541C2×D332—41no—
542C2×D332—41no—
543C2×D332—41no—
544C2×D332C2411yescharacteristic
545C2×D332C2411yescharacteristic
546C2×D332C2411yescharacteristic
547C2×D332C2411yescharacteristic
548C2×D332C2411yescharacteristic
549C2×D332C2411yescharacteristic
550C2×C22⋊D83—21no—
551C2×C22⋊D83—21no—
552C2×C22⋊D83—21no—
553C2×C22⋊D83—21no—
554C2×C22⋊D83—21no—
555C2×C22⋊D83—21no—
556C2×C22⋊D83—21no—
557C2×C22⋊D83—21no—
558C2×C22⋊D83—21no—
559C2×C22⋊D83—21no—
560C2×C22⋊D83—21no—
561C2×C22⋊D83—21no—
562C2×C22⋊D83—21no—
563C2×C22⋊D83—21no—
564C2×C22⋊D83—21no—
565C2×C22⋊D83—21no—
566C2×C22⋊D83—21no—
567C2×C22⋊D83—21no—
568C2×C22⋊D83—21no—
569C2×C22⋊D83—21no—
570C2×C22⋊D83—21no—
571C2×C22⋊D83—21no—
572C2×C22⋊D83—44no—
573C2×C22⋊D83—44no—
574C2×C22⋊D83—82no—
575C2×C22⋊D83—82no—
576D4×D83—44no—
577D4×D83—44no—
578C22×Dic83—21no—
579C22×Dic83—21no—
580C22×Dic83—21no—
581C22×Dic83—21no—
582C2×C4×D83—21no—
583C2×C4×D83—21no—
584C2×C4×D83—21no—
585C2×C4×D83—21no—
586C2×C4×D83—21no—
587C2×C4×D83—21no—
588C2×C4×D83—21no—
589C2×C4×D83—21no—
590C2×C4×D83—21no—
591C2×C4×D83—21no—
592C2×C4×D83—21no—
593C2×C4×D83—21no—
594C2×C4×D83—21no—
595C2×C4×D83—21no—
596C2×C4×D83—44no—
597C2×C4×D83—44no—
598Dic332—22no—
599Dic332—41no—
600Dic332—41no—
601#13050579—22no—
602#13050579—22no—
603#13050579—22no—
604#13050579—22no—
605#13050579—41no—
606#13050579—41no—
607#13050579—41no—
608#13050579—41no—
609#13050579—41no—
610#13050579—41no—
611#13050579—41no—
612#13050579—41no—
613D664—22no—
614D664—22no—
615D664—22no—
616D664—41no—
617D664—41no—
618D664—41no—
619D664—41no—
620D664—41no—
621D664—41no—
622C4⋊Dic83—21no—
623C4⋊Dic83—21no—
624C4⋊Dic83—21no—
625C4⋊Dic83—21no—
626C4⋊Dic83—21no—
627C4⋊Dic83C2411yescharacteristic
628C4⋊Dic83C2411yescharacteristic
629C4⋊Dic83C2411yescharacteristic
630C4⋊Dic83C2411yescharacteristic
631C4⋊Dic83C2411yescharacteristic
632C4⋊Dic83C2411yescharacteristic
633Dic83⋊C4—21no—
634Dic83⋊C4—21no—
635Dic83⋊C4—21no—
636Dic83⋊C4—21no—
637Dic83⋊C4—21no—
638Dic83⋊C4—21no—
639Dic83⋊C4—21no—
640Dic83⋊C4—21no—
641Dic83⋊C4—21no—
642Dic83⋊C4—21no—
643Dic83⋊C4—21no—
644Dic83⋊C4—21no—
645C22⋊Dic83—21no—
646C22⋊Dic83—21no—
647C22⋊Dic83—21no—
648C22⋊Dic83—21no—
649C22⋊Dic83—21no—
650C22⋊Dic83—21no—
651C22⋊Dic83—21no—
652C22⋊Dic83—21no—
653C22⋊Dic83—21no—
654C22⋊Dic83—21no—
655(C2×D83)⋊C4—21no—
656(C2×D83)⋊C4—21no—
657(C2×D83)⋊C4—21no—
658(C2×D83)⋊C4—21no—
659(C2×D83)⋊C4—21no—
660(C2×D83)⋊C4—21no—
661(C2×D83)⋊C4—21no—
662(C2×D83)⋊C4—21no—
663(C2×D83)⋊C4—21no—
664(C2×D83)⋊C4—21no—
665(C2×D83)⋊C4—21no—
666(C2×D83)⋊C4—21no—
667(C2×D83)⋊C4—21no—
668(C2×D83)⋊C4—21no—
669(C2×D83)⋊C4—21no—
670(C2×D83)⋊C4—21no—
671(C2×D83)⋊C4—21no—
672(C2×D83)⋊C4—21no—
673(C2×D83)⋊C4—21no—
674(C2×D83)⋊C4—21no—
675(C2×D83)⋊C4—21no—
676(C2×D83)⋊C4—21no—
677(C2×D83)⋊C4—21no—
678(C2×D83)⋊C4—21no—
679C4×Dic83—21no—
680C4×Dic83—21no—
681C4×Dic83—21no—
682C4×Dic83—21no—
683C4×Dic83—21no—
684C4×Dic83—21no—
685C24×C83C2×D411yescharacteristic
686C24×C83C2×D411yescharacteristic
687C2×D4×C83—42no—
688C2×D4×C83C2×D411yescharacteristic
689C2×D4×C83C2×D411yescharacteristic
690C2×D4×C83C2×D411yescharacteristic
691C2×D4×C83C2×D411yescharacteristic
692C22×C4×C83—41no—
693C22×C4×C83—41no—
694C22×C4×C83—41no—
695C22×C4×C83—41no—
696C22×C4×C83C2×D411yescharacteristic
697C22×C4×C83C2×D411yescharacteristic
698C22×C4×C83C2×D411yescharacteristic
699C22×C4×C83C2×D411yescharacteristic
700C22×C4×C83C2×D411yescharacteristic
701C22×C4×C83C2×D411yescharacteristic
702C22×C4×C83C2×D411yescharacteristic
703C22×C4×C83C2×D411yescharacteristic
704C22×C4×C83C2411yescharacteristic
705C22×C4×C83C2411yescharacteristic
706C22×C4×C83C2411yescharacteristic
707C22×C4×C83C2411yescharacteristic
708C22×C4×C83C2411yescharacteristic
709M16×C83—41no—
710M16×C83—41no—
711M16×C83—41no—
712M16×C83—41no—
713C2×C8×C83—41no—
714C2×C8×C83—41no—
715C2×C8×C83—41no—
716C2×C8×C83—41no—
717C2×C8×C83C2411yescharacteristic
718C2×C8×C83C2411yescharacteristic
719C2×C8×C83C2411yescharacteristic
720C2×C8×C83C2411yescharacteristic
721C2×C8×C83C2411yescharacteristic
722C2×C8×C83C2411yescharacteristic
723C2×C8×C83C2411yescharacteristic
724C2×C8×C83C2411yescharacteristic
725C4⋊C4×C83C2×D411yescharacteristic
726C4⋊C4×C83C2×D411yescharacteristic
727C4⋊C4×C83C2×D411yescharacteristic
728C4⋊C4×C83C2×D411yescharacteristic
729C22⋊C4×C83C2×D411yescharacteristic
730C22⋊C4×C83C2×D411yescharacteristic
731C22⋊C4×C83C2×D411yescharacteristic
732C22⋊C4×C83C2×D411yescharacteristic
733C22⋊C4×C83C2×D411yescharacteristic
734C22⋊C4×C83C2×D411yescharacteristic
735C22⋊C4×C83C2×D411yescharacteristic
736C22⋊C4×C83C2×D411yescharacteristic
737C42×C83C2×D411yescharacteristic
738C42×C83C2×D411yescharacteristic
739C42×C83C2411yescharacteristic
740C42×C83C2411yescharacteristic
741C23×C83—22no—
742C23×C83—41no—
743C23×C83—41no—
744C23×C83—41no—
745C23×C83—41no—
746C23×C83—41no—
747C23×C83C22×D411yescharacteristic
748C23×C83C22×D411yescharacteristic
749C23×C83C22×D411yescharacteristic
750C23×C83C22×D411yescharacteristic
751C23×C83C22×D411yescharacteristic
752C22×D83—21no—
753C22×D83—21no—
754C22×D83—21no—
755C22×D83—21no—
756C22×D83—21no—
757C22×D83—21no—
758C22×D83—42no—
759C22×D83—42no—
760C22×D83—42no—
761C22×D83—42no—
762C22×D83—42no—
763C22×D83—42no—
764C22×D83—81no—
765C22×D83—81no—
766C22×D83—81no—
767C22×D83—81no—
768C22×D83—81no—
769C22×D83—81no—
770D4×C83—22no—
771D4×C83—22no—
772D4×C83—41no—
773D4×C83—41no—
774C2×C4×C83—21no—
775C2×C4×C83—21no—
776C2×C4×C83—21no—
777C2×C4×C83—21no—
778C2×C4×C83—21no—
779C2×C4×C83—21no—
780C2×C4×C83—21no—
781C2×C4×C83—21no—
782C2×C4×C83—21no—
783C2×C4×C83—21no—
784C2×C4×C83—41no—
785C2×C4×C83—41no—
786C2×C4×C83—41no—
787C2×C4×C83—41no—
788C2×C4×C83—41no—
789C2×C4×C83—41no—
790C2×C4×C83—41no—
791C2×C4×C83—41no—
792C2×C4×C83C22×D411yescharacteristic
793C2×C4×C83C22×D411yescharacteristic
794C2×C4×C83C22×D411yescharacteristic
795C2×C4×C83C22×D411yescharacteristic
796C2×C4×C83C22×D411yescharacteristic
797C2×C4×C83C22×D411yescharacteristic
798C2×C4×C83C22×D411yescharacteristic
799C2×C4×C83C22×D411yescharacteristic
800C2×C4×C83C22×D411yescharacteristic
801C2×C4×C83C2511yescharacteristic
802C22⋊D83—24no—
803C22⋊D83—42no—
804C22⋊D83—42no—
805C22⋊D83—42no—
806C22⋊D83—42no—
807C22⋊D83—42no—
808C22⋊D83—42no—
809C22⋊D83—42no—
810C22⋊D83—42no—
811C22⋊D83—42no—
812C22⋊D83—42no—
813C22⋊D83—42no—
814C22⋊D83—42no—
815C22⋊D83—42no—
816C22⋊D83—81no—
817C22⋊D83—81no—
818C22⋊D83—81no—
819C22⋊D83—81no—
820C22⋊D83—81no—
821C22⋊D83—81no—
822C22⋊D83—81no—
823C22⋊D83—81no—
824C2×Dic83—21no—
825C2×Dic83—21no—
826C2×Dic83—21no—
827C2×Dic83—21no—
828C2×Dic83—21no—
829C2×Dic83—21no—
830C2×Dic83—21no—
831C2×Dic83—21no—
832C2×Dic83—21no—
833C2×Dic83—21no—
834C2×Dic83—42no—
835C2×Dic83—42no—
836C2×Dic83—81no—
837C2×Dic83—81no—
838D332—21no—
839D332—21no—
840D332—21no—
841D332—21no—
842D332—21no—
843D332—21no—
844D332—21no—
845D332—21no—
846D332—21no—
847D332—21no—
848D332—21no—
849D332—42no—
850D332—42no—
851D332—42no—
852D332—42no—
853D332—81no—
854D332—81no—
855D332—81no—
856D332—81no—
857D332H(5,𝔽2)12yes—
858C4×D83—24no—
859C4×D83—42no—
860C4×D83—42no—
861C4×D83—42no—
862C4×D83—42no—
863C4×D83—42no—
864C4×D83—42no—
865C4×D83—42no—
866C4×D83—42no—
867C4×D83—81no—
868C4×D83—81no—
869C4×D83—81no—
870C4×D83—81no—
871C4×D83—81no—
872Dic166—21no—
873Dic166—21no—
874Dic166—21no—
875Dic166—21no—
876Dic166—21no—
877Dic166—21no—
878Dic166—21no—
879Dic166—42no—
880Dic166—42no—
881Dic166—81no—
882Dic166H(5,𝔽2)12yes—
883C8×C83—21no—
884C8×C83—21no—
885C8×C83—21no—
886C8×C83—21no—
887C8×C83—21no—
888C8×C83—21no—
889C8×C83—21no—
890C8×C83—21no—
891C22×C83—21no—
892C22×C83—21no—
893C22×C83—21no—
894C22×C83—21no—
895C22×C83—21no—
896C22×C83—21no—
897C22×C83—21no—
898C22×C83—21no—
899C22×C83—21no—
900C22×C83—21no—
901C22×C83—21no—
902C22×C83—21no—
903C22×C83—21no—
904C22×C83—21no—
905C22×C83—82no—
906C22×C83—82no—
907C22×C83#57512yes—
908C22×C83C23×D411yescharacteristic
909C2×D83—22no—
910C2×D83—41no—
911C2×D83—41no—
912C2×D83—41no—
913C2×D83—41no—
914C2×D83—41no—
915C2×D83—41no—
916C2×D83—41no—
917C2×D83—41no—
918C2×D83—41no—
919C2×D83—41no—
920C2×D83—41no—
921C2×D83—41no—
922C2×D83—41no—
923C2×D83—41no—
924C2×D83—41no—
925C2×D83—41no—
926C2×D83—41no—
927C2×D83—84no—
928C2×D83—84no—
929C2×D83—162no—
930C2×D83—162no—
931C4×C83—21no—
932C4×C83—21no—
933C4×C83—21no—
934C4×C83—21no—
935C4×C83—21no—
936C4×C83—21no—
937C4×C83—21no—
938C4×C83—21no—
939C4×C83—21no—
940C4×C83C2×H(5,𝔽2)11yescharacteristic
941C4×C83C2×H(5,𝔽2)11yescharacteristic
942Dic83—22no—
943Dic83—41no—
944Dic83—41no—
945Dic83—41no—
946Dic83—41no—
947Dic83—41no—
948Dic83—41no—
949Dic83—41no—
950Dic83—41no—
951Dic83—41no—
952#61579—831nomaximal, Sylow
953C2×C83—22no—
954C2×C83—41no—
955C2×C83—41no—
956C2×C83—41no—
957C2×C83—41no—
958C2×C83#348411yescharacteristic
959C2×C83C2×#57511yescharacteristic
960C2×C83#358511yescharacteristic
961D83—42no—
962D83—81no—
963D83—81no—
964D83—81no—
965D83—81no—
966D83—81no—
967#3519—831no—
968D4×#41—831no—
969#3321—831no—
970#3320—831no—
971#3319—831no—
972#3318—831no—
973#3316—831no—
974#3314—831no—
975#3309—831no—
976#3307—831no—
977#3271—831no—
978#3268—831no—
979#3268—831no—
980#3267—831no—
981#3266—831no—
982#3265—831no—
983#3264—831no—
984#3264—831no—
985#3219—831no—
986#3214—831no—
987#3197—831no—
988#3194—831no—
989#3191—831no—
990#3188—831no—
991#3115—831no—
992#3111—831no—
993#3006—831no—
994#3005—831no—
995#3002—831no—
996C2×#449—831no—
997#2973D8311yescharacteristic, complemented
998C83#6157911yescharacteristic, complemented, Sylow
999C22×#41—831no—
1000C22×#41—831no—
1001C2×#137—831no—
1002C2×AGL(1,ℤ/8)—831no—
1003C2×AGL(1,ℤ/8)—831no—
1004C2×AGL(1,ℤ/8)—831no—
1005C2×#135—831no—
1006C2×#135—831no—
1007C22×SD16—831no—
1008C22×D8—831no—
1009#555—831no—
1010#554—831no—
1011#553—831no—
1012#553—831no—
1013#553—1661no—
1014#550—831no—
1015#550—831no—
1016D4×Q8—831no—
1017#548—831no—
1018#548—831no—
1019#547—831no—
1020#547—1661no—
1021#546—831no—
1022#546—831no—
1023#546—831no—
1024#546—831no—
1025#546—1661no—
1026#546—1661no—
1027#546—1661no—
1028#546—1661no—
1029D42—831no—
1030D42—831no—
1031D42—1661no—
1032D42—1661no—
1033#540—1661no—
1034#538—1661no—
1035#538—1661no—
1036#532—831no—
1037#532—831no—
1038#532—1661no—
1039#529—831no—
1040#525—831no—
1041#525—831no—
1042#525—831no—
1043#525—831no—
1044#525—1661no—
1045#525—1661no—
1046C2×#121—831no—
1047C2×#121—831no—
1048#518—1661no—
1049C4×#41—831no—
1050C2×C4×D4—1661no—
1051C2×C4×D4C2×D8311yescharacteristic
1052#497—831no—
1053#496—831no—
1054#496—831no—
1055#496—831no—
1056#491—831no—
1057#490—831no—
1058#489—831no—
1059#489—831no—
1060#485—831no—
1061#485—831no—
1062#485—831no—
1063#484—831no—
1064#483—831no—
1065#482—831no—
1066#482—831no—
1067#482—831no—
1068#482—831no—
1069#482—831no—
1070#481—831no—
1071#480—831no—
1072#479—831no—
1073#478—831no—
1074#475—831no—
1075#474—831no—
1076#470—831no—
1077#469—831no—
1078#469—831no—
1079#469—831no—
1080#468—831no—
1081#468—831no—
1082#468—831no—
1083#468—831no—
1084#467—831no—
1085#466—831no—
1086#466—831no—
1087#466—831no—
1088#465—831no—
1089#465—831no—
1090#465—831no—
1091#465—831no—
1092#464—831no—
1093#464—831no—
1094#464—831no—
1095#463—831no—
1096#463—831no—
1097#463—831no—
1098#461—831no—
1099#461—831no—
1100#460—831no—
1101#459—831no—
1102#459—831no—
1103#459—831no—
1104#452—831no—
1105#452—831no—
1106#452—831no—
1107#452—831no—
1108#452—831no—
1109#452—831no—
1110#452—831no—
1111#451—831no—
1112#450—831no—
1113#450—831no—
1114#450—831no—
1115#449—831no—
1116#449—831no—
1117#449—831no—
1118#449—831no—
1119#449—831no—
1120#449—831no—
1121#449—831no—
1122#449—831no—
1123#449—831no—
1124#449—831no—
1125#449—831no—
1126#449—831no—
1127#449—831no—
1128#449—831no—
1129#449—831no—
1130#449—831no—
1131#449—831no—
1132#448—831no—
1133#448—831no—
1134#448—831no—
1135#447—831no—
1136#447—831no—
1137#447—831no—
1138#447—831no—
1139#447—831no—
1140#442—831no—
1141#442—831no—
1142#442—831no—
1143#441—831no—
1144#440—831no—
1145#440—831no—
1146#440—831no—
1147#440—831no—
1148#435C2×D8311yescharacteristic, complemented
1149#435C2×D8311yescharacteristic, complemented
1150#435C2×D8311yescharacteristic, complemented
1151#435C2×D8311yescharacteristic, complemented
1152#435C2×D8311yescharacteristic, complemented
1153#435C2×D8311yescharacteristic, complemented
1154#435C2×D8311yescharacteristic, complemented
1155#435C2×D8311yescharacteristic, complemented
1156#432C2×D8311yescharacteristic, complemented
1157#432C2×D8311yescharacteristic, complemented
1158#419—831no—
1159#418—831no—
1160#417—831no—
1161#417—831no—
1162#416—831no—
1163#416—831no—
1164C2×#103—831no—
1165C2×#102—831no—
1166#407C2×D8311yescharacteristic, complemented
1167#407C2×D8311yescharacteristic, complemented
1168C2×C22⋊C8C2×D8311yescharacteristic, complemented
1169C2×C22⋊C8C2×D8311yescharacteristic, complemented
1170C2×#41—3322no—
1171C2×#41—3322no—
1172C2×#41—3322no—
1173C2×#41—3322no—
1174C2×#41—831no—
1175C2×#41—831no—
1176C2×#41—831no—
1177C2×#41—831no—
1178C2×#41—831no—
1179C2×#41—831no—
1180C2×#41—831no—
1181C2×#41—831no—
1182C2×#41—831no—
1183C2×#41—1661no—
1184C2×#41—1661no—
1185C2×#41—1661no—
1186C2×#41—1661no—
1187C2×#41—1661no—
1188C22×Q8—831no—
1189C22×Q8—831no—
1190C22×D4—831no—
1191C22×D4—831no—
1192C22×D4—831no—
1193C22×D4—831no—
1194C22×D4—1661no—
1195C22×D4—1661no—
1196C22×D4—1661no—
1197C22×D4—1661no—
1198C22×D4—1661no—
1199C22×D4—1661no—
1200C22×D4D33211yescharacteristic
1201C23×C4—1661no—
1202C23×C4—1661no—
1203C23×C4C22×D8311yescharacteristic
1204C23×C4C22×D8311yescharacteristic
1205#137—3322no—
1206AGL(1,ℤ/8)—3322no—
1207AGL(1,ℤ/8)—3322no—
1208AGL(1,ℤ/8)—3322no—
1209#135—3322no—
1210#135—3322no—
1211C2×Q16—831no—
1212C2×Q16—831no—
1213C2×Q16—831no—
1214C2×SD16—3322no—
1215C2×SD16—831no—
1216C2×SD16—831no—
1217C2×SD16—831no—
1218C2×SD16—831no—
1219C2×SD16—831no—
1220C2×SD16—831no—
1221C2×SD16—831no—
1222C2×SD16—831no—
1223C2×SD16—831no—
1224C2×SD16—831no—
1225C2×SD16—831no—
1226C2×SD16—831no—
1227C2×D8—3322no—
1228C2×D8—831no—
1229C2×D8—831no—
1230C2×D8—831no—
1231C2×D8—831no—
1232C2×D8—831no—
1233C2×D8—831no—
1234C2×D8—831no—
1235C2×D8—831no—
1236C2×D8—831no—
1237C2×M16C22×D8311yescharacteristic
1238C2×M16C22×D8311yescharacteristic
1239C2×M16C22×D8311yescharacteristic
1240C2×M16C22×D8311yescharacteristic
1241C22×C8C22×D8311yescharacteristic
1242C22×C8C22×D8311yescharacteristic
1243C22×C8C22×D8311yescharacteristic
1244C22×C8C22×D8311yescharacteristic
1245C4⋊Q8—831no—
1246C4⋊Q8—831no—
1247C4⋊Q8—1661no—
1248#127—831no—
1249#127—831no—
1250#127—1661no—
1251#127—1661no—
1252#126—1661no—
1253#126—1661no—
1254#126—1661no—
1255#125—831no—
1256#125—1661no—
1257#124—831no—
1258#124—831no—
1259#124—831no—
1260#124—1661no—
1261#124—1661no—
1262#124—1661no—
1263#124—1661no—
1264#124—1661no—
1265#123—1661no—
1266#123—1661no—
1267#123—1661no—
1268#123—1661no—
1269#123—1661no—
1270#123—1661no—
1271#123—1661no—
1272#123—1661no—
1273#123—1661no—
1274#123—1661no—
1275#123—1661no—
1276#123—1661no—
1277#123—1661no—
1278C22⋊Q8—831no—
1279C22⋊Q8—831no—
1280C22⋊Q8—831no—
1281C22⋊Q8—831no—
1282C22⋊Q8—831no—
1283C22⋊Q8—831no—
1284C22⋊Q8—831no—
1285C22⋊Q8—1661no—
1286C22⋊Q8—1661no—
1287C22⋊Q8—1661no—
1288C22⋊Q8—1661no—
1289C22⋊Q8—1661no—
1290C22⋊Q8—1661no—
1291#121—831no—
1292#121—831no—
1293#121—831no—
1294#121—831no—
1295#121—831no—
1296#121—831no—
1297#121—831no—
1298#121—831no—
1299#121—831no—
1300#121—831no—
1301#121—831no—
1302#121—831no—
1303#121—831no—
1304#121—1661no—
1305#121—1661no—
1306#121—1661no—
1307#121—1661no—
1308#121—1661no—
1309#121—1661no—
1310#121—1661no—
1311#121—1661no—
1312#121—1661no—
1313#121—1661no—
1314#121—1661no—
1315#121—1661no—
1316#121—1661no—
1317#121—1661no—
1318#121—1661no—
1319#121—1661no—
1320#121—1661no—
1321#121—1661no—
1322#121—1661no—
1323#121—1661no—
1324#121—1661no—
1325#121—1661no—
1326#121—1661no—
1327#120—1661no—
1328#120—1661no—
1329#120—1661no—
1330#120—1661no—
1331#120—1661no—
1332#120—1661no—
1333#120—1661no—
1334#120—1661no—
1335#120—1661no—
1336#120—1661no—
1337#120—1661no—
1338#120—1661no—
1339C4×Q8—831no—
1340C4×Q8—831no—
1341C4×Q8—831no—
1342C4×D4—831no—
1343C4×D4—831no—
1344C4×D4—831no—
1345C4×D4—831no—
1346C4×D4—831no—
1347C4×D4—1661no—
1348C4×D4—1661no—
1349C4×D4—1661no—
1350C4×D4—1661no—
1351C4×D4—1661no—
1352C4×D4—1661no—
1353C4×D4—1661no—
1354C4×D4—1661no—
1355C4×D4—1661no—
1356C4×D4—1661no—
1357C4×D4—1661no—
1358C4×D4—1661no—
1359C4×D4—1661no—
1360C4×D4—1661no—
1361C4×D4—1661no—
1362C4×D4—1661no—
1363C4×D4—1661no—
1364C4×D4—1661no—
1365C4×D4—1661no—
1366C4×D4—1661no—
1367C4×D4—1661no—
1368C4×D4—1661no—
1369C4×D4D33211yescharacteristic
1370C4×D4D33211yescharacteristic
1371C4×D4D33211yescharacteristic
1372C4×D4D33211yescharacteristic
1373C4×D4C22×D8311yescharacteristic
1374C4×D4C22×D8311yescharacteristic
1375C4×D4C22×D8311yescharacteristic
1376C4×D4C22×D8311yescharacteristic
1377#117—831no—
1378#117—831no—
1379#117—831no—
1380#117—1661no—
1381#117—1661no—
1382#117—1661no—
1383C2×C4⋊C4—831no—
1384C2×C4⋊C4—831no—
1385C2×C4⋊C4—1661no—
1386C2×C4⋊C4D33211yescharacteristic
1387C2×C22⋊C4—1661no—
1388C2×C22⋊C4—1661no—
1389C2×C22⋊C4—1661no—
1390C2×C22⋊C4—1661no—
1391C2×C22⋊C4—1661no—
1392C2×C22⋊C4—1661no—
1393C2×C22⋊C4D33211yescharacteristic
1394C2×C22⋊C4D33211yescharacteristic
1395C2×C42—1661no—
1396C2×C42C22×D8311yescharacteristic
1397#107—831no—
1398#107—831no—
1399#107—831no—
1400#107—831no—
1401#106—831no—
1402#106—831no—
1403#106—831no—
1404#106—831no—
1405C4⋊C8C22×D8311yescharacteristic
1406C4⋊C8C22×D8311yescharacteristic
1407C4⋊C8C22×D8311yescharacteristic
1408C4⋊C8C22×D8311yescharacteristic
1409#103—831no—
1410#103—831no—
1411#103—831no—
1412#103—831no—
1413#103—831no—
1414#103—831no—
1415#103—831no—
1416#103—831no—
1417#103—831no—
1418#103—831no—
1419#103—831no—
1420#103—831no—
1421#103—831no—
1422#103—831no—
1423#102—831no—
1424#102—831no—
1425#102—831no—
1426#102—831no—
1427#102—831no—
1428#102—831no—
1429#102—831no—
1430#102—831no—
1431#102—831no—
1432#102—831no—
1433#102—831no—
1434#102—831no—
1435#102—831no—
1436#102—831no—
1437#102—831no—
1438#102—831no—
1439#102—831no—
1440#102—831no—
1441C22⋊C8C22×D8311yescharacteristic
1442C22⋊C8C22×D8311yescharacteristic
1443C22⋊C8C22×D8311yescharacteristic
1444C22⋊C8C22×D8311yescharacteristic
1445C22⋊C8C22×D8311yescharacteristic
1446C22⋊C8C22×D8311yescharacteristic
1447C22⋊C8C22×D8311yescharacteristic
1448C22⋊C8C22×D8311yescharacteristic
1449C22⋊C8C22×D8311yescharacteristic
1450C22⋊C8C22×D8311yescharacteristic
1451C22⋊C8C22×D8311yescharacteristic
1452C22⋊C8C22×D8311yescharacteristic
1453#97C22×D8311yescharacteristic
1454#97C22×D8311yescharacteristic
1455#97C22×D8311yescharacteristic
1456#97C22×D8311yescharacteristic
1457C24—1661no—
1458C24—1661no—
1459C24—1661no—
1460C24—1661no—
1461C24C2×D33211yescharacteristic
1462C24C2×D33211yescharacteristic
1463#41—3321no—
1464#41—3321no—
1465#41—3321no—
1466#41—3321no—
1467#41—3321no—
1468#41—3321no—
1469#41—3321no—
1470#41—3321no—
1471#41—3321no—
1472#41—3321no—
1473#41—3321no—
1474#41—3321no—
1475#41—3324no—
1476#41—3324no—
1477#41—3324no—
1478#41—3324no—
1479#41—6642no—
1480#41—1662no—
1481#41—1662no—
1482#41—1662no—
1483#41—1662no—
1484#41—1662no—
1485#41—1662no—
1486C2×Q8—3321no—
1487C2×Q8—3321no—
1488C2×Q8—831no—
1489C2×Q8—831no—
1490C2×Q8—831no—
1491C2×Q8—831no—
1492C2×Q8—1662no—
1493C2×Q8—1662no—
1494C2×Q8—1661no—
1495C2×Q8—1661no—
1496C2×Q8—1661no—
1497C2×D4—42no—
1498C2×D4—3321no—
1499C2×D4—3321no—
1500C2×D4—3321no—
1501C2×D4—3321no—
1502C2×D4—3321no—
1503C2×D4—3321no—
1504C2×D4—3324no—
1505C2×D4—3324no—
1506C2×D4—3324no—
1507C2×D4—3324no—
1508C2×D4—831no—
1509C2×D4—831no—
1510C2×D4—831no—
1511C2×D4—831no—
1512C2×D4—831no—
1513C2×D4—831no—
1514C2×D4—6642no—
1515C2×D4—6642no—
1516C2×D4—1662no—
1517C2×D4—1662no—
1518C2×D4—1661no—
1519C2×D4—1661no—
1520C2×D4—1661no—
1521C2×D4—1661no—
1522C2×D4—1661no—
1523C2×D4—1661no—
1524C2×D4—1661no—
1525C2×D4—1661no—
1526C2×D4—1661no—
1527C2×D4—1661no—
1528C2×D4—1661no—
1529C2×D4—1661no—
1530C2×D4—1661no—
1531C2×D4—1661no—
1532C2×D4—1661no—
1533C2×D4—1661no—
1534C2×D4—1661no—
1535C2×D4—1661no—
1536C2×D4—1661no—
1537C2×D4—1661no—
1538C2×D4—1661no—
1539C2×D4—1661no—
1540C2×D4—1661no—
1541C2×D4—1661no—
1542C2×D4—1661no—
1543C2×D4—1661no—
1544C2×D4—1661no—
1545C2×D4—1661no—
1546C2×D4—1661no—
1547C2×D4—1661no—
1548C2×D4C2×D33211yescharacteristic
1549C2×D4C2×D33211yescharacteristic
1550C2×D4C2×D33211yescharacteristic
1551C2×D4C2×D33211yescharacteristic
1552C22×C4—41no—
1553C22×C4—41no—
1554C22×C4—41no—
1555C22×C4—41no—
1556C22×C4—3324no—
1557C22×C4—3324no—
1558C22×C4—1661no—
1559C22×C4—1661no—
1560C22×C4—1661no—
1561C22×C4—1661no—
1562C22×C4—1661no—
1563C22×C4—1661no—
1564C22×C4—1661no—
1565C22×C4—1661no—
1566C22×C4—1661no—
1567C22×C4—1661no—
1568C22×C4—1661no—
1569C22×C4—1661no—
1570C22×C4—1661no—
1571C22×C4—1661no—
1572C22×C4—1661no—
1573C22×C4—1661no—
1574C22×C4—1661no—
1575C22×C4—1661no—
1576C22×C4C2×D33211yescharacteristic
1577C22×C4C2×D33211yescharacteristic
1578C22×C4C2×D33211yescharacteristic
1579C22×C4C2×D33211yescharacteristic
1580C22×C4C2×D33211yescharacteristic
1581C22×C4C2×D33211yescharacteristic
1582C22×C4C2×D33211yescharacteristic
1583C22×C4C2×D33211yescharacteristic
1584C22×C4C23×D8311yescharacteristic
1585C22×C4C23×D8311yescharacteristic
1586C22×C4C23×D8311yescharacteristic
1587C22×C4C23×D8311yescharacteristic
1588C22×C4C23×D8311yescharacteristic
1589Q16—3321no—
1590Q16—3321no—
1591Q16—1662no—
1592SD16—3321no—
1593SD16—3321no—
1594SD16—3321no—
1595SD16—3321no—
1596SD16—3321no—
1597SD16—3321no—
1598SD16—3321no—
1599SD16—3321no—
1600SD16—1662no—
1601SD16—1662no—
1602SD16—1662no—
1603SD16—1662no—
1604D8—3321no—
1605D8—3321no—
1606D8—3321no—
1607D8—3321no—
1608D8—3321no—
1609D8—3321no—
1610D8—1662no—
1611D8—1662no—
1612D8—1662no—
1613M16—41no—
1614M16—41no—
1615M16—41no—
1616M16—41no—
1617C2×C8—41no—
1618C2×C8—41no—
1619C2×C8—41no—
1620C2×C8—41no—
1621C2×C8C23×D8311yescharacteristic
1622C2×C8C23×D8311yescharacteristic
1623C2×C8C23×D8311yescharacteristic
1624C2×C8C23×D8311yescharacteristic
1625C2×C8C23×D8311yescharacteristic
1626C2×C8C23×D8311yescharacteristic
1627C2×C8C23×D8311yescharacteristic
1628C2×C8C23×D8311yescharacteristic
1629C4⋊C4—831no—
1630C4⋊C4—831no—
1631C4⋊C4—831no—
1632C4⋊C4—831no—
1633C4⋊C4—831no—
1634C4⋊C4—831no—
1635C4⋊C4—1661no—
1636C4⋊C4—1661no—
1637C4⋊C4—1661no—
1638C4⋊C4—1661no—
1639C4⋊C4—1661no—
1640C4⋊C4—1661no—
1641C4⋊C4—1661no—
1642C4⋊C4—1661no—
1643C4⋊C4—1661no—
1644C4⋊C4—1661no—
1645C4⋊C4—1661no—
1646C4⋊C4—1661no—
1647C4⋊C4—1661no—
1648C4⋊C4—1661no—
1649C4⋊C4—1661no—
1650C4⋊C4—1661no—
1651C4⋊C4—1661no—
1652C4⋊C4C2×D33211yescharacteristic
1653C4⋊C4C2×D33211yescharacteristic
1654C4⋊C4C2×D33211yescharacteristic
1655C4⋊C4C2×D33211yescharacteristic
1656C22⋊C4—1661no—
1657C22⋊C4—1661no—
1658C22⋊C4—1661no—
1659C22⋊C4—1661no—
1660C22⋊C4—1661no—
1661C22⋊C4—1661no—
1662C22⋊C4—1661no—
1663C22⋊C4—1661no—
1664C22⋊C4—1661no—
1665C22⋊C4—1661no—
1666C22⋊C4—1661no—
1667C22⋊C4—1661no—
1668C22⋊C4—1661no—
1669C22⋊C4—1661no—
1670C22⋊C4—1661no—
1671C22⋊C4—1661no—
1672C22⋊C4—1661no—
1673C22⋊C4—1661no—
1674C22⋊C4—1661no—
1675C22⋊C4—1661no—
1676C22⋊C4—1661no—
1677C22⋊C4—1661no—
1678C22⋊C4—1661no—
1679C22⋊C4—1661no—
1680C22⋊C4—1661no—
1681C22⋊C4—1661no—
1682C22⋊C4—1661no—
1683C22⋊C4—1661no—
1684C22⋊C4—1661no—
1685C22⋊C4—1661no—
1686C22⋊C4—1661no—
1687C22⋊C4—1661no—
1688C22⋊C4—1661no—
1689C22⋊C4—1661no—
1690C22⋊C4C2×D33211yescharacteristic
1691C22⋊C4C2×D33211yescharacteristic
1692C22⋊C4C2×D33211yescharacteristic
1693C22⋊C4C2×D33211yescharacteristic
1694C22⋊C4C2×D33211yescharacteristic
1695C22⋊C4C2×D33211yescharacteristic
1696C22⋊C4C2×D33211yescharacteristic
1697C22⋊C4C2×D33211yescharacteristic
1698C42—1661no—
1699C42—1661no—
1700C42—1661no—
1701C42—1661no—
1702C42—1661no—
1703C42—1661no—
1704C42C2×D33211yescharacteristic
1705C42C2×D33211yescharacteristic
1706C42C23×D8311yescharacteristic
1707C42C23×D8311yescharacteristic
1708C23—22no—
1709C23—41no—
1710C23—41no—
1711C23—41no—
1712C23—41no—
1713C23—41no—
1714C23—3322no—
1715C23—3322no—
1716C23—3322no—
1717C23—3322no—
1718C23—3322no—
1719C23—3322no—
1720C23—6641no—
1721C23—6641no—
1722C23—6641no—
1723C23—6641no—
1724C23—6641no—
1725C23—6641no—
1726C23—1661no—
1727C23—1661no—
1728C23—1661no—
1729C23—1661no—
1730C23—1661no—
1731C23—1661no—
1732C23C22×D33211yescharacteristic
1733C23C22×D33211yescharacteristic
1734C23C22×D33211yescharacteristic
1735C23C22×D33211yescharacteristic
1736C23C22×D33211yescharacteristic
1737Q8—3322no—
1738Q8—3322no—
1739Q8—832no—
1740Q8—6641no—
1741Q8—1661no—
1742Q8—1661no—
1743Q8—1661no—
1744Q8—1661no—
1745Q8—1661no—
1746Q8—1661no—
1747Q8—1661no—
1748D4—22no—
1749D4—22no—
1750D4—41no—
1751D4—41no—
1752D4—3322no—
1753D4—3322no—
1754D4—3322no—
1755D4—3322no—
1756D4—3322no—
1757D4—3322no—
1758D4—3322no—
1759D4—3322no—
1760D4—3322no—
1761D4—3322no—
1762D4—3322no—
1763D4—3322no—
1764D4—3322no—
1765D4—3322no—
1766D4—3322no—
1767D4—3322no—
1768D4—3322no—
1769D4—832no—
1770D4—6641no—
1771D4—6641no—
1772D4—6641no—
1773D4—6641no—
1774D4—6641no—
1775D4—6641no—
1776D4—6641no—
1777D4—6641no—
1778D4—6641no—
1779D4—6641no—
1780D4—6641no—
1781D4—6641no—
1782D4—1664no—
1783D4—1661no—
1784D4—1661no—
1785D4—1661no—
1786D4—1661no—
1787D4—1661no—
1788D4—1661no—
1789D4—1661no—
1790D4—1661no—
1791D4—1661no—
1792D4—1661no—
1793D4—1661no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—41no—
1805C2×C4—41no—
1806C2×C4—41no—
1807C2×C4—41no—
1808C2×C4—41no—
1809C2×C4—41no—
1810C2×C4—41no—
1811C2×C4—41no—
1812C2×C4—3322no—
1813C2×C4—3322no—
1814C2×C4—3322no—
1815C2×C4—3322no—
1816C2×C4—3322no—
1817C2×C4—3322no—
1818C2×C4—3322no—
1819C2×C4—3322no—
1820C2×C4—3322no—
1821C2×C4—3322no—
1822C2×C4—6641no—
1823C2×C4—6641no—
1824C2×C4—6641no—
1825C2×C4—6641no—
1826C2×C4—6641no—
1827C2×C4—6641no—
1828C2×C4—6641no—
1829C2×C4—1664no—
1830C2×C4—1661no—
1831C2×C4—1661no—
1832C2×C4—1661no—
1833C2×C4—1661no—
1834C2×C4—1661no—
1835C2×C4—1661no—
1836C2×C4—1661no—
1837C2×C4—1661no—
1838C2×C4—1661no—
1839C2×C4—1661no—
1840C2×C4C22×D33211yescharacteristic
1841C2×C4C22×D33211yescharacteristic
1842C2×C4C22×D33211yescharacteristic
1843C2×C4C22×D33211yescharacteristic
1844C2×C4C22×D33211yescharacteristic
1845C2×C4C22×D33211yescharacteristic
1846C2×C4C22×D33211yescharacteristic
1847C2×C4C22×D33211yescharacteristic
1848C2×C4C22×D33211yescharacteristic
1849C2×C4C24×D8311yescharacteristic
1850C8—21no—
1851C8—21no—
1852C8—21no—
1853C8—21no—
1854C8—21no—
1855C8—21no—
1856C8—21no—
1857C8—21no—
1858C22—21no—
1859C22—21no—
1860C22—21no—
1861C22—21no—
1862C22—21no—
1863C22—21no—
1864C22—21no—
1865C22—21no—
1866C22—21no—
1867C22—21no—
1868C22—21no—
1869C22—21no—
1870C22—21no—
1871C22—21no—
1872C22—82no—
1873C22—82no—
1874C22—13282no—
1875C22—13282no—
1876C22—3321no—
1877C22—3321no—
1878C22—3321no—
1879C22—3321no—
1880C22—3321no—
1881C22—3321no—
1882C22—3321no—
1883C22—3321no—
1884C22—3321no—
1885C22—3321no—
1886C22—3321no—
1887C22—3321no—
1888C22—3321no—
1889C22—3321no—
1890C22—3321no—
1891C22—3321no—
1892C22—3321no—
1893C22—6644no—
1894C22—6644no—
1895C22—1662no—
1896C22#1912850112yes—
1897C22C23×D33211yescharacteristic
1898C4—21no—
1899C4—21no—
1900C4—21no—
1901C4—21no—
1902C4—21no—
1903C4—21no—
1904C4—21no—
1905C4—21no—
1906C4—21no—
1907C4—3321no—
1908C4—3321no—
1909C4—3321no—
1910C4—3321no—
1911C4—3321no—
1912C4—3321no—
1913C4—3321no—
1914C4—3321no—
1915C4—3321no—
1916C4—1662no—
1917C4H(5,𝔽2)×D8311yescharacteristic
1918C4H(5,𝔽2)×D8311yescharacteristic
1919C2—22no—
1920C2—41no—
1921C2—41no—
1922C2—41no—
1923C2—41no—
1924C2—3322no—
1925C2—6641no—
1926C2—6641no—
1927C2—6641no—
1928C2—6641no—
1929C2—6641no—
1930C2#2492109911yescharacteristic
1931C2C2×#1912850111yescharacteristic
1932C2#2492224411yescharacteristic
subgroupG/H
centerC22C23×D332
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC83×#2973C2
socleC22×C83C23×D4
hypercenter#2973D83
hypocenterC83#61579
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ #2973

Complements

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

NH ≅ G/Ntype
1. #24921495C2semidirect
2. D4×#13050590C2semidirect
3. #24919651C2semidirect
4. #24919636C2semidirect
5. #24919621C2semidirect
6. #24919606C2semidirect
7. #24919576C2semidirect
8. #24919546C2semidirect
9. #24919471C2semidirect
10. #24919441C2semidirect
11. #24919053C2semidirect
12. #24919008C2semidirect
13. #24919008C2semidirect
14. #24918993C2semidirect
15. #24918978C2semidirect
16. #24918963C2semidirect
17. #24918948C2semidirect
18. #24918948C2semidirect
19. #24918502C2semidirect
20. #24918460C2semidirect
21. #24918305C2semidirect
22. #24918279C2semidirect
23. #24918256C2semidirect
24. #24918230C2semidirect
25. #24917615C2semidirect
26. #24917574C2semidirect
27. #24916717C2semidirect
28. #24916708C2semidirect
29. #24916685C2semidirect
30. C2×#19127848C2semidirect
31. C83×#2973C2semidirect
32. C22×#13050590C22semidirect
33. C22×#13050590C22semidirect
34. C2×#14581825C22semidirect
35. C2×#14581820C22semidirect
36. C2×#14581820C22semidirect
37. C2×#14581820C22semidirect
38. C2×#14581814C22semidirect
39. C2×#14581814C22semidirect
40. C22×#13050579C22semidirect
41. C22×D664C22semidirect
42. #19128416C22semidirect
43. #19128408C22semidirect
46. #19128397C22semidirect
47. #19128372C22semidirect
48. #19128372C22semidirect
49. D4×Dic166C22semidirect
51. #19128360C22semidirect
52. #19128356C22semidirect
56. #19128347C22semidirect
57. #19128347C22semidirect
62. D4×D332C22semidirect
63. D4×D332C22semidirect
69. #19128251C22semidirect
70. #19128251C22semidirect
72. #19128235C22semidirect
73. #19128212C22semidirect
74. #19128212C22semidirect
75. #19128212C22semidirect
76. #19128212C22semidirect
79. C2×#14581766C22semidirect
80. C2×#14581766C22semidirect
82. C4×#13050590C22semidirect
84. #19128095C22semidirect
85. #19128090C22semidirect
86. #19128090C22semidirect
87. #19128090C22semidirect
88. #19128070C22semidirect
89. #19128066C22semidirect
90. #19128061C22semidirect
91. #19128061C22semidirect
92. #19128043C22semidirect
93. #19128043C22semidirect
94. #19128043C22semidirect
95. #19128037C22semidirect
96. #19128032C22semidirect
97. #19128026C22semidirect
98. #19128026C22semidirect
99. #19128026C22semidirect
100. #19128026C22semidirect
101. #19128026C22semidirect
102. #19128020C22semidirect
103. #19128015C22semidirect
104. #19128009C22semidirect
105. #19128002C22semidirect
106. #19127987C22semidirect
107. #19127982C22semidirect
108. #19127959C22semidirect
109. #19127954C22semidirect
110. #19127954C22semidirect
111. #19127954C22semidirect
112. #19127947C22semidirect
113. #19127947C22semidirect
114. #19127947C22semidirect
115. #19127947C22semidirect
116. #19127942C22semidirect
117. #19127937C22semidirect
118. #19127937C22semidirect
119. #19127937C22semidirect
120. #19127930C22semidirect
121. #19127930C22semidirect
122. #19127930C22semidirect
123. #19127930C22semidirect
124. #19127924C22semidirect
125. #19127924C22semidirect
126. #19127924C22semidirect
127. #19127917C22semidirect
128. #19127917C22semidirect
129. #19127917C22semidirect
130. #19127907C22semidirect
131. #19127907C22semidirect
132. #19127902C22semidirect
133. #19127897C22semidirect
134. #19127897C22semidirect
135. #19127897C22semidirect
136. #19127865C22semidirect
137. #19127865C22semidirect
138. #19127865C22semidirect
139. #19127865C22semidirect
140. #19127865C22semidirect
141. #19127865C22semidirect
142. #19127865C22semidirect
143. #19127859C22semidirect
144. #19127854C22semidirect
145. #19127854C22semidirect
146. #19127854C22semidirect
148. #19127848C22semidirect
149. #19127848C22semidirect
150. #19127848C22semidirect
151. #19127848C22semidirect
152. #19127848C22semidirect
153. #19127848C22semidirect
154. #19127848C22semidirect
155. #19127848C22semidirect
156. #19127848C22semidirect
157. #19127848C22semidirect
158. #19127848C22semidirect
159. #19127848C22semidirect
160. #19127848C22semidirect
161. #19127848C22semidirect
162. #19127848C22semidirect
163. #19127848C22semidirect
164. #19127842C22semidirect
165. #19127842C22semidirect
166. #19127842C22semidirect
167. #19127837C22semidirect
168. #19127837C22semidirect
169. #19127837C22semidirect
170. #19127837C22semidirect
171. #19127837C22semidirect
172. #19127814C22semidirect
173. #19127814C22semidirect
174. #19127814C22semidirect
175. #19127809C22semidirect
176. #19127803C22semidirect
177. #19127803C22semidirect
178. #19127803C22semidirect
179. #19127803C22semidirect
180. #19127711C22semidirect
181. #19127707C22semidirect
182. #19127703C22semidirect
183. #19127703C22semidirect
184. #19127698C22semidirect
185. #19127698C22semidirect
186. C2×#14581717C22semidirect
187. C2×#14581714C22semidirect
189. #435×C83C22semidirect
190. #435×C83C22semidirect
191. #435×C83C22semidirect
192. #435×C83C22semidirect
193. #435×C83C22semidirect
194. #435×C83C22semidirect
195. #435×C83C22semidirect
196. #435×C83C22semidirect
197. #432×C83C22semidirect
198. #432×C83C22semidirect
199. #407×C83C22semidirect
200. #407×C83C22semidirect
201. C2×C22⋊C8×C83C22semidirect
202. C2×C22⋊C8×C83C22semidirect
997. #2973D83semidirect
998. C83#61579semidirect
1148. #435C2×D83semidirect
1149. #435C2×D83semidirect
1150. #435C2×D83semidirect
1151. #435C2×D83semidirect
1152. #435C2×D83semidirect
1153. #435C2×D83semidirect
1154. #435C2×D83semidirect
1155. #435C2×D83semidirect
1156. #432C2×D83semidirect
1157. #432C2×D83semidirect
1166. #407C2×D83semidirect
1167. #407C2×D83semidirect
1168. C2×C22⋊C8C2×D83semidirect
1169. C2×C22⋊C8C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249214952
D4×#130505902
#249196512
#249196362
#249196212
#249196062
#249195762
#249195462
#249194712
#249194412
#249190532
#249190082
#249189932
#249189782
#249189632
#249189482
#249185022
#249184602
#249183052
#249182792
#249182562
#249182302
#249176152
#249175742
#249167172
#249167082
#249166852
C2×#191278482
C83×#29732
#6157983