Finite Group Databasebeta

← #36287316

Subgroups — #36287316

Order 21248.

1946 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24921502C211yesmaximal, characteristic, complemented
2#24921493C211yesmaximal, characteristic, complemented
3#24920478C211yesmaximal, characteristic, complemented
4#24920365C211yesmaximal, characteristic, complemented
5#24920115C211yesmaximal, characteristic, complemented
6#24920093C211yesmaximal, characteristic, complemented
7#24920051C211yesmaximal, characteristic, complemented
8#24919955C211yesmaximal, characteristic, complemented
9#24919951C211yesmaximal, characteristic, complemented
10#24919384C211yesmaximal, characteristic, complemented
11#24919310C211yesmaximal, characteristic, complemented
12#24919306C211yesmaximal, characteristic, complemented
13#24919290C211yesmaximal, characteristic, complemented
14#24919285C211yesmaximal, characteristic, complemented
15#24919274C211yesmaximal, characteristic, complemented
16#24919056C211yesmaximal, characteristic, complemented
17#24918946C211yesmaximal, characteristic, complemented
18#24918938C211yesmaximal, characteristic, complemented
19#24918148C211yesmaximal, characteristic, complemented
20#24918144C211yesmaximal, characteristic, complemented
21#24918019C211yesmaximal, characteristic, complemented
22#24917658C211yesmaximal, characteristic, complemented
23#24917653C211yesmaximal, characteristic, complemented
24#24917649C211yesmaximal, characteristic, complemented
25#24917560C211yesmaximal, characteristic, complemented
26#24917552C211yesmaximal, characteristic, complemented
27#24916436C211yesmaximal, characteristic, complemented
28#24916292C211yesmaximal, characteristic, complemented
29#24916291C211yesmaximal, characteristic, complemented
30C4×D8×D83C211yesmaximal, characteristic, complemented
31C83×#3119C211yesmaximal, characteristic, complemented
32C2×#14581817C2211yescharacteristic
33C2×#14581816C2211yescharacteristic
34C2×D8×D83C2211yescharacteristic
35#19128423C2211yescharacteristic, complemented
36#19128415C2211yescharacteristic, complemented
37#19128411C2211yescharacteristic, complemented
38#19128407C2211yescharacteristic, complemented
39#19128406C2211yescharacteristic, complemented
40#19128404C2211yescharacteristic
41#19128398C2211yescharacteristic
42#19128396—21no—
43#19128384—21no—
44#19128380—21no—
45#19128375—21no—
46#19128371C2211yescharacteristic, complemented
47D4×Dic166C2211yescharacteristic, complemented
48#19128360—21no—
49#19128352C2211yescharacteristic, complemented
50#19128350C2211yescharacteristic, complemented
51#19128348—21no—
52#19128346C2211yescharacteristic, complemented
53#19128343—21no—
54#19128340—21no—
55#19128339C2211yescharacteristic, complemented
56#19128336C2211yescharacteristic
57#19128335C2211yescharacteristic
58#19128335C2211yescharacteristic, complemented
59#19128323C2211yescharacteristic, complemented
60#19128322C2211yescharacteristic, complemented
61#19128302C2211yescharacteristic, complemented
62#19128298—21no—
63#19128293—21no—
64#19128287—21no—
65#19128283—21no—
66#19128255C2211yescharacteristic, complemented
67#19128248C2211yescharacteristic
68#19128229C2211yescharacteristic
69#19128210—21no—
70#19128209—21no—
71C2×#14581770—21no—
72#121×D83—21no—
73#19128180C2211yescharacteristic, complemented
74#19128175C2211yescharacteristic, complemented
75#19128173C2211yescharacteristic, complemented
76C4×D4×D83C2211yescharacteristic
77C4×D4×D83C2211yescharacteristic, complemented
78#19128111C2211yescharacteristic, complemented
79#19128109C2211yescharacteristic, complemented
80#19128098C2211yescharacteristic, complemented
81#19128088C2211yescharacteristic, complemented
82#19128087C2211yescharacteristic, complemented
83#19128072C2211yescharacteristic, complemented
84#19128058C2211yescharacteristic, complemented
85#19128057C2211yescharacteristic, complemented
86#19128050C2211yescharacteristic, complemented
87#19128047C2211yescharacteristic, complemented
88#19128046C2211yescharacteristic, complemented
89#19128046C2211yescharacteristic, complemented
90#19128043C2211yescharacteristic, complemented
91#19128041C2211yescharacteristic, complemented
92#19128038C2211yescharacteristic, complemented
93#19128035C2211yescharacteristic, complemented
94#19128027C2211yescharacteristic, complemented
95#19128026C2211yescharacteristic, complemented
96#19128021C2211yescharacteristic, complemented
97#19128018C2211yescharacteristic, complemented
98#19128018C2211yescharacteristic, complemented
99#19128016C2211yescharacteristic, complemented
100#19128007C2211yescharacteristic, complemented
101#19128003C2211yescharacteristic, complemented
102#19127992C2211yescharacteristic, complemented
103#19127990C2211yescharacteristic, complemented
104#19127990C2211yescharacteristic, complemented
105#19127989C2211yescharacteristic, complemented
106#19127982C2211yescharacteristic, complemented
107#19127980C2211yescharacteristic, complemented
108#19127979C2211yescharacteristic, complemented
109#19127979C2211yescharacteristic, complemented
110#19127953C2211yescharacteristic, complemented
111#19127952C2211yescharacteristic, complemented
112#19127950C2211yescharacteristic, complemented
113#19127945C2211yescharacteristic, complemented
114#19127938C2211yescharacteristic, complemented
115#19127935C2211yescharacteristic, complemented
116#19127933C2211yescharacteristic, complemented
117#19127931C2211yescharacteristic, complemented
118#19127929C2211yescharacteristic, complemented
119#19127928C2211yescharacteristic, complemented
120#19127927C2211yescharacteristic, complemented
121#19127927C2211yescharacteristic, complemented
122#19127919C2211yescharacteristic
123#19127918C2211yescharacteristic, complemented
124#19127917C2211yescharacteristic
125#19127917C2211yescharacteristic, complemented
126#19127905C2211yescharacteristic, complemented
127#19127904C2211yescharacteristic, complemented
128#19127900C2211yescharacteristic, complemented
129#19127895C2211yescharacteristic, complemented
130#19127894C2211yescharacteristic, complemented
131#19127894C2211yescharacteristic, complemented
132#19127854C2211yescharacteristic, complemented
133#19127853C2211yescharacteristic
134#19127850C2211yescharacteristic
135#19127850C2211yescharacteristic, complemented
136#19127847C2211yescharacteristic, complemented
137#19127843C2211yescharacteristic, complemented
138#19127837C2211yescharacteristic
139#19127836C2211yescharacteristic
140#19127836C2211yescharacteristic, complemented
141#19127833C2211yescharacteristic, complemented
142#19127830C2211yescharacteristic, complemented
143#19127825C2211yescharacteristic, complemented
144#19127814C2211yescharacteristic, complemented
145#19127811C2211yescharacteristic
146#19127811C2211yescharacteristic, complemented
147#19127811C2211yescharacteristic, complemented
148#19127810C2211yescharacteristic
149#19127803C2211yescharacteristic, complemented
150#19127801C2211yescharacteristic, complemented
151#19127799C2211yescharacteristic, complemented
152#19127799C2211yescharacteristic, complemented
153#19127798C2211yescharacteristic, complemented
154C4×#13050579C2211yescharacteristic, complemented
155C4×#13050577C2211yescharacteristic, complemented
156C4×#13050577C2211yescharacteristic, complemented
157#19127788C2211yescharacteristic, complemented
158C4×#13050578C2211yescharacteristic, complemented
159C4×D664C2211yescharacteristic
160D8×Dic83C2211yescharacteristic, complemented
161D8×Dic83C2211yescharacteristic, complemented
162#19127783C2211yescharacteristic
163C4×#13050575C2211yescharacteristic
164C4×#13050575C2211yescharacteristic, complemented
165C4×#13050575C2211yescharacteristic, complemented
166#19127781C2211yescharacteristic
167#19127781C2211yescharacteristic, complemented
168#19127776C2211yescharacteristic, complemented
169#19127775C2211yescharacteristic, complemented
170#19127771C2211yescharacteristic, complemented
171#19127766C2211yescharacteristic, complemented
172(C22⋊D83)⋊C8C2211yescharacteristic, complemented
173(C22⋊D83)⋊C8C2211yescharacteristic, complemented
174#19127760C2211yescharacteristic, complemented
175#19127756C2211yescharacteristic, complemented
176#19127741C2211yescharacteristic, complemented
177#19127740C2211yescharacteristic, complemented
178#107×D83C2211yescharacteristic, complemented
179#19127697C2211yescharacteristic, complemented
180#19127694C2211yescharacteristic, complemented
181C2×#14581712C2211yescharacteristic, complemented
182#102×D83C2211yescharacteristic
183#102×D83C2211yescharacteristic, complemented
184#102×D83C2211yescharacteristic, complemented
185#19127658C2211yescharacteristic, complemented
186#19127657C2211yescharacteristic, complemented
187C4×C8×D83C2211yescharacteristic, complemented
188#540×C83C2211yescharacteristic, complemented
189#520×C83C2211yescharacteristic, complemented
190#481×C83C2211yescharacteristic, complemented
191#480×C83C2211yescharacteristic, complemented
192#479×C83C2211yescharacteristic, complemented
193#478×C83C2211yescharacteristic, complemented
194#460×C83C2211yescharacteristic, complemented
195#459×C83C2211yescharacteristic, complemented
196#449×C83C2211yescharacteristic, complemented
197#449×C83C2211yescharacteristic, complemented
198#442×C83C2211yescharacteristic, complemented
199#440×C83C2211yescharacteristic, complemented
200C4×SD16×C83C2211yescharacteristic, complemented
201C4×D8×C83C2211yescharacteristic, complemented
202#433×C83C2211yescharacteristic, complemented
203C2×#13050590—21no—
204C2×#13050590—21no—
205C2×#13050589—21no—
206C2×#13050589C2311yescharacteristic
207C22×Dic166—21no—
208C22×D332C2311yescharacteristic
209C2×D4×D83—21no—
210C2×D4×D83—21no—
211C2×D4×D83—21no—
212C2×D4×D83C2311yescharacteristic
213C2×D4×D83C2311yescharacteristic
214C2×D4×D83C2311yescharacteristic
215C22×C4×D83—21no—
216C22×C4×D83—21no—
217#14581817—24no—
218#14581816—24no—
219C2×#13050579C2311yescharacteristic
220C2×#13050579C2311yescharacteristic
221C2×#13050578C2311yescharacteristic
222C2×#13050578C2311yescharacteristic
223C2×#13050577C2311yescharacteristic
224C2×#13050577C2311yescharacteristic
225C2×D664C2311yescharacteristic
226C2×D664C2311yescharacteristic
227C2×#13050575C2311yescharacteristic
228C2×#13050575C2311yescharacteristic
229C2×#13050575C2311yescharacteristic
230C2×#13050575C2311yescharacteristic
231D8×D83—24no—
232C2×#13050574C2311yescharacteristic
233C2×#13050573C2311yescharacteristic
234C22×C83⋊C8C2311yescharacteristic
235C2×C8×D83C2311yescharacteristic
236C2×C8×D83C2311yescharacteristic
237C2×C8×D83C2311yescharacteristic
238#14581792C2311yescharacteristic
239#14581791C2311yescharacteristic
240#14581791C2311yescharacteristic
241#14581791C2311yescharacteristic
242#14581790C2311yescharacteristic
243#14581788C2311yescharacteristic
244#14581788C2311yescharacteristic
245#14581787—21no—
246#14581787—21no—
247#14581787—21no—
248#14581787D411yescharacteristic
249#14581786—21no—
250#14581786—21no—
251#14581785—21no—
252#14581785D411yescharacteristic
253#14581784—21no—
254#14581783C2311yescharacteristic
255#14581782—21no—
256#14581782—21no—
257#14581782D411yescharacteristic
258#14581781C2311yescharacteristic
259#14581780—21no—
260#14581780C2311yescharacteristic
261#14581779—21no—
262#14581778—21no—
263#14581778—21no—
264#14581778—21no—
265#14581778D411yescharacteristic
266#14581777—21no—
267#14581777—21no—
268#14581777—21no—
269#14581777D411yescharacteristic
270#14581776—21no—
271#14581775—21no—
272#14581775—21no—
273#14581775—21no—
274#14581775—21no—
275#14581774—21no—
276#14581774—21no—
277#14581774D411yescharacteristic
278#14581773—21no—
279#14581773—21no—
280#14581772—21no—
281#14581772C2311yescharacteristic
282#14581771—21no—
283#14581771—21no—
284#14581771C2311yescharacteristic
285#14581770—21no—
286#14581770—21no—
287#14581770—21no—
288#14581770—21no—
289#14581770—21no—
290#14581770—21no—
291#14581770—21no—
292#14581770—21no—
293#14581770—21no—
294#14581770—21no—
295#14581770D411yescharacteristic
296#14581769—21no—
297#14581769—21no—
298#14581768C2311yescharacteristic
299#14581768C2311yescharacteristic
300#14581767—21no—
301#14581767C2311yescharacteristic
302#14581767C2311yescharacteristic
303#14581767C2311yescharacteristic
304#14581766—21no—
305#14581766—21no—
306#14581766C2311yescharacteristic
307#14581765—21no—
308#14581765—21no—
309#14581765—21no—
310#14581765—21no—
311#14581765D411yescharacteristic
312#14581764—21no—
313#14581764—21no—
314#14581764—21no—
315#14581764—21no—
316#14581764—21no—
317#14581763—21no—
318#14581763—21no—
319#14581763—21no—
320#14581763C2311yescharacteristic
321#14581763C2311yescharacteristic
322#14581762—21no—
323#14581762—21no—
324#14581762—21no—
325#14581760—21no—
326#14581760—21no—
327#14581760—21no—
328#14581760—21no—
329#14581760—21no—
330C4×Dic166—21no—
331C4×Dic166C2311yescharacteristic
332C4×Dic166C2311yescharacteristic
333#14581757C2311yescharacteristic
334C4×D332—21no—
335C4×D332C2311yescharacteristic
336C4×D332C2311yescharacteristic
337C4×D332C2311yescharacteristic
338C4×D332C2311yescharacteristic
339C4×D332C2311yescharacteristic
340C4×D332C2311yescharacteristic
341D4×Dic83C2311yescharacteristic
342D4×Dic83C2311yescharacteristic
343D4×Dic83C2311yescharacteristic
344D4×Dic83C2311yescharacteristic
345#14581754—21no—
346#14581754—21no—
347#14581754—21no—
348#14581754C2311yescharacteristic
349#14581754C2311yescharacteristic
350#14581754C2311yescharacteristic
351C4×C22⋊D83—21no—
352C4×C22⋊D83—21no—
353C4×C22⋊D83—21no—
354C4×C22⋊D83—21no—
355C4×C22⋊D83—21no—
356C4×C22⋊D83—21no—
357C4×C22⋊D83C2311yescharacteristic
358C4×C22⋊D83C2311yescharacteristic
359(C22⋊D83)⋊C4—21no—
360(C22⋊D83)⋊C4—21no—
361(C22⋊D83)⋊C4—21no—
362(C22⋊D83)⋊C4—21no—
363(C22⋊D83)⋊C4—21no—
364#14581751C2311yescharacteristic
365#14581750C2311yescharacteristic
366#14581749—21no—
367#14581749—21no—
368#14581749C2311yescharacteristic
369#14581748—21no—
370#14581748—21no—
371C2×Dic83⋊C4—21no—
372C2×Dic83⋊C4—21no—
373C4⋊C4×D83—21no—
374C4⋊C4×D83C2311yescharacteristic
375C4⋊C4×D83C2311yescharacteristic
376C4⋊C4×D83C2311yescharacteristic
377C2×(C2×D83)⋊C4—21no—
378C2×(C2×D83)⋊C4—21no—
379C2×(C2×D83)⋊C4—21no—
380C22⋊C4×D83—21no—
381C22⋊C4×D83—21no—
382C22⋊C4×D83—21no—
383C22⋊C4×D83—21no—
384C22⋊C4×D83—21no—
385C42×D83C2311yescharacteristic
386#14581726C2311yescharacteristic
387#14581726C2311yescharacteristic
388#14581725C2311yescharacteristic
389#14581725C2311yescharacteristic
390#14581725C2311yescharacteristic
391#14581725C2311yescharacteristic
392#14581724C2311yescharacteristic
393#14581724C2311yescharacteristic
394#14581723C2311yescharacteristic
395#14581723C2311yescharacteristic
396#14581723C2311yescharacteristic
397#14581723C2311yescharacteristic
398Dic83⋊C8C2311yescharacteristic
399Dic83⋊C8C2311yescharacteristic
400Dic83⋊C8C2311yescharacteristic
401Dic83⋊C8C2311yescharacteristic
402#14581717C2311yescharacteristic
403#14581717C2311yescharacteristic
404#14581716C2311yescharacteristic
405#14581716C2311yescharacteristic
406#14581715C2311yescharacteristic
407#14581715C2311yescharacteristic
408#14581714C2311yescharacteristic
409#14581714C2311yescharacteristic
410#14581714C2311yescharacteristic
411#14581714C2311yescharacteristic
412#14581714C2311yescharacteristic
413#14581714C2311yescharacteristic
414#14581713C2311yescharacteristic
415#14581713C2311yescharacteristic
416#14581713C2311yescharacteristic
417#14581713C2311yescharacteristic
418#14581713C2311yescharacteristic
419#14581713C2311yescharacteristic
420#14581712C2311yescharacteristic
421#14581712C2311yescharacteristic
422#14581712C2311yescharacteristic
423#14581712C2311yescharacteristic
424#14581712C2311yescharacteristic
425#14581712C2311yescharacteristic
426(C2×D83)⋊C8C2311yescharacteristic
427(C2×D83)⋊C8C2311yescharacteristic
428(C2×D83)⋊C8C2311yescharacteristic
429(C2×D83)⋊C8C2311yescharacteristic
430#14581703C2311yescharacteristic
431#14581703C2311yescharacteristic
432#14581702C2311yescharacteristic
433C4×C83⋊C8C2311yescharacteristic
434C4×C83⋊C8C2311yescharacteristic
435C8×Dic83C2311yescharacteristic
436C8×Dic83C2311yescharacteristic
437C8×Dic83C2311yescharacteristic
438C2×#41×C83C2311yescharacteristic
439C2×SD16×C83C2311yescharacteristic
440C2×SD16×C83C2311yescharacteristic
441C2×D8×C83C2311yescharacteristic
442C2×D8×C83C2311yescharacteristic
443#127×C83C2311yescharacteristic
444#125×C83C2311yescharacteristic
445#123×C83—21no—
446#123×C83—21no—
447#121×C83—21no—
448#121×C83—21no—
449#121×C83C2311yescharacteristic
450#121×C83C2311yescharacteristic
451C4×Q8×C83C2311yescharacteristic
452C4×Q8×C83C2311yescharacteristic
453C4×D4×C83—21no—
454C4×D4×C83—21no—
455C4×D4×C83C2311yescharacteristic
456C4×D4×C83C2311yescharacteristic
457C4×D4×C83C2311yescharacteristic
458C4×D4×C83C2311yescharacteristic
459#117×C83—21no—
460#117×C83C2311yescharacteristic
461C2×C4⋊C4×C83—21no—
462C2×C4⋊C4×C83C2311yescharacteristic
463#107×C83C2311yescharacteristic
464#107×C83C2311yescharacteristic
465#106×C83C2311yescharacteristic
466#106×C83C2311yescharacteristic
467C4⋊C8×C83C2311yescharacteristic
468C4⋊C8×C83C2311yescharacteristic
469#103×C83C2311yescharacteristic
470#103×C83C2311yescharacteristic
471#102×C83C2311yescharacteristic
472#102×C83C2311yescharacteristic
473#102×C83C2311yescharacteristic
474#102×C83C2311yescharacteristic
475#102×C83C2311yescharacteristic
476#102×C83C2311yescharacteristic
477C22⋊C8×C83C2311yescharacteristic
478C22⋊C8×C83C2311yescharacteristic
479#97×C83C2311yescharacteristic
480C4×C8×C83C2311yescharacteristic
481C23×D83—21no—
482C23×D83—21no—
483C23×D83—21no—
484C23×D83—21no—
485#13050590—82no—
486#13050590—82no—
487#13050589—22no—
488#13050589—41no—
489#13050589—82no—
490C2×Dic166—21no—
491C2×Dic166—21no—
492C2×Dic166—21no—
493C2×Dic166—21no—
494C2×Dic166—82no—
495C2×Dic166C2×D411yescharacteristic
496C2×Dic166C2411yescharacteristic
497C2×D332—22no—
498C2×D332—21no—
499C2×D332—21no—
500C2×D332—21no—
501C2×D332—21no—
502C2×D332—41no—
503C2×D332C2×D411yescharacteristic
504C2×D332C2411yescharacteristic
505C2×D332C2411yescharacteristic
506C2×D332C2411yescharacteristic
507C2×C22⋊D83—21no—
508C2×C22⋊D83—21no—
509C2×C22⋊D83—21no—
510C2×C22⋊D83—21no—
511C2×C22⋊D83—21no—
512C2×C22⋊D83—21no—
513C2×C22⋊D83—21no—
514C2×C22⋊D83—21no—
515C2×C22⋊D83—21no—
516C2×C22⋊D83—21no—
517C2×C22⋊D83—21no—
518C2×C22⋊D83C2×D411yescharacteristic
519C2×C22⋊D83C2×D411yescharacteristic
520D4×D83—22no—
521D4×D83—22no—
522D4×D83—22no—
523D4×D83—41no—
524D4×D83—41no—
525D4×D83—41no—
526D4×D83—82no—
527D4×D83—82no—
528D4×D83—82no—
529C22×Dic83—21no—
530C22×Dic83—21no—
531C22×Dic83—21no—
532C22×Dic83—21no—
533C22×Dic83—21no—
534C2×C4×D83—21no—
535C2×C4×D83—21no—
536C2×C4×D83—21no—
537C2×C4×D83—21no—
538C2×C4×D83—21no—
539C2×C4×D83—21no—
540C2×C4×D83—21no—
541C2×C4×D83—21no—
542C2×C4×D83—21no—
543C2×C4×D83—21no—
544C2×C4×D83—21no—
545C2×C4×D83—82no—
546C2×C4×D83—82no—
547C2×C4×D83C2×D411yescharacteristic
548C2×C4×D83C2×D411yescharacteristic
549C2×C4×D83C2411yescharacteristic
550C2×C4×D83C2411yescharacteristic
551#13050579—22no—
552#13050579—41no—
553#13050578—22no—
554#13050578—41no—
555#13050577—22no—
556#13050577—22no—
557D664—22no—
558D664—41no—
559#13050575—22no—
560#13050575—22no—
561#13050575—41no—
562#13050575#4114yescomplemented
563#13050574—22no—
564#13050573—22no—
565C2×C83⋊C8—41no—
566C2×C83⋊C8C2411yescharacteristic
567C2×C83⋊C8C2411yescharacteristic
568C2×C83⋊C8C2411yescharacteristic
569C2×C83⋊C8C2411yescharacteristic
570C8×D83—22no—
571C8×D83—41no—
572C8×D83—41no—
573C4⋊Dic83—21no—
574C4⋊Dic83—21no—
575C4⋊Dic83—21no—
576C4⋊Dic83C2×D411yescharacteristic
577C4⋊Dic83C2×D411yescharacteristic
578C4⋊Dic83C2411yescharacteristic
579C4⋊Dic83C2411yescharacteristic
580C4⋊Dic83C2411yescharacteristic
581C4⋊Dic83C2411yescharacteristic
582Dic83⋊C4—21no—
583Dic83⋊C4—21no—
584Dic83⋊C4—21no—
585Dic83⋊C4—21no—
586Dic83⋊C4—21no—
587Dic83⋊C4—21no—
588Dic83⋊C4—21no—
589Dic83⋊C4—21no—
590Dic83⋊C4—21no—
591Dic83⋊C4—21no—
592Dic83⋊C4—21no—
593Dic83⋊C4—21no—
594Dic83⋊C4—21no—
595Dic83⋊C4—21no—
596Dic83⋊C4C2×D411yescharacteristic
597Dic83⋊C4C2×D411yescharacteristic
598Dic83⋊C4C2×D411yescharacteristic
599Dic83⋊C4C2×D411yescharacteristic
600Dic83⋊C4C2×D411yescharacteristic
601Dic83⋊C4C2×D411yescharacteristic
602C22⋊Dic83—21no—
603C22⋊Dic83—21no—
604C22⋊Dic83—21no—
605C22⋊Dic83—21no—
606C22⋊Dic83—21no—
607C22⋊Dic83—21no—
608C22⋊Dic83—21no—
609C22⋊Dic83—21no—
610C22⋊Dic83C2×D411yescharacteristic
611C22⋊Dic83C2×D411yescharacteristic
612(C2×D83)⋊C4—21no—
613(C2×D83)⋊C4—21no—
614(C2×D83)⋊C4—21no—
615(C2×D83)⋊C4—21no—
616(C2×D83)⋊C4—21no—
617(C2×D83)⋊C4—21no—
618(C2×D83)⋊C4—21no—
619(C2×D83)⋊C4—21no—
620(C2×D83)⋊C4—21no—
621(C2×D83)⋊C4—21no—
622(C2×D83)⋊C4—21no—
623(C2×D83)⋊C4—21no—
624(C2×D83)⋊C4—21no—
625(C2×D83)⋊C4—21no—
626(C2×D83)⋊C4—21no—
627(C2×D83)⋊C4—21no—
628(C2×D83)⋊C4—21no—
629(C2×D83)⋊C4—21no—
630(C2×D83)⋊C4—21no—
631(C2×D83)⋊C4—21no—
632(C2×D83)⋊C4C2×D411yescharacteristic
633(C2×D83)⋊C4C2×D411yescharacteristic
634(C2×D83)⋊C4C2×D411yescharacteristic
635(C2×D83)⋊C4C2×D411yescharacteristic
636(C2×D83)⋊C4C2×D411yescharacteristic
637(C2×D83)⋊C4C2×D411yescharacteristic
638C4×Dic83—21no—
639C4×Dic83—21no—
640C4×Dic83—21no—
641C4×Dic83—21no—
642C4×Dic83C2×D411yescharacteristic
643C4×Dic83C2×D411yescharacteristic
644C4×Dic83C2411yescharacteristic
645C4×Dic83C2411yescharacteristic
646#41×C83—22no—
647#41×C83—41no—
648C2×Q8×C83C2411yescharacteristic
649C2×D4×C83—21no—
650C2×D4×C83—21no—
651C2×D4×C83—21no—
652C2×D4×C83—21no—
653C2×D4×C83—21no—
654C2×D4×C83C2411yescharacteristic
655C2×D4×C83C2411yescharacteristic
656C2×D4×C83C2411yescharacteristic
657C22×C4×C83—21no—
658C22×C4×C83—21no—
659C22×C4×C83—21no—
660C22×C4×C83—21no—
661C22×C4×C83—21no—
662C22×C4×C83—21no—
663C22×C4×C83C2411yescharacteristic
664SD16×C83—41no—
665SD16×C83—41no—
666D8×C83—22no—
667D8×C83—22no—
668C2×C8×C83C2411yescharacteristic
669C2×C8×C83C2411yescharacteristic
670C2×C8×C83C2411yescharacteristic
671C2×C8×C83C2411yescharacteristic
672C4⋊C4×C83—21no—
673C4⋊C4×C83—21no—
674C4⋊C4×C83—21no—
675C4⋊C4×C83—21no—
676C4⋊C4×C83—21no—
677C4⋊C4×C83C2×D411yescharacteristic
678C4⋊C4×C83C2×D411yescharacteristic
679C4⋊C4×C83C2411yescharacteristic
680C4⋊C4×C83C2411yescharacteristic
681C4⋊C4×C83C2411yescharacteristic
682C4⋊C4×C83C2411yescharacteristic
683C22⋊C4×C83—21no—
684C22⋊C4×C83—21no—
685C22⋊C4×C83—21no—
686C22⋊C4×C83—21no—
687C22⋊C4×C83—21no—
688C22⋊C4×C83—21no—
689C22⋊C4×C83C2×D411yescharacteristic
690C22⋊C4×C83C2×D411yescharacteristic
691C42×C83—21no—
692C42×C83—21no—
693C42×C83C2411yescharacteristic
694C42×C83C2411yescharacteristic
695C23×C83—21no—
696C23×C83—21no—
697C23×C83—21no—
698C23×C83C22×D411yescharacteristic
699C22×D83—21no—
700C22×D83—21no—
701C22×D83—21no—
702C22×D83—42no—
703C22×D83—42no—
704C22×D83—42no—
705C22×D83—42no—
706C22×D83—42no—
707C22×D83—42no—
708C22×D83—81no—
709C22×D83—81no—
710C22×D83—81no—
711C22×D83—81no—
712C22×D83—81no—
713C22×D83—81no—
714C22×D83C22×D411yescharacteristic
715C22×D83C22×D411yescharacteristic
716Q8×C83—21no—
717Q8×C83—21no—
718D4×C83—21no—
719D4×C83—21no—
720D4×C83—21no—
721D4×C83—21no—
722D4×C83—21no—
723D4×C83—42no—
724D4×C83—81no—
725D4×C83—81no—
726D4×C83—81no—
727D4×C83—81no—
728D4×C83C2×#4112yes—
729C2×C4×C83—21no—
730C2×C4×C83—21no—
731C2×C4×C83—21no—
732C2×C4×C83—21no—
733C2×C4×C83—21no—
734C2×C4×C83—21no—
735C2×C4×C83—21no—
736C2×C4×C83—42no—
737C2×C4×C83—81no—
738C2×C4×C83—81no—
739C2×C4×C83—81no—
740C2×C4×C83—81no—
741C2×C4×C83—81no—
742C2×C4×C83C22×D411yescharacteristic
743C2×C4×C83C22×D411yescharacteristic
744C2×C4×C83C22×D411yescharacteristic
745C2×C4×C83C22×D411yescharacteristic
746C2×C4×C83C22×D411yescharacteristic
747C2×C4×C83C2511yescharacteristic
748C22⋊D83—22no—
749C22⋊D83—22no—
750C22⋊D83—42no—
751C22⋊D83—42no—
752C22⋊D83—42no—
753C22⋊D83—42no—
754C22⋊D83—42no—
755C22⋊D83—42no—
756C22⋊D83—81no—
757C22⋊D83—81no—
758C22⋊D83—81no—
759C22⋊D83—81no—
760C22⋊D83—81no—
761C2×Dic83—21no—
762C2×Dic83—21no—
763C2×Dic83—21no—
764C2×Dic83—21no—
765C2×Dic83—21no—
766C2×Dic83—42no—
767C2×Dic83—42no—
768C2×Dic83—42no—
769C2×Dic83—81no—
770C2×Dic83—81no—
771C2×Dic83C22×D411yescharacteristic
772C2×Dic83C22×D411yescharacteristic
773C2×Dic83C22×D411yescharacteristic
774C2×Dic83C22×D411yescharacteristic
775C2×Dic83C22×D411yescharacteristic
776C2×Dic83C22×D411yescharacteristic
777D332—22no—
778D332—21no—
779D332—21no—
780D332—21no—
781D332—21no—
782D332—21no—
783D332—42no—
784D332—42no—
785D332—81no—
786D332—81no—
787D332C2×#4112yes—
788C4×D83—22no—
789C4×D83—21no—
790C4×D83—21no—
791C4×D83—21no—
792C4×D83—21no—
793C4×D83—22no—
794C4×D83—42no—
795C4×D83—42no—
796C4×D83—81no—
797C4×D83—81no—
798C4×D83—81no—
799C4×D83—81no—
800C4×D83—81no—
801C4×D83—81no—
802C4×D83—81no—
803C4×D83—81no—
804C4×D83—81no—
805Dic166—22no—
806Dic166—21no—
807Dic166—21no—
808Dic166—42no—
809Dic166—81no—
810Dic166—81no—
811Dic166—81no—
812C8×C83—21no—
813C8×C83—21no—
814C8×C83—21no—
815C8×C83—21no—
816C83⋊C8—21no—
817C83⋊C8—21no—
818C83⋊C8—21no—
819C83⋊C8C2×#4112yes—
820C22×C83—22no—
821C22×C83—21no—
822C22×C83—21no—
823C22×C83—21no—
824C22×C83—41no—
825C22×C83—41no—
826C22×C83—41no—
827C22×C83—41no—
828C22×C83—41no—
829C22×C83—41no—
830C22×C83—41no—
831C22×C83—41no—
832C22×C83C23×D411yescharacteristic
833C2×D83—21no—
834C2×D83—21no—
835C2×D83—21no—
836C2×D83—22no—
837C2×D83—21no—
838C2×D83—21no—
839C2×D83—41no—
840C2×D83—41no—
841C2×D83—41no—
842C2×D83—41no—
843C2×D83—41no—
844C2×D83—41no—
845C2×D83—41no—
846C2×D83—41no—
847C2×D83—84no—
848C2×D83—84no—
849C2×D83—162no—
850C2×D83—162no—
851C2×D83#57712yes—
852C4×C83—21no—
853C4×C83—21no—
854C4×C83—21no—
855C4×C83—21no—
856C4×C83—21no—
857C4×C83—41no—
858C4×C83—41no—
859C4×C83—41no—
860C4×C83—41no—
861C4×C83—41no—
862C4×C83C22×#4111yescharacteristic
863C4×C83#58511yescharacteristic
864Dic83—21no—
865Dic83—21no—
866Dic83—21no—
867Dic83—21no—
868Dic83—21no—
869Dic83—41no—
870Dic83—41no—
871Dic83—41no—
872Dic83—41no—
873Dic83—41no—
874Dic83#57612yes—
875#61496—831nomaximal, Sylow
876C2×C83—42no—
877C2×C83—41no—
878C2×C83—81no—
879C2×C83—81no—
880C2×C83D4×#4111yescharacteristic
881C2×C83C2×#57611yescharacteristic
882C2×C83C2×#57711yescharacteristic
883D83—22no—
884D83—41no—
885D83—42no—
886D83—81no—
887D83—81no—
888#3520—831no—
889#3519—831no—
890#3397—831no—
891#3384—831no—
892#3360—831no—
893#3358—831no—
894#3354—831no—
895#3346—831no—
896#3346—831no—
897#3303—831no—
898#3297—831no—
899#3297—831no—
900#3295—831no—
901#3295—831no—
902#3294—831no—
903#3272—831no—
904#3264—831no—
905#3264—831no—
906#3179—831no—
907#3179—831no—
908#3167—831no—
909#3119—831no—
910#3119D8311yescharacteristic, complemented
911#3118—831no—
912#3118—831no—
913#3110—831no—
914#3109—831no—
915#2966—831no—
916#2946—831no—
917#2946—831no—
918C2×C4×D8—831no—
919C83#6149611yescharacteristic, complemented, Sylow
920C2×AGL(1,ℤ/8)—831no—
921C2×AGL(1,ℤ/8)—831no—
922C22×D8—831no—
923#556—831no—
924#555—831no—
925#554—831no—
926#554—831no—
927#554—831no—
928#553—831no—
929#553—831no—
930#553—1661no—
931#552—1661no—
932#551—1661no—
933#551—1661no—
934#550—831no—
935D4×Q8—831no—
936#548—1661no—
937#547—831no—
938#547—831no—
939#546—831no—
940#546—831no—
941#546—1661no—
942#546—1661no—
943#546—1661no—
944D42—831no—
945D42—831no—
946D42—831no—
947#542—831no—
948#542—831no—
949#540—831no—
950#540C2×D8311yescharacteristic, complemented
951#539—1661no—
952#539—1661no—
953#538—1661no—
954#538—1661no—
955#533—831no—
956#532—831no—
957#529—831no—
958#525—1661no—
959#525—1661no—
960C2×C22⋊Q8—1661no—
961C2×#121—1661no—
962#520—831no—
963#520C2×D8311yescharacteristic, complemented
964#518—831no—
965#518—831no—
966C2×C4×D4—831no—
967C2×C4×D4—831no—
968#501—831no—
969#501—831no—
970#498—831no—
971#496—831no—
972#496—831no—
973#492—831no—
974#488—831no—
975#488—831no—
976#487—831no—
977#486—831no—
978#486—831no—
979#486—831no—
980#485—831no—
981#485—831no—
982#484—831no—
983#484—831no—
984#482—831no—
985#482—831no—
986#481—831no—
987#481—831no—
988#481—831no—
989#481C2×D8311yescharacteristic, complemented
990#480—831no—
991#480C2×D8311yescharacteristic, complemented
992#479—831no—
993#479C2×D8311yescharacteristic, complemented
994#478—831no—
995#478C2×D8311yescharacteristic, complemented
996#476—831no—
997#476—831no—
998#476—831no—
999#476—831no—
1000#474—831no—
1001#474—831no—
1002#474—831no—
1003#474—831no—
1004#469—831no—
1005#469—831no—
1006#468—831no—
1007#468—831no—
1008#466—831no—
1009#466—831no—
1010#465—831no—
1011#465—831no—
1012#465—831no—
1013#465—831no—
1014#465—831no—
1015#465—831no—
1016#463—831no—
1017#463—831no—
1018#463—831no—
1019#463—831no—
1020#461—831no—
1021#461—831no—
1022#460—831no—
1023#460C2×D8311yescharacteristic, complemented
1024#459—831no—
1025#459—831no—
1026#459—831no—
1027#459C2×D8311yescharacteristic, complemented
1028#450—831no—
1029#450—831no—
1030#450—831no—
1031#450—831no—
1032#449—831no—
1033#449—831no—
1034#449C2×D8311yescharacteristic, complemented
1035#449C2×D8311yescharacteristic, complemented
1036#447—831no—
1037#447—831no—
1038#447—831no—
1039#447—831no—
1040#446—831no—
1041C8×Q8—831no—
1042#442—831no—
1043#442—831no—
1044#442—831no—
1045#442—831no—
1046#442—831no—
1047#442C2×D8311yescharacteristic, complemented
1048#440—831no—
1049#440—831no—
1050#440—831no—
1051#440—831no—
1052#440—831no—
1053#440C2×D8311yescharacteristic, complemented
1054C4×SD16—831no—
1055C4×SD16—831no—
1056C4×SD16—831no—
1057C4×SD16—831no—
1058C4×SD16—831no—
1059C4×SD16C2×D8311yescharacteristic, complemented
1060C4×D8—831no—
1061C4×D8—831no—
1062C4×D8—831no—
1063C4×D8—831no—
1064C4×D8—831no—
1065C4×D8—831no—
1066C4×D8—831no—
1067C4×D8—831no—
1068C4×D8—831no—
1069C4×D8C2×D8311yescharacteristic, complemented
1070#436—831no—
1071#435—831no—
1072#435—831no—
1073C8×D4—831no—
1074C8×D4—831no—
1075C8×D4—831no—
1076#433—831no—
1077#433C2×D8311yescharacteristic, complemented
1078#432—831no—
1079#428—831no—
1080#428—831no—
1081C2×#107—831no—
1082#416—831no—
1083#416—831no—
1084C2×#102—831no—
1085C2×#102—831no—
1086C2×#102—831no—
1087C2×#102—831no—
1088#405—831no—
1089#405—831no—
1090C2×C4×C8—831no—
1091C2×#41—831no—
1092C2×#41—1661no—
1093C2×#41—1661no—
1094C2×#41—1661no—
1095C2×#41C22×D8311yescharacteristic
1096C22×Q8—1661no—
1097C22×D4—831no—
1098C22×D4—831no—
1099C22×D4—831no—
1100C22×D4—831no—
1101C22×D4—1661no—
1102C22×D4—1661no—
1103C22×D4—1661no—
1104C23×C4—1661no—
1105C23×C4—1661no—
1106AGL(1,ℤ/8)—1664no—
1107AGL(1,ℤ/8)—1664no—
1108C2×SD16—831no—
1109C2×SD16—831no—
1110C2×SD16—831no—
1111C2×SD16—831no—
1112C2×SD16—831no—
1113C2×SD16—831no—
1114C2×SD16C22×D8311yescharacteristic
1115C2×SD16C22×D8311yescharacteristic
1116C2×D8—831no—
1117C2×D8—831no—
1118C2×D8—831no—
1119C2×D8—831no—
1120C2×D8—831no—
1121C2×D8—831no—
1122C2×D8—1664no—
1123C2×D8C22×D8311yescharacteristic
1124C2×D8C22×D8311yescharacteristic
1125C2×M16—831no—
1126C2×M16—831no—
1127C22×C8—831no—
1128C22×C8—831no—
1129C22×C8—831no—
1130C22×C8—831no—
1131C4⋊Q8—831no—
1132C4⋊Q8—831no—
1133C4⋊Q8—831no—
1134C4⋊Q8—831no—
1135C4⋊Q8—831no—
1136#127—831no—
1137#127—831no—
1138#127C22×D8311yescharacteristic
1139#126—831no—
1140#126—831no—
1141#126—1661no—
1142#126—1661no—
1143#126—1661no—
1144#126—1661no—
1145#126—1661no—
1146#126—1661no—
1147#125—831no—
1148#125—831no—
1149#125—1661no—
1150#125—1661no—
1151#125—1661no—
1152#125C22×D8311yescharacteristic
1153#124—831no—
1154#124—831no—
1155#124—831no—
1156#124—1661no—
1157#124—1661no—
1158#124—1661no—
1159#124—1661no—
1160#124—1661no—
1161#123—21no—
1162#123—21no—
1163#123—831no—
1164#123—831no—
1165#123—1661no—
1166#123—1661no—
1167#123—1661no—
1168#123—1661no—
1169#123—1661no—
1170#123—1661no—
1171#123—1661no—
1172#123—1661no—
1173#123—1661no—
1174#123—1661no—
1175#123—1661no—
1176#123—1661no—
1177C22⋊Q8—831no—
1178C22⋊Q8—831no—
1179C22⋊Q8—831no—
1180C22⋊Q8—831no—
1181C22⋊Q8—831no—
1182C22⋊Q8—1661no—
1183C22⋊Q8—1661no—
1184C22⋊Q8—1661no—
1185C22⋊Q8—1661no—
1186C22⋊Q8—1661no—
1187C22⋊Q8—1661no—
1188C22⋊Q8—1661no—
1189C22⋊Q8—1661no—
1190C22⋊Q8—1661no—
1191C22⋊Q8—1661no—
1192C22⋊Q8—1661no—
1193C22⋊Q8—1661no—
1194C22⋊Q8—1661no—
1195C22⋊Q8—1661no—
1196C22⋊Q8—1661no—
1197#121—21no—
1198#121—21no—
1199#121—831no—
1200#121—831no—
1201#121—831no—
1202#121—831no—
1203#121—831no—
1204#121—831no—
1205#121—831no—
1206#121—1661no—
1207#121—1661no—
1208#121—1661no—
1209#121—1661no—
1210#121—1661no—
1211#121—1661no—
1212#121—1661no—
1213#121—1661no—
1214#121—1661no—
1215#121—1661no—
1216#121—1661no—
1217#121—1661no—
1218#121—1661no—
1219#121—1661no—
1220#121—1661no—
1221#121C22×D8311yescharacteristic
1222#121C22×D8311yescharacteristic
1223#120—1661no—
1224#120—1661no—
1225#120—1661no—
1226#120—1661no—
1227#120—1661no—
1228#120—1661no—
1229#120—1661no—
1230#120—1661no—
1231C4×Q8—831no—
1232C4×Q8—831no—
1233C4×Q8—831no—
1234C4×Q8—1661no—
1235C4×Q8C22×D8311yescharacteristic
1236C4×Q8C22×D8311yescharacteristic
1237C4×D4—21no—
1238C4×D4—21no—
1239C4×D4—831no—
1240C4×D4—831no—
1241C4×D4—831no—
1242C4×D4—831no—
1243C4×D4—831no—
1244C4×D4—831no—
1245C4×D4—831no—
1246C4×D4—831no—
1247C4×D4—831no—
1248C4×D4—831no—
1249C4×D4—831no—
1250C4×D4—831no—
1251C4×D4—831no—
1252C4×D4—831no—
1253C4×D4—831no—
1254C4×D4—1661no—
1255C4×D4—1661no—
1256C4×D4—1661no—
1257C4×D4—1661no—
1258C4×D4—1661no—
1259C4×D4—1661no—
1260C4×D4—1661no—
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×D4C22×D8311yescharacteristic
1270C4×D4C22×D8311yescharacteristic
1271C4×D4C22×D8311yescharacteristic
1272C4×D4C22×D8311yescharacteristic
1273#117—21no—
1274#117—831no—
1275#117—831no—
1276#117—831no—
1277#117—1661no—
1278#117—1661no—
1279#117—1661no—
1280#117—1661no—
1281#117C22×D8311yescharacteristic
1282C2×C4⋊C4—21no—
1283C2×C4⋊C4—831no—
1284C2×C4⋊C4—831no—
1285C2×C4⋊C4—831no—
1286C2×C4⋊C4—1661no—
1287C2×C4⋊C4—1661no—
1288C2×C4⋊C4—1661no—
1289C2×C4⋊C4C22×D8311yescharacteristic
1290C2×C22⋊C4—1661no—
1291C2×C22⋊C4—1661no—
1292C2×C22⋊C4—1661no—
1293C2×C22⋊C4—1661no—
1294C2×C22⋊C4—1661no—
1295C2×C22⋊C4—1661no—
1296C2×C22⋊C4—1661no—
1297C2×C22⋊C4—1661no—
1298C2×C42—831no—
1299#107—831no—
1300#107—831no—
1301#107—831no—
1302#107—831no—
1303#107—831no—
1304#107—831no—
1305#107C22×D8311yescharacteristic
1306#107C22×D8311yescharacteristic
1307#106—831no—
1308#106—831no—
1309#106—831no—
1310#106—831no—
1311#106—831no—
1312#106—831no—
1313#106C22×D8311yescharacteristic
1314#106C22×D8311yescharacteristic
1315C4⋊C8—831no—
1316C4⋊C8—831no—
1317C4⋊C8—831no—
1318C4⋊C8—831no—
1319C4⋊C8C22×D8311yescharacteristic
1320C4⋊C8C22×D8311yescharacteristic
1321#103—831no—
1322#103—831no—
1323#103—831no—
1324#103—831no—
1325#103—831no—
1326#103—831no—
1327#103C22×D8311yescharacteristic
1328#103C22×D8311yescharacteristic
1329#102—831no—
1330#102—831no—
1331#102—831no—
1332#102—831no—
1333#102—831no—
1334#102—831no—
1335#102—831no—
1336#102—831no—
1337#102—831no—
1338#102—831no—
1339#102—831no—
1340#102—831no—
1341#102—831no—
1342#102—831no—
1343#102—831no—
1344#102—831no—
1345#102—831no—
1346#102—831no—
1347#102C22×D8311yescharacteristic
1348#102C22×D8311yescharacteristic
1349#102C22×D8311yescharacteristic
1350#102C22×D8311yescharacteristic
1351#102C22×D8311yescharacteristic
1352#102C22×D8311yescharacteristic
1353C22⋊C8—831no—
1354C22⋊C8—831no—
1355C22⋊C8—831no—
1356C22⋊C8—831no—
1357C22⋊C8C22×D8311yescharacteristic
1358C22⋊C8C22×D8311yescharacteristic
1359#97—831no—
1360#97—831no—
1361#97—831no—
1362#97C22×D8311yescharacteristic
1363C4×C8—831no—
1364C4×C8—831no—
1365C4×C8—831no—
1366C4×C8—831no—
1367C4×C8—831no—
1368C4×C8C22×D8311yescharacteristic
1369C24—1661no—
1370C24—1661no—
1371C24—1661no—
1372C24—1661no—
1373#41—22no—
1374#41—41no—
1375#41—3321no—
1376#41—6642no—
1377#41—6642no—
1378#41—6642no—
1379#41—1662no—
1380C2×Q8—831no—
1381C2×Q8—831no—
1382C2×Q8—6642no—
1383C2×Q8—1661no—
1384C2×Q8—1661no—
1385C2×Q8—1661no—
1386C2×Q8—1661no—
1387C2×Q8C23×D8311yescharacteristic
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—3321no—
1394C2×D4—3321no—
1395C2×D4—3321no—
1396C2×D4—3321no—
1397C2×D4—831no—
1398C2×D4—831no—
1399C2×D4—831no—
1400C2×D4—831no—
1401C2×D4—831no—
1402C2×D4—831no—
1403C2×D4—6642no—
1404C2×D4—6642no—
1405C2×D4—6642no—
1406C2×D4—1661no—
1407C2×D4—1662no—
1408C2×D4—1661no—
1409C2×D4—1661no—
1410C2×D4—1661no—
1411C2×D4—1661no—
1412C2×D4—1661no—
1413C2×D4—1661no—
1414C2×D4—1661no—
1415C2×D4—1661no—
1416C2×D4—1661no—
1417C2×D4—1662no—
1418C2×D4—1662no—
1419C2×D4—1661no—
1420C2×D4—1661no—
1421C2×D4—1662no—
1422C2×D4—1661no—
1423C2×D4—1661no—
1424C2×D4—1661no—
1425C2×D4C23×D8311yescharacteristic
1426C2×D4C23×D8311yescharacteristic
1427C2×D4C23×D8311yescharacteristic
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—831no—
1435C22×C4—831no—
1436C22×C4—831no—
1437C22×C4—831no—
1438C22×C4—6642no—
1439C22×C4—6642no—
1440C22×C4—1661no—
1441C22×C4—1661no—
1442C22×C4—1661no—
1443C22×C4—1661no—
1444C22×C4—1661no—
1445C22×C4—1661no—
1446C22×C4—1661no—
1447C22×C4—1661no—
1448C22×C4—1661no—
1449C22×C4—1661no—
1450C22×C4—1661no—
1451C22×C4—1661no—
1452C22×C4—1661no—
1453C22×C4—1661no—
1454C22×C4—1661no—
1455C22×C4—1661no—
1456C22×C4C23×D8311yescharacteristic
1457SD16—41no—
1458SD16—41no—
1459SD16—3321no—
1460SD16—3321no—
1461SD16—1662no—
1462SD16—1662no—
1463SD16—1662no—
1464SD16—1662no—
1465D8—22no—
1466D8—22no—
1467D8—3321no—
1468D8—3321no—
1469D8—834no—
1470D8—1662no—
1471D8—1662no—
1472D8—1662no—
1473M16—1662no—
1474M16—1662no—
1475C2×C8—3321no—
1476C2×C8—3321no—
1477C2×C8—3321no—
1478C2×C8—831no—
1479C2×C8—831no—
1480C2×C8—831no—
1481C2×C8—831no—
1482C2×C8—1662no—
1483C2×C8C23×D8311yescharacteristic
1484C2×C8C23×D8311yescharacteristic
1485C2×C8C23×D8311yescharacteristic
1486C2×C8C23×D8311yescharacteristic
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—831no—
1493C4⋊C4—831no—
1494C4⋊C4—831no—
1495C4⋊C4—831no—
1496C4⋊C4—831no—
1497C4⋊C4—831no—
1498C4⋊C4—831no—
1499C4⋊C4—831no—
1500C4⋊C4—831no—
1501C4⋊C4—831no—
1502C4⋊C4—831no—
1503C4⋊C4—831no—
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⋊C4—1661no—
1519C4⋊C4—1661no—
1520C4⋊C4—1661no—
1521C4⋊C4D4×D8311yescharacteristic
1522C4⋊C4D4×D8311yescharacteristic
1523C4⋊C4C23×D8311yescharacteristic
1524C4⋊C4C23×D8311yescharacteristic
1525C4⋊C4C23×D8311yescharacteristic
1526C4⋊C4C23×D8311yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—831no—
1534C22⋊C4—831no—
1535C22⋊C4—831no—
1536C22⋊C4—831no—
1537C22⋊C4—831no—
1538C22⋊C4—831no—
1539C22⋊C4—831no—
1540C22⋊C4—831no—
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⋊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⋊C4D4×D8311yescharacteristic
1570C22⋊C4D4×D8311yescharacteristic
1571C42—21no—
1572C42—21no—
1573C42—831no—
1574C42—831no—
1575C42—831no—
1576C42—831no—
1577C42—1661no—
1578C42—1661no—
1579C42—1661no—
1580C42—1661no—
1581C42C23×D8311yescharacteristic
1582C42C23×D8311yescharacteristic
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—3322no—
1587C23—3322no—
1588C23—3322no—
1589C23—3322no—
1590C23—3322no—
1591C23—3322no—
1592C23—831no—
1593C23—831no—
1594C23—6641no—
1595C23—6641no—
1596C23—6641no—
1597C23—6641no—
1598C23—6641no—
1599C23—6641no—
1600C23—1661no—
1601C23—1661no—
1602C23—1661no—
1603C23C2×D4×D8311yescharacteristic
1604Q8—21no—
1605Q8—21no—
1606Q8—3322no—
1607Q8—6641no—
1608Q8—6641no—
1609Q8—6641no—
1610Q8—1662no—
1611Q8—1661no—
1612Q8—1661no—
1613D4—21no—
1614D4—21no—
1615D4—21no—
1616D4—21no—
1617D4—21no—
1618D4—42no—
1619D4—81no—
1620D4—81no—
1621D4—81no—
1622D4—81no—
1623D4—3322no—
1624D4—3322no—
1625D4—3322no—
1626D4—3322no—
1627D4—3322no—
1628D4—3322no—
1629D4—3322no—
1630D4—3322no—
1631D4—832no—
1632D4—6641no—
1633D4—6641no—
1634D4—6641no—
1635D4—6641no—
1636D4—6641no—
1637D4—6641no—
1638D4—6641no—
1639D4—1662no—
1640D4—1662no—
1641D4—1662no—
1642D4—1661no—
1643D4—1661no—
1644D4—1661no—
1645D4—1661no—
1646D4—1661no—
1647D4#41×D8312yes—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—42no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—81no—
1659C2×C4—81no—
1660C2×C4—81no—
1661C2×C4—3322no—
1662C2×C4—3322no—
1663C2×C4—3322no—
1664C2×C4—3322no—
1665C2×C4—3322no—
1666C2×C4—831no—
1667C2×C4—831no—
1668C2×C4—831no—
1669C2×C4—831no—
1670C2×C4—831no—
1671C2×C4—831no—
1672C2×C4—6641no—
1673C2×C4—6641no—
1674C2×C4—6641no—
1675C2×C4—6641no—
1676C2×C4—6641no—
1677C2×C4—6641no—
1678C2×C4—6641no—
1679C2×C4—6641no—
1680C2×C4—6641no—
1681C2×C4—6641no—
1682C2×C4—6641no—
1683C2×C4—1662no—
1684C2×C4—1662no—
1685C2×C4—1661no—
1686C2×C4—1661no—
1687C2×C4—1661no—
1688C2×C4—1661no—
1689C2×C4—1661no—
1690C2×C4—1661no—
1691C2×C4—1661no—
1692C2×C4—1661no—
1693C2×C4—1661no—
1694C2×C4C2×D4×D8311yescharacteristic
1695C2×C4C2×D4×D8311yescharacteristic
1696C2×C4C2×D4×D8311yescharacteristic
1697C2×C4C2×D4×D8311yescharacteristic
1698C2×C4C2×D4×D8311yescharacteristic
1699C2×C4C24×D8311yescharacteristic
1700C8—21no—
1701C8—21no—
1702C8—21no—
1703C8—21no—
1704C8—832no—
1705C8—1661no—
1706C8—1661no—
1707C8—1661no—
1708C22—21no—
1709C22—21no—
1710C22—21no—
1711C22—22no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—13282no—
1721C22—13282no—
1722C22—3321no—
1723C22—3321no—
1724C22—3321no—
1725C22—3321no—
1726C22—3321no—
1727C22—3321no—
1728C22—3321no—
1729C22—3321no—
1730C22—832no—
1731C22—6644no—
1732C22—6644no—
1733C22—1661no—
1734C22—1661no—
1735C22—1661no—
1736C22—1662no—
1737C22—1661no—
1738C22—1661no—
1739C22C22×D4×D8311yescharacteristic
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—21no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—3321no—
1751C4—3321no—
1752C4—3321no—
1753C4—3321no—
1754C4—3321no—
1755C4—832no—
1756C4—1661no—
1757C4—1661no—
1758C4—1661no—
1759C4—1661no—
1760C4—1661no—
1761C4C2×#41×D8311yescharacteristic
1762C4#1912853711yescharacteristic
1763C2—41no—
1764C2—42no—
1765C2—81no—
1766C2—81no—
1767C2—3322no—
1768C2—3321no—
1769C2—6641no—
1770C2—6641no—
1771C2—1662no—
1772C2#2492094611yescharacteristic
1773C2#576×D8311yescharacteristic
1774C2#577×D8311yescharacteristic
subgroupG/H
centerC22C22×D4×D83
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC83×#3119C2
socleC22×C83C23×D4
hypercenter#3119D83
hypocenterC83#61496
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C22 ◁ #117 ◁ #3119

Complements

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

NH ≅ G/Ntype
1. #24921502C2semidirect
2. #24921493C2semidirect
3. #24920478C2semidirect
4. #24920365C2semidirect
5. #24920115C2semidirect
6. #24920093C2semidirect
7. #24920051C2semidirect
8. #24919955C2semidirect
9. #24919951C2semidirect
10. #24919384C2semidirect
11. #24919310C2semidirect
12. #24919306C2semidirect
13. #24919290C2semidirect
14. #24919285C2semidirect
15. #24919274C2semidirect
16. #24919056C2semidirect
17. #24918946C2semidirect
18. #24918938C2semidirect
19. #24918148C2semidirect
20. #24918144C2semidirect
21. #24918019C2semidirect
22. #24917658C2semidirect
23. #24917653C2semidirect
24. #24917649C2semidirect
25. #24917560C2semidirect
26. #24917552C2semidirect
27. #24916436C2semidirect
28. #24916292C2semidirect
29. #24916291C2semidirect
30. C4×D8×D83C2semidirect
31. C83×#3119C2semidirect
35. #19128423C22semidirect
36. #19128415C22semidirect
37. #19128411C22semidirect
38. #19128407C22semidirect
39. #19128406C22semidirect
46. #19128371C22semidirect
47. D4×Dic166C22semidirect
49. #19128352C22semidirect
50. #19128350C22semidirect
52. #19128346C22semidirect
55. #19128339C22semidirect
58. #19128335C22semidirect
59. #19128323C22semidirect
60. #19128322C22semidirect
61. #19128302C22semidirect
66. #19128255C22semidirect
73. #19128180C22semidirect
74. #19128175C22semidirect
75. #19128173C22semidirect
77. C4×D4×D83C22semidirect
78. #19128111C22semidirect
79. #19128109C22semidirect
80. #19128098C22semidirect
81. #19128088C22semidirect
82. #19128087C22semidirect
83. #19128072C22semidirect
84. #19128058C22semidirect
85. #19128057C22semidirect
86. #19128050C22semidirect
87. #19128047C22semidirect
88. #19128046C22semidirect
89. #19128046C22semidirect
90. #19128043C22semidirect
91. #19128041C22semidirect
92. #19128038C22semidirect
93. #19128035C22semidirect
94. #19128027C22semidirect
95. #19128026C22semidirect
96. #19128021C22semidirect
97. #19128018C22semidirect
98. #19128018C22semidirect
99. #19128016C22semidirect
100. #19128007C22semidirect
101. #19128003C22semidirect
102. #19127992C22semidirect
103. #19127990C22semidirect
104. #19127990C22semidirect
105. #19127989C22semidirect
106. #19127982C22semidirect
107. #19127980C22semidirect
108. #19127979C22semidirect
109. #19127979C22semidirect
110. #19127953C22semidirect
111. #19127952C22semidirect
112. #19127950C22semidirect
113. #19127945C22semidirect
114. #19127938C22semidirect
115. #19127935C22semidirect
116. #19127933C22semidirect
117. #19127931C22semidirect
118. #19127929C22semidirect
119. #19127928C22semidirect
120. #19127927C22semidirect
121. #19127927C22semidirect
123. #19127918C22semidirect
125. #19127917C22semidirect
126. #19127905C22semidirect
127. #19127904C22semidirect
128. #19127900C22semidirect
129. #19127895C22semidirect
130. #19127894C22semidirect
131. #19127894C22semidirect
132. #19127854C22semidirect
135. #19127850C22semidirect
136. #19127847C22semidirect
137. #19127843C22semidirect
140. #19127836C22semidirect
141. #19127833C22semidirect
142. #19127830C22semidirect
143. #19127825C22semidirect
144. #19127814C22semidirect
146. #19127811C22semidirect
147. #19127811C22semidirect
149. #19127803C22semidirect
150. #19127801C22semidirect
151. #19127799C22semidirect
152. #19127799C22semidirect
153. #19127798C22semidirect
154. C4×#13050579C22semidirect
155. C4×#13050577C22semidirect
156. C4×#13050577C22semidirect
157. #19127788C22semidirect
158. C4×#13050578C22semidirect
160. D8×Dic83C22semidirect
161. D8×Dic83C22semidirect
164. C4×#13050575C22semidirect
165. C4×#13050575C22semidirect
167. #19127781C22semidirect
168. #19127776C22semidirect
169. #19127775C22semidirect
170. #19127771C22semidirect
171. #19127766C22semidirect
172. (C22⋊D83)⋊C8C22semidirect
173. (C22⋊D83)⋊C8C22semidirect
174. #19127760C22semidirect
175. #19127756C22semidirect
176. #19127741C22semidirect
177. #19127740C22semidirect
178. #107×D83C22semidirect
179. #19127697C22semidirect
180. #19127694C22semidirect
181. C2×#14581712C22semidirect
183. #102×D83C22semidirect
184. #102×D83C22semidirect
185. #19127658C22semidirect
186. #19127657C22semidirect
187. C4×C8×D83C22semidirect
188. #540×C83C22semidirect
189. #520×C83C22semidirect
190. #481×C83C22semidirect
191. #480×C83C22semidirect
192. #479×C83C22semidirect
193. #478×C83C22semidirect
194. #460×C83C22semidirect
195. #459×C83C22semidirect
196. #449×C83C22semidirect
197. #449×C83C22semidirect
198. #442×C83C22semidirect
199. #440×C83C22semidirect
200. C4×SD16×C83C22semidirect
201. C4×D8×C83C22semidirect
202. #433×C83C22semidirect
562. #13050575#41semidirect
910. #3119D83semidirect
919. C83#61496semidirect
950. #540C2×D83semidirect
963. #520C2×D83semidirect
989. #481C2×D83semidirect
991. #480C2×D83semidirect
993. #479C2×D83semidirect
995. #478C2×D83semidirect
1023. #460C2×D83semidirect
1027. #459C2×D83semidirect
1034. #449C2×D83semidirect
1035. #449C2×D83semidirect
1047. #442C2×D83semidirect
1053. #440C2×D83semidirect
1059. C4×SD16C2×D83semidirect
1069. C4×D8C2×D83semidirect
1077. #433C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249215022
#249214932
#249204782
#249203652
#249201152
#249200932
#249200512
#249199552
#249199512
#249193842
#249193102
#249193062
#249192902
#249192852
#249192742
#249190562
#249189462
#249189382
#249181482
#249181442
#249180192
#249176582
#249176532
#249176492
#249175602
#249175522
#249164362
#249162922
#249162912
C4×D8×D832
C83×#31192
#6149683