Finite Group Databasebeta

← #36300166

Subgroups — #36300166

Order 21248.

1974 conjugacy classes of subgroups.

The subgroup lattice has 1722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24921341C211yesmaximal, characteristic, complemented
2#24920950C211yesmaximal, characteristic
3#24920387C211yesmaximal, characteristic, complemented
4#24920381C211yesmaximal, characteristic, complemented
5#24920195C211yesmaximal, characteristic, complemented
6#24920193C211yesmaximal, characteristic, complemented
7#24920043C211yesmaximal, characteristic, complemented
8#24920040C211yesmaximal, characteristic, complemented
9#24919901C211yesmaximal, characteristic, complemented
10#24919899C211yesmaximal, characteristic, complemented
11#24919897C211yesmaximal, characteristic, complemented
12#24919692C211yesmaximal, characteristic, complemented
13#24919689C211yesmaximal, characteristic, complemented
14#24919490C211yesmaximal, characteristic, complemented
15#24919486C211yesmaximal, characteristic, complemented
16#24919482C211yesmaximal, characteristic, complemented
17#24919478C211yesmaximal, characteristic, complemented
18#24918849C211yesmaximal, characteristic, complemented
19#24918845C211yesmaximal, characteristic, complemented
20#24918774C211yesmaximal, characteristic, complemented
21#24918662C211yesmaximal, characteristic, complemented
22#24918658C211yesmaximal, characteristic, complemented
23#24918582C211yesmaximal, characteristic, complemented
24#24917560C211yesmaximal, characteristic, complemented
25#24917559C211yesmaximal, characteristic, complemented
26#24917468C211yesmaximal, characteristic, complemented
27#24917259C211yesmaximal, characteristic, complemented
28#24917258C211yesmaximal, characteristic, complemented
29C2×#19127980C211yesmaximal, characteristic, complemented
30#24916575C211yesmaximal, characteristic, complemented
31C83×#3343C211yesmaximal, characteristic, complemented
32C2×#41×D83—21no—
33#19128428—21no—
34#19128428C2211yescharacteristic, complemented
35#19128427C2211yescharacteristic, complemented
36#19128422C2211yescharacteristic, complemented
37#19128419C2211yescharacteristic, complemented
38#19128418—21no—
39#19128393C2211yescharacteristic, complemented
40#19128391C2211yescharacteristic, complemented
41#19128388—21no—
42#19128386C2211yescharacteristic, complemented
43#19128384—21no—
44#19128372C2211yescharacteristic
45#19128366C2211yescharacteristic
46#19128361—21no—
47#19128352C2211yescharacteristic
48#19128352C2211yescharacteristic
49#19128343—21no—
50#19128343—21no—
51#19128339—21no—
52D4×D332C2211yescharacteristic
53#19128335C2211yescharacteristic
54#19128335C2211yescharacteristic
55#19128310—21no—
56#19128308—21no—
57#19128273—21no—
58#19128257C2211yescharacteristic, complemented
59#19128255C2211yescharacteristic, complemented
60#19128254C2211yescharacteristic, complemented
61#19128253C2211yescharacteristic, complemented
62#19128253C2211yescharacteristic, complemented
63#19128252C2211yescharacteristic
64#19128246C2211yescharacteristic
65#19128246C2211yescharacteristic
66C2×#14581791C2211yescharacteristic, complemented
67#19128214—21no—
68#19128209—21no—
69#19128209—21no—
70#19128178—21no—
71C4×#13050589C2211yescharacteristic
72C2×#14581754C2211yescharacteristic
73C2×#14581754C2211yescharacteristic
74C4×D4×D83C2211yescharacteristic
75#19128109C2211yescharacteristic, complemented
76#19128108C2211yescharacteristic, complemented
77#19128107C2211yescharacteristic, complemented
78#19128105C2211yescharacteristic, complemented
79#19128105C2211yescharacteristic, complemented
80#19128067C2211yescharacteristic, complemented
81#19128066C2211yescharacteristic, complemented
82#19128064C2211yescharacteristic, complemented
83#19128064C2211yescharacteristic, complemented
84#19128046C2211yescharacteristic, complemented
85#19128046C2211yescharacteristic, complemented
86#19128038C2211yescharacteristic, complemented
87#19128036C2211yescharacteristic, complemented
88#19128035C2211yescharacteristic, complemented
89#19128031C2211yescharacteristic, complemented
90#19128028C2211yescharacteristic, complemented
91#19128028C2211yescharacteristic, complemented
92#19128027C2211yescharacteristic, complemented
93#19128027C2211yescharacteristic, complemented
94#19128026C2211yescharacteristic, complemented
95#19128025C2211yescharacteristic, complemented
96#19128022C2211yescharacteristic, complemented
97#19128015C2211yescharacteristic, complemented
98#19128014C2211yescharacteristic, complemented
99#19128012C2211yescharacteristic, complemented
100#19128004C2211yescharacteristic
101#19128004C2211yescharacteristic, complemented
102#19128002C2211yescharacteristic
103#19128001C2211yescharacteristic, complemented
104#19128000C2211yescharacteristic
105#19128000C2211yescharacteristic, complemented
106#19127998C2211yescharacteristic
107#19127995C2211yescharacteristic, complemented
108#19127994C2211yescharacteristic, complemented
109#19127993C2211yescharacteristic, complemented
110#19127990C2211yescharacteristic
111#19127990C2211yescharacteristic, complemented
112#19127990C2211yescharacteristic, complemented
113#19127989C2211yescharacteristic, complemented
114#19127985C2211yescharacteristic, complemented
115#19127984C2211yescharacteristic, complemented
116#19127980C2211yescharacteristic
117#19127980C2211yescharacteristic
118#19127980C2211yescharacteristic
119#19127980C2211yescharacteristic
120#19127980C2211yescharacteristic, complemented
121#19127980C2211yescharacteristic, complemented
122#19127980C2211yescharacteristic, complemented
123#19127980C2211yescharacteristic, complemented
124#19127980C2211yescharacteristic, complemented
125#19127980C2211yescharacteristic, complemented
126#19127979C2211yescharacteristic, complemented
127#19127979C2211yescharacteristic, complemented
128#19127950C2211yescharacteristic, complemented
129#19127950C2211yescharacteristic, complemented
130#19127949C2211yescharacteristic, complemented
131#19127948C2211yescharacteristic, complemented
132#19127948C2211yescharacteristic, complemented
133#19127947C2211yescharacteristic, complemented
134#19127945C2211yescharacteristic, complemented
135#19127932C2211yescharacteristic, complemented
136#19127930C2211yescharacteristic, complemented
137#19127928C2211yescharacteristic, complemented
138#19127905C2211yescharacteristic
139#19127905C2211yescharacteristic, complemented
140#19127905C2211yescharacteristic, complemented
141#19127904C2211yescharacteristic, complemented
142#19127902C2211yescharacteristic, complemented
143#19127901C2211yescharacteristic, complemented
144#19127900C2211yescharacteristic, complemented
145#19127900C2211yescharacteristic, complemented
146#19127899C2211yescharacteristic, complemented
147#19127899C2211yescharacteristic, complemented
148#19127854C2211yescharacteristic
149#19127854C2211yescharacteristic
150#19127853C2211yescharacteristic
151#19127851C2211yescharacteristic
152#19127851C2211yescharacteristic
153#19127850C2211yescharacteristic
154#19127830C2211yescharacteristic, complemented
155#19127829C2211yescharacteristic, complemented
156#19127804C2211yescharacteristic
157#19127804C2211yescharacteristic, complemented
158#19127803C2211yescharacteristic
159#19127801C2211yescharacteristic, complemented
160#19127800C2211yescharacteristic
161#19127800C2211yescharacteristic, complemented
162#19127799C2211yescharacteristic
163#19127788C2211yescharacteristic
164#19127788C2211yescharacteristic, complemented
165#19127786C2211yescharacteristic
166#19127786C2211yescharacteristic, complemented
167#19127777C2211yescharacteristic, complemented
168#19127776C2211yescharacteristic, complemented
169#19127773C2211yescharacteristic, complemented
170#19127772C2211yescharacteristic, complemented
171#19127769C2211yescharacteristic, complemented
172#19127756C2211yescharacteristic, complemented
173#19127755C2211yescharacteristic, complemented
174#19127751C2211yescharacteristic, complemented
175#19127742C2211yescharacteristic, complemented
176#19127741C2211yescharacteristic, complemented
177#19127740C2211yescharacteristic, complemented
178C2×#14581725C2211yescharacteristic, complemented
179#19127724C2211yescharacteristic, complemented
180#19127723C2211yescharacteristic, complemented
181C2×Dic83⋊C8C2211yescharacteristic, complemented
182#19127707C2211yescharacteristic
183#19127705C2211yescharacteristic
184#19127704C2211yescharacteristic
185#19127704C2211yescharacteristic
186C2×#14581714C2211yescharacteristic
187C2×#14581712C2211yescharacteristic
188#552×C83C2211yescharacteristic, complemented
189#547×C83C2211yescharacteristic
190#501×C83C2211yescharacteristic, complemented
191#484×C83C2211yescharacteristic, complemented
192#483×C83C2211yescharacteristic, complemented
193#482×C83C2211yescharacteristic, complemented
194#480×C83C2211yescharacteristic, complemented
195#478×C83C2211yescharacteristic, complemented
196#477×C83C2211yescharacteristic, complemented
197#468×C83C2211yescharacteristic, complemented
198#465×C83C2211yescharacteristic, complemented
199#440×C83C2211yescharacteristic, complemented
200#435×C83C2211yescharacteristic, complemented
201#428×C83C2211yescharacteristic, complemented
202C2×#107×C83C2211yescharacteristic, complemented
203C2×#13050591—21no—
204C2×#13050590—21no—
205C2×#13050590—21no—
206C2×#13050590—21no—
207C2×#13050589—21no—
208C2×#13050589—21no—
209C2×#13050589D411yescharacteristic
210#41×D83—48no—
211C22×Dic166—21no—
212C2×Q8×D83—21no—
213C22×D332C2311yescharacteristic
214C22×D332C2311yescharacteristic
215C2×D4×D83—21no—
216C2×D4×D83—21no—
217C2×D4×D83—21no—
218C2×D4×D83C2311yescharacteristic
219C22×C4×D83—21no—
220C22×C4×D83—21no—
221C22×C4×D83—21no—
222C2×#13050579C2311yescharacteristic
223C2×#13050579C2311yescharacteristic
224C2×#13050579C2311yescharacteristic
225C2×#13050578C2311yescharacteristic
226C2×#13050577C2311yescharacteristic
227C2×#13050577C2311yescharacteristic
228C2×#13050577C2311yescharacteristic
229C2×#13050574C2311yescharacteristic
230C2×#13050573C2311yescharacteristic
231C2×#13050573C2311yescharacteristic
232C22×C83⋊C8C2311yescharacteristic
233#14581791—21no—
234#14581791—21no—
235#14581791—21no—
236#14581791—21no—
237#14581791C2311yescharacteristic
238#14581791C2311yescharacteristic
239#14581791C2311yescharacteristic
240#14581791C2311yescharacteristic
241#14581791C2311yescharacteristic
242#14581791C2311yescharacteristic
243#14581791C2311yescharacteristic
244#14581790C2311yescharacteristic
245#14581789C2311yescharacteristic
246#14581788C2311yescharacteristic
247#14581788C2311yescharacteristic
248#14581787—21no—
249#14581787—21no—
250#14581787—21no—
251#14581786—21no—
252#14581785—21no—
253#14581785—21no—
254#14581785—21no—
255#14581784—21no—
256#14581784C2311yescharacteristic
257#14581783—21no—
258#14581783—21no—
259#14581783C2311yescharacteristic
260#14581783C2311yescharacteristic
261#14581782—21no—
262#14581782—21no—
263#14581782—21no—
264#14581782—21no—
265#14581782—21no—
266#14581782—21no—
267#14581782—21no—
268#14581781—21no—
269#14581778—21no—
270#14581778—21no—
271#14581778—21no—
272#14581778—21no—
273#14581777—21no—
274#14581777—21no—
275#14581776—21no—
276#14581775—21no—
277#14581775—21no—
278#14581775—21no—
279#14581773—21no—
280#14581772C2311yescharacteristic
281#14581771C2311yescharacteristic
282#14581771C2311yescharacteristic
283#14581770—21no—
284#14581770—21no—
285#14581770—21no—
286#14581770—21no—
287#14581770—21no—
288#14581770—21no—
289#14581770—21no—
290#14581769—21no—
291#14581769—21no—
292#14581769—21no—
293#14581769—21no—
294#14581768—21no—
295#14581768C2311yescharacteristic
296#14581767—21no—
297#14581767—21no—
298#14581767C2311yescharacteristic
299#14581767C2311yescharacteristic
300#14581766—21no—
301#14581766C2311yescharacteristic
302#14581766C2311yescharacteristic
303#14581765—21no—
304#14581765—21no—
305#14581765—21no—
306#14581765—21no—
307#14581764—21no—
308#14581764—21no—
309#14581762—21no—
310#14581762—21no—
311#14581762—21no—
312#14581762—21no—
313#14581760—21no—
314#14581760—21no—
315Q8×Dic83C2311yescharacteristic
316Q8×Dic83C2311yescharacteristic
317C4×Dic166—21no—
318C4×Dic166—21no—
319C4×Dic166—21no—
320C4×Dic166—21no—
321C4×Dic166—21no—
322C4×Dic166C2311yescharacteristic
323C4×Dic166C2311yescharacteristic
324#14581757—21no—
325#14581757—21no—
326#14581757—21no—
327#14581757—21no—
328#14581757—21no—
329#14581757—21no—
330#14581757D411yescharacteristic
331#14581757C2311yescharacteristic
332#14581757C2311yescharacteristic
333C4×D332C2311yescharacteristic
334D4×Dic83D411yescharacteristic
335D4×Dic83C2311yescharacteristic
336#14581754—21no—
337#14581754—21no—
338#14581754—21no—
339#14581754—21no—
340#14581754—21no—
341#14581754C2311yescharacteristic
342#14581754C2311yescharacteristic
343#14581754C2311yescharacteristic
344#14581754C2311yescharacteristic
345#14581754C2311yescharacteristic
346#14581754C2311yescharacteristic
347#14581754C2311yescharacteristic
348C4×C22⋊D83—21no—
349C4×C22⋊D83C2311yescharacteristic
350C4×C22⋊D83C2311yescharacteristic
351(C22⋊D83)⋊C4—21no—
352(C22⋊D83)⋊C4—21no—
353(C22⋊D83)⋊C4—21no—
354(C22⋊D83)⋊C4D411yescharacteristic
355(C22⋊D83)⋊C4D411yescharacteristic
356#14581751—21no—
357#14581751C2311yescharacteristic
358#14581750D411yescharacteristic
359#14581750C2311yescharacteristic
360#14581750C2311yescharacteristic
361#14581749—21no—
362#14581748—21no—
363#14581748—21no—
364#14581748—21no—
365#14581748—21no—
366#14581748D411yescharacteristic
367#14581748D411yescharacteristic
368C2×C4⋊Dic83C2311yescharacteristic
369C2×Dic83⋊C4—21no—
370C4⋊C4×D83C2311yescharacteristic
371C2×(C2×D83)⋊C4—21no—
372C2×(C2×D83)⋊C4—21no—
373C22⋊C4×D83—21no—
374C2×C4×Dic83C2311yescharacteristic
375C2×C4×Dic83C2311yescharacteristic
376C42×D83C2311yescharacteristic
377#14581726C2311yescharacteristic
378#14581726C2311yescharacteristic
379#14581725C2311yescharacteristic
380#14581725C2311yescharacteristic
381#14581725C2311yescharacteristic
382#14581725C2311yescharacteristic
383#14581725C2311yescharacteristic
384#14581725C2311yescharacteristic
385#14581725C2311yescharacteristic
386#14581725C2311yescharacteristic
387#14581724C2311yescharacteristic
388#14581723C2311yescharacteristic
389#14581723C2311yescharacteristic
390#14581723C2311yescharacteristic
391#14581723C2311yescharacteristic
392C4⋊(C83⋊C8)C2311yescharacteristic
393Dic83⋊C8C2311yescharacteristic
394Dic83⋊C8C2311yescharacteristic
395Dic83⋊C8C2311yescharacteristic
396Dic83⋊C8C2311yescharacteristic
397Dic83⋊C8C2311yescharacteristic
398Dic83⋊C8C2311yescharacteristic
399Dic83⋊C8C2311yescharacteristic
400Dic83⋊C8C2311yescharacteristic
401#14581717C2311yescharacteristic
402#14581716C2311yescharacteristic
403#14581715C2311yescharacteristic
404#14581715C2311yescharacteristic
405#14581715C2311yescharacteristic
406#14581714C2311yescharacteristic
407#14581714C2311yescharacteristic
408#14581714C2311yescharacteristic
409#14581714C2311yescharacteristic
410#14581714C2311yescharacteristic
411#14581714C2311yescharacteristic
412#14581714C2311yescharacteristic
413#14581714C2311yescharacteristic
414#14581714C2311yescharacteristic
415#14581713C2311yescharacteristic
416#14581713C2311yescharacteristic
417#14581713C2311yescharacteristic
418#14581712C2311yescharacteristic
419#14581712C2311yescharacteristic
420#14581712C2311yescharacteristic
421#14581712C2311yescharacteristic
422#14581712C2311yescharacteristic
423#14581712C2311yescharacteristic
424#14581712C2311yescharacteristic
425#14581712C2311yescharacteristic
426#14581712C2311yescharacteristic
427C22⋊(C83⋊C8)C2311yescharacteristic
428C22⋊(C83⋊C8)C2311yescharacteristic
429(C2×D83)⋊C8C2311yescharacteristic
430(C2×D83)⋊C8C2311yescharacteristic
431#14581703C2311yescharacteristic
432#14581702C2311yescharacteristic
433#14581702C2311yescharacteristic
434C8×Dic83C2311yescharacteristic
435C8×Dic83C2311yescharacteristic
436C2×#41×C83—21no—
437C2×SD16×C83C2311yescharacteristic
438C2×M16×C83C2311yescharacteristic
439C22×C8×C83C2311yescharacteristic
440C4⋊Q8×C83C2311yescharacteristic
441#126×C83—21no—
442#125×C83—21no—
443#125×C83C2311yescharacteristic
444#123×C83—21no—
445#123×C83—21no—
446#123×C83—21no—
447C22⋊Q8×C83—21no—
448C22⋊Q8×C83C2311yescharacteristic
449C22⋊Q8×C83C2311yescharacteristic
450#121×C83C2311yescharacteristic
451#121×C83C2311yescharacteristic
452C4×Q8×C83C2311yescharacteristic
453C4×D4×C83C2311yescharacteristic
454C4×D4×C83C2311yescharacteristic
455#117×C83—21no—
456#117×C83C2311yescharacteristic
457C2×C4⋊C4×C83C2311yescharacteristic
458C2×C4⋊C4×C83C2311yescharacteristic
459C2×C4⋊C4×C83C2311yescharacteristic
460#107×C83C2311yescharacteristic
461#107×C83C2311yescharacteristic
462#107×C83C2311yescharacteristic
463#107×C83C2311yescharacteristic
464#107×C83C2311yescharacteristic
465#107×C83C2311yescharacteristic
466#106×C83C2311yescharacteristic
467#106×C83C2311yescharacteristic
468#106×C83C2311yescharacteristic
469C4⋊C8×C83C2311yescharacteristic
470#103×C83C2311yescharacteristic
471#103×C83C2311yescharacteristic
472#103×C83C2311yescharacteristic
473#102×C83C2311yescharacteristic
474#102×C83C2311yescharacteristic
475#102×C83C2311yescharacteristic
476C22⋊C8×C83C2311yescharacteristic
477C22⋊C8×C83C2311yescharacteristic
478#97×C83C2311yescharacteristic
479C23×D83—21no—
480C23×D83—21no—
481C23×D83—21no—
482#13050591—44no—
483#13050590—44no—
484#13050590—44no—
485#13050590—44no—
486#13050589—24no—
487#13050589—44no—
488#13050589—44no—
489C2×Dic166—21no—
490C2×Dic166—21no—
491C2×Dic166—21no—
492C2×Dic166—21no—
493C2×Dic166—21no—
494C2×Dic166—21no—
495C2×Dic166—21no—
496C2×Dic166—44no—
497C2×Dic166C2×D411yescharacteristic
498C2×Dic166C2411yescharacteristic
499Q8×D83—44no—
500C2×D332—22no—
501C2×D332—22no—
502C2×D332—21no—
503C2×D332—21no—
504C2×D332—21no—
505C2×D332—21no—
506C2×D332—21no—
507C2×D332—21no—
508C2×D332—41no—
509C2×D332—41no—
510C2×D332C2411yescharacteristic
511C2×D332C2411yescharacteristic
512C2×D332C2411yescharacteristic
513C2×C22⋊D83—21no—
514C2×C22⋊D83—21no—
515C2×C22⋊D83—21no—
516C2×C22⋊D83—21no—
517C2×C22⋊D83—21no—
518C2×C22⋊D83—21no—
519C2×C22⋊D83—21no—
520C2×C22⋊D83C2×D411yescharacteristic
521C2×C22⋊D83C2×D411yescharacteristic
522D4×D83—22no—
523D4×D83—41no—
524D4×D83—44no—
525D4×D83—44no—
526D4×D83—44no—
527C22×Dic83—21no—
528C22×Dic83—21no—
529C22×Dic83C2×D411yescharacteristic
530C22×Dic83C2×D411yescharacteristic
531C22×Dic83C2×D411yescharacteristic
532C22×Dic83C2×D411yescharacteristic
533C2×C4×D83—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—44no—
543C2×C4×D83—44no—
544C2×C4×D83—44no—
545C2×C4×D83C2×D411yescharacteristic
546C2×C4×D83C2×D411yescharacteristic
547C2×C4×D83C2411yescharacteristic
548#13050579—22no—
549#13050579—41no—
550#13050579—41no—
551#13050578—41no—
552#13050577—22no—
553#13050577—41no—
554#13050577—41no—
555#13050574—41no—
556#13050573—41no—
557#13050573—41no—
558C2×C83⋊C8—41no—
559C2×C83⋊C8C2411yescharacteristic
560C2×C83⋊C8C2411yescharacteristic
561C2×C83⋊C8C2411yescharacteristic
562C2×C83⋊C8C2411yescharacteristic
563C4⋊Dic83—21no—
564C4⋊Dic83—21no—
565C4⋊Dic83—21no—
566C4⋊Dic83—21no—
567C4⋊Dic83—21no—
568C4⋊Dic83—21no—
569C4⋊Dic83C2×D411yescharacteristic
570C4⋊Dic83C2411yescharacteristic
571C4⋊Dic83C2411yescharacteristic
572C4⋊Dic83C2411yescharacteristic
573C4⋊Dic83C2411yescharacteristic
574Dic83⋊C4—21no—
575Dic83⋊C4—21no—
576Dic83⋊C4—21no—
577Dic83⋊C4—21no—
578Dic83⋊C4—21no—
579Dic83⋊C4—21no—
580Dic83⋊C4—21no—
581Dic83⋊C4—21no—
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⋊C4C2×D411yescharacteristic
595Dic83⋊C4C2×D411yescharacteristic
596Dic83⋊C4C2×D411yescharacteristic
597Dic83⋊C4C2×D411yescharacteristic
598C22⋊Dic83—21no—
599C22⋊Dic83—21no—
600C22⋊Dic83—21no—
601C22⋊Dic83—21no—
602C22⋊Dic83C2×D411yescharacteristic
603C22⋊Dic83C2×D411yescharacteristic
604(C2×D83)⋊C4—21no—
605(C2×D83)⋊C4—21no—
606(C2×D83)⋊C4—21no—
607(C2×D83)⋊C4—21no—
608(C2×D83)⋊C4—21no—
609(C2×D83)⋊C4—21no—
610(C2×D83)⋊C4—21no—
611(C2×D83)⋊C4—21no—
612(C2×D83)⋊C4—21no—
613(C2×D83)⋊C4—21no—
614(C2×D83)⋊C4—21no—
615(C2×D83)⋊C4—21no—
616(C2×D83)⋊C4—21no—
617(C2×D83)⋊C4—21no—
618(C2×D83)⋊C4—21no—
619(C2×D83)⋊C4—21no—
620(C2×D83)⋊C4C2×D411yescharacteristic
621(C2×D83)⋊C4C2×D411yescharacteristic
622C4×Dic83—21no—
623C4×Dic83—21no—
624C4×Dic83—21no—
625C4×Dic83—21no—
626C4×Dic83—21no—
627C4×Dic83—21no—
628C4×Dic83—21no—
629C4×Dic83—21no—
630C4×Dic83C2×D411yescharacteristic
631C4×Dic83C2×D411yescharacteristic
632C4×Dic83C2×D411yescharacteristic
633C4×Dic83C2×D411yescharacteristic
634C4×Dic83C2×D411yescharacteristic
635C4×Dic83C2×D411yescharacteristic
636C4×Dic83C2411yescharacteristic
637C4×Dic83C2411yescharacteristic
638C4×Dic83C2411yescharacteristic
639#41×C83—44no—
640C2×Q8×C83—21no—
641C2×Q8×C83C2411yescharacteristic
642C2×D4×C83—21no—
643C2×D4×C83—21no—
644C2×D4×C83C2×D411yescharacteristic
645C2×D4×C83C2411yescharacteristic
646C22×C4×C83—21no—
647C22×C4×C83—21no—
648C22×C4×C83—21no—
649C22×C4×C83—21no—
650C22×C4×C83C2411yescharacteristic
651C22×C4×C83C2411yescharacteristic
652SD16×C83—41no—
653M16×C83—41no—
654C2×C8×C83—41no—
655C2×C8×C83C2411yescharacteristic
656C2×C8×C83C2411yescharacteristic
657C2×C8×C83C2411yescharacteristic
658C2×C8×C83C2411yescharacteristic
659C4⋊C4×C83—21no—
660C4⋊C4×C83—21no—
661C4⋊C4×C83—21no—
662C4⋊C4×C83—21no—
663C4⋊C4×C83—21no—
664C4⋊C4×C83—21no—
665C4⋊C4×C83—21no—
666C4⋊C4×C83—21no—
667C4⋊C4×C83—21no—
668C4⋊C4×C83C2×D411yescharacteristic
669C4⋊C4×C83C2411yescharacteristic
670C4⋊C4×C83C2411yescharacteristic
671C4⋊C4×C83C2411yescharacteristic
672C4⋊C4×C83C2411yescharacteristic
673C4⋊C4×C83C2411yescharacteristic
674C4⋊C4×C83C2411yescharacteristic
675C22⋊C4×C83—21no—
676C22⋊C4×C83—21no—
677C22⋊C4×C83—21no—
678C22⋊C4×C83—21no—
679C22⋊C4×C83—21no—
680C22⋊C4×C83—21no—
681C22⋊C4×C83C2×D411yescharacteristic
682C22⋊C4×C83C2×D411yescharacteristic
683C42×C83—21no—
684C42×C83—21no—
685C42×C83C2411yescharacteristic
686C23×C83—21no—
687C23×C83C22×D411yescharacteristic
688C23×C83C22×D411yescharacteristic
689C22×D83—21no—
690C22×D83—21no—
691C22×D83—21no—
692C22×D83—42no—
693C22×D83—42no—
694C22×D83—42no—
695C22×D83—42no—
696C22×D83—42no—
697C22×D83—42no—
698C22×D83—81no—
699C22×D83—81no—
700C22×D83—81no—
701C22×D83C22×D411yescharacteristic
702Q8×C83—21no—
703Q8×C83—21no—
704Q8×C83—42no—
705D4×C83—22no—
706D4×C83—21no—
707D4×C83—21no—
708D4×C83—42no—
709D4×C83—42no—
710C2×C4×C83—21no—
711C2×C4×C83—21no—
712C2×C4×C83—21no—
713C2×C4×C83—21no—
714C2×C4×C83—21no—
715C2×C4×C83—21no—
716C2×C4×C83—21no—
717C2×C4×C83—21no—
718C2×C4×C83—21no—
719C2×C4×C83—21no—
720C2×C4×C83—21no—
721C2×C4×C83—42no—
722C2×C4×C83—42no—
723C2×C4×C83—42no—
724C2×C4×C83—42no—
725C2×C4×C83C22×D411yescharacteristic
726C2×C4×C83C22×D411yescharacteristic
727C2×C4×C83C22×D411yescharacteristic
728C2×C4×C83C22×D411yescharacteristic
729C2×C4×C83C2511yescharacteristic
730C22⋊D83—22no—
731C22⋊D83—22no—
732C22⋊D83—42no—
733C22⋊D83—42no—
734C22⋊D83—42no—
735C22⋊D83—42no—
736C22⋊D83—42no—
737C22⋊D83—81no—
738C22⋊D83—81no—
739C2×Dic83—22no—
740C2×Dic83—21no—
741C2×Dic83—21no—
742C2×Dic83—21no—
743C2×Dic83—21no—
744C2×Dic83—21no—
745C2×Dic83—41no—
746C2×Dic83—41no—
747C2×Dic83—42no—
748C2×Dic83—42no—
749C2×Dic83AGL(1,ℤ/8)14yes—
750C2×Dic83C22×D411yescharacteristic
751C2×Dic83C22×D411yescharacteristic
752C2×Dic83C22×D411yescharacteristic
753C2×Dic83C22×D411yescharacteristic
754C2×Dic83C22×D411yescharacteristic
755C2×Dic83C22×D411yescharacteristic
756C2×Dic83C22×D411yescharacteristic
757D332—21no—
758D332—21no—
759D332—21no—
760D332—21no—
761D332—21no—
762D332—42no—
763D332—42no—
764D332—42no—
765D332—42no—
766D332—42no—
767D332—81no—
768D3322−1+412yes—
769C4×D83—21no—
770C4×D83—21no—
771C4×D83—22no—
772C4×D83—41no—
773C4×D83—42no—
774C4×D83—42no—
775C4×D83—42no—
776C4×D83—42no—
777C4×D83—42no—
778C4×D83—42no—
779C4×D83—42no—
780C4×D83—42no—
781C4×D83—42no—
782Dic166—22no—
783Dic166—21no—
784Dic166—21no—
785Dic166—42no—
786Dic166—42no—
787Dic166—42no—
788Dic166—42no—
789Dic166—42no—
790Dic166—42no—
791Dic166—42no—
792C8×C83—21no—
793C8×C83—21no—
794C8×C83—21no—
795C8×C83—21no—
796C83⋊C8—21no—
797C83⋊C8—21no—
798C83⋊C8—21no—
799C83⋊C8—21no—
800C22×C83—21no—
801C22×C83—21no—
802C22×C83—21no—
803C22×C83—21no—
804C22×C83—21no—
805C22×C83—41no—
806C22×C83—41no—
807C22×C83—41no—
808C22×C83C2×AGL(1,ℤ/8)12yes—
809C22×C83C23×D411yescharacteristic
810C2×D83—21no—
811C2×D83—21no—
812C2×D83—22no—
813C2×D83—21no—
814C2×D83—41no—
815C2×D83—41no—
816C2×D83—41no—
817C2×D83—41no—
818C2×D83—41no—
819C2×D83—41no—
820C2×D83—41no—
821C2×D83—41no—
822C2×D83—84no—
823C2×D83—84no—
824C2×D83—84no—
825C4×C83—21no—
826C4×C83—21no—
827C4×C83—21no—
828C4×C83—21no—
829C4×C83—41no—
830C4×C83—41no—
831C4×C83—41no—
832C4×C83—41no—
833C4×C83—41no—
834C4×C83—41no—
835C4×C83—41no—
836C4×C83C2×2−1+411yescharacteristic
837C4×C83#58511yescharacteristic
838Dic83—21no—
839Dic83—21no—
840Dic83—21no—
841Dic83—21no—
842Dic83—21no—
843Dic83—41no—
844Dic83—41no—
845Dic83—41no—
846Dic83—41no—
847Dic83—41no—
848Dic83C2×AGL(1,ℤ/8)12yes—
849Dic83C2×AGL(1,ℤ/8)12yes—
850#62109—831nomaximal, Sylow
851C2×C83—22no—
852C2×C83—41no—
853C2×C83—81no—
854C2×C83#348911yescharacteristic
855C2×C83C22×AGL(1,ℤ/8)11yescharacteristic
856C2×C83#358611yescharacteristic
857D83—41no—
858D83—42no—
859D83—81no—
860D83—81no—
861#3509—831no—
862D4×#41—831no—
863#3386—831no—
864#3386—831no—
865#3368—831no—
866#3368—831no—
867#3353—831no—
868#3353—831no—
869#3343—831no—
870#3343—831no—
871#3343—831no—
872#3343D8311yescharacteristic, complemented
873#3324—831no—
874#3324—831no—
875#3310—831no—
876#3310—831no—
877#3310—831no—
878#3310—831no—
879#3254—831no—
880#3254—831no—
881#3246—831no—
882#3235—831no—
883#3235—831no—
884#3226—831no—
885#3110—831no—
886#3110—831no—
887#3101—831no—
888#3077—831no—
889#3077—831no—
890C2×#474—831no—
891#2989—831no—
892C83#6210911yescharacteristic, complemented, Sylow
893C22×#41—1661no—
894#557—831no—
895#557—831no—
896#557—1661no—
897#556—831no—
898#556—831no—
899#556—1661no—
900#552—831no—
901#552—831no—
902#552—831no—
903#552—1661no—
904#552—1661no—
905#552C2×D8311yescharacteristic, complemented
906#550—831no—
907D4×Q8—831no—
908#548—1661no—
909#547—831no—
910#547—831no—
911#547C2×D8311yescharacteristic
912#546—1661no—
913#546—1661no—
914#546—1661no—
915D42—831no—
916D42—831no—
917D42—831no—
918#541—1661no—
919#541—1661no—
920#536—1661no—
921#533—831no—
922#533—831no—
923#533—831no—
924#533—831no—
925#533—831no—
926#532—831no—
927#532—831no—
928#532—831no—
929C2×C4⋊Q8—831no—
930#525—1661no—
931#525—1661no—
932#525—1661no—
933#519—1661no—
934C4×#41—831no—
935C2×C4×D4—831no—
936C2×C4×D4—831no—
937C2×C4×D4—831no—
938#501—831no—
939#501—831no—
940#501—831no—
941#501C2×D8311yescharacteristic, complemented
942#500—831no—
943#500—831no—
944#490—831no—
945#490—831no—
946#490—831no—
947#490—831no—
948#486—831no—
949#486—831no—
950#484—831no—
951#484—831no—
952#484—831no—
953#484C2×D8311yescharacteristic, complemented
954#483—831no—
955#483C2×D8311yescharacteristic, complemented
956#482—831no—
957#482—831no—
958#482—831no—
959#482—831no—
960#482—831no—
961#482—831no—
962#482—831no—
963#482C2×D8311yescharacteristic, complemented
964#480—831no—
965#480—831no—
966#480—831no—
967#480C2×D8311yescharacteristic, complemented
968#478—831no—
969#478—831no—
970#478—831no—
971#478—831no—
972#478—831no—
973#478—831no—
974#478—831no—
975#478C2×D8311yescharacteristic, complemented
976#477—831no—
977#477—831no—
978#477—831no—
979#477C2×D8311yescharacteristic, complemented
980#476—831no—
981#476—831no—
982#476—831no—
983#476—831no—
984#475—831no—
985#475—831no—
986#474—831no—
987#474—831no—
988#474—831no—
989#474—831no—
990#474—831no—
991#474—831no—
992#474—831no—
993#474—831no—
994#474—831no—
995#474—831no—
996#474—831no—
997#474—831no—
998#468—831no—
999#468—831no—
1000#468—831no—
1001#468—831no—
1002#468—831no—
1003#468—831no—
1004#468—831no—
1005#468C2×D8311yescharacteristic, complemented
1006#465—831no—
1007#465—831no—
1008#465—831no—
1009#465C2×D8311yescharacteristic, complemented
1010#461—831no—
1011#461—831no—
1012#461—831no—
1013#461—831no—
1014#460—831no—
1015#460—831no—
1016#460—831no—
1017#460—831no—
1018#460—831no—
1019#460—831no—
1020#450—831no—
1021#450—831no—
1022#450—831no—
1023#450—831no—
1024#450—831no—
1025#450—831no—
1026#446—831no—
1027#446—831no—
1028#440—831no—
1029#440—831no—
1030#440—831no—
1031#440—831no—
1032#440—831no—
1033#440—831no—
1034#440—831no—
1035#440C2×D8311yescharacteristic, complemented
1036C4×SD16—831no—
1037C4×SD16—831no—
1038C4×SD16—831no—
1039C4×SD16—831no—
1040#436—831no—
1041#436—831no—
1042#435—831no—
1043#435—831no—
1044#435—831no—
1045#435C2×D8311yescharacteristic, complemented
1046#432—831no—
1047#432—831no—
1048#431—831no—
1049#428—831no—
1050#428—831no—
1051#428—831no—
1052#428C2×D8311yescharacteristic, complemented
1053C2×#107—831no—
1054C2×#107C2×D8311yescharacteristic, complemented
1055#423—831no—
1056#423—831no—
1057C2×C4⋊C8—831no—
1058#418—831no—
1059#418—831no—
1060#418—831no—
1061#418—831no—
1062C2×#102—831no—
1063C2×#102—831no—
1064C2×#41—21no—
1065C2×#41—3328no—
1066C2×#41—831no—
1067C2×#41—1661no—
1068C2×#41—1661no—
1069C2×#41—1661no—
1070C2×#41—1661no—
1071C2×#41—1661no—
1072C2×#41—1661no—
1073C22×Q8—1661no—
1074C22×Q8—1661no—
1075C22×D4—831no—
1076C22×D4—831no—
1077C22×D4—831no—
1078C22×D4—1661no—
1079C22×D4—1661no—
1080C22×D4—1661no—
1081C23×C4—1661no—
1082C23×C4—1661no—
1083C23×C4—1661no—
1084C2×SD16—831no—
1085C2×SD16—831no—
1086C2×SD16—831no—
1087C2×SD16—831no—
1088C2×SD16—831no—
1089C2×SD16—831no—
1090C2×SD16—831no—
1091C2×SD16C22×D8311yescharacteristic
1092C2×M16—831no—
1093C2×M16—831no—
1094C2×M16—831no—
1095C2×M16C22×D8311yescharacteristic
1096C22×C8—831no—
1097C22×C8C22×D8311yescharacteristic
1098C4⋊Q8—831no—
1099C4⋊Q8—831no—
1100C4⋊Q8—831no—
1101C4⋊Q8—831no—
1102C4⋊Q8—831no—
1103C4⋊Q8—831no—
1104C4⋊Q8—831no—
1105C4⋊Q8—831no—
1106C4⋊Q8—1661no—
1107C4⋊Q8—1661no—
1108C4⋊Q8—1661no—
1109C4⋊Q8—1661no—
1110C4⋊Q8C22×D8311yescharacteristic
1111#127—831no—
1112#127—831no—
1113#127—831no—
1114#126—21no—
1115#126—1661no—
1116#126—1661no—
1117#126—1661no—
1118#126—1661no—
1119#126—1661no—
1120#126—1661no—
1121#126—1661no—
1122#125—21no—
1123#125—831no—
1124#125—831no—
1125#125—831no—
1126#125—1661no—
1127#125—1661no—
1128#125—1661no—
1129#125—1661no—
1130#125—1661no—
1131#125—1661no—
1132#125—1661no—
1133#125—1661no—
1134#125—1661no—
1135#125—1661no—
1136#125C22×D8311yescharacteristic
1137#124—1661no—
1138#124—1661no—
1139#124—1661no—
1140#124—1661no—
1141#124—1661no—
1142#123—21no—
1143#123—21no—
1144#123—21no—
1145#123—1661no—
1146#123—1661no—
1147#123—1661no—
1148#123—1661no—
1149#123—1661no—
1150#123—1661no—
1151#123—1661no—
1152C22⋊Q8—21no—
1153C22⋊Q8—831no—
1154C22⋊Q8—831no—
1155C22⋊Q8—831no—
1156C22⋊Q8—831no—
1157C22⋊Q8—1661no—
1158C22⋊Q8—1661no—
1159C22⋊Q8—1661no—
1160C22⋊Q8—1661no—
1161C22⋊Q8—1661no—
1162C22⋊Q8—1661no—
1163C22⋊Q8—1661no—
1164C22⋊Q8—1661no—
1165C22⋊Q8—1661no—
1166C22⋊Q8—1661no—
1167C22⋊Q8—1661no—
1168C22⋊Q8—1661no—
1169C22⋊Q8C22×D8311yescharacteristic
1170C22⋊Q8C22×D8311yescharacteristic
1171#121—831no—
1172#121—831no—
1173#121—831no—
1174#121—831no—
1175#121—1661no—
1176#121—1661no—
1177#121—1661no—
1178#121—1661no—
1179#121—1661no—
1180#121—1661no—
1181#121—1661no—
1182#121—1661no—
1183#121—1661no—
1184#121C22×D8311yescharacteristic
1185#121C22×D8311yescharacteristic
1186#120—1661no—
1187#120—1661no—
1188#120—1661no—
1189#120—1661no—
1190#120—1661no—
1191#120—1661no—
1192C4×Q8—831no—
1193C4×Q8—831no—
1194C4×Q8—831no—
1195C4×Q8—831no—
1196C4×Q8—831no—
1197C4×Q8—831no—
1198C4×Q8—831no—
1199C4×Q8—1661no—
1200C4×Q8—1661no—
1201C4×Q8—1661no—
1202C4×Q8—1661no—
1203C4×Q8—1661no—
1204C4×Q8—1661no—
1205C4×Q8—1661no—
1206C4×Q8—1661no—
1207C4×Q8—1661no—
1208C4×Q8—1661no—
1209C4×Q8—1661no—
1210C4×Q8C22×D8311yescharacteristic
1211C4×D4—831no—
1212C4×D4—831no—
1213C4×D4—831no—
1214C4×D4—831no—
1215C4×D4—831no—
1216C4×D4—831no—
1217C4×D4—831no—
1218C4×D4—831no—
1219C4×D4—831no—
1220C4×D4—831no—
1221C4×D4—831no—
1222C4×D4—831no—
1223C4×D4—831no—
1224C4×D4—831no—
1225C4×D4—1661no—
1226C4×D4—1661no—
1227C4×D4—1661no—
1228C4×D4—1661no—
1229C4×D4—1661no—
1230C4×D4—1661no—
1231C4×D4—1661no—
1232C4×D4—1661no—
1233C4×D4—1661no—
1234C4×D4C22×D8311yescharacteristic
1235C4×D4C22×D8311yescharacteristic
1236#117—21no—
1237#117—831no—
1238#117—831no—
1239#117—831no—
1240#117—831no—
1241#117—831no—
1242#117—831no—
1243#117—1661no—
1244#117—1661no—
1245#117—1661no—
1246#117—1661no—
1247#117—1661no—
1248#117—1661no—
1249#117C22×D8311yescharacteristic
1250C2×C4⋊C4—831no—
1251C2×C4⋊C4—831no—
1252C2×C4⋊C4—1661no—
1253C2×C4⋊C4C22×D8311yescharacteristic
1254C2×C4⋊C4C22×D8311yescharacteristic
1255C2×C4⋊C4C22×D8311yescharacteristic
1256C2×C22⋊C4—1661no—
1257C2×C22⋊C4—1661no—
1258C2×C22⋊C4—1661no—
1259C2×C42—831no—
1260C2×C42—831no—
1261C2×C42—831no—
1262#107—831no—
1263#107—831no—
1264#107—831no—
1265#107—831no—
1266#107—831no—
1267#107—831no—
1268#107—831no—
1269#107—831no—
1270#107—831no—
1271#107—831no—
1272#107C22×D8311yescharacteristic
1273#107C22×D8311yescharacteristic
1274#107C22×D8311yescharacteristic
1275#107C22×D8311yescharacteristic
1276#107C22×D8311yescharacteristic
1277#107C22×D8311yescharacteristic
1278#106—831no—
1279#106—831no—
1280#106—831no—
1281#106—831no—
1282#106—831no—
1283#106C22×D8311yescharacteristic
1284#106C22×D8311yescharacteristic
1285#106C22×D8311yescharacteristic
1286C4⋊C8—831no—
1287C4⋊C8—831no—
1288C4⋊C8—831no—
1289C4⋊C8—831no—
1290C4⋊C8—831no—
1291C4⋊C8—831no—
1292C4⋊C8—831no—
1293C4⋊C8—831no—
1294C4⋊C8—831no—
1295C4⋊C8C22×D8311yescharacteristic
1296#103—831no—
1297#103—831no—
1298#103—831no—
1299#103—831no—
1300#103—831no—
1301#103C22×D8311yescharacteristic
1302#103C22×D8311yescharacteristic
1303#103C22×D8311yescharacteristic
1304#102—831no—
1305#102—831no—
1306#102—831no—
1307#102—831no—
1308#102—831no—
1309#102—831no—
1310#102—831no—
1311#102—831no—
1312#102—831no—
1313#102—831no—
1314#102—831no—
1315#102—831no—
1316#102—831no—
1317#102—831no—
1318#102—831no—
1319#102—831no—
1320#102—831no—
1321#102—831no—
1322#102—831no—
1323#102—831no—
1324#102—831no—
1325#102C22×D8311yescharacteristic
1326#102C22×D8311yescharacteristic
1327#102C22×D8311yescharacteristic
1328C22⋊C8—831no—
1329C22⋊C8—831no—
1330C22⋊C8—831no—
1331C22⋊C8—831no—
1332C22⋊C8C22×D8311yescharacteristic
1333C22⋊C8C22×D8311yescharacteristic
1334#97—831no—
1335#97—831no—
1336#97—831no—
1337#97C22×D8311yescharacteristic
1338C4×C8—831no—
1339C4×C8—831no—
1340C24—1661no—
1341C24—1661no—
1342C24—1661no—
1343#41—44no—
1344#41—3324no—
1345#41—3324no—
1346#41—3324no—
1347#41—3324no—
1348#41—3324no—
1349#41—3324no—
1350#41—1664no—
1351C2×Q8—21no—
1352C2×Q8—3324no—
1353C2×Q8—3324no—
1354C2×Q8—831no—
1355C2×Q8—831no—
1356C2×Q8—1661no—
1357C2×Q8—1661no—
1358C2×Q8—1661no—
1359C2×Q8—1661no—
1360C2×Q8—1661no—
1361C2×Q8—1661no—
1362C2×Q8—1661no—
1363C2×Q8C23×D8311yescharacteristic
1364C2×D4—21no—
1365C2×D4—21no—
1366C2×D4—3321no—
1367C2×D4—3321no—
1368C2×D4—3324no—
1369C2×D4—3324no—
1370C2×D4—3324no—
1371C2×D4—3321no—
1372C2×D4—831no—
1373C2×D4—831no—
1374C2×D4—831no—
1375C2×D4—831no—
1376C2×D4—831no—
1377C2×D4—1661no—
1378C2×D4—1661no—
1379C2×D4—1662no—
1380C2×D4—1662no—
1381C2×D4—1661no—
1382C2×D4—1661no—
1383C2×D4—1661no—
1384C2×D4—1661no—
1385C2×D4—1661no—
1386C2×D4—1662no—
1387C2×D4—1661no—
1388C2×D4—1661no—
1389C2×D4—1661no—
1390C2×D4—1661no—
1391C2×D4—1661no—
1392C2×D4—1661no—
1393C2×D4D4×D8311yescharacteristic
1394C2×D4C23×D8311yescharacteristic
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—3324no—
1400C22×C4—3324no—
1401C22×C4—3324no—
1402C22×C4—831no—
1403C22×C4—831no—
1404C22×C4—831no—
1405C22×C4—831no—
1406C22×C4—831no—
1407C22×C4—831no—
1408C22×C4—831no—
1409C22×C4—1661no—
1410C22×C4—1661no—
1411C22×C4—1661no—
1412C22×C4—1661no—
1413C22×C4—1661no—
1414C22×C4—1661no—
1415C22×C4—1661no—
1416C22×C4—1661no—
1417C22×C4—1661no—
1418C22×C4—1661no—
1419C22×C4—1661no—
1420C22×C4C23×D8311yescharacteristic
1421C22×C4C23×D8311yescharacteristic
1422SD16—41no—
1423SD16—3321no—
1424SD16—3321no—
1425SD16—3321no—
1426SD16—3321no—
1427SD16—3321no—
1428SD16—1662no—
1429SD16—1662no—
1430M16—41no—
1431M16—3321no—
1432M16—3321no—
1433M16—3321no—
1434C2×C8—41no—
1435C2×C8—3321no—
1436C2×C8—831no—
1437C2×C8—831no—
1438C2×C8—831no—
1439C2×C8—831no—
1440C2×C8C23×D8311yescharacteristic
1441C2×C8C23×D8311yescharacteristic
1442C2×C8C23×D8311yescharacteristic
1443C2×C8C23×D8311yescharacteristic
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—831no—
1454C4⋊C4—831no—
1455C4⋊C4—831no—
1456C4⋊C4—831no—
1457C4⋊C4—831no—
1458C4⋊C4—831no—
1459C4⋊C4—831no—
1460C4⋊C4—831no—
1461C4⋊C4—831no—
1462C4⋊C4—1661no—
1463C4⋊C4—1661no—
1464C4⋊C4—1661no—
1465C4⋊C4—1661no—
1466C4⋊C4—1661no—
1467C4⋊C4—1661no—
1468C4⋊C4—1661no—
1469C4⋊C4—1661no—
1470C4⋊C4—1661no—
1471C4⋊C4—1661no—
1472C4⋊C4—1661no—
1473C4⋊C4—1661no—
1474C4⋊C4—1661no—
1475C4⋊C4—1661no—
1476C4⋊C4—1661no—
1477C4⋊C4—1661no—
1478C4⋊C4—1661no—
1479C4⋊C4—1661no—
1480C4⋊C4—1661no—
1481C4⋊C4—1661no—
1482C4⋊C4—1661no—
1483C4⋊C4—1661no—
1484C4⋊C4—1661no—
1485C4⋊C4—1661no—
1486C4⋊C4—1661no—
1487C4⋊C4—1661no—
1488C4⋊C4D4×D8311yescharacteristic
1489C4⋊C4C23×D8311yescharacteristic
1490C4⋊C4C23×D8311yescharacteristic
1491C4⋊C4C23×D8311yescharacteristic
1492C4⋊C4C23×D8311yescharacteristic
1493C4⋊C4C23×D8311yescharacteristic
1494C4⋊C4C23×D8311yescharacteristic
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—831no—
1502C22⋊C4—831no—
1503C22⋊C4—831no—
1504C22⋊C4—831no—
1505C22⋊C4—1661no—
1506C22⋊C4—1661no—
1507C22⋊C4—1661no—
1508C22⋊C4—1661no—
1509C22⋊C4—1661no—
1510C22⋊C4—1661no—
1511C22⋊C4—1661no—
1512C22⋊C4—1661no—
1513C22⋊C4—1661no—
1514C22⋊C4—1661no—
1515C22⋊C4—1661no—
1516C22⋊C4—1661no—
1517C22⋊C4—1661no—
1518C22⋊C4—1661no—
1519C22⋊C4—1661no—
1520C22⋊C4—1661no—
1521C22⋊C4—1661no—
1522C22⋊C4—1661no—
1523C22⋊C4—1661no—
1524C22⋊C4—1661no—
1525C22⋊C4D4×D8311yescharacteristic
1526C22⋊C4D4×D8311yescharacteristic
1527C42—21no—
1528C42—21no—
1529C42—831no—
1530C42—831no—
1531C42—831no—
1532C42—831no—
1533C42—831no—
1534C42—831no—
1535C42—831no—
1536C42—831no—
1537C42—831no—
1538C42—1661no—
1539C42—1661no—
1540C42—1661no—
1541C42—1661no—
1542C42—1661no—
1543C42—1661no—
1544C42—1661no—
1545C42—1661no—
1546C42C23×D8311yescharacteristic
1547C23—21no—
1548C23—3322no—
1549C23—3322no—
1550C23—3322no—
1551C23—3322no—
1552C23—3322no—
1553C23—3322no—
1554C23—831no—
1555C23—6641no—
1556C23—6641no—
1557C23—6641no—
1558C23—1661no—
1559C23—1661no—
1560C23—1661no—
1561C23C2×D4×D8311yescharacteristic
1562C23C2×D4×D8311yescharacteristic
1563Q8—21no—
1564Q8—21no—
1565Q8—42no—
1566Q8—3322no—
1567Q8—3322no—
1568Q8—3322no—
1569Q8—3322no—
1570Q8—3322no—
1571Q8—3322no—
1572Q8—3322no—
1573Q8—1662no—
1574Q8—1661no—
1575Q8—1661no—
1576D4—22no—
1577D4—21no—
1578D4—21no—
1579D4—42no—
1580D4—42no—
1581D4—3322no—
1582D4—3322no—
1583D4—3322no—
1584D4—3322no—
1585D4—3322no—
1586D4—3322no—
1587D4—3322no—
1588D4—3322no—
1589D4—3322no—
1590D4—3322no—
1591D4—832no—
1592D4—6641no—
1593D4—6641no—
1594D4—6641no—
1595D4—1662no—
1596D4—1662no—
1597D4—1661no—
1598D4—1661no—
1599D4—1661no—
1600D4—1661no—
1601D4—1661no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—42no—
1614C2×C4—42no—
1615C2×C4—42no—
1616C2×C4—42no—
1617C2×C4—3322no—
1618C2×C4—3321no—
1619C2×C4—3322no—
1620C2×C4—3322no—
1621C2×C4—3322no—
1622C2×C4—3322no—
1623C2×C4—3322no—
1624C2×C4—3322no—
1625C2×C4—3322no—
1626C2×C4—3322no—
1627C2×C4—3322no—
1628C2×C4—3322no—
1629C2×C4—3321no—
1630C2×C4—3321no—
1631C2×C4—834no—
1632C2×C4—831no—
1633C2×C4—831no—
1634C2×C4—831no—
1635C2×C4—831no—
1636C2×C4—831no—
1637C2×C4—831no—
1638C2×C4—831no—
1639C2×C4—1662no—
1640C2×C4—1661no—
1641C2×C4—1661no—
1642C2×C4—1661no—
1643C2×C4—1661no—
1644C2×C4—1661no—
1645C2×C4—1662no—
1646C2×C4—1661no—
1647C2×C4—1661no—
1648C2×C4C2×D4×D8311yescharacteristic
1649C2×C4C2×D4×D8311yescharacteristic
1650C2×C4C2×D4×D8311yescharacteristic
1651C2×C4C2×D4×D8311yescharacteristic
1652C2×C4C24×D8311yescharacteristic
1653C8—21no—
1654C8—21no—
1655C8—21no—
1656C8—21no—
1657C8—1661no—
1658C8—1661no—
1659C8—1661no—
1660C8—1661no—
1661C22—21no—
1662C22—21no—
1663C22—21no—
1664C22—21no—
1665C22—21no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—3321no—
1670C22—3321no—
1671C22—3321no—
1672C22—3321no—
1673C22—3321no—
1674C22—3321no—
1675C22—3321no—
1676C22—3321no—
1677C22—6644no—
1678C22—6644no—
1679C22—6644no—
1680C22—1661no—
1681C22—1662no—
1682C22—1661no—
1683C22—1661no—
1684C22AGL(1,ℤ/8)×D8312yes—
1685C22C22×D4×D8311yescharacteristic
1686C4—21no—
1687C4—21no—
1688C4—21no—
1689C4—21no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—3321no—
1698C4—3321no—
1699C4—3321no—
1700C4—3321no—
1701C4—3321no—
1702C4—832no—
1703C4—832no—
1704C4—1661no—
1705C4—1661no—
1706C4—1661no—
1707C4—1661no—
1708C4—1661no—
1709C42−1+4×D8311yescharacteristic
1710C4#1912853711yescharacteristic
1711C2—22no—
1712C2—41no—
1713C2—81no—
1714C2—3322no—
1715C2—3321no—
1716C2—6641no—
1717C2—6641no—
1718C2#2492113711yescharacteristic
1719C2C2×AGL(1,ℤ/8)×D8311yescharacteristic
1720C2#2492224811yescharacteristic
subgroupG/H
centerC22C22×D4×D83
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC83×#3343C2
socleC22×C83C23×D4
prime radical#24920950C2
hypercenter#3343D83
hypocenterC83#62109
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3343

Complements

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

NH ≅ G/Ntype
1. #24921341C2semidirect
3. #24920387C2semidirect
4. #24920381C2semidirect
5. #24920195C2semidirect
6. #24920193C2semidirect
7. #24920043C2semidirect
8. #24920040C2semidirect
9. #24919901C2semidirect
10. #24919899C2semidirect
11. #24919897C2semidirect
12. #24919692C2semidirect
13. #24919689C2semidirect
14. #24919490C2semidirect
15. #24919486C2semidirect
16. #24919482C2semidirect
17. #24919478C2semidirect
18. #24918849C2semidirect
19. #24918845C2semidirect
20. #24918774C2semidirect
21. #24918662C2semidirect
22. #24918658C2semidirect
23. #24918582C2semidirect
24. #24917560C2semidirect
25. #24917559C2semidirect
26. #24917468C2semidirect
27. #24917259C2semidirect
28. #24917258C2semidirect
29. C2×#19127980C2semidirect
30. #24916575C2semidirect
31. C83×#3343C2semidirect
34. #19128428C22semidirect
35. #19128427C22semidirect
36. #19128422C22semidirect
37. #19128419C22semidirect
39. #19128393C22semidirect
40. #19128391C22semidirect
42. #19128386C22semidirect
58. #19128257C22semidirect
59. #19128255C22semidirect
60. #19128254C22semidirect
61. #19128253C22semidirect
62. #19128253C22semidirect
66. C2×#14581791C22semidirect
75. #19128109C22semidirect
76. #19128108C22semidirect
77. #19128107C22semidirect
78. #19128105C22semidirect
79. #19128105C22semidirect
80. #19128067C22semidirect
81. #19128066C22semidirect
82. #19128064C22semidirect
83. #19128064C22semidirect
84. #19128046C22semidirect
85. #19128046C22semidirect
86. #19128038C22semidirect
87. #19128036C22semidirect
88. #19128035C22semidirect
89. #19128031C22semidirect
90. #19128028C22semidirect
91. #19128028C22semidirect
92. #19128027C22semidirect
93. #19128027C22semidirect
94. #19128026C22semidirect
95. #19128025C22semidirect
96. #19128022C22semidirect
97. #19128015C22semidirect
98. #19128014C22semidirect
99. #19128012C22semidirect
101. #19128004C22semidirect
103. #19128001C22semidirect
105. #19128000C22semidirect
107. #19127995C22semidirect
108. #19127994C22semidirect
109. #19127993C22semidirect
111. #19127990C22semidirect
112. #19127990C22semidirect
113. #19127989C22semidirect
114. #19127985C22semidirect
115. #19127984C22semidirect
120. #19127980C22semidirect
121. #19127980C22semidirect
122. #19127980C22semidirect
123. #19127980C22semidirect
124. #19127980C22semidirect
125. #19127980C22semidirect
126. #19127979C22semidirect
127. #19127979C22semidirect
128. #19127950C22semidirect
129. #19127950C22semidirect
130. #19127949C22semidirect
131. #19127948C22semidirect
132. #19127948C22semidirect
133. #19127947C22semidirect
134. #19127945C22semidirect
135. #19127932C22semidirect
136. #19127930C22semidirect
137. #19127928C22semidirect
139. #19127905C22semidirect
140. #19127905C22semidirect
141. #19127904C22semidirect
142. #19127902C22semidirect
143. #19127901C22semidirect
144. #19127900C22semidirect
145. #19127900C22semidirect
146. #19127899C22semidirect
147. #19127899C22semidirect
154. #19127830C22semidirect
155. #19127829C22semidirect
157. #19127804C22semidirect
159. #19127801C22semidirect
161. #19127800C22semidirect
164. #19127788C22semidirect
166. #19127786C22semidirect
167. #19127777C22semidirect
168. #19127776C22semidirect
169. #19127773C22semidirect
170. #19127772C22semidirect
171. #19127769C22semidirect
172. #19127756C22semidirect
173. #19127755C22semidirect
174. #19127751C22semidirect
175. #19127742C22semidirect
176. #19127741C22semidirect
177. #19127740C22semidirect
178. C2×#14581725C22semidirect
179. #19127724C22semidirect
180. #19127723C22semidirect
181. C2×Dic83⋊C8C22semidirect
188. #552×C83C22semidirect
190. #501×C83C22semidirect
191. #484×C83C22semidirect
192. #483×C83C22semidirect
193. #482×C83C22semidirect
194. #480×C83C22semidirect
195. #478×C83C22semidirect
196. #477×C83C22semidirect
197. #468×C83C22semidirect
198. #465×C83C22semidirect
199. #440×C83C22semidirect
200. #435×C83C22semidirect
201. #428×C83C22semidirect
202. C2×#107×C83C22semidirect
872. #3343D83semidirect
892. C83#62109semidirect
905. #552C2×D83semidirect
941. #501C2×D83semidirect
953. #484C2×D83semidirect
955. #483C2×D83semidirect
963. #482C2×D83semidirect
967. #480C2×D83semidirect
975. #478C2×D83semidirect
979. #477C2×D83semidirect
1005. #468C2×D83semidirect
1009. #465C2×D83semidirect
1035. #440C2×D83semidirect
1045. #435C2×D83semidirect
1052. #428C2×D83semidirect
1054. C2×#107C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249213412
#249209502
#249203872
#249203812
#249201952
#249201932
#249200432
#249200402
#249199012
#249198992
#249198972
#249196922
#249196892
#249194902
#249194862
#249194822
#249194782
#249188492
#249188452
#249187742
#249186622
#249186582
#249185822
#249175602
#249175592
#249174682
#249172592
#249172582
C2×#191279802
#249165752
C83×#33432
#6210983