Finite Group Databasebeta

← #36287158

Subgroups — #36287158

Order 21248.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24921398C211yesmaximal, characteristic, complemented
2#24921388C211yesmaximal, characteristic, complemented
3#24920546C211yesmaximal, characteristic, complemented
4#24920416C211yesmaximal, characteristic, complemented
5#24920128C211yesmaximal, characteristic, complemented
6#24920124C211yesmaximal, characteristic, complemented
7#24920069C211yesmaximal, characteristic, complemented
8#24919907C211yesmaximal, characteristic, complemented
9#24919897C211yesmaximal, characteristic, complemented
10#24919309C211yesmaximal, characteristic, complemented
11#24919308C211yesmaximal, characteristic, complemented
12#24919300C211yesmaximal, characteristic, complemented
13#24919294C211yesmaximal, characteristic, complemented
14#24919271C211yesmaximal, characteristic, complemented
15#24919074C211yesmaximal, characteristic, complemented
16#24918939C211yesmaximal, characteristic, complemented
17#24918936C211yesmaximal, characteristic, complemented
18#24918153C211yesmaximal, characteristic, complemented
19#24918149C211yesmaximal, characteristic, complemented
20#24918028C211yesmaximal, characteristic, complemented
21#24917730C211yesmaximal, characteristic, complemented
22#24917720C211yesmaximal, characteristic, complemented
23#24917704C211yesmaximal, characteristic, complemented
24#24917700C211yesmaximal, characteristic, complemented
25#24917598C211yesmaximal, characteristic, complemented
26#24917596C211yesmaximal, characteristic, complemented
27#24916431C211yesmaximal, characteristic, complemented
28#24916289C211yesmaximal, characteristic, complemented
29#24916288C211yesmaximal, characteristic, complemented
30C2×#19127781C211yesmaximal, characteristic, complemented
31C83×#3294C211yesmaximal, characteristic, complemented
32C2×#14581818C2211yescharacteristic
33C2×#14581816C2211yescharacteristic
34C22×#13050575C2211yescharacteristic
35#19128437C2211yescharacteristic, complemented
36#19128434C2211yescharacteristic, complemented
37#19128412C2211yescharacteristic, complemented
38#19128410C2211yescharacteristic, complemented
39#19128399C2211yescharacteristic, complemented
40#19128398C2211yescharacteristic, complemented
41#19128396—21no—
42#19128394—21no—
43#19128391C2211yescharacteristic, complemented
44#19128386C2211yescharacteristic, complemented
45#19128382—21no—
46#19128382—21no—
47#19128378—21no—
48#19128374—21no—
49#19128351C2211yescharacteristic
50#19128348C2211yescharacteristic, complemented
51#19128347C2211yescharacteristic
52#19128345—21no—
53#19128345C2211yescharacteristic
54#19128345C2211yescharacteristic, complemented
55#19128339—21no—
56#19128335C2211yescharacteristic, complemented
57#19128325C2211yescharacteristic, complemented
58#19128318C2211yescharacteristic, complemented
59#19128305C2211yescharacteristic, complemented
60#19128304C2211yescharacteristic, complemented
61#19128297—21no—
62#19128296—21no—
63#19128287—21no—
64#19128286—21no—
65#19128232C2211yescharacteristic, complemented
66#19128232C2211yescharacteristic, complemented
67#19128231C2211yescharacteristic
68#19128208—21no—
69#19128207—21no—
70C2×#14581773—21no—
71#123×D83—21no—
72#19128182C2211yescharacteristic, complemented
73#19128180C2211yescharacteristic, complemented
74#19128176C2211yescharacteristic, complemented
75#19128173C2211yescharacteristic, complemented
76C2×D4×Dic83C2211yescharacteristic, complemented
77C2×#14581754C2211yescharacteristic, complemented
78#19128109C2211yescharacteristic, complemented
79#19128107C2211yescharacteristic, complemented
80#19128102C2211yescharacteristic, complemented
81#19128089C2211yescharacteristic, complemented
82#19128088C2211yescharacteristic, complemented
83#19128084C2211yescharacteristic, complemented
84#19128056C2211yescharacteristic, complemented
85#19128054C2211yescharacteristic, complemented
86#19128054C2211yescharacteristic, complemented
87#19128054C2211yescharacteristic, complemented
88#19128046C2211yescharacteristic, complemented
89#19128038C2211yescharacteristic, complemented
90#19128036C2211yescharacteristic, complemented
91#19128032C2211yescharacteristic, complemented
92#19128031C2211yescharacteristic, complemented
93#19128026C2211yescharacteristic, complemented
94#19128024C2211yescharacteristic, complemented
95#19128023C2211yescharacteristic, complemented
96#19128022C2211yescharacteristic, complemented
97#19128016C2211yescharacteristic, complemented
98#19128012C2211yescharacteristic, complemented
99#19128004C2211yescharacteristic, complemented
100#19128004C2211yescharacteristic, complemented
101#19128003C2211yescharacteristic, complemented
102#19128003C2211yescharacteristic, complemented
103#19128003C2211yescharacteristic, complemented
104#19128002C2211yescharacteristic, complemented
105#19128001C2211yescharacteristic, complemented
106#19127999C2211yescharacteristic, complemented
107#19127995C2211yescharacteristic, complemented
108#19127993C2211yescharacteristic, complemented
109#19127980C2211yescharacteristic, complemented
110#19127953C2211yescharacteristic, complemented
111#19127952C2211yescharacteristic, complemented
112#19127946C2211yescharacteristic, complemented
113#19127945C2211yescharacteristic, complemented
114#19127942C2211yescharacteristic, complemented
115#19127936C2211yescharacteristic, complemented
116#19127930C2211yescharacteristic, complemented
117#19127929C2211yescharacteristic, complemented
118#19127928C2211yescharacteristic, complemented
119#19127928C2211yescharacteristic, complemented
120#19127924C2211yescharacteristic, complemented
121#19127922C2211yescharacteristic, complemented
122#19127916C2211yescharacteristic, complemented
123#19127915C2211yescharacteristic, complemented
124#19127915C2211yescharacteristic, complemented
125#19127915C2211yescharacteristic, complemented
126#19127914C2211yescharacteristic, complemented
127#19127914C2211yescharacteristic, complemented
128#19127894C2211yescharacteristic
129#19127894C2211yescharacteristic, complemented
130#19127893C2211yescharacteristic
131#19127865C2211yescharacteristic, complemented
132#19127864C2211yescharacteristic, complemented
133#19127854C2211yescharacteristic, complemented
134#19127852C2211yescharacteristic, complemented
135#19127847C2211yescharacteristic
136#19127844C2211yescharacteristic
137#19127835C2211yescharacteristic, complemented
138#19127834C2211yescharacteristic
139#19127833C2211yescharacteristic, complemented
140#19127833C2211yescharacteristic, complemented
141#19127830C2211yescharacteristic, complemented
142C8×Dic166C2211yescharacteristic, complemented
143#19127813C2211yescharacteristic, complemented
144#19127813C2211yescharacteristic, complemented
145#19127811C2211yescharacteristic
146#19127810C2211yescharacteristic
147#19127810C2211yescharacteristic, complemented
148#19127810C2211yescharacteristic, complemented
149#19127801C2211yescharacteristic, complemented
150#19127800C2211yescharacteristic, complemented
151#19127800C2211yescharacteristic, complemented
152#19127798C2211yescharacteristic, complemented
153#19127798C2211yescharacteristic, complemented
154#19127798C2211yescharacteristic, complemented
155#19127795C2211yescharacteristic, complemented
156#19127792C2211yescharacteristic, complemented
157#19127792C2211yescharacteristic, complemented
158#19127792C2211yescharacteristic, complemented
159C4×#13050579C2211yescharacteristic, complemented
160D8×Dic83C2211yescharacteristic, complemented
161#19127781C2211yescharacteristic
162#19127781C2211yescharacteristic
163#19127781C2211yescharacteristic, complemented
164#19127781C2211yescharacteristic, complemented
165#19127781C2211yescharacteristic, complemented
166#19127781C2211yescharacteristic, complemented
167#19127781C2211yescharacteristic, complemented
168#19127781C2211yescharacteristic, complemented
169#19127781C2211yescharacteristic, complemented
170#19127776C2211yescharacteristic, complemented
171#19127773C2211yescharacteristic, complemented
172#19127769C2211yescharacteristic, complemented
173C8×C22⋊D83C2211yescharacteristic, complemented
174C8×C22⋊D83C2211yescharacteristic, complemented
175#19127761C2211yescharacteristic, complemented
176#19127759C2211yescharacteristic, complemented
177#19127755C2211yescharacteristic, complemented
178#19127742C2211yescharacteristic, complemented
179#19127741C2211yescharacteristic, complemented
180C2×#14581725C2211yescharacteristic, complemented
181#19127698C2211yescharacteristic, complemented
182#19127694C2211yescharacteristic, complemented
183C2×#14581714C2211yescharacteristic, complemented
184#102×D83C2211yescharacteristic, complemented
185#19127656C2211yescharacteristic, complemented
186#19127655C2211yescharacteristic, complemented
187C2×C8×Dic83C2211yescharacteristic, complemented
188#547×C83C2211yescharacteristic
189D42×C83C2211yescharacteristic, complemented
190#486×C83C2211yescharacteristic, complemented
191#480×C83C2211yescharacteristic, complemented
192#480×C83C2211yescharacteristic, complemented
193#474×C83C2211yescharacteristic, complemented
194#466×C83C2211yescharacteristic
195#466×C83C2211yescharacteristic, complemented
196#459×C83C2211yescharacteristic, complemented
197#447×C83C2211yescharacteristic
198#447×C83C2211yescharacteristic, complemented
199C4×D8×C83C2211yescharacteristic, complemented
200C8×D4×C83C2211yescharacteristic, complemented
201C2×#102×C83C2211yescharacteristic, complemented
202C2×#102×C83C2211yescharacteristic, complemented
203C2×#13050590C2311yescharacteristic
204C2×#13050589—21no—
205C2×#13050589C2311yescharacteristic
206C22×D332C2311yescharacteristic
207C2×D4×D83—21no—
208C2×D4×D83C2311yescharacteristic
209C23×Dic83—21no—
210C22×C4×D83—21no—
211#14581818—24no—
212#14581816—24no—
213C2×Dic332C2311yescharacteristic
214C2×#13050579C2311yescharacteristic
215C2×#13050579C2311yescharacteristic
216C2×#13050578C2311yescharacteristic
217C2×#13050578C2311yescharacteristic
218C2×#13050578C2311yescharacteristic
219C2×#13050578C2311yescharacteristic
220C2×#13050575—24no—
221C2×#13050575C2311yescharacteristic
222C2×#13050575C2311yescharacteristic
223C2×#13050575C2311yescharacteristic
224C2×#13050575C2311yescharacteristic
225C2×#13050575C2311yescharacteristic
226C2×#13050575C2311yescharacteristic
227C2×#13050574C2311yescharacteristic
228C2×#13050573C2311yescharacteristic
229C22×C83⋊C8C2311yescharacteristic
230C2×C8×D83C2311yescharacteristic
231#14581791C2311yescharacteristic
232#14581788C2311yescharacteristic
233#14581787—21no—
234#14581787—21no—
235#14581787—21no—
236#14581787D411yescharacteristic
237#14581785—21no—
238#14581785—21no—
239#14581785—21no—
240#14581785—21no—
241#14581785—21no—
242#14581785D411yescharacteristic
243#14581784C2311yescharacteristic
244#14581783C2311yescharacteristic
245#14581783C2311yescharacteristic
246#14581783C2311yescharacteristic
247#14581782—21no—
248#14581782—21no—
249#14581782D411yescharacteristic
250#14581781—21no—
251#14581780C2311yescharacteristic
252#14581779—21no—
253#14581779—21no—
254#14581779C2311yescharacteristic
255#14581779C2311yescharacteristic
256#14581779C2311yescharacteristic
257#14581778—21no—
258#14581778D411yescharacteristic
259#14581777—21no—
260#14581777—21no—
261#14581777—21no—
262#14581776—21no—
263#14581776D411yescharacteristic
264#14581775—21no—
265#14581775—21no—
266#14581774—21no—
267#14581774—21no—
268#14581774—21no—
269#14581774—21no—
270#14581773—21no—
271#14581773—21no—
272#14581773—21no—
273#14581773—21no—
274#14581773—21no—
275#14581773—21no—
276#14581773—21no—
277#14581773—21no—
278#14581773—21no—
279#14581773—21no—
280#14581773—21no—
281#14581773—21no—
282#14581773D411yescharacteristic
283#14581772—21no—
284#14581772C2311yescharacteristic
285#14581771—21no—
286#14581771C2311yescharacteristic
287#14581771C2311yescharacteristic
288#14581771C2311yescharacteristic
289#14581769—21no—
290#14581769—21no—
291#14581769—21no—
292#14581769—21no—
293#14581769D411yescharacteristic
294#14581768—21no—
295#14581768—21no—
296#14581768—21no—
297#14581767C2311yescharacteristic
298#14581766—21no—
299#14581766C2311yescharacteristic
300#14581765—21no—
301#14581765—21no—
302#14581764—21no—
303#14581764—21no—
304#14581764—21no—
305#14581764—21no—
306#14581764—21no—
307#14581764D411yescharacteristic
308#14581763—21no—
309#14581763—21no—
310#14581763—21no—
311#14581763C2311yescharacteristic
312#14581763C2311yescharacteristic
313#14581762—21no—
314#14581761—21no—
315#14581761—21no—
316#14581760—21no—
317#14581760—21no—
318#14581760—21no—
319C4×Dic166C2311yescharacteristic
320C4×Dic166C2311yescharacteristic
321#14581757C2311yescharacteristic
322#14581757C2311yescharacteristic
323#14581757C2311yescharacteristic
324C4×D332C2311yescharacteristic
325D4×Dic83—21no—
326D4×Dic83—21no—
327D4×Dic83—21no—
328D4×Dic83—21no—
329D4×Dic83—21no—
330D4×Dic83—21no—
331D4×Dic83—21no—
332D4×Dic83C2311yescharacteristic
333D4×Dic83C2311yescharacteristic
334D4×Dic83C2311yescharacteristic
335D4×Dic83C2311yescharacteristic
336D4×Dic83C2311yescharacteristic
337D4×Dic83C2311yescharacteristic
338D4×Dic83C2311yescharacteristic
339D4×Dic83C2311yescharacteristic
340#14581754—21no—
341#14581754—21no—
342#14581754C2311yescharacteristic
343#14581754C2311yescharacteristic
344#14581754C2311yescharacteristic
345#14581754C2311yescharacteristic
346#14581754C2311yescharacteristic
347C4×C22⋊D83—21no—
348C4×C22⋊D83—21no—
349C4×C22⋊D83—21no—
350C4×C22⋊D83—21no—
351C4×C22⋊D83—21no—
352C4×C22⋊D83—21no—
353C4×C22⋊D83C2311yescharacteristic
354C4×C22⋊D83C2311yescharacteristic
355(C22⋊D83)⋊C4—21no—
356(C22⋊D83)⋊C4—21no—
357(C22⋊D83)⋊C4—21no—
358#14581751—21no—
359#14581751C2311yescharacteristic
360#14581751C2311yescharacteristic
361#14581750—21no—
362#14581750C2311yescharacteristic
363#14581749C2311yescharacteristic
364#14581748—21no—
365#14581748—21no—
366#14581748—21no—
367#14581748—21no—
368C2×C4⋊Dic83C2311yescharacteristic
369C2×Dic83⋊C4—21no—
370C2×Dic83⋊C4—21no—
371C4⋊C4×D83—21no—
372C4⋊C4×D83—21no—
373C4⋊C4×D83C2311yescharacteristic
374C2×C22⋊Dic83—21no—
375C2×C22⋊Dic83—21no—
376C2×C22⋊Dic83—21no—
377C2×C22⋊Dic83—21no—
378C2×C22⋊Dic83—21no—
379C2×(C2×D83)⋊C4—21no—
380C2×(C2×D83)⋊C4—21no—
381C22⋊C4×D83—21no—
382C22⋊C4×D83—21no—
383C22⋊C4×D83—21no—
384C2×C4×Dic83C2311yescharacteristic
385#14581726C2311yescharacteristic
386#14581725C2311yescharacteristic
387#14581725C2311yescharacteristic
388#14581725C2311yescharacteristic
389#14581725C2311yescharacteristic
390#14581725C2311yescharacteristic
391#14581725C2311yescharacteristic
392#14581724C2311yescharacteristic
393#14581724C2311yescharacteristic
394#14581723C2311yescharacteristic
395#14581723C2311yescharacteristic
396#14581723C2311yescharacteristic
397#14581723C2311yescharacteristic
398C4⋊(C83⋊C8)C2311yescharacteristic
399Dic83⋊C8C2311yescharacteristic
400Dic83⋊C8C2311yescharacteristic
401Dic83⋊C8C2311yescharacteristic
402Dic83⋊C8C2311yescharacteristic
403#14581717C2311yescharacteristic
404#14581717C2311yescharacteristic
405#14581717C2311yescharacteristic
406#14581717C2311yescharacteristic
407#14581715C2311yescharacteristic
408#14581715C2311yescharacteristic
409#14581715C2311yescharacteristic
410#14581715C2311yescharacteristic
411#14581714C2311yescharacteristic
412#14581714C2311yescharacteristic
413#14581714C2311yescharacteristic
414#14581714C2311yescharacteristic
415#14581714C2311yescharacteristic
416#14581714C2311yescharacteristic
417#14581713C2311yescharacteristic
418#14581713C2311yescharacteristic
419#14581713C2311yescharacteristic
420#14581713C2311yescharacteristic
421#14581713C2311yescharacteristic
422#14581713C2311yescharacteristic
423#14581712C2311yescharacteristic
424#14581712C2311yescharacteristic
425C22⋊(C83⋊C8)C2311yescharacteristic
426C22⋊(C83⋊C8)C2311yescharacteristic
427(C2×D83)⋊C8C2311yescharacteristic
428(C2×D83)⋊C8C2311yescharacteristic
429#14581703C2311yescharacteristic
430#14581702C2311yescharacteristic
431#14581702C2311yescharacteristic
432#14581702C2311yescharacteristic
433C8×Dic83C2311yescharacteristic
434C8×Dic83C2311yescharacteristic
435C8×Dic83C2311yescharacteristic
436C8×Dic83C2311yescharacteristic
437C8×Dic83C2311yescharacteristic
438C2×#41×C83—21no—
439C22×D4×C83—21no—
440C22×D4×C83C2311yescharacteristic
441C22×D4×C83C2311yescharacteristic
442C2×D8×C83C2311yescharacteristic
443C2×D8×C83C2311yescharacteristic
444C2×D8×C83C2311yescharacteristic
445C22×C8×C83C2311yescharacteristic
446C22×C8×C83C2311yescharacteristic
447C4⋊Q8×C83C2311yescharacteristic
448#127×C83C2311yescharacteristic
449#123×C83—21no—
450#123×C83—21no—
451C22⋊Q8×C83—21no—
452#121×C83—21no—
453#121×C83C2311yescharacteristic
454#121×C83C2311yescharacteristic
455#121×C83C2311yescharacteristic
456#121×C83C2311yescharacteristic
457#120×C83—21no—
458#120×C83—21no—
459C4×D4×C83C2311yescharacteristic
460C4×D4×C83C2311yescharacteristic
461C4×D4×C83C2311yescharacteristic
462C2×C4⋊C4×C83C2311yescharacteristic
463C2×C4⋊C4×C83C2311yescharacteristic
464#107×C83C2311yescharacteristic
465#107×C83C2311yescharacteristic
466#107×C83C2311yescharacteristic
467C4⋊C8×C83C2311yescharacteristic
468#102×C83C2311yescharacteristic
469#102×C83C2311yescharacteristic
470#102×C83C2311yescharacteristic
471#102×C83C2311yescharacteristic
472#102×C83C2311yescharacteristic
473#102×C83C2311yescharacteristic
474#102×C83C2311yescharacteristic
475#102×C83C2311yescharacteristic
476#102×C83C2311yescharacteristic
477#102×C83C2311yescharacteristic
478C22⋊C8×C83C2311yescharacteristic
479C22⋊C8×C83C2311yescharacteristic
480C4×C8×C83C2311yescharacteristic
481C23×D83—21no—
482C23×D83—21no—
483#13050590—22no—
484#13050590—41no—
485#13050589—22no—
486#13050589—41no—
487#13050589—82no—
488C2×Dic166—21no—
489C2×Dic166C2×D411yescharacteristic
490C2×Dic166C2411yescharacteristic
491C2×Dic166C2411yescharacteristic
492C2×D332—22no—
493C2×D332—21no—
494C2×D332—21no—
495C2×D332—41no—
496C2×D332C2411yescharacteristic
497C2×D332C2411yescharacteristic
498C2×C22⋊D83—21no—
499C2×C22⋊D83—21no—
500C2×C22⋊D83—21no—
501C2×C22⋊D83—21no—
502C2×C22⋊D83—21no—
503C2×C22⋊D83—21no—
504C2×C22⋊D83—21no—
505C2×C22⋊D83—21no—
506C2×C22⋊D83C2×D411yescharacteristic
507C2×C22⋊D83C2×D411yescharacteristic
508D4×D83—22no—
509D4×D83—41no—
510D4×D83—82no—
511C22×Dic83—21no—
512C22×Dic83—21no—
513C22×Dic83—21no—
514C22×Dic83—21no—
515C22×Dic83—21no—
516C22×Dic83—21no—
517C22×Dic83—21no—
518C22×Dic83—21no—
519C22×Dic83—21no—
520C22×Dic83—21no—
521C22×Dic83—82no—
522C22×Dic83C2×D411yescharacteristic
523C22×Dic83C2×D411yescharacteristic
524C2×C4×D83—21no—
525C2×C4×D83—21no—
526C2×C4×D83—21no—
527C2×C4×D83—21no—
528C2×C4×D83—21no—
529C2×C4×D83—21no—
530C2×C4×D83—21no—
531C2×C4×D83—21no—
532C2×C4×D83—82no—
533C2×C4×D83C2411yescharacteristic
534Dic332—41no—
535#13050579—22no—
536#13050579—41no—
537#13050578—22no—
538#13050578—22no—
539#13050578—22no—
540#13050578—41no—
541#13050575—22no—
542#13050575—22no—
543#13050575—22no—
544#13050575—22no—
545#13050575—41no—
546#13050575#4114yescomplemented
547#13050574—22no—
548#13050573—22no—
549C2×C83⋊C8—22no—
550C2×C83⋊C8C2411yescharacteristic
551C2×C83⋊C8C2411yescharacteristic
552C2×C83⋊C8C2411yescharacteristic
553C2×C83⋊C8C2411yescharacteristic
554C8×D83—41no—
555C4⋊Dic83—21no—
556C4⋊Dic83—21no—
557C4⋊Dic83—21no—
558C4⋊Dic83—21no—
559C4⋊Dic83—21no—
560C4⋊Dic83C2×D411yescharacteristic
561C4⋊Dic83C2×D411yescharacteristic
562C4⋊Dic83C2×D411yescharacteristic
563C4⋊Dic83C2411yescharacteristic
564C4⋊Dic83C2411yescharacteristic
565C4⋊Dic83C2411yescharacteristic
566C4⋊Dic83C2411yescharacteristic
567Dic83⋊C4—21no—
568Dic83⋊C4—21no—
569Dic83⋊C4—21no—
570Dic83⋊C4—21no—
571Dic83⋊C4—21no—
572Dic83⋊C4—21no—
573Dic83⋊C4—21no—
574Dic83⋊C4—21no—
575Dic83⋊C4—21no—
576Dic83⋊C4—21no—
577Dic83⋊C4—21no—
578Dic83⋊C4—21no—
579Dic83⋊C4—21no—
580Dic83⋊C4—21no—
581Dic83⋊C4C2×D411yescharacteristic
582Dic83⋊C4C2×D411yescharacteristic
583Dic83⋊C4C2×D411yescharacteristic
584Dic83⋊C4C2×D411yescharacteristic
585Dic83⋊C4C2×D411yescharacteristic
586Dic83⋊C4C2×D411yescharacteristic
587C22⋊Dic83—21no—
588C22⋊Dic83—21no—
589C22⋊Dic83—21no—
590C22⋊Dic83—21no—
591C22⋊Dic83—21no—
592C22⋊Dic83—21no—
593C22⋊Dic83—21no—
594C22⋊Dic83—21no—
595C22⋊Dic83—21no—
596C22⋊Dic83—21no—
597C22⋊Dic83—21no—
598C22⋊Dic83—21no—
599C22⋊Dic83—21no—
600C22⋊Dic83—21no—
601C22⋊Dic83—21no—
602C22⋊Dic83—21no—
603C22⋊Dic83—21no—
604C22⋊Dic83—21no—
605C22⋊Dic83—21no—
606C22⋊Dic83—21no—
607C22⋊Dic83C2×D411yescharacteristic
608C22⋊Dic83C2×D411yescharacteristic
609C22⋊Dic83C2×D411yescharacteristic
610C22⋊Dic83C2×D411yescharacteristic
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)⋊C4—21no—
621(C2×D83)⋊C4—21no—
622(C2×D83)⋊C4—21no—
623(C2×D83)⋊C4C2×D411yescharacteristic
624(C2×D83)⋊C4C2×D411yescharacteristic
625(C2×D83)⋊C4C2×D411yescharacteristic
626(C2×D83)⋊C4C2×D411yescharacteristic
627C4×Dic83—21no—
628C4×Dic83—21no—
629C4×Dic83—21no—
630C4×Dic83—21no—
631C4×Dic83—21no—
632C4×Dic83—21no—
633C4×Dic83C2×D411yescharacteristic
634C4×Dic83C2×D411yescharacteristic
635C4×Dic83C2411yescharacteristic
636C4×Dic83C2411yescharacteristic
637C4×Dic83C2411yescharacteristic
638C24×C83—21no—
639C24×C83—21no—
640#41×C83—82no—
641C2×Q8×C83—21no—
642C2×D4×C83—22no—
643C2×D4×C83—22no—
644C2×D4×C83—21no—
645C2×D4×C83—21no—
646C2×D4×C83—21no—
647C2×D4×C83—21no—
648C2×D4×C83—21no—
649C2×D4×C83—21no—
650C2×D4×C83—21no—
651C2×D4×C83—21no—
652C2×D4×C83—41no—
653C2×D4×C83—41no—
654C2×D4×C83—82no—
655C2×D4×C83C2×D411yescharacteristic
656C2×D4×C83C2411yescharacteristic
657C2×D4×C83C2411yescharacteristic
658C2×D4×C83C2411yescharacteristic
659C2×D4×C83C2411yescharacteristic
660C22×C4×C83—21no—
661C22×C4×C83—21no—
662C22×C4×C83—21no—
663C22×C4×C83—21no—
664C22×C4×C83C2411yescharacteristic
665C22×C4×C83C2411yescharacteristic
666D8×C83—22no—
667D8×C83—41no—
668D8×C83—41no—
669C2×C8×C83—41no—
670C2×C8×C83—41no—
671C2×C8×C83C2411yescharacteristic
672C2×C8×C83C2411yescharacteristic
673C2×C8×C83C2411yescharacteristic
674C2×C8×C83C2411yescharacteristic
675C4⋊C4×C83—21no—
676C4⋊C4×C83—21no—
677C4⋊C4×C83—21no—
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×C83C2411yescharacteristic
692C23×C83—21no—
693C23×C83—21no—
694C23×C83—21no—
695C23×C83—21no—
696C23×C83—42no—
697C23×C83—42no—
698C23×C83—42no—
699C23×C83—81no—
700C23×C83—81no—
701C23×C83—81no—
702C23×C83C22×D411yescharacteristic
703C23×C83C22×D411yescharacteristic
704C22×D83—21no—
705C22×D83—21no—
706C22×D83—42no—
707C22×D83—42no—
708C22×D83—42no—
709C22×D83—81no—
710C22×D83—81no—
711C22×D83—81no—
712C22×D83C22×D411yescharacteristic
713Q8×C83—81no—
714D4×C83—22no—
715D4×C83—21no—
716D4×C83—21no—
717D4×C83—21no—
718D4×C83—21no—
719D4×C83—21no—
720D4×C83—21no—
721D4×C83—21no—
722D4×C83—42no—
723D4×C83—42no—
724D4×C83—42no—
725D4×C83—42no—
726D4×C83—81no—
727D4×C83—81no—
728D4×C83—81no—
729D4×C83—81no—
730D4×C83C2×#4112yes—
731C2×C4×C83—21no—
732C2×C4×C83—21no—
733C2×C4×C83—21no—
734C2×C4×C83—21no—
735C2×C4×C83—21no—
736C2×C4×C83—21no—
737C2×C4×C83—21no—
738C2×C4×C83—21no—
739C2×C4×C83—42no—
740C2×C4×C83—81no—
741C2×C4×C83—81no—
742C2×C4×C83—81no—
743C2×C4×C83C22×D411yescharacteristic
744C2×C4×C83C22×D411yescharacteristic
745C2×C4×C83C22×D411yescharacteristic
746C2×C4×C83C22×D411yescharacteristic
747C2×C4×C83C2511yescharacteristic
748C22⋊D83—22no—
749C22⋊D83—41no—
750C22⋊D83—42no—
751C22⋊D83—42no—
752C22⋊D83—42no—
753C22⋊D83—81no—
754C22⋊D83—81no—
755C22⋊D83—81no—
756C22⋊D83—81no—
757C22⋊D83—81no—
758C2×Dic83—22no—
759C2×Dic83—21no—
760C2×Dic83—21no—
761C2×Dic83—21no—
762C2×Dic83—21no—
763C2×Dic83—21no—
764C2×Dic83—21no—
765C2×Dic83—41no—
766C2×Dic83—42no—
767C2×Dic83—42no—
768C2×Dic83—81no—
769C2×Dic83—81no—
770C2×Dic83—81no—
771C2×Dic83—81no—
772C2×Dic83—81no—
773C2×Dic83—81no—
774C2×Dic83—81no—
775C2×Dic83—81no—
776C2×Dic83C22×D411yescharacteristic
777C2×Dic83C22×D411yescharacteristic
778C2×Dic83C22×D411yescharacteristic
779C2×Dic83C22×D411yescharacteristic
780C2×Dic83C22×D411yescharacteristic
781C2×Dic83C22×D411yescharacteristic
782C2×Dic83C22×D411yescharacteristic
783D332—21no—
784D332—21no—
785D332—21no—
786D332—42no—
787D332—81no—
788D332C2×#4112yes—
789C4×D83—21no—
790C4×D83—21no—
791C4×D83—42no—
792C4×D83—81no—
793C4×D83—81no—
794C4×D83—81no—
795C4×D83—81no—
796C4×D83—81no—
797C4×D83—81no—
798C4×D83—81no—
799Dic166—21no—
800Dic166—21no—
801Dic166—21no—
802Dic166—21no—
803Dic166—41no—
804Dic166—81no—
805C8×C83—21no—
806C8×C83—21no—
807C8×C83—21no—
808C8×C83—21no—
809C83⋊C8—21no—
810C83⋊C8—21no—
811C83⋊C8—21no—
812C83⋊C8C2×#4112yes—
813C22×C83—21no—
814C22×C83—21no—
815C22×C83—21no—
816C22×C83—22no—
817C22×C83—21no—
818C22×C83—21no—
819C22×C83—41no—
820C22×C83—41no—
821C22×C83—41no—
822C22×C83—41no—
823C22×C83—41no—
824C22×C83—41no—
825C22×C83—41no—
826C22×C83—41no—
827C22×C83—41no—
828C22×C83—41no—
829C22×C83—41no—
830C22×C83—84no—
831C22×C83—162no—
832C22×C83#57612yes—
833C22×C83C23×D411yescharacteristic
834C2×D83—21no—
835C2×D83—21no—
836C2×D83—22no—
837C2×D83—21no—
838C2×D83—41no—
839C2×D83—41no—
840C2×D83—41no—
841C2×D83—41no—
842C2×D83—41no—
843C2×D83—84no—
844C2×D83—162no—
845C4×C83—21no—
846C4×C83—21no—
847C4×C83—21no—
848C4×C83—21no—
849C4×C83—41no—
850C4×C83—41no—
851C4×C83—41no—
852C4×C83—41no—
853C4×C83C22×#4111yescharacteristic
854C4×C83#58511yescharacteristic
855Dic83—21no—
856Dic83—21no—
857Dic83—21no—
858Dic83—21no—
859Dic83—21no—
860Dic83—21no—
861Dic83—21no—
862Dic83—41no—
863Dic83—41no—
864Dic83—41no—
865Dic83—41no—
866Dic83—41no—
867Dic83—41no—
868#61489—831nomaximal, Sylow
869C2×C83—22no—
870C2×C83—41no—
871C2×C83—42no—
872C2×C83—81no—
873C2×C83—81no—
874C2×C83—81no—
875C2×C83D4×#4111yescharacteristic
876C2×C83C2×#57611yescharacteristic
877C2×C83#358411yescharacteristic
878D83—41no—
879D83—42no—
880D83—81no—
881#3513—831no—
882#3513—831no—
883#3403—831no—
884#3389—831no—
885#3361—831no—
886#3361—831no—
887#3355—831no—
888#3343—831no—
889#3343—831no—
890#3297—831no—
891#3297—831no—
892#3296—831no—
893#3296—831no—
894#3294—831no—
895#3294D8311yescharacteristic, complemented
896#3273—831no—
897#3264—831no—
898#3264—831no—
899#3179—831no—
900#3179—831no—
901#3168—831no—
902#3124—831no—
903#3124—831no—
904#3122—831no—
905#3122—831no—
906#3114—831no—
907#3114—831no—
908#2966—831no—
909#2946—831no—
910#2946—831no—
911C2×C4×D8—831no—
912C83#6148911yescharacteristic, complemented, Sylow
913C2×AGL(1,ℤ/8)—831no—
914C2×AGL(1,ℤ/8)—831no—
915C22×D8—831no—
916#559—831no—
917#559—831no—
918#554—831no—
919#554—831no—
920#553—831no—
921#553—831no—
922#553—1661no—
923#553—1661no—
924#552—831no—
925#552—831no—
926#551—1661no—
927#551—1661no—
928#551—1661no—
929#551—1661no—
930#547—831no—
931#547C2×D8311yescharacteristic
932#546—831no—
933#546—831no—
934#546—831no—
935#546—831no—
936#546—1661no—
937#546—1661no—
938D42—831no—
939D42C2×D8311yescharacteristic, complemented
940#542—831no—
941#542—831no—
942#540—831no—
943#540—831no—
944#539—1661no—
945#539—1661no—
946#538—1661no—
947#538—1661no—
948#529—831no—
949#529—831no—
950#529—831no—
951#525—1661no—
952#525—1661no—
953C2×#123—1661no—
954C2×#123—1661no—
955#520—831no—
956#520—831no—
957#518—831no—
958#518—831no—
959C2×C4×D4—831no—
960C2×C4×D4—831no—
961#501—831no—
962#501—831no—
963#499—831no—
964#496—831no—
965#496—831no—
966#495—831no—
967#488—831no—
968#488—831no—
969#488—831no—
970#488—831no—
971#486—831no—
972#486C2×D8311yescharacteristic, complemented
973#484—831no—
974#484—831no—
975#483—831no—
976#483—831no—
977#482—831no—
978#482—831no—
979#482—831no—
980#482—831no—
981#480—831no—
982#480—831no—
983#480C2×D8311yescharacteristic, complemented
984#480C2×D8311yescharacteristic, complemented
985#478—831no—
986#478—831no—
987#478—831no—
988#478—831no—
989#478—831no—
990#478—831no—
991#478—831no—
992#478—831no—
993#477—831no—
994#477—831no—
995#474—831no—
996#474C2×D8311yescharacteristic, complemented
997#469—831no—
998#469—831no—
999#468—831no—
1000#468—831no—
1001#467—831no—
1002#466—831no—
1003#466C2×D8311yescharacteristic
1004#466C2×D8311yescharacteristic, complemented
1005#465—831no—
1006#465—831no—
1007#465—831no—
1008#465—831no—
1009#464—831no—
1010#464—831no—
1011#463—831no—
1012#463—831no—
1013#463—831no—
1014#463—831no—
1015#463—831no—
1016#463—831no—
1017#459—831no—
1018#459—831no—
1019#459—831no—
1020#459C2×D8311yescharacteristic, complemented
1021#452—831no—
1022#452—831no—
1023#450—831no—
1024#450—831no—
1025#449—831no—
1026#449—831no—
1027#447—831no—
1028#447—831no—
1029#447—831no—
1030#447—831no—
1031#447C2×D8311yescharacteristic
1032#447C2×D8311yescharacteristic, complemented
1033#446—831no—
1034C8×Q8—831no—
1035#442—831no—
1036#442—831no—
1037#442—831no—
1038#442—831no—
1039#442—831no—
1040#442—831no—
1041#440—831no—
1042#440—831no—
1043#440—831no—
1044#440—831no—
1045#440—831no—
1046#440—831no—
1047C4×Q16—831no—
1048C4×SD16—831no—
1049C4×SD16—831no—
1050C4×SD16—831no—
1051C4×SD16—831no—
1052C4×D8—831no—
1053C4×D8—831no—
1054C4×D8—831no—
1055C4×D8—831no—
1056C4×D8—831no—
1057C4×D8—831no—
1058C4×D8—831no—
1059C4×D8—831no—
1060C4×D8—831no—
1061C4×D8—831no—
1062C4×D8C2×D8311yescharacteristic, complemented
1063#436—831no—
1064#435—831no—
1065#435—831no—
1066C8×D4—831no—
1067C8×D4—831no—
1068C8×D4C2×D8311yescharacteristic, complemented
1069#433—831no—
1070#433—831no—
1071#432—831no—
1072#428—831no—
1073#428—831no—
1074C2×#107—831no—
1075#416—831no—
1076#416—831no—
1077C2×#102—831no—
1078C2×#102—831no—
1079C2×#102C2×D8311yescharacteristic, complemented
1080C2×#102C2×D8311yescharacteristic, complemented
1081#405—831no—
1082#405—831no—
1083C2×C4×C8—831no—
1084C2×#41—21no—
1085C2×#41—831no—
1086C2×#41—831no—
1087C2×#41—1661no—
1088C22×D4—21no—
1089C22×D4—831no—
1090C22×D4—831no—
1091C22×D4—1661no—
1092C22×D4C22×D8311yescharacteristic
1093C22×D4C22×D8311yescharacteristic
1094C23×C4—1661no—
1095C23×C4—1661no—
1096AGL(1,ℤ/8)—1664no—
1097AGL(1,ℤ/8)—1664no—
1098C2×Q16—831no—
1099C2×SD16—831no—
1100C2×SD16—831no—
1101C2×SD16—831no—
1102C2×SD16—831no—
1103C2×SD16—831no—
1104C2×SD16—831no—
1105C2×D8—831no—
1106C2×D8—831no—
1107C2×D8—831no—
1108C2×D8—831no—
1109C2×D8—831no—
1110C2×D8—831no—
1111C2×D8—1664no—
1112C2×D8C22×D8311yescharacteristic
1113C2×D8C22×D8311yescharacteristic
1114C2×D8C22×D8311yescharacteristic
1115C2×M16—831no—
1116C2×M16—831no—
1117C22×C8—831no—
1118C22×C8—831no—
1119C22×C8C22×D8311yescharacteristic
1120C22×C8C22×D8311yescharacteristic
1121C4⋊Q8—831no—
1122C4⋊Q8C22×D8311yescharacteristic
1123#127—831no—
1124#127C22×D8311yescharacteristic
1125#126—831no—
1126#126—831no—
1127#126—1661no—
1128#126—1661no—
1129#126—1661no—
1130#126—1661no—
1131#126—1661no—
1132#126—1661no—
1133#126—1661no—
1134#126—1661no—
1135#125—831no—
1136#125—831no—
1137#125—831no—
1138#125—831no—
1139#125—831no—
1140#125—1661no—
1141#125—1661no—
1142#124—831no—
1143#124—831no—
1144#124—831no—
1145#124—831no—
1146#124—831no—
1147#124—1661no—
1148#124—1661no—
1149#124—1661no—
1150#124—1661no—
1151#123—21no—
1152#123—21no—
1153#123—831no—
1154#123—831no—
1155#123—1661no—
1156#123—1661no—
1157#123—1661no—
1158#123—1661no—
1159#123—1661no—
1160#123—1661no—
1161#123—1661no—
1162#123—1661no—
1163#123—1661no—
1164#123—1661no—
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—21no—
1178C22⋊Q8—831no—
1179C22⋊Q8—831no—
1180C22⋊Q8—831no—
1181C22⋊Q8—831no—
1182C22⋊Q8—831no—
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—
1192#121—21no—
1193#121—831no—
1194#121—831no—
1195#121—831no—
1196#121—831no—
1197#121—831no—
1198#121—1661no—
1199#121—1661no—
1200#121—1661no—
1201#121—1661no—
1202#121—1661no—
1203#121—1661no—
1204#121—1661no—
1205#121—1661no—
1206#121—1661no—
1207#121—1661no—
1208#121—1661no—
1209#121C22×D8311yescharacteristic
1210#121C22×D8311yescharacteristic
1211#121C22×D8311yescharacteristic
1212#121C22×D8311yescharacteristic
1213#120—21no—
1214#120—21no—
1215#120—1661no—
1216#120—1661no—
1217#120—1661no—
1218#120—1661no—
1219#120—1661no—
1220#120—1661no—
1221C4×Q8—831no—
1222C4×Q8—831no—
1223C4×Q8—831no—
1224C4×Q8—831no—
1225C4×Q8—831no—
1226C4×D4—831no—
1227C4×D4—831no—
1228C4×D4—831no—
1229C4×D4—831no—
1230C4×D4—831no—
1231C4×D4—831no—
1232C4×D4—831no—
1233C4×D4—831no—
1234C4×D4—831no—
1235C4×D4—831no—
1236C4×D4—831no—
1237C4×D4—831no—
1238C4×D4—831no—
1239C4×D4—831no—
1240C4×D4—831no—
1241C4×D4—831no—
1242C4×D4—1661no—
1243C4×D4—1661no—
1244C4×D4—1661no—
1245C4×D4—1661no—
1246C4×D4—1661no—
1247C4×D4—1661no—
1248C4×D4—1661no—
1249C4×D4—1661no—
1250C4×D4—1661no—
1251C4×D4—1661no—
1252C4×D4—1661no—
1253C4×D4—1661no—
1254C4×D4—1661no—
1255C4×D4—1661no—
1256C4×D4—1661no—
1257C4×D4—1661no—
1258C4×D4—1661no—
1259C4×D4—1661no—
1260C4×D4C22×D8311yescharacteristic
1261C4×D4C22×D8311yescharacteristic
1262C4×D4C22×D8311yescharacteristic
1263#117—831no—
1264#117—831no—
1265#117—831no—
1266#117—831no—
1267#117—1661no—
1268#117—1661no—
1269#117—1661no—
1270#117—1661no—
1271#117—1661no—
1272#117—1661no—
1273C2×C4⋊C4—831no—
1274C2×C4⋊C4—831no—
1275C2×C4⋊C4—1661no—
1276C2×C4⋊C4—1661no—
1277C2×C4⋊C4—1661no—
1278C2×C4⋊C4—1661no—
1279C2×C4⋊C4C22×D8311yescharacteristic
1280C2×C4⋊C4C22×D8311yescharacteristic
1281C2×C22⋊C4—1661no—
1282C2×C22⋊C4—1661no—
1283C2×C22⋊C4—1661no—
1284C2×C22⋊C4—1661no—
1285C2×C22⋊C4—1661no—
1286C2×C22⋊C4—1661no—
1287C2×C22⋊C4—1661no—
1288C2×C22⋊C4—1661no—
1289C2×C22⋊C4—1661no—
1290C2×C22⋊C4—1661no—
1291C2×C42—831no—
1292#107—831no—
1293#107—831no—
1294#107—831no—
1295#107—831no—
1296#107—831no—
1297#107—831no—
1298#107—831no—
1299#107C22×D8311yescharacteristic
1300#107C22×D8311yescharacteristic
1301#107C22×D8311yescharacteristic
1302#106—831no—
1303#106—831no—
1304#106—831no—
1305#106—831no—
1306#106—831no—
1307#106—831no—
1308C4⋊C8—831no—
1309C4⋊C8—831no—
1310C4⋊C8—831no—
1311C4⋊C8—831no—
1312C4⋊C8—831no—
1313C4⋊C8C22×D8311yescharacteristic
1314#103—831no—
1315#103—831no—
1316#103—831no—
1317#103—831no—
1318#103—831no—
1319#103—831no—
1320#103—831no—
1321#103—831no—
1322#102—831no—
1323#102—831no—
1324#102—831no—
1325#102—831no—
1326#102—831no—
1327#102—831no—
1328#102—831no—
1329#102—831no—
1330#102—831no—
1331#102—831no—
1332#102—831no—
1333#102—831no—
1334#102—831no—
1335#102—831no—
1336#102C22×D8311yescharacteristic
1337#102C22×D8311yescharacteristic
1338#102C22×D8311yescharacteristic
1339#102C22×D8311yescharacteristic
1340#102C22×D8311yescharacteristic
1341#102C22×D8311yescharacteristic
1342#102C22×D8311yescharacteristic
1343#102C22×D8311yescharacteristic
1344#102C22×D8311yescharacteristic
1345#102C22×D8311yescharacteristic
1346C22⋊C8—831no—
1347C22⋊C8—831no—
1348C22⋊C8—831no—
1349C22⋊C8—831no—
1350C22⋊C8C22×D8311yescharacteristic
1351C22⋊C8C22×D8311yescharacteristic
1352#97—831no—
1353#97—831no—
1354#97—831no—
1355#97—831no—
1356C4×C8—831no—
1357C4×C8—831no—
1358C4×C8—831no—
1359C4×C8—831no—
1360C4×C8—831no—
1361C4×C8C22×D8311yescharacteristic
1362C24—21no—
1363C24—21no—
1364C24—1661no—
1365C24—1661no—
1366#41—82no—
1367#41—3321no—
1368#41—3321no—
1369#41—6642no—
1370#41—1662no—
1371#41—1662no—
1372C2×Q8—21no—
1373C2×Q8—831no—
1374C2×Q8—831no—
1375C2×Q8—831no—
1376C2×Q8—1661no—
1377C2×D4—22no—
1378C2×D4—22no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—41no—
1388C2×D4—41no—
1389C2×D4—82no—
1390C2×D4—3321no—
1391C2×D4—3321no—
1392C2×D4—831no—
1393C2×D4—831no—
1394C2×D4—831no—
1395C2×D4—831no—
1396C2×D4—6642no—
1397C2×D4—1662no—
1398C2×D4—1661no—
1399C2×D4—1661no—
1400C2×D4—1661no—
1401C2×D4—1661no—
1402C2×D4—1662no—
1403C2×D4—1661no—
1404C2×D4—1661no—
1405C2×D4—1661no—
1406C2×D4—1661no—
1407C2×D4—1661no—
1408C2×D4—1661no—
1409C2×D4D4×D8311yescharacteristic
1410C2×D4C23×D8311yescharacteristic
1411C2×D4C23×D8311yescharacteristic
1412C2×D4C23×D8311yescharacteristic
1413C2×D4C23×D8311yescharacteristic
1414C22×C4—21no—
1415C22×C4—21no—
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—831no—
1419C22×C4—831no—
1420C22×C4—831no—
1421C22×C4—6642no—
1422C22×C4—6642no—
1423C22×C4—1661no—
1424C22×C4—1661no—
1425C22×C4—1661no—
1426C22×C4—1661no—
1427C22×C4—1661no—
1428C22×C4—1661no—
1429C22×C4—1661no—
1430C22×C4—1661no—
1431C22×C4—1661no—
1432C22×C4—1661no—
1433C22×C4—1661no—
1434C22×C4—1661no—
1435C22×C4—1661no—
1436C22×C4—1661no—
1437C22×C4—1661no—
1438C22×C4—1661no—
1439C22×C4—1661no—
1440C22×C4—1661no—
1441C22×C4C23×D8311yescharacteristic
1442C22×C4C23×D8311yescharacteristic
1443Q16—3321no—
1444SD16—3321no—
1445SD16—3321no—
1446SD16—1662no—
1447SD16—1662no—
1448SD16—1662no—
1449SD16—1662no—
1450D8—22no—
1451D8—41no—
1452D8—41no—
1453D8—3321no—
1454D8—834no—
1455D8—1662no—
1456D8—1662no—
1457D8—1662no—
1458D8—1662no—
1459M16—1662no—
1460M16—1662no—
1461C2×C8—41no—
1462C2×C8—41no—
1463C2×C8—3321no—
1464C2×C8—831no—
1465C2×C8—831no—
1466C2×C8—831no—
1467C2×C8—831no—
1468C2×C8—1662no—
1469C2×C8C23×D8311yescharacteristic
1470C2×C8C23×D8311yescharacteristic
1471C2×C8C23×D8311yescharacteristic
1472C2×C8C23×D8311yescharacteristic
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—831no—
1477C4⋊C4—831no—
1478C4⋊C4—831no—
1479C4⋊C4—831no—
1480C4⋊C4—831no—
1481C4⋊C4—831no—
1482C4⋊C4—831no—
1483C4⋊C4—831no—
1484C4⋊C4—831no—
1485C4⋊C4—831no—
1486C4⋊C4—831no—
1487C4⋊C4—831no—
1488C4⋊C4—831no—
1489C4⋊C4—1661no—
1490C4⋊C4—1661no—
1491C4⋊C4—1661no—
1492C4⋊C4—1661no—
1493C4⋊C4—1661no—
1494C4⋊C4—1661no—
1495C4⋊C4—1661no—
1496C4⋊C4—1661no—
1497C4⋊C4—1661no—
1498C4⋊C4—1661no—
1499C4⋊C4—1661no—
1500C4⋊C4—1661no—
1501C4⋊C4—1661no—
1502C4⋊C4—1661no—
1503C4⋊C4—1661no—
1504C4⋊C4—1661no—
1505C4⋊C4—1661no—
1506C4⋊C4—1661no—
1507C4⋊C4—1661no—
1508C4⋊C4D4×D8311yescharacteristic
1509C4⋊C4C23×D8311yescharacteristic
1510C4⋊C4C23×D8311yescharacteristic
1511C4⋊C4C23×D8311yescharacteristic
1512C4⋊C4C23×D8311yescharacteristic
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—831no—
1520C22⋊C4—831no—
1521C22⋊C4—831no—
1522C22⋊C4—831no—
1523C22⋊C4—831no—
1524C22⋊C4—831no—
1525C22⋊C4—831no—
1526C22⋊C4—831no—
1527C22⋊C4—1661no—
1528C22⋊C4—1661no—
1529C22⋊C4—1661no—
1530C22⋊C4—1661no—
1531C22⋊C4—1661no—
1532C22⋊C4—1661no—
1533C22⋊C4—1661no—
1534C22⋊C4—1661no—
1535C22⋊C4—1661no—
1536C22⋊C4—1661no—
1537C22⋊C4—1661no—
1538C22⋊C4—1661no—
1539C22⋊C4—1661no—
1540C22⋊C4—1661no—
1541C22⋊C4—1661no—
1542C22⋊C4—1661no—
1543C22⋊C4—1661no—
1544C22⋊C4—1661no—
1545C22⋊C4—1661no—
1546C22⋊C4—1661no—
1547C22⋊C4—1661no—
1548C22⋊C4—1661no—
1549C22⋊C4—1661no—
1550C22⋊C4—1661no—
1551C22⋊C4—1661no—
1552C22⋊C4—1661no—
1553C22⋊C4—1661no—
1554C22⋊C4—1661no—
1555C22⋊C4—1661no—
1556C22⋊C4—1661no—
1557C22⋊C4—1661no—
1558C22⋊C4—1661no—
1559C22⋊C4D4×D8311yescharacteristic
1560C22⋊C4D4×D8311yescharacteristic
1561C42—831no—
1562C42—831no—
1563C42—831no—
1564C42—831no—
1565C42—831no—
1566C42—1661no—
1567C42—1661no—
1568C42—1661no—
1569C42—1661no—
1570C42—1661no—
1571C42—1661no—
1572C42C23×D8311yescharacteristic
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—42no—
1578C23—42no—
1579C23—42no—
1580C23—81no—
1581C23—81no—
1582C23—81no—
1583C23—3322no—
1584C23—3322no—
1585C23—3322no—
1586C23—831no—
1587C23—6641no—
1588C23—6641no—
1589C23—6641no—
1590C23—1661no—
1591C23—1661no—
1592C23C2×D4×D8311yescharacteristic
1593C23C2×D4×D8311yescharacteristic
1594Q8—81no—
1595Q8—3321no—
1596Q8—6641no—
1597Q8—1661no—
1598Q8—1661no—
1599Q8—1661no—
1600Q8—1661no—
1601D4—22no—
1602D4—21no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—21no—
1607D4—21no—
1608D4—21no—
1609D4—42no—
1610D4—42no—
1611D4—42no—
1612D4—42no—
1613D4—81no—
1614D4—81no—
1615D4—81no—
1616D4—81no—
1617D4—3322no—
1618D4—3322no—
1619D4—3322no—
1620D4—3321no—
1621D4—3322no—
1622D4—832no—
1623D4—6641no—
1624D4—6641no—
1625D4—6641no—
1626D4—6641no—
1627D4—6641no—
1628D4—6641no—
1629D4—1662no—
1630D4—1661no—
1631D4—1661no—
1632D4—1661no—
1633D4#41×D8312yes—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—42no—
1643C2×C4—81no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4—3322no—
1647C2×C4—3322no—
1648C2×C4—3322no—
1649C2×C4—3321no—
1650C2×C4—831no—
1651C2×C4—831no—
1652C2×C4—831no—
1653C2×C4—831no—
1654C2×C4—831no—
1655C2×C4—831no—
1656C2×C4—831no—
1657C2×C4—6641no—
1658C2×C4—6641no—
1659C2×C4—6641no—
1660C2×C4—6641no—
1661C2×C4—6641no—
1662C2×C4—6641no—
1663C2×C4—6641no—
1664C2×C4—6641no—
1665C2×C4—6641no—
1666C2×C4—6641no—
1667C2×C4—6641no—
1668C2×C4—6641no—
1669C2×C4—6641no—
1670C2×C4—6641no—
1671C2×C4—6641no—
1672C2×C4—1661no—
1673C2×C4—1661no—
1674C2×C4—1661no—
1675C2×C4—1661no—
1676C2×C4—1661no—
1677C2×C4—1661no—
1678C2×C4—1662no—
1679C2×C4—1661no—
1680C2×C4—1661no—
1681C2×C4C2×D4×D8311yescharacteristic
1682C2×C4C2×D4×D8311yescharacteristic
1683C2×C4C2×D4×D8311yescharacteristic
1684C2×C4C2×D4×D8311yescharacteristic
1685C2×C4C24×D8311yescharacteristic
1686C8—21no—
1687C8—21no—
1688C8—21no—
1689C8—21no—
1690C8—832no—
1691C8—1661no—
1692C8—1661no—
1693C8—1661no—
1694C22—21no—
1695C22—21no—
1696C22—21no—
1697C22—21no—
1698C22—22no—
1699C22—21no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—84no—
1712C22—162no—
1713C22—13282no—
1714C22—3321no—
1715C22—3321no—
1716C22—3321no—
1717C22—3321no—
1718C22—3321no—
1719C22—6644no—
1720C22—1661no—
1721C22—1662no—
1722C22—1661no—
1723C22—1661no—
1724C22#1912850212yes—
1725C22C22×D4×D8311yescharacteristic
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—3321no—
1735C4—3321no—
1736C4—3321no—
1737C4—3321no—
1738C4—3321no—
1739C4—3321no—
1740C4—1661no—
1741C4—1661no—
1742C4—1661no—
1743C4—1661no—
1744C4—1661no—
1745C4—1661no—
1746C4—1661no—
1747C4C2×#41×D8311yescharacteristic
1748C4#1912853611yescharacteristic
1749C2—22no—
1750C2—41no—
1751C2—42no—
1752C2—81no—
1753C2—81no—
1754C2—81no—
1755C2—3321no—
1756C2—3322no—
1757C2—6641no—
1758C2#2492094711yescharacteristic
1759C2C2×#1912850211yescharacteristic
1760C2#2492223511yescharacteristic
subgroupG/H
centerC22C22×D4×D83
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC83×#3294C2
socleC22×C83C23×D4
hypercenter#3294D83
hypocenterC83#61489
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3294

Complements

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

NH ≅ G/Ntype
1. #24921398C2semidirect
2. #24921388C2semidirect
3. #24920546C2semidirect
4. #24920416C2semidirect
5. #24920128C2semidirect
6. #24920124C2semidirect
7. #24920069C2semidirect
8. #24919907C2semidirect
9. #24919897C2semidirect
10. #24919309C2semidirect
11. #24919308C2semidirect
12. #24919300C2semidirect
13. #24919294C2semidirect
14. #24919271C2semidirect
15. #24919074C2semidirect
16. #24918939C2semidirect
17. #24918936C2semidirect
18. #24918153C2semidirect
19. #24918149C2semidirect
20. #24918028C2semidirect
21. #24917730C2semidirect
22. #24917720C2semidirect
23. #24917704C2semidirect
24. #24917700C2semidirect
25. #24917598C2semidirect
26. #24917596C2semidirect
27. #24916431C2semidirect
28. #24916289C2semidirect
29. #24916288C2semidirect
30. C2×#19127781C2semidirect
31. C83×#3294C2semidirect
35. #19128437C22semidirect
36. #19128434C22semidirect
37. #19128412C22semidirect
38. #19128410C22semidirect
39. #19128399C22semidirect
40. #19128398C22semidirect
43. #19128391C22semidirect
44. #19128386C22semidirect
50. #19128348C22semidirect
54. #19128345C22semidirect
56. #19128335C22semidirect
57. #19128325C22semidirect
58. #19128318C22semidirect
59. #19128305C22semidirect
60. #19128304C22semidirect
65. #19128232C22semidirect
66. #19128232C22semidirect
72. #19128182C22semidirect
73. #19128180C22semidirect
74. #19128176C22semidirect
75. #19128173C22semidirect
76. C2×D4×Dic83C22semidirect
77. C2×#14581754C22semidirect
78. #19128109C22semidirect
79. #19128107C22semidirect
80. #19128102C22semidirect
81. #19128089C22semidirect
82. #19128088C22semidirect
83. #19128084C22semidirect
84. #19128056C22semidirect
85. #19128054C22semidirect
86. #19128054C22semidirect
87. #19128054C22semidirect
88. #19128046C22semidirect
89. #19128038C22semidirect
90. #19128036C22semidirect
91. #19128032C22semidirect
92. #19128031C22semidirect
93. #19128026C22semidirect
94. #19128024C22semidirect
95. #19128023C22semidirect
96. #19128022C22semidirect
97. #19128016C22semidirect
98. #19128012C22semidirect
99. #19128004C22semidirect
100. #19128004C22semidirect
101. #19128003C22semidirect
102. #19128003C22semidirect
103. #19128003C22semidirect
104. #19128002C22semidirect
105. #19128001C22semidirect
106. #19127999C22semidirect
107. #19127995C22semidirect
108. #19127993C22semidirect
109. #19127980C22semidirect
110. #19127953C22semidirect
111. #19127952C22semidirect
112. #19127946C22semidirect
113. #19127945C22semidirect
114. #19127942C22semidirect
115. #19127936C22semidirect
116. #19127930C22semidirect
117. #19127929C22semidirect
118. #19127928C22semidirect
119. #19127928C22semidirect
120. #19127924C22semidirect
121. #19127922C22semidirect
122. #19127916C22semidirect
123. #19127915C22semidirect
124. #19127915C22semidirect
125. #19127915C22semidirect
126. #19127914C22semidirect
127. #19127914C22semidirect
129. #19127894C22semidirect
131. #19127865C22semidirect
132. #19127864C22semidirect
133. #19127854C22semidirect
134. #19127852C22semidirect
137. #19127835C22semidirect
139. #19127833C22semidirect
140. #19127833C22semidirect
141. #19127830C22semidirect
142. C8×Dic166C22semidirect
143. #19127813C22semidirect
144. #19127813C22semidirect
147. #19127810C22semidirect
148. #19127810C22semidirect
149. #19127801C22semidirect
150. #19127800C22semidirect
151. #19127800C22semidirect
152. #19127798C22semidirect
153. #19127798C22semidirect
154. #19127798C22semidirect
155. #19127795C22semidirect
156. #19127792C22semidirect
157. #19127792C22semidirect
158. #19127792C22semidirect
159. C4×#13050579C22semidirect
160. D8×Dic83C22semidirect
163. #19127781C22semidirect
164. #19127781C22semidirect
165. #19127781C22semidirect
166. #19127781C22semidirect
167. #19127781C22semidirect
168. #19127781C22semidirect
169. #19127781C22semidirect
170. #19127776C22semidirect
171. #19127773C22semidirect
172. #19127769C22semidirect
173. C8×C22⋊D83C22semidirect
174. C8×C22⋊D83C22semidirect
175. #19127761C22semidirect
176. #19127759C22semidirect
177. #19127755C22semidirect
178. #19127742C22semidirect
179. #19127741C22semidirect
180. C2×#14581725C22semidirect
181. #19127698C22semidirect
182. #19127694C22semidirect
183. C2×#14581714C22semidirect
184. #102×D83C22semidirect
185. #19127656C22semidirect
186. #19127655C22semidirect
187. C2×C8×Dic83C22semidirect
189. D42×C83C22semidirect
190. #486×C83C22semidirect
191. #480×C83C22semidirect
192. #480×C83C22semidirect
193. #474×C83C22semidirect
195. #466×C83C22semidirect
196. #459×C83C22semidirect
198. #447×C83C22semidirect
199. C4×D8×C83C22semidirect
200. C8×D4×C83C22semidirect
201. C2×#102×C83C22semidirect
202. C2×#102×C83C22semidirect
546. #13050575#41semidirect
895. #3294D83semidirect
912. C83#61489semidirect
939. D42C2×D83semidirect
972. #486C2×D83semidirect
983. #480C2×D83semidirect
984. #480C2×D83semidirect
996. #474C2×D83semidirect
1004. #466C2×D83semidirect
1020. #459C2×D83semidirect
1032. #447C2×D83semidirect
1062. C4×D8C2×D83semidirect
1068. C8×D4C2×D83semidirect
1079. C2×#102C2×D83semidirect
1080. C2×#102C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249213982
#249213882
#249205462
#249204162
#249201282
#249201242
#249200692
#249199072
#249198972
#249193092
#249193082
#249193002
#249192942
#249192712
#249190742
#249189392
#249189362
#249181532
#249181492
#249180282
#249177302
#249177202
#249177042
#249177002
#249175982
#249175962
#249164312
#249162892
#249162882
C2×#191277812
C83×#32942
#6148983