Finite Group Databasebeta

← #36287315

Subgroups — #36287315

Order 21248.

1946 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24921499C211yesmaximal, characteristic, complemented
2#24921482C211yesmaximal, characteristic, complemented
3#24920480C211yesmaximal, characteristic, complemented
4#24920363C211yesmaximal, characteristic, complemented
5#24920107C211yesmaximal, characteristic, complemented
6#24920093C211yesmaximal, characteristic, complemented
7#24920053C211yesmaximal, characteristic, complemented
8#24919954C211yesmaximal, characteristic, complemented
9#24919950C211yesmaximal, characteristic, complemented
10#24919384C211yesmaximal, characteristic, complemented
11#24919317C211yesmaximal, characteristic, complemented
12#24919313C211yesmaximal, characteristic, complemented
13#24919287C211yesmaximal, characteristic, complemented
14#24919280C211yesmaximal, characteristic, complemented
15#24919269C211yesmaximal, characteristic, complemented
16#24919057C211yesmaximal, characteristic, complemented
17#24918943C211yesmaximal, characteristic, complemented
18#24918147C211yesmaximal, characteristic, complemented
19#24918143C211yesmaximal, characteristic, complemented
20#24918017C211yesmaximal, characteristic, complemented
21#24917659C211yesmaximal, characteristic, complemented
22#24917655C211yesmaximal, characteristic, complemented
23#24917644C211yesmaximal, characteristic, complemented
24#24917640C211yesmaximal, characteristic, complemented
25#24917557C211yesmaximal, characteristic, complemented
26#24917549C211yesmaximal, characteristic, complemented
27#24916433C211yesmaximal, characteristic, complemented
28#24916296C211yesmaximal, characteristic, complemented
29#24916292C211yesmaximal, characteristic, complemented
30C2×D8×Dic83C211yesmaximal, characteristic, complemented
31C83×#3264C211yesmaximal, characteristic, complemented
32C2×#14581816C2211yescharacteristic
33#19128420C2211yescharacteristic, complemented
34#19128415C2211yescharacteristic, complemented
35#19128410C2211yescharacteristic, complemented
36#19128409C2211yescharacteristic, complemented
37#19128408C2211yescharacteristic, complemented
38#19128403C2211yescharacteristic
39#19128397C2211yescharacteristic
40#19128394—21no—
41#19128388—21no—
42#19128382—21no—
43#19128377—21no—
44#19128371C2211yescharacteristic, complemented
45D4×Dic166C2211yescharacteristic, complemented
46#19128357—21no—
47#19128351C2211yescharacteristic, complemented
48#19128350C2211yescharacteristic, complemented
49#19128345—21no—
50#19128345C2211yescharacteristic, complemented
51#19128338—21no—
52#19128338—21no—
53D4×C22⋊D83C2211yescharacteristic
54D4×C22⋊D83C2211yescharacteristic, complemented
55#19128320C2211yescharacteristic, complemented
56#19128318C2211yescharacteristic, complemented
57#19128305C2211yescharacteristic, complemented
58#19128304C2211yescharacteristic, complemented
59#19128296—21no—
60#19128295—21no—
61#19128288—21no—
62#19128286—21no—
63#19128253C2211yescharacteristic, complemented
64#19128246C2211yescharacteristic
65#19128231C2211yescharacteristic
66#19128207—21no—
67#19128207—21no—
68C2×#14581769—21no—
69C2×#14581764—21no—
70#19128184C2211yescharacteristic, complemented
71#19128180C2211yescharacteristic, complemented
72#19128176C2211yescharacteristic, complemented
73#19128173C2211yescharacteristic, complemented
74C2×D4×Dic83C2211yescharacteristic
75C2×D4×Dic83C2211yescharacteristic, complemented
76#19128110C2211yescharacteristic, complemented
77#19128108C2211yescharacteristic, complemented
78#19128098C2211yescharacteristic, complemented
79#19128089C2211yescharacteristic, complemented
80#19128072C2211yescharacteristic, complemented
81#19128055C2211yescharacteristic, complemented
82#19128054C2211yescharacteristic, complemented
83#19128050C2211yescharacteristic, complemented
84#19128047C2211yescharacteristic, complemented
85#19128046C2211yescharacteristic, complemented
86#19128046C2211yescharacteristic, complemented
87#19128043C2211yescharacteristic, complemented
88#19128041C2211yescharacteristic, complemented
89#19128037C2211yescharacteristic, complemented
90#19128034C2211yescharacteristic, complemented
91#19128023C2211yescharacteristic, complemented
92#19128022C2211yescharacteristic, complemented
93#19128020C2211yescharacteristic, complemented
94#19128018C2211yescharacteristic, complemented
95#19128017C2211yescharacteristic, complemented
96#19128017C2211yescharacteristic, complemented
97#19128015C2211yescharacteristic, complemented
98#19128013C2211yescharacteristic, complemented
99#19128010C2211yescharacteristic, complemented
100#19128009C2211yescharacteristic, complemented
101#19128001C2211yescharacteristic, complemented
102#19127999C2211yescharacteristic, complemented
103#19127991C2211yescharacteristic, complemented
104#19127989C2211yescharacteristic, complemented
105#19127989C2211yescharacteristic, complemented
106#19127989C2211yescharacteristic, complemented
107#19127982C2211yescharacteristic, complemented
108#19127979C2211yescharacteristic, complemented
109#19127979C2211yescharacteristic, complemented
110#19127979C2211yescharacteristic, complemented
111#19127951C2211yescharacteristic, complemented
112#19127947C2211yescharacteristic, complemented
113#19127944C2211yescharacteristic, complemented
114#19127935C2211yescharacteristic, complemented
115#19127934C2211yescharacteristic, complemented
116#19127932C2211yescharacteristic, complemented
117#19127930C2211yescharacteristic, complemented
118#19127928C2211yescharacteristic, complemented
119#19127928C2211yescharacteristic, complemented
120#19127927C2211yescharacteristic, complemented
121#19127914C2211yescharacteristic
122#19127914C2211yescharacteristic, complemented
123#19127913C2211yescharacteristic, complemented
124#19127904C2211yescharacteristic, complemented
125#19127904C2211yescharacteristic, complemented
126#19127899C2211yescharacteristic, complemented
127#19127898C2211yescharacteristic, complemented
128#19127894C2211yescharacteristic, complemented
129#19127894C2211yescharacteristic, complemented
130#19127894C2211yescharacteristic, complemented
131#19127852C2211yescharacteristic
132#19127852C2211yescharacteristic, complemented
133#19127850C2211yescharacteristic, complemented
134#19127846C2211yescharacteristic, complemented
135#19127843C2211yescharacteristic, complemented
136#19127843C2211yescharacteristic, complemented
137#19127835C2211yescharacteristic, complemented
138#19127833C2211yescharacteristic
139#19127829C2211yescharacteristic, complemented
140#19127825C2211yescharacteristic, complemented
141#19127813C2211yescharacteristic
142#19127813C2211yescharacteristic, complemented
143#19127813C2211yescharacteristic, complemented
144#19127810C2211yescharacteristic, complemented
145#19127810C2211yescharacteristic, complemented
146#19127803C2211yescharacteristic, complemented
147#19127802C2211yescharacteristic, complemented
148#19127802C2211yescharacteristic, complemented
149#19127802C2211yescharacteristic, complemented
150#19127798C2211yescharacteristic, complemented
151#19127798C2211yescharacteristic, complemented
152#19127792C2211yescharacteristic, complemented
153SD16×Dic83C2211yescharacteristic, complemented
154SD16×Dic83C2211yescharacteristic, complemented
155#19127788C2211yescharacteristic, complemented
156C4×#13050578C2211yescharacteristic, complemented
157#19127786C2211yescharacteristic, complemented
158D8×Dic83C2211yescharacteristic
159D8×Dic83C2211yescharacteristic
160D8×Dic83C2211yescharacteristic
161D8×Dic83C2211yescharacteristic
162D8×Dic83C2211yescharacteristic, complemented
163D8×Dic83C2211yescharacteristic, complemented
164D8×Dic83C2211yescharacteristic, complemented
165D8×Dic83C2211yescharacteristic, complemented
166D8×Dic83C2211yescharacteristic, complemented
167C4×#13050575C2211yescharacteristic, complemented
168#19127777C2211yescharacteristic, complemented
169#19127772C2211yescharacteristic, complemented
170D4×C83⋊C8C2211yescharacteristic, complemented
171(C22⋊D83)⋊C8C2211yescharacteristic, complemented
172(C22⋊D83)⋊C8C2211yescharacteristic, complemented
173#19127761C2211yescharacteristic, complemented
174#19127759C2211yescharacteristic, complemented
175#19127755C2211yescharacteristic, complemented
176#19127743C2211yescharacteristic, complemented
177#19127740C2211yescharacteristic, complemented
178C2×#14581726C2211yescharacteristic, complemented
179#19127697C2211yescharacteristic, complemented
180#19127694C2211yescharacteristic, complemented
181C2×#14581713C2211yescharacteristic
182C2×#14581713C2211yescharacteristic, complemented
183C2×#14581713C2211yescharacteristic, complemented
184#102×D83C2211yescharacteristic, complemented
185#19127659C2211yescharacteristic, complemented
186#19127658C2211yescharacteristic, complemented
187C2×C8×Dic83C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C83C2211yescharacteristic
189C22×D8×C83C2211yescharacteristic
190#546×C83C2211yescharacteristic, complemented
191D42×C83C2211yescharacteristic
192#496×C83C2211yescharacteristic, complemented
193#469×C83C2211yescharacteristic, complemented
194#465×C83C2211yescharacteristic, complemented
195#463×C83C2211yescharacteristic
196#459×C83C2211yescharacteristic, complemented
197#450×C83C2211yescharacteristic
198#449×C83C2211yescharacteristic, complemented
199#447×C83C2211yescharacteristic
200#447×C83C2211yescharacteristic, complemented
201#442×C83C2211yescharacteristic
202#435×C83C2211yescharacteristic, complemented
203C2×#13050589—21no—
204C2×#13050589—21no—
205C2×#13050589—21no—
206C2×#13050589C2311yescharacteristic
207C22×Dic166—21no—
208C22×C22⋊D83—21no—
209C22×C22⋊D83—21no—
210C2×D4×D83C2311yescharacteristic
211C23×Dic83—21no—
212C23×Dic83—21no—
213#14581816—24no—
214C2×#13050579C2311yescharacteristic
215C2×#13050578C2311yescharacteristic
216C2×#13050578C2311yescharacteristic
217C2×#13050578C2311yescharacteristic
218C2×#13050577C2311yescharacteristic
219C2×#13050575C2311yescharacteristic
220C2×#13050575C2311yescharacteristic
221C2×#13050573C2311yescharacteristic
222C22×C83⋊C8C2311yescharacteristic
223C22×C83⋊C8C2311yescharacteristic
224C2×C8×D83C2311yescharacteristic
225#14581792C2311yescharacteristic
226#14581791C2311yescharacteristic
227#14581791C2311yescharacteristic
228#14581791C2311yescharacteristic
229#14581790C2311yescharacteristic
230#14581788C2311yescharacteristic
231#14581788C2311yescharacteristic
232#14581787—21no—
233#14581787D411yescharacteristic
234#14581785—21no—
235#14581785—21no—
236#14581785—21no—
237#14581785—21no—
238#14581785—21no—
239#14581785D411yescharacteristic
240#14581784C2311yescharacteristic
241#14581783—21no—
242#14581783C2311yescharacteristic
243#14581782—21no—
244#14581782—21no—
245#14581782D411yescharacteristic
246#14581779—21no—
247#14581779—21no—
248#14581779C2311yescharacteristic
249#14581778—21no—
250#14581778—21no—
251#14581778—21no—
252#14581778D411yescharacteristic
253#14581776—21no—
254#14581776—21no—
255#14581776—21no—
256#14581776D411yescharacteristic
257#14581775—21no—
258#14581774—21no—
259#14581774—21no—
260#14581774—21no—
261#14581773—21no—
262#14581773—21no—
263#14581773—21no—
264#14581773—21no—
265#14581773—21no—
266#14581773—21no—
267#14581773D411yescharacteristic
268#14581772—21no—
269#14581771—21no—
270#14581771—21no—
271#14581771C2311yescharacteristic
272#14581771C2311yescharacteristic
273#14581769—21no—
274#14581769—21no—
275#14581769—21no—
276#14581769—21no—
277#14581769—21no—
278#14581769—21no—
279#14581769—21no—
280#14581769—21no—
281#14581769—21no—
282#14581769—21no—
283#14581769—21no—
284#14581769—21no—
285#14581769D411yescharacteristic
286#14581768C2311yescharacteristic
287#14581766C2311yescharacteristic
288#14581766C2311yescharacteristic
289#14581764—21no—
290#14581764—21no—
291#14581764—21no—
292#14581764—21no—
293#14581764—21no—
294#14581764—21no—
295#14581764—21no—
296#14581764—21no—
297#14581764—21no—
298#14581764—21no—
299#14581764—21no—
300#14581764—21no—
301#14581764—21no—
302#14581764D411yescharacteristic
303#14581763—21no—
304#14581763—21no—
305#14581763C2311yescharacteristic
306#14581763C2311yescharacteristic
307#14581763C2311yescharacteristic
308#14581761—21no—
309#14581761—21no—
310#14581761—21no—
311#14581760—21no—
312#14581760—21no—
313Q8×Dic83C2311yescharacteristic
314Q8×Dic83C2311yescharacteristic
315C4×Dic166C2311yescharacteristic
316C4×Dic166C2311yescharacteristic
317#14581757—21no—
318#14581757C2311yescharacteristic
319C4×D332C2311yescharacteristic
320D4×Dic83—21no—
321D4×Dic83—21no—
322D4×Dic83—21no—
323D4×Dic83—21no—
324D4×Dic83—21no—
325D4×Dic83—21no—
326D4×Dic83—21no—
327D4×Dic83—21no—
328D4×Dic83—21no—
329D4×Dic83—21no—
330D4×Dic83C2311yescharacteristic
331D4×Dic83C2311yescharacteristic
332D4×Dic83C2311yescharacteristic
333D4×Dic83C2311yescharacteristic
334D4×Dic83C2311yescharacteristic
335D4×Dic83C2311yescharacteristic
336D4×Dic83C2311yescharacteristic
337D4×Dic83C2311yescharacteristic
338D4×Dic83C2311yescharacteristic
339D4×Dic83C2311yescharacteristic
340D4×Dic83C2311yescharacteristic
341D4×Dic83C2311yescharacteristic
342#14581754C2311yescharacteristic
343C4×C22⋊D83—21no—
344C4×C22⋊D83—21no—
345C4×C22⋊D83C2311yescharacteristic
346C4×C22⋊D83C2311yescharacteristic
347(C22⋊D83)⋊C4—21no—
348(C22⋊D83)⋊C4—21no—
349(C22⋊D83)⋊C4—21no—
350(C22⋊D83)⋊C4—21no—
351(C22⋊D83)⋊C4—21no—
352#14581751—21no—
353#14581751C2311yescharacteristic
354#14581751C2311yescharacteristic
355#14581750C2311yescharacteristic
356#14581749C2311yescharacteristic
357#14581748—21no—
358#14581748—21no—
359#14581748—21no—
360#14581748—21no—
361C2×C4⋊Dic83—21no—
362C2×C4⋊Dic83C2311yescharacteristic
363C2×C4⋊Dic83C2311yescharacteristic
364C2×C4⋊Dic83C2311yescharacteristic
365C2×Dic83⋊C4—21no—
366C2×Dic83⋊C4—21no—
367C2×Dic83⋊C4—21no—
368C4⋊C4×D83C2311yescharacteristic
369C2×C22⋊Dic83—21no—
370C2×C22⋊Dic83—21no—
371C2×C22⋊Dic83—21no—
372C2×C22⋊Dic83—21no—
373C2×C22⋊Dic83—21no—
374C2×(C2×D83)⋊C4—21no—
375C22⋊C4×D83—21no—
376C2×C4×Dic83C2311yescharacteristic
377#14581726C2311yescharacteristic
378#14581726C2311yescharacteristic
379#14581726C2311yescharacteristic
380#14581726C2311yescharacteristic
381#14581726C2311yescharacteristic
382#14581726C2311yescharacteristic
383#14581725C2311yescharacteristic
384#14581725C2311yescharacteristic
385#14581724C2311yescharacteristic
386#14581724C2311yescharacteristic
387#14581724C2311yescharacteristic
388#14581723C2311yescharacteristic
389#14581723C2311yescharacteristic
390#14581723C2311yescharacteristic
391#14581723C2311yescharacteristic
392C4⋊(C83⋊C8)C2311yescharacteristic
393Dic83⋊C8C2311yescharacteristic
394Dic83⋊C8C2311yescharacteristic
395Dic83⋊C8C2311yescharacteristic
396Dic83⋊C8C2311yescharacteristic
397#14581717C2311yescharacteristic
398#14581717C2311yescharacteristic
399#14581717C2311yescharacteristic
400#14581716C2311yescharacteristic
401#14581716C2311yescharacteristic
402#14581716C2311yescharacteristic
403#14581715C2311yescharacteristic
404#14581714C2311yescharacteristic
405#14581714C2311yescharacteristic
406#14581714C2311yescharacteristic
407#14581713C2311yescharacteristic
408#14581713C2311yescharacteristic
409#14581713C2311yescharacteristic
410#14581713C2311yescharacteristic
411#14581713C2311yescharacteristic
412#14581713C2311yescharacteristic
413#14581713C2311yescharacteristic
414#14581713C2311yescharacteristic
415#14581713C2311yescharacteristic
416#14581713C2311yescharacteristic
417#14581713C2311yescharacteristic
418#14581713C2311yescharacteristic
419#14581713C2311yescharacteristic
420#14581713C2311yescharacteristic
421#14581713C2311yescharacteristic
422#14581712C2311yescharacteristic
423C22⋊(C83⋊C8)C2311yescharacteristic
424C22⋊(C83⋊C8)C2311yescharacteristic
425(C2×D83)⋊C8C2311yescharacteristic
426(C2×D83)⋊C8C2311yescharacteristic
427#14581702C2311yescharacteristic
428#14581702C2311yescharacteristic
429#14581702C2311yescharacteristic
430C4×C83⋊C8C2311yescharacteristic
431C8×Dic83C2311yescharacteristic
432C8×Dic83C2311yescharacteristic
433C8×Dic83C2311yescharacteristic
434C8×Dic83C2311yescharacteristic
435C8×Dic83C2311yescharacteristic
436C2×#41×C83C2311yescharacteristic
437C22×D4×C83—21no—
438C22×D4×C83C2311yescharacteristic
439C22×D4×C83C2311yescharacteristic
440C22×D4×C83C2311yescharacteristic
441AGL(1,ℤ/8)×C83—24no—
442C2×SD16×C83C2311yescharacteristic
443C2×SD16×C83C2311yescharacteristic
444C2×SD16×C83C2311yescharacteristic
445C2×D8×C83—24no—
446C2×D8×C83C2311yescharacteristic
447C2×D8×C83C2311yescharacteristic
448C2×D8×C83C2311yescharacteristic
449C2×D8×C83C2311yescharacteristic
450C2×D8×C83C2311yescharacteristic
451C2×D8×C83C2311yescharacteristic
452C2×M16×C83C2311yescharacteristic
453C22×C8×C83C2311yescharacteristic
454#127×C83C2311yescharacteristic
455#124×C83C2311yescharacteristic
456#123×C83—21no—
457C22⋊Q8×C83C2311yescharacteristic
458#121×C83—21no—
459#121×C83—21no—
460#121×C83C2311yescharacteristic
461#121×C83C2311yescharacteristic
462#121×C83C2311yescharacteristic
463#120×C83—21no—
464#120×C83—21no—
465#120×C83—21no—
466C4×D4×C83C2311yescharacteristic
467C4×D4×C83C2311yescharacteristic
468C4×D4×C83C2311yescharacteristic
469C2×C22⋊C4×C83—21no—
470#106×C83C2311yescharacteristic
471C4⋊C8×C83C2311yescharacteristic
472#103×C83C2311yescharacteristic
473#102×C83C2311yescharacteristic
474#102×C83C2311yescharacteristic
475#102×C83C2311yescharacteristic
476#102×C83C2311yescharacteristic
477#102×C83C2311yescharacteristic
478C22⋊C8×C83C2311yescharacteristic
479C22⋊C8×C83C2311yescharacteristic
480#97×C83C2311yescharacteristic
481C23×D83—21no—
482#13050589—22no—
483#13050589—41no—
484#13050589—82no—
485#13050589—82no—
486#13050589—82no—
487C2×Dic166—21no—
488C2×Dic166—21no—
489C2×Dic166—21no—
490C2×Dic166—21no—
491C2×Dic166—82no—
492C2×Dic166C2×D411yescharacteristic
493C2×Dic166C2411yescharacteristic
494C2×D332C2411yescharacteristic
495C2×C22⋊D83—21no—
496C2×C22⋊D83—21no—
497C2×C22⋊D83—21no—
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⋊D83—82no—
507C2×C22⋊D83—82no—
508C2×C22⋊D83C2×D411yescharacteristic
509C2×C22⋊D83C2×D411yescharacteristic
510D4×D83—22no—
511D4×D83—41no—
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—21no—
522C22×Dic83—21no—
523C22×Dic83—21no—
524C22×Dic83—21no—
525C22×Dic83—21no—
526C22×Dic83—21no—
527C22×Dic83—21no—
528C22×Dic83—82no—
529C22×Dic83—82no—
530C22×Dic83C2×D411yescharacteristic
531C22×Dic83C2×D411yescharacteristic
532C2×C4×D83—21no—
533C2×C4×D83—21no—
534C2×C4×D83—21no—
535C2×C4×D83C2411yescharacteristic
536#13050579—22no—
537#13050578—22no—
538#13050578—41no—
539#13050578—41no—
540#13050577—41no—
541#13050575—22no—
542#13050575—41no—
543#13050573—22no—
544C2×C83⋊C8—41no—
545C2×C83⋊C8—41no—
546C2×C83⋊C8C2411yescharacteristic
547C2×C83⋊C8C2411yescharacteristic
548C2×C83⋊C8C2411yescharacteristic
549C2×C83⋊C8C2411yescharacteristic
550C8×D83—41no—
551C4⋊Dic83—21no—
552C4⋊Dic83—21no—
553C4⋊Dic83—21no—
554C4⋊Dic83—21no—
555C4⋊Dic83—21no—
556C4⋊Dic83—21no—
557C4⋊Dic83—21no—
558C4⋊Dic83C2×D411yescharacteristic
559C4⋊Dic83C2×D411yescharacteristic
560C4⋊Dic83C2×D411yescharacteristic
561C4⋊Dic83C2411yescharacteristic
562C4⋊Dic83C2411yescharacteristic
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)⋊C4C2×D411yescharacteristic
618(C2×D83)⋊C4C2×D411yescharacteristic
619(C2×D83)⋊C4C2×D411yescharacteristic
620(C2×D83)⋊C4C2×D411yescharacteristic
621C4×Dic83—21no—
622C4×Dic83—21no—
623C4×Dic83—21no—
624C4×Dic83—21no—
625C4×Dic83—21no—
626C4×Dic83—21no—
627C4×Dic83C2×D411yescharacteristic
628C4×Dic83C2×D411yescharacteristic
629C4×Dic83C2411yescharacteristic
630C4×Dic83C2411yescharacteristic
631C4×Dic83C2411yescharacteristic
632C24×C83—21no—
633C24×C83—21no—
634C24×C83—21no—
635#41×C83—22no—
636#41×C83—41no—
637C2×Q8×C83C2411yescharacteristic
638C2×D4×C83—22no—
639C2×D4×C83—22no—
640C2×D4×C83—22no—
641C2×D4×C83—21no—
642C2×D4×C83—21no—
643C2×D4×C83—21no—
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—41no—
651C2×D4×C83—41no—
652C2×D4×C83—41no—
653C2×D4×C83—82no—
654C2×D4×C83C2×D411yescharacteristic
655C2×D4×C83C2411yescharacteristic
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×C83C2411yescharacteristic
664C22×C4×C83C2411yescharacteristic
665SD16×C83—22no—
666SD16×C83—22no—
667SD16×C83—41no—
668D8×C83—22no—
669D8×C83—22no—
670D8×C83—22no—
671D8×C83—22no—
672D8×C83—41no—
673D8×C83#4114yescomplemented
674M16×C83—22no—
675C2×C8×C83—22no—
676C2×C8×C83C2411yescharacteristic
677C2×C8×C83C2411yescharacteristic
678C2×C8×C83C2411yescharacteristic
679C2×C8×C83C2411yescharacteristic
680C4⋊C4×C83—21no—
681C4⋊C4×C83C2×D411yescharacteristic
682C4⋊C4×C83C2411yescharacteristic
683C4⋊C4×C83C2411yescharacteristic
684C22⋊C4×C83—21no—
685C22⋊C4×C83—21no—
686C22⋊C4×C83—21no—
687C22⋊C4×C83—21no—
688C22⋊C4×C83—21no—
689C22⋊C4×C83—21no—
690C22⋊C4×C83—21no—
691C22⋊C4×C83—21no—
692C22⋊C4×C83C2×D411yescharacteristic
693C22⋊C4×C83C2×D411yescharacteristic
694C42×C83C2411yescharacteristic
695C23×C83—21no—
696C23×C83—21no—
697C23×C83—21no—
698C23×C83—21no—
699C23×C83—21no—
700C23×C83—42no—
701C23×C83—42no—
702C23×C83—42no—
703C23×C83—42no—
704C23×C83—42no—
705C23×C83—81no—
706C23×C83—81no—
707C23×C83—81no—
708C23×C83—81no—
709C23×C83C22×D411yescharacteristic
710C23×C83C22×D411yescharacteristic
711C22×D83—21no—
712C22×D83—42no—
713C22×D83—81no—
714C22×D83—81no—
715C22×D83C22×D411yescharacteristic
716Q8×C83—21no—
717Q8×C83—21no—
718D4×C83—22no—
719D4×C83—21no—
720D4×C83—21no—
721D4×C83—21no—
722D4×C83—21no—
723D4×C83—21no—
724D4×C83—21no—
725D4×C83—21no—
726D4×C83—21no—
727D4×C83—42no—
728D4×C83—42no—
729D4×C83—42no—
730D4×C83—42no—
731D4×C83—42no—
732D4×C83—81no—
733D4×C83—81no—
734D4×C83—81no—
735D4×C83—81no—
736D4×C83C2×#4112yes—
737D4×C83C2×#4112yes—
738C2×C4×C83—21no—
739C2×C4×C83—21no—
740C2×C4×C83—21no—
741C2×C4×C83—21no—
742C2×C4×C83—21no—
743C2×C4×C83—21no—
744C2×C4×C83—21no—
745C2×C4×C83—42no—
746C2×C4×C83—81no—
747C2×C4×C83—81no—
748C2×C4×C83C22×D411yescharacteristic
749C2×C4×C83C22×D411yescharacteristic
750C2×C4×C83C22×D411yescharacteristic
751C2×C4×C83C22×D411yescharacteristic
752C2×C4×C83C2511yescharacteristic
753C22⋊D83—22no—
754C22⋊D83—22no—
755C22⋊D83—42no—
756C22⋊D83—42no—
757C22⋊D83—42no—
758C22⋊D83—42no—
759C22⋊D83—81no—
760C22⋊D83—81no—
761C22⋊D83—81no—
762C22⋊D83—81no—
763C22⋊D83—81no—
764C22⋊D83—81no—
765C22⋊D83—81no—
766C2×Dic83—22no—
767C2×Dic83—22no—
768C2×Dic83—21no—
769C2×Dic83—21no—
770C2×Dic83—21no—
771C2×Dic83—21no—
772C2×Dic83—21no—
773C2×Dic83—21no—
774C2×Dic83—21no—
775C2×Dic83—42no—
776C2×Dic83—42no—
777C2×Dic83—42no—
778C2×Dic83—42no—
779C2×Dic83—42no—
780C2×Dic83—81no—
781C2×Dic83—81no—
782C2×Dic83—81no—
783C2×Dic83—81no—
784C2×Dic83—81no—
785C2×Dic83—81no—
786C2×Dic83—81no—
787C2×Dic83—81no—
788C2×Dic83—81no—
789C2×Dic83—81no—
790C2×Dic83—81no—
791C2×Dic83C22×D411yescharacteristic
792C2×Dic83C22×D411yescharacteristic
793C2×Dic83C22×D411yescharacteristic
794C2×Dic83C22×D411yescharacteristic
795C2×Dic83C22×D411yescharacteristic
796C2×Dic83C22×D411yescharacteristic
797C2×Dic83C22×D411yescharacteristic
798D332—21no—
799D332—21no—
800C4×D83—21no—
801C4×D83—21no—
802C4×D83—81no—
803C4×D83—81no—
804C4×D83—81no—
805Dic166—22no—
806Dic166—21no—
807Dic166—21no—
808Dic166—42no—
809Dic166—81no—
810Dic166—81no—
811Dic166—81no—
812C8×C83—21no—
813C8×C83—21no—
814C8×C83—21no—
815C8×C83C2×#4112yes—
816C83⋊C8—21no—
817C83⋊C8—21no—
818C83⋊C8—21no—
819C83⋊C8—21no—
820C22×C83—21no—
821C22×C83—21no—
822C22×C83—22no—
823C22×C83—22no—
824C22×C83—21no—
825C22×C83—21no—
826C22×C83—21no—
827C22×C83—41no—
828C22×C83—41no—
829C22×C83—41no—
830C22×C83—41no—
831C22×C83—41no—
832C22×C83—41no—
833C22×C83—41no—
834C22×C83—41no—
835C22×C83—41no—
836C22×C83—41no—
837C22×C83—41no—
838C22×C83—41no—
839C22×C83—41no—
840C22×C83—84no—
841C22×C83—84no—
842C22×C83—162no—
843C22×C83#57712yes—
844C22×C83C23×D411yescharacteristic
845C2×D83—21no—
846C2×D83—21no—
847C2×D83—21no—
848C2×D83—41no—
849C2×D83—41no—
850C2×D83—41no—
851C2×D83—162no—
852C4×C83—21no—
853C4×C83—21no—
854C4×C83—21no—
855C4×C83—21no—
856C4×C83—41no—
857C4×C83—41no—
858C4×C83—41no—
859C4×C83C22×#4111yescharacteristic
860C4×C83#58511yescharacteristic
861Dic83—21no—
862Dic83—21no—
863Dic83—21no—
864Dic83—21no—
865Dic83—21no—
866Dic83—21no—
867Dic83—41no—
868Dic83—41no—
869Dic83—41no—
870Dic83—41no—
871Dic83—41no—
872Dic83—41no—
873Dic83—41no—
874Dic83#57612yes—
875#61496—831nomaximal, Sylow
876C2×C83—22no—
877C2×C83—42no—
878C2×C83—41no—
879C2×C83—42no—
880C2×C83—81no—
881C2×C83—81no—
882C2×C83—81no—
883C2×C83D4×#4111yescharacteristic
884C2×C83C2×#57611yescharacteristic
885C2×C83C2×#57711yescharacteristic
886D83—41no—
887D83—81no—
888#3520—831no—
889#3519—831no—
890#3397—831no—
891#3384—831no—
892#3360—831no—
893#3358—831no—
894#3354—831no—
895#3346—831no—
896#3346—831no—
897#3303—831no—
898#3297—831no—
899#3297—831no—
900#3295—831no—
901#3295—831no—
902#3294—831no—
903#3272—831no—
904#3264—831no—
905#3264D8311yescharacteristic, complemented
906#3179—831no—
907#3179—831no—
908#3167—831no—
909#3119—831no—
910#3119—831no—
911#3118—831no—
912#3118—831no—
913#3110—831no—
914#3109—831no—
915#2966—831no—
916#2946—831no—
917#2946—831no—
918C2×C4×D8—831no—
919C83#6149611yescharacteristic, complemented, Sylow
920C2×AGL(1,ℤ/8)—831no—
921C2×AGL(1,ℤ/8)C2×D8311yescharacteristic
922C22×D8C2×D8311yescharacteristic
923#556—831no—
924#555—831no—
925#554—831no—
926#554—831no—
927#554—831no—
928#553—831no—
929#553—831no—
930#553—1661no—
931#552—1661no—
932#551—1661no—
933#551—1661no—
934#550—831no—
935D4×Q8—831no—
936#548—1661no—
937#547—831no—
938#547—831no—
939#546—831no—
940#546—1661no—
941#546—1661no—
942#546—1661no—
943#546C2×D8311yescharacteristic, complemented
944D42—831no—
945D42—831no—
946D42C2×D8311yescharacteristic
947#542—831no—
948#542—831no—
949#540—831no—
950#540—831no—
951#539—1661no—
952#539—1661no—
953#538—1661no—
954#538—1661no—
955#533—831no—
956#532—831no—
957#529—831no—
958#525—1661no—
959#525—1661no—
960C2×C22⋊Q8—1661no—
961C2×#121—1661no—
962#520—831no—
963#520—831no—
964#518—831no—
965#518—831no—
966C2×C4×D4—831no—
967C2×C4×D4—831no—
968#501—831no—
969#501—831no—
970#498—831no—
971#496—831no—
972#496C2×D8311yescharacteristic, complemented
973#492—831no—
974#488—831no—
975#488—831no—
976#487—831no—
977#486—831no—
978#486—831no—
979#486—831no—
980#485—831no—
981#485—831no—
982#484—831no—
983#484—831no—
984#482—831no—
985#482—831no—
986#481—831no—
987#481—831no—
988#481—831no—
989#481—831no—
990#480—831no—
991#480—831no—
992#479—831no—
993#479—831no—
994#478—831no—
995#478—831no—
996#476—831no—
997#476—831no—
998#476—831no—
999#476—831no—
1000#474—831no—
1001#474—831no—
1002#474—831no—
1003#474—831no—
1004#469—831no—
1005#469C2×D8311yescharacteristic, complemented
1006#468—831no—
1007#468—831no—
1008#466—831no—
1009#466—831no—
1010#465—831no—
1011#465—831no—
1012#465—831no—
1013#465—831no—
1014#465—831no—
1015#465C2×D8311yescharacteristic, complemented
1016#463—831no—
1017#463—831no—
1018#463—831no—
1019#463C2×D8311yescharacteristic
1020#461—831no—
1021#461—831no—
1022#460—831no—
1023#460—831no—
1024#459—831no—
1025#459—831no—
1026#459—831no—
1027#459C2×D8311yescharacteristic, complemented
1028#450—831no—
1029#450—831no—
1030#450—831no—
1031#450C2×D8311yescharacteristic
1032#449—831no—
1033#449—831no—
1034#449—831no—
1035#449C2×D8311yescharacteristic, complemented
1036#447—831no—
1037#447—831no—
1038#447C2×D8311yescharacteristic
1039#447C2×D8311yescharacteristic, complemented
1040#446—831no—
1041C8×Q8—831no—
1042#442—831no—
1043#442—831no—
1044#442—831no—
1045#442—831no—
1046#442—831no—
1047#442C2×D8311yescharacteristic
1048#440—831no—
1049#440—831no—
1050#440—831no—
1051#440—831no—
1052#440—831no—
1053#440—831no—
1054C4×SD16—831no—
1055C4×SD16—831no—
1056C4×SD16—831no—
1057C4×SD16—831no—
1058C4×SD16—831no—
1059C4×SD16—831no—
1060C4×D8—831no—
1061C4×D8—831no—
1062C4×D8—831no—
1063C4×D8—831no—
1064C4×D8—831no—
1065C4×D8—831no—
1066C4×D8—831no—
1067C4×D8—831no—
1068C4×D8—831no—
1069C4×D8—831no—
1070#436—831no—
1071#435—831no—
1072#435C2×D8311yescharacteristic, complemented
1073C8×D4—831no—
1074C8×D4—831no—
1075C8×D4—831no—
1076#433—831no—
1077#433—831no—
1078#432—831no—
1079#428—831no—
1080#428—831no—
1081C2×#107—831no—
1082#416—831no—
1083#416—831no—
1084C2×#102—831no—
1085C2×#102—831no—
1086C2×#102—831no—
1087C2×#102—831no—
1088#405—831no—
1089#405—831no—
1090C2×C4×C8—831no—
1091C2×#41—831no—
1092C2×#41—1661no—
1093C2×#41—1661no—
1094C2×#41—1661no—
1095C2×#41C22×D8311yescharacteristic
1096C22×Q8—1661no—
1097C22×D4—21no—
1098C22×D4—831no—
1099C22×D4—1661no—
1100C22×D4—1661no—
1101C22×D4C22×D8311yescharacteristic
1102C22×D4C22×D8311yescharacteristic
1103C22×D4C22×D8311yescharacteristic
1104C23×C4—1661no—
1105C23×C4—1661no—
1106AGL(1,ℤ/8)—24no—
1107AGL(1,ℤ/8)—1664no—
1108C2×SD16—831no—
1109C2×SD16—831no—
1110C2×SD16—831no—
1111C2×SD16—831no—
1112C2×SD16—831no—
1113C2×SD16C22×D8311yescharacteristic
1114C2×SD16C22×D8311yescharacteristic
1115C2×SD16C22×D8311yescharacteristic
1116C2×D8—24no—
1117C2×D8—831no—
1118C2×D8—831no—
1119C2×D8C22×D8311yescharacteristic
1120C2×D8C22×D8311yescharacteristic
1121C2×D8C22×D8311yescharacteristic
1122C2×D8C22×D8311yescharacteristic
1123C2×D8C22×D8311yescharacteristic
1124C2×D8C22×D8311yescharacteristic
1125C2×M16—831no—
1126C2×M16C22×D8311yescharacteristic
1127C22×C8—831no—
1128C22×C8—831no—
1129C22×C8—831no—
1130C22×C8C22×D8311yescharacteristic
1131C4⋊Q8—831no—
1132C4⋊Q8—831no—
1133C4⋊Q8—831no—
1134C4⋊Q8—831no—
1135C4⋊Q8—831no—
1136#127—831no—
1137#127—831no—
1138#127C22×D8311yescharacteristic
1139#126—831no—
1140#126—831no—
1141#126—1661no—
1142#126—1661no—
1143#126—1661no—
1144#126—1661no—
1145#126—1661no—
1146#126—1661no—
1147#125—831no—
1148#125—831no—
1149#125—831no—
1150#125—1661no—
1151#125—1661no—
1152#125—1661no—
1153#124—831no—
1154#124—831no—
1155#124—1661no—
1156#124—1661no—
1157#124—1661no—
1158#124—1661no—
1159#124—1661no—
1160#124C22×D8311yescharacteristic
1161#123—21no—
1162#123—831no—
1163#123—831no—
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—831no—
1178C22⋊Q8—831no—
1179C22⋊Q8—831no—
1180C22⋊Q8—831no—
1181C22⋊Q8—1661no—
1182C22⋊Q8—1661no—
1183C22⋊Q8—1661no—
1184C22⋊Q8—1661no—
1185C22⋊Q8—1661no—
1186C22⋊Q8—1661no—
1187C22⋊Q8—1661no—
1188C22⋊Q8—1661no—
1189C22⋊Q8—1661no—
1190C22⋊Q8—1661no—
1191C22⋊Q8—1661no—
1192C22⋊Q8—1661no—
1193C22⋊Q8—1661no—
1194C22⋊Q8—1661no—
1195C22⋊Q8—1661no—
1196C22⋊Q8C22×D8311yescharacteristic
1197#121—21no—
1198#121—21no—
1199#121—831no—
1200#121—831no—
1201#121—831no—
1202#121—831no—
1203#121—831no—
1204#121—831no—
1205#121—1661no—
1206#121—1661no—
1207#121—1661no—
1208#121—1661no—
1209#121—1661no—
1210#121—1661no—
1211#121—1661no—
1212#121—1661no—
1213#121—1661no—
1214#121—1661no—
1215#121—1661no—
1216#121—1661no—
1217#121—1661no—
1218#121—1661no—
1219#121—1661no—
1220#121C22×D8311yescharacteristic
1221#121C22×D8311yescharacteristic
1222#121C22×D8311yescharacteristic
1223#120—21no—
1224#120—21no—
1225#120—21no—
1226#120—1661no—
1227#120—1661no—
1228#120—1661no—
1229#120—1661no—
1230#120—1661no—
1231C4×Q8—831no—
1232C4×Q8—831no—
1233C4×Q8—831no—
1234C4×Q8—831no—
1235C4×Q8—831no—
1236C4×Q8—1661no—
1237C4×D4—831no—
1238C4×D4—831no—
1239C4×D4—831no—
1240C4×D4—831no—
1241C4×D4—831no—
1242C4×D4—831no—
1243C4×D4—831no—
1244C4×D4—831no—
1245C4×D4—831no—
1246C4×D4—831no—
1247C4×D4—831no—
1248C4×D4—831no—
1249C4×D4—831no—
1250C4×D4—831no—
1251C4×D4—831no—
1252C4×D4—831no—
1253C4×D4—1661no—
1254C4×D4—1661no—
1255C4×D4—1661no—
1256C4×D4—1661no—
1257C4×D4—1661no—
1258C4×D4—1661no—
1259C4×D4—1661no—
1260C4×D4—1661no—
1261C4×D4—1661no—
1262C4×D4—1661no—
1263C4×D4—1661no—
1264C4×D4—1661no—
1265C4×D4—1661no—
1266C4×D4—1661no—
1267C4×D4—1661no—
1268C4×D4—1661no—
1269C4×D4—1661no—
1270C4×D4C22×D8311yescharacteristic
1271C4×D4C22×D8311yescharacteristic
1272C4×D4C22×D8311yescharacteristic
1273#117—831no—
1274#117—831no—
1275#117—831no—
1276#117—831no—
1277#117—1661no—
1278#117—1661no—
1279#117—1661no—
1280#117—1661no—
1281#117—1661no—
1282C2×C4⋊C4—831no—
1283C2×C4⋊C4—831no—
1284C2×C4⋊C4—831no—
1285C2×C4⋊C4—831no—
1286C2×C4⋊C4—1661no—
1287C2×C4⋊C4—1661no—
1288C2×C4⋊C4—1661no—
1289C2×C4⋊C4—1661no—
1290C2×C22⋊C4—21no—
1291C2×C22⋊C4—1661no—
1292C2×C22⋊C4—1661no—
1293C2×C22⋊C4—1661no—
1294C2×C22⋊C4—1661no—
1295C2×C22⋊C4—1661no—
1296C2×C22⋊C4—1661no—
1297C2×C22⋊C4—1661no—
1298C2×C42—831no—
1299#107—831no—
1300#107—831no—
1301#107—831no—
1302#107—831no—
1303#107—831no—
1304#107—831no—
1305#107—831no—
1306#107—831no—
1307#106—831no—
1308#106—831no—
1309#106—831no—
1310#106—831no—
1311#106—831no—
1312#106—831no—
1313#106—831no—
1314#106C22×D8311yescharacteristic
1315C4⋊C8—831no—
1316C4⋊C8—831no—
1317C4⋊C8—831no—
1318C4⋊C8—831no—
1319C4⋊C8—831no—
1320C4⋊C8C22×D8311yescharacteristic
1321#103—831no—
1322#103—831no—
1323#103—831no—
1324#103—831no—
1325#103—831no—
1326#103—831no—
1327#103—831no—
1328#103C22×D8311yescharacteristic
1329#102—831no—
1330#102—831no—
1331#102—831no—
1332#102—831no—
1333#102—831no—
1334#102—831no—
1335#102—831no—
1336#102—831no—
1337#102—831no—
1338#102—831no—
1339#102—831no—
1340#102—831no—
1341#102—831no—
1342#102—831no—
1343#102—831no—
1344#102—831no—
1345#102—831no—
1346#102—831no—
1347#102—831no—
1348#102C22×D8311yescharacteristic
1349#102C22×D8311yescharacteristic
1350#102C22×D8311yescharacteristic
1351#102C22×D8311yescharacteristic
1352#102C22×D8311yescharacteristic
1353C22⋊C8—831no—
1354C22⋊C8—831no—
1355C22⋊C8—831no—
1356C22⋊C8—831no—
1357C22⋊C8C22×D8311yescharacteristic
1358C22⋊C8C22×D8311yescharacteristic
1359#97—831no—
1360#97—831no—
1361#97—831no—
1362#97C22×D8311yescharacteristic
1363C4×C8—831no—
1364C4×C8—831no—
1365C4×C8—831no—
1366C4×C8—831no—
1367C4×C8—831no—
1368C4×C8—831no—
1369C24—21no—
1370C24—21no—
1371C24—21no—
1372C24—1661no—
1373#41—22no—
1374#41—41no—
1375#41—3321no—
1376#41—6642no—
1377#41—6642no—
1378#41—6642no—
1379#41—1662no—
1380C2×Q8—831no—
1381C2×Q8—831no—
1382C2×Q8—6642no—
1383C2×Q8—1661no—
1384C2×Q8—1661no—
1385C2×Q8—1661no—
1386C2×Q8—1661no—
1387C2×Q8C23×D8311yescharacteristic
1388C2×D4—22no—
1389C2×D4—22no—
1390C2×D4—22no—
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—41no—
1401C2×D4—41no—
1402C2×D4—41no—
1403C2×D4—82no—
1404C2×D4—3321no—
1405C2×D4—831no—
1406C2×D4—831no—
1407C2×D4—831no—
1408C2×D4—6642no—
1409C2×D4—6642no—
1410C2×D4—1661no—
1411C2×D4—1661no—
1412C2×D4—1661no—
1413C2×D4—1661no—
1414C2×D4—1661no—
1415C2×D4—1661no—
1416C2×D4—1661no—
1417C2×D4—1662no—
1418C2×D4—1661no—
1419C2×D4—1661no—
1420C2×D4—1661no—
1421C2×D4—1661no—
1422C2×D4D4×D8311yescharacteristic
1423C2×D4C23×D8311yescharacteristic
1424C2×D4C23×D8311yescharacteristic
1425C2×D4C23×D8311yescharacteristic
1426C2×D4C23×D8311yescharacteristic
1427C2×D4C23×D8311yescharacteristic
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—831no—
1432C22×C4—831no—
1433C22×C4—831no—
1434C22×C4—6642no—
1435C22×C4—6642no—
1436C22×C4—1661no—
1437C22×C4—1661no—
1438C22×C4—1661no—
1439C22×C4—1661no—
1440C22×C4—1661no—
1441C22×C4—1661no—
1442C22×C4—1661no—
1443C22×C4—1661no—
1444C22×C4—1661no—
1445C22×C4—1661no—
1446C22×C4—1661no—
1447C22×C4—1661no—
1448C22×C4—1661no—
1449C22×C4—1661no—
1450C22×C4—1661no—
1451C22×C4—1661no—
1452C22×C4—1661no—
1453C22×C4—1661no—
1454C22×C4—1661no—
1455C22×C4C23×D8311yescharacteristic
1456C22×C4C23×D8311yescharacteristic
1457SD16—22no—
1458SD16—22no—
1459SD16—41no—
1460SD16—3321no—
1461SD16—3321no—
1462SD16—3321no—
1463SD16—1662no—
1464SD16—1662no—
1465D8—22no—
1466D8—22no—
1467D8—22no—
1468D8—22no—
1469D8—41no—
1470D8—3321no—
1471D8—1662no—
1472D8#1305058914yescomplemented
1473M16—22no—
1474M16—1662no—
1475C2×C8—22no—
1476C2×C8—3321no—
1477C2×C8—3321no—
1478C2×C8—3321no—
1479C2×C8—831no—
1480C2×C8—831no—
1481C2×C8—831no—
1482C2×C8—831no—
1483C2×C8C23×D8311yescharacteristic
1484C2×C8C23×D8311yescharacteristic
1485C2×C8C23×D8311yescharacteristic
1486C2×C8C23×D8311yescharacteristic
1487C4⋊C4—21no—
1488C4⋊C4—831no—
1489C4⋊C4—831no—
1490C4⋊C4—831no—
1491C4⋊C4—831no—
1492C4⋊C4—831no—
1493C4⋊C4—831no—
1494C4⋊C4—831no—
1495C4⋊C4—831no—
1496C4⋊C4—831no—
1497C4⋊C4—831no—
1498C4⋊C4—831no—
1499C4⋊C4—831no—
1500C4⋊C4—831no—
1501C4⋊C4—831no—
1502C4⋊C4—831no—
1503C4⋊C4—1661no—
1504C4⋊C4—1661no—
1505C4⋊C4—1661no—
1506C4⋊C4—1661no—
1507C4⋊C4—1661no—
1508C4⋊C4—1661no—
1509C4⋊C4—1661no—
1510C4⋊C4—1661no—
1511C4⋊C4—1661no—
1512C4⋊C4—1661no—
1513C4⋊C4—1661no—
1514C4⋊C4—1661no—
1515C4⋊C4—1661no—
1516C4⋊C4—1661no—
1517C4⋊C4—1661no—
1518C4⋊C4—1661no—
1519C4⋊C4—1661no—
1520C4⋊C4—1661no—
1521C4⋊C4—1661no—
1522C4⋊C4—1661no—
1523C4⋊C4—1661no—
1524C4⋊C4D4×D8311yescharacteristic
1525C4⋊C4C23×D8311yescharacteristic
1526C4⋊C4C23×D8311yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—831no—
1536C22⋊C4—831no—
1537C22⋊C4—831no—
1538C22⋊C4—831no—
1539C22⋊C4—831no—
1540C22⋊C4—831no—
1541C22⋊C4—831no—
1542C22⋊C4—831no—
1543C22⋊C4—1661no—
1544C22⋊C4—1661no—
1545C22⋊C4—1661no—
1546C22⋊C4—1661no—
1547C22⋊C4—1661no—
1548C22⋊C4—1661no—
1549C22⋊C4—1661no—
1550C22⋊C4—1661no—
1551C22⋊C4—1661no—
1552C22⋊C4—1661no—
1553C22⋊C4—1661no—
1554C22⋊C4—1661no—
1555C22⋊C4—1661no—
1556C22⋊C4—1661no—
1557C22⋊C4—1661no—
1558C22⋊C4—1661no—
1559C22⋊C4—1661no—
1560C22⋊C4—1661no—
1561C22⋊C4—1661no—
1562C22⋊C4—1661no—
1563C22⋊C4—1661no—
1564C22⋊C4—1661no—
1565C22⋊C4—1661no—
1566C22⋊C4—1661no—
1567C22⋊C4—1661no—
1568C22⋊C4—1661no—
1569C22⋊C4D4×D8311yescharacteristic
1570C22⋊C4D4×D8311yescharacteristic
1571C42—831no—
1572C42—831no—
1573C42—831no—
1574C42—831no—
1575C42—831no—
1576C42—1661no—
1577C42—1661no—
1578C42—1661no—
1579C42—1661no—
1580C42—1661no—
1581C42—1661no—
1582C42C23×D8311yescharacteristic
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—42no—
1589C23—42no—
1590C23—42no—
1591C23—42no—
1592C23—42no—
1593C23—81no—
1594C23—81no—
1595C23—81no—
1596C23—81no—
1597C23—3322no—
1598C23—831no—
1599C23—6641no—
1600C23—6641no—
1601C23—1661no—
1602C23C2×D4×D8311yescharacteristic
1603C23C2×D4×D8311yescharacteristic
1604Q8—21no—
1605Q8—21no—
1606Q8—3322no—
1607Q8—6641no—
1608Q8—6641no—
1609Q8—6641no—
1610Q8—1662no—
1611Q8—1661no—
1612Q8—1661no—
1613D4—22no—
1614D4—21no—
1615D4—21no—
1616D4—21no—
1617D4—21no—
1618D4—21no—
1619D4—21no—
1620D4—21no—
1621D4—21no—
1622D4—42no—
1623D4—42no—
1624D4—42no—
1625D4—42no—
1626D4—42no—
1627D4—81no—
1628D4—81no—
1629D4—81no—
1630D4—81no—
1631D4—3322no—
1632D4—3322no—
1633D4—3322no—
1634D4—3322no—
1635D4—6641no—
1636D4—6641no—
1637D4—6641no—
1638D4—6641no—
1639D4—6641no—
1640D4—6641no—
1641D4—6641no—
1642D4—1662no—
1643D4—1662no—
1644D4—1661no—
1645D4—1661no—
1646D4C2×#1305058912yes—
1647D4C2×#1305058912yes—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—42no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—3322no—
1659C2×C4—3322no—
1660C2×C4—3322no—
1661C2×C4—3322no—
1662C2×C4—3322no—
1663C2×C4—831no—
1664C2×C4—831no—
1665C2×C4—831no—
1666C2×C4—831no—
1667C2×C4—831no—
1668C2×C4—831no—
1669C2×C4—831no—
1670C2×C4—6641no—
1671C2×C4—6641no—
1672C2×C4—6641no—
1673C2×C4—6641no—
1674C2×C4—6641no—
1675C2×C4—6641no—
1676C2×C4—6641no—
1677C2×C4—6641no—
1678C2×C4—6641no—
1679C2×C4—6641no—
1680C2×C4—6641no—
1681C2×C4—6641no—
1682C2×C4—6641no—
1683C2×C4—6641no—
1684C2×C4—1661no—
1685C2×C4—1661no—
1686C2×C4—1661no—
1687C2×C4—1661no—
1688C2×C4—1661no—
1689C2×C4—1661no—
1690C2×C4—1661no—
1691C2×C4—1662no—
1692C2×C4—1662no—
1693C2×C4—1661no—
1694C2×C4—1661no—
1695C2×C4C2×D4×D8311yescharacteristic
1696C2×C4C2×D4×D8311yescharacteristic
1697C2×C4C2×D4×D8311yescharacteristic
1698C2×C4C2×D4×D8311yescharacteristic
1699C2×C4C24×D8311yescharacteristic
1700C8—21no—
1701C8—21no—
1702C8—21no—
1703C8—1661no—
1704C8—1661no—
1705C8—1661no—
1706C8—1661no—
1707C8C2×#1305058912yes—
1708C22—21no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—22no—
1714C22—22no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—84no—
1729C22—84no—
1730C22—162no—
1731C22—13282no—
1732C22—3321no—
1733C22—3321no—
1734C22—3321no—
1735C22—1661no—
1736C22—1661no—
1737C22—1661no—
1738C22#1912851112yes—
1739C22C22×D4×D8311yescharacteristic
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—3321no—
1748C4—3321no—
1749C4—3321no—
1750C4—3321no—
1751C4—3321no—
1752C4—3321no—
1753C4—3321no—
1754C4—832no—
1755C4—1661no—
1756C4—1661no—
1757C4—1661no—
1758C4—1661no—
1759C4—1661no—
1760C4—1661no—
1761C4C22×#1305058911yescharacteristic
1762C4#1912853611yescharacteristic
1763C2—22no—
1764C2—41no—
1765C2—42no—
1766C2—42no—
1767C2—81no—
1768C2—81no—
1769C2—81no—
1770C2—3321no—
1771C2—6641no—
1772C2D4×#1305058911yescharacteristic
1773C2#576×D8311yescharacteristic
1774C2C2×#1912851111yescharacteristic
subgroupG/H
centerC22C22×D4×D83
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC83×#3264C2
socleC22×C83C23×D4
hypercenter#3264D83
hypocenterC83#61496
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3264

Complements

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

NH ≅ G/Ntype
1. #24921499C2semidirect
2. #24921482C2semidirect
3. #24920480C2semidirect
4. #24920363C2semidirect
5. #24920107C2semidirect
6. #24920093C2semidirect
7. #24920053C2semidirect
8. #24919954C2semidirect
9. #24919950C2semidirect
10. #24919384C2semidirect
11. #24919317C2semidirect
12. #24919313C2semidirect
13. #24919287C2semidirect
14. #24919280C2semidirect
15. #24919269C2semidirect
16. #24919057C2semidirect
17. #24918943C2semidirect
18. #24918147C2semidirect
19. #24918143C2semidirect
20. #24918017C2semidirect
21. #24917659C2semidirect
22. #24917655C2semidirect
23. #24917644C2semidirect
24. #24917640C2semidirect
25. #24917557C2semidirect
26. #24917549C2semidirect
27. #24916433C2semidirect
28. #24916296C2semidirect
29. #24916292C2semidirect
30. C2×D8×Dic83C2semidirect
31. C83×#3264C2semidirect
33. #19128420C22semidirect
34. #19128415C22semidirect
35. #19128410C22semidirect
36. #19128409C22semidirect
37. #19128408C22semidirect
44. #19128371C22semidirect
45. D4×Dic166C22semidirect
47. #19128351C22semidirect
48. #19128350C22semidirect
50. #19128345C22semidirect
54. D4×C22⋊D83C22semidirect
55. #19128320C22semidirect
56. #19128318C22semidirect
57. #19128305C22semidirect
58. #19128304C22semidirect
63. #19128253C22semidirect
70. #19128184C22semidirect
71. #19128180C22semidirect
72. #19128176C22semidirect
73. #19128173C22semidirect
75. C2×D4×Dic83C22semidirect
76. #19128110C22semidirect
77. #19128108C22semidirect
78. #19128098C22semidirect
79. #19128089C22semidirect
80. #19128072C22semidirect
81. #19128055C22semidirect
82. #19128054C22semidirect
83. #19128050C22semidirect
84. #19128047C22semidirect
85. #19128046C22semidirect
86. #19128046C22semidirect
87. #19128043C22semidirect
88. #19128041C22semidirect
89. #19128037C22semidirect
90. #19128034C22semidirect
91. #19128023C22semidirect
92. #19128022C22semidirect
93. #19128020C22semidirect
94. #19128018C22semidirect
95. #19128017C22semidirect
96. #19128017C22semidirect
97. #19128015C22semidirect
98. #19128013C22semidirect
99. #19128010C22semidirect
100. #19128009C22semidirect
101. #19128001C22semidirect
102. #19127999C22semidirect
103. #19127991C22semidirect
104. #19127989C22semidirect
105. #19127989C22semidirect
106. #19127989C22semidirect
107. #19127982C22semidirect
108. #19127979C22semidirect
109. #19127979C22semidirect
110. #19127979C22semidirect
111. #19127951C22semidirect
112. #19127947C22semidirect
113. #19127944C22semidirect
114. #19127935C22semidirect
115. #19127934C22semidirect
116. #19127932C22semidirect
117. #19127930C22semidirect
118. #19127928C22semidirect
119. #19127928C22semidirect
120. #19127927C22semidirect
122. #19127914C22semidirect
123. #19127913C22semidirect
124. #19127904C22semidirect
125. #19127904C22semidirect
126. #19127899C22semidirect
127. #19127898C22semidirect
128. #19127894C22semidirect
129. #19127894C22semidirect
130. #19127894C22semidirect
132. #19127852C22semidirect
133. #19127850C22semidirect
134. #19127846C22semidirect
135. #19127843C22semidirect
136. #19127843C22semidirect
137. #19127835C22semidirect
139. #19127829C22semidirect
140. #19127825C22semidirect
142. #19127813C22semidirect
143. #19127813C22semidirect
144. #19127810C22semidirect
145. #19127810C22semidirect
146. #19127803C22semidirect
147. #19127802C22semidirect
148. #19127802C22semidirect
149. #19127802C22semidirect
150. #19127798C22semidirect
151. #19127798C22semidirect
152. #19127792C22semidirect
153. SD16×Dic83C22semidirect
154. SD16×Dic83C22semidirect
155. #19127788C22semidirect
156. C4×#13050578C22semidirect
157. #19127786C22semidirect
162. D8×Dic83C22semidirect
163. D8×Dic83C22semidirect
164. D8×Dic83C22semidirect
165. D8×Dic83C22semidirect
166. D8×Dic83C22semidirect
167. C4×#13050575C22semidirect
168. #19127777C22semidirect
169. #19127772C22semidirect
170. D4×C83⋊C8C22semidirect
171. (C22⋊D83)⋊C8C22semidirect
172. (C22⋊D83)⋊C8C22semidirect
173. #19127761C22semidirect
174. #19127759C22semidirect
175. #19127755C22semidirect
176. #19127743C22semidirect
177. #19127740C22semidirect
178. C2×#14581726C22semidirect
179. #19127697C22semidirect
180. #19127694C22semidirect
182. C2×#14581713C22semidirect
183. C2×#14581713C22semidirect
184. #102×D83C22semidirect
185. #19127659C22semidirect
186. #19127658C22semidirect
187. C2×C8×Dic83C22semidirect
190. #546×C83C22semidirect
192. #496×C83C22semidirect
193. #469×C83C22semidirect
194. #465×C83C22semidirect
196. #459×C83C22semidirect
198. #449×C83C22semidirect
200. #447×C83C22semidirect
202. #435×C83C22semidirect
673. D8×C83#41semidirect
905. #3264D83semidirect
919. C83#61496semidirect
943. #546C2×D83semidirect
972. #496C2×D83semidirect
1005. #469C2×D83semidirect
1015. #465C2×D83semidirect
1027. #459C2×D83semidirect
1035. #449C2×D83semidirect
1039. #447C2×D83semidirect
1072. #435C2×D83semidirect
1472. D8#13050589semidirect

Maximal subgroups

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

subgroupindex
#249214992
#249214822
#249204802
#249203632
#249201072
#249200932
#249200532
#249199542
#249199502
#249193842
#249193172
#249193132
#249192872
#249192802
#249192692
#249190572
#249189432
#249181472
#249181432
#249180172
#249176592
#249176552
#249176442
#249176402
#249175572
#249175492
#249164332
#249162962
#249162922
C2×D8×Dic832
C83×#32642
#6149683