Finite Group Databasebeta

← #27110063

Subgroups — #27110063

Order 12032.

1860 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257978C211yesmaximal, characteristic, complemented
2#20257334C211yesmaximal, characteristic, complemented
3#20256451C211yesmaximal, characteristic, complemented
4#20256395C211yesmaximal, characteristic, complemented
5#20256148C211yesmaximal, characteristic, complemented
6#20256036C211yesmaximal, characteristic, complemented
7#20255690C211yesmaximal, characteristic, complemented
8#20255662C211yesmaximal, characteristic, complemented
9#20255647C211yesmaximal, characteristic, complemented
10#20255520C211yesmaximal, characteristic, complemented
11#20255346C211yesmaximal, characteristic, complemented
12#20255233C211yesmaximal, characteristic, complemented
13#20255092C211yesmaximal, characteristic, complemented
14#20255005C211yesmaximal, characteristic, complemented
15#20254996C211yesmaximal, characteristic, complemented
16#20254994C211yesmaximal, characteristic, complemented
17#20254908C211yesmaximal, characteristic, complemented
18#20254880C211yesmaximal, characteristic, complemented
19#20254836C211yesmaximal, characteristic, complemented
20#20254791C211yesmaximal, characteristic, complemented
21#20254491C211yesmaximal, characteristic, complemented
22#20254437C211yesmaximal, characteristic, complemented
23#20254368C211yesmaximal, characteristic, complemented
24#20253626C211yesmaximal, characteristic, complemented
25#20253609C211yesmaximal, characteristic, complemented
26#20253440C211yesmaximal, characteristic, complemented
27#20252924C211yesmaximal, characteristic, complemented
28#20252901C211yesmaximal, characteristic, complemented
29#20252847C211yesmaximal, characteristic, complemented
30#20252535C211yesmaximal, characteristic, complemented
31C47×#3257C211yesmaximal, characteristic, complemented
32C2×#13094052C2211yescharacteristic
33C2×#13094051C2211yescharacteristic
34C2×#13094048C2211yescharacteristic
35C2×#13094048C2211yescharacteristic, complemented
36C2×#13094045C2211yescharacteristic
37C22×#10625325C2211yescharacteristic, complemented
38#15689870—21no—
39#15689861—21no—
40#15689856C2211yescharacteristic, complemented
41#15689855C2211yescharacteristic, complemented
42#15689843C2211yescharacteristic, complemented
43#15689834C2211yescharacteristic, complemented
44#15689825—21no—
45#15689824—21no—
46#15689820C2211yescharacteristic
47#15689807C2211yescharacteristic, complemented
48#15689803—21no—
49#15689798—21no—
50#15689796—21no—
51#15689791C2211yescharacteristic
52#15689779C2211yescharacteristic
53#15689779C2211yescharacteristic, complemented
54#15689777C2211yescharacteristic, complemented
55#15689776C2211yescharacteristic
56#15689770C2211yescharacteristic, complemented
57#15689768C2211yescharacteristic, complemented
58#15689766—21no—
59#15689766C2211yescharacteristic
60#15689764C2211yescharacteristic
61#15689757C2211yescharacteristic, complemented
62#15689736C2211yescharacteristic, complemented
63#15689726—21no—
64#15689724C2211yescharacteristic
65#15689719—21no—
66#15689717—21no—
67#15689710—21no—
68#15689709—21no—
69#15689709—21no—
70#15689699C2211yescharacteristic, complemented
71#15689686C2211yescharacteristic, complemented
72#15689671C2211yescharacteristic, complemented
73#15689660C2211yescharacteristic, complemented
74#15689658C2211yescharacteristic, complemented
75#15689651C2211yescharacteristic
76#15689636—21no—
77#123×D47—21no—
78#15689605C2211yescharacteristic
79#15689597C2211yescharacteristic, complemented
80C4×D4×D47C2211yescharacteristic, complemented
81#15689518C2211yescharacteristic, complemented
82#15689511C2211yescharacteristic
83#15689505C2211yescharacteristic, complemented
84#15689504C2211yescharacteristic, complemented
85#15689504C2211yescharacteristic, complemented
86#15689498C2211yescharacteristic
87#15689486C2211yescharacteristic, complemented
88#15689485C2211yescharacteristic, complemented
89#15689476C2211yescharacteristic, complemented
90#15689476C2211yescharacteristic, complemented
91#15689476C2211yescharacteristic, complemented
92#15689475C2211yescharacteristic, complemented
93#15689460C2211yescharacteristic, complemented
94#15689460C2211yescharacteristic, complemented
95#15689455C2211yescharacteristic, complemented
96#15689444C2211yescharacteristic, complemented
97#15689444C2211yescharacteristic, complemented
98#15689443C2211yescharacteristic, complemented
99#15689433C2211yescharacteristic, complemented
100#15689433C2211yescharacteristic, complemented
101#15689429C2211yescharacteristic, complemented
102#15689426C2211yescharacteristic, complemented
103#15689420C2211yescharacteristic, complemented
104#15689420C2211yescharacteristic, complemented
105#15689380C2211yescharacteristic, complemented
106#15689377C2211yescharacteristic
107#15689372C2211yescharacteristic, complemented
108#15689370C2211yescharacteristic, complemented
109#15689370C2211yescharacteristic, complemented
110#15689368C2211yescharacteristic, complemented
111#15689353C2211yescharacteristic, complemented
112#15689351C2211yescharacteristic, complemented
113#15689348C2211yescharacteristic, complemented
114#15689345C2211yescharacteristic, complemented
115#15689343C2211yescharacteristic, complemented
116#15689341C2211yescharacteristic, complemented
117#15689339C2211yescharacteristic
118#15689339C2211yescharacteristic
119#15689339C2211yescharacteristic, complemented
120#15689339C2211yescharacteristic, complemented
121#15689338C2211yescharacteristic, complemented
122#15689337C2211yescharacteristic
123#15689337C2211yescharacteristic
124#15689337C2211yescharacteristic, complemented
125#15689336C2211yescharacteristic, complemented
126#15689336C2211yescharacteristic, complemented
127#15689333C2211yescharacteristic, complemented
128#15689329C2211yescharacteristic, complemented
129#15689329C2211yescharacteristic, complemented
130#15689329C2211yescharacteristic, complemented
131#15689329C2211yescharacteristic, complemented
132#15689328C2211yescharacteristic, complemented
133#15689322C2211yescharacteristic, complemented
134#15689322C2211yescharacteristic, complemented
135#15689321C2211yescharacteristic, complemented
136#15689317C2211yescharacteristic
137#15689315C2211yescharacteristic
138#15689315C2211yescharacteristic, complemented
139#15689288C2211yescharacteristic
140#15689288C2211yescharacteristic
141#15689283C2211yescharacteristic, complemented
142#15689282C2211yescharacteristic, complemented
143#15689282C2211yescharacteristic, complemented
144#15689278C2211yescharacteristic, complemented
145#15689275C2211yescharacteristic, complemented
146#15689269C2211yescharacteristic
147#15689269C2211yescharacteristic, complemented
148#15689269C2211yescharacteristic, complemented
149#15689266C2211yescharacteristic
150#15689265C2211yescharacteristic, complemented
151#15689261C2211yescharacteristic, complemented
152#15689258C2211yescharacteristic
153#15689258C2211yescharacteristic, complemented
154#15689256C2211yescharacteristic
155#15689256C2211yescharacteristic, complemented
156#15689255C2211yescharacteristic, complemented
157#15689252C2211yescharacteristic, complemented
158#15689247C2211yescharacteristic, complemented
159#15689233C2211yescharacteristic, complemented
160#15689233C2211yescharacteristic, complemented
161#15689227C2211yescharacteristic, complemented
162#15689222C2211yescharacteristic, complemented
163#15689215C2211yescharacteristic, complemented
164#15689214C2211yescharacteristic, complemented
165#15689210C2211yescharacteristic, complemented
166#15689210C2211yescharacteristic, complemented
167#15689205C2211yescharacteristic
168C4×#10625334C2211yescharacteristic
169C4×#10625334C2211yescharacteristic, complemented
170#15689203C2211yescharacteristic, complemented
171#15689200C2211yescharacteristic, complemented
172#15689199C2211yescharacteristic, complemented
173#15689199C2211yescharacteristic, complemented
174#15689194C2211yescharacteristic, complemented
175#15689193C2211yescharacteristic, complemented
176C8×C22⋊D47C2211yescharacteristic, complemented
177#15689184C2211yescharacteristic, complemented
178#15689183C2211yescharacteristic, complemented
179#15689175C2211yescharacteristic, complemented
180#15689148C2211yescharacteristic, complemented
181#15689145C2211yescharacteristic, complemented
182#15689133C2211yescharacteristic, complemented
183#15689121C2211yescharacteristic, complemented
184#15689121C2211yescharacteristic, complemented
185#15689121C2211yescharacteristic, complemented
186#15689120C2211yescharacteristic, complemented
187#102×D47C2211yescharacteristic, complemented
188C47×#542C2211yescharacteristic, complemented
189C47×#540C2211yescharacteristic, complemented
190C47×#479C2211yescharacteristic, complemented
191C47×#478C2211yescharacteristic, complemented
192C47×#476C2211yescharacteristic, complemented
193C47×#474C2211yescharacteristic, complemented
194C47×#469C2211yescharacteristic, complemented
195C47×#468C2211yescharacteristic, complemented
196C47×#466C2211yescharacteristic
197C47×#465C2211yescharacteristic, complemented
198C47×#463C2211yescharacteristic, complemented
199C47×#463C2211yescharacteristic, complemented
200C47×#460C2211yescharacteristic, complemented
201C47×#459C2211yescharacteristic, complemented
202C47×#424C2211yescharacteristic, complemented
203C2×#10625354—21no—
204C2×#10625354C2311yescharacteristic
205C2×#10625350C2311yescharacteristic
206C2×#10625352C2311yescharacteristic
207C2×#10625352C2311yescharacteristic
208C2×#10625352C2311yescharacteristic
209C22×Dic94C2311yescharacteristic
210C22×D188C2311yescharacteristic
211C2×D4×D47—21no—
212C2×D4×D47C2311yescharacteristic
213C2×D4×D47C2311yescharacteristic
214C22×C4×D47—21no—
215#13094052—42no—
216#13094051—42no—
217#13094048—42no—
218#13094048—42no—
219#13094045—42no—
220C2×#10625337C2311yescharacteristic
221C2×#10625337C2311yescharacteristic
222C2×#10625337C2311yescharacteristic
223C2×#10625325—42no—
224C2×#10625325C2311yescharacteristic
225C2×#10625325C2311yescharacteristic
226C2×#10625325C2311yescharacteristic
227C2×#10625325C2311yescharacteristic
228C2×#10625325C2311yescharacteristic
229C2×#10625325C2311yescharacteristic
230C2×#10625335C2311yescharacteristic
231C2×#10625335C2311yescharacteristic
232C2×#10625335C2311yescharacteristic
233C2×#10625336C2311yescharacteristic
234C2×D376C2311yescharacteristic
235C2×D376C2311yescharacteristic
236C2×#10625334C2311yescharacteristic
237C2×#10625334C2311yescharacteristic
238C2×#10625334C2311yescharacteristic
239C2×#10625334C2311yescharacteristic
240C2×#10625334C2311yescharacteristic
241C2×#10625324C2311yescharacteristic
242C2×#10625324C2311yescharacteristic
243C2×#10625324C2311yescharacteristic
244C2×C8×D47C2311yescharacteristic
245#13094024C2311yescharacteristic
246#13094024C2311yescharacteristic
247#13094020—21no—
248#13094020C2311yescharacteristic
249#13094020C2311yescharacteristic
250#13094019—21no—
251#13094019—21no—
252#13094019—21no—
253#13094019—21no—
254#13094019D411yescharacteristic
255#13094017—21no—
256#13094017—21no—
257#13094017—21no—
258#13094017—21no—
259#13094017D411yescharacteristic
260#13094015—21no—
261#13094015—21no—
262#13094015C2311yescharacteristic
263#13094015C2311yescharacteristic
264#13094014—21no—
265#13094014D411yescharacteristic
266#13094013C2311yescharacteristic
267#13094012C2311yescharacteristic
268#13094012C2311yescharacteristic
269#13094011C2311yescharacteristic
270#13094011C2311yescharacteristic
271#13094011C2311yescharacteristic
272#13094010—21no—
273#13094010—21no—
274#13094010—21no—
275#13094010—21no—
276#13094010D411yescharacteristic
277#13094009—21no—
278#13094009—21no—
279#13094009—21no—
280#13094009—21no—
281#13094009—21no—
282#13094009D411yescharacteristic
283#13094008—21no—
284#13094008—21no—
285#13094008—21no—
286#13094008—21no—
287#13094008—21no—
288#13094008—21no—
289#13094007—21no—
290#13094007—21no—
291#13094006—21no—
292#13094006—21no—
293#13094006—21no—
294#13094006—21no—
295#13094006—21no—
296#13094006—21no—
297#13094006D411yescharacteristic
298#13094005—21no—
299#13094004—21no—
300#13094004—21no—
301#13094004—21no—
302#13094004C2311yescharacteristic
303#13094004C2311yescharacteristic
304#13094004C2311yescharacteristic
305#13094003—21no—
306#13094002D411yescharacteristic
307#13094001—21no—
308#13094001—21no—
309#13094000—21no—
310#13094000—21no—
311#13094000—21no—
312#13094000C2311yescharacteristic
313#13093999—21no—
314#13093999C2311yescharacteristic
315#13093999C2311yescharacteristic
316#13093999C2311yescharacteristic
317#13093998—21no—
318#13093998—21no—
319#13093998—21no—
320#13093997—21no—
321#13093997—21no—
322#13093997—21no—
323#13093997—21no—
324#13093997D411yescharacteristic
325#13093996—21no—
326#13093996—21no—
327#13093996—21no—
328#13093996—21no—
329#13093996—21no—
330#13093995—21no—
331#13093995—21no—
332#13093995—21no—
333#13093995—21no—
334#13093995C2311yescharacteristic
335#13093994—21no—
336#13093994—21no—
337#13093994—21no—
338#13093994—21no—
339#13093992—21no—
340#13093992—21no—
341#13093992—21no—
342#13093992—21no—
343Q8×Dic47C2311yescharacteristic
344C4×Dic94C2311yescharacteristic
345#13093989C2311yescharacteristic
346#13093989C2311yescharacteristic
347#13093989C2311yescharacteristic
348C4×D188—21no—
349C4×D188—21no—
350C4×D188C2311yescharacteristic
351C4×D188C2311yescharacteristic
352C4×D188C2311yescharacteristic
353C4×D188C2311yescharacteristic
354C4×D188C2311yescharacteristic
355D4×Dic47—21no—
356D4×Dic47—21no—
357D4×Dic47—21no—
358D4×Dic47—21no—
359D4×Dic47C2311yescharacteristic
360#13093986—21no—
361#13093986—21no—
362#13093986—21no—
363#13093986—21no—
364#13093986C2311yescharacteristic
365#13093986C2311yescharacteristic
366#13093986C2311yescharacteristic
367C4×C22⋊D47—21no—
368C4×C22⋊D47—21no—
369C4×C22⋊D47C2311yescharacteristic
370C4×C22⋊D47C2311yescharacteristic
371(C22⋊D47)⋊C4—21no—
372(C22⋊D47)⋊C4—21no—
373(C22⋊D47)⋊C4—21no—
374(C22⋊D47)⋊C4—21no—
375#13093983—21no—
376#13093983C2311yescharacteristic
377#13093982—21no—
378#13093982—21no—
379#13093981—21no—
380#13093981—21no—
381#13093981C2311yescharacteristic
382C2×C4⋊Dic47—21no—
383C4⋊C4×D47—21no—
384C4⋊C4×D47—21no—
385C4⋊C4×D47C2311yescharacteristic
386C4⋊C4×D47C2311yescharacteristic
387C2×(C2×D47)⋊C4—21no—
388C22⋊C4×D47—21no—
389C22⋊C4×D47—21no—
390C22⋊C4×D47—21no—
391C22⋊C4×D47—21no—
392C22⋊C4×D47—21no—
393C22⋊C4×D47—21no—
394C42×D47C2311yescharacteristic
395#13093957C2311yescharacteristic
396#13093957C2311yescharacteristic
397#13093955C2311yescharacteristic
398#13093955C2311yescharacteristic
399C4⋊(C47⋊C8)C2311yescharacteristic
400C4⋊(C47⋊C8)C2311yescharacteristic
401Dic47⋊C8C2311yescharacteristic
402Dic47⋊C8C2311yescharacteristic
403Dic47⋊C8C2311yescharacteristic
404Dic47⋊C8C2311yescharacteristic
405#13093949C2311yescharacteristic
406#13093949C2311yescharacteristic
407#13093949C2311yescharacteristic
408#13093949C2311yescharacteristic
409#13093949C2311yescharacteristic
410#13093949C2311yescharacteristic
411#13093947C2311yescharacteristic
412#13093947C2311yescharacteristic
413#13093947C2311yescharacteristic
414#13093947C2311yescharacteristic
415#13093947C2311yescharacteristic
416#13093947C2311yescharacteristic
417#13093946C2311yescharacteristic
418#13093946C2311yescharacteristic
419#13093945C2311yescharacteristic
420#13093945C2311yescharacteristic
421#13093945C2311yescharacteristic
422#13093945C2311yescharacteristic
423#13093944C2311yescharacteristic
424#13093944C2311yescharacteristic
425#13093944C2311yescharacteristic
426#13093944C2311yescharacteristic
427#13093944C2311yescharacteristic
428#13093944C2311yescharacteristic
429C22⋊(C47⋊C8)C2311yescharacteristic
430C22⋊(C47⋊C8)C2311yescharacteristic
431(C2×D47)⋊C8C2311yescharacteristic
432(C2×D47)⋊C8C2311yescharacteristic
433(C2×D47)⋊C8C2311yescharacteristic
434(C2×D47)⋊C8C2311yescharacteristic
435#13093935C2311yescharacteristic
436#13093934C2311yescharacteristic
437C4×C47⋊C8C2311yescharacteristic
438C8×Dic47C2311yescharacteristic
439C8×Dic47C2311yescharacteristic
440C8×Dic47C2311yescharacteristic
441C2×SD16×C47C2311yescharacteristic
442C2×SD16×C47C2311yescharacteristic
443C2×D8×C47C2311yescharacteristic
444C2×D8×C47C2311yescharacteristic
445C2×M16×C47C2311yescharacteristic
446C22×C8×C47C2311yescharacteristic
447C4⋊Q8×C47C2311yescharacteristic
448#127×C47C2311yescharacteristic
449#126×C47—21no—
450#125×C47C2311yescharacteristic
451#124×C47—21no—
452#124×C47C2311yescharacteristic
453#123×C47—21no—
454#123×C47—21no—
455#123×C47—21no—
456C22⋊Q8×C47—21no—
457C22⋊Q8×C47C2311yescharacteristic
458#121×C47—21no—
459#121×C47—21no—
460#121×C47C2311yescharacteristic
461#121×C47C2311yescharacteristic
462#121×C47C2311yescharacteristic
463C4×Q8×C47C2311yescharacteristic
464C4×D4×C47C2311yescharacteristic
465C4×D4×C47C2311yescharacteristic
466C4×D4×C47C2311yescharacteristic
467#117×C47C2311yescharacteristic
468#107×C47C2311yescharacteristic
469#107×C47C2311yescharacteristic
470#106×C47C2311yescharacteristic
471#106×C47C2311yescharacteristic
472C4⋊C8×C47C2311yescharacteristic
473C4⋊C8×C47C2311yescharacteristic
474C4⋊C8×C47C2311yescharacteristic
475C4⋊C8×C47C2311yescharacteristic
476#103×C47C2311yescharacteristic
477#103×C47C2311yescharacteristic
478#102×C47C2311yescharacteristic
479#102×C47C2311yescharacteristic
480#102×C47C2311yescharacteristic
481#102×C47C2311yescharacteristic
482#102×C47C2311yescharacteristic
483#102×C47C2311yescharacteristic
484C23×D47—21no—
485C23×D47—21no—
486C23×D47—21no—
487C2×Q8×C47—21no—
488C2×Q8×C47C2411yescharacteristic
489C2×D4×C47—21no—
490C2×D4×C47—21no—
491C2×D4×C47—21no—
492C2×D4×C47—21no—
493C2×D4×C47—21no—
494C2×D4×C47C2411yescharacteristic
495C2×D4×C47C2411yescharacteristic
496C2×D4×C47C2411yescharacteristic
497C22×C4×C47—21no—
498C22×C4×C47—21no—
499C22×C4×C47—21no—
500C22×C4×C47C2411yescharacteristic
501C2×C22⋊D47—21no—
502C2×C22⋊D47—21no—
503C2×C22⋊D47—21no—
504C2×C22⋊D47—21no—
505C2×C22⋊D47—21no—
506C2×C22⋊D47—21no—
507C2×C22⋊D47—21no—
508C2×C22⋊D47—21no—
509C2×C22⋊D47—21no—
510C2×C22⋊D47—21no—
511C2×C22⋊D47—21no—
512C2×C22⋊D47C2×D411yescharacteristic
513C2×C22⋊D47C2×D411yescharacteristic
514C22×Dic47—21no—
515C22×Dic47—21no—
516C22×Dic47—21no—
517C22×Dic47—21no—
518C22×Dic47—21no—
519#10625354—22no—
520#10625354—41no—
521#10625354—82no—
522#10625352—41no—
523#10625352—41no—
524#10625352—41no—
525#10625352—41no—
526#10625352—41no—
527#10625352—41no—
528D4×D47—22no—
529D4×D47—41no—
530D4×D47—41no—
531D4×D47—41no—
532D4×D47—82no—
533#10625350—41no—
534#10625350—41no—
535C2×D188—22no—
536C2×D188—21no—
537C2×D188—21no—
538C2×D188—21no—
539C2×D188—21no—
540C2×D188—21no—
541C2×D188—41no—
542C2×D188C2×D411yescharacteristic
543C2×D188C2411yescharacteristic
544C2×D188C2411yescharacteristic
545C2×D188C2411yescharacteristic
546C2×C4×D47—21no—
547C2×C4×D47—21no—
548C2×C4×D47—21no—
549C2×C4×D47—21no—
550C2×C4×D47—21no—
551C2×C4×D47—21no—
552C2×C4×D47—21no—
553C2×C4×D47—21no—
554C2×C4×D47—21no—
555C2×C4×D47—21no—
556C2×C4×D47—21no—
557C2×C4×D47—82no—
558C2×C4×D47C2×D411yescharacteristic
559C2×C4×D47C2×D411yescharacteristic
560C2×C4×D47C2411yescharacteristic
561C2×C4×D47C2411yescharacteristic
562C2×Dic94—21no—
563C2×Dic94—41no—
564C2×Dic94—41no—
565C2×Dic94C2×D411yescharacteristic
566C2×Dic94C2411yescharacteristic
567C2×Dic94C2411yescharacteristic
568C2×Dic94C2411yescharacteristic
569SD16×C47—41no—
570SD16×C47—41no—
571D8×C47—41no—
572D8×C47—41no—
573M16×C47—41no—
574C2×C8×C47—41no—
575C2×C8×C47C2411yescharacteristic
576C2×C8×C47C2411yescharacteristic
577C2×C8×C47C2411yescharacteristic
578C2×C8×C47C2411yescharacteristic
579C4⋊C4×C47—21no—
580C4⋊C4×C47—21no—
581C4⋊C4×C47—21no—
582C4⋊C4×C47—21no—
583C4⋊C4×C47—21no—
584C4⋊C4×C47C2×D411yescharacteristic
585C4⋊C4×C47C2×D411yescharacteristic
586C4⋊C4×C47C2411yescharacteristic
587C4⋊C4×C47C2411yescharacteristic
588C4⋊C4×C47C2411yescharacteristic
589C4⋊C4×C47C2411yescharacteristic
590C22⋊C4×C47—21no—
591C22⋊C4×C47—21no—
592C22⋊C4×C47—21no—
593C22⋊C4×C47—21no—
594C22⋊C4×C47—21no—
595C22⋊C4×C47—21no—
596C22⋊C4×C47—21no—
597C22⋊C4×C47—21no—
598C22⋊C4×C47—21no—
599C22⋊C4×C47C2×D411yescharacteristic
600C22⋊C4×C47C2×D411yescharacteristic
601C42×C47—21no—
602C42×C47C2411yescharacteristic
603C42×C47C2411yescharacteristic
604C22⋊Dic47—21no—
605C22⋊Dic47—21no—
606C22⋊Dic47—21no—
607C22⋊Dic47—21no—
608C22⋊Dic47—21no—
609C22⋊Dic47—21no—
610C22⋊Dic47—21no—
611C22⋊Dic47—21no—
612C22⋊Dic47—21no—
613C22⋊Dic47C2×D411yescharacteristic
614C22⋊Dic47C2×D411yescharacteristic
615#10625337—41no—
616#10625337—41no—
617#10625337—41no—
618#10625336—41no—
619#10625335—41no—
620#10625335—41no—
621#10625335—41no—
622#10625334—22no—
623#10625334—22no—
624#10625334—41no—
625#10625334—41no—
626#10625334—41no—
627(C2×D47)⋊C4—21no—
628(C2×D47)⋊C4—21no—
629(C2×D47)⋊C4—21no—
630(C2×D47)⋊C4—21no—
631(C2×D47)⋊C4—21no—
632(C2×D47)⋊C4—21no—
633(C2×D47)⋊C4—21no—
634(C2×D47)⋊C4—21no—
635(C2×D47)⋊C4—21no—
636(C2×D47)⋊C4—21no—
637(C2×D47)⋊C4—21no—
638(C2×D47)⋊C4—21no—
639(C2×D47)⋊C4—21no—
640(C2×D47)⋊C4—21no—
641(C2×D47)⋊C4—21no—
642(C2×D47)⋊C4—21no—
643(C2×D47)⋊C4—21no—
644(C2×D47)⋊C4—21no—
645(C2×D47)⋊C4—21no—
646(C2×D47)⋊C4—21no—
647(C2×D47)⋊C4C2×D411yescharacteristic
648(C2×D47)⋊C4C2×D411yescharacteristic
649(C2×D47)⋊C4C2×D411yescharacteristic
650(C2×D47)⋊C4C2×D411yescharacteristic
651(C2×D47)⋊C4C2×D411yescharacteristic
652(C2×D47)⋊C4C2×D411yescharacteristic
653C4⋊Dic47—21no—
654C4⋊Dic47—21no—
655C4⋊Dic47—21no—
656C4⋊Dic47—21no—
657C4⋊Dic47—21no—
658C4⋊Dic47—21no—
659C4⋊Dic47—21no—
660C4⋊Dic47—21no—
661C4⋊Dic47—21no—
662C4⋊Dic47—21no—
663C4⋊Dic47C2×D411yescharacteristic
664C4⋊Dic47C2×D411yescharacteristic
665C4⋊Dic47C2411yescharacteristic
666C4⋊Dic47C2411yescharacteristic
667Dic47⋊C4—21no—
668Dic47⋊C4—21no—
669Dic47⋊C4—21no—
670Dic47⋊C4—21no—
671Dic47⋊C4—21no—
672Dic47⋊C4—21no—
673Dic47⋊C4—21no—
674Dic47⋊C4—21no—
675Dic47⋊C4C2×D411yescharacteristic
676Dic47⋊C4C2×D411yescharacteristic
677Dic47⋊C4C2×D411yescharacteristic
678Dic47⋊C4C2×D411yescharacteristic
679Dic47⋊C4C2×D411yescharacteristic
680Dic47⋊C4C2×D411yescharacteristic
681C4×Dic47—21no—
682C4×Dic47—21no—
683C4×Dic47—21no—
684C4×Dic47—21no—
685C4×Dic47—21no—
686C4×Dic47C2×D411yescharacteristic
687C4×Dic47C2×D411yescharacteristic
688C4×Dic47C2411yescharacteristic
689C4×Dic47C2411yescharacteristic
690C2×C47⋊C8C2411yescharacteristic
691C2×C47⋊C8C2411yescharacteristic
692C2×C47⋊C8C2411yescharacteristic
693C2×C47⋊C8C2411yescharacteristic
694D376—22no—
695D376—41no—
696#10625325—22no—
697#10625325—22no—
698#10625325—22no—
699#10625325—41no—
700#10625325—41no—
701#10625325—41no—
702#10625324—41no—
703#10625324—41no—
704#10625324—41no—
705C8×D47—41no—
706C23×C47—21no—
707C23×C47—21no—
708C23×C47—21no—
709C23×C47C22×D411yescharacteristic
710C22×D47—21no—
711C22×D47—21no—
712C22×D47—21no—
713C22×D47—42no—
714C22×D47—42no—
715C22×D47—42no—
716C22×D47—81no—
717C22×D47—81no—
718C22×D47—81no—
719C22×D47—81no—
720C22×D47—81no—
721C22×D47—81no—
722C22×D47C22×D411yescharacteristic
723C22×D47C22×D411yescharacteristic
724Q8×C47—21no—
725Q8×C47—21no—
726Q8×C47—81no—
727D4×C47—21no—
728D4×C47—21no—
729D4×C47—21no—
730D4×C47—21no—
731D4×C47—21no—
732D4×C47—21no—
733D4×C47—81no—
734D4×C47—81no—
735D4×C47—81no—
736D4×C47—81no—
737D4×C47—81no—
738C2×C4×C47—21no—
739C2×C4×C47—21no—
740C2×C4×C47—21no—
741C2×C4×C47—21no—
742C2×C4×C47—21no—
743C2×C4×C47—21no—
744C2×C4×C47—21no—
745C2×C4×C47—81no—
746C2×C4×C47—81no—
747C2×C4×C47—81no—
748C2×C4×C47C22×D411yescharacteristic
749C2×C4×C47C22×D411yescharacteristic
750C2×C4×C47C22×D411yescharacteristic
751C2×C4×C47C22×D411yescharacteristic
752C2×C4×C47C22×D411yescharacteristic
753C2×C4×C47C2511yescharacteristic
754C22⋊D47—41no—
755C22⋊D47—41no—
756C22⋊D47—42no—
757C22⋊D47—81no—
758C22⋊D47—81no—
759C22⋊D47—81no—
760C22⋊D47—81no—
761C22⋊D47—81no—
762C22⋊D47—81no—
763C22⋊D47—81no—
764C22⋊D47—81no—
765C22⋊D47—81no—
766C22⋊D47—81no—
767C2×Dic47—21no—
768C2×Dic47—21no—
769C2×Dic47—21no—
770C2×Dic47—21no—
771C2×Dic47—21no—
772C2×Dic47—81no—
773C2×Dic47—81no—
774C2×Dic47—81no—
775C2×Dic47—81no—
776C2×Dic47—81no—
777C2×Dic47C22×D411yescharacteristic
778C2×Dic47C22×D411yescharacteristic
779C2×Dic47C22×D411yescharacteristic
780C2×Dic47C22×D411yescharacteristic
781C2×Dic47C22×D411yescharacteristic
782C2×Dic47C22×D411yescharacteristic
783D188—21no—
784D188—21no—
785D188—21no—
786D188—21no—
787D188—21no—
788D188—41no—
789D188—42no—
790D188—42no—
791D188—42no—
792D188—81no—
793D188—81no—
794D188H(5,𝔽2)12yes—
795C4×D47—21no—
796C4×D47—21no—
797C4×D47—21no—
798C4×D47—21no—
799C4×D47—41no—
800C4×D47—41no—
801C4×D47—42no—
802C4×D47—42no—
803C4×D47—81no—
804C4×D47—81no—
805C4×D47—81no—
806C4×D47—81no—
807C4×D47—81no—
808C4×D47—81no—
809C4×D47—81no—
810C4×D47—81no—
811C4×D47—81no—
812Dic94—21no—
813Dic94—21no—
814Dic94—21no—
815Dic94—21no—
816Dic94—21no—
817Dic94—21no—
818Dic94—41no—
819Dic94—81no—
820C8×C47—21no—
821C8×C47—21no—
822C8×C47—21no—
823C8×C47—21no—
824C47⋊C8—21no—
825C47⋊C8—21no—
826C47⋊C8—21no—
827C47⋊C8—21no—
828#62027—471nomaximal, Sylow
829C22×C47—21no—
830C22×C47—21no—
831C22×C47—21no—
832C22×C47—41no—
833C22×C47—41no—
834C22×C47—41no—
835C22×C47—41no—
836C22×C47—41no—
837C22×C47—41no—
838C22×C47—41no—
839C22×C47—41no—
840C22×C47—41no—
841C22×C47C23×D411yescharacteristic
842C2×D47—21no—
843C2×D47—21no—
844C2×D47—21no—
845C2×D47—21no—
846C2×D47—21no—
847C2×D47—21no—
848C2×D47—22no—
849C2×D47—41no—
850C2×D47—41no—
851C2×D47—41no—
852C2×D47—41no—
853C2×D47—41no—
854C2×D47—41no—
855C2×D47—41no—
856C2×D47—41no—
857C2×D47—84no—
858C2×D47—162no—
859C2×D47—162no—
860C4×C47—21no—
861C4×C47—21no—
862C4×C47—21no—
863C4×C47—21no—
864C4×C47—21no—
865C4×C47—41no—
866C4×C47—41no—
867C4×C47—41no—
868C4×C47—41no—
869C4×C47—41no—
870C4×C47C2×H(5,𝔽2)11yescharacteristic
871C4×C47#58511yescharacteristic
872Dic47—21no—
873Dic47—21no—
874Dic47—21no—
875Dic47—21no—
876Dic47—21no—
877Dic47—21no—
878Dic47—41no—
879Dic47—41no—
880Dic47—41no—
881Dic47—41no—
882Dic47—41no—
883#3562—471no—
884#3513—471no—
885#3401—471no—
886#3396—471no—
887#3370—471no—
888#3360—471no—
889#3330—471no—
890#3327—471no—
891#3326—471no—
892#3317—471no—
893#3306—471no—
894#3297—471no—
895#3282—471no—
896#3274—471no—
897#3273—471no—
898#3273—471no—
899#3267—471no—
900#3265—471no—
901#3260—471no—
902#3257D4711yescharacteristic, complemented
903#3256—471no—
904#3225—471no—
905#3220—471no—
906#3212—471no—
907#3122—471no—
908#3120—471no—
909#3105—471no—
910#3045—471no—
911#3042—471no—
912#3036—471no—
913#2993—471no—
914C2×C47—41no—
915C2×C47—81no—
916C2×C47—81no—
917C2×C47—81no—
918C2×C47#348811yescharacteristic
919C2×C47#358411yescharacteristic
920C2×C47#358511yescharacteristic
921D47—41no—
922D47—41no—
923D47—42no—
924D47—81no—
925D47—81no—
926C2×AGL(1,ℤ/8)—471no—
927C2×AGL(1,ℤ/8)—471no—
928C2×AGL(1,ℤ/8)—471no—
929C2×AGL(1,ℤ/8)—471no—
930C2×#135—471no—
931C22×SD16—471no—
932#562—941no—
933#560—941no—
934#559—471no—
935#559—471no—
936#556—471no—
937#554—471no—
938#553—471no—
939#553—941no—
940#553—941no—
941#552—471no—
942#551—941no—
943#551—941no—
944#551—941no—
945#550—471no—
946#548—471no—
947#548—471no—
948#547—471no—
949#547—471no—
950#546—471no—
951#546—471no—
952#546—471no—
953#546—471no—
954#546—941no—
955D42—471no—
956#542C2×D4711yescharacteristic, complemented
957#541—471no—
958#540—471no—
959#540—941no—
960#540C2×D4711yescharacteristic, complemented
961#539—941no—
962#539—941no—
963#538—941no—
964#538—941no—
965#538—941no—
966#536—471no—
967#535—471no—
968#532—471no—
969#529—471no—
970#529—471no—
971#529—471no—
972#525—941no—
973C2×#123—941no—
974#520—471no—
975#518—471no—
976C2×C4×D4—471no—
977#497—471no—
978#496—471no—
979#495—471no—
980#495—471no—
981#495—471no—
982#493—471no—
983#490—471no—
984#489—471no—
985#488—471no—
986#488—471no—
987#488—471no—
988#487—471no—
989#484—471no—
990#484—471no—
991#483—471no—
992#482—471no—
993#482—471no—
994#481—471no—
995#479—471no—
996#479—471no—
997#479—471no—
998#479C2×D4711yescharacteristic, complemented
999#478—471no—
1000#478—471no—
1001#478—471no—
1002#478C2×D4711yescharacteristic, complemented
1003#476C2×D4711yescharacteristic, complemented
1004#474C2×D4711yescharacteristic, complemented
1005#470—471no—
1006#469—471no—
1007#469C2×D4711yescharacteristic, complemented
1008#468—471no—
1009#468—471no—
1010#468—471no—
1011#468—471no—
1012#468C2×D4711yescharacteristic, complemented
1013#466C2×D4711yescharacteristic
1014#465—471no—
1015#465—471no—
1016#465C2×D4711yescharacteristic, complemented
1017#464—471no—
1018#464—471no—
1019#464—471no—
1020#463—471no—
1021#463—471no—
1022#463—471no—
1023#463—471no—
1024#463—471no—
1025#463—471no—
1026#463—471no—
1027#463—471no—
1028#463—471no—
1029#463—471no—
1030#463—471no—
1031#463C2×D4711yescharacteristic, complemented
1032#463C2×D4711yescharacteristic, complemented
1033#462—471no—
1034#461—471no—
1035#461—471no—
1036#461—471no—
1037#461—471no—
1038#461—471no—
1039#460—471no—
1040#460—471no—
1041#460—471no—
1042#460C2×D4711yescharacteristic, complemented
1043#459—471no—
1044#459—471no—
1045#459—471no—
1046#459C2×D4711yescharacteristic, complemented
1047#452—471no—
1048#452—471no—
1049#452—471no—
1050#452—471no—
1051#452—471no—
1052#451—471no—
1053#450—471no—
1054#449—471no—
1055#449—471no—
1056#449—471no—
1057#449—471no—
1058#449—471no—
1059#448—471no—
1060#447—471no—
1061#447—471no—
1062#447—471no—
1063#447—471no—
1064#447—471no—
1065#446—471no—
1066C8×Q8—471no—
1067#442—471no—
1068#442—471no—
1069#441—471no—
1070#440—471no—
1071C4×Q16—471no—
1072C4×SD16—471no—
1073C4×SD16—471no—
1074C4×SD16—471no—
1075C4×D8—471no—
1076C4×D8—471no—
1077C4×D8—471no—
1078C4×D8—471no—
1079#436—471no—
1080#436—471no—
1081#436—471no—
1082#435—471no—
1083#435—471no—
1084C8×D4—471no—
1085#433—471no—
1086#433—471no—
1087#431—471no—
1088#424—471no—
1089#424C2×D4711yescharacteristic, complemented
1090#423—471no—
1091#419—471no—
1092#417—471no—
1093#417—471no—
1094#417—471no—
1095#416—471no—
1096C2×#102—471no—
1097C47#6202711yescharacteristic, complemented, Sylow
1098C2×#41—471no—
1099C2×#41—471no—
1100C2×#41—471no—
1101C2×#41—471no—
1102C2×#41—471no—
1103C2×#41—941no—
1104C22×Q8—471no—
1105C22×D4—471no—
1106C22×D4—471no—
1107C22×D4—471no—
1108C22×D4—941no—
1109C23×C4—941no—
1110AGL(1,ℤ/8)—1882no—
1111AGL(1,ℤ/8)—1882no—
1112AGL(1,ℤ/8)—1882no—
1113AGL(1,ℤ/8)—1882no—
1114#135—1882no—
1115C2×Q16—471no—
1116C2×Q16—471no—
1117C2×Q16—471no—
1118C2×SD16—471no—
1119C2×SD16—471no—
1120C2×SD16—471no—
1121C2×SD16—471no—
1122C2×SD16—471no—
1123C2×SD16—471no—
1124C2×SD16—471no—
1125C2×SD16—471no—
1126C2×SD16—471no—
1127C2×SD16—471no—
1128C2×SD16—1882no—
1129C2×SD16C22×D4711yescharacteristic
1130C2×SD16C22×D4711yescharacteristic
1131C2×D8—471no—
1132C2×D8—471no—
1133C2×D8—471no—
1134C2×D8—471no—
1135C2×D8—471no—
1136C2×D8—471no—
1137C2×D8—471no—
1138C2×D8C22×D4711yescharacteristic
1139C2×D8C22×D4711yescharacteristic
1140C2×M16—471no—
1141C2×M16—471no—
1142C2×M16—471no—
1143C2×M16C22×D4711yescharacteristic
1144C22×C8—471no—
1145C22×C8C22×D4711yescharacteristic
1146C4⋊Q8—471no—
1147C4⋊Q8—471no—
1148C4⋊Q8C22×D4711yescharacteristic
1149#127—471no—
1150#127—471no—
1151#127—941no—
1152#127C22×D4711yescharacteristic
1153#126—21no—
1154#126—471no—
1155#126—471no—
1156#126—941no—
1157#126—941no—
1158#126—941no—
1159#126—941no—
1160#126—941no—
1161#126—941no—
1162#126—941no—
1163#126—941no—
1164#125—471no—
1165#125—471no—
1166#125—471no—
1167#125—941no—
1168#125—941no—
1169#125—941no—
1170#125C22×D4711yescharacteristic
1171#124—21no—
1172#124—471no—
1173#124—471no—
1174#124—471no—
1175#124—471no—
1176#124—471no—
1177#124—471no—
1178#124—471no—
1179#124—941no—
1180#124—941no—
1181#124—941no—
1182#124—941no—
1183#124C22×D4711yescharacteristic
1184#123—21no—
1185#123—21no—
1186#123—21no—
1187#123—471no—
1188#123—471no—
1189#123—941no—
1190#123—941no—
1191#123—941no—
1192#123—941no—
1193#123—941no—
1194#123—941no—
1195#123—941no—
1196#123—941no—
1197#123—941no—
1198#123—941no—
1199#123—941no—
1200#123—941no—
1201#123—941no—
1202#123—941no—
1203#123—941no—
1204#123—941no—
1205#123—941no—
1206#123—941no—
1207#123—941no—
1208#123—941no—
1209C22⋊Q8—21no—
1210C22⋊Q8—471no—
1211C22⋊Q8—471no—
1212C22⋊Q8—471no—
1213C22⋊Q8—471no—
1214C22⋊Q8—471no—
1215C22⋊Q8—941no—
1216C22⋊Q8—941no—
1217C22⋊Q8—941no—
1218C22⋊Q8—941no—
1219C22⋊Q8—941no—
1220C22⋊Q8—941no—
1221C22⋊Q8—941no—
1222C22⋊Q8—941no—
1223C22⋊Q8—941no—
1224C22⋊Q8C22×D4711yescharacteristic
1225#121—21no—
1226#121—21no—
1227#121—471no—
1228#121—471no—
1229#121—471no—
1230#121—471no—
1231#121—471no—
1232#121—941no—
1233#121—941no—
1234#121—941no—
1235#121—941no—
1236#121—941no—
1237#121—941no—
1238#121—941no—
1239#121—941no—
1240#121—941no—
1241#121—941no—
1242#121—941no—
1243#121—941no—
1244#121—941no—
1245#121—941no—
1246#121—941no—
1247#121—941no—
1248#121—941no—
1249#121C22×D4711yescharacteristic
1250#121C22×D4711yescharacteristic
1251#121C22×D4711yescharacteristic
1252#120—941no—
1253#120—941no—
1254#120—941no—
1255#120—941no—
1256#120—941no—
1257#120—941no—
1258#120—941no—
1259#120—941no—
1260C4×Q8—471no—
1261C4×Q8—471no—
1262C4×Q8—471no—
1263C4×Q8—471no—
1264C4×Q8—471no—
1265C4×Q8C22×D4711yescharacteristic
1266C4×D4—471no—
1267C4×D4—471no—
1268C4×D4—471no—
1269C4×D4—471no—
1270C4×D4—471no—
1271C4×D4—471no—
1272C4×D4—471no—
1273C4×D4—471no—
1274C4×D4—471no—
1275C4×D4—471no—
1276C4×D4—471no—
1277C4×D4—941no—
1278C4×D4—941no—
1279C4×D4—941no—
1280C4×D4—941no—
1281C4×D4—941no—
1282C4×D4—941no—
1283C4×D4—941no—
1284C4×D4—941no—
1285C4×D4—941no—
1286C4×D4—941no—
1287C4×D4—941no—
1288C4×D4—941no—
1289C4×D4—941no—
1290C4×D4—941no—
1291C4×D4—941no—
1292C4×D4—941no—
1293C4×D4C22×D4711yescharacteristic
1294C4×D4C22×D4711yescharacteristic
1295C4×D4C22×D4711yescharacteristic
1296#117—471no—
1297#117—471no—
1298#117—941no—
1299#117—941no—
1300#117—941no—
1301#117—941no—
1302#117—941no—
1303#117C22×D4711yescharacteristic
1304C2×C4⋊C4—471no—
1305C2×C4⋊C4—471no—
1306C2×C4⋊C4—941no—
1307C2×C4⋊C4—941no—
1308C2×C4⋊C4—941no—
1309C2×C22⋊C4—941no—
1310C2×C22⋊C4—941no—
1311C2×C22⋊C4—941no—
1312C2×C22⋊C4—941no—
1313C2×C22⋊C4—941no—
1314C2×C22⋊C4—941no—
1315C2×C22⋊C4—941no—
1316C2×C42—471no—
1317#107—471no—
1318#107—471no—
1319#107C22×D4711yescharacteristic
1320#107C22×D4711yescharacteristic
1321#106—471no—
1322#106—471no—
1323#106C22×D4711yescharacteristic
1324#106C22×D4711yescharacteristic
1325C4⋊C8—471no—
1326C4⋊C8—471no—
1327C4⋊C8—471no—
1328C4⋊C8—471no—
1329C4⋊C8—471no—
1330C4⋊C8—471no—
1331C4⋊C8C22×D4711yescharacteristic
1332C4⋊C8C22×D4711yescharacteristic
1333C4⋊C8C22×D4711yescharacteristic
1334C4⋊C8C22×D4711yescharacteristic
1335#103—471no—
1336#103—471no—
1337#103—471no—
1338#103—471no—
1339#103—471no—
1340#103—471no—
1341#103—471no—
1342#103—471no—
1343#103—471no—
1344#103—471no—
1345#103—471no—
1346#103—471no—
1347#103C22×D4711yescharacteristic
1348#103C22×D4711yescharacteristic
1349#102—471no—
1350#102—471no—
1351#102—471no—
1352#102—471no—
1353#102—471no—
1354#102—471no—
1355#102—471no—
1356#102—471no—
1357#102—471no—
1358#102—471no—
1359#102—471no—
1360#102—471no—
1361#102C22×D4711yescharacteristic
1362#102C22×D4711yescharacteristic
1363#102C22×D4711yescharacteristic
1364#102C22×D4711yescharacteristic
1365#102C22×D4711yescharacteristic
1366#102C22×D4711yescharacteristic
1367C22⋊C8—471no—
1368C22⋊C8—471no—
1369C22⋊C8—471no—
1370C22⋊C8—471no—
1371C22⋊C8—471no—
1372C22⋊C8—471no—
1373#97—471no—
1374#97—471no—
1375C4×C8—471no—
1376C4×C8—471no—
1377C4×C8—471no—
1378C4×C8—471no—
1379C24—941no—
1380C24—941no—
1381C24—941no—
1382#41—942no—
1383#41—3762no—
1384#41—1881no—
1385#41—1881no—
1386#41—1881no—
1387#41—1881no—
1388#41—1881no—
1389#41—1881no—
1390#41—1881no—
1391#41—1881no—
1392#41—1881no—
1393C2×Q8—21no—
1394C2×Q8—471no—
1395C2×Q8—471no—
1396C2×Q8—471no—
1397C2×Q8—471no—
1398C2×Q8—941no—
1399C2×Q8—1881no—
1400C2×Q8—1881no—
1401C2×Q8C23×D4711yescharacteristic
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—471no—
1408C2×D4—471no—
1409C2×D4—471no—
1410C2×D4—471no—
1411C2×D4—471no—
1412C2×D4—471no—
1413C2×D4—942no—
1414C2×D4—941no—
1415C2×D4—941no—
1416C2×D4—941no—
1417C2×D4—941no—
1418C2×D4—941no—
1419C2×D4—941no—
1420C2×D4—941no—
1421C2×D4—941no—
1422C2×D4—941no—
1423C2×D4—941no—
1424C2×D4—942no—
1425C2×D4—941no—
1426C2×D4—941no—
1427C2×D4—941no—
1428C2×D4—941no—
1429C2×D4—941no—
1430C2×D4—941no—
1431C2×D4—3762no—
1432C2×D4—1881no—
1433C2×D4—1881no—
1434C2×D4—1881no—
1435C2×D4—1881no—
1436C2×D4C23×D4711yescharacteristic
1437C2×D4C23×D4711yescharacteristic
1438C2×D4C23×D4711yescharacteristic
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—471no—
1443C22×C4—471no—
1444C22×C4—471no—
1445C22×C4—471no—
1446C22×C4—941no—
1447C22×C4—941no—
1448C22×C4—941no—
1449C22×C4—941no—
1450C22×C4—941no—
1451C22×C4—941no—
1452C22×C4—941no—
1453C22×C4—941no—
1454C22×C4—941no—
1455C22×C4—941no—
1456C22×C4—941no—
1457C22×C4—941no—
1458C22×C4—941no—
1459C22×C4—941no—
1460C22×C4—941no—
1461C22×C4—941no—
1462C22×C4—3762no—
1463C22×C4C23×D4711yescharacteristic
1464Q16—1881no—
1465Q16—1881no—
1466Q16—1881no—
1467SD16—41no—
1468SD16—41no—
1469SD16—942no—
1470SD16—942no—
1471SD16—942no—
1472SD16—1881no—
1473SD16—1881no—
1474SD16—1881no—
1475SD16—1881no—
1476SD16—1881no—
1477SD16—1881no—
1478SD16—1881no—
1479D8—41no—
1480D8—41no—
1481D8—942no—
1482D8—942no—
1483D8—942no—
1484D8—1881no—
1485D8—1881no—
1486D8—1881no—
1487D8—1881no—
1488M16—41no—
1489M16—1881no—
1490M16—1881no—
1491M16—1881no—
1492C2×C8—41no—
1493C2×C8—471no—
1494C2×C8—471no—
1495C2×C8—471no—
1496C2×C8—471no—
1497C2×C8—1881no—
1498C2×C8C23×D4711yescharacteristic
1499C2×C8C23×D4711yescharacteristic
1500C2×C8C23×D4711yescharacteristic
1501C2×C8C23×D4711yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—471no—
1508C4⋊C4—471no—
1509C4⋊C4—471no—
1510C4⋊C4—471no—
1511C4⋊C4—471no—
1512C4⋊C4—471no—
1513C4⋊C4—471no—
1514C4⋊C4—471no—
1515C4⋊C4—471no—
1516C4⋊C4—471no—
1517C4⋊C4—941no—
1518C4⋊C4—941no—
1519C4⋊C4—941no—
1520C4⋊C4—941no—
1521C4⋊C4—941no—
1522C4⋊C4—941no—
1523C4⋊C4—941no—
1524C4⋊C4—941no—
1525C4⋊C4—941no—
1526C4⋊C4—941no—
1527C4⋊C4—941no—
1528C4⋊C4—941no—
1529C4⋊C4—941no—
1530C4⋊C4—941no—
1531C4⋊C4—941no—
1532C4⋊C4—941no—
1533C4⋊C4—941no—
1534C4⋊C4—941no—
1535C4⋊C4D4×D4711yescharacteristic
1536C4⋊C4D4×D4711yescharacteristic
1537C4⋊C4C23×D4711yescharacteristic
1538C4⋊C4C23×D4711yescharacteristic
1539C4⋊C4C23×D4711yescharacteristic
1540C4⋊C4C23×D4711yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—471no—
1551C22⋊C4—471no—
1552C22⋊C4—471no—
1553C22⋊C4—471no—
1554C22⋊C4—471no—
1555C22⋊C4—471no—
1556C22⋊C4—471no—
1557C22⋊C4—471no—
1558C22⋊C4—941no—
1559C22⋊C4—941no—
1560C22⋊C4—941no—
1561C22⋊C4—941no—
1562C22⋊C4—941no—
1563C22⋊C4—941no—
1564C22⋊C4—941no—
1565C22⋊C4—941no—
1566C22⋊C4—941no—
1567C22⋊C4—941no—
1568C22⋊C4—941no—
1569C22⋊C4—941no—
1570C22⋊C4—941no—
1571C22⋊C4—941no—
1572C22⋊C4—941no—
1573C22⋊C4—941no—
1574C22⋊C4—941no—
1575C22⋊C4—941no—
1576C22⋊C4—941no—
1577C22⋊C4—941no—
1578C22⋊C4—941no—
1579C22⋊C4—941no—
1580C22⋊C4—941no—
1581C22⋊C4—941no—
1582C22⋊C4—941no—
1583C22⋊C4—941no—
1584C22⋊C4—941no—
1585C22⋊C4—941no—
1586C22⋊C4—941no—
1587C22⋊C4D4×D4711yescharacteristic
1588C22⋊C4D4×D4711yescharacteristic
1589C42—21no—
1590C42—471no—
1591C42—471no—
1592C42—471no—
1593C42—471no—
1594C42—941no—
1595C42—941no—
1596C42—941no—
1597C42—941no—
1598C42—941no—
1599C42C23×D4711yescharacteristic
1600C42C23×D4711yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—471no—
1605C23—471no—
1606C23—941no—
1607C23—941no—
1608C23—941no—
1609C23—3761no—
1610C23—3761no—
1611C23—3761no—
1612C23—3761no—
1613C23—3761no—
1614C23—3761no—
1615C23—1882no—
1616C23—1882no—
1617C23—1882no—
1618C23C2×D4×D4711yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—81no—
1622Q8—941no—
1623Q8—941no—
1624Q8—941no—
1625Q8—941no—
1626Q8—941no—
1627Q8—941no—
1628Q8—3761no—
1629Q8—1881no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—81no—
1637D4—81no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—472no—
1642D4—941no—
1643D4—941no—
1644D4—941no—
1645D4—941no—
1646D4—941no—
1647D4—3761no—
1648D4—3761no—
1649D4—3761no—
1650D4—3761no—
1651D4—3761no—
1652D4—3761no—
1653D4—3761no—
1654D4—3761no—
1655D4—3761no—
1656D4—3761no—
1657D4—3761no—
1658D4—3761no—
1659D4—1881no—
1660D4—1882no—
1661D4—1882no—
1662D4—1882no—
1663D4—1881no—
1664D4—1881no—
1665D4—1882no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—81no—
1674C2×C4—81no—
1675C2×C4—81no—
1676C2×C4—471no—
1677C2×C4—471no—
1678C2×C4—471no—
1679C2×C4—471no—
1680C2×C4—471no—
1681C2×C4—471no—
1682C2×C4—941no—
1683C2×C4—941no—
1684C2×C4—941no—
1685C2×C4—941no—
1686C2×C4—941no—
1687C2×C4—941no—
1688C2×C4—941no—
1689C2×C4—941no—
1690C2×C4—941no—
1691C2×C4—3761no—
1692C2×C4—3761no—
1693C2×C4—3761no—
1694C2×C4—3761no—
1695C2×C4—3761no—
1696C2×C4—3761no—
1697C2×C4—3761no—
1698C2×C4—3761no—
1699C2×C4—3761no—
1700C2×C4—3761no—
1701C2×C4—3761no—
1702C2×C4—3761no—
1703C2×C4—3761no—
1704C2×C4—3761no—
1705C2×C4—1881no—
1706C2×C4—1881no—
1707C2×C4—1882no—
1708C2×C4—1882no—
1709C2×C4C2×D4×D4711yescharacteristic
1710C2×C4C2×D4×D4711yescharacteristic
1711C2×C4C2×D4×D4711yescharacteristic
1712C2×C4C2×D4×D4711yescharacteristic
1713C2×C4C2×D4×D4711yescharacteristic
1714C2×C4C24×D4711yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—941no—
1720C8—941no—
1721C8—941no—
1722C8—941no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—941no—
1736C22—941no—
1737C22—942no—
1738C22—941no—
1739C22—941no—
1740C22—941no—
1741C22—941no—
1742C22—3764no—
1743C22—1881no—
1744C22—1881no—
1745C22—1881no—
1746C22—1881no—
1747C22—1881no—
1748C22—1881no—
1749C22—1881no—
1750C22—1881no—
1751C22—7522no—
1752C22—7522no—
1753C22C22×D4×D4711yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—941no—
1765C4—941no—
1766C4—941no—
1767C4—941no—
1768C4—941no—
1769C4—941no—
1770C4—1881no—
1771C4—1881no—
1772C4—1881no—
1773C4—1881no—
1774C4—1881no—
1775C4H(5,𝔽2)×D4711yescharacteristic
1776C4#1568996011yescharacteristic
1777C2—41no—
1778C2—81no—
1779C2—81no—
1780C2—81no—
1781C2—3761no—
1782C2—3761no—
1783C2—1881no—
1784C2—1881no—
1785C2—1882no—
1786C2#2025705211yescharacteristic
1787C2#2025816011yescharacteristic
1788C2#2025816311yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3257C2
socleC22×C47C23×D4
hypercenter#3257D47
hypocenterC47#62027
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ #117 ◁ #3257

Complements

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

NH ≅ G/Ntype
1. #20257978C2semidirect
2. #20257334C2semidirect
3. #20256451C2semidirect
4. #20256395C2semidirect
5. #20256148C2semidirect
6. #20256036C2semidirect
7. #20255690C2semidirect
8. #20255662C2semidirect
9. #20255647C2semidirect
10. #20255520C2semidirect
11. #20255346C2semidirect
12. #20255233C2semidirect
13. #20255092C2semidirect
14. #20255005C2semidirect
15. #20254996C2semidirect
16. #20254994C2semidirect
17. #20254908C2semidirect
18. #20254880C2semidirect
19. #20254836C2semidirect
20. #20254791C2semidirect
21. #20254491C2semidirect
22. #20254437C2semidirect
23. #20254368C2semidirect
24. #20253626C2semidirect
25. #20253609C2semidirect
26. #20253440C2semidirect
27. #20252924C2semidirect
28. #20252901C2semidirect
29. #20252847C2semidirect
30. #20252535C2semidirect
31. C47×#3257C2semidirect
35. C2×#13094048C22semidirect
37. C22×#10625325C22semidirect
40. #15689856C22semidirect
41. #15689855C22semidirect
42. #15689843C22semidirect
43. #15689834C22semidirect
47. #15689807C22semidirect
53. #15689779C22semidirect
54. #15689777C22semidirect
56. #15689770C22semidirect
57. #15689768C22semidirect
61. #15689757C22semidirect
62. #15689736C22semidirect
70. #15689699C22semidirect
71. #15689686C22semidirect
72. #15689671C22semidirect
73. #15689660C22semidirect
74. #15689658C22semidirect
79. #15689597C22semidirect
80. C4×D4×D47C22semidirect
81. #15689518C22semidirect
83. #15689505C22semidirect
84. #15689504C22semidirect
85. #15689504C22semidirect
87. #15689486C22semidirect
88. #15689485C22semidirect
89. #15689476C22semidirect
90. #15689476C22semidirect
91. #15689476C22semidirect
92. #15689475C22semidirect
93. #15689460C22semidirect
94. #15689460C22semidirect
95. #15689455C22semidirect
96. #15689444C22semidirect
97. #15689444C22semidirect
98. #15689443C22semidirect
99. #15689433C22semidirect
100. #15689433C22semidirect
101. #15689429C22semidirect
102. #15689426C22semidirect
103. #15689420C22semidirect
104. #15689420C22semidirect
105. #15689380C22semidirect
107. #15689372C22semidirect
108. #15689370C22semidirect
109. #15689370C22semidirect
110. #15689368C22semidirect
111. #15689353C22semidirect
112. #15689351C22semidirect
113. #15689348C22semidirect
114. #15689345C22semidirect
115. #15689343C22semidirect
116. #15689341C22semidirect
119. #15689339C22semidirect
120. #15689339C22semidirect
121. #15689338C22semidirect
124. #15689337C22semidirect
125. #15689336C22semidirect
126. #15689336C22semidirect
127. #15689333C22semidirect
128. #15689329C22semidirect
129. #15689329C22semidirect
130. #15689329C22semidirect
131. #15689329C22semidirect
132. #15689328C22semidirect
133. #15689322C22semidirect
134. #15689322C22semidirect
135. #15689321C22semidirect
138. #15689315C22semidirect
141. #15689283C22semidirect
142. #15689282C22semidirect
143. #15689282C22semidirect
144. #15689278C22semidirect
145. #15689275C22semidirect
147. #15689269C22semidirect
148. #15689269C22semidirect
150. #15689265C22semidirect
151. #15689261C22semidirect
153. #15689258C22semidirect
155. #15689256C22semidirect
156. #15689255C22semidirect
157. #15689252C22semidirect
158. #15689247C22semidirect
159. #15689233C22semidirect
160. #15689233C22semidirect
161. #15689227C22semidirect
162. #15689222C22semidirect
163. #15689215C22semidirect
164. #15689214C22semidirect
165. #15689210C22semidirect
166. #15689210C22semidirect
169. C4×#10625334C22semidirect
170. #15689203C22semidirect
171. #15689200C22semidirect
172. #15689199C22semidirect
173. #15689199C22semidirect
174. #15689194C22semidirect
175. #15689193C22semidirect
176. C8×C22⋊D47C22semidirect
177. #15689184C22semidirect
178. #15689183C22semidirect
179. #15689175C22semidirect
180. #15689148C22semidirect
181. #15689145C22semidirect
182. #15689133C22semidirect
183. #15689121C22semidirect
184. #15689121C22semidirect
185. #15689121C22semidirect
186. #15689120C22semidirect
187. #102×D47C22semidirect
188. C47×#542C22semidirect
189. C47×#540C22semidirect
190. C47×#479C22semidirect
191. C47×#478C22semidirect
192. C47×#476C22semidirect
193. C47×#474C22semidirect
194. C47×#469C22semidirect
195. C47×#468C22semidirect
197. C47×#465C22semidirect
198. C47×#463C22semidirect
199. C47×#463C22semidirect
200. C47×#460C22semidirect
201. C47×#459C22semidirect
202. C47×#424C22semidirect
902. #3257D47semidirect
956. #542C2×D47semidirect
960. #540C2×D47semidirect
998. #479C2×D47semidirect
1002. #478C2×D47semidirect
1003. #476C2×D47semidirect
1004. #474C2×D47semidirect
1007. #469C2×D47semidirect
1012. #468C2×D47semidirect
1016. #465C2×D47semidirect
1031. #463C2×D47semidirect
1032. #463C2×D47semidirect
1042. #460C2×D47semidirect
1046. #459C2×D47semidirect
1089. #424C2×D47semidirect
1097. C47#62027semidirect

Maximal subgroups

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

subgroupindex
#202579782
#202573342
#202564512
#202563952
#202561482
#202560362
#202556902
#202556622
#202556472
#202555202
#202553462
#202552332
#202550922
#202550052
#202549962
#202549942
#202549082
#202548802
#202548362
#202547912
#202544912
#202544372
#202543682
#202536262
#202536092
#202534402
#202529242
#202529012
#202528472
#202525352
C47×#32572
#6202747