Finite Group Databasebeta

← #27110059

Subgroups — #27110059

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#20257316C211yesmaximal, characteristic, complemented
3#20256459C211yesmaximal, characteristic, complemented
4#20256400C211yesmaximal, characteristic, complemented
5#20256146C211yesmaximal, characteristic, complemented
6#20256035C211yesmaximal, characteristic, complemented
7#20255695C211yesmaximal, characteristic, complemented
8#20255654C211yesmaximal, characteristic, complemented
9#20255639C211yesmaximal, characteristic, complemented
10#20255512C211yesmaximal, characteristic, complemented
11#20255354C211yesmaximal, characteristic, complemented
12#20255241C211yesmaximal, characteristic, complemented
13#20255099C211yesmaximal, characteristic, complemented
14#20255006C211yesmaximal, characteristic, complemented
15#20254999C211yesmaximal, characteristic, complemented
16#20254998C211yesmaximal, characteristic, complemented
17#20254915C211yesmaximal, characteristic, complemented
18#20254887C211yesmaximal, characteristic, complemented
19#20254836C211yesmaximal, characteristic, complemented
20#20254793C211yesmaximal, characteristic, complemented
21#20254788C211yesmaximal, characteristic, complemented
22#20254499C211yesmaximal, characteristic, complemented
23#20254437C211yesmaximal, characteristic, complemented
24#20254362C211yesmaximal, characteristic, complemented
25#20253607C211yesmaximal, characteristic, complemented
26#20253440C211yesmaximal, characteristic, complemented
27#20252922C211yesmaximal, characteristic, complemented
28#20252900C211yesmaximal, characteristic, complemented
29#20252847C211yesmaximal, characteristic, complemented
30#20252531C211yesmaximal, characteristic, complemented
31C47×#3122C211yesmaximal, characteristic, complemented
32C2×#13094050C2211yescharacteristic
33C2×#13094048C2211yescharacteristic
34C2×#13094048C2211yescharacteristic
35C2×#13094048C2211yescharacteristic, complemented
36C2×#13094043C2211yescharacteristic
37C22×#10625335C2211yescharacteristic, complemented
38#15689870—21no—
39#15689861—21no—
40#15689856C2211yescharacteristic, complemented
41#15689856C2211yescharacteristic, complemented
42#15689843C2211yescharacteristic, complemented
43#15689830C2211yescharacteristic, complemented
44#15689825—21no—
45#15689819—21no—
46#15689817C2211yescharacteristic
47#15689812C2211yescharacteristic, complemented
48#15689802—21no—
49#15689799—21no—
50#15689796—21no—
51#15689791C2211yescharacteristic
52#15689779C2211yescharacteristic
53#15689779C2211yescharacteristic, complemented
54#15689778C2211yescharacteristic
55#15689777C2211yescharacteristic, complemented
56#15689770C2211yescharacteristic, complemented
57#15689768C2211yescharacteristic
58#15689768C2211yescharacteristic, complemented
59#15689767C2211yescharacteristic
60#15689763—21no—
61D4×C22⋊D47C2211yescharacteristic, complemented
62#15689744C2211yescharacteristic, complemented
63#15689736C2211yescharacteristic, complemented
64#15689726—21no—
65#15689724C2211yescharacteristic
66#15689717—21no—
67#15689715—21no—
68#15689711—21no—
69#15689710—21no—
70#15689709—21no—
71#15689699C2211yescharacteristic, complemented
72#15689686C2211yescharacteristic, complemented
73#15689671C2211yescharacteristic, complemented
74#15689658C2211yescharacteristic, complemented
75#15689655C2211yescharacteristic, complemented
76#15689651C2211yescharacteristic
77#15689632—21no—
78C2×#13094006—21no—
79#15689602C2211yescharacteristic
80C4×D4×D47C2211yescharacteristic, complemented
81#15689517C2211yescharacteristic, complemented
82#15689511C2211yescharacteristic
83#15689507C2211yescharacteristic, complemented
84#15689506C2211yescharacteristic, complemented
85#15689506C2211yescharacteristic, complemented
86#15689498C2211yescharacteristic
87#15689486C2211yescharacteristic, complemented
88#15689483C2211yescharacteristic, complemented
89#15689476C2211yescharacteristic, complemented
90#15689476C2211yescharacteristic, complemented
91#15689476C2211yescharacteristic, complemented
92#15689474C2211yescharacteristic, complemented
93#15689460C2211yescharacteristic, complemented
94#15689460C2211yescharacteristic, complemented
95#15689455C2211yescharacteristic, complemented
96#15689443C2211yescharacteristic, complemented
97#15689433C2211yescharacteristic, complemented
98#15689429C2211yescharacteristic, complemented
99#15689429C2211yescharacteristic, complemented
100#15689427C2211yescharacteristic, complemented
101#15689422C2211yescharacteristic, complemented
102#15689420C2211yescharacteristic, complemented
103#15689413C2211yescharacteristic, complemented
104#15689403C2211yescharacteristic, complemented
105#15689382C2211yescharacteristic, complemented
106#15689375C2211yescharacteristic
107#15689374C2211yescharacteristic, complemented
108#15689370C2211yescharacteristic, complemented
109#15689370C2211yescharacteristic, complemented
110#15689368C2211yescharacteristic, complemented
111#15689368C2211yescharacteristic, complemented
112#15689367C2211yescharacteristic, complemented
113#15689357C2211yescharacteristic
114#15689353C2211yescharacteristic, complemented
115#15689351C2211yescharacteristic, complemented
116#15689350C2211yescharacteristic, complemented
117#15689346C2211yescharacteristic, complemented
118#15689344C2211yescharacteristic, complemented
119#15689344C2211yescharacteristic, complemented
120#15689339C2211yescharacteristic, complemented
121#15689338C2211yescharacteristic
122#15689338C2211yescharacteristic
123#15689338C2211yescharacteristic, complemented
124#15689338C2211yescharacteristic, complemented
125#15689338C2211yescharacteristic, complemented
126#15689338C2211yescharacteristic, complemented
127#15689337C2211yescharacteristic, complemented
128#15689337C2211yescharacteristic, complemented
129#15689337C2211yescharacteristic, complemented
130#15689336C2211yescharacteristic
131#15689336C2211yescharacteristic
132#15689336C2211yescharacteristic, complemented
133#15689334C2211yescharacteristic, complemented
134#15689329C2211yescharacteristic, complemented
135#15689328C2211yescharacteristic, complemented
136#15689328C2211yescharacteristic, complemented
137#15689328C2211yescharacteristic, complemented
138#15689328C2211yescharacteristic, complemented
139#15689322C2211yescharacteristic, complemented
140#15689322C2211yescharacteristic, complemented
141#15689322C2211yescharacteristic, complemented
142#15689320C2211yescharacteristic, complemented
143#15689316C2211yescharacteristic
144#15689315C2211yescharacteristic, complemented
145#15689287C2211yescharacteristic, complemented
146#15689286C2211yescharacteristic
147#15689286C2211yescharacteristic
148#15689286C2211yescharacteristic, complemented
149#15689286C2211yescharacteristic, complemented
150#15689281C2211yescharacteristic, complemented
151#15689275C2211yescharacteristic, complemented
152#15689270C2211yescharacteristic
153#15689269C2211yescharacteristic, complemented
154#15689265C2211yescharacteristic
155#15689265C2211yescharacteristic, complemented
156#15689265C2211yescharacteristic, complemented
157#15689264C2211yescharacteristic, complemented
158#15689258C2211yescharacteristic
159#15689258C2211yescharacteristic, complemented
160#15689255C2211yescharacteristic, complemented
161#15689251C2211yescharacteristic, complemented
162C8×Dic94C2211yescharacteristic, complemented
163#15689229C2211yescharacteristic, complemented
164#15689220C2211yescharacteristic, complemented
165#15689217C2211yescharacteristic, complemented
166#15689214C2211yescharacteristic, complemented
167#15689214C2211yescharacteristic, complemented
168#15689210C2211yescharacteristic, complemented
169#15689205C2211yescharacteristic, complemented
170#15689203C2211yescharacteristic
171#15689202C2211yescharacteristic, complemented
172#15689198C2211yescharacteristic, complemented
173#15689198C2211yescharacteristic, complemented
174#15689196C2211yescharacteristic, complemented
175#15689191C2211yescharacteristic, complemented
176(C22⋊D47)⋊C8C2211yescharacteristic, complemented
177#15689183C2211yescharacteristic, complemented
178#15689175C2211yescharacteristic, complemented
179#15689150C2211yescharacteristic, complemented
180#15689148C2211yescharacteristic, complemented
181#15689145C2211yescharacteristic, complemented
182#15689131C2211yescharacteristic, complemented
183#15689121C2211yescharacteristic, complemented
184#15689121C2211yescharacteristic, complemented
185#15689121C2211yescharacteristic, complemented
186#15689117C2211yescharacteristic, complemented
187#102×D47C2211yescharacteristic, complemented
188C47×#540C2211yescharacteristic, complemented
189C47×#518C2211yescharacteristic, complemented
190C47×#482C2211yescharacteristic, complemented
191C47×#482C2211yescharacteristic, complemented
192C47×#478C2211yescharacteristic, complemented
193C47×#478C2211yescharacteristic, complemented
194C47×#459C2211yescharacteristic
195C47×#459C2211yescharacteristic, complemented
196C47×#447C2211yescharacteristic
197C47×#447C2211yescharacteristic, complemented
198C47×#442C2211yescharacteristic, complemented
199C47×#442C2211yescharacteristic, complemented
200C4×D8×C47C2211yescharacteristic
201C4×D8×C47C2211yescharacteristic, complemented
202C47×#433C2211yescharacteristic, complemented
203C2×#10625350—21no—
204C2×#10625350C2311yescharacteristic
205C2×#10625352C2311yescharacteristic
206C2×#10625352C2311yescharacteristic
207C2×#10625352C2311yescharacteristic
208C2×#10625352C2311yescharacteristic
209C22×Dic94C2311yescharacteristic
210C22×C22⋊D47—21no—
211C2×D4×D47C2311yescharacteristic
212C2×D4×D47C2311yescharacteristic
213C22×C4×D47—21no—
214#13094050—42no—
215#13094048—42no—
216#13094048—42no—
217#13094048—42no—
218#13094043—42no—
219C2×Dic188C2311yescharacteristic
220C2×Dic188C2311yescharacteristic
221C2×Dic188C2311yescharacteristic
222C2×#10625325C2311yescharacteristic
223C2×#10625325C2311yescharacteristic
224C2×#10625325C2311yescharacteristic
225C2×#10625325C2311yescharacteristic
226C2×#10625335—42no—
227C2×#10625335C2311yescharacteristic
228C2×#10625335C2311yescharacteristic
229C2×#10625335C2311yescharacteristic
230C2×#10625335C2311yescharacteristic
231C2×#10625335C2311yescharacteristic
232C2×#10625335C2311yescharacteristic
233C2×#10625335C2311yescharacteristic
234C2×#10625335C2311yescharacteristic
235C2×D376C2311yescharacteristic
236C2×#10625334C2311yescharacteristic
237C2×#10625334C2311yescharacteristic
238C2×#10625334C2311yescharacteristic
239C2×#10625334C2311yescharacteristic
240C2×#10625329C2311yescharacteristic
241C2×#10625324C2311yescharacteristic
242C2×#10625324C2311yescharacteristic
243C2×#10625324C2311yescharacteristic
244C22×C47⋊C8C2311yescharacteristic
245C2×C8×D47C2311yescharacteristic
246#13094024C2311yescharacteristic
247#13094024C2311yescharacteristic
248#13094024C2311yescharacteristic
249#13094020—21no—
250#13094020C2311yescharacteristic
251#13094020C2311yescharacteristic
252#13094019—21no—
253#13094019—21no—
254#13094019—21no—
255#13094019—21no—
256#13094019D411yescharacteristic
257#13094018—21no—
258#13094017—21no—
259#13094017—21no—
260#13094017—21no—
261#13094017—21no—
262#13094017D411yescharacteristic
263#13094016—21no—
264#13094015—21no—
265#13094015—21no—
266#13094015C2311yescharacteristic
267#13094015C2311yescharacteristic
268#13094014D411yescharacteristic
269#13094012C2311yescharacteristic
270#13094012C2311yescharacteristic
271#13094012C2311yescharacteristic
272#13094011C2311yescharacteristic
273#13094011C2311yescharacteristic
274#13094011C2311yescharacteristic
275#13094011C2311yescharacteristic
276#13094010—21no—
277#13094010—21no—
278#13094010—21no—
279#13094010—21no—
280#13094010—21no—
281#13094010D411yescharacteristic
282#13094009—21no—
283#13094009D411yescharacteristic
284#13094008—21no—
285#13094008—21no—
286#13094008—21no—
287#13094008—21no—
288#13094008—21no—
289#13094008—21no—
290#13094007—21no—
291#13094007—21no—
292#13094007—21no—
293#13094006—21no—
294#13094006—21no—
295#13094006—21no—
296#13094006—21no—
297#13094006—21no—
298#13094006—21no—
299#13094006—21no—
300#13094006—21no—
301#13094006—21no—
302#13094006—21no—
303#13094006D411yescharacteristic
304#13094005—21no—
305#13094004—21no—
306#13094004—21no—
307#13094004C2311yescharacteristic
308#13094004C2311yescharacteristic
309#13094004C2311yescharacteristic
310#13094004C2311yescharacteristic
311#13094003—21no—
312#13094003—21no—
313#13094003—21no—
314#13094003C2311yescharacteristic
315#13094002—21no—
316#13094002D411yescharacteristic
317#13094001—21no—
318#13094001—21no—
319#13094001—21no—
320#13094001—21no—
321#13093999C2311yescharacteristic
322#13093999C2311yescharacteristic
323#13093998—21no—
324#13093998—21no—
325#13093998—21no—
326#13093998—21no—
327#13093998C2311yescharacteristic
328#13093997—21no—
329#13093997—21no—
330#13093997—21no—
331#13093997D411yescharacteristic
332#13093996—21no—
333#13093996—21no—
334#13093996—21no—
335#13093996—21no—
336#13093996—21no—
337#13093996—21no—
338#13093996—21no—
339#13093995—21no—
340#13093995—21no—
341#13093995—21no—
342#13093995C2311yescharacteristic
343#13093995C2311yescharacteristic
344#13093994—21no—
345#13093994—21no—
346#13093993—21no—
347#13093993—21no—
348#13093992—21no—
349#13093992—21no—
350#13093992—21no—
351#13093992—21no—
352C4×Dic94C2311yescharacteristic
353C4×Dic94C2311yescharacteristic
354#13093989C2311yescharacteristic
355#13093989C2311yescharacteristic
356#13093989C2311yescharacteristic
357#13093989C2311yescharacteristic
358C4×D188—21no—
359C4×D188C2311yescharacteristic
360C4×D188C2311yescharacteristic
361D4×Dic47—21no—
362D4×Dic47—21no—
363D4×Dic47—21no—
364D4×Dic47—21no—
365D4×Dic47C2311yescharacteristic
366D4×Dic47C2311yescharacteristic
367#13093986—21no—
368#13093986C2311yescharacteristic
369#13093986C2311yescharacteristic
370C4×C22⋊D47—21no—
371C4×C22⋊D47—21no—
372C4×C22⋊D47—21no—
373C4×C22⋊D47—21no—
374C4×C22⋊D47—21no—
375C4×C22⋊D47C2311yescharacteristic
376C4×C22⋊D47C2311yescharacteristic
377(C22⋊D47)⋊C4—21no—
378(C22⋊D47)⋊C4—21no—
379(C22⋊D47)⋊C4—21no—
380#13093983—21no—
381#13093983—21no—
382#13093982—21no—
383#13093981—21no—
384#13093981C2311yescharacteristic
385#13093980—21no—
386C2×C4⋊Dic47—21no—
387C2×C4⋊Dic47—21no—
388C2×Dic47⋊C4—21no—
389C4⋊C4×D47C2311yescharacteristic
390C4⋊C4×D47C2311yescharacteristic
391C2×C22⋊Dic47—21no—
392C2×(C2×D47)⋊C4—21no—
393C2×(C2×D47)⋊C4—21no—
394C22⋊C4×D47—21no—
395C22⋊C4×D47—21no—
396C42×D47C2311yescharacteristic
397#13093957C2311yescharacteristic
398#13093957C2311yescharacteristic
399#13093955C2311yescharacteristic
400#13093955C2311yescharacteristic
401C4⋊(C47⋊C8)C2311yescharacteristic
402C4⋊(C47⋊C8)C2311yescharacteristic
403C4⋊(C47⋊C8)C2311yescharacteristic
404C4⋊(C47⋊C8)C2311yescharacteristic
405Dic47⋊C8C2311yescharacteristic
406Dic47⋊C8C2311yescharacteristic
407Dic47⋊C8C2311yescharacteristic
408Dic47⋊C8C2311yescharacteristic
409#13093949C2311yescharacteristic
410#13093949C2311yescharacteristic
411#13093949C2311yescharacteristic
412#13093949C2311yescharacteristic
413#13093949C2311yescharacteristic
414#13093949C2311yescharacteristic
415#13093947C2311yescharacteristic
416#13093947C2311yescharacteristic
417#13093947C2311yescharacteristic
418#13093947C2311yescharacteristic
419#13093947C2311yescharacteristic
420#13093947C2311yescharacteristic
421#13093947C2311yescharacteristic
422#13093947C2311yescharacteristic
423#13093946C2311yescharacteristic
424#13093946C2311yescharacteristic
425#13093945C2311yescharacteristic
426#13093945C2311yescharacteristic
427#13093945C2311yescharacteristic
428#13093945C2311yescharacteristic
429#13093944C2311yescharacteristic
430#13093944C2311yescharacteristic
431#13093944C2311yescharacteristic
432#13093944C2311yescharacteristic
433(C2×D47)⋊C8C2311yescharacteristic
434(C2×D47)⋊C8C2311yescharacteristic
435(C2×D47)⋊C8C2311yescharacteristic
436(C2×D47)⋊C8C2311yescharacteristic
437#13093934C2311yescharacteristic
438C8×Dic47C2311yescharacteristic
439C8×Dic47C2311yescharacteristic
440C8×Dic47C2311yescharacteristic
441C22×D4×C47C2311yescharacteristic
442C2×D8×C47C2311yescharacteristic
443C2×D8×C47C2311yescharacteristic
444C2×D8×C47C2311yescharacteristic
445C2×D8×C47C2311yescharacteristic
446#127×C47C2311yescharacteristic
447#125×C47C2311yescharacteristic
448#123×C47—21no—
449#123×C47—21no—
450#121×C47—21no—
451#121×C47—21no—
452#121×C47C2311yescharacteristic
453#121×C47C2311yescharacteristic
454C4×D4×C47—21no—
455C4×D4×C47—21no—
456C4×D4×C47C2311yescharacteristic
457C4×D4×C47C2311yescharacteristic
458C4×D4×C47C2311yescharacteristic
459C4×D4×C47C2311yescharacteristic
460C4×D4×C47C2311yescharacteristic
461C4×D4×C47C2311yescharacteristic
462#117×C47C2311yescharacteristic
463#117×C47C2311yescharacteristic
464C2×C22⋊C4×C47—21no—
465C2×C22⋊C4×C47—21no—
466#107×C47C2311yescharacteristic
467#107×C47C2311yescharacteristic
468#106×C47C2311yescharacteristic
469#106×C47C2311yescharacteristic
470C4⋊C8×C47C2311yescharacteristic
471C4⋊C8×C47C2311yescharacteristic
472#102×C47C2311yescharacteristic
473#102×C47C2311yescharacteristic
474#102×C47C2311yescharacteristic
475#102×C47C2311yescharacteristic
476#102×C47C2311yescharacteristic
477#102×C47C2311yescharacteristic
478#102×C47C2311yescharacteristic
479#102×C47C2311yescharacteristic
480C22⋊C8×C47C2311yescharacteristic
481C22⋊C8×C47C2311yescharacteristic
482#97×C47C2311yescharacteristic
483C4×C8×C47C2311yescharacteristic
484C24×C47—21no—
485C23×D47—21no—
486C23×D47—21no—
487C2×D4×C47—22no—
488C2×D4×C47—21no—
489C2×D4×C47—21no—
490C2×D4×C47—21no—
491C2×D4×C47—21no—
492C2×D4×C47—21no—
493C2×D4×C47—41no—
494C2×D4×C47C2411yescharacteristic
495C2×D4×C47C2411yescharacteristic
496C2×D4×C47C2411yescharacteristic
497C2×D4×C47C2411yescharacteristic
498C22×C4×C47—21no—
499C22×C4×C47—21no—
500C22×C4×C47—21no—
501C22×C4×C47—21no—
502C22×C4×C47—21no—
503C22×C4×C47—21no—
504C22×C4×C47C2411yescharacteristic
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⋊D47—21no—
513C2×C22⋊D47—21no—
514C2×C22⋊D47—21no—
515C2×C22⋊D47—21no—
516C2×C22⋊D47—21no—
517C2×C22⋊D47—21no—
518C2×C22⋊D47—21no—
519C2×C22⋊D47—82no—
520C2×C22⋊D47C2×D411yescharacteristic
521C2×C22⋊D47C2×D411yescharacteristic
522C22×Dic47—21no—
523C22×Dic47—21no—
524C22×Dic47—21no—
525C22×Dic47—21no—
526C22×Dic47—21no—
527C22×Dic47—21no—
528C22×Dic47—21no—
529#10625352—22no—
530#10625352—41no—
531#10625352—41no—
532#10625352—41no—
533#10625352—41no—
534#10625352—41no—
535#10625352—41no—
536#10625352—41no—
537D4×D47—22no—
538D4×D47—41no—
539D4×D47—41no—
540D4×D47—41no—
541#10625350—41no—
542#10625350—41no—
543#10625350—82no—
544C2×D188—21no—
545C2×D188—21no—
546C2×D188C2×D411yescharacteristic
547C2×D188C2411yescharacteristic
548C2×D188C2411yescharacteristic
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—82no—
556C2×C4×D47C2×D411yescharacteristic
557C2×C4×D47C2×D411yescharacteristic
558C2×C4×D47C2411yescharacteristic
559C2×C4×D47C2411yescharacteristic
560C2×Dic94—21no—
561C2×Dic94—21no—
562C2×Dic94—41no—
563C2×Dic94—41no—
564C2×Dic94C2×D411yescharacteristic
565C2×Dic94C2411yescharacteristic
566C2×Dic94C2411yescharacteristic
567C2×Dic94C2411yescharacteristic
568C2×Dic94C2411yescharacteristic
569D8×C47—22no—
570D8×C47—22no—
571D8×C47—41no—
572D8×C47—41no—
573C2×C8×C47C2411yescharacteristic
574C2×C8×C47C2411yescharacteristic
575C2×C8×C47C2411yescharacteristic
576C2×C8×C47C2411yescharacteristic
577C4⋊C4×C47—21no—
578C4⋊C4×C47—21no—
579C4⋊C4×C47C2×D411yescharacteristic
580C4⋊C4×C47C2×D411yescharacteristic
581C4⋊C4×C47C2411yescharacteristic
582C4⋊C4×C47C2411yescharacteristic
583C4⋊C4×C47C2411yescharacteristic
584C4⋊C4×C47C2411yescharacteristic
585C22⋊C4×C47—21no—
586C22⋊C4×C47—21no—
587C22⋊C4×C47—21no—
588C22⋊C4×C47—21no—
589C22⋊C4×C47—21no—
590C22⋊C4×C47—21no—
591C22⋊C4×C47—21no—
592C22⋊C4×C47—21no—
593C22⋊C4×C47—21no—
594C22⋊C4×C47C2×D411yescharacteristic
595C22⋊C4×C47C2×D411yescharacteristic
596C42×C47—21no—
597C42×C47C2411yescharacteristic
598C42×C47C2411yescharacteristic
599C22⋊Dic47—21no—
600C22⋊Dic47—21no—
601C22⋊Dic47—21no—
602C22⋊Dic47—21no—
603C22⋊Dic47—21no—
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⋊Dic47C2×D411yescharacteristic
613C22⋊Dic47C2×D411yescharacteristic
614#10625335—22no—
615#10625335—22no—
616#10625335—22no—
617#10625335—41no—
618#10625335—41no—
619#10625335—41no—
620#10625335—41no—
621#10625335—41no—
622#10625334—22no—
623#10625334—41no—
624#10625334—41no—
625#10625334—41no—
626(C2×D47)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
643(C2×D47)⋊C4C2×D411yescharacteristic
644(C2×D47)⋊C4C2×D411yescharacteristic
645(C2×D47)⋊C4C2×D411yescharacteristic
646(C2×D47)⋊C4C2×D411yescharacteristic
647(C2×D47)⋊C4C2×D411yescharacteristic
648C4⋊Dic47—21no—
649C4⋊Dic47—21no—
650C4⋊Dic47—21no—
651C4⋊Dic47—21no—
652C4⋊Dic47—21no—
653C4⋊Dic47—21no—
654C4⋊Dic47—21no—
655C4⋊Dic47—21no—
656C4⋊Dic47—21no—
657C4⋊Dic47—21no—
658C4⋊Dic47—21no—
659C4⋊Dic47C2×D411yescharacteristic
660C4⋊Dic47C2×D411yescharacteristic
661C4⋊Dic47C2411yescharacteristic
662C4⋊Dic47C2411yescharacteristic
663Dic47⋊C4—21no—
664Dic47⋊C4—21no—
665Dic47⋊C4—21no—
666Dic47⋊C4—21no—
667Dic47⋊C4—21no—
668Dic47⋊C4—21no—
669Dic47⋊C4—21no—
670Dic47⋊C4—21no—
671Dic47⋊C4—21no—
672Dic47⋊C4—21no—
673Dic47⋊C4C2×D411yescharacteristic
674Dic47⋊C4C2×D411yescharacteristic
675Dic47⋊C4C2×D411yescharacteristic
676Dic47⋊C4C2×D411yescharacteristic
677Dic47⋊C4C2×D411yescharacteristic
678Dic47⋊C4C2×D411yescharacteristic
679C4×Dic47—21no—
680C4×Dic47—21no—
681C4×Dic47—21no—
682C4×Dic47—21no—
683C4×Dic47—21no—
684C4×Dic47C2×D411yescharacteristic
685C4×Dic47C2×D411yescharacteristic
686C4×Dic47C2411yescharacteristic
687C4×Dic47C2411yescharacteristic
688#10625329—41no—
689C2×C47⋊C8—41no—
690C2×C47⋊C8C2411yescharacteristic
691C2×C47⋊C8C2411yescharacteristic
692C2×C47⋊C8C2411yescharacteristic
693C2×C47⋊C8C2411yescharacteristic
694Dic188—41no—
695Dic188—41no—
696Dic188—41no—
697D376—41no—
698#10625325—41no—
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×C47—21no—
710C23×C47—42no—
711C23×C47—81no—
712C23×C47—81no—
713C23×C47C22×D411yescharacteristic
714C22×D47—21no—
715C22×D47—21no—
716C22×D47—42no—
717C22×D47—42no—
718C22×D47—81no—
719C22×D47—81no—
720C22×D47—81no—
721C22×D47—81no—
722C22×D47C22×D411yescharacteristic
723C22×D47C22×D411yescharacteristic
724D4×C47—21no—
725D4×C47—21no—
726D4×C47—21no—
727D4×C47—21no—
728D4×C47—21no—
729D4×C47—21no—
730D4×C47—21no—
731D4×C47—42no—
732D4×C47—81no—
733D4×C47—81no—
734D4×C47—81no—
735D4×C47—81no—
736D4×C47H(5,𝔽2)12yes—
737C2×C4×C47—21no—
738C2×C4×C47—21no—
739C2×C4×C47—21no—
740C2×C4×C47—21no—
741C2×C4×C47—21no—
742C2×C4×C47—21no—
743C2×C4×C47—81no—
744C2×C4×C47—81no—
745C2×C4×C47—81no—
746C2×C4×C47—81no—
747C2×C4×C47—81no—
748C2×C4×C47—81no—
749C2×C4×C47C22×D411yescharacteristic
750C2×C4×C47C22×D411yescharacteristic
751C2×C4×C47C22×D411yescharacteristic
752C2×C4×C47C22×D411yescharacteristic
753C2×C4×C47C22×D411yescharacteristic
754C2×C4×C47C2511yescharacteristic
755C22⋊D47—41no—
756C22⋊D47—41no—
757C22⋊D47—42no—
758C22⋊D47—42no—
759C22⋊D47—42no—
760C22⋊D47—81no—
761C22⋊D47—81no—
762C22⋊D47—81no—
763C22⋊D47—81no—
764C22⋊D47—81no—
765C22⋊D47—81no—
766C22⋊D47—81no—
767C22⋊D47—81no—
768C22⋊D47—81no—
769C22⋊D47—81no—
770C22⋊D47—81no—
771C2×Dic47—21no—
772C2×Dic47—21no—
773C2×Dic47—21no—
774C2×Dic47—21no—
775C2×Dic47—21no—
776C2×Dic47—21no—
777C2×Dic47—42no—
778C2×Dic47—81no—
779C2×Dic47—81no—
780C2×Dic47—81no—
781C2×Dic47—81no—
782C2×Dic47—81no—
783C2×Dic47—81no—
784C2×Dic47C22×D411yescharacteristic
785C2×Dic47C22×D411yescharacteristic
786C2×Dic47C22×D411yescharacteristic
787C2×Dic47C22×D411yescharacteristic
788C2×Dic47C22×D411yescharacteristic
789C2×Dic47C22×D411yescharacteristic
790D188—21no—
791D188—21no—
792D188—21no—
793D188—21no—
794D188—41no—
795D188—81no—
796D188—81no—
797C4×D47—21no—
798C4×D47—21no—
799C4×D47—21no—
800C4×D47—21no—
801C4×D47—41no—
802C4×D47—41no—
803C4×D47—42no—
804C4×D47—81no—
805C4×D47—81no—
806C4×D47—81no—
807C4×D47—81no—
808C4×D47—81no—
809Dic94—21no—
810Dic94—21no—
811Dic94—21no—
812Dic94—21no—
813Dic94—21no—
814Dic94—21no—
815Dic94—21no—
816Dic94—21no—
817Dic94—41no—
818Dic94—81no—
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—22no—
832C22×C47—21no—
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×C47—41no—
842C22×C47—41no—
843C22×C47—41no—
844C22×C47—162no—
845C22×C47C23×D411yescharacteristic
846C2×D47—21no—
847C2×D47—21no—
848C2×D47—21no—
849C2×D47—21no—
850C2×D47—21no—
851C2×D47—21no—
852C2×D47—41no—
853C2×D47—41no—
854C2×D47—41no—
855C2×D47—41no—
856C2×D47—41no—
857C2×D47—41no—
858C2×D47—84no—
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×C47C2×H(5,𝔽2)11yescharacteristic
870C4×C47#58511yescharacteristic
871Dic47—21no—
872Dic47—21no—
873Dic47—21no—
874Dic47—21no—
875Dic47—21no—
876Dic47—21no—
877Dic47—41no—
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#3257—471no—
903#3256—471no—
904#3225—471no—
905#3220—471no—
906#3212—471no—
907#3122D4711yescharacteristic, complemented
908#3120—471no—
909#3105—471no—
910#3045—471no—
911#3042—471no—
912#3036—471no—
913#2993—471no—
914C2×C47—42no—
915C2×C47—41no—
916C2×C47—81no—
917C2×C47—81no—
918C2×C47—81no—
919C2×C47#348811yescharacteristic
920C2×C47#358411yescharacteristic
921C2×C47#358511yescharacteristic
922D47—41no—
923D47—41no—
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#542—471no—
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#518C2×D4711yescharacteristic, complemented
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#482C2×D4711yescharacteristic, complemented
993#482C2×D4711yescharacteristic, complemented
994#481—471no—
995#479—471no—
996#479—471no—
997#479—471no—
998#479—471no—
999#478—471no—
1000#478—471no—
1001#478C2×D4711yescharacteristic, complemented
1002#478C2×D4711yescharacteristic, complemented
1003#476—471no—
1004#474—471no—
1005#470—471no—
1006#469—471no—
1007#469—471no—
1008#468—471no—
1009#468—471no—
1010#468—471no—
1011#468—471no—
1012#468—471no—
1013#466—471no—
1014#465—471no—
1015#465—471no—
1016#465—471no—
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#463—471no—
1032#463—471no—
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#460—471no—
1043#459—471no—
1044#459—471no—
1045#459C2×D4711yescharacteristic
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#447C2×D4711yescharacteristic
1064#447C2×D4711yescharacteristic, complemented
1065#446—471no—
1066C8×Q8—471no—
1067#442C2×D4711yescharacteristic, complemented
1068#442C2×D4711yescharacteristic, complemented
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×D8C2×D4711yescharacteristic
1078C4×D8C2×D4711yescharacteristic, complemented
1079#436—471no—
1080#436—471no—
1081#436—471no—
1082#435—471no—
1083#435—471no—
1084C8×D4—471no—
1085#433—471no—
1086#433C2×D4711yescharacteristic, complemented
1087#431—471no—
1088#424—471no—
1089#424—471no—
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—941no—
1108C22×D4C22×D4711yescharacteristic
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—471no—
1129C2×SD16—471no—
1130C2×SD16—1882no—
1131C2×D8—471no—
1132C2×D8—471no—
1133C2×D8—471no—
1134C2×D8—471no—
1135C2×D8—471no—
1136C2×D8C22×D4711yescharacteristic
1137C2×D8C22×D4711yescharacteristic
1138C2×D8C22×D4711yescharacteristic
1139C2×D8C22×D4711yescharacteristic
1140C2×M16—471no—
1141C2×M16—471no—
1142C2×M16—471no—
1143C2×M16—471no—
1144C22×C8—471no—
1145C22×C8—471no—
1146C4⋊Q8—471no—
1147C4⋊Q8—471no—
1148C4⋊Q8—471no—
1149#127—471no—
1150#127—471no—
1151#127—941no—
1152#127C22×D4711yescharacteristic
1153#126—471no—
1154#126—471no—
1155#126—941no—
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—471no—
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#124—941no—
1184#123—21no—
1185#123—21no—
1186#123—471no—
1187#123—471no—
1188#123—941no—
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—471no—
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⋊Q8—941no—
1225#121—21no—
1226#121—21no—
1227#121—471no—
1228#121—471no—
1229#121—471no—
1230#121—471no—
1231#121—471no—
1232#121—471no—
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#121—941no—
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×Q8—471no—
1266C4×D4—21no—
1267C4×D4—21no—
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—941no—
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×D4C22×D4711yescharacteristic
1291C4×D4C22×D4711yescharacteristic
1292C4×D4C22×D4711yescharacteristic
1293C4×D4C22×D4711yescharacteristic
1294C4×D4C22×D4711yescharacteristic
1295C4×D4C22×D4711yescharacteristic
1296#117—471no—
1297#117—941no—
1298#117—941no—
1299#117—941no—
1300#117—941no—
1301#117—941no—
1302#117C22×D4711yescharacteristic
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—21no—
1310C2×C22⋊C4—21no—
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⋊C8—471no—
1332C4⋊C8—471no—
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#103—471no—
1348#103—471no—
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#102C22×D4711yescharacteristic
1360#102C22×D4711yescharacteristic
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⋊C8C22×D4711yescharacteristic
1372C22⋊C8C22×D4711yescharacteristic
1373#97—471no—
1374#97C22×D4711yescharacteristic
1375C4×C8—471no—
1376C4×C8—471no—
1377C4×C8—471no—
1378C4×C8C22×D4711yescharacteristic
1379C24—21no—
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—471no—
1394C2×Q8—471no—
1395C2×Q8—471no—
1396C2×Q8—471no—
1397C2×Q8—471no—
1398C2×Q8—941no—
1399C2×Q8—941no—
1400C2×Q8—1881no—
1401C2×Q8—1881no—
1402C2×D4—22no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—41no—
1409C2×D4—471no—
1410C2×D4—471no—
1411C2×D4—471no—
1412C2×D4—471no—
1413C2×D4—471no—
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—942no—
1423C2×D4—941no—
1424C2×D4—941no—
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×D4C23×D4711yescharacteristic
1436C2×D4C23×D4711yescharacteristic
1437C2×D4C23×D4711yescharacteristic
1438C2×D4C23×D4711yescharacteristic
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—471no—
1446C22×C4—471no—
1447C22×C4—471no—
1448C22×C4—471no—
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—942no—
1468SD16—942no—
1469SD16—942no—
1470SD16—1881no—
1471SD16—1881no—
1472SD16—1881no—
1473SD16—1881no—
1474SD16—1881no—
1475SD16—1881no—
1476SD16—1881no—
1477SD16—1881no—
1478SD16—1881no—
1479D8—22no—
1480D8—22no—
1481D8—41no—
1482D8—41no—
1483D8—942no—
1484D8—1881no—
1485D8—1881no—
1486D8—1881no—
1487D8—1881no—
1488M16—1881no—
1489M16—1881no—
1490M16—1881no—
1491M16—1881no—
1492C2×C8—471no—
1493C2×C8—471no—
1494C2×C8—471no—
1495C2×C8—471no—
1496C2×C8—1881no—
1497C2×C8—1881no—
1498C2×C8C23×D4711yescharacteristic
1499C2×C8C23×D4711yescharacteristic
1500C2×C8C23×D4711yescharacteristic
1501C2×C8C23×D4711yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—471no—
1505C4⋊C4—471no—
1506C4⋊C4—471no—
1507C4⋊C4—471no—
1508C4⋊C4—471no—
1509C4⋊C4—471no—
1510C4⋊C4—471no—
1511C4⋊C4—471no—
1512C4⋊C4—471no—
1513C4⋊C4—471no—
1514C4⋊C4—941no—
1515C4⋊C4—941no—
1516C4⋊C4—941no—
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—21no—
1605C23—42no—
1606C23—81no—
1607C23—81no—
1608C23—471no—
1609C23—471no—
1610C23—941no—
1611C23—941no—
1612C23—3761no—
1613C23—3761no—
1614C23—3761no—
1615C23—3761no—
1616C23—1882no—
1617C23—1882no—
1618C23C2×D4×D4711yescharacteristic
1619Q8—941no—
1620Q8—941no—
1621Q8—941no—
1622Q8—941no—
1623Q8—941no—
1624Q8—941no—
1625Q8—941no—
1626Q8—941no—
1627Q8—3761no—
1628Q8—3761no—
1629Q8—1881no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—42no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—81no—
1642D4—941no—
1643D4—941no—
1644D4—941no—
1645D4—941no—
1646D4—3761no—
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—1881no—
1661D4—1881no—
1662D4—1882no—
1663D4—1882no—
1664D4—1882no—
1665D4#1309407012yes—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—81no—
1673C2×C4—81no—
1674C2×C4—81no—
1675C2×C4—81no—
1676C2×C4—81no—
1677C2×C4—81no—
1678C2×C4—471no—
1679C2×C4—471no—
1680C2×C4—471no—
1681C2×C4—471no—
1682C2×C4—471no—
1683C2×C4—471no—
1684C2×C4—941no—
1685C2×C4—941no—
1686C2×C4—941no—
1687C2×C4—941no—
1688C2×C4—941no—
1689C2×C4—941no—
1690C2×C4—941no—
1691C2×C4—941no—
1692C2×C4—941no—
1693C2×C4—941no—
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—22no—
1725C22—21no—
1726C22—21no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—162no—
1739C22—941no—
1740C22—941no—
1741C22—941no—
1742C22—941no—
1743C22—941no—
1744C22—941no—
1745C22—3764no—
1746C22—1881no—
1747C22—1881no—
1748C22—1881no—
1749C22—1881no—
1750C22—1881no—
1751C22—1881no—
1752C22—7522no—
1753C22C22×D4×D4711yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—941no—
1764C4—941no—
1765C4—941no—
1766C4—941no—
1767C4—941no—
1768C4—941no—
1769C4—1881no—
1770C4—1881no—
1771C4—1881no—
1772C4—1881no—
1773C4—1881no—
1774C4—1881no—
1775C4C2×#1309407011yescharacteristic
1776C4#1568995911yescharacteristic
1777C2—41no—
1778C2—42no—
1779C2—81no—
1780C2—81no—
1781C2—81no—
1782C2—3761no—
1783C2—3761no—
1784C2—1881no—
1785C2—1881no—
1786C2#2025704911yescharacteristic
1787C2#2025815611yescharacteristic
1788C2#2025816311yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3122C2
socleC22×C47C23×D4
hypercenter#3122D47
hypocenterC47#62027
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ #117 ◁ #3122

Complements

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

NH ≅ G/Ntype
1. #20257978C2semidirect
2. #20257316C2semidirect
3. #20256459C2semidirect
4. #20256400C2semidirect
5. #20256146C2semidirect
6. #20256035C2semidirect
7. #20255695C2semidirect
8. #20255654C2semidirect
9. #20255639C2semidirect
10. #20255512C2semidirect
11. #20255354C2semidirect
12. #20255241C2semidirect
13. #20255099C2semidirect
14. #20255006C2semidirect
15. #20254999C2semidirect
16. #20254998C2semidirect
17. #20254915C2semidirect
18. #20254887C2semidirect
19. #20254836C2semidirect
20. #20254793C2semidirect
21. #20254788C2semidirect
22. #20254499C2semidirect
23. #20254437C2semidirect
24. #20254362C2semidirect
25. #20253607C2semidirect
26. #20253440C2semidirect
27. #20252922C2semidirect
28. #20252900C2semidirect
29. #20252847C2semidirect
30. #20252531C2semidirect
31. C47×#3122C2semidirect
35. C2×#13094048C22semidirect
37. C22×#10625335C22semidirect
40. #15689856C22semidirect
41. #15689856C22semidirect
42. #15689843C22semidirect
43. #15689830C22semidirect
47. #15689812C22semidirect
53. #15689779C22semidirect
55. #15689777C22semidirect
56. #15689770C22semidirect
58. #15689768C22semidirect
61. D4×C22⋊D47C22semidirect
62. #15689744C22semidirect
63. #15689736C22semidirect
71. #15689699C22semidirect
72. #15689686C22semidirect
73. #15689671C22semidirect
74. #15689658C22semidirect
75. #15689655C22semidirect
80. C4×D4×D47C22semidirect
81. #15689517C22semidirect
83. #15689507C22semidirect
84. #15689506C22semidirect
85. #15689506C22semidirect
87. #15689486C22semidirect
88. #15689483C22semidirect
89. #15689476C22semidirect
90. #15689476C22semidirect
91. #15689476C22semidirect
92. #15689474C22semidirect
93. #15689460C22semidirect
94. #15689460C22semidirect
95. #15689455C22semidirect
96. #15689443C22semidirect
97. #15689433C22semidirect
98. #15689429C22semidirect
99. #15689429C22semidirect
100. #15689427C22semidirect
101. #15689422C22semidirect
102. #15689420C22semidirect
103. #15689413C22semidirect
104. #15689403C22semidirect
105. #15689382C22semidirect
107. #15689374C22semidirect
108. #15689370C22semidirect
109. #15689370C22semidirect
110. #15689368C22semidirect
111. #15689368C22semidirect
112. #15689367C22semidirect
114. #15689353C22semidirect
115. #15689351C22semidirect
116. #15689350C22semidirect
117. #15689346C22semidirect
118. #15689344C22semidirect
119. #15689344C22semidirect
120. #15689339C22semidirect
123. #15689338C22semidirect
124. #15689338C22semidirect
125. #15689338C22semidirect
126. #15689338C22semidirect
127. #15689337C22semidirect
128. #15689337C22semidirect
129. #15689337C22semidirect
132. #15689336C22semidirect
133. #15689334C22semidirect
134. #15689329C22semidirect
135. #15689328C22semidirect
136. #15689328C22semidirect
137. #15689328C22semidirect
138. #15689328C22semidirect
139. #15689322C22semidirect
140. #15689322C22semidirect
141. #15689322C22semidirect
142. #15689320C22semidirect
144. #15689315C22semidirect
145. #15689287C22semidirect
148. #15689286C22semidirect
149. #15689286C22semidirect
150. #15689281C22semidirect
151. #15689275C22semidirect
153. #15689269C22semidirect
155. #15689265C22semidirect
156. #15689265C22semidirect
157. #15689264C22semidirect
159. #15689258C22semidirect
160. #15689255C22semidirect
161. #15689251C22semidirect
162. C8×Dic94C22semidirect
163. #15689229C22semidirect
164. #15689220C22semidirect
165. #15689217C22semidirect
166. #15689214C22semidirect
167. #15689214C22semidirect
168. #15689210C22semidirect
169. #15689205C22semidirect
171. #15689202C22semidirect
172. #15689198C22semidirect
173. #15689198C22semidirect
174. #15689196C22semidirect
175. #15689191C22semidirect
176. (C22⋊D47)⋊C8C22semidirect
177. #15689183C22semidirect
178. #15689175C22semidirect
179. #15689150C22semidirect
180. #15689148C22semidirect
181. #15689145C22semidirect
182. #15689131C22semidirect
183. #15689121C22semidirect
184. #15689121C22semidirect
185. #15689121C22semidirect
186. #15689117C22semidirect
187. #102×D47C22semidirect
188. C47×#540C22semidirect
189. C47×#518C22semidirect
190. C47×#482C22semidirect
191. C47×#482C22semidirect
192. C47×#478C22semidirect
193. C47×#478C22semidirect
195. C47×#459C22semidirect
197. C47×#447C22semidirect
198. C47×#442C22semidirect
199. C47×#442C22semidirect
201. C4×D8×C47C22semidirect
202. C47×#433C22semidirect
907. #3122D47semidirect
960. #540C2×D47semidirect
975. #518C2×D47semidirect
992. #482C2×D47semidirect
993. #482C2×D47semidirect
1001. #478C2×D47semidirect
1002. #478C2×D47semidirect
1046. #459C2×D47semidirect
1064. #447C2×D47semidirect
1067. #442C2×D47semidirect
1068. #442C2×D47semidirect
1078. C4×D8C2×D47semidirect
1086. #433C2×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
#202573162
#202564592
#202564002
#202561462
#202560352
#202556952
#202556542
#202556392
#202555122
#202553542
#202552412
#202550992
#202550062
#202549992
#202549982
#202549152
#202548872
#202548362
#202547932
#202547882
#202544992
#202544372
#202543622
#202536072
#202534402
#202529222
#202529002
#202528472
#202525312
C47×#31222
#6202747