Finite Group Databasebeta

← #27107133

Subgroups — #27107133

Order 12032.

1722 conjugacy classes of subgroups.

The subgroup lattice has 1648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257855C211yesmaximal, characteristic, complemented
2#20257187C211yesmaximal, characteristic, complemented
3#20256346C211yesmaximal, characteristic, complemented
4#20256344C211yesmaximal, characteristic, complemented
5#20256335C211yesmaximal, characteristic, complemented
6#20256333C211yesmaximal, characteristic, complemented
7#20256290C211yesmaximal, characteristic, complemented
8#20256288C211yesmaximal, characteristic, complemented
9#20256288C211yesmaximal, characteristic, complemented
10#20256282C211yesmaximal, characteristic, complemented
11#20256185C211yesmaximal, characteristic, complemented
12#20256184C211yesmaximal, characteristic, complemented
13#20256136C211yesmaximal, characteristic, complemented
14#20256136C211yesmaximal, characteristic, complemented
15#20256134C211yesmaximal, characteristic, complemented
16#20256134C211yesmaximal, characteristic, complemented
17#20256091C211yesmaximal, characteristic, complemented
18#20254685C211yesmaximal, characteristic, complemented
19#20254683C211yesmaximal, characteristic, complemented
20#20254636C211yesmaximal, characteristic, complemented
21#20254634C211yesmaximal, characteristic, complemented
22#20254627C211yesmaximal, characteristic, complemented
23#20254581C211yesmaximal, characteristic, complemented
24#20253629C211yesmaximal, characteristic, complemented
25#20253629C211yesmaximal, characteristic, complemented
26#20253570C211yesmaximal, characteristic, complemented
27#20253568C211yesmaximal, characteristic, complemented
28#20253524C211yesmaximal, characteristic, complemented
29#20253478C211yesmaximal, characteristic, complemented
30#20252491C211yesmaximal, characteristic, complemented
31C47×#3366C211yesmaximal, characteristic, complemented
32#15689868—21no—
33#15689868—21no—
34#15689859C2211yescharacteristic, complemented
35#15689859C2211yescharacteristic, complemented
36#15689859C2211yescharacteristic, complemented
37#15689851C2211yescharacteristic, complemented
38#15689833C2211yescharacteristic
39#15689832C2211yescharacteristic
40#15689832C2211yescharacteristic
41#15689832C2211yescharacteristic, complemented
42#15689832C2211yescharacteristic, complemented
43#15689829C2211yescharacteristic
44#15689829C2211yescharacteristic
45#15689828—21no—
46#15689827—21no—
47#15689827—21no—
48D4×Dic94C2211yescharacteristic
49D4×Dic94C2211yescharacteristic, complemented
50#15689788C2211yescharacteristic
51#15689786—21no—
52#15689779—21no—
53#15689772—21no—
54#15689753C2211yescharacteristic
55#15689750C2211yescharacteristic
56#15689748—21no—
57#15689748—21no—
58#15689740—21no—
59#15689738C2211yescharacteristic
60#15689738C2211yescharacteristic
61#15689727C2211yescharacteristic
62#15689727C2211yescharacteristic
63#15689718—21no—
64#15689718—21no—
65#15689694—21no—
66#15689679C2211yescharacteristic
67#15689677C2211yescharacteristic
68#15689671C2211yescharacteristic
69#15689655C2211yescharacteristic
70C2×#13094002—21no—
71C22⋊Q8×D47—21no—
72#15689595C2211yescharacteristic
73#15689595C2211yescharacteristic
74C4×D4×D47C2211yescharacteristic
75#15689533C2211yescharacteristic, complemented
76#15689532C2211yescharacteristic, complemented
77#15689532C2211yescharacteristic, complemented
78#15689531C2211yescharacteristic, complemented
79#15689531C2211yescharacteristic, complemented
80#15689530C2211yescharacteristic, complemented
81#15689530C2211yescharacteristic, complemented
82#15689529C2211yescharacteristic, complemented
83#15689525C2211yescharacteristic, complemented
84#15689522C2211yescharacteristic, complemented
85#15689520C2211yescharacteristic, complemented
86#15689520C2211yescharacteristic, complemented
87#15689487C2211yescharacteristic, complemented
88#15689487C2211yescharacteristic, complemented
89#15689481C2211yescharacteristic, complemented
90#15689481C2211yescharacteristic, complemented
91#15689481C2211yescharacteristic, complemented
92#15689481C2211yescharacteristic, complemented
93#15689476C2211yescharacteristic, complemented
94#15689476C2211yescharacteristic, complemented
95#15689469C2211yescharacteristic, complemented
96#15689467C2211yescharacteristic
97#15689466C2211yescharacteristic
98#15689455C2211yescharacteristic
99#15689446C2211yescharacteristic
100#15689446C2211yescharacteristic
101#15689446C2211yescharacteristic
102#15689445C2211yescharacteristic
103#15689445C2211yescharacteristic
104#15689445C2211yescharacteristic
105#15689440C2211yescharacteristic
106#15689440C2211yescharacteristic
107#15689435C2211yescharacteristic
108#15689431C2211yescharacteristic, complemented
109#15689431C2211yescharacteristic, complemented
110#15689427C2211yescharacteristic, complemented
111#15689427C2211yescharacteristic, complemented
112#15689425C2211yescharacteristic, complemented
113#15689425C2211yescharacteristic, complemented
114#15689424C2211yescharacteristic
115#15689424C2211yescharacteristic
116#15689423C2211yescharacteristic
117#15689423C2211yescharacteristic
118#15689423C2211yescharacteristic, complemented
119#15689423C2211yescharacteristic, complemented
120#15689422C2211yescharacteristic
121#15689421C2211yescharacteristic
122#15689421C2211yescharacteristic, complemented
123#15689421C2211yescharacteristic, complemented
124#15689414C2211yescharacteristic
125#15689413C2211yescharacteristic
126#15689413C2211yescharacteristic, complemented
127#15689412C2211yescharacteristic
128#15689411C2211yescharacteristic
129#15689411C2211yescharacteristic, complemented
130#15689411C2211yescharacteristic, complemented
131#15689411C2211yescharacteristic, complemented
132#15689411C2211yescharacteristic, complemented
133#15689409C2211yescharacteristic, complemented
134#15689405C2211yescharacteristic, complemented
135#15689402C2211yescharacteristic
136#15689401C2211yescharacteristic
137#15689401C2211yescharacteristic, complemented
138#15689401C2211yescharacteristic, complemented
139#15689401C2211yescharacteristic, complemented
140#15689401C2211yescharacteristic, complemented
141#15689337C2211yescharacteristic
142#15689337C2211yescharacteristic
143#15689337C2211yescharacteristic
144#15689336C2211yescharacteristic
145#15689336C2211yescharacteristic
146#15689336C2211yescharacteristic
147#15689315C2211yescharacteristic
148#15689315C2211yescharacteristic
149#15689315C2211yescharacteristic
150#15689275C2211yescharacteristic
151#15689255C2211yescharacteristic
152#15689255C2211yescharacteristic
153#15689255C2211yescharacteristic
154#15689254C2211yescharacteristic, complemented
155#15689253C2211yescharacteristic, complemented
156#15689252C2211yescharacteristic, complemented
157#15689252C2211yescharacteristic, complemented
158#15689251C2211yescharacteristic, complemented
159#15689251C2211yescharacteristic, complemented
160#15689250C2211yescharacteristic, complemented
161#15689235C2211yescharacteristic
162#15689235C2211yescharacteristic
163#15689235C2211yescharacteristic
164#15689235C2211yescharacteristic
165#15689233C2211yescharacteristic
166#15689233C2211yescharacteristic
167#15689232C2211yescharacteristic
168#15689232C2211yescharacteristic
169#15689232C2211yescharacteristic
170#15689232C2211yescharacteristic
171#15689225C2211yescharacteristic
172#15689225C2211yescharacteristic
173#15689223C2211yescharacteristic
174#15689223C2211yescharacteristic
175C4×#10625325C2211yescharacteristic
176C4×#10625335C2211yescharacteristic
177D8×Dic47C2211yescharacteristic
178D8×Dic47C2211yescharacteristic
179C4×#10625334C2211yescharacteristic
180#15689203C2211yescharacteristic
181#15689203C2211yescharacteristic
182#15689185C2211yescharacteristic
183#15689183C2211yescharacteristic
184#15689183C2211yescharacteristic
185#15689182C2211yescharacteristic
186#15689179C2211yescharacteristic
187#15689178C2211yescharacteristic
188C47×#554C2211yescharacteristic
189C47×#550C2211yescharacteristic, complemented
190C47×#490C2211yescharacteristic, complemented
191C47×#490C2211yescharacteristic, complemented
192C47×#486C2211yescharacteristic, complemented
193C47×#478C2211yescharacteristic, complemented
194C47×#478C2211yescharacteristic, complemented
195C47×#476C2211yescharacteristic, complemented
196C47×#459C2211yescharacteristic
197C47×#459C2211yescharacteristic
198C47×#459C2211yescharacteristic
199C47×#446C2211yescharacteristic, complemented
200C47×#442C2211yescharacteristic
201C47×#442C2211yescharacteristic
202C4×D8×C47C2211yescharacteristic
203C2×#10625352—21no—
204C22×Dic94—21no—
205C22×Dic94—21no—
206C2×Q8×D47—21no—
207C2×D4×D47C2311yescharacteristic
208C22×C4×D47—21no—
209C2×#10625325C2311yescharacteristic
210C2×#10625335C2311yescharacteristic
211C2×#10625334C2311yescharacteristic
212C2×#10625334C2311yescharacteristic
213C2×#10625334C2311yescharacteristic
214#13094024C2311yescharacteristic
215#13094024C2311yescharacteristic
216#13094023—21no—
217#13094023D411yescharacteristic
218#13094023C2311yescharacteristic
219#13094023C2311yescharacteristic
220#13094023C2311yescharacteristic
221#13094023C2311yescharacteristic
222#13094023C2311yescharacteristic
223#13094023C2311yescharacteristic
224#13094022—21no—
225#13094022—21no—
226#13094022D411yescharacteristic
227#13094017—21no—
228#13094017—21no—
229#13094017—21no—
230#13094016C2311yescharacteristic
231#13094016C2311yescharacteristic
232#13094016C2311yescharacteristic
233#13094016C2311yescharacteristic
234#13094015C2311yescharacteristic
235#13094015C2311yescharacteristic
236#13094015C2311yescharacteristic
237#13094014—21no—
238#13094014—21no—
239#13094014—21no—
240#13094014—21no—
241#13094014D411yescharacteristic
242#13094014D411yescharacteristic
243#13094011—21no—
244#13094011—21no—
245#13094011—21no—
246#13094011—21no—
247#13094011C2311yescharacteristic
248#13094011C2311yescharacteristic
249#13094011C2311yescharacteristic
250#13094010—21no—
251#13094010—21no—
252#13094007—21no—
253#13094007—21no—
254#13094006—21no—
255#13094005—21no—
256#13094005—21no—
257#13094005—21no—
258#13094005—21no—
259#13094005—21no—
260#13094005—21no—
261#13094005—21no—
262#13094005—21no—
263#13094005—21no—
264#13094005—21no—
265#13094004—21no—
266#13094004—21no—
267#13094004—21no—
268#13094004D411yescharacteristic
269#13094004C2311yescharacteristic
270#13094003—21no—
271#13094003—21no—
272#13094003—21no—
273#13094003—21no—
274#13094003—21no—
275#13094003—21no—
276#13094003—21no—
277#13094003—21no—
278#13094002—21no—
279#13094002—21no—
280#13094002—21no—
281#13094002—21no—
282#13094002—21no—
283#13094002—21no—
284#13094002—21no—
285#13094002—21no—
286#13094002—21no—
287#13094002—21no—
288#13094002—21no—
289#13094002—21no—
290#13094002D411yescharacteristic
291#13094002D411yescharacteristic
292#13094001—21no—
293#13094001—21no—
294#13094001—21no—
295#13094001—21no—
296#13094001—21no—
297#13094001—21no—
298#13094001—21no—
299#13094001—21no—
300#13094001—21no—
301#13094001—21no—
302#13094001—21no—
303#13094001—21no—
304#13094000—21no—
305#13094000—21no—
306#13094000—21no—
307#13094000D411yescharacteristic
308#13093996—21no—
309#13093996—21no—
310#13093996—21no—
311#13093996—21no—
312#13093995—21no—
313#13093995C2311yescharacteristic
314#13093995C2311yescharacteristic
315#13093995C2311yescharacteristic
316C4×Dic94C2311yescharacteristic
317C4×Dic94C2311yescharacteristic
318C4×Dic94C2311yescharacteristic
319C4×Dic94C2311yescharacteristic
320C4×Dic94C2311yescharacteristic
321C4×Dic94C2311yescharacteristic
322#13093989—21no—
323#13093989—21no—
324#13093989—21no—
325C4×D188C2311yescharacteristic
326C4×D188C2311yescharacteristic
327C4×D188C2311yescharacteristic
328D4×Dic47—21no—
329D4×Dic47—21no—
330D4×Dic47—21no—
331D4×Dic47—21no—
332D4×Dic47C2311yescharacteristic
333D4×Dic47C2311yescharacteristic
334D4×Dic47C2311yescharacteristic
335D4×Dic47C2311yescharacteristic
336D4×Dic47C2311yescharacteristic
337D4×Dic47C2311yescharacteristic
338D4×Dic47C2311yescharacteristic
339D4×Dic47C2311yescharacteristic
340D4×Dic47C2311yescharacteristic
341#13093986C2311yescharacteristic
342#13093986C2311yescharacteristic
343#13093986C2311yescharacteristic
344C4×C22⋊D47—21no—
345C4×C22⋊D47—21no—
346C4×C22⋊D47—21no—
347C4×C22⋊D47—21no—
348(C22⋊D47)⋊C4—21no—
349(C22⋊D47)⋊C4—21no—
350(C22⋊D47)⋊C4—21no—
351#13093983—21no—
352#13093982C2311yescharacteristic
353#13093982C2311yescharacteristic
354#13093981C2311yescharacteristic
355#13093981C2311yescharacteristic
356C2×Dic47⋊C4—21no—
357C2×Dic47⋊C4—21no—
358C2×Dic47⋊C4—21no—
359C2×Dic47⋊C4—21no—
360C4⋊C4×D47—21no—
361C4⋊C4×D47—21no—
362C4⋊C4×D47—21no—
363C4⋊C4×D47C2311yescharacteristic
364C2×(C2×D47)⋊C4—21no—
365C2×(C2×D47)⋊C4—21no—
366C22⋊C4×D47—21no—
367C22⋊C4×D47—21no—
368C22⋊C4×D47—21no—
369C42×D47C2311yescharacteristic
370#13093958C2311yescharacteristic
371#13093958C2311yescharacteristic
372#13093958C2311yescharacteristic
373#13093958C2311yescharacteristic
374#13093957C2311yescharacteristic
375#13093957C2311yescharacteristic
376#13093957C2311yescharacteristic
377#13093957C2311yescharacteristic
378#13093957C2311yescharacteristic
379#13093956C2311yescharacteristic
380#13093956C2311yescharacteristic
381#13093956C2311yescharacteristic
382#13093956C2311yescharacteristic
383#13093956C2311yescharacteristic
384#13093955C2311yescharacteristic
385#13093955C2311yescharacteristic
386#13093955C2311yescharacteristic
387#13093955C2311yescharacteristic
388#13093955C2311yescharacteristic
389#13093955C2311yescharacteristic
390#13093955C2311yescharacteristic
391C4⋊(C47⋊C8)C2311yescharacteristic
392C4⋊(C47⋊C8)C2311yescharacteristic
393C4⋊(C47⋊C8)C2311yescharacteristic
394Dic47⋊C8C2311yescharacteristic
395Dic47⋊C8C2311yescharacteristic
396Dic47⋊C8C2311yescharacteristic
397Dic47⋊C8C2311yescharacteristic
398Dic47⋊C8C2311yescharacteristic
399Dic47⋊C8C2311yescharacteristic
400#13093949C2311yescharacteristic
401#13093949C2311yescharacteristic
402#13093949C2311yescharacteristic
403#13093947C2311yescharacteristic
404#13093947C2311yescharacteristic
405#13093947C2311yescharacteristic
406#13093946C2311yescharacteristic
407#13093946C2311yescharacteristic
408#13093946C2311yescharacteristic
409#13093945C2311yescharacteristic
410#13093945C2311yescharacteristic
411#13093945C2311yescharacteristic
412#13093945C2311yescharacteristic
413#13093945C2311yescharacteristic
414#13093945C2311yescharacteristic
415#13093945C2311yescharacteristic
416#13093945C2311yescharacteristic
417#13093945C2311yescharacteristic
418#13093945C2311yescharacteristic
419#13093945C2311yescharacteristic
420#13093945C2311yescharacteristic
421#13093944C2311yescharacteristic
422(C2×D47)⋊C8C2311yescharacteristic
423(C2×D47)⋊C8C2311yescharacteristic
424(C2×D47)⋊C8C2311yescharacteristic
425(C2×D47)⋊C8C2311yescharacteristic
426#13093935C2311yescharacteristic
427#13093935C2311yescharacteristic
428#13093934C2311yescharacteristic
429#13093934C2311yescharacteristic
430#13093934C2311yescharacteristic
431#13093934C2311yescharacteristic
432C4×C47⋊C8C2311yescharacteristic
433C8×Dic47C2311yescharacteristic
434C8×Dic47C2311yescharacteristic
435C2×#41×C47—21no—
436C2×D8×C47C2311yescharacteristic
437C2×D8×C47C2311yescharacteristic
438C2×D8×C47C2311yescharacteristic
439C4⋊Q8×C47C2311yescharacteristic
440#127×C47C2311yescharacteristic
441#127×C47C2311yescharacteristic
442#127×C47C2311yescharacteristic
443#125×C47C2311yescharacteristic
444#125×C47C2311yescharacteristic
445C22⋊Q8×C47—21no—
446C22⋊Q8×C47—21no—
447C22⋊Q8×C47—21no—
448#121×C47—21no—
449#121×C47—21no—
450#121×C47—21no—
451C4×Q8×C47C2311yescharacteristic
452C4×D4×C47C2311yescharacteristic
453C4×D4×C47C2311yescharacteristic
454C4×D4×C47C2311yescharacteristic
455C4×D4×C47C2311yescharacteristic
456C4×D4×C47C2311yescharacteristic
457C4×D4×C47C2311yescharacteristic
458C2×C4⋊C4×C47—21no—
459#107×C47C2311yescharacteristic
460#106×C47C2311yescharacteristic
461#106×C47C2311yescharacteristic
462C4⋊C8×C47C2311yescharacteristic
463C4⋊C8×C47C2311yescharacteristic
464C4⋊C8×C47C2311yescharacteristic
465#102×C47C2311yescharacteristic
466#102×C47C2311yescharacteristic
467#102×C47C2311yescharacteristic
468#102×C47C2311yescharacteristic
469#102×C47C2311yescharacteristic
470#102×C47C2311yescharacteristic
471#102×C47C2311yescharacteristic
472#102×C47C2311yescharacteristic
473#102×C47C2311yescharacteristic
474#102×C47C2311yescharacteristic
475#97×C47C2311yescharacteristic
476#97×C47C2311yescharacteristic
477C4×C8×C47C2311yescharacteristic
478C23×D47—21no—
479#41×C47—82no—
480C2×Q8×C47—21no—
481C2×Q8×C47C2×D411yescharacteristic
482C2×D4×C47—21no—
483C2×D4×C47—21no—
484C2×D4×C47—21no—
485C2×D4×C47—21no—
486C2×D4×C47—21no—
487C2×D4×C47—21no—
488C2×D4×C47C2411yescharacteristic
489C2×D4×C47C2411yescharacteristic
490C2×D4×C47C2411yescharacteristic
491C2×D4×C47C2411yescharacteristic
492C22×C4×C47—21no—
493C22×C4×C47—21no—
494C22×C4×C47—21no—
495C22×C4×C47—21no—
496C22×C4×C47—21no—
497C22×C4×C47—21no—
498C2×C22⋊D47—21no—
499C2×C22⋊D47—21no—
500C2×C22⋊D47—21no—
501C2×C22⋊D47—21no—
502C22×Dic47—21no—
503C22×Dic47—21no—
504C22×Dic47—21no—
505C22×Dic47—21no—
506C22×Dic47—21no—
507C22×Dic47—21no—
508C22×Dic47—21no—
509C22×Dic47—21no—
510C22×Dic47—21no—
511Q8×D47—82no—
512#10625352—82no—
513D4×D47—22no—
514D4×D47—22no—
515C2×D188C2411yescharacteristic
516C2×C4×D47—21no—
517C2×C4×D47—21no—
518C2×C4×D47—21no—
519C2×C4×D47—21no—
520C2×C4×D47—21no—
521C2×C4×D47—21no—
522C2×C4×D47—21no—
523C2×C4×D47—82no—
524C2×C4×D47C2×D411yescharacteristic
525C2×C4×D47C2×D411yescharacteristic
526C2×C4×D47C2411yescharacteristic
527C2×Dic94—21no—
528C2×Dic94—21no—
529C2×Dic94—21no—
530C2×Dic94—21no—
531C2×Dic94—21no—
532C2×Dic94—21no—
533C2×Dic94—21no—
534C2×Dic94—21no—
535C2×Dic94—82no—
536C2×Dic94—82no—
537C2×Dic94C2×D411yescharacteristic
538C2×Dic94C2×D411yescharacteristic
539C2×Dic94C2×D411yescharacteristic
540C2×Dic94C2411yescharacteristic
541D8×C47—22no—
542D8×C47—22no—
543D8×C47—22no—
544C2×C8×C47C2411yescharacteristic
545C2×C8×C47C2411yescharacteristic
546C2×C8×C47C2411yescharacteristic
547C2×C8×C47C2411yescharacteristic
548C4⋊C4×C47—21no—
549C4⋊C4×C47—21no—
550C4⋊C4×C47—21no—
551C4⋊C4×C47—21no—
552C4⋊C4×C47—21no—
553C4⋊C4×C47C2×D411yescharacteristic
554C4⋊C4×C47C2×D411yescharacteristic
555C4⋊C4×C47C2×D411yescharacteristic
556C4⋊C4×C47C2411yescharacteristic
557C4⋊C4×C47C2411yescharacteristic
558C4⋊C4×C47C2411yescharacteristic
559C4⋊C4×C47C2411yescharacteristic
560C22⋊C4×C47—21no—
561C22⋊C4×C47—21no—
562C22⋊C4×C47—21no—
563C22⋊C4×C47—21no—
564C22⋊C4×C47—21no—
565C22⋊C4×C47—21no—
566C42×C47C2411yescharacteristic
567C42×C47C2411yescharacteristic
568C42×C47C2411yescharacteristic
569C22⋊Dic47—21no—
570C22⋊Dic47—21no—
571C22⋊Dic47—21no—
572C22⋊Dic47—21no—
573C22⋊Dic47—21no—
574C22⋊Dic47—21no—
575C22⋊Dic47—21no—
576C22⋊Dic47—21no—
577C22⋊Dic47—21no—
578C22⋊Dic47—21no—
579C22⋊Dic47—21no—
580C22⋊Dic47—21no—
581C22⋊Dic47—21no—
582C22⋊Dic47—21no—
583C22⋊Dic47—21no—
584C22⋊Dic47—21no—
585C22⋊Dic47—21no—
586C22⋊Dic47—21no—
587#10625335—22no—
588#10625334—22no—
589#10625334—22no—
590#10625334—22no—
591(C2×D47)⋊C4—21no—
592(C2×D47)⋊C4—21no—
593(C2×D47)⋊C4—21no—
594(C2×D47)⋊C4—21no—
595(C2×D47)⋊C4—21no—
596(C2×D47)⋊C4—21no—
597(C2×D47)⋊C4—21no—
598(C2×D47)⋊C4—21no—
599(C2×D47)⋊C4—21no—
600(C2×D47)⋊C4C2×D411yescharacteristic
601(C2×D47)⋊C4C2×D411yescharacteristic
602(C2×D47)⋊C4C2×D411yescharacteristic
603(C2×D47)⋊C4C2×D411yescharacteristic
604C4⋊Dic47—21no—
605C4⋊Dic47—21no—
606C4⋊Dic47—21no—
607C4⋊Dic47—21no—
608C4⋊Dic47—21no—
609C4⋊Dic47—21no—
610C4⋊Dic47C2×D411yescharacteristic
611C4⋊Dic47C2×D411yescharacteristic
612C4⋊Dic47C2×D411yescharacteristic
613C4⋊Dic47C2411yescharacteristic
614C4⋊Dic47C2411yescharacteristic
615C4⋊Dic47C2411yescharacteristic
616C4⋊Dic47C2411yescharacteristic
617C4⋊Dic47C2411yescharacteristic
618C4⋊Dic47C2411yescharacteristic
619Dic47⋊C4—21no—
620Dic47⋊C4—21no—
621Dic47⋊C4—21no—
622Dic47⋊C4—21no—
623Dic47⋊C4—21no—
624Dic47⋊C4—21no—
625Dic47⋊C4—21no—
626Dic47⋊C4—21no—
627Dic47⋊C4—21no—
628Dic47⋊C4—21no—
629Dic47⋊C4—21no—
630Dic47⋊C4—21no—
631Dic47⋊C4—21no—
632Dic47⋊C4—21no—
633Dic47⋊C4—21no—
634Dic47⋊C4—21no—
635Dic47⋊C4—21no—
636Dic47⋊C4—21no—
637Dic47⋊C4—21no—
638Dic47⋊C4—21no—
639Dic47⋊C4—21no—
640Dic47⋊C4C2×D411yescharacteristic
641Dic47⋊C4C2×D411yescharacteristic
642Dic47⋊C4C2×D411yescharacteristic
643Dic47⋊C4C2×D411yescharacteristic
644Dic47⋊C4C2×D411yescharacteristic
645Dic47⋊C4C2×D411yescharacteristic
646Dic47⋊C4C2×D411yescharacteristic
647Dic47⋊C4C2×D411yescharacteristic
648Dic47⋊C4C2×D411yescharacteristic
649Dic47⋊C4C2×D411yescharacteristic
650C4×Dic47—21no—
651C4×Dic47—21no—
652C4×Dic47—21no—
653C4×Dic47—21no—
654C4×Dic47—21no—
655C4×Dic47C2×D411yescharacteristic
656C4×Dic47C2×D411yescharacteristic
657C4×Dic47C2411yescharacteristic
658C4×Dic47C2411yescharacteristic
659C4×Dic47C2411yescharacteristic
660C2×C47⋊C8C2411yescharacteristic
661C2×C47⋊C8C2411yescharacteristic
662C2×C47⋊C8C2411yescharacteristic
663C2×C47⋊C8C2411yescharacteristic
664#10625325—22no—
665C23×C47—21no—
666C23×C47—21no—
667C23×C47—21no—
668C23×C47—21no—
669C22×D47—21no—
670C22×D47—24no—
671C22×D47—81no—
672C22×D47—81no—
673C22×D47C22×D411yescharacteristic
674Q8×C47—41no—
675Q8×C47—81no—
676D4×C47—21no—
677D4×C47—21no—
678D4×C47—21no—
679D4×C47—21no—
680D4×C47—21no—
681D4×C47—21no—
682D4×C47—21no—
683D4×C47—42no—
684D4×C47—81no—
685D4×C47—81no—
686D4×C47—81no—
687D4×C47—81no—
688D4×C47—81no—
689D4×C472−1+412yes—
690C2×C4×C47—21no—
691C2×C4×C47—21no—
692C2×C4×C47—21no—
693C2×C4×C47—21no—
694C2×C4×C47—42no—
695C2×C4×C47—81no—
696C2×C4×C47—81no—
697C2×C4×C47—81no—
698C2×C4×C47—81no—
699C2×C4×C47—81no—
700C2×C4×C47C22×D411yescharacteristic
701C2×C4×C47C22×D411yescharacteristic
702C2×C4×C47C22×D411yescharacteristic
703C2×C4×C47C22×D411yescharacteristic
704C2×C4×C47C22×D411yescharacteristic
705C2×C4×C47C22×D411yescharacteristic
706C2×C4×C47C2511yescharacteristic
707C22⋊D47—24no—
708C22⋊D47—81no—
709C22⋊D47—81no—
710C22⋊D47—81no—
711C2×Dic47—21no—
712C2×Dic47—21no—
713C2×Dic47—21no—
714C2×Dic47—21no—
715C2×Dic47—21no—
716C2×Dic47—21no—
717C2×Dic47—21no—
718C2×Dic47—42no—
719C2×Dic47—81no—
720C2×Dic47—81no—
721C2×Dic47—81no—
722C2×Dic47—81no—
723C2×Dic47—81no—
724C2×Dic47—81no—
725C2×Dic47—81no—
726C2×Dic47—81no—
727C2×Dic47C22×D411yescharacteristic
728C2×Dic47C22×D411yescharacteristic
729C2×Dic47C22×D411yescharacteristic
730C2×Dic47C22×D411yescharacteristic
731C2×Dic47C22×D411yescharacteristic
732C2×Dic47C22×D411yescharacteristic
733C2×Dic47C22×D411yescharacteristic
734D188—21no—
735D1882−1+412yes—
736C4×D47—21no—
737C4×D47—21no—
738C4×D47—41no—
739C4×D47—41no—
740C4×D47—42no—
741C4×D47—81no—
742C4×D47—81no—
743C4×D47—81no—
744C4×D47—81no—
745C4×D47—81no—
746C4×D47—81no—
747Dic94—21no—
748Dic94—21no—
749Dic94—41no—
750Dic94—41no—
751Dic94—41no—
752Dic94—42no—
753Dic94—42no—
754Dic94—81no—
755Dic94—81no—
756Dic94—81no—
757Dic94—81no—
758Dic94—81no—
759Dic94—81no—
760C8×C47—21no—
761C8×C47—21no—
762C8×C47—21no—
763C8×C47—21no—
764C47⋊C8—21no—
765C47⋊C8—21no—
766C47⋊C8—21no—
767C47⋊C8—21no—
768#61872—471nomaximal, Sylow
769C22×C47—22no—
770C22×C47—41no—
771C22×C47—41no—
772C22×C47—41no—
773C22×C47—41no—
774C22×C47—41no—
775C22×C47—41no—
776C22×C47—41no—
777C22×C47—41no—
778C22×C47—41no—
779C22×C47—41no—
780C22×C47—41no—
781C22×C47C23×D411yescharacteristic
782C2×D47—21no—
783C2×D47—21no—
784C2×D47—21no—
785C2×D47—22no—
786C2×D47—41no—
787C2×D47—41no—
788C2×D47—84no—
789C4×C47—21no—
790C4×C47—21no—
791C4×C47—21no—
792C4×C47—21no—
793C4×C47—21no—
794C4×C47—21no—
795C4×C47—41no—
796C4×C47—41no—
797C4×C47—41no—
798C4×C47—41no—
799C4×C47C2×2−1+411yescharacteristic
800C4×C47C2×2−1+411yescharacteristic
801Dic47—21no—
802Dic47—21no—
803Dic47—21no—
804Dic47—21no—
805Dic47—21no—
806Dic47—21no—
807Dic47—21no—
808Dic47—41no—
809Dic47—41no—
810Dic47—41no—
811Dic47—41no—
812Dic47—41no—
813Dic47—41no—
814Dic47—41no—
815#3554—471no—
816#3501—471no—
817#3389—471no—
818#3389—471no—
819#3388—471no—
820#3388—471no—
821#3384—471no—
822#3384—471no—
823#3384—471no—
824#3384—471no—
825#3373—471no—
826#3373—471no—
827#3370—471no—
828#3370—471no—
829#3370—471no—
830#3370—471no—
831#3366—471no—
832#3366D4711yescharacteristic, complemented
833#3244—471no—
834#3244—471no—
835#3241—471no—
836#3241—471no—
837#3240—471no—
838#3235—471no—
839#3122—471no—
840#3122—471no—
841#3118—471no—
842#3118—471no—
843#3114—471no—
844#3109—471no—
845#2987—471no—
846C2×C47—42no—
847C2×C47—81no—
848C2×C47—81no—
849C2×C47—81no—
850C2×C47#348611yescharacteristic
851C2×C47#358511yescharacteristic
852C2×C47#358511yescharacteristic
853D47—41no—
854D47—42no—
855#562—941no—
856#562—941no—
857#559—471no—
858#559—471no—
859#559—471no—
860#557—471no—
861#554—471no—
862#554—471no—
863#554—471no—
864#554—471no—
865#554—471no—
866#554—471no—
867#554—471no—
868#554—941no—
869#554—941no—
870#554—941no—
871#554C2×D4711yescharacteristic
872#550C2×D4711yescharacteristic, complemented
873D4×Q8—471no—
874D4×Q8—471no—
875D4×Q8—471no—
876D4×Q8—941no—
877#548—941no—
878#547—941no—
879#544—471no—
880#544—471no—
881#543—941no—
882#543—941no—
883#542—471no—
884#542—471no—
885#542—941no—
886#540—471no—
887#540—471no—
888#539—941no—
889#539—941no—
890#536—941no—
891#533—471no—
892#533—471no—
893#532—471no—
894#529—471no—
895C2×C22⋊Q8—941no—
896C2×C22⋊Q8—941no—
897#518—471no—
898#518—471no—
899C2×C4×D4—471no—
900#501—471no—
901#501—471no—
902#501—471no—
903#501—471no—
904#501—471no—
905#501—471no—
906#501—471no—
907#501—471no—
908#499—471no—
909#499—471no—
910#498—471no—
911#498—471no—
912#490—471no—
913#490—471no—
914#490C2×D4711yescharacteristic, complemented
915#490C2×D4711yescharacteristic, complemented
916#489—471no—
917#489—471no—
918#489—471no—
919#489—471no—
920#488—471no—
921#488—471no—
922#486—471no—
923#486C2×D4711yescharacteristic, complemented
924#485—471no—
925#485—471no—
926#483—471no—
927#482—471no—
928#482—471no—
929#482—471no—
930#482—471no—
931#482—471no—
932#482—471no—
933#481—471no—
934#481—471no—
935#480—471no—
936#479—471no—
937#479—471no—
938#479—471no—
939#479—471no—
940#478—471no—
941#478—471no—
942#478—471no—
943#478—471no—
944#478—471no—
945#478—471no—
946#478—471no—
947#478—471no—
948#478—471no—
949#478—471no—
950#478—471no—
951#478—471no—
952#478C2×D4711yescharacteristic, complemented
953#478C2×D4711yescharacteristic, complemented
954#476—471no—
955#476—471no—
956#476—471no—
957#476—471no—
958#476—471no—
959#476—471no—
960#476—471no—
961#476—471no—
962#476—471no—
963#476C2×D4711yescharacteristic, complemented
964#475—471no—
965#475—471no—
966#474—471no—
967#474—471no—
968#474—471no—
969#474—471no—
970#474—471no—
971#474—471no—
972#463—471no—
973#463—471no—
974#463—471no—
975#463—471no—
976#463—471no—
977#463—471no—
978#459—471no—
979#459—471no—
980#459—471no—
981#459C2×D4711yescharacteristic
982#459C2×D4711yescharacteristic
983#459C2×D4711yescharacteristic
984#450—471no—
985#447—471no—
986#447—471no—
987#447—471no—
988#446—471no—
989#446—471no—
990#446—471no—
991#446—471no—
992#446—471no—
993#446—471no—
994#446—471no—
995#446C2×D4711yescharacteristic, complemented
996#442—471no—
997#442—471no—
998#442—471no—
999#442—471no—
1000#442—471no—
1001#442—471no—
1002#442—471no—
1003#442—471no—
1004#442—471no—
1005#442—471no—
1006#442C2×D4711yescharacteristic
1007#442C2×D4711yescharacteristic
1008#440—471no—
1009#440—471no—
1010#440—471no—
1011#440—471no—
1012C4×SD16—471no—
1013C4×SD16—471no—
1014C4×D8—471no—
1015C4×D8—471no—
1016C4×D8—471no—
1017C4×D8—471no—
1018C4×D8—471no—
1019C4×D8C2×D4711yescharacteristic
1020#433—471no—
1021#433—471no—
1022#433—471no—
1023#433—471no—
1024#432—471no—
1025#432—471no—
1026C47#6187211yescharacteristic, complemented, Sylow
1027C2×#41—21no—
1028C2×#41—941no—
1029C22×Q8—941no—
1030C22×Q8—941no—
1031C22×Q8—941no—
1032C22×D4—471no—
1033C23×C4—941no—
1034C2×SD16—471no—
1035C2×SD16—471no—
1036C2×D8—471no—
1037C2×D8—471no—
1038C2×D8—471no—
1039C2×D8C22×D4711yescharacteristic
1040C2×D8C22×D4711yescharacteristic
1041C2×D8C22×D4711yescharacteristic
1042C4⋊Q8—471no—
1043C4⋊Q8—471no—
1044C4⋊Q8—471no—
1045C4⋊Q8—471no—
1046C4⋊Q8—471no—
1047C4⋊Q8—471no—
1048C4⋊Q8—471no—
1049C4⋊Q8—471no—
1050C4⋊Q8—471no—
1051C4⋊Q8—471no—
1052C4⋊Q8—941no—
1053C4⋊Q8—941no—
1054C4⋊Q8—941no—
1055C4⋊Q8C22×D4711yescharacteristic
1056#127C22×D4711yescharacteristic
1057#127C22×D4711yescharacteristic
1058#127C22×D4711yescharacteristic
1059#126—941no—
1060#126—941no—
1061#126—941no—
1062#125—471no—
1063#125—471no—
1064#125—471no—
1065#125—471no—
1066#125—471no—
1067#125—471no—
1068#125—471no—
1069#125—471no—
1070#125—471no—
1071#125—941no—
1072#125—941no—
1073#125—941no—
1074#125—941no—
1075#125C22×D4711yescharacteristic
1076#125C22×D4711yescharacteristic
1077#124—471no—
1078#124—471no—
1079#124—471no—
1080#124—941no—
1081#124—941no—
1082#124—941no—
1083#124—941no—
1084#124—941no—
1085#124—941no—
1086#123—941no—
1087#123—941no—
1088#123—941no—
1089#123—941no—
1090#123—941no—
1091#123—941no—
1092#123—941no—
1093#123—941no—
1094#123—941no—
1095#123—941no—
1096#123—941no—
1097#123—941no—
1098#123—941no—
1099C22⋊Q8—21no—
1100C22⋊Q8—21no—
1101C22⋊Q8—21no—
1102C22⋊Q8—471no—
1103C22⋊Q8—471no—
1104C22⋊Q8—471no—
1105C22⋊Q8—471no—
1106C22⋊Q8—471no—
1107C22⋊Q8—941no—
1108C22⋊Q8—941no—
1109C22⋊Q8—941no—
1110C22⋊Q8—941no—
1111C22⋊Q8—941no—
1112C22⋊Q8—941no—
1113C22⋊Q8—941no—
1114C22⋊Q8—941no—
1115C22⋊Q8—941no—
1116C22⋊Q8—941no—
1117C22⋊Q8—941no—
1118C22⋊Q8—941no—
1119C22⋊Q8—941no—
1120C22⋊Q8—941no—
1121C22⋊Q8—941no—
1122C22⋊Q8—941no—
1123C22⋊Q8—941no—
1124C22⋊Q8—941no—
1125C22⋊Q8—941no—
1126C22⋊Q8—941no—
1127C22⋊Q8—941no—
1128C22⋊Q8—941no—
1129C22⋊Q8—941no—
1130C22⋊Q8—941no—
1131C22⋊Q8—941no—
1132C22⋊Q8—941no—
1133C22⋊Q8—941no—
1134C22⋊Q8—941no—
1135C22⋊Q8—941no—
1136C22⋊Q8—941no—
1137C22⋊Q8—941no—
1138C22⋊Q8—941no—
1139C22⋊Q8—941no—
1140C22⋊Q8—941no—
1141C22⋊Q8—941no—
1142C22⋊Q8—941no—
1143C22⋊Q8—941no—
1144C22⋊Q8—941no—
1145#121—21no—
1146#121—21no—
1147#121—21no—
1148#121—471no—
1149#121—471no—
1150#121—471no—
1151#121—941no—
1152#121—941no—
1153#121—941no—
1154#121—941no—
1155#121—941no—
1156C4×Q8—471no—
1157C4×Q8—471no—
1158C4×Q8—471no—
1159C4×Q8—471no—
1160C4×Q8—471no—
1161C4×Q8—471no—
1162C4×Q8—941no—
1163C4×Q8—941no—
1164C4×Q8—941no—
1165C4×Q8C22×D4711yescharacteristic
1166C4×D4—471no—
1167C4×D4—471no—
1168C4×D4—471no—
1169C4×D4—471no—
1170C4×D4—471no—
1171C4×D4—471no—
1172C4×D4—471no—
1173C4×D4—471no—
1174C4×D4—471no—
1175C4×D4—471no—
1176C4×D4—471no—
1177C4×D4—471no—
1178C4×D4—471no—
1179C4×D4—471no—
1180C4×D4—471no—
1181C4×D4—941no—
1182C4×D4—941no—
1183C4×D4—941no—
1184C4×D4—941no—
1185C4×D4—941no—
1186C4×D4—941no—
1187C4×D4—941no—
1188C4×D4—941no—
1189C4×D4—941no—
1190C4×D4—941no—
1191C4×D4—941no—
1192C4×D4C22×D4711yescharacteristic
1193C4×D4C22×D4711yescharacteristic
1194C4×D4C22×D4711yescharacteristic
1195C4×D4C22×D4711yescharacteristic
1196C4×D4C22×D4711yescharacteristic
1197C4×D4C22×D4711yescharacteristic
1198#117—471no—
1199#117—471no—
1200#117—471no—
1201#117—471no—
1202#117—941no—
1203C2×C4⋊C4—21no—
1204C2×C4⋊C4—471no—
1205C2×C4⋊C4—941no—
1206C2×C4⋊C4—941no—
1207C2×C4⋊C4—941no—
1208C2×C4⋊C4—941no—
1209C2×C4⋊C4—941no—
1210C2×C4⋊C4—941no—
1211C2×C4⋊C4—941no—
1212C2×C22⋊C4—941no—
1213C2×C22⋊C4—941no—
1214C2×C22⋊C4—941no—
1215C2×C22⋊C4—941no—
1216C2×C22⋊C4—941no—
1217C2×C42—471no—
1218#107—471no—
1219#107—471no—
1220#107—471no—
1221#107—471no—
1222#107—471no—
1223#107—471no—
1224#107—471no—
1225#107—471no—
1226#107—471no—
1227#107C22×D4711yescharacteristic
1228#106—471no—
1229#106—471no—
1230#106—471no—
1231#106—471no—
1232#106—471no—
1233#106—471no—
1234#106—471no—
1235#106—471no—
1236#106—471no—
1237#106—471no—
1238#106—471no—
1239#106—471no—
1240#106C22×D4711yescharacteristic
1241#106C22×D4711yescharacteristic
1242C4⋊C8—471no—
1243C4⋊C8—471no—
1244C4⋊C8—471no—
1245C4⋊C8—471no—
1246C4⋊C8—471no—
1247C4⋊C8—471no—
1248C4⋊C8—471no—
1249C4⋊C8—471no—
1250C4⋊C8—471no—
1251C4⋊C8C22×D4711yescharacteristic
1252C4⋊C8C22×D4711yescharacteristic
1253C4⋊C8C22×D4711yescharacteristic
1254#103—471no—
1255#103—471no—
1256#103—471no—
1257#103—471no—
1258#103—471no—
1259#103—471no—
1260#102—471no—
1261#102—471no—
1262#102—471no—
1263#102—471no—
1264#102—471no—
1265#102—471no—
1266#102—471no—
1267#102—471no—
1268#102—471no—
1269#102—471no—
1270#102—471no—
1271#102—471no—
1272#102—471no—
1273#102—471no—
1274#102—471no—
1275#102—471no—
1276#102C22×D4711yescharacteristic
1277#102C22×D4711yescharacteristic
1278#102C22×D4711yescharacteristic
1279#102C22×D4711yescharacteristic
1280#102C22×D4711yescharacteristic
1281#102C22×D4711yescharacteristic
1282#102C22×D4711yescharacteristic
1283#102C22×D4711yescharacteristic
1284#102C22×D4711yescharacteristic
1285#102C22×D4711yescharacteristic
1286C22⋊C8—471no—
1287C22⋊C8—471no—
1288C22⋊C8—471no—
1289C22⋊C8—471no—
1290#97—471no—
1291#97—471no—
1292#97—471no—
1293#97—471no—
1294#97—471no—
1295#97—471no—
1296#97C22×D4711yescharacteristic
1297#97C22×D4711yescharacteristic
1298C4×C8—471no—
1299C4×C8—471no—
1300C4×C8—471no—
1301C4×C8C22×D4711yescharacteristic
1302C24—941no—
1303#41—82no—
1304#41—3762no—
1305C2×Q8—21no—
1306C2×Q8—471no—
1307C2×Q8—471no—
1308C2×Q8—471no—
1309C2×Q8—471no—
1310C2×Q8—941no—
1311C2×Q8—941no—
1312C2×Q8—941no—
1313C2×Q8—941no—
1314C2×Q8—941no—
1315C2×Q8—941no—
1316C2×Q8—941no—
1317C2×Q8—941no—
1318C2×Q8—3762no—
1319C2×Q8—3762no—
1320C2×Q8—3762no—
1321C2×Q8D4×D4711yescharacteristic
1322C2×D4—21no—
1323C2×D4—21no—
1324C2×D4—21no—
1325C2×D4—21no—
1326C2×D4—21no—
1327C2×D4—21no—
1328C2×D4—471no—
1329C2×D4—941no—
1330C2×D4—942no—
1331C2×D4—942no—
1332C2×D4—941no—
1333C2×D4—941no—
1334C2×D4—941no—
1335C2×D4C23×D4711yescharacteristic
1336C2×D4C23×D4711yescharacteristic
1337C2×D4C23×D4711yescharacteristic
1338C2×D4C23×D4711yescharacteristic
1339C22×C4—21no—
1340C22×C4—21no—
1341C22×C4—21no—
1342C22×C4—21no—
1343C22×C4—21no—
1344C22×C4—21no—
1345C22×C4—471no—
1346C22×C4—471no—
1347C22×C4—471no—
1348C22×C4—941no—
1349C22×C4—941no—
1350C22×C4—941no—
1351C22×C4—941no—
1352C22×C4—941no—
1353C22×C4—941no—
1354C22×C4—941no—
1355C22×C4—941no—
1356C22×C4—941no—
1357C22×C4—941no—
1358C22×C4—941no—
1359C22×C4—941no—
1360C22×C4—941no—
1361C22×C4—941no—
1362C22×C4—941no—
1363C22×C4—941no—
1364C22×C4—3762no—
1365SD16—942no—
1366SD16—942no—
1367D8—22no—
1368D8—22no—
1369D8—22no—
1370D8—942no—
1371D8—942no—
1372D8—942no—
1373C2×C8—471no—
1374C2×C8—471no—
1375C2×C8—471no—
1376C2×C8—471no—
1377C2×C8C23×D4711yescharacteristic
1378C2×C8C23×D4711yescharacteristic
1379C2×C8C23×D4711yescharacteristic
1380C2×C8C23×D4711yescharacteristic
1381C4⋊C4—21no—
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—21no—
1385C4⋊C4—21no—
1386C4⋊C4—471no—
1387C4⋊C4—471no—
1388C4⋊C4—471no—
1389C4⋊C4—471no—
1390C4⋊C4—471no—
1391C4⋊C4—471no—
1392C4⋊C4—471no—
1393C4⋊C4—471no—
1394C4⋊C4—471no—
1395C4⋊C4—471no—
1396C4⋊C4—471no—
1397C4⋊C4—471no—
1398C4⋊C4—471no—
1399C4⋊C4—471no—
1400C4⋊C4—471no—
1401C4⋊C4—471no—
1402C4⋊C4—471no—
1403C4⋊C4—471no—
1404C4⋊C4—471no—
1405C4⋊C4—941no—
1406C4⋊C4—941no—
1407C4⋊C4—941no—
1408C4⋊C4—941no—
1409C4⋊C4—941no—
1410C4⋊C4—941no—
1411C4⋊C4—941no—
1412C4⋊C4—941no—
1413C4⋊C4—941no—
1414C4⋊C4—941no—
1415C4⋊C4—941no—
1416C4⋊C4—941no—
1417C4⋊C4—941no—
1418C4⋊C4—941no—
1419C4⋊C4—941no—
1420C4⋊C4—941no—
1421C4⋊C4—941no—
1422C4⋊C4—941no—
1423C4⋊C4—941no—
1424C4⋊C4—941no—
1425C4⋊C4—941no—
1426C4⋊C4—941no—
1427C4⋊C4—941no—
1428C4⋊C4—941no—
1429C4⋊C4—941no—
1430C4⋊C4—941no—
1431C4⋊C4—941no—
1432C4⋊C4D4×D4711yescharacteristic
1433C4⋊C4D4×D4711yescharacteristic
1434C4⋊C4D4×D4711yescharacteristic
1435C4⋊C4C23×D4711yescharacteristic
1436C4⋊C4C23×D4711yescharacteristic
1437C4⋊C4C23×D4711yescharacteristic
1438C4⋊C4C23×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—941no—
1463C22⋊C4—941no—
1464C22⋊C4—941no—
1465C22⋊C4—941no—
1466C22⋊C4—941no—
1467C22⋊C4—941no—
1468C22⋊C4—941no—
1469C22⋊C4—941no—
1470C22⋊C4—941no—
1471C22⋊C4—941no—
1472C22⋊C4—941no—
1473C22⋊C4—941no—
1474C22⋊C4—941no—
1475C22⋊C4—941no—
1476C42—471no—
1477C42—471no—
1478C42—471no—
1479C42—471no—
1480C42—471no—
1481C42—941no—
1482C42—941no—
1483C42—941no—
1484C42—941no—
1485C42—941no—
1486C42C23×D4711yescharacteristic
1487C42C23×D4711yescharacteristic
1488C42C23×D4711yescharacteristic
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—471no—
1494C23—944no—
1495C23—941no—
1496C23—3761no—
1497C23—3761no—
1498Q8—41no—
1499Q8—81no—
1500Q8—941no—
1501Q8—941no—
1502Q8—3761no—
1503Q8—3761no—
1504Q8—3761no—
1505Q8—3761no—
1506Q8—3761no—
1507Q8—3761no—
1508Q8—1881no—
1509Q8—1881no—
1510Q8—1881no—
1511Q8—1882no—
1512Q8—1882no—
1513D4—21no—
1514D4—21no—
1515D4—21no—
1516D4—21no—
1517D4—21no—
1518D4—21no—
1519D4—21no—
1520D4—42no—
1521D4—81no—
1522D4—81no—
1523D4—81no—
1524D4—81no—
1525D4—81no—
1526D4—472no—
1527D4—944no—
1528D4—941no—
1529D4—3761no—
1530D4—3761no—
1531D4—3761no—
1532D4#1309407112yes—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—42no—
1538C2×C4—81no—
1539C2×C4—81no—
1540C2×C4—81no—
1541C2×C4—81no—
1542C2×C4—81no—
1543C2×C4—471no—
1544C2×C4—471no—
1545C2×C4—471no—
1546C2×C4—471no—
1547C2×C4—471no—
1548C2×C4—471no—
1549C2×C4—471no—
1550C2×C4—941no—
1551C2×C4—941no—
1552C2×C4—941no—
1553C2×C4—941no—
1554C2×C4—941no—
1555C2×C4—941no—
1556C2×C4—941no—
1557C2×C4—941no—
1558C2×C4—941no—
1559C2×C4—3761no—
1560C2×C4—3761no—
1561C2×C4—3761no—
1562C2×C4—3761no—
1563C2×C4—3761no—
1564C2×C4—3761no—
1565C2×C4—3761no—
1566C2×C4—3761no—
1567C2×C4—3761no—
1568C2×C4—3761no—
1569C2×C4—3761no—
1570C2×C4—3761no—
1571C2×C4—3761no—
1572C2×C4—3761no—
1573C2×C4—1881no—
1574C2×C4—1881no—
1575C2×C4—1882no—
1576C2×C4—1882no—
1577C2×C4C2×D4×D4711yescharacteristic
1578C2×C4C2×D4×D4711yescharacteristic
1579C2×C4C2×D4×D4711yescharacteristic
1580C2×C4C2×D4×D4711yescharacteristic
1581C2×C4C2×D4×D4711yescharacteristic
1582C2×C4C2×D4×D4711yescharacteristic
1583C2×C4C24×D4711yescharacteristic
1584C8—21no—
1585C8—21no—
1586C8—21no—
1587C8—21no—
1588C8—941no—
1589C8—941no—
1590C8—941no—
1591C8—941no—
1592C22—22no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—941no—
1605C22—942no—
1606C22—941no—
1607C22—941no—
1608C22—3764no—
1609C22—1881no—
1610C22—1881no—
1611C22C22×D4×D4711yescharacteristic
1612C4—21no—
1613C4—21no—
1614C4—21no—
1615C4—21no—
1616C4—21no—
1617C4—21no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—941no—
1623C4—941no—
1624C4—941no—
1625C4—941no—
1626C4—941no—
1627C4—941no—
1628C4—941no—
1629C4—1881no—
1630C4—1881no—
1631C4—1881no—
1632C4—1881no—
1633C4—1881no—
1634C4—1881no—
1635C4—1881no—
1636C42−1+4×D4711yescharacteristic
1637C4C2×#1309407111yescharacteristic
1638C2—42no—
1639C2—81no—
1640C2—81no—
1641C2—81no—
1642C2—1881no—
1643C2—1882no—
1644C2#2025703411yescharacteristic
1645C2#2025816311yescharacteristic
1646C2#2025816411yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3366C2
socleC22×C47C23×D4
hypercenter#3366D47
hypocenterC47#61872
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3366

Complements

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

NH ≅ G/Ntype
1. #20257855C2semidirect
2. #20257187C2semidirect
3. #20256346C2semidirect
4. #20256344C2semidirect
5. #20256335C2semidirect
6. #20256333C2semidirect
7. #20256290C2semidirect
8. #20256288C2semidirect
9. #20256288C2semidirect
10. #20256282C2semidirect
11. #20256185C2semidirect
12. #20256184C2semidirect
13. #20256136C2semidirect
14. #20256136C2semidirect
15. #20256134C2semidirect
16. #20256134C2semidirect
17. #20256091C2semidirect
18. #20254685C2semidirect
19. #20254683C2semidirect
20. #20254636C2semidirect
21. #20254634C2semidirect
22. #20254627C2semidirect
23. #20254581C2semidirect
24. #20253629C2semidirect
25. #20253629C2semidirect
26. #20253570C2semidirect
27. #20253568C2semidirect
28. #20253524C2semidirect
29. #20253478C2semidirect
30. #20252491C2semidirect
31. C47×#3366C2semidirect
34. #15689859C22semidirect
35. #15689859C22semidirect
36. #15689859C22semidirect
37. #15689851C22semidirect
41. #15689832C22semidirect
42. #15689832C22semidirect
49. D4×Dic94C22semidirect
75. #15689533C22semidirect
76. #15689532C22semidirect
77. #15689532C22semidirect
78. #15689531C22semidirect
79. #15689531C22semidirect
80. #15689530C22semidirect
81. #15689530C22semidirect
82. #15689529C22semidirect
83. #15689525C22semidirect
84. #15689522C22semidirect
85. #15689520C22semidirect
86. #15689520C22semidirect
87. #15689487C22semidirect
88. #15689487C22semidirect
89. #15689481C22semidirect
90. #15689481C22semidirect
91. #15689481C22semidirect
92. #15689481C22semidirect
93. #15689476C22semidirect
94. #15689476C22semidirect
95. #15689469C22semidirect
108. #15689431C22semidirect
109. #15689431C22semidirect
110. #15689427C22semidirect
111. #15689427C22semidirect
112. #15689425C22semidirect
113. #15689425C22semidirect
118. #15689423C22semidirect
119. #15689423C22semidirect
122. #15689421C22semidirect
123. #15689421C22semidirect
126. #15689413C22semidirect
129. #15689411C22semidirect
130. #15689411C22semidirect
131. #15689411C22semidirect
132. #15689411C22semidirect
133. #15689409C22semidirect
134. #15689405C22semidirect
137. #15689401C22semidirect
138. #15689401C22semidirect
139. #15689401C22semidirect
140. #15689401C22semidirect
154. #15689254C22semidirect
155. #15689253C22semidirect
156. #15689252C22semidirect
157. #15689252C22semidirect
158. #15689251C22semidirect
159. #15689251C22semidirect
160. #15689250C22semidirect
189. C47×#550C22semidirect
190. C47×#490C22semidirect
191. C47×#490C22semidirect
192. C47×#486C22semidirect
193. C47×#478C22semidirect
194. C47×#478C22semidirect
195. C47×#476C22semidirect
199. C47×#446C22semidirect
832. #3366D47semidirect
872. #550C2×D47semidirect
914. #490C2×D47semidirect
915. #490C2×D47semidirect
923. #486C2×D47semidirect
952. #478C2×D47semidirect
953. #478C2×D47semidirect
963. #476C2×D47semidirect
995. #446C2×D47semidirect
1026. C47#61872semidirect

Maximal subgroups

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

subgroupindex
#202578552
#202571872
#202563462
#202563442
#202563352
#202563332
#202562902
#202562882
#202562822
#202561852
#202561842
#202561362
#202561342
#202560912
#202546852
#202546832
#202546362
#202546342
#202546272
#202545812
#202536292
#202535702
#202535682
#202535242
#202534782
#202524912
C47×#33662
#6187247