Finite Group Databasebeta

← #27107140

Subgroups — #27107140

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#20257860C211yesmaximal, characteristic, complemented
2#20257187C211yesmaximal, characteristic, complemented
3#20256343C211yesmaximal, characteristic, complemented
4#20256341C211yesmaximal, characteristic, complemented
5#20256328C211yesmaximal, characteristic, complemented
6#20256326C211yesmaximal, characteristic, complemented
7#20256292C211yesmaximal, characteristic, complemented
8#20256286C211yesmaximal, characteristic, complemented
9#20256283C211yesmaximal, characteristic, complemented
10#20256183C211yesmaximal, characteristic, complemented
11#20256181C211yesmaximal, characteristic, complemented
12#20256143C211yesmaximal, characteristic, complemented
13#20256141C211yesmaximal, characteristic, complemented
14#20256139C211yesmaximal, characteristic, complemented
15#20256137C211yesmaximal, characteristic, complemented
16#20256098C211yesmaximal, characteristic, complemented
17#20256096C211yesmaximal, characteristic, complemented
18#20254689C211yesmaximal, characteristic, complemented
19#20254687C211yesmaximal, characteristic, complemented
20#20254640C211yesmaximal, characteristic, complemented
21#20254638C211yesmaximal, characteristic, complemented
22#20254627C211yesmaximal, characteristic, complemented
23#20254587C211yesmaximal, characteristic, complemented
24#20253630C211yesmaximal, characteristic, complemented
25#20253628C211yesmaximal, characteristic, complemented
26#20253579C211yesmaximal, characteristic, complemented
27#20253577C211yesmaximal, characteristic, complemented
28#20253524C211yesmaximal, characteristic, complemented
29#20253481C211yesmaximal, characteristic, complemented
30#20252491C211yesmaximal, characteristic, complemented
31C47×#3384C211yesmaximal, characteristic, complemented
32#15689869—21no—
33#15689869—21no—
34#15689858C2211yescharacteristic, complemented
35#15689856C2211yescharacteristic, complemented
36#15689856C2211yescharacteristic, complemented
37#15689848C2211yescharacteristic, complemented
38#15689834C2211yescharacteristic, complemented
39#15689834C2211yescharacteristic, complemented
40#15689833C2211yescharacteristic
41#15689832C2211yescharacteristic
42#15689832C2211yescharacteristic
43#15689829C2211yescharacteristic
44#15689829C2211yescharacteristic
45#15689828—21no—
46#15689827—21no—
47#15689827—21no—
48#15689794C2211yescharacteristic, complemented
49D4×Dic94C2211yescharacteristic
50#15689788C2211yescharacteristic
51#15689786—21no—
52#15689784—21no—
53#15689775—21no—
54#15689753C2211yescharacteristic
55#15689750C2211yescharacteristic
56#15689748—21no—
57#15689748—21no—
58#15689747C2211yescharacteristic
59#15689747C2211yescharacteristic
60#15689746—21no—
61#15689724C2211yescharacteristic
62#15689724C2211yescharacteristic
63#15689719—21no—
64#15689719—21no—
65#15689697—21no—
66#15689679C2211yescharacteristic
67#15689677C2211yescharacteristic
68#15689674C2211yescharacteristic
69#15689655C2211yescharacteristic
70C2×#13094002—21no—
71C22⋊Q8×D47—21no—
72#15689595C2211yescharacteristic
73#15689595C2211yescharacteristic
74C4×D4×D47C2211yescharacteristic
75#15689531C2211yescharacteristic, complemented
76#15689530C2211yescharacteristic, complemented
77#15689530C2211yescharacteristic, complemented
78#15689530C2211yescharacteristic, complemented
79#15689529C2211yescharacteristic, complemented
80#15689529C2211yescharacteristic, complemented
81#15689524C2211yescharacteristic, complemented
82#15689523C2211yescharacteristic, complemented
83#15689519C2211yescharacteristic, complemented
84#15689489C2211yescharacteristic, complemented
85#15689488C2211yescharacteristic, complemented
86#15689486C2211yescharacteristic, complemented
87#15689486C2211yescharacteristic, complemented
88#15689485C2211yescharacteristic, complemented
89#15689483C2211yescharacteristic, complemented
90#15689481C2211yescharacteristic, complemented
91#15689481C2211yescharacteristic, complemented
92#15689480C2211yescharacteristic, complemented
93#15689478C2211yescharacteristic, complemented
94#15689468C2211yescharacteristic, complemented
95#15689468C2211yescharacteristic, complemented
96#15689467C2211yescharacteristic
97#15689466C2211yescharacteristic
98#15689455C2211yescharacteristic
99#15689450C2211yescharacteristic
100#15689450C2211yescharacteristic
101#15689449C2211yescharacteristic
102#15689449C2211yescharacteristic
103#15689446C2211yescharacteristic
104#15689445C2211yescharacteristic
105#15689443C2211yescharacteristic
106#15689443C2211yescharacteristic
107#15689435C2211yescharacteristic
108#15689433C2211yescharacteristic, complemented
109#15689431C2211yescharacteristic, complemented
110#15689429C2211yescharacteristic, complemented
111#15689427C2211yescharacteristic, complemented
112#15689426C2211yescharacteristic
113#15689426C2211yescharacteristic, complemented
114#15689425C2211yescharacteristic
115#15689424C2211yescharacteristic, complemented
116#15689423C2211yescharacteristic, complemented
117#15689423C2211yescharacteristic, complemented
118#15689422C2211yescharacteristic
119#15689422C2211yescharacteristic
120#15689422C2211yescharacteristic, complemented
121#15689421C2211yescharacteristic
122#15689421C2211yescharacteristic
123#15689420C2211yescharacteristic, complemented
124#15689413C2211yescharacteristic, complemented
125#15689412C2211yescharacteristic, complemented
126#15689412C2211yescharacteristic, complemented
127#15689412C2211yescharacteristic, complemented
128#15689412C2211yescharacteristic, complemented
129#15689410C2211yescharacteristic
130#15689410C2211yescharacteristic
131#15689407C2211yescharacteristic, complemented
132#15689407C2211yescharacteristic, complemented
133#15689404C2211yescharacteristic, complemented
134#15689402C2211yescharacteristic, complemented
135#15689402C2211yescharacteristic, complemented
136#15689400C2211yescharacteristic
137#15689400C2211yescharacteristic, complemented
138#15689339C2211yescharacteristic
139#15689339C2211yescharacteristic
140#15689338C2211yescharacteristic
141#15689338C2211yescharacteristic
142#15689337C2211yescharacteristic
143#15689336C2211yescharacteristic
144#15689319C2211yescharacteristic
145#15689318C2211yescharacteristic
146#15689317C2211yescharacteristic
147#15689317C2211yescharacteristic
148#15689316C2211yescharacteristic
149#15689316C2211yescharacteristic
150#15689275C2211yescharacteristic
151#15689258C2211yescharacteristic
152#15689258C2211yescharacteristic
153#15689255C2211yescharacteristic
154#15689254C2211yescharacteristic, complemented
155#15689253C2211yescharacteristic, complemented
156#15689252C2211yescharacteristic, complemented
157#15689252C2211yescharacteristic, complemented
158#15689251C2211yescharacteristic, complemented
159#15689251C2211yescharacteristic, complemented
160#15689250C2211yescharacteristic, complemented
161#15689236C2211yescharacteristic
162#15689234C2211yescharacteristic
163#15689234C2211yescharacteristic
164#15689234C2211yescharacteristic
165#15689233C2211yescharacteristic
166#15689233C2211yescharacteristic
167#15689233C2211yescharacteristic
168#15689232C2211yescharacteristic
169#15689232C2211yescharacteristic
170#15689232C2211yescharacteristic
171#15689225C2211yescharacteristic
172#15689223C2211yescharacteristic
173#15689222C2211yescharacteristic
174#15689220C2211yescharacteristic
175#15689214C2211yescharacteristic
176#15689210C2211yescharacteristic
177C4×D376C2211yescharacteristic
178#15689205C2211yescharacteristic
179C4×#10625334C2211yescharacteristic
180C4×#10625334C2211yescharacteristic
181#15689203C2211yescharacteristic
182#15689185C2211yescharacteristic
183#15689183C2211yescharacteristic
184#15689183C2211yescharacteristic
185#15689182C2211yescharacteristic
186#15689179C2211yescharacteristic
187#15689178C2211yescharacteristic
188C47×#554C2211yescharacteristic
189D4×Q8×C47C2211yescharacteristic, complemented
190C47×#501C2211yescharacteristic, complemented
191C47×#501C2211yescharacteristic, complemented
192C47×#498C2211yescharacteristic, complemented
193C47×#478C2211yescharacteristic, complemented
194C47×#478C2211yescharacteristic, complemented
195C47×#476C2211yescharacteristic
196C47×#476C2211yescharacteristic
197C47×#476C2211yescharacteristic, complemented
198C47×#474C2211yescharacteristic
199C47×#446C2211yescharacteristic, complemented
200C47×#442C2211yescharacteristic
201C47×#442C2211yescharacteristic
202C4×D8×C47C2211yescharacteristic
203C2×#10625354—21no—
204C2×#10625350—21no—
205C22×Dic94—21no—
206C2×Q8×D47—21no—
207C2×D4×D47C2311yescharacteristic
208C22×C4×D47—21no—
209C2×#10625325C2311yescharacteristic
210C2×#10625335C2311yescharacteristic
211C2×D376C2311yescharacteristic
212C2×D376C2311yescharacteristic
213C2×#10625334C2311yescharacteristic
214C2×#10625334C2311yescharacteristic
215C2×#10625334C2311yescharacteristic
216#13094024C2311yescharacteristic
217#13094023—21no—
218#13094023D411yescharacteristic
219#13094023C2311yescharacteristic
220#13094023C2311yescharacteristic
221#13094023C2311yescharacteristic
222#13094023C2311yescharacteristic
223#13094022—21no—
224#13094022—21no—
225#13094022D411yescharacteristic
226#13094021C2311yescharacteristic
227#13094020C2311yescharacteristic
228#13094020C2311yescharacteristic
229#13094019—21no—
230#13094019—21no—
231#13094017—21no—
232#13094016C2311yescharacteristic
233#13094016C2311yescharacteristic
234#13094015C2311yescharacteristic
235#13094015C2311yescharacteristic
236#13094015C2311yescharacteristic
237#13094015C2311yescharacteristic
238#13094015C2311yescharacteristic
239#13094014—21no—
240#13094014—21no—
241#13094014—21no—
242#13094014—21no—
243#13094014D411yescharacteristic
244#13094014D411yescharacteristic
245#13094013—21no—
246#13094013—21no—
247#13094013—21no—
248#13094013—21no—
249#13094012C2311yescharacteristic
250#13094012C2311yescharacteristic
251#13094011C2311yescharacteristic
252#13094010—21no—
253#13094010—21no—
254#13094009—21no—
255#13094009—21no—
256#13094009—21no—
257#13094009—21no—
258#13094007—21no—
259#13094007—21no—
260#13094007—21no—
261#13094007—21no—
262#13094006—21no—
263#13094006—21no—
264#13094006—21no—
265#13094006—21no—
266#13094006—21no—
267#13094004—21no—
268#13094004—21no—
269#13094004—21no—
270#13094004—21no—
271#13094004—21no—
272#13094004D411yescharacteristic
273#13094004C2311yescharacteristic
274#13094003—21no—
275#13094003—21no—
276#13094003—21no—
277#13094002—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#13094002D411yescharacteristic
290#13094002D411yescharacteristic
291#13094001—21no—
292#13094001—21no—
293#13094001—21no—
294#13094001—21no—
295#13094001—21no—
296#13094001—21no—
297#13094000—21no—
298#13094000—21no—
299#13094000—21no—
300#13094000—21no—
301#13094000—21no—
302#13094000—21no—
303#13094000—21no—
304#13094000—21no—
305#13094000—21no—
306#13094000D411yescharacteristic
307#13093999—21no—
308#13093999C2311yescharacteristic
309#13093999C2311yescharacteristic
310#13093998—21no—
311#13093998—21no—
312#13093998—21no—
313#13093997—21no—
314#13093997—21no—
315#13093997—21no—
316#13093997—21no—
317#13093995C2311yescharacteristic
318Q8×Dic47—21no—
319C4×Dic94C2311yescharacteristic
320C4×Dic94C2311yescharacteristic
321C4×Dic94C2311yescharacteristic
322C4×Dic94C2311yescharacteristic
323#13093989—21no—
324#13093989—21no—
325#13093989C2311yescharacteristic
326#13093989C2311yescharacteristic
327C4×D188C2311yescharacteristic
328C4×D188C2311yescharacteristic
329C4×D188C2311yescharacteristic
330C4×D188C2311yescharacteristic
331C4×D188C2311yescharacteristic
332D4×Dic47C2311yescharacteristic
333D4×Dic47C2311yescharacteristic
334D4×Dic47C2311yescharacteristic
335#13093986—21no—
336#13093986—21no—
337#13093986C2311yescharacteristic
338#13093986C2311yescharacteristic
339#13093986C2311yescharacteristic
340#13093986C2311yescharacteristic
341#13093986C2311yescharacteristic
342#13093986C2311yescharacteristic
343#13093986C2311yescharacteristic
344C4×C22⋊D47—21no—
345C4×C22⋊D47—21no—
346C4×C22⋊D47—21no—
347C4×C22⋊D47—21no—
348C4×C22⋊D47—21no—
349C4×C22⋊D47—21no—
350(C22⋊D47)⋊C4—21no—
351(C22⋊D47)⋊C4—21no—
352(C22⋊D47)⋊C4—21no—
353#13093983—21no—
354#13093982C2311yescharacteristic
355#13093982C2311yescharacteristic
356#13093981C2311yescharacteristic
357#13093981C2311yescharacteristic
358C2×Dic47⋊C4—21no—
359C2×Dic47⋊C4—21no—
360C4⋊C4×D47—21no—
361C4⋊C4×D47—21no—
362C4⋊C4×D47—21no—
363C4⋊C4×D47—21no—
364C4⋊C4×D47—21no—
365C4⋊C4×D47C2311yescharacteristic
366C2×(C2×D47)⋊C4—21no—
367C2×(C2×D47)⋊C4—21no—
368C22⋊C4×D47—21no—
369C22⋊C4×D47—21no—
370C22⋊C4×D47—21no—
371C42×D47C2311yescharacteristic
372#13093958C2311yescharacteristic
373#13093958C2311yescharacteristic
374#13093957C2311yescharacteristic
375#13093957C2311yescharacteristic
376#13093957C2311yescharacteristic
377#13093957C2311yescharacteristic
378#13093957C2311yescharacteristic
379#13093956C2311yescharacteristic
380#13093955C2311yescharacteristic
381#13093955C2311yescharacteristic
382#13093955C2311yescharacteristic
383#13093955C2311yescharacteristic
384#13093955C2311yescharacteristic
385#13093955C2311yescharacteristic
386#13093955C2311yescharacteristic
387C4⋊(C47⋊C8)C2311yescharacteristic
388C4⋊(C47⋊C8)C2311yescharacteristic
389C4⋊(C47⋊C8)C2311yescharacteristic
390Dic47⋊C8C2311yescharacteristic
391Dic47⋊C8C2311yescharacteristic
392Dic47⋊C8C2311yescharacteristic
393Dic47⋊C8C2311yescharacteristic
394Dic47⋊C8C2311yescharacteristic
395Dic47⋊C8C2311yescharacteristic
396#13093949C2311yescharacteristic
397#13093949C2311yescharacteristic
398#13093949C2311yescharacteristic
399#13093947C2311yescharacteristic
400#13093947C2311yescharacteristic
401#13093947C2311yescharacteristic
402#13093946C2311yescharacteristic
403#13093946C2311yescharacteristic
404#13093946C2311yescharacteristic
405#13093946C2311yescharacteristic
406#13093946C2311yescharacteristic
407#13093946C2311yescharacteristic
408#13093946C2311yescharacteristic
409#13093945C2311yescharacteristic
410#13093945C2311yescharacteristic
411#13093945C2311yescharacteristic
412#13093945C2311yescharacteristic
413#13093944C2311yescharacteristic
414#13093944C2311yescharacteristic
415#13093944C2311yescharacteristic
416#13093944C2311yescharacteristic
417#13093944C2311yescharacteristic
418#13093944C2311yescharacteristic
419#13093944C2311yescharacteristic
420#13093944C2311yescharacteristic
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
435C22×Q8×C47—21no—
436C2×D8×C47C2311yescharacteristic
437C4⋊Q8×C47C2311yescharacteristic
438C4⋊Q8×C47C2311yescharacteristic
439C4⋊Q8×C47C2311yescharacteristic
440C4⋊Q8×C47C2311yescharacteristic
441#125×C47C2311yescharacteristic
442#125×C47C2311yescharacteristic
443C22⋊Q8×C47—21no—
444C22⋊Q8×C47—21no—
445C22⋊Q8×C47—21no—
446C22⋊Q8×C47—21no—
447C22⋊Q8×C47—21no—
448C22⋊Q8×C47—21no—
449C4×Q8×C47C2311yescharacteristic
450C4×D4×C47C2311yescharacteristic
451C4×D4×C47C2311yescharacteristic
452C4×D4×C47C2311yescharacteristic
453C4×D4×C47C2311yescharacteristic
454C4×D4×C47C2311yescharacteristic
455C4×D4×C47C2311yescharacteristic
456C2×C4⋊C4×C47—21no—
457#107×C47C2311yescharacteristic
458#107×C47C2311yescharacteristic
459#107×C47C2311yescharacteristic
460#106×C47C2311yescharacteristic
461#106×C47C2311yescharacteristic
462#106×C47C2311yescharacteristic
463#106×C47C2311yescharacteristic
464#106×C47C2311yescharacteristic
465#106×C47C2311yescharacteristic
466C4⋊C8×C47C2311yescharacteristic
467C4⋊C8×C47C2311yescharacteristic
468C4⋊C8×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—
479C2×Q8×C47—21no—
480C2×Q8×C47—21no—
481C2×Q8×C47—21no—
482C2×Q8×C47—21no—
483C2×Q8×C47—82no—
484C2×Q8×C47C2×D411yescharacteristic
485C2×D4×C47C2411yescharacteristic
486C2×D4×C47C2411yescharacteristic
487C22×C4×C47—21no—
488C22×C4×C47—21no—
489C22×C4×C47—21no—
490C22×C4×C47—21no—
491C22×C4×C47—21no—
492C22×C4×C47—21no—
493C2×C22⋊D47—21no—
494C2×C22⋊D47—21no—
495C2×C22⋊D47—21no—
496C2×C22⋊D47—21no—
497C2×C22⋊D47—21no—
498C2×C22⋊D47—21no—
499C22×Dic47—21no—
500C22×Dic47—21no—
501C22×Dic47—21no—
502#10625354—82no—
503Q8×D47—82no—
504D4×D47—22no—
505D4×D47—22no—
506#10625350—82no—
507C2×D188—21no—
508C2×D188—21no—
509C2×D188—21no—
510C2×D188—21no—
511C2×D188C2411yescharacteristic
512C2×D188C2411yescharacteristic
513C2×D188C2411yescharacteristic
514C2×C4×D47—21no—
515C2×C4×D47—21no—
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—21no—
524C2×C4×D47—21no—
525C2×C4×D47—21no—
526C2×C4×D47—21no—
527C2×C4×D47—82no—
528C2×C4×D47C2×D411yescharacteristic
529C2×C4×D47C2×D411yescharacteristic
530C2×C4×D47C2411yescharacteristic
531C2×Dic94—21no—
532C2×Dic94—21no—
533C2×Dic94—21no—
534C2×Dic94—21no—
535C2×Dic94—21no—
536C2×Dic94—82no—
537C2×Dic94C2×D411yescharacteristic
538C2×Dic94C2×D411yescharacteristic
539C2×Dic94C2×D411yescharacteristic
540C2×Dic94C2411yescharacteristic
541D8×C47—22no—
542C2×C8×C47C2411yescharacteristic
543C2×C8×C47C2411yescharacteristic
544C2×C8×C47C2411yescharacteristic
545C2×C8×C47C2411yescharacteristic
546C4⋊C4×C47—21no—
547C4⋊C4×C47—21no—
548C4⋊C4×C47—21no—
549C4⋊C4×C47—21no—
550C4⋊C4×C47—21no—
551C4⋊C4×C47—21no—
552C4⋊C4×C47—21no—
553C4⋊C4×C47—21no—
554C4⋊C4×C47C2×D411yescharacteristic
555C4⋊C4×C47C2×D411yescharacteristic
556C4⋊C4×C47C2×D411yescharacteristic
557C4⋊C4×C47C2411yescharacteristic
558C4⋊C4×C47C2411yescharacteristic
559C4⋊C4×C47C2411yescharacteristic
560C4⋊C4×C47C2411yescharacteristic
561C4⋊C4×C47C2411yescharacteristic
562C4⋊C4×C47C2411yescharacteristic
563C22⋊C4×C47—21no—
564C22⋊C4×C47—21no—
565C22⋊C4×C47—21no—
566C22⋊C4×C47—21no—
567C22⋊C4×C47—21no—
568C22⋊C4×C47—21no—
569C42×C47C2411yescharacteristic
570C42×C47C2411yescharacteristic
571C42×C47C2411yescharacteristic
572C22⋊Dic47—21no—
573C22⋊Dic47—21no—
574C22⋊Dic47—21no—
575C22⋊Dic47—21no—
576C22⋊Dic47—21no—
577C22⋊Dic47—21no—
578#10625335—22no—
579#10625334—22no—
580#10625334—22no—
581#10625334—22no—
582(C2×D47)⋊C4—21no—
583(C2×D47)⋊C4—21no—
584(C2×D47)⋊C4—21no—
585(C2×D47)⋊C4—21no—
586(C2×D47)⋊C4—21no—
587(C2×D47)⋊C4—21no—
588(C2×D47)⋊C4—21no—
589(C2×D47)⋊C4—21no—
590(C2×D47)⋊C4—21no—
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)⋊C4—21no—
601(C2×D47)⋊C4—21no—
602(C2×D47)⋊C4—21no—
603(C2×D47)⋊C4C2×D411yescharacteristic
604(C2×D47)⋊C4C2×D411yescharacteristic
605(C2×D47)⋊C4C2×D411yescharacteristic
606(C2×D47)⋊C4C2×D411yescharacteristic
607C4⋊Dic47—21no—
608C4⋊Dic47—21no—
609C4⋊Dic47—21no—
610C4⋊Dic47—21no—
611C4⋊Dic47—21no—
612C4⋊Dic47—21no—
613C4⋊Dic47—21no—
614C4⋊Dic47C2×D411yescharacteristic
615C4⋊Dic47C2×D411yescharacteristic
616C4⋊Dic47C2×D411yescharacteristic
617C4⋊Dic47C2411yescharacteristic
618C4⋊Dic47C2411yescharacteristic
619C4⋊Dic47C2411yescharacteristic
620C4⋊Dic47C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
639Dic47⋊C4C2×D411yescharacteristic
640Dic47⋊C4C2×D411yescharacteristic
641Dic47⋊C4C2×D411yescharacteristic
642Dic47⋊C4C2×D411yescharacteristic
643Dic47⋊C4C2×D411yescharacteristic
644Dic47⋊C4C2×D411yescharacteristic
645Dic47⋊C4C2×D411yescharacteristic
646Dic47⋊C4C2×D411yescharacteristic
647Dic47⋊C4C2×D411yescharacteristic
648C4×Dic47—21no—
649C4×Dic47—21no—
650C4×Dic47—21no—
651C4×Dic47—21no—
652C4×Dic47—21no—
653C4×Dic47C2×D411yescharacteristic
654C4×Dic47C2×D411yescharacteristic
655C4×Dic47C2411yescharacteristic
656C4×Dic47C2411yescharacteristic
657C4×Dic47C2411yescharacteristic
658C2×C47⋊C8C2411yescharacteristic
659C2×C47⋊C8C2411yescharacteristic
660C2×C47⋊C8C2411yescharacteristic
661C2×C47⋊C8C2411yescharacteristic
662D376—22no—
663D376—22no—
664#10625325—22no—
665C23×C47—21no—
666C23×C47—21no—
667C22×D47—21no—
668C22×D47—24no—
669C22×D47—21no—
670C22×D47—21no—
671C22×D47—81no—
672C22×D47—81no—
673C22×D47C22×D411yescharacteristic
674Q8×C47—41no—
675Q8×C47—42no—
676Q8×C47—81no—
677Q8×C47—81no—
678Q8×C47—81no—
679D4×C47—21no—
680D4×C47—21no—
681D4×C47—21no—
682D4×C472−1+412yes—
683C2×C4×C47—21no—
684C2×C4×C47—21no—
685C2×C4×C47—21no—
686C2×C4×C47—21no—
687C2×C4×C47—21no—
688C2×C4×C47—21no—
689C2×C4×C47—42no—
690C2×C4×C47—81no—
691C2×C4×C47—81no—
692C2×C4×C47—81no—
693C2×C4×C47—81no—
694C2×C4×C47—81no—
695C2×C4×C47C22×D411yescharacteristic
696C2×C4×C47C22×D411yescharacteristic
697C2×C4×C47C22×D411yescharacteristic
698C2×C4×C47C22×D411yescharacteristic
699C2×C4×C47C22×D411yescharacteristic
700C2×C4×C47C22×D411yescharacteristic
701C2×C4×C47C2511yescharacteristic
702C22⋊D47—24no—
703C22⋊D47—81no—
704C22⋊D47—81no—
705C22⋊D47—81no—
706C22⋊D47—81no—
707C22⋊D47—81no—
708C2×Dic47—21no—
709C2×Dic47—21no—
710C2×Dic47—21no—
711C2×Dic47—21no—
712C2×Dic47—21no—
713C2×Dic47—42no—
714C2×Dic47—81no—
715C2×Dic47—81no—
716C2×Dic47C22×D411yescharacteristic
717C2×Dic47C22×D411yescharacteristic
718C2×Dic47C22×D411yescharacteristic
719C2×Dic47C22×D411yescharacteristic
720C2×Dic47C22×D411yescharacteristic
721C2×Dic47C22×D411yescharacteristic
722C2×Dic47C22×D411yescharacteristic
723D188—21no—
724D188—21no—
725D188—21no—
726D188—21no—
727D188—21no—
728D188—42no—
729D188—81no—
730D188—81no—
731D188—81no—
732D1882−1+412yes—
733C4×D47—21no—
734C4×D47—21no—
735C4×D47—41no—
736C4×D47—41no—
737C4×D47—42no—
738C4×D47—81no—
739C4×D47—81no—
740C4×D47—81no—
741C4×D47—81no—
742C4×D47—81no—
743C4×D47—81no—
744C4×D47—81no—
745C4×D47—81no—
746C4×D47—81no—
747C4×D47—81no—
748C4×D47—81no—
749C4×D47—81no—
750Dic94—21no—
751Dic94—21no—
752Dic94—41no—
753Dic94—41no—
754Dic94—41no—
755Dic94—42no—
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×C47C23×D411yescharacteristic
776C2×D47—21no—
777C2×D47—21no—
778C2×D47—21no—
779C2×D47—22no—
780C2×D47—41no—
781C2×D47—41no—
782C2×D47—41no—
783C2×D47—41no—
784C2×D47—41no—
785C2×D47—41no—
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×C47—41no—
800C4×C47—41no—
801C4×C47C2×2−1+411yescharacteristic
802C4×C47C2×2−1+411yescharacteristic
803Dic47—21no—
804Dic47—21no—
805Dic47—21no—
806Dic47—21no—
807Dic47—21no—
808Dic47—21no—
809Dic47—21no—
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#3384D4711yescharacteristic, complemented
825#3373—471no—
826#3373—471no—
827#3370—471no—
828#3370—471no—
829#3370—471no—
830#3370—471no—
831#3366—471no—
832#3366—471no—
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#348611yescharacteristic
849C2×C47#358511yescharacteristic
850C2×C47#358511yescharacteristic
851D47—41no—
852D47—42no—
853D47—81no—
854D47—81no—
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#550—471no—
873D4×Q8—471no—
874D4×Q8—471no—
875D4×Q8—941no—
876D4×Q8C2×D4711yescharacteristic, complemented
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#501C2×D4711yescharacteristic, complemented
907#501C2×D4711yescharacteristic, complemented
908#499—471no—
909#499—471no—
910#498—471no—
911#498C2×D4711yescharacteristic, complemented
912#490—471no—
913#490—471no—
914#490—471no—
915#490—471no—
916#489—471no—
917#489—471no—
918#489—471no—
919#489—471no—
920#488—471no—
921#488—471no—
922#486—471no—
923#486—471no—
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#476C2×D4711yescharacteristic
962#476C2×D4711yescharacteristic
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#474C2×D4711yescharacteristic
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#459—471no—
982#459—471no—
983#459—471no—
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—941no—
1028C2×#41—941no—
1029C22×Q8—21no—
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×D8—471no—
1040C2×D8—471no—
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—941no—
1050C4⋊Q8—941no—
1051C4⋊Q8—941no—
1052C4⋊Q8C22×D4711yescharacteristic
1053C4⋊Q8C22×D4711yescharacteristic
1054C4⋊Q8C22×D4711yescharacteristic
1055C4⋊Q8C22×D4711yescharacteristic
1056#127—471no—
1057#127—471no—
1058#127—471no—
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—21no—
1103C22⋊Q8—21no—
1104C22⋊Q8—21no—
1105C22⋊Q8—471no—
1106C22⋊Q8—471no—
1107C22⋊Q8—471no—
1108C22⋊Q8—471no—
1109C22⋊Q8—471no—
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—471no—
1146#121—471no—
1147#121—471no—
1148#121—941no—
1149#121—941no—
1150#121—941no—
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#107C22×D4711yescharacteristic
1226#107C22×D4711yescharacteristic
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#106C22×D4711yescharacteristic
1237#106C22×D4711yescharacteristic
1238#106C22×D4711yescharacteristic
1239#106C22×D4711yescharacteristic
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#102—471no—
1277#102—471no—
1278#102—471no—
1279#102—471no—
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—3762no—
1304#41—3762no—
1305C2×Q8—21no—
1306C2×Q8—21no—
1307C2×Q8—21no—
1308C2×Q8—21no—
1309C2×Q8—82no—
1310C2×Q8—471no—
1311C2×Q8—471no—
1312C2×Q8—471no—
1313C2×Q8—471no—
1314C2×Q8—941no—
1315C2×Q8—941no—
1316C2×Q8—941no—
1317C2×Q8—941no—
1318C2×Q8—941no—
1319C2×Q8—3762no—
1320C2×Q8—3762no—
1321C2×Q8D4×D4711yescharacteristic
1322C2×D4—471no—
1323C2×D4—471no—
1324C2×D4—471no—
1325C2×D4—941no—
1326C2×D4—941no—
1327C2×D4—941no—
1328C2×D4—941no—
1329C2×D4—941no—
1330C2×D4—941no—
1331C2×D4—941no—
1332C2×D4—942no—
1333C2×D4—942no—
1334C2×D4—941no—
1335C2×D4—941no—
1336C2×D4—941no—
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—942no—
1369D8—942no—
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—21no—
1387C4⋊C4—21no—
1388C4⋊C4—21no—
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—471no—
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⋊C4D4×D4711yescharacteristic
1431C4⋊C4D4×D4711yescharacteristic
1432C4⋊C4D4×D4711yescharacteristic
1433C4⋊C4C23×D4711yescharacteristic
1434C4⋊C4C23×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—471no—
1492C23—944no—
1493C23—941no—
1494C23—941no—
1495C23—941no—
1496C23—3761no—
1497C23—3761no—
1498Q8—41no—
1499Q8—42no—
1500Q8—81no—
1501Q8—81no—
1502Q8—81no—
1503Q8—941no—
1504Q8—941no—
1505Q8—3761no—
1506Q8—3761no—
1507Q8—3761no—
1508Q8—3761no—
1509Q8—1881no—
1510Q8—1881no—
1511Q8—1881no—
1512Q8—1882no—
1513D4—21no—
1514D4—21no—
1515D4—21no—
1516D4—472no—
1517D4—944no—
1518D4—941no—
1519D4—941no—
1520D4—941no—
1521D4—941no—
1522D4—941no—
1523D4—3761no—
1524D4—3761no—
1525D4—3761no—
1526D4—3761no—
1527D4—3761no—
1528D4—3761no—
1529D4—3761no—
1530D4—3761no—
1531D4—1882no—
1532D4#1309407212yes—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—42no—
1540C2×C4—81no—
1541C2×C4—81no—
1542C2×C4—81no—
1543C2×C4—81no—
1544C2×C4—81no—
1545C2×C4—471no—
1546C2×C4—471no—
1547C2×C4—471no—
1548C2×C4—471no—
1549C2×C4—471no—
1550C2×C4—471no—
1551C2×C4—471no—
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—941no—
1599C22—942no—
1600C22—941no—
1601C22—941no—
1602C22—3764no—
1603C22—1881no—
1604C22—1881no—
1605C22—1881no—
1606C22—1881no—
1607C22—1881no—
1608C22—1881no—
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—41no—
1623C4—41no—
1624C4—941no—
1625C4—941no—
1626C4—941no—
1627C4—941no—
1628C4—941no—
1629C4—941no—
1630C4—941no—
1631C4—1881no—
1632C4—1881no—
1633C4—1881no—
1634C4—1881no—
1635C4—1881no—
1636C42−1+4×D4711yescharacteristic
1637C4C2×#1309407211yescharacteristic
1638C2—42no—
1639C2—81no—
1640C2—3761no—
1641C2—3761no—
1642C2—1881no—
1643C2—1882no—
1644C2#2025703811yescharacteristic
1645C2#2025816411yescharacteristic
1646C2#2025816611yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3384C2
socleC22×C47C23×D4
hypercenter#3384D47
hypocenterC47#61872
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3384

Complements

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

NH ≅ G/Ntype
1. #20257860C2semidirect
2. #20257187C2semidirect
3. #20256343C2semidirect
4. #20256341C2semidirect
5. #20256328C2semidirect
6. #20256326C2semidirect
7. #20256292C2semidirect
8. #20256286C2semidirect
9. #20256283C2semidirect
10. #20256183C2semidirect
11. #20256181C2semidirect
12. #20256143C2semidirect
13. #20256141C2semidirect
14. #20256139C2semidirect
15. #20256137C2semidirect
16. #20256098C2semidirect
17. #20256096C2semidirect
18. #20254689C2semidirect
19. #20254687C2semidirect
20. #20254640C2semidirect
21. #20254638C2semidirect
22. #20254627C2semidirect
23. #20254587C2semidirect
24. #20253630C2semidirect
25. #20253628C2semidirect
26. #20253579C2semidirect
27. #20253577C2semidirect
28. #20253524C2semidirect
29. #20253481C2semidirect
30. #20252491C2semidirect
31. C47×#3384C2semidirect
34. #15689858C22semidirect
35. #15689856C22semidirect
36. #15689856C22semidirect
37. #15689848C22semidirect
38. #15689834C22semidirect
39. #15689834C22semidirect
48. #15689794C22semidirect
75. #15689531C22semidirect
76. #15689530C22semidirect
77. #15689530C22semidirect
78. #15689530C22semidirect
79. #15689529C22semidirect
80. #15689529C22semidirect
81. #15689524C22semidirect
82. #15689523C22semidirect
83. #15689519C22semidirect
84. #15689489C22semidirect
85. #15689488C22semidirect
86. #15689486C22semidirect
87. #15689486C22semidirect
88. #15689485C22semidirect
89. #15689483C22semidirect
90. #15689481C22semidirect
91. #15689481C22semidirect
92. #15689480C22semidirect
93. #15689478C22semidirect
94. #15689468C22semidirect
95. #15689468C22semidirect
108. #15689433C22semidirect
109. #15689431C22semidirect
110. #15689429C22semidirect
111. #15689427C22semidirect
113. #15689426C22semidirect
115. #15689424C22semidirect
116. #15689423C22semidirect
117. #15689423C22semidirect
120. #15689422C22semidirect
123. #15689420C22semidirect
124. #15689413C22semidirect
125. #15689412C22semidirect
126. #15689412C22semidirect
127. #15689412C22semidirect
128. #15689412C22semidirect
131. #15689407C22semidirect
132. #15689407C22semidirect
133. #15689404C22semidirect
134. #15689402C22semidirect
135. #15689402C22semidirect
137. #15689400C22semidirect
154. #15689254C22semidirect
155. #15689253C22semidirect
156. #15689252C22semidirect
157. #15689252C22semidirect
158. #15689251C22semidirect
159. #15689251C22semidirect
160. #15689250C22semidirect
189. D4×Q8×C47C22semidirect
190. C47×#501C22semidirect
191. C47×#501C22semidirect
192. C47×#498C22semidirect
193. C47×#478C22semidirect
194. C47×#478C22semidirect
197. C47×#476C22semidirect
199. C47×#446C22semidirect
824. #3384D47semidirect
876. D4×Q8C2×D47semidirect
906. #501C2×D47semidirect
907. #501C2×D47semidirect
911. #498C2×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
#202578602
#202571872
#202563432
#202563412
#202563282
#202563262
#202562922
#202562862
#202562832
#202561832
#202561812
#202561432
#202561412
#202561392
#202561372
#202560982
#202560962
#202546892
#202546872
#202546402
#202546382
#202546272
#202545872
#202536302
#202536282
#202535792
#202535772
#202535242
#202534812
#202524912
C47×#33842
#6187247