Finite Group Databasebeta

← #27106943

Subgroups — #27106943

Order 12032.

1730 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#20257849C211yesmaximal, characteristic, complemented
2#20257186C211yesmaximal, characteristic, complemented
3#20256347C211yesmaximal, characteristic, complemented
4#20256345C211yesmaximal, characteristic, complemented
5#20256304C211yesmaximal, characteristic, complemented
6#20256288C211yesmaximal, characteristic, complemented
7#20256258C211yesmaximal, characteristic, complemented
8#20256253C211yesmaximal, characteristic, complemented
9#20256250C211yesmaximal, characteristic, complemented
10D8×Dic94C211yesmaximal, characteristic, complemented
11#20256181C211yesmaximal, characteristic, complemented
12#20256146C211yesmaximal, characteristic, complemented
13#20256134C211yesmaximal, characteristic, complemented
14#20256090C211yesmaximal, characteristic, complemented
15#20256052C211yesmaximal, characteristic, complemented
16#20256049C211yesmaximal, characteristic, complemented
17#20256049C211yesmaximal, characteristic, complemented
18#20256018C211yesmaximal, characteristic, complemented
19#20254673C211yesmaximal, characteristic, complemented
20#20254669C211yesmaximal, characteristic, complemented
21#20254647C211yesmaximal, characteristic, complemented
22#20254635C211yesmaximal, characteristic, complemented
23#20254564C211yesmaximal, characteristic, complemented
24#20254522C211yesmaximal, characteristic, complemented
25#20253625C211yesmaximal, characteristic, complemented
26#20253572C211yesmaximal, characteristic, complemented
27#20253565C211yesmaximal, characteristic, complemented
28#20253430C211yesmaximal, characteristic, complemented
29#20253383C211yesmaximal, characteristic, complemented
30#20252487C211yesmaximal, characteristic, complemented
31C47×#3122C211yesmaximal, characteristic, complemented
32#15689868—21no—
33#15689868—21no—
34#15689859C2211yescharacteristic, complemented
35#15689856C2211yescharacteristic, complemented
36#15689856C2211yescharacteristic, complemented
37#15689850C2211yescharacteristic, complemented
38#15689832—21no—
39#15689832—21no—
40#15689832C2211yescharacteristic
41#15689832C2211yescharacteristic
42#15689832C2211yescharacteristic
43#15689832C2211yescharacteristic
44#15689830—21no—
45#15689830C2211yescharacteristic
46#15689830C2211yescharacteristic
47#15689830C2211yescharacteristic, complemented
48#15689829C2211yescharacteristic, complemented
49#15689793C2211yescharacteristic, complemented
50D4×Dic94—21no—
51D4×Dic94C2211yescharacteristic
52D4×Dic94C2211yescharacteristic
53D4×Dic94C2211yescharacteristic, complemented
54#15689779—21no—
55#15689773—21no—
56#15689751C2211yescharacteristic
57#15689751C2211yescharacteristic
58#15689749—21no—
59#15689749—21no—
60#15689744C2211yescharacteristic
61#15689741—21no—
62#15689740C2211yescharacteristic
63#15689726C2211yescharacteristic
64#15689717—21no—
65#15689716—21no—
66#15689695—21no—
67#15689676C2211yescharacteristic
68#15689676C2211yescharacteristic
69#15689668C2211yescharacteristic
70#15689654C2211yescharacteristic
71C2×#13094001—21no—
72C2×#13094001—21no—
73#15689598C2211yescharacteristic
74C2×D4×Dic47C2211yescharacteristic
75#15689533C2211yescharacteristic, complemented
76#15689532C2211yescharacteristic, complemented
77#15689530C2211yescharacteristic, complemented
78#15689530C2211yescharacteristic, complemented
79#15689528C2211yescharacteristic, complemented
80#15689527C2211yescharacteristic, complemented
81#15689527C2211yescharacteristic, complemented
82#15689524C2211yescharacteristic, complemented
83#15689524C2211yescharacteristic, complemented
84#15689523C2211yescharacteristic, complemented
85#15689522C2211yescharacteristic, complemented
86#15689520C2211yescharacteristic, complemented
87#15689487C2211yescharacteristic, complemented
88#15689486C2211yescharacteristic, complemented
89#15689483C2211yescharacteristic, complemented
90#15689481C2211yescharacteristic, complemented
91#15689478C2211yescharacteristic, complemented
92#15689476C2211yescharacteristic, complemented
93#15689476C2211yescharacteristic, complemented
94#15689476C2211yescharacteristic, complemented
95#15689469C2211yescharacteristic, complemented
96#15689468C2211yescharacteristic, complemented
97#15689468C2211yescharacteristic, complemented
98#15689468C2211yescharacteristic, complemented
99#15689465C2211yescharacteristic
100#15689464C2211yescharacteristic
101#15689459C2211yescharacteristic
102#15689448C2211yescharacteristic
103#15689447C2211yescharacteristic
104#15689444C2211yescharacteristic
105#15689444C2211yescharacteristic
106#15689439C2211yescharacteristic
107#15689437C2211yescharacteristic
108#15689434C2211yescharacteristic
109#15689433C2211yescharacteristic, complemented
110#15689431C2211yescharacteristic, complemented
111#15689426C2211yescharacteristic, complemented
112#15689426C2211yescharacteristic, complemented
113#15689425C2211yescharacteristic
114#15689425C2211yescharacteristic, complemented
115#15689424C2211yescharacteristic, complemented
116#15689423C2211yescharacteristic, complemented
117#15689423C2211yescharacteristic, complemented
118#15689422C2211yescharacteristic, complemented
119#15689421C2211yescharacteristic
120#15689421C2211yescharacteristic
121#15689421C2211yescharacteristic
122#15689421C2211yescharacteristic, complemented
123#15689421C2211yescharacteristic, complemented
124#15689421C2211yescharacteristic, complemented
125#15689419C2211yescharacteristic, complemented
126#15689417C2211yescharacteristic, complemented
127#15689417C2211yescharacteristic, complemented
128#15689413C2211yescharacteristic
129#15689413C2211yescharacteristic, complemented
130#15689412C2211yescharacteristic, complemented
131#15689411C2211yescharacteristic
132#15689411C2211yescharacteristic, complemented
133#15689407C2211yescharacteristic, complemented
134#15689404C2211yescharacteristic, complemented
135#15689403C2211yescharacteristic
136#15689403C2211yescharacteristic, complemented
137#15689401C2211yescharacteristic
138#15689401C2211yescharacteristic
139#15689401C2211yescharacteristic
140#15689401C2211yescharacteristic, complemented
141#15689401C2211yescharacteristic, complemented
142#15689401C2211yescharacteristic, complemented
143#15689338C2211yescharacteristic
144#15689338C2211yescharacteristic
145#15689336C2211yescharacteristic
146#15689336C2211yescharacteristic
147#15689336C2211yescharacteristic
148#15689336C2211yescharacteristic
149#15689316C2211yescharacteristic
150#15689316C2211yescharacteristic
151#15689316C2211yescharacteristic
152#15689316C2211yescharacteristic
153#15689274C2211yescharacteristic
154#15689257C2211yescharacteristic
155#15689252C2211yescharacteristic, complemented
156#15689252C2211yescharacteristic, complemented
157#15689251C2211yescharacteristic, complemented
158#15689251C2211yescharacteristic, complemented
159C8×Dic94C2211yescharacteristic, complemented
160C8×Dic94C2211yescharacteristic, complemented
161#15689247C2211yescharacteristic, complemented
162#15689247C2211yescharacteristic, complemented
163#15689235C2211yescharacteristic
164#15689235C2211yescharacteristic
165#15689233C2211yescharacteristic
166#15689232C2211yescharacteristic
167#15689223C2211yescharacteristic
168#15689220C2211yescharacteristic
169#15689214C2211yescharacteristic
170#15689214C2211yescharacteristic
171#15689214C2211yescharacteristic
172C4×#10625335C2211yescharacteristic
173D8×Dic47C2211yescharacteristic
174D8×Dic47C2211yescharacteristic
175D8×Dic47C2211yescharacteristic
176D8×Dic47C2211yescharacteristic
177D8×Dic47C2211yescharacteristic
178D8×Dic47C2211yescharacteristic
179C4×#10625334C2211yescharacteristic
180#15689203C2211yescharacteristic
181#15689203C2211yescharacteristic
182#15689203C2211yescharacteristic
183#15689184C2211yescharacteristic
184#15689181C2211yescharacteristic
185#15689181C2211yescharacteristic
186#15689173C2211yescharacteristic
187#15689173C2211yescharacteristic
188C47×#540C2211yescharacteristic
189C47×#518C2211yescharacteristic
190C47×#482C2211yescharacteristic
191C47×#482C2211yescharacteristic
192C47×#478C2211yescharacteristic
193C47×#478C2211yescharacteristic
194C47×#459C2211yescharacteristic
195C47×#459C2211yescharacteristic
196C47×#447C2211yescharacteristic
197C47×#447C2211yescharacteristic
198C47×#442C2211yescharacteristic
199C47×#442C2211yescharacteristic
200C4×D8×C47C2211yescharacteristic
201C4×D8×C47C2211yescharacteristic
202C47×#433C2211yescharacteristic
203C2×#10625352—21no—
204C2×#10625352—21no—
205C22×Dic94—21no—
206C22×Dic94—21no—
207C22×Dic94—21no—
208C23×Dic47—21no—
209C2×#10625335C2311yescharacteristic
210C2×#10625335C2311yescharacteristic
211C2×#10625334C2311yescharacteristic
212C2×#10625334C2311yescharacteristic
213#13094024—21no—
214#13094024C2311yescharacteristic
215#13094024C2311yescharacteristic
216#13094024C2311yescharacteristic
217#13094023—21no—
218#13094023—21no—
219#13094023D411yescharacteristic
220#13094023D411yescharacteristic
221#13094023C2311yescharacteristic
222#13094023C2311yescharacteristic
223#13094023C2311yescharacteristic
224#13094023C2311yescharacteristic
225#13094023C2311yescharacteristic
226#13094023C2311yescharacteristic
227#13094020C2311yescharacteristic
228#13094020C2311yescharacteristic
229#13094019—21no—
230#13094017—21no—
231#13094017—21no—
232#13094016—21no—
233#13094016C2311yescharacteristic
234#13094016C2311yescharacteristic
235#13094015—21no—
236#13094015D411yescharacteristic
237#13094015D411yescharacteristic
238#13094015C2311yescharacteristic
239#13094015C2311yescharacteristic
240#13094015C2311yescharacteristic
241#13094015C2311yescharacteristic
242#13094015C2311yescharacteristic
243#13094015C2311yescharacteristic
244#13094014—21no—
245#13094014—21no—
246#13094012C2311yescharacteristic
247#13094011—21no—
248#13094011—21no—
249#13094011C2311yescharacteristic
250#13094011C2311yescharacteristic
251#13094010—21no—
252#13094010—21no—
253#13094010—21no—
254#13094010—21no—
255#13094008—21no—
256#13094007—21no—
257#13094007—21no—
258#13094006—21no—
259#13094006—21no—
260#13094006—21no—
261#13094006—21no—
262#13094005—21no—
263#13094005—21no—
264#13094005—21no—
265#13094005—21no—
266#13094004—21no—
267#13094003—21no—
268#13094003—21no—
269#13094003—21no—
270#13094003—21no—
271#13094003—21no—
272#13094003—21no—
273#13094003—21no—
274#13094003—21no—
275#13094003—21no—
276#13094003—21no—
277#13094003C2311yescharacteristic
278#13094002—21no—
279#13094002—21no—
280#13094002—21no—
281#13094001—21no—
282#13094001—21no—
283#13094001—21no—
284#13094001—21no—
285#13094001—21no—
286#13094001—21no—
287#13094001—21no—
288#13094001—21no—
289#13094001—21no—
290#13094001—21no—
291#13094001—21no—
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#13094001—21no—
305#13094001—21no—
306#13094001—21no—
307#13094001—21no—
308#13094001D411yescharacteristic
309#13094001D411yescharacteristic
310#13094001D411yescharacteristic
311#13094001D411yescharacteristic
312#13093998C2311yescharacteristic
313#13093996—21no—
314#13093996—21no—
315#13093996—21no—
316#13093996—21no—
317#13093995—21no—
318#13093995—21no—
319C4×Dic94—21no—
320C4×Dic94—21no—
321C4×Dic94C2311yescharacteristic
322C4×Dic94C2311yescharacteristic
323C4×Dic94C2311yescharacteristic
324C4×Dic94C2311yescharacteristic
325C4×Dic94C2311yescharacteristic
326#13093989—21no—
327#13093989C2311yescharacteristic
328#13093989C2311yescharacteristic
329C4×D188C2311yescharacteristic
330D4×Dic47—21no—
331D4×Dic47—21no—
332D4×Dic47—21no—
333D4×Dic47—21no—
334D4×Dic47—21no—
335D4×Dic47—21no—
336D4×Dic47C2311yescharacteristic
337D4×Dic47C2311yescharacteristic
338D4×Dic47C2311yescharacteristic
339D4×Dic47C2311yescharacteristic
340D4×Dic47C2311yescharacteristic
341D4×Dic47C2311yescharacteristic
342D4×Dic47C2311yescharacteristic
343D4×Dic47C2311yescharacteristic
344D4×Dic47C2311yescharacteristic
345D4×Dic47C2311yescharacteristic
346D4×Dic47C2311yescharacteristic
347D4×Dic47C2311yescharacteristic
348#13093986C2311yescharacteristic
349#13093986C2311yescharacteristic
350C4×C22⋊D47—21no—
351C4×C22⋊D47—21no—
352(C22⋊D47)⋊C4—21no—
353#13093983C2311yescharacteristic
354#13093983C2311yescharacteristic
355#13093980—21no—
356C2×C4⋊Dic47—21no—
357C2×C4⋊Dic47—21no—
358C2×C4⋊Dic47—21no—
359C2×C4⋊Dic47C2311yescharacteristic
360C2×Dic47⋊C4—21no—
361C2×Dic47⋊C4—21no—
362C2×Dic47⋊C4—21no—
363C2×Dic47⋊C4—21no—
364C4⋊C4×D47—21no—
365C2×C22⋊Dic47—21no—
366C2×C22⋊Dic47—21no—
367C2×C22⋊Dic47—21no—
368C2×C4×Dic47C2311yescharacteristic
369#13093958C2311yescharacteristic
370#13093958C2311yescharacteristic
371#13093958C2311yescharacteristic
372#13093958C2311yescharacteristic
373#13093958C2311yescharacteristic
374#13093958C2311yescharacteristic
375#13093957C2311yescharacteristic
376#13093957C2311yescharacteristic
377#13093957C2311yescharacteristic
378#13093957C2311yescharacteristic
379#13093957C2311yescharacteristic
380#13093957C2311yescharacteristic
381#13093956C2311yescharacteristic
382#13093956C2311yescharacteristic
383#13093955C2311yescharacteristic
384#13093955C2311yescharacteristic
385#13093955C2311yescharacteristic
386#13093955C2311yescharacteristic
387#13093955C2311yescharacteristic
388#13093955C2311yescharacteristic
389C4⋊(C47⋊C8)C2311yescharacteristic
390C4⋊(C47⋊C8)C2311yescharacteristic
391Dic47⋊C8C2311yescharacteristic
392Dic47⋊C8C2311yescharacteristic
393Dic47⋊C8C2311yescharacteristic
394Dic47⋊C8C2311yescharacteristic
395Dic47⋊C8C2311yescharacteristic
396Dic47⋊C8C2311yescharacteristic
397Dic47⋊C8C2311yescharacteristic
398Dic47⋊C8C2311yescharacteristic
399#13093949C2311yescharacteristic
400#13093949C2311yescharacteristic
401#13093949C2311yescharacteristic
402#13093949C2311yescharacteristic
403#13093947C2311yescharacteristic
404#13093947C2311yescharacteristic
405#13093946C2311yescharacteristic
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#13093944C2311yescharacteristic
423C22⋊(C47⋊C8)C2311yescharacteristic
424C22⋊(C47⋊C8)C2311yescharacteristic
425#13093935C2311yescharacteristic
426#13093934C2311yescharacteristic
427#13093934C2311yescharacteristic
428C4×C47⋊C8C2311yescharacteristic
429C8×Dic47C2311yescharacteristic
430C8×Dic47C2311yescharacteristic
431C8×Dic47C2311yescharacteristic
432C8×Dic47C2311yescharacteristic
433C8×Dic47C2311yescharacteristic
434C8×Dic47C2311yescharacteristic
435C22×D4×C47C2311yescharacteristic
436C2×D8×C47C2311yescharacteristic
437C2×D8×C47C2311yescharacteristic
438C2×D8×C47C2311yescharacteristic
439C2×D8×C47C2311yescharacteristic
440#127×C47C2311yescharacteristic
441#125×C47C2311yescharacteristic
442#123×C47—21no—
443#123×C47—21no—
444#121×C47—21no—
445#121×C47—21no—
446#121×C47C2311yescharacteristic
447#121×C47C2311yescharacteristic
448C4×D4×C47—21no—
449C4×D4×C47—21no—
450C4×D4×C47C2311yescharacteristic
451C4×D4×C47C2311yescharacteristic
452C4×D4×C47C2311yescharacteristic
453C4×D4×C47C2311yescharacteristic
454C4×D4×C47C2311yescharacteristic
455C4×D4×C47C2311yescharacteristic
456#117×C47C2311yescharacteristic
457#117×C47C2311yescharacteristic
458C2×C22⋊C4×C47—21no—
459C2×C22⋊C4×C47—21no—
460#107×C47C2311yescharacteristic
461#107×C47C2311yescharacteristic
462#106×C47C2311yescharacteristic
463#106×C47C2311yescharacteristic
464C4⋊C8×C47C2311yescharacteristic
465C4⋊C8×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
474C22⋊C8×C47C2311yescharacteristic
475C22⋊C8×C47C2311yescharacteristic
476#97×C47C2311yescharacteristic
477C4×C8×C47C2311yescharacteristic
478C24×C47—21no—
479C2×D4×C47—22no—
480C2×D4×C47—22no—
481C2×D4×C47—21no—
482C2×D4×C47—21no—
483C2×D4×C47—21no—
484C2×D4×C47—21no—
485C2×D4×C47—21no—
486C2×D4×C47C2411yescharacteristic
487C2×D4×C47C2411yescharacteristic
488C2×D4×C47C2411yescharacteristic
489C2×D4×C47C2411yescharacteristic
490C22×C4×C47—21no—
491C22×C4×C47—21no—
492C22×C4×C47—21no—
493C22×C4×C47—21no—
494C22×C4×C47—21no—
495C22×C4×C47—21no—
496C22×C4×C47C2411yescharacteristic
497C2×C22⋊D47—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—
511C22×Dic47—21no—
512C22×Dic47—21no—
513C22×Dic47—21no—
514C22×Dic47—21no—
515C22×Dic47—82no—
516C22×Dic47C2×D411yescharacteristic
517C22×Dic47C2×D411yescharacteristic
518#10625352—82no—
519#10625352—82no—
520C2×D188C2411yescharacteristic
521C2×C4×D47—21no—
522C2×C4×D47—21no—
523C2×C4×D47—21no—
524C2×Dic94—21no—
525C2×Dic94—21no—
526C2×Dic94—21no—
527C2×Dic94—21no—
528C2×Dic94—21no—
529C2×Dic94—21no—
530C2×Dic94—21no—
531C2×Dic94—21no—
532C2×Dic94—21no—
533C2×Dic94—82no—
534C2×Dic94—82no—
535C2×Dic94—82no—
536C2×Dic94C2×D411yescharacteristic
537C2×Dic94C2×D411yescharacteristic
538C2×Dic94C2×D411yescharacteristic
539C2×Dic94C2×D411yescharacteristic
540C2×Dic94C2411yescharacteristic
541D8×C47—22no—
542D8×C47—22no—
543D8×C47—22no—
544D8×C47—22no—
545C2×C8×C47C2411yescharacteristic
546C2×C8×C47C2411yescharacteristic
547C2×C8×C47C2411yescharacteristic
548C2×C8×C47C2411yescharacteristic
549C4⋊C4×C47—21no—
550C4⋊C4×C47—21no—
551C4⋊C4×C47C2×D411yescharacteristic
552C4⋊C4×C47C2×D411yescharacteristic
553C4⋊C4×C47C2411yescharacteristic
554C4⋊C4×C47C2411yescharacteristic
555C4⋊C4×C47C2411yescharacteristic
556C4⋊C4×C47C2411yescharacteristic
557C22⋊C4×C47—21no—
558C22⋊C4×C47—21no—
559C22⋊C4×C47—21no—
560C22⋊C4×C47—21no—
561C22⋊C4×C47—21no—
562C22⋊C4×C47—21no—
563C22⋊C4×C47—21no—
564C22⋊C4×C47—21no—
565C22⋊C4×C47—21no—
566C22⋊C4×C47C2×D411yescharacteristic
567C22⋊C4×C47C2×D411yescharacteristic
568C42×C47—21no—
569C42×C47C2411yescharacteristic
570C42×C47C2411yescharacteristic
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—
587C22⋊Dic47—21no—
588C22⋊Dic47—21no—
589C22⋊Dic47C2×D411yescharacteristic
590C22⋊Dic47C2×D411yescharacteristic
591#10625335—22no—
592#10625335—22no—
593#10625334—22no—
594#10625334—22no—
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—
601C4⋊Dic47—21no—
602C4⋊Dic47—21no—
603C4⋊Dic47—21no—
604C4⋊Dic47—21no—
605C4⋊Dic47—21no—
606C4⋊Dic47—21no—
607C4⋊Dic47—21no—
608C4⋊Dic47—21no—
609C4⋊Dic47—21no—
610C4⋊Dic47—21no—
611C4⋊Dic47C2×D411yescharacteristic
612C4⋊Dic47C2×D411yescharacteristic
613C4⋊Dic47C2×D411yescharacteristic
614C4⋊Dic47C2×D411yescharacteristic
615C4⋊Dic47C2×D411yescharacteristic
616C4⋊Dic47C2×D411yescharacteristic
617C4⋊Dic47C2411yescharacteristic
618C4⋊Dic47C2411yescharacteristic
619C4⋊Dic47C2411yescharacteristic
620C4⋊Dic47C2411yescharacteristic
621C4⋊Dic47C2411yescharacteristic
622C4⋊Dic47C2411yescharacteristic
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⋊C4—21no—
641Dic47⋊C4—21no—
642Dic47⋊C4—21no—
643Dic47⋊C4C2×D411yescharacteristic
644Dic47⋊C4C2×D411yescharacteristic
645Dic47⋊C4C2×D411yescharacteristic
646Dic47⋊C4C2×D411yescharacteristic
647Dic47⋊C4C2×D411yescharacteristic
648Dic47⋊C4C2×D411yescharacteristic
649Dic47⋊C4C2×D411yescharacteristic
650Dic47⋊C4C2×D411yescharacteristic
651C4×Dic47—21no—
652C4×Dic47—21no—
653C4×Dic47—21no—
654C4×Dic47—21no—
655C4×Dic47C2×D411yescharacteristic
656C4×Dic47C2×D411yescharacteristic
657C4×Dic47C2411yescharacteristic
658C4×Dic47C2411yescharacteristic
659C4×Dic47C2411yescharacteristic
660C4×Dic47C2411yescharacteristic
661C2×C47⋊C8C2411yescharacteristic
662C2×C47⋊C8C2411yescharacteristic
663C2×C47⋊C8C2411yescharacteristic
664C2×C47⋊C8C2411yescharacteristic
665C23×C47—24no—
666C23×C47—21no—
667C23×C47—21no—
668C23×C47—21no—
669C23×C47—21no—
670C23×C47—81no—
671C23×C47—81no—
672C23×C47C22×D411yescharacteristic
673C22×D47—21no—
674D4×C47—24no—
675D4×C47—21no—
676D4×C47—21no—
677D4×C47—21no—
678D4×C47—21no—
679D4×C47—21no—
680D4×C47—21no—
681D4×C47—81no—
682D4×C47—81no—
683D4×C47—81no—
684D4×C47—81no—
685D4×C472−1+412yes—
686D4×C472−1+412yes—
687C2×C4×C47—21no—
688C2×C4×C47—21no—
689C2×C4×C47—21no—
690C2×C4×C47—21no—
691C2×C4×C47—21no—
692C2×C4×C47—21no—
693C2×C4×C47—81no—
694C2×C4×C47—81no—
695C2×C4×C47—81no—
696C2×C4×C47—81no—
697C2×C4×C47—81no—
698C2×C4×C47—81no—
699C2×C4×C47C22×D411yescharacteristic
700C2×C4×C47C22×D411yescharacteristic
701C2×C4×C47C22×D411yescharacteristic
702C2×C4×C47C22×D411yescharacteristic
703C2×C4×C47C22×D411yescharacteristic
704C2×C4×C47C2511yescharacteristic
705C22⋊D47—42no—
706C22⋊D47—81no—
707C22⋊D47—81no—
708C22⋊D47—81no—
709C22⋊D47—81no—
710C2×Dic47—22no—
711C2×Dic47—21no—
712C2×Dic47—21no—
713C2×Dic47—21no—
714C2×Dic47—21no—
715C2×Dic47—21no—
716C2×Dic47—21no—
717C2×Dic47—21no—
718C2×Dic47—41no—
719C2×Dic47—42no—
720C2×Dic47—42no—
721C2×Dic47—42no—
722C2×Dic47—81no—
723C2×Dic47—81no—
724C2×Dic47—81no—
725C2×Dic47—81no—
726C2×Dic47—81no—
727C2×Dic47—81no—
728C2×Dic47—81no—
729C2×Dic47—81no—
730C2×Dic47—81no—
731C2×Dic47—81no—
732C2×Dic47C22×D411yescharacteristic
733C2×Dic47C22×D411yescharacteristic
734C2×Dic47C22×D411yescharacteristic
735C2×Dic47C22×D411yescharacteristic
736C2×Dic47C22×D411yescharacteristic
737C2×Dic47C22×D411yescharacteristic
738C2×Dic47C22×D411yescharacteristic
739C2×Dic47C22×D411yescharacteristic
740D188—21no—
741D188—21no—
742C4×D47—81no—
743C4×D47—81no—
744C4×D47—81no—
745Dic94—22no—
746Dic94—22no—
747Dic94—21no—
748Dic94—21no—
749Dic94—41no—
750Dic94—41no—
751Dic94—42no—
752Dic94—42no—
753Dic94—81no—
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#61863—471nomaximal, Sylow
769C22×C47—21no—
770C22×C47—21no—
771C22×C47—22no—
772C22×C47—22no—
773C22×C47—21no—
774C22×C47—41no—
775C22×C47—41no—
776C22×C47—41no—
777C22×C47—41no—
778C22×C47—41no—
779C22×C47—41no—
780C22×C47—41no—
781C22×C47—41no—
782C22×C47—41no—
783C22×C47—41no—
784C22×C47—84no—
785C22×C47C23×D411yescharacteristic
786C2×D47—41no—
787C2×D47—41no—
788C2×D47—41no—
789C4×C47—21no—
790C4×C47—21no—
791C4×C47—21no—
792C4×C47—21no—
793C4×C47—21no—
794C4×C47—41no—
795C4×C47—41no—
796C4×C47—41no—
797C4×C47—41no—
798C4×C47C2×2−1+411yescharacteristic
799C4×C47C2×2−1+411yescharacteristic
800Dic47—21no—
801Dic47—21no—
802Dic47—21no—
803Dic47—21no—
804Dic47—21no—
805Dic47—21no—
806Dic47—21no—
807Dic47—41no—
808Dic47—41no—
809Dic47—41no—
810Dic47—41no—
811Dic47—41no—
812Dic47—41no—
813Dic47—41no—
814Dic47#57612yes—
815#3554—471no—
816#3501—471no—
817#3389—471no—
818#3389—471no—
819#3386—471no—
820#3384—471no—
821#3381—471no—
822#3380—471no—
823#3380—471no—
824Q8×D8—471no—
825#3373—471no—
826#3370—471no—
827#3370—471no—
828#3366—471no—
829#3361—471no—
830#3361—471no—
831#3361—471no—
832#3358—471no—
833#3243—471no—
834#3243—471no—
835#3241—471no—
836#3241—471no—
837#3233—471no—
838#3228—471no—
839#3122—471no—
840#3122D4711yescharacteristic, complemented
841#3118—471no—
842#3118—471no—
843#3105—471no—
844#3100—471no—
845#2986—471no—
846C2×C47—41no—
847C2×C47—42no—
848C2×C47—42no—
849C2×C47—81no—
850C2×C47—81no—
851C2×C47#348611yescharacteristic
852C2×C47C2×#57611yescharacteristic
853C2×C47#358411yescharacteristic
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—471no—
869#554—941no—
870#554—941no—
871#554—941no—
872#550—471no—
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#540C2×D4711yescharacteristic
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#518C2×D4711yescharacteristic
899C2×C4×D4—471no—
900#501—471no—
901#501—471no—
902#501—471no—
903#501—471no—
904#500—471no—
905#500—471no—
906#500—471no—
907#499—471no—
908#499—471no—
909#499—471no—
910#499—471no—
911#498—471no—
912#490—471no—
913#490—471no—
914#489—471no—
915#489—471no—
916#488—471no—
917#488—471no—
918#488—471no—
919#488—471no—
920#486—471no—
921#486—471no—
922#486—471no—
923#486—471no—
924#485—471no—
925#485—471no—
926#484—471no—
927#482—471no—
928#482—471no—
929#482—471no—
930#482—471no—
931#482C2×D4711yescharacteristic
932#482C2×D4711yescharacteristic
933#481—471no—
934#480—471no—
935#480—471no—
936#479—471no—
937#479—471no—
938#478—471no—
939#478—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
953#478C2×D4711yescharacteristic
954#477—471no—
955#477—471no—
956#477—471no—
957#476—471no—
958#476—471no—
959#476—471no—
960#476—471no—
961#476—471no—
962#475—471no—
963#474—471no—
964#474—471no—
965#474—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#459—471no—
982#459C2×D4711yescharacteristic
983#459C2×D4711yescharacteristic
984#450—471no—
985#447—471no—
986#447C2×D4711yescharacteristic
987#447C2×D4711yescharacteristic
988#446—471no—
989#446—471no—
990#446—471no—
991#446—471no—
992C8×Q8—471no—
993C8×Q8—471no—
994C8×Q8—471no—
995C8×Q8—471no—
996#442—471no—
997#442—471no—
998#442—471no—
999#442—471no—
1000#442C2×D4711yescharacteristic
1001#442C2×D4711yescharacteristic
1002#440—471no—
1003#440—471no—
1004C4×SD16—471no—
1005C4×SD16—471no—
1006C4×SD16—471no—
1007C4×SD16—471no—
1008C4×D8—471no—
1009C4×D8—471no—
1010C4×D8—471no—
1011C4×D8—471no—
1012C4×D8—471no—
1013C4×D8—471no—
1014C4×D8—471no—
1015C4×D8—471no—
1016C4×D8—471no—
1017C4×D8—471no—
1018C4×D8C2×D4711yescharacteristic
1019C4×D8C2×D4711yescharacteristic
1020#433—471no—
1021#433—471no—
1022#433—471no—
1023#433C2×D4711yescharacteristic
1024#431—471no—
1025#431—471no—
1026C47#6186311yescharacteristic, complemented, Sylow
1027C2×#41—941no—
1028C2×#41—941no—
1029C22×Q8—941no—
1030C22×Q8—941no—
1031C22×Q8—941no—
1032C22×D4C22×D4711yescharacteristic
1033C23×C4—941no—
1034C2×SD16—471no—
1035C2×SD16—471no—
1036C2×D8—471no—
1037C2×D8—471no—
1038C2×D8C22×D4711yescharacteristic
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—471no—
1053C4⋊Q8—941no—
1054C4⋊Q8—941no—
1055C4⋊Q8—941no—
1056#127—471no—
1057#127—471no—
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—471no—
1072#125—941no—
1073#125—941no—
1074#125—941no—
1075#125—941no—
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—21no—
1087#123—21no—
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—471no—
1100C22⋊Q8—471no—
1101C22⋊Q8—471no—
1102C22⋊Q8—471no—
1103C22⋊Q8—471no—
1104C22⋊Q8—941no—
1105C22⋊Q8—941no—
1106C22⋊Q8—941no—
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—471no—
1148#121—941no—
1149#121—941no—
1150#121—941no—
1151#121—941no—
1152#121—941no—
1153#121—941no—
1154#121C22×D4711yescharacteristic
1155#121C22×D4711yescharacteristic
1156C4×Q8—471no—
1157C4×Q8—471no—
1158C4×Q8—471no—
1159C4×Q8—471no—
1160C4×Q8—471no—
1161C4×Q8—471no—
1162C4×Q8—471no—
1163C4×Q8—941no—
1164C4×Q8—941no—
1165C4×Q8—941no—
1166C4×D4—21no—
1167C4×D4—21no—
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—471no—
1182C4×D4—471no—
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—941no—
1201#117C22×D4711yescharacteristic
1202#117C22×D4711yescharacteristic
1203C2×C4⋊C4—471no—
1204C2×C4⋊C4—941no—
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—21no—
1213C2×C22⋊C4—21no—
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#107—471no—
1228#107—471no—
1229#107—471no—
1230#107C22×D4711yescharacteristic
1231#107C22×D4711yescharacteristic
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⋊C8—471no—
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#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⋊C8C22×D4711yescharacteristic
1289C22⋊C8C22×D4711yescharacteristic
1290#97—471no—
1291#97—471no—
1292#97—471no—
1293#97C22×D4711yescharacteristic
1294C4×C8—471no—
1295C4×C8—471no—
1296C4×C8—471no—
1297C4×C8—471no—
1298C4×C8—471no—
1299C4×C8—471no—
1300C4×C8—471no—
1301C4×C8C22×D4711yescharacteristic
1302C24—21no—
1303#41—3762no—
1304#41—3762no—
1305C2×Q8—471no—
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—941no—
1319C2×Q8—3762no—
1320C2×Q8—3762no—
1321C2×Q8—3762no—
1322C2×D4—22no—
1323C2×D4—22no—
1324C2×D4—21no—
1325C2×D4—21no—
1326C2×D4—21no—
1327C2×D4—21no—
1328C2×D4—21no—
1329C2×D4—471no—
1330C2×D4—941no—
1331C2×D4—941no—
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—941no—
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—3762no—
1364C22×C4C23×D4711yescharacteristic
1365SD16—942no—
1366SD16—942no—
1367D8—22no—
1368D8—22no—
1369D8—22no—
1370D8—22no—
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—471no—
1384C4⋊C4—471no—
1385C4⋊C4—471no—
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—941no—
1404C4⋊C4—941no—
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⋊C4—941no—
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—21no—
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—471no—
1449C22⋊C4—471no—
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⋊C4D4×D4711yescharacteristic
1475C22⋊C4D4×D4711yescharacteristic
1476C42—21no—
1477C42—471no—
1478C42—471no—
1479C42—471no—
1480C42—471no—
1481C42—471no—
1482C42—471no—
1483C42—941no—
1484C42—941no—
1485C42—941no—
1486C42—941no—
1487C42C23×D4711yescharacteristic
1488C42C23×D4711yescharacteristic
1489C23—24no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—81no—
1495C23—81no—
1496C23—941no—
1497C23C2×D4×D4711yescharacteristic
1498Q8—942no—
1499Q8—942no—
1500Q8—941no—
1501Q8—941no—
1502Q8—3761no—
1503Q8—3761no—
1504Q8—3761no—
1505Q8—3761no—
1506Q8—3761no—
1507Q8—3761no—
1508Q8—3761no—
1509Q8—1881no—
1510Q8—1881no—
1511Q8—1882no—
1512Q8—1882no—
1513D4—24no—
1514D4—21no—
1515D4—21no—
1516D4—21no—
1517D4—21no—
1518D4—21no—
1519D4—21no—
1520D4—81no—
1521D4—81no—
1522D4—81no—
1523D4—81no—
1524D4—941no—
1525D4—941no—
1526D4—3761no—
1527D4—3761no—
1528D4—3761no—
1529D4—3761no—
1530D4—1882no—
1531D4#1309407112yes—
1532D4#1309407112yes—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—81no—
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—471no—
1553C2×C4—942no—
1554C2×C4—941no—
1555C2×C4—941no—
1556C2×C4—941no—
1557C2×C4—941no—
1558C2×C4—941no—
1559C2×C4—941no—
1560C2×C4—941no—
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—3761no—
1574C2×C4—1882no—
1575C2×C4—1882no—
1576C2×C4—1882no—
1577C2×C4—1881no—
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—21no—
1593C22—22no—
1594C22—22no—
1595C22—21no—
1596C22—21no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—84no—
1608C22—1881no—
1609C22—1881no—
1610C22—1881no—
1611C22C22×D4×D4711yescharacteristic
1612C4—21no—
1613C4—21no—
1614C4—21no—
1615C4—21no—
1616C4—21no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—472no—
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—
1636C4C2×#1309407111yescharacteristic
1637C4C2×#1309407111yescharacteristic
1638C2—41no—
1639C2—42no—
1640C2—42no—
1641C2—81no—
1642C2—81no—
1643C2—3761no—
1644C2#2025703511yescharacteristic
1645C2#576×D4711yescharacteristic
1646C2#2025815611yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3122C2
socleC22×C47C23×D4
hypercenter#3122D47
hypocenterC47#61863
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. #20257849C2semidirect
2. #20257186C2semidirect
3. #20256347C2semidirect
4. #20256345C2semidirect
5. #20256304C2semidirect
6. #20256288C2semidirect
7. #20256258C2semidirect
8. #20256253C2semidirect
9. #20256250C2semidirect
10. D8×Dic94C2semidirect
11. #20256181C2semidirect
12. #20256146C2semidirect
13. #20256134C2semidirect
14. #20256090C2semidirect
15. #20256052C2semidirect
16. #20256049C2semidirect
17. #20256049C2semidirect
18. #20256018C2semidirect
19. #20254673C2semidirect
20. #20254669C2semidirect
21. #20254647C2semidirect
22. #20254635C2semidirect
23. #20254564C2semidirect
24. #20254522C2semidirect
25. #20253625C2semidirect
26. #20253572C2semidirect
27. #20253565C2semidirect
28. #20253430C2semidirect
29. #20253383C2semidirect
30. #20252487C2semidirect
31. C47×#3122C2semidirect
34. #15689859C22semidirect
35. #15689856C22semidirect
36. #15689856C22semidirect
37. #15689850C22semidirect
47. #15689830C22semidirect
48. #15689829C22semidirect
49. #15689793C22semidirect
53. D4×Dic94C22semidirect
75. #15689533C22semidirect
76. #15689532C22semidirect
77. #15689530C22semidirect
78. #15689530C22semidirect
79. #15689528C22semidirect
80. #15689527C22semidirect
81. #15689527C22semidirect
82. #15689524C22semidirect
83. #15689524C22semidirect
84. #15689523C22semidirect
85. #15689522C22semidirect
86. #15689520C22semidirect
87. #15689487C22semidirect
88. #15689486C22semidirect
89. #15689483C22semidirect
90. #15689481C22semidirect
91. #15689478C22semidirect
92. #15689476C22semidirect
93. #15689476C22semidirect
94. #15689476C22semidirect
95. #15689469C22semidirect
96. #15689468C22semidirect
97. #15689468C22semidirect
98. #15689468C22semidirect
109. #15689433C22semidirect
110. #15689431C22semidirect
111. #15689426C22semidirect
112. #15689426C22semidirect
114. #15689425C22semidirect
115. #15689424C22semidirect
116. #15689423C22semidirect
117. #15689423C22semidirect
118. #15689422C22semidirect
122. #15689421C22semidirect
123. #15689421C22semidirect
124. #15689421C22semidirect
125. #15689419C22semidirect
126. #15689417C22semidirect
127. #15689417C22semidirect
129. #15689413C22semidirect
130. #15689412C22semidirect
132. #15689411C22semidirect
133. #15689407C22semidirect
134. #15689404C22semidirect
136. #15689403C22semidirect
140. #15689401C22semidirect
141. #15689401C22semidirect
142. #15689401C22semidirect
155. #15689252C22semidirect
156. #15689252C22semidirect
157. #15689251C22semidirect
158. #15689251C22semidirect
159. C8×Dic94C22semidirect
160. C8×Dic94C22semidirect
161. #15689247C22semidirect
162. #15689247C22semidirect
840. #3122D47semidirect
1026. C47#61863semidirect

Maximal subgroups

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

subgroupindex
#202578492
#202571862
#202563472
#202563452
#202563042
#202562882
#202562582
#202562532
#202562502
D8×Dic942
#202561812
#202561462
#202561342
#202560902
#202560522
#202560492
#202560182
#202546732
#202546692
#202546472
#202546352
#202545642
#202545222
#202536252
#202535722
#202535652
#202534302
#202533832
#202524872
C47×#31222
#6186347