Finite Group Databasebeta

← #27106947

Subgroups — #27106947

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#20257190C211yesmaximal, characteristic, complemented
3#20256345C211yesmaximal, characteristic, complemented
4#20256343C211yesmaximal, characteristic, complemented
5#20256306C211yesmaximal, characteristic, complemented
6#20256290C211yesmaximal, characteristic, complemented
7#20256260C211yesmaximal, characteristic, complemented
8#20256254C211yesmaximal, characteristic, complemented
9#20256252C211yesmaximal, characteristic, complemented
10#20256238C211yesmaximal, characteristic, complemented
11#20256183C211yesmaximal, characteristic, complemented
12#20256148C211yesmaximal, characteristic, complemented
13#20256136C211yesmaximal, characteristic, complemented
14#20256092C211yesmaximal, characteristic, complemented
15#20256053C211yesmaximal, characteristic, complemented
16#20256051C211yesmaximal, characteristic, complemented
17#20256051C211yesmaximal, characteristic, complemented
18#20256020C211yesmaximal, characteristic, complemented
19#20254671C211yesmaximal, characteristic, complemented
20#20254667C211yesmaximal, characteristic, complemented
21#20254645C211yesmaximal, characteristic, complemented
22#20254564C211yesmaximal, characteristic, complemented
23#20254522C211yesmaximal, characteristic, complemented
24#20253627C211yesmaximal, characteristic, complemented
25#20253626C211yesmaximal, characteristic, complemented
26#20253574C211yesmaximal, characteristic, complemented
27#20253567C211yesmaximal, characteristic, complemented
28#20253432C211yesmaximal, characteristic, complemented
29#20253385C211yesmaximal, characteristic, complemented
30#20252487C211yesmaximal, characteristic, complemented
31C47×#3241C211yesmaximal, characteristic, complemented
32#15689868—21no—
33#15689868—21no—
34#15689859C2211yescharacteristic, complemented
35#15689856C2211yescharacteristic, complemented
36#15689856C2211yescharacteristic, complemented
37#15689850C2211yescharacteristic, complemented
38#15689834—21no—
39#15689834C2211yescharacteristic
40#15689834C2211yescharacteristic
41#15689830C2211yescharacteristic, complemented
42#15689829—21no—
43#15689829—21no—
44#15689829C2211yescharacteristic
45#15689829C2211yescharacteristic
46#15689829C2211yescharacteristic
47#15689829C2211yescharacteristic
48#15689829C2211yescharacteristic, complemented
49#15689793C2211yescharacteristic, complemented
50D4×Dic94C2211yescharacteristic, complemented
51#15689788—21no—
52#15689788C2211yescharacteristic
53#15689788C2211yescharacteristic
54#15689779—21no—
55#15689773—21no—
56#15689754C2211yescharacteristic
57#15689748—21no—
58#15689748—21no—
59#15689744C2211yescharacteristic
60#15689741—21no—
61#15689740C2211yescharacteristic
62#15689726C2211yescharacteristic
63#15689717—21no—
64#15689716—21no—
65#15689695—21no—
66#15689676C2211yescharacteristic
67#15689676C2211yescharacteristic
68#15689668C2211yescharacteristic
69#15689654C2211yescharacteristic
70C22⋊Q8×D47—21no—
71C22⋊Q8×D47—21no—
72#15689597C2211yescharacteristic
73#15689597C2211yescharacteristic
74C2×#13093986C2211yescharacteristic
75#15689533C2211yescharacteristic, complemented
76#15689531C2211yescharacteristic, complemented
77#15689530C2211yescharacteristic, complemented
78#15689527C2211yescharacteristic, complemented
79#15689527C2211yescharacteristic, complemented
80#15689526C2211yescharacteristic, complemented
81#15689524C2211yescharacteristic, complemented
82#15689523C2211yescharacteristic, complemented
83#15689523C2211yescharacteristic, complemented
84#15689520C2211yescharacteristic, complemented
85#15689486C2211yescharacteristic, complemented
86#15689485C2211yescharacteristic, complemented
87#15689481C2211yescharacteristic, complemented
88#15689480C2211yescharacteristic, complemented
89#15689476C2211yescharacteristic, complemented
90#15689476C2211yescharacteristic, complemented
91#15689476C2211yescharacteristic, complemented
92#15689468C2211yescharacteristic, complemented
93#15689468C2211yescharacteristic, complemented
94#15689468C2211yescharacteristic, complemented
95#15689465C2211yescharacteristic
96#15689464C2211yescharacteristic
97#15689458C2211yescharacteristic
98#15689448C2211yescharacteristic
99#15689447C2211yescharacteristic
100#15689444C2211yescharacteristic
101#15689444C2211yescharacteristic
102#15689436C2211yescharacteristic
103#15689429C2211yescharacteristic, complemented
104#15689427C2211yescharacteristic, complemented
105#15689426C2211yescharacteristic
106#15689426C2211yescharacteristic, complemented
107#15689425C2211yescharacteristic, complemented
108#15689425C2211yescharacteristic, complemented
109#15689425C2211yescharacteristic, complemented
110#15689422C2211yescharacteristic
111#15689422C2211yescharacteristic
112#15689422C2211yescharacteristic
113#15689422C2211yescharacteristic, complemented
114#15689422C2211yescharacteristic, complemented
115#15689421C2211yescharacteristic, complemented
116#15689420C2211yescharacteristic
117#15689420C2211yescharacteristic
118#15689420C2211yescharacteristic, complemented
119#15689417C2211yescharacteristic, complemented
120#15689417C2211yescharacteristic, complemented
121#15689415C2211yescharacteristic, complemented
122#15689414C2211yescharacteristic
123#15689412C2211yescharacteristic
124#15689412C2211yescharacteristic, complemented
125#15689411C2211yescharacteristic, complemented
126#15689407C2211yescharacteristic, complemented
127#15689404C2211yescharacteristic
128#15689402C2211yescharacteristic
129#15689402C2211yescharacteristic
130#15689402C2211yescharacteristic
131#15689401C2211yescharacteristic, complemented
132#15689401C2211yescharacteristic, complemented
133#15689401C2211yescharacteristic, complemented
134#15689400C2211yescharacteristic, complemented
135#15689339C2211yescharacteristic
136#15689339C2211yescharacteristic
137#15689337C2211yescharacteristic
138#15689337C2211yescharacteristic
139#15689337C2211yescharacteristic
140#15689337C2211yescharacteristic
141#15689317C2211yescharacteristic
142#15689317C2211yescharacteristic
143#15689317C2211yescharacteristic
144#15689317C2211yescharacteristic
145#15689315C2211yescharacteristic
146#15689315C2211yescharacteristic
147#15689276C2211yescharacteristic
148#15689259C2211yescharacteristic
149#15689256C2211yescharacteristic
150#15689256C2211yescharacteristic
151#15689252C2211yescharacteristic, complemented
152#15689252C2211yescharacteristic, complemented
153#15689251C2211yescharacteristic, complemented
154#15689251C2211yescharacteristic, complemented
155C8×Dic94C2211yescharacteristic, complemented
156C8×Dic94C2211yescharacteristic, complemented
157#15689247C2211yescharacteristic, complemented
158#15689247C2211yescharacteristic, complemented
159#15689236C2211yescharacteristic
160#15689234C2211yescharacteristic
161#15689233C2211yescharacteristic
162#15689233C2211yescharacteristic
163#15689232C2211yescharacteristic
164#15689232C2211yescharacteristic
165#15689225C2211yescharacteristic
166#15689222C2211yescharacteristic
167C4×#10625325C2211yescharacteristic
168#15689210C2211yescharacteristic
169#15689210C2211yescharacteristic
170#15689210C2211yescharacteristic
171C4×D376C2211yescharacteristic
172#15689205C2211yescharacteristic
173#15689205C2211yescharacteristic
174#15689205C2211yescharacteristic
175C4×#10625334C2211yescharacteristic
176C4×#10625334C2211yescharacteristic
177#15689203C2211yescharacteristic
178#15689203C2211yescharacteristic
179#15689203C2211yescharacteristic
180#15689203C2211yescharacteristic
181#15689203C2211yescharacteristic
182#15689203C2211yescharacteristic
183#15689184C2211yescharacteristic
184#15689181C2211yescharacteristic
185#15689181C2211yescharacteristic
186#15689173C2211yescharacteristic
187#15689173C2211yescharacteristic
188C47×#544C2211yescharacteristic
189C47×#540C2211yescharacteristic
190C47×#501C2211yescharacteristic, complemented
191C47×#499C2211yescharacteristic, complemented
192C47×#490C2211yescharacteristic, complemented
193C47×#486C2211yescharacteristic, complemented
194C47×#482C2211yescharacteristic
195C47×#482C2211yescharacteristic
196C47×#481C2211yescharacteristic
197C47×#480C2211yescharacteristic
198C47×#478C2211yescharacteristic, complemented
199C47×#478C2211yescharacteristic, complemented
200C47×#476C2211yescharacteristic, complemented
201C47×#474C2211yescharacteristic, complemented
202C47×#433C2211yescharacteristic
203C2×#10625352—21no—
204C2×#10625352—21no—
205C22×Dic94—21no—
206C2×Q8×D47—21no—
207C2×Q8×D47—21no—
208C22×D188C2311yescharacteristic
209C22×C4×D47—21no—
210C2×#10625325C2311yescharacteristic
211C2×#10625325C2311yescharacteristic
212C2×D376C2311yescharacteristic
213C2×D376C2311yescharacteristic
214C2×#10625334C2311yescharacteristic
215C2×#10625334C2311yescharacteristic
216C2×#10625334C2311yescharacteristic
217C2×#10625334C2311yescharacteristic
218#13094024C2311yescharacteristic
219#13094023—21no—
220#13094023—21no—
221#13094023D411yescharacteristic
222#13094023D411yescharacteristic
223#13094023C2311yescharacteristic
224#13094023C2311yescharacteristic
225#13094023C2311yescharacteristic
226#13094023C2311yescharacteristic
227#13094023C2311yescharacteristic
228#13094023C2311yescharacteristic
229#13094020C2311yescharacteristic
230#13094020C2311yescharacteristic
231#13094019—21no—
232#13094017—21no—
233#13094017—21no—
234#13094015—21no—
235#13094015D411yescharacteristic
236#13094015D411yescharacteristic
237#13094015C2311yescharacteristic
238#13094015C2311yescharacteristic
239#13094015C2311yescharacteristic
240#13094015C2311yescharacteristic
241#13094015C2311yescharacteristic
242#13094015C2311yescharacteristic
243#13094014—21no—
244#13094014—21no—
245#13094012C2311yescharacteristic
246#13094011—21no—
247#13094011—21no—
248#13094011C2311yescharacteristic
249#13094011C2311yescharacteristic
250#13094010—21no—
251#13094010—21no—
252#13094010—21no—
253#13094010—21no—
254#13094008—21no—
255#13094007—21no—
256#13094007—21no—
257#13094006—21no—
258#13094006—21no—
259#13094006—21no—
260#13094006—21no—
261#13094005—21no—
262#13094005—21no—
263#13094005—21no—
264#13094005—21no—
265#13094004—21no—
266#13094004—21no—
267#13094004—21no—
268#13094004—21no—
269#13094004—21no—
270#13094004—21no—
271#13094004—21no—
272#13094003—21no—
273#13094003—21no—
274#13094003—21no—
275#13094003—21no—
276#13094003C2311yescharacteristic
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#13094002—21no—
290#13094002—21no—
291#13094002—21no—
292#13094001—21no—
293#13094001—21no—
294#13094001—21no—
295#13094001—21no—
296#13094001—21no—
297#13094001—21no—
298#13094001—21no—
299#13094001D411yescharacteristic
300#13094001D411yescharacteristic
301#13094001D411yescharacteristic
302#13094001D411yescharacteristic
303#13094000—21no—
304#13094000—21no—
305#13094000—21no—
306#13094000—21no—
307#13094000—21no—
308#13094000—21no—
309#13093998C2311yescharacteristic
310#13093996—21no—
311#13093996—21no—
312#13093996—21no—
313#13093996—21no—
314#13093995—21no—
315#13093995—21no—
316C4×Dic94—21no—
317C4×Dic94—21no—
318C4×Dic94C2311yescharacteristic
319C4×Dic94C2311yescharacteristic
320C4×Dic94C2311yescharacteristic
321C4×Dic94C2311yescharacteristic
322C4×Dic94C2311yescharacteristic
323#13093989—21no—
324#13093989C2311yescharacteristic
325#13093989C2311yescharacteristic
326C4×D188—21no—
327C4×D188—21no—
328C4×D188C2311yescharacteristic
329C4×D188C2311yescharacteristic
330C4×D188C2311yescharacteristic
331C4×D188C2311yescharacteristic
332C4×D188C2311yescharacteristic
333D4×Dic47—21no—
334D4×Dic47—21no—
335D4×Dic47C2311yescharacteristic
336D4×Dic47C2311yescharacteristic
337D4×Dic47C2311yescharacteristic
338D4×Dic47C2311yescharacteristic
339#13093986—21no—
340#13093986—21no—
341#13093986—21no—
342#13093986—21no—
343#13093986C2311yescharacteristic
344#13093986C2311yescharacteristic
345#13093986C2311yescharacteristic
346#13093986C2311yescharacteristic
347#13093986C2311yescharacteristic
348#13093986C2311yescharacteristic
349#13093986C2311yescharacteristic
350#13093986C2311yescharacteristic
351#13093986C2311yescharacteristic
352#13093986C2311yescharacteristic
353C4×C22⋊D47—21no—
354C4×C22⋊D47—21no—
355(C22⋊D47)⋊C4—21no—
356#13093983C2311yescharacteristic
357#13093983C2311yescharacteristic
358#13093980—21no—
359C2×C4⋊Dic47—21no—
360C4⋊C4×D47—21no—
361C4⋊C4×D47—21no—
362C4⋊C4×D47—21no—
363C4⋊C4×D47—21no—
364C4⋊C4×D47—21no—
365C4⋊C4×D47—21no—
366C4⋊C4×D47—21no—
367C2×(C2×D47)⋊C4—21no—
368C22⋊C4×D47—21no—
369C22⋊C4×D47—21no—
370C22⋊C4×D47—21no—
371C22⋊C4×D47—21no—
372C2×C4×Dic47C2311yescharacteristic
373#13093958C2311yescharacteristic
374#13093958C2311yescharacteristic
375#13093957C2311yescharacteristic
376#13093957C2311yescharacteristic
377#13093957C2311yescharacteristic
378#13093957C2311yescharacteristic
379#13093957C2311yescharacteristic
380#13093957C2311yescharacteristic
381#13093957C2311yescharacteristic
382#13093957C2311yescharacteristic
383#13093956C2311yescharacteristic
384#13093956C2311yescharacteristic
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#13093947C2311yescharacteristic
402#13093947C2311yescharacteristic
403#13093947C2311yescharacteristic
404#13093947C2311yescharacteristic
405#13093946C2311yescharacteristic
406#13093946C2311yescharacteristic
407#13093946C2311yescharacteristic
408#13093946C2311yescharacteristic
409#13093946C2311yescharacteristic
410#13093946C2311yescharacteristic
411#13093945C2311yescharacteristic
412#13093945C2311yescharacteristic
413#13093945C2311yescharacteristic
414#13093945C2311yescharacteristic
415#13093944C2311yescharacteristic
416#13093944C2311yescharacteristic
417#13093944C2311yescharacteristic
418#13093944C2311yescharacteristic
419#13093944C2311yescharacteristic
420#13093944C2311yescharacteristic
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
435C4⋊Q8×C47—21no—
436C4⋊Q8×C47C2311yescharacteristic
437C4⋊Q8×C47C2311yescharacteristic
438#127×C47C2311yescharacteristic
439#125×C47—21no—
440#125×C47C2311yescharacteristic
441#125×C47C2311yescharacteristic
442#125×C47C2311yescharacteristic
443#123×C47—21no—
444#123×C47—21no—
445C22⋊Q8×C47—21no—
446C22⋊Q8×C47—21no—
447#121×C47—21no—
448#121×C47—21no—
449#121×C47C2311yescharacteristic
450#121×C47C2311yescharacteristic
451C4×D4×C47C2311yescharacteristic
452C4×D4×C47C2311yescharacteristic
453#117×C47C2311yescharacteristic
454#117×C47C2311yescharacteristic
455C2×C4⋊C4×C47C2311yescharacteristic
456#107×C47C2311yescharacteristic
457#107×C47C2311yescharacteristic
458#107×C47C2311yescharacteristic
459#107×C47C2311yescharacteristic
460#106×C47C2311yescharacteristic
461#106×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
478C23×D47—21no—
479C2×Q8×C47—21no—
480C2×Q8×C47—21no—
481C2×D4×C47—21no—
482C2×D4×C47—21no—
483C2×D4×C47—21no—
484C2×D4×C47—21no—
485C2×D4×C47C2411yescharacteristic
486C2×D4×C47C2411yescharacteristic
487C22×C4×C47—21no—
488C22×C4×C47—21no—
489C22×C4×C47—21no—
490C22×C4×C47C2411yescharacteristic
491C2×C22⋊D47—21no—
492C2×C22⋊D47—21no—
493C2×C22⋊D47—21no—
494C2×C22⋊D47—21no—
495C2×C22⋊D47—21no—
496C22×Dic47—21no—
497C22×Dic47—21no—
498C22×Dic47—21no—
499C22×Dic47—21no—
500C22×Dic47C2×D411yescharacteristic
501C22×Dic47C2×D411yescharacteristic
502Q8×D47—82no—
503Q8×D47—82no—
504#10625352—82no—
505#10625352—82no—
506C2×D188—21no—
507C2×D188—22no—
508C2×D188—22no—
509C2×D188C2411yescharacteristic
510C2×D188C2411yescharacteristic
511C2×D188C2411yescharacteristic
512C2×C4×D47—21no—
513C2×C4×D47—21no—
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×Dic94—21no—
529C2×Dic94—21no—
530C2×Dic94—21no—
531C2×Dic94—21no—
532C2×Dic94—21no—
533C2×Dic94—21no—
534C2×Dic94—21no—
535C2×Dic94—82no—
536C2×Dic94C2×D411yescharacteristic
537C2×Dic94C2×D411yescharacteristic
538C2×Dic94C2×D411yescharacteristic
539C2×Dic94C2×D411yescharacteristic
540C2×Dic94C2411yescharacteristic
541C2×C8×C47C2411yescharacteristic
542C2×C8×C47C2411yescharacteristic
543C2×C8×C47C2411yescharacteristic
544C2×C8×C47C2411yescharacteristic
545C4⋊C4×C47—21no—
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×C47C2411yescharacteristic
557C4⋊C4×C47C2411yescharacteristic
558C4⋊C4×C47C2411yescharacteristic
559C4⋊C4×C47C2411yescharacteristic
560C4⋊C4×C47C2411yescharacteristic
561C4⋊C4×C47C2411yescharacteristic
562C22⋊C4×C47—21no—
563C22⋊C4×C47—21no—
564C22⋊C4×C47—21no—
565C22⋊C4×C47—21no—
566C22⋊C4×C47—21no—
567C22⋊C4×C47C2×D411yescharacteristic
568C22⋊C4×C47C2×D411yescharacteristic
569C42×C47—21no—
570C42×C47C2411yescharacteristic
571C42×C47C2411yescharacteristic
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⋊Dic47C2×D411yescharacteristic
583C22⋊Dic47C2×D411yescharacteristic
584#10625334—22no—
585#10625334—22no—
586#10625334—22no—
587#10625334—22no—
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)⋊C4—21no—
604(C2×D47)⋊C4—21no—
605(C2×D47)⋊C4—21no—
606C4⋊Dic47—21no—
607C4⋊Dic47—21no—
608C4⋊Dic47—21no—
609C4⋊Dic47—21no—
610C4⋊Dic47—21no—
611C4⋊Dic47—21no—
612C4⋊Dic47—21no—
613C4⋊Dic47C2×D411yescharacteristic
614C4⋊Dic47C2×D411yescharacteristic
615C4⋊Dic47C2×D411yescharacteristic
616C4⋊Dic47C2×D411yescharacteristic
617C4⋊Dic47C2×D411yescharacteristic
618C4⋊Dic47C2×D411yescharacteristic
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⋊C4C2×D411yescharacteristic
640Dic47⋊C4C2×D411yescharacteristic
641Dic47⋊C4C2×D411yescharacteristic
642Dic47⋊C4C2×D411yescharacteristic
643Dic47⋊C4C2×D411yescharacteristic
644Dic47⋊C4C2×D411yescharacteristic
645Dic47⋊C4C2×D411yescharacteristic
646Dic47⋊C4C2×D411yescharacteristic
647C4×Dic47—21no—
648C4×Dic47—21no—
649C4×Dic47—21no—
650C4×Dic47—21no—
651C4×Dic47C2×D411yescharacteristic
652C4×Dic47C2×D411yescharacteristic
653C4×Dic47C2411yescharacteristic
654C4×Dic47C2411yescharacteristic
655C4×Dic47C2411yescharacteristic
656C4×Dic47C2411yescharacteristic
657C2×C47⋊C8C2411yescharacteristic
658C2×C47⋊C8C2411yescharacteristic
659C2×C47⋊C8C2411yescharacteristic
660C2×C47⋊C8C2411yescharacteristic
661D376—22no—
662D376—22no—
663#10625325—22no—
664#10625325—22no—
665C23×C47—21no—
666C23×C47—21no—
667C23×C47C22×D411yescharacteristic
668C22×D47—21no—
669C22×D47—21no—
670C22×D47—24no—
671C22×D47—21no—
672C22×D47—81no—
673C22×D47—81no—
674Q8×C47—81no—
675Q8×C47—81no—
676D4×C47—21no—
677D4×C47—21no—
678D4×C47—21no—
679D4×C47—21no—
680D4×C47—81no—
681D4×C47—81no—
682D4×C47—81no—
683D4×C47—81no—
684C2×C4×C47—21no—
685C2×C4×C47—21no—
686C2×C4×C47—21no—
687C2×C4×C47—21no—
688C2×C4×C47—21no—
689C2×C4×C47—21no—
690C2×C4×C47—21no—
691C2×C4×C47—21no—
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×C47C2511yescharacteristic
701C22⋊D47—42no—
702C22⋊D47—81no—
703C22⋊D47—81no—
704C22⋊D47—81no—
705C22⋊D47—81no—
706C2×Dic47—22no—
707C2×Dic47—21no—
708C2×Dic47—21no—
709C2×Dic47—21no—
710C2×Dic47—21no—
711C2×Dic47—21no—
712C2×Dic47—41no—
713C2×Dic47—42no—
714C2×Dic47—81no—
715C2×Dic47—81no—
716C2×Dic47—81no—
717C2×Dic47C22×D411yescharacteristic
718C2×Dic47C22×D411yescharacteristic
719C2×Dic47C22×D411yescharacteristic
720C2×Dic47C22×D411yescharacteristic
721C2×Dic47C22×D411yescharacteristic
722C2×Dic47C22×D411yescharacteristic
723C2×Dic47C22×D411yescharacteristic
724C2×Dic47C22×D411yescharacteristic
725D188—24no—
726D188—21no—
727D188—21no—
728D188—21no—
729D188—21no—
730D1882−1+412yes—
731D1882−1+412yes—
732C4×D47—42no—
733C4×D47—42no—
734C4×D47—81no—
735C4×D47—81no—
736C4×D47—81no—
737C4×D47—81no—
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—
747Dic94—22no—
748Dic94—22no—
749Dic94—21no—
750Dic94—21no—
751Dic94—41no—
752Dic94—41no—
753Dic94—42no—
754Dic94—42no—
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—21no—
772C22×C47—41no—
773C22×C47—41no—
774C22×C47—41no—
775C22×C47—41no—
776C22×C47—41no—
777C22×C47—41no—
778C22×C47C23×D411yescharacteristic
779C2×D47—22no—
780C2×D47—22no—
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—41no—
795C4×C47—41no—
796C4×C47—41no—
797C4×C47—41no—
798C4×C47—41no—
799C4×C47—41no—
800C4×C47C2×2−1+411yescharacteristic
801C4×C47C2×2−1+411yescharacteristic
802Dic47—21no—
803Dic47—21no—
804Dic47—21no—
805Dic47—21no—
806Dic47—21no—
807Dic47—21no—
808Dic47—21no—
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#3241D4711yescharacteristic, complemented
837#3233—471no—
838#3228—471no—
839#3122—471no—
840#3122—471no—
841#3118—471no—
842#3118—471no—
843#3105—471no—
844#3100—471no—
845#2986—471no—
846C2×C47—41no—
847C2×C47—81no—
848C2×C47—81no—
849C2×C47#348611yescharacteristic
850C2×C47C2×#57611yescharacteristic
851C2×C47#358411yescharacteristic
852D47—42no—
853D47—42no—
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#544C2×D4711yescharacteristic
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#518—471no—
899C2×C4×D4—471no—
900#501—471no—
901#501—471no—
902#501—471no—
903#501C2×D4711yescharacteristic, complemented
904#500—471no—
905#500—471no—
906#500—471no—
907#499—471no—
908#499—471no—
909#499—471no—
910#499C2×D4711yescharacteristic, complemented
911#498—471no—
912#490—471no—
913#490C2×D4711yescharacteristic, complemented
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#486C2×D4711yescharacteristic, complemented
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#481C2×D4711yescharacteristic
934#480—471no—
935#480C2×D4711yescharacteristic
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, complemented
953#478C2×D4711yescharacteristic, complemented
954#477—471no—
955#477—471no—
956#477—471no—
957#476—471no—
958#476—471no—
959#476—471no—
960#476—471no—
961#476C2×D4711yescharacteristic, complemented
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#474C2×D4711yescharacteristic, complemented
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—
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#442—471no—
1001#442—471no—
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×D8—471no—
1019C4×D8—471no—
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×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×D8—471no—
1042C4⋊Q8—21no—
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⋊Q8C22×D4711yescharacteristic
1055C4⋊Q8C22×D4711yescharacteristic
1056#127—471no—
1057#127—471no—
1058#127C22×D4711yescharacteristic
1059#126—941no—
1060#126—941no—
1061#126—941no—
1062#125—21no—
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#125C22×D4711yescharacteristic
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—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—21no—
1100C22⋊Q8—21no—
1101C22⋊Q8—471no—
1102C22⋊Q8—471no—
1103C22⋊Q8—471no—
1104C22⋊Q8—471no—
1105C22⋊Q8—471no—
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—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—471no—
1182C4×D4—471no—
1183C4×D4—471no—
1184C4×D4—471no—
1185C4×D4—941no—
1186C4×D4—941no—
1187C4×D4—941no—
1188C4×D4—941no—
1189C4×D4—941no—
1190C4×D4—941no—
1191C4×D4—941no—
1192C4×D4—941no—
1193C4×D4—941no—
1194C4×D4—941no—
1195C4×D4—941no—
1196C4×D4C22×D4711yescharacteristic
1197C4×D4C22×D4711yescharacteristic
1198#117—471no—
1199#117—471no—
1200#117—941no—
1201#117C22×D4711yescharacteristic
1202#117C22×D4711yescharacteristic
1203C2×C4⋊C4—941no—
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⋊C4C22×D4711yescharacteristic
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#107—471no—
1228#107C22×D4711yescharacteristic
1229#107C22×D4711yescharacteristic
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#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⋊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—941no—
1303#41—3762no—
1304#41—3762no—
1305C2×Q8—21no—
1306C2×Q8—21no—
1307C2×Q8—471no—
1308C2×Q8—471no—
1309C2×Q8—471no—
1310C2×Q8—471no—
1311C2×Q8—471no—
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—21no—
1323C2×D4—21no—
1324C2×D4—21no—
1325C2×D4—21no—
1326C2×D4—471no—
1327C2×D4—471no—
1328C2×D4—471no—
1329C2×D4—942no—
1330C2×D4—942no—
1331C2×D4—941no—
1332C2×D4—941no—
1333C2×D4—941no—
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—471no—
1343C22×C4—471no—
1344C22×C4—941no—
1345C22×C4—941no—
1346C22×C4—941no—
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—942no—
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—21no—
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—471no—
1407C4⋊C4—471no—
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⋊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—471no—
1445C22⋊C4—471no—
1446C22⋊C4—941no—
1447C22⋊C4—941no—
1448C22⋊C4—941no—
1449C22⋊C4—941no—
1450C22⋊C4—941no—
1451C22⋊C4—941no—
1452C22⋊C4—941no—
1453C22⋊C4—941no—
1454C22⋊C4—941no—
1455C22⋊C4—941no—
1456C22⋊C4—941no—
1457C22⋊C4—941no—
1458C22⋊C4—941no—
1459C22⋊C4—941no—
1460C22⋊C4—941no—
1461C22⋊C4—941no—
1462C22⋊C4—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—21no—
1490C23—21no—
1491C23—944no—
1492C23—941no—
1493C23—941no—
1494C23—941no—
1495C23—3761no—
1496C23—3761no—
1497C23C2×D4×D4711yescharacteristic
1498Q8—81no—
1499Q8—81no—
1500Q8—942no—
1501Q8—942no—
1502Q8—941no—
1503Q8—941no—
1504Q8—3761no—
1505Q8—3761no—
1506Q8—3761no—
1507Q8—3761no—
1508Q8—3761no—
1509Q8—1881no—
1510Q8—1881no—
1511Q8—1882no—
1512Q8—1882no—
1513D4—21no—
1514D4—21no—
1515D4—21no—
1516D4—21no—
1517D4—81no—
1518D4—81no—
1519D4—81no—
1520D4—81no—
1521D4—472no—
1522D4—472no—
1523D4—944no—
1524D4—941no—
1525D4—941no—
1526D4—941no—
1527D4—941no—
1528D4—3761no—
1529D4—3761no—
1530D4—3761no—
1531D4—3761no—
1532D4—1882no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—81no—
1542C2×C4—81no—
1543C2×C4—81no—
1544C2×C4—471no—
1545C2×C4—471no—
1546C2×C4—471no—
1547C2×C4—471no—
1548C2×C4—471no—
1549C2×C4—471no—
1550C2×C4—471no—
1551C2×C4—471no—
1552C2×C4—942no—
1553C2×C4—941no—
1554C2×C4—941no—
1555C2×C4—941no—
1556C2×C4—941no—
1557C2×C4—941no—
1558C2×C4—3761no—
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—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—21no—
1594C22—21no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—942no—
1602C22—942no—
1603C22—3764no—
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—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—472no—
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
1637C42−1+4×D4711yescharacteristic
1638C2—41no—
1639C2—81no—
1640C2—81no—
1641C2—3761no—
1642C2—1882no—
1643C2—1882no—
1644C2#2025703711yescharacteristic
1645C2#576×D4711yescharacteristic
1646C2#2025816011yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3241C2
socleC22×C47C23×D4
hypercenter#3241D47
hypocenterC47#61863
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ #117 ◁ #3241

Complements

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

NH ≅ G/Ntype
1. #20257849C2semidirect
2. #20257190C2semidirect
3. #20256345C2semidirect
4. #20256343C2semidirect
5. #20256306C2semidirect
6. #20256290C2semidirect
7. #20256260C2semidirect
8. #20256254C2semidirect
9. #20256252C2semidirect
10. #20256238C2semidirect
11. #20256183C2semidirect
12. #20256148C2semidirect
13. #20256136C2semidirect
14. #20256092C2semidirect
15. #20256053C2semidirect
16. #20256051C2semidirect
17. #20256051C2semidirect
18. #20256020C2semidirect
19. #20254671C2semidirect
20. #20254667C2semidirect
21. #20254645C2semidirect
22. #20254564C2semidirect
23. #20254522C2semidirect
24. #20253627C2semidirect
25. #20253626C2semidirect
26. #20253574C2semidirect
27. #20253567C2semidirect
28. #20253432C2semidirect
29. #20253385C2semidirect
30. #20252487C2semidirect
31. C47×#3241C2semidirect
34. #15689859C22semidirect
35. #15689856C22semidirect
36. #15689856C22semidirect
37. #15689850C22semidirect
41. #15689830C22semidirect
48. #15689829C22semidirect
49. #15689793C22semidirect
50. D4×Dic94C22semidirect
75. #15689533C22semidirect
76. #15689531C22semidirect
77. #15689530C22semidirect
78. #15689527C22semidirect
79. #15689527C22semidirect
80. #15689526C22semidirect
81. #15689524C22semidirect
82. #15689523C22semidirect
83. #15689523C22semidirect
84. #15689520C22semidirect
85. #15689486C22semidirect
86. #15689485C22semidirect
87. #15689481C22semidirect
88. #15689480C22semidirect
89. #15689476C22semidirect
90. #15689476C22semidirect
91. #15689476C22semidirect
92. #15689468C22semidirect
93. #15689468C22semidirect
94. #15689468C22semidirect
103. #15689429C22semidirect
104. #15689427C22semidirect
106. #15689426C22semidirect
107. #15689425C22semidirect
108. #15689425C22semidirect
109. #15689425C22semidirect
113. #15689422C22semidirect
114. #15689422C22semidirect
115. #15689421C22semidirect
118. #15689420C22semidirect
119. #15689417C22semidirect
120. #15689417C22semidirect
121. #15689415C22semidirect
124. #15689412C22semidirect
125. #15689411C22semidirect
126. #15689407C22semidirect
131. #15689401C22semidirect
132. #15689401C22semidirect
133. #15689401C22semidirect
134. #15689400C22semidirect
151. #15689252C22semidirect
152. #15689252C22semidirect
153. #15689251C22semidirect
154. #15689251C22semidirect
155. C8×Dic94C22semidirect
156. C8×Dic94C22semidirect
157. #15689247C22semidirect
158. #15689247C22semidirect
190. C47×#501C22semidirect
191. C47×#499C22semidirect
192. C47×#490C22semidirect
193. C47×#486C22semidirect
198. C47×#478C22semidirect
199. C47×#478C22semidirect
200. C47×#476C22semidirect
201. C47×#474C22semidirect
836. #3241D47semidirect
903. #501C2×D47semidirect
910. #499C2×D47semidirect
913. #490C2×D47semidirect
923. #486C2×D47semidirect
952. #478C2×D47semidirect
953. #478C2×D47semidirect
961. #476C2×D47semidirect
971. #474C2×D47semidirect
1026. C47#61863semidirect

Maximal subgroups

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

subgroupindex
#202578492
#202571902
#202563452
#202563432
#202563062
#202562902
#202562602
#202562542
#202562522
#202562382
#202561832
#202561482
#202561362
#202560922
#202560532
#202560512
#202560202
#202546712
#202546672
#202546452
#202545642
#202545222
#202536272
#202536262
#202535742
#202535672
#202534322
#202533852
#202524872
C47×#32412
#6186347