Finite Group Databasebeta

← #27106955

Subgroups — #27106955

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#20257857C211yesmaximal, characteristic, complemented
2#20257190C211yesmaximal, characteristic, complemented
3#20256343C211yesmaximal, characteristic, complemented
4#20256341C211yesmaximal, characteristic, complemented
5#20256312C211yesmaximal, characteristic, complemented
6#20256284C211yesmaximal, characteristic, complemented
7#20256266C211yesmaximal, characteristic, complemented
8#20256257C211yesmaximal, characteristic, complemented
9#20256250C211yesmaximal, characteristic, complemented
10#20256240C211yesmaximal, characteristic, complemented
11#20256177C211yesmaximal, characteristic, complemented
12#20256144C211yesmaximal, characteristic, complemented
13#20256140C211yesmaximal, characteristic, complemented
14#20256098C211yesmaximal, characteristic, complemented
15#20256047C211yesmaximal, characteristic, complemented
16#20256045C211yesmaximal, characteristic, complemented
17#20256045C211yesmaximal, characteristic, complemented
18#20256022C211yesmaximal, characteristic, complemented
19#20254675C211yesmaximal, characteristic, complemented
20#20254641C211yesmaximal, characteristic, complemented
21#20254637C211yesmaximal, characteristic, complemented
22#20254570C211yesmaximal, characteristic, complemented
23#20254522C211yesmaximal, characteristic, complemented
24#20253632C211yesmaximal, characteristic, complemented
25#20253627C211yesmaximal, characteristic, complemented
26#20253575C211yesmaximal, characteristic, complemented
27#20253566C211yesmaximal, characteristic, complemented
28#20253438C211yesmaximal, characteristic, complemented
29#20253385C211yesmaximal, characteristic, complemented
30#20252487C211yesmaximal, characteristic, complemented
31C47×#3243C211yesmaximal, characteristic, complemented
32#15689870—21no—
33#15689867—21no—
34#15689858C2211yescharacteristic, complemented
35#15689855C2211yescharacteristic, complemented
36#15689855C2211yescharacteristic, complemented
37#15689849C2211yescharacteristic, complemented
38#15689834—21no—
39#15689834C2211yescharacteristic
40#15689834C2211yescharacteristic
41#15689834C2211yescharacteristic, complemented
42#15689832C2211yescharacteristic, complemented
43#15689829—21no—
44#15689829—21no—
45#15689829C2211yescharacteristic
46#15689829C2211yescharacteristic
47#15689829C2211yescharacteristic
48#15689829C2211yescharacteristic
49#15689794C2211yescharacteristic, complemented
50#15689788—21no—
51#15689788C2211yescharacteristic
52#15689788C2211yescharacteristic
53#15689788C2211yescharacteristic, complemented
54#15689781—21no—
55#15689771—21no—
56#15689754C2211yescharacteristic
57#15689748—21no—
58#15689748—21no—
59#15689746C2211yescharacteristic
60#15689739—21no—
61#15689728C2211yescharacteristic
62#15689726C2211yescharacteristic
63#15689722—21no—
64#15689714—21no—
65#15689696—21no—
66#15689676C2211yescharacteristic
67#15689676C2211yescharacteristic
68#15689668C2211yescharacteristic
69#15689659C2211yescharacteristic
70C22⋊Q8×D47—21no—
71C22⋊Q8×D47—21no—
72#15689597C2211yescharacteristic
73#15689597C2211yescharacteristic
74C2×#13093986C2211yescharacteristic
75#15689531C2211yescharacteristic, complemented
76#15689531C2211yescharacteristic, complemented
77#15689529C2211yescharacteristic, complemented
78#15689527C2211yescharacteristic, complemented
79#15689527C2211yescharacteristic, complemented
80#15689524C2211yescharacteristic, complemented
81#15689524C2211yescharacteristic, complemented
82#15689523C2211yescharacteristic, complemented
83#15689522C2211yescharacteristic, complemented
84#15689520C2211yescharacteristic, complemented
85#15689489C2211yescharacteristic, complemented
86#15689486C2211yescharacteristic, complemented
87#15689484C2211yescharacteristic, complemented
88#15689479C2211yescharacteristic, complemented
89#15689479C2211yescharacteristic, complemented
90#15689479C2211yescharacteristic, complemented
91#15689471C2211yescharacteristic, complemented
92#15689468C2211yescharacteristic, complemented
93#15689468C2211yescharacteristic, complemented
94#15689468C2211yescharacteristic, complemented
95#15689461C2211yescharacteristic
96#15689448C2211yescharacteristic
97#15689448C2211yescharacteristic
98#15689447C2211yescharacteristic
99#15689447C2211yescharacteristic
100#15689444C2211yescharacteristic
101#15689441C2211yescharacteristic
102#15689436C2211yescharacteristic
103#15689428C2211yescharacteristic, complemented
104#15689426C2211yescharacteristic
105#15689426C2211yescharacteristic
106#15689426C2211yescharacteristic
107#15689426C2211yescharacteristic, complemented
108#15689426C2211yescharacteristic, complemented
109#15689426C2211yescharacteristic, complemented
110#15689425C2211yescharacteristic, complemented
111#15689424C2211yescharacteristic
112#15689424C2211yescharacteristic
113#15689422C2211yescharacteristic
114#15689422C2211yescharacteristic, complemented
115#15689421C2211yescharacteristic, complemented
116#15689421C2211yescharacteristic, complemented
117#15689420C2211yescharacteristic, complemented
118#15689420C2211yescharacteristic, complemented
119#15689416C2211yescharacteristic, complemented
120#15689416C2211yescharacteristic, complemented
121#15689412C2211yescharacteristic
122#15689412C2211yescharacteristic, complemented
123#15689411C2211yescharacteristic, complemented
124#15689410C2211yescharacteristic
125#15689410C2211yescharacteristic, complemented
126#15689406C2211yescharacteristic, complemented
127#15689402C2211yescharacteristic
128#15689402C2211yescharacteristic
129#15689402C2211yescharacteristic
130#15689402C2211yescharacteristic, complemented
131#15689402C2211yescharacteristic, complemented
132#15689402C2211yescharacteristic, complemented
133#15689400C2211yescharacteristic
134#15689400C2211yescharacteristic, complemented
135#15689341C2211yescharacteristic
136#15689341C2211yescharacteristic
137#15689341C2211yescharacteristic
138#15689341C2211yescharacteristic
139#15689335C2211yescharacteristic
140#15689335C2211yescharacteristic
141#15689319C2211yescharacteristic
142#15689319C2211yescharacteristic
143#15689317C2211yescharacteristic
144#15689317C2211yescharacteristic
145#15689317C2211yescharacteristic
146#15689317C2211yescharacteristic
147#15689273C2211yescharacteristic
148#15689259C2211yescharacteristic
149#15689259C2211yescharacteristic
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#15689236C2211yescharacteristic
161#15689234C2211yescharacteristic
162#15689234C2211yescharacteristic
163#15689233C2211yescharacteristic
164#15689232C2211yescharacteristic
165#15689226C2211yescharacteristic
166#15689221C2211yescharacteristic
167C4×#10625336C2211yescharacteristic
168#15689208C2211yescharacteristic
169#15689208C2211yescharacteristic
170#15689208C2211yescharacteristic
171C4×D376C2211yescharacteristic
172C4×D376C2211yescharacteristic
173#15689205C2211yescharacteristic
174#15689205C2211yescharacteristic
175#15689205C2211yescharacteristic
176#15689205C2211yescharacteristic
177#15689205C2211yescharacteristic
178#15689205C2211yescharacteristic
179C4×#10625334C2211yescharacteristic
180#15689203C2211yescharacteristic
181#15689203C2211yescharacteristic
182#15689203C2211yescharacteristic
183#15689184C2211yescharacteristic
184#15689181C2211yescharacteristic
185#15689181C2211yescharacteristic
186#15689173C2211yescharacteristic
187#15689173C2211yescharacteristic
188C47×#544C2211yescharacteristic
189C47×#542C2211yescharacteristic
190C47×#501C2211yescharacteristic, complemented
191C47×#500C2211yescharacteristic, complemented
192C47×#489C2211yescharacteristic, complemented
193C47×#488C2211yescharacteristic, complemented
194C47×#485C2211yescharacteristic
195C47×#484C2211yescharacteristic
196C47×#482C2211yescharacteristic
197C47×#480C2211yescharacteristic
198C47×#479C2211yescharacteristic, complemented
199C47×#478C2211yescharacteristic, complemented
200C47×#477C2211yescharacteristic, complemented
201C47×#474C2211yescharacteristic, complemented
202C47×#433C2211yescharacteristic
203C2×#10625350—21no—
204C2×#10625352—21no—
205C2×Q8×D47—21no—
206C2×Q8×D47—21no—
207C2×Q8×D47—21no—
208C22×D188C2311yescharacteristic
209C22×C4×D47—21no—
210C2×#10625336C2311yescharacteristic
211C2×#10625336C2311yescharacteristic
212C2×D376C2311yescharacteristic
213C2×D376C2311yescharacteristic
214C2×D376C2311yescharacteristic
215C2×D376C2311yescharacteristic
216C2×#10625334C2311yescharacteristic
217C2×#10625334C2311yescharacteristic
218#13094023—21no—
219#13094023—21no—
220#13094023D411yescharacteristic
221#13094023D411yescharacteristic
222#13094023C2311yescharacteristic
223#13094023C2311yescharacteristic
224#13094023C2311yescharacteristic
225#13094023C2311yescharacteristic
226#13094023C2311yescharacteristic
227#13094023C2311yescharacteristic
228#13094021C2311yescharacteristic
229#13094020C2311yescharacteristic
230#13094020C2311yescharacteristic
231#13094019—21no—
232#13094019—21no—
233#13094016—21no—
234#13094016C2311yescharacteristic
235#13094015—21no—
236#13094015—21no—
237#13094015D411yescharacteristic
238#13094015D411yescharacteristic
239#13094015C2311yescharacteristic
240#13094015C2311yescharacteristic
241#13094015C2311yescharacteristic
242#13094015C2311yescharacteristic
243#13094015C2311yescharacteristic
244#13094015C2311yescharacteristic
245#13094013C2311yescharacteristic
246#13094013C2311yescharacteristic
247#13094012—21no—
248#13094010—21no—
249#13094010—21no—
250#13094010—21no—
251#13094010—21no—
252#13094009—21no—
253#13094009—21no—
254#13094009—21no—
255#13094009—21no—
256#13094008—21no—
257#13094008—21no—
258#13094008—21no—
259#13094008—21no—
260#13094006—21no—
261#13094006—21no—
262#13094006—21no—
263#13094006—21no—
264#13094004—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#13094002—21no—
276#13094002—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#13094001—21no—
290#13094001—21no—
291#13094001—21no—
292#13094001—21no—
293#13094001D411yescharacteristic
294#13094001D411yescharacteristic
295#13094001D411yescharacteristic
296#13094001D411yescharacteristic
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#13093998—21no—
307#13093998C2311yescharacteristic
308#13093998C2311yescharacteristic
309#13093997—21no—
310#13093997—21no—
311#13093997—21no—
312#13093997—21no—
313#13093996—21no—
314#13093996—21no—
315#13093995—21no—
316Q8×Dic47C2311yescharacteristic
317Q8×Dic47C2311yescharacteristic
318C4×Dic94—21no—
319C4×Dic94—21no—
320C4×Dic94—21no—
321C4×Dic94C2311yescharacteristic
322C4×Dic94C2311yescharacteristic
323C4×Dic94C2311yescharacteristic
324C4×Dic94C2311yescharacteristic
325C4×D188—21no—
326C4×D188—21no—
327C4×D188—21no—
328C4×D188C2311yescharacteristic
329C4×D188C2311yescharacteristic
330C4×D188C2311yescharacteristic
331C4×D188C2311yescharacteristic
332C4×D188C2311yescharacteristic
333C4×D188C2311yescharacteristic
334D4×Dic47C2311yescharacteristic
335D4×Dic47C2311yescharacteristic
336#13093986—21no—
337#13093986—21no—
338#13093986—21no—
339#13093986—21no—
340#13093986C2311yescharacteristic
341#13093986C2311yescharacteristic
342#13093986C2311yescharacteristic
343#13093986C2311yescharacteristic
344#13093986C2311yescharacteristic
345#13093986C2311yescharacteristic
346#13093986C2311yescharacteristic
347#13093986C2311yescharacteristic
348#13093986C2311yescharacteristic
349#13093986C2311yescharacteristic
350#13093986C2311yescharacteristic
351#13093986C2311yescharacteristic
352(C22⋊D47)⋊C4—21no—
353(C22⋊D47)⋊C4—21no—
354(C22⋊D47)⋊C4—21no—
355(C22⋊D47)⋊C4—21no—
356#13093983C2311yescharacteristic
357#13093983C2311yescharacteristic
358#13093982—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×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#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#13093948C2311yescharacteristic
400#13093948C2311yescharacteristic
401#13093946C2311yescharacteristic
402#13093946C2311yescharacteristic
403#13093946C2311yescharacteristic
404#13093946C2311yescharacteristic
405#13093946C2311yescharacteristic
406#13093946C2311yescharacteristic
407#13093946C2311yescharacteristic
408#13093946C2311yescharacteristic
409#13093945C2311yescharacteristic
410#13093945C2311yescharacteristic
411#13093944C2311yescharacteristic
412#13093944C2311yescharacteristic
413#13093944C2311yescharacteristic
414#13093944C2311yescharacteristic
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
438C4⋊Q8×C47C2311yescharacteristic
439#126×C47—21no—
440#125×C47—21no—
441#125×C47C2311yescharacteristic
442#125×C47C2311yescharacteristic
443#124×C47—21no—
444#124×C47C2311yescharacteristic
445#123×C47—21no—
446C22⋊Q8×C47—21no—
447C22⋊Q8×C47—21no—
448C22⋊Q8×C47—21no—
449C22⋊Q8×C47C2311yescharacteristic
450#121×C47C2311yescharacteristic
451C4×Q8×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#107×C47C2311yescharacteristic
461#107×C47C2311yescharacteristic
462#106×C47C2311yescharacteristic
463#106×C47C2311yescharacteristic
464C4⋊C8×C47C2311yescharacteristic
465C4⋊C8×C47C2311yescharacteristic
466#103×C47C2311yescharacteristic
467#103×C47C2311yescharacteristic
468#103×C47C2311yescharacteristic
469#103×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×Q8×C47—21no—
482C2×Q8×C47C2411yescharacteristic
483C2×D4×C47—21no—
484C2×D4×C47C2411yescharacteristic
485C22×C4×C47—21no—
486C22×C4×C47—21no—
487C22×C4×C47C2411yescharacteristic
488C2×C22⋊D47—21no—
489C2×C22⋊D47—21no—
490C2×C22⋊D47—21no—
491C2×C22⋊D47—21no—
492C2×C22⋊D47—21no—
493C2×C22⋊D47—21no—
494C22×Dic47—21no—
495C22×Dic47—21no—
496C22×Dic47C2×D411yescharacteristic
497C22×Dic47C2×D411yescharacteristic
498Q8×D47—82no—
499Q8×D47—82no—
500Q8×D47—82no—
501#10625352—82no—
502#10625350—82no—
503C2×D188—21no—
504C2×D188—22no—
505C2×D188—22no—
506C2×D188—21no—
507C2×D188—21no—
508C2×D188C2411yescharacteristic
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—21no—
528C2×C4×D47—21no—
529C2×C4×D47—21no—
530C2×C4×D47—82no—
531C2×Dic94—21no—
532C2×Dic94—21no—
533C2×Dic94—21no—
534C2×Dic94—21no—
535C2×Dic94—21no—
536C2×Dic94—21no—
537C2×Dic94C2×D411yescharacteristic
538C2×Dic94C2×D411yescharacteristic
539C2×Dic94C2×D411yescharacteristic
540C2×Dic94C2×D411yescharacteristic
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×C47—21no—
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—
569C22⋊C4×C47C2×D411yescharacteristic
570C22⋊C4×C47C2×D411yescharacteristic
571C42×C47—21no—
572C42×C47—21no—
573C42×C47C2411yescharacteristic
574C42×C47C2411yescharacteristic
575C22⋊Dic47—21no—
576C22⋊Dic47—21no—
577C22⋊Dic47—21no—
578C22⋊Dic47C2×D411yescharacteristic
579C22⋊Dic47C2×D411yescharacteristic
580#10625336—22no—
581#10625336—22no—
582#10625334—22no—
583#10625334—22no—
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)⋊C4—21no—
604(C2×D47)⋊C4—21no—
605(C2×D47)⋊C4—21no—
606(C2×D47)⋊C4—21no—
607(C2×D47)⋊C4—21no—
608C4⋊Dic47—21no—
609C4⋊Dic47—21no—
610C4⋊Dic47—21no—
611C4⋊Dic47—21no—
612C4⋊Dic47—21no—
613C4⋊Dic47—21no—
614C4⋊Dic47—21no—
615C4⋊Dic47—21no—
616C4⋊Dic47C2×D411yescharacteristic
617C4⋊Dic47C2×D411yescharacteristic
618C4⋊Dic47C2×D411yescharacteristic
619C4⋊Dic47C2×D411yescharacteristic
620C4⋊Dic47C2×D411yescharacteristic
621C4⋊Dic47C2×D411yescharacteristic
622C4⋊Dic47C2411yescharacteristic
623C4⋊Dic47C2411yescharacteristic
624C4⋊Dic47C2411yescharacteristic
625C4⋊Dic47C2411yescharacteristic
626Dic47⋊C4—21no—
627Dic47⋊C4—21no—
628Dic47⋊C4—21no—
629Dic47⋊C4—21no—
630Dic47⋊C4—21no—
631Dic47⋊C4—21no—
632Dic47⋊C4—21no—
633Dic47⋊C4—21no—
634Dic47⋊C4—21no—
635Dic47⋊C4—21no—
636Dic47⋊C4—21no—
637Dic47⋊C4—21no—
638Dic47⋊C4—21no—
639Dic47⋊C4—21no—
640Dic47⋊C4C2×D411yescharacteristic
641Dic47⋊C4C2×D411yescharacteristic
642Dic47⋊C4C2×D411yescharacteristic
643Dic47⋊C4C2×D411yescharacteristic
644Dic47⋊C4C2×D411yescharacteristic
645Dic47⋊C4C2×D411yescharacteristic
646Dic47⋊C4C2×D411yescharacteristic
647Dic47⋊C4C2×D411yescharacteristic
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—
663D376—22no—
664D376—22no—
665C23×C47—21no—
666C23×C47C22×D411yescharacteristic
667C22×D47—21no—
668C22×D47—21no—
669C22×D47—24no—
670C22×D47—21no—
671C22×D47—21no—
672C22×D47—81no—
673C22×D47—81no—
674Q8×C47—21no—
675Q8×C47—21no—
676Q8×C47—81no—
677Q8×C47—81no—
678Q8×C47—81no—
679D4×C47—21no—
680D4×C47—21no—
681D4×C47—81no—
682C2×C4×C47—21no—
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—21no—
690C2×C4×C47—21no—
691C2×C4×C47—81no—
692C2×C4×C47—81no—
693C2×C4×C47C22×D411yescharacteristic
694C2×C4×C47C22×D411yescharacteristic
695C2×C4×C47C22×D411yescharacteristic
696C2×C4×C47C22×D411yescharacteristic
697C2×C4×C47C22×D411yescharacteristic
698C2×C4×C47C2511yescharacteristic
699C22⋊D47—42no—
700C22⋊D47—81no—
701C22⋊D47—81no—
702C22⋊D47—81no—
703C22⋊D47—81no—
704C22⋊D47—81no—
705C2×Dic47—22no—
706C2×Dic47—21no—
707C2×Dic47—21no—
708C2×Dic47—21no—
709C2×Dic47—21no—
710C2×Dic47—41no—
711C2×Dic47—81no—
712C2×Dic47—81no—
713C2×Dic47C22×D411yescharacteristic
714C2×Dic47C22×D411yescharacteristic
715C2×Dic47C22×D411yescharacteristic
716C2×Dic47C22×D411yescharacteristic
717C2×Dic47C22×D411yescharacteristic
718C2×Dic47C22×D411yescharacteristic
719C2×Dic47C22×D411yescharacteristic
720C2×Dic47C22×D411yescharacteristic
721D188—24no—
722D188—21no—
723D188—21no—
724D188—21no—
725D188—21no—
726D188—21no—
727D188—21no—
728D188—81no—
729D188—81no—
730D1882−1+412yes—
731D1882−1+412yes—
732C4×D47—42no—
733C4×D47—42no—
734C4×D47—42no—
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—
747C4×D47—81no—
748C4×D47—81no—
749C4×D47—81no—
750Dic94—22no—
751Dic94—22no—
752Dic94—41no—
753Dic94—41no—
754Dic94—42no—
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#61863—471nomaximal, Sylow
769C22×C47—21no—
770C22×C47—21no—
771C22×C47—21no—
772C22×C47—41no—
773C22×C47—41no—
774C22×C47—41no—
775C22×C47C23×D411yescharacteristic
776C2×D47—22no—
777C2×D47—22no—
778C2×D47—41no—
779C2×D47—41no—
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—41no—
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#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#3243D4711yescharacteristic, complemented
835#3241—471no—
836#3241—471no—
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#348611yescharacteristic
849C2×C47C2×#57611yescharacteristic
850C2×C47#358411yescharacteristic
851D47—42no—
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—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—941no—
885#542C2×D4711yescharacteristic
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#501C2×D4711yescharacteristic, complemented
904#500—471no—
905#500—471no—
906#500C2×D4711yescharacteristic, complemented
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#489C2×D4711yescharacteristic, complemented
916#488—471no—
917#488—471no—
918#488—471no—
919#488C2×D4711yescharacteristic, complemented
920#486—471no—
921#486—471no—
922#486—471no—
923#486—471no—
924#485—471no—
925#485C2×D4711yescharacteristic
926#484C2×D4711yescharacteristic
927#482—471no—
928#482—471no—
929#482—471no—
930#482—471no—
931#482—471no—
932#482C2×D4711yescharacteristic
933#481—471no—
934#480—471no—
935#480C2×D4711yescharacteristic
936#479—471no—
937#479C2×D4711yescharacteristic, complemented
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#478—471no—
953#478C2×D4711yescharacteristic, complemented
954#477—471no—
955#477—471no—
956#477C2×D4711yescharacteristic, complemented
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#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—941no—
1052C4⋊Q8—941no—
1053C4⋊Q8C22×D4711yescharacteristic
1054C4⋊Q8C22×D4711yescharacteristic
1055C4⋊Q8C22×D4711yescharacteristic
1056#127—471no—
1057#127—471no—
1058#127—471no—
1059#126—21no—
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—471no—
1072#125—941no—
1073#125—941no—
1074#125—941no—
1075#125C22×D4711yescharacteristic
1076#125C22×D4711yescharacteristic
1077#124—21no—
1078#124—471no—
1079#124—471no—
1080#124—941no—
1081#124—941no—
1082#124—941no—
1083#124—941no—
1084#124—941no—
1085#124C22×D4711yescharacteristic
1086#123—21no—
1087#123—941no—
1088#123—941no—
1089#123—941no—
1090#123—941no—
1091#123—941no—
1092#123—941no—
1093#123—941no—
1094#123—941no—
1095#123—941no—
1096#123—941no—
1097#123—941no—
1098#123—941no—
1099C22⋊Q8—21no—
1100C22⋊Q8—21no—
1101C22⋊Q8—21no—
1102C22⋊Q8—471no—
1103C22⋊Q8—471no—
1104C22⋊Q8—471no—
1105C22⋊Q8—471no—
1106C22⋊Q8—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⋊Q8C22×D4711yescharacteristic
1145#121—471no—
1146#121—471no—
1147#121—941no—
1148#121—941no—
1149#121—941no—
1150#121—941no—
1151#121—941no—
1152#121—941no—
1153#121—941no—
1154#121—941no—
1155#121C22×D4711yescharacteristic
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—471no—
1182C4×D4—471no—
1183C4×D4—471no—
1184C4×D4—471no—
1185C4×D4—471no—
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×D4—941no—
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#107C22×D4711yescharacteristic
1227#107C22×D4711yescharacteristic
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#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#103C22×D4711yescharacteristic
1257#103C22×D4711yescharacteristic
1258#103C22×D4711yescharacteristic
1259#103C22×D4711yescharacteristic
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#102—471no—
1281#102—471no—
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—21no—
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—3762no—
1319C2×Q8—3762no—
1320C2×Q8—3762no—
1321C2×Q8C23×D4711yescharacteristic
1322C2×D4—21no—
1323C2×D4—471no—
1324C2×D4—471no—
1325C2×D4—471no—
1326C2×D4—471no—
1327C2×D4—942no—
1328C2×D4—942no—
1329C2×D4—941no—
1330C2×D4—941no—
1331C2×D4—941no—
1332C2×D4—941no—
1333C2×D4—941no—
1334C2×D4—941no—
1335C2×D4—941no—
1336C2×D4—941no—
1337C2×D4—941no—
1338C2×D4C23×D4711yescharacteristic
1339C22×C4—21no—
1340C22×C4—21no—
1341C22×C4—471no—
1342C22×C4—471no—
1343C22×C4—941no—
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—21no—
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—471no—
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—21no—
1445C22⋊C4—471no—
1446C22⋊C4—471no—
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—21no—
1478C42—471no—
1479C42—471no—
1480C42—471no—
1481C42—471no—
1482C42—471no—
1483C42—471no—
1484C42—941no—
1485C42—941no—
1486C42—941no—
1487C42C23×D4711yescharacteristic
1488C42C23×D4711yescharacteristic
1489C23—21no—
1490C23—944no—
1491C23—941no—
1492C23—941no—
1493C23—941no—
1494C23—941no—
1495C23—3761no—
1496C23—3761no—
1497C23C2×D4×D4711yescharacteristic
1498Q8—21no—
1499Q8—21no—
1500Q8—81no—
1501Q8—81no—
1502Q8—81no—
1503Q8—942no—
1504Q8—942no—
1505Q8—3761no—
1506Q8—3761no—
1507Q8—3761no—
1508Q8—3761no—
1509Q8—1881no—
1510Q8—1881no—
1511Q8—1882no—
1512Q8—1882no—
1513D4—21no—
1514D4—21no—
1515D4—81no—
1516D4—472no—
1517D4—472no—
1518D4—944no—
1519D4—941no—
1520D4—941no—
1521D4—941no—
1522D4—941no—
1523D4—941no—
1524D4—941no—
1525D4—3761no—
1526D4—3761no—
1527D4—3761no—
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—21no—
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—3761no—
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—942no—
1599C22—942no—
1600C22—3764no—
1601C22—1881no—
1602C22—1881no—
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—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C4—472no—
1625C4—941no—
1626C4—941no—
1627C4—941no—
1628C4—941no—
1629C4—941no—
1630C4—941no—
1631C4—941no—
1632C4—1881no—
1633C4—1881no—
1634C4—1881no—
1635C4—1881no—
1636C42−1+4×D4711yescharacteristic
1637C42−1+4×D4711yescharacteristic
1638C2—41no—
1639C2—81no—
1640C2—3761no—
1641C2—3761no—
1642C2—1882no—
1643C2—1882no—
1644C2#2025703711yescharacteristic
1645C2#576×D4711yescharacteristic
1646C2#2025815811yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3243C2
socleC22×C47C23×D4
hypercenter#3243D47
hypocenterC47#61863
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ #117 ◁ #3243

Complements

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

NH ≅ G/Ntype
1. #20257857C2semidirect
2. #20257190C2semidirect
3. #20256343C2semidirect
4. #20256341C2semidirect
5. #20256312C2semidirect
6. #20256284C2semidirect
7. #20256266C2semidirect
8. #20256257C2semidirect
9. #20256250C2semidirect
10. #20256240C2semidirect
11. #20256177C2semidirect
12. #20256144C2semidirect
13. #20256140C2semidirect
14. #20256098C2semidirect
15. #20256047C2semidirect
16. #20256045C2semidirect
17. #20256045C2semidirect
18. #20256022C2semidirect
19. #20254675C2semidirect
20. #20254641C2semidirect
21. #20254637C2semidirect
22. #20254570C2semidirect
23. #20254522C2semidirect
24. #20253632C2semidirect
25. #20253627C2semidirect
26. #20253575C2semidirect
27. #20253566C2semidirect
28. #20253438C2semidirect
29. #20253385C2semidirect
30. #20252487C2semidirect
31. C47×#3243C2semidirect
34. #15689858C22semidirect
35. #15689855C22semidirect
36. #15689855C22semidirect
37. #15689849C22semidirect
41. #15689834C22semidirect
42. #15689832C22semidirect
49. #15689794C22semidirect
53. #15689788C22semidirect
75. #15689531C22semidirect
76. #15689531C22semidirect
77. #15689529C22semidirect
78. #15689527C22semidirect
79. #15689527C22semidirect
80. #15689524C22semidirect
81. #15689524C22semidirect
82. #15689523C22semidirect
83. #15689522C22semidirect
84. #15689520C22semidirect
85. #15689489C22semidirect
86. #15689486C22semidirect
87. #15689484C22semidirect
88. #15689479C22semidirect
89. #15689479C22semidirect
90. #15689479C22semidirect
91. #15689471C22semidirect
92. #15689468C22semidirect
93. #15689468C22semidirect
94. #15689468C22semidirect
103. #15689428C22semidirect
107. #15689426C22semidirect
108. #15689426C22semidirect
109. #15689426C22semidirect
110. #15689425C22semidirect
114. #15689422C22semidirect
115. #15689421C22semidirect
116. #15689421C22semidirect
117. #15689420C22semidirect
118. #15689420C22semidirect
119. #15689416C22semidirect
120. #15689416C22semidirect
122. #15689412C22semidirect
123. #15689411C22semidirect
125. #15689410C22semidirect
126. #15689406C22semidirect
130. #15689402C22semidirect
131. #15689402C22semidirect
132. #15689402C22semidirect
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×#500C22semidirect
192. C47×#489C22semidirect
193. C47×#488C22semidirect
198. C47×#479C22semidirect
199. C47×#478C22semidirect
200. C47×#477C22semidirect
201. C47×#474C22semidirect
834. #3243D47semidirect
903. #501C2×D47semidirect
906. #500C2×D47semidirect
915. #489C2×D47semidirect
919. #488C2×D47semidirect
937. #479C2×D47semidirect
953. #478C2×D47semidirect
956. #477C2×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
#202578572
#202571902
#202563432
#202563412
#202563122
#202562842
#202562662
#202562572
#202562502
#202562402
#202561772
#202561442
#202561402
#202560982
#202560472
#202560452
#202560222
#202546752
#202546412
#202546372
#202545702
#202545222
#202536322
#202536272
#202535752
#202535662
#202534382
#202533852
#202524872
C47×#32432
#6186347