Finite Group Databasebeta

← #27107152

Subgroups — #27107152

Order 12032.

1666 conjugacy classes of subgroups.

The subgroup lattice has 1602 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257872C211yesmaximal, characteristic, complemented
2#20257187C211yesmaximal, characteristic, complemented
3#20256348C211yesmaximal, characteristic, complemented
4#20256342C211yesmaximal, characteristic, complemented
5#20256331C211yesmaximal, characteristic, complemented
6#20256329C211yesmaximal, characteristic, complemented
7#20256312C211yesmaximal, characteristic, complemented
8#20256310C211yesmaximal, characteristic, complemented
9#20256301C211yesmaximal, characteristic, complemented
10#20256299C211yesmaximal, characteristic, complemented
11#20256210C211yesmaximal, characteristic, complemented
12#20256210C211yesmaximal, characteristic, complemented
13#20256208C211yesmaximal, characteristic, complemented
14#20256208C211yesmaximal, characteristic, complemented
15#20256165C211yesmaximal, characteristic, complemented
16#20256111C211yesmaximal, characteristic, complemented
17#20256110C211yesmaximal, characteristic, complemented
18#20254678C211yesmaximal, characteristic, complemented
19#20254676C211yesmaximal, characteristic, complemented
20#20254651C211yesmaximal, characteristic, complemented
21#20254649C211yesmaximal, characteristic, complemented
22#20254633C211yesmaximal, characteristic, complemented
23#20254597C211yesmaximal, characteristic, complemented
24#20253638C211yesmaximal, characteristic, complemented
25#20253638C211yesmaximal, characteristic, complemented
26#20253578C211yesmaximal, characteristic
27#20253576C211yesmaximal, characteristic
28#20253530C211yesmaximal, characteristic
29#20253486C211yesmaximal, characteristic, complemented
30#20252491C211yesmaximal, characteristic, complemented
31C47×#3372C211yesmaximal, characteristic, complemented
32#15689877—21no—
33#15689877—21no—
34Q8×Dic94C2211yescharacteristic, complemented
35#15689849C2211yescharacteristic, complemented
36#15689849C2211yescharacteristic, complemented
37#15689847C2211yescharacteristic, complemented
38#15689847C2211yescharacteristic, complemented
39#15689847C2211yescharacteristic, complemented
40#15689846—21no—
41#15689833C2211yescharacteristic
42#15689833C2211yescharacteristic, complemented
43#15689832C2211yescharacteristic
44#15689832C2211yescharacteristic
45#15689829C2211yescharacteristic
46#15689829C2211yescharacteristic
47#15689828—21no—
48#15689827—21no—
49#15689827—21no—
50#15689811—21no—
51D4×Dic94C2211yescharacteristic
52#15689788C2211yescharacteristic
53#15689786—21no—
54#15689753—21no—
55#15689753C2211yescharacteristic
56#15689750C2211yescharacteristic
57#15689748—21no—
58#15689748—21no—
59#15689745C2211yescharacteristic
60#15689745C2211yescharacteristic
61#15689734C2211yescharacteristic
62#15689734C2211yescharacteristic
63#15689732—21no—
64#15689732—21no—
65#15689731—21no—
66#15689679C2211yescharacteristic
67#15689678C2211yescharacteristic
68#15689677C2211yescharacteristic
69#15689660C2211yescharacteristic
70C2×#13094002—21no—
71C22⋊Q8×D47—21no—
72#15689595C2211yescharacteristic
73#15689595C2211yescharacteristic
74C4×D4×D47C2211yescharacteristic
75#15689533C2211yescharacteristic, complemented
76#15689532C2211yescharacteristic, complemented
77#15689532C2211yescharacteristic, complemented
78#15689531C2211yescharacteristic, complemented
79#15689531C2211yescharacteristic, complemented
80#15689530C2211yescharacteristic, complemented
81#15689530C2211yescharacteristic, complemented
82#15689529C2211yescharacteristic, complemented
83#15689527C2211yescharacteristic, complemented
84#15689527C2211yescharacteristic, complemented
85#15689525C2211yescharacteristic, complemented
86#15689522C2211yescharacteristic, complemented
87#15689491C2211yescharacteristic, complemented
88#15689491C2211yescharacteristic, complemented
89#15689484C2211yescharacteristic, complemented
90#15689484C2211yescharacteristic, complemented
91#15689484C2211yescharacteristic, complemented
92#15689484C2211yescharacteristic, complemented
93#15689479C2211yescharacteristic, complemented
94#15689479C2211yescharacteristic, complemented
95#15689473C2211yescharacteristic, complemented
96#15689463C2211yescharacteristic
97#15689463C2211yescharacteristic
98#15689463C2211yescharacteristic
99#15689462C2211yescharacteristic
100#15689462C2211yescharacteristic
101#15689462C2211yescharacteristic
102#15689457C2211yescharacteristic
103#15689457C2211yescharacteristic
104#15689452C2211yescharacteristic
105#15689450C2211yescharacteristic
106#15689449C2211yescharacteristic
107#15689438C2211yescharacteristic
108#15689432C2211yescharacteristic, complemented
109#15689432C2211yescharacteristic, complemented
110#15689430C2211yescharacteristic, complemented
111#15689430C2211yescharacteristic, complemented
112#15689428C2211yescharacteristic, complemented
113#15689428C2211yescharacteristic, complemented
114#15689426C2211yescharacteristic
115#15689425C2211yescharacteristic
116#15689424C2211yescharacteristic
117#15689424C2211yescharacteristic
118#15689424C2211yescharacteristic, complemented
119#15689424C2211yescharacteristic, complemented
120#15689423C2211yescharacteristic
121#15689423C2211yescharacteristic
122#15689420C2211yescharacteristic, complemented
123#15689420C2211yescharacteristic, complemented
124#15689418C2211yescharacteristic, complemented
125#15689416C2211yescharacteristic, complemented
126#15689416C2211yescharacteristic, complemented
127#15689416C2211yescharacteristic, complemented
128#15689416C2211yescharacteristic, complemented
129#15689412C2211yescharacteristic
130#15689411C2211yescharacteristic
131#15689406C2211yescharacteristic, complemented
132#15689406C2211yescharacteristic, complemented
133#15689406C2211yescharacteristic, complemented
134#15689406C2211yescharacteristic, complemented
135#15689404C2211yescharacteristic
136#15689404C2211yescharacteristic, complemented
137#15689403C2211yescharacteristic
138#15689402C2211yescharacteristic
139#15689401C2211yescharacteristic
140#15689400C2211yescharacteristic, complemented
141#15689341C2211yescharacteristic
142#15689341C2211yescharacteristic
143#15689341C2211yescharacteristic
144#15689340C2211yescharacteristic
145#15689340C2211yescharacteristic
146#15689340C2211yescharacteristic
147#15689325C2211yescharacteristic
148#15689325C2211yescharacteristic
149#15689325C2211yescharacteristic
150#15689272C2211yescharacteristic
151#15689272C2211yescharacteristic
152#15689272C2211yescharacteristic
153#15689258C2211yescharacteristic
154#15689254C2211yescharacteristic, complemented
155#15689253C2211yescharacteristic, complemented
156#15689252C2211yescharacteristic, complemented
157#15689252C2211yescharacteristic, complemented
158#15689251C2211yescharacteristic, complemented
159#15689251C2211yescharacteristic, complemented
160#15689250C2211yescharacteristic, complemented
161#15689236C2211yescharacteristic
162#15689236C2211yescharacteristic
163#15689233C2211yescharacteristic
164#15689233C2211yescharacteristic
165#15689226C2211yescharacteristic
166#15689226C2211yescharacteristic
167#15689226C2211yescharacteristic
168#15689226C2211yescharacteristic
169#15689224C2211yescharacteristic
170#15689224C2211yescharacteristic
171#15689224C2211yescharacteristic
172#15689224C2211yescharacteristic
173#15689221C2211yescharacteristic
174#15689221C2211yescharacteristic
175SD16×Dic47C2211yescharacteristic
176SD16×Dic47C2211yescharacteristic
177C4×#10625336C2211yescharacteristic
178#15689208C2211yescharacteristic
179#15689208C2211yescharacteristic
180C4×D376C2211yescharacteristic
181C4×#10625334C2211yescharacteristic
182#15689185C2211yescharacteristic
183#15689183C2211yescharacteristic
184#15689183C2211yescharacteristic
185#15689182C2211yescharacteristic
186#15689179C2211yescharacteristic
187#15689178C2211yescharacteristic
188C47×#557C2211yescharacteristic, complemented
189C47×#554C2211yescharacteristic
190C47×#491C2211yescharacteristic, complemented
191C47×#491C2211yescharacteristic, complemented
192C47×#487C2211yescharacteristic, complemented
193C47×#479C2211yescharacteristic, complemented
194C47×#479C2211yescharacteristic, complemented
195C47×#477C2211yescharacteristic, complemented
196C47×#461C2211yescharacteristic
197C47×#461C2211yescharacteristic
198C47×#461C2211yescharacteristic
199C47×#446C2211yescharacteristic, complemented
200C47×#440C2211yescharacteristic
201C47×#440C2211yescharacteristic
202C4×SD16×C47C2211yescharacteristic
203C22×Dic94—21no—
204C2×Q8×D47—21no—
205C2×D4×D47C2311yescharacteristic
206C22×C4×D47—21no—
207C2×#10625336C2311yescharacteristic
208C2×#10625336C2311yescharacteristic
209C2×#10625336C2311yescharacteristic
210C2×D376C2311yescharacteristic
211C2×#10625334C2311yescharacteristic
212#13094024—21no—
213#13094024C2311yescharacteristic
214#13094024C2311yescharacteristic
215#13094023—21no—
216#13094023—21no—
217#13094023—21no—
218#13094023—21no—
219#13094023—21no—
220#13094023D411yescharacteristic
221#13094023C2311yescharacteristic
222#13094023C2311yescharacteristic
223#13094023C2311yescharacteristic
224#13094023C2311yescharacteristic
225#13094023C2311yescharacteristic
226#13094023C2311yescharacteristic
227#13094022—21no—
228#13094022D411yescharacteristic
229#13094019—21no—
230#13094019—21no—
231#13094019—21no—
232#13094019—21no—
233#13094019—21no—
234#13094019—21no—
235#13094019—21no—
236#13094019—21no—
237#13094019—21no—
238#13094019—21no—
239#13094019—21no—
240#13094018—21no—
241#13094018—21no—
242#13094016—21no—
243#13094016—21no—
244#13094016C2311yescharacteristic
245#13094016C2311yescharacteristic
246#13094016C2311yescharacteristic
247#13094016C2311yescharacteristic
248#13094015—21no—
249#13094015—21no—
250#13094015—21no—
251#13094015C2311yescharacteristic
252#13094015C2311yescharacteristic
253#13094015C2311yescharacteristic
254#13094014—21no—
255#13094014—21no—
256#13094014—21no—
257#13094014—21no—
258#13094014—21no—
259#13094014—21no—
260#13094014D411yescharacteristic
261#13094014D411yescharacteristic
262#13094013C2311yescharacteristic
263#13094013C2311yescharacteristic
264#13094013C2311yescharacteristic
265#13094012—21no—
266#13094012—21no—
267#13094009—21no—
268#13094009—21no—
269#13094009—21no—
270#13094004—21no—
271#13094004—21no—
272#13094004—21no—
273#13094004—21no—
274#13094004—21no—
275#13094004—21no—
276#13094004—21no—
277#13094004D411yescharacteristic
278#13094003—21no—
279#13094003—21no—
280#13094003—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#13094002—21no—
293#13094002—21no—
294#13094002—21no—
295#13094002—21no—
296#13094002—21no—
297#13094002D411yescharacteristic
298#13094002D411yescharacteristic
299#13094001—21no—
300#13094001—21no—
301#13094001—21no—
302#13094001—21no—
303#13094001—21no—
304#13094001—21no—
305#13094000—21no—
306#13094000—21no—
307#13094000—21no—
308#13094000—21no—
309#13094000D411yescharacteristic
310#13094000C2311yescharacteristic
311#13094000C2311yescharacteristic
312#13094000C2311yescharacteristic
313#13093999C2311yescharacteristic
314Q8×Dic47C2311yescharacteristic
315Q8×Dic47C2311yescharacteristic
316Q8×Dic47C2311yescharacteristic
317Q8×Dic47C2311yescharacteristic
318Q8×Dic47C2311yescharacteristic
319Q8×Dic47C2311yescharacteristic
320C4×Dic94—21no—
321C4×Dic94—21no—
322C4×Dic94—21no—
323C4×Dic94C2311yescharacteristic
324C4×Dic94C2311yescharacteristic
325C4×Dic94C2311yescharacteristic
326#13093989—21no—
327#13093989—21no—
328#13093989—21no—
329C4×D188—21no—
330C4×D188C2311yescharacteristic
331C4×D188C2311yescharacteristic
332C4×D188C2311yescharacteristic
333C4×D188C2311yescharacteristic
334C4×D188C2311yescharacteristic
335C4×D188C2311yescharacteristic
336D4×Dic47C2311yescharacteristic
337D4×Dic47C2311yescharacteristic
338D4×Dic47C2311yescharacteristic
339#13093986C2311yescharacteristic
340#13093986C2311yescharacteristic
341#13093986C2311yescharacteristic
342C4×C22⋊D47—21no—
343C4×C22⋊D47—21no—
344C4×C22⋊D47—21no—
345(C22⋊D47)⋊C4—21no—
346(C22⋊D47)⋊C4—21no—
347(C22⋊D47)⋊C4—21no—
348#13093982—21no—
349#13093982—21no—
350#13093982—21no—
351#13093982—21no—
352#13093982C2311yescharacteristic
353#13093982C2311yescharacteristic
354#13093981—21no—
355#13093981C2311yescharacteristic
356#13093981C2311yescharacteristic
357C2×Dic47⋊C4—21no—
358C2×Dic47⋊C4—21no—
359C4⋊C4×D47—21no—
360C4⋊C4×D47—21no—
361C4⋊C4×D47—21no—
362C4⋊C4×D47—21no—
363C4⋊C4×D47C2311yescharacteristic
364C2×(C2×D47)⋊C4—21no—
365C2×(C2×D47)⋊C4—21no—
366C22⋊C4×D47—21no—
367C22⋊C4×D47—21no—
368C22⋊C4×D47—21no—
369C42×D47C2311yescharacteristic
370#13093958C2311yescharacteristic
371#13093958C2311yescharacteristic
372#13093958C2311yescharacteristic
373#13093958C2311yescharacteristic
374#13093958C2311yescharacteristic
375#13093957C2311yescharacteristic
376#13093957C2311yescharacteristic
377#13093957C2311yescharacteristic
378#13093957C2311yescharacteristic
379#13093957C2311yescharacteristic
380#13093957C2311yescharacteristic
381#13093957C2311yescharacteristic
382#13093956C2311yescharacteristic
383#13093956C2311yescharacteristic
384#13093956C2311yescharacteristic
385#13093956C2311yescharacteristic
386#13093955C2311yescharacteristic
387#13093955C2311yescharacteristic
388#13093955C2311yescharacteristic
389#13093955C2311yescharacteristic
390#13093955C2311yescharacteristic
391C4⋊(C47⋊C8)C2311yescharacteristic
392C4⋊(C47⋊C8)C2311yescharacteristic
393C4⋊(C47⋊C8)C2311yescharacteristic
394Dic47⋊C8C2311yescharacteristic
395Dic47⋊C8C2311yescharacteristic
396Dic47⋊C8C2311yescharacteristic
397Dic47⋊C8C2311yescharacteristic
398Dic47⋊C8C2311yescharacteristic
399Dic47⋊C8C2311yescharacteristic
400#13093948C2311yescharacteristic
401#13093948C2311yescharacteristic
402#13093948C2311yescharacteristic
403#13093948C2311yescharacteristic
404#13093948C2311yescharacteristic
405#13093948C2311yescharacteristic
406#13093948C2311yescharacteristic
407#13093948C2311yescharacteristic
408#13093948C2311yescharacteristic
409#13093946C2311yescharacteristic
410#13093946C2311yescharacteristic
411#13093946C2311yescharacteristic
412#13093946C2311yescharacteristic
413#13093946C2311yescharacteristic
414#13093946C2311yescharacteristic
415#13093945C2311yescharacteristic
416#13093945C2311yescharacteristic
417#13093945C2311yescharacteristic
418#13093944C2311yescharacteristic
419#13093944C2311yescharacteristic
420#13093944C2311yescharacteristic
421#13093944C2311yescharacteristic
422(C2×D47)⋊C8C2311yescharacteristic
423(C2×D47)⋊C8C2311yescharacteristic
424(C2×D47)⋊C8C2311yescharacteristic
425(C2×D47)⋊C8C2311yescharacteristic
426#13093935C2311yescharacteristic
427#13093935C2311yescharacteristic
428#13093934C2311yescharacteristic
429#13093934C2311yescharacteristic
430#13093934C2311yescharacteristic
431#13093934C2311yescharacteristic
432C4×C47⋊C8C2311yescharacteristic
433C8×Dic47C2311yescharacteristic
434C8×Dic47C2311yescharacteristic
435C2×SD16×C47C2311yescharacteristic
436C2×SD16×C47C2311yescharacteristic
437C2×SD16×C47C2311yescharacteristic
438C4⋊Q8×C47C2311yescharacteristic
439C4⋊Q8×C47C2311yescharacteristic
440C4⋊Q8×C47C2311yescharacteristic
441C4⋊Q8×C47C2311yescharacteristic
442#125×C47—21no—
443#125×C47—21no—
444#125×C47—21no—
445#125×C47C2311yescharacteristic
446#125×C47C2311yescharacteristic
447C22⋊Q8×C47—21no—
448C22⋊Q8×C47—21no—
449C22⋊Q8×C47—21no—
450C4×Q8×C47—21no—
451C4×Q8×C47C2311yescharacteristic
452C4×Q8×C47C2311yescharacteristic
453C4×Q8×C47C2311yescharacteristic
454C4×Q8×C47C2311yescharacteristic
455C4×D4×C47C2311yescharacteristic
456C4×D4×C47C2311yescharacteristic
457C4×D4×C47C2311yescharacteristic
458C2×C4⋊C4×C47—21no—
459#107×C47C2311yescharacteristic
460#107×C47C2311yescharacteristic
461#106×C47C2311yescharacteristic
462C4⋊C8×C47C2311yescharacteristic
463C4⋊C8×C47C2311yescharacteristic
464C4⋊C8×C47C2311yescharacteristic
465#103×C47C2311yescharacteristic
466#103×C47C2311yescharacteristic
467#103×C47C2311yescharacteristic
468#103×C47C2311yescharacteristic
469#103×C47C2311yescharacteristic
470#103×C47C2311yescharacteristic
471#103×C47C2311yescharacteristic
472#103×C47C2311yescharacteristic
473#103×C47C2311yescharacteristic
474#102×C47C2311yescharacteristic
475#97×C47C2311yescharacteristic
476#97×C47C2311yescharacteristic
477C4×C8×C47C2311yescharacteristic
478C23×D47—21no—
479C2×Q8×C47—21no—
480C2×Q8×C47C2×D411yescharacteristic
481C2×Q8×C47C2411yescharacteristic
482C2×Q8×C47C2411yescharacteristic
483C2×Q8×C47C2411yescharacteristic
484C2×D4×C47C2411yescharacteristic
485C22×C4×C47—21no—
486C22×C4×C47—21no—
487C22×C4×C47—21no—
488C2×C22⋊D47—21no—
489C22×Dic47—21no—
490C22×Dic47—21no—
491C22×Dic47—21no—
492Q8×D47—82no—
493D4×D47—22no—
494D4×D47—22no—
495C2×D188—21no—
496C2×D188C2411yescharacteristic
497C2×D188C2411yescharacteristic
498C2×C4×D47—21no—
499C2×C4×D47—21no—
500C2×C4×D47—21no—
501C2×C4×D47—21no—
502C2×C4×D47—21no—
503C2×C4×D47—21no—
504C2×C4×D47—21no—
505C2×C4×D47—21no—
506C2×C4×D47—21no—
507C2×C4×D47—21no—
508C2×C4×D47—82no—
509C2×C4×D47C2×D411yescharacteristic
510C2×C4×D47C2×D411yescharacteristic
511C2×C4×D47C2411yescharacteristic
512C2×Dic94—21no—
513C2×Dic94—21no—
514C2×Dic94—21no—
515C2×Dic94—21no—
516C2×Dic94—21no—
517C2×Dic94—21no—
518C2×Dic94—21no—
519C2×Dic94—21no—
520C2×Dic94—82no—
521C2×Dic94C2×D411yescharacteristic
522C2×Dic94C2×D411yescharacteristic
523C2×Dic94C2×D411yescharacteristic
524SD16×C47—22no—
525SD16×C47—22no—
526SD16×C47—22no—
527C2×C8×C47C2411yescharacteristic
528C2×C8×C47C2411yescharacteristic
529C2×C8×C47C2411yescharacteristic
530C2×C8×C47C2411yescharacteristic
531C4⋊C4×C47—21no—
532C4⋊C4×C47—21no—
533C4⋊C4×C47—21no—
534C4⋊C4×C47—21no—
535C4⋊C4×C47—21no—
536C4⋊C4×C47—21no—
537C4⋊C4×C47—21no—
538C4⋊C4×C47—21no—
539C4⋊C4×C47—21no—
540C4⋊C4×C47—21no—
541C4⋊C4×C47—21no—
542C4⋊C4×C47—21no—
543C4⋊C4×C47—21no—
544C4⋊C4×C47—21no—
545C4⋊C4×C47C2×D411yescharacteristic
546C4⋊C4×C47C2×D411yescharacteristic
547C4⋊C4×C47C2×D411yescharacteristic
548C4⋊C4×C47C2411yescharacteristic
549C4⋊C4×C47C2411yescharacteristic
550C4⋊C4×C47C2411yescharacteristic
551C4⋊C4×C47C2411yescharacteristic
552C22⋊C4×C47—21no—
553C22⋊C4×C47—21no—
554C22⋊C4×C47—21no—
555C42×C47—21no—
556C42×C47—21no—
557C42×C47—21no—
558C42×C47C2411yescharacteristic
559C42×C47C2411yescharacteristic
560C42×C47C2411yescharacteristic
561C22⋊Dic47—21no—
562C22⋊Dic47—21no—
563C22⋊Dic47—21no—
564#10625336—22no—
565#10625336—22no—
566#10625336—22no—
567#10625334—22no—
568(C2×D47)⋊C4—21no—
569(C2×D47)⋊C4—21no—
570(C2×D47)⋊C4—21no—
571(C2×D47)⋊C4—21no—
572(C2×D47)⋊C4—21no—
573(C2×D47)⋊C4—21no—
574(C2×D47)⋊C4—21no—
575(C2×D47)⋊C4—21no—
576(C2×D47)⋊C4—21no—
577(C2×D47)⋊C4—21no—
578(C2×D47)⋊C4—21no—
579(C2×D47)⋊C4—21no—
580(C2×D47)⋊C4—21no—
581(C2×D47)⋊C4—21no—
582(C2×D47)⋊C4—21no—
583(C2×D47)⋊C4—21no—
584(C2×D47)⋊C4—21no—
585(C2×D47)⋊C4—21no—
586(C2×D47)⋊C4—21no—
587(C2×D47)⋊C4—21no—
588(C2×D47)⋊C4—21no—
589(C2×D47)⋊C4C2×D411yescharacteristic
590(C2×D47)⋊C4C2×D411yescharacteristic
591(C2×D47)⋊C4C2×D411yescharacteristic
592(C2×D47)⋊C4C2×D411yescharacteristic
593C4⋊Dic47—21no—
594C4⋊Dic47—21no—
595C4⋊Dic47—21no—
596C4⋊Dic47—21no—
597C4⋊Dic47—21no—
598C4⋊Dic47—21no—
599C4⋊Dic47—21no—
600C4⋊Dic47—21no—
601C4⋊Dic47—21no—
602C4⋊Dic47—21no—
603C4⋊Dic47—21no—
604C4⋊Dic47C2×D411yescharacteristic
605C4⋊Dic47C2×D411yescharacteristic
606C4⋊Dic47C2×D411yescharacteristic
607C4⋊Dic47C2411yescharacteristic
608C4⋊Dic47C2411yescharacteristic
609C4⋊Dic47C2411yescharacteristic
610C4⋊Dic47C2411yescharacteristic
611C4⋊Dic47C2411yescharacteristic
612C4⋊Dic47C2411yescharacteristic
613Dic47⋊C4—21no—
614Dic47⋊C4—21no—
615Dic47⋊C4—21no—
616Dic47⋊C4—21no—
617Dic47⋊C4—21no—
618Dic47⋊C4—21no—
619Dic47⋊C4—21no—
620Dic47⋊C4—21no—
621Dic47⋊C4—21no—
622Dic47⋊C4—21no—
623Dic47⋊C4—21no—
624Dic47⋊C4—21no—
625Dic47⋊C4—21no—
626Dic47⋊C4—21no—
627Dic47⋊C4—21no—
628Dic47⋊C4—21no—
629Dic47⋊C4—21no—
630Dic47⋊C4—21no—
631Dic47⋊C4—21no—
632Dic47⋊C4—21no—
633Dic47⋊C4—21no—
634Dic47⋊C4C2×D411yescharacteristic
635Dic47⋊C4C2×D411yescharacteristic
636Dic47⋊C4C2×D411yescharacteristic
637Dic47⋊C4C2×D411yescharacteristic
638Dic47⋊C4C2×D411yescharacteristic
639Dic47⋊C4C2×D411yescharacteristic
640Dic47⋊C4C2×D411yescharacteristic
641Dic47⋊C4C2×D411yescharacteristic
642Dic47⋊C4C2×D411yescharacteristic
643Dic47⋊C4C2×D411yescharacteristic
644C4×Dic47—21no—
645C4×Dic47—21no—
646C4×Dic47—21no—
647C4×Dic47—21no—
648C4×Dic47—21no—
649C4×Dic47—21no—
650C4×Dic47—21no—
651C4×Dic47—21no—
652C4×Dic47C2×D411yescharacteristic
653C4×Dic47C2×D411yescharacteristic
654C4×Dic47C2411yescharacteristic
655C4×Dic47C2411yescharacteristic
656C4×Dic47C2411yescharacteristic
657C2×C47⋊C8C2411yescharacteristic
658C2×C47⋊C8C2411yescharacteristic
659C2×C47⋊C8C2411yescharacteristic
660C2×C47⋊C8C2411yescharacteristic
661D376—22no—
662C23×C47—21no—
663C22×D47—21no—
664C22×D47—24no—
665C22×D47—21no—
666C22×D47—81no—
667C22×D47—81no—
668C22×D47C22×D411yescharacteristic
669Q8×C47—21no—
670Q8×C47—21no—
671Q8×C47—21no—
672Q8×C47—21no—
673Q8×C47—21no—
674Q8×C47—21no—
675Q8×C47—41no—
676Q8×C47—81no—
677D4×C47—21no—
678D4×C472−1+412yes—
679C2×C4×C47—21no—
680C2×C4×C47—21no—
681C2×C4×C47—21no—
682C2×C4×C47—21no—
683C2×C4×C47—21no—
684C2×C4×C47—21no—
685C2×C4×C47—21no—
686C2×C4×C47—81no—
687C2×C4×C47—81no—
688C2×C4×C47—81no—
689C2×C4×C47C22×D411yescharacteristic
690C2×C4×C47C22×D411yescharacteristic
691C2×C4×C47C22×D411yescharacteristic
692C2×C4×C47C22×D411yescharacteristic
693C2×C4×C47C22×D411yescharacteristic
694C2×C4×C47C22×D411yescharacteristic
695C2×C4×C47C2511yescharacteristic
696C22⋊D47—24no—
697C2×Dic47—21no—
698C2×Dic47—21no—
699C2×Dic47—21no—
700C2×Dic47—21no—
701C2×Dic47—21no—
702C2×Dic47—21no—
703C2×Dic47—42no—
704C2×Dic47—81no—
705C2×Dic47—81no—
706C2×Dic47C22×D411yescharacteristic
707C2×Dic47C22×D411yescharacteristic
708C2×Dic47C22×D411yescharacteristic
709C2×Dic47C22×D411yescharacteristic
710C2×Dic47C22×D411yescharacteristic
711C2×Dic47C22×D411yescharacteristic
712C2×Dic47C22×D411yescharacteristic
713D188—21no—
714D188—21no—
715D188—21no—
716D188—81no—
717D1882−1+412yes—
718C4×D47—21no—
719C4×D47—21no—
720C4×D47—41no—
721C4×D47—41no—
722C4×D47—42no—
723C4×D47—42no—
724C4×D47—81no—
725C4×D47—81no—
726C4×D47—81no—
727C4×D47—81no—
728C4×D47—81no—
729C4×D47—81no—
730C4×D47—81no—
731C4×D47—81no—
732Dic94—41no—
733Dic94—41no—
734Dic94—41no—
735Dic94—42no—
736Dic94—81no—
737Dic94—81no—
738Dic94—81no—
739Dic94—81no—
740Dic94—81no—
741Dic94—81no—
742Dic94—81no—
743C8×C47—21no—
744C8×C47—21no—
745C8×C47—21no—
746C8×C47—21no—
747C47⋊C8—21no—
748C47⋊C8—21no—
749C47⋊C8—21no—
750C47⋊C8—21no—
751#61873—471nomaximal, Sylow
752C22×C47—22no—
753C22×C47—41no—
754C22×C47—41no—
755C22×C47C23×D411yescharacteristic
756C2×D47—21no—
757C2×D47—21no—
758C2×D47—21no—
759C2×D47—22no—
760C2×D47—41no—
761C2×D47—41no—
762C2×D47—41no—
763C2×D47—41no—
764C2×D47—41no—
765C2×D47—84no—
766C4×C47—21no—
767C4×C47—21no—
768C4×C47—21no—
769C4×C47—21no—
770C4×C47—21no—
771C4×C47—21no—
772C4×C47—41no—
773C4×C47—41no—
774C4×C47—41no—
775C4×C47—41no—
776C4×C47—41no—
777C4×C47—41no—
778C4×C47—41no—
779C4×C47C2×2−1+411yescharacteristic
780C4×C47C2×2−1+411yescharacteristic
781Dic47—21no—
782Dic47—21no—
783Dic47—21no—
784Dic47—21no—
785Dic47—21no—
786Dic47—21no—
787Dic47—21no—
788Dic47—41no—
789Dic47—41no—
790Dic47—41no—
791Dic47—41no—
792Dic47—41no—
793Dic47—41no—
794#3555—471no—
795#3501—471no—
796#3389—471no—
797#3389—471no—
798#3388—471no—
799#3388—471no—
800#3386—471no—
801#3386—471no—
802#3385—471no—
803#3385—471no—
804#3376—471no—
805#3376—471no—
806#3376—471no—
807#3376—471no—
808#3372—471no—
809#3372D4711yescharacteristic, complemented
810#3367—471no—
811#3367—471no—
812#3243—471no—
813#3243—471no—
814#3242—471no—
815#3242—471no—
816#3240—471no—
817#3237—471no—
818#3123—471no—
819#3123—471no—
820#3118—471no—
821#3118—471no—
822#3114—471no—
823#3110—471no—
824#2987—471no—
825C2×C47—42no—
826C2×C47#348611yescharacteristic
827C2×C47#358511yescharacteristic
828C2×C47#358611yescharacteristic
829D47—41no—
830D47—42no—
831D47—81no—
832#563—941no—
833#563—941no—
834Q82—471no—
835#557—471no—
836#557—471no—
837#557C2×D4711yescharacteristic, complemented
838#556—471no—
839#556—471no—
840#556—471no—
841#556—941no—
842#554—471no—
843#554—471no—
844#554—471no—
845#554—471no—
846#554—471no—
847#554—471no—
848#554—941no—
849#554—941no—
850#554—941no—
851#554C2×D4711yescharacteristic
852#552—941no—
853D4×Q8—471no—
854D4×Q8—471no—
855D4×Q8—941no—
856#544—471no—
857#544—471no—
858#544—941no—
859#543—941no—
860#543—941no—
861#542—471no—
862#542—471no—
863#541—471no—
864#541—471no—
865#541—941no—
866#541—941no—
867#541—941no—
868#533—471no—
869#533—471no—
870#533—471no—
871#529—471no—
872C2×C22⋊Q8—941no—
873C2×C22⋊Q8—941no—
874#518—471no—
875#518—471no—
876C2×C4×D4—471no—
877#501—471no—
878#501—471no—
879#501—471no—
880#501—471no—
881#501—471no—
882#501—471no—
883#501—471no—
884#501—471no—
885#500—471no—
886#500—471no—
887#499—471no—
888#499—471no—
889#491—471no—
890#491—471no—
891#491C2×D4711yescharacteristic, complemented
892#491C2×D4711yescharacteristic, complemented
893#489—471no—
894#489—471no—
895#489—471no—
896#489—471no—
897#488—471no—
898#488—471no—
899#487—471no—
900#487C2×D4711yescharacteristic, complemented
901#485—471no—
902#485—471no—
903#485—471no—
904#485—471no—
905#485—471no—
906#485—471no—
907#484—471no—
908#484—471no—
909#483—471no—
910#482—471no—
911#482—471no—
912#480—471no—
913#479—471no—
914#479—471no—
915#479—471no—
916#479—471no—
917#479—471no—
918#479—471no—
919#479C2×D4711yescharacteristic, complemented
920#479C2×D4711yescharacteristic, complemented
921#478—471no—
922#478—471no—
923#478—471no—
924#478—471no—
925#478—471no—
926#478—471no—
927#478—471no—
928#478—471no—
929#478—471no—
930#478—471no—
931#477—471no—
932#477—471no—
933#477—471no—
934#477—471no—
935#477—471no—
936#477C2×D4711yescharacteristic, complemented
937#476—471no—
938#476—471no—
939#475—471no—
940#475—471no—
941#475—471no—
942#475—471no—
943#474—471no—
944#474—471no—
945#474—471no—
946#474—471no—
947#474—471no—
948#474—471no—
949#463—471no—
950#463—471no—
951#463—471no—
952#463—471no—
953#463—471no—
954#463—471no—
955#461—471no—
956#461—471no—
957#461—471no—
958#461C2×D4711yescharacteristic
959#461C2×D4711yescharacteristic
960#461C2×D4711yescharacteristic
961#450—471no—
962#450—471no—
963#450—471no—
964#447—471no—
965#446—471no—
966#446—471no—
967#446—471no—
968#446—471no—
969#446—471no—
970#446—471no—
971#446—471no—
972#446C2×D4711yescharacteristic, complemented
973#442—471no—
974#442—471no—
975#442—471no—
976#442—471no—
977#440—471no—
978#440—471no—
979#440—471no—
980#440—471no—
981#440—471no—
982#440—471no—
983#440—471no—
984#440—471no—
985#440—471no—
986#440—471no—
987#440C2×D4711yescharacteristic
988#440C2×D4711yescharacteristic
989C4×SD16—471no—
990C4×SD16—471no—
991C4×SD16—471no—
992C4×SD16—471no—
993C4×SD16—471no—
994C4×SD16C2×D4711yescharacteristic
995C4×D8—471no—
996C4×D8—471no—
997#433—471no—
998#433—471no—
999#433—471no—
1000#433—471no—
1001#432—471no—
1002#432—471no—
1003C47#6187311yescharacteristic, complemented, Sylow
1004C22×Q8—941no—
1005C22×Q8—941no—
1006C22×D4—471no—
1007C23×C4—941no—
1008C2×SD16—471no—
1009C2×SD16—471no—
1010C2×SD16—471no—
1011C2×SD16C22×D4711yescharacteristic
1012C2×SD16C22×D4711yescharacteristic
1013C2×SD16C22×D4711yescharacteristic
1014C2×D8—471no—
1015C2×D8—471no—
1016C4⋊Q8—471no—
1017C4⋊Q8—471no—
1018C4⋊Q8—471no—
1019C4⋊Q8—471no—
1020C4⋊Q8—471no—
1021C4⋊Q8—471no—
1022C4⋊Q8—471no—
1023C4⋊Q8—471no—
1024C4⋊Q8—471no—
1025C4⋊Q8—471no—
1026C4⋊Q8—941no—
1027C4⋊Q8—941no—
1028C4⋊Q8—941no—
1029C4⋊Q8—941no—
1030C4⋊Q8—941no—
1031C4⋊Q8—941no—
1032C4⋊Q8—941no—
1033C4⋊Q8C22×D4711yescharacteristic
1034C4⋊Q8C22×D4711yescharacteristic
1035C4⋊Q8C22×D4711yescharacteristic
1036C4⋊Q8C22×D4711yescharacteristic
1037#126—941no—
1038#126—941no—
1039#126—941no—
1040#126—941no—
1041#126—941no—
1042#126—941no—
1043#126—941no—
1044#126—941no—
1045#126—941no—
1046#126—941no—
1047#126—941no—
1048#126—941no—
1049#126—941no—
1050#125—21no—
1051#125—21no—
1052#125—21no—
1053#125—471no—
1054#125—471no—
1055#125—471no—
1056#125—471no—
1057#125—471no—
1058#125—471no—
1059#125—471no—
1060#125—471no—
1061#125—471no—
1062#125—941no—
1063#125—941no—
1064#125—941no—
1065#125—941no—
1066#125—941no—
1067#125—941no—
1068#125—941no—
1069#125—941no—
1070#125—941no—
1071#125—941no—
1072#125—941no—
1073#125C22×D4711yescharacteristic
1074#125C22×D4711yescharacteristic
1075#124—471no—
1076#124—471no—
1077#124—471no—
1078#124—941no—
1079#124—941no—
1080#123—941no—
1081#123—941no—
1082#123—941no—
1083C22⋊Q8—21no—
1084C22⋊Q8—21no—
1085C22⋊Q8—21no—
1086C22⋊Q8—471no—
1087C22⋊Q8—471no—
1088C22⋊Q8—471no—
1089C22⋊Q8—471no—
1090C22⋊Q8—471no—
1091C22⋊Q8—471no—
1092C22⋊Q8—471no—
1093C22⋊Q8—941no—
1094C22⋊Q8—941no—
1095C22⋊Q8—941no—
1096C22⋊Q8—941no—
1097C22⋊Q8—941no—
1098C22⋊Q8—941no—
1099C22⋊Q8—941no—
1100C22⋊Q8—941no—
1101C22⋊Q8—941no—
1102C22⋊Q8—941no—
1103C22⋊Q8—941no—
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—
1129#121—471no—
1130C4×Q8—21no—
1131C4×Q8—471no—
1132C4×Q8—471no—
1133C4×Q8—471no—
1134C4×Q8—471no—
1135C4×Q8—471no—
1136C4×Q8—471no—
1137C4×Q8—471no—
1138C4×Q8—471no—
1139C4×Q8—471no—
1140C4×Q8—941no—
1141C4×Q8—941no—
1142C4×Q8—941no—
1143C4×Q8—941no—
1144C4×Q8—941no—
1145C4×Q8—941no—
1146C4×Q8C22×D4711yescharacteristic
1147C4×Q8C22×D4711yescharacteristic
1148C4×Q8C22×D4711yescharacteristic
1149C4×Q8C22×D4711yescharacteristic
1150C4×D4—471no—
1151C4×D4—471no—
1152C4×D4—471no—
1153C4×D4—471no—
1154C4×D4—471no—
1155C4×D4—471no—
1156C4×D4—471no—
1157C4×D4—471no—
1158C4×D4—471no—
1159C4×D4—471no—
1160C4×D4—471no—
1161C4×D4—471no—
1162C4×D4—941no—
1163C4×D4—941no—
1164C4×D4—941no—
1165C4×D4—941no—
1166C4×D4—941no—
1167C4×D4—941no—
1168C4×D4—941no—
1169C4×D4C22×D4711yescharacteristic
1170C4×D4C22×D4711yescharacteristic
1171C4×D4C22×D4711yescharacteristic
1172#117—471no—
1173#117—471no—
1174#117—471no—
1175#117—471no—
1176#117—941no—
1177#117—941no—
1178#117—941no—
1179#117—941no—
1180#117—941no—
1181C2×C4⋊C4—21no—
1182C2×C4⋊C4—471no—
1183C2×C4⋊C4—941no—
1184C2×C4⋊C4—941no—
1185C2×C4⋊C4—941no—
1186C2×C4⋊C4—941no—
1187C2×C4⋊C4—941no—
1188C2×C4⋊C4—941no—
1189C2×C22⋊C4—941no—
1190C2×C22⋊C4—941no—
1191C2×C22⋊C4—941no—
1192C2×C22⋊C4—941no—
1193C2×C22⋊C4—941no—
1194C2×C42—471no—
1195#107—471no—
1196#107—471no—
1197#107—471no—
1198#107—471no—
1199#107—471no—
1200#107—471no—
1201#107—471no—
1202#107—471no—
1203#107—471no—
1204#107—471no—
1205#107—471no—
1206#107—471no—
1207#107C22×D4711yescharacteristic
1208#107C22×D4711yescharacteristic
1209#106—471no—
1210#106—471no—
1211#106—471no—
1212#106—471no—
1213#106—471no—
1214#106—471no—
1215#106—471no—
1216#106—471no—
1217#106—471no—
1218#106C22×D4711yescharacteristic
1219C4⋊C8—471no—
1220C4⋊C8—471no—
1221C4⋊C8—471no—
1222C4⋊C8—471no—
1223C4⋊C8—471no—
1224C4⋊C8—471no—
1225C4⋊C8—471no—
1226C4⋊C8—471no—
1227C4⋊C8—471no—
1228C4⋊C8C22×D4711yescharacteristic
1229C4⋊C8C22×D4711yescharacteristic
1230C4⋊C8C22×D4711yescharacteristic
1231#103—471no—
1232#103—471no—
1233#103—471no—
1234#103—471no—
1235#103—471no—
1236#103—471no—
1237#103—471no—
1238#103—471no—
1239#103—471no—
1240#103C22×D4711yescharacteristic
1241#103C22×D4711yescharacteristic
1242#103C22×D4711yescharacteristic
1243#103C22×D4711yescharacteristic
1244#103C22×D4711yescharacteristic
1245#103C22×D4711yescharacteristic
1246#103C22×D4711yescharacteristic
1247#103C22×D4711yescharacteristic
1248#103C22×D4711yescharacteristic
1249#102—471no—
1250#102—471no—
1251#102—471no—
1252#102—471no—
1253#102—471no—
1254#102—471no—
1255#102—471no—
1256#102—471no—
1257#102—471no—
1258#102—471no—
1259#102—471no—
1260#102—471no—
1261#102—471no—
1262#102C22×D4711yescharacteristic
1263C22⋊C8—471no—
1264C22⋊C8—471no—
1265C22⋊C8—471no—
1266C22⋊C8—471no—
1267#97—471no—
1268#97—471no—
1269#97—471no—
1270#97—471no—
1271#97—471no—
1272#97—471no—
1273#97C22×D4711yescharacteristic
1274#97C22×D4711yescharacteristic
1275C4×C8—471no—
1276C4×C8—471no—
1277C4×C8—471no—
1278C4×C8C22×D4711yescharacteristic
1279C24—941no—
1280C2×Q8—21no—
1281C2×Q8—471no—
1282C2×Q8—471no—
1283C2×Q8—471no—
1284C2×Q8—941no—
1285C2×Q8—941no—
1286C2×Q8—941no—
1287C2×Q8—941no—
1288C2×Q8—941no—
1289C2×Q8—941no—
1290C2×Q8—941no—
1291C2×Q8—941no—
1292C2×Q8—3762no—
1293C2×Q8—3762no—
1294C2×Q8D4×D4711yescharacteristic
1295C2×Q8C23×D4711yescharacteristic
1296C2×Q8C23×D4711yescharacteristic
1297C2×Q8C23×D4711yescharacteristic
1298C2×D4—471no—
1299C2×D4—471no—
1300C2×D4—941no—
1301C2×D4—941no—
1302C2×D4—942no—
1303C2×D4—942no—
1304C2×D4C23×D4711yescharacteristic
1305C22×C4—21no—
1306C22×C4—21no—
1307C22×C4—21no—
1308C22×C4—471no—
1309C22×C4—471no—
1310C22×C4—471no—
1311C22×C4—941no—
1312C22×C4—941no—
1313C22×C4—941no—
1314C22×C4—941no—
1315C22×C4—941no—
1316C22×C4—941no—
1317C22×C4—941no—
1318C22×C4—941no—
1319C22×C4—941no—
1320C22×C4—941no—
1321C22×C4—941no—
1322C22×C4—941no—
1323C22×C4—941no—
1324C22×C4—3762no—
1325SD16—22no—
1326SD16—22no—
1327SD16—22no—
1328SD16—942no—
1329SD16—942no—
1330SD16—942no—
1331D8—942no—
1332D8—942no—
1333C2×C8—471no—
1334C2×C8—471no—
1335C2×C8—471no—
1336C2×C8—471no—
1337C2×C8C23×D4711yescharacteristic
1338C2×C8C23×D4711yescharacteristic
1339C2×C8C23×D4711yescharacteristic
1340C2×C8C23×D4711yescharacteristic
1341C4⋊C4—21no—
1342C4⋊C4—21no—
1343C4⋊C4—21no—
1344C4⋊C4—21no—
1345C4⋊C4—21no—
1346C4⋊C4—21no—
1347C4⋊C4—21no—
1348C4⋊C4—21no—
1349C4⋊C4—21no—
1350C4⋊C4—21no—
1351C4⋊C4—21no—
1352C4⋊C4—21no—
1353C4⋊C4—21no—
1354C4⋊C4—21no—
1355C4⋊C4—471no—
1356C4⋊C4—471no—
1357C4⋊C4—471no—
1358C4⋊C4—471no—
1359C4⋊C4—471no—
1360C4⋊C4—471no—
1361C4⋊C4—471no—
1362C4⋊C4—471no—
1363C4⋊C4—471no—
1364C4⋊C4—471no—
1365C4⋊C4—471no—
1366C4⋊C4—471no—
1367C4⋊C4—471no—
1368C4⋊C4—471no—
1369C4⋊C4—471no—
1370C4⋊C4—471no—
1371C4⋊C4—471no—
1372C4⋊C4—471no—
1373C4⋊C4—471no—
1374C4⋊C4—941no—
1375C4⋊C4—941no—
1376C4⋊C4—941no—
1377C4⋊C4—941no—
1378C4⋊C4—941no—
1379C4⋊C4—941no—
1380C4⋊C4—941no—
1381C4⋊C4—941no—
1382C4⋊C4—941no—
1383C4⋊C4—941no—
1384C4⋊C4—941no—
1385C4⋊C4—941no—
1386C4⋊C4—941no—
1387C4⋊C4—941no—
1388C4⋊C4—941no—
1389C4⋊C4—941no—
1390C4⋊C4—941no—
1391C4⋊C4—941no—
1392C4⋊C4—941no—
1393C4⋊C4—941no—
1394C4⋊C4—941no—
1395C4⋊C4—941no—
1396C4⋊C4—941no—
1397C4⋊C4—941no—
1398C4⋊C4—941no—
1399C4⋊C4—941no—
1400C4⋊C4—941no—
1401C4⋊C4—941no—
1402C4⋊C4—941no—
1403C4⋊C4—941no—
1404C4⋊C4—941no—
1405C4⋊C4—941no—
1406C4⋊C4D4×D4711yescharacteristic
1407C4⋊C4D4×D4711yescharacteristic
1408C4⋊C4D4×D4711yescharacteristic
1409C4⋊C4C23×D4711yescharacteristic
1410C4⋊C4C23×D4711yescharacteristic
1411C4⋊C4C23×D4711yescharacteristic
1412C4⋊C4C23×D4711yescharacteristic
1413C22⋊C4—21no—
1414C22⋊C4—21no—
1415C22⋊C4—21no—
1416C22⋊C4—471no—
1417C22⋊C4—471no—
1418C22⋊C4—471no—
1419C22⋊C4—471no—
1420C22⋊C4—941no—
1421C22⋊C4—941no—
1422C22⋊C4—941no—
1423C22⋊C4—941no—
1424C22⋊C4—941no—
1425C22⋊C4—941no—
1426C22⋊C4—941no—
1427C22⋊C4—941no—
1428C22⋊C4—941no—
1429C22⋊C4—941no—
1430C22⋊C4—941no—
1431C22⋊C4—941no—
1432C22⋊C4—941no—
1433C22⋊C4—941no—
1434C22⋊C4—941no—
1435C22⋊C4—941no—
1436C22⋊C4—941no—
1437C22⋊C4—941no—
1438C22⋊C4—941no—
1439C22⋊C4—941no—
1440C22⋊C4—941no—
1441C22⋊C4—941no—
1442C22⋊C4—941no—
1443C22⋊C4—941no—
1444C42—21no—
1445C42—21no—
1446C42—21no—
1447C42—471no—
1448C42—471no—
1449C42—471no—
1450C42—471no—
1451C42—471no—
1452C42—941no—
1453C42—941no—
1454C42—941no—
1455C42—941no—
1456C42—941no—
1457C42—941no—
1458C42—941no—
1459C42—941no—
1460C42C23×D4711yescharacteristic
1461C42C23×D4711yescharacteristic
1462C42C23×D4711yescharacteristic
1463C23—21no—
1464C23—471no—
1465C23—944no—
1466C23—941no—
1467C23—941no—
1468C23—3761no—
1469C23—3761no—
1470Q8—21no—
1471Q8—21no—
1472Q8—21no—
1473Q8—21no—
1474Q8—21no—
1475Q8—21no—
1476Q8—41no—
1477Q8—81no—
1478Q8—3761no—
1479Q8—3761no—
1480Q8—3761no—
1481Q8—3761no—
1482Q8—3761no—
1483Q8—3761no—
1484Q8—3761no—
1485Q8—1881no—
1486Q8—1881no—
1487Q8—1881no—
1488Q8—1882no—
1489D4—21no—
1490D4—472no—
1491D4—944no—
1492D4—941no—
1493D4—941no—
1494D4—941no—
1495D4—3761no—
1496D4#1309407112yes—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—81no—
1505C2×C4—81no—
1506C2×C4—81no—
1507C2×C4—471no—
1508C2×C4—471no—
1509C2×C4—471no—
1510C2×C4—471no—
1511C2×C4—471no—
1512C2×C4—471no—
1513C2×C4—471no—
1514C2×C4—941no—
1515C2×C4—941no—
1516C2×C4—941no—
1517C2×C4—941no—
1518C2×C4—941no—
1519C2×C4—941no—
1520C2×C4—941no—
1521C2×C4—941no—
1522C2×C4—3761no—
1523C2×C4—3761no—
1524C2×C4—3761no—
1525C2×C4—3761no—
1526C2×C4—3761no—
1527C2×C4—3761no—
1528C2×C4—3761no—
1529C2×C4—3761no—
1530C2×C4—3761no—
1531C2×C4—3761no—
1532C2×C4—1881no—
1533C2×C4—1881no—
1534C2×C4—1882no—
1535C2×C4—1882no—
1536C2×C4—1882no—
1537C2×C4C2×D4×D4711yescharacteristic
1538C2×C4C2×D4×D4711yescharacteristic
1539C2×C4C2×D4×D4711yescharacteristic
1540C2×C4C2×D4×D4711yescharacteristic
1541C2×C4C2×D4×D4711yescharacteristic
1542C2×C4C2×D4×D4711yescharacteristic
1543C2×C4C24×D4711yescharacteristic
1544C8—21no—
1545C8—21no—
1546C8—21no—
1547C8—21no—
1548C8—941no—
1549C8—941no—
1550C8—941no—
1551C8—941no—
1552C22—22no—
1553C22—41no—
1554C22—41no—
1555C22—941no—
1556C22—942no—
1557C22—941no—
1558C22—941no—
1559C22—3764no—
1560C22—1881no—
1561C22—1881no—
1562C22—1881no—
1563C22—1881no—
1564C22—1881no—
1565C22C22×D4×D4711yescharacteristic
1566C4—21no—
1567C4—21no—
1568C4—21no—
1569C4—21no—
1570C4—21no—
1571C4—21no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—941no—
1580C4—941no—
1581C4—941no—
1582C4—941no—
1583C4—941no—
1584C4—941no—
1585C4—941no—
1586C4—1881no—
1587C4—1881no—
1588C4—1881no—
1589C4—1881no—
1590C4—1881no—
1591C4—1881no—
1592C42−1+4×D4711yescharacteristic
1593C4C2×#1309407111yescharacteristic
1594C2—42no—
1595C2—3761no—
1596C2—1881no—
1597C2—1882no—
1598C2#2025703411yescharacteristic
1599C2#2025816611yescharacteristic
1600C2#2025817111yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3372C2
socleC22×C47C23×D4
prime radical#15689258C22
hypercenter#3372D47
hypocenterC47#61873
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3372

Complements

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

NH ≅ G/Ntype
1. #20257872C2semidirect
2. #20257187C2semidirect
3. #20256348C2semidirect
4. #20256342C2semidirect
5. #20256331C2semidirect
6. #20256329C2semidirect
7. #20256312C2semidirect
8. #20256310C2semidirect
9. #20256301C2semidirect
10. #20256299C2semidirect
11. #20256210C2semidirect
12. #20256210C2semidirect
13. #20256208C2semidirect
14. #20256208C2semidirect
15. #20256165C2semidirect
16. #20256111C2semidirect
17. #20256110C2semidirect
18. #20254678C2semidirect
19. #20254676C2semidirect
20. #20254651C2semidirect
21. #20254649C2semidirect
22. #20254633C2semidirect
23. #20254597C2semidirect
24. #20253638C2semidirect
25. #20253638C2semidirect
29. #20253486C2semidirect
30. #20252491C2semidirect
31. C47×#3372C2semidirect
34. Q8×Dic94C22semidirect
35. #15689849C22semidirect
36. #15689849C22semidirect
37. #15689847C22semidirect
38. #15689847C22semidirect
39. #15689847C22semidirect
42. #15689833C22semidirect
75. #15689533C22semidirect
76. #15689532C22semidirect
77. #15689532C22semidirect
78. #15689531C22semidirect
79. #15689531C22semidirect
80. #15689530C22semidirect
81. #15689530C22semidirect
82. #15689529C22semidirect
83. #15689527C22semidirect
84. #15689527C22semidirect
85. #15689525C22semidirect
86. #15689522C22semidirect
87. #15689491C22semidirect
88. #15689491C22semidirect
89. #15689484C22semidirect
90. #15689484C22semidirect
91. #15689484C22semidirect
92. #15689484C22semidirect
93. #15689479C22semidirect
94. #15689479C22semidirect
95. #15689473C22semidirect
108. #15689432C22semidirect
109. #15689432C22semidirect
110. #15689430C22semidirect
111. #15689430C22semidirect
112. #15689428C22semidirect
113. #15689428C22semidirect
118. #15689424C22semidirect
119. #15689424C22semidirect
122. #15689420C22semidirect
123. #15689420C22semidirect
124. #15689418C22semidirect
125. #15689416C22semidirect
126. #15689416C22semidirect
127. #15689416C22semidirect
128. #15689416C22semidirect
131. #15689406C22semidirect
132. #15689406C22semidirect
133. #15689406C22semidirect
134. #15689406C22semidirect
136. #15689404C22semidirect
140. #15689400C22semidirect
154. #15689254C22semidirect
155. #15689253C22semidirect
156. #15689252C22semidirect
157. #15689252C22semidirect
158. #15689251C22semidirect
159. #15689251C22semidirect
160. #15689250C22semidirect
188. C47×#557C22semidirect
190. C47×#491C22semidirect
191. C47×#491C22semidirect
192. C47×#487C22semidirect
193. C47×#479C22semidirect
194. C47×#479C22semidirect
195. C47×#477C22semidirect
199. C47×#446C22semidirect
809. #3372D47semidirect
837. #557C2×D47semidirect
891. #491C2×D47semidirect
892. #491C2×D47semidirect
900. #487C2×D47semidirect
919. #479C2×D47semidirect
920. #479C2×D47semidirect
936. #477C2×D47semidirect
972. #446C2×D47semidirect
1003. C47#61873semidirect

Maximal subgroups

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

subgroupindex
#202578722
#202571872
#202563482
#202563422
#202563312
#202563292
#202563122
#202563102
#202563012
#202562992
#202562102
#202562082
#202561652
#202561112
#202561102
#202546782
#202546762
#202546512
#202546492
#202546332
#202545972
#202536382
#202535782
#202535762
#202535302
#202534862
#202524912
C47×#33722
#6187347