Finite Group Databasebeta

← #27107150

Subgroups — #27107150

Order 12032.

1722 conjugacy classes of subgroups.

The subgroup lattice has 1648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257847C211yesmaximal, characteristic, complemented
2#20257187C211yesmaximal, characteristic, complemented
3#20256347C211yesmaximal, characteristic, complemented
4#20256345C211yesmaximal, characteristic, complemented
5#20256336C211yesmaximal, characteristic, complemented
6#20256334C211yesmaximal, characteristic, complemented
7#20256291C211yesmaximal, characteristic, complemented
8#20256289C211yesmaximal, characteristic, complemented
9#20256287C211yesmaximal, characteristic, complemented
10#20256285C211yesmaximal, characteristic, complemented
11#20256177C211yesmaximal, characteristic, complemented
12#20256175C211yesmaximal, characteristic, complemented
13#20256147C211yesmaximal, characteristic, complemented
14#20256145C211yesmaximal, characteristic, complemented
15#20256135C211yesmaximal, characteristic, complemented
16#20256092C211yesmaximal, characteristic, complemented
17#20256090C211yesmaximal, characteristic, complemented
18#20254681C211yesmaximal, characteristic, complemented
19#20254679C211yesmaximal, characteristic, complemented
20#20254648C211yesmaximal, characteristic, complemented
21#20254646C211yesmaximal, characteristic, complemented
22#20254633C211yesmaximal, characteristic, complemented
23#20254581C211yesmaximal, characteristic, complemented
24#20253630C211yesmaximal, characteristic, complemented
25#20253628C211yesmaximal, characteristic, complemented
26#20253571C211yesmaximal, characteristic, complemented
27#20253569C211yesmaximal, characteristic, complemented
28#20253530C211yesmaximal, characteristic, complemented
29#20253478C211yesmaximal, characteristic, complemented
30#20252491C211yesmaximal, characteristic, complemented
31C47×#3370C211yesmaximal, characteristic, complemented
32#15689870—21no—
33#15689870—21no—
34#15689855C2211yescharacteristic, complemented
35#15689855C2211yescharacteristic, complemented
36#15689852C2211yescharacteristic, complemented
37#15689833C2211yescharacteristic
38#15689832C2211yescharacteristic
39#15689832C2211yescharacteristic
40#15689830C2211yescharacteristic, complemented
41#15689830C2211yescharacteristic, complemented
42#15689829C2211yescharacteristic
43#15689829C2211yescharacteristic
44#15689828—21no—
45#15689827—21no—
46#15689827—21no—
47#15689793C2211yescharacteristic, complemented
48Q8×D188C2211yescharacteristic, complemented
49D4×Dic94C2211yescharacteristic
50#15689788C2211yescharacteristic
51#15689786—21no—
52#15689781—21no—
53#15689777—21no—
54#15689753C2211yescharacteristic
55#15689750C2211yescharacteristic
56#15689748—21no—
57#15689748—21no—
58#15689742C2211yescharacteristic
59#15689742C2211yescharacteristic
60#15689738—21no—
61#15689724C2211yescharacteristic
62#15689724C2211yescharacteristic
63#15689717—21no—
64#15689717—21no—
65#15689693—21no—
66#15689679C2211yescharacteristic
67#15689677C2211yescharacteristic
68#15689671C2211yescharacteristic
69#15689660C2211yescharacteristic
70C2×#13094002—21no—
71C22⋊Q8×D47—21no—
72#15689595C2211yescharacteristic
73#15689595C2211yescharacteristic
74C4×D4×D47C2211yescharacteristic
75#15689533C2211yescharacteristic, complemented
76#15689533C2211yescharacteristic, complemented
77#15689532C2211yescharacteristic, complemented
78#15689532C2211yescharacteristic, complemented
79#15689531C2211yescharacteristic, complemented
80#15689531C2211yescharacteristic, complemented
81#15689531C2211yescharacteristic, complemented
82#15689530C2211yescharacteristic, complemented
83#15689524C2211yescharacteristic, complemented
84#15689523C2211yescharacteristic, complemented
85#15689521C2211yescharacteristic, complemented
86#15689519C2211yescharacteristic, complemented
87#15689487C2211yescharacteristic, complemented
88#15689486C2211yescharacteristic, complemented
89#15689486C2211yescharacteristic, complemented
90#15689484C2211yescharacteristic, complemented
91#15689484C2211yescharacteristic, complemented
92#15689482C2211yescharacteristic, complemented
93#15689477C2211yescharacteristic, complemented
94#15689468C2211yescharacteristic, complemented
95#15689468C2211yescharacteristic, complemented
96#15689463C2211yescharacteristic
97#15689462C2211yescharacteristic
98#15689452C2211yescharacteristic
99#15689450C2211yescharacteristic
100#15689449C2211yescharacteristic
101#15689446C2211yescharacteristic
102#15689446C2211yescharacteristic
103#15689445C2211yescharacteristic
104#15689445C2211yescharacteristic
105#15689440C2211yescharacteristic
106#15689440C2211yescharacteristic
107#15689438C2211yescharacteristic
108#15689432C2211yescharacteristic, complemented
109#15689430C2211yescharacteristic, complemented
110#15689428C2211yescharacteristic, complemented
111#15689426C2211yescharacteristic
112#15689426C2211yescharacteristic
113#15689425C2211yescharacteristic
114#15689425C2211yescharacteristic
115#15689425C2211yescharacteristic, complemented
116#15689424C2211yescharacteristic, complemented
117#15689424C2211yescharacteristic, complemented
118#15689423C2211yescharacteristic, complemented
119#15689422C2211yescharacteristic
120#15689421C2211yescharacteristic
121#15689421C2211yescharacteristic, complemented
122#15689420C2211yescharacteristic, complemented
123#15689420C2211yescharacteristic, complemented
124#15689414C2211yescharacteristic
125#15689414C2211yescharacteristic
126#15689414C2211yescharacteristic, complemented
127#15689413C2211yescharacteristic
128#15689413C2211yescharacteristic
129#15689411C2211yescharacteristic, complemented
130#15689411C2211yescharacteristic, complemented
131#15689411C2211yescharacteristic, complemented
132#15689411C2211yescharacteristic, complemented
133#15689410C2211yescharacteristic, complemented
134#15689406C2211yescharacteristic, complemented
135#15689406C2211yescharacteristic, complemented
136#15689404C2211yescharacteristic
137#15689403C2211yescharacteristic
138#15689403C2211yescharacteristic, complemented
139#15689401C2211yescharacteristic, complemented
140#15689401C2211yescharacteristic, complemented
141#15689341C2211yescharacteristic
142#15689340C2211yescharacteristic
143#15689335C2211yescharacteristic
144#15689335C2211yescharacteristic
145#15689317C2211yescharacteristic
146#15689317C2211yescharacteristic
147#15689316C2211yescharacteristic
148#15689316C2211yescharacteristic
149#15689315C2211yescharacteristic
150#15689272C2211yescharacteristic
151#15689258C2211yescharacteristic
152#15689255C2211yescharacteristic
153#15689255C2211yescharacteristic
154#15689254C2211yescharacteristic, complemented
155#15689253C2211yescharacteristic, complemented
156#15689252C2211yescharacteristic, complemented
157#15689252C2211yescharacteristic, complemented
158#15689251C2211yescharacteristic, complemented
159#15689251C2211yescharacteristic, complemented
160#15689250C2211yescharacteristic, complemented
161#15689236C2211yescharacteristic
162#15689236C2211yescharacteristic
163#15689235C2211yescharacteristic
164#15689235C2211yescharacteristic
165#15689235C2211yescharacteristic
166#15689233C2211yescharacteristic
167#15689233C2211yescharacteristic
168#15689233C2211yescharacteristic
169#15689232C2211yescharacteristic
170#15689232C2211yescharacteristic
171#15689232C2211yescharacteristic
172#15689226C2211yescharacteristic
173#15689224C2211yescharacteristic
174#15689221C2211yescharacteristic
175SD16×Dic47C2211yescharacteristic
176#15689208C2211yescharacteristic
177C4×D376C2211yescharacteristic
178D8×Dic47C2211yescharacteristic
179C4×#10625334C2211yescharacteristic
180C4×#10625334C2211yescharacteristic
181#15689203C2211yescharacteristic
182#15689185C2211yescharacteristic
183#15689183C2211yescharacteristic
184#15689183C2211yescharacteristic
185#15689182C2211yescharacteristic
186#15689179C2211yescharacteristic
187#15689178C2211yescharacteristic
188C47×#559C2211yescharacteristic, complemented
189C47×#554C2211yescharacteristic
190C47×#490C2211yescharacteristic, complemented
191C47×#489C2211yescharacteristic, complemented
192C47×#488C2211yescharacteristic, complemented
193C47×#479C2211yescharacteristic, complemented
194C47×#478C2211yescharacteristic, complemented
195C47×#474C2211yescharacteristic, complemented
196C47×#463C2211yescharacteristic
197C47×#463C2211yescharacteristic
198C47×#459C2211yescharacteristic
199C47×#446C2211yescharacteristic, complemented
200C47×#442C2211yescharacteristic
201C47×#440C2211yescharacteristic
202C4×D8×C47C2211yescharacteristic
203C2×#10625352—21no—
204C2×#10625352—21no—
205C22×Dic94—21no—
206C2×Q8×D47—21no—
207C2×Q8×D47—21no—
208C2×D4×D47C2311yescharacteristic
209C22×C4×D47—21no—
210C2×#10625336C2311yescharacteristic
211C2×D376C2311yescharacteristic
212C2×#10625334C2311yescharacteristic
213C2×#10625334C2311yescharacteristic
214C2×#10625334C2311yescharacteristic
215#13094024—21no—
216#13094024C2311yescharacteristic
217#13094024C2311yescharacteristic
218#13094024C2311yescharacteristic
219#13094024C2311yescharacteristic
220#13094023—21no—
221#13094023D411yescharacteristic
222#13094023C2311yescharacteristic
223#13094023C2311yescharacteristic
224#13094023C2311yescharacteristic
225#13094023C2311yescharacteristic
226#13094022—21no—
227#13094022D411yescharacteristic
228#13094020C2311yescharacteristic
229#13094020C2311yescharacteristic
230#13094019—21no—
231#13094017—21no—
232#13094017—21no—
233#13094016C2311yescharacteristic
234#13094016C2311yescharacteristic
235#13094015—21no—
236#13094015—21no—
237#13094015C2311yescharacteristic
238#13094015C2311yescharacteristic
239#13094015C2311yescharacteristic
240#13094015C2311yescharacteristic
241#13094015C2311yescharacteristic
242#13094014—21no—
243#13094014—21no—
244#13094014D411yescharacteristic
245#13094014D411yescharacteristic
246#13094013C2311yescharacteristic
247#13094011—21no—
248#13094010—21no—
249#13094010—21no—
250#13094010—21no—
251#13094010—21no—
252#13094009—21no—
253#13094008—21no—
254#13094008—21no—
255#13094008—21no—
256#13094008—21no—
257#13094007—21no—
258#13094007—21no—
259#13094006—21no—
260#13094006—21no—
261#13094006—21no—
262#13094006—21no—
263#13094004—21no—
264#13094004—21no—
265#13094004—21no—
266#13094004—21no—
267#13094004—21no—
268#13094004—21no—
269#13094004D411yescharacteristic
270#13094003—21no—
271#13094003—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#13094002D411yescharacteristic
288#13094002D411yescharacteristic
289#13094001—21no—
290#13094001—21no—
291#13094001—21no—
292#13094001—21no—
293#13094001—21no—
294#13094001—21no—
295#13094001—21no—
296#13094001—21no—
297#13094001—21no—
298#13094001—21no—
299#13094001—21no—
300#13094001—21no—
301#13094000—21no—
302#13094000—21no—
303#13094000—21no—
304#13094000D411yescharacteristic
305#13094000C2311yescharacteristic
306#13093999C2311yescharacteristic
307#13093998—21no—
308#13093998—21no—
309#13093997—21no—
310#13093997—21no—
311#13093996—21no—
312#13093996—21no—
313#13093995—21no—
314#13093995—21no—
315#13093995C2311yescharacteristic
316#13093995C2311yescharacteristic
317Q8×Dic47C2311yescharacteristic
318Q8×Dic47C2311yescharacteristic
319C4×Dic94—21no—
320C4×Dic94C2311yescharacteristic
321C4×Dic94C2311yescharacteristic
322C4×Dic94C2311yescharacteristic
323#13093989—21no—
324#13093989—21no—
325C4×D188—21no—
326C4×D188C2311yescharacteristic
327C4×D188C2311yescharacteristic
328C4×D188C2311yescharacteristic
329C4×D188C2311yescharacteristic
330C4×D188C2311yescharacteristic
331C4×D188C2311yescharacteristic
332D4×Dic47—21no—
333D4×Dic47C2311yescharacteristic
334D4×Dic47C2311yescharacteristic
335D4×Dic47C2311yescharacteristic
336D4×Dic47C2311yescharacteristic
337D4×Dic47C2311yescharacteristic
338D4×Dic47C2311yescharacteristic
339D4×Dic47C2311yescharacteristic
340#13093986C2311yescharacteristic
341#13093986C2311yescharacteristic
342#13093986C2311yescharacteristic
343C4×C22⋊D47—21no—
344C4×C22⋊D47—21no—
345C4×C22⋊D47—21no—
346(C22⋊D47)⋊C4—21no—
347(C22⋊D47)⋊C4—21no—
348(C22⋊D47)⋊C4—21no—
349(C22⋊D47)⋊C4—21no—
350(C22⋊D47)⋊C4—21no—
351#13093982C2311yescharacteristic
352#13093982C2311yescharacteristic
353#13093981—21no—
354#13093981C2311yescharacteristic
355#13093981C2311yescharacteristic
356C2×C4⋊Dic47—21no—
357C2×C4⋊Dic47—21no—
358C2×Dic47⋊C4—21no—
359C2×Dic47⋊C4—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#13093957C2311yescharacteristic
374#13093957C2311yescharacteristic
375#13093957C2311yescharacteristic
376#13093957C2311yescharacteristic
377#13093957C2311yescharacteristic
378#13093956C2311yescharacteristic
379#13093956C2311yescharacteristic
380#13093956C2311yescharacteristic
381#13093956C2311yescharacteristic
382#13093956C2311yescharacteristic
383#13093956C2311yescharacteristic
384#13093955C2311yescharacteristic
385#13093955C2311yescharacteristic
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#13093946C2311yescharacteristic
404#13093946C2311yescharacteristic
405#13093946C2311yescharacteristic
406#13093946C2311yescharacteristic
407#13093946C2311yescharacteristic
408#13093946C2311yescharacteristic
409#13093945C2311yescharacteristic
410#13093945C2311yescharacteristic
411#13093945C2311yescharacteristic
412#13093945C2311yescharacteristic
413#13093945C2311yescharacteristic
414#13093945C2311yescharacteristic
415#13093945C2311yescharacteristic
416#13093945C2311yescharacteristic
417#13093945C2311yescharacteristic
418#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×D8×C47C2311yescharacteristic
437C2×D8×C47C2311yescharacteristic
438C4⋊Q8×C47C2311yescharacteristic
439#127×C47C2311yescharacteristic
440#125×C47C2311yescharacteristic
441#125×C47C2311yescharacteristic
442#124×C47—21no—
443#124×C47C2311yescharacteristic
444#124×C47C2311yescharacteristic
445#123×C47—21no—
446#123×C47—21no—
447C22⋊Q8×C47—21no—
448C22⋊Q8×C47—21no—
449C22⋊Q8×C47—21no—
450C4×Q8×C47C2311yescharacteristic
451C4×Q8×C47C2311yescharacteristic
452C4×D4×C47—21no—
453C4×D4×C47C2311yescharacteristic
454C4×D4×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#102×C47C2311yescharacteristic
469#102×C47C2311yescharacteristic
470#102×C47C2311yescharacteristic
471#102×C47C2311yescharacteristic
472#102×C47C2311yescharacteristic
473#102×C47C2311yescharacteristic
474#102×C47C2311yescharacteristic
475#97×C47C2311yescharacteristic
476#97×C47C2311yescharacteristic
477C4×C8×C47C2311yescharacteristic
478C23×D47—21no—
479C2×Q8×C47—21no—
480C2×Q8×C47C2×D411yescharacteristic
481C2×Q8×C47C2411yescharacteristic
482C2×D4×C47—21no—
483C2×D4×C47—21no—
484C2×D4×C47C2411yescharacteristic
485C2×D4×C47C2411yescharacteristic
486C2×D4×C47C2411yescharacteristic
487C22×C4×C47—21no—
488C22×C4×C47—21no—
489C22×C4×C47—21no—
490C22×C4×C47—21no—
491C22×C4×C47—21no—
492C2×C22⋊D47—21no—
493C2×C22⋊D47—21no—
494C2×C22⋊D47—21no—
495C2×C22⋊D47—21no—
496C2×C22⋊D47—21no—
497C2×C22⋊D47—21no—
498C2×C22⋊D47—21no—
499C22×Dic47—21no—
500C22×Dic47—21no—
501C22×Dic47—21no—
502C22×Dic47—21no—
503C22×Dic47—21no—
504C22×Dic47—21no—
505C22×Dic47—21no—
506Q8×D47—82no—
507Q8×D47—82no—
508#10625352—82no—
509#10625352—82no—
510D4×D47—22no—
511D4×D47—22no—
512C2×D188—21no—
513C2×D188C2411yescharacteristic
514C2×D188C2411yescharacteristic
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—82no—
526C2×C4×D47C2×D411yescharacteristic
527C2×C4×D47C2×D411yescharacteristic
528C2×C4×D47C2411yescharacteristic
529C2×Dic94—21no—
530C2×Dic94—21no—
531C2×Dic94—21no—
532C2×Dic94—21no—
533C2×Dic94—21no—
534C2×Dic94—21no—
535C2×Dic94—21no—
536C2×Dic94—21no—
537C2×Dic94—82no—
538C2×Dic94C2×D411yescharacteristic
539C2×Dic94C2×D411yescharacteristic
540C2×Dic94C2×D411yescharacteristic
541SD16×C47—22no—
542D8×C47—22no—
543D8×C47—22no—
544C2×C8×C47C2411yescharacteristic
545C2×C8×C47C2411yescharacteristic
546C2×C8×C47C2411yescharacteristic
547C2×C8×C47C2411yescharacteristic
548C4⋊C4×C47—21no—
549C4⋊C4×C47—21no—
550C4⋊C4×C47—21no—
551C4⋊C4×C47—21no—
552C4⋊C4×C47—21no—
553C4⋊C4×C47—21no—
554C4⋊C4×C47C2×D411yescharacteristic
555C4⋊C4×C47C2×D411yescharacteristic
556C4⋊C4×C47C2×D411yescharacteristic
557C4⋊C4×C47C2411yescharacteristic
558C4⋊C4×C47C2411yescharacteristic
559C4⋊C4×C47C2411yescharacteristic
560C4⋊C4×C47C2411yescharacteristic
561C22⋊C4×C47—21no—
562C22⋊C4×C47—21no—
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×C47—21no—
570C42×C47—21no—
571C42×C47C2411yescharacteristic
572C42×C47C2411yescharacteristic
573C42×C47C2411yescharacteristic
574C22⋊Dic47—21no—
575C22⋊Dic47—21no—
576C22⋊Dic47—21no—
577C22⋊Dic47—21no—
578C22⋊Dic47—21no—
579C22⋊Dic47—21no—
580C22⋊Dic47—21no—
581C22⋊Dic47—21no—
582C22⋊Dic47—21no—
583#10625336—22no—
584#10625334—22no—
585#10625334—22no—
586#10625334—22no—
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)⋊C4C2×D411yescharacteristic
603(C2×D47)⋊C4C2×D411yescharacteristic
604(C2×D47)⋊C4C2×D411yescharacteristic
605(C2×D47)⋊C4C2×D411yescharacteristic
606C4⋊Dic47—21no—
607C4⋊Dic47—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⋊Dic47—21no—
617C4⋊Dic47C2×D411yescharacteristic
618C4⋊Dic47C2×D411yescharacteristic
619C4⋊Dic47C2×D411yescharacteristic
620C4⋊Dic47C2411yescharacteristic
621C4⋊Dic47C2411yescharacteristic
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⋊C4—21no—
641Dic47⋊C4C2×D411yescharacteristic
642Dic47⋊C4C2×D411yescharacteristic
643Dic47⋊C4C2×D411yescharacteristic
644Dic47⋊C4C2×D411yescharacteristic
645Dic47⋊C4C2×D411yescharacteristic
646Dic47⋊C4C2×D411yescharacteristic
647Dic47⋊C4C2×D411yescharacteristic
648Dic47⋊C4C2×D411yescharacteristic
649Dic47⋊C4C2×D411yescharacteristic
650Dic47⋊C4C2×D411yescharacteristic
651C4×Dic47—21no—
652C4×Dic47—21no—
653C4×Dic47—21no—
654C4×Dic47—21no—
655C4×Dic47C2×D411yescharacteristic
656C4×Dic47C2×D411yescharacteristic
657C4×Dic47C2411yescharacteristic
658C4×Dic47C2411yescharacteristic
659C4×Dic47C2411yescharacteristic
660C2×C47⋊C8C2411yescharacteristic
661C2×C47⋊C8C2411yescharacteristic
662C2×C47⋊C8C2411yescharacteristic
663C2×C47⋊C8C2411yescharacteristic
664D376—22no—
665C23×C47—21no—
666C23×C47—21no—
667C23×C47—21no—
668C22×D47—21no—
669C22×D47—24no—
670C22×D47—21no—
671C22×D47—81no—
672C22×D47—81no—
673C22×D47C22×D411yescharacteristic
674Q8×C47—21no—
675Q8×C47—21no—
676Q8×C47—41no—
677Q8×C47—81no—
678D4×C47—21no—
679D4×C47—21no—
680D4×C47—21no—
681D4×C47—21no—
682D4×C47—21no—
683D4×C47—42no—
684D4×C47—81no—
685D4×C472−1+412yes—
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×C47—81no—
694C2×C4×C47—81no—
695C2×C4×C47—81no—
696C2×C4×C47C22×D411yescharacteristic
697C2×C4×C47C22×D411yescharacteristic
698C2×C4×C47C22×D411yescharacteristic
699C2×C4×C47C22×D411yescharacteristic
700C2×C4×C47C22×D411yescharacteristic
701C2×C4×C47C22×D411yescharacteristic
702C2×C4×C47C2511yescharacteristic
703C22⋊D47—24no—
704C22⋊D47—81no—
705C22⋊D47—81no—
706C22⋊D47—81no—
707C22⋊D47—81no—
708C22⋊D47—81no—
709C22⋊D47—81no—
710C2×Dic47—21no—
711C2×Dic47—21no—
712C2×Dic47—21no—
713C2×Dic47—21no—
714C2×Dic47—21no—
715C2×Dic47—21no—
716C2×Dic47—42no—
717C2×Dic47—81no—
718C2×Dic47—81no—
719C2×Dic47—81no—
720C2×Dic47—81no—
721C2×Dic47—81no—
722C2×Dic47—81no—
723C2×Dic47C22×D411yescharacteristic
724C2×Dic47C22×D411yescharacteristic
725C2×Dic47C22×D411yescharacteristic
726C2×Dic47C22×D411yescharacteristic
727C2×Dic47C22×D411yescharacteristic
728C2×Dic47C22×D411yescharacteristic
729C2×Dic47C22×D411yescharacteristic
730D188—21no—
731D188—21no—
732D188—21no—
733D188—81no—
734D1882−1+412yes—
735C4×D47—21no—
736C4×D47—21no—
737C4×D47—41no—
738C4×D47—41no—
739C4×D47—42no—
740C4×D47—42no—
741C4×D47—81no—
742C4×D47—81no—
743C4×D47—81no—
744C4×D47—81no—
745C4×D47—81no—
746C4×D47—81no—
747C4×D47—81no—
748C4×D47—81no—
749Dic94—41no—
750Dic94—41no—
751Dic94—41no—
752Dic94—42no—
753Dic94—42no—
754Dic94—81no—
755Dic94—81no—
756Dic94—81no—
757Dic94—81no—
758Dic94—81no—
759Dic94—81no—
760C8×C47—21no—
761C8×C47—21no—
762C8×C47—21no—
763C8×C47—21no—
764C47⋊C8—21no—
765C47⋊C8—21no—
766C47⋊C8—21no—
767C47⋊C8—21no—
768#61872—471nomaximal, Sylow
769C22×C47—22no—
770C22×C47—41no—
771C22×C47—41no—
772C22×C47—41no—
773C22×C47—41no—
774C22×C47—41no—
775C22×C47—41no—
776C22×C47—41no—
777C22×C47—41no—
778C22×C47C23×D411yescharacteristic
779C2×D47—21no—
780C2×D47—21no—
781C2×D47—21no—
782C2×D47—22no—
783C2×D47—41no—
784C2×D47—41no—
785C2×D47—41no—
786C2×D47—41no—
787C2×D47—41no—
788C2×D47—84no—
789C4×C47—21no—
790C4×C47—21no—
791C4×C47—21no—
792C4×C47—21no—
793C4×C47—21no—
794C4×C47—21no—
795C4×C47—41no—
796C4×C47—41no—
797C4×C47—41no—
798C4×C47—41no—
799C4×C47—41no—
800C4×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—41no—
815#3554—471no—
816#3501—471no—
817#3389—471no—
818#3389—471no—
819#3388—471no—
820#3388—471no—
821#3384—471no—
822#3384—471no—
823#3384—471no—
824#3384—471no—
825#3373—471no—
826#3373—471no—
827#3370—471no—
828#3370—471no—
829#3370—471no—
830#3370D4711yescharacteristic, complemented
831#3366—471no—
832#3366—471no—
833#3244—471no—
834#3244—471no—
835#3241—471no—
836#3241—471no—
837#3240—471no—
838#3235—471no—
839#3122—471no—
840#3122—471no—
841#3118—471no—
842#3118—471no—
843#3114—471no—
844#3109—471no—
845#2987—471no—
846C2×C47—42no—
847C2×C47—81no—
848C2×C47—81no—
849C2×C47#348611yescharacteristic
850C2×C47#358511yescharacteristic
851C2×C47#358511yescharacteristic
852D47—41no—
853D47—42no—
854D47—81no—
855#562—941no—
856#562—941no—
857#559—471no—
858#559—471no—
859#559C2×D4711yescharacteristic, complemented
860#557—471no—
861#554—471no—
862#554—471no—
863#554—471no—
864#554—471no—
865#554—471no—
866#554—471no—
867#554—471no—
868#554—941no—
869#554—941no—
870#554—941no—
871#554C2×D4711yescharacteristic
872#550—471no—
873D4×Q8—471no—
874D4×Q8—471no—
875D4×Q8—471no—
876D4×Q8—941no—
877#548—941no—
878#547—941no—
879#544—471no—
880#544—471no—
881#543—941no—
882#543—941no—
883#542—471no—
884#542—471no—
885#542—941no—
886#540—471no—
887#540—471no—
888#539—941no—
889#539—941no—
890#536—941no—
891#533—471no—
892#533—471no—
893#532—471no—
894#529—471no—
895C2×C22⋊Q8—941no—
896C2×C22⋊Q8—941no—
897#518—471no—
898#518—471no—
899C2×C4×D4—471no—
900#501—471no—
901#501—471no—
902#501—471no—
903#501—471no—
904#501—471no—
905#501—471no—
906#501—471no—
907#501—471no—
908#499—471no—
909#499—471no—
910#498—471no—
911#498—471no—
912#490—471no—
913#490—471no—
914#490—471no—
915#490C2×D4711yescharacteristic, complemented
916#489—471no—
917#489—471no—
918#489—471no—
919#489C2×D4711yescharacteristic, complemented
920#488—471no—
921#488C2×D4711yescharacteristic, complemented
922#486—471no—
923#486—471no—
924#485—471no—
925#485—471no—
926#483—471no—
927#482—471no—
928#482—471no—
929#482—471no—
930#482—471no—
931#482—471no—
932#482—471no—
933#481—471no—
934#481—471no—
935#480—471no—
936#479—471no—
937#479—471no—
938#479—471no—
939#479C2×D4711yescharacteristic, complemented
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#476—471no—
955#476—471no—
956#476—471no—
957#476—471no—
958#476—471no—
959#476—471no—
960#476—471no—
961#476—471no—
962#476—471no—
963#476—471no—
964#475—471no—
965#475—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#463C2×D4711yescharacteristic
977#463C2×D4711yescharacteristic
978#459—471no—
979#459—471no—
980#459—471no—
981#459—471no—
982#459—471no—
983#459C2×D4711yescharacteristic
984#450—471no—
985#447—471no—
986#447—471no—
987#447—471no—
988#446—471no—
989#446—471no—
990#446—471no—
991#446—471no—
992#446—471no—
993#446—471no—
994#446—471no—
995#446C2×D4711yescharacteristic, complemented
996#442—471no—
997#442—471no—
998#442—471no—
999#442—471no—
1000#442—471no—
1001#442—471no—
1002#442—471no—
1003#442—471no—
1004#442—471no—
1005#442—471no—
1006#442—471no—
1007#442C2×D4711yescharacteristic
1008#440—471no—
1009#440—471no—
1010#440—471no—
1011#440C2×D4711yescharacteristic
1012C4×SD16—471no—
1013C4×SD16—471no—
1014C4×D8—471no—
1015C4×D8—471no—
1016C4×D8—471no—
1017C4×D8—471no—
1018C4×D8—471no—
1019C4×D8C2×D4711yescharacteristic
1020#433—471no—
1021#433—471no—
1022#433—471no—
1023#433—471no—
1024#432—471no—
1025#432—471no—
1026C47#6187211yescharacteristic, complemented, Sylow
1027C2×#41—941no—
1028C2×#41—941no—
1029C22×Q8—941no—
1030C22×Q8—941no—
1031C22×Q8—941no—
1032C22×D4—471no—
1033C23×C4—941no—
1034C2×SD16—471no—
1035C2×SD16C22×D4711yescharacteristic
1036C2×D8—471no—
1037C2×D8—471no—
1038C2×D8—471no—
1039C2×D8—471no—
1040C2×D8C22×D4711yescharacteristic
1041C2×D8C22×D4711yescharacteristic
1042C4⋊Q8—471no—
1043C4⋊Q8—471no—
1044C4⋊Q8—471no—
1045C4⋊Q8—471no—
1046C4⋊Q8—471no—
1047C4⋊Q8—471no—
1048C4⋊Q8—471no—
1049C4⋊Q8—471no—
1050C4⋊Q8—471no—
1051C4⋊Q8—471no—
1052C4⋊Q8—941no—
1053C4⋊Q8—941no—
1054C4⋊Q8—941no—
1055C4⋊Q8C22×D4711yescharacteristic
1056#127—471no—
1057#127—471no—
1058#127C22×D4711yescharacteristic
1059#126—941no—
1060#126—941no—
1061#126—941no—
1062#125—471no—
1063#125—471no—
1064#125—471no—
1065#125—471no—
1066#125—471no—
1067#125—471no—
1068#125—471no—
1069#125—471no—
1070#125—471no—
1071#125—941no—
1072#125—941no—
1073#125—941no—
1074#125—941no—
1075#125C22×D4711yescharacteristic
1076#125C22×D4711yescharacteristic
1077#124—21no—
1078#124—471no—
1079#124—941no—
1080#124—941no—
1081#124—941no—
1082#124—941no—
1083#124—941no—
1084#124C22×D4711yescharacteristic
1085#124C22×D4711yescharacteristic
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—21no—
1102C22⋊Q8—471no—
1103C22⋊Q8—471no—
1104C22⋊Q8—471no—
1105C22⋊Q8—471no—
1106C22⋊Q8—471no—
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—471no—
1146#121—471no—
1147#121—471no—
1148#121—941no—
1149#121—941no—
1150#121—941no—
1151#121—941no—
1152#121—941no—
1153#121—941no—
1154#121—941no—
1155#121—941no—
1156C4×Q8—471no—
1157C4×Q8—471no—
1158C4×Q8—471no—
1159C4×Q8—471no—
1160C4×Q8—471no—
1161C4×Q8—941no—
1162C4×Q8—941no—
1163C4×Q8—941no—
1164C4×Q8C22×D4711yescharacteristic
1165C4×Q8C22×D4711yescharacteristic
1166C4×D4—21no—
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—941no—
1184C4×D4—941no—
1185C4×D4—941no—
1186C4×D4—941no—
1187C4×D4—941no—
1188C4×D4—941no—
1189C4×D4—941no—
1190C4×D4—941no—
1191C4×D4—941no—
1192C4×D4—941no—
1193C4×D4C22×D4711yescharacteristic
1194C4×D4C22×D4711yescharacteristic
1195C4×D4C22×D4711yescharacteristic
1196C4×D4C22×D4711yescharacteristic
1197C4×D4C22×D4711yescharacteristic
1198#117—471no—
1199#117—471no—
1200#117—471no—
1201#117—471no—
1202#117—941no—
1203C2×C4⋊C4—21no—
1204C2×C4⋊C4—471no—
1205C2×C4⋊C4—941no—
1206C2×C4⋊C4—941no—
1207C2×C4⋊C4—941no—
1208C2×C4⋊C4—941no—
1209C2×C4⋊C4—941no—
1210C2×C4⋊C4—941no—
1211C2×C4⋊C4—941no—
1212C2×C22⋊C4—941no—
1213C2×C22⋊C4—941no—
1214C2×C22⋊C4—941no—
1215C2×C22⋊C4—941no—
1216C2×C22⋊C4—941no—
1217C2×C42—471no—
1218#107—471no—
1219#107—471no—
1220#107—471no—
1221#107—471no—
1222#107—471no—
1223#107—471no—
1224#107—471no—
1225#107—471no—
1226#107C22×D4711yescharacteristic
1227#107C22×D4711yescharacteristic
1228#106—471no—
1229#106—471no—
1230#106—471no—
1231#106—471no—
1232#106—471no—
1233#106—471no—
1234#106—471no—
1235#106—471no—
1236#106—471no—
1237#106—471no—
1238#106—471no—
1239#106—471no—
1240#106—471no—
1241#106C22×D4711yescharacteristic
1242C4⋊C8—471no—
1243C4⋊C8—471no—
1244C4⋊C8—471no—
1245C4⋊C8—471no—
1246C4⋊C8—471no—
1247C4⋊C8—471no—
1248C4⋊C8—471no—
1249C4⋊C8—471no—
1250C4⋊C8—471no—
1251C4⋊C8C22×D4711yescharacteristic
1252C4⋊C8C22×D4711yescharacteristic
1253C4⋊C8C22×D4711yescharacteristic
1254#103—471no—
1255#103—471no—
1256#103—471no—
1257#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#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⋊C8—471no—
1289C22⋊C8—471no—
1290#97—471no—
1291#97—471no—
1292#97—471no—
1293#97—471no—
1294#97—471no—
1295#97—471no—
1296#97C22×D4711yescharacteristic
1297#97C22×D4711yescharacteristic
1298C4×C8—471no—
1299C4×C8—471no—
1300C4×C8—471no—
1301C4×C8C22×D4711yescharacteristic
1302C24—941no—
1303#41—3762no—
1304#41—3762no—
1305C2×Q8—21no—
1306C2×Q8—471no—
1307C2×Q8—471no—
1308C2×Q8—471no—
1309C2×Q8—941no—
1310C2×Q8—941no—
1311C2×Q8—941no—
1312C2×Q8—941no—
1313C2×Q8—941no—
1314C2×Q8—941no—
1315C2×Q8—941no—
1316C2×Q8—941no—
1317C2×Q8—3762no—
1318C2×Q8—3762no—
1319C2×Q8—3762no—
1320C2×Q8D4×D4711yescharacteristic
1321C2×Q8C23×D4711yescharacteristic
1322C2×D4—21no—
1323C2×D4—21no—
1324C2×D4—471no—
1325C2×D4—471no—
1326C2×D4—941no—
1327C2×D4—941no—
1328C2×D4—941no—
1329C2×D4—941no—
1330C2×D4—941no—
1331C2×D4—941no—
1332C2×D4—942no—
1333C2×D4—942no—
1334C2×D4—941no—
1335C2×D4—941no—
1336C2×D4C23×D4711yescharacteristic
1337C2×D4C23×D4711yescharacteristic
1338C2×D4C23×D4711yescharacteristic
1339C22×C4—21no—
1340C22×C4—21no—
1341C22×C4—21no—
1342C22×C4—21no—
1343C22×C4—21no—
1344C22×C4—471no—
1345C22×C4—471no—
1346C22×C4—471no—
1347C22×C4—941no—
1348C22×C4—941no—
1349C22×C4—941no—
1350C22×C4—941no—
1351C22×C4—941no—
1352C22×C4—941no—
1353C22×C4—941no—
1354C22×C4—941no—
1355C22×C4—941no—
1356C22×C4—941no—
1357C22×C4—941no—
1358C22×C4—941no—
1359C22×C4—941no—
1360C22×C4—941no—
1361C22×C4—941no—
1362C22×C4—941no—
1363C22×C4—941no—
1364C22×C4—3762no—
1365SD16—22no—
1366SD16—942no—
1367D8—22no—
1368D8—22no—
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—471no—
1388C4⋊C4—471no—
1389C4⋊C4—471no—
1390C4⋊C4—471no—
1391C4⋊C4—471no—
1392C4⋊C4—471no—
1393C4⋊C4—471no—
1394C4⋊C4—471no—
1395C4⋊C4—471no—
1396C4⋊C4—471no—
1397C4⋊C4—471no—
1398C4⋊C4—471no—
1399C4⋊C4—471no—
1400C4⋊C4—471no—
1401C4⋊C4—471no—
1402C4⋊C4—471no—
1403C4⋊C4—471no—
1404C4⋊C4—471no—
1405C4⋊C4—471no—
1406C4⋊C4—941no—
1407C4⋊C4—941no—
1408C4⋊C4—941no—
1409C4⋊C4—941no—
1410C4⋊C4—941no—
1411C4⋊C4—941no—
1412C4⋊C4—941no—
1413C4⋊C4—941no—
1414C4⋊C4—941no—
1415C4⋊C4—941no—
1416C4⋊C4—941no—
1417C4⋊C4—941no—
1418C4⋊C4—941no—
1419C4⋊C4—941no—
1420C4⋊C4—941no—
1421C4⋊C4—941no—
1422C4⋊C4—941no—
1423C4⋊C4—941no—
1424C4⋊C4—941no—
1425C4⋊C4—941no—
1426C4⋊C4—941no—
1427C4⋊C4—941no—
1428C4⋊C4—941no—
1429C4⋊C4—941no—
1430C4⋊C4—941no—
1431C4⋊C4—941no—
1432C4⋊C4D4×D4711yescharacteristic
1433C4⋊C4D4×D4711yescharacteristic
1434C4⋊C4D4×D4711yescharacteristic
1435C4⋊C4C23×D4711yescharacteristic
1436C4⋊C4C23×D4711yescharacteristic
1437C4⋊C4C23×D4711yescharacteristic
1438C4⋊C4C23×D4711yescharacteristic
1439C22⋊C4—21no—
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—21no—
1445C22⋊C4—21no—
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—471no—
1449C22⋊C4—471no—
1450C22⋊C4—471no—
1451C22⋊C4—471no—
1452C22⋊C4—941no—
1453C22⋊C4—941no—
1454C22⋊C4—941no—
1455C22⋊C4—941no—
1456C22⋊C4—941no—
1457C22⋊C4—941no—
1458C22⋊C4—941no—
1459C22⋊C4—941no—
1460C22⋊C4—941no—
1461C22⋊C4—941no—
1462C22⋊C4—941no—
1463C22⋊C4—941no—
1464C22⋊C4—941no—
1465C22⋊C4—941no—
1466C22⋊C4—941no—
1467C22⋊C4—941no—
1468C22⋊C4—941no—
1469C22⋊C4—941no—
1470C22⋊C4—941no—
1471C22⋊C4—941no—
1472C22⋊C4—941no—
1473C22⋊C4—941no—
1474C22⋊C4—941no—
1475C22⋊C4—941no—
1476C42—21no—
1477C42—471no—
1478C42—471no—
1479C42—471no—
1480C42—471no—
1481C42—471no—
1482C42—941no—
1483C42—941no—
1484C42—941no—
1485C42—941no—
1486C42C23×D4711yescharacteristic
1487C42C23×D4711yescharacteristic
1488C42C23×D4711yescharacteristic
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—471no—
1493C23—944no—
1494C23—941no—
1495C23—941no—
1496C23—3761no—
1497C23—3761no—
1498Q8—21no—
1499Q8—21no—
1500Q8—41no—
1501Q8—81no—
1502Q8—3761no—
1503Q8—3761no—
1504Q8—3761no—
1505Q8—3761no—
1506Q8—3761no—
1507Q8—3761no—
1508Q8—1881no—
1509Q8—1881no—
1510Q8—1881no—
1511Q8—1882no—
1512Q8—1882no—
1513D4—21no—
1514D4—21no—
1515D4—21no—
1516D4—21no—
1517D4—21no—
1518D4—42no—
1519D4—81no—
1520D4—472no—
1521D4—944no—
1522D4—941no—
1523D4—941no—
1524D4—941no—
1525D4—3761no—
1526D4—3761no—
1527D4—3761no—
1528D4—3761no—
1529D4—3761no—
1530D4—3761no—
1531D4—3761no—
1532D4#1309407112yes—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—81no—
1539C2×C4—81no—
1540C2×C4—81no—
1541C2×C4—81no—
1542C2×C4—81no—
1543C2×C4—471no—
1544C2×C4—471no—
1545C2×C4—471no—
1546C2×C4—471no—
1547C2×C4—471no—
1548C2×C4—471no—
1549C2×C4—471no—
1550C2×C4—941no—
1551C2×C4—941no—
1552C2×C4—941no—
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—1881no—
1573C2×C4—1881no—
1574C2×C4—1882no—
1575C2×C4—1882no—
1576C2×C4—1882no—
1577C2×C4C2×D4×D4711yescharacteristic
1578C2×C4C2×D4×D4711yescharacteristic
1579C2×C4C2×D4×D4711yescharacteristic
1580C2×C4C2×D4×D4711yescharacteristic
1581C2×C4C2×D4×D4711yescharacteristic
1582C2×C4C2×D4×D4711yescharacteristic
1583C2×C4C24×D4711yescharacteristic
1584C8—21no—
1585C8—21no—
1586C8—21no—
1587C8—21no—
1588C8—941no—
1589C8—941no—
1590C8—941no—
1591C8—941no—
1592C22—22no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—941no—
1602C22—942no—
1603C22—941no—
1604C22—941no—
1605C22—3764no—
1606C22—1881no—
1607C22—1881no—
1608C22—1881no—
1609C22—1881no—
1610C22—1881no—
1611C22C22×D4×D4711yescharacteristic
1612C4—21no—
1613C4—21no—
1614C4—21no—
1615C4—21no—
1616C4—21no—
1617C4—21no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—941no—
1624C4—941no—
1625C4—941no—
1626C4—941no—
1627C4—941no—
1628C4—941no—
1629C4—941no—
1630C4—1881no—
1631C4—1881no—
1632C4—1881no—
1633C4—1881no—
1634C4—1881no—
1635C4—1881no—
1636C42−1+4×D4711yescharacteristic
1637C4C2×#1309407111yescharacteristic
1638C2—42no—
1639C2—81no—
1640C2—81no—
1641C2—3761no—
1642C2—1881no—
1643C2—1882no—
1644C2#2025703411yescharacteristic
1645C2#2025816311yescharacteristic
1646C2#2025816511yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3370C2
socleC22×C47C23×D4
hypercenter#3370D47
hypocenterC47#61872
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3370

Complements

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

NH ≅ G/Ntype
1. #20257847C2semidirect
2. #20257187C2semidirect
3. #20256347C2semidirect
4. #20256345C2semidirect
5. #20256336C2semidirect
6. #20256334C2semidirect
7. #20256291C2semidirect
8. #20256289C2semidirect
9. #20256287C2semidirect
10. #20256285C2semidirect
11. #20256177C2semidirect
12. #20256175C2semidirect
13. #20256147C2semidirect
14. #20256145C2semidirect
15. #20256135C2semidirect
16. #20256092C2semidirect
17. #20256090C2semidirect
18. #20254681C2semidirect
19. #20254679C2semidirect
20. #20254648C2semidirect
21. #20254646C2semidirect
22. #20254633C2semidirect
23. #20254581C2semidirect
24. #20253630C2semidirect
25. #20253628C2semidirect
26. #20253571C2semidirect
27. #20253569C2semidirect
28. #20253530C2semidirect
29. #20253478C2semidirect
30. #20252491C2semidirect
31. C47×#3370C2semidirect
34. #15689855C22semidirect
35. #15689855C22semidirect
36. #15689852C22semidirect
40. #15689830C22semidirect
41. #15689830C22semidirect
47. #15689793C22semidirect
48. Q8×D188C22semidirect
75. #15689533C22semidirect
76. #15689533C22semidirect
77. #15689532C22semidirect
78. #15689532C22semidirect
79. #15689531C22semidirect
80. #15689531C22semidirect
81. #15689531C22semidirect
82. #15689530C22semidirect
83. #15689524C22semidirect
84. #15689523C22semidirect
85. #15689521C22semidirect
86. #15689519C22semidirect
87. #15689487C22semidirect
88. #15689486C22semidirect
89. #15689486C22semidirect
90. #15689484C22semidirect
91. #15689484C22semidirect
92. #15689482C22semidirect
93. #15689477C22semidirect
94. #15689468C22semidirect
95. #15689468C22semidirect
108. #15689432C22semidirect
109. #15689430C22semidirect
110. #15689428C22semidirect
115. #15689425C22semidirect
116. #15689424C22semidirect
117. #15689424C22semidirect
118. #15689423C22semidirect
121. #15689421C22semidirect
122. #15689420C22semidirect
123. #15689420C22semidirect
126. #15689414C22semidirect
129. #15689411C22semidirect
130. #15689411C22semidirect
131. #15689411C22semidirect
132. #15689411C22semidirect
133. #15689410C22semidirect
134. #15689406C22semidirect
135. #15689406C22semidirect
138. #15689403C22semidirect
139. #15689401C22semidirect
140. #15689401C22semidirect
154. #15689254C22semidirect
155. #15689253C22semidirect
156. #15689252C22semidirect
157. #15689252C22semidirect
158. #15689251C22semidirect
159. #15689251C22semidirect
160. #15689250C22semidirect
188. C47×#559C22semidirect
190. C47×#490C22semidirect
191. C47×#489C22semidirect
192. C47×#488C22semidirect
193. C47×#479C22semidirect
194. C47×#478C22semidirect
195. C47×#474C22semidirect
199. C47×#446C22semidirect
830. #3370D47semidirect
859. #559C2×D47semidirect
915. #490C2×D47semidirect
919. #489C2×D47semidirect
921. #488C2×D47semidirect
939. #479C2×D47semidirect
953. #478C2×D47semidirect
971. #474C2×D47semidirect
995. #446C2×D47semidirect
1026. C47#61872semidirect

Maximal subgroups

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

subgroupindex
#202578472
#202571872
#202563472
#202563452
#202563362
#202563342
#202562912
#202562892
#202562872
#202562852
#202561772
#202561752
#202561472
#202561452
#202561352
#202560922
#202560902
#202546812
#202546792
#202546482
#202546462
#202546332
#202545812
#202536302
#202536282
#202535712
#202535692
#202535302
#202534782
#202524912
C47×#33702
#6187247