Finite Group Databasebeta

← #27091138

Subgroups — #27091138

Order 12032.

1792 conjugacy classes of subgroups.

The subgroup lattice has 1746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257280C211yesmaximal, characteristic, complemented
2#20257260C211yesmaximal, characteristic, complemented
3#20254801C211yesmaximal, characteristic, complemented
4#20254799C211yesmaximal, characteristic, complemented
5#20254793C211yesmaximal, characteristic, complemented
6#20254633C211yesmaximal, characteristic, complemented
7#20254627C211yesmaximal, characteristic, complemented
8#20254585C211yesmaximal, characteristic, complemented
9#20254584C211yesmaximal, characteristic, complemented
10#20254410C211yesmaximal, characteristic, complemented
11#20254405C211yesmaximal, characteristic, complemented
12#20254373C211yesmaximal, characteristic, complemented
13#20254373C211yesmaximal, characteristic, complemented
14#20254256C211yesmaximal, characteristic, complemented
15#20254254C211yesmaximal, characteristic, complemented
16#20254250C211yesmaximal, characteristic, complemented
17#20254248C211yesmaximal, characteristic, complemented
18#20254081C211yesmaximal, characteristic, complemented
19#20254079C211yesmaximal, characteristic, complemented
20#20253978C211yesmaximal, characteristic, complemented
21#20253976C211yesmaximal, characteristic, complemented
22#20253681C211yesmaximal, characteristic, complemented
23#20253677C211yesmaximal, characteristic, complemented
24#20253633C211yesmaximal, characteristic, complemented
25#20253629C211yesmaximal, characteristic, complemented
26#20253579C211yesmaximal, characteristic, complemented
27#20253577C211yesmaximal, characteristic, complemented
28#20253571C211yesmaximal, characteristic, complemented
29#20253569C211yesmaximal, characteristic, complemented
30#20252038C211yesmaximal, characteristic, complemented
31C47×#3257C211yesmaximal, characteristic, complemented
32#15689857—21no—
33#15689857—21no—
34#15689857—21no—
35#15689855—21no—
36#15689844—21no—
37#15689840—21no—
38#15689803—21no—
39#15689800—21no—
40#15689798—21no—
41#15689796—21no—
42#15689791—21no—
43#15689791—21no—
44#15689765—21no—
45#15689765—21no—
46#15689762—21no—
47#15689762—21no—
48#15689747C2211yescharacteristic
49#15689744C2211yescharacteristic, complemented
50#15689742C2211yescharacteristic
51#15689729C2211yescharacteristic
52#15689728C2211yescharacteristic, complemented
53#15689727C2211yescharacteristic
54#15689696C2211yescharacteristic
55#15689689C2211yescharacteristic
56#15689689C2211yescharacteristic
57#15689689C2211yescharacteristic
58#15689679C2211yescharacteristic, complemented
59#15689678C2211yescharacteristic, complemented
60#15689670C2211yescharacteristic
61#15689670C2211yescharacteristic
62#15689668C2211yescharacteristic, complemented
63#15689668C2211yescharacteristic, complemented
64#127×D47C2211yescharacteristic, complemented
65#15689660C2211yescharacteristic
66#15689659C2211yescharacteristic, complemented
67#15689655C2211yescharacteristic
68#15689654C2211yescharacteristic, complemented
69#124×D47C2211yescharacteristic, complemented
70#15689599C2211yescharacteristic, complemented
71#15689595C2211yescharacteristic, complemented
72#15689595C2211yescharacteristic, complemented
73#15689595C2211yescharacteristic, complemented
74#15689591C2211yescharacteristic
75#15689531C2211yescharacteristic, complemented
76#15689531C2211yescharacteristic, complemented
77#15689530C2211yescharacteristic, complemented
78#15689530C2211yescharacteristic, complemented
79#15689511C2211yescharacteristic
80#15689511C2211yescharacteristic
81#15689509C2211yescharacteristic
82#15689509C2211yescharacteristic
83#15689486C2211yescharacteristic, complemented
84#15689486C2211yescharacteristic, complemented
85#15689486C2211yescharacteristic, complemented
86#15689486C2211yescharacteristic, complemented
87#15689484C2211yescharacteristic, complemented
88#15689484C2211yescharacteristic, complemented
89#15689481C2211yescharacteristic, complemented
90#15689481C2211yescharacteristic, complemented
91#15689467C2211yescharacteristic, complemented
92#15689466C2211yescharacteristic, complemented
93#15689463C2211yescharacteristic, complemented
94#15689462C2211yescharacteristic, complemented
95#15689450C2211yescharacteristic
96#15689450C2211yescharacteristic, complemented
97#15689450C2211yescharacteristic, complemented
98#15689449C2211yescharacteristic
99#15689449C2211yescharacteristic, complemented
100#15689449C2211yescharacteristic, complemented
101#15689446C2211yescharacteristic
102#15689446C2211yescharacteristic, complemented
103#15689446C2211yescharacteristic, complemented
104#15689445C2211yescharacteristic
105#15689445C2211yescharacteristic, complemented
106#15689445C2211yescharacteristic, complemented
107#15689431C2211yescharacteristic, complemented
108#15689430C2211yescharacteristic, complemented
109#15689427C2211yescharacteristic, complemented
110#15689424C2211yescharacteristic, complemented
111#15689423C2211yescharacteristic, complemented
112#15689420C2211yescharacteristic, complemented
113#15689414C2211yescharacteristic, complemented
114#15689413C2211yescharacteristic, complemented
115#15689410C2211yescharacteristic, complemented
116#15689404C2211yescharacteristic, complemented
117#15689403C2211yescharacteristic, complemented
118#15689400C2211yescharacteristic, complemented
119#15689376C2211yescharacteristic, complemented
120#15689374C2211yescharacteristic, complemented
121#15689374C2211yescharacteristic, complemented
122#15689371C2211yescharacteristic, complemented
123#15689369C2211yescharacteristic, complemented
124#15689367C2211yescharacteristic, complemented
125#15689359C2211yescharacteristic, complemented
126#15689357C2211yescharacteristic, complemented
127#15689357C2211yescharacteristic, complemented
128#15689354C2211yescharacteristic, complemented
129#15689352C2211yescharacteristic, complemented
130#15689350C2211yescharacteristic, complemented
131#15689339C2211yescharacteristic, complemented
132#15689339C2211yescharacteristic, complemented
133#15689338C2211yescharacteristic, complemented
134#15689338C2211yescharacteristic, complemented
135#15689335C2211yescharacteristic, complemented
136#15689335C2211yescharacteristic, complemented
137#15689324C2211yescharacteristic, complemented
138#15689323C2211yescharacteristic, complemented
139#15689320C2211yescharacteristic, complemented
140#15689319C2211yescharacteristic
141#15689318C2211yescharacteristic
142#15689315C2211yescharacteristic
143#15689275C2211yescharacteristic, complemented
144#15689275C2211yescharacteristic, complemented
145#15689272C2211yescharacteristic, complemented
146#15689272C2211yescharacteristic, complemented
147#15689263C2211yescharacteristic, complemented
148#15689263C2211yescharacteristic, complemented
149#15689260C2211yescharacteristic, complemented
150#15689260C2211yescharacteristic, complemented
151#15689258C2211yescharacteristic
152#15689258C2211yescharacteristic
153#15689258C2211yescharacteristic, complemented
154#15689258C2211yescharacteristic, complemented
155#15689255C2211yescharacteristic
156#15689255C2211yescharacteristic
157#15689255C2211yescharacteristic, complemented
158#15689255C2211yescharacteristic, complemented
159#15689235C2211yescharacteristic, complemented
160#15689234C2211yescharacteristic, complemented
161#15689232C2211yescharacteristic, complemented
162#15689232C2211yescharacteristic, complemented
163#15689226C2211yescharacteristic, complemented
164#15689224C2211yescharacteristic, complemented
165#15689222C2211yescharacteristic, complemented
166#15689220C2211yescharacteristic, complemented
167#15689214C2211yescharacteristic, complemented
168SD16×Dic47C2211yescharacteristic, complemented
169#15689210C2211yescharacteristic, complemented
170#15689208C2211yescharacteristic, complemented
171D8×Dic47C2211yescharacteristic, complemented
172#15689205C2211yescharacteristic, complemented
173#15689203C2211yescharacteristic, complemented
174#15689203C2211yescharacteristic, complemented
175#15689183C2211yescharacteristic, complemented
176#15689183C2211yescharacteristic, complemented
177#15689183C2211yescharacteristic, complemented
178#15689183C2211yescharacteristic, complemented
179#15689179C2211yescharacteristic, complemented
180#15689179C2211yescharacteristic, complemented
181#15689179C2211yescharacteristic, complemented
182#15689179C2211yescharacteristic, complemented
183#15689150C2211yescharacteristic, complemented
184#15689091C2211yescharacteristic
185#15689089C2211yescharacteristic
186M16×Dic47C2211yescharacteristic, complemented
187C2×#13093934C2211yescharacteristic, complemented
188C47×#542C2211yescharacteristic, complemented
189C47×#540C2211yescharacteristic, complemented
190C47×#479C2211yescharacteristic, complemented
191C47×#478C2211yescharacteristic, complemented
192C47×#476C2211yescharacteristic, complemented
193C47×#474C2211yescharacteristic, complemented
194C47×#469C2211yescharacteristic, complemented
195C47×#468C2211yescharacteristic, complemented
196C47×#466C2211yescharacteristic, complemented
197C47×#465C2211yescharacteristic, complemented
198C47×#463C2211yescharacteristic, complemented
199C47×#463C2211yescharacteristic, complemented
200C47×#460C2211yescharacteristic, complemented
201C47×#459C2211yescharacteristic
202C47×#424C2211yescharacteristic, complemented
203C2×#10625350—21no—
204C2×#10625350—21no—
205C2×#10625350C2311yescharacteristic
206C2×#10625352—21no—
207C2×#10625352—21no—
208C2×Q8×D47C2311yescharacteristic
209C2×D4×D47—21no—
210C2×D4×D47—21no—
211C2×D4×D47C2311yescharacteristic
212C2×D4×D47C2311yescharacteristic
213C2×D4×D47C2311yescharacteristic
214C2×#10625325C2311yescharacteristic
215C2×#10625325C2311yescharacteristic
216C2×#10625335C2311yescharacteristic
217C2×#10625335C2311yescharacteristic
218C2×#10625336C2311yescharacteristic
219C2×#10625336C2311yescharacteristic
220C2×D376C2311yescharacteristic
221C2×D376C2311yescharacteristic
222C2×#10625334C2311yescharacteristic
223C2×#10625334C2311yescharacteristic
224C2×#10625334C2311yescharacteristic
225C2×#10625334C2311yescharacteristic
226C2×#10625329C2311yescharacteristic
227C22×C47⋊C8C2311yescharacteristic
228#13094024C2311yescharacteristic
229#13094023—21no—
230#13094023C2311yescharacteristic
231#13094023C2311yescharacteristic
232#13094021C2311yescharacteristic
233#13094020—21no—
234#13094020—21no—
235#13094020—21no—
236#13094020—21no—
237#13094020—21no—
238#13094020C2311yescharacteristic
239#13094020C2311yescharacteristic
240#13094019—21no—
241#13094019—21no—
242#13094019—21no—
243#13094019—21no—
244#13094017—21no—
245#13094017—21no—
246#13094017—21no—
247#13094016C2311yescharacteristic
248#13094015C2311yescharacteristic
249#13094015C2311yescharacteristic
250#13094013—21no—
251#13094013C2311yescharacteristic
252#13094012C2311yescharacteristic
253#13094011C2311yescharacteristic
254#13094010—21no—
255#13094010—21no—
256#13094010—21no—
257#13094010—21no—
258#13094010—21no—
259#13094010—21no—
260#13094010—21no—
261#13094010—21no—
262#13094010—21no—
263#13094010—21no—
264#13094010—21no—
265#13094010—21no—
266#13094009—21no—
267#13094009—21no—
268#13094009—21no—
269#13094009—21no—
270#13094009—21no—
271#13094009—21no—
272#13094009—21no—
273#13094008—21no—
274#13094008—21no—
275#13094006—21no—
276#13094006—21no—
277#13094006—21no—
278#13094005—21no—
279#13094005—21no—
280#13094005—21no—
281#13094004—21no—
282#13094004C2311yescharacteristic
283#13094003C2311yescharacteristic
284#13094002—21no—
285#13094002—21no—
286#13094002—21no—
287#13094001—21no—
288#13094000—21no—
289#13094000—21no—
290#13094000C2311yescharacteristic
291#13093999—21no—
292#13093999—21no—
293#13093999C2311yescharacteristic
294#13093999C2311yescharacteristic
295#13093999C2311yescharacteristic
296#13093998C2311yescharacteristic
297#13093998C2311yescharacteristic
298#13093998C2311yescharacteristic
299#13093997—21no—
300#13093997—21no—
301#13093997—21no—
302#13093997—21no—
303#13093996—21no—
304#13093996—21no—
305#13093996—21no—
306#13093996—21no—
307#13093995C2311yescharacteristic
308#13093995C2311yescharacteristic
309#13093995C2311yescharacteristic
310#13093994—21no—
311#13093994—21no—
312#13093994—21no—
313#13093992—21no—
314#13093992—21no—
315#13093992—21no—
316Q8×Dic47—21no—
317Q8×Dic47C2311yescharacteristic
318C4×Dic94—21no—
319C4×Dic94C2311yescharacteristic
320#13093989—21no—
321#13093989—21no—
322#13093989—21no—
323#13093989—21no—
324#13093989D411yescharacteristic
325#13093989D411yescharacteristic
326#13093989C2311yescharacteristic
327C4×D188—21no—
328C4×D188C2311yescharacteristic
329C4×D188C2311yescharacteristic
330C4×D188C2311yescharacteristic
331D4×Dic47—21no—
332D4×Dic47C2311yescharacteristic
333D4×Dic47C2311yescharacteristic
334D4×Dic47C2311yescharacteristic
335#13093986D411yescharacteristic
336#13093986D411yescharacteristic
337#13093986C2311yescharacteristic
338#13093986C2311yescharacteristic
339#13093986C2311yescharacteristic
340C4×C22⋊D47—21no—
341C4×C22⋊D47—21no—
342C4×C22⋊D47—21no—
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(C22⋊D47)⋊C4—21no—
352(C22⋊D47)⋊C4D411yescharacteristic
353(C22⋊D47)⋊C4D411yescharacteristic
354(C22⋊D47)⋊C4D411yescharacteristic
355(C22⋊D47)⋊C4D411yescharacteristic
356#13093983—21no—
357#13093982—21no—
358#13093982—21no—
359#13093982C2311yescharacteristic
360#13093982C2311yescharacteristic
361#13093982C2311yescharacteristic
362#13093982C2311yescharacteristic
363#13093981—21no—
364#13093981—21no—
365#13093981C2311yescharacteristic
366#13093981C2311yescharacteristic
367#13093980—21no—
368C2×(C2×D47)⋊C4—21no—
369C2×(C2×D47)⋊C4—21no—
370C2×(C2×D47)⋊C4—21no—
371C22⋊C4×D47—21no—
372C22⋊C4×D47—21no—
373C22⋊C4×D47—21no—
374C22⋊C4×D47—21no—
375C22⋊C4×D47—21no—
376C2×C4×Dic47C2311yescharacteristic
377C42×D47C2311yescharacteristic
378C42×D47C2311yescharacteristic
379#13093958C2311yescharacteristic
380#13093958C2311yescharacteristic
381#13093957C2311yescharacteristic
382#13093957C2311yescharacteristic
383#13093957C2311yescharacteristic
384#13093957C2311yescharacteristic
385#13093956C2311yescharacteristic
386#13093956C2311yescharacteristic
387#13093955C2311yescharacteristic
388#13093955C2311yescharacteristic
389#13093955C2311yescharacteristic
390#13093955C2311yescharacteristic
391C4⋊(C47⋊C8)C2311yescharacteristic
392C4⋊(C47⋊C8)C2311yescharacteristic
393C4⋊(C47⋊C8)C2311yescharacteristic
394C4⋊(C47⋊C8)C2311yescharacteristic
395#13093949C2311yescharacteristic
396#13093949C2311yescharacteristic
397#13093948C2311yescharacteristic
398#13093948C2311yescharacteristic
399#13093947C2311yescharacteristic
400#13093947C2311yescharacteristic
401#13093946C2311yescharacteristic
402#13093946C2311yescharacteristic
403#13093946C2311yescharacteristic
404#13093946C2311yescharacteristic
405#13093946C2311yescharacteristic
406#13093946C2311yescharacteristic
407#13093945C2311yescharacteristic
408#13093945C2311yescharacteristic
409#13093945C2311yescharacteristic
410#13093945C2311yescharacteristic
411#13093945C2311yescharacteristic
412#13093945C2311yescharacteristic
413#13093944C2311yescharacteristic
414#13093944C2311yescharacteristic
415#13093944C2311yescharacteristic
416#13093944C2311yescharacteristic
417#13093944C2311yescharacteristic
418#13093944C2311yescharacteristic
419(C2×D47)⋊C8C2311yescharacteristic
420(C2×D47)⋊C8C2311yescharacteristic
421(C2×D47)⋊C8C2311yescharacteristic
422(C2×D47)⋊C8C2311yescharacteristic
423(C2×D47)⋊C8C2311yescharacteristic
424(C2×D47)⋊C8C2311yescharacteristic
425(C2×D47)⋊C8C2311yescharacteristic
426(C2×D47)⋊C8C2311yescharacteristic
427#13093934C2311yescharacteristic
428#13093934C2311yescharacteristic
429#13093934C2311yescharacteristic
430#13093934C2311yescharacteristic
431#13093934C2311yescharacteristic
432#13093934C2311yescharacteristic
433C8×Dic47C2311yescharacteristic
434C8×Dic47C2311yescharacteristic
435C2×SD16×C47C2311yescharacteristic
436C2×SD16×C47C2311yescharacteristic
437C2×D8×C47C2311yescharacteristic
438C2×D8×C47C2311yescharacteristic
439C2×M16×C47C2311yescharacteristic
440C22×C8×C47C2311yescharacteristic
441C4⋊Q8×C47C2311yescharacteristic
442#127×C47C2311yescharacteristic
443#126×C47—21no—
444#125×C47C2311yescharacteristic
445#124×C47—21no—
446#124×C47C2311yescharacteristic
447#123×C47—21no—
448#123×C47—21no—
449#123×C47—21no—
450C22⋊Q8×C47—21no—
451C22⋊Q8×C47C2311yescharacteristic
452#121×C47—21no—
453#121×C47—21no—
454#121×C47C2311yescharacteristic
455#121×C47C2311yescharacteristic
456#121×C47C2311yescharacteristic
457C4×Q8×C47C2311yescharacteristic
458C4×D4×C47C2311yescharacteristic
459C4×D4×C47C2311yescharacteristic
460C4×D4×C47C2311yescharacteristic
461#117×C47C2311yescharacteristic
462#107×C47C2311yescharacteristic
463#107×C47C2311yescharacteristic
464#106×C47C2311yescharacteristic
465#106×C47C2311yescharacteristic
466C4⋊C8×C47C2311yescharacteristic
467C4⋊C8×C47C2311yescharacteristic
468C4⋊C8×C47C2311yescharacteristic
469C4⋊C8×C47C2311yescharacteristic
470#103×C47C2311yescharacteristic
471#103×C47C2311yescharacteristic
472#102×C47C2311yescharacteristic
473#102×C47C2311yescharacteristic
474#102×C47C2311yescharacteristic
475#102×C47C2311yescharacteristic
476#102×C47C2311yescharacteristic
477#102×C47C2311yescharacteristic
478C23×D47—21no—
479C23×D47—21no—
480C23×D47—21no—
481C2×Q8×C47—21no—
482C2×Q8×C47C2411yescharacteristic
483C2×D4×C47—21no—
484C2×D4×C47—21no—
485C2×D4×C47—21no—
486C2×D4×C47—21no—
487C2×D4×C47—21no—
488C2×D4×C47C2411yescharacteristic
489C2×D4×C47C2411yescharacteristic
490C2×D4×C47C2411yescharacteristic
491C22×C4×C47—21no—
492C22×C4×C47—21no—
493C22×C4×C47—21no—
494C22×C4×C47C2411yescharacteristic
495C2×C22⋊D47—21no—
496C2×C22⋊D47—21no—
497C2×C22⋊D47—21no—
498C2×C22⋊D47—21no—
499C2×C22⋊D47—21no—
500C2×C22⋊D47—21no—
501C2×C22⋊D47—21no—
502C2×C22⋊D47—21no—
503C2×C22⋊D47—21no—
504C2×C22⋊D47—21no—
505C2×C22⋊D47—21no—
506C2×C22⋊D47—21no—
507C2×C22⋊D47—21no—
508C2×C22⋊D47C2×D411yescharacteristic
509C2×C22⋊D47C2×D411yescharacteristic
510C22×Dic47—21no—
511C22×Dic47—21no—
512C22×Dic47—21no—
513C22×Dic47C2×D411yescharacteristic
514C22×Dic47C2×D411yescharacteristic
515Q8×D47—41no—
516Q8×D47—41no—
517#10625352—82no—
518#10625352—82no—
519D4×D47—41no—
520D4×D47—41no—
521D4×D47—41no—
522D4×D47—41no—
523D4×D47—41no—
524D4×D47—41no—
525D4×D47—82no—
526D4×D47—82no—
527#10625350—41no—
528#10625350—41no—
529#10625350—82no—
530#10625350—82no—
531C2×D188—21no—
532C2×D188—21no—
533C2×D188—21no—
534C2×D188—21no—
535C2×D188—21no—
536C2×D188C2×D411yescharacteristic
537C2×D188C2411yescharacteristic
538C2×D188C2411yescharacteristic
539C2×D188C2411yescharacteristic
540C2×C4×D47—21no—
541C2×C4×D47—21no—
542C2×C4×D47—21no—
543C2×C4×D47—21no—
544C2×C4×D47—21no—
545C2×C4×D47—21no—
546C2×C4×D47—21no—
547C2×C4×D47C2×D411yescharacteristic
548C2×C4×D47C2×D411yescharacteristic
549C2×C4×D47C2×D411yescharacteristic
550C2×C4×D47C2×D411yescharacteristic
551C2×C4×D47C2411yescharacteristic
552C2×C4×D47C2411yescharacteristic
553C2×Dic94—21no—
554C2×Dic94—21no—
555C2×Dic94—21no—
556C2×Dic94—21no—
557C2×Dic94C2×D411yescharacteristic
558C2×Dic94C2411yescharacteristic
559SD16×C47—41no—
560SD16×C47—41no—
561D8×C47—41no—
562D8×C47—41no—
563M16×C47—41no—
564C2×C8×C47—41no—
565C2×C8×C47C2411yescharacteristic
566C2×C8×C47C2411yescharacteristic
567C2×C8×C47C2411yescharacteristic
568C2×C8×C47C2411yescharacteristic
569C4⋊C4×C47—21no—
570C4⋊C4×C47—21no—
571C4⋊C4×C47—21no—
572C4⋊C4×C47—21no—
573C4⋊C4×C47—21no—
574C4⋊C4×C47C2×D411yescharacteristic
575C4⋊C4×C47C2×D411yescharacteristic
576C4⋊C4×C47C2411yescharacteristic
577C4⋊C4×C47C2411yescharacteristic
578C4⋊C4×C47C2411yescharacteristic
579C4⋊C4×C47C2411yescharacteristic
580C22⋊C4×C47—21no—
581C22⋊C4×C47—21no—
582C22⋊C4×C47—21no—
583C22⋊C4×C47—21no—
584C22⋊C4×C47—21no—
585C22⋊C4×C47—21no—
586C22⋊C4×C47—21no—
587C22⋊C4×C47—21no—
588C22⋊C4×C47—21no—
589C22⋊C4×C47C2×D411yescharacteristic
590C22⋊C4×C47C2×D411yescharacteristic
591C42×C47—21no—
592C42×C47C2411yescharacteristic
593C42×C47C2411yescharacteristic
594C22⋊Dic47—21no—
595C22⋊Dic47—21no—
596C22⋊Dic47—21no—
597C22⋊Dic47—21no—
598C22⋊Dic47—21no—
599C22⋊Dic47—21no—
600C22⋊Dic47—21no—
601C22⋊Dic47—21no—
602C22⋊Dic47—21no—
603#10625336—41no—
604#10625336—41no—
605#10625335—41no—
606#10625335—41no—
607#10625334—41no—
608#10625334—41no—
609#10625334—41no—
610#10625334—41no—
611(C2×D47)⋊C4—21no—
612(C2×D47)⋊C4—21no—
613(C2×D47)⋊C4—21no—
614(C2×D47)⋊C4—21no—
615(C2×D47)⋊C4—21no—
616(C2×D47)⋊C4—21no—
617(C2×D47)⋊C4—21no—
618(C2×D47)⋊C4—21no—
619(C2×D47)⋊C4—21no—
620(C2×D47)⋊C4—21no—
621(C2×D47)⋊C4—21no—
622(C2×D47)⋊C4—21no—
623(C2×D47)⋊C4—21no—
624(C2×D47)⋊C4—21no—
625(C2×D47)⋊C4—21no—
626(C2×D47)⋊C4—21no—
627(C2×D47)⋊C4—21no—
628(C2×D47)⋊C4—21no—
629(C2×D47)⋊C4—21no—
630(C2×D47)⋊C4—21no—
631(C2×D47)⋊C4—21no—
632(C2×D47)⋊C4—21no—
633(C2×D47)⋊C4C2×D411yescharacteristic
634(C2×D47)⋊C4C2×D411yescharacteristic
635(C2×D47)⋊C4C2×D411yescharacteristic
636(C2×D47)⋊C4C2×D411yescharacteristic
637C4⋊Dic47—21no—
638C4⋊Dic47—21no—
639C4⋊Dic47—21no—
640C4⋊Dic47—21no—
641C4⋊Dic47—21no—
642C4⋊Dic47C2411yescharacteristic
643C4⋊Dic47C2411yescharacteristic
644C4⋊Dic47C2411yescharacteristic
645C4⋊Dic47C2411yescharacteristic
646Dic47⋊C4—21no—
647Dic47⋊C4—21no—
648Dic47⋊C4—21no—
649Dic47⋊C4—21no—
650Dic47⋊C4—21no—
651Dic47⋊C4—21no—
652Dic47⋊C4—21no—
653Dic47⋊C4—21no—
654Dic47⋊C4—21no—
655Dic47⋊C4—21no—
656Dic47⋊C4C2×D411yescharacteristic
657Dic47⋊C4C2×D411yescharacteristic
658Dic47⋊C4C2×D411yescharacteristic
659Dic47⋊C4C2×D411yescharacteristic
660C4×Dic47—21no—
661C4×Dic47—21no—
662C4×Dic47—21no—
663C4×Dic47—21no—
664C4×Dic47—21no—
665C4×Dic47—21no—
666C4×Dic47—21no—
667C4×Dic47C2×D411yescharacteristic
668C4×Dic47C2×D411yescharacteristic
669C4×Dic47C2×D411yescharacteristic
670C4×Dic47C2×D411yescharacteristic
671C4×Dic47C2×D411yescharacteristic
672C4×Dic47C2×D411yescharacteristic
673C4×Dic47C2411yescharacteristic
674C4×Dic47C2411yescharacteristic
675#10625329—41no—
676C2×C47⋊C8—41no—
677C2×C47⋊C8C2411yescharacteristic
678C2×C47⋊C8C2411yescharacteristic
679C2×C47⋊C8C2411yescharacteristic
680C2×C47⋊C8C2411yescharacteristic
681D376—41no—
682D376—41no—
683#10625325—41no—
684#10625325—41no—
685C23×C47—21no—
686C23×C47—21no—
687C23×C47—21no—
688C23×C47C22×D411yescharacteristic
689C22×D47—21no—
690C22×D47—21no—
691C22×D47—21no—
692C22×D47—42no—
693C22×D47—42no—
694C22×D47—42no—
695C22×D47—81no—
696C22×D47—81no—
697C22×D47—81no—
698C22×D47—81no—
699C22×D47—81no—
700C22×D47—81no—
701C22×D47C22×D411yescharacteristic
702C22×D47C22×D411yescharacteristic
703Q8×C47—21no—
704Q8×C47—21no—
705Q8×C47—81no—
706D4×C47—21no—
707D4×C47—21no—
708D4×C47—21no—
709D4×C47—21no—
710D4×C47—21no—
711D4×C47—21no—
712D4×C47—81no—
713D4×C47—81no—
714D4×C47—81no—
715D4×C47—81no—
716D4×C47—81no—
717C2×C4×C47—21no—
718C2×C4×C47—21no—
719C2×C4×C47—21no—
720C2×C4×C47—21no—
721C2×C4×C47—21no—
722C2×C4×C47—21no—
723C2×C4×C47—21no—
724C2×C4×C47—81no—
725C2×C4×C47—81no—
726C2×C4×C47—81no—
727C2×C4×C47C22×D411yescharacteristic
728C2×C4×C47C22×D411yescharacteristic
729C2×C4×C47C22×D411yescharacteristic
730C2×C4×C47C22×D411yescharacteristic
731C2×C4×C47C22×D411yescharacteristic
732C2×C4×C47C2511yescharacteristic
733C22⋊D47—41no—
734C22⋊D47—41no—
735C22⋊D47—42no—
736C22⋊D47—42no—
737C22⋊D47—42no—
738C22⋊D47—42no—
739C22⋊D47—42no—
740C22⋊D47—42no—
741C22⋊D47—42no—
742C22⋊D47—81no—
743C22⋊D47—81no—
744C22⋊D47—81no—
745C22⋊D47—81no—
746C22⋊D47—81no—
747C22⋊D47—81no—
748C2×Dic47—21no—
749C2×Dic47—21no—
750C2×Dic47—21no—
751C2×Dic47—21no—
752C2×Dic47—21no—
753C2×Dic47—41no—
754C2×Dic47—41no—
755C2×Dic47—81no—
756C2×Dic47—81no—
757C2×Dic47—81no—
758C2×Dic47C22×D411yescharacteristic
759C2×Dic47C22×D411yescharacteristic
760C2×Dic47C22×D411yescharacteristic
761C2×Dic47C22×D411yescharacteristic
762C2×Dic47C22×D411yescharacteristic
763C2×Dic47C22×D411yescharacteristic
764D188—21no—
765D188—21no—
766D188—21no—
767D188—21no—
768D188—21no—
769D188—21no—
770D188—41no—
771D188—81no—
772D188—81no—
773D188—81no—
774D188—81no—
775D188—81no—
776C4×D47—21no—
777C4×D47—21no—
778C4×D47—21no—
779C4×D47—21no—
780C4×D47—41no—
781C4×D47—41no—
782C4×D47—41no—
783C4×D47—41no—
784C4×D47—42no—
785C4×D47—81no—
786C4×D47—81no—
787C4×D47—81no—
788C4×D47—81no—
789C4×D47—81no—
790C4×D47—81no—
791Dic94—21no—
792Dic94—21no—
793Dic94—41no—
794Dic94—42no—
795Dic94—42no—
796Dic94—42no—
797Dic94—81no—
798C8×C47—21no—
799C8×C47—21no—
800C8×C47—21no—
801C8×C47—21no—
802C47⋊C8—21no—
803C47⋊C8—21no—
804C47⋊C8—21no—
805C47⋊C8—21no—
806#61017—471nomaximal, Sylow
807C22×C47—21no—
808C22×C47—21no—
809C22×C47—21no—
810C22×C47—41no—
811C22×C47—41no—
812C22×C47—41no—
813C22×C47—41no—
814C22×C47—41no—
815C22×C47—41no—
816C22×C47—41no—
817C22×C47—41no—
818C22×C47—41no—
819C22×C47C23×D411yescharacteristic
820C2×D47—21no—
821C2×D47—21no—
822C2×D47—21no—
823C2×D47—21no—
824C2×D47—21no—
825C2×D47—21no—
826C2×D47—41no—
827C2×D47—41no—
828C2×D47—41no—
829C2×D47—41no—
830C2×D47—41no—
831C2×D47—41no—
832C2×D47—41no—
833C2×D47—41no—
834C2×D47—41no—
835C2×D47—162no—
836C2×D47—162no—
837C2×D47—162no—
838C4×C47—21no—
839C4×C47—21no—
840C4×C47—21no—
841C4×C47—21no—
842C4×C47—21no—
843C4×C47—41no—
844C4×C47—41no—
845C4×C47—41no—
846C4×C47—41no—
847C4×C47—41no—
848C4×C47#58511yescharacteristic
849C4×C47#58511yescharacteristic
850Dic47—21no—
851Dic47—21no—
852Dic47—21no—
853Dic47—21no—
854Dic47—21no—
855Dic47—21no—
856Dic47—41no—
857Dic47—41no—
858Dic47—41no—
859Dic47—41no—
860Dic47—41no—
861#3510—471no—
862#3508—471no—
863#3257—471no—
864#3257—471no—
865#3257—471no—
866#3257D4711yescharacteristic, complemented
867#3240—471no—
868#3240—471no—
869#3235—471no—
870#3235—471no—
871#3217—471no—
872#3217—471no—
873#3213—471no—
874#3213—471no—
875#3200—471no—
876#3200—471no—
877#3199—471no—
878#3199—471no—
879#3180—471no—
880#3180—471no—
881#3171—471no—
882#3171—471no—
883#3126—471no—
884#3126—471no—
885#3122—471no—
886#3122—471no—
887#3118—471no—
888#3118—471no—
889#3118—471no—
890#3118—471no—
891#2923—471no—
892C2×C47—41no—
893C2×C47—81no—
894C2×C47—81no—
895C2×C47—81no—
896C2×C47#344911yescharacteristic
897C2×C47#358511yescharacteristic
898C2×C47#358511yescharacteristic
899D47—41no—
900D47—41no—
901D47—81no—
902D47—81no—
903D47—81no—
904#559—941no—
905#559—941no—
906#559—941no—
907#559—941no—
908#556—941no—
909#556—941no—
910#551—941no—
911#551—941no—
912#551—941no—
913#551—941no—
914#550—941no—
915#550—941no—
916#546—941no—
917#546—941no—
918#546—941no—
919#546—941no—
920#542—471no—
921#542—471no—
922#542—471no—
923#542C2×D4711yescharacteristic, complemented
924#540—471no—
925#540—471no—
926#540—471no—
927#540C2×D4711yescharacteristic, complemented
928#536—471no—
929#535—471no—
930#535—471no—
931#535—471no—
932#533—471no—
933#533—471no—
934#532—471no—
935#532—471no—
936#532—471no—
937#532—471no—
938C2×#127—471no—
939#529—471no—
940#529—471no—
941#529—471no—
942#529—471no—
943C2×#124—471no—
944#519—471no—
945#518—471no—
946#518—471no—
947#518—471no—
948C4×#41—471no—
949#501—471no—
950#501—471no—
951#501—471no—
952#501—471no—
953#496—471no—
954#496—471no—
955#496—471no—
956#496—471no—
957#490—471no—
958#490—471no—
959#490—471no—
960#490—471no—
961#489—471no—
962#489—471no—
963#489—471no—
964#489—471no—
965#485—471no—
966#485—471no—
967#485—471no—
968#485—471no—
969#482—471no—
970#482—471no—
971#482—471no—
972#482—471no—
973#482—471no—
974#482—471no—
975#482—471no—
976#482—471no—
977#482—471no—
978#482—471no—
979#482—471no—
980#482—471no—
981#479—471no—
982#479—471no—
983#479—471no—
984#479C2×D4711yescharacteristic, complemented
985#478—471no—
986#478—471no—
987#478—471no—
988#478C2×D4711yescharacteristic, complemented
989#476—471no—
990#476—471no—
991#476—471no—
992#476C2×D4711yescharacteristic, complemented
993#474—471no—
994#474—471no—
995#474—471no—
996#474C2×D4711yescharacteristic, complemented
997#469—471no—
998#469—471no—
999#469—471no—
1000#469C2×D4711yescharacteristic, complemented
1001#468—471no—
1002#468—471no—
1003#468—471no—
1004#468C2×D4711yescharacteristic, complemented
1005#466—471no—
1006#466—471no—
1007#466—471no—
1008#466C2×D4711yescharacteristic, complemented
1009#465—471no—
1010#465—471no—
1011#465—471no—
1012#465C2×D4711yescharacteristic, complemented
1013#463—471no—
1014#463—471no—
1015#463—471no—
1016#463—471no—
1017#463—471no—
1018#463—471no—
1019#463C2×D4711yescharacteristic, complemented
1020#463C2×D4711yescharacteristic, complemented
1021#460—471no—
1022#460—471no—
1023#460—471no—
1024#460C2×D4711yescharacteristic, complemented
1025#459—471no—
1026#459—471no—
1027#459—471no—
1028#459C2×D4711yescharacteristic
1029#450—471no—
1030#450—471no—
1031#450—471no—
1032#450—471no—
1033#448—471no—
1034#448—471no—
1035#448—471no—
1036#448—471no—
1037#447—471no—
1038#447—471no—
1039#447—471no—
1040#447—471no—
1041#447—471no—
1042#447—471no—
1043#447—471no—
1044#447—471no—
1045#442—471no—
1046#442—471no—
1047#442—471no—
1048#442—471no—
1049#440—471no—
1050#440—471no—
1051#440—471no—
1052#440—471no—
1053C4×SD16—471no—
1054C4×SD16—471no—
1055C4×SD16—471no—
1056C4×SD16—471no—
1057C4×D8—471no—
1058C4×D8—471no—
1059C4×D8—471no—
1060C4×D8—471no—
1061#433—471no—
1062#433—471no—
1063#433—471no—
1064#433—471no—
1065#432—471no—
1066#432—471no—
1067#432—471no—
1068#432—471no—
1069#424—471no—
1070#424C2×D4711yescharacteristic, complemented
1071#408—471no—
1072#408—471no—
1073C4×M16—471no—
1074C2×#97—471no—
1075C47#6101711yescharacteristic, complemented, Sylow
1076C2×#41—471no—
1077C2×#41—941no—
1078C2×#41—941no—
1079C2×#41—941no—
1080C2×#41—941no—
1081C22×Q8—471no—
1082C22×D4—471no—
1083C22×D4—471no—
1084C22×D4—471no—
1085C22×D4—941no—
1086C22×D4—941no—
1087C2×SD16—471no—
1088C2×SD16—471no—
1089C2×SD16—471no—
1090C2×SD16—471no—
1091C2×SD16—471no—
1092C2×SD16—471no—
1093C2×SD16C22×D4711yescharacteristic
1094C2×SD16C22×D4711yescharacteristic
1095C2×D8—471no—
1096C2×D8—471no—
1097C2×D8—471no—
1098C2×D8—471no—
1099C2×D8—471no—
1100C2×D8—471no—
1101C2×D8C22×D4711yescharacteristic
1102C2×D8C22×D4711yescharacteristic
1103C2×M16—471no—
1104C2×M16C22×D4711yescharacteristic
1105C22×C8—471no—
1106C22×C8C22×D4711yescharacteristic
1107C4⋊Q8—471no—
1108C4⋊Q8—471no—
1109C4⋊Q8—471no—
1110C4⋊Q8—941no—
1111C4⋊Q8C22×D4711yescharacteristic
1112#127—471no—
1113#127—471no—
1114#127—471no—
1115#127—941no—
1116#127—941no—
1117#127—941no—
1118#127—941no—
1119#127—941no—
1120#127C22×D4711yescharacteristic
1121#126—21no—
1122#126—941no—
1123#126—941no—
1124#126—941no—
1125#126—941no—
1126#126—941no—
1127#126—941no—
1128#126—941no—
1129#125—471no—
1130#125—471no—
1131#125—471no—
1132#125C22×D4711yescharacteristic
1133#124—21no—
1134#124—471no—
1135#124—471no—
1136#124—471no—
1137#124—941no—
1138#124—941no—
1139#124—941no—
1140#124—941no—
1141#124—941no—
1142#124—941no—
1143#124—941no—
1144#124—941no—
1145#124—941no—
1146#124—941no—
1147#124—941no—
1148#124—941no—
1149#124—941no—
1150#124C22×D4711yescharacteristic
1151#123—21no—
1152#123—21no—
1153#123—21no—
1154#123—941no—
1155#123—941no—
1156#123—941no—
1157#123—941no—
1158#123—941no—
1159#123—941no—
1160#123—941no—
1161#123—941no—
1162#123—941no—
1163#123—941no—
1164#123—941no—
1165#123—941no—
1166#123—941no—
1167#123—941no—
1168#123—941no—
1169C22⋊Q8—21no—
1170C22⋊Q8—471no—
1171C22⋊Q8—471no—
1172C22⋊Q8—471no—
1173C22⋊Q8—941no—
1174C22⋊Q8—941no—
1175C22⋊Q8—941no—
1176C22⋊Q8—941no—
1177C22⋊Q8—941no—
1178C22⋊Q8—941no—
1179C22⋊Q8—941no—
1180C22⋊Q8C22×D4711yescharacteristic
1181#121—21no—
1182#121—21no—
1183#121—471no—
1184#121—471no—
1185#121—471no—
1186#121—471no—
1187#121—471no—
1188#121—471no—
1189#121—471no—
1190#121—471no—
1191#121—471no—
1192#121—941no—
1193#121—941no—
1194#121—941no—
1195#121—941no—
1196#121—941no—
1197#121—941no—
1198#121—941no—
1199#121—941no—
1200#121—941no—
1201#121—941no—
1202#121C22×D4711yescharacteristic
1203#121C22×D4711yescharacteristic
1204#121C22×D4711yescharacteristic
1205#120—941no—
1206#120—941no—
1207#120—941no—
1208#120—941no—
1209#120—941no—
1210#120—941no—
1211C4×Q8—471no—
1212C4×Q8—471no—
1213C4×Q8—471no—
1214C4×Q8—471no—
1215C4×Q8—471no—
1216C4×Q8—941no—
1217C4×Q8—941no—
1218C4×Q8—941no—
1219C4×Q8—941no—
1220C4×Q8—941no—
1221C4×Q8—941no—
1222C4×Q8C22×D4711yescharacteristic
1223C4×D4—471no—
1224C4×D4—471no—
1225C4×D4—471no—
1226C4×D4—471no—
1227C4×D4—471no—
1228C4×D4—471no—
1229C4×D4—471no—
1230C4×D4—471no—
1231C4×D4—471no—
1232C4×D4—471no—
1233C4×D4—471no—
1234C4×D4—471no—
1235C4×D4—471no—
1236C4×D4—471no—
1237C4×D4—471no—
1238C4×D4—941no—
1239C4×D4—941no—
1240C4×D4—941no—
1241C4×D4—941no—
1242C4×D4—941no—
1243C4×D4—941no—
1244C4×D4—941no—
1245C4×D4—941no—
1246C4×D4—941no—
1247C4×D4—941no—
1248C4×D4—941no—
1249C4×D4—941no—
1250C4×D4—941no—
1251C4×D4—941no—
1252C4×D4C22×D4711yescharacteristic
1253C4×D4C22×D4711yescharacteristic
1254C4×D4C22×D4711yescharacteristic
1255#117—471no—
1256#117—471no—
1257#117—471no—
1258#117—471no—
1259#117—471no—
1260#117—471no—
1261#117—941no—
1262#117—941no—
1263#117—941no—
1264#117—941no—
1265#117—941no—
1266#117—941no—
1267#117C22×D4711yescharacteristic
1268C2×C22⋊C4—941no—
1269C2×C22⋊C4—941no—
1270C2×C22⋊C4—941no—
1271C2×C22⋊C4—941no—
1272C2×C22⋊C4—941no—
1273C2×C22⋊C4—941no—
1274C2×C22⋊C4—941no—
1275C2×C22⋊C4—941no—
1276C2×C42—471no—
1277C2×C42—471no—
1278C2×C42—471no—
1279#107—471no—
1280#107—471no—
1281#107—471no—
1282#107—471no—
1283#107—471no—
1284#107—471no—
1285#107C22×D4711yescharacteristic
1286#107C22×D4711yescharacteristic
1287#106—471no—
1288#106—471no—
1289#106—471no—
1290#106—471no—
1291#106—471no—
1292#106—471no—
1293#106C22×D4711yescharacteristic
1294#106C22×D4711yescharacteristic
1295C4⋊C8—471no—
1296C4⋊C8—471no—
1297C4⋊C8—471no—
1298C4⋊C8—471no—
1299C4⋊C8C22×D4711yescharacteristic
1300C4⋊C8C22×D4711yescharacteristic
1301C4⋊C8C22×D4711yescharacteristic
1302C4⋊C8C22×D4711yescharacteristic
1303#103—471no—
1304#103—471no—
1305#103—471no—
1306#103—471no—
1307#103—471no—
1308#103—471no—
1309#103C22×D4711yescharacteristic
1310#103C22×D4711yescharacteristic
1311#102—471no—
1312#102—471no—
1313#102—471no—
1314#102—471no—
1315#102—471no—
1316#102—471no—
1317#102—471no—
1318#102—471no—
1319#102—471no—
1320#102—471no—
1321#102—471no—
1322#102—471no—
1323#102—471no—
1324#102—471no—
1325#102—471no—
1326#102—471no—
1327#102—471no—
1328#102—471no—
1329#102C22×D4711yescharacteristic
1330#102C22×D4711yescharacteristic
1331#102C22×D4711yescharacteristic
1332#102C22×D4711yescharacteristic
1333#102C22×D4711yescharacteristic
1334#102C22×D4711yescharacteristic
1335C22⋊C8—471no—
1336C22⋊C8—471no—
1337C22⋊C8—471no—
1338C22⋊C8—471no—
1339C22⋊C8—471no—
1340C22⋊C8—471no—
1341C22⋊C8—471no—
1342C22⋊C8—471no—
1343#97—471no—
1344#97—471no—
1345#97—471no—
1346#97—471no—
1347#97—471no—
1348#97—471no—
1349C4×C8—471no—
1350C4×C8—471no—
1351C24—941no—
1352C24—941no—
1353C24—941no—
1354#41—3762no—
1355#41—3762no—
1356#41—3762no—
1357#41—3762no—
1358#41—1881no—
1359#41—1881no—
1360C2×Q8—21no—
1361C2×Q8—471no—
1362C2×Q8—471no—
1363C2×Q8—941no—
1364C2×Q8—941no—
1365C2×Q8—941no—
1366C2×Q8—941no—
1367C2×Q8—1881no—
1368C2×Q8—1881no—
1369C2×Q8C23×D4711yescharacteristic
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—21no—
1375C2×D4—471no—
1376C2×D4—471no—
1377C2×D4—471no—
1378C2×D4—471no—
1379C2×D4—471no—
1380C2×D4—471no—
1381C2×D4—941no—
1382C2×D4—941no—
1383C2×D4—941no—
1384C2×D4—941no—
1385C2×D4—941no—
1386C2×D4—941no—
1387C2×D4—941no—
1388C2×D4—941no—
1389C2×D4—941no—
1390C2×D4—941no—
1391C2×D4—941no—
1392C2×D4—941no—
1393C2×D4—941no—
1394C2×D4—941no—
1395C2×D4—941no—
1396C2×D4—941no—
1397C2×D4—941no—
1398C2×D4—941no—
1399C2×D4—3762no—
1400C2×D4—3762no—
1401C2×D4—1881no—
1402C2×D4—1881no—
1403C2×D4—1881no—
1404C2×D4—1881no—
1405C2×D4—1881no—
1406C2×D4—1881no—
1407C2×D4C23×D4711yescharacteristic
1408C2×D4C23×D4711yescharacteristic
1409C2×D4C23×D4711yescharacteristic
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—21no—
1413C22×C4—471no—
1414C22×C4—471no—
1415C22×C4—471no—
1416C22×C4—471no—
1417C22×C4—471no—
1418C22×C4—471no—
1419C22×C4—471no—
1420C22×C4—471no—
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×C4C23×D4711yescharacteristic
1432SD16—41no—
1433SD16—41no—
1434SD16—1881no—
1435SD16—1881no—
1436SD16—1881no—
1437SD16—1881no—
1438SD16—1881no—
1439SD16—1881no—
1440D8—41no—
1441D8—41no—
1442D8—1881no—
1443D8—1881no—
1444D8—1881no—
1445D8—1881no—
1446D8—1881no—
1447D8—1881no—
1448M16—41no—
1449M16—1881no—
1450C2×C8—41no—
1451C2×C8—471no—
1452C2×C8—471no—
1453C2×C8—471no—
1454C2×C8—471no—
1455C2×C8—1881no—
1456C2×C8C23×D4711yescharacteristic
1457C2×C8C23×D4711yescharacteristic
1458C2×C8C23×D4711yescharacteristic
1459C2×C8C23×D4711yescharacteristic
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—471no—
1466C4⋊C4—471no—
1467C4⋊C4—471no—
1468C4⋊C4—471no—
1469C4⋊C4—471no—
1470C4⋊C4—471no—
1471C4⋊C4—471no—
1472C4⋊C4—471no—
1473C4⋊C4—941no—
1474C4⋊C4—941no—
1475C4⋊C4—941no—
1476C4⋊C4—941no—
1477C4⋊C4—941no—
1478C4⋊C4—941no—
1479C4⋊C4—941no—
1480C4⋊C4—941no—
1481C4⋊C4—941no—
1482C4⋊C4—941no—
1483C4⋊C4—941no—
1484C4⋊C4—941no—
1485C4⋊C4—941no—
1486C4⋊C4—941no—
1487C4⋊C4—941no—
1488C4⋊C4D4×D4711yescharacteristic
1489C4⋊C4D4×D4711yescharacteristic
1490C4⋊C4C23×D4711yescharacteristic
1491C4⋊C4C23×D4711yescharacteristic
1492C4⋊C4C23×D4711yescharacteristic
1493C4⋊C4C23×D4711yescharacteristic
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—471no—
1504C22⋊C4—471no—
1505C22⋊C4—471no—
1506C22⋊C4—471no—
1507C22⋊C4—941no—
1508C22⋊C4—941no—
1509C22⋊C4—941no—
1510C22⋊C4—941no—
1511C22⋊C4—941no—
1512C22⋊C4—941no—
1513C22⋊C4—941no—
1514C22⋊C4—941no—
1515C22⋊C4—941no—
1516C22⋊C4—941no—
1517C22⋊C4—941no—
1518C22⋊C4—941no—
1519C22⋊C4—941no—
1520C22⋊C4—941no—
1521C22⋊C4—941no—
1522C22⋊C4—941no—
1523C22⋊C4—941no—
1524C22⋊C4—941no—
1525C22⋊C4—941no—
1526C22⋊C4—941no—
1527C22⋊C4—941no—
1528C22⋊C4—941no—
1529C22⋊C4—941no—
1530C22⋊C4—941no—
1531C22⋊C4—941no—
1532C22⋊C4—941no—
1533C22⋊C4—941no—
1534C22⋊C4—941no—
1535C22⋊C4—941no—
1536C22⋊C4—941no—
1537C22⋊C4—941no—
1538C22⋊C4D4×D4711yescharacteristic
1539C22⋊C4D4×D4711yescharacteristic
1540C42—21no—
1541C42—471no—
1542C42—471no—
1543C42—471no—
1544C42—471no—
1545C42—471no—
1546C42—471no—
1547C42—471no—
1548C42—471no—
1549C42—941no—
1550C42—941no—
1551C42—941no—
1552C42—941no—
1553C42—941no—
1554C42—941no—
1555C42—941no—
1556C42C23×D4711yescharacteristic
1557C42C23×D4711yescharacteristic
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—471no—
1562C23—471no—
1563C23—941no—
1564C23—941no—
1565C23—941no—
1566C23—3761no—
1567C23—3761no—
1568C23—3761no—
1569C23—3761no—
1570C23—3761no—
1571C23—3761no—
1572C23—1882no—
1573C23—1882no—
1574C23—1882no—
1575C23C2×D4×D4711yescharacteristic
1576Q8—21no—
1577Q8—21no—
1578Q8—81no—
1579Q8—941no—
1580Q8—941no—
1581Q8—3761no—
1582Q8—1881no—
1583Q8—1882no—
1584Q8—1882no—
1585Q8—1882no—
1586D4—21no—
1587D4—21no—
1588D4—21no—
1589D4—21no—
1590D4—21no—
1591D4—21no—
1592D4—81no—
1593D4—81no—
1594D4—81no—
1595D4—81no—
1596D4—81no—
1597D4—941no—
1598D4—941no—
1599D4—941no—
1600D4—941no—
1601D4—941no—
1602D4—941no—
1603D4—3761no—
1604D4—3761no—
1605D4—3761no—
1606D4—3761no—
1607D4—3761no—
1608D4—3761no—
1609D4—3761no—
1610D4—3761no—
1611D4—3761no—
1612D4—3761no—
1613D4—3761no—
1614D4—1881no—
1615D4—1881no—
1616D4—1881no—
1617D4—1882no—
1618D4—1882no—
1619D4—1882no—
1620D4—1882no—
1621D4—1882no—
1622D4—1882no—
1623D4—1882no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—81no—
1632C2×C4—81no—
1633C2×C4—81no—
1634C2×C4—471no—
1635C2×C4—471no—
1636C2×C4—471no—
1637C2×C4—471no—
1638C2×C4—471no—
1639C2×C4—471no—
1640C2×C4—941no—
1641C2×C4—941no—
1642C2×C4—941no—
1643C2×C4—941no—
1644C2×C4—941no—
1645C2×C4—941no—
1646C2×C4—941no—
1647C2×C4—941no—
1648C2×C4—941no—
1649C2×C4—3761no—
1650C2×C4—3761no—
1651C2×C4—3761no—
1652C2×C4—3761no—
1653C2×C4—3761no—
1654C2×C4—3761no—
1655C2×C4—3761no—
1656C2×C4—3761no—
1657C2×C4—3761no—
1658C2×C4—1881no—
1659C2×C4—1881no—
1660C2×C4—1881no—
1661C2×C4—1881no—
1662C2×C4—1882no—
1663C2×C4—1881no—
1664C2×C4—1881no—
1665C2×C4C2×D4×D4711yescharacteristic
1666C2×C4C2×D4×D4711yescharacteristic
1667C2×C4C2×D4×D4711yescharacteristic
1668C2×C4C2×D4×D4711yescharacteristic
1669C2×C4C2×D4×D4711yescharacteristic
1670C2×C4C24×D4711yescharacteristic
1671C8—21no—
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—941no—
1676C8—941no—
1677C8—941no—
1678C8—941no—
1679C22—21no—
1680C22—21no—
1681C22—21no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—941no—
1692C22—941no—
1693C22—941no—
1694C22—941no—
1695C22—941no—
1696C22—941no—
1697C22—1881no—
1698C22—1881no—
1699C22—1881no—
1700C22—1881no—
1701C22—1881no—
1702C22—1881no—
1703C22—1881no—
1704C22—1881no—
1705C22—1881no—
1706C22—7522no—
1707C22—7522no—
1708C22—7522no—
1709C22C22×D4×D4711yescharacteristic
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—21no—
1714C4—21no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—41no—
1720C4—941no—
1721C4—941no—
1722C4—941no—
1723C4—941no—
1724C4—941no—
1725C4—941no—
1726C4—1881no—
1727C4—1881no—
1728C4—1881no—
1729C4—1881no—
1730C4—1881no—
1731C4#1568995811yescharacteristic
1732C4#1568996011yescharacteristic
1733C2—41no—
1734C2—81no—
1735C2—81no—
1736C2—81no—
1737C2—3761no—
1738C2—3761no—
1739C2—3761no—
1740C2—1881no—
1741C2—1881no—
1742C2#2025671611yescharacteristic
1743C2#2025816311yescharacteristic
1744C2#2025816611yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3257C2
socleC22×C47C23×D4
hypercenter#3257D47
hypocenterC47#61017
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ #117 ◁ #3257

Complements

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

NH ≅ G/Ntype
1. #20257280C2semidirect
2. #20257260C2semidirect
3. #20254801C2semidirect
4. #20254799C2semidirect
5. #20254793C2semidirect
6. #20254633C2semidirect
7. #20254627C2semidirect
8. #20254585C2semidirect
9. #20254584C2semidirect
10. #20254410C2semidirect
11. #20254405C2semidirect
12. #20254373C2semidirect
13. #20254373C2semidirect
14. #20254256C2semidirect
15. #20254254C2semidirect
16. #20254250C2semidirect
17. #20254248C2semidirect
18. #20254081C2semidirect
19. #20254079C2semidirect
20. #20253978C2semidirect
21. #20253976C2semidirect
22. #20253681C2semidirect
23. #20253677C2semidirect
24. #20253633C2semidirect
25. #20253629C2semidirect
26. #20253579C2semidirect
27. #20253577C2semidirect
28. #20253571C2semidirect
29. #20253569C2semidirect
30. #20252038C2semidirect
31. C47×#3257C2semidirect
49. #15689744C22semidirect
52. #15689728C22semidirect
58. #15689679C22semidirect
59. #15689678C22semidirect
62. #15689668C22semidirect
63. #15689668C22semidirect
64. #127×D47C22semidirect
66. #15689659C22semidirect
68. #15689654C22semidirect
69. #124×D47C22semidirect
70. #15689599C22semidirect
71. #15689595C22semidirect
72. #15689595C22semidirect
73. #15689595C22semidirect
75. #15689531C22semidirect
76. #15689531C22semidirect
77. #15689530C22semidirect
78. #15689530C22semidirect
83. #15689486C22semidirect
84. #15689486C22semidirect
85. #15689486C22semidirect
86. #15689486C22semidirect
87. #15689484C22semidirect
88. #15689484C22semidirect
89. #15689481C22semidirect
90. #15689481C22semidirect
91. #15689467C22semidirect
92. #15689466C22semidirect
93. #15689463C22semidirect
94. #15689462C22semidirect
96. #15689450C22semidirect
97. #15689450C22semidirect
99. #15689449C22semidirect
100. #15689449C22semidirect
102. #15689446C22semidirect
103. #15689446C22semidirect
105. #15689445C22semidirect
106. #15689445C22semidirect
107. #15689431C22semidirect
108. #15689430C22semidirect
109. #15689427C22semidirect
110. #15689424C22semidirect
111. #15689423C22semidirect
112. #15689420C22semidirect
113. #15689414C22semidirect
114. #15689413C22semidirect
115. #15689410C22semidirect
116. #15689404C22semidirect
117. #15689403C22semidirect
118. #15689400C22semidirect
119. #15689376C22semidirect
120. #15689374C22semidirect
121. #15689374C22semidirect
122. #15689371C22semidirect
123. #15689369C22semidirect
124. #15689367C22semidirect
125. #15689359C22semidirect
126. #15689357C22semidirect
127. #15689357C22semidirect
128. #15689354C22semidirect
129. #15689352C22semidirect
130. #15689350C22semidirect
131. #15689339C22semidirect
132. #15689339C22semidirect
133. #15689338C22semidirect
134. #15689338C22semidirect
135. #15689335C22semidirect
136. #15689335C22semidirect
137. #15689324C22semidirect
138. #15689323C22semidirect
139. #15689320C22semidirect
143. #15689275C22semidirect
144. #15689275C22semidirect
145. #15689272C22semidirect
146. #15689272C22semidirect
147. #15689263C22semidirect
148. #15689263C22semidirect
149. #15689260C22semidirect
150. #15689260C22semidirect
153. #15689258C22semidirect
154. #15689258C22semidirect
157. #15689255C22semidirect
158. #15689255C22semidirect
159. #15689235C22semidirect
160. #15689234C22semidirect
161. #15689232C22semidirect
162. #15689232C22semidirect
163. #15689226C22semidirect
164. #15689224C22semidirect
165. #15689222C22semidirect
166. #15689220C22semidirect
167. #15689214C22semidirect
168. SD16×Dic47C22semidirect
169. #15689210C22semidirect
170. #15689208C22semidirect
171. D8×Dic47C22semidirect
172. #15689205C22semidirect
173. #15689203C22semidirect
174. #15689203C22semidirect
175. #15689183C22semidirect
176. #15689183C22semidirect
177. #15689183C22semidirect
178. #15689183C22semidirect
179. #15689179C22semidirect
180. #15689179C22semidirect
181. #15689179C22semidirect
182. #15689179C22semidirect
183. #15689150C22semidirect
186. M16×Dic47C22semidirect
187. C2×#13093934C22semidirect
188. C47×#542C22semidirect
189. C47×#540C22semidirect
190. C47×#479C22semidirect
191. C47×#478C22semidirect
192. C47×#476C22semidirect
193. C47×#474C22semidirect
194. C47×#469C22semidirect
195. C47×#468C22semidirect
196. C47×#466C22semidirect
197. C47×#465C22semidirect
198. C47×#463C22semidirect
199. C47×#463C22semidirect
200. C47×#460C22semidirect
202. C47×#424C22semidirect
866. #3257D47semidirect
923. #542C2×D47semidirect
927. #540C2×D47semidirect
984. #479C2×D47semidirect
988. #478C2×D47semidirect
992. #476C2×D47semidirect
996. #474C2×D47semidirect
1000. #469C2×D47semidirect
1004. #468C2×D47semidirect
1008. #466C2×D47semidirect
1012. #465C2×D47semidirect
1019. #463C2×D47semidirect
1020. #463C2×D47semidirect
1024. #460C2×D47semidirect
1070. #424C2×D47semidirect
1075. C47#61017semidirect

Maximal subgroups

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

subgroupindex
#202572802
#202572602
#202548012
#202547992
#202547932
#202546332
#202546272
#202545852
#202545842
#202544102
#202544052
#202543732
#202542562
#202542542
#202542502
#202542482
#202540812
#202540792
#202539782
#202539762
#202536812
#202536772
#202536332
#202536292
#202535792
#202535772
#202535712
#202535692
#202520382
C47×#32572
#6101747