Finite Group Databasebeta

← #27110042

Subgroups — #27110042

Order 12032.

1850 conjugacy classes of subgroups.

The subgroup lattice has 1788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257762C211yesmaximal, characteristic, complemented
2#20256448C211yesmaximal, characteristic, complemented
3#20256426C211yesmaximal, characteristic, complemented
4#20256230C211yesmaximal, characteristic, complemented
5#20256117C211yesmaximal, characteristic, complemented
6#20255538C211yesmaximal, characteristic, complemented
7#20255523C211yesmaximal, characteristic, complemented
8#20255508C211yesmaximal, characteristic, complemented
9#20255358C211yesmaximal, characteristic, complemented
10#20255332C211yesmaximal, characteristic, complemented
11#20255217C211yesmaximal, characteristic, complemented
12#20255144C211yesmaximal, characteristic, complemented
13#20255096C211yesmaximal, characteristic, complemented
14#20254974C211yesmaximal, characteristic, complemented
15#20254944C211yesmaximal, characteristic, complemented
16#20254929C211yesmaximal, characteristic, complemented
17#20254884C211yesmaximal, characteristic, complemented
18#20254844C211yesmaximal, characteristic, complemented
19#20254793C211yesmaximal, characteristic, complemented
20#20254714C211yesmaximal, characteristic, complemented
21#20254476C211yesmaximal, characteristic, complemented
22#20254432C211yesmaximal, characteristic, complemented
23#20254421C211yesmaximal, characteristic, complemented
24#20253665C211yesmaximal, characteristic, complemented
25#20253617C211yesmaximal, characteristic, complemented
26#20253539C211yesmaximal, characteristic, complemented
27#20252927C211yesmaximal, characteristic, complemented
28#20252909C211yesmaximal, characteristic, complemented
29#20252843C211yesmaximal, characteristic, complemented
30#20252527C211yesmaximal, characteristic, complemented
31C47×#3524C211yesmaximal, characteristic, complemented
32C2×#13094055C2211yescharacteristic, complemented
33C2×#13094049C2211yescharacteristic
34C2×#13094044C2211yescharacteristic, complemented
35C2×#13094044C2211yescharacteristic, complemented
36C2×#13094044C2211yescharacteristic, complemented
37C22×#10625336C2211yescharacteristic
38#15689863—21no—
39#15689863—21no—
40#15689846C2211yescharacteristic
41#15689826—21no—
42#15689795C2211yescharacteristic
43#15689794C2211yescharacteristic
44#15689794C2211yescharacteristic
45#15689778C2211yescharacteristic
46#15689769C2211yescharacteristic
47#15689769C2211yescharacteristic
48#15689766—21no—
49D4×D188C2211yescharacteristic
50#15689744C2211yescharacteristic
51#15689744C2211yescharacteristic
52#15689712—21no—
53#15689712—21no—
54#15689703—21no—
55#15689692C2211yescharacteristic
56#15689692C2211yescharacteristic
57#15689689—21no—
58#15689673C2211yescharacteristic
59#15689673C2211yescharacteristic
60#15689518C2211yescharacteristic, complemented
61#15689513C2211yescharacteristic
62#15689513C2211yescharacteristic, complemented
63#15689510C2211yescharacteristic
64#15689505C2211yescharacteristic
65#15689499C2211yescharacteristic, complemented
66#15689493C2211yescharacteristic, complemented
67#15689489C2211yescharacteristic
68#15689489C2211yescharacteristic, complemented
69#15689485C2211yescharacteristic
70#15689480C2211yescharacteristic
71#15689471C2211yescharacteristic, complemented
72#15689464C2211yescharacteristic, complemented
73#15689453C2211yescharacteristic, complemented
74#15689447C2211yescharacteristic
75#15689447C2211yescharacteristic
76#15689447C2211yescharacteristic, complemented
77#15689441C2211yescharacteristic
78#15689427C2211yescharacteristic, complemented
79#15689420C2211yescharacteristic
80#15689420C2211yescharacteristic, complemented
81#15689420C2211yescharacteristic, complemented
82#15689418C2211yescharacteristic, complemented
83#15689415C2211yescharacteristic, complemented
84#15689413C2211yescharacteristic, complemented
85#15689408C2211yescharacteristic, complemented
86#15689403C2211yescharacteristic, complemented
87#15689400C2211yescharacteristic, complemented
88#15689374C2211yescharacteristic
89#15689371C2211yescharacteristic
90#15689367C2211yescharacteristic, complemented
91#15689367C2211yescharacteristic, complemented
92#15689362C2211yescharacteristic, complemented
93#15689357C2211yescharacteristic
94#15689357C2211yescharacteristic
95#15689357C2211yescharacteristic
96#15689357C2211yescharacteristic, complemented
97#15689354C2211yescharacteristic
98#15689354C2211yescharacteristic, complemented
99#15689350C2211yescharacteristic, complemented
100#15689345C2211yescharacteristic
101#15689345C2211yescharacteristic
102#15689345C2211yescharacteristic
103#15689345C2211yescharacteristic, complemented
104#15689345C2211yescharacteristic, complemented
105#15689345C2211yescharacteristic, complemented
106#15689345C2211yescharacteristic, complemented
107#15689342C2211yescharacteristic, complemented
108#15689338C2211yescharacteristic
109#15689338C2211yescharacteristic, complemented
110#15689338C2211yescharacteristic, complemented
111#15689338C2211yescharacteristic, complemented
112#15689338C2211yescharacteristic, complemented
113#15689335C2211yescharacteristic
114#15689335C2211yescharacteristic, complemented
115#15689335C2211yescharacteristic, complemented
116#15689333C2211yescharacteristic, complemented
117#15689328C2211yescharacteristic, complemented
118#15689323C2211yescharacteristic
119#15689323C2211yescharacteristic
120#15689323C2211yescharacteristic
121#15689323C2211yescharacteristic, complemented
122#15689323C2211yescharacteristic, complemented
123#15689323C2211yescharacteristic, complemented
124#15689320C2211yescharacteristic, complemented
125#15689318C2211yescharacteristic
126#15689318C2211yescharacteristic
127#15689318C2211yescharacteristic
128#15689318C2211yescharacteristic, complemented
129#15689315C2211yescharacteristic, complemented
130#15689285C2211yescharacteristic, complemented
131#15689283C2211yescharacteristic, complemented
132#15689283C2211yescharacteristic, complemented
133#15689283C2211yescharacteristic, complemented
134#15689279C2211yescharacteristic, complemented
135#15689273C2211yescharacteristic
136#15689268C2211yescharacteristic
137#15689268C2211yescharacteristic
138#15689268C2211yescharacteristic, complemented
139#15689266C2211yescharacteristic, complemented
140#15689266C2211yescharacteristic, complemented
141#15689266C2211yescharacteristic, complemented
142#15689266C2211yescharacteristic, complemented
143#15689266C2211yescharacteristic, complemented
144#15689262C2211yescharacteristic
145#15689256C2211yescharacteristic
146#15689256C2211yescharacteristic
147#15689256C2211yescharacteristic
148#15689254C2211yescharacteristic, complemented
149#15689254C2211yescharacteristic, complemented
150#15689233C2211yescharacteristic
151#15689233C2211yescharacteristic, complemented
152#15689233C2211yescharacteristic, complemented
153#15689228C2211yescharacteristic, complemented
154#15689228C2211yescharacteristic, complemented
155#15689221C2211yescharacteristic
156#15689221C2211yescharacteristic, complemented
157#15689221C2211yescharacteristic, complemented
158C4×#10625337C2211yescharacteristic, complemented
159C4×#10625336C2211yescharacteristic, complemented
160C4×#10625336C2211yescharacteristic, complemented
161C4×#10625335C2211yescharacteristic, complemented
162#15689195C2211yescharacteristic
163#15689195C2211yescharacteristic
164#15689195C2211yescharacteristic, complemented
165#15689195C2211yescharacteristic, complemented
166D4×C47⋊C8C2211yescharacteristic, complemented
167D4×C47⋊C8C2211yescharacteristic, complemented
168#15689184C2211yescharacteristic, complemented
169#15689184C2211yescharacteristic, complemented
170#15689180C2211yescharacteristic, complemented
171#15689150C2211yescharacteristic, complemented
172#15689150C2211yescharacteristic, complemented
173C2×C4⋊(C47⋊C8)C2211yescharacteristic, complemented
174#15689127C2211yescharacteristic
175#15689122C2211yescharacteristic, complemented
176#15689117C2211yescharacteristic, complemented
177#15689117C2211yescharacteristic, complemented
178#15689117C2211yescharacteristic, complemented
179C2×#13093944C2211yescharacteristic
180C47×#559—21no—
181C47×#559C2211yescharacteristic, complemented
182C47×#557C2211yescharacteristic, complemented
183C47×#555—21no—
184C47×#555C2211yescharacteristic, complemented
185C47×#553—21no—
186C47×#553C2211yescharacteristic
187C47×#552—21no—
188C47×#552C2211yescharacteristic, complemented
189C47×#550C2211yescharacteristic, complemented
190C47×#548C2211yescharacteristic
191C47×#548C2211yescharacteristic, complemented
192C47×#542—21no—
193C47×#542C2211yescharacteristic, complemented
194C47×#540—21no—
195C47×#540C2211yescharacteristic, complemented
196C47×#529—21no—
197C47×#529—21no—
198C47×#529C2211yescharacteristic
199C47×#529C2211yescharacteristic, complemented
200C47×#520C2211yescharacteristic, complemented
201C47×#519C2211yescharacteristic, complemented
202C4×#41×C47C2211yescharacteristic, complemented
203C2×#10625354—21no—
204C2×#10625350—21no—
205C2×#10625350C2311yescharacteristic
206C2×#10625350C2311yescharacteristic
207C2×#10625350C2311yescharacteristic
208C2×#10625350C2311yescharacteristic
209C22×D188C2311yescharacteristic
210C22×D188C2311yescharacteristic
211C2×D4×D47—21no—
212#13094055—42no—
213#13094049—42no—
214#13094044—42no—
215#13094044—42no—
216#13094044—42no—
217C2×#10625337C2311yescharacteristic
218C2×#10625337C2311yescharacteristic
219C2×#10625337C2311yescharacteristic
220C2×#10625337C2311yescharacteristic
221C2×#10625335C2311yescharacteristic
222C2×#10625335C2311yescharacteristic
223C2×#10625335C2311yescharacteristic
224C2×#10625335C2311yescharacteristic
225C2×#10625336—42no—
226C2×#10625336C2311yescharacteristic
227C2×#10625336C2311yescharacteristic
228C2×#10625336C2311yescharacteristic
229C2×#10625336C2311yescharacteristic
230C2×#10625336C2311yescharacteristic
231C2×#10625336C2311yescharacteristic
232C2×#10625336C2311yescharacteristic
233C2×#10625336C2311yescharacteristic
234C2×#10625334C2311yescharacteristic
235C2×#10625334C2311yescharacteristic
236C2×#10625334C2311yescharacteristic
237C2×#10625334C2311yescharacteristic
238C2×#10625334C2311yescharacteristic
239C2×#10625334C2311yescharacteristic
240C2×#10625334C2311yescharacteristic
241C2×#10625334C2311yescharacteristic
242C2×#10625329C2311yescharacteristic
243C2×#10625329C2311yescharacteristic
244C22×C47⋊C8C2311yescharacteristic
245C22×C47⋊C8C2311yescharacteristic
246C22×C47⋊C8C2311yescharacteristic
247C22×C47⋊C8C2311yescharacteristic
248#13094024C2311yescharacteristic
249#13094024C2311yescharacteristic
250#13094021C2311yescharacteristic
251#13094021C2311yescharacteristic
252#13094021C2311yescharacteristic
253#13094021C2311yescharacteristic
254#13094020—21no—
255#13094020—21no—
256#13094019—21no—
257#13094019—21no—
258#13094019—21no—
259#13094019—21no—
260#13094012—21no—
261#13094012C2311yescharacteristic
262#13094012C2311yescharacteristic
263#13094012C2311yescharacteristic
264#13094012C2311yescharacteristic
265#13094010—21no—
266#13094010—21no—
267#13094009—21no—
268#13094009—21no—
269#13094006—21no—
270#13094006—21no—
271#13094006—21no—
272#13094006—21no—
273#13094003C2311yescharacteristic
274#13094003C2311yescharacteristic
275#13094002—21no—
276#13094002—21no—
277#13094000—21no—
278#13093999—21no—
279#13093999—21no—
280#13093999—21no—
281#13093999—21no—
282#13093999—21no—
283#13093999—21no—
284#13093999—21no—
285#13093999—21no—
286#13093998—21no—
287#13093998—21no—
288#13093998—21no—
289#13093998C2311yescharacteristic
290#13093998C2311yescharacteristic
291#13093998C2311yescharacteristic
292#13093998C2311yescharacteristic
293#13093997—21no—
294#13093997—21no—
295#13093997—21no—
296#13093997—21no—
297#13093997—21no—
298#13093997—21no—
299#13093995—21no—
300#13093994—21no—
301#13093994—21no—
302#13093994—21no—
303#13093994—21no—
304#13093994—21no—
305#13093994—21no—
306#13093992—21no—
307#13093992—21no—
308C4×Dic94C2311yescharacteristic
309C4×Dic94C2311yescharacteristic
310C4×D188—21no—
311C4×D188—21no—
312C4×D188—21no—
313C4×D188C2311yescharacteristic
314C4×D188C2311yescharacteristic
315C4×D188C2311yescharacteristic
316C4×D188C2311yescharacteristic
317#13093986—21no—
318#13093986—21no—
319#13093982—21no—
320C4⋊C4×D47—21no—
321C22⋊C4×D47—21no—
322C22⋊C4×D47—21no—
323#13093957C2311yescharacteristic
324#13093957C2311yescharacteristic
325#13093957C2311yescharacteristic
326#13093957C2311yescharacteristic
327#13093955C2311yescharacteristic
328#13093955C2311yescharacteristic
329#13093955C2311yescharacteristic
330#13093955C2311yescharacteristic
331C4⋊(C47⋊C8)C2311yescharacteristic
332C4⋊(C47⋊C8)C2311yescharacteristic
333C4⋊(C47⋊C8)C2311yescharacteristic
334C4⋊(C47⋊C8)C2311yescharacteristic
335C4⋊(C47⋊C8)C2311yescharacteristic
336C4⋊(C47⋊C8)C2311yescharacteristic
337C4⋊(C47⋊C8)C2311yescharacteristic
338C4⋊(C47⋊C8)C2311yescharacteristic
339C4⋊(C47⋊C8)C2311yescharacteristic
340C4⋊(C47⋊C8)C2311yescharacteristic
341#13093948C2311yescharacteristic
342#13093948C2311yescharacteristic
343#13093948C2311yescharacteristic
344#13093948C2311yescharacteristic
345#13093947C2311yescharacteristic
346#13093947C2311yescharacteristic
347#13093947C2311yescharacteristic
348#13093947C2311yescharacteristic
349#13093947C2311yescharacteristic
350#13093947C2311yescharacteristic
351#13093947C2311yescharacteristic
352#13093947C2311yescharacteristic
353#13093945C2311yescharacteristic
354#13093945C2311yescharacteristic
355#13093945C2311yescharacteristic
356#13093945C2311yescharacteristic
357#13093944C2311yescharacteristic
358#13093944C2311yescharacteristic
359#13093944C2311yescharacteristic
360#13093944C2311yescharacteristic
361#13093944C2311yescharacteristic
362#13093944C2311yescharacteristic
363#13093944C2311yescharacteristic
364#13093944C2311yescharacteristic
365#13093944C2311yescharacteristic
366#13093944C2311yescharacteristic
367#13093944C2311yescharacteristic
368#13093944C2311yescharacteristic
369#13093944C2311yescharacteristic
370#13093944C2311yescharacteristic
371#13093944C2311yescharacteristic
372#13093944C2311yescharacteristic
373C22⋊(C47⋊C8)C2311yescharacteristic
374C22⋊(C47⋊C8)C2311yescharacteristic
375C22⋊(C47⋊C8)C2311yescharacteristic
376C22⋊(C47⋊C8)C2311yescharacteristic
377C22⋊(C47⋊C8)C2311yescharacteristic
378C22⋊(C47⋊C8)C2311yescharacteristic
379#13093935C2311yescharacteristic
380#13093935C2311yescharacteristic
381#13093935C2311yescharacteristic
382#13093935C2311yescharacteristic
383C4×C47⋊C8C2311yescharacteristic
384C4×C47⋊C8C2311yescharacteristic
385C2×#41×C47C2311yescharacteristic
386C2×#41×C47C2311yescharacteristic
387C22×Q8×C47C2311yescharacteristic
388C4⋊Q8×C47—21no—
389C4⋊Q8×C47C2311yescharacteristic
390#127×C47—21no—
391#127×C47C2311yescharacteristic
392#126×C47—21no—
393#126×C47—21no—
394#126×C47—21no—
395#126×C47—21no—
396#126×C47D411yescharacteristic
397#126×C47D411yescharacteristic
398#125×C47—21no—
399#125×C47—21no—
400#125×C47—21no—
401#125×C47D411yescharacteristic
402#125×C47C2311yescharacteristic
403#125×C47C2311yescharacteristic
404#124×C47—21no—
405#124×C47—21no—
406#124×C47—21no—
407#124×C47—21no—
408#124×C47—21no—
409#124×C47—21no—
410#124×C47D411yescharacteristic
411#124×C47C2311yescharacteristic
412#124×C47C2311yescharacteristic
413#123×C47—21no—
414#123×C47—21no—
415#123×C47—21no—
416#123×C47—21no—
417#123×C47—21no—
418#123×C47—21no—
419#123×C47—21no—
420#123×C47—21no—
421#123×C47D411yescharacteristic
422#123×C47D411yescharacteristic
423C22⋊Q8×C47—21no—
424C22⋊Q8×C47—21no—
425C22⋊Q8×C47—21no—
426C22⋊Q8×C47D411yescharacteristic
427C22⋊Q8×C47C2311yescharacteristic
428C22⋊Q8×C47C2311yescharacteristic
429#121×C47—21no—
430#121×C47—21no—
431#121×C47—21no—
432#121×C47—21no—
433#121×C47—21no—
434#121×C47—21no—
435#121×C47—21no—
436#121×C47—21no—
437#121×C47D411yescharacteristic
438#121×C47C2311yescharacteristic
439#121×C47C2311yescharacteristic
440#121×C47C2311yescharacteristic
441#121×C47C2311yescharacteristic
442C4×Q8×C47—21no—
443C4×Q8×C47—21no—
444C4×Q8×C47—21no—
445C4×Q8×C47C2311yescharacteristic
446C4×Q8×C47C2311yescharacteristic
447C4×Q8×C47C2311yescharacteristic
448C4×Q8×C47C2311yescharacteristic
449C4×Q8×C47C2311yescharacteristic
450C4×Q8×C47C2311yescharacteristic
451C4×Q8×C47C2311yescharacteristic
452C4×D4×C47—21no—
453C4×D4×C47—21no—
454C4×D4×C47—21no—
455C4×D4×C47—21no—
456C4×D4×C47—21no—
457C4×D4×C47—21no—
458C4×D4×C47—21no—
459C4×D4×C47—21no—
460C4×D4×C47—21no—
461C4×D4×C47—21no—
462C4×D4×C47C2311yescharacteristic
463C4×D4×C47C2311yescharacteristic
464C4×D4×C47C2311yescharacteristic
465C4×D4×C47C2311yescharacteristic
466C4×D4×C47C2311yescharacteristic
467C4×D4×C47C2311yescharacteristic
468C4×D4×C47C2311yescharacteristic
469#117×C47—21no—
470#117×C47—21no—
471#117×C47—21no—
472#117×C47—21no—
473#117×C47—21no—
474#117×C47—21no—
475#117×C47—21no—
476#117×C47C2311yescharacteristic
477#117×C47C2311yescharacteristic
478#117×C47C2311yescharacteristic
479#117×C47C2311yescharacteristic
480C2×C4⋊C4×C47—21no—
481C2×C4⋊C4×C47C2311yescharacteristic
482C2×C42×C47—21no—
483C2×C42×C47C2311yescharacteristic
484C23×D47—21no—
485C23×D47—21no—
486#41×C47—22no—
487#41×C47—22no—
488#41×C47—41no—
489#41×C47—41no—
490C2×Q8×C47—21no—
491C2×Q8×C47—21no—
492C2×Q8×C47—22no—
493C2×Q8×C47—41no—
494C2×Q8×C47C2×D411yescharacteristic
495C2×Q8×C47C2411yescharacteristic
496C2×Q8×C47C2411yescharacteristic
497C2×D4×C47—21no—
498C2×D4×C47—21no—
499C2×D4×C47—21no—
500C2×D4×C47—21no—
501C2×D4×C47—21no—
502C2×D4×C47—21no—
503C2×D4×C47—21no—
504C2×D4×C47—21no—
505C2×D4×C47C2×D411yescharacteristic
506C2×D4×C47C2×D411yescharacteristic
507C2×D4×C47C2×D411yescharacteristic
508C2×D4×C47C2411yescharacteristic
509C2×D4×C47C2411yescharacteristic
510C22×C4×C47—21no—
511C22×C4×C47—21no—
512C22×C4×C47—21no—
513C22×C4×C47—21no—
514C22×C4×C47—21no—
515C22×C4×C47—21no—
516C22×C4×C47—21no—
517C22×C4×C47—21no—
518C22×C4×C47C2×D411yescharacteristic
519C22×C4×C47C2×D411yescharacteristic
520C22×C4×C47C2411yescharacteristic
521C22×C4×C47C2411yescharacteristic
522C22×C4×C47C2411yescharacteristic
523C2×C22⋊D47—21no—
524C2×C22⋊D47—21no—
525C2×C22⋊D47—21no—
526C2×C22⋊D47—21no—
527C2×C22⋊D47—21no—
528C2×C22⋊D47—21no—
529C2×C22⋊D47—21no—
530C2×C22⋊D47—21no—
531#10625354—82no—
532D4×D47—82no—
533#10625350—41no—
534#10625350—41no—
535#10625350—41no—
536#10625350—41no—
537#10625350—41no—
538#10625350—41no—
539#10625350—41no—
540#10625350—41no—
541#10625350—82no—
542C2×D188—21no—
543C2×D188—21no—
544C2×D188—21no—
545C2×D188—21no—
546C2×D188—21no—
547C2×D188—21no—
548C2×D188—21no—
549C2×D188—21no—
550C2×D188—21no—
551C2×D188—21no—
552C2×D188—41no—
553C2×D188—41no—
554C2×D188—41no—
555C2×D188—41no—
556C2×D188C2411yescharacteristic
557C2×D188C2411yescharacteristic
558C2×D188C2411yescharacteristic
559C2×D188C2411yescharacteristic
560C2×C4×D47—21no—
561C2×C4×D47—21no—
562C2×C4×D47—21no—
563C2×C4×D47—21no—
564C2×C4×D47—21no—
565C2×C4×D47—21no—
566C2×C4×D47—21no—
567C2×C4×D47—21no—
568C2×Dic94—21no—
569C2×Dic94C2411yescharacteristic
570C2×Dic94C2411yescharacteristic
571C4⋊C4×C47—21no—
572C4⋊C4×C47—21no—
573C4⋊C4×C47—21no—
574C4⋊C4×C47—21no—
575C4⋊C4×C47—21no—
576C4⋊C4×C47—21no—
577C4⋊C4×C47—21no—
578C4⋊C4×C47—21no—
579C4⋊C4×C47—21no—
580C4⋊C4×C47—21no—
581C4⋊C4×C47—21no—
582C4⋊C4×C47—21no—
583C4⋊C4×C47—21no—
584C4⋊C4×C47—21no—
585C4⋊C4×C47C2×D411yescharacteristic
586C4⋊C4×C47C2×D411yescharacteristic
587C4⋊C4×C47C2×D411yescharacteristic
588C4⋊C4×C47C2×D411yescharacteristic
589C4⋊C4×C47C2×D411yescharacteristic
590C4⋊C4×C47C2×D411yescharacteristic
591C4⋊C4×C47C2×D411yescharacteristic
592C4⋊C4×C47C2×D411yescharacteristic
593C4⋊C4×C47C2×D411yescharacteristic
594C4⋊C4×C47C2×D411yescharacteristic
595C4⋊C4×C47C2411yescharacteristic
596C4⋊C4×C47C2411yescharacteristic
597C4⋊C4×C47C2411yescharacteristic
598C4⋊C4×C47C2411yescharacteristic
599C22⋊C4×C47—21no—
600C22⋊C4×C47—21no—
601C22⋊C4×C47—21no—
602C22⋊C4×C47—21no—
603C22⋊C4×C47—21no—
604C22⋊C4×C47—21no—
605C22⋊C4×C47—21no—
606C22⋊C4×C47—21no—
607C22⋊C4×C47—21no—
608C22⋊C4×C47—21no—
609C22⋊C4×C47—21no—
610C22⋊C4×C47—21no—
611C22⋊C4×C47—21no—
612C22⋊C4×C47—21no—
613C22⋊C4×C47—21no—
614C22⋊C4×C47—21no—
615C22⋊C4×C47C2×D411yescharacteristic
616C22⋊C4×C47C2×D411yescharacteristic
617C22⋊C4×C47C2×D411yescharacteristic
618C22⋊C4×C47C2×D411yescharacteristic
619C22⋊C4×C47C2×D411yescharacteristic
620C22⋊C4×C47C2×D411yescharacteristic
621C22⋊C4×C47C2×D411yescharacteristic
622C22⋊C4×C47C2×D411yescharacteristic
623C22⋊C4×C47C2×D411yescharacteristic
624C22⋊C4×C47C2×D411yescharacteristic
625C42×C47—21no—
626C42×C47—21no—
627C42×C47—21no—
628C42×C47—21no—
629C42×C47—21no—
630C42×C47—21no—
631C42×C47—21no—
632C42×C47—21no—
633C42×C47C2×D411yescharacteristic
634C42×C47C2×D411yescharacteristic
635C42×C47C2411yescharacteristic
636C42×C47C2411yescharacteristic
637C42×C47C2411yescharacteristic
638C42×C47C2411yescharacteristic
639C22⋊Dic47—21no—
640C22⋊Dic47—21no—
641#10625337—22no—
642#10625337—22no—
643#10625337—41no—
644#10625337—41no—
645#10625336—22no—
646#10625336—22no—
647#10625336—22no—
648#10625336—22no—
649#10625336—41no—
650#10625336—41no—
651#10625336—41no—
652#10625336—41no—
653#10625335—41no—
654#10625335—41no—
655#10625335—41no—
656#10625335—41no—
657#10625334—41no—
658#10625334—41no—
659#10625334—41no—
660#10625334—41no—
661#10625334—41no—
662#10625334—41no—
663#10625334—41no—
664#10625334—41no—
665(C2×D47)⋊C4—21no—
666(C2×D47)⋊C4—21no—
667(C2×D47)⋊C4—21no—
668(C2×D47)⋊C4—21no—
669(C2×D47)⋊C4—21no—
670(C2×D47)⋊C4—21no—
671(C2×D47)⋊C4—21no—
672(C2×D47)⋊C4—21no—
673(C2×D47)⋊C4—21no—
674(C2×D47)⋊C4—21no—
675(C2×D47)⋊C4—21no—
676(C2×D47)⋊C4—21no—
677(C2×D47)⋊C4—21no—
678(C2×D47)⋊C4—21no—
679(C2×D47)⋊C4—21no—
680(C2×D47)⋊C4—21no—
681C4⋊Dic47—21no—
682C4⋊Dic47—21no—
683C4⋊Dic47—21no—
684C4⋊Dic47C2411yescharacteristic
685C4⋊Dic47C2411yescharacteristic
686Dic47⋊C4—21no—
687Dic47⋊C4—21no—
688Dic47⋊C4—21no—
689Dic47⋊C4—21no—
690C4×Dic47—21no—
691C4×Dic47—21no—
692#10625329—41no—
693#10625329—41no—
694C2×C47⋊C8—41no—
695C2×C47⋊C8—41no—
696C2×C47⋊C8—41no—
697C2×C47⋊C8—41no—
698C2×C47⋊C8C2411yescharacteristic
699C2×C47⋊C8C2411yescharacteristic
700C2×C47⋊C8C2411yescharacteristic
701C2×C47⋊C8C2411yescharacteristic
702C2×C47⋊C8C2411yescharacteristic
703C2×C47⋊C8C2411yescharacteristic
704C2×C47⋊C8C2411yescharacteristic
705C2×C47⋊C8C2411yescharacteristic
706C23×C47—21no—
707C23×C47—21no—
708C23×C47C22×D411yescharacteristic
709C23×C47C22×D411yescharacteristic
710C23×C47C22×D411yescharacteristic
711C22×D47—21no—
712C22×D47—21no—
713C22×D47—21no—
714C22×D47—21no—
715C22×D47—81no—
716C22×D47—81no—
717C22×D47—81no—
718C22×D47—81no—
719C22×D47—81no—
720C22×D47—81no—
721Q8×C47—21no—
722Q8×C47—21no—
723Q8×C47—21no—
724Q8×C47—41no—
725Q8×C47—42no—
726Q8×C47—81no—
727Q8×C47H(5,𝔽2)12yes—
728D4×C47—21no—
729D4×C47—21no—
730D4×C47—21no—
731D4×C47—21no—
732D4×C47—41no—
733D4×C47—41no—
734D4×C47—41no—
735D4×C47—42no—
736D4×C47—42no—
737D4×C47—81no—
738D4×C47—81no—
739D4×C47—81no—
740D4×C47—81no—
741D4×C47—81no—
742D4×C47—81no—
743C2×C4×C47—21no—
744C2×C4×C47—21no—
745C2×C4×C47—21no—
746C2×C4×C47—21no—
747C2×C4×C47—21no—
748C2×C4×C47—21no—
749C2×C4×C47—21no—
750C2×C4×C47—21no—
751C2×C4×C47—21no—
752C2×C4×C47—21no—
753C2×C4×C47—21no—
754C2×C4×C47—21no—
755C2×C4×C47—41no—
756C2×C4×C47—41no—
757C2×C4×C47—42no—
758C2×C4×C47—42no—
759C2×C4×C47—42no—
760C2×C4×C47—81no—
761C2×C4×C47—81no—
762C2×C4×C47—81no—
763C2×C4×C47—81no—
764C2×C4×C47—81no—
765C2×C4×C47C22×D411yescharacteristic
766C2×C4×C47C22×D411yescharacteristic
767C2×C4×C47C22×D411yescharacteristic
768C2×C4×C47C22×D411yescharacteristic
769C2×C4×C47C22×D411yescharacteristic
770C2×C4×C47C22×D411yescharacteristic
771C2×C4×C47C22×D411yescharacteristic
772C2×C4×C47C22×D411yescharacteristic
773C2×C4×C47C22×D411yescharacteristic
774C2×C4×C47C22×D411yescharacteristic
775C2×C4×C47C22×D411yescharacteristic
776C2×C4×C47C2511yescharacteristic
777C22⋊D47—81no—
778C22⋊D47—81no—
779C22⋊D47—81no—
780C22⋊D47—81no—
781C22⋊D47—81no—
782C22⋊D47—81no—
783C22⋊D47—81no—
784C22⋊D47—81no—
785C2×Dic47—21no—
786C2×Dic47—21no—
787C2×Dic47—21no—
788C2×Dic47—21no—
789D188—21no—
790D188—21no—
791D188—21no—
792D188—21no—
793D188—21no—
794D188—21no—
795D188—21no—
796D188—21no—
797D188—42no—
798D188—81no—
799D188—81no—
800D188—81no—
801D188—81no—
802D188—81no—
803D188—81no—
804D188—81no—
805D188—81no—
806D188—81no—
807C4×D47—42no—
808C4×D47—42no—
809C4×D47—81no—
810C4×D47—81no—
811C4×D47—81no—
812C4×D47—81no—
813C4×D47—81no—
814C4×D47—81no—
815Dic94—21no—
816Dic94—21no—
817Dic94—21no—
818Dic94—21no—
819Dic94—81no—
820C47⋊C8—21no—
821C47⋊C8—21no—
822C47⋊C8—21no—
823C47⋊C8—21no—
824C47⋊C8—21no—
825C47⋊C8—21no—
826C47⋊C8—21no—
827C47⋊C8—21no—
828#62026—471nomaximal, Sylow
829C22×C47—21no—
830C22×C47—21no—
831C22×C47—21no—
832C22×C47—21no—
833C22×C47—21no—
834C22×C47—21no—
835C22×C47—21no—
836C22×C47—21no—
837C22×C47—21no—
838C22×C47—41no—
839C22×C47—41no—
840C22×C47—41no—
841C22×C47—41no—
842C22×C47—41no—
843C22×C47—41no—
844C22×C47C23×D411yescharacteristic
845C2×D47—41no—
846C2×D47—41no—
847C2×D47—41no—
848C2×D47—41no—
849C2×D47—41no—
850C2×D47—41no—
851C2×D47—41no—
852C2×D47—41no—
853C2×D47—41no—
854C2×D47—41no—
855C2×D47—41no—
856C2×D47—41no—
857C2×D47—162no—
858C2×D47—162no—
859C4×C47—21no—
860C4×C47—21no—
861C4×C47—21no—
862C4×C47—21no—
863C4×C47—21no—
864C4×C47—21no—
865C4×C47—21no—
866C4×C47—21no—
867C4×C47—21no—
868C4×C47—21no—
869C4×C47—21no—
870C4×C47—22no—
871C4×C47—41no—
872C4×C47—41no—
873C4×C47—41no—
874C4×C47—41no—
875C4×C47—41no—
876C4×C47C2×H(5,𝔽2)11yescharacteristic
877C4×C47#58511yescharacteristic
878Dic47—41no—
879Dic47—41no—
880Dic47—41no—
881Dic47—41no—
882#3546—471no—
883#3524D4711yescharacteristic, complemented
884#3401—471no—
885#3399—471no—
886#3377—471no—
887#3368—471no—
888#3319—471no—
889#3318—471no—
890#3317—471no—
891#3307—471no—
892#3305—471no—
893#3296—471no—
894#3287—471no—
895#3282—471no—
896#3271—471no—
897#3269—471no—
898#3268—471no—
899#3265—471no—
900#3262—471no—
901#3257—471no—
902#3247—471no—
903#3224—471no—
904#3220—471no—
905#3219—471no—
906#3125—471no—
907#3121—471no—
908#3115—471no—
909#3045—471no—
910#3043—471no—
911#3035—471no—
912#2992—471no—
913C2×C47—41no—
914C2×C47—41no—
915C2×C47—41no—
916C2×C47—81no—
917C2×C47—81no—
918C2×C47#348811yescharacteristic
919C2×C47#358411yescharacteristic
920C2×C47#358511yescharacteristic
921D47—81no—
922D47—81no—
923D47—81no—
924D47—81no—
925C2×#137—471no—
926C2×AGL(1,ℤ/8)—471no—
927C2×#135—471no—
928C2×#135—471no—
929C2×#135—471no—
930C22×SD16—471no—
931#560—941no—
932#560—941no—
933#559—21no—
934#559C2×D4711yescharacteristic, complemented
935#557C2×D4711yescharacteristic, complemented
936#556—471no—
937#555—21no—
938#555C2×D4711yescharacteristic, complemented
939#553—21no—
940#553—941no—
941#553C2×D4711yescharacteristic
942#552—21no—
943#552C2×D4711yescharacteristic, complemented
944#550—471no—
945#550—471no—
946#550—471no—
947#550C2×D4711yescharacteristic, complemented
948#548C2×D4711yescharacteristic
949#548C2×D4711yescharacteristic, complemented
950#547—471no—
951#546—471no—
952#546—471no—
953#546—941no—
954D42—471no—
955#542—21no—
956#542—471no—
957#542—471no—
958#542C2×D4711yescharacteristic, complemented
959#540—21no—
960#540C2×D4711yescharacteristic, complemented
961#538—941no—
962#538—941no—
963#537—941no—
964#535—471no—
965#535—471no—
966#535—941no—
967#532—471no—
968#532—471no—
969#529—21no—
970#529—21no—
971#529C2×D4711yescharacteristic
972#529C2×D4711yescharacteristic, complemented
973#520C2×D4711yescharacteristic, complemented
974#519C2×D4711yescharacteristic, complemented
975C4×#41C2×D4711yescharacteristic, complemented
976#497—471no—
977#496—471no—
978#496—471no—
979#496—471no—
980#495—471no—
981#493—471no—
982#491—471no—
983#490—471no—
984#490—471no—
985#489—471no—
986#488—471no—
987#486—471no—
988#485—471no—
989#483—471no—
990#482—471no—
991#482—471no—
992#482—471no—
993#481—471no—
994#479—471no—
995#478—471no—
996#478—471no—
997#478—471no—
998#477—471no—
999#477—471no—
1000#476—471no—
1001#475—471no—
1002#474—471no—
1003#474—471no—
1004#469—471no—
1005#468—471no—
1006#468—471no—
1007#468—471no—
1008#467—471no—
1009#466—471no—
1010#466—471no—
1011#466—471no—
1012#466—471no—
1013#465—471no—
1014#465—471no—
1015#465—471no—
1016#464—471no—
1017#464—471no—
1018#464—471no—
1019#464—471no—
1020#464—471no—
1021#464—471no—
1022#464—471no—
1023#464—471no—
1024#463—471no—
1025#463—471no—
1026#463—471no—
1027#463—471no—
1028#463—471no—
1029#463—471no—
1030#463—471no—
1031#463—471no—
1032#462—471no—
1033#461—471no—
1034#460—471no—
1035#460—471no—
1036#460—471no—
1037#460—471no—
1038#460—471no—
1039#460—471no—
1040#460—471no—
1041#459—471no—
1042#459—471no—
1043#459—471no—
1044#459—471no—
1045#459—471no—
1046#452—471no—
1047#452—471no—
1048#452—471no—
1049#452—471no—
1050#451—471no—
1051#450—471no—
1052#449—471no—
1053#449—471no—
1054#449—471no—
1055#449—471no—
1056#449—471no—
1057#449—471no—
1058#449—471no—
1059#449—471no—
1060#448—471no—
1061#447—471no—
1062#447—471no—
1063#447—471no—
1064#446—471no—
1065#446—471no—
1066#442—471no—
1067#442—471no—
1068#442—471no—
1069#441—471no—
1070#441—471no—
1071#440—471no—
1072#440—471no—
1073#440—471no—
1074C4×Q16—471no—
1075C4×SD16—471no—
1076C4×SD16—471no—
1077C4×SD16—471no—
1078#435—471no—
1079#435—471no—
1080#435—471no—
1081#435—471no—
1082C8×D4—471no—
1083C8×D4—471no—
1084#433—471no—
1085#433—471no—
1086#432—471no—
1087#424—471no—
1088#424—471no—
1089C2×C4⋊C8—471no—
1090#418—471no—
1091#417—471no—
1092#416—471no—
1093#416—471no—
1094#416—471no—
1095C2×#102—471no—
1096C47#6202611yescharacteristic, complemented, Sylow
1097C2×#41—471no—
1098C2×#41—471no—
1099C2×#41—471no—
1100C2×#41—471no—
1101C2×#41—941no—
1102C2×#41—941no—
1103C2×#41C22×D4711yescharacteristic
1104C2×#41C22×D4711yescharacteristic
1105C22×Q8C22×D4711yescharacteristic
1106C22×D4—471no—
1107C22×D4—471no—
1108C22×D4—941no—
1109#137—1882no—
1110AGL(1,ℤ/8)—1882no—
1111#135—1882no—
1112#135—1882no—
1113#135—1882no—
1114C2×Q16—471no—
1115C2×Q16—471no—
1116C2×Q16—471no—
1117C2×Q16—471no—
1118C2×SD16—471no—
1119C2×SD16—471no—
1120C2×SD16—471no—
1121C2×SD16—471no—
1122C2×SD16—471no—
1123C2×SD16—471no—
1124C2×SD16—471no—
1125C2×SD16—471no—
1126C2×SD16—471no—
1127C2×SD16—471no—
1128C2×SD16—471no—
1129C2×SD16—471no—
1130C2×SD16—1882no—
1131C2×D8—471no—
1132C2×D8—471no—
1133C2×D8—471no—
1134C2×D8—471no—
1135C2×D8—471no—
1136C2×D8—471no—
1137C2×D8—471no—
1138C2×D8—471no—
1139C2×M16—471no—
1140C2×M16—471no—
1141C22×C8—471no—
1142C22×C8—471no—
1143C22×C8—471no—
1144C22×C8—471no—
1145C4⋊Q8—21no—
1146C4⋊Q8—471no—
1147C4⋊Q8—471no—
1148C4⋊Q8C22×D4711yescharacteristic
1149#127—21no—
1150#127—471no—
1151#127—471no—
1152#127—471no—
1153#127—471no—
1154#127—941no—
1155#127—941no—
1156#127C22×D4711yescharacteristic
1157#126—21no—
1158#126—21no—
1159#126—21no—
1160#126—21no—
1161#126—941no—
1162#126—941no—
1163#126—941no—
1164#126—941no—
1165#126C22⋊D4711yescharacteristic
1166#126C22⋊D4711yescharacteristic
1167#125—21no—
1168#125—21no—
1169#125—21no—
1170#125C22⋊D4711yescharacteristic
1171#125C22×D4711yescharacteristic
1172#125C22×D4711yescharacteristic
1173#124—21no—
1174#124—21no—
1175#124—21no—
1176#124—21no—
1177#124—21no—
1178#124—21no—
1179#124—471no—
1180#124—471no—
1181#124—471no—
1182#124—471no—
1183#124—941no—
1184#124—941no—
1185#124—941no—
1186#124C22⋊D4711yescharacteristic
1187#124C22×D4711yescharacteristic
1188#124C22×D4711yescharacteristic
1189#123—21no—
1190#123—21no—
1191#123—21no—
1192#123—21no—
1193#123—21no—
1194#123—21no—
1195#123—21no—
1196#123—21no—
1197#123—941no—
1198#123—941no—
1199#123—941no—
1200#123—941no—
1201#123—941no—
1202#123—941no—
1203#123C22⋊D4711yescharacteristic
1204#123C22⋊D4711yescharacteristic
1205C22⋊Q8—21no—
1206C22⋊Q8—21no—
1207C22⋊Q8—21no—
1208C22⋊Q8—471no—
1209C22⋊Q8—471no—
1210C22⋊Q8—941no—
1211C22⋊Q8—941no—
1212C22⋊Q8—941no—
1213C22⋊Q8C22⋊D4711yescharacteristic
1214C22⋊Q8C22×D4711yescharacteristic
1215C22⋊Q8C22×D4711yescharacteristic
1216#121—21no—
1217#121—21no—
1218#121—21no—
1219#121—21no—
1220#121—21no—
1221#121—21no—
1222#121—21no—
1223#121—21no—
1224#121—471no—
1225#121—471no—
1226#121—471no—
1227#121—471no—
1228#121—941no—
1229#121—941no—
1230#121—941no—
1231#121—941no—
1232#121—941no—
1233#121—941no—
1234#121—941no—
1235#121—941no—
1236#121—941no—
1237#121—941no—
1238#121—941no—
1239#121—941no—
1240#121—941no—
1241#121—941no—
1242#121—941no—
1243#121—941no—
1244#121—941no—
1245#121—941no—
1246#121C22⋊D4711yescharacteristic
1247#121C22×D4711yescharacteristic
1248#121C22×D4711yescharacteristic
1249#121C22×D4711yescharacteristic
1250#121C22×D4711yescharacteristic
1251#120—941no—
1252#120—941no—
1253#120—941no—
1254#120—941no—
1255#120—941no—
1256#120—941no—
1257#120—941no—
1258#120—941no—
1259C4×Q8—21no—
1260C4×Q8—21no—
1261C4×Q8—21no—
1262C4×Q8—471no—
1263C4×Q8—471no—
1264C4×Q8C22×D4711yescharacteristic
1265C4×Q8C22×D4711yescharacteristic
1266C4×Q8C22×D4711yescharacteristic
1267C4×Q8C22×D4711yescharacteristic
1268C4×Q8C22×D4711yescharacteristic
1269C4×Q8C22×D4711yescharacteristic
1270C4×Q8C22×D4711yescharacteristic
1271C4×D4—21no—
1272C4×D4—21no—
1273C4×D4—21no—
1274C4×D4—21no—
1275C4×D4—21no—
1276C4×D4—21no—
1277C4×D4—21no—
1278C4×D4—21no—
1279C4×D4—21no—
1280C4×D4—21no—
1281C4×D4—471no—
1282C4×D4—471no—
1283C4×D4—471no—
1284C4×D4—471no—
1285C4×D4—941no—
1286C4×D4—941no—
1287C4×D4—941no—
1288C4×D4—941no—
1289C4×D4—941no—
1290C4×D4C22×D4711yescharacteristic
1291C4×D4C22×D4711yescharacteristic
1292C4×D4C22×D4711yescharacteristic
1293C4×D4C22×D4711yescharacteristic
1294C4×D4C22×D4711yescharacteristic
1295C4×D4C22×D4711yescharacteristic
1296C4×D4C22×D4711yescharacteristic
1297#117—21no—
1298#117—21no—
1299#117—21no—
1300#117—21no—
1301#117—21no—
1302#117—21no—
1303#117—21no—
1304#117—941no—
1305#117C22×D4711yescharacteristic
1306#117C22×D4711yescharacteristic
1307#117C22×D4711yescharacteristic
1308#117C22×D4711yescharacteristic
1309C2×C4⋊C4—21no—
1310C2×C4⋊C4—941no—
1311C2×C4⋊C4C22×D4711yescharacteristic
1312C2×C22⋊C4—941no—
1313C2×C22⋊C4—941no—
1314C2×C42—21no—
1315C2×C42C22×D4711yescharacteristic
1316#107—471no—
1317#107—471no—
1318#107—471no—
1319#107—471no—
1320#106—471no—
1321#106—471no—
1322#106—471no—
1323#106—471no—
1324C4⋊C8—471no—
1325C4⋊C8—471no—
1326C4⋊C8—471no—
1327C4⋊C8—471no—
1328C4⋊C8—471no—
1329C4⋊C8—471no—
1330C4⋊C8—471no—
1331C4⋊C8—471no—
1332C4⋊C8—471no—
1333C4⋊C8—471no—
1334#103—471no—
1335#103—471no—
1336#103—471no—
1337#103—471no—
1338#103—471no—
1339#103—471no—
1340#103—471no—
1341#103—471no—
1342#103—471no—
1343#103—471no—
1344#103—471no—
1345#103—471no—
1346#102—471no—
1347#102—471no—
1348#102—471no—
1349#102—471no—
1350#102—471no—
1351#102—471no—
1352#102—471no—
1353#102—471no—
1354#102—471no—
1355#102—471no—
1356#102—471no—
1357#102—471no—
1358#102—471no—
1359#102—471no—
1360#102—471no—
1361#102—471no—
1362#102—471no—
1363#102—471no—
1364#102—471no—
1365#102—471no—
1366C22⋊C8—471no—
1367C22⋊C8—471no—
1368C22⋊C8—471no—
1369C22⋊C8—471no—
1370C22⋊C8—471no—
1371C22⋊C8—471no—
1372#97—471no—
1373#97—471no—
1374#97—471no—
1375#97—471no—
1376C4×C8—471no—
1377C4×C8—471no—
1378C24—941no—
1379C24—941no—
1380#41—22no—
1381#41—22no—
1382#41—41no—
1383#41—41no—
1384#41—3762no—
1385#41—3762no—
1386#41—1881no—
1387#41—1881no—
1388#41—1881no—
1389#41—1881no—
1390#41—1881no—
1391#41—1881no—
1392#41—1881no—
1393#41—1881no—
1394C2×Q8—21no—
1395C2×Q8—21no—
1396C2×Q8—22no—
1397C2×Q8—41no—
1398C2×Q8—471no—
1399C2×Q8—471no—
1400C2×Q8—941no—
1401C2×Q8C2×C22⋊D4711yescharacteristic
1402C2×Q8C23×D4711yescharacteristic
1403C2×Q8C23×D4711yescharacteristic
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—471no—
1413C2×D4—471no—
1414C2×D4—471no—
1415C2×D4—471no—
1416C2×D4—941no—
1417C2×D4—941no—
1418C2×D4—941no—
1419C2×D4—941no—
1420C2×D4—941no—
1421C2×D4—941no—
1422C2×D4—941no—
1423C2×D4—941no—
1424C2×D4—941no—
1425C2×D4—941no—
1426C2×D4—941no—
1427C2×D4—941no—
1428C2×D4—941no—
1429C2×D4—941no—
1430C2×D4—941no—
1431C2×D4—941no—
1432C2×D4—941no—
1433C2×D4—941no—
1434C2×D4—3762no—
1435C2×D4—1881no—
1436C2×D4—1881no—
1437C2×D4—1881no—
1438C2×D4—1881no—
1439C2×D4C2×C22⋊D4711yescharacteristic
1440C2×D4C2×C22⋊D4711yescharacteristic
1441C2×D4C2×C22⋊D4711yescharacteristic
1442C2×D4C23×D4711yescharacteristic
1443C2×D4C23×D4711yescharacteristic
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—21no—
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×C4C2×C22⋊D4711yescharacteristic
1461C22×C4C2×C22⋊D4711yescharacteristic
1462C22×C4C23×D4711yescharacteristic
1463C22×C4C23×D4711yescharacteristic
1464C22×C4C23×D4711yescharacteristic
1465Q16—942no—
1466Q16—942no—
1467Q16—1881no—
1468Q16—1881no—
1469SD16—942no—
1470SD16—942no—
1471SD16—942no—
1472SD16—942no—
1473SD16—1881no—
1474SD16—1881no—
1475SD16—1881no—
1476SD16—1881no—
1477SD16—1881no—
1478SD16—1881no—
1479SD16—1881no—
1480SD16—1881no—
1481D8—1881no—
1482D8—1881no—
1483D8—1881no—
1484D8—1881no—
1485D8—1881no—
1486D8—1881no—
1487D8—1881no—
1488D8—1881no—
1489M16—1881no—
1490M16—1881no—
1491C2×C8—471no—
1492C2×C8—471no—
1493C2×C8—471no—
1494C2×C8—471no—
1495C2×C8—471no—
1496C2×C8—471no—
1497C2×C8—471no—
1498C2×C8—471no—
1499C2×C8—1881no—
1500C2×C8—1881no—
1501C2×C8—1881no—
1502C2×C8—1881no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—21no—
1511C4⋊C4—21no—
1512C4⋊C4—21no—
1513C4⋊C4—21no—
1514C4⋊C4—21no—
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—471no—
1518C4⋊C4—471no—
1519C4⋊C4—941no—
1520C4⋊C4—941no—
1521C4⋊C4—941no—
1522C4⋊C4—941no—
1523C4⋊C4—941no—
1524C4⋊C4—941no—
1525C4⋊C4—941no—
1526C4⋊C4C2×C22⋊D4711yescharacteristic
1527C4⋊C4C2×C22⋊D4711yescharacteristic
1528C4⋊C4C2×C22⋊D4711yescharacteristic
1529C4⋊C4C2×C22⋊D4711yescharacteristic
1530C4⋊C4C2×C22⋊D4711yescharacteristic
1531C4⋊C4C2×C22⋊D4711yescharacteristic
1532C4⋊C4C2×C22⋊D4711yescharacteristic
1533C4⋊C4C2×C22⋊D4711yescharacteristic
1534C4⋊C4C2×C22⋊D4711yescharacteristic
1535C4⋊C4C2×C22⋊D4711yescharacteristic
1536C4⋊C4C23×D4711yescharacteristic
1537C4⋊C4C23×D4711yescharacteristic
1538C4⋊C4C23×D4711yescharacteristic
1539C4⋊C4C23×D4711yescharacteristic
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—941no—
1557C22⋊C4—941no—
1558C22⋊C4—941no—
1559C22⋊C4—941no—
1560C22⋊C4—941no—
1561C22⋊C4—941no—
1562C22⋊C4—941no—
1563C22⋊C4—941no—
1564C22⋊C4—941no—
1565C22⋊C4—941no—
1566C22⋊C4—941no—
1567C22⋊C4—941no—
1568C22⋊C4—941no—
1569C22⋊C4—941no—
1570C22⋊C4—941no—
1571C22⋊C4—941no—
1572C22⋊C4—941no—
1573C22⋊C4—941no—
1574C22⋊C4C2×C22⋊D4711yescharacteristic
1575C22⋊C4C2×C22⋊D4711yescharacteristic
1576C22⋊C4C2×C22⋊D4711yescharacteristic
1577C22⋊C4C2×C22⋊D4711yescharacteristic
1578C22⋊C4C2×C22⋊D4711yescharacteristic
1579C22⋊C4C2×C22⋊D4711yescharacteristic
1580C22⋊C4C2×C22⋊D4711yescharacteristic
1581C22⋊C4C2×C22⋊D4711yescharacteristic
1582C22⋊C4C2×C22⋊D4711yescharacteristic
1583C22⋊C4C2×C22⋊D4711yescharacteristic
1584C42—21no—
1585C42—21no—
1586C42—21no—
1587C42—21no—
1588C42—21no—
1589C42—21no—
1590C42—21no—
1591C42—21no—
1592C42—941no—
1593C42—941no—
1594C42C2×C22⋊D4711yescharacteristic
1595C42C2×C22⋊D4711yescharacteristic
1596C42C23×D4711yescharacteristic
1597C42C23×D4711yescharacteristic
1598C42C23×D4711yescharacteristic
1599C42C23×D4711yescharacteristic
1600C23—21no—
1601C23—21no—
1602C23—941no—
1603C23—941no—
1604C23—941no—
1605C23—941no—
1606C23—3761no—
1607C23—3761no—
1608C23—3761no—
1609C23—3761no—
1610C23—3761no—
1611C23—3761no—
1612C23C22×C22⋊D4711yescharacteristic
1613C23C22×C22⋊D4711yescharacteristic
1614C23C22×C22⋊D4711yescharacteristic
1615Q8—21no—
1616Q8—21no—
1617Q8—21no—
1618Q8—41no—
1619Q8—42no—
1620Q8—81no—
1621Q8—941no—
1622Q8—941no—
1623Q8—941no—
1624Q8—941no—
1625Q8—3761no—
1626Q8#1309407012yes—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—41no—
1632D4—41no—
1633D4—41no—
1634D4—42no—
1635D4—42no—
1636D4—81no—
1637D4—81no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—81no—
1642D4—941no—
1643D4—941no—
1644D4—941no—
1645D4—941no—
1646D4—941no—
1647D4—941no—
1648D4—941no—
1649D4—941no—
1650D4—3761no—
1651D4—3761no—
1652D4—3761no—
1653D4—3761no—
1654D4—3761no—
1655D4—3761no—
1656D4—3761no—
1657D4—3761no—
1658D4—3761no—
1659D4—3761no—
1660D4—3761no—
1661D4—3761no—
1662D4—3761no—
1663D4—3761no—
1664D4—3761no—
1665D4—3761no—
1666D4—3761no—
1667D4—1882no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—41no—
1681C2×C4—41no—
1682C2×C4—42no—
1683C2×C4—42no—
1684C2×C4—42no—
1685C2×C4—81no—
1686C2×C4—81no—
1687C2×C4—81no—
1688C2×C4—81no—
1689C2×C4—81no—
1690C2×C4—941no—
1691C2×C4—941no—
1692C2×C4—941no—
1693C2×C4—941no—
1694C2×C4—3761no—
1695C2×C4—3761no—
1696C2×C4—3761no—
1697C2×C4—3761no—
1698C2×C4—3761no—
1699C2×C4—3761no—
1700C2×C4—1882no—
1701C2×C4—1882no—
1702C2×C4C22×C22⋊D4711yescharacteristic
1703C2×C4C22×C22⋊D4711yescharacteristic
1704C2×C4C22×C22⋊D4711yescharacteristic
1705C2×C4C22×C22⋊D4711yescharacteristic
1706C2×C4C22×C22⋊D4711yescharacteristic
1707C2×C4C22×C22⋊D4711yescharacteristic
1708C2×C4C22×C22⋊D4711yescharacteristic
1709C2×C4C22×C22⋊D4711yescharacteristic
1710C2×C4C22×C22⋊D4711yescharacteristic
1711C2×C4C22×C22⋊D4711yescharacteristic
1712C2×C4C22×C22⋊D4711yescharacteristic
1713C2×C4C24×D4711yescharacteristic
1714C8—941no—
1715C8—941no—
1716C8—941no—
1717C8—941no—
1718C8—941no—
1719C8—941no—
1720C8—941no—
1721C8—941no—
1722C22—21no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—21no—
1730C22—21no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—1881no—
1738C22—1881no—
1739C22—1881no—
1740C22—1881no—
1741C22—1881no—
1742C22—1881no—
1743C22—1881no—
1744C22—1881no—
1745C22—1881no—
1746C22—1881no—
1747C22—1881no—
1748C22—1881no—
1749C22—7522no—
1750C22—7522no—
1751C22C23×C22⋊D4711yescharacteristic
1752C4—21no—
1753C4—21no—
1754C4—21no—
1755C4—22no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—21no—
1760C4—21no—
1761C4—21no—
1762C4—21no—
1763C4—21no—
1764C4—41no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—1881no—
1770C4—1881no—
1771C4—1881no—
1772C4—1881no—
1773C4C2×#1309407011yescharacteristic
1774C4#1568995911yescharacteristic
1775C2—41no—
1776C2—41no—
1777C2—41no—
1778C2—81no—
1779C2—81no—
1780C2—3761no—
1781C2—3761no—
1782C2—3761no—
1783C2—3761no—
1784C2#2025705711yescharacteristic
1785C2#2025815911yescharacteristic
1786C2#2025816711yescharacteristic
subgroupG/H
centerC22C23×C22⋊D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3524C2
socleC22×C47C23×D4
hypercenter#3524D47
hypocenterC47#62026
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ #529 ◁ #3524

Complements

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

NH ≅ G/Ntype
1. #20257762C2semidirect
2. #20256448C2semidirect
3. #20256426C2semidirect
4. #20256230C2semidirect
5. #20256117C2semidirect
6. #20255538C2semidirect
7. #20255523C2semidirect
8. #20255508C2semidirect
9. #20255358C2semidirect
10. #20255332C2semidirect
11. #20255217C2semidirect
12. #20255144C2semidirect
13. #20255096C2semidirect
14. #20254974C2semidirect
15. #20254944C2semidirect
16. #20254929C2semidirect
17. #20254884C2semidirect
18. #20254844C2semidirect
19. #20254793C2semidirect
20. #20254714C2semidirect
21. #20254476C2semidirect
22. #20254432C2semidirect
23. #20254421C2semidirect
24. #20253665C2semidirect
25. #20253617C2semidirect
26. #20253539C2semidirect
27. #20252927C2semidirect
28. #20252909C2semidirect
29. #20252843C2semidirect
30. #20252527C2semidirect
31. C47×#3524C2semidirect
32. C2×#13094055C22semidirect
34. C2×#13094044C22semidirect
35. C2×#13094044C22semidirect
36. C2×#13094044C22semidirect
60. #15689518C22semidirect
62. #15689513C22semidirect
65. #15689499C22semidirect
66. #15689493C22semidirect
68. #15689489C22semidirect
71. #15689471C22semidirect
72. #15689464C22semidirect
73. #15689453C22semidirect
76. #15689447C22semidirect
78. #15689427C22semidirect
80. #15689420C22semidirect
81. #15689420C22semidirect
82. #15689418C22semidirect
83. #15689415C22semidirect
84. #15689413C22semidirect
85. #15689408C22semidirect
86. #15689403C22semidirect
87. #15689400C22semidirect
90. #15689367C22semidirect
91. #15689367C22semidirect
92. #15689362C22semidirect
96. #15689357C22semidirect
98. #15689354C22semidirect
99. #15689350C22semidirect
103. #15689345C22semidirect
104. #15689345C22semidirect
105. #15689345C22semidirect
106. #15689345C22semidirect
107. #15689342C22semidirect
109. #15689338C22semidirect
110. #15689338C22semidirect
111. #15689338C22semidirect
112. #15689338C22semidirect
114. #15689335C22semidirect
115. #15689335C22semidirect
116. #15689333C22semidirect
117. #15689328C22semidirect
121. #15689323C22semidirect
122. #15689323C22semidirect
123. #15689323C22semidirect
124. #15689320C22semidirect
128. #15689318C22semidirect
129. #15689315C22semidirect
130. #15689285C22semidirect
131. #15689283C22semidirect
132. #15689283C22semidirect
133. #15689283C22semidirect
134. #15689279C22semidirect
138. #15689268C22semidirect
139. #15689266C22semidirect
140. #15689266C22semidirect
141. #15689266C22semidirect
142. #15689266C22semidirect
143. #15689266C22semidirect
148. #15689254C22semidirect
149. #15689254C22semidirect
151. #15689233C22semidirect
152. #15689233C22semidirect
153. #15689228C22semidirect
154. #15689228C22semidirect
156. #15689221C22semidirect
157. #15689221C22semidirect
158. C4×#10625337C22semidirect
159. C4×#10625336C22semidirect
160. C4×#10625336C22semidirect
161. C4×#10625335C22semidirect
164. #15689195C22semidirect
165. #15689195C22semidirect
166. D4×C47⋊C8C22semidirect
167. D4×C47⋊C8C22semidirect
168. #15689184C22semidirect
169. #15689184C22semidirect
170. #15689180C22semidirect
171. #15689150C22semidirect
172. #15689150C22semidirect
173. C2×C4⋊(C47⋊C8)C22semidirect
175. #15689122C22semidirect
176. #15689117C22semidirect
177. #15689117C22semidirect
178. #15689117C22semidirect
181. C47×#559C22semidirect
182. C47×#557C22semidirect
184. C47×#555C22semidirect
188. C47×#552C22semidirect
189. C47×#550C22semidirect
191. C47×#548C22semidirect
193. C47×#542C22semidirect
195. C47×#540C22semidirect
199. C47×#529C22semidirect
200. C47×#520C22semidirect
201. C47×#519C22semidirect
202. C4×#41×C47C22semidirect
883. #3524D47semidirect
934. #559C2×D47semidirect
935. #557C2×D47semidirect
938. #555C2×D47semidirect
943. #552C2×D47semidirect
947. #550C2×D47semidirect
949. #548C2×D47semidirect
958. #542C2×D47semidirect
960. #540C2×D47semidirect
972. #529C2×D47semidirect
973. #520C2×D47semidirect
974. #519C2×D47semidirect
975. C4×#41C2×D47semidirect
1096. C47#62026semidirect

Maximal subgroups

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

subgroupindex
#202577622
#202564482
#202564262
#202562302
#202561172
#202555382
#202555232
#202555082
#202553582
#202553322
#202552172
#202551442
#202550962
#202549742
#202549442
#202549292
#202548842
#202548442
#202547932
#202547142
#202544762
#202544322
#202544212
#202536652
#202536172
#202535392
#202529272
#202529092
#202528432
#202525272
C47×#35242
#6202647