Finite Group Databasebeta

← #27124853

Subgroups — #27124853

Order 12032.

7210 conjugacy classes of subgroups.

The subgroup lattice has 2416 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257304C214yesmaximal, complemented
2#20257294C212yesmaximal, complemented
3#20257290C212yesmaximal, complemented
4#20257276C214yesmaximal, complemented
5#20257266C212yesmaximal, complemented
6#20257256C212yesmaximal, complemented
7#20257248C212yesmaximal, complemented
8#20257244C212yesmaximal, complemented
9#20257235C212yesmaximal, complemented
10#20257231C212yesmaximal, complemented
11#20257229C211yesmaximal, characteristic, complemented
12#20257227C211yesmaximal, characteristic, complemented
13#20257225C212yesmaximal, complemented
14#20257222C211yesmaximal, characteristic, complemented
15#20257218C212yesmaximal, complemented
16#20256982C214yesmaximal, complemented
17#20256982C212yesmaximal, complemented
18#20256978C212yesmaximal, complemented
19#20256953C212yesmaximal, complemented
20#20256943C214yesmaximal, complemented
21#20256939C212yesmaximal, complemented
22#20256774C212yesmaximal, complemented
23#20256770C212yesmaximal, complemented
24#20256714C212yesmaximal, complemented
25#20256682C212yesmaximal, complemented
26#20256680C212yesmaximal, complemented
27C2×#15689675C211yesmaximal, characteristic, complemented
28C2×#15689668C211yesmaximal, characteristic, complemented
29#20256586C212yesmaximal, complemented
30C2×C4×#10625352C211yesmaximal, characteristic, complemented
31C47×#3505C211yesmaximal, characteristic, complemented
32C22×#10625352C2211yescharacteristic
33C22×#10625352C2212yes—
34#15689857C2214yescomplemented
35#15689857C2214yescomplemented
36#15689857C2214yescomplemented
37#15689856C2214yescomplemented
38#15689856C2212yescomplemented
39#15689855C2214yescomplemented
40#15689855C2212yescomplemented
41#15689850C2212yescomplemented
42#15689850C2214yescomplemented
43#15689849C2212yescomplemented
44#15689845C2212yescomplemented
45#15689844C2212yescomplemented
46#15689844C2214yescomplemented
47#15689842C2212yescomplemented
48#15689841C2212yescomplemented
49#15689841C2214yescomplemented
50#15689840C2214yescomplemented
51#15689840C2214yescomplemented
52#15689840C2214yescomplemented
53#15689840C2214yescomplemented
54#15689837C2212yescomplemented
55#15689836C2212yescomplemented
56#15689835C2214yescomplemented
57#15689832C2212yescomplemented
58#15689829C2212yescomplemented
59#15689827C2214yescomplemented
60#15689825C2212yescomplemented
61#15689825C2214yescomplemented
62#15689824C2214yescomplemented
63#15689822C2214yescomplemented
64#15689822C2214yescomplemented
65#15689822C2214yescomplemented
66#15689822C2214yescomplemented
67#15689821C2212yescomplemented
68#15689821C2214yescomplemented
69#15689819C2212yescomplemented
70#15689819C2214yescomplemented
71#15689818C2214yescomplemented
72#15689816C2214yescomplemented
73#15689816C2214yescomplemented
74#15689816C2214yescomplemented
75#15689816C2214yescomplemented
76#15689815C2212yescomplemented
77#15689813C2212yescomplemented
78#15689810C2214yescomplemented
79#15689810C2214yescomplemented
80#15689809C2214yescomplemented
81#15689808C2212yescomplemented
82#15689806C2214yescomplemented
83#15689806C2214yescomplemented
84#15689805C2214yescomplemented
85#15689804C2214yescomplemented
86#15689802C2214yescomplemented
87#15689800C2214yescomplemented
88#15689799C2214yescomplemented
89#15689799C2214yescomplemented
90#15689797C2214yescomplemented
91#15689796C2214yescomplemented
92#15689792C2212yescomplemented
93#15689791C2212yescomplemented
94#15689791C2214yescomplemented
95#15689784C2212yescomplemented
96#15689782C2214yescomplemented
97#15689782C2212yescomplemented
98#15689779C2214yescomplemented
99#15689779C2212yescomplemented
100#15689775C2212yescomplemented
101#15689772C2212yescomplemented
102#15689771C2214yescomplemented
103#15689769C2212yescomplemented
104#15689767C2212yescomplemented
105#15689764C2212yescomplemented
106#15689763C2214yescomplemented
107#15689760C2214yescomplemented
108#15689743C2214yescomplemented
109#15689741C2214yescomplemented
110#15689739C2214yescomplemented
111#15689737C2214yescomplemented
112#15689732C2214yescomplemented
113#15689730C2214yescomplemented
114#15689725C2214yescomplemented
115#15689723C2214yescomplemented
116#15689722C2212yescomplemented
117#15689720C2212yescomplemented
118#15689718C2212yescomplemented
119#15689717C2214yescomplemented
120#15689715C2214yescomplemented
121#15689713C2212yescomplemented
122#15689711C2212yescomplemented
123#15689710C2212yescomplemented
124#15689708C2214yescomplemented
125#15689706C2214yescomplemented
126#15689700C2214yescomplemented
127#15689700C2214yescomplemented
128#15689695C2214yes—
129#15689695C2214yescomplemented
130#15689688C2214yes—
131#15689688C2214yescomplemented
132#15689685C2212yes—
133#15689682C2212yes—
134#15689682C2212yes—
135#15689679C2212yescomplemented
136#15689677C2212yescomplemented
137#15689676C2212yescomplemented
138#15689675C2212yescomplemented
139#15689675C2212yescomplemented
140#15689675C2212yescomplemented
141#15689675C2212yescomplemented
142#15689675C2212yescomplemented
143#15689675C2212yescomplemented
144#15689675C2212yescomplemented
145#15689675C2212yescomplemented
146#15689675C2212yescomplemented
147#15689672C2212yescomplemented
148#15689670C2212yescomplemented
149#15689669C2212yescomplemented
150#15689668C2212yes—
151#15689668C2212yes—
152#15689668C2212yes—
153#15689668C2212yes—
154#15689668C2212yescomplemented
155#15689668C2212yescomplemented
156#15689668C2212yescomplemented
157#15689668C2212yescomplemented
158#15689668C2212yescomplemented
159#15689668C2214yescomplemented
160#15689668C2214yescomplemented
161C2×#13094023C2211yescharacteristic, complemented
162C2×#13094023C2211yescharacteristic, complemented
163C2×#13094022C2211yescharacteristic, complemented
164C2×#13094020C2211yescharacteristic, complemented
165#15689659C2214yescomplemented
166#15689659C2212yescomplemented
167#15689659C2212yescomplemented
168#15689658C2214yescomplemented
169#15689658C2212yescomplemented
170#15689657C2212yescomplemented
171#15689656C2214yescomplemented
172#15689656C2214yescomplemented
173#15689656C2214yescomplemented
174#15689656C2214yescomplemented
175#15689654C2214yescomplemented
176#15689654C2212yescomplemented
177#15689654C2212yescomplemented
178#15689653C2214yescomplemented
179#15689653C2214yescomplemented
180#15689652C2214yescomplemented
181#15689652C2212yescomplemented
182#15689651C2214yescomplemented
183#15689650C2214yescomplemented
184#15689650C2214yescomplemented
185#15689650C2214yescomplemented
186#15689650C2214yescomplemented
187#15689650C2214yescomplemented
188C2×#13094014C2212yescomplemented
189C2×#13094010C2212yescomplemented
190#15689636C2212yescomplemented
191#15689634C2212yescomplemented
192#15689633C2212yescomplemented
193#15689632C2214yescomplemented
194#15689631C2214yes—
195#15689631C2214yescomplemented
196#15689629C2214yes—
197#15689629C2214yescomplemented
198#15689629C2214yescomplemented
199C2×#13094003C2211yescharacteristic
200C2×#13094001C2212yes—
201C2×#13093998C2211yescharacteristic
202C2×#13093996C2212yes—
203#15689602C2214yescomplemented
204#15689602C2214yescomplemented
205#15689602C2214yescomplemented
206#15689602C2214yescomplemented
207#15689600C2214yescomplemented
208#15689598C2212yes—
209#15689596C2212yes—
210#15689596C2212yes—
211#15689596C2214yescomplemented
212#41×Dic47C2212yescomplemented
213C4×#10625354C2212yescomplemented
214#15689591C2212yescomplemented
215#15689591C2214yescomplemented
216C4×#10625352C2212yes—
217C4×#10625352C2212yes—
218C4×#10625352C2212yes—
219C4×#10625352C2212yes—
220C4×#10625352C2214yescomplemented
221C4×#10625352C2214yescomplemented
222C4×#10625352C2212yescomplemented
223C4×#10625352C2212yescomplemented
224C4×#10625352C2212yescomplemented
225C4×#10625352C2212yescomplemented
226C4×#10625352C2214yescomplemented
227C4×#10625352C2214yescomplemented
228C4×#10625352C2214yescomplemented
229C4×#10625352C2212yescomplemented
230C2×Q8×Dic47C2211yescharacteristic, complemented
231C2×C4×Dic94C2211yescharacteristic, complemented
232C2×#13093989C2211yescharacteristic, complemented
233C2×#13093989C2212yescomplemented
234C2×#13093989C2211yescharacteristic, complemented
235C2×D4×Dic47C2211yescharacteristic
236C2×D4×Dic47C2211yescharacteristic, complemented
237C2×#13093986C2211yescharacteristic, complemented
238C2×C4×C22⋊D47C2211yescharacteristic
239C2×C4×C22⋊D47C2211yescharacteristic, complemented
240C2×(C22⋊D47)⋊C4C2211yescharacteristic
241C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
242C2×(C22⋊D47)⋊C4C2212yescomplemented
243C2×#13093982C2211yescharacteristic, complemented
244C2×#13093980C2211yescharacteristic
245C2×#13093980C2212yes—
246C2×#13093980C2211yescharacteristic, complemented
247C2×#13093980C2214yescomplemented
248#117×D47C2214yescomplemented
249C22×C4×Dic47C2211yescharacteristic
250C22×C4×Dic47C2211yescharacteristic, complemented
251C2×C42×D47C2211yescharacteristic, complemented
252C47×#553C2212yescomplemented
253C47×#553C2214yescomplemented
254C47×#552C2212yescomplemented
255C47×#551C2214yescomplemented
256C47×#548C2212yescomplemented
257C47×#546C2212yescomplemented
258C47×#539C2212yescomplemented
259C47×#538C2212yescomplemented
260C47×#534C2212yes—
261C47×#529C2212yescomplemented
262C47×#525C2212yescomplemented
263C2×C22⋊Q8×C47C2211yescharacteristic
264C2×#121×C47C2211yescharacteristic
265C47×#518C2212yes—
266C2×C4×D4×C47C2211yescharacteristic
267C2×#10625354C2312yes—
268C2×#10625350C2314yes—
269C2×#10625350C2312yes—
270C2×#10625352—28no—
271C2×#10625352—216no—
272C2×#10625352C2312yes—
273C2×#10625352C2312yes—
274C2×#10625352C2314yes—
275C2×#10625352C2312yes—
276C2×#10625352C2314yes—
277C2×#10625352C2312yes—
278C2×#10625352C2314yes—
279C2×#10625352C2314yes—
280C2×#10625352C2314yes—
281C2×#10625352C2312yes—
282C22×Dic94C2311yescharacteristic
283C22×Dic94C2312yes—
284C22×Dic94C2312yes—
285C22×Dic94C2311yescharacteristic
286C22×D188C2311yescharacteristic
287C22×C22⋊D47C2311yescharacteristic
288C22×C22⋊D47C2311yescharacteristic
289C22×C22⋊D47C2312yes—
290C22×C22⋊D47C2312yes—
291C22×C22⋊D47C2312yes—
292C23×Dic47C2311yescharacteristic
293C23×Dic47C2312yes—
294C23×Dic47C2311yescharacteristic
295C23×Dic47C2311yescharacteristic
296C23×Dic47C2311yescharacteristic
297C22×C4×D47C2311yescharacteristic
298C22×C4×D47C2312yes—
299C22×C4×D47C2311yescharacteristic
300C22×C4×D47C2311yescharacteristic
301#13094023C2312yes—
302#13094023C2312yes—
303#13094023C2312yes—
304#13094023C2312yes—
305#13094023C2312yes—
306#13094023C2314yes—
307#13094023C2314yes—
308#13094023C2312yes—
309#13094023C2312yes—
310#13094023C2312yes—
311#13094022C2312yes—
312#13094022C2312yes—
313#13094022C2312yes—
314#13094022C2312yes—
315#13094020C2314yes—
316#13094020C2312yes—
317#13094020C2312yes—
318#13094020C2314yes—
319#13094020C2312yes—
320#13094020C2312yes—
321#13094019C2314yes—
322#13094019C2314yes—
323#13094019C2314yes—
324#13094019C2314yes—
325#13094019C2314yes—
326#13094019C2314yes—
327#13094019C2314yes—
328#13094019C2314yes—
329#13094019C2314yes—
330#13094018C2314yes—
331#13094018C2314yes—
332#13094018C2314yes—
333#13094017C2314yes—
334#13094017C2314yes—
335#13094017C2314yes—
336#13094017C2314yes—
337#13094017C2314yes—
338#13094017C2314yes—
339#13094017C2314yes—
340#13094017C2314yes—
341#13094017C2314yes—
342#13094016C2314yes—
343#13094016C2312yes—
344#13094015C2314yes—
345#13094015C2314yes—
346#13094015C2312yes—
347#13094015C2312yes—
348#13094014C2314yes—
349#13094014C2314yes—
350#13094014C2314yes—
351#13094014C2314yes—
352#13094014C2314yes—
353#13094014C2314yes—
354#13094014C2314yes—
355#13094014C2314yes—
356#13094014C2314yes—
357#13094014C2314yes—
358#13094013C2314yes—
359#13094013C2312yes—
360#13094012C2314yes—
361#13094012C2312yes—
362#13094011C2314yes—
363#13094011C2312yes—
364#13094010C2314yes—
365#13094010C2314yes—
366#13094010C2314yes—
367#13094010C2314yes—
368#13094010C2314yes—
369#13094010C2314yes—
370#13094010C2314yes—
371#13094010C2314yes—
372#13094010C2314yes—
373#13094010C2314yes—
374#13094010C2314yes—
375#13094010C2314yes—
376#13094010C2314yes—
377#13094010C2314yes—
378#13094009C2314yes—
379#13094009C2314yes—
380#13094009C2314yes—
381#13094009C2314yes—
382#13094009C2314yes—
383#13094009C2314yes—
384#13094008C2314yes—
385#13094008C2314yes—
386#13094008C2314yes—
387#13094008C2314yes—
388#13094008C2314yes—
389#13094007C2314yes—
390#13094007C2314yes—
391#13094007C2314yes—
392#13094007C2314yes—
393#13094007C2314yes—
394#13094006C2314yes—
395#13094006C2314yes—
396#13094006C2314yes—
397#13094006C2314yes—
398#13094006C2314yes—
399#13094006C2314yes—
400#13094005C2314yes—
401#13094005C2314yes—
402#13094005C2314yes—
403#13094005C2314yes—
404#13094005C2314yes—
405#13094004C2314yes—
406#13094004C2312yes—
407#13094003C2314yes—
408#13094003C2312yes—
409#13094003C2312yes—
410#13094003C2312yes—
411#13094003C2312yes—
412#13094003C2312yes—
413#13094002C2314yes—
414#13094002C2314yes—
415#13094002C2314yes—
416#13094002C2314yes—
417#13094002C2314yes—
418#13094002C2314yes—
419#13094002C2314yes—
420#13094001C2314yes—
421#13094001C2314yes—
422#13094001C2314yes—
423#13094001C2314yes—
424#13094001C2314yes—
425#13094001C2314yes—
426#13094001C2314yes—
427#13094001C2314yes—
428#13094001C2314yes—
429#13094001C2314yes—
430#13094001C2314yes—
431#13094000C2314yes—
432#13094000C2312yes—
433#13093999C2314yes—
434#13093999C2312yes—
435#13093998C2314yes—
436#13093998C2312yes—
437#13093998C2312yes—
438#13093998C2314yes—
439#13093998C2314yes—
440#13093998C2312yes—
441#13093998C2312yes—
442#13093998C2312yes—
443#13093997C2314yes—
444#13093997C2314yes—
445#13093997C2314yes—
446#13093997C2314yes—
447#13093997C2314yes—
448#13093997C2314yes—
449#13093997C2314yes—
450#13093996C2314yes—
451#13093996C2314yes—
452#13093996C2314yes—
453#13093996C2314yes—
454#13093996C2314yes—
455#13093996C2314yes—
456#13093996C2314yes—
457#13093996C2314yes—
458#13093996C2314yes—
459#13093996C2314yes—
460#13093996C2314yes—
461#13093996C2314yes—
462#13093996C2314yes—
463#13093996C2314yes—
464#13093996C2314yes—
465#13093995C2314yes—
466#13093995C2312yes—
467#13093994C2314yes—
468#13093994C2314yes—
469#13093993C2314yes—
470#13093993C2314yes—
471#13093992C2314yes—
472#13093992C2314yes—
473Q8×Dic47C2312yes—
474Q8×Dic47C2312yes—
475Q8×Dic47C2312yes—
476Q8×Dic47C2312yes—
477Q8×Dic47C2312yes—
478C4×Dic94C2314yes—
479C4×Dic94C2314yes—
480C4×Dic94C2314yes—
481C4×Dic94C2312yes—
482C4×Dic94C2312yes—
483C4×Dic94C2312yes—
484C4×Dic94C2312yes—
485C4×Dic94C2314yes—
486C4×Dic94C2314yes—
487C4×Dic94C2312yes—
488#13093989C2314yes—
489#13093989C2314yes—
490#13093989C2312yes—
491#13093989C2314yes—
492#13093989C2314yes—
493#13093989C2312yes—
494#13093989C2312yes—
495#13093989C2312yes—
496#13093989C2312yes—
497#13093989C2312yes—
498#13093989C2314yes—
499#13093989C2314yes—
500#13093989C2312yes—
501#13093989C2314yes—
502#13093989C2312yes—
503#13093989C2312yes—
504#13093989C2314yes—
505#13093989C2314yes—
506C4×D188C2312yes—
507C4×D188C2314yes—
508D4×Dic47C2312yes—
509D4×Dic47C2312yes—
510D4×Dic47C2312yes—
511D4×Dic47C2312yes—
512D4×Dic47C2314yes—
513D4×Dic47C2314yes—
514D4×Dic47C2312yes—
515D4×Dic47C2314yes—
516D4×Dic47C2312yes—
517D4×Dic47C2312yes—
518D4×Dic47C2312yes—
519D4×Dic47C2312yes—
520D4×Dic47C2314yes—
521D4×Dic47C2314yes—
522D4×Dic47C2314yes—
523D4×Dic47C2314yes—
524#13093986C2312yes—
525#13093986C2312yes—
526#13093986C2314yes—
527#13093986C2312yes—
528#13093986C2312yes—
529#13093986C2312yes—
530#13093986C2314yes—
531#13093986C2314yes—
532C4×C22⋊D47C2314yes—
533C4×C22⋊D47C2314yes—
534C4×C22⋊D47C2314yes—
535C4×C22⋊D47C2312yes—
536C4×C22⋊D47C2312yes—
537C4×C22⋊D47C2312yes—
538C4×C22⋊D47C2314yes—
539C4×C22⋊D47C2314yes—
540C4×C22⋊D47C2312yes—
541C4×C22⋊D47C2314yes—
542C4×C22⋊D47C2314yes—
543C4×C22⋊D47C2312yes—
544C4×C22⋊D47C2314yes—
545C4×C22⋊D47C2314yes—
546C4×C22⋊D47C2312yes—
547C4×C22⋊D47C2312yes—
548C4×C22⋊D47C2312yes—
549C4×C22⋊D47C2314yes—
550C4×C22⋊D47C2314yes—
551(C22⋊D47)⋊C4C2314yes—
552(C22⋊D47)⋊C4C2314yes—
553(C22⋊D47)⋊C4C2314yes—
554(C22⋊D47)⋊C4C2312yes—
555(C22⋊D47)⋊C4C2312yes—
556(C22⋊D47)⋊C4C2314yes—
557(C22⋊D47)⋊C4C2312yes—
558(C22⋊D47)⋊C4C2314yes—
559(C22⋊D47)⋊C4C2314yes—
560(C22⋊D47)⋊C4C2312yes—
561(C22⋊D47)⋊C4C2314yes—
562(C22⋊D47)⋊C4C2314yes—
563(C22⋊D47)⋊C4C2314yes—
564(C22⋊D47)⋊C4C2312yes—
565(C22⋊D47)⋊C4C2314yes—
566(C22⋊D47)⋊C4C2314yes—
567(C22⋊D47)⋊C4C2312yes—
568(C22⋊D47)⋊C4C2312yes—
569(C22⋊D47)⋊C4C2312yes—
570(C22⋊D47)⋊C4C2314yes—
571(C22⋊D47)⋊C4C2314yes—
572(C22⋊D47)⋊C4C2314yes—
573(C22⋊D47)⋊C4C2314yes—
574(C22⋊D47)⋊C4C2314yes—
575(C22⋊D47)⋊C4C2314yes—
576(C22⋊D47)⋊C4C2314yes—
577(C22⋊D47)⋊C4C2314yes—
578#13093983C2314yes—
579#13093983C2314yes—
580#13093983C2312yes—
581#13093982C2312yes—
582#13093982C2312yes—
583#13093982C2314yes—
584#13093982C2314yes—
585#13093982C2312yes—
586#13093982C2312yes—
587#13093982C2314yes—
588#13093982C2314yes—
589#13093982C2312yes—
590#13093982C2312yes—
591#13093981C2314yes—
592#13093981C2314yes—
593#13093981C2314yes—
594#13093981C2314yes—
595#13093981C2314yes—
596#13093980C2312yes—
597#13093980C2312yes—
598#13093980C2314yes—
599#13093980C2314yes—
600#13093980C2314yes—
601#13093980C2314yes—
602#13093980C2314yes—
603#13093980C2314yes—
604#13093980C2314yes—
605#13093980C2312yes—
606#13093980C2314yes—
607#13093980C2312yes—
608#13093980C2312yes—
609#13093980C2312yes—
610#13093980C2314yes—
611#13093980C2314yes—
612#13093980C2314yes—
613#13093980C2312yes—
614#13093980C2312yes—
615#13093980C2314yes—
616#13093980C2314yes—
617C2×C4⋊Dic47C2311yescharacteristic
618C2×C4⋊Dic47C2312yes—
619C2×C4⋊Dic47C2311yescharacteristic
620C2×C4⋊Dic47C2311yescharacteristic
621C2×Dic47⋊C4C2314yes—
622C2×Dic47⋊C4C2314yes—
623C2×Dic47⋊C4C2312yes—
624C2×Dic47⋊C4C2312yes—
625C2×Dic47⋊C4C2312yes—
626C2×Dic47⋊C4C2312yes—
627C2×Dic47⋊C4C2311yescharacteristic
628C2×Dic47⋊C4C2311yescharacteristic
629C2×Dic47⋊C4C2312yes—
630C2×Dic47⋊C4C2312yes—
631C2×Dic47⋊C4C2311yescharacteristic
632C2×Dic47⋊C4C2311yescharacteristic
633C4⋊C4×D47C2314yes—
634C4⋊C4×D47C2314yes—
635C2×C22⋊Dic47C2314yes—
636C2×C22⋊Dic47C2312yes—
637C2×C22⋊Dic47C2311yescharacteristic
638C2×C22⋊Dic47C2312yes—
639C2×C22⋊Dic47C2311yescharacteristic
640C2×(C2×D47)⋊C4C2312yes—
641C2×(C2×D47)⋊C4C2312yes—
642C2×(C2×D47)⋊C4C2311yescharacteristic
643C2×(C2×D47)⋊C4C2311yescharacteristic
644C22⋊C4×D47C2314yes—
645C22⋊C4×D47C2314yes—
646C2×C4×Dic47C2311yescharacteristic
647C2×C4×Dic47C2311yescharacteristic
648C2×C4×Dic47C2311yescharacteristic
649C2×C4×Dic47C2311yescharacteristic
650C2×C4×Dic47C2311yescharacteristic
651C2×C4×Dic47C2311yescharacteristic
652C2×C4×Dic47C2311yescharacteristic
653C2×C4×Dic47C2311yescharacteristic
654C2×C4×Dic47C2311yescharacteristic
655C2×C4×Dic47C2311yescharacteristic
656C2×C4×Dic47C2311yescharacteristic
657C2×C4×Dic47C2311yescharacteristic
658C2×C4×Dic47C2311yescharacteristic
659C2×C4×Dic47C2311yescharacteristic
660C2×C4×Dic47C2311yescharacteristic
661C2×C4×Dic47C2311yescharacteristic
662C2×C4×Dic47C2311yescharacteristic
663C2×C4×Dic47C2312yes—
664C2×C4×Dic47C2312yes—
665C2×C4×Dic47C2312yes—
666C2×C4×Dic47C2312yes—
667C2×C4×Dic47C2312yes—
668C2×C4×Dic47C2312yes—
669C2×C4×Dic47C2314yes—
670C2×C4×Dic47C2314yes—
671C42×D47C2312yes—
672C42×D47C2312yes—
673C42×D47C2312yes—
674C42×D47C2312yes—
675C42×D47C2314yes—
676C42×D47C2314yes—
677C2×#41×C47C2312yes—
678C22×Q8×C47C2311yescharacteristic
679C22×D4×C47C2311yescharacteristic
680C22×D4×C47C2312yes—
681C22×D4×C47C2311yescharacteristic
682C23×C4×C47C2311yescharacteristic
683C23×C4×C47C2311yescharacteristic
684#126×C47C2314yes—
685#126×C47C2314yes—
686#126×C47C2314yes—
687#125×C47C2314yes—
688#125×C47C2312yes—
689#124×C47C2314yes—
690#124×C47C2312yes—
691#123×C47C2314yes—
692#123×C47C2314yes—
693#123×C47C2314yes—
694#123×C47C2314yes—
695#123×C47C2314yes—
696C22⋊Q8×C47C2314yes—
697C22⋊Q8×C47C2312yes—
698C22⋊Q8×C47C2312yes—
699C22⋊Q8×C47C2312yes—
700C22⋊Q8×C47C2312yes—
701C22⋊Q8×C47C2312yes—
702#121×C47C2312yes—
703#121×C47C2314yes—
704#121×C47C2312yes—
705#121×C47C2314yes—
706#121×C47C2312yes—
707#121×C47C2312yes—
708#121×C47C2312yes—
709#121×C47C2314yes—
710#120×C47C2314yes—
711#120×C47C2314yes—
712C4×Q8×C47C2312yes—
713C4×D4×C47C2312yes—
714C4×D4×C47C2312yes—
715C4×D4×C47C2314yes—
716C4×D4×C47C2312yes—
717C4×D4×C47C2312yes—
718C4×D4×C47C2314yes—
719C4×D4×C47C2314yes—
720C4×D4×C47C2314yes—
721C4×D4×C47C2314yes—
722C4×D4×C47C2312yes—
723#117×C47C2314yes—
724#117×C47C2312yes—
725#117×C47C2314yes—
726C2×C4⋊C4×C47C2311yescharacteristic
727C2×C4⋊C4×C47C2311yescharacteristic
728C2×C4⋊C4×C47C2312yes—
729C2×C4⋊C4×C47C2311yescharacteristic
730C2×C22⋊C4×C47C2314yes—
731C2×C22⋊C4×C47C2311yescharacteristic
732C2×C22⋊C4×C47C2311yescharacteristic
733C2×C22⋊C4×C47C2312yes—
734C2×C22⋊C4×C47C2312yes—
735C2×C42×C47C2311yescharacteristic
736C24×C47C2412yes—
737C24×C47C2411yescharacteristic
738C24×C47C2411yescharacteristic
739C23×D47C2412yes—
740C23×D47C2411yescharacteristic
741#41×C47—44no—
742C2×Q8×C47—42no—
743C2×Q8×C47C2412yes—
744C2×Q8×C47C2412yes—
745C2×D4×C47—24no—
746C2×D4×C47—28no—
747C2×D4×C47—42no—
748C2×D4×C47C2412yes—
749C2×D4×C47C2414yes—
750C2×D4×C47C2412yes—
751C2×D4×C47C2414yes—
752C2×D4×C47C2412yes—
753C2×D4×C47C2414yes—
754C2×D4×C47C2414yes—
755C2×D4×C47C2412yes—
756C22×C4×C47—42no—
757C22×C4×C47—42no—
758C22×C4×C47C2411yescharacteristic
759C22×C4×C47C2411yescharacteristic
760C22×C4×C47C2412yes—
761C22×C4×C47C2411yescharacteristic
762C22×C4×C47C2411yescharacteristic
763C22×C4×C47C2412yes—
764C22×C4×C47C2411yescharacteristic
765C22×C4×C47C2411yescharacteristic
766C22×C4×C47C2412yes—
767C22×C4×C47C2411yescharacteristic
768C22×C4×C47C2412yes—
769C22×C4×C47C2411yescharacteristic
770C22×C4×C47C2414yes—
771C22×C4×C47C2414yes—
772C22×C4×C47C2411yescharacteristic
773C22×C4×C47C2412yes—
774C2×C22⋊D47—24no—
775C2×C22⋊D47—28no—
776C2×C22⋊D47—28no—
777C2×C22⋊D47—24no—
778C2×C22⋊D47—44no—
779C2×C22⋊D47C2414yes—
780C2×C22⋊D47C2412yes—
781C2×C22⋊D47C2414yes—
782C2×C22⋊D47C2412yes—
783C2×C22⋊D47C2412yes—
784C2×C22⋊D47C2414yes—
785C2×C22⋊D47C2414yes—
786C2×C22⋊D47C2412yes—
787C2×C22⋊D47C2414yes—
788C2×C22⋊D47C2414yes—
789C2×C22⋊D47C2414yes—
790C2×C22⋊D47C2414yes—
791C2×C22⋊D47C2414yes—
792C2×C22⋊D47C2414yes—
793C22×Dic47—28no—
794C22×Dic47—24no—
795C22×Dic47—42no—
796C22×Dic47—42no—
797C22×Dic47#4118yescomplemented
798C22×Dic47C2411yescharacteristic
799C22×Dic47C2411yescharacteristic
800C22×Dic47C2411yescharacteristic
801C22×Dic47C2411yescharacteristic
802C22×Dic47C2412yes—
803C22×Dic47C2414yes—
804C22×Dic47C2412yes—
805C22×Dic47C2412yes—
806C22×Dic47C2412yes—
807C22×Dic47C2414yes—
808C22×Dic47C2411yescharacteristic
809C22×Dic47C2411yescharacteristic
810C22×Dic47C2411yescharacteristic
811C22×Dic47C2411yescharacteristic
812C22×Dic47C2411yescharacteristic
813C22×Dic47C2412yes—
814C22×Dic47C2412yes—
815C22×Dic47C2412yes—
816C22×Dic47C2414yes—
817C22×Dic47C2414yes—
818C22×Dic47C2411yescharacteristic
819C22×Dic47C2411yescharacteristic
820C22×Dic47C2411yescharacteristic
821C22×Dic47C2411yescharacteristic
822C22×Dic47C2411yescharacteristic
823C22×Dic47C2411yescharacteristic
824#10625354—44no—
825#10625352—28no—
826#10625352—216no—
827#10625352—28no—
828#10625352—216no—
829#10625352—28no—
830#10625352—216no—
831#10625352—28no—
832#10625352—216no—
833#10625352—44no—
834#10625352—48no—
835#10625350—48no—
836#10625350—44no—
837C2×D188—42no—
838C2×D188C2412yes—
839C2×D188C2414yes—
840C2×D188C2412yes—
841C2×D188C2414yes—
842C2×C4×D47—28no—
843C2×C4×D47—24no—
844C2×C4×D47—42no—
845C2×C4×D47—42no—
846C2×C4×D47C2412yes—
847C2×C4×D47C2412yes—
848C2×C4×D47C2414yes—
849C2×C4×D47C2412yes—
850C2×C4×D47C2412yes—
851C2×C4×D47C2414yes—
852C2×C4×D47C2412yes—
853C2×C4×D47C2412yes—
854C2×C4×D47C2414yes—
855C2×C4×D47C2414yes—
856C2×C4×D47C2414yes—
857C2×C4×D47C2414yes—
858C2×Dic94—28no—
859C2×Dic94—24no—
860C2×Dic94—44no—
861C2×Dic94—42no—
862C2×Dic94C2414yes—
863C2×Dic94C2412yes—
864C2×Dic94C2412yes—
865C2×Dic94C2414yes—
866C2×Dic94C2412yes—
867C2×Dic94C2414yes—
868C2×Dic94C2414yes—
869C2×Dic94C2412yes—
870C4⋊C4×C47C2412yes—
871C4⋊C4×C47C2414yes—
872C4⋊C4×C47C2412yes—
873C4⋊C4×C47C2412yes—
874C4⋊C4×C47C2412yes—
875C4⋊C4×C47C2412yes—
876C4⋊C4×C47C2414yes—
877C4⋊C4×C47C2412yes—
878C4⋊C4×C47C2414yes—
879C4⋊C4×C47C2414yes—
880C4⋊C4×C47C2414yes—
881C4⋊C4×C47C2414yes—
882C22⋊C4×C47C2412yes—
883C22⋊C4×C47C2414yes—
884C22⋊C4×C47C2414yes—
885C22⋊C4×C47C2412yes—
886C22⋊C4×C47C2414yes—
887C22⋊C4×C47C2412yes—
888C22⋊C4×C47C2414yes—
889C22⋊C4×C47C2414yes—
890C22⋊C4×C47C2412yes—
891C22⋊C4×C47C2414yes—
892C22⋊C4×C47C2414yes—
893C22⋊C4×C47C2414yes—
894C22⋊C4×C47C2414yes—
895C22⋊C4×C47C2414yes—
896C42×C47C2412yes—
897C42×C47C2412yes—
898C42×C47C2414yes—
899C42×C47C2414yes—
900C22⋊Dic47C2412yes—
901C22⋊Dic47C2414yes—
902C22⋊Dic47C2412yes—
903C22⋊Dic47C2414yes—
904C22⋊Dic47C2412yes—
905C22⋊Dic47C2414yes—
906C22⋊Dic47C2414yes—
907C22⋊Dic47C2412yes—
908C22⋊Dic47C2414yes—
909C22⋊Dic47C2414yes—
910C22⋊Dic47C2414yes—
911C22⋊Dic47C2414yes—
912C22⋊Dic47C2414yes—
913C22⋊Dic47C2414yes—
914(C2×D47)⋊C4C2414yes—
915(C2×D47)⋊C4C2414yes—
916(C2×D47)⋊C4C2414yes—
917(C2×D47)⋊C4C2414yes—
918(C2×D47)⋊C4C2414yes—
919(C2×D47)⋊C4C2414yes—
920(C2×D47)⋊C4C2412yes—
921(C2×D47)⋊C4C2412yes—
922(C2×D47)⋊C4C2412yes—
923(C2×D47)⋊C4C2412yes—
924(C2×D47)⋊C4C2414yes—
925(C2×D47)⋊C4C2414yes—
926(C2×D47)⋊C4C2414yes—
927(C2×D47)⋊C4C2414yes—
928(C2×D47)⋊C4C2414yes—
929(C2×D47)⋊C4C2414yes—
930(C2×D47)⋊C4C2414yes—
931(C2×D47)⋊C4C2414yes—
932(C2×D47)⋊C4C2414yes—
933(C2×D47)⋊C4C2414yes—
934C4⋊Dic47C2414yes—
935C4⋊Dic47C2414yes—
936C4⋊Dic47C2412yes—
937C4⋊Dic47C2412yes—
938C4⋊Dic47C2412yes—
939C4⋊Dic47C2412yes—
940C4⋊Dic47C2414yes—
941C4⋊Dic47C2412yes—
942C4⋊Dic47C2414yes—
943C4⋊Dic47C2412yes—
944C4⋊Dic47C2414yes—
945C4⋊Dic47C2414yes—
946Dic47⋊C4C2412yes—
947Dic47⋊C4C2412yes—
948Dic47⋊C4C2414yes—
949Dic47⋊C4C2414yes—
950Dic47⋊C4C2412yes—
951Dic47⋊C4C2412yes—
952Dic47⋊C4C2412yes—
953Dic47⋊C4C2412yes—
954Dic47⋊C4C2414yes—
955Dic47⋊C4C2414yes—
956Dic47⋊C4C2414yes—
957Dic47⋊C4C2414yes—
958Dic47⋊C4C2414yes—
959Dic47⋊C4C2414yes—
960Dic47⋊C4C2412yes—
961Dic47⋊C4C2412yes—
962Dic47⋊C4C2414yes—
963Dic47⋊C4C2414yes—
964Dic47⋊C4C2414yes—
965Dic47⋊C4C2414yes—
966Dic47⋊C4C2414yes—
967Dic47⋊C4C2414yes—
968Dic47⋊C4C2414yes—
969Dic47⋊C4C2414yes—
970Dic47⋊C4C2414yes—
971Dic47⋊C4C2414yes—
972Dic47⋊C4C2414yes—
973Dic47⋊C4C2414yes—
974C4×Dic47C2412yes—
975C4×Dic47C2412yes—
976C4×Dic47C2411yescharacteristic
977C4×Dic47C2411yescharacteristic
978C4×Dic47C2411yescharacteristic
979C4×Dic47C2411yescharacteristic
980C4×Dic47C2412yes—
981C4×Dic47C2412yes—
982C4×Dic47C2412yes—
983C4×Dic47C2414yes—
984C4×Dic47C2414yes—
985C4×Dic47C2414yes—
986C4×Dic47C2414yes—
987C4×Dic47C2411yescharacteristic
988C4×Dic47C2412yes—
989C4×Dic47C2412yes—
990C4×Dic47C2411yescharacteristic
991C4×Dic47C2411yescharacteristic
992C4×Dic47C2411yescharacteristic
993C4×Dic47C2412yes—
994C4×Dic47C2411yescharacteristic
995C4×Dic47C2411yescharacteristic
996C4×Dic47C2412yes—
997C4×Dic47C2411yescharacteristic
998C4×Dic47C2411yescharacteristic
999C4×Dic47C2411yescharacteristic
1000C4×Dic47C2411yescharacteristic
1001C4×Dic47C2412yes—
1002C4×Dic47C2411yescharacteristic
1003C4×Dic47C2411yescharacteristic
1004C4×Dic47C2414yes—
1005C4×Dic47C2414yes—
1006C4×Dic47C2414yes—
1007C4×Dic47C2414yes—
1008C4×Dic47C2414yes—
1009C4×Dic47C2414yes—
1010C23×C47—22no—
1011C23×C47—24no—
1012C23×C47—41no—
1013C23×C47—41no—
1014C23×C47—41no—
1015C23×C47—41no—
1016C23×C47—42no—
1017C23×C47—42no—
1018C23×C47C2×#4114yes—
1019C23×C47C2512yes—
1020C23×C47C2514yes—
1021C23×C47C2511yescharacteristic
1022C23×C47C2511yescharacteristic
1023C23×C47C2511yescharacteristic
1024C22×D47—22no—
1025C22×D47—24no—
1026C22×D47—41no—
1027C22×D47—41no—
1028C22×D47—42no—
1029C22×D47—42no—
1030C22×D47C2512yes—
1031C22×D47C2514yes—
1032Q8×C47—24no—
1033Q8×C47—42no—
1034D4×C47—24no—
1035D4×C47—28no—
1036D4×C47—24no—
1037D4×C47—28no—
1038D4×C47—24no—
1039D4×C47—44no—
1040D4×C47—42no—
1041D4×C47—44no—
1042C2×C4×C47—24no—
1043C2×C4×C47—22no—
1044C2×C4×C47—22no—
1045C2×C4×C47—22no—
1046C2×C4×C47—22no—
1047C2×C4×C47—24no—
1048C2×C4×C47—42no—
1049C2×C4×C47—41no—
1050C2×C4×C47—44no—
1051C2×C4×C47—41no—
1052C2×C4×C47—41no—
1053C2×C4×C47—41no—
1054C2×C4×C47—42no—
1055C2×C4×C47—41no—
1056C2×C4×C47—42no—
1057C2×C4×C47—44no—
1058C2×C4×C47C2512yes—
1059C2×C4×C47C2511yescharacteristic
1060C2×C4×C47C2511yescharacteristic
1061C2×C4×C47C2512yes—
1062C2×C4×C47C2511yescharacteristic
1063C2×C4×C47C2514yes—
1064C2×C4×C47C2514yes—
1065C2×C4×C47C2512yes—
1066C2×C4×C47C2514yes—
1067C2×C4×C47C2511yescharacteristic
1068C22⋊D47—24no—
1069C22⋊D47—28no—
1070C22⋊D47—24no—
1071C22⋊D47—28no—
1072C22⋊D47—24no—
1073C22⋊D47—28no—
1074C22⋊D47—28no—
1075C22⋊D47—24no—
1076C22⋊D47—28no—
1077C22⋊D47—44no—
1078C22⋊D47—44no—
1079C22⋊D47—44no—
1080C22⋊D47—44no—
1081C22⋊D47—44no—
1082C2×Dic47—24no—
1083C2×Dic47—22no—
1084C2×Dic47—24no—
1085C2×Dic47—28no—
1086C2×Dic47—24no—
1087C2×Dic47—28no—
1088C2×Dic47—22no—
1089C2×Dic47—22no—
1090C2×Dic47—24no—
1091C2×Dic47—22no—
1092C2×Dic47—42no—
1093C2×Dic47—42no—
1094C2×Dic47—41no—
1095C2×Dic47—44no—
1096C2×Dic47—44no—
1097C2×Dic47—41no—
1098C2×Dic47—41no—
1099C2×Dic47—41no—
1100C2×Dic47—42no—
1101C2×Dic47—41no—
1102C2×Dic47C2×#4114yes—
1103C2×Dic47C2×#4114yes—
1104C2×Dic47C2×#4114yes—
1105C2×Dic47C2×#4114yes—
1106C2×Dic47C2×#4114yes—
1107C2×Dic47C2×#4114yes—
1108C2×Dic47C2512yes—
1109C2×Dic47C2512yes—
1110C2×Dic47C2511yescharacteristic
1111C2×Dic47C2514yes—
1112C2×Dic47C2511yescharacteristic
1113C2×Dic47C2512yes—
1114C2×Dic47C2514yes—
1115C2×Dic47C2514yes—
1116C2×Dic47C2511yescharacteristic
1117C2×Dic47C2511yescharacteristic
1118C2×Dic47C2511yescharacteristic
1119C2×Dic47C2511yescharacteristic
1120C2×Dic47C2511yescharacteristic
1121C2×Dic47C2511yescharacteristic
1122D188—24no—
1123D188—42no—
1124D188—44no—
1125D188—44no—
1126C4×D47—24no—
1127C4×D47—24no—
1128C4×D47—28no—
1129C4×D47—24no—
1130C4×D47—28no—
1131C4×D47—24no—
1132C4×D47—42no—
1133C4×D47—42no—
1134C4×D47—44no—
1135C4×D47—44no—
1136C4×D47—44no—
1137C4×D47—44no—
1138Dic94—24no—
1139Dic94—28no—
1140Dic94—24no—
1141Dic94—28no—
1142Dic94—24no—
1143Dic94—28no—
1144Dic94—42no—
1145Dic94—44no—
1146#62815—471nomaximal, Sylow
1147C22×C47—21no—
1148C22×C47—21no—
1149C22×C47—21no—
1150C22×C47—21no—
1151C22×C47—21no—
1152C22×C47—21no—
1153C22×C47—22no—
1154C22×C47—24no—
1155C22×C47—22no—
1156C22×C47—24no—
1157C22×C47—24no—
1158C22×C47—22no—
1159C22×C47—44no—
1160C22×C47—44no—
1161C22×C47—84no—
1162C22×C47C22×#4112yes—
1163C22×C47C22×#4112yes—
1164C22×C47C22×#4112yes—
1165C22×C47C2611yescharacteristic
1166C2×D47—22no—
1167C2×D47—24no—
1168C2×D47—22no—
1169C2×D47—22no—
1170C2×D47—24no—
1171C2×D47—24no—
1172C2×D47—44no—
1173C2×D47—84no—
1174C4×C47—24no—
1175C4×C47—22no—
1176C4×C47—24no—
1177C4×C47—21no—
1178C4×C47—22no—
1179C4×C47—21no—
1180C4×C47—22no—
1181C4×C47—24no—
1182C4×C47—21no—
1183C4×C47#58512yes—
1184Dic47—24no—
1185Dic47—22no—
1186Dic47—24no—
1187Dic47—24no—
1188Dic47—21no—
1189Dic47—22no—
1190Dic47—21no—
1191Dic47—22no—
1192Dic47—21no—
1193Dic47C22×#4112yes—
1194Dic47C22×#4112yes—
1195Dic47C22×#4112yes—
1196Dic47C22×#4112yes—
1197Dic47#58512yes—
1198#3512—474no—
1199#3511—472no—
1200#3511—472no—
1201#3510—474no—
1202#3509—472no—
1203#3508—472no—
1204#3507—472no—
1205#3507—472no—
1206#3506—472no—
1207#3506—472no—
1208#3505—472no—
1209#3505—471no—
1210#3505—471no—
1211#3505—472no—
1212#3505—471no—
1213#3505D4711yescharacteristic, complemented
1214#3480—474no—
1215#3480—472no—
1216#3480—472no—
1217#3475—472no—
1218#3475—474no—
1219#3475—472no—
1220#3455—472no—
1221#3455—472no—
1222#3449—472no—
1223#3444—472no—
1224#3444—472no—
1225C2×#533—471no—
1226C2×#532—471no—
1227#3428—472no—
1228C2×C4×#41—471no—
1229C2×C47—22no—
1230C2×C47—22no—
1231C2×C47—22no—
1232C2×C47—42no—
1233C2×C47—44no—
1234C2×C47C23×#4111yescharacteristic
1235C2×C47C2×#58511yescharacteristic
1236C2×C47C2×#58511yescharacteristic
1237D47—42no—
1238D47—44no—
1239C22×#41—471no—
1240C22×#41—472no—
1241#559—474no—
1242#559—472no—
1243#559—474no—
1244#559—474no—
1245#559—474no—
1246#559—474no—
1247#559—472no—
1248#557—474no—
1249#557—472no—
1250#557—472no—
1251#556—474no—
1252#556—474no—
1253#556—474no—
1254#556—474no—
1255#556—472no—
1256#556—472no—
1257#556—474no—
1258#556—472no—
1259#556—472no—
1260#556—474no—
1261#555—474no—
1262#555—472no—
1263#555—472no—
1264#554—472no—
1265#554—474no—
1266#554—472no—
1267#553—474no—
1268#553—474no—
1269#553—474no—
1270#553—474no—
1271#553—474no—
1272#553—474no—
1273#553—472no—
1274#553—474no—
1275#553—472no—
1276#553—474no—
1277#553—474no—
1278#553—474no—
1279#553—474no—
1280#553—474no—
1281#553—472no—
1282#553—474no—
1283#553C2×D4712yescomplemented
1284#553C2×D4714yescomplemented
1285#552—474no—
1286#552—474no—
1287#552—474no—
1288#552—474no—
1289#552—472no—
1290#552—472no—
1291#552—474no—
1292#552—474no—
1293#552—472no—
1294#552C2×D4712yescomplemented
1295#551—474no—
1296#551—474no—
1297#551—474no—
1298#551—474no—
1299#551—474no—
1300#551—474no—
1301#551—474no—
1302#551C2×D4714yescomplemented
1303#550—472no—
1304#550—472no—
1305#550—474no—
1306#548—472no—
1307#548—474no—
1308#548—472no—
1309#548—474no—
1310#548—472no—
1311#548C2×D4712yescomplemented
1312#547—472no—
1313#547—474no—
1314#547—472no—
1315#546—472no—
1316#546—472no—
1317#546—474no—
1318#546—472no—
1319#546—474no—
1320#546C2×D4712yescomplemented
1321#542—474no—
1322#542—474no—
1323#542—474no—
1324#542—474no—
1325#541—474no—
1326#541—474no—
1327#540—474no—
1328#540—474no—
1329#539—474no—
1330#539—472no—
1331#539—472no—
1332#539—474no—
1333#539—472no—
1334#539C2×D4712yescomplemented
1335#538—472no—
1336#538—472no—
1337#538—474no—
1338#538—474no—
1339#538—472no—
1340#538C2×D4712yescomplemented
1341#537—474no—
1342#537—474no—
1343#536—474no—
1344#536—474no—
1345#535—474no—
1346#535—474no—
1347#534—472no—
1348#534—472no—
1349#534—472no—
1350#534C2×D4712yes—
1351#533—472no—
1352#533—472no—
1353#533—472no—
1354#533—472no—
1355#533—472no—
1356#533—472no—
1357#533—472no—
1358#533—472no—
1359#533—472no—
1360#533—472no—
1361#533—472no—
1362#533—472no—
1363#532—472no—
1364#532—472no—
1365#532—472no—
1366#532—472no—
1367#532—472no—
1368#532—472no—
1369#532—472no—
1370#532—472no—
1371#532—472no—
1372#532—472no—
1373#532—472no—
1374#532—474no—
1375#532—474no—
1376#532—472no—
1377C2×C4⋊Q8—471no—
1378C2×C4⋊Q8—471no—
1379C2×C4⋊Q8—471no—
1380C2×#127—471no—
1381#529—474no—
1382#529—474no—
1383#529—474no—
1384#529—474no—
1385#529—472no—
1386#529—474no—
1387#529—472no—
1388#529—474no—
1389#529—474no—
1390#529—474no—
1391#529—474no—
1392#529—474no—
1393#529—474no—
1394#529—472no—
1395#529—472no—
1396#529—474no—
1397#529—472no—
1398#529—472no—
1399#529—474no—
1400#529—474no—
1401#529—474no—
1402#529—474no—
1403#529—472no—
1404#529C2×D4712yescomplemented
1405C2×#125—472no—
1406C2×#124—472no—
1407#525—472no—
1408#525—474no—
1409#525—474no—
1410#525—472no—
1411#525—472no—
1412#525—474no—
1413#525—474no—
1414#525—474no—
1415#525—474no—
1416#525C2×D4712yescomplemented
1417C2×C22⋊Q8—471no—
1418C2×C22⋊Q8—472no—
1419C2×C22⋊Q8C2×D4711yescharacteristic
1420C2×#121—472no—
1421C2×#121—471no—
1422C2×#121C2×D4711yescharacteristic
1423#520—474no—
1424#520—474no—
1425#520—474no—
1426#520—474no—
1427#519—474no—
1428#518—472no—
1429#518—472no—
1430#518—472no—
1431#518—474no—
1432#518C2×D4712yes—
1433C4×#41—472no—
1434C4×#41—472no—
1435C4×#41—472no—
1436C4×#41—472no—
1437C4×#41—472no—
1438C4×#41—472no—
1439C4×#41—472no—
1440C4×#41—472no—
1441C4×#41—472no—
1442C4×#41—472no—
1443C4×#41—474no—
1444C4×#41—474no—
1445C4×#41—474no—
1446C4×#41—474no—
1447C4×#41—472no—
1448C4×#41—474no—
1449C4×#41—474no—
1450C4×#41—472no—
1451C2×C4×Q8—471no—
1452C2×C4×Q8—471no—
1453C2×C4×Q8—471no—
1454C2×C4×Q8—472no—
1455C2×C4×Q8—471no—
1456C2×C4×D4—471no—
1457C2×C4×D4—471no—
1458C2×C4×D4—471no—
1459C2×C4×D4—471no—
1460C2×C4×D4—471no—
1461C2×C4×D4—471no—
1462C2×C4×D4—471no—
1463C2×C4×D4—472no—
1464C2×C4×D4C2×D4711yescharacteristic
1465C2×#117—474no—
1466C2×#117—471no—
1467C2×#117—471no—
1468C2×#117—471no—
1469C2×#117—472no—
1470C2×#117—474no—
1471C22×C42—471no—
1472C22×C42—471no—
1473C22×C42—471no—
1474C47#6281511yescharacteristic, complemented, Sylow
1475C2×#41—472no—
1476C2×#41—472no—
1477C2×#41—474no—
1478C2×#41—472no—
1479C2×#41—474no—
1480C2×#41—472no—
1481C2×#41—472no—
1482C2×#41—474no—
1483C2×#41—474no—
1484C2×#41—474no—
1485C2×#41—472no—
1486C2×#41—474no—
1487C2×#41—472no—
1488C2×#41—948no—
1489C2×#41—9416no—
1490C2×#41C22×D4712yes—
1491C22×Q8—471no—
1492C22×Q8—472no—
1493C22×Q8—472no—
1494C22×Q8—471no—
1495C22×Q8C22×D4711yescharacteristic
1496C22×D4—471no—
1497C22×D4—471no—
1498C22×D4—472no—
1499C22×D4—472no—
1500C22×D4—472no—
1501C22×D4—471no—
1502C22×D4C22×D4711yescharacteristic
1503C22×D4C22×D4712yes—
1504C22×D4C22×D4711yescharacteristic
1505C23×C4—471no—
1506C23×C4—472no—
1507C23×C4—471no—
1508C23×C4—471no—
1509C23×C4—471no—
1510C23×C4—472no—
1511C23×C4—471no—
1512C23×C4—471no—
1513C23×C4—471no—
1514C23×C4C22×D4711yescharacteristic
1515C23×C4C22×D4711yescharacteristic
1516C4⋊Q8—472no—
1517C4⋊Q8—472no—
1518C4⋊Q8—472no—
1519C4⋊Q8—472no—
1520C4⋊Q8—472no—
1521C4⋊Q8—472no—
1522C4⋊Q8—472no—
1523C4⋊Q8—472no—
1524C4⋊Q8—472no—
1525C4⋊Q8—472no—
1526C4⋊Q8—472no—
1527C4⋊Q8—472no—
1528C4⋊Q8—474no—
1529C4⋊Q8—474no—
1530#127—472no—
1531#127—472no—
1532#127—472no—
1533#127—472no—
1534#127—474no—
1535#127—474no—
1536#126—474no—
1537#126—474no—
1538#126—474no—
1539#126—474no—
1540#126—474no—
1541#126—474no—
1542#126—474no—
1543#126—474no—
1544#126—474no—
1545#126—474no—
1546#126—474no—
1547#126—474no—
1548#126—474no—
1549#126—474no—
1550#126—474no—
1551#126—474no—
1552#126—474no—
1553#126—474no—
1554#126—474no—
1555#126—474no—
1556#126—474no—
1557#126C22×D4714yes—
1558#126C22×D4714yes—
1559#126C22×D4714yes—
1560#125—474no—
1561#125—474no—
1562#125—474no—
1563#125—474no—
1564#125—474no—
1565#125—474no—
1566#125—472no—
1567#125—472no—
1568#125—474no—
1569#125—474no—
1570#125—474no—
1571#125—474no—
1572#125—474no—
1573#125—474no—
1574#125—472no—
1575#125—474no—
1576#125C22×D4712yes—
1577#125C22×D4714yes—
1578#124—472no—
1579#124—474no—
1580#124—472no—
1581#124—474no—
1582#124—474no—
1583#124—474no—
1584#124—474no—
1585#124—474no—
1586#124—474no—
1587#124—474no—
1588#124—474no—
1589#124—474no—
1590#124—474no—
1591#124—474no—
1592#124—474no—
1593#124—474no—
1594#124—474no—
1595#124—474no—
1596#124—472no—
1597#124—474no—
1598#124C22×D4712yes—
1599#124C22×D4714yes—
1600#123—474no—
1601#123—474no—
1602#123—474no—
1603#123—474no—
1604#123—474no—
1605#123—474no—
1606#123—474no—
1607#123—474no—
1608#123—474no—
1609#123—474no—
1610#123—474no—
1611#123—474no—
1612#123—474no—
1613#123—474no—
1614#123—474no—
1615#123—474no—
1616#123—474no—
1617#123—474no—
1618#123—474no—
1619#123—474no—
1620#123—474no—
1621#123—474no—
1622#123—474no—
1623#123—474no—
1624#123—474no—
1625#123—474no—
1626#123—474no—
1627#123C22×D4714yes—
1628#123C22×D4714yes—
1629#123C22×D4714yes—
1630#123C22×D4714yes—
1631#123C22×D4714yes—
1632C22⋊Q8—472no—
1633C22⋊Q8—474no—
1634C22⋊Q8—472no—
1635C22⋊Q8—472no—
1636C22⋊Q8—472no—
1637C22⋊Q8—472no—
1638C22⋊Q8—472no—
1639C22⋊Q8—474no—
1640C22⋊Q8—474no—
1641C22⋊Q8—474no—
1642C22⋊Q8—474no—
1643C22⋊Q8—472no—
1644C22⋊Q8—474no—
1645C22⋊Q8—474no—
1646C22⋊Q8—474no—
1647C22⋊Q8—474no—
1648C22⋊Q8—474no—
1649C22⋊Q8—474no—
1650C22⋊Q8—474no—
1651C22⋊Q8—474no—
1652C22⋊Q8—474no—
1653C22⋊Q8—474no—
1654C22⋊Q8—474no—
1655C22⋊Q8—474no—
1656C22⋊Q8—474no—
1657C22⋊Q8—474no—
1658C22⋊Q8—474no—
1659C22⋊Q8—474no—
1660C22⋊Q8C22×D4712yes—
1661C22⋊Q8C22×D4712yes—
1662C22⋊Q8C22×D4712yes—
1663C22⋊Q8C22×D4712yes—
1664C22⋊Q8C22×D4712yes—
1665C22⋊Q8C22×D4714yes—
1666#121—474no—
1667#121—474no—
1668#121—474no—
1669#121—474no—
1670#121—474no—
1671#121—474no—
1672#121—472no—
1673#121—474no—
1674#121—474no—
1675#121—474no—
1676#121—474no—
1677#121—474no—
1678#121—474no—
1679#121—474no—
1680#121—474no—
1681#121—474no—
1682#121—474no—
1683#121—472no—
1684#121—472no—
1685#121—472no—
1686#121—472no—
1687#121—472no—
1688#121—474no—
1689#121—474no—
1690#121—474no—
1691#121—472no—
1692#121—474no—
1693#121—474no—
1694#121—474no—
1695#121—474no—
1696#121—474no—
1697#121—474no—
1698#121—474no—
1699#121—474no—
1700#121C22×D4712yes—
1701#121C22×D4712yes—
1702#121C22×D4712yes—
1703#121C22×D4712yes—
1704#121C22×D4712yes—
1705#121C22×D4714yes—
1706#121C22×D4714yes—
1707#121C22×D4714yes—
1708#120—474no—
1709#120—474no—
1710#120—474no—
1711#120—474no—
1712#120—474no—
1713#120—474no—
1714#120C22×D4714yes—
1715#120C22×D4714yes—
1716C4×Q8—472no—
1717C4×Q8—472no—
1718C4×Q8—472no—
1719C4×Q8—472no—
1720C4×Q8—472no—
1721C4×Q8—474no—
1722C4×Q8—472no—
1723C4×Q8—472no—
1724C4×Q8—472no—
1725C4×Q8—472no—
1726C4×Q8—472no—
1727C4×Q8—472no—
1728C4×Q8—474no—
1729C4×Q8—474no—
1730C4×Q8—472no—
1731C4×Q8—472no—
1732C4×Q8—474no—
1733C4×Q8—474no—
1734C4×Q8—474no—
1735C4×Q8—474no—
1736C4×Q8—474no—
1737C4×Q8—474no—
1738C4×Q8—472no—
1739C4×Q8—472no—
1740C4×Q8—472no—
1741C4×Q8—472no—
1742C4×Q8—472no—
1743C4×Q8—474no—
1744C4×Q8—474no—
1745C4×Q8—474no—
1746C4×Q8—474no—
1747C4×Q8—474no—
1748C4×Q8—472no—
1749C4×Q8C22×D4712yes—
1750C4×D4—472no—
1751C4×D4—472no—
1752C4×D4—472no—
1753C4×D4—472no—
1754C4×D4—472no—
1755C4×D4—472no—
1756C4×D4—472no—
1757C4×D4—472no—
1758C4×D4—474no—
1759C4×D4—474no—
1760C4×D4—474no—
1761C4×D4—474no—
1762C4×D4—474no—
1763C4×D4—474no—
1764C4×D4—474no—
1765C4×D4—472no—
1766C4×D4—472no—
1767C4×D4—472no—
1768C4×D4—472no—
1769C4×D4—472no—
1770C4×D4—472no—
1771C4×D4—472no—
1772C4×D4—472no—
1773C4×D4—472no—
1774C4×D4—474no—
1775C4×D4—474no—
1776C4×D4—474no—
1777C4×D4—474no—
1778C4×D4—474no—
1779C4×D4—474no—
1780C4×D4—474no—
1781C4×D4—474no—
1782C4×D4—474no—
1783C4×D4—474no—
1784C4×D4—474no—
1785C4×D4—472no—
1786C4×D4—472no—
1787C4×D4—472no—
1788C4×D4—472no—
1789C4×D4—474no—
1790C4×D4—474no—
1791C4×D4—474no—
1792C4×D4—472no—
1793C4×D4—474no—
1794C4×D4—472no—
1795C4×D4—472no—
1796C4×D4—472no—
1797C4×D4—472no—
1798C4×D4—472no—
1799C4×D4—472no—
1800C4×D4—472no—
1801C4×D4—472no—
1802C4×D4—474no—
1803C4×D4—474no—
1804C4×D4—474no—
1805C4×D4—474no—
1806C4×D4—474no—
1807C4×D4—474no—
1808C4×D4—474no—
1809C4×D4—474no—
1810C4×D4—474no—
1811C4×D4—474no—
1812C4×D4—474no—
1813C4×D4—474no—
1814C4×D4—474no—
1815C4×D4—474no—
1816C4×D4—474no—
1817C4×D4—474no—
1818C4×D4—474no—
1819C4×D4—474no—
1820C4×D4—474no—
1821C4×D4—472no—
1822C4×D4C22×D4712yes—
1823C4×D4C22×D4712yes—
1824C4×D4C22×D4712yes—
1825C4×D4C22×D4712yes—
1826C4×D4C22×D4714yes—
1827C4×D4C22×D4714yes—
1828C4×D4C22×D4714yes—
1829C4×D4C22×D4714yes—
1830C4×D4C22×D4714yes—
1831C4×D4C22×D4712yes—
1832#117—474no—
1833#117—472no—
1834#117—474no—
1835#117—472no—
1836#117—472no—
1837#117—474no—
1838#117—474no—
1839#117—472no—
1840#117—472no—
1841#117—472no—
1842#117—472no—
1843#117—474no—
1844#117—474no—
1845#117—472no—
1846#117—474no—
1847#117—472no—
1848#117—472no—
1849#117—472no—
1850#117—474no—
1851#117—472no—
1852#117—474no—
1853#117—474no—
1854#117—472no—
1855#117—472no—
1856#117—472no—
1857#117—474no—
1858#117—474no—
1859#117—474no—
1860#117—474no—
1861#117—474no—
1862#117—474no—
1863#117—474no—
1864#117—474no—
1865#117—474no—
1866#117—474no—
1867#117—474no—
1868#117—474no—
1869#117—474no—
1870#117—474no—
1871#117C22×D4714yes—
1872#117C22×D4712yes—
1873#117C22×D4714yes—
1874C2×C4⋊C4—471no—
1875C2×C4⋊C4—471no—
1876C2×C4⋊C4—471no—
1877C2×C4⋊C4—471no—
1878C2×C4⋊C4—471no—
1879C2×C4⋊C4—472no—
1880C2×C4⋊C4—472no—
1881C2×C4⋊C4—474no—
1882C2×C4⋊C4—474no—
1883C2×C4⋊C4—472no—
1884C2×C4⋊C4—471no—
1885C2×C4⋊C4—472no—
1886C2×C4⋊C4—472no—
1887C2×C4⋊C4—472no—
1888C2×C4⋊C4—472no—
1889C2×C4⋊C4—471no—
1890C2×C4⋊C4—474no—
1891C2×C4⋊C4—474no—
1892C2×C4⋊C4C22×D4711yescharacteristic
1893C2×C4⋊C4C22×D4711yescharacteristic
1894C2×C4⋊C4C22×D4712yes—
1895C2×C4⋊C4C22×D4711yescharacteristic
1896C2×C22⋊C4—471no—
1897C2×C22⋊C4—471no—
1898C2×C22⋊C4—472no—
1899C2×C22⋊C4—474no—
1900C2×C22⋊C4—472no—
1901C2×C22⋊C4—471no—
1902C2×C22⋊C4—471no—
1903C2×C22⋊C4—472no—
1904C2×C22⋊C4—472no—
1905C2×C22⋊C4—474no—
1906C2×C22⋊C4—474no—
1907C2×C22⋊C4C22×D4711yescharacteristic
1908C2×C22⋊C4C22×D4711yescharacteristic
1909C2×C22⋊C4C22×D4712yes—
1910C2×C22⋊C4C22×D4714yes—
1911C2×C22⋊C4C22×D4712yes—
1912C2×C42—471no—
1913C2×C42—471no—
1914C2×C42—471no—
1915C2×C42—472no—
1916C2×C42—472no—
1917C2×C42—474no—
1918C2×C42—474no—
1919C2×C42—471no—
1920C2×C42—471no—
1921C2×C42—471no—
1922C2×C42—471no—
1923C2×C42—471no—
1924C2×C42—471no—
1925C2×C42—471no—
1926C2×C42—471no—
1927C2×C42—471no—
1928C2×C42—472no—
1929C2×C42—472no—
1930C2×C42—471no—
1931C2×C42—471no—
1932C2×C42—472no—
1933C2×C42—471no—
1934C2×C42—471no—
1935C2×C42—472no—
1936C2×C42—471no—
1937C2×C42—474no—
1938C2×C42—474no—
1939C2×C42—472no—
1940C2×C42—472no—
1941C2×C42—472no—
1942C2×C42—472no—
1943C2×C42C22×D4711yescharacteristic
1944C24—472no—
1945C24—471no—
1946C24C23×D4712yes—
1947C24C23×D4711yescharacteristic
1948C24C23×D4711yescharacteristic
1949#41—44no—
1950#41—948no—
1951#41—9416no—
1952#41—948no—
1953#41—9416no—
1954#41—948no—
1955#41—9416no—
1956#41—948no—
1957#41—9416no—
1958#41—1884no—
1959#41—1888no—
1960#41—1884no—
1961#41—1888no—
1962#41—1884no—
1963C2×Q8—42no—
1964C2×Q8—472no—
1965C2×Q8—474no—
1966C2×Q8—474no—
1967C2×Q8—472no—
1968C2×Q8—472no—
1969C2×Q8—474no—
1970C2×Q8—474no—
1971C2×Q8—472no—
1972C2×Q8—948no—
1973C2×Q8—944no—
1974C2×Q8—1882no—
1975C2×Q8—1884no—
1976C2×Q8C23×D4712yes—
1977C2×Q8C23×D4712yes—
1978C2×D4—24no—
1979C2×D4—28no—
1980C2×D4—42no—
1981C2×D4—472no—
1982C2×D4—474no—
1983C2×D4—472no—
1984C2×D4—472no—
1985C2×D4—474no—
1986C2×D4—474no—
1987C2×D4—474no—
1988C2×D4—472no—
1989C2×D4—474no—
1990C2×D4—474no—
1991C2×D4—474no—
1992C2×D4—474no—
1993C2×D4—474no—
1994C2×D4—474no—
1995C2×D4—472no—
1996C2×D4—474no—
1997C2×D4—474no—
1998C2×D4—472no—
1999C2×D4—948no—
2000C2×D4—944no—
2001C2×D4—948no—
2002C2×D4—944no—
2003C2×D4—1882no—
2004C2×D4—1884no—
2005C2×D4C23×D4712yes—
2006C2×D4C23×D4712yes—
2007C2×D4C23×D4714yes—
2008C2×D4C23×D4712yes—
2009C2×D4C23×D4714yes—
2010C2×D4C23×D4714yes—
2011C2×D4C23×D4712yes—
2012C2×D4C23×D4714yes—
2013C22×C4—42no—
2014C22×C4—42no—
2015C22×C4—478no—
2016C22×C4—471no—
2017C22×C4—471no—
2018C22×C4—471no—
2019C22×C4—471no—
2020C22×C4—471no—
2021C22×C4—471no—
2022C22×C4—471no—
2023C22×C4—471no—
2024C22×C4—471no—
2025C22×C4—471no—
2026C22×C4—474no—
2027C22×C4—472no—
2028C22×C4—472no—
2029C22×C4—472no—
2030C22×C4—472no—
2031C22×C4—474no—
2032C22×C4—471no—
2033C22×C4—471no—
2034C22×C4—471no—
2035C22×C4—471no—
2036C22×C4—471no—
2037C22×C4—472no—
2038C22×C4—472no—
2039C22×C4—472no—
2040C22×C4—474no—
2041C22×C4—474no—
2042C22×C4—474no—
2043C22×C4—472no—
2044C22×C4—472no—
2045C22×C4—472no—
2046C22×C4—472no—
2047C22×C4—474no—
2048C22×C4—472no—
2049C22×C4—472no—
2050C22×C4—474no—
2051C22×C4—474no—
2052C22×C4—474no—
2053C22×C4—474no—
2054C22×C4—948no—
2055C22×C4—944no—
2056C22×C4—948no—
2057C22×C4—944no—
2058C22×C4—1882no—
2059C22×C4—1882no—
2060C22×C4—1882no—
2061C22×C4—1882no—
2062C22×C4C23×D4711yescharacteristic
2063C22×C4C23×D4711yescharacteristic
2064C22×C4C23×D4711yescharacteristic
2065C22×C4C23×D4712yes—
2066C22×C4C23×D4711yescharacteristic
2067C22×C4C23×D4712yes—
2068C22×C4C23×D4711yescharacteristic
2069C22×C4C23×D4711yescharacteristic
2070C22×C4C23×D4711yescharacteristic
2071C22×C4C23×D4711yescharacteristic
2072C22×C4C23×D4712yes—
2073C22×C4C23×D4711yescharacteristic
2074C22×C4C23×D4712yes—
2075C22×C4C23×D4712yes—
2076C22×C4C23×D4714yes—
2077C22×C4C23×D4714yes—
2078C4⋊C4—472no—
2079C4⋊C4—472no—
2080C4⋊C4—474no—
2081C4⋊C4—474no—
2082C4⋊C4—472no—
2083C4⋊C4—472no—
2084C4⋊C4—474no—
2085C4⋊C4—474no—
2086C4⋊C4—474no—
2087C4⋊C4—474no—
2088C4⋊C4—472no—
2089C4⋊C4—472no—
2090C4⋊C4—474no—
2091C4⋊C4—474no—
2092C4⋊C4—474no—
2093C4⋊C4—474no—
2094C4⋊C4—474no—
2095C4⋊C4—474no—
2096C4⋊C4—472no—
2097C4⋊C4—472no—
2098C4⋊C4—474no—
2099C4⋊C4—474no—
2100C4⋊C4—474no—
2101C4⋊C4—474no—
2102C4⋊C4—474no—
2103C4⋊C4—474no—
2104C4⋊C4—474no—
2105C4⋊C4—474no—
2106C4⋊C4—472no—
2107C4⋊C4—472no—
2108C4⋊C4—472no—
2109C4⋊C4—474no—
2110C4⋊C4—474no—
2111C4⋊C4—474no—
2112C4⋊C4—472no—
2113C4⋊C4—472no—
2114C4⋊C4—474no—
2115C4⋊C4—472no—
2116C4⋊C4—474no—
2117C4⋊C4—474no—
2118C4⋊C4C23×D4714yes—
2119C4⋊C4C23×D4714yes—
2120C4⋊C4C23×D4712yes—
2121C4⋊C4C23×D4712yes—
2122C4⋊C4C23×D4712yes—
2123C4⋊C4C23×D4712yes—
2124C4⋊C4C23×D4714yes—
2125C4⋊C4C23×D4712yes—
2126C4⋊C4C23×D4714yes—
2127C4⋊C4C23×D4712yes—
2128C4⋊C4C23×D4714yes—
2129C4⋊C4C23×D4714yes—
2130C22⋊C4—472no—
2131C22⋊C4—474no—
2132C22⋊C4—472no—
2133C22⋊C4—474no—
2134C22⋊C4—472no—
2135C22⋊C4—474no—
2136C22⋊C4—474no—
2137C22⋊C4—474no—
2138C22⋊C4—472no—
2139C22⋊C4—474no—
2140C22⋊C4—474no—
2141C22⋊C4—474no—
2142C22⋊C4—474no—
2143C22⋊C4—474no—
2144C22⋊C4—472no—
2145C22⋊C4—472no—
2146C22⋊C4—474no—
2147C22⋊C4—474no—
2148C22⋊C4—474no—
2149C22⋊C4—474no—
2150C22⋊C4—474no—
2151C22⋊C4—474no—
2152C22⋊C4—472no—
2153C22⋊C4—472no—
2154C22⋊C4—474no—
2155C22⋊C4—474no—
2156C22⋊C4—474no—
2157C22⋊C4—474no—
2158C22⋊C4—474no—
2159C22⋊C4—474no—
2160C22⋊C4—474no—
2161C22⋊C4—474no—
2162C22⋊C4—474no—
2163C22⋊C4—474no—
2164C22⋊C4C23×D4712yes—
2165C22⋊C4C23×D4714yes—
2166C22⋊C4C23×D4712yes—
2167C22⋊C4C23×D4714yes—
2168C22⋊C4C23×D4712yes—
2169C22⋊C4C23×D4714yes—
2170C22⋊C4C23×D4714yes—
2171C22⋊C4C23×D4712yes—
2172C22⋊C4C23×D4714yes—
2173C22⋊C4C23×D4714yes—
2174C22⋊C4C23×D4714yes—
2175C22⋊C4C23×D4714yes—
2176C22⋊C4C23×D4714yes—
2177C22⋊C4C23×D4714yes—
2178C42—472no—
2179C42—472no—
2180C42—471no—
2181C42—471no—
2182C42—471no—
2183C42—471no—
2184C42—471no—
2185C42—474no—
2186C42—474no—
2187C42—471no—
2188C42—472no—
2189C42—472no—
2190C42—472no—
2191C42—472no—
2192C42—472no—
2193C42—471no—
2194C42—471no—
2195C42—471no—
2196C42—471no—
2197C42—471no—
2198C42—471no—
2199C42—472no—
2200C42—472no—
2201C42—472no—
2202C42—471no—
2203C42—471no—
2204C42—471no—
2205C42—471no—
2206C42—474no—
2207C42—474no—
2208C42—474no—
2209C42—474no—
2210C42—474no—
2211C42—474no—
2212C42—474no—
2213C42—474no—
2214C42C23×D4712yes—
2215C42C23×D4712yes—
2216C42C23×D4714yes—
2217C42C23×D4714yes—
2218C23—22no—
2219C23—24no—
2220C23—41no—
2221C23—41no—
2222C23—41no—
2223C23—41no—
2224C23—42no—
2225C23—42no—
2226C23—472no—
2227C23—474no—
2228C23—944no—
2229C23—942no—
2230C23—1882no—
2231C23—1882no—
2232C23—1881no—
2233C23—1881no—
2234C23#41×D4714yes—
2235C23C24×D4714yes—
2236C23C24×D4712yes—
2237C23C24×D4711yescharacteristic
2238C23C24×D4711yescharacteristic
2239C23C24×D4711yescharacteristic
2240Q8—24no—
2241Q8—42no—
2242Q8—944no—
2243Q8—948no—
2244Q8—944no—
2245Q8—948no—
2246Q8—948no—
2247Q8—944no—
2248Q8—1884no—
2249Q8—1882no—
2250D4—24no—
2251D4—28no—
2252D4—24no—
2253D4—28no—
2254D4—24no—
2255D4—42no—
2256D4—44no—
2257D4—44no—
2258D4—944no—
2259D4—948no—
2260D4—944no—
2261D4—948no—
2262D4—948no—
2263D4—944no—
2264D4—948no—
2265D4—948no—
2266D4—944no—
2267D4—944no—
2268D4—1882no—
2269D4—1884no—
2270D4—1884no—
2271D4—1884no—
2272D4—1884no—
2273D4—1884no—
2274D4—1884no—
2275D4—1884no—
2276C2×C4—24no—
2277C2×C4—22no—
2278C2×C4—22no—
2279C2×C4—22no—
2280C2×C4—22no—
2281C2×C4—24no—
2282C2×C4—41no—
2283C2×C4—42no—
2284C2×C4—41no—
2285C2×C4—41no—
2286C2×C4—41no—
2287C2×C4—41no—
2288C2×C4—42no—
2289C2×C4—42no—
2290C2×C4—44no—
2291C2×C4—44no—
2292C2×C4—474no—
2293C2×C4—474no—
2294C2×C4—474no—
2295C2×C4—474no—
2296C2×C4—474no—
2297C2×C4—474no—
2298C2×C4—471no—
2299C2×C4—471no—
2300C2×C4—471no—
2301C2×C4—471no—
2302C2×C4—471no—
2303C2×C4—472no—
2304C2×C4—471no—
2305C2×C4—472no—
2306C2×C4—471no—
2307C2×C4—472no—
2308C2×C4—474no—
2309C2×C4—474no—
2310C2×C4—474no—
2311C2×C4—471no—
2312C2×C4—948no—
2313C2×C4—944no—
2314C2×C4—948no—
2315C2×C4—944no—
2316C2×C4—944no—
2317C2×C4—944no—
2318C2×C4—948no—
2319C2×C4—948no—
2320C2×C4—944no—
2321C2×C4—942no—
2322C2×C4—942no—
2323C2×C4—942no—
2324C2×C4—944no—
2325C2×C4—944no—
2326C2×C4—942no—
2327C2×C4—944no—
2328C2×C4—1882no—
2329C2×C4—1882no—
2330C2×C4—1884no—
2331C2×C4—1884no—
2332C2×C4—1884no—
2333C2×C4—1884no—
2334C2×C4—1881no—
2335C2×C4—1882no—
2336C2×C4—1881no—
2337C2×C4—1881no—
2338C2×C4—1881no—
2339C2×C4—1881no—
2340C2×C4—1882no—
2341C2×C4—1882no—
2342C2×C4—1884no—
2343C2×C4—1884no—
2344C2×C4C24×D4712yes—
2345C2×C4C24×D4711yescharacteristic
2346C2×C4C24×D4712yes—
2347C2×C4C24×D4711yescharacteristic
2348C2×C4C24×D4711yescharacteristic
2349C2×C4C24×D4714yes—
2350C2×C4C24×D4714yes—
2351C2×C4C24×D4712yes—
2352C2×C4C24×D4714yes—
2353C2×C4C24×D4711yescharacteristic
2354C22—21no—
2355C22—21no—
2356C22—21no—
2357C22—21no—
2358C22—21no—
2359C22—21no—
2360C22—22no—
2361C22—24no—
2362C22—24no—
2363C22—22no—
2364C22—22no—
2365C22—24no—
2366C22—44no—
2367C22—44no—
2368C22—84no—
2369C22—944no—
2370C22—942no—
2371C22—942no—
2372C22—944no—
2373C22—942no—
2374C22—944no—
2375C22—3764no—
2376C22—1884no—
2377C22C2×#41×D4712yes—
2378C22C2×#41×D4712yes—
2379C22C2×#41×D4712yes—
2380C22C25×D4711yescharacteristic
2381C4—24no—
2382C4—22no—
2383C4—22no—
2384C4—24no—
2385C4—21no—
2386C4—22no—
2387C4—21no—
2388C4—21no—
2389C4—24no—
2390C4—472no—
2391C4—472no—
2392C4—472no—
2393C4—472no—
2394C4—472no—
2395C4—942no—
2396C4—944no—
2397C4—941no—
2398C4—942no—
2399C4—941no—
2400C4—941no—
2401C4—944no—
2402C4—942no—
2403C4—944no—
2404C4#1568995812yes—
2405C2—22no—
2406C2—22no—
2407C2—22no—
2408C2—42no—
2409C2—44no—
2410C2—1884no—
2411C2—1882no—
2412C2C22×#41×D4711yescharacteristic
2413C2#585×D4711yescharacteristic
2414C2C2×#1568995811yescharacteristic
subgroupG/H
center, FrattiniC22C25×D47
commutator, socle, cosocleC22×C47C26
FittingC47×#3505C2
hypercenter#3505D47
hypocenterC47#62815
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C22 ◁ #3505

Complements

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

NH ≅ G/Ntype
1. #20257304C2semidirect
2. #20257294C2semidirect
3. #20257290C2semidirect
4. #20257276C2semidirect
5. #20257266C2semidirect
6. #20257256C2semidirect
7. #20257248C2semidirect
8. #20257244C2semidirect
9. #20257235C2semidirect
10. #20257231C2semidirect
11. #20257229C2semidirect
12. #20257227C2semidirect
13. #20257225C2semidirect
14. #20257222C2semidirect
15. #20257218C2semidirect
16. #20256982C2semidirect
17. #20256982C2semidirect
18. #20256978C2semidirect
19. #20256953C2semidirect
20. #20256943C2semidirect
21. #20256939C2semidirect
22. #20256774C2semidirect
23. #20256770C2semidirect
24. #20256714C2semidirect
25. #20256682C2semidirect
26. #20256680C2semidirect
27. C2×#15689675C2semidirect
28. C2×#15689668C2semidirect
29. #20256586C2semidirect
30. C2×C4×#10625352C2semidirect
31. C47×#3505C2semidirect
34. #15689857C22semidirect
35. #15689857C22semidirect
36. #15689857C22semidirect
37. #15689856C22semidirect
38. #15689856C22semidirect
39. #15689855C22semidirect
40. #15689855C22semidirect
41. #15689850C22semidirect
42. #15689850C22semidirect
43. #15689849C22semidirect
44. #15689845C22semidirect
45. #15689844C22semidirect
46. #15689844C22semidirect
47. #15689842C22semidirect
48. #15689841C22semidirect
49. #15689841C22semidirect
50. #15689840C22semidirect
51. #15689840C22semidirect
52. #15689840C22semidirect
53. #15689840C22semidirect
54. #15689837C22semidirect
55. #15689836C22semidirect
56. #15689835C22semidirect
57. #15689832C22semidirect
58. #15689829C22semidirect
59. #15689827C22semidirect
60. #15689825C22semidirect
61. #15689825C22semidirect
62. #15689824C22semidirect
63. #15689822C22semidirect
64. #15689822C22semidirect
65. #15689822C22semidirect
66. #15689822C22semidirect
67. #15689821C22semidirect
68. #15689821C22semidirect
69. #15689819C22semidirect
70. #15689819C22semidirect
71. #15689818C22semidirect
72. #15689816C22semidirect
73. #15689816C22semidirect
74. #15689816C22semidirect
75. #15689816C22semidirect
76. #15689815C22semidirect
77. #15689813C22semidirect
78. #15689810C22semidirect
79. #15689810C22semidirect
80. #15689809C22semidirect
81. #15689808C22semidirect
82. #15689806C22semidirect
83. #15689806C22semidirect
84. #15689805C22semidirect
85. #15689804C22semidirect
86. #15689802C22semidirect
87. #15689800C22semidirect
88. #15689799C22semidirect
89. #15689799C22semidirect
90. #15689797C22semidirect
91. #15689796C22semidirect
92. #15689792C22semidirect
93. #15689791C22semidirect
94. #15689791C22semidirect
95. #15689784C22semidirect
96. #15689782C22semidirect
97. #15689782C22semidirect
98. #15689779C22semidirect
99. #15689779C22semidirect
100. #15689775C22semidirect
101. #15689772C22semidirect
102. #15689771C22semidirect
103. #15689769C22semidirect
104. #15689767C22semidirect
105. #15689764C22semidirect
106. #15689763C22semidirect
107. #15689760C22semidirect
108. #15689743C22semidirect
109. #15689741C22semidirect
110. #15689739C22semidirect
111. #15689737C22semidirect
112. #15689732C22semidirect
113. #15689730C22semidirect
114. #15689725C22semidirect
115. #15689723C22semidirect
116. #15689722C22semidirect
117. #15689720C22semidirect
118. #15689718C22semidirect
119. #15689717C22semidirect
120. #15689715C22semidirect
121. #15689713C22semidirect
122. #15689711C22semidirect
123. #15689710C22semidirect
124. #15689708C22semidirect
125. #15689706C22semidirect
126. #15689700C22semidirect
127. #15689700C22semidirect
129. #15689695C22semidirect
131. #15689688C22semidirect
135. #15689679C22semidirect
136. #15689677C22semidirect
137. #15689676C22semidirect
138. #15689675C22semidirect
139. #15689675C22semidirect
140. #15689675C22semidirect
141. #15689675C22semidirect
142. #15689675C22semidirect
143. #15689675C22semidirect
144. #15689675C22semidirect
145. #15689675C22semidirect
146. #15689675C22semidirect
147. #15689672C22semidirect
148. #15689670C22semidirect
149. #15689669C22semidirect
154. #15689668C22semidirect
155. #15689668C22semidirect
156. #15689668C22semidirect
157. #15689668C22semidirect
158. #15689668C22semidirect
159. #15689668C22semidirect
160. #15689668C22semidirect
161. C2×#13094023C22semidirect
162. C2×#13094023C22semidirect
163. C2×#13094022C22semidirect
164. C2×#13094020C22semidirect
165. #15689659C22semidirect
166. #15689659C22semidirect
167. #15689659C22semidirect
168. #15689658C22semidirect
169. #15689658C22semidirect
170. #15689657C22semidirect
171. #15689656C22semidirect
172. #15689656C22semidirect
173. #15689656C22semidirect
174. #15689656C22semidirect
175. #15689654C22semidirect
176. #15689654C22semidirect
177. #15689654C22semidirect
178. #15689653C22semidirect
179. #15689653C22semidirect
180. #15689652C22semidirect
181. #15689652C22semidirect
182. #15689651C22semidirect
183. #15689650C22semidirect
184. #15689650C22semidirect
185. #15689650C22semidirect
186. #15689650C22semidirect
187. #15689650C22semidirect
188. C2×#13094014C22semidirect
189. C2×#13094010C22semidirect
190. #15689636C22semidirect
191. #15689634C22semidirect
192. #15689633C22semidirect
193. #15689632C22semidirect
195. #15689631C22semidirect
197. #15689629C22semidirect
198. #15689629C22semidirect
203. #15689602C22semidirect
204. #15689602C22semidirect
205. #15689602C22semidirect
206. #15689602C22semidirect
207. #15689600C22semidirect
211. #15689596C22semidirect
212. #41×Dic47C22semidirect
213. C4×#10625354C22semidirect
214. #15689591C22semidirect
215. #15689591C22semidirect
220. C4×#10625352C22semidirect
221. C4×#10625352C22semidirect
222. C4×#10625352C22semidirect
223. C4×#10625352C22semidirect
224. C4×#10625352C22semidirect
225. C4×#10625352C22semidirect
226. C4×#10625352C22semidirect
227. C4×#10625352C22semidirect
228. C4×#10625352C22semidirect
229. C4×#10625352C22semidirect
230. C2×Q8×Dic47C22semidirect
231. C2×C4×Dic94C22semidirect
232. C2×#13093989C22semidirect
233. C2×#13093989C22semidirect
234. C2×#13093989C22semidirect
236. C2×D4×Dic47C22semidirect
237. C2×#13093986C22semidirect
239. C2×C4×C22⋊D47C22semidirect
241. C2×(C22⋊D47)⋊C4C22semidirect
242. C2×(C22⋊D47)⋊C4C22semidirect
243. C2×#13093982C22semidirect
246. C2×#13093980C22semidirect
247. C2×#13093980C22semidirect
248. #117×D47C22semidirect
250. C22×C4×Dic47C22semidirect
251. C2×C42×D47C22semidirect
252. C47×#553C22semidirect
253. C47×#553C22semidirect
254. C47×#552C22semidirect
255. C47×#551C22semidirect
256. C47×#548C22semidirect
257. C47×#546C22semidirect
258. C47×#539C22semidirect
259. C47×#538C22semidirect
261. C47×#529C22semidirect
262. C47×#525C22semidirect
797. C22×Dic47#41semidirect
1213. #3505D47semidirect
1283. #553C2×D47semidirect
1284. #553C2×D47semidirect
1294. #552C2×D47semidirect
1302. #551C2×D47semidirect
1311. #548C2×D47semidirect
1320. #546C2×D47semidirect
1334. #539C2×D47semidirect
1340. #538C2×D47semidirect
1404. #529C2×D47semidirect
1416. #525C2×D47semidirect
1474. C47#62815semidirect

Maximal subgroups

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

subgroupindex
#202573042
#202572942
#202572902
#202572762
#202572662
#202572562
#202572482
#202572442
#202572352
#202572312
#202572292
#202572272
#202572252
#202572222
#202572182
#202569822
#202569782
#202569532
#202569432
#202569392
#202567742
#202567702
#202567142
#202566822
#202566802
C2×#156896752
C2×#156896682
#202565862
C2×C4×#106253522
C47×#35052
#6281547