Finite Group Databasebeta

← #27124122

Subgroups — #27124122

Order 12032.

6518 conjugacy classes of subgroups.

The subgroup lattice has 2538 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257889C212yesmaximal, complemented
2#20257885C212yesmaximal, complemented
3#20257880C211yesmaximal, characteristic, complemented
4#20257878C211yesmaximal, characteristic, complemented
5#20257876C211yesmaximal, characteristic, complemented
6#20257874C212yesmaximal, complemented
7#20257853C211yesmaximal, characteristic, complemented
8#20257849C212yesmaximal, complemented
9#20257837C214yesmaximal, complemented
10#20257824C212yesmaximal, complemented
11#20257820C212yesmaximal, complemented
12#20257800C211yesmaximal, characteristic, complemented
13#20257795C211yesmaximal, characteristic, complemented
14#20257781C211yesmaximal, characteristic, complemented
15#20257679C212yesmaximal, complemented
16#20257671C212yesmaximal, complemented
17#20257670C214yesmaximal, complemented
18#20257532C214yesmaximal, complemented
19#20257004C212yesmaximal, complemented
20#20257000C212yesmaximal, complemented
21#20256987C211yesmaximal, characteristic, complemented
22#20256984C211yesmaximal, characteristic, complemented
23#20256984C212yesmaximal, complemented
24#20256970C211yesmaximal, characteristic, complemented
25#20256967C212yesmaximal, complemented
26Q8×#10625352C211yesmaximal, characteristic, complemented
27#20256818C214yesmaximal, complemented
28#20256814C212yesmaximal, complemented
29#20256812C212yesmaximal, complemented
30#20256775C212yesmaximal, complemented
31#20256772C212yesmaximal, complemented
32#20256683C211yesmaximal, characteristic, complemented
33#20256682C211yesmaximal, characteristic, complemented
34#533×D47C211yesmaximal, characteristic, complemented
35C47×#3554C211yesmaximal, characteristic, complemented
36C47⋊#564C2214yescomplemented
37#15689876C2214yes—
38#15689876C2214yes—
39#15689876C2214yescomplemented
40#15689876C2214yescomplemented
41#15689874C2214yes—
42#15689874C2214yescomplemented
43#15689874C2214yescomplemented
44#15689874C2214yescomplemented
45#15689873C2214yes—
46#15689873C2214yescomplemented
47#15689868C2214yes—
48#15689868C2214yes—
49#15689868C2214yes—
50#15689868C2214yescomplemented
51#15689859C2211yescharacteristic, complemented
52#15689859C2212yescomplemented
53#15689856C2212yescomplemented
54#15689856C2212yescomplemented
55#15689856C2212yescomplemented
56Q8×Dic94C2211yescharacteristic, complemented
57Q8×Dic94C2211yescharacteristic, complemented
58#15689853C2212yescomplemented
59#15689852C2211yescharacteristic, complemented
60#15689851C2212yescomplemented
61#15689851C2212yescomplemented
62#15689851C2211yescharacteristic, complemented
63#15689850C2212yescomplemented
64#15689850C2212yescomplemented
65#15689849C2212yescomplemented
66#15689849C2212yescomplemented
67#15689848C2212yescomplemented
68#15689848C2211yescharacteristic, complemented
69#15689848C2212yescomplemented
70#15689846C2211yescharacteristic, complemented
71#15689846C2212yescomplemented
72#15689844C2212yes—
73#15689844C2212yescomplemented
74#15689843C2212yes—
75#15689843C2211yescharacteristic, complemented
76#15689843C2212yescomplemented
77#15689842C2214yes—
78#15689842C2212yescomplemented
79#15689842C2212yescomplemented
80#15689842C2212yescomplemented
81#15689842C2212yescomplemented
82#15689833C2212yes—
83#15689833C2211yescharacteristic, complemented
84#15689832C2212yescomplemented
85#15689832C2212yescomplemented
86#15689831C2212yes—
87#15689831C2214yes—
88#15689830C2212yescomplemented
89#15689830C2211yescharacteristic, complemented
90#15689829C2214yes—
91#15689829C2212yescomplemented
92#15689828C2214yes—
93#15689827C2214yes—
94#15689827C2214yes—
95#15689823C2212yes—
96#15689823C2214yes—
97#15689820C2212yes—
98#15689820C2214yes—
99#15689818C2214yes—
100#15689818C2214yes—
101#15689818C2214yes—
102#15689813C2212yes—
103#15689813C2214yescomplemented
104#15689810C2214yes—
105#15689810C2214yescomplemented
106#15689808C2214yescomplemented
107#15689807C2212yes—
108#15689807C2214yescomplemented
109#15689793C2212yescomplemented
110#15689793C2211yescharacteristic, complemented
111D4×Dic94C2212yescomplemented
112D4×Dic94C2212yescomplemented
113#15689788C2212yes—
114#15689788C2211yescharacteristic, complemented
115Q8×C22⋊D47C2212yes—
116Q8×C22⋊D47C2212yescomplemented
117#15689786C2214yes—
118#15689781C2212yes—
119#15689781C2214yes—
120#15689780C2212yes—
121#15689780C2212yes—
122#15689779C2214yes—
123#15689773C2214yes—
124#15689773C2212yescomplemented
125#15689772C2212yes—
126#15689772C2212yescomplemented
127#15689752C2214yescomplemented
128#15689751C2212yescomplemented
129#15689750C2212yescomplemented
130#15689747C2212yes—
131#15689746C2214yes—
132#15689744C2212yes—
133#15689743C2214yes—
134#15689743C2214yes—
135#15689742C2212yes—
136#15689742C2212yes—
137#15689742C2212yescomplemented
138#15689741C2214yes—
139#15689741C2214yescomplemented
140#15689740C2212yes—
141#15689740C2212yes—
142#15689738C2212yes—
143#15689738C2212yes—
144#15689738C2212yes—
145#15689737C2214yes—
146#15689736C2212yes—
147#15689735C2212yes—
148#15689735C2212yescomplemented
149#15689734C2212yes—
150#15689734C2212yescomplemented
151#15689733C2212yes—
152#15689733C2214yescomplemented
153#15689732C2214yes—
154#15689732C2214yescomplemented
155#15689731C2212yes—
156#15689731C2212yes—
157#15689730C2214yescomplemented
158#15689730C2214yescomplemented
159#15689730C2214yescomplemented
160#15689727C2212yes—
161#15689726C2212yes—
162#15689724C2212yes—
163#15689720C2214yes—
164#15689719C2214yes—
165#15689719C2214yes—
166#15689717C2214yes—
167#15689717C2214yescomplemented
168#15689716C2214yes—
169#15689716C2214yes—
170#15689716C2214yescomplemented
171#15689715C2214yes—
172#15689715C2214yescomplemented
173#15689714C2214yes—
174#15689709C2214yes—
175#15689707C2214yes—
176#15689705C2214yes—
177#15689705C2214yes—
178#15689702C2212yes—
179#15689701C2212yes—
180#15689700C2214yes—
181#15689697C2212yes—
182#15689696C2212yes—
183#15689695C2214yes—
184#15689695C2214yescomplemented
185#15689693C2212yescomplemented
186#15689680C2211yescharacteristic
187#15689680C2211yescharacteristic
188#15689679C2212yes—
189#15689679C2212yes—
190#15689679C2211yescharacteristic
191#15689679C2214yescomplemented
192#15689678C2211yescharacteristic
193#15689678C2212yes—
194#15689678C2211yescharacteristic
195#15689678C2211yescharacteristic
196#15689678C2211yescharacteristic
197#15689678C2212yescomplemented
198#15689677C2211yescharacteristic
199#15689677C2211yescharacteristic
200#15689677C2211yescharacteristic
201#15689677C2212yes—
202#15689676C2212yes—
203#15689675C2211yescharacteristic
204#15689675C2211yescharacteristic
205#15689675C2211yescharacteristic
206#15689675C2212yes—
207#15689675C2214yescomplemented
208#15689675C2212yescomplemented
209#15689675C2214yescomplemented
210#15689675C2214yescomplemented
211#15689675C2214yescomplemented
212#15689672C2212yes—
213#15689672C2211yescharacteristic
214#15689671C2212yes—
215#15689671C2211yescharacteristic
216#15689671C2211yescharacteristic
217#15689670C2211yescharacteristic
218#15689668C2211yescharacteristic
219C4⋊Q8×D47C2211yescharacteristic
220C4⋊Q8×D47C2211yescharacteristic
221#15689659C2214yes—
222#15689658C2211yescharacteristic
223#15689657C2211yescharacteristic
224#15689656C2214yes—
225#15689656C2212yes—
226#15689656C2212yes—
227#15689655C2212yes—
228#15689655C2212yes—
229#15689654C2214yes—
230#15689654C2214yes—
231#15689654C2212yes—
232#15689654C2212yes—
233#15689654C2212yescomplemented
234#15689654C2214yescomplemented
235#15689652C2214yes—
236#15689652C2212yes—
237#15689652C2212yes—
238#15689652C2211yescharacteristic
239#15689652C2212yescomplemented
240#15689652C2214yescomplemented
241#15689651C2212yes—
242#15689650C2214yes—
243#15689650C2214yes—
244#15689650C2214yes—
245#15689650C2212yes—
246#15689650C2214yescomplemented
247#15689650C2214yescomplemented
248#15689650C2214yescomplemented
249#125×D47C2212yes—
250#15689636C2211yescharacteristic
251#15689633C2211yescharacteristic
252#15689633C2212yes—
253#15689633C2212yes—
254#15689632C2212yes—
255#15689631C2212yes—
256#15689630C2212yes—
257C22⋊Q8×D47C2212yes—
258C22⋊Q8×D47C2211yescharacteristic
259C22⋊Q8×D47C2211yescharacteristic
260#41×Dic47C2212yes—
261#41×Dic47C2212yescomplemented
262C4×#10625354C2212yes—
263C4×#10625354C2211yescharacteristic
264#15689591C2212yes—
265C4×#10625352C2212yes—
266C4×#10625352C2212yes—
267C4×#10625352C2212yes—
268C4×#10625352C2212yes—
269C4×#10625352C2211yescharacteristic
270C4×#10625352C2212yes—
271C4×#10625352C2212yes—
272C4×#10625352C2212yescomplemented
273C4×#10625352C2214yescomplemented
274C2×Q8×Dic47C2212yescomplemented
275C2×#13093989C2214yescomplemented
276C4×Q8×D47C2211yescharacteristic
277C4×Q8×D47C2212yes—
278C4×Q8×D47C2211yescharacteristic
279C4×Q8×D47C2212yescomplemented
280#117×D47C2212yes—
281C2×C42×D47C2211yescharacteristic
282C47×#562C2214yes—
283C47×#559C2211yescharacteristic, complemented
284C47×#559C2212yescomplemented
285C47×#557C2211yescharacteristic, complemented
286C47×#554C2212yescomplemented
287C47×#550C2211yescharacteristic, complemented
288D4×Q8×C47C2211yescharacteristic, complemented
289C47×#548C2212yes—
290C47×#547C2212yes—
291C47×#542C2212yes—
292C47×#542C2212yescomplemented
293C47×#540C2212yes—
294C47×#539C2214yescomplemented
295C47×#536C2212yescomplemented
296C47×#533C2211yescharacteristic
297C47×#532C2211yescharacteristic
298C47×#529C2211yescharacteristic
299C2×#10625354C2311yescharacteristic
300C2×#10625350C2312yes—
301C2×#10625352C2311yescharacteristic
302C2×#10625352C2312yes—
303C2×#10625352C2312yes—
304C2×#10625352C2312yes—
305C2×#10625352C2314yes—
306C2×#10625352C2312yes—
307C22×Dic94C2314yes—
308C2×Q8×D47C2311yescharacteristic
309C2×Q8×D47C2312yes—
310C2×Q8×D47C2312yes—
311C2×Q8×D47C2311yescharacteristic
312C22×C4×D47C2311yescharacteristic
313C22×C4×D47C2311yescharacteristic
314C22×C4×D47C2311yescharacteristic
315#13094024C2312yes—
316#13094024C2311yescharacteristic
317#13094024C2312yes—
318#13094024C2312yes—
319#13094024C2311yescharacteristic
320#13094024C2311yescharacteristic
321#13094024C2311yescharacteristic
322#13094023C2312yes—
323#13094023C2314yes—
324#13094023C2314yes—
325#13094023C2314yes—
326#13094023C2314yes—
327#13094023C2312yes—
328#13094023C2312yes—
329#13094023C2312yes—
330#13094023C2314yes—
331#13094023C2312yes—
332#13094023C2314yes—
333#13094023C2311yescharacteristic
334#13094023C2311yescharacteristic
335#13094023C2311yescharacteristic
336#13094023C2311yescharacteristic
337#13094023C2312yes—
338#13094022C2312yes—
339#13094022C2312yes—
340#13094022C2314yes—
341#13094022C2314yes—
342#13094022C2314yes—
343#13094022C2314yes—
344#13094022C2311yescharacteristic
345#13094022C2311yescharacteristic
346#13094022C2311yescharacteristic
347#13094022C2312yes—
348#13094020C2311yescharacteristic
349#13094020C2312yes—
350#13094019C2314yes—
351#13094019C2314yes—
352#13094019C2314yes—
353#13094019C2314yes—
354#13094019C2314yes—
355#13094019C2314yes—
356#13094019C2314yes—
357#13094019C2314yes—
358#13094019C2312yes—
359#13094018C2314yes—
360#13094018C2312yes—
361#13094017C2314yes—
362#13094017C2314yes—
363#13094017C2314yes—
364#13094017C2314yes—
365#13094017C2314yes—
366#13094017C2314yes—
367#13094017C2314yes—
368#13094017C2314yes—
369#13094017C2314yes—
370#13094017C2314yes—
371#13094017C2314yes—
372#13094017C2314yes—
373#13094017C2314yes—
374#13094017C2314yes—
375#13094017C2314yes—
376#13094017C2314yes—
377#13094017C2314yes—
378#13094017C2314yes—
379#13094017C2314yes—
380#13094017C2312yes—
381#13094017C2314yes—
382#13094016C2312yes—
383#13094016C2314yes—
384#13094016C2314yes—
385#13094016C2314yes—
386#13094016C2312yes—
387#13094016C2312yes—
388#13094016C2312yes—
389#13094016C2311yescharacteristic
390#13094015C2314yes—
391#13094015C2312yes—
392#13094015C2312yes—
393#13094015C2312yes—
394#13094015C2314yes—
395#13094015C2312yes—
396#13094015C2312yes—
397#13094015C2314yes—
398#13094015C2314yes—
399#13094015C2314yes—
400#13094015C2312yes—
401#13094015C2312yes—
402#13094014C2314yes—
403#13094014C2314yes—
404#13094014C2312yes—
405#13094014C2314yes—
406#13094014C2314yes—
407#13094014C2314yes—
408#13094014C2314yes—
409#13094014C2314yes—
410#13094014C2314yes—
411#13094014C2314yes—
412#13094014C2314yes—
413#13094014C2314yes—
414#13094014C2314yes—
415#13094014C2314yes—
416#13094014C2314yes—
417#13094014C2314yes—
418#13094014C2314yes—
419#13094014C2312yes—
420#13094014C2312yes—
421#13094014C2312yes—
422#13094014C2312yes—
423#13094014C2312yes—
424#13094013C2314yes—
425#13094012C2312yes—
426#13094012C2311yescharacteristic
427#13094011C2312yes—
428#13094011C2312yes—
429#13094011C2312yes—
430#13094011C2314yes—
431#13094011C2314yes—
432#13094011C2314yes—
433#13094011C2312yes—
434#13094011C2312yes—
435#13094010C2314yes—
436#13094010C2314yes—
437#13094010C2314yes—
438#13094010C2312yes—
439#13094010C2314yes—
440#13094010C2314yes—
441#13094010C2314yes—
442#13094010C2314yes—
443#13094010C2312yes—
444#13094009C2312yes—
445#13094009C2314yes—
446#13094009C2312yes—
447#13094008C2314yes—
448#13094008C2314yes—
449#13094007C2314yes—
450#13094007C2314yes—
451#13094007C2314yes—
452#13094007C2314yes—
453#13094007C2314yes—
454#13094007C2314yes—
455#13094007C2312yes—
456#13094006C2314yes—
457#13094006C2312yes—
458#13094006C2314yes—
459#13094006C2314yes—
460#13094006C2314yes—
461#13094006C2314yes—
462#13094006C2314yes—
463#13094006C2314yes—
464#13094006C2312yes—
465#13094006C2314yes—
466#13094005C2314yes—
467#13094005C2314yes—
468#13094005C2314yes—
469#13094005C2314yes—
470#13094005C2314yes—
471#13094005C2314yes—
472#13094005C2314yes—
473#13094005C2314yes—
474#13094004C2311yescharacteristic
475#13094004C2312yes—
476#13094004C2311yescharacteristic
477#13094004C2311yescharacteristic
478#13094004C2312yes—
479#13094004C2314yes—
480#13094004C2314yes—
481#13094004C2312yes—
482#13094003C2312yes—
483#13094003C2314yes—
484#13094003C2311yescharacteristic
485#13094003C2312yes—
486#13094003C2312yes—
487#13094003C2314yes—
488#13094003C2314yes—
489#13094003C2314yes—
490#13094003C2314yes—
491#13094003C2314yes—
492#13094003C2314yes—
493#13094003C2311yescharacteristic
494#13094003C2311yescharacteristic
495#13094003C2312yes—
496#13094003C2312yes—
497#13094002C2312yes—
498#13094002C2312yes—
499#13094002C2314yes—
500#13094002C2314yes—
501#13094002C2312yes—
502#13094002C2314yes—
503#13094002C2312yes—
504#13094002C2312yes—
505#13094002C2314yes—
506#13094002C2314yes—
507#13094002C2312yes—
508#13094002C2314yes—
509#13094002C2314yes—
510#13094002C2312yes—
511#13094001C2314yes—
512#13094001C2314yes—
513#13094001C2314yes—
514#13094001C2314yes—
515#13094001C2314yes—
516#13094001C2314yes—
517#13094001C2314yes—
518#13094001C2314yes—
519#13094001C2314yes—
520#13094001C2314yes—
521#13094001C2314yes—
522#13094001C2314yes—
523#13094001C2314yes—
524#13094001C2314yes—
525#13094001C2314yes—
526#13094001C2312yes—
527#13094001C2312yes—
528#13094001C2312yes—
529#13094001C2312yes—
530#13094001C2312yes—
531#13094000C2311yescharacteristic
532#13094000C2312yes—
533#13094000C2311yescharacteristic
534#13094000C2312yes—
535#13094000C2312yes—
536#13094000C2312yes—
537#13094000C2311yescharacteristic
538#13094000C2312yes—
539#13094000C2314yes—
540#13094000C2314yes—
541#13094000C2312yes—
542#13094000C2314yes—
543#13093999C2311yescharacteristic
544#13093998C2311yescharacteristic
545#13093998C2314yes—
546#13093997C2312yes—
547#13093997C2314yes—
548#13093997C2312yes—
549#13093997C2314yes—
550#13093997C2314yes—
551#13093997C2312yes—
552#13093996C2314yes—
553#13093996C2314yes—
554#13093996C2314yes—
555#13093996C2314yes—
556#13093996C2314yes—
557#13093996C2314yes—
558#13093996C2312yes—
559#13093995C2311yescharacteristic
560#13093995C2312yes—
561#13093995C2312yes—
562#13093995C2312yes—
563#13093995C2314yes—
564#13093995C2312yes—
565#13093995C2314yes—
566#13093995C2314yes—
567#13093995C2314yes—
568#13093995C2312yes—
569#13093994C2312yes—
570#13093992C2314yes—
571#13093992C2312yes—
572Q8×Dic47C2312yes—
573Q8×Dic47C2314yes—
574Q8×Dic47C2312yes—
575Q8×Dic47C2312yes—
576Q8×Dic47C2312yes—
577Q8×Dic47C2312yes—
578Q8×Dic47C2311yescharacteristic
579Q8×Dic47C2311yescharacteristic
580Q8×Dic47C2312yes—
581Q8×Dic47C2312yes—
582Q8×Dic47C2311yescharacteristic
583Q8×Dic47C2314yes—
584C4×Dic94C2312yes—
585C4×Dic94C2314yes—
586C4×Dic94C2314yes—
587C4×Dic94C2312yes—
588C4×Dic94C2312yes—
589C4×Dic94C2312yes—
590C4×Dic94C2312yes—
591C4×Dic94C2312yes—
592C4×Dic94C2311yescharacteristic
593C4×Dic94C2312yes—
594C4×Dic94C2312yes—
595C4×Dic94C2311yescharacteristic
596C4×Dic94C2312yes—
597C4×Dic94C2312yes—
598C4×Dic94C2312yes—
599C4×Dic94C2312yes—
600C4×Dic94C2312yes—
601C4×Dic94C2311yescharacteristic
602#13093989C2312yes—
603#13093989C2314yes—
604#13093989C2314yes—
605#13093989C2314yes—
606#13093989C2314yes—
607#13093989C2312yes—
608#13093989C2312yes—
609#13093989C2312yes—
610#13093989C2311yescharacteristic
611#13093989C2312yes—
612#13093989C2311yescharacteristic
613#13093989C2312yes—
614#13093989C2312yes—
615#13093989C2312yes—
616#13093989C2312yes—
617#13093989C2314yes—
618#13093989C2312yes—
619#13093989C2314yes—
620#13093989C2314yes—
621#13093989C2311yescharacteristic
622#13093989C2312yes—
623#13093989C2312yes—
624#13093989C2312yes—
625C4×D188C2312yes—
626C4×D188C2312yes—
627C4×D188C2314yes—
628C4×D188C2311yescharacteristic
629D4×Dic47C2312yes—
630D4×Dic47C2312yes—
631D4×Dic47C2312yes—
632D4×Dic47C2312yes—
633D4×Dic47C2312yes—
634D4×Dic47C2314yes—
635D4×Dic47C2314yes—
636D4×Dic47C2312yes—
637D4×Dic47C2311yescharacteristic
638D4×Dic47C2312yes—
639D4×Dic47C2312yes—
640D4×Dic47C2312yes—
641D4×Dic47C2314yes—
642D4×Dic47C2314yes—
643D4×Dic47C2314yes—
644#13093986C2312yes—
645#13093986C2312yes—
646#13093986C2314yes—
647#13093986C2312yes—
648#13093986C2311yescharacteristic
649#13093986C2312yes—
650C4×C22⋊D47C2314yes—
651C4×C22⋊D47C2314yes—
652C4×C22⋊D47C2312yes—
653C4×C22⋊D47C2312yes—
654C4×C22⋊D47C2314yes—
655C4×C22⋊D47C2312yes—
656C4×C22⋊D47C2314yes—
657C4×C22⋊D47C2314yes—
658C4×C22⋊D47C2314yes—
659C4×C22⋊D47C2314yes—
660C4×C22⋊D47C2314yes—
661(C22⋊D47)⋊C4C2312yes—
662(C22⋊D47)⋊C4C2314yes—
663(C22⋊D47)⋊C4C2314yes—
664(C22⋊D47)⋊C4C2314yes—
665(C22⋊D47)⋊C4C2314yes—
666(C22⋊D47)⋊C4C2312yes—
667(C22⋊D47)⋊C4C2312yes—
668(C22⋊D47)⋊C4C2314yes—
669(C22⋊D47)⋊C4C2312yes—
670(C22⋊D47)⋊C4C2314yes—
671(C22⋊D47)⋊C4C2314yes—
672(C22⋊D47)⋊C4C2312yes—
673(C22⋊D47)⋊C4C2312yes—
674(C22⋊D47)⋊C4C2312yes—
675#13093983C2312yes—
676#13093983C2314yes—
677#13093983C2312yes—
678#13093983C2312yes—
679#13093983C2314yes—
680#13093982C2312yes—
681#13093982C2314yes—
682#13093982C2312yes—
683#13093982C2312yes—
684#13093982C2312yes—
685#13093982C2312yes—
686#13093982C2311yescharacteristic
687#13093982C2312yes—
688#13093982C2311yescharacteristic
689#13093982C2312yes—
690#13093982C2314yes—
691#13093981C2312yes—
692#13093981C2312yes—
693#13093981C2312yes—
694#13093981C2312yes—
695#13093980C2314yes—
696#13093980C2314yes—
697#13093980C2314yes—
698#13093980C2314yes—
699#13093980C2312yes—
700#13093980C2312yes—
701#13093980C2312yes—
702#13093980C2312yes—
703#13093980C2314yes—
704#13093980C2314yes—
705#13093980C2312yes—
706#13093980C2314yes—
707#13093980C2314yes—
708C2×C4⋊Dic47C2312yes—
709C2×C4⋊Dic47C2314yes—
710C2×Dic47⋊C4C2314yes—
711C2×Dic47⋊C4C2314yes—
712C4⋊C4×D47C2312yes—
713C4⋊C4×D47C2314yes—
714C4⋊C4×D47C2312yes—
715C4⋊C4×D47C2312yes—
716C4⋊C4×D47C2312yes—
717C4⋊C4×D47C2312yes—
718C4⋊C4×D47C2311yescharacteristic
719C4⋊C4×D47C2312yes—
720C4⋊C4×D47C2311yescharacteristic
721C4⋊C4×D47C2312yes—
722C4⋊C4×D47C2312yes—
723C22⋊C4×D47C2312yes—
724C22⋊C4×D47C2312yes—
725C2×C4×Dic47C2311yescharacteristic
726C2×C4×Dic47C2311yescharacteristic
727C2×C4×Dic47C2311yescharacteristic
728C2×C4×Dic47C2314yes—
729C2×C4×Dic47C2314yes—
730C2×C4×Dic47C2314yes—
731C2×C4×Dic47C2312yes—
732C2×C4×Dic47C2314yes—
733C42×D47C2311yescharacteristic
734C42×D47C2311yescharacteristic
735C42×D47C2311yescharacteristic
736C42×D47C2311yescharacteristic
737C42×D47C2311yescharacteristic
738C42×D47C2311yescharacteristic
739C42×D47C2311yescharacteristic
740C42×D47C2311yescharacteristic
741C42×D47C2312yes—
742C42×D47C2312yes—
743C42×D47C2312yes—
744C42×D47C2314yes—
745C2×#41×C47C2312yes—
746C2×#41×C47C2312yes—
747C22×Q8×C47C2312yes—
748C4⋊Q8×C47C2312yes—
749C4⋊Q8×C47C2311yescharacteristic
750C4⋊Q8×C47C2312yes—
751C4⋊Q8×C47C2311yescharacteristic
752C4⋊Q8×C47C2311yescharacteristic
753#127×C47C2311yescharacteristic
754#127×C47C2312yes—
755#126×C47C2312yes—
756#126×C47C2314yes—
757#125×C47C2314yes—
758#125×C47C2312yes—
759#125×C47C2312yes—
760#125×C47C2311yescharacteristic
761#124×C47C2314yes—
762#124×C47C2312yes—
763#124×C47C2312yes—
764#124×C47C2312yes—
765#124×C47C2311yescharacteristic
766#124×C47C2314yes—
767#123×C47C2314yes—
768#123×C47C2314yes—
769#123×C47C2312yes—
770#123×C47C2314yes—
771#123×C47C2314yes—
772#123×C47C2314yes—
773#123×C47C2314yes—
774C22⋊Q8×C47C2311yescharacteristic
775C22⋊Q8×C47C2314yes—
776C22⋊Q8×C47C2314yes—
777C22⋊Q8×C47C2314yes—
778C22⋊Q8×C47C2314yes—
779C22⋊Q8×C47C2314yes—
780C22⋊Q8×C47C2311yescharacteristic
781C22⋊Q8×C47C2311yescharacteristic
782C22⋊Q8×C47C2312yes—
783C22⋊Q8×C47C2312yes—
784#121×C47C2311yescharacteristic
785#121×C47C2312yes—
786#121×C47C2314yes—
787#121×C47C2312yes—
788#121×C47C2314yes—
789#121×C47C2312yes—
790#121×C47C2314yes—
791C4×Q8×C47C2312yes—
792C4×Q8×C47C2312yes—
793C4×Q8×C47C2311yescharacteristic
794C4×Q8×C47C2311yescharacteristic
795C4×Q8×C47C2311yescharacteristic
796C4×Q8×C47C2312yes—
797C4×D4×C47C2312yes—
798C4×D4×C47C2312yes—
799C4×D4×C47C2312yes—
800C4×D4×C47C2312yes—
801C4×D4×C47C2311yescharacteristic
802C4×D4×C47C2312yes—
803C4×D4×C47C2312yes—
804C4×D4×C47C2314yes—
805C4×D4×C47C2312yes—
806#117×C47C2312yes—
807#117×C47C2312yes—
808C2×C4⋊C4×C47C2314yes—
809C2×C42×C47C2311yescharacteristic
810C23×D47C2411yescharacteristic
811#41×C47—44no—
812#41×C47—44no—
813C2×Q8×C47—44no—
814C2×Q8×C47C2411yescharacteristic
815C2×Q8×C47C2411yescharacteristic
816C2×Q8×C47C2412yes—
817C2×Q8×C47C2411yescharacteristic
818C2×Q8×C47C2412yes—
819C2×Q8×C47C2414yes—
820C2×D4×C47C2412yes—
821C2×D4×C47C2411yescharacteristic
822C2×D4×C47C2412yes—
823C2×D4×C47C2412yes—
824C2×D4×C47C2412yes—
825C2×D4×C47C2414yes—
826C2×D4×C47C2414yes—
827C2×D4×C47C2414yes—
828C22×C4×C47C2411yescharacteristic
829C22×C4×C47C2411yescharacteristic
830C22×C4×C47C2412yes—
831C22×C4×C47C2411yescharacteristic
832C22×C4×C47C2414yes—
833C22×C4×C47C2414yes—
834C22×C4×C47C2414yes—
835C22×C4×C47C2414yes—
836C2×C22⋊D47C2414yes—
837C2×C22⋊D47C2412yes—
838C2×C22⋊D47C2412yes—
839C2×C22⋊D47C2412yes—
840C2×C22⋊D47C2412yes—
841C2×C22⋊D47C2414yes—
842C2×C22⋊D47C2412yes—
843C2×C22⋊D47C2414yes—
844C2×C22⋊D47C2414yes—
845C22×Dic47C2414yes—
846C22×Dic47C2412yes—
847C22×Dic47C2411yescharacteristic
848C22×Dic47C2411yescharacteristic
849C22×Dic47C2414yes—
850C22×Dic47C2411yescharacteristic
851C22×Dic47C2414yes—
852C22×Dic47C2414yes—
853C22×Dic47C2412yes—
854C22×Dic47C2414yes—
855#10625354—24no—
856Q8×D47—44no—
857Q8×D47—42no—
858Q8×D47—42no—
859Q8×D47—44no—
860#10625352—24no—
861#10625352—28no—
862#10625352—44no—
863#10625352—44no—
864#10625352—48no—
865#10625352—44no—
866#10625350—44no—
867C2×D188C2412yes—
868C2×D188C2411yescharacteristic
869C2×D188C2412yes—
870C2×C4×D47—24no—
871C2×C4×D47—42no—
872C2×C4×D47—42no—
873C2×C4×D47C2412yes—
874C2×C4×D47C2411yescharacteristic
875C2×C4×D47C2411yescharacteristic
876C2×C4×D47C2411yescharacteristic
877C2×C4×D47C2411yescharacteristic
878C2×C4×D47C2411yescharacteristic
879C2×C4×D47C2411yescharacteristic
880C2×C4×D47C2411yescharacteristic
881C2×C4×D47C2412yes—
882C2×C4×D47C2411yescharacteristic
883C2×C4×D47C2411yescharacteristic
884C2×C4×D47C2411yescharacteristic
885C2×C4×D47C2411yescharacteristic
886C2×C4×D47C2412yes—
887C2×C4×D47C2412yes—
888C2×C4×D47C2412yes—
889C2×C4×D47C2412yes—
890C2×C4×D47C2412yes—
891C2×C4×D47C2414yes—
892C2×C4×D47C2414yes—
893C2×C4×D47C2411yescharacteristic
894C2×Dic94—48no—
895C2×Dic94C2412yes—
896C2×Dic94C2411yescharacteristic
897C2×Dic94C2412yes—
898C2×Dic94C2412yes—
899C2×Dic94C2412yes—
900C2×Dic94C2411yescharacteristic
901C2×Dic94C2411yescharacteristic
902C2×Dic94C2412yes—
903C2×Dic94C2414yes—
904C2×Dic94C2414yes—
905C2×Dic94C2412yes—
906C2×Dic94C2412yes—
907C2×Dic94C2414yes—
908C2×Dic94C2412yes—
909C2×Dic94C2412yes—
910C4⋊C4×C47C2412yes—
911C4⋊C4×C47C2412yes—
912C4⋊C4×C47C2414yes—
913C4⋊C4×C47C2414yes—
914C4⋊C4×C47C2412yes—
915C4⋊C4×C47C2412yes—
916C4⋊C4×C47C2412yes—
917C4⋊C4×C47C2412yes—
918C4⋊C4×C47C2411yescharacteristic
919C4⋊C4×C47C2411yescharacteristic
920C4⋊C4×C47C2412yes—
921C4⋊C4×C47C2412yes—
922C4⋊C4×C47C2411yescharacteristic
923C4⋊C4×C47C2412yes—
924C4⋊C4×C47C2411yescharacteristic
925C4⋊C4×C47C2412yes—
926C4⋊C4×C47C2414yes—
927C4⋊C4×C47C2412yes—
928C4⋊C4×C47C2412yes—
929C4⋊C4×C47C2414yes—
930C4⋊C4×C47C2412yes—
931C22⋊C4×C47C2412yes—
932C22⋊C4×C47C2412yes—
933C22⋊C4×C47C2412yes—
934C22⋊C4×C47C2412yes—
935C22⋊C4×C47C2412yes—
936C22⋊C4×C47C2412yes—
937C22⋊C4×C47C2414yes—
938C22⋊C4×C47C2414yes—
939C22⋊C4×C47C2414yes—
940C22⋊C4×C47C2414yes—
941C22⋊C4×C47C2414yes—
942C22⋊C4×C47C2412yes—
943C22⋊C4×C47C2414yes—
944C22⋊C4×C47C2414yes—
945C42×C47C2411yescharacteristic
946C42×C47C2411yescharacteristic
947C42×C47C2411yescharacteristic
948C42×C47C2411yescharacteristic
949C42×C47C2412yes—
950C42×C47C2412yes—
951C42×C47C2412yes—
952C42×C47C2414yes—
953C22⋊Dic47C2412yes—
954C22⋊Dic47C2412yes—
955C22⋊Dic47C2414yes—
956C22⋊Dic47C2412yes—
957C22⋊Dic47C2414yes—
958C22⋊Dic47C2414yes—
959C22⋊Dic47C2414yes—
960C22⋊Dic47C2414yes—
961C22⋊Dic47C2414yes—
962C22⋊Dic47C2414yes—
963C22⋊Dic47C2412yes—
964C22⋊Dic47C2414yes—
965C22⋊Dic47C2412yes—
966C22⋊Dic47C2414yes—
967C22⋊Dic47C2414yes—
968C22⋊Dic47C2414yes—
969C22⋊Dic47C2414yes—
970(C2×D47)⋊C4C2412yes—
971(C2×D47)⋊C4C2412yes—
972(C2×D47)⋊C4C2412yes—
973(C2×D47)⋊C4C2412yes—
974(C2×D47)⋊C4C2412yes—
975(C2×D47)⋊C4C2412yes—
976(C2×D47)⋊C4C2412yes—
977(C2×D47)⋊C4C2412yes—
978(C2×D47)⋊C4C2412yes—
979(C2×D47)⋊C4C2412yes—
980(C2×D47)⋊C4C2414yes—
981(C2×D47)⋊C4C2412yes—
982(C2×D47)⋊C4C2414yes—
983(C2×D47)⋊C4C2414yes—
984(C2×D47)⋊C4C2414yes—
985(C2×D47)⋊C4C2412yes—
986(C2×D47)⋊C4C2412yes—
987(C2×D47)⋊C4C2414yes—
988(C2×D47)⋊C4C2414yes—
989(C2×D47)⋊C4C2412yes—
990C4⋊Dic47C2411yescharacteristic
991C4⋊Dic47C2412yes—
992C4⋊Dic47C2412yes—
993C4⋊Dic47C2414yes—
994C4⋊Dic47C2412yes—
995C4⋊Dic47C2412yes—
996C4⋊Dic47C2411yescharacteristic
997C4⋊Dic47C2412yes—
998C4⋊Dic47C2412yes—
999C4⋊Dic47C2412yes—
1000C4⋊Dic47C2412yes—
1001C4⋊Dic47C2414yes—
1002C4⋊Dic47C2414yes—
1003C4⋊Dic47C2414yes—
1004C4⋊Dic47C2412yes—
1005C4⋊Dic47C2411yescharacteristic
1006C4⋊Dic47C2412yes—
1007C4⋊Dic47C2411yescharacteristic
1008C4⋊Dic47C2414yes—
1009C4⋊Dic47C2412yes—
1010C4⋊Dic47C2412yes—
1011C4⋊Dic47C2412yes—
1012C4⋊Dic47C2414yes—
1013C4⋊Dic47C2414yes—
1014C4⋊Dic47C2414yes—
1015Dic47⋊C4C2412yes—
1016Dic47⋊C4C2412yes—
1017Dic47⋊C4C2412yes—
1018Dic47⋊C4C2412yes—
1019Dic47⋊C4C2412yes—
1020Dic47⋊C4C2412yes—
1021Dic47⋊C4C2412yes—
1022Dic47⋊C4C2412yes—
1023Dic47⋊C4C2412yes—
1024Dic47⋊C4C2412yes—
1025Dic47⋊C4C2412yes—
1026Dic47⋊C4C2412yes—
1027Dic47⋊C4C2414yes—
1028Dic47⋊C4C2412yes—
1029Dic47⋊C4C2412yes—
1030Dic47⋊C4C2412yes—
1031Dic47⋊C4C2414yes—
1032Dic47⋊C4C2412yes—
1033Dic47⋊C4C2412yes—
1034Dic47⋊C4C2412yes—
1035Dic47⋊C4C2414yes—
1036Dic47⋊C4C2414yes—
1037Dic47⋊C4C2414yes—
1038Dic47⋊C4C2414yes—
1039Dic47⋊C4C2412yes—
1040Dic47⋊C4C2414yes—
1041Dic47⋊C4C2414yes—
1042Dic47⋊C4C2412yes—
1043Dic47⋊C4C2414yes—
1044Dic47⋊C4C2414yes—
1045Dic47⋊C4C2414yes—
1046Dic47⋊C4C2414yes—
1047Dic47⋊C4C2414yes—
1048Dic47⋊C4C2412yes—
1049Dic47⋊C4C2414yes—
1050Dic47⋊C4C2414yes—
1051Dic47⋊C4C2414yes—
1052Dic47⋊C4C2412yes—
1053Dic47⋊C4C2414yes—
1054Dic47⋊C4C2414yes—
1055Dic47⋊C4C2412yes—
1056Dic47⋊C4C2412yes—
1057Dic47⋊C4C2412yes—
1058Dic47⋊C4C2412yes—
1059C4×Dic47C2411yescharacteristic
1060C4×Dic47C2412yes—
1061C4×Dic47C2411yescharacteristic
1062C4×Dic47C2411yescharacteristic
1063C4×Dic47C2411yescharacteristic
1064C4×Dic47C2411yescharacteristic
1065C4×Dic47C2411yescharacteristic
1066C4×Dic47C2411yescharacteristic
1067C4×Dic47C2411yescharacteristic
1068C4×Dic47C2411yescharacteristic
1069C4×Dic47C2411yescharacteristic
1070C4×Dic47C2411yescharacteristic
1071C4×Dic47C2411yescharacteristic
1072C4×Dic47C2412yes—
1073C4×Dic47C2412yes—
1074C4×Dic47C2412yes—
1075C4×Dic47C2414yes—
1076C4×Dic47C2412yes—
1077C4×Dic47C2412yes—
1078C4×Dic47C2414yes—
1079C4×Dic47C2412yes—
1080C4×Dic47C2412yes—
1081C4×Dic47C2412yes—
1082C4×Dic47C2412yes—
1083C4×Dic47C2414yes—
1084C4×Dic47C2414yes—
1085C4×Dic47C2414yes—
1086C4×Dic47C2414yes—
1087C4×Dic47C2412yes—
1088C4×Dic47C2414yes—
1089C4×Dic47C2414yes—
1090C4×Dic47C2414yes—
1091C4×Dic47C2414yes—
1092C23×C47C2511yescharacteristic
1093C23×C47C2514yes—
1094C23×C47C2512yes—
1095C22×D47—22no—
1096C22×D47—41no—
1097C22×D47—41no—
1098C22×D47C2511yescharacteristic
1099C22×D47C2512yes—
1100C22×D47C2511yescharacteristic
1101Q8×C47—22no—
1102Q8×C47—22no—
1103Q8×C47—24no—
1104Q8×C47—22no—
1105Q8×C47—42no—
1106Q8×C47—44no—
1107D4×C47—24no—
1108D4×C47—22no—
1109D4×C47—24no—
1110D4×C47—42no—
1111D4×C47—44no—
1112D4×C47—42no—
1113D4×C47—44no—
1114D4×C47—44no—
1115C2×C4×C47—22no—
1116C2×C4×C47—22no—
1117C2×C4×C47—24no—
1118C2×C4×C47—44no—
1119C2×C4×C47—41no—
1120C2×C4×C47—44no—
1121C2×C4×C47—44no—
1122C2×C4×C47—44no—
1123C2×C4×C47C2511yescharacteristic
1124C2×C4×C47C2512yes—
1125C2×C4×C47C2512yes—
1126C2×C4×C47C2512yes—
1127C2×C4×C47C2514yes—
1128C2×C4×C47C2512yes—
1129C2×C4×C47C2512yes—
1130C2×C4×C47C2512yes—
1131C2×C4×C47C2511yescharacteristic
1132C2×C4×C47C2511yescharacteristic
1133C2×C4×C47C2511yescharacteristic
1134C2×C4×C47C2512yes—
1135C2×C4×C47C2511yescharacteristic
1136C2×C4×C47C2511yescharacteristic
1137C22⋊D47—28no—
1138C22⋊D47—24no—
1139C22⋊D47—24no—
1140C22⋊D47—42no—
1141C22⋊D47—42no—
1142C22⋊D47—42no—
1143C22⋊D47—44no—
1144C22⋊D47—44no—
1145C22⋊D47—44no—
1146C2×Dic47—22no—
1147C2×Dic47—28no—
1148C2×Dic47—24no—
1149C2×Dic47—28no—
1150C2×Dic47—22no—
1151C2×Dic47—44no—
1152C2×Dic47—41no—
1153C2×Dic47—42no—
1154C2×Dic47—44no—
1155C2×Dic47—44no—
1156C2×Dic47C2511yescharacteristic
1157C2×Dic47C2512yes—
1158C2×Dic47C2514yes—
1159C2×Dic47C2512yes—
1160C2×Dic47C2511yescharacteristic
1161C2×Dic47C2512yes—
1162C2×Dic47C2511yescharacteristic
1163C2×Dic47C2511yescharacteristic
1164C2×Dic47C2512yes—
1165C2×Dic47C2512yes—
1166C2×Dic47C2512yes—
1167C2×Dic47C2514yes—
1168C2×Dic47C2512yes—
1169C2×Dic47C2511yescharacteristic
1170C2×Dic47C2511yescharacteristic
1171D188—24no—
1172D188—22no—
1173D188—42no—
1174C4×D47—22no—
1175C4×D47—22no—
1176C4×D47—22no—
1177C4×D47—22no—
1178C4×D47—24no—
1179C4×D47—22no—
1180C4×D47—24no—
1181C4×D47—22no—
1182C4×D47—22no—
1183C4×D47—41no—
1184C4×D47—41no—
1185C4×D47—41no—
1186C4×D47—41no—
1187C4×D47—44no—
1188C4×D47—42no—
1189C4×D47—42no—
1190C4×D47—44no—
1191C4×D47—42no—
1192C4×D47—42no—
1193C4×D47—42no—
1194C4×D472−1+414yes—
1195Dic94—24no—
1196Dic94—22no—
1197Dic94—22no—
1198Dic94—22no—
1199Dic94—24no—
1200Dic94—24no—
1201Dic94—24no—
1202Dic94—44no—
1203Dic94—44no—
1204Dic94—42no—
1205Dic94—42no—
1206Dic94—42no—
1207Dic94—44no—
1208Dic94—42no—
1209Dic94—42no—
1210#62761—471nomaximal, Sylow
1211C22×C47—24no—
1212C22×C47—22no—
1213C22×C47—21no—
1214C22×C47—24no—
1215C22×C47—21no—
1216C22×C47—22no—
1217C22×C47—24no—
1218C22×C47—21no—
1219C22×C47—22no—
1220C22×C47C2611yescharacteristic
1221C2×D47—21no—
1222C2×D47—21no—
1223C2×D47—21no—
1224C2×D47—22no—
1225C2×D47—22no—
1226C2×D47—21no—
1227C2×D47—21no—
1228C2×D47—22no—
1229C2×D47—44no—
1230C2×D47C2×2−1+412yes—
1231C4×C47—21no—
1232C4×C47—22no—
1233C4×C47—22no—
1234C4×C47—22no—
1235C4×C47—22no—
1236C4×C47—21no—
1237C4×C47—21no—
1238C4×C47—22no—
1239C4×C47—24no—
1240C4×C47—22no—
1241C4×C47—22no—
1242C4×C47—21no—
1243C4×C47C2×2−1+412yes—
1244C4×C47#58512yes—
1245Dic47—22no—
1246Dic47—24no—
1247Dic47—21no—
1248Dic47—22no—
1249Dic47—22no—
1250Dic47—22no—
1251Dic47—22no—
1252Dic47—22no—
1253Dic47—21no—
1254Dic47—22no—
1255Dic47—24no—
1256Dic47—21no—
1257Dic47—21no—
1258Dic47C2×2−1+412yes—
1259Dic47#58512yes—
1260#3557—472no—
1261#3557—472no—
1262#3556—471no—
1263#3555—472no—
1264#3555—471no—
1265#3555—471no—
1266#3554—472no—
1267#3554—471no—
1268#3554D4711yescharacteristic, complemented
1269#3553—474no—
1270#3552—472no—
1271#3552—472no—
1272#3550—471no—
1273#3550—471no—
1274#3548—471no—
1275#3541—474no—
1276#3541—472no—
1277#3541—472no—
1278#3531—474no—
1279#3482—472no—
1280#3482—472no—
1281#3480—471no—
1282#3480—472no—
1283#3480—471no—
1284Q8×#41—471no—
1285Q8×#41—472no—
1286Q8×#41—471no—
1287#3461—472no—
1288#3461—474no—
1289#3461—472no—
1290#3455—472no—
1291#3455—472no—
1292#3444—471no—
1293#3444—471no—
1294C2×#533—471no—
1295C2×C47—41no—
1296C2×C47—44no—
1297C2×C47—42no—
1298C2×C47C22×2−1+411yescharacteristic
1299C2×C47C2×#58511yescharacteristic
1300C2×C47C2×#58511yescharacteristic
1301D47—22no—
1302D47—42no—
1303D47—41no—
1304#564—474no—
1305#563—474no—
1306#563—474no—
1307#563—474no—
1308#563—474no—
1309#563—474no—
1310#563—474no—
1311#563—474no—
1312#563—474no—
1313#563—474no—
1314#563—474no—
1315#562—474no—
1316#562—474no—
1317#562—474no—
1318#562—474no—
1319#562C2×D4714yes—
1320#559—471no—
1321#559—472no—
1322#559—472no—
1323#559—472no—
1324#559—472no—
1325#559C2×D4711yescharacteristic, complemented
1326#559C2×D4712yescomplemented
1327Q82—472no—
1328Q82—471no—
1329Q82—471no—
1330#557—471no—
1331#557—472no—
1332#557—472no—
1333#557—472no—
1334#557—472no—
1335#557—472no—
1336#557—472no—
1337#557—472no—
1338#557—472no—
1339#557—471no—
1340#557—471no—
1341#557C2×D4711yescharacteristic, complemented
1342#556—474no—
1343#556—472no—
1344#556—472no—
1345#556—472no—
1346#556—472no—
1347#556—472no—
1348#556—472no—
1349#556—471no—
1350#556—472no—
1351#556—472no—
1352#556—471no—
1353#556—472no—
1354#554—474no—
1355#554—472no—
1356#554—474no—
1357#554—474no—
1358#554—472no—
1359#554—474no—
1360#554—472no—
1361#554—471no—
1362#554—471no—
1363#554—472no—
1364#554—472no—
1365#554—472no—
1366#554—474no—
1367#554C2×D4712yescomplemented
1368#553—474no—
1369#553—474no—
1370#553—474no—
1371#553—472no—
1372#553—474no—
1373#553—472no—
1374#553—474no—
1375#552—474no—
1376#552—474no—
1377#552—472no—
1378#552—474no—
1379#552—472no—
1380#552—474no—
1381#552—474no—
1382#550—472no—
1383#550—471no—
1384#550C2×D4711yescharacteristic, complemented
1385D4×Q8—472no—
1386D4×Q8—472no—
1387D4×Q8—472no—
1388D4×Q8—471no—
1389D4×Q8—474no—
1390D4×Q8—472no—
1391D4×Q8—472no—
1392D4×Q8C2×D4711yescharacteristic, complemented
1393#548—472no—
1394#548—472no—
1395#548—474no—
1396#548—472no—
1397#548—474no—
1398#548C2×D4712yes—
1399#547—472no—
1400#547—472no—
1401#547—474no—
1402#547—472no—
1403#547C2×D4712yes—
1404#544—472no—
1405#544—474no—
1406#544—472no—
1407#542—472no—
1408#542—474no—
1409#542—472no—
1410#542—472no—
1411#542—472no—
1412#542—474no—
1413#542—474no—
1414#542—474no—
1415#542—474no—
1416#542—474no—
1417#542—472no—
1418#542—472no—
1419#542—472no—
1420#542—472no—
1421#542—472no—
1422#542—472no—
1423#542C2×D4712yes—
1424#542C2×D4712yescomplemented
1425#541—472no—
1426#541—472no—
1427#541—474no—
1428#541—474no—
1429#541—474no—
1430#541—474no—
1431#541—474no—
1432#541—472no—
1433#541—472no—
1434#541—474no—
1435#541—472no—
1436#541—472no—
1437#541—472no—
1438#541—472no—
1439#540—472no—
1440#540—472no—
1441#540—472no—
1442#540C2×D4712yes—
1443#539—474no—
1444#539—474no—
1445#539—474no—
1446#539—474no—
1447#539—474no—
1448#539—474no—
1449#539—474no—
1450#539—474no—
1451#539—474no—
1452#539—474no—
1453#539—474no—
1454#539C2×D4714yescomplemented
1455#538—474no—
1456#538—474no—
1457#538—474no—
1458#538—474no—
1459#537—472no—
1460#537—474no—
1461#537—472no—
1462#536—472no—
1463#536—472no—
1464#536—474no—
1465#536—474no—
1466#536—472no—
1467#536C2×D4712yescomplemented
1468#533—471no—
1469#533—471no—
1470#533—471no—
1471#533—471no—
1472#533—472no—
1473#533—472no—
1474#533—472no—
1475#533—471no—
1476#533—472no—
1477#533—474no—
1478#533—471no—
1479#533—471no—
1480#533—472no—
1481#533—471no—
1482#533—472no—
1483#533—474no—
1484#533—474no—
1485#533—474no—
1486#533—474no—
1487#533—471no—
1488#533—471no—
1489#533—472no—
1490#533—471no—
1491#533—472no—
1492#533—471no—
1493#533—471no—
1494#533C2×D4711yescharacteristic
1495#532—471no—
1496#532—471no—
1497#532—472no—
1498#532—471no—
1499#532—472no—
1500#532—471no—
1501#532—471no—
1502#532C2×D4711yescharacteristic
1503C2×C4⋊Q8—471no—
1504C2×C4⋊Q8—471no—
1505#529—472no—
1506#529—472no—
1507#529—474no—
1508#529—471no—
1509#529—472no—
1510#529—472no—
1511#529—471no—
1512#529—474no—
1513#529—472no—
1514#529—474no—
1515#529—472no—
1516#529—474no—
1517#529—474no—
1518#529—474no—
1519#529—474no—
1520#529—474no—
1521#529—474no—
1522#529—474no—
1523#529—472no—
1524#529—472no—
1525#529—474no—
1526#529—474no—
1527#529—472no—
1528#529—474no—
1529#529—472no—
1530#529—472no—
1531#529—472no—
1532#529—471no—
1533#529C2×D4711yescharacteristic
1534C2×#125—472no—
1535#525—472no—
1536#525—472no—
1537#525—471no—
1538#525—472no—
1539#525—471no—
1540#525—472no—
1541#525—472no—
1542C2×C22⋊Q8—471no—
1543C2×C22⋊Q8—471no—
1544C2×C22⋊Q8—472no—
1545C4×#41—472no—
1546C4×#41—472no—
1547C4×#41—471no—
1548C4×#41—472no—
1549C4×#41—472no—
1550C4×#41—472no—
1551C4×#41—471no—
1552C4×#41—472no—
1553C4×#41—472no—
1554C4×#41—472no—
1555C4×#41—472no—
1556C4×#41—474no—
1557C4×#41—472no—
1558C4×#41—472no—
1559C2×C4×Q8—472no—
1560C2×C4×Q8—471no—
1561C2×C4×Q8—471no—
1562C2×C4×Q8—472no—
1563C2×C4×Q8—472no—
1564C2×C4×Q8—474no—
1565C2×#117—472no—
1566C22×C42—471no—
1567C47#6276111yescharacteristic, complemented, Sylow
1568C2×#41—471no—
1569C2×#41—472no—
1570C2×#41—471no—
1571C2×#41—472no—
1572C2×#41—472no—
1573C2×#41—474no—
1574C2×#41—472no—
1575C2×#41—472no—
1576C2×#41C22×D4712yes—
1577C2×#41C22×D4712yes—
1578C22×Q8—472no—
1579C22×Q8—471no—
1580C22×Q8—471no—
1581C22×Q8—472no—
1582C22×Q8—474no—
1583C22×Q8C22×D4712yes—
1584C23×C4—471no—
1585C23×C4—471no—
1586C23×C4—471no—
1587C4⋊Q8—471no—
1588C4⋊Q8—471no—
1589C4⋊Q8—472no—
1590C4⋊Q8—471no—
1591C4⋊Q8—472no—
1592C4⋊Q8—472no—
1593C4⋊Q8—474no—
1594C4⋊Q8—474no—
1595C4⋊Q8—474no—
1596C4⋊Q8—474no—
1597C4⋊Q8—472no—
1598C4⋊Q8—472no—
1599C4⋊Q8—471no—
1600C4⋊Q8—471no—
1601C4⋊Q8—472no—
1602C4⋊Q8—471no—
1603C4⋊Q8—471no—
1604C4⋊Q8—474no—
1605C4⋊Q8—474no—
1606C4⋊Q8—474no—
1607C4⋊Q8—474no—
1608C4⋊Q8—472no—
1609C4⋊Q8—472no—
1610C4⋊Q8—472no—
1611C4⋊Q8—474no—
1612C4⋊Q8—474no—
1613C4⋊Q8—471no—
1614C4⋊Q8—471no—
1615C4⋊Q8—471no—
1616C4⋊Q8—471no—
1617C4⋊Q8—472no—
1618C4⋊Q8—472no—
1619C4⋊Q8—472no—
1620C4⋊Q8C22×D4711yescharacteristic
1621C4⋊Q8C22×D4711yescharacteristic
1622C4⋊Q8C22×D4711yescharacteristic
1623C4⋊Q8C22×D4712yes—
1624C4⋊Q8C22×D4712yes—
1625#127—471no—
1626#127—472no—
1627#127C22×D4711yescharacteristic
1628#127C22×D4712yes—
1629#126—472no—
1630#126—474no—
1631#126—474no—
1632#126—474no—
1633#126—474no—
1634#126—474no—
1635#126—474no—
1636#126—474no—
1637#126—474no—
1638#126—474no—
1639#126—472no—
1640#126—474no—
1641#126—474no—
1642#126—474no—
1643#126—474no—
1644#126—474no—
1645#126—474no—
1646#126—474no—
1647#126—474no—
1648#126—474no—
1649#126—474no—
1650#126—474no—
1651#126—474no—
1652#126—474no—
1653#126—474no—
1654#126—474no—
1655#126—474no—
1656#126—474no—
1657#126—474no—
1658#126—474no—
1659#126—472no—
1660#126—474no—
1661#126C22×D4712yes—
1662#126C22×D4714yes—
1663#125—472no—
1664#125—472no—
1665#125—472no—
1666#125—472no—
1667#125—472no—
1668#125—472no—
1669#125—472no—
1670#125—472no—
1671#125—472no—
1672#125—472no—
1673#125—474no—
1674#125—474no—
1675#125—474no—
1676#125—474no—
1677#125—474no—
1678#125—474no—
1679#125—474no—
1680#125—474no—
1681#125—474no—
1682#125—474no—
1683#125—474no—
1684#125—472no—
1685#125—474no—
1686#125—474no—
1687#125—474no—
1688#125—474no—
1689#125—474no—
1690#125—474no—
1691#125—474no—
1692#125—474no—
1693#125—474no—
1694#125—474no—
1695#125—472no—
1696#125—472no—
1697#125—472no—
1698#125—472no—
1699#125—471no—
1700#125—474no—
1701#125—474no—
1702#125—472no—
1703#125—474no—
1704#125—472no—
1705#125C22×D4712yes—
1706#125C22×D4711yescharacteristic
1707#125C22×D4714yes—
1708#125C22×D4712yes—
1709#124—474no—
1710#124—472no—
1711#124—472no—
1712#124—472no—
1713#124—474no—
1714#124—474no—
1715#124—474no—
1716#124—472no—
1717#124—472no—
1718#124—472no—
1719#124—472no—
1720#124—474no—
1721#124—474no—
1722#124—474no—
1723#124—474no—
1724#124—474no—
1725#124—474no—
1726#124—474no—
1727#124—471no—
1728#124—472no—
1729#124C22×D4712yes—
1730#124C22×D4711yescharacteristic
1731#124C22×D4712yes—
1732#124C22×D4714yes—
1733#124C22×D4714yes—
1734#124C22×D4712yes—
1735#123—474no—
1736#123—474no—
1737#123—474no—
1738#123—474no—
1739#123—474no—
1740#123—474no—
1741#123—474no—
1742#123—474no—
1743#123—472no—
1744#123—474no—
1745#123—474no—
1746#123—474no—
1747#123—474no—
1748#123—474no—
1749#123—474no—
1750#123—472no—
1751#123—472no—
1752#123—474no—
1753#123—474no—
1754#123—472no—
1755#123—474no—
1756#123—472no—
1757#123—474no—
1758#123—474no—
1759#123—474no—
1760#123—474no—
1761#123—474no—
1762#123—474no—
1763#123—474no—
1764#123—474no—
1765#123C22×D4712yes—
1766#123C22×D4714yes—
1767#123C22×D4714yes—
1768#123C22×D4714yes—
1769#123C22×D4714yes—
1770#123C22×D4714yes—
1771#123C22×D4714yes—
1772C22⋊Q8—471no—
1773C22⋊Q8—471no—
1774C22⋊Q8—472no—
1775C22⋊Q8—472no—
1776C22⋊Q8—471no—
1777C22⋊Q8—472no—
1778C22⋊Q8—472no—
1779C22⋊Q8—474no—
1780C22⋊Q8—474no—
1781C22⋊Q8—472no—
1782C22⋊Q8—472no—
1783C22⋊Q8—474no—
1784C22⋊Q8—471no—
1785C22⋊Q8—471no—
1786C22⋊Q8—472no—
1787C22⋊Q8—472no—
1788C22⋊Q8—471no—
1789C22⋊Q8—472no—
1790C22⋊Q8—472no—
1791C22⋊Q8—474no—
1792C22⋊Q8—474no—
1793C22⋊Q8—474no—
1794C22⋊Q8—472no—
1795C22⋊Q8—474no—
1796C22⋊Q8—474no—
1797C22⋊Q8—474no—
1798C22⋊Q8—474no—
1799C22⋊Q8—472no—
1800C22⋊Q8—471no—
1801C22⋊Q8—472no—
1802C22⋊Q8—471no—
1803C22⋊Q8—472no—
1804C22⋊Q8—472no—
1805C22⋊Q8—472no—
1806C22⋊Q8—472no—
1807C22⋊Q8—472no—
1808C22⋊Q8—471no—
1809C22⋊Q8—472no—
1810C22⋊Q8—472no—
1811C22⋊Q8—472no—
1812C22⋊Q8—474no—
1813C22⋊Q8—474no—
1814C22⋊Q8—474no—
1815C22⋊Q8—474no—
1816C22⋊Q8—474no—
1817C22⋊Q8—474no—
1818C22⋊Q8—474no—
1819C22⋊Q8—474no—
1820C22⋊Q8—474no—
1821C22⋊Q8—472no—
1822C22⋊Q8—472no—
1823C22⋊Q8—472no—
1824C22⋊Q8—472no—
1825C22⋊Q8—472no—
1826C22⋊Q8—474no—
1827C22⋊Q8—474no—
1828C22⋊Q8—474no—
1829C22⋊Q8—474no—
1830C22⋊Q8—474no—
1831C22⋊Q8—474no—
1832C22⋊Q8—474no—
1833C22⋊Q8—474no—
1834C22⋊Q8—474no—
1835C22⋊Q8—474no—
1836C22⋊Q8—474no—
1837C22⋊Q8—474no—
1838C22⋊Q8—474no—
1839C22⋊Q8—474no—
1840C22⋊Q8—474no—
1841C22⋊Q8C22×D4711yescharacteristic
1842C22⋊Q8C22×D4711yescharacteristic
1843C22⋊Q8C22×D4712yes—
1844C22⋊Q8C22×D4711yescharacteristic
1845C22⋊Q8C22×D4714yes—
1846C22⋊Q8C22×D4712yes—
1847C22⋊Q8C22×D4714yes—
1848C22⋊Q8C22×D4714yes—
1849C22⋊Q8C22×D4714yes—
1850C22⋊Q8C22×D4714yes—
1851#121—472no—
1852#121—471no—
1853#121—472no—
1854#121—472no—
1855#121—472no—
1856#121—472no—
1857#121—474no—
1858#121—474no—
1859#121—474no—
1860#121—474no—
1861#121—474no—
1862#121—472no—
1863#121—474no—
1864#121—474no—
1865#121—474no—
1866#121—474no—
1867#121—474no—
1868#121—471no—
1869#121—474no—
1870#121—471no—
1871#121—472no—
1872#121—472no—
1873#121—472no—
1874#121—474no—
1875#121—474no—
1876#121—474no—
1877#121C22×D4712yes—
1878#121C22×D4712yes—
1879#121C22×D4711yescharacteristic
1880#121C22×D4714yes—
1881#121C22×D4712yes—
1882#121C22×D4714yes—
1883#121C22×D4714yes—
1884#120—474no—
1885#120—472no—
1886#120—472no—
1887C4×Q8—471no—
1888C4×Q8—472no—
1889C4×Q8—471no—
1890C4×Q8—472no—
1891C4×Q8—474no—
1892C4×Q8—472no—
1893C4×Q8—472no—
1894C4×Q8—474no—
1895C4×Q8—472no—
1896C4×Q8—471no—
1897C4×Q8—472no—
1898C4×Q8—472no—
1899C4×Q8—472no—
1900C4×Q8—471no—
1901C4×Q8—472no—
1902C4×Q8—471no—
1903C4×Q8—472no—
1904C4×Q8—472no—
1905C4×Q8—472no—
1906C4×Q8—474no—
1907C4×Q8—474no—
1908C4×Q8—474no—
1909C4×Q8—472no—
1910C4×Q8—474no—
1911C4×Q8—474no—
1912C4×Q8—474no—
1913C4×Q8—474no—
1914C4×Q8—472no—
1915C4×Q8—472no—
1916C4×Q8—472no—
1917C4×Q8—471no—
1918C4×Q8—472no—
1919C4×Q8—472no—
1920C4×Q8—472no—
1921C4×Q8—472no—
1922C4×Q8—472no—
1923C4×Q8—471no—
1924C4×Q8—472no—
1925C4×Q8—471no—
1926C4×Q8—472no—
1927C4×Q8—472no—
1928C4×Q8—472no—
1929C4×Q8—472no—
1930C4×Q8—474no—
1931C4×Q8—472no—
1932C4×Q8—472no—
1933C4×Q8—472no—
1934C4×Q8—471no—
1935C4×Q8—474no—
1936C4×Q8—472no—
1937C4×Q8—472no—
1938C4×Q8—472no—
1939C4×Q8—472no—
1940C4×Q8C22×D4711yescharacteristic
1941C4×Q8C22×D4711yescharacteristic
1942C4×Q8C22×D4712yes—
1943C4×Q8C22×D4712yes—
1944C4×Q8C22×D4711yescharacteristic
1945C4×Q8C22×D4712yes—
1946C4×D4—472no—
1947C4×D4—474no—
1948C4×D4—472no—
1949C4×D4—474no—
1950C4×D4—474no—
1951C4×D4—474no—
1952C4×D4—472no—
1953C4×D4—472no—
1954C4×D4—472no—
1955C4×D4—471no—
1956C4×D4—474no—
1957C4×D4—472no—
1958C4×D4—472no—
1959C4×D4—472no—
1960C4×D4—472no—
1961C4×D4—474no—
1962C4×D4—472no—
1963C4×D4—472no—
1964C4×D4—474no—
1965C4×D4—472no—
1966C4×D4—474no—
1967C4×D4—474no—
1968C4×D4—474no—
1969C4×D4—474no—
1970C4×D4—474no—
1971C4×D4—474no—
1972C4×D4—472no—
1973C4×D4—472no—
1974C4×D4—472no—
1975C4×D4—471no—
1976C4×D4—474no—
1977C4×D4—472no—
1978C4×D4—472no—
1979C4×D4—474no—
1980C4×D4—472no—
1981C4×D4—472no—
1982C4×D4—472no—
1983C4×D4—474no—
1984C4×D4—472no—
1985C4×D4—474no—
1986C4×D4—474no—
1987C4×D4—472no—
1988C4×D4—472no—
1989C4×D4—474no—
1990C4×D4—474no—
1991C4×D4—474no—
1992C4×D4—472no—
1993C4×D4—471no—
1994C4×D4—474no—
1995C4×D4—472no—
1996C4×D4C22×D4712yes—
1997C4×D4C22×D4712yes—
1998C4×D4C22×D4712yes—
1999C4×D4C22×D4711yescharacteristic
2000C4×D4C22×D4714yes—
2001C4×D4C22×D4712yes—
2002C4×D4C22×D4712yes—
2003C4×D4C22×D4712yes—
2004C4×D4C22×D4712yes—
2005#117—472no—
2006#117—472no—
2007#117—474no—
2008#117—472no—
2009#117—474no—
2010#117—472no—
2011#117—472no—
2012#117—472no—
2013#117—471no—
2014#117—471no—
2015#117—472no—
2016#117—472no—
2017#117—474no—
2018#117—472no—
2019#117—472no—
2020#117—474no—
2021#117—472no—
2022#117—472no—
2023#117—472no—
2024#117—474no—
2025#117—474no—
2026#117—474no—
2027#117—474no—
2028#117—472no—
2029#117—474no—
2030#117—472no—
2031#117—474no—
2032#117—474no—
2033#117—474no—
2034#117—472no—
2035#117—472no—
2036#117—472no—
2037#117—472no—
2038#117C22×D4712yes—
2039#117C22×D4712yes—
2040C2×C4⋊C4—474no—
2041C2×C4⋊C4—472no—
2042C2×C4⋊C4—474no—
2043C2×C4⋊C4—474no—
2044C2×C4⋊C4—472no—
2045C2×C4⋊C4—472no—
2046C2×C4⋊C4—472no—
2047C2×C4⋊C4—472no—
2048C2×C4⋊C4—472no—
2049C2×C4⋊C4—472no—
2050C2×C4⋊C4—472no—
2051C2×C4⋊C4—471no—
2052C2×C4⋊C4—471no—
2053C2×C4⋊C4—472no—
2054C2×C4⋊C4—474no—
2055C2×C4⋊C4C22×D4714yes—
2056C2×C22⋊C4—472no—
2057C2×C22⋊C4—472no—
2058C2×C42—474no—
2059C2×C42—472no—
2060C2×C42—474no—
2061C2×C42—474no—
2062C2×C42—474no—
2063C2×C42—471no—
2064C2×C42—471no—
2065C2×C42—471no—
2066C2×C42—472no—
2067C2×C42—472no—
2068C2×C42—471no—
2069C2×C42—471no—
2070C2×C42—472no—
2071C2×C42—474no—
2072C2×C42—471no—
2073C2×C42—471no—
2074C2×C42—471no—
2075C2×C42—471no—
2076C2×C42—471no—
2077C2×C42—471no—
2078C2×C42C22×D4711yescharacteristic
2079C24—471no—
2080#41—44no—
2081#41—44no—
2082#41—948no—
2083#41—944no—
2084#41—944no—
2085#41—1884no—
2086#41—1884no—
2087#41—1884no—
2088#41—1884no—
2089#41—1888no—
2090C2×Q8—44no—
2091C2×Q8—471no—
2092C2×Q8—472no—
2093C2×Q8—472no—
2094C2×Q8—471no—
2095C2×Q8—472no—
2096C2×Q8—472no—
2097C2×Q8—471no—
2098C2×Q8—472no—
2099C2×Q8—474no—
2100C2×Q8—474no—
2101C2×Q8—472no—
2102C2×Q8—472no—
2103C2×Q8—474no—
2104C2×Q8—472no—
2105C2×Q8—472no—
2106C2×Q8—1888no—
2107C2×Q8—1882no—
2108C2×Q8—1882no—
2109C2×Q8—1884no—
2110C2×Q8—1884no—
2111C2×Q8C23×D4711yescharacteristic
2112C2×Q8C23×D4711yescharacteristic
2113C2×Q8C23×D4712yes—
2114C2×Q8C23×D4711yescharacteristic
2115C2×Q8C23×D4714yes—
2116C2×Q8C23×D4712yes—
2117C2×D4—472no—
2118C2×D4—474no—
2119C2×D4—472no—
2120C2×D4—472no—
2121C2×D4—474no—
2122C2×D4—472no—
2123C2×D4—472no—
2124C2×D4—474no—
2125C2×D4—474no—
2126C2×D4—472no—
2127C2×D4—471no—
2128C2×D4—472no—
2129C2×D4C23×D4712yes—
2130C2×D4C23×D4711yescharacteristic
2131C2×D4C23×D4712yes—
2132C2×D4C23×D4714yes—
2133C2×D4C23×D4714yes—
2134C2×D4C23×D4712yes—
2135C2×D4C23×D4714yes—
2136C2×D4C23×D4712yes—
2137C22×C4—471no—
2138C22×C4—474no—
2139C22×C4—472no—
2140C22×C4—471no—
2141C22×C4—471no—
2142C22×C4—474no—
2143C22×C4—471no—
2144C22×C4—472no—
2145C22×C4—474no—
2146C22×C4—474no—
2147C22×C4—474no—
2148C22×C4—472no—
2149C22×C4—471no—
2150C22×C4—471no—
2151C22×C4—471no—
2152C22×C4—471no—
2153C22×C4—471no—
2154C22×C4—471no—
2155C22×C4—471no—
2156C22×C4—472no—
2157C22×C4—471no—
2158C22×C4—471no—
2159C22×C4—471no—
2160C22×C4—471no—
2161C22×C4—472no—
2162C22×C4—472no—
2163C22×C4—472no—
2164C22×C4—472no—
2165C22×C4—472no—
2166C22×C4—474no—
2167C22×C4—474no—
2168C22×C4—944no—
2169C22×C4—1882no—
2170C22×C4—1882no—
2171C22×C4C23×D4711yescharacteristic
2172C22×C4C23×D4711yescharacteristic
2173C22×C4C23×D4712yes—
2174C22×C4C23×D4711yescharacteristic
2175C22×C4C23×D4714yes—
2176C22×C4C23×D4714yes—
2177C22×C4C23×D4714yes—
2178C22×C4C23×D4714yes—
2179C4⋊C4—472no—
2180C4⋊C4—472no—
2181C4⋊C4—472no—
2182C4⋊C4—472no—
2183C4⋊C4—472no—
2184C4⋊C4—472no—
2185C4⋊C4—472no—
2186C4⋊C4—472no—
2187C4⋊C4—472no—
2188C4⋊C4—472no—
2189C4⋊C4—472no—
2190C4⋊C4—472no—
2191C4⋊C4—472no—
2192C4⋊C4—472no—
2193C4⋊C4—474no—
2194C4⋊C4—474no—
2195C4⋊C4—474no—
2196C4⋊C4—474no—
2197C4⋊C4—472no—
2198C4⋊C4—472no—
2199C4⋊C4—474no—
2200C4⋊C4—474no—
2201C4⋊C4—472no—
2202C4⋊C4—472no—
2203C4⋊C4—472no—
2204C4⋊C4—472no—
2205C4⋊C4—474no—
2206C4⋊C4—474no—
2207C4⋊C4—472no—
2208C4⋊C4—474no—
2209C4⋊C4—472no—
2210C4⋊C4—474no—
2211C4⋊C4—472no—
2212C4⋊C4—472no—
2213C4⋊C4—474no—
2214C4⋊C4—472no—
2215C4⋊C4—474no—
2216C4⋊C4—474no—
2217C4⋊C4—474no—
2218C4⋊C4—472no—
2219C4⋊C4—474no—
2220C4⋊C4—474no—
2221C4⋊C4—474no—
2222C4⋊C4—474no—
2223C4⋊C4—471no—
2224C4⋊C4—472no—
2225C4⋊C4—472no—
2226C4⋊C4—474no—
2227C4⋊C4—472no—
2228C4⋊C4—471no—
2229C4⋊C4—472no—
2230C4⋊C4—472no—
2231C4⋊C4—472no—
2232C4⋊C4—474no—
2233C4⋊C4—474no—
2234C4⋊C4—472no—
2235C4⋊C4—472no—
2236C4⋊C4—474no—
2237C4⋊C4—472no—
2238C4⋊C4—471no—
2239C4⋊C4—472no—
2240C4⋊C4—471no—
2241C4⋊C4—474no—
2242C4⋊C4—472no—
2243C4⋊C4—474no—
2244C4⋊C4—474no—
2245C4⋊C4—472no—
2246C4⋊C4—472no—
2247C4⋊C4—474no—
2248C4⋊C4C23×D4711yescharacteristic
2249C4⋊C4C23×D4712yes—
2250C4⋊C4C23×D4712yes—
2251C4⋊C4C23×D4711yescharacteristic
2252C4⋊C4C23×D4712yes—
2253C4⋊C4C23×D4712yes—
2254C4⋊C4C23×D4712yes—
2255C4⋊C4C23×D4714yes—
2256C4⋊C4C23×D4712yes—
2257C4⋊C4C23×D4712yes—
2258C4⋊C4C23×D4712yes—
2259C4⋊C4C23×D4714yes—
2260C4⋊C4C23×D4714yes—
2261C4⋊C4C23×D4712yes—
2262C4⋊C4C23×D4711yescharacteristic
2263C4⋊C4C23×D4712yes—
2264C4⋊C4C23×D4714yes—
2265C4⋊C4C23×D4711yescharacteristic
2266C4⋊C4C23×D4712yes—
2267C4⋊C4C23×D4712yes—
2268C4⋊C4C23×D4712yes—
2269C22⋊C4—472no—
2270C22⋊C4—472no—
2271C22⋊C4—474no—
2272C22⋊C4—472no—
2273C22⋊C4—474no—
2274C22⋊C4—474no—
2275C22⋊C4—474no—
2276C22⋊C4—474no—
2277C22⋊C4—474no—
2278C22⋊C4—472no—
2279C22⋊C4—472no—
2280C22⋊C4—474no—
2281C22⋊C4—474no—
2282C22⋊C4—474no—
2283C22⋊C4—474no—
2284C22⋊C4—474no—
2285C22⋊C4—474no—
2286C22⋊C4—472no—
2287C22⋊C4—472no—
2288C22⋊C4—472no—
2289C22⋊C4—472no—
2290C22⋊C4—472no—
2291C22⋊C4—472no—
2292C22⋊C4—474no—
2293C22⋊C4—472no—
2294C22⋊C4—474no—
2295C22⋊C4—472no—
2296C22⋊C4—472no—
2297C22⋊C4—474no—
2298C22⋊C4—472no—
2299C22⋊C4—474no—
2300C22⋊C4—472no—
2301C22⋊C4—472no—
2302C22⋊C4—472no—
2303C22⋊C4—474no—
2304C22⋊C4—474no—
2305C22⋊C4—472no—
2306C22⋊C4C23×D4712yes—
2307C22⋊C4C23×D4712yes—
2308C22⋊C4C23×D4712yes—
2309C22⋊C4C23×D4712yes—
2310C22⋊C4C23×D4714yes—
2311C22⋊C4C23×D4712yes—
2312C22⋊C4C23×D4714yes—
2313C22⋊C4C23×D4714yes—
2314C22⋊C4C23×D4714yes—
2315C22⋊C4C23×D4714yes—
2316C22⋊C4C23×D4714yes—
2317C22⋊C4C23×D4714yes—
2318C22⋊C4C23×D4712yes—
2319C22⋊C4C23×D4712yes—
2320C42—471no—
2321C42—471no—
2322C42—471no—
2323C42—472no—
2324C42—471no—
2325C42—472no—
2326C42—472no—
2327C42—474no—
2328C42—472no—
2329C42—472no—
2330C42—472no—
2331C42—471no—
2332C42—471no—
2333C42—471no—
2334C42—471no—
2335C42—471no—
2336C42—471no—
2337C42—471no—
2338C42—471no—
2339C42—472no—
2340C42—472no—
2341C42—474no—
2342C42—474no—
2343C42—472no—
2344C42—472no—
2345C42—472no—
2346C42—474no—
2347C42—474no—
2348C42—474no—
2349C42—474no—
2350C42—474no—
2351C42—474no—
2352C42—474no—
2353C42C23×D4711yescharacteristic
2354C42C23×D4711yescharacteristic
2355C42C23×D4711yescharacteristic
2356C42C23×D4711yescharacteristic
2357C42C23×D4712yes—
2358C42C23×D4712yes—
2359C42C23×D4712yes—
2360C42C23×D4714yes—
2361C23—471no—
2362C23—471no—
2363C23—472no—
2364C23—942no—
2365C23—1881no—
2366C23—1881no—
2367C23C24×D4711yescharacteristic
2368C23C24×D4714yes—
2369C23C24×D4712yes—
2370Q8—22no—
2371Q8—22no—
2372Q8—24no—
2373Q8—22no—
2374Q8—44no—
2375Q8—42no—
2376Q8—944no—
2377Q8—944no—
2378Q8—944no—
2379Q8—942no—
2380Q8—944no—
2381Q8—942no—
2382Q8—942no—
2383Q8—1884no—
2384Q8—1884no—
2385Q8—1882no—
2386Q8—1882no—
2387Q8—1884no—
2388Q8—1882no—
2389Q8—1882no—
2390Q8—1882no—
2391D4—24no—
2392D4—22no—
2393D4—24no—
2394D4—44no—
2395D4—44no—
2396D4—42no—
2397D4—42no—
2398D4—44no—
2399D4—944no—
2400D4—944no—
2401D4—944no—
2402D4—948no—
2403D4—942no—
2404D4—1882no—
2405D4—1884no—
2406D4—1884no—
2407D4—1882no—
2408D4—1882no—
2409D4—1882no—
2410D4—1884no—
2411C2×C4—22no—
2412C2×C4—22no—
2413C2×C4—24no—
2414C2×C4—41no—
2415C2×C4—44no—
2416C2×C4—44no—
2417C2×C4—44no—
2418C2×C4—44no—
2419C2×C4—471no—
2420C2×C4—471no—
2421C2×C4—474no—
2422C2×C4—471no—
2423C2×C4—474no—
2424C2×C4—472no—
2425C2×C4—471no—
2426C2×C4—472no—
2427C2×C4—471no—
2428C2×C4—472no—
2429C2×C4—474no—
2430C2×C4—472no—
2431C2×C4—472no—
2432C2×C4—472no—
2433C2×C4—471no—
2434C2×C4—472no—
2435C2×C4—942no—
2436C2×C4—942no—
2437C2×C4—942no—
2438C2×C4—944no—
2439C2×C4—942no—
2440C2×C4—942no—
2441C2×C4—942no—
2442C2×C4—948no—
2443C2×C4—948no—
2444C2×C4—944no—
2445C2×C4—942no—
2446C2×C4—942no—
2447C2×C4—942no—
2448C2×C4—944no—
2449C2×C4—1881no—
2450C2×C4—1881no—
2451C2×C4—1881no—
2452C2×C4—1881no—
2453C2×C4—1882no—
2454C2×C4—1882no—
2455C2×C4—1882no—
2456C2×C4—1884no—
2457C2×C4—1882no—
2458C2×C4—1882no—
2459C2×C4—1884no—
2460C2×C4—1881no—
2461C2×C4—1884no—
2462C2×C4—1882no—
2463C2×C4—1884no—
2464C2×C4—1884no—
2465C2×C4C24×D4711yescharacteristic
2466C2×C4C24×D4712yes—
2467C2×C4C24×D4712yes—
2468C2×C4C24×D4712yes—
2469C2×C4C24×D4712yes—
2470C2×C4C24×D4714yes—
2471C2×C4C24×D4712yes—
2472C2×C4C24×D4712yes—
2473C2×C4C24×D4711yescharacteristic
2474C2×C4C24×D4711yescharacteristic
2475C2×C4C24×D4711yescharacteristic
2476C2×C4C24×D4712yes—
2477C2×C4C24×D4711yescharacteristic
2478C2×C4C24×D4711yescharacteristic
2479C22—21no—
2480C22—24no—
2481C22—22no—
2482C22—24no—
2483C22—21no—
2484C22—22no—
2485C22—22no—
2486C22—21no—
2487C22—24no—
2488C22—472no—
2489C22—941no—
2490C22—941no—
2491C22—941no—
2492C22—942no—
2493C22—941no—
2494C22—942no—
2495C22—942no—
2496C22—941no—
2497C22—1884no—
2498C22C25×D4711yescharacteristic
2499C4—21no—
2500C4—22no—
2501C4—22no—
2502C4—22no—
2503C4—21no—
2504C4—21no—
2505C4—22no—
2506C4—21no—
2507C4—22no—
2508C4—22no—
2509C4—24no—
2510C4—22no—
2511C4—472no—
2512C4—472no—
2513C4—941no—
2514C4—944no—
2515C4—942no—
2516C4—941no—
2517C4—944no—
2518C4—942no—
2519C4—942no—
2520C4—942no—
2521C4—941no—
2522C4—942no—
2523C4—941no—
2524C4—942no—
2525C4—942no—
2526C42−1+4×D4712yes—
2527C4#1568995812yes—
2528C2—41no—
2529C2—44no—
2530C2—42no—
2531C2—942no—
2532C2—1881no—
2533C2—1882no—
2534C2C2×2−1+4×D4711yescharacteristic
2535C2#585×D4711yescharacteristic
2536C2C2×#1568995811yescharacteristic
subgroupG/H
center, FrattiniC22C25×D47
commutator, socle, cosocleC22×C47C26
FittingC47×#3554C2
hypercenter#3554D47
hypocenterC47#62761
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C22 ◁ #3554

Complements

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

NH ≅ G/Ntype
1. #20257889C2semidirect
2. #20257885C2semidirect
3. #20257880C2semidirect
4. #20257878C2semidirect
5. #20257876C2semidirect
6. #20257874C2semidirect
7. #20257853C2semidirect
8. #20257849C2semidirect
9. #20257837C2semidirect
10. #20257824C2semidirect
11. #20257820C2semidirect
12. #20257800C2semidirect
13. #20257795C2semidirect
14. #20257781C2semidirect
15. #20257679C2semidirect
16. #20257671C2semidirect
17. #20257670C2semidirect
18. #20257532C2semidirect
19. #20257004C2semidirect
20. #20257000C2semidirect
21. #20256987C2semidirect
22. #20256984C2semidirect
23. #20256984C2semidirect
24. #20256970C2semidirect
25. #20256967C2semidirect
26. Q8×#10625352C2semidirect
27. #20256818C2semidirect
28. #20256814C2semidirect
29. #20256812C2semidirect
30. #20256775C2semidirect
31. #20256772C2semidirect
32. #20256683C2semidirect
33. #20256682C2semidirect
34. #533×D47C2semidirect
35. C47×#3554C2semidirect
36. C47⋊#564C22semidirect
39. #15689876C22semidirect
40. #15689876C22semidirect
42. #15689874C22semidirect
43. #15689874C22semidirect
44. #15689874C22semidirect
46. #15689873C22semidirect
50. #15689868C22semidirect
51. #15689859C22semidirect
52. #15689859C22semidirect
53. #15689856C22semidirect
54. #15689856C22semidirect
55. #15689856C22semidirect
56. Q8×Dic94C22semidirect
57. Q8×Dic94C22semidirect
58. #15689853C22semidirect
59. #15689852C22semidirect
60. #15689851C22semidirect
61. #15689851C22semidirect
62. #15689851C22semidirect
63. #15689850C22semidirect
64. #15689850C22semidirect
65. #15689849C22semidirect
66. #15689849C22semidirect
67. #15689848C22semidirect
68. #15689848C22semidirect
69. #15689848C22semidirect
70. #15689846C22semidirect
71. #15689846C22semidirect
73. #15689844C22semidirect
75. #15689843C22semidirect
76. #15689843C22semidirect
78. #15689842C22semidirect
79. #15689842C22semidirect
80. #15689842C22semidirect
81. #15689842C22semidirect
83. #15689833C22semidirect
84. #15689832C22semidirect
85. #15689832C22semidirect
88. #15689830C22semidirect
89. #15689830C22semidirect
91. #15689829C22semidirect
103. #15689813C22semidirect
105. #15689810C22semidirect
106. #15689808C22semidirect
108. #15689807C22semidirect
109. #15689793C22semidirect
110. #15689793C22semidirect
111. D4×Dic94C22semidirect
112. D4×Dic94C22semidirect
114. #15689788C22semidirect
116. Q8×C22⋊D47C22semidirect
124. #15689773C22semidirect
126. #15689772C22semidirect
127. #15689752C22semidirect
128. #15689751C22semidirect
129. #15689750C22semidirect
137. #15689742C22semidirect
139. #15689741C22semidirect
148. #15689735C22semidirect
150. #15689734C22semidirect
152. #15689733C22semidirect
154. #15689732C22semidirect
157. #15689730C22semidirect
158. #15689730C22semidirect
159. #15689730C22semidirect
167. #15689717C22semidirect
170. #15689716C22semidirect
172. #15689715C22semidirect
184. #15689695C22semidirect
185. #15689693C22semidirect
191. #15689679C22semidirect
197. #15689678C22semidirect
207. #15689675C22semidirect
208. #15689675C22semidirect
209. #15689675C22semidirect
210. #15689675C22semidirect
211. #15689675C22semidirect
233. #15689654C22semidirect
234. #15689654C22semidirect
239. #15689652C22semidirect
240. #15689652C22semidirect
246. #15689650C22semidirect
247. #15689650C22semidirect
248. #15689650C22semidirect
261. #41×Dic47C22semidirect
272. C4×#10625352C22semidirect
273. C4×#10625352C22semidirect
274. C2×Q8×Dic47C22semidirect
275. C2×#13093989C22semidirect
279. C4×Q8×D47C22semidirect
283. C47×#559C22semidirect
284. C47×#559C22semidirect
285. C47×#557C22semidirect
286. C47×#554C22semidirect
287. C47×#550C22semidirect
288. D4×Q8×C47C22semidirect
292. C47×#542C22semidirect
294. C47×#539C22semidirect
295. C47×#536C22semidirect
1268. #3554D47semidirect
1325. #559C2×D47semidirect
1326. #559C2×D47semidirect
1341. #557C2×D47semidirect
1367. #554C2×D47semidirect
1384. #550C2×D47semidirect
1392. D4×Q8C2×D47semidirect
1424. #542C2×D47semidirect
1454. #539C2×D47semidirect
1467. #536C2×D47semidirect
1567. C47#62761semidirect

Maximal subgroups

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

subgroupindex
#202578892
#202578852
#202578802
#202578782
#202578762
#202578742
#202578532
#202578492
#202578372
#202578242
#202578202
#202578002
#202577952
#202577812
#202576792
#202576712
#202576702
#202575322
#202570042
#202570002
#202569872
#202569842
#202569702
#202569672
Q8×#106253522
#202568182
#202568142
#202568122
#202567752
#202567722
#202566832
#202566822
#533×D472
C47×#35542
#6276147