Finite Group Databasebeta

← #27124505

Subgroups — #27124505

Order 12032.

7094 conjugacy classes of subgroups.

The subgroup lattice has 2028 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257480C213yesmaximal, complemented
2#20257478C211yesmaximal, characteristic, complemented
3#20257469C213yesmaximal, complemented
4#20257467C211yesmaximal, characteristic, complemented
5#20257381C211yesmaximal, characteristic, complemented
6#20257377C213yesmaximal, complemented
7#20257371C213yesmaximal, complemented
8#20257249C213yesmaximal, complemented
9#20257247C213yesmaximal, complemented
10#20257195C211yesmaximal, characteristic, complemented
11#20257156C211yesmaximal, characteristic, complemented
12#20257096C213yesmaximal, complemented
13#20257092C213yesmaximal, complemented
14#20257038C211yesmaximal, characteristic, complemented
15#20257034C211yesmaximal, characteristic, complemented
16#20257008C211yesmaximal, characteristic, complemented
17#20257007C213yesmaximal, complemented
18#20257004C211yesmaximal, characteristic, complemented
19#20257002C213yesmaximal, complemented
20#20256982C213yesmaximal, complemented
21#20256978C211yesmaximal, characteristic, complemented
22#20256967C213yesmaximal, complemented
23Q8×#10625352C211yesmaximal, characteristic, complemented
24#20256820C213yesmaximal, complemented
25#20256814C213yesmaximal, complemented
26#20256682C213yesmaximal, complemented
27#20256682C213yesmaximal, complemented
28#20256599C211yesmaximal, characteristic, complemented
29#20256597C211yesmaximal, characteristic, complemented
30C2×C4×Q8×D47C211yesmaximal, characteristic, complemented
31C47×#3516C211yesmaximal, characteristic, complemented
32C2×#13094072C2211yescharacteristic
33C2×#13094071C2211yescharacteristic
34C22×Q8×D47C2211yescharacteristic
35#15689857C2216yescomplemented
36#15689856C2213yescomplemented
37#15689855C2213yescomplemented
38Q8×Dic94C2211yescharacteristic, complemented
39#15689853C2213yescomplemented
40#15689851C2213yescomplemented
41#15689851C2213yescomplemented
42#15689850C2213yescomplemented
43#15689850C2213yescomplemented
44#15689850C2216yescomplemented
45#15689849C2211yescharacteristic, complemented
46#15689849C2211yescharacteristic, complemented
47#15689848C2213yescomplemented
48#15689846C2213yescomplemented
49#15689845C2213yescomplemented
50#15689844C2213yescomplemented
51#15689842C2213yescomplemented
52#15689841C2216yescomplemented
53#15689841C2213yescomplemented
54#15689840C2216yescomplemented
55#15689840C2216yescomplemented
56#15689832C2216yes—
57#15689831C2213yes—
58#15689831C2213yescomplemented
59#15689830C2213yes—
60#15689828C2213yes—
61#15689828C2213yescomplemented
62#15689827C2216yes—
63#15689827C2216yescomplemented
64#15689825C2213yes—
65#15689822C2216yes—
66#15689821C2213yes—
67#15689819C2213yes—
68#15689816C2216yes—
69#15689814C2213yes—
70#15689814C2213yescomplemented
71#15689813C2213yescomplemented
72#15689812C2213yes—
73#15689811C2213yes—
74#15689811C2213yescomplemented
75#15689809C2216yes—
76#15689809C2216yescomplemented
77#15689807C2213yes—
78#15689806C2216yescomplemented
79#15689805C2216yes—
80#15689792C2211yescharacteristic, complemented
81#15689791C2213yescomplemented
82Q8×D188C2211yescharacteristic
83D4×Dic94C2213yes—
84#15689788C2213yes—
85Q8×C22⋊D47C2211yescharacteristic
86Q8×C22⋊D47C2211yescharacteristic
87Q8×C22⋊D47C2211yescharacteristic, complemented
88#15689786C2213yes—
89#15689786C2213yes—
90#15689786C2213yescomplemented
91#15689785C2211yescharacteristic
92#15689785C2211yescharacteristic, complemented
93#15689784C2211yescharacteristic
94#15689783C2213yes—
95#15689782C2213yes—
96#15689782C2213yescomplemented
97#15689781C2213yes—
98#15689781C2213yescomplemented
99#15689780C2211yescharacteristic
100#15689779C2213yes—
101#15689778C2213yes—
102#15689776C2213yes—
103#15689775C2216yes—
104#15689774C2213yes—
105#15689773C2213yes—
106#15689771C2216yes—
107#15689753C2213yes—
108#15689750C2213yes—
109#15689745C2213yescomplemented
110#15689744C2213yescomplemented
111#15689739C2216yescomplemented
112#15689738C2213yescomplemented
113#15689737C2216yescomplemented
114#15689735C2213yescomplemented
115#15689732C2216yescomplemented
116#15689731C2213yescomplemented
117#15689731C2213yescomplemented
118#15689730C2216yescomplemented
119#15689721C2216yes—
120#15689719C2216yes—
121#15689716C2216yes—
122#15689714C2216yes—
123#15689703C2213yes—
124#15689702C2213yes—
125#15689698C2213yes—
126#15689696C2213yes—
127#15689696C2213yes—
128#15689693C2213yes—
129#15689679C2213yes—
130#15689679C2213yes—
131#15689679C2216yescomplemented
132#15689678C2213yescomplemented
133#15689678C2213yescomplemented
134#15689677C2213yes—
135#15689677C2213yes—
136#15689675C2213yes—
137#15689675C2213yes—
138#15689675C2213yescomplemented
139#15689675C2216yescomplemented
140#15689675C2213yescomplemented
141#15689672C2213yes—
142#15689672C2213yes—
143#15689670C2213yes—
144#15689670C2213yes—
145#15689668C2213yes—
146#15689668C2213yes—
147#15689659C2213yescomplemented
148#15689658C2213yes—
149#15689658C2213yes—
150#15689658C2213yescomplemented
151#15689657C2213yes—
152#15689657C2213yes—
153#15689656C2216yes—
154#15689656C2216yes—
155#15689656C2213yes—
156#15689656C2213yes—
157#15689656C2213yes—
158#15689656C2213yes—
159#15689656C2216yescomplemented
160#15689654C2213yescomplemented
161#15689652C2213yes—
162#15689652C2213yes—
163#15689652C2213yescomplemented
164#15689651C2213yes—
165#15689651C2213yes—
166#15689651C2216yes—
167#15689650C2213yes—
168#15689650C2216yes—
169#15689650C2213yes—
170#15689650C2216yescomplemented
171#15689636C2213yes—
172#15689636C2213yes—
173#15689633C2213yes—
174#15689633C2213yes—
175#15689632C2213yes—
176#15689632C2213yes—
177#15689632C2216yes—
178#15689631C2211yescharacteristic
179#15689631C2213yes—
180#15689605C2213yes—
181#15689605C2211yescharacteristic, complemented
182#15689604C2213yes—
183#15689603C2213yes—
184#15689603C2213yescomplemented
185#15689602C2213yes—
186#15689602C2213yescomplemented
187#15689600C2213yescomplemented
188#15689599C2211yescharacteristic
189#15689599C2211yescharacteristic
190#15689599C2213yescomplemented
191#15689599C2211yescharacteristic, complemented
192#41×Dic47C2211yescharacteristic, complemented
193C4×#10625354C2213yes—
194C4×#10625354C2213yes—
195C4×#10625354C2211yescharacteristic, complemented
196#15689591C2213yes—
197#15689591C2213yes—
198#15689591C2216yes—
199#15689591C2213yescomplemented
200C4×#10625352C2213yes—
201C4×#10625352C2213yes—
202C4×#10625352C2213yes—
203C4×#10625352C2216yes—
204C4×#10625352C2213yes—
205C4×#10625352C2213yescomplemented
206C2×Q8×Dic47C2211yescharacteristic
207C2×Q8×Dic47C2211yescharacteristic, complemented
208C2×C4×Dic94C2213yes—
209C2×#13093989C2213yes—
210C2×#13093989C2213yescomplemented
211C4×Q8×D47C2213yes—
212C4×Q8×D47C2211yescharacteristic
213C4×Q8×D47C2211yescharacteristic
214C4×Q8×D47C2211yescharacteristic
215C4×Q8×D47C2213yes—
216C4×Q8×D47C2213yes—
217C4×Q8×D47C2213yes—
218C4×Q8×D47C2211yescharacteristic
219C4×Q8×D47C2213yescomplemented
220C4×Q8×D47C2211yescharacteristic, complemented
221C2×C4⋊C4×D47C2213yes—
222C2×C42×D47C2213yes—
223C47×#557C2211yescharacteristic, complemented
224C47×#556C2213yescomplemented
225C47×#554C2213yes—
226C47×#553C2213yes—
227C47×#552C2213yescomplemented
228D4×Q8×C47C2211yescharacteristic
229C47×#548C2211yescharacteristic
230C47×#548C2211yescharacteristic, complemented
231C47×#542C2213yescomplemented
232C47×#541C2213yescomplemented
233C47×#529C2213yes—
234C47×#529C2213yes—
235C47×#520C2211yescharacteristic, complemented
236C47×#519C2211yescharacteristic, complemented
237C2×C4×Q8×C47C2211yescharacteristic
238#13094072—28no—
239#13094071—28no—
240C2×#10625354C2311yescharacteristic
241C2×#10625354C2313yes—
242C2×#10625354C2313yes—
243C2×#10625350C2313yes—
244C2×#10625350C2313yes—
245C2×#10625350C2313yes—
246C2×#10625350C2316yes—
247C2×#10625352C2313yes—
248C2×#10625352C2311yescharacteristic
249C2×#10625352C2313yes—
250C2×#10625352C2313yes—
251C2×#10625352C2313yes—
252C22×Dic94C2313yes—
253C22×Dic94C2313yes—
254C2×Q8×D47—28no—
255C2×Q8×D47C2311yescharacteristic
256C2×Q8×D47C2313yes—
257C2×Q8×D47C2313yes—
258C2×Q8×D47C2311yescharacteristic
259C2×Q8×D47C2313yes—
260C2×Q8×D47C2311yescharacteristic
261C22×C4×D47C2311yescharacteristic
262C22×C4×D47C2313yes—
263C22×C4×D47C2313yes—
264#13094024C2313yes—
265#13094024C2313yes—
266#13094023C2316yes—
267#13094023C2316yes—
268#13094023C2313yes—
269#13094023C2316yes—
270#13094023C2313yes—
271#13094023C2313yes—
272#13094023C2313yes—
273#13094023C2313yes—
274#13094023C2313yes—
275#13094022C2313yes—
276#13094022C2313yes—
277#13094022C2316yes—
278#13094022C2313yes—
279#13094022C2313yes—
280#13094020C2313yes—
281#13094020C2313yes—
282#13094019C2313yes—
283#13094019C2316yes—
284#13094019C2313yes—
285#13094019C2316yes—
286#13094019C2316yes—
287#13094019C2316yes—
288#13094018C2316yes—
289#13094018C2316yes—
290#13094018C2313yes—
291#13094018C2313yes—
292#13094017C2313yes—
293#13094017C2316yes—
294#13094017C2316yes—
295#13094017C2313yes—
296#13094017C2316yes—
297#13094017C2316yes—
298#13094016C2313yes—
299#13094016C2316yes—
300#13094016C2313yes—
301#13094016C2313yes—
302#13094015C2316yes—
303#13094015C2313yes—
304#13094015C2313yes—
305#13094015C2316yes—
306#13094014C2316yes—
307#13094014C2316yes—
308#13094014C2316yes—
309#13094014C2316yes—
310#13094014C2316yes—
311#13094014C2316yes—
312#13094014C2316yes—
313#13094014C2313yes—
314#13094014C2313yes—
315#13094014C2313yes—
316#13094014C2316yes—
317#13094014C2313yes—
318#13094013C2313yes—
319#13094012C2313yes—
320#13094012C2313yes—
321#13094012C2313yes—
322#13094011C2313yes—
323#13094010C2316yes—
324#13094010C2316yes—
325#13094010C2316yes—
326#13094010C2313yes—
327#13094010C2313yes—
328#13094010C2313yes—
329#13094010C2316yes—
330#13094010C2313yes—
331#13094009C2316yes—
332#13094009C2316yes—
333#13094009C2316yes—
334#13094009C2313yes—
335#13094009C2313yes—
336#13094009C2313yes—
337#13094009C2313yes—
338#13094009C2316yes—
339#13094008C2316yes—
340#13094007C2316yes—
341#13094007C2311yescharacteristic
342#13094007C2313yes—
343#13094006C2316yes—
344#13094006C2316yes—
345#13094006C2313yes—
346#13094006C2316yes—
347#13094006C2313yes—
348#13094006C2313yes—
349#13094006C2313yes—
350#13094006C2316yes—
351#13094005C2316yes—
352#13094004C2313yes—
353#13094004C2313yes—
354#13094004C2313yes—
355#13094004C2316yes—
356#13094004C2313yes—
357#13094004C2313yes—
358#13094003C2313yes—
359#13094003C2313yes—
360#13094003C2316yes—
361#13094003C2313yes—
362#13094003C2313yes—
363#13094003C2313yes—
364#13094002C2316yes—
365#13094002C2316yes—
366#13094002C2316yes—
367#13094002C2316yes—
368#13094002C2316yes—
369#13094002C2316yes—
370#13094002C2313yes—
371#13094002C2313yes—
372#13094002C2311yescharacteristic
373#13094002C2313yes—
374#13094002C2313yes—
375#13094002C2311yescharacteristic
376#13094001C2316yes—
377#13094001C2316yes—
378#13094001C2316yes—
379#13094001C2316yes—
380#13094001C2316yes—
381#13094001C2313yes—
382#13094001C2313yes—
383#13094001C2316yes—
384#13094000C2313yes—
385#13094000C2313yes—
386#13094000C2316yes—
387#13094000C2313yes—
388#13094000C2313yes—
389#13094000C2313yes—
390#13093999C2313yes—
391#13093999C2313yes—
392#13093999C2313yes—
393#13093998C2313yes—
394#13093998C2313yes—
395#13093998C2313yes—
396#13093997C2316yes—
397#13093997C2313yes—
398#13093997C2313yes—
399#13093997C2311yescharacteristic
400#13093997C2313yes—
401#13093997C2313yes—
402#13093997C2311yescharacteristic
403#13093997C2316yes—
404#13093996C2316yes—
405#13093996C2313yes—
406#13093996C2313yes—
407#13093996C2316yes—
408#13093995C2313yes—
409#13093995C2313yes—
410#13093995C2313yes—
411#13093994C2311yescharacteristic
412#13093994C2313yes—
413#13093992C2311yescharacteristic
414#13093992C2313yes—
415Q8×Dic47C2311yescharacteristic
416Q8×Dic47C2311yescharacteristic
417Q8×Dic47C2311yescharacteristic
418Q8×Dic47C2313yes—
419Q8×Dic47C2313yes—
420Q8×Dic47C2311yescharacteristic
421Q8×Dic47C2313yes—
422Q8×Dic47C2313yes—
423Q8×Dic47C2313yes—
424C4×Dic94C2316yes—
425C4×Dic94C2313yes—
426C4×Dic94C2313yes—
427C4×Dic94C2313yes—
428C4×Dic94C2313yes—
429C4×Dic94C2313yes—
430C4×Dic94C2316yes—
431C4×Dic94C2316yes—
432C4×Dic94C2313yes—
433C4×Dic94C2313yes—
434C4×Dic94C2316yes—
435C4×Dic94C2313yes—
436C4×Dic94C2313yes—
437C4×Dic94C2313yes—
438C4×Dic94C2313yes—
439#13093989C2313yes—
440#13093989C2313yes—
441#13093989C2313yes—
442#13093989C2313yes—
443#13093989C2313yes—
444#13093989C2316yes—
445#13093989C2313yes—
446#13093989C2316yes—
447#13093989C2313yes—
448#13093989C2313yes—
449#13093989C2316yes—
450#13093989C2313yes—
451#13093989C2316yes—
452#13093989C2313yes—
453#13093989C2313yes—
454#13093989C2313yes—
455#13093989C2313yes—
456#13093989C2313yes—
457#13093989C2316yes—
458#13093989C2313yes—
459#13093989C2316yes—
460C4×D188C2313yes—
461C4×D188C2313yes—
462C4×D188C2313yes—
463C4×D188C2313yes—
464C4×D188C2313yes—
465C4×D188C2316yes—
466D4×Dic47C2313yes—
467D4×Dic47C2316yes—
468D4×Dic47C2313yes—
469D4×Dic47C2313yes—
470D4×Dic47C2313yes—
471D4×Dic47C2313yes—
472#13093986C2313yes—
473#13093986C2316yes—
474#13093986C2311yescharacteristic
475#13093986C2313yes—
476#13093986C2313yes—
477#13093986C2313yes—
478#13093986C2313yes—
479#13093986C2313yes—
480#13093986C2311yescharacteristic
481#13093986C2313yes—
482C4×C22⋊D47C2313yes—
483C4×C22⋊D47C2313yes—
484C4×C22⋊D47C2316yes—
485C4×C22⋊D47C2313yes—
486C4×C22⋊D47C2313yes—
487C4×C22⋊D47C2313yes—
488C4×C22⋊D47C2313yes—
489C4×C22⋊D47C2316yes—
490C4×C22⋊D47C2316yes—
491C4×C22⋊D47C2316yes—
492(C22⋊D47)⋊C4C2313yes—
493(C22⋊D47)⋊C4C2313yes—
494(C22⋊D47)⋊C4C2316yes—
495(C22⋊D47)⋊C4C2316yes—
496(C22⋊D47)⋊C4C2316yes—
497(C22⋊D47)⋊C4C2316yes—
498(C22⋊D47)⋊C4C2316yes—
499(C22⋊D47)⋊C4C2313yes—
500(C22⋊D47)⋊C4C2313yes—
501(C22⋊D47)⋊C4C2313yes—
502(C22⋊D47)⋊C4C2313yes—
503(C22⋊D47)⋊C4C2311yescharacteristic
504(C22⋊D47)⋊C4C2313yes—
505(C22⋊D47)⋊C4C2313yes—
506(C22⋊D47)⋊C4C2313yes—
507(C22⋊D47)⋊C4C2311yescharacteristic
508(C22⋊D47)⋊C4C2313yes—
509(C22⋊D47)⋊C4C2313yes—
510(C22⋊D47)⋊C4C2313yes—
511(C22⋊D47)⋊C4C2316yes—
512#13093983C2313yes—
513#13093982C2316yes—
514#13093982C2313yes—
515#13093982C2313yes—
516#13093982C2313yes—
517#13093982C2313yes—
518#13093982C2313yes—
519#13093982C2313yes—
520#13093982C2313yes—
521#13093982C2313yes—
522#13093982C2316yes—
523#13093982C2313yes—
524#13093982C2313yes—
525#13093981C2313yes—
526#13093981C2313yes—
527#13093981C2313yes—
528#13093981C2313yes—
529#13093981C2316yes—
530#13093981C2316yes—
531#13093981C2316yes—
532#13093980C2316yes—
533#13093980C2313yes—
534#13093980C2316yes—
535#13093980C2313yes—
536#13093980C2311yescharacteristic
537#13093980C2313yes—
538#13093980C2313yes—
539#13093980C2313yes—
540#13093980C2316yes—
541C2×C4⋊Dic47C2313yes—
542C2×C4⋊Dic47C2313yes—
543C2×Dic47⋊C4C2316yes—
544C2×Dic47⋊C4C2316yes—
545C4⋊C4×D47C2313yes—
546C4⋊C4×D47C2316yes—
547C4⋊C4×D47C2313yes—
548C4⋊C4×D47C2313yes—
549C4⋊C4×D47C2316yes—
550C4⋊C4×D47C2313yes—
551C4⋊C4×D47C2313yes—
552C4⋊C4×D47C2313yes—
553C4⋊C4×D47C2316yes—
554C2×C4×Dic47C2313yes—
555C2×C4×Dic47C2313yes—
556C2×C4×Dic47C2313yes—
557C2×C4×Dic47C2316yes—
558C2×C4×Dic47C2313yes—
559C2×C4×Dic47C2313yes—
560C42×D47C2313yes—
561C42×D47C2313yes—
562C42×D47C2313yes—
563C42×D47C2313yes—
564C42×D47C2313yes—
565C42×D47C2313yes—
566C42×D47C2313yes—
567C42×D47C2313yes—
568C42×D47C2313yes—
569C42×D47C2316yes—
570C42×D47C2313yes—
571C2×#41×C47C2311yescharacteristic
572C22×Q8×C47C2311yescharacteristic
573C22×Q8×C47C2311yescharacteristic
574C4⋊Q8×C47C2313yes—
575C4⋊Q8×C47C2313yes—
576#126×C47C2316yes—
577#126×C47C2313yes—
578#126×C47C2313yes—
579#126×C47C2316yes—
580#125×C47C2313yes—
581#125×C47C2313yes—
582#125×C47C2316yes—
583#125×C47C2313yes—
584#124×C47C2313yes—
585#124×C47C2313yes—
586#124×C47C2313yes—
587#123×C47C2316yes—
588#123×C47C2311yescharacteristic
589#123×C47C2313yes—
590C22⋊Q8×C47C2316yes—
591C22⋊Q8×C47C2313yes—
592C22⋊Q8×C47C2313yes—
593C22⋊Q8×C47C2313yes—
594C22⋊Q8×C47C2313yes—
595C22⋊Q8×C47C2313yes—
596#121×C47C2313yes—
597#121×C47C2313yes—
598#121×C47C2313yes—
599C4×Q8×C47C2313yes—
600C4×Q8×C47C2313yes—
601C4×Q8×C47C2311yescharacteristic
602C4×Q8×C47C2311yescharacteristic
603C4×Q8×C47C2311yescharacteristic
604C4×Q8×C47C2311yescharacteristic
605C4×Q8×C47C2313yes—
606C4×Q8×C47C2313yes—
607C4×Q8×C47C2313yes—
608C4×D4×C47C2313yes—
609C4×D4×C47C2313yes—
610C4×D4×C47C2313yes—
611C4×D4×C47C2313yes—
612C4×D4×C47C2313yes—
613C4×D4×C47C2316yes—
614#117×C47C2313yes—
615#117×C47C2313yes—
616#117×C47C2313yes—
617#117×C47C2316yes—
618C2×C4⋊C4×C47C2313yes—
619C2×C4⋊C4×C47C2313yes—
620C2×C42×C47C2313yes—
621C23×D47C2411yescharacteristic
622#41×C47—24no—
623C2×Q8×C47—24no—
624C2×Q8×C47—24no—
625C2×Q8×C47C2413yes—
626C2×Q8×C47C2413yes—
627C2×Q8×C47C2413yes—
628C2×Q8×C47C2411yescharacteristic
629C2×D4×C47C2411yescharacteristic
630C2×D4×C47C2413yes—
631C2×D4×C47C2413yes—
632C2×D4×C47C2413yes—
633C22×C4×C47C2411yescharacteristic
634C22×C4×C47C2413yes—
635C22×C4×C47C2413yes—
636C22×C4×C47C2413yes—
637C22×C4×C47C2413yes—
638C22×C4×C47C2416yes—
639C2×C22⋊D47C2411yescharacteristic
640C2×C22⋊D47C2413yes—
641C2×C22⋊D47C2413yes—
642C2×C22⋊D47C2411yescharacteristic
643C2×C22⋊D47C2413yes—
644C2×C22⋊D47C2411yescharacteristic
645C2×C22⋊D47C2413yes—
646C2×C22⋊D47C2413yes—
647C2×C22⋊D47C2413yes—
648C2×C22⋊D47C2411yescharacteristic
649C2×C22⋊D47C2416yes—
650C22×Dic47C2413yes—
651C22×Dic47C2411yescharacteristic
652C22×Dic47C2413yes—
653C22×Dic47C2416yes—
654C22×Dic47C2413yes—
655C22×Dic47C2413yes—
656C22×Dic47C2413yes—
657C22×Dic47C2411yescharacteristic
658#10625354—24no—
659#10625354—212no—
660#10625354—46no—
661Q8×D47—24no—
662Q8×D47—24no—
663Q8×D47—212no—
664Q8×D47—212no—
665Q8×D47—212no—
666Q8×D47#4118yescomplemented
667#10625352—24no—
668#10625352—212no—
669#10625352—212no—
670#10625352—212no—
671#10625352—46no—
672#10625350—212no—
673#10625350—212no—
674#10625350—212no—
675#10625350—412no—
676C2×D188C2411yescharacteristic
677C2×D188C2413yes—
678C2×D188C2413yes—
679C2×D188C2413yes—
680C2×D188C2411yescharacteristic
681C2×D188C2413yes—
682C2×C4×D47—24no—
683C2×C4×D47—212no—
684C2×C4×D47—46no—
685C2×C4×D47C2411yescharacteristic
686C2×C4×D47C2411yescharacteristic
687C2×C4×D47C2411yescharacteristic
688C2×C4×D47C2411yescharacteristic
689C2×C4×D47C2411yescharacteristic
690C2×C4×D47C2413yes—
691C2×C4×D47C2413yes—
692C2×C4×D47C2413yes—
693C2×C4×D47C2413yes—
694C2×C4×D47C2413yes—
695C2×C4×D47C2413yes—
696C2×C4×D47C2416yes—
697C2×C4×D47C2413yes—
698C2×C4×D47C2413yes—
699C2×C4×D47C2413yes—
700C2×C4×D47C2413yes—
701C2×C4×D47C2416yes—
702C2×C4×D47C2413yes—
703C2×C4×D47C2413yes—
704C2×C4×D47C2413yes—
705C2×Dic94—212no—
706C2×Dic94—212no—
707C2×Dic94C2413yes—
708C2×Dic94C2411yescharacteristic
709C2×Dic94C2413yes—
710C2×Dic94C2413yes—
711C2×Dic94C2416yes—
712C2×Dic94C2413yes—
713C2×Dic94C2413yes—
714C2×Dic94C2416yes—
715C2×Dic94C2413yes—
716C2×Dic94C2413yes—
717C4⋊C4×C47C2413yes—
718C4⋊C4×C47C2413yes—
719C4⋊C4×C47C2413yes—
720C4⋊C4×C47C2413yes—
721C4⋊C4×C47C2416yes—
722C4⋊C4×C47C2411yescharacteristic
723C4⋊C4×C47C2413yes—
724C4⋊C4×C47C2413yes—
725C4⋊C4×C47C2413yes—
726C4⋊C4×C47C2413yes—
727C4⋊C4×C47C2416yes—
728C4⋊C4×C47C2413yes—
729C4⋊C4×C47C2413yes—
730C4⋊C4×C47C2416yes—
731C4⋊C4×C47C2413yes—
732C4⋊C4×C47C2411yescharacteristic
733C4⋊C4×C47C2413yes—
734C22⋊C4×C47C2413yes—
735C22⋊C4×C47C2411yescharacteristic
736C22⋊C4×C47C2413yes—
737C22⋊C4×C47C2413yes—
738C22⋊C4×C47C2413yes—
739C22⋊C4×C47C2416yes—
740C22⋊C4×C47C2411yescharacteristic
741C22⋊C4×C47C2413yes—
742C22⋊C4×C47C2411yescharacteristic
743C22⋊C4×C47C2416yes—
744C22⋊C4×C47C2413yes—
745C22⋊C4×C47C2413yes—
746C42×C47C2413yes—
747C42×C47C2413yes—
748C42×C47C2413yes—
749C42×C47C2413yes—
750C42×C47C2416yes—
751C42×C47C2413yes—
752C42×C47C2413yes—
753C22⋊Dic47C2416yes—
754C22⋊Dic47C2411yescharacteristic
755C22⋊Dic47C2413yes—
756C22⋊Dic47C2413yes—
757C22⋊Dic47C2413yes—
758C22⋊Dic47C2416yes—
759C22⋊Dic47C2413yes—
760C22⋊Dic47C2413yes—
761(C2×D47)⋊C4C2411yescharacteristic
762(C2×D47)⋊C4C2411yescharacteristic
763(C2×D47)⋊C4C2411yescharacteristic
764(C2×D47)⋊C4C2413yes—
765(C2×D47)⋊C4C2413yes—
766(C2×D47)⋊C4C2413yes—
767(C2×D47)⋊C4C2413yes—
768(C2×D47)⋊C4C2413yes—
769(C2×D47)⋊C4C2413yes—
770(C2×D47)⋊C4C2413yes—
771(C2×D47)⋊C4C2416yes—
772(C2×D47)⋊C4C2413yes—
773(C2×D47)⋊C4C2416yes—
774(C2×D47)⋊C4C2411yescharacteristic
775(C2×D47)⋊C4C2411yescharacteristic
776(C2×D47)⋊C4C2411yescharacteristic
777(C2×D47)⋊C4C2416yes—
778(C2×D47)⋊C4C2413yes—
779(C2×D47)⋊C4C2413yes—
780(C2×D47)⋊C4C2413yes—
781(C2×D47)⋊C4C2413yes—
782(C2×D47)⋊C4C2416yes—
783(C2×D47)⋊C4C2413yes—
784(C2×D47)⋊C4C2413yes—
785C4⋊Dic47C2413yes—
786C4⋊Dic47C2413yes—
787C4⋊Dic47C2416yes—
788C4⋊Dic47C2413yes—
789C4⋊Dic47C2416yes—
790C4⋊Dic47C2413yes—
791C4⋊Dic47C2413yes—
792C4⋊Dic47C2416yes—
793C4⋊Dic47C2413yes—
794C4⋊Dic47C2413yes—
795C4⋊Dic47C2413yes—
796C4⋊Dic47C2413yes—
797C4⋊Dic47C2413yes—
798Dic47⋊C4C2416yes—
799Dic47⋊C4C2416yes—
800Dic47⋊C4C2416yes—
801Dic47⋊C4C2416yes—
802Dic47⋊C4C2413yes—
803Dic47⋊C4C2413yes—
804Dic47⋊C4C2416yes—
805Dic47⋊C4C2413yes—
806Dic47⋊C4C2413yes—
807Dic47⋊C4C2411yescharacteristic
808Dic47⋊C4C2413yes—
809Dic47⋊C4C2413yes—
810Dic47⋊C4C2413yes—
811Dic47⋊C4C2411yescharacteristic
812Dic47⋊C4C2413yes—
813Dic47⋊C4C2413yes—
814Dic47⋊C4C2416yes—
815Dic47⋊C4C2413yes—
816Dic47⋊C4C2413yes—
817Dic47⋊C4C2411yescharacteristic
818Dic47⋊C4C2413yes—
819Dic47⋊C4C2413yes—
820Dic47⋊C4C2413yes—
821Dic47⋊C4C2413yes—
822Dic47⋊C4C2416yes—
823Dic47⋊C4C2413yes—
824Dic47⋊C4C2411yescharacteristic
825Dic47⋊C4C2416yes—
826Dic47⋊C4C2416yes—
827Dic47⋊C4C2416yes—
828C4×Dic47C2413yes—
829C4×Dic47C2413yes—
830C4×Dic47C2411yescharacteristic
831C4×Dic47C2413yes—
832C4×Dic47C2413yes—
833C4×Dic47C2413yes—
834C4×Dic47C2413yes—
835C4×Dic47C2413yes—
836C4×Dic47C2413yes—
837C4×Dic47C2413yes—
838C4×Dic47C2413yes—
839C4×Dic47C2413yes—
840C4×Dic47C2413yes—
841C4×Dic47C2413yes—
842C4×Dic47C2413yes—
843C4×Dic47C2413yes—
844C4×Dic47C2413yes—
845C4×Dic47C2416yes—
846C4×Dic47C2411yescharacteristic
847C4×Dic47C2413yes—
848C4×Dic47C2416yes—
849C4×Dic47C2413yes—
850C4×Dic47C2416yes—
851C4×Dic47C2413yes—
852C4×Dic47C2413yes—
853C23×C47C2513yes—
854C23×C47C2511yescharacteristic
855C23×C47C2511yescharacteristic
856C22×D47—22no—
857C22×D47—22no—
858C22×D47—22no—
859C22×D47C2513yes—
860C22×D47C2511yescharacteristic
861C22×D47C2511yescharacteristic
862C22×D47C2511yescharacteristic
863Q8×C47—26no—
864Q8×C47—26no—
865Q8×C47—43no—
866Q8×C47C2×#4114yes—
867D4×C47—22no—
868D4×C47—26no—
869D4×C47—26no—
870D4×C47—43no—
871C2×C4×C47—22no—
872C2×C4×C47—26no—
873C2×C4×C47—26no—
874C2×C4×C47—26no—
875C2×C4×C47—43no—
876C2×C4×C47—46no—
877C2×C4×C47C2511yescharacteristic
878C2×C4×C47C2511yescharacteristic
879C2×C4×C47C2513yes—
880C2×C4×C47C2511yescharacteristic
881C2×C4×C47C2513yes—
882C2×C4×C47C2511yescharacteristic
883C2×C4×C47C2513yes—
884C2×C4×C47C2513yes—
885C2×C4×C47C2513yes—
886C2×C4×C47C2513yes—
887C2×C4×C47C2511yescharacteristic
888C2×C4×C47C2513yes—
889C22⋊D47—26no—
890C22⋊D47—22no—
891C22⋊D47—22no—
892C22⋊D47—26no—
893C22⋊D47—26no—
894C22⋊D47—22no—
895C22⋊D47—26no—
896C22⋊D47—26no—
897C22⋊D47—26no—
898C22⋊D47—22no—
899C22⋊D47—46no—
900C2×Dic47—26no—
901C2×Dic47—212no—
902C2×Dic47—26no—
903C2×Dic47—22no—
904C2×Dic47—43no—
905C2×Dic47—43no—
906C2×Dic47—43no—
907C2×Dic472−1+414yescomplemented
908C2×Dic47C2513yes—
909C2×Dic47C2511yescharacteristic
910C2×Dic47C2513yes—
911C2×Dic47C2511yescharacteristic
912C2×Dic47C2513yes—
913C2×Dic47C2513yes—
914C2×Dic47C2513yes—
915C2×Dic47C2511yescharacteristic
916C2×Dic47C2513yes—
917C2×Dic47C2513yes—
918C2×Dic47C2511yescharacteristic
919C2×Dic47C2511yescharacteristic
920D188—22no—
921D188—26no—
922D188—26no—
923D188—22no—
924D188—26no—
925D188—43no—
926C4×D47—26no—
927C4×D47—26no—
928C4×D47—26no—
929C4×D47—26no—
930C4×D47—26no—
931C4×D47—26no—
932C4×D47—26no—
933C4×D47—212no—
934C4×D47—22no—
935C4×D47—22no—
936C4×D47—22no—
937C4×D47—22no—
938C4×D47—22no—
939C4×D47—26no—
940C4×D47—43no—
941C4×D47—43no—
942C4×D47—46no—
943C4×D47—43no—
944C4×D47—43no—
945C4×D47C2×#41112yes—
946Dic94—26no—
947Dic94—26no—
948Dic94—26no—
949Dic94—212no—
950Dic94—26no—
951Dic94—22no—
952Dic94—26no—
953Dic94—46no—
954Dic94—43no—
955Dic94C2×#41112yes—
956#62788—471nomaximal, Sylow
957C22×C47—21no—
958C22×C47—21no—
959C22×C47—23no—
960C22×C47—21no—
961C22×C47—23no—
962C22×C47—21no—
963C22×C47—21no—
964C22×C47—23no—
965C22×C47C2×2−1+412yes—
966C22×C47C2611yescharacteristic
967C2×D47—28no—
968C2×D47—21no—
969C2×D47—21no—
970C2×D47—21no—
971C2×D47—21no—
972C2×D47—23no—
973C2×D47—21no—
974C2×D47—23no—
975C2×D47—21no—
976C2×D47—21no—
977C2×D47—23no—
978C2×D47C22×#4112yes—
979C2×D47#58512yes—
980C4×C47—21no—
981C4×C47—23no—
982C4×C47—23no—
983C4×C47—21no—
984C4×C47—23no—
985C4×C47—21no—
986C4×C47—21no—
987C4×C47—23no—
988C4×C47—23no—
989C4×C47—23no—
990C4×C47—21no—
991C4×C47C22×#4116yes—
992Dic47—23no—
993Dic47—21no—
994Dic47—23no—
995Dic47—21no—
996Dic47—23no—
997Dic47—23no—
998Dic47—21no—
999Dic47—23no—
1000Dic47—23no—
1001Dic47C22×#4116yes—
1002Dic47C2×2−1+412yes—
1003Dic47C2×2−1+412yes—
1004#3523—473no—
1005#3523—471no—
1006#3522—473no—
1007#3522—471no—
1008#3516—473no—
1009#3516—473no—
1010#3516—471no—
1011#3516D4711yescharacteristic, complemented
1012#3507—473no—
1013#3507—473no—
1014#3502—471no—
1015#3497—471no—
1016#3492—473no—
1017#3492—473no—
1018#3486—471no—
1019#3486—471no—
1020#3482—471no—
1021#3482—473no—
1022#3482—473no—
1023#3482—471no—
1024#3480—473no—
1025#3480—471no—
1026Q8×#41—473no—
1027Q8×#41—471no—
1028#3461—473no—
1029#3461—473no—
1030#3444—473no—
1031#3444—473no—
1032C4×2−1+4—471no—
1033C4×2−1+4—471no—
1034C22×C4×Q8—471no—
1035C2×C47—22no—
1036C2×C47—43no—
1037C2×C47—41no—
1038C2×C47C23×#4111yescharacteristic
1039C2×C47C22×2−1+411yescharacteristic
1040C2×C47C2×#58511yescharacteristic
1041D47—22no—
1042D47—22no—
1043D47—43no—
1044D47—41no—
1045C2×2−1+4—471no—
1046C2×2−1+4—471no—
1047C23×Q8—471no—
1048#559—473no—
1049#559—476no—
1050#559—473no—
1051Q82—473no—
1052Q82—471no—
1053#557—473no—
1054#557—476no—
1055#557—473no—
1056#557—473no—
1057#557—471no—
1058#557—471no—
1059#557—473no—
1060#557—473no—
1061#557C2×D4711yescharacteristic, complemented
1062#556—476no—
1063#556—476no—
1064#556—473no—
1065#556—473no—
1066#556—473no—
1067#556—473no—
1068#556—473no—
1069#556—476no—
1070#556C2×D4713yescomplemented
1071#554—476no—
1072#554—476no—
1073#554—473no—
1074#554—473no—
1075#554—473no—
1076#554—476no—
1077#554—473no—
1078#554—473no—
1079#554C2×D4713yes—
1080#553—476no—
1081#553—473no—
1082#553—473no—
1083#553—476no—
1084#553—473no—
1085#553C2×D4713yes—
1086#552—476no—
1087#552—476no—
1088#552—476no—
1089#552—473no—
1090#552—473no—
1091#552—473no—
1092#552—473no—
1093#552—473no—
1094#552—473no—
1095#552—476no—
1096#552—473no—
1097#552C2×D4713yescomplemented
1098#550—471no—
1099#550—473no—
1100D4×Q8—471no—
1101D4×Q8—471no—
1102D4×Q8—471no—
1103D4×Q8—473no—
1104D4×Q8—473no—
1105D4×Q8—473no—
1106D4×Q8—473no—
1107D4×Q8—471no—
1108D4×Q8—473no—
1109D4×Q8C2×D4711yescharacteristic
1110#548—471no—
1111#548—471no—
1112#548—473no—
1113#548—473no—
1114#548—473no—
1115#548—473no—
1116#548—471no—
1117#548—471no—
1118#548—473no—
1119#548—473no—
1120#548C2×D4711yescharacteristic
1121#548C2×D4711yescharacteristic, complemented
1122#547—473no—
1123#547—476no—
1124#547—476no—
1125#547—473no—
1126#547—473no—
1127#547—473no—
1128#544—473no—
1129#544—473no—
1130#542—476no—
1131#542—476no—
1132#542—473no—
1133#542—473no—
1134#542—473no—
1135#542C2×D4713yescomplemented
1136#541—476no—
1137#541—476no—
1138#541—473no—
1139#541—473no—
1140#541—473no—
1141#541C2×D4713yescomplemented
1142#539—476no—
1143#539—476no—
1144#539—476no—
1145#539—476no—
1146#537—473no—
1147#537—473no—
1148#536—473no—
1149#536—473no—
1150#536—473no—
1151#536—473no—
1152#533—473no—
1153#533—473no—
1154#533—473no—
1155#533—473no—
1156#533—476no—
1157#533—473no—
1158#533—473no—
1159#533—473no—
1160#533—473no—
1161#533—476no—
1162#533—473no—
1163#533—473no—
1164#532—473no—
1165#532—473no—
1166#532—473no—
1167#532—473no—
1168#532—473no—
1169#532—473no—
1170#529—476no—
1171#529—473no—
1172#529—473no—
1173#529—473no—
1174#529—473no—
1175#529—476no—
1176#529—476no—
1177#529—473no—
1178#529—473no—
1179#529—473no—
1180#529—473no—
1181#529—473no—
1182#529—473no—
1183#529—476no—
1184#529—473no—
1185#529—473no—
1186#529—476no—
1187#529—473no—
1188#529—473no—
1189#529—476no—
1190#529—473no—
1191#529—473no—
1192#529—473no—
1193#529—473no—
1194#529C2×D4713yes—
1195#529C2×D4713yes—
1196#525—471no—
1197#525—473no—
1198#525—473no—
1199#525—473no—
1200#525—473no—
1201#525—473no—
1202#525—473no—
1203#525—473no—
1204#525—476no—
1205#520—473no—
1206#520—471no—
1207#520—473no—
1208#520—473no—
1209#520—473no—
1210#520—473no—
1211#520—473no—
1212#520C2×D4711yescharacteristic, complemented
1213#519—471no—
1214#519—471no—
1215#519—473no—
1216#519—471no—
1217#519—473no—
1218#519C2×D4711yescharacteristic, complemented
1219C4×#41—471no—
1220C4×#41—473no—
1221C4×#41—471no—
1222C4×#41—473no—
1223C4×#41—473no—
1224C4×#41—473no—
1225C4×#41—476no—
1226C4×#41—473no—
1227C4×#41—473no—
1228C4×#41—473no—
1229C4×#41—473no—
1230C4×#41—473no—
1231C4×#41—473no—
1232C4×#41—476no—
1233C2×C4×Q8—471no—
1234C2×C4×Q8—471no—
1235C2×C4×Q8—471no—
1236C2×C4×Q8—473no—
1237C2×C4×Q8—471no—
1238C2×C4×Q8—473no—
1239C2×C4×Q8—471no—
1240C2×C4×Q8—473no—
1241C2×C4×Q8—471no—
1242C2×C4×Q8—473no—
1243C2×C4×Q8—471no—
1244C2×C4×Q8—473no—
1245C2×C4×Q8—473no—
1246C2×C4×Q8—473no—
1247C2×C4×Q8—473no—
1248C2×C4×Q8C2×D4711yescharacteristic
1249C22×C4⋊C4—473no—
1250C22×C42—473no—
1251C47#6278811yescharacteristic, complemented, Sylow
12522−1+4—948no—
12532−1+4—948no—
1254C2×#41—473no—
1255C2×#41—471no—
1256C2×#41—473no—
1257C2×#41—473no—
1258C2×#41—471no—
1259C2×#41—473no—
1260C2×#41—473no—
1261C2×#41—473no—
1262C2×#41—473no—
1263C2×#41—473no—
1264C2×#41—473no—
1265C2×#41—476no—
1266C2×#41C22×D4711yescharacteristic
1267C22×Q8—471no—
1268C22×Q8—473no—
1269C22×Q8—473no—
1270C22×Q8—471no—
1271C22×Q8—473no—
1272C22×Q8—471no—
1273C22×Q8—473no—
1274C22×Q8—473no—
1275C22×Q8—948no—
1276C22×Q8C22×D4711yescharacteristic
1277C22×Q8C22×D4711yescharacteristic
1278C23×C4—473no—
1279C23×C4—471no—
1280C23×C4—473no—
1281C4⋊Q8—473no—
1282C4⋊Q8—473no—
1283C4⋊Q8—473no—
1284C4⋊Q8—473no—
1285C4⋊Q8—476no—
1286C4⋊Q8—473no—
1287C4⋊Q8—473no—
1288C4⋊Q8—473no—
1289C4⋊Q8—473no—
1290C4⋊Q8—476no—
1291C4⋊Q8—476no—
1292C4⋊Q8—476no—
1293C4⋊Q8—473no—
1294C4⋊Q8—473no—
1295C4⋊Q8—473no—
1296C4⋊Q8—473no—
1297C4⋊Q8C22×D4713yes—
1298C4⋊Q8C22×D4713yes—
1299#127—473no—
1300#127—473no—
1301#126—473no—
1302#126—473no—
1303#126—476no—
1304#126—476no—
1305#126—476no—
1306#126—476no—
1307#126—473no—
1308#126—473no—
1309#126—476no—
1310#126—476no—
1311#126—476no—
1312#126—476no—
1313#126—476no—
1314#126—473no—
1315#126—473no—
1316#126—476no—
1317#126C22×D4716yes—
1318#126C22×D4713yes—
1319#126C22×D4713yes—
1320#126C22×D4716yes—
1321#125—476no—
1322#125—473no—
1323#125—473no—
1324#125—476no—
1325#125—473no—
1326#125—473no—
1327#125—476no—
1328#125—476no—
1329#125—473no—
1330#125—473no—
1331#125—476no—
1332#125—476no—
1333#125—476no—
1334#125—476no—
1335#125—476no—
1336#125—476no—
1337#125—473no—
1338#125—473no—
1339#125—473no—
1340#125—476no—
1341#125C22×D4713yes—
1342#125C22×D4713yes—
1343#125C22×D4713yes—
1344#125C22×D4716yes—
1345#124—473no—
1346#124—473no—
1347#124—476no—
1348#124—473no—
1349#124—473no—
1350#124—476no—
1351#124—473no—
1352#124—473no—
1353#124—476no—
1354#124—476no—
1355#124—473no—
1356#124—473no—
1357#124—473no—
1358#124C22×D4713yes—
1359#124C22×D4713yes—
1360#124C22×D4713yes—
1361#123—476no—
1362#123—473no—
1363#123—471no—
1364#123—476no—
1365#123—473no—
1366#123—473no—
1367#123—476no—
1368#123—476no—
1369#123—473no—
1370#123—473no—
1371#123—476no—
1372#123—476no—
1373#123—476no—
1374#123—473no—
1375#123—473no—
1376#123—476no—
1377#123—473no—
1378#123—473no—
1379#123—476no—
1380#123—476no—
1381#123—476no—
1382#123C22×D4711yescharacteristic
1383#123C22×D4713yes—
1384#123C22×D4716yes—
1385C22⋊Q8—473no—
1386C22⋊Q8—473no—
1387C22⋊Q8—473no—
1388C22⋊Q8—473no—
1389C22⋊Q8—473no—
1390C22⋊Q8—476no—
1391C22⋊Q8—473no—
1392C22⋊Q8—473no—
1393C22⋊Q8—473no—
1394C22⋊Q8—473no—
1395C22⋊Q8—473no—
1396C22⋊Q8—476no—
1397C22⋊Q8—471no—
1398C22⋊Q8—473no—
1399C22⋊Q8—473no—
1400C22⋊Q8—471no—
1401C22⋊Q8—476no—
1402C22⋊Q8—473no—
1403C22⋊Q8—473no—
1404C22⋊Q8—473no—
1405C22⋊Q8—473no—
1406C22⋊Q8—476no—
1407C22⋊Q8—473no—
1408C22⋊Q8—476no—
1409C22⋊Q8—473no—
1410C22⋊Q8—476no—
1411C22⋊Q8—473no—
1412C22⋊Q8—476no—
1413C22⋊Q8—476no—
1414C22⋊Q8—476no—
1415C22⋊Q8—473no—
1416C22⋊Q8—473no—
1417C22⋊Q8—476no—
1418C22⋊Q8—476no—
1419C22⋊Q8—476no—
1420C22⋊Q8—476no—
1421C22⋊Q8—476no—
1422C22⋊Q8—476no—
1423C22⋊Q8C22×D4713yes—
1424C22⋊Q8C22×D4713yes—
1425C22⋊Q8C22×D4713yes—
1426C22⋊Q8C22×D4713yes—
1427C22⋊Q8C22×D4713yes—
1428C22⋊Q8C22×D4716yes—
1429#121—473no—
1430#121—473no—
1431#121—473no—
1432#121—473no—
1433#121—476no—
1434#121—473no—
1435#121—476no—
1436#121—473no—
1437#121—473no—
1438#121—473no—
1439#121—473no—
1440#121—473no—
1441#121—473no—
1442#121—471no—
1443#121—473no—
1444#121—473no—
1445#121—471no—
1446#121—476no—
1447#121—473no—
1448#121—473no—
1449#121—476no—
1450#121C22×D4713yes—
1451#121C22×D4713yes—
1452#121C22×D4713yes—
1453#120—473no—
1454#120—471no—
1455#120—473no—
1456#120—471no—
1457C4×Q8—471no—
1458C4×Q8—473no—
1459C4×Q8—471no—
1460C4×Q8—473no—
1461C4×Q8—473no—
1462C4×Q8—471no—
1463C4×Q8—473no—
1464C4×Q8—471no—
1465C4×Q8—473no—
1466C4×Q8—473no—
1467C4×Q8—476no—
1468C4×Q8—473no—
1469C4×Q8—473no—
1470C4×Q8—476no—
1471C4×Q8—473no—
1472C4×Q8—473no—
1473C4×Q8—473no—
1474C4×Q8—473no—
1475C4×Q8—473no—
1476C4×Q8—476no—
1477C4×Q8—473no—
1478C4×Q8—473no—
1479C4×Q8—473no—
1480C4×Q8—473no—
1481C4×Q8—476no—
1482C4×Q8—473no—
1483C4×Q8—473no—
1484C4×Q8—473no—
1485C4×Q8—476no—
1486C4×Q8—476no—
1487C4×Q8—473no—
1488C4×Q8—476no—
1489C4×Q8—473no—
1490C4×Q8—473no—
1491C4×Q8—473no—
1492C4×Q8—476no—
1493C4×Q8—473no—
1494C4×Q8—473no—
1495C4×Q8—476no—
1496C4×Q8—473no—
1497C4×Q8—473no—
1498C4×Q8—476no—
1499C4×Q8—473no—
1500C4×Q8—473no—
1501C4×Q8—473no—
1502C4×Q8C22×D4711yescharacteristic
1503C4×Q8C22×D4713yes—
1504C4×Q8C22×D4711yescharacteristic
1505C4×Q8C22×D4713yes—
1506C4×Q8C22×D4711yescharacteristic
1507C4×Q8C22×D4713yes—
1508C4×Q8C22×D4713yes—
1509C4×Q8C22×D4711yescharacteristic
1510C4×Q8C22×D4713yes—
1511C4×D4—473no—
1512C4×D4—473no—
1513C4×D4—476no—
1514C4×D4—473no—
1515C4×D4—473no—
1516C4×D4—473no—
1517C4×D4—476no—
1518C4×D4—476no—
1519C4×D4—473no—
1520C4×D4—473no—
1521C4×D4—473no—
1522C4×D4—473no—
1523C4×D4—476no—
1524C4×D4—473no—
1525C4×D4—473no—
1526C4×D4—476no—
1527C4×D4—471no—
1528C4×D4—473no—
1529C4×D4—473no—
1530C4×D4—471no—
1531C4×D4—473no—
1532C4×D4—473no—
1533C4×D4—473no—
1534C4×D4—473no—
1535C4×D4—476no—
1536C4×D4—473no—
1537C4×D4—471no—
1538C4×D4—473no—
1539C4×D4—473no—
1540C4×D4—471no—
1541C4×D4—473no—
1542C4×D4—473no—
1543C4×D4—473no—
1544C4×D4—473no—
1545C4×D4—473no—
1546C4×D4—473no—
1547C4×D4—476no—
1548C4×D4—476no—
1549C4×D4—476no—
1550C4×D4—473no—
1551C4×D4—473no—
1552C4×D4—476no—
1553C4×D4—476no—
1554C4×D4—476no—
1555C4×D4—473no—
1556C4×D4—473no—
1557C4×D4—476no—
1558C4×D4—473no—
1559C4×D4—473no—
1560C4×D4—473no—
1561C4×D4—473no—
1562C4×D4—473no—
1563C4×D4C22×D4713yes—
1564C4×D4C22×D4713yes—
1565C4×D4C22×D4713yes—
1566C4×D4C22×D4713yes—
1567C4×D4C22×D4716yes—
1568C4×D4C22×D4713yes—
1569#117—473no—
1570#117—473no—
1571#117—473no—
1572#117—476no—
1573#117—473no—
1574#117—473no—
1575#117—473no—
1576#117—473no—
1577#117—476no—
1578#117—473no—
1579#117—473no—
1580#117—473no—
1581#117—473no—
1582#117—471no—
1583#117—473no—
1584#117—476no—
1585#117—476no—
1586#117—473no—
1587#117—473no—
1588#117—476no—
1589#117—473no—
1590#117—473no—
1591#117—473no—
1592#117—473no—
1593#117—473no—
1594#117—473no—
1595#117—476no—
1596#117—476no—
1597#117—476no—
1598#117C22×D4713yes—
1599#117C22×D4713yes—
1600#117C22×D4713yes—
1601#117C22×D4716yes—
1602C2×C4⋊C4—476no—
1603C2×C4⋊C4—473no—
1604C2×C4⋊C4—476no—
1605C2×C4⋊C4—473no—
1606C2×C4⋊C4—473no—
1607C2×C4⋊C4—473no—
1608C2×C4⋊C4—476no—
1609C2×C4⋊C4—476no—
1610C2×C4⋊C4—473no—
1611C2×C4⋊C4—473no—
1612C2×C4⋊C4—476no—
1613C2×C4⋊C4—473no—
1614C2×C4⋊C4—473no—
1615C2×C4⋊C4C22×D4713yes—
1616C2×C4⋊C4C22×D4713yes—
1617C2×C42—473no—
1618C2×C42—473no—
1619C2×C42—473no—
1620C2×C42—476no—
1621C2×C42—473no—
1622C2×C42—473no—
1623C2×C42—473no—
1624C2×C42—473no—
1625C2×C42—473no—
1626C2×C42—473no—
1627C2×C42—473no—
1628C2×C42—473no—
1629C2×C42—473no—
1630C2×C42—473no—
1631C2×C42—473no—
1632C2×C42—473no—
1633C2×C42—476no—
1634C2×C42C22×D4713yes—
1635C24—471no—
1636#41—24no—
1637#41—9412no—
1638#41—9412no—
1639#41—9412no—
1640#41—9412no—
1641#41—944no—
1642#41—9412no—
1643#41—9412no—
1644#41—9412no—
1645#41—944no—
1646#41—18812no—
1647#41—1886no—
1648#41—1886no—
1649C2×Q8—24no—
1650C2×Q8—24no—
1651C2×Q8—478no—
1652C2×Q8—473no—
1653C2×Q8—471no—
1654C2×Q8—473no—
1655C2×Q8—476no—
1656C2×Q8—473no—
1657C2×Q8—473no—
1658C2×Q8—473no—
1659C2×Q8—473no—
1660C2×Q8—473no—
1661C2×Q8—476no—
1662C2×Q8—9412no—
1663C2×Q8—9412no—
1664C2×Q8—9412no—
1665C2×Q8—9412no—
1666C2×Q8—9412no—
1667C2×Q8—944no—
1668C2×Q8—944no—
1669C2×Q8C23×D4713yes—
1670C2×Q8C23×D4713yes—
1671C2×Q8C23×D4713yes—
1672C2×Q8C23×D4711yescharacteristic
1673C2×D4—471no—
1674C2×D4—473no—
1675C2×D4—471no—
1676C2×D4—473no—
1677C2×D4—471no—
1678C2×D4—473no—
1679C2×D4—473no—
1680C2×D4—471no—
1681C2×D4—473no—
1682C2×D4—473no—
1683C2×D4—476no—
1684C2×D4—471no—
1685C2×D4—473no—
1686C2×D4—473no—
1687C2×D4—471no—
1688C2×D4—473no—
1689C2×D4—473no—
1690C2×D4C23×D4713yes—
1691C2×D4C23×D4711yescharacteristic
1692C2×D4C23×D4713yes—
1693C2×D4C23×D4713yes—
1694C22×C4—471no—
1695C22×C4—473no—
1696C22×C4—473no—
1697C22×C4—471no—
1698C22×C4—473no—
1699C22×C4—476no—
1700C22×C4—473no—
1701C22×C4—473no—
1702C22×C4—473no—
1703C22×C4—471no—
1704C22×C4—471no—
1705C22×C4—471no—
1706C22×C4—471no—
1707C22×C4—473no—
1708C22×C4—471no—
1709C22×C4—473no—
1710C22×C4—473no—
1711C22×C4—473no—
1712C22×C4—473no—
1713C22×C4—473no—
1714C22×C4—476no—
1715C22×C4—473no—
1716C22×C4—473no—
1717C22×C4—473no—
1718C22×C4—473no—
1719C22×C4—473no—
1720C22×C4—473no—
1721C22×C4—476no—
1722C22×C4—944no—
1723C22×C4—9412no—
1724C22×C4—1886no—
1725C22×C4C23×D4711yescharacteristic
1726C22×C4C23×D4713yes—
1727C22×C4C23×D4713yes—
1728C22×C4C23×D4713yes—
1729C22×C4C23×D4713yes—
1730C22×C4C23×D4716yes—
1731C4⋊C4—476no—
1732C4⋊C4—476no—
1733C4⋊C4—476no—
1734C4⋊C4—476no—
1735C4⋊C4—473no—
1736C4⋊C4—473no—
1737C4⋊C4—476no—
1738C4⋊C4—473no—
1739C4⋊C4—473no—
1740C4⋊C4—473no—
1741C4⋊C4—473no—
1742C4⋊C4—471no—
1743C4⋊C4—473no—
1744C4⋊C4—473no—
1745C4⋊C4—471no—
1746C4⋊C4—471no—
1747C4⋊C4—473no—
1748C4⋊C4—473no—
1749C4⋊C4—471no—
1750C4⋊C4—476no—
1751C4⋊C4—476no—
1752C4⋊C4—473no—
1753C4⋊C4—473no—
1754C4⋊C4—476no—
1755C4⋊C4—476no—
1756C4⋊C4—473no—
1757C4⋊C4—473no—
1758C4⋊C4—476no—
1759C4⋊C4—473no—
1760C4⋊C4—473no—
1761C4⋊C4—473no—
1762C4⋊C4—473no—
1763C4⋊C4—476no—
1764C4⋊C4—473no—
1765C4⋊C4—476no—
1766C4⋊C4—473no—
1767C4⋊C4—473no—
1768C4⋊C4—473no—
1769C4⋊C4—473no—
1770C4⋊C4—473no—
1771C4⋊C4—476no—
1772C4⋊C4—473no—
1773C4⋊C4—473no—
1774C4⋊C4C23×D4713yes—
1775C4⋊C4C23×D4713yes—
1776C4⋊C4C23×D4716yes—
1777C4⋊C4C23×D4713yes—
1778C4⋊C4C23×D4713yes—
1779C4⋊C4C23×D4713yes—
1780C4⋊C4C23×D4711yescharacteristic
1781C4⋊C4C23×D4713yes—
1782C4⋊C4C23×D4713yes—
1783C4⋊C4C23×D4713yes—
1784C4⋊C4C23×D4713yes—
1785C4⋊C4C23×D4713yes—
1786C4⋊C4C23×D4713yes—
1787C4⋊C4C23×D4713yes—
1788C4⋊C4C23×D4716yes—
1789C4⋊C4C23×D4711yescharacteristic
1790C4⋊C4C23×D4716yes—
1791C22⋊C4—476no—
1792C22⋊C4—473no—
1793C22⋊C4—471no—
1794C22⋊C4—473no—
1795C22⋊C4—473no—
1796C22⋊C4—476no—
1797C22⋊C4—473no—
1798C22⋊C4—473no—
1799C22⋊C4—471no—
1800C22⋊C4—473no—
1801C22⋊C4—473no—
1802C22⋊C4—471no—
1803C22⋊C4—471no—
1804C22⋊C4—473no—
1805C22⋊C4—473no—
1806C22⋊C4—471no—
1807C22⋊C4—476no—
1808C22⋊C4—473no—
1809C22⋊C4—473no—
1810C22⋊C4—471no—
1811C22⋊C4—473no—
1812C22⋊C4—473no—
1813C22⋊C4—471no—
1814C22⋊C4—476no—
1815C22⋊C4—473no—
1816C22⋊C4—473no—
1817C22⋊C4—476no—
1818C22⋊C4—473no—
1819C22⋊C4—473no—
1820C22⋊C4—476no—
1821C22⋊C4—473no—
1822C22⋊C4—473no—
1823C22⋊C4C23×D4711yescharacteristic
1824C22⋊C4C23×D4713yes—
1825C22⋊C4C23×D4713yes—
1826C22⋊C4C23×D4713yes—
1827C22⋊C4C23×D4711yescharacteristic
1828C22⋊C4C23×D4713yes—
1829C22⋊C4C23×D4716yes—
1830C22⋊C4C23×D4713yes—
1831C22⋊C4C23×D4713yes—
1832C22⋊C4C23×D4711yescharacteristic
1833C22⋊C4C23×D4713yes—
1834C22⋊C4C23×D4716yes—
1835C42—473no—
1836C42—473no—
1837C42—473no—
1838C42—471no—
1839C42—473no—
1840C42—473no—
1841C42—471no—
1842C42—473no—
1843C42—473no—
1844C42—473no—
1845C42—473no—
1846C42—473no—
1847C42—473no—
1848C42—473no—
1849C42—473no—
1850C42—473no—
1851C42—473no—
1852C42—473no—
1853C42—473no—
1854C42—473no—
1855C42—476no—
1856C42—476no—
1857C42—476no—
1858C42—473no—
1859C42—473no—
1860C42C23×D4713yes—
1861C42C23×D4713yes—
1862C42C23×D4713yes—
1863C42C23×D4713yes—
1864C42C23×D4716yes—
1865C42C23×D4713yes—
1866C42C23×D4713yes—
1867C23—471no—
1868C23—471no—
1869C23—471no—
1870C23—473no—
1871C23—942no—
1872C23—942no—
1873C23—942no—
1874C23C24×D4711yescharacteristic
1875C23C24×D4713yes—
1876C23C24×D4711yescharacteristic
1877Q8—26no—
1878Q8—26no—
1879Q8—43no—
1880Q8—4712no—
1881Q8—9412no—
1882Q8—946no—
1883Q8—946no—
1884Q8—942no—
1885Q8—946no—
1886Q8—946no—
1887Q8—946no—
1888Q8—1886no—
1889Q8—1883no—
1890Q8#41×D4714yes—
1891D4—26no—
1892D4—22no—
1893D4—26no—
1894D4—43no—
1895D4—942no—
1896D4—946no—
1897D4—946no—
1898D4—942no—
1899D4—942no—
1900D4—946no—
1901D4—946no—
1902D4—946no—
1903D4—942no—
1904D4—946no—
1905D4—946no—
1906D4—942no—
1907D4—942no—
1908D4—946no—
1909D4—946no—
1910D4—1883no—
1911D4—1886no—
1912C2×C4—22no—
1913C2×C4—26no—
1914C2×C4—26no—
1915C2×C4—26no—
1916C2×C4—43no—
1917C2×C4—46no—
1918C2×C4—474no—
1919C2×C4—471no—
1920C2×C4—471no—
1921C2×C4—473no—
1922C2×C4—4712no—
1923C2×C4—473no—
1924C2×C4—473no—
1925C2×C4—471no—
1926C2×C4—473no—
1927C2×C4—473no—
1928C2×C4—471no—
1929C2×C4—471no—
1930C2×C4—473no—
1931C2×C4—473no—
1932C2×C4—942no—
1933C2×C4—942no—
1934C2×C4—942no—
1935C2×C4—942no—
1936C2×C4—946no—
1937C2×C4—9412no—
1938C2×C4—946no—
1939C2×C4—942no—
1940C2×C4—946no—
1941C2×C4—946no—
1942C2×C4—946no—
1943C2×C4—946no—
1944C2×C4—9412no—
1945C2×C4—946no—
1946C2×C4—942no—
1947C2×C4—946no—
1948C2×C4—946no—
1949C2×C4—946no—
1950C2×C4—1883no—
1951C2×C4—1883no—
1952C2×C4—1886no—
1953C2×C4—1883no—
1954C2×C4—1883no—
1955C2×C4—1883no—
1956C2×C4—1883no—
1957C2×C4—1883no—
1958C2×C4C24×D4711yescharacteristic
1959C2×C4C24×D4711yescharacteristic
1960C2×C4C24×D4713yes—
1961C2×C4C24×D4711yescharacteristic
1962C2×C4C24×D4711yescharacteristic
1963C2×C4C24×D4713yes—
1964C2×C4C24×D4713yes—
1965C2×C4C24×D4713yes—
1966C2×C4C24×D4713yes—
1967C2×C4C24×D4713yes—
1968C2×C4C24×D4711yescharacteristic
1969C2×C4C24×D4713yes—
1970C22—21no—
1971C22—21no—
1972C22—21no—
1973C22—23no—
1974C22—21no—
1975C22—23no—
1976C22—23no—
1977C22—21no—
1978C22—472no—
1979C22—472no—
1980C22—948no—
1981C22—941no—
1982C22—941no—
1983C22—941no—
1984C22—941no—
1985C22—943no—
1986C22—941no—
1987C22—941no—
1988C22—943no—
1989C22—941no—
1990C22—943no—
1991C222−1+4×D4712yes—
1992C22C25×D4711yescharacteristic
1993C4—21no—
1994C4—23no—
1995C4—23no—
1996C4—21no—
1997C4—21no—
1998C4—21no—
1999C4—23no—
2000C4—23no—
2001C4—23no—
2002C4—23no—
2003C4—21no—
2004C4—476no—
2005C4—472no—
2006C4—472no—
2007C4—943no—
2008C4—941no—
2009C4—943no—
2010C4—943no—
2011C4—941no—
2012C4—943no—
2013C4—943no—
2014C4—943no—
2015C4—941no—
2016C4C2×#41×D4716yes—
2017C2—22no—
2018C2—41no—
2019C2—43no—
2020C2—942no—
2021C2—942no—
2022C2—1883no—
2023C2—1881no—
2024C2C22×#41×D4711yescharacteristic
2025C2C2×2−1+4×D4711yescharacteristic
2026C2#585×D4711yescharacteristic
subgroupG/H
center, FrattiniC22C25×D47
commutator, socle, cosocleC22×C47C26
FittingC47×#3516C2
hypercenter#3516D47
hypocenterC47#62788
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C22 ◁ #3516

Complements

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

NH ≅ G/Ntype
1. #20257480C2semidirect
2. #20257478C2semidirect
3. #20257469C2semidirect
4. #20257467C2semidirect
5. #20257381C2semidirect
6. #20257377C2semidirect
7. #20257371C2semidirect
8. #20257249C2semidirect
9. #20257247C2semidirect
10. #20257195C2semidirect
11. #20257156C2semidirect
12. #20257096C2semidirect
13. #20257092C2semidirect
14. #20257038C2semidirect
15. #20257034C2semidirect
16. #20257008C2semidirect
17. #20257007C2semidirect
18. #20257004C2semidirect
19. #20257002C2semidirect
20. #20256982C2semidirect
21. #20256978C2semidirect
22. #20256967C2semidirect
23. Q8×#10625352C2semidirect
24. #20256820C2semidirect
25. #20256814C2semidirect
26. #20256682C2semidirect
27. #20256682C2semidirect
28. #20256599C2semidirect
29. #20256597C2semidirect
30. C2×C4×Q8×D47C2semidirect
31. C47×#3516C2semidirect
35. #15689857C22semidirect
36. #15689856C22semidirect
37. #15689855C22semidirect
38. Q8×Dic94C22semidirect
39. #15689853C22semidirect
40. #15689851C22semidirect
41. #15689851C22semidirect
42. #15689850C22semidirect
43. #15689850C22semidirect
44. #15689850C22semidirect
45. #15689849C22semidirect
46. #15689849C22semidirect
47. #15689848C22semidirect
48. #15689846C22semidirect
49. #15689845C22semidirect
50. #15689844C22semidirect
51. #15689842C22semidirect
52. #15689841C22semidirect
53. #15689841C22semidirect
54. #15689840C22semidirect
55. #15689840C22semidirect
58. #15689831C22semidirect
61. #15689828C22semidirect
63. #15689827C22semidirect
70. #15689814C22semidirect
71. #15689813C22semidirect
74. #15689811C22semidirect
76. #15689809C22semidirect
78. #15689806C22semidirect
80. #15689792C22semidirect
81. #15689791C22semidirect
87. Q8×C22⋊D47C22semidirect
90. #15689786C22semidirect
92. #15689785C22semidirect
96. #15689782C22semidirect
98. #15689781C22semidirect
109. #15689745C22semidirect
110. #15689744C22semidirect
111. #15689739C22semidirect
112. #15689738C22semidirect
113. #15689737C22semidirect
114. #15689735C22semidirect
115. #15689732C22semidirect
116. #15689731C22semidirect
117. #15689731C22semidirect
118. #15689730C22semidirect
131. #15689679C22semidirect
132. #15689678C22semidirect
133. #15689678C22semidirect
138. #15689675C22semidirect
139. #15689675C22semidirect
140. #15689675C22semidirect
147. #15689659C22semidirect
150. #15689658C22semidirect
159. #15689656C22semidirect
160. #15689654C22semidirect
163. #15689652C22semidirect
170. #15689650C22semidirect
181. #15689605C22semidirect
184. #15689603C22semidirect
186. #15689602C22semidirect
187. #15689600C22semidirect
190. #15689599C22semidirect
191. #15689599C22semidirect
192. #41×Dic47C22semidirect
195. C4×#10625354C22semidirect
199. #15689591C22semidirect
205. C4×#10625352C22semidirect
207. C2×Q8×Dic47C22semidirect
210. C2×#13093989C22semidirect
219. C4×Q8×D47C22semidirect
220. C4×Q8×D47C22semidirect
223. C47×#557C22semidirect
224. C47×#556C22semidirect
227. C47×#552C22semidirect
230. C47×#548C22semidirect
231. C47×#542C22semidirect
232. C47×#541C22semidirect
235. C47×#520C22semidirect
236. C47×#519C22semidirect
666. Q8×D47#41semidirect
907. C2×Dic472−1+4semidirect
1011. #3516D47semidirect
1061. #557C2×D47semidirect
1070. #556C2×D47semidirect
1097. #552C2×D47semidirect
1121. #548C2×D47semidirect
1135. #542C2×D47semidirect
1141. #541C2×D47semidirect
1212. #520C2×D47semidirect
1218. #519C2×D47semidirect
1251. C47#62788semidirect

Maximal subgroups

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

subgroupindex
#202574802
#202574782
#202574692
#202574672
#202573812
#202573772
#202573712
#202572492
#202572472
#202571952
#202571562
#202570962
#202570922
#202570382
#202570342
#202570082
#202570072
#202570042
#202570022
#202569822
#202569782
#202569672
Q8×#106253522
#202568202
#202568142
#202566822
#202565992
#202565972
C2×C4×Q8×D472
C47×#35162
#6278847