Finite Group Databasebeta

← #27124807

Subgroups — #27124807

Order 12032.

7220 conjugacy classes of subgroups.

The subgroup lattice has 1360 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257500C212yesmaximal, complemented
2#20257459C216yesmaximal, complemented
3#20257384C212yesmaximal, complemented
4#20257331C216yesmaximal, complemented
5#20257312C213yesmaximal, complemented
6#20257286C213yesmaximal, complemented
7#20257181C211yesmaximal, characteristic, complemented
8#20257143C213yesmaximal, complemented
9#20257126C213yesmaximal, complemented
10#20257069C211yesmaximal, characteristic, complemented
11#20257058C211yesmaximal, characteristic, complemented
12#20257008C212yesmaximal, complemented
13#20256999C216yesmaximal, complemented
14#20256988C212yesmaximal, complemented
15#20256954C216yesmaximal, complemented
16#20256822C213yesmaximal, complemented
17#20256811C213yesmaximal, complemented
18#20256685C213yesmaximal, complemented
19C2×#15689658C213yesmaximal, complemented
20#20256599C211yesmaximal, characteristic, complemented
21#20256594C211yesmaximal, characteristic, complemented
22C4×#41×D47C211yesmaximal, characteristic, complemented
23C47×#3504C211yesmaximal, characteristic, complemented
24C2×#13094071C2211yescharacteristic
25C2×#13094070C2211yescharacteristic
26C2×#41×D47C2211yescharacteristic
27#15689858C2216yescomplemented
28#15689858C2216yescomplemented
29#15689847C2216yescomplemented
30#15689846C2216yescomplemented
31#15689846C2216yescomplemented
32#15689839C2216yescomplemented
33#15689834C2216yescomplemented
34#15689826C2216yescomplemented
35#15689826C2216yescomplemented
36#15689826C2216yescomplemented
37#15689826C2216yescomplemented
38#15689821C22112yescomplemented
39#15689821C22112yescomplemented
40#15689815C22112yescomplemented
41#15689811C2216yescomplemented
42#15689811C2216yescomplemented
43#15689811C2216yescomplemented
44#15689811C2216yescomplemented
45#15689800C22112yescomplemented
46#15689800C22112yescomplemented
47#15689800C22112yescomplemented
48#15689800C22112yescomplemented
49#15689795C2212yes—
50Q8×D188C2212yescomplemented
51#15689785C2212yes—
52#15689785C2212yescomplemented
53#15689785C2212yescomplemented
54#15689785C2212yescomplemented
55#15689777C2216yescomplemented
56#15689776C2216yescomplemented
57#15689768C2216yes—
58#15689768C2216yescomplemented
59#15689768C2216yescomplemented
60#15689768C2216yescomplemented
61#15689764C22112yescomplemented
62D4×D188C2216yes—
63#15689747C2216yescomplemented
64#15689747C2216yescomplemented
65#15689747C2216yescomplemented
66#15689747C2216yescomplemented
67#15689736C2216yescomplemented
68#15689736C2216yescomplemented
69#15689729C2216yescomplemented
70#15689729C2216yescomplemented
71#15689722C22112yescomplemented
72#15689713C22112yescomplemented
73#15689704C2213yes—
74#15689704C2213yescomplemented
75#15689699C2213yescomplemented
76#15689699C2213yescomplemented
77#15689692C2213yes—
78#15689692C2213yescomplemented
79#15689678C2213yescomplemented
80#15689678C2216yescomplemented
81#15689678C2213yescomplemented
82#15689674C2213yescomplemented
83#15689674C2216yescomplemented
84#15689674C2213yescomplemented
85#15689673C2213yescomplemented
86#15689660C2216yescomplemented
87#15689660C2216yescomplemented
88#15689659C22112yescomplemented
89#15689659C2216yescomplemented
90#15689659C2216yescomplemented
91#15689658C2213yescomplemented
92#15689658C2216yescomplemented
93#15689658C2213yescomplemented
94#15689658C2216yescomplemented
95#15689658C2216yescomplemented
96#15689658C2216yescomplemented
97#15689658C2216yescomplemented
98#15689658C2216yescomplemented
99#15689658C2213yescomplemented
100#15689658C2216yescomplemented
101#15689658C2216yescomplemented
102#15689658C2216yescomplemented
103#15689658C2211yescharacteristic, complemented
104C2×#13094019C2216yescomplemented
105C2×#13094012C2213yescomplemented
106#15689636C22112yescomplemented
107#15689636C2216yescomplemented
108#15689636C2216yescomplemented
109#15689635C2213yes—
110#15689635C2213yescomplemented
111C2×#13094009C2216yescomplemented
112C2×#13094004C2213yescomplemented
113C2×#13093999C2213yes—
114#15689605C2212yescomplemented
115#15689604C2213yescomplemented
116#15689604C2213yescomplemented
117#15689602C2216yescomplemented
118#15689600C2213yescomplemented
119#15689599C2212yescomplemented
120#15689597C2213yescomplemented
121#15689595C2216yescomplemented
122#41×Dic47C2211yescharacteristic
123C4×#10625354C2211yescharacteristic, complemented
124C4×#10625354C2211yescharacteristic, complemented
125C4×#10625354C2212yescomplemented
126C4×#10625354C2216yescomplemented
127C4×#10625354C2216yescomplemented
128C4×#10625350C2213yescomplemented
129#15689591C2213yescomplemented
130#15689591C2213yescomplemented
131#15689591C2213yescomplemented
132C4×#10625352C2213yescomplemented
133C4×#10625352C2213yescomplemented
134C4×#10625352C2216yescomplemented
135C2×#13093989C2213yescomplemented
136C4×Q8×D47C2211yescharacteristic, complemented
137C4×Q8×D47C2211yescharacteristic, complemented
138C4×Q8×D47C2212yescomplemented
139C2×#13093986C2213yescomplemented
140C2×#13093986C2216yescomplemented
141C4×D4×D47C2213yescomplemented
142C4×D4×D47C2213yescomplemented
143C4×D4×D47C2216yescomplemented
144C2×#13093982C2216yescomplemented
145#117×D47C2213yescomplemented
146C2×C42×D47C2213yescomplemented
147C47×#557C2212yescomplemented
148C47×#557C2212yescomplemented
149C47×#554C2216yescomplemented
150C47×#554C2216yescomplemented
151C47×#544C2213yescomplemented
152C47×#544C2213yescomplemented
153C47×#533C2213yescomplemented
154C2×#125×C47C2213yescomplemented
155C47×#520C2211yescharacteristic
156C47×#520C2211yescharacteristic
157C4×#41×C47C2211yescharacteristic
158#13094071—28no—
159#13094070—28no—
160C2×#10625354C2312yes—
161C2×#10625354C2311yescharacteristic
162C2×#10625354C2316yes—
163C2×#10625354C2316yes—
164C2×#10625350C2313yes—
165C2×#10625350C2313yes—
166C2×#10625350C2313yes—
167C2×#10625352C2313yes—
168C2×#10625352C2316yes—
169#41×D47—28no—
170C22×Dic94C2313yes—
171C2×Q8×D47C2311yescharacteristic
172C2×Q8×D47C2312yes—
173C22×D188C2313yes—
174C22×D188C2316yes—
175C2×D4×D47C2313yes—
176C2×D4×D47C2316yes—
177C22×C4×D47C2313yes—
178C22×C4×D47C2313yes—
179C22×C4×D47C2313yes—
180C22×C4×D47C2316yes—
181#13094024C2313yes—
182#13094024C2316yes—
183#13094021C2313yes—
184#13094021C2316yes—
185#13094019C23112yes—
186#13094019C23112yes—
187#13094019C23112yes—
188#13094019C23112yes—
189#13094019C23112yes—
190#13094019C2316yes—
191#13094019C23112yes—
192#13094019C23112yes—
193#13094019C2316yes—
194#13094019C2316yes—
195#13094019C2312yes—
196#13094015C23112yes—
197#13094015C2316yes—
198#13094015C23112yes—
199#13094015C2316yes—
200#13094013C23112yes—
201#13094013C2316yes—
202#13094013C23112yes—
203#13094013C2316yes—
204#13094012C2316yes—
205#13094012C2316yes—
206#13094012C2316yes—
207#13094012C2316yes—
208#13094012C2316yes—
209#13094012C2313yes—
210#13094012C2311yescharacteristic
211#13094009C23112yes—
212#13094009C23112yes—
213#13094009C23112yes—
214#13094009C23112yes—
215#13094009C23112yes—
216#13094009C23112yes—
217#13094009C2316yes—
218#13094009C23112yes—
219#13094009C2316yes—
220#13094009C2316yes—
221#13094009C2312yes—
222#13094008C2316yes—
223#13094008C23112yes—
224#13094008C23112yes—
225#13094008C2316yes—
226#13094004C2313yes—
227#13094004C2316yes—
228#13094004C2316yes—
229#13094004C2316yes—
230#13094004C2313yes—
231#13094004C2316yes—
232#13094004C2316yes—
233#13094004C2316yes—
234#13094004C2316yes—
235#13094004C2313yes—
236#13094004C2311yescharacteristic
237#13094000C23112yes—
238#13094000C2316yes—
239#13094000C23112yes—
240#13094000C2316yes—
241#13093999C23112yes—
242#13093999C2313yes—
243#13093999C2316yes—
244#13093999C2316yes—
245#13093999C23112yes—
246#13093999C2316yes—
247#13093999C2316yes—
248#13093999C2313yes—
249#13093999C2316yes—
250#13093999C2316yes—
251#13093999C2316yes—
252#13093999C2316yes—
253#13093999C2316yes—
254#13093999C2313yes—
255#13093999C2311yescharacteristic
256#13093998C23112yes—
257#13093998C2316yes—
258#13093998C2316yes—
259#13093998C23112yes—
260#13093994C2316yes—
261#13093994C23112yes—
262#13093994C2316yes—
263#13093994C23112yes—
264Q8×Dic47C2316yes—
265Q8×Dic47C2311yescharacteristic
266Q8×Dic47C2311yescharacteristic
267Q8×Dic47C2316yes—
268C4×Dic94C2313yes—
269C4×Dic94C2313yes—
270C4×Dic94C2316yes—
271C4×Dic94C2316yes—
272#13093989C2313yes—
273#13093989C2313yes—
274#13093989C2316yes—
275#13093989C2316yes—
276#13093989C2313yes—
277#13093989C2316yes—
278#13093989C2313yes—
279#13093989C2313yes—
280#13093989C2311yescharacteristic
281C4×D188C2316yes—
282C4×D188C2316yes—
283C4×D188C2316yes—
284C4×D188C2316yes—
285C4×D188C2316yes—
286C4×D188C2316yes—
287C4×D188C2316yes—
288C4×D188C2313yes—
289C4×D188C2313yes—
290C4×D188C2316yes—
291D4×Dic47C2313yes—
292D4×Dic47C2313yes—
293#13093986C2313yes—
294#13093986C2313yes—
295#13093986C2316yes—
296#13093986C2316yes—
297#13093986C2313yes—
298#13093986C23112yes—
299#13093986C2316yes—
300#13093986C2316yes—
301#13093986C23112yes—
302#13093986C2316yes—
303#13093986C2316yes—
304#13093986C2313yes—
305#13093986C2313yes—
306#13093986C2316yes—
307#13093986C23112yes—
308#13093986C2311yescharacteristic
309#13093986C2312yes—
310#13093986C2316yes—
311C4×C22⋊D47C23112yes—
312C4×C22⋊D47C2316yes—
313C4×C22⋊D47C2316yes—
314C4×C22⋊D47C23112yes—
315(C22⋊D47)⋊C4C2316yes—
316(C22⋊D47)⋊C4C2316yes—
317(C22⋊D47)⋊C4C2316yes—
318(C22⋊D47)⋊C4C2316yes—
319(C22⋊D47)⋊C4C2316yes—
320(C22⋊D47)⋊C4C2316yes—
321#13093983C2313yes—
322#13093982C2316yes—
323#13093982C2316yes—
324#13093982C23112yes—
325#13093982C23112yes—
326#13093982C2316yes—
327#13093982C2316yes—
328#13093982C2313yes—
329#13093982C2316yes—
330#13093982C2313yes—
331#13093982C2316yes—
332#13093982C23112yes—
333#13093982C2312yes—
334#13093982C2316yes—
335#13093981C2316yes—
336#13093981C2316yes—
337#13093981C2316yes—
338#13093980C23112yes—
339#13093980C2316yes—
340C2×C4⋊Dic47C2316yes—
341C2×Dic47⋊C4C2316yes—
342C4⋊C4×D47C2313yes—
343C4⋊C4×D47C2316yes—
344C4⋊C4×D47C2316yes—
345C4⋊C4×D47C2313yes—
346C2×(C2×D47)⋊C4C2316yes—
347C2×(C2×D47)⋊C4C2316yes—
348C2×(C2×D47)⋊C4C2316yes—
349C2×(C2×D47)⋊C4C2316yes—
350C2×(C2×D47)⋊C4C2316yes—
351C22⋊C4×D47C2316yes—
352C22⋊C4×D47C23112yes—
353C2×C4×Dic47C2313yes—
354C2×C4×Dic47C2313yes—
355C2×C4×Dic47C2313yes—
356C2×C4×Dic47C2316yes—
357C42×D47C2311yescharacteristic
358C42×D47C2313yes—
359C42×D47C2313yes—
360C42×D47C2313yes—
361C42×D47C2313yes—
362C42×D47C2313yes—
363C42×D47C2313yes—
364C42×D47C2313yes—
365C42×D47C2316yes—
366C42×D47C2316yes—
367C2×#41×C47C2311yescharacteristic
368C4⋊Q8×C47C2313yes—
369C4⋊Q8×C47C2313yes—
370C4⋊Q8×C47C2316yes—
371C4⋊Q8×C47C2316yes—
372#125×C47C2316yes—
373#125×C47C2316yes—
374#125×C47C2316yes—
375#125×C47C2313yes—
376#125×C47C2316yes—
377#125×C47C2316yes—
378#125×C47C2311yescharacteristic
379C22⋊Q8×C47C23112yes—
380C22⋊Q8×C47C2316yes—
381C22⋊Q8×C47C2316yes—
382C22⋊Q8×C47C23112yes—
383C4×Q8×C47C2312yes—
384C4×Q8×C47C2311yescharacteristic
385C4×Q8×C47C2311yescharacteristic
386C4×Q8×C47C2312yes—
387C4×Q8×C47C2316yes—
388C4×Q8×C47C2316yes—
389C4×D4×C47C2316yes—
390C4×D4×C47C2313yes—
391C4×D4×C47C2313yes—
392C4×D4×C47C2316yes—
393#117×C47C2313yes—
394#117×C47C2313yes—
395#117×C47C2313yes—
396C2×C4⋊C4×C47C2313yes—
397C2×C4⋊C4×C47C2313yes—
398C2×C4⋊C4×C47C2316yes—
399C2×C4⋊C4×C47C2316yes—
400C2×C42×C47C2313yes—
401C23×D47C2413yes—
402C23×D47C2416yes—
403#41×C47#4118yescomplemented
404C2×Q8×C47C2416yes—
405C2×Q8×C47C2416yes—
406C2×Q8×C47C2411yescharacteristic
407C2×D4×C47C2413yes—
408C22×C4×C47C2413yes—
409C22×C4×C47C2413yes—
410C22×C4×C47C2416yes—
411C22×C4×C47C2416yes—
412C22×C4×C47C2413yes—
413C2×C22⋊D47C2416yes—
414C2×C22⋊D47C2416yes—
415C2×C22⋊D47C2416yes—
416C22×Dic47C2413yes—
417C22×Dic47C2413yes—
418C22×Dic47C2416yes—
419C22×Dic47C2413yes—
420#10625354—24no—
421#10625354—28no—
422#10625354—412no—
423#10625354—412no—
424Q8×D47—24no—
425Q8×D47—28no—
426#10625352—212no—
427#10625352—224no—
428D4×D47—212no—
429D4×D47—224no—
430#10625350—212no—
431#10625350—212no—
432#10625350—212no—
433C2×D188—212no—
434C2×D188—412no—
435C2×D188C2413yes—
436C2×D188C2411yescharacteristic
437C2×D188C2416yes—
438C2×D188C2416yes—
439C2×D188C2413yes—
440C2×D188C2412yes—
441C2×D188C24112yes—
442C2×D188C2416yes—
443C2×D188C2416yes—
444C2×D188C2416yes—
445C2×D188C2416yes—
446C2×C4×D47—212no—
447C2×C4×D47—46no—
448C2×C4×D47—412no—
449C2×C4×D47—46no—
450C2×C4×D47C2411yescharacteristic
451C2×C4×D47C2411yescharacteristic
452C2×C4×D47C2411yescharacteristic
453C2×C4×D47C2412yes—
454C2×C4×D47C2413yes—
455C2×C4×D47C2413yes—
456C2×C4×D47C2413yes—
457C2×C4×D47C2413yes—
458C2×C4×D47C2413yes—
459C2×C4×D47C2416yes—
460C2×C4×D47C2416yes—
461C2×C4×D47C2416yes—
462C2×C4×D47C2413yes—
463C2×C4×D47C2413yes—
464C2×C4×D47C2413yes—
465C2×C4×D47C2413yes—
466C2×C4×D47C2416yes—
467C2×C4×D47C2416yes—
468C2×C4×D47C24112yes—
469C2×Dic94—212no—
470C2×Dic94C2413yes—
471C2×Dic94C2411yescharacteristic
472C2×Dic94C2416yes—
473C2×Dic94C2413yes—
474C4⋊C4×C47C2413yes—
475C4⋊C4×C47C2413yes—
476C4⋊C4×C47C2416yes—
477C4⋊C4×C47C2416yes—
478C4⋊C4×C47C2416yes—
479C4⋊C4×C47C2416yes—
480C4⋊C4×C47C24112yes—
481C4⋊C4×C47C24112yes—
482C4⋊C4×C47C2411yescharacteristic
483C4⋊C4×C47C2411yescharacteristic
484C4⋊C4×C47C2413yes—
485C4⋊C4×C47C2413yes—
486C4⋊C4×C47C2412yes—
487C4⋊C4×C47C2412yes—
488C4⋊C4×C47C2416yes—
489C4⋊C4×C47C2416yes—
490C22⋊C4×C47C2416yes—
491C22⋊C4×C47C2416yes—
492C22⋊C4×C47C2416yes—
493C42×C47C2411yescharacteristic
494C42×C47C2413yes—
495C42×C47C2413yes—
496C42×C47C2413yes—
497C42×C47C2416yes—
498C42×C47C2416yes—
499C22⋊Dic47C2416yes—
500(C2×D47)⋊C4C2416yes—
501(C2×D47)⋊C4C24112yes—
502(C2×D47)⋊C4C2416yes—
503(C2×D47)⋊C4C2416yes—
504(C2×D47)⋊C4C2416yes—
505(C2×D47)⋊C4C2416yes—
506(C2×D47)⋊C4C2416yes—
507(C2×D47)⋊C4C2416yes—
508(C2×D47)⋊C4C2416yes—
509(C2×D47)⋊C4C24112yes—
510(C2×D47)⋊C4C24112yes—
511(C2×D47)⋊C4C24112yes—
512(C2×D47)⋊C4C24112yes—
513(C2×D47)⋊C4C2412yes—
514(C2×D47)⋊C4C2416yes—
515(C2×D47)⋊C4C2412yes—
516(C2×D47)⋊C4C2412yes—
517(C2×D47)⋊C4C2412yes—
518(C2×D47)⋊C4C2412yes—
519(C2×D47)⋊C4C2416yes—
520(C2×D47)⋊C4C2416yes—
521(C2×D47)⋊C4C2416yes—
522(C2×D47)⋊C4C2416yes—
523C4⋊Dic47C2413yes—
524C4⋊Dic47C2413yes—
525C4⋊Dic47C2416yes—
526C4⋊Dic47C24112yes—
527C4⋊Dic47C2412yes—
528C4⋊Dic47C2416yes—
529C4⋊Dic47C2416yes—
530C4⋊Dic47C2416yes—
531C4⋊Dic47C2416yes—
532Dic47⋊C4C2416yes—
533Dic47⋊C4C24112yes—
534Dic47⋊C4C2416yes—
535Dic47⋊C4C2416yes—
536Dic47⋊C4C2416yes—
537Dic47⋊C4C2416yes—
538Dic47⋊C4C2412yes—
539C4×Dic47C2413yes—
540C4×Dic47C2411yescharacteristic
541C4×Dic47C2411yescharacteristic
542C4×Dic47C2411yescharacteristic
543C4×Dic47C2412yes—
544C4×Dic47C2413yes—
545C4×Dic47C2413yes—
546C4×Dic47C2413yes—
547C4×Dic47C2413yes—
548C4×Dic47C2413yes—
549C4×Dic47C2413yes—
550C4×Dic47C2413yes—
551C4×Dic47C2413yes—
552C4×Dic47C2416yes—
553C4×Dic47C2416yes—
554C4×Dic47C2416yes—
555C4×Dic47C24112yes—
556C23×C47C2513yes—
557C22×D47—26no—
558C22×D47—212no—
559C22×D47—26no—
560C22×D47—43no—
561C22×D47—46no—
562C22×D47—46no—
563C22×D47C2516yes—
564C22×D47C2513yes—
565C22×D47C2512yes—
566C22×D47C2511yescharacteristic
567Q8×C47—46no—
568Q8×C47—46no—
569Q8×C47C2×#4114yes—
570D4×C47C2×#41112yes—
571C2×C4×C47—43no—
572C2×C4×C47—43no—
573C2×C4×C47—46no—
574C2×C4×C47—46no—
575C2×C4×C47C2×#41112yes—
576C2×C4×C47C2511yescharacteristic
577C2×C4×C47C2511yescharacteristic
578C2×C4×C47C2512yes—
579C2×C4×C47C2516yes—
580C2×C4×C47C2513yes—
581C2×C4×C47C2513yes—
582C2×C4×C47C2512yes—
583C2×C4×C47C2516yes—
584C2×C4×C47C2511yescharacteristic
585C2×C4×C47C2513yes—
586C22⋊D47—212no—
587C22⋊D47—212no—
588C22⋊D47—212no—
589C2×Dic47—212no—
590C2×Dic47—26no—
591C2×Dic47—26no—
592C2×Dic47—43no—
593C2×Dic47C2511yescharacteristic
594C2×Dic47C2513yes—
595C2×Dic47C2513yes—
596C2×Dic47C2511yescharacteristic
597C2×Dic47C2512yes—
598C2×Dic47C2513yes—
599C2×Dic47C2516yes—
600C2×Dic47C2511yescharacteristic
601D188—212no—
602D188—24no—
603D188—26no—
604D188—212no—
605D188—22no—
606D188—26no—
607D188—412no—
608D188—46no—
609D188—46no—
610D188—46no—
611D188—46no—
612C4×D47—22no—
613C4×D47—26no—
614C4×D47—22no—
615C4×D47—26no—
616C4×D47—26no—
617C4×D47—26no—
618C4×D47—212no—
619C4×D47—212no—
620C4×D47—22no—
621C4×D47—212no—
622C4×D47—26no—
623C4×D47—24no—
624C4×D47—43no—
625C4×D47—43no—
626C4×D47—43no—
627C4×D47—412no—
628C4×D47—43no—
629C4×D47—46no—
630C4×D47—46no—
631Dic94—26no—
632Dic94—212no—
633Dic94—22no—
634Dic94—26no—
635#62810—471nomaximal, Sylow
636C22×C47—23no—
637C22×C47—23no—
638C22×C47C22×#4116yes—
639C22×C47C2611yescharacteristic
640C2×D47—21no—
641C2×D47—21no—
642C2×D47—22no—
643C2×D47—23no—
644C2×D47—26no—
645C2×D47—26no—
646C2×D47—23no—
647C2×D47—22no—
648C2×D47—22no—
649C2×D47—23no—
650C2×D47—26no—
651C2×D47—412no—
652C2×D47—812no—
653C2×D47#58512yes—
654C4×C47—21no—
655C4×C47—21no—
656C4×C47—26no—
657C4×C47—23no—
658C4×C47—23no—
659C4×C47—22no—
660C4×C47—22no—
661C4×C47—26no—
662C4×C47C22×#4112yes—
663C4×C47C22×#4116yes—
664Dic47—26no—
665Dic47—23no—
666Dic47—22no—
667Dic47—21no—
668Dic47—23no—
669Dic47—21no—
670Dic47—23no—
671Dic47#58512yes—
672#3524—472no—
673#3521—476no—
674#3516—472no—
675#3513—476no—
676#3512—473no—
677#3510—473no—
678#3504D4711yescharacteristic, complemented
679#3500—471no—
680#3495—473no—
681#3494—473no—
682#3489—471no—
683#3488—471no—
684#3482—472no—
685#3481—476no—
686#3480—472no—
687#3475—476no—
688#3461—473no—
689#3460—473no—
690#3444—473no—
691C2×#529—473no—
692C4×2−1+4—471no—
693C4×H(5,𝔽2)—471no—
694C2×C4×#41—471no—
695C2×C47—26no—
696C2×C47C23×#4111yescharacteristic
697C2×C47C2×#58511yescharacteristic
698C2×C47C2×#58511yescharacteristic
699D47—22no—
700D47—42no—
701D47—43no—
702D47—46no—
703C2×2−1+4—471no—
704C2×H(5,𝔽2)—471no—
705C22×#41—471no—
706#559—476no—
707#559—476no—
708#557C2×D4712yescomplemented
709#557C2×D4712yescomplemented
710#556—476no—
711#556—476no—
712#556—476no—
713#555—476no—
714#554—476no—
715#554C2×D4716yescomplemented
716#554C2×D4716yescomplemented
717#553—476no—
718#553—476no—
719#553—476no—
720#553—476no—
721#553—4712no—
722#553—4712no—
723#552—476no—
724#552—476no—
725#552—476no—
726#552—476no—
727#552—4712no—
728#551—4712no—
729#551—4712no—
730#551—4712no—
731#551—4712no—
732#550—472no—
733D4×Q8—472no—
734#548—472no—
735#548—472no—
736#548—472no—
737#548—472no—
738#547—476no—
739#547—476no—
740#546—4712no—
741#546—476no—
742#546—476no—
743#546—476no—
744#546—476no—
745D42—476no—
746#544C2×D4713yescomplemented
747#544C2×D4713yescomplemented
748#542—476no—
749#542—476no—
750#542—476no—
751#542—476no—
752#541—476no—
753#541—476no—
754#540—476no—
755#540—476no—
756#539—4712no—
757#538—4712no—
758#537—473no—
759#537—473no—
760#536—473no—
761#536—473no—
762#535—473no—
763#535—473no—
764#533—473no—
765#533—473no—
766#533—476no—
767#533C2×D4713yescomplemented
768#532—473no—
769#532—473no—
770#532—476no—
771#532—473no—
772#529—473no—
773#529—476no—
774#529—476no—
775#529—476no—
776#529—476no—
777#529—476no—
778#529—476no—
779#529—476no—
780#529—471no—
781#529—473no—
782#529—473no—
783#529—476no—
784#529—476no—
785#529—476no—
786#529—476no—
787#529—4712no—
788#529—476no—
789#529—476no—
790C2×#126—476no—
791C2×#125C2×D4713yescomplemented
792C2×#124—473no—
793#525—476no—
794#525—476no—
795#525—4712no—
796#525—473no—
797#525—473no—
798C2×#123—476no—
799C2×C22⋊Q8—473no—
800C2×#121—473no—
801#520—472no—
802#520—476no—
803#520—473no—
804#520—473no—
805#520C2×D4711yescharacteristic
806#520C2×D4711yescharacteristic
807#519—472no—
808#519—473no—
809#518—476no—
810#518—473no—
811C4×#41—471no—
812C4×#41—471no—
813C4×#41—471no—
814C4×#41—472no—
815C4×#41—476no—
816C4×#41—476no—
817C4×#41—473no—
818C4×#41—473no—
819C4×#41—476no—
820C4×#41—473no—
821C4×#41—473no—
822C4×#41—473no—
823C4×#41—473no—
824C4×#41C2×D4711yescharacteristic
825C2×C4×Q8—471no—
826C2×C4×Q8—471no—
827C2×C4×Q8—472no—
828C2×C4×Q8—473no—
829C2×C4×D4—473no—
830C2×C4×D4—473no—
831C2×C4×D4—476no—
832C2×C4×D4—473no—
833C2×C4×D4—476no—
834C2×#117—473no—
835C2×#117—476no—
836C22×C42—473no—
837C47#6281011yescharacteristic, complemented, Sylow
8382−1+4—948no—
839H(5,𝔽2)—948no—
840C2×#41—471no—
841C2×#41—472no—
842C2×#41—476no—
843C2×#41—476no—
844C2×#41—473no—
845C2×#41—476no—
846C2×#41—473no—
847C2×#41—473no—
848C2×#41—473no—
849C2×#41—948no—
850C2×#41C22×D4711yescharacteristic
851C22×Q8—471no—
852C22×Q8—472no—
853C22×Q8—473no—
854C22×D4—473no—
855C22×D4—476no—
856C22×D4—473no—
857C22×D4—476no—
858C23×C4—473no—
859C23×C4—476no—
860C23×C4—473no—
861C23×C4—473no—
862C4⋊Q8—473no—
863C4⋊Q8—476no—
864C4⋊Q8C22×D4713yes—
865C4⋊Q8C22×D4713yes—
866C4⋊Q8C22×D4716yes—
867C4⋊Q8C22×D4716yes—
868#127—473no—
869#127—476no—
870#126—476no—
871#126—4712no—
872#126—4712no—
873#126—4712no—
874#126—472no—
875#126—476no—
876#126—476no—
877#126—4712no—
878#126—4712no—
879#126—4712no—
880#126—4712no—
881#125—476no—
882#125—476no—
883#125—4712no—
884#125—4712no—
885#125C22×D4713yes—
886#125C22×D4716yes—
887#125C22×D4716yes—
888#125C22×D4716yes—
889#125C22×D4711yescharacteristic
890#125C22×D4716yes—
891#125C22×D4716yes—
892#124—476no—
893#124—476no—
894#124—4712no—
895#124—4712no—
896#124—473no—
897#124—476no—
898#124—476no—
899#124—476no—
900#124—471no—
901#124—476no—
902#124—476no—
903#123—476no—
904#123—4712no—
905#123—4712no—
906#123—4712no—
907#123—472no—
908#123—476no—
909#123—476no—
910#123—4712no—
911#123—4712no—
912#123—4712no—
913#123—4712no—
914#123—476no—
915#123—476no—
916#123—4712no—
917#123—4712no—
918C22⋊Q8—476no—
919C22⋊Q8—476no—
920C22⋊Q8—4712no—
921C22⋊Q8—4712no—
922C22⋊Q8—473no—
923C22⋊Q8—476no—
924C22⋊Q8—476no—
925C22⋊Q8—476no—
926C22⋊Q8—471no—
927C22⋊Q8—473no—
928C22⋊Q8—473no—
929C22⋊Q8—476no—
930C22⋊Q8—476no—
931C22⋊Q8—476no—
932C22⋊Q8—476no—
933C22⋊Q8C22×D4716yes—
934C22⋊Q8C22×D4716yes—
935C22⋊Q8C22×D47112yes—
936C22⋊Q8C22×D47112yes—
937#121—476no—
938#121—476no—
939#121—4712no—
940#121—4712no—
941#121—473no—
942#121—476no—
943#121—476no—
944#121—476no—
945#121—471no—
946#121—473no—
947#121—473no—
948#121—476no—
949#121—476no—
950#121—4712no—
951#121—476no—
952#121—476no—
953#121—476no—
954#121—476no—
955#121—4712no—
956#120—476no—
957#120—476no—
958#120—4712no—
959#120—4712no—
960C4×Q8—471no—
961C4×Q8—471no—
962C4×Q8—476no—
963C4×Q8—476no—
964C4×Q8—476no—
965C4×Q8—473no—
966C4×Q8—473no—
967C4×Q8—473no—
968C4×Q8—476no—
969C4×Q8—476no—
970C4×Q8—471no—
971C4×Q8—473no—
972C4×Q8—473no—
973C4×Q8—473no—
974C4×Q8—473no—
975C4×Q8—476no—
976C4×Q8—476no—
977C4×Q8C22×D4711yescharacteristic
978C4×Q8C22×D4711yescharacteristic
979C4×Q8C22×D4712yes—
980C4×Q8C22×D4712yes—
981C4×Q8C22×D4716yes—
982C4×Q8C22×D4716yes—
983C4×D4—473no—
984C4×D4—473no—
985C4×D4—476no—
986C4×D4—476no—
987C4×D4—4712no—
988C4×D4—4712no—
989C4×D4—476no—
990C4×D4—476no—
991C4×D4—473no—
992C4×D4—473no—
993C4×D4—473no—
994C4×D4—476no—
995C4×D4—476no—
996C4×D4—4712no—
997C4×D4—4712no—
998C4×D4—4712no—
999C4×D4—472no—
1000C4×D4—471no—
1001C4×D4—473no—
1002C4×D4—473no—
1003C4×D4—476no—
1004C4×D4—476no—
1005C4×D4—476no—
1006C4×D4—476no—
1007C4×D4—476no—
1008C4×D4—476no—
1009C4×D4—476no—
1010C4×D4—476no—
1011C4×D4—476no—
1012C4×D4—476no—
1013C4×D4—473no—
1014C4×D4—473no—
1015C4×D4—476no—
1016C4×D4—476no—
1017C4×D4—476no—
1018C4×D4—476no—
1019C4×D4—476no—
1020C4×D4—476no—
1021C4×D4—476no—
1022C4×D4—476no—
1023C4×D4C22×D4713yes—
1024C4×D4C22×D4713yes—
1025C4×D4C22×D4716yes—
1026C4×D4C22×D4716yes—
1027#117—473no—
1028#117—476no—
1029#117—473no—
1030#117—473no—
1031#117—4712no—
1032#117—4712no—
1033#117—4712no—
1034#117—472no—
1035#117—476no—
1036#117—476no—
1037#117—476no—
1038#117—476no—
1039#117—476no—
1040#117—476no—
1041#117—476no—
1042#117—4712no—
1043#117—476no—
1044#117—476no—
1045#117—476no—
1046#117C22×D4713yes—
1047#117C22×D4713yes—
1048#117C22×D4713yes—
1049C2×C4⋊C4—476no—
1050C2×C4⋊C4—476no—
1051C2×C4⋊C4—473no—
1052C2×C4⋊C4—473no—
1053C2×C4⋊C4—476no—
1054C2×C4⋊C4—476no—
1055C2×C4⋊C4C22×D4716yes—
1056C2×C4⋊C4C22×D4713yes—
1057C2×C4⋊C4C22×D4716yes—
1058C2×C4⋊C4C22×D4713yes—
1059C2×C22⋊C4—476no—
1060C2×C22⋊C4—476no—
1061C2×C22⋊C4—476no—
1062C2×C22⋊C4—476no—
1063C2×C22⋊C4—476no—
1064C2×C22⋊C4—476no—
1065C2×C22⋊C4—4712no—
1066C2×C42—473no—
1067C2×C42—476no—
1068C2×C42—473no—
1069C2×C42—473no—
1070C2×C42—473no—
1071C2×C42—473no—
1072C2×C42—473no—
1073C2×C42—476no—
1074C2×C42—476no—
1075C2×C42—473no—
1076C2×C42—473no—
1077C2×C42—473no—
1078C2×C42—473no—
1079C2×C42—471no—
1080C2×C42C22×D4713yes—
1081C24—473no—
1082C24—476no—
1083#41—944no—
1084#41—948no—
1085#41—9412no—
1086#41—9424no—
1087#41—9412no—
1088#41—9412no—
1089#41—9412no—
1090#41—18812no—
1091#41—18812no—
1092#41#1062535418yescomplemented
1093C2×Q8—473no—
1094C2×Q8—476no—
1095C2×Q8—473no—
1096C2×Q8—471no—
1097C2×Q8—944no—
1098C2×Q8—948no—
1099C2×Q8—9412no—
1100C2×Q8C23×D4716yes—
1101C2×Q8C23×D4716yes—
1102C2×Q8C23×D4711yescharacteristic
1103C2×D4—476no—
1104C2×D4—476no—
1105C2×D4—476no—
1106C2×D4—472no—
1107C2×D4—476no—
1108C2×D4—473no—
1109C2×D4—476no—
1110C2×D4—473no—
1111C2×D4—471no—
1112C2×D4—476no—
1113C2×D4—476no—
1114C2×D4—476no—
1115C2×D4—476no—
1116C2×D4—4712no—
1117C2×D4—9412no—
1118C2×D4—9424no—
1119C2×D4—9412no—
1120C2×D4—18812no—
1121C2×D4C23×D4713yes—
1122C22×C4—473no—
1123C22×C4—473no—
1124C22×C4—476no—
1125C22×C4—473no—
1126C22×C4—471no—
1127C22×C4—471no—
1128C22×C4—471no—
1129C22×C4—472no—
1130C22×C4—473no—
1131C22×C4—473no—
1132C22×C4—473no—
1133C22×C4—473no—
1134C22×C4—473no—
1135C22×C4—476no—
1136C22×C4—476no—
1137C22×C4—476no—
1138C22×C4—473no—
1139C22×C4—473no—
1140C22×C4—473no—
1141C22×C4—473no—
1142C22×C4—476no—
1143C22×C4—476no—
1144C22×C4—4712no—
1145C22×C4—9412no—
1146C22×C4—1886no—
1147C22×C4—18812no—
1148C22×C4—1886no—
1149C22×C4C23×D4713yes—
1150C22×C4C23×D4713yes—
1151C22×C4C23×D4716yes—
1152C22×C4C23×D4716yes—
1153C22×C4C23×D4713yes—
1154C4⋊C4—476no—
1155C4⋊C4—4712no—
1156C4⋊C4—476no—
1157C4⋊C4—476no—
1158C4⋊C4—476no—
1159C4⋊C4—472no—
1160C4⋊C4—476no—
1161C4⋊C4—473no—
1162C4⋊C4—473no—
1163C4⋊C4—476no—
1164C4⋊C4—4712no—
1165C4⋊C4—472no—
1166C4⋊C4—476no—
1167C4⋊C4—476no—
1168C4⋊C4—476no—
1169C4⋊C4—476no—
1170C4⋊C4C23×D4716yes—
1171C4⋊C4C23×D4716yes—
1172C4⋊C4C23×D4713yes—
1173C4⋊C4C23×D4713yes—
1174C4⋊C4C23×D4716yes—
1175C4⋊C4C23×D4716yes—
1176C4⋊C4C23×D4713yes—
1177C4⋊C4C23×D4713yes—
1178C4⋊C4C23×D47112yes—
1179C4⋊C4C23×D47112yes—
1180C4⋊C4C23×D4712yes—
1181C4⋊C4C23×D4712yes—
1182C4⋊C4C23×D4716yes—
1183C4⋊C4C23×D4716yes—
1184C4⋊C4C23×D4711yescharacteristic
1185C4⋊C4C23×D4711yescharacteristic
1186C22⋊C4—476no—
1187C22⋊C4—476no—
1188C22⋊C4—476no—
1189C22⋊C4—476no—
1190C22⋊C4—4712no—
1191C22⋊C4—476no—
1192C22⋊C4—476no—
1193C22⋊C4—476no—
1194C22⋊C4—476no—
1195C22⋊C4—476no—
1196C22⋊C4—4712no—
1197C22⋊C4—4712no—
1198C22⋊C4—4712no—
1199C22⋊C4—4712no—
1200C22⋊C4—472no—
1201C22⋊C4—476no—
1202C22⋊C4—472no—
1203C22⋊C4—472no—
1204C22⋊C4—472no—
1205C22⋊C4—472no—
1206C22⋊C4—476no—
1207C22⋊C4—476no—
1208C22⋊C4—476no—
1209C22⋊C4—476no—
1210C22⋊C4C23×D4716yes—
1211C22⋊C4C23×D4716yes—
1212C22⋊C4C23×D4716yes—
1213C42—471no—
1214C42—471no—
1215C42—473no—
1216C42—471no—
1217C42—473no—
1218C42—476no—
1219C42—473no—
1220C42—472no—
1221C42—473no—
1222C42—473no—
1223C42—473no—
1224C42—473no—
1225C42—473no—
1226C42—473no—
1227C42—476no—
1228C42—4712no—
1229C42—476no—
1230C42C23×D4711yescharacteristic
1231C42C23×D4713yes—
1232C42C23×D4713yes—
1233C42C23×D4713yes—
1234C42C23×D4716yes—
1235C42C23×D4716yes—
1236C23—471no—
1237C23—476no—
1238C23—473no—
1239C23—472no—
1240C23—946no—
1241C23—9412no—
1242C23—946no—
1243C23—1886no—
1244C23—1886no—
1245C23—1883no—
1246C23C24×D4713yes—
1247Q8—46no—
1248Q8—46no—
1249Q8—9412no—
1250Q8—946no—
1251Q8—946no—
1252Q8—942no—
1253Q8C2×#1062535414yes—
1254D4—9412no—
1255D4—944no—
1256D4—9412no—
1257D4—9412no—
1258D4—9412no—
1259D4—9412no—
1260D4—946no—
1261D4—946no—
1262D4—942no—
1263D4—18812no—
1264D4—1886no—
1265D4—1886no—
1266D4—1886no—
1267D4—1886no—
1268D4C2×#10625354112yes—
1269C2×C4—43no—
1270C2×C4—43no—
1271C2×C4—46no—
1272C2×C4—46no—
1273C2×C4—471no—
1274C2×C4—471no—
1275C2×C4—471no—
1276C2×C4—473no—
1277C2×C4—473no—
1278C2×C4—476no—
1279C2×C4—473no—
1280C2×C4—472no—
1281C2×C4—942no—
1282C2×C4—9412no—
1283C2×C4—946no—
1284C2×C4—944no—
1285C2×C4—942no—
1286C2×C4—946no—
1287C2×C4—946no—
1288C2×C4—946no—
1289C2×C4—9412no—
1290C2×C4—942no—
1291C2×C4—946no—
1292C2×C4—946no—
1293C2×C4—946no—
1294C2×C4—9412no—
1295C2×C4—9412no—
1296C2×C4—1883no—
1297C2×C4—1883no—
1298C2×C4—18812no—
1299C2×C4—1883no—
1300C2×C4—1883no—
1301C2×C4—1886no—
1302C2×C4—1886no—
1303C2×C4—1883no—
1304C2×C4C2×#10625354112yes—
1305C2×C4C24×D4711yescharacteristic
1306C2×C4C24×D4711yescharacteristic
1307C2×C4C24×D4712yes—
1308C2×C4C24×D4716yes—
1309C2×C4C24×D4713yes—
1310C2×C4C24×D4713yes—
1311C2×C4C24×D4712yes—
1312C2×C4C24×D4716yes—
1313C2×C4C24×D4711yescharacteristic
1314C2×C4C24×D4713yes—
1315C22—23no—
1316C22—23no—
1317C22—472no—
1318C22—941no—
1319C22—941no—
1320C22—942no—
1321C22—943no—
1322C22—946no—
1323C22—946no—
1324C22—943no—
1325C22—942no—
1326C22—942no—
1327C22—943no—
1328C22—946no—
1329C22—37612no—
1330C22—18812no—
1331C22C22×#1062535416yes—
1332C22C25×D4711yescharacteristic
1333C4—21no—
1334C4—21no—
1335C4—26no—
1336C4—26no—
1337C4—23no—
1338C4—23no—
1339C4—22no—
1340C4—22no—
1341C4—472no—
1342C4—941no—
1343C4—942no—
1344C4—943no—
1345C4—946no—
1346C4—943no—
1347C4—941no—
1348C4—943no—
1349C4C22×#1062535416yes—
1350C4C22×#1062535412yes—
1351C2—26no—
1352C2—942no—
1353C2—1886no—
1354C2—1883no—
1355C2—1882no—
1356C2C23×#1062535411yescharacteristic
1357C2#585×D4711yescharacteristic
1358C2#585×D4711yescharacteristic
subgroupG/H
center, FrattiniC22C25×D47
commutator, socle, cosocleC22×C47C26
FittingC47×#3504C2
hypercenter#3504D47
hypocenterC47#62810
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C22 ◁ #3504

Complements

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

NH ≅ G/Ntype
1. #20257500C2semidirect
2. #20257459C2semidirect
3. #20257384C2semidirect
4. #20257331C2semidirect
5. #20257312C2semidirect
6. #20257286C2semidirect
7. #20257181C2semidirect
8. #20257143C2semidirect
9. #20257126C2semidirect
10. #20257069C2semidirect
11. #20257058C2semidirect
12. #20257008C2semidirect
13. #20256999C2semidirect
14. #20256988C2semidirect
15. #20256954C2semidirect
16. #20256822C2semidirect
17. #20256811C2semidirect
18. #20256685C2semidirect
19. C2×#15689658C2semidirect
20. #20256599C2semidirect
21. #20256594C2semidirect
22. C4×#41×D47C2semidirect
23. C47×#3504C2semidirect
27. #15689858C22semidirect
28. #15689858C22semidirect
29. #15689847C22semidirect
30. #15689846C22semidirect
31. #15689846C22semidirect
32. #15689839C22semidirect
33. #15689834C22semidirect
34. #15689826C22semidirect
35. #15689826C22semidirect
36. #15689826C22semidirect
37. #15689826C22semidirect
38. #15689821C22semidirect
39. #15689821C22semidirect
40. #15689815C22semidirect
41. #15689811C22semidirect
42. #15689811C22semidirect
43. #15689811C22semidirect
44. #15689811C22semidirect
45. #15689800C22semidirect
46. #15689800C22semidirect
47. #15689800C22semidirect
48. #15689800C22semidirect
50. Q8×D188C22semidirect
52. #15689785C22semidirect
53. #15689785C22semidirect
54. #15689785C22semidirect
55. #15689777C22semidirect
56. #15689776C22semidirect
58. #15689768C22semidirect
59. #15689768C22semidirect
60. #15689768C22semidirect
61. #15689764C22semidirect
63. #15689747C22semidirect
64. #15689747C22semidirect
65. #15689747C22semidirect
66. #15689747C22semidirect
67. #15689736C22semidirect
68. #15689736C22semidirect
69. #15689729C22semidirect
70. #15689729C22semidirect
71. #15689722C22semidirect
72. #15689713C22semidirect
74. #15689704C22semidirect
75. #15689699C22semidirect
76. #15689699C22semidirect
78. #15689692C22semidirect
79. #15689678C22semidirect
80. #15689678C22semidirect
81. #15689678C22semidirect
82. #15689674C22semidirect
83. #15689674C22semidirect
84. #15689674C22semidirect
85. #15689673C22semidirect
86. #15689660C22semidirect
87. #15689660C22semidirect
88. #15689659C22semidirect
89. #15689659C22semidirect
90. #15689659C22semidirect
91. #15689658C22semidirect
92. #15689658C22semidirect
93. #15689658C22semidirect
94. #15689658C22semidirect
95. #15689658C22semidirect
96. #15689658C22semidirect
97. #15689658C22semidirect
98. #15689658C22semidirect
99. #15689658C22semidirect
100. #15689658C22semidirect
101. #15689658C22semidirect
102. #15689658C22semidirect
103. #15689658C22semidirect
104. C2×#13094019C22semidirect
105. C2×#13094012C22semidirect
106. #15689636C22semidirect
107. #15689636C22semidirect
108. #15689636C22semidirect
110. #15689635C22semidirect
111. C2×#13094009C22semidirect
112. C2×#13094004C22semidirect
114. #15689605C22semidirect
115. #15689604C22semidirect
116. #15689604C22semidirect
117. #15689602C22semidirect
118. #15689600C22semidirect
119. #15689599C22semidirect
120. #15689597C22semidirect
121. #15689595C22semidirect
123. C4×#10625354C22semidirect
124. C4×#10625354C22semidirect
125. C4×#10625354C22semidirect
126. C4×#10625354C22semidirect
127. C4×#10625354C22semidirect
128. C4×#10625350C22semidirect
129. #15689591C22semidirect
130. #15689591C22semidirect
131. #15689591C22semidirect
132. C4×#10625352C22semidirect
133. C4×#10625352C22semidirect
134. C4×#10625352C22semidirect
135. C2×#13093989C22semidirect
136. C4×Q8×D47C22semidirect
137. C4×Q8×D47C22semidirect
138. C4×Q8×D47C22semidirect
139. C2×#13093986C22semidirect
140. C2×#13093986C22semidirect
141. C4×D4×D47C22semidirect
142. C4×D4×D47C22semidirect
143. C4×D4×D47C22semidirect
144. C2×#13093982C22semidirect
145. #117×D47C22semidirect
146. C2×C42×D47C22semidirect
147. C47×#557C22semidirect
148. C47×#557C22semidirect
149. C47×#554C22semidirect
150. C47×#554C22semidirect
151. C47×#544C22semidirect
152. C47×#544C22semidirect
153. C47×#533C22semidirect
154. C2×#125×C47C22semidirect
403. #41×C47#41semidirect
678. #3504D47semidirect
708. #557C2×D47semidirect
709. #557C2×D47semidirect
715. #554C2×D47semidirect
716. #554C2×D47semidirect
746. #544C2×D47semidirect
747. #544C2×D47semidirect
767. #533C2×D47semidirect
791. C2×#125C2×D47semidirect
837. C47#62810semidirect
1092. #41#10625354semidirect

Maximal subgroups

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

subgroupindex
#202575002
#202574592
#202573842
#202573312
#202573122
#202572862
#202571812
#202571432
#202571262
#202570692
#202570582
#202570082
#202569992
#202569882
#202569542
#202568222
#202568112
#202566852
C2×#156896582
#202565992
#202565942
C4×#41×D472
C47×#35042
#6281047