Finite Group Databasebeta

← #27124847

Subgroups — #27124847

Order 12032.

7286 conjugacy classes of subgroups.

The subgroup lattice has 1312 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257131C218yesmaximal, complemented
2#20257114C218yesmaximal, complemented
3#20257100C214yesmaximal, complemented
4#20257093C214yesmaximal, complemented
5#20257086C211yesmaximal, characteristic, complemented
6#20257084C212yesmaximal, complemented
7#20257078C211yesmaximal, characteristic, complemented
8#20257076C211yesmaximal, characteristic, complemented
9#20257073C212yesmaximal, complemented
10#20256953C218yesmaximal, complemented
11#20256943C218yesmaximal, complemented
12#20256790C211yesmaximal, characteristic, complemented
13#20256774C214yesmaximal, complemented
14#20256714C211yesmaximal, characteristic, complemented
15#20256682C214yesmaximal, complemented
16C2×#15689631C212yesmaximal, complemented
17#20256586C212yesmaximal, complemented
18C2×#117×D47C211yesmaximal, characteristic, complemented
19C47×#3491C211yesmaximal, characteristic, complemented
20C22×#10625352C2212yes—
21C23×C4×D47C2211yescharacteristic
22#15689845C2218yescomplemented
23#15689840C2218yescomplemented
24#15689836C2218yescomplemented
25#15689835C2218yescomplemented
26#15689829C2218yescomplemented
27#15689827C2218yescomplemented
28#15689824C2218yescomplemented
29#15689824C2218yescomplemented
30#15689822C2218yescomplemented
31#15689818C2218yescomplemented
32#15689810C2218yescomplemented
33#15689809C2218yescomplemented
34#15689808C2218yescomplemented
35#15689806C2218yescomplemented
36#15689806C2218yescomplemented
37#15689805C2218yescomplemented
38#15689805C2218yescomplemented
39#15689802C2218yescomplemented
40#15689800C2218yescomplemented
41#15689799C2218yescomplemented
42#15689797C2218yescomplemented
43#15689797C2218yescomplemented
44#15689796C2218yescomplemented
45#15689796C2218yescomplemented
46#15689775C2218yescomplemented
47#15689771C2218yescomplemented
48#15689769C2218yescomplemented
49#15689764C2218yescomplemented
50#15689763C2218yescomplemented
51#15689760C2218yescomplemented
52#15689752C2214yescomplemented
53#15689752C2218yescomplemented
54#15689749C2212yes—
55#15689749C2211yescharacteristic
56#15689743C2218yescomplemented
57#15689739C2218yescomplemented
58#15689732C2218yescomplemented
59#15689725C2218yescomplemented
60#15689720C2214yescomplemented
61#15689717C2218yescomplemented
62#15689713C2214yescomplemented
63#15689710C2214yescomplemented
64#15689706C2218yescomplemented
65#15689700C2214yescomplemented
66#15689695C2214yescomplemented
67#15689688C2214yescomplemented
68#15689685C2211yescharacteristic
69#15689682C2212yes—
70#15689679C2214yescomplemented
71#15689677C2214yescomplemented
72#15689675C2214yescomplemented
73#15689675C2218yescomplemented
74#15689672C2214yescomplemented
75#15689670C2214yescomplemented
76#15689668C2214yescomplemented
77#15689659C2218yescomplemented
78#15689658C2214yescomplemented
79#15689658C2218yescomplemented
80#15689657C2214yescomplemented
81#15689656C2218yescomplemented
82#15689656C2218yescomplemented
83#15689656C2218yescomplemented
84#15689652C2214yescomplemented
85#15689651C2218yescomplemented
86#15689650C2218yescomplemented
87#15689650C2218yescomplemented
88#15689636C2214yescomplemented
89#15689633C2214yescomplemented
90#15689632C2218yescomplemented
91#15689631C2218yes—
92#15689631C2218yes—
93#15689631C2214yescomplemented
94#15689631C2214yescomplemented
95#15689631C2214yescomplemented
96#15689631C2214yescomplemented
97#15689631C2214yescomplemented
98#15689629C2214yescomplemented
99C2×#13094007C2212yes—
100C2×#13094002C2214yescomplemented
101C2×#13093997C2214yescomplemented
102C2×#13093994C2212yes—
103C2×#13093992C2212yes—
104#15689602C2218yescomplemented
105#15689602C2218yescomplemented
106#15689600C2214yescomplemented
107#15689598C2212yes—
108#15689596C2212yes—
109#15689596C2212yes—
110#15689596C2214yescomplemented
111C4×#10625354C2214yescomplemented
112#15689591C2218yescomplemented
113C4×#10625352C2218yescomplemented
114C4×#10625352C2218yescomplemented
115C4×#10625352C2214yescomplemented
116C2×#13093986C2214yescomplemented
117C2×(C22⋊D47)⋊C4C2214yescomplemented
118C2×#13093983C2211yescharacteristic
119C2×#13093982C2212yescomplemented
120C2×#13093981C2212yescomplemented
121C2×#13093980C2211yescharacteristic
122C2×#13093980C2212yes—
123C2×#13093980C2211yescharacteristic
124C2×#13093980C2214yescomplemented
125#117×D47C2218yescomplemented
126#117×D47C2218yescomplemented
127#117×D47C2214yescomplemented
128C2×C4⋊C4×D47C2212yescomplemented
129C2×C22⋊C4×D47C2211yescharacteristic
130C2×C22⋊C4×D47C2211yescharacteristic
131C2×C42×D47C2212yescomplemented
132C47×#552C2218yescomplemented
133C47×#551C2218yescomplemented
134C47×#543C2211yescharacteristic
135C47×#539C2214yescomplemented
136C47×#534C2211yescharacteristic
137C47×#529C2214yescomplemented
138C2×#123×C47C2212yes—
139C47×#518C2212yes—
140C2×#117×C47C2211yescharacteristic
141C24×D47C2311yescharacteristic
142C2×#10625354C2314yes—
143C2×#10625350C2318yes—
144C2×#10625352—216no—
145C2×#10625352C2314yes—
146C2×#10625352C2314yes—
147C2×#10625352C2314yes—
148C2×#10625352C2314yes—
149C2×#10625352C2314yes—
150C22×Dic94C2312yes—
151C22×D188C2314yes—
152C22×C22⋊D47C2312yes—
153C22×C22⋊D47C2312yes—
154C22×C22⋊D47C2314yes—
155C23×Dic47C2312yes—
156C23×Dic47C2311yescharacteristic
157C22×C4×D47—28no—
158C22×C4×D47C2311yescharacteristic
159C22×C4×D47C2311yescharacteristic
160C22×C4×D47C2314yes—
161C22×C4×D47C2312yes—
162C22×C4×D47C2314yes—
163C22×C4×D47C2311yescharacteristic
164C22×C4×D47C2311yescharacteristic
165C22×C4×D47C2312yes—
166C22×C4×D47C2312yes—
167#13094023C2314yescomplemented
168#13094023C2314yescomplemented
169#13094023C2318yescomplemented
170#13094022C2314yescomplemented
171#13094022C2318yescomplemented
172#13094020C2314yescomplemented
173#13094019C2318yes—
174#13094019C2318yes—
175#13094019C2318yes—
176#13094019C2318yescomplemented
177#13094019C2318yescomplemented
178#13094019C2318yescomplemented
179#13094018C2318yes—
180#13094018C2318yescomplemented
181#13094017C2318yescomplemented
182#13094017C2318yescomplemented
183#13094016C2314yescomplemented
184#13094015C2318yescomplemented
185#13094014C2318yescomplemented
186#13094014C2318yescomplemented
187#13094014C2318yescomplemented
188#13094014C2318yescomplemented
189#13094014C2318yescomplemented
190#13094014C2318yescomplemented
191#13094013C2318yes—
192#13094012C2318yes—
193#13094012C2314yescomplemented
194#13094010C2318yes—
195#13094010C2318yes—
196#13094010C2318yescomplemented
197#13094010C2318yescomplemented
198#13094009C2318yes—
199#13094009C2318yes—
200#13094009C2318yes—
201#13094009C2318yes—
202#13094009C2318yescomplemented
203#13094008C2318yes—
204#13094008C2314yes—
205#13094008C2318yescomplemented
206#13094007C2318yes—
207#13094007C2314yes—
208#13094007C2318yes—
209#13094007C2314yes—
210#13094007C2314yes—
211#13094006C2318yes—
212#13094006C2318yes—
213#13094006C2318yescomplemented
214#13094005C2314yes—
215#13094004C2314yes—
216#13094004C2318yescomplemented
217#13094003C2318yes—
218#13094003C2314yes—
219#13094002C2318yes—
220#13094002C2318yes—
221#13094002C2318yes—
222#13094002C2318yes—
223#13094002C2318yes—
224#13094002C2318yescomplemented
225#13094002C2318yescomplemented
226#13094001C2318yes—
227#13094001C2318yes—
228#13094001C2318yes—
229#13094001C2318yescomplemented
230#13094001C2318yescomplemented
231#13094000C2314yes—
232#13093999C2314yes—
233#13093999C2318yes—
234#13093998C2318yes—
235#13093998C2314yes—
236#13093997C2318yes—
237#13093997C2318yes—
238#13093997C2318yes—
239#13093997C2318yes—
240#13093997C2318yes—
241#13093997C2318yes—
242#13093997C2318yescomplemented
243#13093996C2318yes—
244#13093996C2318yes—
245#13093996C2318yescomplemented
246#13093995C2314yes—
247#13093994C2318yes—
248#13093994C2314yes—
249#13093994C2314yes—
250#13093994C2314yes—
251#13093993C2314yes—
252#13093992C2318yes—
253#13093992C2314yes—
254#13093992C2314yes—
255#13093992C2314yes—
256Q8×Dic47C2314yescomplemented
257C4×Dic94C2318yescomplemented
258C4×Dic94C2314yescomplemented
259C4×Dic94C2318yescomplemented
260#13093989C2318yescomplemented
261#13093989C2318yescomplemented
262#13093989C2318yescomplemented
263#13093989C2314yescomplemented
264#13093989C2318yescomplemented
265C4×D188C2318yes—
266C4×D188C2314yescomplemented
267D4×Dic47C2318yes—
268D4×Dic47C2318yes—
269D4×Dic47C2314yescomplemented
270#13093986C2318yes—
271#13093986C2318yes—
272#13093986C2318yes—
273#13093986C2318yes—
274#13093986C2318yes—
275#13093986C2314yescomplemented
276C4×C22⋊D47C2318yes—
277C4×C22⋊D47C2318yes—
278C4×C22⋊D47C2318yes—
279C4×C22⋊D47C2318yescomplemented
280C4×C22⋊D47C2318yescomplemented
281(C22⋊D47)⋊C4C2318yes—
282(C22⋊D47)⋊C4C2318yes—
283(C22⋊D47)⋊C4C2318yes—
284(C22⋊D47)⋊C4C2318yes—
285(C22⋊D47)⋊C4C2318yes—
286(C22⋊D47)⋊C4C2318yes—
287(C22⋊D47)⋊C4C2318yes—
288(C22⋊D47)⋊C4C2318yescomplemented
289(C22⋊D47)⋊C4C2318yescomplemented
290(C22⋊D47)⋊C4C2318yescomplemented
291(C22⋊D47)⋊C4C2318yescomplemented
292#13093983C2314yes—
293#13093983C2318yes—
294#13093982C2318yes—
295#13093982C2314yes—
296#13093982C2314yes—
297#13093982C2318yes—
298#13093982C2318yescomplemented
299#13093982C2318yescomplemented
300#13093981C2318yes—
301#13093981C2318yes—
302#13093981C2318yes—
303#13093981C2318yescomplemented
304#13093981C2318yescomplemented
305#13093980C2314yes—
306#13093980C2314yes—
307#13093980C2314yes—
308#13093980C2314yes—
309#13093980C2314yes—
310#13093980C2314yes—
311#13093980C2314yes—
312#13093980C2314yes—
313#13093980C2314yes—
314#13093980C2314yes—
315#13093980C2318yescomplemented
316#13093980C2318yescomplemented
317#13093980C2318yescomplemented
318C2×C4⋊Dic47C2312yes—
319C2×Dic47⋊C4C2312yes—
320C2×Dic47⋊C4C2314yes—
321C2×Dic47⋊C4C2314yes—
322C2×Dic47⋊C4C2312yes—
323C2×Dic47⋊C4C2318yescomplemented
324C4⋊C4×D47C2318yes—
325C4⋊C4×D47C2318yes—
326C4⋊C4×D47C2318yescomplemented
327C2×C22⋊Dic47C2311yescharacteristic
328C2×C22⋊Dic47C2312yes—
329C2×C22⋊Dic47C2314yes—
330C2×C22⋊Dic47C2311yescharacteristic
331C2×(C2×D47)⋊C4C2314yes—
332C2×(C2×D47)⋊C4C2314yes—
333C2×(C2×D47)⋊C4C2314yes—
334C2×(C2×D47)⋊C4C2312yes—
335C2×(C2×D47)⋊C4C2312yes—
336C22⋊C4×D47C2318yes—
337C22⋊C4×D47C2318yes—
338C22⋊C4×D47C2314yes—
339C22⋊C4×D47C2314yes—
340C2×C4×Dic47C2312yes—
341C2×C4×Dic47C2312yes—
342C2×C4×Dic47C2312yes—
343C2×C4×Dic47C2314yes—
344C2×C4×Dic47C2318yescomplemented
345C42×D47C2314yes—
346C42×D47C2314yes—
347C42×D47C2314yes—
348C42×D47C2314yes—
349C42×D47C2318yescomplemented
350C22×D4×C47C2312yes—
351C23×C4×C47C2311yescharacteristic
352#126×C47C2318yescomplemented
353#126×C47C2318yescomplemented
354#125×C47C2318yescomplemented
355#125×C47C2314yescomplemented
356#124×C47C2314yescomplemented
357#123×C47C2314yes—
358#123×C47C2318yes—
359#123×C47C2314yes—
360#123×C47C2314yes—
361#123×C47C2318yescomplemented
362C22⋊Q8×C47C2318yes—
363C22⋊Q8×C47C2314yes—
364C22⋊Q8×C47C2318yescomplemented
365#121×C47C2314yes—
366#120×C47C2314yes—
367C4×Q8×C47C2314yescomplemented
368C4×D4×C47C2318yes—
369C4×D4×C47C2318yes—
370C4×D4×C47C2314yescomplemented
371#117×C47C2318yes—
372#117×C47C2314yes—
373#117×C47C2318yescomplemented
374C2×C4⋊C4×C47C2312yes—
375C2×C4⋊C4×C47C2314yes—
376C2×C22⋊C4×C47C2311yescharacteristic
377C2×C22⋊C4×C47C2312yes—
378C2×C22⋊C4×C47C2314yes—
379C2×C22⋊C4×C47C2311yescharacteristic
380C2×C22⋊C4×C47C2314yes—
381C2×C42×C47C2312yes—
382C24×C47C2412yes—
383C24×C47C2411yescharacteristic
384C23×D47—24no—
385C23×D47—44no—
386C23×D47C2411yescharacteristic
387C23×D47C2414yes—
388C23×D47C2412yes—
389C23×D47C2411yescharacteristic
390C2×Q8×C47C2414yes—
391C2×D4×C47—28no—
392C2×D4×C47C2414yes—
393C2×D4×C47C2414yes—
394C2×D4×C47C2414yes—
395C22×C4×C47—24no—
396C22×C4×C47C2411yescharacteristic
397C22×C4×C47C2414yes—
398C22×C4×C47C2412yes—
399C22×C4×C47C2411yescharacteristic
400C22×C4×C47C2412yes—
401C22×C4×C47C2412yes—
402C22×C4×C47C2414yes—
403C22×C4×C47C2418yes—
404C2×C22⋊D47—28no—
405C2×C22⋊D47—28no—
406C2×C22⋊D47—48no—
407C2×C22⋊D47C2418yes—
408C2×C22⋊D47C2414yes—
409C2×C22⋊D47C2414yes—
410C2×C22⋊D47C2414yes—
411C2×C22⋊D47C2414yes—
412C2×C22⋊D47C2418yes—
413C2×C22⋊D47C2418yes—
414C22×Dic47—28no—
415C22×Dic47#4118yescomplemented
416C22×Dic47C2414yes—
417C22×Dic47C2412yes—
418C22×Dic47C2414yes—
419C22×Dic47C2412yes—
420C22×Dic47C2412yes—
421C22×Dic47C2414yes—
422C22×Dic47C2418yes—
423C22×Dic47C2411yescharacteristic
424C22×Dic47C2412yes—
425C22×Dic47C2411yescharacteristic
426C22×Dic47C2412yes—
427#10625354—48no—
428#10625352—216no—
429#10625352—216no—
430#10625352—216no—
431#10625352—216no—
432#10625352—48no—
433#10625350—416no—
434C2×D188—48no—
435C2×D188C2418yes—
436C2×D188C2418yes—
437C2×D188C2414yes—
438C2×C4×D47—216no—
439C2×C4×D47—216no—
440C2×C4×D47—24no—
441C2×C4×D47—24no—
442C2×C4×D47—24no—
443C2×C4×D47—24no—
444C2×C4×D47—28no—
445C2×C4×D47—44no—
446C2×C4×D47—44no—
447C2×C4×D47C2412yes—
448C2×C4×D47C2412yes—
449C2×C4×D47C2414yes—
450C2×C4×D47C2414yes—
451C2×C4×D47C2414yes—
452C2×C4×D47C2414yes—
453C2×C4×D47C2414yes—
454C2×C4×D47C2414yes—
455C2×C4×D47C2412yes—
456C2×C4×D47C2412yes—
457C2×C4×D47C2414yes—
458C2×C4×D47C2414yes—
459C2×C4×D47C2418yes—
460C2×C4×D47C2418yes—
461C2×Dic94—28no—
462C2×Dic94C2414yes—
463C2×Dic94C2414yes—
464C2×Dic94C2418yes—
465C2×Dic94C2414yes—
466C4⋊C4×C47C2418yes—
467C4⋊C4×C47C2418yes—
468C4⋊C4×C47C2418yes—
469C4⋊C4×C47C2418yes—
470C4⋊C4×C47C2418yes—
471C4⋊C4×C47C2414yes—
472C4⋊C4×C47C2414yes—
473C22⋊C4×C47C2414yes—
474C22⋊C4×C47C2414yes—
475C22⋊C4×C47C2414yes—
476C22⋊C4×C47C2418yes—
477C22⋊C4×C47C2414yes—
478C22⋊C4×C47C2418yes—
479C22⋊C4×C47C2418yes—
480C22⋊C4×C47C2418yes—
481C42×C47C2414yes—
482C42×C47C2414yes—
483C42×C47C2418yes—
484C22⋊Dic47C2414yes—
485C22⋊Dic47C2414yes—
486C22⋊Dic47C2414yes—
487C22⋊Dic47C2414yes—
488C22⋊Dic47C2418yes—
489C22⋊Dic47C2418yes—
490(C2×D47)⋊C4C2418yes—
491(C2×D47)⋊C4C2418yes—
492(C2×D47)⋊C4C2418yes—
493(C2×D47)⋊C4C2418yes—
494(C2×D47)⋊C4C2418yes—
495(C2×D47)⋊C4C2418yes—
496(C2×D47)⋊C4C2418yes—
497(C2×D47)⋊C4C2418yes—
498(C2×D47)⋊C4C2418yes—
499(C2×D47)⋊C4C2418yes—
500(C2×D47)⋊C4C2418yes—
501(C2×D47)⋊C4C2418yes—
502C4⋊Dic47C2418yes—
503C4⋊Dic47C2418yes—
504C4⋊Dic47C2414yes—
505C4⋊Dic47C2414yes—
506C4⋊Dic47C2418yes—
507Dic47⋊C4C2418yes—
508Dic47⋊C4C2418yes—
509Dic47⋊C4C2418yes—
510Dic47⋊C4C2418yes—
511Dic47⋊C4C2418yes—
512Dic47⋊C4C2418yes—
513Dic47⋊C4C2418yes—
514Dic47⋊C4C2418yes—
515Dic47⋊C4C2418yes—
516Dic47⋊C4C2418yes—
517Dic47⋊C4C2418yes—
518Dic47⋊C4C2418yes—
519C4×Dic47C2414yes—
520C4×Dic47C2414yes—
521C4×Dic47C2414yes—
522C4×Dic47C2414yes—
523C4×Dic47C2414yes—
524C4×Dic47C2414yes—
525C4×Dic47C2418yes—
526C4×Dic47C2418yes—
527C4×Dic47C2418yes—
528C4×Dic47C2418yes—
529C4×Dic47C2418yes—
530C23×C47—24no—
531C23×C47—42no—
532C23×C47—44no—
533C23×C47C2×#4114yes—
534C23×C47C2514yes—
535C23×C47C2512yes—
536C23×C47C2511yescharacteristic
537C22×D47—22no—
538C22×D47—24no—
539C22×D47—28no—
540C22×D47—22no—
541C22×D47—24no—
542C22×D47—28no—
543C22×D47—44no—
544C22×D47—42no—
545C22×D47—44no—
546C22×D47—416no—
547C22×D47C2512yes—
548C22×D47C2514yes—
549C22×D47C2512yes—
550Q8×C47—44no—
551D4×C47—28no—
552D4×C47—28no—
553D4×C47—44no—
554C2×C4×C47—24no—
555C2×C4×C47—28no—
556C2×C4×C47—22no—
557C2×C4×C47—22no—
558C2×C4×C47—42no—
559C2×C4×C47—42no—
560C2×C4×C47—44no—
561C2×C4×C47—48no—
562C2×C4×C47C2512yes—
563C2×C4×C47C2514yes—
564C2×C4×C47C2518yes—
565C2×C4×C47C2514yes—
566C2×C4×C47C2514yes—
567C2×C4×C47C2512yes—
568C22⋊D47—28no—
569C22⋊D47—28no—
570C22⋊D47—216no—
571C22⋊D47—28no—
572C22⋊D47—28no—
573C22⋊D47—48no—
574C22⋊D47—48no—
575C2×Dic47—24no—
576C2×Dic47—28no—
577C2×Dic47—28no—
578C2×Dic47—42no—
579C2×Dic47—42no—
580C2×Dic47—48no—
581C2×Dic47—44no—
582C2×Dic47C2×#4118yes—
583C2×Dic47C2×#4118yes—
584C2×Dic47C2×#4114yes—
585C2×Dic47C2×#4114yes—
586C2×Dic47C2514yes—
587C2×Dic47C2514yes—
588C2×Dic47C2518yes—
589C2×Dic47C2514yes—
590C2×Dic47C2511yescharacteristic
591C2×Dic47C2511yescharacteristic
592C2×Dic47C2512yes—
593D188—216no—
594D188—48no—
595D188—44no—
596C4×D47—28no—
597C4×D47—28no—
598C4×D47—24no—
599C4×D47—24no—
600C4×D47—28no—
601C4×D47—28no—
602C4×D47—24no—
603C4×D47—24no—
604C4×D47—28no—
605C4×D47—28no—
606C4×D47—44no—
607C4×D47—44no—
608C4×D47—48no—
609C4×D47—48no—
610Dic94—28no—
611Dic94—28no—
612Dic94—48no—
613Dic94—44no—
614#62814—471nomaximal, Sylow
615C22×C47—22no—
616C22×C47—24no—
617C22×C47—24no—
618C22×C47—28no—
619C22×C47—44no—
620C22×C47—84no—
621C22×C47C22×#4114yes—
622C22×C47C22×#4112yes—
623C22×C47C2611yescharacteristic
624C2×D47—28no—
625C2×D47—22no—
626C2×D47—22no—
627C2×D47—22no—
628C2×D47—24no—
629C2×D47—28no—
630C2×D47—24no—
631C2×D47—416no—
632C2×D47—44no—
633C2×D47—84no—
634C2×D47#58514yes—
635C4×C47—24no—
636C4×C47—22no—
637C4×C47—22no—
638C4×C47—24no—
639C4×C47—28no—
640C4×C47—24no—
641Dic47—24no—
642Dic47—24no—
643Dic47—28no—
644Dic47—24no—
645Dic47C22×#4112yes—
646Dic47C22×#4114yes—
647Dic47C22×#4112yes—
648#3495—478no—
649#3494—478no—
650#3493—474no—
651#3492—474no—
652#3491—472no—
653#3491—471no—
654#3491D4711yescharacteristic, complemented
655#3490—471no—
656#3490—471no—
657#3490—472no—
658#3475—478no—
659#3475—478no—
660#3458—471no—
661#3455—474no—
662#3449—471no—
663#3444—474no—
664C2×#525—472no—
665#3428—472no—
666C22×#117—471no—
667C2×C47—22no—
668C2×C47—24no—
669C2×C47—44no—
670C2×C47C23×#4111yescharacteristic
671C2×C47C2×#58512yes—
672D47—24no—
673D47—42no—
674D47—44no—
675C22×#41—472no—
676C24×C4—471no—
677#556—478no—
678#556—478no—
679#555—478no—
680#555—478no—
681#554—478no—
682#554—478no—
683#553—478no—
684#553—478no—
685#553—478no—
686#553—478no—
687#552—478no—
688#552—478no—
689#552—478no—
690#552—478no—
691#552—478no—
692#552—478no—
693#552—478no—
694#552C2×D4718yescomplemented
695#551—478no—
696#551—478no—
697#551—478no—
698#551—478no—
699#551—478no—
700#551—478no—
701#551—478no—
702#551C2×D4718yescomplemented
703#547—478no—
704#547—478no—
705#546—478no—
706#546—478no—
707#546—478no—
708#546—478no—
709#544—474no—
710#544—478no—
711#543—472no—
712#543—471no—
713#543C2×D4711yescharacteristic
714#542—478no—
715#542—478no—
716#541—478no—
717#540—478no—
718#539—478no—
719#539—474no—
720#539C2×D4714yescomplemented
721#538—474no—
722#538—474no—
723#538—478no—
724#537—474no—
725#536—474no—
726#535—474no—
727#534—472no—
728#534—471no—
729#534C2×D4711yescharacteristic
730#533—474no—
731#533—474no—
732#533—478no—
733#533—474no—
734#532—474no—
735#532—474no—
736#532—474no—
737#529—478no—
738#529—478no—
739#529—478no—
740#529—474no—
741#529—478no—
742#529—474no—
743#529—478no—
744#529—478no—
745#529—478no—
746#529—478no—
747#529—474no—
748#529C2×D4714yescomplemented
749#525—474no—
750#525—474no—
751#525—478no—
752#525—478no—
753#525—474no—
754#525—474no—
755#525—474no—
756#525—474no—
757#525—474no—
758#525—474no—
759#525—478no—
760C2×#123—472no—
761C2×#123C2×D4712yes—
762C2×C22⋊Q8—474no—
763C2×#121—474no—
764C2×#120—472no—
765C2×#120—472no—
766#520—478no—
767#520—478no—
768#519—474no—
769#518—472no—
770#518—472no—
771#518—472no—
772#518—474no—
773#518C2×D4712yes—
774C4×#41—474no—
775C4×#41—478no—
776C4×#41—478no—
777C4×#41—474no—
778C4×#41—478no—
779C2×C4×D4—474no—
780C2×C4×D4—474no—
781C2×#117—471no—
782C2×#117—478no—
783C2×#117—478no—
784C2×#117—474no—
785C2×#117—472no—
786C2×#117—471no—
787C2×#117—471no—
788C2×#117—472no—
789C2×#117—474no—
790C2×#117—472no—
791C2×#117C2×D4711yescharacteristic
792C22×C4⋊C4—472no—
793C22×C22⋊C4—471no—
794C22×C22⋊C4—471no—
795C22×C42—472no—
796C47#6281411yescharacteristic, complemented, Sylow
797C25—471no—
798C2×#41—474no—
799C2×#41—474no—
800C2×#41—474no—
801C2×#41—474no—
802C2×#41—474no—
803C2×#41—474no—
804C2×#41—478no—
805C2×#41—9416no—
806C22×Q8—472no—
807C22×D4—472no—
808C22×D4—472no—
809C22×D4—474no—
810C22×D4—474no—
811C22×D4C22×D4712yes—
812C23×C4—471no—
813C23×C4—472no—
814C23×C4—471no—
815C23×C4—474no—
816C23×C4—472no—
817C23×C4—474no—
818C23×C4—471no—
819C23×C4—471no—
820C23×C4—471no—
821C23×C4—472no—
822C23×C4—472no—
823C23×C4—948no—
824C23×C4C22×D4711yescharacteristic
825C4⋊Q8—474no—
826C4⋊Q8—478no—
827C4⋊Q8—474no—
828C4⋊Q8—474no—
829C4⋊Q8—478no—
830#127—474no—
831#126—478no—
832#126—478no—
833#126—478no—
834#126—478no—
835#126—478no—
836#126—478no—
837#126—478no—
838#126—478no—
839#126—478no—
840#126—478no—
841#126C22×D4718yescomplemented
842#126C22×D4718yescomplemented
843#125—478no—
844#125—478no—
845#125—478no—
846#125—478no—
847#125—478no—
848#125—478no—
849#125—478no—
850#125—474no—
851#125C22×D4714yescomplemented
852#125C22×D4718yescomplemented
853#124—478no—
854#124—478no—
855#124—478no—
856#124—478no—
857#124—478no—
858#124—474no—
859#124—478no—
860#124C22×D4714yescomplemented
861#123—474no—
862#123—474no—
863#123—474no—
864#123—478no—
865#123—474no—
866#123—478no—
867#123—478no—
868#123—478no—
869#123—478no—
870#123—478no—
871#123—478no—
872#123—478no—
873#123—478no—
874#123—474no—
875#123—478no—
876#123—478no—
877#123—478no—
878#123C22×D4714yes—
879#123C22×D4714yes—
880#123C22×D4718yes—
881#123C22×D4714yes—
882#123C22×D4718yescomplemented
883C22⋊Q8—474no—
884C22⋊Q8—474no—
885C22⋊Q8—478no—
886C22⋊Q8—478no—
887C22⋊Q8—478no—
888C22⋊Q8—478no—
889C22⋊Q8—478no—
890C22⋊Q8—478no—
891C22⋊Q8—474no—
892C22⋊Q8—478no—
893C22⋊Q8—478no—
894C22⋊Q8—478no—
895C22⋊Q8—478no—
896C22⋊Q8—478no—
897C22⋊Q8—478no—
898C22⋊Q8—478no—
899C22⋊Q8—478no—
900C22⋊Q8C22×D4714yes—
901C22⋊Q8C22×D4718yes—
902C22⋊Q8C22×D4718yescomplemented
903#121—478no—
904#121—474no—
905#121—478no—
906#121—478no—
907#121—474no—
908#121—478no—
909#121—474no—
910#121—478no—
911#121—478no—
912#121—478no—
913#121—478no—
914#121—478no—
915#121—478no—
916#121—478no—
917#121—478no—
918#121C22×D4714yes—
919#120—474no—
920#120—474no—
921#120—474no—
922#120—478no—
923#120—474no—
924#120—474no—
925#120—474no—
926#120—478no—
927#120—474no—
928#120C22×D4714yes—
929C4×Q8—474no—
930C4×Q8—478no—
931C4×Q8—478no—
932C4×Q8—474no—
933C4×Q8—478no—
934C4×Q8—478no—
935C4×Q8—478no—
936C4×Q8—478no—
937C4×Q8—474no—
938C4×Q8C22×D4714yescomplemented
939C4×D4—478no—
940C4×D4—478no—
941C4×D4—474no—
942C4×D4—478no—
943C4×D4—478no—
944C4×D4—478no—
945C4×D4—478no—
946C4×D4—478no—
947C4×D4—478no—
948C4×D4—478no—
949C4×D4—478no—
950C4×D4—478no—
951C4×D4—474no—
952C4×D4—478no—
953C4×D4—478no—
954C4×D4—478no—
955C4×D4—478no—
956C4×D4—478no—
957C4×D4—478no—
958C4×D4—478no—
959C4×D4—478no—
960C4×D4—478no—
961C4×D4—478no—
962C4×D4—478no—
963C4×D4—478no—
964C4×D4—478no—
965C4×D4—474no—
966C4×D4C22×D4718yes—
967C4×D4C22×D4718yes—
968C4×D4C22×D4714yescomplemented
969#117—478no—
970#117—474no—
971#117—478no—
972#117—478no—
973#117—478no—
974#117—474no—
975#117—474no—
976#117—478no—
977#117—474no—
978#117—474no—
979#117—474no—
980#117—474no—
981#117—474no—
982#117—474no—
983#117—478no—
984#117—474no—
985#117—474no—
986#117—474no—
987#117—474no—
988#117—478no—
989#117—478no—
990#117—478no—
991#117—478no—
992#117—478no—
993#117—478no—
994#117—478no—
995#117C22×D4718yes—
996#117C22×D4714yes—
997#117C22×D4718yescomplemented
998C2×C4⋊C4—472no—
999C2×C4⋊C4—472no—
1000C2×C4⋊C4—472no—
1001C2×C4⋊C4—474no—
1002C2×C4⋊C4—478no—
1003C2×C4⋊C4—474no—
1004C2×C4⋊C4—478no—
1005C2×C4⋊C4—478no—
1006C2×C4⋊C4—478no—
1007C2×C4⋊C4C22×D4712yes—
1008C2×C4⋊C4C22×D4714yes—
1009C2×C22⋊C4—471no—
1010C2×C22⋊C4—471no—
1011C2×C22⋊C4—472no—
1012C2×C22⋊C4—474no—
1013C2×C22⋊C4—472no—
1014C2×C22⋊C4—472no—
1015C2×C22⋊C4—474no—
1016C2×C22⋊C4—474no—
1017C2×C22⋊C4—474no—
1018C2×C22⋊C4—478no—
1019C2×C22⋊C4—478no—
1020C2×C22⋊C4—474no—
1021C2×C22⋊C4—474no—
1022C2×C22⋊C4C22×D4711yescharacteristic
1023C2×C22⋊C4C22×D4711yescharacteristic
1024C2×C22⋊C4C22×D4712yes—
1025C2×C22⋊C4C22×D4714yes—
1026C2×C22⋊C4C22×D4714yes—
1027C2×C42—472no—
1028C2×C42—472no—
1029C2×C42—472no—
1030C2×C42—474no—
1031C2×C42—478no—
1032C2×C42—474no—
1033C2×C42—474no—
1034C2×C42—474no—
1035C2×C42—474no—
1036C2×C42—478no—
1037C2×C42C22×D4712yes—
1038C24—471no—
1039C24—474no—
1040C24—472no—
1041C24—471no—
1042C24—944no—
1043C24—1884no—
1044C24C23×D4712yes—
1045C24C23×D4711yescharacteristic
1046#41—9416no—
1047#41—9416no—
1048#41—9416no—
1049#41—9416no—
1050#41—18816no—
1051#41—1888no—
1052#41—1888no—
1053C2×Q8—474no—
1054C2×Q8—474no—
1055C2×Q8—478no—
1056C2×Q8—474no—
1057C2×Q8—948no—
1058C2×Q8C23×D4714yes—
1059C2×D4—28no—
1060C2×D4—474no—
1061C2×D4—478no—
1062C2×D4—474no—
1063C2×D4—474no—
1064C2×D4—474no—
1065C2×D4—478no—
1066C2×D4—478no—
1067C2×D4—478no—
1068C2×D4—478no—
1069C2×D4—474no—
1070C2×D4—948no—
1071C2×D4—948no—
1072C2×D4—1888no—
1073C2×D4—1888no—
1074C2×D4C23×D4714yes—
1075C2×D4C23×D4714yes—
1076C2×D4C23×D4714yes—
1077C22×C4—24no—
1078C22×C4—478no—
1079C22×C4—471no—
1080C22×C4—472no—
1081C22×C4—471no—
1082C22×C4—472no—
1083C22×C4—474no—
1084C22×C4—472no—
1085C22×C4—474no—
1086C22×C4—472no—
1087C22×C4—472no—
1088C22×C4—474no—
1089C22×C4—478no—
1090C22×C4—472no—
1091C22×C4—472no—
1092C22×C4—474no—
1093C22×C4—474no—
1094C22×C4—474no—
1095C22×C4—474no—
1096C22×C4—474no—
1097C22×C4—472no—
1098C22×C4—474no—
1099C22×C4—472no—
1100C22×C4—474no—
1101C22×C4—474no—
1102C22×C4—478no—
1103C22×C4—478no—
1104C22×C4—9416no—
1105C22×C4—9416no—
1106C22×C4—944no—
1107C22×C4—944no—
1108C22×C4—944no—
1109C22×C4—944no—
1110C22×C4—948no—
1111C22×C4—948no—
1112C22×C4—1884no—
1113C22×C4—1884no—
1114C22×C4C23×D4711yescharacteristic
1115C22×C4C23×D4712yes—
1116C22×C4C23×D4714yes—
1117C22×C4C23×D4711yescharacteristic
1118C22×C4C23×D4712yes—
1119C22×C4C23×D4712yes—
1120C22×C4C23×D4714yes—
1121C22×C4C23×D4718yes—
1122C4⋊C4—478no—
1123C4⋊C4—478no—
1124C4⋊C4—478no—
1125C4⋊C4—478no—
1126C4⋊C4—478no—
1127C4⋊C4—478no—
1128C4⋊C4—478no—
1129C4⋊C4—478no—
1130C4⋊C4—478no—
1131C4⋊C4—478no—
1132C4⋊C4—478no—
1133C4⋊C4—478no—
1134C4⋊C4—478no—
1135C4⋊C4—478no—
1136C4⋊C4—478no—
1137C4⋊C4—474no—
1138C4⋊C4—474no—
1139C4⋊C4C23×D4718yes—
1140C4⋊C4C23×D4718yes—
1141C4⋊C4C23×D4718yes—
1142C4⋊C4C23×D4718yes—
1143C4⋊C4C23×D4714yes—
1144C4⋊C4C23×D4714yes—
1145C4⋊C4C23×D4718yes—
1146C22⋊C4—474no—
1147C22⋊C4—474no—
1148C22⋊C4—474no—
1149C22⋊C4—474no—
1150C22⋊C4—478no—
1151C22⋊C4—478no—
1152C22⋊C4—478no—
1153C22⋊C4—478no—
1154C22⋊C4—478no—
1155C22⋊C4—478no—
1156C22⋊C4—478no—
1157C22⋊C4—478no—
1158C22⋊C4—478no—
1159C22⋊C4—478no—
1160C22⋊C4—478no—
1161C22⋊C4—478no—
1162C22⋊C4—478no—
1163C22⋊C4—478no—
1164C22⋊C4C23×D4714yes—
1165C22⋊C4C23×D4714yes—
1166C22⋊C4C23×D4714yes—
1167C22⋊C4C23×D4714yes—
1168C22⋊C4C23×D4718yes—
1169C22⋊C4C23×D4718yes—
1170C22⋊C4C23×D4718yes—
1171C22⋊C4C23×D4718yes—
1172C42—474no—
1173C42—474no—
1174C42—478no—
1175C42—474no—
1176C42—474no—
1177C42—474no—
1178C42—474no—
1179C42—478no—
1180C42—478no—
1181C42—478no—
1182C42—478no—
1183C42C23×D4714yes—
1184C42C23×D4714yes—
1185C42C23×D4718yes—
1186C23—24no—
1187C23—42no—
1188C23—44no—
1189C23—472no—
1190C23—472no—
1191C23—474no—
1192C23—944no—
1193C23—948no—
1194C23—942no—
1195C23—944no—
1196C23—948no—
1197C23—942no—
1198C23—1884no—
1199C23—1882no—
1200C23—1884no—
1201C23—18816no—
1202C23#41×D4714yes—
1203C23C24×D4714yes—
1204C23C24×D4712yes—
1205C23C24×D4711yescharacteristic
1206Q8—44no—
1207Q8—948no—
1208Q8—948no—
1209Q8—1888no—
1210Q8—1884no—
1211D4—28no—
1212D4—28no—
1213D4—44no—
1214D4—9416no—
1215D4—948no—
1216D4—948no—
1217D4—9416no—
1218D4—948no—
1219D4—948no—
1220D4—1888no—
1221D4—1884no—
1222D4—1888no—
1223D4—1888no—
1224C2×C4—28no—
1225C2×C4—22no—
1226C2×C4—22no—
1227C2×C4—24no—
1228C2×C4—42no—
1229C2×C4—42no—
1230C2×C4—44no—
1231C2×C4—48no—
1232C2×C4—478no—
1233C2×C4—478no—
1234C2×C4—474no—
1235C2×C4—474no—
1236C2×C4—471no—
1237C2×C4—471no—
1238C2×C4—472no—
1239C2×C4—474no—
1240C2×C4—474no—
1241C2×C4—474no—
1242C2×C4—478no—
1243C2×C4—944no—
1244C2×C4—944no—
1245C2×C4—948no—
1246C2×C4—948no—
1247C2×C4—944no—
1248C2×C4—944no—
1249C2×C4—948no—
1250C2×C4—948no—
1251C2×C4—948no—
1252C2×C4—948no—
1253C2×C4—948no—
1254C2×C4—948no—
1255C2×C4—944no—
1256C2×C4—1884no—
1257C2×C4—1884no—
1258C2×C4—1888no—
1259C2×C4—1888no—
1260C2×C4—1882no—
1261C2×C4—1882no—
1262C2×C4—1884no—
1263C2×C4—1888no—
1264C2×C4C24×D4712yes—
1265C2×C4C24×D4714yes—
1266C2×C4C24×D4718yes—
1267C2×C4C24×D4714yes—
1268C2×C4C24×D4714yes—
1269C2×C4C24×D4712yes—
1270C22—22no—
1271C22—24no—
1272C22—24no—
1273C22—28no—
1274C22—44no—
1275C22—84no—
1276C22—474no—
1277C22—948no—
1278C22—942no—
1279C22—942no—
1280C22—942no—
1281C22—944no—
1282C22—948no—
1283C22—944no—
1284C22—3764no—
1285C22—18816no—
1286C22—1884no—
1287C22C2×#41×D4714yes—
1288C22C2×#41×D4712yes—
1289C22C25×D4711yescharacteristic
1290C4—22no—
1291C4—22no—
1292C4—24no—
1293C4—24no—
1294C4—28no—
1295C4—24no—
1296C4—472no—
1297C4—474no—
1298C4—472no—
1299C4—944no—
1300C4—944no—
1301C4—944no—
1302C4—948no—
1303C2—24no—
1304C2—22no—
1305C2—44no—
1306C2—944no—
1307C2—1884no—
1308C2—1882no—
1309C2C22×#41×D4711yescharacteristic
1310C2#585×D4712yes—
subgroupG/H
center, FrattiniC22C25×D47
commutator, socle, cosocleC22×C47C26
FittingC47×#3491C2
hypercenter#3491D47
hypocenterC47#62814
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C22 ◁ #3491

Complements

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

NH ≅ G/Ntype
1. #20257131C2semidirect
2. #20257114C2semidirect
3. #20257100C2semidirect
4. #20257093C2semidirect
5. #20257086C2semidirect
6. #20257084C2semidirect
7. #20257078C2semidirect
8. #20257076C2semidirect
9. #20257073C2semidirect
10. #20256953C2semidirect
11. #20256943C2semidirect
12. #20256790C2semidirect
13. #20256774C2semidirect
14. #20256714C2semidirect
15. #20256682C2semidirect
16. C2×#15689631C2semidirect
17. #20256586C2semidirect
18. C2×#117×D47C2semidirect
19. C47×#3491C2semidirect
22. #15689845C22semidirect
23. #15689840C22semidirect
24. #15689836C22semidirect
25. #15689835C22semidirect
26. #15689829C22semidirect
27. #15689827C22semidirect
28. #15689824C22semidirect
29. #15689824C22semidirect
30. #15689822C22semidirect
31. #15689818C22semidirect
32. #15689810C22semidirect
33. #15689809C22semidirect
34. #15689808C22semidirect
35. #15689806C22semidirect
36. #15689806C22semidirect
37. #15689805C22semidirect
38. #15689805C22semidirect
39. #15689802C22semidirect
40. #15689800C22semidirect
41. #15689799C22semidirect
42. #15689797C22semidirect
43. #15689797C22semidirect
44. #15689796C22semidirect
45. #15689796C22semidirect
46. #15689775C22semidirect
47. #15689771C22semidirect
48. #15689769C22semidirect
49. #15689764C22semidirect
50. #15689763C22semidirect
51. #15689760C22semidirect
52. #15689752C22semidirect
53. #15689752C22semidirect
56. #15689743C22semidirect
57. #15689739C22semidirect
58. #15689732C22semidirect
59. #15689725C22semidirect
60. #15689720C22semidirect
61. #15689717C22semidirect
62. #15689713C22semidirect
63. #15689710C22semidirect
64. #15689706C22semidirect
65. #15689700C22semidirect
66. #15689695C22semidirect
67. #15689688C22semidirect
70. #15689679C22semidirect
71. #15689677C22semidirect
72. #15689675C22semidirect
73. #15689675C22semidirect
74. #15689672C22semidirect
75. #15689670C22semidirect
76. #15689668C22semidirect
77. #15689659C22semidirect
78. #15689658C22semidirect
79. #15689658C22semidirect
80. #15689657C22semidirect
81. #15689656C22semidirect
82. #15689656C22semidirect
83. #15689656C22semidirect
84. #15689652C22semidirect
85. #15689651C22semidirect
86. #15689650C22semidirect
87. #15689650C22semidirect
88. #15689636C22semidirect
89. #15689633C22semidirect
90. #15689632C22semidirect
93. #15689631C22semidirect
94. #15689631C22semidirect
95. #15689631C22semidirect
96. #15689631C22semidirect
97. #15689631C22semidirect
98. #15689629C22semidirect
100. C2×#13094002C22semidirect
101. C2×#13093997C22semidirect
104. #15689602C22semidirect
105. #15689602C22semidirect
106. #15689600C22semidirect
110. #15689596C22semidirect
111. C4×#10625354C22semidirect
112. #15689591C22semidirect
113. C4×#10625352C22semidirect
114. C4×#10625352C22semidirect
115. C4×#10625352C22semidirect
116. C2×#13093986C22semidirect
117. C2×(C22⋊D47)⋊C4C22semidirect
119. C2×#13093982C22semidirect
120. C2×#13093981C22semidirect
124. C2×#13093980C22semidirect
125. #117×D47C22semidirect
126. #117×D47C22semidirect
127. #117×D47C22semidirect
128. C2×C4⋊C4×D47C22semidirect
131. C2×C42×D47C22semidirect
132. C47×#552C22semidirect
133. C47×#551C22semidirect
135. C47×#539C22semidirect
137. C47×#529C22semidirect
167. #13094023C23semidirect
168. #13094023C23semidirect
169. #13094023C23semidirect
170. #13094022C23semidirect
171. #13094022C23semidirect
172. #13094020C23semidirect
176. #13094019C23semidirect
177. #13094019C23semidirect
178. #13094019C23semidirect
180. #13094018C23semidirect
181. #13094017C23semidirect
182. #13094017C23semidirect
183. #13094016C23semidirect
184. #13094015C23semidirect
185. #13094014C23semidirect
186. #13094014C23semidirect
187. #13094014C23semidirect
188. #13094014C23semidirect
189. #13094014C23semidirect
190. #13094014C23semidirect
193. #13094012C23semidirect
196. #13094010C23semidirect
197. #13094010C23semidirect
202. #13094009C23semidirect
205. #13094008C23semidirect
213. #13094006C23semidirect
216. #13094004C23semidirect
224. #13094002C23semidirect
225. #13094002C23semidirect
229. #13094001C23semidirect
230. #13094001C23semidirect
242. #13093997C23semidirect
245. #13093996C23semidirect
256. Q8×Dic47C23semidirect
257. C4×Dic94C23semidirect
258. C4×Dic94C23semidirect
259. C4×Dic94C23semidirect
260. #13093989C23semidirect
261. #13093989C23semidirect
262. #13093989C23semidirect
263. #13093989C23semidirect
264. #13093989C23semidirect
266. C4×D188C23semidirect
269. D4×Dic47C23semidirect
275. #13093986C23semidirect
279. C4×C22⋊D47C23semidirect
280. C4×C22⋊D47C23semidirect
288. (C22⋊D47)⋊C4C23semidirect
289. (C22⋊D47)⋊C4C23semidirect
290. (C22⋊D47)⋊C4C23semidirect
291. (C22⋊D47)⋊C4C23semidirect
298. #13093982C23semidirect
299. #13093982C23semidirect
303. #13093981C23semidirect
304. #13093981C23semidirect
315. #13093980C23semidirect
316. #13093980C23semidirect
317. #13093980C23semidirect
323. C2×Dic47⋊C4C23semidirect
326. C4⋊C4×D47C23semidirect
344. C2×C4×Dic47C23semidirect
349. C42×D47C23semidirect
352. #126×C47C23semidirect
353. #126×C47C23semidirect
354. #125×C47C23semidirect
355. #125×C47C23semidirect
356. #124×C47C23semidirect
361. #123×C47C23semidirect
364. C22⋊Q8×C47C23semidirect
367. C4×Q8×C47C23semidirect
370. C4×D4×C47C23semidirect
373. #117×C47C23semidirect
415. C22×Dic47#41semidirect
654. #3491D47semidirect
694. #552C2×D47semidirect
702. #551C2×D47semidirect
720. #539C2×D47semidirect
748. #529C2×D47semidirect
796. C47#62814semidirect
841. #126C22×D47semidirect
842. #126C22×D47semidirect
851. #125C22×D47semidirect
852. #125C22×D47semidirect
860. #124C22×D47semidirect
882. #123C22×D47semidirect
902. C22⋊Q8C22×D47semidirect
938. C4×Q8C22×D47semidirect
968. C4×D4C22×D47semidirect
997. #117C22×D47semidirect

Maximal subgroups

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

subgroupindex
#202571312
#202571142
#202571002
#202570932
#202570862
#202570842
#202570782
#202570762
#202570732
#202569532
#202569432
#202567902
#202567742
#202567142
#202566822
C2×#156896312
#202565862
C2×#117×D472
C47×#34912
#6281447