Finite Group Databasebeta

← #27124795

Subgroups — #27124795

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#20257490C212yesmaximal, complemented
2#20257445C216yesmaximal, complemented
3#20257374C212yesmaximal, complemented
4#20257317C216yesmaximal, complemented
5#20257308C213yesmaximal, complemented
6#20257282C213yesmaximal, complemented
7#20257214C211yesmaximal, characteristic, complemented
8#20257137C213yesmaximal, complemented
9#20257120C213yesmaximal, complemented
10#20257061C211yesmaximal, characteristic, complemented
11#20257050C211yesmaximal, characteristic, complemented
12#20257004C212yesmaximal, complemented
13#20256993C216yesmaximal, complemented
14#20256978C212yesmaximal, complemented
15#20256939C216yesmaximal, complemented
16#20256812C213yesmaximal, complemented
17#20256801C213yesmaximal, complemented
18#20256683C213yesmaximal, complemented
19C2×#15689652C213yesmaximal, complemented
202−1+4×Dic47C211yesmaximal, characteristic, complemented
21H(5,𝔽2)×Dic47C211yesmaximal, characteristic, complemented
22C4×#41×D47C211yesmaximal, characteristic, complemented
23C47×#3500C211yesmaximal, characteristic, complemented
24C2×#41×D47C2211yescharacteristic
25#15689855C2216yescomplemented
26#15689855C2216yescomplemented
27#15689849C2212yescomplemented
28#15689849C2212yescomplemented
29#15689844C2216yescomplemented
30#15689842C2216yescomplemented
31#15689842C2216yescomplemented
32#15689837C2216yescomplemented
33#15689832C2216yescomplemented
34#15689832C2216yescomplemented
35#15689831C2216yescomplemented
36#15689825C2216yescomplemented
37#15689820C2216yescomplemented
38#15689819C2216yescomplemented
39#15689819C2216yescomplemented
40#15689816C22112yescomplemented
41#15689816C22112yescomplemented
42#15689815C2216yescomplemented
43#15689813C2216yescomplemented
44#15689813C2216yescomplemented
45#15689810C22112yescomplemented
46#15689807C2216yescomplemented
47#15689804C22112yescomplemented
48#15689799C22112yescomplemented
49#15689799C22112yescomplemented
50#15689796C22112yescomplemented
51#15689792C2212yes—
52Q8×C22⋊D47C2212yescomplemented
53#15689784C2212yescomplemented
54#15689780C2212yes—
55#15689773C2216yescomplemented
56#15689772C2216yescomplemented
57#15689767C2216yes—
58#15689761C2216yescomplemented
59#15689760C22112yescomplemented
60D4×C22⋊D47C2216yes—
61#15689751C2213yescomplemented
62#15689751C2213yescomplemented
63#15689746C2216yescomplemented
64#15689742C2216yescomplemented
65#15689742C2216yescomplemented
66#15689740C2216yescomplemented
67#15689734C2216yescomplemented
68#15689733C2216yescomplemented
69#15689727C2216yescomplemented
70#15689726C2216yescomplemented
71#15689717C22112yescomplemented
72#15689708C22112yescomplemented
73#15689701C2213yes—
74#15689701C2213yescomplemented
75#15689697C2213yescomplemented
76#15689690C2213yes—
77#15689680C2213yescomplemented
78#15689678C2213yescomplemented
79#15689678C2213yescomplemented
80#15689675C2216yescomplemented
81#15689671C2213yescomplemented
82#15689671C2213yescomplemented
83#15689668C2216yescomplemented
84#15689659C2216yescomplemented
85#15689655C2216yescomplemented
86#15689655C2216yescomplemented
87#15689654C2216yescomplemented
88#15689654C2216yescomplemented
89#15689654C2216yescomplemented
90#15689652C2213yescomplemented
91#15689652C2216yescomplemented
92#15689652C2213yescomplemented
93#15689652C2216yescomplemented
94#15689652C2216yescomplemented
95#15689652C2216yescomplemented
96#15689652C2213yescomplemented
97#15689652C2216yescomplemented
98#15689652C2216yescomplemented
99#15689652C2216yescomplemented
100#15689652C2211yescharacteristic, complemented
101#15689650C22112yescomplemented
102C2×#13094017C2216yescomplemented
103C2×#13094016C2213yescomplemented
104#15689633C2216yescomplemented
105#15689633C2216yescomplemented
106#15689630C2213yes—
107#15689630C2213yescomplemented
108#15689629C22112yescomplemented
109C2×#13094006C2216yescomplemented
110C2×#13094000C2213yescomplemented
111C2×#13093995C2213yes—
112#15689606C2211yescharacteristic
113#15689606C2211yescharacteristic
114#15689606C2213yescomplemented
115#15689606C2213yescomplemented
116#15689606C2216yescomplemented
117#15689606C2212yescomplemented
118#15689601C2213yescomplemented
119#15689601C2212yescomplemented
120#15689598C2213yescomplemented
121#15689598C2216yescomplemented
122#41×Dic47C2211yescharacteristic
123#41×Dic47C2213yescomplemented
124#41×Dic47C2213yescomplemented
125#41×Dic47C2212yescomplemented
126#41×Dic47C2216yescomplemented
127C4×#10625354C2211yescharacteristic, complemented
128C4×#10625354C2211yescharacteristic, complemented
129C4×#10625350C2213yescomplemented
130#15689591C2213yescomplemented
131C4×#10625352C2213yescomplemented
132C4×#10625352C2213yescomplemented
133C4×#10625352C2216yescomplemented
134C4×#10625352C2216yescomplemented
135C2×Q8×Dic47C2213yescomplemented
136C2×Q8×Dic47C2212yescomplemented
137C4×Q8×D47C2211yescharacteristic, complemented
138C4×Q8×D47C2211yescharacteristic, complemented
139C2×D4×Dic47C2213yescomplemented
140C2×D4×Dic47C2216yescomplemented
141C2×(C22⋊D47)⋊C4C2216yescomplemented
142C4×D4×D47C2213yescomplemented
143C4×D4×D47C2213yescomplemented
144C2×#13093980C2216yescomplemented
145#117×D47C2213yescomplemented
146C2×C42×D47C2213yescomplemented
147C2×2−1+4×C47C2211yescharacteristic
148C2×H(5,𝔽2)×C47C2211yescharacteristic
149C47×#548C2212yescomplemented
150C47×#548C2212yescomplemented
151C47×#546C2216yescomplemented
152C47×#546C2216yescomplemented
153C47×#536C2213yescomplemented
154C47×#535C2213yescomplemented
155C47×#532C2213yescomplemented
156C2×#124×C47C2213yescomplemented
157C4×#41×C47C2211yescharacteristic
158C2×#10625354C2311yescharacteristic
159C2×#10625350C2313yes—
160C2×#10625352C2313yes—
161C2×#10625352C2316yes—
162C2×#10625352C2316yes—
163#41×D47—28no—
164C2×Q8×D47C2311yescharacteristic
165C22×C22⋊D47C2316yes—
166C2×D4×D47C2313yes—
167C23×Dic47C2316yes—
168C22×C4×D47C2313yes—
169C22×C4×D47C2313yes—
170C22×C4×D47C2313yes—
171#13094024C2313yes—
172#13094024C2313yes—
173#13094023C2316yes—
174#13094023C2316yes—
175#13094022C2316yes—
176#13094020C2316yes—
177#13094019C23112yes—
178#13094019C23112yes—
179#13094017C23112yes—
180#13094017C23112yes—
181#13094017C23112yes—
182#13094017C2316yes—
183#13094017C23112yes—
184#13094017C23112yes—
185#13094017C2316yes—
186#13094017C2316yes—
187#13094017C2312yes—
188#13094016C2316yes—
189#13094016C2316yes—
190#13094016C2316yes—
191#13094016C2313yes—
192#13094016C2311yescharacteristic
193#13094015C2316yes—
194#13094015C2316yes—
195#13094015C2316yes—
196#13094015C2316yes—
197#13094014C23112yes—
198#13094014C23112yes—
199#13094013C2316yes—
200#13094011C2316yes—
201#13094011C2316yes—
202#13094011C2316yes—
203#13094010C23112yes—
204#13094010C23112yes—
205#13094008C23112yes—
206#13094008C23112yes—
207#13094007C23112yes—
208#13094006C23112yes—
209#13094006C23112yes—
210#13094006C2316yes—
211#13094006C23112yes—
212#13094006C2316yes—
213#13094006C2316yes—
214#13094006C2312yes—
215#13094005C23112yes—
216#13094005C2316yes—
217#13094005C2316yes—
218#13094005C23112yes—
219#13094004C2316yes—
220#13094004C2316yes—
221#13094003C2316yes—
222#13094003C2316yes—
223#13094003C2316yes—
224#13094003C2316yes—
225#13094001C23112yes—
226#13094001C23112yes—
227#13094001C23112yes—
228#13094001C23112yes—
229#13094000C2313yes—
230#13094000C2316yes—
231#13094000C2313yes—
232#13094000C2316yes—
233#13094000C2316yes—
234#13094000C2313yes—
235#13094000C2311yescharacteristic
236#13093998C2316yes—
237#13093998C2316yes—
238#13093996C23112yes—
239#13093996C23112yes—
240#13093996C23112yes—
241#13093996C23112yes—
242#13093995C2313yes—
243#13093995C2316yes—
244#13093995C2316yes—
245#13093995C2316yes—
246#13093995C2316yes—
247#13093995C2313yes—
248#13093995C2311yescharacteristic
249#13093995C2313yes—
250#13093995C2316yes—
251#13093993C23112yes—
252#13093992C2316yes—
253#13093992C2316yes—
254Q8×Dic47C2316yes—
255Q8×Dic47C2313yes—
256Q8×Dic47C2316yes—
257Q8×Dic47C2313yes—
258Q8×Dic47C2312yes—
259Q8×Dic47C2312yes—
260Q8×Dic47C2316yes—
261Q8×Dic47C2316yes—
262Q8×Dic47C2311yescharacteristic
263Q8×Dic47C2311yescharacteristic
264Q8×Dic47C2313yes—
265Q8×Dic47C2316yes—
266Q8×Dic47C2311yescharacteristic
267C4×Dic94C2313yes—
268C4×Dic94C2313yes—
269C4×Dic94C2316yes—
270C4×Dic94C2316yes—
271#13093989C2313yes—
272#13093989C2316yes—
273#13093989C2313yes—
274#13093989C2316yes—
275C4×D188C2313yes—
276C4×D188C2313yes—
277D4×Dic47C2316yes—
278D4×Dic47C2313yes—
279D4×Dic47C2316yes—
280D4×Dic47C2316yes—
281D4×Dic47C23112yes—
282D4×Dic47C2316yes—
283D4×Dic47C2316yes—
284D4×Dic47C23112yes—
285D4×Dic47C2316yes—
286D4×Dic47C2316yes—
287D4×Dic47C2313yes—
288D4×Dic47C2313yes—
289D4×Dic47C2316yes—
290D4×Dic47C2313yes—
291D4×Dic47C2316yes—
292D4×Dic47C2316yes—
293D4×Dic47C2316yes—
294D4×Dic47C2311yescharacteristic
295D4×Dic47C2316yes—
296D4×Dic47C2316yes—
297D4×Dic47C2313yes—
298#13093986C2313yes—
299#13093986C2313yes—
300C4×C22⋊D47C2316yes—
301C4×C22⋊D47C2316yes—
302C4×C22⋊D47C2316yes—
303C4×C22⋊D47C2316yes—
304C4×C22⋊D47C2316yes—
305C4×C22⋊D47C2316yes—
306(C22⋊D47)⋊C4C23112yes—
307(C22⋊D47)⋊C4C2316yes—
308(C22⋊D47)⋊C4C23112yes—
309(C22⋊D47)⋊C4C2316yes—
310(C22⋊D47)⋊C4C2316yes—
311(C22⋊D47)⋊C4C2316yes—
312(C22⋊D47)⋊C4C2316yes—
313(C22⋊D47)⋊C4C23112yes—
314(C22⋊D47)⋊C4C2312yes—
315#13093983C2316yes—
316#13093983C2316yes—
317#13093983C2313yes—
318#13093983C2313yes—
319#13093983C23112yes—
320#13093983C2316yes—
321#13093983C2316yes—
322#13093983C2313yes—
323#13093982C2316yes—
324#13093982C2313yes—
325#13093982C2313yes—
326#13093982C2316yes—
327#13093981C2316yes—
328#13093980C2316yes—
329#13093980C23112yes—
330#13093980C2316yes—
331#13093980C23112yes—
332#13093980C2316yes—
333#13093980C2316yes—
334#13093980C23112yes—
335#13093980C2312yes—
336C2×C4⋊Dic47C2313yes—
337C2×C4⋊Dic47C2313yes—
338C2×C4⋊Dic47C2316yes—
339C2×C4⋊Dic47C2316yes—
340C2×C4⋊Dic47C2316yes—
341C2×Dic47⋊C4C2316yes—
342C2×Dic47⋊C4C2316yes—
343C2×Dic47⋊C4C2316yes—
344C4⋊C4×D47C2313yes—
345C4⋊C4×D47C2313yes—
346C2×C22⋊Dic47C23112yes—
347C2×C22⋊Dic47C2316yes—
348C2×C22⋊Dic47C2316yes—
349C2×(C2×D47)⋊C4C2316yes—
350C22⋊C4×D47C2316yes—
351C2×C4×Dic47C2313yes—
352C2×C4×Dic47C2313yes—
353C2×C4×Dic47C2313yes—
354C2×C4×Dic47C2316yes—
355C2×C4×Dic47C2316yes—
356C2×C4×Dic47C2316yes—
357C42×D47C2311yescharacteristic
358C42×D47C2313yes—
359C42×D47C2313yes—
360C42×D47C2313yes—
361C42×D47C2313yes—
362C42×D47C2313yes—
363C42×D47C2313yes—
364C42×D47C2313yes—
3652−1+4×C47—28no—
366H(5,𝔽2)×C47—28no—
367C2×#41×C47C2316yes—
368C2×#41×C47C2312yes—
369C2×#41×C47C2313yes—
370C2×#41×C47C2313yes—
371C2×#41×C47C2311yescharacteristic
372C22×Q8×C47C2312yes—
373C22×Q8×C47C2313yes—
374C22×D4×C47C2316yes—
375C22×D4×C47C2313yes—
376C4⋊Q8×C47C2313yes—
377#127×C47C2313yes—
378#124×C47C2316yes—
379#124×C47C2313yes—
380#124×C47C2316yes—
381#124×C47C2316yes—
382#124×C47C2311yescharacteristic
383#123×C47C23112yes—
384C22⋊Q8×C47C2316yes—
385C22⋊Q8×C47C2316yes—
386#121×C47C2316yes—
387#121×C47C2316yes—
388#121×C47C2316yes—
389#121×C47C2316yes—
390#120×C47C23112yes—
391C4×Q8×C47C2311yescharacteristic
392C4×Q8×C47C2311yescharacteristic
393C4×D4×C47C2313yes—
394C4×D4×C47C2313yes—
395C4×D4×C47C2316yes—
396C4×D4×C47C2316yes—
397#117×C47C2313yes—
398C2×C22⋊C4×C47C2316yes—
399C2×C22⋊C4×C47C2316yes—
400C2×C42×C47C2313yes—
401C24×C47C2416yes—
402C23×D47C2413yes—
403#41×C47—28no—
404#41×C47—224no—
405#41×C47—212no—
406#41×C47—212no—
407#41×C47#4118yescomplemented
408C2×Q8×C47—28no—
409C2×Q8×C47—212no—
410C2×Q8×C47C2416yes—
411C2×Q8×C47C2413yes—
412C2×Q8×C47C2411yescharacteristic
413C2×Q8×C47C2411yescharacteristic
414C2×D4×C47—224no—
415C2×D4×C47—212no—
416C2×D4×C47C2416yes—
417C2×D4×C47C2416yes—
418C2×D4×C47C2416yes—
419C2×D4×C47C2413yes—
420C2×D4×C47C2411yescharacteristic
421C2×D4×C47C2416yes—
422C2×D4×C47C2416yes—
423C2×D4×C47C2413yes—
424C22×C4×C47C2416yes—
425C22×C4×C47C2416yes—
426C22×C4×C47C2416yes—
427C22×C4×C47C2413yes—
428C22×C4×C47C2413yes—
429C22×C4×C47C2413yes—
430C2×C22⋊D47—412no—
431C2×C22⋊D47C2416yes—
432C2×C22⋊D47C2416yes—
433C2×C22⋊D47C2412yes—
434C2×C22⋊D47C24112yes—
435C2×C22⋊D47C2416yes—
436C2×C22⋊D47C2416yes—
437C22×Dic47—412no—
438C22×Dic47C2413yes—
439C22×Dic47C2412yes—
440C22×Dic47C2413yes—
441C22×Dic47C2416yes—
442C22×Dic47C2413yes—
443C22×Dic47C2416yes—
444C22×Dic47C2416yes—
445C22×Dic47C2416yes—
446C22×Dic47C2416yes—
447C22×Dic47C24112yes—
448#10625354—24no—
449Q8×D47—24no—
450#10625352—212no—
451#10625352—412no—
452#10625352—412no—
453D4×D47—212no—
454#10625350—212no—
455C2×D188C2413yes—
456C2×C4×D47—212no—
457C2×C4×D47—46no—
458C2×C4×D47—46no—
459C2×C4×D47C2411yescharacteristic
460C2×C4×D47C2411yescharacteristic
461C2×C4×D47C2411yescharacteristic
462C2×C4×D47C2413yes—
463C2×C4×D47C2413yes—
464C2×C4×D47C2413yes—
465C2×C4×D47C2413yes—
466C2×C4×D47C2413yes—
467C2×C4×D47C2413yes—
468C2×C4×D47C2413yes—
469C2×C4×D47C2413yes—
470C2×C4×D47C2413yes—
471C2×Dic94C2413yes—
472C2×Dic94C2416yes—
473C2×Dic94C2416yes—
474C4⋊C4×C47C2413yes—
475C4⋊C4×C47C2413yes—
476C4⋊C4×C47C2416yes—
477C4⋊C4×C47C2416yes—
478C22⋊C4×C47C2416yes—
479C22⋊C4×C47C2416yes—
480C22⋊C4×C47C24112yes—
481C22⋊C4×C47C24112yes—
482C22⋊C4×C47C2416yes—
483C22⋊C4×C47C2412yes—
484C22⋊C4×C47C2412yes—
485C42×C47C2411yescharacteristic
486C42×C47C2413yes—
487C42×C47C2413yes—
488C42×C47C2413yes—
489C22⋊Dic47C2416yes—
490C22⋊Dic47C2416yes—
491C22⋊Dic47C2416yes—
492C22⋊Dic47C2416yes—
493C22⋊Dic47C2416yes—
494C22⋊Dic47C24112yes—
495C22⋊Dic47C24112yes—
496C22⋊Dic47C2412yes—
497C22⋊Dic47C2416yes—
498C22⋊Dic47C2416yes—
499C22⋊Dic47C2416yes—
500C22⋊Dic47C2412yes—
501C22⋊Dic47C2416yes—
502(C2×D47)⋊C4C2416yes—
503(C2×D47)⋊C4C2416yes—
504(C2×D47)⋊C4C2416yes—
505(C2×D47)⋊C4C24112yes—
506(C2×D47)⋊C4C2412yes—
507(C2×D47)⋊C4C2416yes—
508(C2×D47)⋊C4C2416yes—
509C4⋊Dic47C2413yes—
510C4⋊Dic47C2413yes—
511C4⋊Dic47C2413yes—
512C4⋊Dic47C2416yes—
513C4⋊Dic47C2416yes—
514C4⋊Dic47C2413yes—
515C4⋊Dic47C2416yes—
516C4⋊Dic47C24112yes—
517C4⋊Dic47C2416yes—
518C4⋊Dic47C2416yes—
519C4⋊Dic47C2416yes—
520C4⋊Dic47C2411yescharacteristic
521C4⋊Dic47C2412yes—
522C4⋊Dic47C2411yescharacteristic
523C4⋊Dic47C2416yes—
524Dic47⋊C4C2416yes—
525Dic47⋊C4C2416yes—
526Dic47⋊C4C2416yes—
527Dic47⋊C4C2416yes—
528Dic47⋊C4C2416yes—
529Dic47⋊C4C24112yes—
530Dic47⋊C4C24112yes—
531Dic47⋊C4C24112yes—
532Dic47⋊C4C2412yes—
533Dic47⋊C4C2412yes—
534Dic47⋊C4C2412yes—
535Dic47⋊C4C2416yes—
536Dic47⋊C4C2416yes—
537C4×Dic47C2411yescharacteristic
538C4×Dic47C2411yescharacteristic
539C4×Dic47C2411yescharacteristic
540C4×Dic47C2413yes—
541C4×Dic47C2413yes—
542C4×Dic47C2413yes—
543C4×Dic47C2413yes—
544C4×Dic47C2413yes—
545C4×Dic47C2413yes—
546C4×Dic47C2413yes—
547C4×Dic47C2413yes—
548C4×Dic47C2413yes—
549C4×Dic47C2416yes—
550C4×Dic47C2412yes—
551C4×Dic47C24112yes—
552C4×Dic47C2416yes—
553C4×Dic47C2416yes—
554C4×Dic47C2416yes—
555C4×Dic47C2416yes—
556C23×C47—212no—
557C23×C47—46no—
558C23×C47—46no—
559C23×C47C2516yes—
560C23×C47C2512yes—
561C23×C47C2513yes—
562C22×D47—26no—
563C22×D47—26no—
564C22×D47—43no—
565C22×D47C2513yes—
566C22×D47C2511yescharacteristic
567Q8×C47—212no—
568Q8×C47—26no—
569Q8×C47—22no—
570Q8×C47C2×#4114yes—
571D4×C47—212no—
572D4×C47—212no—
573D4×C47—212no—
574D4×C47—26no—
575D4×C47—22no—
576D4×C47—46no—
577D4×C47—46no—
578D4×C47C2×#41112yes—
579C2×C4×C47—212no—
580C2×C4×C47—212no—
581C2×C4×C47—212no—
582C2×C4×C47—43no—
583C2×C4×C47—43no—
584C2×C4×C47C2×#41112yes—
585C2×C4×C47C2511yescharacteristic
586C2×C4×C47C2511yescharacteristic
587C2×C4×C47C2516yes—
588C2×C4×C47C2512yes—
589C2×C4×C47C2513yes—
590C2×C4×C47C2513yes—
591C2×C4×C47C2513yes—
592C2×C4×C47C2511yescharacteristic
593C22⋊D47—212no—
594C22⋊D47—24no—
595C22⋊D47—212no—
596C22⋊D47—46no—
597C22⋊D47—46no—
598C22⋊D47—412no—
599C2×Dic47—26no—
600C2×Dic47—26no—
601C2×Dic47—24no—
602C2×Dic47—212no—
603C2×Dic47—43no—
604C2×Dic47—46no—
605C2×Dic47—46no—
606C2×Dic47—46no—
607C2×Dic47—412no—
608C2×Dic47—46no—
609C2×Dic47C2511yescharacteristic
610C2×Dic47C2513yes—
611C2×Dic47C2513yes—
612C2×Dic47C2511yescharacteristic
613C2×Dic47C2512yes—
614C2×Dic47C2513yes—
615C2×Dic47C2516yes—
616C2×Dic47C2512yes—
617C2×Dic47C2516yes—
618C2×Dic47C2511yescharacteristic
619D188—26no—
620C4×D47—22no—
621C4×D47—26no—
622C4×D47—22no—
623C4×D47—26no—
624C4×D47—26no—
625C4×D47—26no—
626C4×D47—22no—
627C4×D47—26no—
628C4×D47—43no—
629C4×D47—43no—
630C4×D47—43no—
631C4×D47—43no—
632Dic94—26no—
633Dic94—46no—
634Dic94—46no—
635#62810—471nomaximal, Sylow
636C22×C47—23no—
637C22×C47—23no—
638C22×C47—22no—
639C22×C47—26no—
640C22×C47—26no—
641C22×C47—22no—
642C22×C47—22no—
643C22×C47—26no—
644C22×C47—812no—
645C22×C47C22×#4116yes—
646C22×C47C2611yescharacteristic
647C2×D47—21no—
648C2×D47—21no—
649C2×D47—23no—
650C2×D47—23no—
651C2×D47—23no—
652C2×D47—412no—
653C2×D47#58512yes—
654C4×C47—22no—
655C4×C47—26no—
656C4×C47—23no—
657C4×C47—23no—
658C4×C47—21no—
659C4×C47—21no—
660C4×C47C22×#4116yes—
661C4×C47C22×#4112yes—
662Dic47—23no—
663Dic47—21no—
664Dic47—22no—
665Dic47—22no—
666Dic47—26no—
667Dic47—26no—
668Dic47—21no—
669Dic47—23no—
670Dic47—23no—
671Dic47#58512yes—
672#3524—472no—
673#3521—476no—
674#3516—472no—
675#3513—476no—
676#3512—473no—
677#3510—473no—
678#3504—471no—
679#3500D4711yescharacteristic, complemented
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×C47—42no—
697C2×C47—46no—
698C2×C47C23×#4111yescharacteristic
699C2×C47C2×#58511yescharacteristic
700C2×C47C2×#58511yescharacteristic
701D47—22no—
702D47—43no—
703C2×2−1+4C2×D4711yescharacteristic
704C2×H(5,𝔽2)C2×D4711yescharacteristic
705C22×#41—471no—
706#559—476no—
707#559—476no—
708#557—472no—
709#557—472no—
710#556—476no—
711#556—476no—
712#556—476no—
713#555—476no—
714#554—476no—
715#554—476no—
716#554—476no—
717#553—4712no—
718#553—4712no—
719#553—476no—
720#553—476no—
721#553—476no—
722#553—476no—
723#552—4712no—
724#552—476no—
725#552—476no—
726#552—476no—
727#552—476no—
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#548C2×D4712yescomplemented
737#548C2×D4712yescomplemented
738#547—476no—
739#547—476no—
740#546—476no—
741#546—476no—
742#546—4712no—
743#546C2×D4716yescomplemented
744#546C2×D4716yescomplemented
745D42—476no—
746#544—473no—
747#544—473no—
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#536C2×D4713yescomplemented
762#535—473no—
763#535C2×D4713yescomplemented
764#533—473no—
765#533—473no—
766#533—476no—
767#533—473no—
768#532—473no—
769#532—473no—
770#532—476no—
771#532C2×D4713yescomplemented
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—4712no—
784#529—476no—
785#529—476no—
786#529—476no—
787#529—476no—
788#529—476no—
789#529—476no—
790C2×#126—476no—
791C2×#125—473no—
792C2×#124C2×D4713yescomplemented
793#525—473no—
794#525—473no—
795#525—476no—
796#525—476no—
797#525—4712no—
798C2×#123—476no—
799C2×C22⋊Q8—473no—
800C2×#121—473no—
801#520—471no—
802#520—473no—
803#520—472no—
804#520—471no—
805#520—473no—
806#520—476no—
807#519—473no—
808#519—472no—
809#518—473no—
810#518—476no—
811C4×#41—471no—
812C4×#41—473no—
813C4×#41—472no—
814C4×#41—473no—
815C4×#41—476no—
816C4×#41—471no—
817C4×#41—471no—
818C4×#41—473no—
819C4×#41—473no—
820C4×#41—476no—
821C4×#41—476no—
822C4×#41—473no—
823C4×#41—473no—
824C4×#41C2×D4711yescharacteristic
825C2×C4×Q8—473no—
826C2×C4×Q8—472no—
827C2×C4×Q8—471no—
828C2×C4×Q8—471no—
829C2×C4×D4—473no—
830C2×C4×D4—476no—
831C2×C4×D4—473no—
832C2×C4×D4—473no—
833C2×C4×D4—476no—
834C2×#117—473no—
835C2×#117—476no—
836C22×C42—473no—
837C47#6281011yescharacteristic, complemented, Sylow
8382−1+4—28no—
839H(5,𝔽2)—28no—
840C2×#41—471no—
841C2×#41—473no—
842C2×#41—476no—
843C2×#41—476no—
844C2×#41—473no—
845C2×#41—948no—
846C2×#41C22×D4713yes—
847C2×#41C22×D4713yes—
848C2×#41C22×D4716yes—
849C2×#41C22×D4712yes—
850C2×#41C22×D4711yescharacteristic
851C22×Q8—471no—
852C22×Q8C22×D4713yes—
853C22×Q8C22×D4712yes—
854C22×D4—476no—
855C22×D4—473no—
856C22×D4C22×D4713yes—
857C22×D4C22×D4716yes—
858C23×C4—476no—
859C23×C4—473no—
860C23×C4—473no—
861C23×C4—473no—
862C4⋊Q8—476no—
863C4⋊Q8—476no—
864C4⋊Q8—476no—
865C4⋊Q8—473no—
866C4⋊Q8—473no—
867C4⋊Q8C22×D4713yes—
868#127—476no—
869#127C22×D4713yes—
870#126—4712no—
871#126—4712no—
872#126—476no—
873#126—4712no—
874#126—4712no—
875#126—4712no—
876#126—472no—
877#126—476no—
878#126—476no—
879#126—4712no—
880#126—4712no—
881#125—476no—
882#125—476no—
883#125—476no—
884#125—4712no—
885#125—476no—
886#125—4712no—
887#125—473no—
888#125—476no—
889#125—476no—
890#125—476no—
891#125—471no—
892#124—476no—
893#124—476no—
894#124—476no—
895#124—476no—
896#124—4712no—
897#124—4712no—
898#124C22×D4713yes—
899#124C22×D4716yes—
900#124C22×D4716yes—
901#124C22×D4716yes—
902#124C22×D4711yescharacteristic
903#123—476no—
904#123—476no—
905#123—4712no—
906#123—4712no—
907#123—4712no—
908#123—476no—
909#123—4712no—
910#123—4712no—
911#123—4712no—
912#123—472no—
913#123—476no—
914#123—476no—
915#123—4712no—
916#123—4712no—
917#123C22×D47112yes—
918C22⋊Q8—473no—
919C22⋊Q8—476no—
920C22⋊Q8—476no—
921C22⋊Q8—476no—
922C22⋊Q8—471no—
923C22⋊Q8—473no—
924C22⋊Q8—473no—
925C22⋊Q8—476no—
926C22⋊Q8—476no—
927C22⋊Q8—476no—
928C22⋊Q8—476no—
929C22⋊Q8—476no—
930C22⋊Q8—476no—
931C22⋊Q8—4712no—
932C22⋊Q8—4712no—
933C22⋊Q8—4712no—
934C22⋊Q8—4712no—
935C22⋊Q8C22×D4716yes—
936C22⋊Q8C22×D4716yes—
937#121—473no—
938#121—476no—
939#121—476no—
940#121—476no—
941#121—471no—
942#121—473no—
943#121—473no—
944#121—476no—
945#121—476no—
946#121—4712no—
947#121—4712no—
948#121—4712no—
949#121—4712no—
950#121—476no—
951#121—476no—
952#121C22×D4716yes—
953#121C22×D4716yes—
954#121C22×D4716yes—
955#121C22×D4716yes—
956#120—4712no—
957#120—476no—
958#120—476no—
959#120C22×D47112yes—
960C4×Q8—471no—
961C4×Q8—473no—
962C4×Q8—476no—
963C4×Q8—471no—
964C4×Q8—476no—
965C4×Q8—476no—
966C4×Q8—472no—
967C4×Q8—476no—
968C4×Q8—471no—
969C4×Q8—473no—
970C4×Q8—476no—
971C4×Q8—473no—
972C4×Q8—472no—
973C4×Q8—473no—
974C4×Q8—473no—
975C4×Q8—476no—
976C4×Q8—476no—
977C4×Q8—473no—
978C4×Q8—473no—
979C4×Q8—476no—
980C4×Q8—476no—
981C4×Q8C22×D4711yescharacteristic
982C4×Q8C22×D4711yescharacteristic
983C4×D4—473no—
984C4×D4—476no—
985C4×D4—473no—
986C4×D4—476no—
987C4×D4—473no—
988C4×D4—476no—
989C4×D4—476no—
990C4×D4—476no—
991C4×D4—4712no—
992C4×D4—476no—
993C4×D4—476no—
994C4×D4—471no—
995C4×D4—476no—
996C4×D4—473no—
997C4×D4—476no—
998C4×D4—476no—
999C4×D4—473no—
1000C4×D4—476no—
1001C4×D4—4712no—
1002C4×D4—476no—
1003C4×D4—476no—
1004C4×D4—476no—
1005C4×D4—476no—
1006C4×D4—476no—
1007C4×D4—476no—
1008C4×D4—476no—
1009C4×D4—476no—
1010C4×D4—473no—
1011C4×D4—473no—
1012C4×D4—476no—
1013C4×D4—476no—
1014C4×D4—476no—
1015C4×D4—4712no—
1016C4×D4—4712no—
1017C4×D4—4712no—
1018C4×D4—472no—
1019C4×D4—476no—
1020C4×D4—476no—
1021C4×D4—473no—
1022C4×D4—473no—
1023C4×D4C22×D4713yes—
1024C4×D4C22×D4713yes—
1025C4×D4C22×D4716yes—
1026C4×D4C22×D4716yes—
1027#117—473no—
1028#117—473no—
1029#117—476no—
1030#117—476no—
1031#117—473no—
1032#117—476no—
1033#117—4712no—
1034#117—476no—
1035#117—473no—
1036#117—473no—
1037#117—476no—
1038#117—476no—
1039#117—476no—
1040#117—476no—
1041#117—4712no—
1042#117—4712no—
1043#117—4712no—
1044#117—472no—
1045#117—476no—
1046#117—476no—
1047#117—476no—
1048#117C22×D4713yes—
1049C2×C4⋊C4—476no—
1050C2×C4⋊C4—476no—
1051C2×C4⋊C4—473no—
1052C2×C4⋊C4—476no—
1053C2×C4⋊C4—476no—
1054C2×C4⋊C4—473no—
1055C2×C4⋊C4—476no—
1056C2×C4⋊C4—476no—
1057C2×C4⋊C4—473no—
1058C2×C4⋊C4—473no—
1059C2×C22⋊C4—476no—
1060C2×C22⋊C4—476no—
1061C2×C22⋊C4—4712no—
1062C2×C22⋊C4—476no—
1063C2×C22⋊C4—476no—
1064C2×C22⋊C4C22×D4716yes—
1065C2×C22⋊C4C22×D4716yes—
1066C2×C42—473no—
1067C2×C42—476no—
1068C2×C42—473no—
1069C2×C42—476no—
1070C2×C42—476no—
1071C2×C42—473no—
1072C2×C42—473no—
1073C2×C42—473no—
1074C2×C42—473no—
1075C2×C42—473no—
1076C2×C42—473no—
1077C2×C42—473no—
1078C2×C42—473no—
1079C2×C42—471no—
1080C2×C42C22×D4713yes—
1081C24—473no—
1082C24C23×D4716yes—
1083#41—28no—
1084#41—224no—
1085#41—212no—
1086#41—212no—
1087#41—944no—
1088#41—9412no—
1089#41—9412no—
1090#41—18812no—
1091#41—18812no—
1092#41#1062535218yescomplemented
1093C2×Q8—28no—
1094C2×Q8—212no—
1095C2×Q8—473no—
1096C2×Q8—476no—
1097C2×Q8—476no—
1098C2×Q8—944no—
1099C2×Q8C23×D4713yes—
1100C2×Q8C23×D4711yescharacteristic
1101C2×Q8C23×D4716yes—
1102C2×Q8C23×D4711yescharacteristic
1103C2×D4—224no—
1104C2×D4—212no—
1105C2×D4—472no—
1106C2×D4—476no—
1107C2×D4—476no—
1108C2×D4—476no—
1109C2×D4—476no—
1110C2×D4—4712no—
1111C2×D4—473no—
1112C2×D4—9412no—
1113C2×D4—18812no—
1114C2×D4C23×D4716yes—
1115C2×D4C23×D4716yes—
1116C2×D4C23×D4713yes—
1117C2×D4C23×D4711yescharacteristic
1118C2×D4C23×D4716yes—
1119C2×D4C23×D4716yes—
1120C2×D4C23×D4716yes—
1121C2×D4C23×D4713yes—
1122C22×C4—473no—
1123C22×C4—472no—
1124C22×C4—473no—
1125C22×C4—476no—
1126C22×C4—473no—
1127C22×C4—476no—
1128C22×C4—476no—
1129C22×C4—476no—
1130C22×C4—476no—
1131C22×C4—4712no—
1132C22×C4—471no—
1133C22×C4—471no—
1134C22×C4—471no—
1135C22×C4—473no—
1136C22×C4—473no—
1137C22×C4—473no—
1138C22×C4—473no—
1139C22×C4—473no—
1140C22×C4—473no—
1141C22×C4—473no—
1142C22×C4—473no—
1143C22×C4—473no—
1144C22×C4—9412no—
1145C22×C4—1886no—
1146C22×C4—1886no—
1147C22×C4—18812no—
1148C22×C4C23×D4716yes—
1149C22×C4C23×D4716yes—
1150C22×C4C23×D4716yes—
1151C22×C4C23×D4713yes—
1152C22×C4C23×D4713yes—
1153C22×C4C23×D4713yes—
1154C4⋊C4—476no—
1155C4⋊C4—476no—
1156C4⋊C4—476no—
1157C4⋊C4—476no—
1158C4⋊C4—476no—
1159C4⋊C4—4712no—
1160C4⋊C4—4712no—
1161C4⋊C4—4712no—
1162C4⋊C4—472no—
1163C4⋊C4—472no—
1164C4⋊C4—472no—
1165C4⋊C4—476no—
1166C4⋊C4—476no—
1167C4⋊C4—473no—
1168C4⋊C4—473no—
1169C4⋊C4—476no—
1170C4⋊C4—473no—
1171C4⋊C4—476no—
1172C4⋊C4—476no—
1173C4⋊C4—473no—
1174C4⋊C4—4712no—
1175C4⋊C4—476no—
1176C4⋊C4—471no—
1177C4⋊C4—472no—
1178C4⋊C4—471no—
1179C4⋊C4—476no—
1180C4⋊C4—476no—
1181C4⋊C4—476no—
1182C4⋊C4C23×D4713yes—
1183C4⋊C4C23×D4713yes—
1184C4⋊C4C23×D4716yes—
1185C4⋊C4C23×D4716yes—
1186C22⋊C4—476no—
1187C22⋊C4—476no—
1188C22⋊C4—476no—
1189C22⋊C4—476no—
1190C22⋊C4—4712no—
1191C22⋊C4—476no—
1192C22⋊C4—4712no—
1193C22⋊C4—476no—
1194C22⋊C4—476no—
1195C22⋊C4—472no—
1196C22⋊C4—472no—
1197C22⋊C4—476no—
1198C22⋊C4—476no—
1199C22⋊C4—476no—
1200C22⋊C4—476no—
1201C22⋊C4—476no—
1202C22⋊C4—4712no—
1203C22⋊C4—472no—
1204C22⋊C4—476no—
1205C22⋊C4—476no—
1206C22⋊C4C23×D4716yes—
1207C22⋊C4C23×D4716yes—
1208C22⋊C4C23×D4716yes—
1209C22⋊C4C23×D47112yes—
1210C22⋊C4C23×D47112yes—
1211C22⋊C4C23×D4712yes—
1212C22⋊C4C23×D4712yes—
1213C42—471no—
1214C42—473no—
1215C42—471no—
1216C42—471no—
1217C42—473no—
1218C42—472no—
1219C42—473no—
1220C42—476no—
1221C42—473no—
1222C42—473no—
1223C42—473no—
1224C42—473no—
1225C42—473no—
1226C42—473no—
1227C42—476no—
1228C42—4712no—
1229C42—476no—
1230C42—476no—
1231C42—476no—
1232C42C23×D4711yescharacteristic
1233C42C23×D4713yes—
1234C42C23×D4713yes—
1235C42C23×D4713yes—
1236C23—212no—
1237C23—46no—
1238C23—46no—
1239C23—471no—
1240C23—473no—
1241C23—946no—
1242C23—946no—
1243C23—1883no—
1244C23C24×D4716yes—
1245C23C24×D4712yes—
1246C23C24×D4713yes—
1247Q8—212no—
1248Q8—26no—
1249Q8—22no—
1250Q8—946no—
1251Q8—1886no—
1252Q8—1886no—
1253Q8C2×#1062535214yes—
1254D4—212no—
1255D4—212no—
1256D4—212no—
1257D4—26no—
1258D4—22no—
1259D4—46no—
1260D4—46no—
1261D4—9412no—
1262D4—944no—
1263D4—9412no—
1264D4—946no—
1265D4—18812no—
1266D4—1886no—
1267D4—1886no—
1268D4C2×#10625352112yes—
1269C2×C4—212no—
1270C2×C4—212no—
1271C2×C4—212no—
1272C2×C4—43no—
1273C2×C4—43no—
1274C2×C4—471no—
1275C2×C4—471no—
1276C2×C4—473no—
1277C2×C4—473no—
1278C2×C4—471no—
1279C2×C4—472no—
1280C2×C4—472no—
1281C2×C4—473no—
1282C2×C4—476no—
1283C2×C4—476no—
1284C2×C4—942no—
1285C2×C4—946no—
1286C2×C4—942no—
1287C2×C4—946no—
1288C2×C4—946no—
1289C2×C4—9412no—
1290C2×C4—944no—
1291C2×C4—946no—
1292C2×C4—942no—
1293C2×C4—946no—
1294C2×C4—946no—
1295C2×C4—946no—
1296C2×C4—1883no—
1297C2×C4—1883no—
1298C2×C4—1883no—
1299C2×C4—1883no—
1300C2×C4—1883no—
1301C2×C4—18812no—
1302C2×C4—1886no—
1303C2×C4—1886no—
1304C2×C4—1886no—
1305C2×C4—1886no—
1306C2×C4C2×#10625352112yes—
1307C2×C4C24×D4711yescharacteristic
1308C2×C4C24×D4711yescharacteristic
1309C2×C4C24×D4716yes—
1310C2×C4C24×D4712yes—
1311C2×C4C24×D4713yes—
1312C2×C4C24×D4713yes—
1313C2×C4C24×D4713yes—
1314C2×C4C24×D4711yescharacteristic
1315C22—23no—
1316C22—23no—
1317C22—22no—
1318C22—26no—
1319C22—26no—
1320C22—22no—
1321C22—22no—
1322C22—26no—
1323C22—812no—
1324C22—472no—
1325C22—941no—
1326C22—941no—
1327C22—943no—
1328C22—943no—
1329C22—943no—
1330C22—18812no—
1331C22C22×#1062535216yes—
1332C22C25×D4711yescharacteristic
1333C4—22no—
1334C4—26no—
1335C4—21no—
1336C4—21no—
1337C4—23no—
1338C4—23no—
1339C4—472no—
1340C4—941no—
1341C4—943no—
1342C4—943no—
1343C4—941no—
1344C4—943no—
1345C4—946no—
1346C4—942no—
1347C4—946no—
1348C4—942no—
1349C4C22×#1062535216yes—
1350C4C22×#1062535212yes—
1351C2—26no—
1352C2—46no—
1353C2—42no—
1354C2—942no—
1355C2—1883no—
1356C2C23×#1062535211yescharacteristic
1357C2#585×D4711yescharacteristic
1358C2#585×D4711yescharacteristic
subgroupG/H
center, FrattiniC22C25×D47
commutator, socle, cosocleC22×C47C26
FittingC47×#3500C2
hypercenter#3500D47
hypocenterC47#62810
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C22 ◁ #3500

Complements

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

NH ≅ G/Ntype
1. #20257490C2semidirect
2. #20257445C2semidirect
3. #20257374C2semidirect
4. #20257317C2semidirect
5. #20257308C2semidirect
6. #20257282C2semidirect
7. #20257214C2semidirect
8. #20257137C2semidirect
9. #20257120C2semidirect
10. #20257061C2semidirect
11. #20257050C2semidirect
12. #20257004C2semidirect
13. #20256993C2semidirect
14. #20256978C2semidirect
15. #20256939C2semidirect
16. #20256812C2semidirect
17. #20256801C2semidirect
18. #20256683C2semidirect
19. C2×#15689652C2semidirect
20. 2−1+4×Dic47C2semidirect
21. H(5,𝔽2)×Dic47C2semidirect
22. C4×#41×D47C2semidirect
23. C47×#3500C2semidirect
25. #15689855C22semidirect
26. #15689855C22semidirect
27. #15689849C22semidirect
28. #15689849C22semidirect
29. #15689844C22semidirect
30. #15689842C22semidirect
31. #15689842C22semidirect
32. #15689837C22semidirect
33. #15689832C22semidirect
34. #15689832C22semidirect
35. #15689831C22semidirect
36. #15689825C22semidirect
37. #15689820C22semidirect
38. #15689819C22semidirect
39. #15689819C22semidirect
40. #15689816C22semidirect
41. #15689816C22semidirect
42. #15689815C22semidirect
43. #15689813C22semidirect
44. #15689813C22semidirect
45. #15689810C22semidirect
46. #15689807C22semidirect
47. #15689804C22semidirect
48. #15689799C22semidirect
49. #15689799C22semidirect
50. #15689796C22semidirect
52. Q8×C22⋊D47C22semidirect
53. #15689784C22semidirect
55. #15689773C22semidirect
56. #15689772C22semidirect
58. #15689761C22semidirect
59. #15689760C22semidirect
61. #15689751C22semidirect
62. #15689751C22semidirect
63. #15689746C22semidirect
64. #15689742C22semidirect
65. #15689742C22semidirect
66. #15689740C22semidirect
67. #15689734C22semidirect
68. #15689733C22semidirect
69. #15689727C22semidirect
70. #15689726C22semidirect
71. #15689717C22semidirect
72. #15689708C22semidirect
74. #15689701C22semidirect
75. #15689697C22semidirect
77. #15689680C22semidirect
78. #15689678C22semidirect
79. #15689678C22semidirect
80. #15689675C22semidirect
81. #15689671C22semidirect
82. #15689671C22semidirect
83. #15689668C22semidirect
84. #15689659C22semidirect
85. #15689655C22semidirect
86. #15689655C22semidirect
87. #15689654C22semidirect
88. #15689654C22semidirect
89. #15689654C22semidirect
90. #15689652C22semidirect
91. #15689652C22semidirect
92. #15689652C22semidirect
93. #15689652C22semidirect
94. #15689652C22semidirect
95. #15689652C22semidirect
96. #15689652C22semidirect
97. #15689652C22semidirect
98. #15689652C22semidirect
99. #15689652C22semidirect
100. #15689652C22semidirect
101. #15689650C22semidirect
102. C2×#13094017C22semidirect
103. C2×#13094016C22semidirect
104. #15689633C22semidirect
105. #15689633C22semidirect
107. #15689630C22semidirect
108. #15689629C22semidirect
109. C2×#13094006C22semidirect
110. C2×#13094000C22semidirect
114. #15689606C22semidirect
115. #15689606C22semidirect
116. #15689606C22semidirect
117. #15689606C22semidirect
118. #15689601C22semidirect
119. #15689601C22semidirect
120. #15689598C22semidirect
121. #15689598C22semidirect
123. #41×Dic47C22semidirect
124. #41×Dic47C22semidirect
125. #41×Dic47C22semidirect
126. #41×Dic47C22semidirect
127. C4×#10625354C22semidirect
128. C4×#10625354C22semidirect
129. C4×#10625350C22semidirect
130. #15689591C22semidirect
131. C4×#10625352C22semidirect
132. C4×#10625352C22semidirect
133. C4×#10625352C22semidirect
134. C4×#10625352C22semidirect
135. C2×Q8×Dic47C22semidirect
136. C2×Q8×Dic47C22semidirect
137. C4×Q8×D47C22semidirect
138. C4×Q8×D47C22semidirect
139. C2×D4×Dic47C22semidirect
140. C2×D4×Dic47C22semidirect
141. C2×(C22⋊D47)⋊C4C22semidirect
142. C4×D4×D47C22semidirect
143. C4×D4×D47C22semidirect
144. C2×#13093980C22semidirect
145. #117×D47C22semidirect
146. C2×C42×D47C22semidirect
149. C47×#548C22semidirect
150. C47×#548C22semidirect
151. C47×#546C22semidirect
152. C47×#546C22semidirect
153. C47×#536C22semidirect
154. C47×#535C22semidirect
155. C47×#532C22semidirect
156. C2×#124×C47C22semidirect
407. #41×C47#41semidirect
679. #3500D47semidirect
736. #548C2×D47semidirect
737. #548C2×D47semidirect
743. #546C2×D47semidirect
744. #546C2×D47semidirect
761. #536C2×D47semidirect
763. #535C2×D47semidirect
771. #532C2×D47semidirect
792. C2×#124C2×D47semidirect
837. C47#62810semidirect
1092. #41#10625352semidirect

Maximal subgroups

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

subgroupindex
#202574902
#202574452
#202573742
#202573172
#202573082
#202572822
#202572142
#202571372
#202571202
#202570612
#202570502
#202570042
#202569932
#202569782
#202569392
#202568122
#202568012
#202566832
C2×#156896522
2−1+4×Dic472
H(5,𝔽2)×Dic472
C4×#41×D472
C47×#35002
#6281047