Finite Group Databasebeta

← D47×#3522 #27124479

Subgroups — D47×#3522 #27124479

Order 12032.

7758 conjugacy classes of subgroups.

The subgroup lattice has 1378 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257474C211yesmaximal, characteristic, complemented
2#20257473C211yesmaximal, characteristic, complemented
3#20257472C213yesmaximal, complemented
4#20257471C213yesmaximal, complemented
5#20257470C213yesmaximal, complemented
6#20257469C216yesmaximal, complemented
7#20257468C211yesmaximal, characteristic, complemented
8#20257467C212yesmaximal, complemented
9#20257466C216yesmaximal, complemented
10#20257465C213yesmaximal, complemented
11#20257464C212yesmaximal, complemented
12#559×D47C213yesmaximal, complemented
13Q82×D47C211yesmaximal, characteristic, complemented
14#554×D47C213yesmaximal, complemented
15#550×D47C211yesmaximal, characteristic, complemented
16#548×D47C212yesmaximal, complemented
17#547×D47C216yesmaximal, complemented
18#542×D47C216yesmaximal, complemented
19#532×D47C213yesmaximal, complemented
20#529×D47C213yesmaximal, complemented
21#520×D47C212yesmaximal, complemented
22C2×C4×Q8×D47C211yesmaximal, characteristic, complemented
23C47×#3522C211yesmaximal, characteristic, complemented
24C2×#41×D47C2212yes—
25C2×#41×D47C2216yes—
26C22×Q8×D47C2211yescharacteristic
27#15689859C2213yescomplemented
28#15689858C2213yescomplemented
29#15689858C2213yescomplemented
30#15689857C22112yescomplemented
31#15689856C2216yescomplemented
32#15689856C2216yescomplemented
33#15689855C2216yescomplemented
34#15689855C2216yescomplemented
35Q8×Dic94C2212yescomplemented
36Q8×Dic94C2211yescharacteristic, complemented
37Q8×Dic94C2213yescomplemented
38#15689853C2213yescomplemented
39#15689853C2216yescomplemented
40#15689834C2213yescomplemented
41#15689833C2213yescomplemented
42#15689832C2216yescomplemented
43#15689831C2216yescomplemented
44#15689830C2213yescomplemented
45#15689829C2216yescomplemented
46#15689828C2216yescomplemented
47#15689827C22112yescomplemented
48#15689795C2211yescharacteristic, complemented
49#15689794C2213yescomplemented
50#15689793C2213yescomplemented
51#15689792C2212yescomplemented
52#15689791C2216yescomplemented
53#15689785C2212yescomplemented
54#15689784C2212yescomplemented
55#15689783C2216yescomplemented
56#15689782C2216yescomplemented
57#15689781C2216yescomplemented
58#15689780C2212yescomplemented
59#15689779C2216yescomplemented
60#15689778C2216yescomplemented
61#15689777C2216yescomplemented
62#15689776C2216yescomplemented
63#15689775C22112yescomplemented
64#15689774C2216yescomplemented
65#15689774C2216yescomplemented
66#15689773C2216yescomplemented
67#15689773C2216yescomplemented
68#15689772C22112yescomplemented
69#15689771C22112yescomplemented
70#15689771C22112yescomplemented
71#15689747C2216yescomplemented
72#15689746C2216yescomplemented
73#15689745C2216yescomplemented
74#15689744C2216yescomplemented
75#15689743C22112yescomplemented
76#15689742C2216yescomplemented
77#15689741C22112yescomplemented
78#15689740C2216yescomplemented
79#15689739C22112yescomplemented
80#15689738C2216yescomplemented
81#15689737C22112yescomplemented
82#15689674C2213yescomplemented
83#15689673C2213yescomplemented
84#15689672C2216yescomplemented
85#15689671C2213yescomplemented
86#15689670C2216yescomplemented
87#15689670C2216yescomplemented
88#15689669C2216yescomplemented
89#15689668C2216yescomplemented
90#15689668C2216yescomplemented
91C4⋊Q8×D47C2216yes—
92C4⋊Q8×D47C2213yes—
93#127×D47C2213yes—
94#15689660C2213yescomplemented
95#15689659C2213yescomplemented
96#15689658C2213yescomplemented
97#15689657C2213yescomplemented
98#15689656C2216yescomplemented
99#15689655C2213yescomplemented
100#15689654C2213yescomplemented
101#15689653C2216yescomplemented
102#15689652C2213yescomplemented
103#15689651C2216yescomplemented
104#15689650C2216yescomplemented
105#126×D47C2216yes—
106#125×D47C2213yes—
107#124×D47C2216yes—
108#124×D47C2213yes—
109#124×D47C2216yes—
110#123×D47C2216yes—
111#123×D47C22112yes—
112C22⋊Q8×D47C22112yes—
113C22⋊Q8×D47C2216yes—
114C22⋊Q8×D47C2211yescharacteristic
115#121×D47C2216yes—
116#121×D47C2216yes—
117#121×D47C2213yes—
118#15689606C2212yescomplemented
119#15689605C2212yescomplemented
120#15689605C2212yescomplemented
121#15689604C2216yescomplemented
122#15689603C2216yescomplemented
123#15689602C2216yescomplemented
124#15689602C2216yescomplemented
125C2×Q8×Dic47C2211yescharacteristic, complemented
126C2×C4×Dic94C2213yescomplemented
127C2×#13093989C2213yescomplemented
128C4×Q8×D47C2211yescharacteristic
129C4×Q8×D47C2211yescharacteristic
130C4×Q8×D47C2213yes—
131C4×Q8×D47C2213yes—
132C4×Q8×D47C2212yes—
133C4×Q8×D47C2213yes—
134C4×Q8×D47C2211yescharacteristic, complemented
135C4×Q8×D47C2211yescharacteristic, complemented
136C4×Q8×D47C2213yescomplemented
137C4×Q8×D47C2213yescomplemented
138C4×D4×D47C2216yes—
139C4×D4×D47C2216yes—
140C4×D4×D47C2216yes—
141C4×D4×D47C2213yes—
142C4×D4×D47C2216yes—
143#117×D47C2216yes—
144C2×C4⋊C4×D47C2213yes—
145C2×C4⋊C4×D47C2216yes—
146C2×C42×D47C2213yes—
147C47×#559C2213yescomplemented
148Q82×C47C2211yescharacteristic, complemented
149C47×#554C2213yescomplemented
150C47×#550C2211yescharacteristic, complemented
151C47×#548C2212yescomplemented
152C47×#547C2216yescomplemented
153C47×#542C2216yescomplemented
154C47×#532C2213yescomplemented
155C47×#529C2213yescomplemented
156C47×#520C2212yescomplemented
157C2×C4×Q8×C47C2211yescharacteristic, complemented
158C2×#10625354C2312yes—
159C2×#10625354C2316yes—
160C2×#10625350C2316yes—
161C2×#10625350C2316yes—
162C2×#10625350C23112yes—
163C2×#10625352C2316yes—
164C2×#10625352C2316yes—
165C2×#10625352C23112yes—
166#41×D47—216no—
167#41×D47—424no—
168C22×Dic94C2313yes—
169C2×Q8×D47—28no—
170C2×Q8×D47C2311yescharacteristic
171C2×Q8×D47C2313yes—
172C2×Q8×D47C2311yescharacteristic
173C2×Q8×D47C2313yes—
174C2×Q8×D47C2316yes—
175C2×Q8×D47C2311yescharacteristic
176C2×D4×D47C2313yes—
177C2×D4×D47C2316yes—
178C2×D4×D47C2316yes—
179C2×D4×D47C2316yes—
180C22×C4×D47C2311yescharacteristic
181C22×C4×D47C2313yes—
182C22×C4×D47C2313yes—
183C22×C4×D47C2316yes—
184C22×C4×D47C23112yes—
185#13094024C2316yes—
186#13094024C2313yes—
187#13094023C2316yes—
188#13094023C23112yes—
189#13094023C2316yes—
190#13094023C2316yes—
191#13094023C2316yes—
192#13094022C23112yes—
193#13094022C2316yes—
194#13094021C2313yes—
195#13094020C2316yes—
196#13094020C2316yes—
197#13094020C2316yes—
198#13094019C2316yes—
199#13094019C2316yes—
200#13094019C2316yes—
201#13094018C2316yes—
202#13094017C2316yes—
203#13094017C2316yes—
204#13094017C2316yes—
205#13094016C2313yes—
206#13094015C2313yes—
207#13094015C2313yes—
208#13094014C2316yes—
209#13094014C2316yes—
210#13094013C2316yes—
211#13094013C2316yes—
212#13094013C2313yes—
213#13094012C2316yes—
214#13094012C2316yes—
215#13094012C2313yes—
216#13094011C2316yes—
217#13094011C2316yes—
218#13094011C2313yes—
219#13094010C23112yes—
220#13094010C23112yes—
221#13094010C23112yes—
222#13094010C23112yes—
223#13094010C2316yes—
224#13094010C2316yes—
225#13094009C23112yes—
226#13094009C23112yes—
227#13094009C2316yes—
228#13094009C2316yes—
229#13094008C23112yes—
230#13094008C2316yes—
231#13094007C23112yes—
232#13094007C2316yes—
233#13094006C23112yes—
234#13094006C23112yes—
235#13094006C2316yes—
236#13094006C2316yes—
237#13094005C23112yes—
238#13094005C2316yes—
239#13094004C2316yes—
240#13094004C23112yes—
241#13094004C2311yescharacteristic
242#13094003C23112yes—
243#13094003C2316yes—
244#13094003C2311yescharacteristic
245#13094002C23112yes—
246#13094002C23112yes—
247#13094002C23112yes—
248#13094002C2312yes—
249#13094001C23112yes—
250#13094001C23112yes—
251#13094001C23112yes—
252#13094001C2312yes—
253#13094000C23112yes—
254#13094000C2316yes—
255#13094000C2311yescharacteristic
256#13093999C2316yes—
257#13093999C2316yes—
258#13093999C2313yes—
259#13093998C2316yes—
260#13093998C2316yes—
261#13093998C2313yes—
262#13093997C23112yes—
263#13093997C23112yes—
264#13093997C2316yes—
265#13093996C23112yes—
266#13093996C23112yes—
267#13093996C2316yes—
268#13093995C2316yes—
269#13093995C2316yes—
270#13093995C2313yes—
271Q8×Dic47C2313yes—
272Q8×Dic47C2312yes—
273Q8×Dic47C2311yescharacteristic
274Q8×Dic47C2313yes—
275Q8×Dic47C2311yescharacteristic
276Q8×Dic47C2313yes—
277C4×Dic94C2316yes—
278C4×Dic94C2313yes—
279C4×Dic94C2316yes—
280C4×Dic94C2313yes—
281C4×Dic94C2316yes—
282C4×Dic94C2313yes—
283C4×Dic94C2313yes—
284C4×Dic94C2316yes—
285C4×Dic94C2313yes—
286#13093989C2313yes—
287#13093989C2316yes—
288#13093989C2316yes—
289#13093989C2313yes—
290#13093989C2316yes—
291#13093989C2313yes—
292#13093989C2313yes—
293#13093989C2313yes—
294#13093989C2316yes—
295C4×D188C2316yes—
296C4×D188C2316yes—
297C4×D188C2316yes—
298C4×D188C2313yes—
299C4×D188C2316yes—
300D4×Dic47C2316yes—
301D4×Dic47C2316yes—
302D4×Dic47C2316yes—
303D4×Dic47C2313yes—
304D4×Dic47C2316yes—
305#13093986C2316yes—
306#13093986C2316yes—
307#13093986C2316yes—
308#13093986C2313yes—
309#13093986C2316yes—
310C4×C22⋊D47C23112yes—
311C4×C22⋊D47C23112yes—
312C4×C22⋊D47C2316yes—
313C4×C22⋊D47C2316yes—
314C4×C22⋊D47C2316yes—
315C4×C22⋊D47C23112yes—
316(C22⋊D47)⋊C4C23112yes—
317(C22⋊D47)⋊C4C2316yes—
318(C22⋊D47)⋊C4C2316yes—
319(C22⋊D47)⋊C4C23112yes—
320(C22⋊D47)⋊C4C2316yes—
321(C22⋊D47)⋊C4C23112yes—
322#13093983C2316yes—
323#13093982C2316yes—
324#13093982C2316yes—
325#13093981C2316yes—
326#13093981C2316yes—
327#13093980C2316yes—
328#13093980C2316yes—
329C2×C4⋊Dic47C2313yes—
330C2×C4⋊Dic47C2316yes—
331C2×Dic47⋊C4C2316yes—
332C2×Dic47⋊C4C23112yes—
333C4⋊C4×D47C2316yes—
334C4⋊C4×D47C23112yes—
335C4⋊C4×D47C2313yes—
336C4⋊C4×D47C2316yes—
337C4⋊C4×D47C2313yes—
338C4⋊C4×D47C2316yes—
339C4⋊C4×D47C2313yes—
340C4⋊C4×D47C2316yes—
341C4⋊C4×D47C2316yes—
342C4⋊C4×D47C2313yes—
343C4⋊C4×D47C2316yes—
344C4⋊C4×D47C2312yes—
345C4⋊C4×D47C2311yescharacteristic
346C4⋊C4×D47C2313yes—
347C4⋊C4×D47C2316yes—
348C4⋊C4×D47C2316yes—
349C22⋊C4×D47C2316yes—
350C22⋊C4×D47C2316yes—
351C22⋊C4×D47C2312yes—
352C22⋊C4×D47C2316yes—
353C22⋊C4×D47C23112yes—
354C22⋊C4×D47C2316yes—
355C2×C4×Dic47C2313yes—
356C2×C4×Dic47C2313yes—
357C2×C4×Dic47C2313yes—
358C42×D47C2313yes—
359C42×D47C2313yes—
360C42×D47C2313yes—
361C42×D47C2313yes—
362C42×D47C2313yes—
363C42×D47C2313yes—
364C42×D47C2313yes—
365C42×D47C2313yes—
366C42×D47C2316yes—
367C2×#41×C47C2312yes—
368C2×#41×C47C2316yes—
369C22×Q8×C47C2311yescharacteristic
370C4⋊Q8×C47C2316yes—
371C4⋊Q8×C47C2313yes—
372#127×C47C2313yes—
373#126×C47C2316yes—
374#125×C47C2313yes—
375#124×C47C2316yes—
376#124×C47C2316yes—
377#124×C47C2313yes—
378#123×C47C23112yes—
379#123×C47C2316yes—
380C22⋊Q8×C47C23112yes—
381C22⋊Q8×C47C2316yes—
382C22⋊Q8×C47C2311yescharacteristic
383#121×C47C2316yes—
384#121×C47C2316yes—
385#121×C47C2313yes—
386C4×Q8×C47C2313yes—
387C4×Q8×C47C2312yes—
388C4×Q8×C47C2311yescharacteristic
389C4×Q8×C47C2311yescharacteristic
390C4×Q8×C47C2313yes—
391C4×Q8×C47C2313yes—
392C4×D4×C47C2316yes—
393C4×D4×C47C2316yes—
394C4×D4×C47C2316yes—
395C4×D4×C47C2313yes—
396C4×D4×C47C2316yes—
397#117×C47C2316yes—
398C2×C4⋊C4×C47C2313yes—
399C2×C4⋊C4×C47C2316yes—
400C2×C42×C47C2313yes—
401C23×D47C2416yes—
402C23×D47C2411yescharacteristic
403#41×C47—28no—
404#41×C47—412no—
405C2×Q8×C47—24no—
406C2×Q8×C47C2411yescharacteristic
407C2×Q8×C47C2413yes—
408C2×Q8×C47C2416yes—
409C2×Q8×C47C2411yescharacteristic
410C2×D4×C47C2413yes—
411C2×D4×C47C2416yes—
412C2×D4×C47C2416yes—
413C2×D4×C47C2416yes—
414C22×C4×C47C2411yescharacteristic
415C22×C4×C47C2413yes—
416C22×C4×C47C2413yes—
417C22×C4×C47C2416yes—
418C22×C4×C47C24112yes—
419C2×C22⋊D47C2416yes—
420C2×C22⋊D47C24112yes—
421C2×C22⋊D47C2416yes—
422C2×C22⋊D47C2416yes—
423C2×C22⋊D47C24112yes—
424C22×Dic47C2411yescharacteristic
425C22×Dic47C2413yes—
426C22×Dic47C2413yes—
427C22×Dic47C2416yes—
428C22×Dic47C24112yes—
429#10625354—28no—
430#10625354—412no—
431Q8×D47—24no—
432Q8×D47—212no—
433Q8×D47—24no—
434Q8×D47—212no—
435Q8×D47—412no—
436Q8×D47#4118yescomplemented
437#10625352—224no—
438#10625352—412no—
439#10625352—424no—
440D4×D47—224no—
441D4×D47—224no—
442D4×D47—212no—
443D4×D47—412no—
444#10625350—224no—
445#10625350—424no—
446#10625350—412no—
447C2×D188C2413yes—
448C2×D188C2416yes—
449C2×D188C2416yes—
450C2×D188C2416yes—
451C2×C4×D47—212no—
452C2×C4×D47—212no—
453C2×C4×D47—224no—
454C2×C4×D47—24no—
455C2×C4×D47—424no—
456C2×C4×D47C2411yescharacteristic
457C2×C4×D47C2411yescharacteristic
458C2×C4×D47C2411yescharacteristic
459C2×C4×D47C2412yes—
460C2×C4×D47C2413yes—
461C2×C4×D47C2413yes—
462C2×C4×D47C2413yes—
463C2×C4×D47C2413yes—
464C2×C4×D47C2413yes—
465C2×C4×D47C2413yes—
466C2×C4×D47C2413yes—
467C2×C4×D47C2416yes—
468C2×C4×D47C2412yes—
469C2×C4×D47C2416yes—
470C2×C4×D47C2416yes—
471C2×C4×D47C24112yes—
472C2×C4×D47C24112yes—
473C2×C4×D47C2413yes—
474C2×C4×D47C2411yescharacteristic
475C2×Dic94—212no—
476C2×Dic94C2412yes—
477C2×Dic94C2411yescharacteristic
478C2×Dic94C2416yes—
479C2×Dic94C2413yes—
480C2×Dic94C2416yes—
481C2×Dic94C24112yes—
482C2×Dic94C2413yes—
483C4⋊C4×C47C2413yes—
484C4⋊C4×C47C2416yes—
485C4⋊C4×C47C2416yes—
486C4⋊C4×C47C2413yes—
487C4⋊C4×C47C2416yes—
488C4⋊C4×C47C2412yes—
489C4⋊C4×C47C2411yescharacteristic
490C4⋊C4×C47C2413yes—
491C4⋊C4×C47C2416yes—
492C4⋊C4×C47C2416yes—
493C22⋊C4×C47C2416yes—
494C22⋊C4×C47C2416yes—
495C22⋊C4×C47C2412yes—
496C22⋊C4×C47C2416yes—
497C22⋊C4×C47C24112yes—
498C22⋊C4×C47C2416yes—
499C42×C47C2413yes—
500C42×C47C2413yes—
501C42×C47C2413yes—
502C42×C47C2413yes—
503C42×C47C2416yes—
504C22⋊Dic47C2416yes—
505C22⋊Dic47C2416yes—
506C22⋊Dic47C2412yes—
507C22⋊Dic47C2416yes—
508C22⋊Dic47C24112yes—
509C22⋊Dic47C2416yes—
510(C2×D47)⋊C4C2416yes—
511(C2×D47)⋊C4C2416yes—
512(C2×D47)⋊C4C2416yes—
513(C2×D47)⋊C4C2416yes—
514(C2×D47)⋊C4C2412yes—
515(C2×D47)⋊C4C2416yes—
516(C2×D47)⋊C4C24112yes—
517(C2×D47)⋊C4C2416yes—
518(C2×D47)⋊C4C2412yes—
519(C2×D47)⋊C4C24112yes—
520(C2×D47)⋊C4C2416yes—
521(C2×D47)⋊C4C2416yes—
522C4⋊Dic47C2413yes—
523C4⋊Dic47C2416yes—
524C4⋊Dic47C2416yes—
525C4⋊Dic47C2413yes—
526C4⋊Dic47C2416yes—
527C4⋊Dic47C2412yes—
528C4⋊Dic47C2411yescharacteristic
529C4⋊Dic47C2413yes—
530C4⋊Dic47C2416yes—
531C4⋊Dic47C2416yes—
532Dic47⋊C4C2416yes—
533Dic47⋊C4C2416yes—
534Dic47⋊C4C2416yes—
535Dic47⋊C4C24112yes—
536Dic47⋊C4C2416yes—
537Dic47⋊C4C2416yes—
538Dic47⋊C4C2416yes—
539Dic47⋊C4C2412yes—
540Dic47⋊C4C2412yes—
541Dic47⋊C4C2412yes—
542Dic47⋊C4C2416yes—
543Dic47⋊C4C2416yes—
544Dic47⋊C4C2416yes—
545Dic47⋊C4C2416yes—
546Dic47⋊C4C2416yes—
547C4×Dic47C2413yes—
548C4×Dic47C2413yes—
549C4×Dic47C2413yes—
550C4×Dic47C2413yes—
551C4×Dic47C2413yes—
552C4×Dic47C2413yes—
553C4×Dic47C2413yes—
554C4×Dic47C2413yes—
555C4×Dic47C2413yes—
556C4×Dic47C2413yes—
557C4×Dic47C2413yes—
558C4×Dic47C2413yes—
559C4×Dic47C2416yes—
560C4×Dic47C2416yes—
561C4×Dic47C2416yes—
562C23×C47C2516yes—
563C23×C47C2511yescharacteristic
564C22×D47—22no—
565C22×D47—22no—
566C22×D47—212no—
567C22×D47—212no—
568C22×D47—212no—
569C22×D47H(5,𝔽2)14yes—
570C22×D47C2516yes—
571C22×D47C2511yescharacteristic
572C22×D47C2511yescharacteristic
573Q8×C47—26no—
574Q8×C47—22no—
575Q8×C47—46no—
576Q8×C47C2×#4114yescomplemented
577D4×C47—212no—
578D4×C47—212no—
579D4×C47—26no—
580D4×C47—46no—
581C2×C4×C47—26no—
582C2×C4×C47—26no—
583C2×C4×C47—212no—
584C2×C4×C47—22no—
585C2×C4×C47—412no—
586C2×C4×C47C2511yescharacteristic
587C2×C4×C47C2512yes—
588C2×C4×C47C2513yes—
589C2×C4×C47C2513yes—
590C2×C4×C47C2513yes—
591C2×C4×C47C2516yes—
592C2×C4×C47C2512yes—
593C2×C4×C47C2513yes—
594C2×C4×C47C2511yescharacteristic
595C22⋊D47—212no—
596C22⋊D47—212no—
597C22⋊D47—224no—
598C22⋊D47—212no—
599C22⋊D47—412no—
600C2×Dic47—26no—
601C2×Dic47—26no—
602C2×Dic47—212no—
603C2×Dic47—22no—
604C2×Dic47—412no—
605C2×Dic47C2511yescharacteristic
606C2×Dic47C2512yes—
607C2×Dic47C2513yes—
608C2×Dic47C2513yes—
609C2×Dic47C2513yes—
610C2×Dic47C2516yes—
611C2×Dic47C2512yes—
612C2×Dic47C2513yes—
613C2×Dic47C2511yescharacteristic
614D188—212no—
615D188—212no—
616D188—26no—
617D188—46no—
618C4×D47—24no—
619C4×D47—26no—
620C4×D47—26no—
621C4×D47—26no—
622C4×D47—26no—
623C4×D47—26no—
624C4×D47—212no—
625C4×D47—22no—
626C4×D47—24no—
627C4×D47—212no—
628C4×D47—26no—
629C4×D47—22no—
630C4×D47—212no—
631C4×D47—26no—
632C4×D47—22no—
633C4×D47—412no—
634C4×D47—412no—
635C4×D47C2×#41112yes—
636C4×D472−1+414yes—
637Dic94—26no—
638Dic94—22no—
639Dic94—212no—
640Dic94—24no—
641Dic94—412no—
642Dic94—46no—
643Dic94C2×#41112yescomplemented
644C2×#3522—471nomaximal, Sylow
645C22×C47—21no—
646C22×C47—21no—
647C22×C47—26no—
648C22×C47—26no—
649C22×C47—26no—
650C22×C47C2×H(5,𝔽2)12yes—
651C22×C47C2611yescharacteristic
652C2×D47—21no—
653C2×D47—21no—
654C2×D47—28no—
655C2×D47—26no—
656C2×D47—26no—
657C2×D47—26no—
658C2×D47—424no—
659C2×D47C22×#4112yes—
660C2×D47C2×H(5,𝔽2)12yes—
661C2×D47C2×H(5,𝔽2)12yes—
662C2×D47C2×2−1+412yes—
663C4×C47—23no—
664C4×C47—22no—
665C4×C47—23no—
666C4×C47—26no—
667C4×C47—23no—
668C4×C47—22no—
669C4×C47—21no—
670C4×C47C22×#4116yes—
671C4×C47C2×2−1+412yes—
672Dic47—23no—
673Dic47—22no—
674Dic47—23no—
675Dic47—26no—
676Dic47—23no—
677Dic47—22no—
678Dic47—21no—
679Dic47C22×#4116yes—
680Dic47C2×2−1+412yes—
681#3522—473no—
682#3522—471no—
683#3522—473no—
684#3522—471no—
685#3522—472no—
686#3522—476no—
687#3522—476no—
688#3522—473no—
689#3522—473no—
690#3522—472no—
691#3522—471no—
692#3522D4711yescharacteristic, direct product factor
693C2×#559—473no—
694C2×Q82—471no—
695C2×#554—473no—
696C2×#550—471no—
697C2×#548—472no—
698C2×#547—476no—
699C2×#542—476no—
700C2×#532—473no—
701C2×#529—473no—
702C2×#520—472no—
703C22×C4×Q8—471no—
704C2×C47—22no—
705C2×C47—46no—
706C2×C47C23×#4111yescharacteristic
707C2×C47C22×H(5,𝔽2)11yescharacteristic
708C2×C47C22×2−1+411yescharacteristic
709D47—22no—
710D47—46no—
711D47#352214yesdirect product factor
712C22×#41—472no—
713C22×#41—476no—
714C23×Q8—471no—
715#559—473no—
716#559—476no—
717#559—476no—
718#559—4712no—
719#559—473no—
720#559—473no—
721#559—476no—
722#559—476no—
723#559C2×D4713yescomplemented
724Q82—476no—
725Q82—473no—
726Q82—472no—
727Q82—471no—
728Q82—473no—
729Q82C2×D4711yescharacteristic, complemented
730#554—473no—
731#554—476no—
732#554—4712no—
733#554—476no—
734#554—473no—
735#554—473no—
736#554—476no—
737#554—476no—
738#554C2×D4713yescomplemented
739#550—472no—
740#550—473no—
741#550—476no—
742#550—471no—
743#550—473no—
744#550C2×D4711yescharacteristic, complemented
745#548—472no—
746#548—472no—
747#548—476no—
748#548—476no—
749#548—476no—
750#548—472no—
751#548—476no—
752#548C2×D4712yescomplemented
753#547—4712no—
754#547—476no—
755#547—4712no—
756#547—4712no—
757#547—4712no—
758#547—476no—
759#547—476no—
760#547—476no—
761#547—476no—
762#547—476no—
763#547—476no—
764#547C2×D4716yescomplemented
765#542—476no—
766#542—4712no—
767#542—4712no—
768#542—476no—
769#542—4712no—
770#542—4712no—
771#542—476no—
772#542—476no—
773#542—476no—
774#542—476no—
775#542—476no—
776#542C2×D4716yescomplemented
777#532—476no—
778#532—473no—
779#532—473no—
780#532—476no—
781#532—476no—
782#532—476no—
783#532—476no—
784#532—476no—
785#532—473no—
786#532C2×D4713yescomplemented
787C2×C4⋊Q8—473no—
788C2×C4⋊Q8—476no—
789C2×#127—473no—
790#529—476no—
791#529—473no—
792#529—473no—
793#529—476no—
794#529—473no—
795#529—473no—
796#529—473no—
797#529—476no—
798#529—473no—
799#529—476no—
800#529—473no—
801#529C2×D4713yescomplemented
802C2×#126—476no—
803C2×#125—473no—
804C2×#124—473no—
805C2×#124—476no—
806C2×#124—476no—
807C2×#123—476no—
808C2×#123—4712no—
809C2×C22⋊Q8—471no—
810C2×C22⋊Q8—4712no—
811C2×C22⋊Q8—476no—
812C2×#121—473no—
813C2×#121—476no—
814C2×#121—476no—
815#520—472no—
816#520—472no—
817#520—472no—
818#520—476no—
819#520—476no—
820#520—476no—
821#520—476no—
822#520C2×D4712yescomplemented
823C2×C4×Q8—471no—
824C2×C4×Q8—471no—
825C2×C4×Q8—473no—
826C2×C4×Q8—471no—
827C2×C4×Q8—473no—
828C2×C4×Q8—471no—
829C2×C4×Q8—473no—
830C2×C4×Q8—471no—
831C2×C4×Q8—473no—
832C2×C4×Q8—472no—
833C2×C4×Q8—473no—
834C2×C4×Q8—473no—
835C2×C4×Q8—473no—
836C2×C4×Q8C2×D4711yescharacteristic, complemented
837C2×C4×D4—476no—
838C2×C4×D4—476no—
839C2×C4×D4—476no—
840C2×C4×D4—473no—
841C2×C4×D4—476no—
842C2×#117—476no—
843C22×C4⋊C4—473no—
844C22×C4⋊C4—476no—
845C22×C42—473no—
846C47C2×#352211yescharacteristic, complemented, Sylow
847C2×#41—472no—
848C2×#41—476no—
849C2×#41—476no—
850C2×#41—4712no—
851C2×#41—476no—
852C2×#41—476no—
853C2×#41—4712no—
854C2×#41—476no—
855C2×#41—9416no—
856C2×#41—18824no—
857C2×#41C22×D4712yes—
858C2×#41C22×D4716yes—
859C22×Q8—471no—
860C22×Q8—471no—
861C22×Q8—473no—
862C22×Q8—473no—
863C22×Q8—471no—
864C22×Q8—476no—
865C22×Q8—473no—
866C22×Q8—948no—
867C22×Q8C22×D4711yescharacteristic
868C22×D4—473no—
869C22×D4—476no—
870C22×D4—476no—
871C22×D4—476no—
872C23×C4—473no—
873C23×C4—476no—
874C23×C4—473no—
875C23×C4—471no—
876C23×C4—4712no—
877C4⋊Q8—476no—
878C4⋊Q8—4712no—
879C4⋊Q8—476no—
880C4⋊Q8—476no—
881C4⋊Q8—4712no—
882C4⋊Q8—476no—
883C4⋊Q8—476no—
884C4⋊Q8—473no—
885C4⋊Q8—476no—
886C4⋊Q8C22×D4713yes—
887C4⋊Q8C22×D4716yes—
888#127—476no—
889#127—476no—
890#127—476no—
891#127—473no—
892#127C22×D4713yes—
893#126—476no—
894#126—476no—
895#126—476no—
896#126—476no—
897#126—476no—
898#126—476no—
899#126—476no—
900#126C22×D4716yes—
901#125—476no—
902#125—476no—
903#125—473no—
904#125—473no—
905#125—473no—
906#125C22×D4713yes—
907#124—473no—
908#124—476no—
909#124—476no—
910#124—473no—
911#124—476no—
912#124—476no—
913#124—476no—
914#124—476no—
915#124—4712no—
916#124—4712no—
917#124—4712no—
918#124—4712no—
919#124—473no—
920#124—476no—
921#124—476no—
922#124C22×D4713yes—
923#124C22×D4716yes—
924#124C22×D4716yes—
925#123—476no—
926#123—4712no—
927#123—476no—
928#123—4712no—
929#123—476no—
930#123—476no—
931#123—4712no—
932#123—4712no—
933#123—476no—
934#123—476no—
935#123—476no—
936#123—4712no—
937#123—4712no—
938#123—4712no—
939#123C22×D4716yes—
940#123C22×D47112yes—
941C22⋊Q8—471no—
942C22⋊Q8—4712no—
943C22⋊Q8—476no—
944C22⋊Q8—471no—
945C22⋊Q8—4712no—
946C22⋊Q8—476no—
947C22⋊Q8—472no—
948C22⋊Q8—471no—
949C22⋊Q8—4712no—
950C22⋊Q8—4712no—
951C22⋊Q8—4712no—
952C22⋊Q8—4712no—
953C22⋊Q8—476no—
954C22⋊Q8—472no—
955C22⋊Q8—4712no—
956C22⋊Q8—4712no—
957C22⋊Q8—4712no—
958C22⋊Q8C22×D4711yescharacteristic
959C22⋊Q8C22×D47112yes—
960C22⋊Q8C22×D4716yes—
961#121—473no—
962#121—476no—
963#121—476no—
964#121—4712no—
965#121—476no—
966#121—4712no—
967#121—473no—
968#121—476no—
969#121—476no—
970#121—473no—
971#121—476no—
972#121—476no—
973#121—476no—
974#121—4712no—
975#121—4712no—
976#121C22×D4713yes—
977#121C22×D4716yes—
978#121C22×D4716yes—
979C4×Q8—471no—
980C4×Q8—473no—
981C4×Q8—471no—
982C4×Q8—473no—
983C4×Q8—472no—
984C4×Q8—473no—
985C4×Q8—473no—
986C4×Q8—476no—
987C4×Q8—473no—
988C4×Q8—473no—
989C4×Q8—476no—
990C4×Q8—473no—
991C4×Q8—476no—
992C4×Q8—476no—
993C4×Q8—473no—
994C4×Q8—473no—
995C4×Q8—476no—
996C4×Q8—473no—
997C4×Q8—473no—
998C4×Q8—473no—
999C4×Q8—476no—
1000C4×Q8—476no—
1001C4×Q8—476no—
1002C4×Q8—473no—
1003C4×Q8C22×D4711yescharacteristic
1004C4×Q8C22×D4713yes—
1005C4×Q8C22×D4711yescharacteristic
1006C4×Q8C22×D4713yes—
1007C4×Q8C22×D4712yes—
1008C4×Q8C22×D4713yes—
1009C4×D4—476no—
1010C4×D4—476no—
1011C4×D4—476no—
1012C4×D4—473no—
1013C4×D4—476no—
1014C4×D4—4712no—
1015C4×D4—4712no—
1016C4×D4—476no—
1017C4×D4—476no—
1018C4×D4—476no—
1019C4×D4—4712no—
1020C4×D4—476no—
1021C4×D4—476no—
1022C4×D4—476no—
1023C4×D4—473no—
1024C4×D4—476no—
1025C4×D4—4712no—
1026C4×D4—4712no—
1027C4×D4—476no—
1028C4×D4—476no—
1029C4×D4—476no—
1030C4×D4—4712no—
1031C4×D4—476no—
1032C4×D4—476no—
1033C4×D4—476no—
1034C4×D4—473no—
1035C4×D4—476no—
1036C4×D4C22×D4716yes—
1037C4×D4C22×D4716yes—
1038C4×D4C22×D4716yes—
1039C4×D4C22×D4713yes—
1040C4×D4C22×D4716yes—
1041#117—476no—
1042#117—476no—
1043#117—476no—
1044#117—476no—
1045#117—476no—
1046#117—476no—
1047#117—476no—
1048#117C22×D4716yes—
1049C2×C4⋊C4—476no—
1050C2×C4⋊C4—473no—
1051C2×C4⋊C4—4712no—
1052C2×C4⋊C4—476no—
1053C2×C4⋊C4—473no—
1054C2×C4⋊C4—476no—
1055C2×C4⋊C4—476no—
1056C2×C4⋊C4—473no—
1057C2×C4⋊C4—476no—
1058C2×C4⋊C4—476no—
1059C2×C4⋊C4—473no—
1060C2×C4⋊C4—473no—
1061C2×C4⋊C4—4712no—
1062C2×C4⋊C4—476no—
1063C2×C4⋊C4—476no—
1064C2×C4⋊C4—472no—
1065C2×C4⋊C4—471no—
1066C2×C4⋊C4—473no—
1067C2×C4⋊C4—476no—
1068C2×C4⋊C4—476no—
1069C2×C4⋊C4C22×D4713yes—
1070C2×C4⋊C4C22×D4716yes—
1071C2×C22⋊C4—476no—
1072C2×C22⋊C4—476no—
1073C2×C22⋊C4—472no—
1074C2×C22⋊C4—476no—
1075C2×C22⋊C4—4712no—
1076C2×C22⋊C4—476no—
1077C2×C42—473no—
1078C2×C42—473no—
1079C2×C42—473no—
1080C2×C42—473no—
1081C2×C42—476no—
1082C2×C42—473no—
1083C2×C42—473no—
1084C2×C42—473no—
1085C2×C42—473no—
1086C2×C42—473no—
1087C2×C42—473no—
1088C2×C42—473no—
1089C2×C42C22×D4713yes—
1090C24—471no—
1091C24—476no—
1092#41—28no—
1093#41—412no—
1094#41—9424no—
1095#41—9424no—
1096#41—948no—
1097#41—18812no—
1098#41—18824no—
1099#41—18824no—
1100#41—18812no—
1101#41—18812no—
1102C2×Q8—24no—
1103C2×Q8—478no—
1104C2×Q8—473no—
1105C2×Q8—472no—
1106C2×Q8—471no—
1107C2×Q8—476no—
1108C2×Q8—473no—
1109C2×Q8—4712no—
1110C2×Q8—476no—
1111C2×Q8—9412no—
1112C2×Q8—944no—
1113C2×Q8—9412no—
1114C2×Q8—9412no—
1115C2×Q8—944no—
1116C2×Q8—18812no—
1117C2×Q8C23×D4711yescharacteristic
1118C2×Q8C23×D4713yes—
1119C2×Q8C23×D4716yes—
1120C2×Q8C23×D4711yescharacteristic
1121C2×D4—476no—
1122C2×D4—4712no—
1123C2×D4—476no—
1124C2×D4—476no—
1125C2×D4—4712no—
1126C2×D4—473no—
1127C2×D4—476no—
1128C2×D4—476no—
1129C2×D4—476no—
1130C2×D4—9412no—
1131C2×D4—9424no—
1132C2×D4—9424no—
1133C2×D4—18812no—
1134C2×D4C23×D4713yes—
1135C2×D4C23×D4716yes—
1136C2×D4C23×D4716yes—
1137C2×D4C23×D4716yes—
1138C22×C4—471no—
1139C22×C4—473no—
1140C22×C4—471no—
1141C22×C4—473no—
1142C22×C4—473no—
1143C22×C4—476no—
1144C22×C4—4712no—
1145C22×C4—471no—
1146C22×C4—471no—
1147C22×C4—471no—
1148C22×C4—472no—
1149C22×C4—473no—
1150C22×C4—473no—
1151C22×C4—473no—
1152C22×C4—473no—
1153C22×C4—473no—
1154C22×C4—473no—
1155C22×C4—473no—
1156C22×C4—476no—
1157C22×C4—472no—
1158C22×C4—476no—
1159C22×C4—476no—
1160C22×C4—4712no—
1161C22×C4—4712no—
1162C22×C4—944no—
1163C22×C4—9412no—
1164C22×C4—9424no—
1165C22×C4—9412no—
1166C22×C4—18824no—
1167C22×C4C23×D4711yescharacteristic
1168C22×C4C23×D4713yes—
1169C22×C4C23×D4713yes—
1170C22×C4C23×D4716yes—
1171C22×C4C23×D47112yes—
1172C4⋊C4—476no—
1173C4⋊C4—476no—
1174C4⋊C4—476no—
1175C4⋊C4—4712no—
1176C4⋊C4—476no—
1177C4⋊C4—476no—
1178C4⋊C4—476no—
1179C4⋊C4—472no—
1180C4⋊C4—472no—
1181C4⋊C4—472no—
1182C4⋊C4—476no—
1183C4⋊C4—476no—
1184C4⋊C4—476no—
1185C4⋊C4—476no—
1186C4⋊C4—476no—
1187C4⋊C4—473no—
1188C4⋊C4—476no—
1189C4⋊C4—476no—
1190C4⋊C4—473no—
1191C4⋊C4—476no—
1192C4⋊C4—472no—
1193C4⋊C4—471no—
1194C4⋊C4—473no—
1195C4⋊C4—476no—
1196C4⋊C4—476no—
1197C4⋊C4C23×D4713yes—
1198C4⋊C4C23×D4716yes—
1199C4⋊C4C23×D4716yes—
1200C4⋊C4C23×D4713yes—
1201C4⋊C4C23×D4716yes—
1202C4⋊C4C23×D4712yes—
1203C4⋊C4C23×D4711yescharacteristic
1204C4⋊C4C23×D4713yes—
1205C4⋊C4C23×D4716yes—
1206C4⋊C4C23×D4716yes—
1207C22⋊C4—476no—
1208C22⋊C4—476no—
1209C22⋊C4—472no—
1210C22⋊C4—476no—
1211C22⋊C4—4712no—
1212C22⋊C4—476no—
1213C22⋊C4—476no—
1214C22⋊C4—476no—
1215C22⋊C4—476no—
1216C22⋊C4—476no—
1217C22⋊C4—472no—
1218C22⋊C4—472no—
1219C22⋊C4—476no—
1220C22⋊C4—476no—
1221C22⋊C4—4712no—
1222C22⋊C4—4712no—
1223C22⋊C4—476no—
1224C22⋊C4—476no—
1225C22⋊C4C23×D4716yes—
1226C22⋊C4C23×D4716yes—
1227C22⋊C4C23×D4712yes—
1228C22⋊C4C23×D4716yes—
1229C22⋊C4C23×D47112yes—
1230C22⋊C4C23×D4716yes—
1231C42—473no—
1232C42—473no—
1233C42—473no—
1234C42—473no—
1235C42—473no—
1236C42—473no—
1237C42—473no—
1238C42—473no—
1239C42—473no—
1240C42—473no—
1241C42—473no—
1242C42—473no—
1243C42—476no—
1244C42—476no—
1245C42—476no—
1246C42C23×D4713yes—
1247C42C23×D4713yes—
1248C42C23×D4713yes—
1249C42C23×D4713yes—
1250C42C23×D4716yes—
1251C23—471no—
1252C23—474no—
1253C23—471no—
1254C23—476no—
1255C23—942no—
1256C23—942no—
1257C23—9412no—
1258C23—9412no—
1259C23—9412no—
1260C23C24×D4716yes—
1261C23C24×D4711yescharacteristic
1262Q8—26no—
1263Q8—22no—
1264Q8—46no—
1265Q8—4712no—
1266Q8—944no—
1267Q8—9412no—
1268Q8—946no—
1269Q8—942no—
1270Q8—1886no—
1271Q8—18812no—
1272Q8#41×D4714yescomplemented
1273D4—212no—
1274D4—212no—
1275D4—26no—
1276D4—46no—
1277D4—9412no—
1278D4—9412no—
1279D4—9424no—
1280D4—9412no—
1281D4—9412no—
1282D4—9412no—
1283D4—946no—
1284D4—1886no—
1285D4—18812no—
1286C2×C4—26no—
1287C2×C4—26no—
1288C2×C4—212no—
1289C2×C4—22no—
1290C2×C4—412no—
1291C2×C4—471no—
1292C2×C4—473no—
1293C2×C4—4712no—
1294C2×C4—474no—
1295C2×C4—471no—
1296C2×C4—472no—
1297C2×C4—473no—
1298C2×C4—473no—
1299C2×C4—473no—
1300C2×C4—476no—
1301C2×C4—472no—
1302C2×C4—942no—
1303C2×C4—946no—
1304C2×C4—9412no—
1305C2×C4—942no—
1306C2×C4—944no—
1307C2×C4—946no—
1308C2×C4—946no—
1309C2×C4—946no—
1310C2×C4—946no—
1311C2×C4—946no—
1312C2×C4—9412no—
1313C2×C4—944no—
1314C2×C4—942no—
1315C2×C4—946no—
1316C2×C4—9412no—
1317C2×C4—946no—
1318C2×C4—946no—
1319C2×C4—9412no—
1320C2×C4—942no—
1321C2×C4—18812no—
1322C2×C4—18812no—
1323C2×C4—18812no—
1324C2×C4C24×D4711yescharacteristic
1325C2×C4C24×D4712yes—
1326C2×C4C24×D4713yes—
1327C2×C4C24×D4713yes—
1328C2×C4C24×D4713yes—
1329C2×C4C24×D4716yes—
1330C2×C4C24×D4712yes—
1331C2×C4C24×D4713yes—
1332C2×C4C24×D4711yescharacteristic
1333C22—21no—
1334C22—21no—
1335C22—26no—
1336C22—26no—
1337C22—26no—
1338C22—472no—
1339C22—472no—
1340C22—472no—
1341C22—472no—
1342C22—948no—
1343C22—941no—
1344C22—941no—
1345C22—946no—
1346C22—946no—
1347C22—946no—
1348C22—18824no—
1349C22H(5,𝔽2)×D4712yes—
1350C22C25×D4711yescharacteristic
1351C4—22no—
1352C4—23no—
1353C4—23no—
1354C4—23no—
1355C4—26no—
1356C4—21no—
1357C4—22no—
1358C4—476no—
1359C4—472no—
1360C4—942no—
1361C4—943no—
1362C4—943no—
1363C4—943no—
1364C4—946no—
1365C4—941no—
1366C4—942no—
1367C4C2×#41×D4716yes—
1368C42−1+4×D4712yes—
1369C2—22no—
1370C2—46no—
1371C2—474no—
1372C2—942no—
1373C2—1886no—
1374C2C22×#41×D4711yescharacteristic
1375C2C2×H(5,𝔽2)×D4711yescharacteristic
1376C2C2×2−1+4×D4711yescharacteristic
subgroupG/H
center, FrattiniC22C25×D47
commutator, socle, cosocleC22×C47C26
FittingC47×#3522C2
hypercenter#3522D47
hypocenterC47C2×#3522
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C22 ◁ #3522

Complements

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

NH ≅ G/Ntype
1. #20257474C2semidirect
2. #20257473C2semidirect
3. #20257472C2semidirect
4. #20257471C2semidirect
5. #20257470C2semidirect
6. #20257469C2semidirect
7. #20257468C2semidirect
8. #20257467C2semidirect
9. #20257466C2semidirect
10. #20257465C2semidirect
11. #20257464C2semidirect
12. #559×D47C2semidirect
13. Q82×D47C2semidirect
14. #554×D47C2semidirect
15. #550×D47C2semidirect
16. #548×D47C2semidirect
17. #547×D47C2semidirect
18. #542×D47C2semidirect
19. #532×D47C2semidirect
20. #529×D47C2semidirect
21. #520×D47C2semidirect
22. C2×C4×Q8×D47C2semidirect
23. C47×#3522C2semidirect
27. #15689859C22semidirect
28. #15689858C22semidirect
29. #15689858C22semidirect
30. #15689857C22semidirect
31. #15689856C22semidirect
32. #15689856C22semidirect
33. #15689855C22semidirect
34. #15689855C22semidirect
35. Q8×Dic94C22semidirect
36. Q8×Dic94C22semidirect
37. Q8×Dic94C22semidirect
38. #15689853C22semidirect
39. #15689853C22semidirect
40. #15689834C22semidirect
41. #15689833C22semidirect
42. #15689832C22semidirect
43. #15689831C22semidirect
44. #15689830C22semidirect
45. #15689829C22semidirect
46. #15689828C22semidirect
47. #15689827C22semidirect
48. #15689795C22semidirect
49. #15689794C22semidirect
50. #15689793C22semidirect
51. #15689792C22semidirect
52. #15689791C22semidirect
53. #15689785C22semidirect
54. #15689784C22semidirect
55. #15689783C22semidirect
56. #15689782C22semidirect
57. #15689781C22semidirect
58. #15689780C22semidirect
59. #15689779C22semidirect
60. #15689778C22semidirect
61. #15689777C22semidirect
62. #15689776C22semidirect
63. #15689775C22semidirect
64. #15689774C22semidirect
65. #15689774C22semidirect
66. #15689773C22semidirect
67. #15689773C22semidirect
68. #15689772C22semidirect
69. #15689771C22semidirect
70. #15689771C22semidirect
71. #15689747C22semidirect
72. #15689746C22semidirect
73. #15689745C22semidirect
74. #15689744C22semidirect
75. #15689743C22semidirect
76. #15689742C22semidirect
77. #15689741C22semidirect
78. #15689740C22semidirect
79. #15689739C22semidirect
80. #15689738C22semidirect
81. #15689737C22semidirect
82. #15689674C22semidirect
83. #15689673C22semidirect
84. #15689672C22semidirect
85. #15689671C22semidirect
86. #15689670C22semidirect
87. #15689670C22semidirect
88. #15689669C22semidirect
89. #15689668C22semidirect
90. #15689668C22semidirect
94. #15689660C22semidirect
95. #15689659C22semidirect
96. #15689658C22semidirect
97. #15689657C22semidirect
98. #15689656C22semidirect
99. #15689655C22semidirect
100. #15689654C22semidirect
101. #15689653C22semidirect
102. #15689652C22semidirect
103. #15689651C22semidirect
104. #15689650C22semidirect
118. #15689606C22semidirect
119. #15689605C22semidirect
120. #15689605C22semidirect
121. #15689604C22semidirect
122. #15689603C22semidirect
123. #15689602C22semidirect
124. #15689602C22semidirect
125. C2×Q8×Dic47C22semidirect
126. C2×C4×Dic94C22semidirect
127. C2×#13093989C22semidirect
134. C4×Q8×D47C22semidirect
135. C4×Q8×D47C22semidirect
136. C4×Q8×D47C22semidirect
137. C4×Q8×D47C22semidirect
147. C47×#559C22semidirect
148. Q82×C47C22semidirect
149. C47×#554C22semidirect
150. C47×#550C22semidirect
151. C47×#548C22semidirect
152. C47×#547C22semidirect
153. C47×#542C22semidirect
154. C47×#532C22semidirect
155. C47×#529C22semidirect
156. C47×#520C22semidirect
157. C2×C4×Q8×C47C22semidirect
436. Q8×D47#41semidirect
576. Q8×C47C2×#41semidirect
643. Dic94C2×#41semidirect
692. #3522D47direct (N × H)
711. D47#3522direct (N × H)
723. #559C2×D47semidirect
729. Q82C2×D47semidirect
738. #554C2×D47semidirect
744. #550C2×D47semidirect
752. #548C2×D47semidirect
764. #547C2×D47semidirect
776. #542C2×D47semidirect
786. #532C2×D47semidirect
801. #529C2×D47semidirect
822. #520C2×D47semidirect
836. C2×C4×Q8C2×D47semidirect
846. C47C2×#3522semidirect
1272. Q8#41×D47semidirect

Maximal subgroups

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

subgroupindex
#202574742
#202574732
#202574722
#202574712
#202574702
#202574692
#202574682
#202574672
#202574662
#202574652
#202574642
#559×D472
Q82×D472
#554×D472
#550×D472
#548×D472
#547×D472
#542×D472
#532×D472
#529×D472
#520×D472
C2×C4×Q8×D472
C47×#35222
C2×#352247