Finite Group Databasebeta

← D47×#3500 #27124742

Subgroups — D47×#3500 #27124742

Order 12032.

11534 conjugacy classes of subgroups.

The subgroup lattice has 1216 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×2−1+4×D47C211yesmaximal, characteristic, complemented
2C2×H(5,𝔽2)×D47C211yesmaximal, characteristic, complemented
3#20257182C211yesmaximal, characteristic, complemented
4#20257181C211yesmaximal, characteristic, complemented
5#20257180C213yesmaximal, complemented
6#20257179C214yesmaximal, complemented
7#20257178C213yesmaximal, complemented
8#20257177C213yesmaximal, complemented
9#20257176C211yesmaximal, characteristic, complemented
10#20257175C213yesmaximal, complemented
11#20257174C2112yesmaximal, complemented
12#548×D47C214yesmaximal, complemented
13#546×D47C2112yesmaximal, complemented
14#536×D47C213yesmaximal, complemented
15#535×D47C213yesmaximal, complemented
16#532×D47C213yesmaximal, complemented
17C2×#124×D47C213yesmaximal, complemented
18C4×#41×D47C211yesmaximal, characteristic, complemented
19C47×#3500C211yesmaximal, characteristic, complemented
20C2×#13094072C2213yescomplemented
21C2×#13094072C2212yescomplemented
22C2×#13094071C2211yescharacteristic, complemented
23C2×#13094071C2216yescomplemented
24C2×#13094071C2213yescomplemented
252−1+4×D47—216no—
26C2×#13094070C2213yescomplemented
27C2×#13094070C2212yescomplemented
28C2×#13094070C2211yescharacteristic, complemented
29C2×#13094069C2216yescomplemented
30C2×#13094069C2213yescomplemented
31H(5,𝔽2)×D47—216no—
32C2×#41×D47C2212yes—
33C2×#41×D47C2213yes—
34C2×#41×D47C2211yescharacteristic
35C2×#41×D47C2216yescomplemented
36C2×#41×D47C2213yescomplemented
37C22×Q8×D47C2212yescomplemented
38C22×Q8×D47C2213yescomplemented
39C22×D4×D47C2216yes—
40C22×D4×D47C2213yes—
41#15689785C2214yescomplemented
42#15689784C2214yescomplemented
43#15689783C22112yescomplemented
44#15689782C22112yescomplemented
45#15689781C22112yescomplemented
46#15689780C2214yescomplemented
47#15689779C22112yescomplemented
48#15689770C22112yescomplemented
49#15689769C22112yescomplemented
50#15689768C22112yescomplemented
51#15689767C22112yescomplemented
52#15689766C22112yescomplemented
53#15689765C22124yescomplemented
54#15689764C22112yescomplemented
55#15689763C22124yescomplemented
56#15689762C22124yescomplemented
57#15689761C22112yescomplemented
58#15689760C22124yescomplemented
59#15689699C2213yescomplemented
60#15689698C2216yescomplemented
61#15689697C2213yescomplemented
62#15689696C22112yescomplemented
63#15689695C22112yescomplemented
64#15689694C2213yescomplemented
65#15689693C2216yescomplemented
66#15689692C2213yescomplemented
67#15689691C2216yescomplemented
68#15689690C2213yescomplemented
69#15689689C22112yescomplemented
70#15689688C22112yescomplemented
71#15689687C2213yescomplemented
72#15689686C2216yescomplemented
73#15689674C2213yescomplemented
74#15689673C2213yescomplemented
75#15689672C2213yescomplemented
76#15689672C2213yescomplemented
77#15689671C2213yescomplemented
78#15689670C22112yescomplemented
79#15689669C2213yescomplemented
80#15689669C2213yescomplemented
81#15689668C22112yescomplemented
82C4⋊Q8×D47C2213yescomplemented
83#127×D47C2213yescomplemented
84C2×#13094013C2213yescomplemented
85C2×#13094012C2213yescomplemented
86C2×#13094011C2213yescomplemented
87C2×#13094010C22112yescomplemented
88#124×D47C22112yescomplemented
89#124×D47C2213yescomplemented
90#124×D47C2216yescomplemented
91#124×D47C2211yescharacteristic, complemented
92#124×D47C22112yescomplemented
93#124×D47C2216yescomplemented
94#124×D47C2216yescomplemented
95#123×D47C22112yescomplemented
96C22⋊Q8×D47C22112yescomplemented
97#121×D47C22112yescomplemented
98#121×D47C22112yescomplemented
99#120×D47C22112yescomplemented
100#41×Dic47C2211yescharacteristic, complemented
101C4×#10625354C2212yescomplemented
102C4×#10625350C2213yescomplemented
103#15689591C2213yescomplemented
104C4×#10625352C2216yescomplemented
105C4×Q8×D47C2212yescomplemented
106C4×D4×D47C2216yescomplemented
107C4×D4×D47C22112yescomplemented
108#117×D47C2213yescomplemented
109C2×C22⋊C4×D47C22112yescomplemented
110C2×C42×D47C2213yescomplemented
111C2×2−1+4×C47C2211yescharacteristic, complemented
112C2×H(5,𝔽2)×C47C2211yescharacteristic, complemented
113C47×#548C2214yescomplemented
114C47×#546C22112yescomplemented
115C47×#536C2213yescomplemented
116C47×#535C2213yescomplemented
117C47×#532C2213yescomplemented
118C2×#124×C47C2213yescomplemented
119C4×#41×C47C2211yescharacteristic, complemented
120C24×D47C2316yes—
121#13094072—216no—
122#13094072—224no—
123#13094071—28no—
124#13094071—248no—
125#13094071—224no—
126#13094070—28no—
127#13094070—216no—
128#13094070—224no—
129#13094069—248no—
130#13094069—224no—
131C2×#10625354C2312yes—
132C2×#10625354C2313yes—
133C2×#10625354C2311yescharacteristic
134C2×#10625354C2316yescomplemented
135C2×#10625354C2313yescomplemented
136C2×#10625350C2316yes—
137C2×#10625350C2313yes—
138C2×#10625350C2316yes—
139C2×#10625350C2313yes—
140C2×#10625350C23112yescomplemented
141C2×#10625350C2316yescomplemented
142C2×#10625350C2313yescomplemented
143C2×#10625350C2316yescomplemented
144C2×#10625352C2316yes—
145C2×#10625352C2316yes—
146C2×#10625352C2313yes—
147C2×#10625352C2313yes—
148C2×#10625352C23112yescomplemented
149C2×#10625352C2316yescomplemented
150C2×#10625352C2316yescomplemented
151C2×#10625352C2313yescomplemented
152#41×D47—216no—
153#41×D47—248no—
154#41×D47—224no—
155#41×D47—224no—
156#41×D47D4116yescomplemented
157C22×Dic94C2316yescomplemented
158C22×Dic94C2316yescomplemented
159C22×Dic94C2313yescomplemented
160C2×Q8×D47—216no—
161C2×Q8×D47—224no—
162C2×Q8×D47C2316yes—
163C2×Q8×D47C2313yes—
164C2×Q8×D47C2311yescharacteristic
165C2×Q8×D47C2311yescharacteristic
166C2×Q8×D47C2312yescomplemented
167C2×Q8×D47C2316yescomplemented
168C2×Q8×D47C2316yescomplemented
169C2×Q8×D47C2316yescomplemented
170C22×D188C2316yes—
171C22×D188C2313yes—
172C22×C22⋊D47C23112yes—
173C22×C22⋊D47C2316yes—
174C2×D4×D47—248no—
175C2×D4×D47—224no—
176C2×D4×D47C2316yes—
177C2×D4×D47C23112yes—
178C2×D4×D47C2316yes—
179C2×D4×D47C2316yes—
180C2×D4×D47C2316yes—
181C2×D4×D47C2316yes—
182C2×D4×D47C2313yes—
183C2×D4×D47C2316yes—
184C2×D4×D47C2316yes—
185C2×D4×D47C2311yescharacteristic
186C2×D4×D47C23112yes—
187C2×D4×D47C2313yes—
188C22×C4×D47C2316yes—
189C22×C4×D47C2316yes—
190C22×C4×D47C2316yes—
191C22×C4×D47C2316yes—
192C22×C4×D47C2313yes—
193#13094024C2313yescomplemented
194#13094023C23112yescomplemented
195#13094022C2313yescomplemented
196#13094022C2313yescomplemented
197#13094021C2313yescomplemented
198#13094020C23112yescomplemented
199#13094020C2313yescomplemented
200#13094020C2313yescomplemented
201#13094013C23112yescomplemented
202#13094013C2313yescomplemented
203#13094013C2316yescomplemented
204#13094013C2311yescharacteristic, complemented
205#13094012C23112yescomplemented
206#13094012C2313yescomplemented
207#13094012C2316yescomplemented
208#13094012C2311yescharacteristic, complemented
209#13094011C23112yescomplemented
210#13094011C2313yescomplemented
211#13094011C2316yescomplemented
212#13094011C2311yescharacteristic, complemented
213#13094010C23124yescomplemented
214#13094010C23124yescomplemented
215#13094010C23112yescomplemented
216#13094010C23124yescomplemented
217#13094010C2314yescomplemented
218#13094009C23124yescomplemented
219#13094008C23112yescomplemented
220#13094007C23112yescomplemented
221#13094006C23124yescomplemented
222#13094005C23112yescomplemented
223#13094004C23112yescomplemented
224#13094003C23112yescomplemented
225#13094002C23124yescomplemented
226#13094001C23124yescomplemented
227#13094000C23112yescomplemented
228#13093999C23112yescomplemented
229#13093999C23112yescomplemented
230#13093998C23112yescomplemented
231#13093998C23112yescomplemented
232#13093997C23112yescomplemented
233#13093997C23112yescomplemented
234#13093997C23124yescomplemented
235#13093996C23112yescomplemented
236#13093996C23124yescomplemented
237#13093996C23112yescomplemented
238#13093995C23112yescomplemented
239#13093995C23112yescomplemented
240#13093994C23124yescomplemented
241#13093994C23112yescomplemented
242#13093993C23112yescomplemented
243#13093992C23124yescomplemented
244#13093992C23112yescomplemented
245Q8×Dic47C2312yescomplemented
246C4×Dic94C2316yescomplemented
247#13093989C2316yescomplemented
248C4×D188C2316yescomplemented
249C4×D188C23112yescomplemented
250D4×Dic47C23112yescomplemented
251D4×Dic47C2316yescomplemented
252#13093986C2316yescomplemented
253#13093986C23112yescomplemented
254C4×C22⋊D47C23112yescomplemented
255C4×C22⋊D47C23112yescomplemented
256C4×C22⋊D47C23112yescomplemented
257(C22⋊D47)⋊C4C23112yescomplemented
258(C22⋊D47)⋊C4C23112yescomplemented
259(C22⋊D47)⋊C4C23112yescomplemented
260#13093983C2313yescomplemented
261#13093982C2316yescomplemented
262#13093981C2316yescomplemented
263#13093980C2316yescomplemented
264C4⋊C4×D47C2316yes—
265C4⋊C4×D47C23112yes—
266C2×C22⋊Dic47C23112yescomplemented
267C2×(C2×D47)⋊C4C23112yescomplemented
268C2×(C2×D47)⋊C4C23112yescomplemented
269C22⋊C4×D47C23112yes—
270C22⋊C4×D47C23124yes—
271C22⋊C4×D47C2316yes—
272C22⋊C4×D47C2314yes—
273C22⋊C4×D47C23124yescomplemented
274C22⋊C4×D47C23124yescomplemented
275C2×C4×Dic47C2316yescomplemented
276C2×C4×Dic47C2313yescomplemented
277C42×D47C2311yescharacteristic
278C42×D47C2313yes—
279C42×D47C2316yes—
280C42×D47C2316yescomplemented
281C42×D47C2313yescomplemented
282C42×D47C2313yescomplemented
2832−1+4×C47—28no—
284H(5,𝔽2)×C47—28no—
285C2×#41×C47C2312yes—
286C2×#41×C47C2313yes—
287C2×#41×C47C2311yescharacteristic
288C2×#41×C47C2316yescomplemented
289C2×#41×C47C2313yescomplemented
290C22×Q8×C47C2312yescomplemented
291C22×Q8×C47C2313yescomplemented
292C22×D4×C47C2316yes—
293C22×D4×C47C2313yes—
294C4⋊Q8×C47C2313yescomplemented
295#127×C47C2313yescomplemented
296#124×C47C23112yescomplemented
297#124×C47C2313yescomplemented
298#124×C47C2316yescomplemented
299#124×C47C2311yescharacteristic, complemented
300#123×C47C23112yescomplemented
301C22⋊Q8×C47C23112yescomplemented
302#121×C47C23112yescomplemented
303#121×C47C23112yescomplemented
304#120×C47C23112yescomplemented
305C4×Q8×C47C2312yescomplemented
306C4×D4×C47C2316yescomplemented
307C4×D4×C47C23112yescomplemented
308#117×C47C2313yescomplemented
309C2×C22⋊C4×C47C23112yescomplemented
310C2×C42×C47C2313yescomplemented
311C24×C47C2416yes—
312C23×D47—224no—
313C23×D47—424no—
314C23×D47C2416yes—
315C23×D47C2412yes—
316C23×D47C2413yes—
317C23×D47C24112yes—
318C23×D47C2416yes—
319#41×C47—28no—
320#41×C47—224no—
321#41×C47—212no—
322#41×C47—212no—
323#41×C47C2×D418yescomplemented
324C2×Q8×C47—28no—
325C2×Q8×C47—212no—
326C2×Q8×C47C2416yes—
327C2×Q8×C47C2413yes—
328C2×Q8×C47C2411yescharacteristic
329C2×Q8×C47C2411yescharacteristic
330C2×D4×C47—224no—
331C2×D4×C47—212no—
332C2×D4×C47C2416yes—
333C2×D4×C47C2416yes—
334C2×D4×C47C2416yes—
335C2×D4×C47C2413yes—
336C2×D4×C47C2411yescharacteristic
337C2×D4×C47C24112yes—
338C2×D4×C47C2413yes—
339C22×C4×C47C2416yes—
340C22×C4×C47C2416yes—
341C22×C4×C47C2416yes—
342C22×C4×C47C2416yes—
343C22×C4×C47C2413yes—
344C2×C22⋊D47—248no—
345C2×C22⋊D47—224no—
346C2×C22⋊D47C2416yes—
347C2×C22⋊D47C2416yes—
348C2×C22⋊D47C2416yes—
349C2×C22⋊D47C24112yes—
350C2×C22⋊D47C2416yes—
351C2×C22⋊D47C2416yes—
352C2×C22⋊D47C2412yes—
353C2×C22⋊D47C24112yes—
354C2×C22⋊D47C24112yes—
355C2×C22⋊D47C2416yes—
356C22×Dic47C2416yes—
357C22×Dic47C2416yes—
358C22×Dic47C2416yes—
359C22×Dic47C2416yes—
360C22×Dic47C2413yes—
361#10625354—28no—
362#10625354—224no—
363#10625354—212no—
364#10625354—212no—
365#10625354C2×D418yescomplemented
366Q8×D47—28no—
367Q8×D47—224no—
368Q8×D47—212no—
369Q8×D47—224no—
370Q8×D47—224no—
371Q8×D47—24no—
372Q8×D47—224no—
373Q8×D47C2×D418yes—
374#10625352—224no—
375#10625352—248no—
376#10625352—224no—
377#10625352—224no—
378#10625352—212no—
379#10625352—212no—
380#10625352—224no—
381#10625352C2×D4124yescomplemented
382D4×D47—224no—
383D4×D47—224no—
384D4×D47—224no—
385D4×D47—248no—
386D4×D47—224no—
387D4×D47—224no—
388D4×D47—212no—
389D4×D47—224no—
390D4×D47—224no—
391D4×D47—24no—
392D4×D47—424no—
393D4×D47C2×D4124yes—
394#10625350—212no—
395#10625350—212no—
396#10625350—248no—
397#10625350—224no—
398#10625350—224no—
399#10625350—224no—
400#10625350—224no—
401#10625350C2×D4124yescomplemented
402C2×D188—212no—
403C2×D188—224no—
404C2×D188C2416yes—
405C2×D188C2416yes—
406C2×D188C2416yes—
407C2×D188C2413yes—
408C2×D188C2411yescharacteristic
409C2×D188C24112yes—
410C2×D188C2413yes—
411C2×C4×D47—224no—
412C2×C4×D47—224no—
413C2×C4×D47—224no—
414C2×C4×D47—412no—
415C2×C4×D47C2×D4124yes—
416C2×C4×D47C2412yes—
417C2×C4×D47C2416yes—
418C2×C4×D47C2416yes—
419C2×C4×D47C2412yes—
420C2×C4×D47C24112yes—
421C2×C4×D47C2416yes—
422C2×C4×D47C2416yes—
423C2×C4×D47C2416yes—
424C2×C4×D47C2416yes—
425C2×C4×D47C2416yes—
426C2×C4×D47C2416yes—
427C2×C4×D47C2411yescharacteristic
428C2×C4×D47C2413yes—
429C2×C4×D47C2413yes—
430C2×C4×D47C2413yes—
431C2×Dic94—212no—
432C2×Dic94—224no—
433C2×Dic94—224no—
434C2×Dic94C24112yes—
435C2×Dic94C2416yes—
436C2×Dic94C2416yes—
437C2×Dic94C2412yes—
438C2×Dic94C2413yes—
439C2×Dic94C2411yescharacteristic
440C2×Dic94C2413yes—
441C4⋊C4×C47C2416yes—
442C4⋊C4×C47C24112yes—
443C22⋊C4×C47C24112yes—
444C22⋊C4×C47C24124yes—
445C22⋊C4×C47C2416yes—
446C22⋊C4×C47C2414yes—
447C42×C47C2411yescharacteristic
448C42×C47C2413yes—
449C42×C47C2416yes—
450C22⋊Dic47C24112yes—
451C22⋊Dic47C24124yes—
452C22⋊Dic47C2416yes—
453C22⋊Dic47C2414yes—
454(C2×D47)⋊C4C24112yes—
455(C2×D47)⋊C4C24112yes—
456(C2×D47)⋊C4C24124yes—
457(C2×D47)⋊C4C24124yes—
458(C2×D47)⋊C4C24112yes—
459(C2×D47)⋊C4C2414yes—
460(C2×D47)⋊C4C2414yes—
461C4⋊Dic47C2416yes—
462C4⋊Dic47C24112yes—
463Dic47⋊C4C24112yes—
464Dic47⋊C4C24112yes—
465Dic47⋊C4C24112yes—
466C4×Dic47C2412yes—
467C4×Dic47C2411yescharacteristic
468C4×Dic47C2416yes—
469C4×Dic47C2413yes—
470C4×Dic47C2416yes—
471C4×Dic47C2416yes—
472C4×Dic47C2416yes—
473C23×C47—212no—
474C23×C47—412no—
475C23×C47C2516yes—
476C23×C47C2512yes—
477C23×C47C2513yes—
478C22×D47—212no—
479C22×D47—212no—
480C22×D47—24no—
481C22×D47—212no—
482C22×D47—28no—
483C22×D47—224no—
484C22×D47—224no—
485C22×D47—424no—
486C22×D47—412no—
487C22×D47—848no—
488C22×D47C22×D4112yes—
489C22×D47C2516yes—
490C22×D47C2512yes—
491C22×D47C2513yes—
492C22×D47C2511yescharacteristic
493Q8×C47—26no—
494Q8×C47—212no—
495Q8×C47—22no—
496Q8×C47C22×D414yes—
497D4×C47—212no—
498D4×C47—212no—
499D4×C47—26no—
500D4×C47—212no—
501D4×C47—22no—
502D4×C47—412no—
503D4×C47C22×D4112yes—
504C2×C4×C47—212no—
505C2×C4×C47—212no—
506C2×C4×C47—212no—
507C2×C4×C47—46no—
508C2×C4×C47C22×D4112yes—
509C2×C4×C47C2512yes—
510C2×C4×C47C2516yes—
511C2×C4×C47C2512yes—
512C2×C4×C47C2516yes—
513C2×C4×C47C2511yescharacteristic
514C2×C4×C47C2513yes—
515C22⋊D47—212no—
516C22⋊D47—212no—
517C22⋊D47—212no—
518C22⋊D47—212no—
519C22⋊D47—24no—
520C22⋊D47—212no—
521C22⋊D47—224no—
522C22⋊D47—412no—
523C22⋊D47—412no—
524C22⋊D47C22×D4124yes—
525C2×Dic47—212no—
526C2×Dic47—212no—
527C2×Dic47—212no—
528C2×Dic47—46no—
529C2×Dic47C22×D4112yes—
530C2×Dic47C2512yes—
531C2×Dic47C2516yes—
532C2×Dic47C2512yes—
533C2×Dic47C2516yes—
534C2×Dic47C2511yescharacteristic
535C2×Dic47C2513yes—
536D188—212no—
537D188—212no—
538D188—26no—
539D188—212no—
540D188—22no—
541D188—412no—
542D188C22×D4112yes—
543C4×D47—24no—
544C4×D47—212no—
545C4×D47—224no—
546C4×D47—24no—
547C4×D47—212no—
548C4×D47—212no—
549C4×D47—212no—
550C4×D47—212no—
551C4×D47—212no—
552C4×D47—46no—
553C4×D47—46no—
554C4×D47C22×D4112yes—
555C4×D47C22×D414yes—
556C4×D47C22×D4112yes—
557C4×D47C22×D4112yes—
558Dic94—26no—
559Dic94—212no—
560Dic94—22no—
561Dic94—212no—
562Dic94—224no—
563Dic94—24no—
564Dic94C22×D4112yes—
565C2×#3500—471nomaximal, Sylow
566C22×C47—26no—
567C22×C47—22no—
568C22×C47—26no—
569C22×C47—24no—
570C22×C47—212no—
571C22×C47—812no—
572C22×C47C23×D416yes—
573C22×C47C2611yescharacteristic
574C2×D47—26no—
575C2×D47—224no—
576C2×D47—22no—
577C2×D47—26no—
578C2×D47—24no—
579C2×D47—212no—
580C2×D47—48no—
581C2×D47—424no—
582C2×D47—824no—
583C2×D47—812no—
584C2×D47C23×D416yes—
585C2×D47C23×D412yes—
586C2×D47#58514yes—
587C4×C47—26no—
588C4×C47—22no—
589C4×C47—22no—
590C4×C47—26no—
591C4×C47C23×D412yes—
592C4×C47C23×D416yes—
593Dic47—26no—
594Dic47—22no—
595Dic47—22no—
596Dic47—26no—
597Dic47C23×D412yes—
598Dic47C23×D416yes—
599C22×2−1+4—471no—
600C22×H(5,𝔽2)—471no—
601#3500—471no—
602#3500—471no—
603#3500—474no—
604#3500—4712no—
605#3500—473no—
606#3500—473no—
607#3500—473no—
608#3500—473no—
609#3500—471no—
610#3500D4711yescharacteristic, direct product factor
611C2×#548—474no—
612C2×#546—4712no—
613C2×#536—473no—
614C2×#535—473no—
615C2×#532—473no—
616C22×#124—473no—
617C2×C4×#41—471no—
618C2×C47—26no—
619C2×C47—46no—
620C2×C47—42no—
621C2×C47C24×D411yescharacteristic
622C2×C47C2×#58512yes—
623D47—26no—
624D47—42no—
625D47—46no—
626D47#350014yesdirect product factor
627C2×2−1+4—471no—
628C2×2−1+4—473no—
629C2×2−1+4—476no—
630C2×2−1+4—472no—
631C2×2−1+4—473no—
632C2×2−1+4—9416no—
633C2×2−1+4C2×D4711yescharacteristic, complemented
634C2×H(5,𝔽2)—472no—
635C2×H(5,𝔽2)—473no—
636C2×H(5,𝔽2)—471no—
637C2×H(5,𝔽2)—476no—
638C2×H(5,𝔽2)—473no—
639C2×H(5,𝔽2)—9416no—
640C2×H(5,𝔽2)C2×D4711yescharacteristic, complemented
641C22×#41—471no—
642C22×#41—473no—
643C22×#41—472no—
644C22×#41—473no—
645C22×#41—476no—
646C23×Q8—473no—
647C23×Q8—472no—
648C23×D4—473no—
649C23×D4—476no—
650#548—474no—
651#548—474no—
652#548—4712no—
653#548—4712no—
654#548—4712no—
655#548—474no—
656#548—4712no—
657#548C2×D4714yescomplemented
658#546—4712no—
659#546—4712no—
660#546—4712no—
661#546—4724no—
662#546—4712no—
663#546—4724no—
664#546—4712no—
665#546—4724no—
666#546—4712no—
667#546—4712no—
668#546—4724no—
669#546C2×D47112yescomplemented
670#536—473no—
671#536—473no—
672#536—476no—
673#536—476no—
674#536—4712no—
675#536—4712no—
676#536—473no—
677#536C2×D4713yescomplemented
678#535—473no—
679#535—473no—
680#535—476no—
681#535—476no—
682#535—4712no—
683#535—4712no—
684#535—473no—
685#535C2×D4713yescomplemented
686#532—473no—
687#532—473no—
688#532—473no—
689#532—473no—
690#532—473no—
691#532—473no—
692#532—4712no—
693#532—4712no—
694#532—473no—
695#532C2×D4713yescomplemented
696C2×C4⋊Q8—473no—
697C2×#127—473no—
698C2×#124—473no—
699C2×#124—473no—
700C2×#124—473no—
701C2×#124—476no—
702C2×#124—4712no—
703C2×#124—476no—
704C2×#124—476no—
705C2×#124—4712no—
706C2×#124—471no—
707C2×#124—4712no—
708C2×#124—473no—
709C2×#124C2×D4713yescomplemented
710C2×#123—4712no—
711C2×C22⋊Q8—4712no—
712C2×#121—4712no—
713C2×#121—4712no—
714C2×#120—4712no—
715C4×#41—471no—
716C4×#41—472no—
717C4×#41—476no—
718C4×#41—473no—
719C4×#41—473no—
720C4×#41C2×D4711yescharacteristic, complemented
721C2×C4×Q8—472no—
722C2×C4×D4—476no—
723C2×C4×D4—4712no—
724C2×#117—473no—
725C22×C22⋊C4—4712no—
726C22×C42—473no—
727C47C2×#350011yescharacteristic, complemented, Sylow
728C25—476no—
7292−1+4—28no—
7302−1+4—9416no—
7312−1+4—9424no—
7322−1+4—9448no—
7332−1+4—9424no—
7342−1+4—948no—
735H(5,𝔽2)—28no—
736H(5,𝔽2)—9448no—
737H(5,𝔽2)—9424no—
738H(5,𝔽2)—9416no—
739H(5,𝔽2)—9424no—
740H(5,𝔽2)—948no—
741C2×#41—4716no—
742C2×#41—471no—
743C2×#41—473no—
744C2×#41—473no—
745C2×#41—476no—
746C2×#41—472no—
747C2×#41—473no—
748C2×#41—476no—
749C2×#41—473no—
750C2×#41—476no—
751C2×#41—473no—
752C2×#41—476no—
753C2×#41—4712no—
754C2×#41—476no—
755C2×#41—473no—
756C2×#41—476no—
757C2×#41—473no—
758C2×#41—476no—
759C2×#41—473no—
760C2×#41—476no—
761C2×#41—4712no—
762C2×#41—476no—
763C2×#41—9424no—
764C2×#41—9424no—
765C2×#41—9448no—
766C2×#41—9416no—
767C2×#41C22×D4713yes—
768C2×#41C22×D4712yes—
769C2×#41C22×D4711yescharacteristic
770C2×#41C22×D4713yescomplemented
771C2×#41C22×D4716yescomplemented
772C22×Q8—471no—
773C22×Q8—476no—
774C22×Q8—473no—
775C22×Q8—476no—
776C22×Q8—476no—
777C22×Q8—471no—
778C22×Q8—476no—
779C22×Q8—472no—
780C22×Q8—476no—
781C22×Q8—473no—
782C22×Q8—476no—
783C22×Q8—9424no—
784C22×Q8—9416no—
785C22×Q8C22×D4713yescomplemented
786C22×Q8C22×D4712yescomplemented
787C22×D4—473no—
788C22×D4—476no—
789C22×D4—4712no—
790C22×D4—476no—
791C22×D4—476no—
792C22×D4—476no—
793C22×D4—473no—
794C22×D4—476no—
795C22×D4—476no—
796C22×D4—471no—
797C22×D4—4712no—
798C22×D4—476no—
799C22×D4—476no—
800C22×D4—4712no—
801C22×D4—473no—
802C22×D4—476no—
803C22×D4—9424no—
804C22×D4—9448no—
805C22×D4C22×D4713yes—
806C22×D4C22×D4716yes—
807C23×C4—473no—
808C23×C4—476no—
809C23×C4—476no—
810C23×C4—476no—
811C23×C4—476no—
812C4⋊Q8—473no—
813C4⋊Q8—473no—
814C4⋊Q8—4712no—
815C4⋊Q8—473no—
816C4⋊Q8C22×D4713yescomplemented
817#127—4712no—
818#127—473no—
819#127—473no—
820#127—473no—
821#127C22×D4713yescomplemented
822#124—473no—
823#124—476no—
824#124—4712no—
825#124—471no—
826#124—473no—
827#124—476no—
828#124—4712no—
829#124—471no—
830#124—4712no—
831#124—4724no—
832#124—4724no—
833#124—4724no—
834#124—474no—
835#124—473no—
836#124—476no—
837#124—4712no—
838#124—471no—
839#124C22×D4713yescomplemented
840#124C22×D4716yescomplemented
841#124C22×D47112yescomplemented
842#124C22×D4711yescharacteristic, complemented
843#123—4712no—
844#123—4712no—
845#123—4724no—
846#123—4724no—
847#123—4712no—
848#123C22×D47112yescomplemented
849C22⋊Q8—4712no—
850C22⋊Q8—4712no—
851C22⋊Q8—4724no—
852C22⋊Q8—4712no—
853C22⋊Q8—4724no—
854C22⋊Q8C22×D47112yescomplemented
855#121—4712no—
856#121—4712no—
857#121—4712no—
858#121—4712no—
859#121—4724no—
860#121—4712no—
861#121—4712no—
862#121—4712no—
863#121—4712no—
864#121—4712no—
865#121—4712no—
866#121—4724no—
867#121C22×D47112yescomplemented
868#121C22×D47112yescomplemented
869#120—4712no—
870#120—4724no—
871#120—4712no—
872#120—4712no—
873#120—4724no—
874#120C22×D47112yescomplemented
875C4×Q8—472no—
876C4×Q8—476no—
877C4×Q8—476no—
878C4×Q8C22×D4712yescomplemented
879C4×D4—476no—
880C4×D4—4712no—
881C4×D4—4712no—
882C4×D4—4712no—
883C4×D4—4712no—
884C4×D4—476no—
885C4×D4—4712no—
886C4×D4—4712no—
887C4×D4—4712no—
888C4×D4—4712no—
889C4×D4—476no—
890C4×D4—4712no—
891C4×D4C22×D4716yescomplemented
892C4×D4C22×D47112yescomplemented
893#117—473no—
894#117—476no—
895#117—476no—
896#117—476no—
897#117C22×D4713yescomplemented
898C2×C4⋊C4—476no—
899C2×C4⋊C4—4712no—
900C2×C22⋊C4—4712no—
901C2×C22⋊C4—4712no—
902C2×C22⋊C4—4712no—
903C2×C22⋊C4—4712no—
904C2×C22⋊C4—4724no—
905C2×C22⋊C4—4724no—
906C2×C22⋊C4—4724no—
907C2×C22⋊C4—476no—
908C2×C22⋊C4—474no—
909C2×C22⋊C4C22×D47112yescomplemented
910C2×C42—476no—
911C2×C42—473no—
912C2×C42—473no—
913C2×C42—476no—
914C2×C42—476no—
915C2×C42—473no—
916C2×C42—473no—
917C2×C42—471no—
918C2×C42C22×D4713yescomplemented
919C24—473no—
920C24—476no—
921C24—472no—
922C24—4712no—
923C24—476no—
924C24—9424no—
925C24—18824no—
926C24C23×D4716yes—
927#41—28no—
928#41—224no—
929#41—212no—
930#41—212no—
931#41—478no—
932#41—4724no—
933#41—4724no—
934#41—9424no—
935#41—9424no—
936#41—9448no—
937#41—9424no—
938#41—9424no—
939#41—9424no—
940#41—9412no—
941#41—9424no—
942#41—9412no—
943#41—9412no—
944#41—9412no—
945#41—9448no—
946#41—9424no—
947#41—9424no—
948#41—948no—
949#41—9424no—
950#41—9412no—
951#41—9412no—
952#41D4×D4718yescomplemented
953C2×Q8—28no—
954C2×Q8—212no—
955C2×Q8—478no—
956C2×Q8—473no—
957C2×Q8—4712no—
958C2×Q8—476no—
959C2×Q8—476no—
960C2×Q8—473no—
961C2×Q8—472no—
962C2×Q8—471no—
963C2×Q8—9424no—
964C2×Q8—9424no—
965C2×Q8—9412no—
966C2×Q8—9424no—
967C2×Q8—9424no—
968C2×Q8—9424no—
969C2×Q8—944no—
970C2×Q8—9424no—
971C2×Q8—948no—
972C2×Q8—9412no—
973C2×Q8C23×D4716yes—
974C2×Q8C23×D4713yes—
975C2×Q8C23×D4711yescharacteristic
976C2×Q8C23×D4711yescharacteristic
977C2×D4—224no—
978C2×D4—212no—
979C2×D4—476no—
980C2×D4—4724no—
981C2×D4—476no—
982C2×D4—476no—
983C2×D4—476no—
984C2×D4—476no—
985C2×D4—4712no—
986C2×D4—476no—
987C2×D4—472no—
988C2×D4—4712no—
989C2×D4—4712no—
990C2×D4—473no—
991C2×D4—476no—
992C2×D4—476no—
993C2×D4—476no—
994C2×D4—473no—
995C2×D4—471no—
996C2×D4—4712no—
997C2×D4—9424no—
998C2×D4—9412no—
999C2×D4—9424no—
1000C2×D4—9424no—
1001C2×D4—9424no—
1002C2×D4—944no—
1003C2×D4—9424no—
1004C2×D4—9448no—
1005C2×D4—9424no—
1006C2×D4—9424no—
1007C2×D4—9424no—
1008C2×D4—9448no—
1009C2×D4—9424no—
1010C2×D4—9412no—
1011C2×D4—18824no—
1012C2×D4C23×D4716yes—
1013C2×D4C23×D4716yes—
1014C2×D4C23×D4716yes—
1015C2×D4C23×D4713yes—
1016C2×D4C23×D4711yescharacteristic
1017C2×D4C23×D47112yes—
1018C2×D4C23×D4713yes—
1019C22×C4—473no—
1020C22×C4—4724no—
1021C22×C4—471no—
1022C22×C4—473no—
1023C22×C4—473no—
1024C22×C4—473no—
1025C22×C4—476no—
1026C22×C4—476no—
1027C22×C4—476no—
1028C22×C4—476no—
1029C22×C4—472no—
1030C22×C4—476no—
1031C22×C4—476no—
1032C22×C4—4712no—
1033C22×C4—472no—
1034C22×C4—476no—
1035C22×C4—476no—
1036C22×C4—476no—
1037C22×C4—476no—
1038C22×C4—476no—
1039C22×C4—476no—
1040C22×C4—9424no—
1041C22×C4—9424no—
1042C22×C4—9424no—
1043C22×C4—18812no—
1044C22×C4C23×D4716yes—
1045C22×C4C23×D4716yes—
1046C22×C4C23×D4716yes—
1047C22×C4C23×D4716yes—
1048C22×C4C23×D4713yes—
1049C4⋊C4—4712no—
1050C4⋊C4—4712no—
1051C4⋊C4—4712no—
1052C4⋊C4—476no—
1053C4⋊C4—4712no—
1054C4⋊C4C23×D4716yes—
1055C4⋊C4C23×D47112yes—
1056C22⋊C4—4712no—
1057C22⋊C4—4724no—
1058C22⋊C4—476no—
1059C22⋊C4—474no—
1060C22⋊C4—4712no—
1061C22⋊C4—4712no—
1062C22⋊C4—4724no—
1063C22⋊C4—4724no—
1064C22⋊C4—4712no—
1065C22⋊C4—474no—
1066C22⋊C4—474no—
1067C22⋊C4C23×D47112yes—
1068C22⋊C4C23×D47124yes—
1069C22⋊C4C23×D4716yes—
1070C22⋊C4C23×D4714yes—
1071C42—472no—
1072C42—471no—
1073C42—476no—
1074C42—473no—
1075C42—476no—
1076C42—476no—
1077C42—476no—
1078C42C23×D4711yescharacteristic
1079C42C23×D4713yes—
1080C42C23×D4716yes—
1081C23—212no—
1082C23—412no—
1083C23—471no—
1084C23—4712no—
1085C23—473no—
1086C23—476no—
1087C23—472no—
1088C23—9412no—
1089C23—9424no—
1090C23—944no—
1091C23—9412no—
1092C23—948no—
1093C23—9424no—
1094C23—9412no—
1095C23—37648no—
1096C23—18812no—
1097C23—18824no—
1098C23C24×D4716yes—
1099C23C24×D4712yes—
1100C23C24×D4713yes—
1101Q8—212no—
1102Q8—26no—
1103Q8—22no—
1104Q8—4712no—
1105Q8—9412no—
1106Q8—9424no—
1107Q8—944no—
1108Q8—9412no—
1109Q8—946no—
1110Q8—942no—
1111Q8C2×D4×D4714yes—
1112D4—212no—
1113D4—212no—
1114D4—212no—
1115D4—26no—
1116D4—22no—
1117D4—412no—
1118D4—4724no—
1119D4—4712no—
1120D4—9412no—
1121D4—9412no—
1122D4—9412no—
1123D4—9424no—
1124D4—944no—
1125D4—9412no—
1126D4—9412no—
1127D4—9412no—
1128D4—9412no—
1129D4—9412no—
1130D4—946no—
1131D4—942no—
1132D4—18812no—
1133D4—18812no—
1134D4—18812no—
1135D4C2×D4×D47112yes—
1136C2×C4—212no—
1137C2×C4—212no—
1138C2×C4—212no—
1139C2×C4—46no—
1140C2×C4—4712no—
1141C2×C4—471no—
1142C2×C4—473no—
1143C2×C4—474no—
1144C2×C4—4712no—
1145C2×C4—4712no—
1146C2×C4—4712no—
1147C2×C4—472no—
1148C2×C4—476no—
1149C2×C4—476no—
1150C2×C4—472no—
1151C2×C4—9412no—
1152C2×C4—9412no—
1153C2×C4—944no—
1154C2×C4—9412no—
1155C2×C4—9424no—
1156C2×C4—944no—
1157C2×C4—9412no—
1158C2×C4—9412no—
1159C2×C4—9412no—
1160C2×C4—9412no—
1161C2×C4—9412no—
1162C2×C4—9412no—
1163C2×C4—1886no—
1164C2×C4—1886no—
1165C2×C4—1886no—
1166C2×C4C2×D4×D47112yes—
1167C2×C4C24×D4712yes—
1168C2×C4C24×D4716yes—
1169C2×C4C24×D4716yes—
1170C2×C4C24×D4712yes—
1171C2×C4C24×D4711yescharacteristic
1172C2×C4C24×D4713yes—
1173C22—26no—
1174C22—22no—
1175C22—26no—
1176C22—24no—
1177C22—212no—
1178C22—812no—
1179C22—472no—
1180C22—474no—
1181C22—476no—
1182C22—9424no—
1183C22—946no—
1184C22—942no—
1185C22—946no—
1186C22—944no—
1187C22—9412no—
1188C22—37612no—
1189C22—37624no—
1190C22—18824no—
1191C22—1888no—
1192C22C22×D4×D4716yes—
1193C22C25×D4711yescharacteristic
1194C4—22no—
1195C4—26no—
1196C4—22no—
1197C4—26no—
1198C4—472no—
1199C4—476no—
1200C4—942no—
1201C4—946no—
1202C4—942no—
1203C4—946no—
1204C4C22×D4×D4716yes—
1205C4C22×D4×D4712yes—
1206C2—26no—
1207C2—46no—
1208C2—42no—
1209C2—474no—
1210C2—946no—
1211C2—1886no—
1212C2—1882no—
1213C2C23×D4×D4711yescharacteristic
1214C2#585×D4712yes—
subgroupG/H
center, FrattiniC22C25×D47
commutator, socle, cosocleC22×C47C26
FittingC47×#3500C2
hypercenter#3500D47
hypocenterC47C2×#3500
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C22 ◁ #3500

Complements

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

NH ≅ G/Ntype
1. C2×2−1+4×D47C2semidirect
2. C2×H(5,𝔽2)×D47C2semidirect
3. #20257182C2semidirect
4. #20257181C2semidirect
5. #20257180C2semidirect
6. #20257179C2semidirect
7. #20257178C2semidirect
8. #20257177C2semidirect
9. #20257176C2semidirect
10. #20257175C2semidirect
11. #20257174C2semidirect
12. #548×D47C2semidirect
13. #546×D47C2semidirect
14. #536×D47C2semidirect
15. #535×D47C2semidirect
16. #532×D47C2semidirect
17. C2×#124×D47C2semidirect
18. C4×#41×D47C2semidirect
19. C47×#3500C2semidirect
20. C2×#13094072C22semidirect
21. C2×#13094072C22semidirect
22. C2×#13094071C22semidirect
23. C2×#13094071C22semidirect
24. C2×#13094071C22semidirect
26. C2×#13094070C22semidirect
27. C2×#13094070C22semidirect
28. C2×#13094070C22semidirect
29. C2×#13094069C22semidirect
30. C2×#13094069C22semidirect
35. C2×#41×D47C22semidirect
36. C2×#41×D47C22semidirect
37. C22×Q8×D47C22semidirect
38. C22×Q8×D47C22semidirect
41. #15689785C22semidirect
42. #15689784C22semidirect
43. #15689783C22semidirect
44. #15689782C22semidirect
45. #15689781C22semidirect
46. #15689780C22semidirect
47. #15689779C22semidirect
48. #15689770C22semidirect
49. #15689769C22semidirect
50. #15689768C22semidirect
51. #15689767C22semidirect
52. #15689766C22semidirect
53. #15689765C22semidirect
54. #15689764C22semidirect
55. #15689763C22semidirect
56. #15689762C22semidirect
57. #15689761C22semidirect
58. #15689760C22semidirect
59. #15689699C22semidirect
60. #15689698C22semidirect
61. #15689697C22semidirect
62. #15689696C22semidirect
63. #15689695C22semidirect
64. #15689694C22semidirect
65. #15689693C22semidirect
66. #15689692C22semidirect
67. #15689691C22semidirect
68. #15689690C22semidirect
69. #15689689C22semidirect
70. #15689688C22semidirect
71. #15689687C22semidirect
72. #15689686C22semidirect
73. #15689674C22semidirect
74. #15689673C22semidirect
75. #15689672C22semidirect
76. #15689672C22semidirect
77. #15689671C22semidirect
78. #15689670C22semidirect
79. #15689669C22semidirect
80. #15689669C22semidirect
81. #15689668C22semidirect
82. C4⋊Q8×D47C22semidirect
83. #127×D47C22semidirect
84. C2×#13094013C22semidirect
85. C2×#13094012C22semidirect
86. C2×#13094011C22semidirect
87. C2×#13094010C22semidirect
88. #124×D47C22semidirect
89. #124×D47C22semidirect
90. #124×D47C22semidirect
91. #124×D47C22semidirect
92. #124×D47C22semidirect
93. #124×D47C22semidirect
94. #124×D47C22semidirect
95. #123×D47C22semidirect
96. C22⋊Q8×D47C22semidirect
97. #121×D47C22semidirect
98. #121×D47C22semidirect
99. #120×D47C22semidirect
100. #41×Dic47C22semidirect
101. C4×#10625354C22semidirect
102. C4×#10625350C22semidirect
103. #15689591C22semidirect
104. C4×#10625352C22semidirect
105. C4×Q8×D47C22semidirect
106. C4×D4×D47C22semidirect
107. C4×D4×D47C22semidirect
108. #117×D47C22semidirect
109. C2×C22⋊C4×D47C22semidirect
110. C2×C42×D47C22semidirect
111. C2×2−1+4×C47C22semidirect
112. C2×H(5,𝔽2)×C47C22semidirect
113. C47×#548C22semidirect
114. C47×#546C22semidirect
115. C47×#536C22semidirect
116. C47×#535C22semidirect
117. C47×#532C22semidirect
118. C2×#124×C47C22semidirect
119. C4×#41×C47C22semidirect
134. C2×#10625354C23semidirect
135. C2×#10625354C23semidirect
140. C2×#10625350C23semidirect
141. C2×#10625350C23semidirect
142. C2×#10625350C23semidirect
143. C2×#10625350C23semidirect
148. C2×#10625352C23semidirect
149. C2×#10625352C23semidirect
150. C2×#10625352C23semidirect
151. C2×#10625352C23semidirect
156. #41×D47D4semidirect
157. C22×Dic94C23semidirect
158. C22×Dic94C23semidirect
159. C22×Dic94C23semidirect
166. C2×Q8×D47C23semidirect
167. C2×Q8×D47C23semidirect
168. C2×Q8×D47C23semidirect
169. C2×Q8×D47C23semidirect
193. #13094024C23semidirect
194. #13094023C23semidirect
195. #13094022C23semidirect
196. #13094022C23semidirect
197. #13094021C23semidirect
198. #13094020C23semidirect
199. #13094020C23semidirect
200. #13094020C23semidirect
201. #13094013C23semidirect
202. #13094013C23semidirect
203. #13094013C23semidirect
204. #13094013C23semidirect
205. #13094012C23semidirect
206. #13094012C23semidirect
207. #13094012C23semidirect
208. #13094012C23semidirect
209. #13094011C23semidirect
210. #13094011C23semidirect
211. #13094011C23semidirect
212. #13094011C23semidirect
213. #13094010C23semidirect
214. #13094010C23semidirect
215. #13094010C23semidirect
216. #13094010C23semidirect
217. #13094010C23semidirect
218. #13094009C23semidirect
219. #13094008C23semidirect
220. #13094007C23semidirect
221. #13094006C23semidirect
222. #13094005C23semidirect
223. #13094004C23semidirect
224. #13094003C23semidirect
225. #13094002C23semidirect
226. #13094001C23semidirect
227. #13094000C23semidirect
228. #13093999C23semidirect
229. #13093999C23semidirect
230. #13093998C23semidirect
231. #13093998C23semidirect
232. #13093997C23semidirect
233. #13093997C23semidirect
234. #13093997C23semidirect
235. #13093996C23semidirect
236. #13093996C23semidirect
237. #13093996C23semidirect
238. #13093995C23semidirect
239. #13093995C23semidirect
240. #13093994C23semidirect
241. #13093994C23semidirect
242. #13093993C23semidirect
243. #13093992C23semidirect
244. #13093992C23semidirect
245. Q8×Dic47C23semidirect
246. C4×Dic94C23semidirect
247. #13093989C23semidirect
248. C4×D188C23semidirect
249. C4×D188C23semidirect
250. D4×Dic47C23semidirect
251. D4×Dic47C23semidirect
252. #13093986C23semidirect
253. #13093986C23semidirect
254. C4×C22⋊D47C23semidirect
255. C4×C22⋊D47C23semidirect
256. C4×C22⋊D47C23semidirect
257. (C22⋊D47)⋊C4C23semidirect
258. (C22⋊D47)⋊C4C23semidirect
259. (C22⋊D47)⋊C4C23semidirect
260. #13093983C23semidirect
261. #13093982C23semidirect
262. #13093981C23semidirect
263. #13093980C23semidirect
266. C2×C22⋊Dic47C23semidirect
267. C2×(C2×D47)⋊C4C23semidirect
268. C2×(C2×D47)⋊C4C23semidirect
273. C22⋊C4×D47C23semidirect
274. C22⋊C4×D47C23semidirect
275. C2×C4×Dic47C23semidirect
276. C2×C4×Dic47C23semidirect
280. C42×D47C23semidirect
281. C42×D47C23semidirect
282. C42×D47C23semidirect
288. C2×#41×C47C23semidirect
289. C2×#41×C47C23semidirect
290. C22×Q8×C47C23semidirect
291. C22×Q8×C47C23semidirect
294. C4⋊Q8×C47C23semidirect
295. #127×C47C23semidirect
296. #124×C47C23semidirect
297. #124×C47C23semidirect
298. #124×C47C23semidirect
299. #124×C47C23semidirect
300. #123×C47C23semidirect
301. C22⋊Q8×C47C23semidirect
302. #121×C47C23semidirect
303. #121×C47C23semidirect
304. #120×C47C23semidirect
305. C4×Q8×C47C23semidirect
306. C4×D4×C47C23semidirect
307. C4×D4×C47C23semidirect
308. #117×C47C23semidirect
309. C2×C22⋊C4×C47C23semidirect
310. C2×C42×C47C23semidirect
323. #41×C47C2×D4semidirect
365. #10625354C2×D4semidirect
381. #10625352C2×D4semidirect
401. #10625350C2×D4semidirect
610. #3500D47direct (N × H)
626. D47#3500direct (N × H)
633. C2×2−1+4C2×D47semidirect
640. C2×H(5,𝔽2)C2×D47semidirect
657. #548C2×D47semidirect
669. #546C2×D47semidirect
677. #536C2×D47semidirect
685. #535C2×D47semidirect
695. #532C2×D47semidirect
709. C2×#124C2×D47semidirect
720. C4×#41C2×D47semidirect
727. C47C2×#3500semidirect
770. C2×#41C22×D47semidirect
771. C2×#41C22×D47semidirect
785. C22×Q8C22×D47semidirect
786. C22×Q8C22×D47semidirect
816. C4⋊Q8C22×D47semidirect
821. #127C22×D47semidirect
839. #124C22×D47semidirect
840. #124C22×D47semidirect
841. #124C22×D47semidirect
842. #124C22×D47semidirect
848. #123C22×D47semidirect
854. C22⋊Q8C22×D47semidirect
867. #121C22×D47semidirect
868. #121C22×D47semidirect
874. #120C22×D47semidirect
878. C4×Q8C22×D47semidirect
891. C4×D4C22×D47semidirect
892. C4×D4C22×D47semidirect
897. #117C22×D47semidirect
909. C2×C22⋊C4C22×D47semidirect
918. C2×C42C22×D47semidirect
952. #41D4×D47semidirect

Maximal subgroups

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

subgroupindex
C2×2−1+4×D472
C2×H(5,𝔽2)×D472
#202571822
#202571812
#202571802
#202571792
#202571782
#202571772
#202571762
#202571752
#202571742
#548×D472
#546×D472
#536×D472
#535×D472
#532×D472
C2×#124×D472
C4×#41×D472
C47×#35002
C2×#350047