Finite Group Databasebeta

← #26376126

Subgroups — #26376126

Order 12032.

3420 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689792C211yesmaximal, characteristic
2C2×#41×Dic47C211yesmaximal, characteristic, complemented
3C2×C4×#10625354C211yesmaximal, characteristic, complemented
4#20246449C213yesmaximal, complemented
5#20246431C213yesmaximal, complemented
6#20246424C213yesmaximal, complemented
7#20246332C213yesmaximal, complemented
8Q8×Dic47⋊C4C211yesmaximal, characteristic, complemented
9#20246226C211yesmaximal, characteristic, complemented
10#20245952C213yesmaximal, complemented
11#20245904C213yesmaximal, complemented
12#20245894C213yesmaximal, complemented
13C4×Q8×Dic47C211yesmaximal, characteristic, complemented
14C4×(C22⋊D47)⋊C4C213yesmaximal, complemented
15C47×#2341C211yesmaximal, characteristic, complemented
16C22×#10625354C2211yescharacteristic
17#15689792C4116yescomplemented
18C2×#13094020C2213yes—
19C2×#13093998C2213yes—
20C2×#13093995C2213yes—
21#41×Dic47—28no—
22C4×#10625354—28no—
23C2×Q8×Dic47C2211yescharacteristic
24C2×Q8×Dic47C2211yescharacteristic
25C2×Q8×Dic47C2211yescharacteristic
26C2×C4×D188C2213yes—
27C2×D4×Dic47C2213yes—
28C2×D4×Dic47C2213yes—
29C2×#13093986C2213yes—
30C2×C4×C22⋊D47C2213yes—
31C2×(C22⋊D47)⋊C4C2213yes—
32C2×(C22⋊D47)⋊C4C2213yes—
33C2×(C22⋊D47)⋊C4C2216yes—
34C2×#13093983C2213yes—
35C2×#13093982C2213yes—
36C22×C4×Dic47C2213yes—
37C2×C42×D47C2213yes—
38#15689025C2213yes—
39#15689024C2213yes—
40#15689023C2216yes—
41#15689023C2216yes—
42#15689021C2213yes—
43#15689019C2213yes—
44#15689017C2216yes—
45#15689012C2216yes—
46#15689000C2216yes—
47#15688999C2216yes—
48#15688992C2213yes—
49#15688980C2213yes—
50C4⋊C4×Dic47C2213yes—
51C4⋊C4×Dic47C2213yes—
52C4×Dic47⋊C4C2213yes—
53C4×C4⋊Dic47C2213yes—
54#15688974C2213yes—
55#15688974C2211yescharacteristic
56C22⋊C4×Dic47C2213yes—
57C22⋊C4×Dic47C2213yes—
58C4×(C2×D47)⋊C4C2213yes—
59#15688970C2213yes—
60#15688970C2213yes—
61C42×Dic47C2213yes—
62C22×#41×C47C2211yescharacteristic
63C2×C4×Q8×C47C2211yescharacteristic
64C2×C4×Q8×C47C2211yescharacteristic
65C47×#390C2213yes—
66C47×#390C2213yes—
67C47×#380C2213yes—
68C4×C22⋊C4×C47C2213yes—
69C2×#10625354—24no—
70C2×#10625354—24no—
71C2×#10625354C2×C418yescomplemented
72C22×D188C2313yes—
73C22×C22⋊D47C2313yes—
74C22×C22⋊D47C2316yes—
75C23×Dic47C2313yes—
76C23×Dic47C2313yes—
77C22×C4×D47C2313yes—
78C22×C4×D47C2313yes—
79C22×C4×D47C2313yes—
80#13094020C2×C4124yescomplemented
81#13093998C2×C4124yescomplemented
82#13093995C2×C4124yescomplemented
83Q8×Dic47—24no—
84Q8×Dic47C2×C418yescomplemented
85Q8×Dic47D418yescomplemented
86C4×D188—212no—
87D4×Dic47—212no—
88D4×Dic47—212no—
89#13093986—212no—
90C4×C22⋊D47C2×C4124yescomplemented
91(C22⋊D47)⋊C4—212no—
92(C22⋊D47)⋊C4—212no—
93(C22⋊D47)⋊C4—412no—
94#13093983—212no—
95#13093982—212no—
96C2×C4⋊Dic47C2313yes—
97C2×C4⋊Dic47C2313yes—
98C2×C4⋊Dic47C2313yes—
99C2×Dic47⋊C4C2313yes—
100C2×Dic47⋊C4C2316yes—
101C2×Dic47⋊C4C2311yescharacteristic
102C2×Dic47⋊C4C2311yescharacteristic
103C2×C22⋊Dic47C2316yes—
104C2×C22⋊Dic47C2313yes—
105C2×(C2×D47)⋊C4C2313yes—
106C2×(C2×D47)⋊C4C2313yes—
107C2×(C2×D47)⋊C4C2316yes—
108C2×(C2×D47)⋊C4C2316yes—
109C2×(C2×D47)⋊C4C2313yes—
110C2×C4×Dic47—212no—
111C2×C4×Dic47C2313yes—
112C2×C4×Dic47C2313yes—
113C2×C4×Dic47C2311yescharacteristic
114C2×C4×Dic47C2313yes—
115C2×C4×Dic47C2313yes—
116C2×C4×Dic47C2311yescharacteristic
117C2×C4×Dic47C2313yes—
118C2×C4×Dic47C2313yes—
119C2×C4×Dic47C2313yes—
120C2×C4×Dic47C2313yes—
121C2×C4×Dic47C2311yescharacteristic
122C42×D47—212no—
123C47⋊#95C2313yes—
124C47⋊#95C2313yes—
125C47⋊#95C2311yescharacteristic
126C47⋊#95C2313yes—
127C47⋊#95C2316yes—
128C2×#41×C47—24no—
129C2×#41×C47—24no—
130C2×#41×C47C2×C418yescomplemented
131C22×Q8×C47C2311yescharacteristic
132C22×D4×C47C2313yes—
133C23×C4×C47C2313yes—
134C4×Q8×C47—24no—
135C4×Q8×C47—24no—
136C2×C4⋊C4×C47C2313yes—
137C2×C4⋊C4×C47C2313yes—
138C2×C22⋊C4×C47C2313yes—
139C2×C22⋊C4×C47C2313yes—
140C2×C22⋊C4×C47C2316yes—
141C2×C42×C47C2313yes—
142C2×C42×C47C2313yes—
143#95×C47C2311yescharacteristic
144#95×C47C2313yes—
145C24×C47C2413yes—
146C23×D47C2413yes—
147#41×C47—232no—
148C2×Q8×C47C22×C414yes—
149C2×Q8×C47C2×D414yes—
150C2×Q8×C47#4114yes—
151C2×D4×C47—26no—
152C2×D4×C47—26no—
153C2×D4×C47C22×C4112yes—
154C22×C4×C47—26no—
155C22×C4×C47—26no—
156C22×C4×C47C22×C4112yes—
157C22×C4×C47C2413yes—
158C22×C4×C47C2413yes—
159C22×C4×C47C2411yescharacteristic
160C22×C4×C47C2411yescharacteristic
161C22×C4×C47C2411yescharacteristic
162C22×C4×C47C2413yes—
163C2×C22⋊D47—26no—
164C2×C22⋊D47—26no—
165C2×C22⋊D47—46no—
166C2×C22⋊D47—46no—
167C2×C22⋊D47C22×C4112yes—
168C2×C22⋊D47C22×C4124yes—
169C22×Dic47—26no—
170C22×Dic47—26no—
171C22×Dic47—26no—
172C22×Dic47—26no—
173C22×Dic47—26no—
174C22×Dic47—43no—
175C22×Dic47C2413yes—
176C22×Dic47C2411yescharacteristic
177C22×Dic47C2413yes—
178C22×Dic47C2413yes—
179C22×Dic47C2411yescharacteristic
180C22×Dic47C2411yescharacteristic
181C22×Dic47C2411yescharacteristic
182#10625354—232no—
183C2×D188—26no—
184C2×D188—26no—
185C2×D188C22×C4112yes—
186C2×C4×D47—26no—
187C2×C4×D47—26no—
188C2×C4×D47—26no—
189C2×C4×D47—26no—
190C2×C4×D47—26no—
191C2×C4×D47—26no—
192C2×C4×D47—26no—
193C2×C4×D47—43no—
194C2×C4×D47C22×C4112yes—
195C4⋊C4×C47—26no—
196C4⋊C4×C47—26no—
197C22⋊C4×C47—26no—
198C22⋊C4×C47—26no—
199C22⋊C4×C47—46no—
200C42×C47—26no—
201C42×C47—26no—
202C22⋊Dic47—212no—
203C22⋊Dic47C22×C4112yes—
204(C2×D47)⋊C4—26no—
205(C2×D47)⋊C4—212no—
206(C2×D47)⋊C4—26no—
207(C2×D47)⋊C4—46no—
208(C2×D47)⋊C4C22×C4112yes—
209C4⋊Dic47—26no—
210C4⋊Dic47C22×C4112yes—
211C4⋊Dic47C2×D4112yes—
212Dic47⋊C4—26no—
213Dic47⋊C4—46no—
214Dic47⋊C4C22×C414yes—
215Dic47⋊C4#4114yescomplemented
216C4×Dic47—26no—
217C4×Dic47—22no—
218C4×Dic47—26no—
219C4×Dic47—22no—
220C4×Dic47—26no—
221C4×Dic47—26no—
222C4×Dic47—26no—
223C4×Dic47—43no—
224C4×Dic47C22×C4112yes—
225C4×Dic47C2×D4112yes—
226C4×Dic47#4114yescomplemented
227C23×C47—23no—
228C23×C47—23no—
229C23×C47—23no—
230C23×C47—23no—
231C23×C47—23no—
232C23×C47—23no—
233C23×C47C23×C416yes—
234C23×C47C2511yescharacteristic
235C22×D47—23no—
236C22×D47—23no—
237C22×D47—23no—
238C22×D47—23no—
239C22×D47—23no—
240C22×D47—23no—
241C22×D47C23×C416yes—
242Q8×C47C4×D4116yescomplemented
243D4×C47—224no—
244C2×C4×C47—21no—
245C2×C4×C47—21no—
246C2×C4×C47—21no—
247C2×C4×C47—21no—
248C2×C4×C47—21no—
249C2×C4×C47—21no—
250C2×C4×C47—224no—
251C2×C4×C47—23no—
252C2×C4×C47—23no—
253C2×C4×C47—23no—
254C2×C4×C47—23no—
255C2×C4×C47—23no—
256C2×C4×C47—23no—
257C2×C4×C47C23×C412yes—
258C2×C4×C47C23×C416yes—
259C2×C4×C47C22×D416yes—
260C2×C4×C47C2×#4112yes—
261C2×C4×C47C2×#4112yes—
262C2×C4×C47C2×#4116yes—
263C22⋊D47—224no—
264C22⋊D47—424no—
265C2×Dic47—21no—
266C2×Dic47—21no—
267C2×Dic47—23no—
268C2×Dic47—21no—
269C2×Dic47—23no—
270C2×Dic47—23no—
271C2×Dic47—23no—
272C2×Dic47—21no—
273C2×Dic47—23no—
274C2×Dic47—23no—
275C2×Dic47—23no—
276C2×Dic47—412no—
277C2×Dic47—412no—
278C2×Dic47C23×C416yes—
279C2×Dic47C23×C412yes—
280C2×Dic47C23×C412yes—
281C2×Dic47C22×D416yes—
282C2×Dic47C22×D412yes—
283C2×Dic47C2×#4112yes—
284C2×Dic47C2×#4112yes—
285C2×Dic47C2×#4112yes—
286C2×Dic47C2×#4112yes—
287C2×Dic47H(5,𝔽2)12yes—
288D188—224no—
289C4×D47—224no—
290C4×D47—412no—
291C4×D47—412no—
292C4×#550—471nomaximal, Sylow
293C22×C47—26no—
294C22×C47—26no—
295C22×C47—26no—
296C22×C47—43no—
297C22×C47—43no—
298C22×C47—43no—
299C22×C47—43no—
300C22×C47C24×C411yescharacteristic
301C22×C47C23×D411yescharacteristic
302C22×C47C22×#4111yescharacteristic
303C22×C47C22×#4111yescharacteristic
304C22×C47C22×#4111yescharacteristic
305C22×C47C2×H(5,𝔽2)11yescharacteristic
306C22×C47#58511yescharacteristic
307C2×D47—26no—
308C2×D47—26no—
309C2×D47—26no—
310C2×D47—43no—
311C2×D47—43no—
312C2×D47—43no—
313C2×D47—43no—
314C4×C47—22no—
315C4×C47—22no—
316C4×C47—22no—
317C4×C47—43no—
318C4×C47—43no—
319C4×C47C2×C4×D4112yes—
320Dic47—22no—
321Dic47—26no—
322Dic47—26no—
323Dic47—22no—
324Dic47—43no—
325Dic47C4×#4114yescomplemented
326Dic47#55014yescomplemented
327C2×#550—471no—
328C2×C4×#41—471no—
329C2×C4×#41—471no—
330#2366—473no—
331#2363—473no—
332#2363—473no—
333#2354—473no—
334Q8×C4⋊C4—471no—
335#2341—471no—
336#2341D4711yescharacteristic, complemented
337C4×#127—473no—
338C4×#121—473no—
339C4×#121—473no—
340C42×Q8—471no—
341C42×D4—473no—
342C2×C47—46no—
343C2×C47C22×C4×D411yescharacteristic
344C2×C47C2×C4×#4111yescharacteristic
345C2×C47C4×H(5,𝔽2)11yescharacteristic
346C2×C47C2×#55011yescharacteristic
347C2×C47D4×#4111yescharacteristic
348C2×C47#348011yescharacteristic
349C2×C47#348311yescharacteristic
350D47—46no—
351C22×#41—471no—
352C22×#41C2×D4711yescharacteristic
353#550—4716no—
354C2×#127—473no—
355C2×#121—473no—
356C2×#121—473no—
357C4×#41—948no—
358C4×#41—948no—
359C2×C4×Q8—471no—
360C2×C4×Q8—471no—
361C2×C4×Q8—471no—
362C2×C4×Q8C2×D4711yescharacteristic
363C2×C4×Q8C2×D4711yescharacteristic
364C2×C4×D4—473no—
365C2×C4×D4—473no—
366C2×C4×D4—473no—
367C2×C4×D4—473no—
368C2×C4×D4—473no—
369C2×C4×D4—473no—
370C2×C4×D4—476no—
371C2×C4×D4—473no—
372C2×#117—473no—
373C2×#117—473no—
374C22×C42—473no—
375C22×C42—473no—
376#390—473no—
377#390—476no—
378#390—476no—
379#390—473no—
380#390C2×D4713yes—
381#390C2×D4713yes—
382#389—473no—
383#389—473no—
384#388—476no—
385#388—476no—
386#386—476no—
387#386—476no—
388#384—473no—
389#380—473no—
390#380C2×D4713yes—
391C4×C4⋊C4—473no—
392C4×C4⋊C4—473no—
393C4×C4⋊C4—473no—
394C4×C4⋊C4—473no—
395C4×C4⋊C4—473no—
396C4×C4⋊C4—471no—
397C4×C22⋊C4—473no—
398C4×C22⋊C4—473no—
399C4×C22⋊C4—473no—
400C4×C22⋊C4—473no—
401C4×C22⋊C4—473no—
402C4×C22⋊C4C2×D4713yes—
403C43—473no—
404C47C4×#55011yescharacteristic, complemented, Sylow
405C2×#41—24no—
406C2×#41—24no—
407C2×#41—478no—
408C2×#41—944no—
409C2×#41—944no—
410C2×#41C4×D4718yescomplemented
411C22×Q8C22×D4711yescharacteristic
412C22×D4—473no—
413C22×D4—476no—
414C22×D4—473no—
415C22×D4C22×D4713yes—
416C23×C4—473no—
417C23×C4—473no—
418C23×C4—473no—
419C23×C4—473no—
420C23×C4—473no—
421C23×C4C22×D4713yes—
422#127—4724no—
423#121—4724no—
424#121—4724no—
425C4×Q8—24no—
426C4×Q8—24no—
427C4×Q8—478no—
428C4×Q8—478no—
429C4×Q8—944no—
430C4×D4—4724no—
431C4×D4—9412no—
432C4×D4—9412no—
433C4×D4—9412no—
434C4×D4—9412no—
435C4×D4—9412no—
436C4×D4—9412no—
437C4×D4—18812no—
438#117—9412no—
439#117—9412no—
440C2×C4⋊C4—473no—
441C2×C4⋊C4—471no—
442C2×C4⋊C4—471no—
443C2×C4⋊C4—473no—
444C2×C4⋊C4—473no—
445C2×C4⋊C4—473no—
446C2×C4⋊C4—476no—
447C2×C4⋊C4C22×D4713yes—
448C2×C4⋊C4C22×D4713yes—
449C2×C22⋊C4—473no—
450C2×C22⋊C4—473no—
451C2×C22⋊C4—476no—
452C2×C22⋊C4—476no—
453C2×C22⋊C4—473no—
454C2×C22⋊C4—473no—
455C2×C22⋊C4—476no—
456C2×C22⋊C4C22×D4713yes—
457C2×C22⋊C4C22×D4713yes—
458C2×C22⋊C4C22×D4716yes—
459C2×C42—471no—
460C2×C42—473no—
461C2×C42—473no—
462C2×C42—473no—
463C2×C42—473no—
464C2×C42—473no—
465C2×C42—473no—
466C2×C42—473no—
467C2×C42—471no—
468C2×C42—471no—
469C2×C42—473no—
470C2×C42—9412no—
471C2×C42—9412no—
472C2×C42C22×D4713yes—
473C2×C42C22×D4713yes—
474#95—471no—
475#95—473no—
476#95—473no—
477#95—473no—
478#95—476no—
479#95C22×D4711yescharacteristic
480#95C22×D4713yes—
481C24—473no—
482C24C23×D4713yes—
483#41—232no—
484#41—9432no—
485C2×Q8C2×C4×D4714yes—
486C2×Q8D4×D4714yes—
487C2×Q8#1062535214yes—
488C2×D4—26no—
489C2×D4—26no—
490C2×D4—4712no—
491C2×D4—4724no—
492C2×D4—4712no—
493C2×D4—946no—
494C2×D4—946no—
495C2×D4—946no—
496C2×D4—946no—
497C2×D4—1886no—
498C2×D4—1886no—
499C2×D4C2×C4×D47112yes—
500C22×C4—26no—
501C22×C4—26no—
502C22×C4—471no—
503C22×C4—471no—
504C22×C4—471no—
505C22×C4—471no—
506C22×C4—473no—
507C22×C4—473no—
508C22×C4—4712no—
509C22×C4—473no—
510C22×C4—946no—
511C22×C4—946no—
512C22×C4—946no—
513C22×C4—946no—
514C22×C4—946no—
515C22×C4—946no—
516C22×C4—946no—
517C22×C4—946no—
518C22×C4—946no—
519C22×C4—946no—
520C22×C4—946no—
521C22×C4—946no—
522C22×C4—1883no—
523C22×C4—1883no—
524C22×C4C2×C4×D47112yes—
525C22×C4C23×D4713yes—
526C22×C4C23×D4713yes—
527C22×C4C23×D4711yescharacteristic
528C22×C4C23×D4711yescharacteristic
529C22×C4C23×D4711yescharacteristic
530C22×C4C23×D4713yes—
531C4⋊C4—26no—
532C4⋊C4—26no—
533C4⋊C4—474no—
534C4⋊C4—4712no—
535C4⋊C4—4712no—
536C4⋊C4—474no—
537C4⋊C4—946no—
538C4⋊C4—946no—
539C4⋊C4—1886no—
540C22⋊C4—26no—
541C22⋊C4—26no—
542C22⋊C4—46no—
543C22⋊C4—4712no—
544C22⋊C4—4712no—
545C22⋊C4—9412no—
546C22⋊C4—946no—
547C22⋊C4—9412no—
548C22⋊C4—946no—
549C22⋊C4—1886no—
550C42—26no—
551C42—26no—
552C42—4712no—
553C42—4712no—
554C42—474no—
555C42—942no—
556C42—942no—
557C42—946no—
558C42—946no—
559C42—946no—
560C42—946no—
561C42—946no—
562C42—1883no—
563C23—23no—
564C23—23no—
565C23—23no—
566C23—23no—
567C23—23no—
568C23—23no—
569C23—476no—
570C23—943no—
571C23—943no—
572C23—943no—
573C23—943no—
574C23—943no—
575C23—943no—
576C23C22×C4×D4716yes—
577C23C24×D4711yescharacteristic
578Q8(C22⋊D47)⋊C4116yescomplemented
579D4—224no—
580D4—9424no—
581D4—9424no—
582D4—18824no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—224no—
590C2×C4—23no—
591C2×C4—23no—
592C2×C4—23no—
593C2×C4—23no—
594C2×C4—23no—
595C2×C4—23no—
596C2×C4—472no—
597C2×C4—472no—
598C2×C4—472no—
599C2×C4—472no—
600C2×C4—472no—
601C2×C4—472no—
602C2×C4—476no—
603C2×C4—472no—
604C2×C4—476no—
605C2×C4—472no—
606C2×C4—941no—
607C2×C4—941no—
608C2×C4—943no—
609C2×C4—941no—
610C2×C4—943no—
611C2×C4—943no—
612C2×C4—943no—
613C2×C4—941no—
614C2×C4—9424no—
615C2×C4—943no—
616C2×C4—943no—
617C2×C4—943no—
618C2×C4—18812no—
619C2×C4—18812no—
620C2×C4—18812no—
621C2×C4—18812no—
622C2×C4C22×C4×D4712yes—
623C2×C4C22×C4×D4716yes—
624C2×C4C2×D4×D4716yes—
625C2×C4#41×D4712yes—
626C2×C4#41×D4712yes—
627C2×C4C2×#1062535216yes—
628C22—26no—
629C22—26no—
630C22—26no—
631C22—43no—
632C22—43no—
633C22—43no—
634C22—43no—
635C22—946no—
636C22—946no—
637C22—946no—
638C22—1883no—
639C22—1883no—
640C22—1883no—
641C22—1883no—
642C22C23×C4×D4711yescharacteristic
643C22C22×D4×D4711yescharacteristic
644C22C2×#41×D4711yescharacteristic
645C22C2×#41×D4711yescharacteristic
646C22C22×#1062535211yescharacteristic
647C22H(5,𝔽2)×D4711yescharacteristic
648C22#1568996011yescharacteristic
649C4—22no—
650C4—22no—
651C4—22no—
652C4—43no—
653C4—43no—
654C4—474no—
655C4—474no—
656C4—942no—
657C4—946no—
658C4—942no—
659C4—946no—
660C4—1883no—
661C4C2×(C22⋊D47)⋊C4112yes—
662C2—46no—
663C2—1886no—
664C2C22×(C22⋊D47)⋊C411yescharacteristic
665C2C4×#41×D4711yescharacteristic
666C2#2025659411yescharacteristic
667C2#550×D4711yescharacteristic
668C2#2025687711yescharacteristic
669C2#2025697811yescharacteristic
670C2#2025701111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
FittingC47×#2341C2
socle, cosocleC23×C47C25
prime radicalC2×#15689792C2
hypercenter#2341D47
hypocenterC47C4×#550
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2341

Complements

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

NH ≅ G/Ntype
2. C2×#41×Dic47C2semidirect
3. C2×C4×#10625354C2semidirect
4. #20246449C2semidirect
5. #20246431C2semidirect
6. #20246424C2semidirect
7. #20246332C2semidirect
8. Q8×Dic47⋊C4C2semidirect
9. #20246226C2semidirect
10. #20245952C2semidirect
11. #20245904C2semidirect
12. #20245894C2semidirect
13. C4×Q8×Dic47C2semidirect
14. C4×(C22⋊D47)⋊C4C2semidirect
15. C47×#2341C2semidirect
17. #15689792C4semidirect
71. C2×#10625354C2×C4semidirect
80. #13094020C2×C4semidirect
81. #13093998C2×C4semidirect
82. #13093995C2×C4semidirect
84. Q8×Dic47C2×C4semidirect
85. Q8×Dic47D4semidirect
90. C4×C22⋊D47C2×C4semidirect
130. C2×#41×C47C2×C4semidirect
215. Dic47⋊C4#41semidirect
226. C4×Dic47#41semidirect
242. Q8×C47C4×D4semidirect
325. Dic47C4×#41semidirect
326. Dic47#550semidirect
336. #2341D47semidirect
404. C47C4×#550semidirect
410. C2×#41C4×D47semidirect
578. Q8(C22⋊D47)⋊C4semidirect

Maximal subgroups

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

subgroupindex
C2×#156897922
C2×#41×Dic472
C2×C4×#106253542
#202464492
#202464312
#202464242
#202463322
Q8×Dic47⋊C42
#202462262
#202459522
#202459042
#202458942
C4×Q8×Dic472
C4×(C22⋊D47)⋊C42
C47×#23412
C4×#55047