Finite Group Databasebeta

← Q8×(C22⋊D47)⋊C4 #26376137

Subgroups — Q8×(C22⋊D47)⋊C4 #26376137

Order 12032.

3148 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×Q8×C22⋊D47C211yesmaximal, characteristic
2C22×Q8×Dic47C211yesmaximal, characteristic, complemented
3C2×C4×Q8×D47C211yesmaximal, characteristic, complemented
4#20246445C213yesmaximal, complemented
5#20246398C213yesmaximal, complemented
6#20246391C213yesmaximal, complemented
7Q8×Dic47⋊C4C211yesmaximal, characteristic, complemented
8#20246284C213yesmaximal
9Q8×(C2×D47)⋊C4C211yesmaximal, characteristic, complemented
10#20245957C213yesmaximal, complemented
11#20245926C213yesmaximal, complemented
12#20245916C213yesmaximal, complemented
13C4×Q8×Dic47C211yesmaximal, characteristic, complemented
14C4×(C22⋊D47)⋊C4C213yesmaximal
15Q8×C22⋊C4×C47C211yesmaximal, characteristic, complemented
16C22×Q8×D47C2211yescharacteristic
17Q8×C22⋊D47C4116yescomplemented
18C2×#13094022C2213yes—
19C2×#13094003C2213yes—
20C2×#13094000C2213yes—
21C2×Q8×Dic47—28no—
22C2×Q8×Dic47C2211yescharacteristic
23C2×Q8×Dic47C2213yes—
24C2×Q8×Dic47C2213yes—
25C2×Q8×Dic47C2211yescharacteristic
26C2×Q8×Dic47C2211yescharacteristic
27C2×C4×Dic94C2213yes—
28C2×#13093989C2213yes—
29C4×Q8×D47—28no—
30C2×C4×C22⋊D47C2213yes—
31C2×(C22⋊D47)⋊C4C2213yes—
32C2×(C22⋊D47)⋊C4C2211yescharacteristic
33C22×C4⋊Dic47C2213yes—
34C2×C4⋊C4×D47C2213yes—
35C22×C4×Dic47C2213yes—
36C2×C42×D47C2213yes—
37#15689029C2213yes—
38#15689028C2213yes—
39#15689021C2213yes—
40#15689020C2216yes—
41#15689020C2216yes—
42#15689019C2213yes—
43#15689010C2216yes—
44#15689005C2216yes—
45#15688997C2216yes—
46#15688995C2216yes—
47#15688992C2213yes—
48#15688980C2213yes—
49C4⋊C4×Dic47C2213yes—
50C4⋊C4×Dic47C2213yes—
51C4×Dic47⋊C4C2213yes—
52C4×C4⋊Dic47C2213yes—
53#15688974C2216yes—
54#15688974C2213yes—
55#15688974C2213yes—
56C22⋊C4×Dic47C2213yes—
57C22⋊C4×Dic47C2213yes—
58C4×(C2×D47)⋊C4C2213yes—
59#15688970C2213yes—
60#15688970C2213yes—
61C42×Dic47C2213yes—
62C23×Q8×C47C2211yescharacteristic
63C2×C4×Q8×C47C2211yescharacteristic
64C2×C4×Q8×C47C2211yescharacteristic
65C47×#391C2213yes—
66C47×#391C2213yes—
67C47×#380C2213yes—
68C4×C22⋊C4×C47C2213yes—
69C22×Dic94C2313yes—
70C2×Q8×D47—24no—
71C2×Q8×D47—24no—
72C2×Q8×D47C2×C418yescomplemented
73C22×C22⋊D47C2311yescharacteristic
74C23×Dic47C2313yes—
75C23×Dic47C2311yescharacteristic
76C22×C4×D47C2313yes—
77C22×C4×D47C2313yes—
78C22×C4×D47C2311yescharacteristic
79#13094022C2×C4124yescomplemented
80#13094003C2×C4124yescomplemented
81#13094000C2×C4124yescomplemented
82Q8×Dic47—24no—
83Q8×Dic47—212no—
84Q8×Dic47—212no—
85Q8×Dic47C2×C418yescomplemented
86Q8×Dic47D418yescomplemented
87C4×Dic94—212no—
88#13093989—212no—
89C4×C22⋊D47C2×C4124yes—
90(C22⋊D47)⋊C4—212no—
91(C22⋊D47)⋊C4Q818yesdirect product factor
92C2×C4⋊Dic47—212no—
93C2×C4⋊Dic47C2313yes—
94C2×C4⋊Dic47C2316yes—
95C2×C4⋊Dic47C2313yes—
96C2×C4⋊Dic47C2313yes—
97C2×Dic47⋊C4C2313yes—
98C2×Dic47⋊C4C2316yes—
99C2×Dic47⋊C4C2316yes—
100C2×Dic47⋊C4C2313yes—
101C2×Dic47⋊C4C2316yes—
102C2×Dic47⋊C4C2311yescharacteristic
103C4⋊C4×D47—212no—
104C2×C22⋊Dic47C2313yes—
105C2×(C2×D47)⋊C4C2313yes—
106C2×(C2×D47)⋊C4C2313yes—
107C2×(C2×D47)⋊C4C2311yescharacteristic
108C2×C4×Dic47—212no—
109C2×C4×Dic47C2313yes—
110C2×C4×Dic47C2313yes—
111C2×C4×Dic47C2313yes—
112C2×C4×Dic47C2313yes—
113C2×C4×Dic47C2313yes—
114C2×C4×Dic47C2313yes—
115C2×C4×Dic47C2313yes—
116C2×C4×Dic47C2313yes—
117C2×C4×Dic47C2313yes—
118C2×C4×Dic47C2313yes—
119C2×C4×Dic47C2311yescharacteristic
120C42×D47—212no—
121C47⋊#95C2313yes—
122C47⋊#95C2313yes—
123C47⋊#95C2313yes—
124C47⋊#95C2313yes—
125C47⋊#95C2316yes—
126C47⋊#95C2316yes—
127C22×Q8×C47—24no—
128C22×Q8×C47—24no—
129C22×Q8×C47C2×C418yescomplemented
130C22×Q8×C47C2313yes—
131C22×Q8×C47C2311yescharacteristic
132C23×C4×C47C2313yes—
133C4×Q8×C47—24no—
134C4×Q8×C47—24no—
135C2×C4⋊C4×C47C2313yes—
136C2×C4⋊C4×C47C2313yes—
137C2×C22⋊C4×C47C2313yes—
138C2×C22⋊C4×C47C2311yescharacteristic
139C2×C42×C47C2313yes—
140C2×C42×C47C2313yes—
141#95×C47C2313yes—
142#95×C47C2313yes—
143#95×C47C2316yes—
144C24×C47C2411yescharacteristic
145C23×D47C2411yescharacteristic
146C2×Q8×C47—232no—
147C2×Q8×C47—26no—
148C2×Q8×C47—26no—
149C2×Q8×C47C22×C4112yes—
150C2×Q8×C47C22×C414yes—
151C2×Q8×C47C2×D414yes—
152C2×Q8×C47#4114yes—
153C22×C4×C47—26no—
154C22×C4×C47—26no—
155C22×C4×C47C22×C4112yes—
156C22×C4×C47C2413yes—
157C22×C4×C47C2413yes—
158C22×C4×C47C2413yes—
159C22×C4×C47C2411yescharacteristic
160C22×C4×C47C2411yescharacteristic
161C22×C4×C47C2413yes—
162C2×C22⋊D47C22×C414yes—
163C2×C22⋊D47C2×Q814yes—
164C2×C22⋊D47#4114yes—
165C22×Dic47—22no—
166C22×Dic47—22no—
167C22×Dic47—26no—
168C22×Dic47—26no—
169C22×Dic47—43no—
170C22×Dic47C2×Q814yescomplemented
171C22×Dic47C2413yes—
172C22×Dic47C2413yes—
173C22×Dic47C2413yes—
174C22×Dic47C2413yes—
175C22×Dic47C2411yescharacteristic
176C22×Dic47C2411yescharacteristic
177C22×Dic47C2411yescharacteristic
178Q8×D47—232no—
179C2×C4×D47—26no—
180C2×C4×D47—26no—
181C2×C4×D47—22no—
182C2×C4×D47—22no—
183C2×C4×D47—26no—
184C2×C4×D47—26no—
185C2×C4×D47—43no—
186C2×C4×D47C22×C4112yes—
187C2×C4×D47C2×Q814yescomplemented
188C2×Dic94—26no—
189C2×Dic94—26no—
190C2×Dic94C22×C4112yes—
191C4⋊C4×C47—26no—
192C4⋊C4×C47—26no—
193C22⋊C4×C47—26no—
194C22⋊C4×C47C2×Q814yescomplemented
195C42×C47—26no—
196C42×C47—26no—
197C22⋊Dic47C22×C4112yes—
198(C2×D47)⋊C4—26no—
199(C2×D47)⋊C4C22×C4112yes—
200(C2×D47)⋊C4C2×Q814yescomplemented
201C4⋊Dic47—26no—
202C4⋊Dic47—212no—
203C4⋊Dic47C22×C4112yes—
204C4⋊Dic47C2×D4112yes—
205Dic47⋊C4—212no—
206Dic47⋊C4—26no—
207Dic47⋊C4—46no—
208Dic47⋊C4C22×C4112yes—
209Dic47⋊C4C22×C4124yes—
210Dic47⋊C4C2×Q814yescomplemented
211C4×Dic47—26no—
212C4×Dic47—26no—
213C4×Dic47—26no—
214C4×Dic47—26no—
215C4×Dic47—26no—
216C4×Dic47—26no—
217C4×Dic47—26no—
218C4×Dic47—43no—
219C4×Dic47C22×C4112yes—
220C4×Dic47C2×D4112yes—
221C4×Dic47C2×Q814yescomplemented
222C23×C47—21no—
223C23×C47—21no—
224C23×C47—21no—
225C23×C47—21no—
226C23×C47C23×C412yes—
227C23×C47C22×Q812yes—
228C23×C47C2×#4112yes—
229C23×C47C2511yescharacteristic
230C22×D47—21no—
231C22×D47—21no—
232C22×D47—21no—
233C22×D47—21no—
234C22×D47C23×C412yes—
235C22×D47C22×Q812yes—
236C22×D47C2×#4112yes—
237Q8×C47—224no—
238Q8×C47C4×D4116yescomplemented
239C2×C4×C47—21no—
240C2×C4×C47—23no—
241C2×C4×C47—21no—
242C2×C4×C47—23no—
243C2×C4×C47—21no—
244C2×C4×C47—21no—
245C2×C4×C47—224no—
246C2×C4×C47—23no—
247C2×C4×C47—23no—
248C2×C4×C47—23no—
249C2×C4×C47—23no—
250C2×C4×C47—23no—
251C2×C4×C47—23no—
252C2×C4×C47C23×C416yes—
253C2×C4×C47C23×C416yes—
254C2×C4×C47C22×D416yes—
255C2×C4×C47C22×Q812yes—
256C2×C4×C47C22×Q812yes—
257C2×C4×C47C2×#4116yes—
258C22⋊D47C4×Q8116yescomplemented
259C2×Dic47—21no—
260C2×Dic47—23no—
261C2×Dic47—23no—
262C2×Dic47—23no—
263C2×Dic47—23no—
264C2×Dic47—21no—
265C2×Dic47—23no—
266C2×Dic47—23no—
267C2×Dic47—28no—
268C2×Dic47—23no—
269C2×Dic47—23no—
270C2×Dic47—23no—
271C2×Dic47—412no—
272C2×Dic47C23×C416yes—
273C2×Dic47C23×C416yes—
274C2×Dic47C23×C412yes—
275C2×Dic47C22×D416yes—
276C2×Dic47C22×D412yes—
277C2×Dic47C22×Q812yes—
278C2×Dic47C22×Q812yes—
279C2×Dic47C22×Q812yes—
280C2×Dic47C2×#4112yes—
281C2×Dic472−1+412yes—
282C4×D47—224no—
283C4×D47—28no—
284C4×D47—412no—
285Dic94—224no—
286C4×D4×Q8—471nomaximal, Sylow
287C22×C47—22no—
288C22×C47—22no—
289C22×C47—22no—
290C22×C47—22no—
291C22×C47—22no—
292C22×C47—22no—
293C22×C47C2×C4×Q814yescomplemented
294C22×C47C24×C411yescharacteristic
295C22×C47C23×D411yescharacteristic
296C22×C47C23×Q811yescharacteristic
297C22×C47C22×#4111yescharacteristic
298C22×C47C22×#4111yescharacteristic
299C22×C47C2×2−1+411yescharacteristic
300C22×C47#58511yescharacteristic
301C2×D47—22no—
302C2×D47—22no—
303C2×D47—22no—
304C2×D47—22no—
305C2×D47—22no—
306C2×D47—22no—
307C2×D47C2×C4×Q814yescomplemented
308C4×C47—26no—
309C4×C47—22no—
310C4×C47—22no—
311C4×C47—43no—
312C4×C47—43no—
313C4×C47C2×C4×D4112yes—
314Dic47—26no—
315Dic47—26no—
316Dic47—22no—
317Dic47—26no—
318Dic47—43no—
319Dic47C2×C4×Q814yescomplemented
320Dic47D4×Q814yescomplemented
321C2×D4×Q8—471no—
322C22×C4×Q8—471no—
323C22×C4×Q8—471no—
324#2365—473no—
325#2360—473no—
326#2360—473no—
327Q8×C4⋊C4—471no—
328D4×C4⋊C4—473no—
329Q8×C22⋊C4—471no—
330Q8×C22⋊C4D4711yescharacteristic, complemented
331C4×C4⋊Q8—473no—
332C4×C22⋊Q8—473no—
333C4×C22⋊Q8—473no—
334C42×Q8—471no—
335C42×D4—473no—
336C2×C47—24no—
337C2×C47C22×C4×D411yescharacteristic
338C2×C47C22×C4×Q811yescharacteristic
339C2×C47C4×2−1+411yescharacteristic
340C2×C47C2×D4×Q811yescharacteristic
341C2×C47D4×#4111yescharacteristic
342C2×C47Q8×#4111yescharacteristic
343C2×C47#348211yescharacteristic
344D47—24no—
345C23×Q8—471no—
346C23×Q8C2×D4711yescharacteristic
347D4×Q8—4716no—
348C2×C4⋊Q8—473no—
349C2×C22⋊Q8—473no—
350C2×C22⋊Q8—473no—
351C2×C4×Q8—471no—
352C2×C4×Q8—471no—
353C2×C4×Q8—473no—
354C2×C4×Q8—471no—
355C2×C4×Q8—473no—
356C2×C4×Q8—473no—
357C2×C4×Q8—473no—
358C2×C4×Q8—948no—
359C2×C4×Q8—948no—
360C2×C4×Q8C2×D4711yescharacteristic
361C2×C4×Q8C2×D4711yescharacteristic
362C2×C4×D4—473no—
363C2×C4×D4—471no—
364C2×C4×D4—473no—
365C22×C4⋊C4—473no—
366C22×C4⋊C4—473no—
367C22×C42—473no—
368C22×C42—473no—
369#391—473no—
370#391—473no—
371#391C2×D4713yes—
372#391C2×D4713yes—
373#389—473no—
374#389—473no—
375#389—476no—
376#389—476no—
377#387—476no—
378#387—476no—
379#385—476no—
380#385—476no—
381#384—473no—
382#380—473no—
383#380C2×D4713yes—
384C4×C4⋊C4—473no—
385C4×C4⋊C4—473no—
386C4×C4⋊C4—473no—
387C4×C4⋊C4—473no—
388C4×C4⋊C4—473no—
389C4×C4⋊C4—476no—
390C4×C4⋊C4—473no—
391C4×C22⋊C4—473no—
392C4×C22⋊C4—473no—
393C4×C22⋊C4—473no—
394C4×C22⋊C4—473no—
395C4×C22⋊C4—473no—
396C4×C22⋊C4C2×D4713yes—
397C43—473no—
398C47C4×D4×Q811yescharacteristic, complemented, Sylow
399C22×Q8—24no—
400C22×Q8—24no—
401C22×Q8—478no—
402C22×Q8—473no—
403C22×Q8—944no—
404C22×Q8—944no—
405C22×Q8C4×D4718yescomplemented
406C22×Q8C22×D4713yes—
407C22×Q8C22×D4711yescharacteristic
408C22×D4—471no—
409C23×C4—471no—
410C23×C4—473no—
411C23×C4—471no—
412C23×C4—473no—
413C23×C4—473no—
414C23×C4C22×D4713yes—
415C4⋊Q8—4724no—
416C22⋊Q8—4724no—
417C22⋊Q8—4724no—
418C4×Q8—24no—
419C4×Q8—24no—
420C4×Q8—478no—
421C4×Q8—478no—
422C4×Q8—9412no—
423C4×Q8—9412no—
424C4×Q8—9412no—
425C4×Q8—9412no—
426C4×Q8—944no—
427C4×D4—4724no—
428C4×D4—478no—
429C4×D4—9412no—
430C2×C4⋊C4—473no—
431C2×C4⋊C4—473no—
432C2×C4⋊C4—471no—
433C2×C4⋊C4—473no—
434C2×C4⋊C4—476no—
435C2×C4⋊C4—476no—
436C2×C4⋊C4—473no—
437C2×C4⋊C4—476no—
438C2×C4⋊C4—473no—
439C2×C4⋊C4—476no—
440C2×C4⋊C4—9412no—
441C2×C4⋊C4—9412no—
442C2×C4⋊C4C22×D4713yes—
443C2×C4⋊C4C22×D4713yes—
444C2×C22⋊C4—473no—
445C2×C22⋊C4—473no—
446C2×C22⋊C4—471no—
447C2×C22⋊C4—473no—
448C2×C22⋊C4C22×D4713yes—
449C2×C22⋊C4C22×D4711yescharacteristic
450C2×C42—473no—
451C2×C42—471no—
452C2×C42—473no—
453C2×C42—473no—
454C2×C42—473no—
455C2×C42—473no—
456C2×C42—473no—
457C2×C42—473no—
458C2×C42—473no—
459C2×C42—473no—
460C2×C42—473no—
461C2×C42—9412no—
462C2×C42—9412no—
463C2×C42C22×D4713yes—
464C2×C42C22×D4713yes—
465#95—473no—
466#95—473no—
467#95—473no—
468#95—473no—
469#95—476no—
470#95—476no—
471#95C22×D4713yes—
472#95C22×D4713yes—
473#95C22×D4716yes—
474C24—471no—
475C24C23×D4711yescharacteristic
476C2×Q8—232no—
477C2×Q8—26no—
478C2×Q8—26no—
479C2×Q8—4712no—
480C2×Q8—9432no—
481C2×Q8—946no—
482C2×Q8—946no—
483C2×Q8C2×C4×D47112yes—
484C2×Q8C2×C4×D4714yes—
485C2×Q8D4×D4714yes—
486C2×Q8#1062535214yes—
487C2×D4—474no—
488C2×D4—474no—
489C2×D4—474no—
490C22×C4—26no—
491C22×C4—26no—
492C22×C4—471no—
493C22×C4—471no—
494C22×C4—474no—
495C22×C4—471no—
496C22×C4—473no—
497C22×C4—473no—
498C22×C4—473no—
499C22×C4—4712no—
500C22×C4—474no—
501C22×C4—473no—
502C22×C4—942no—
503C22×C4—942no—
504C22×C4—946no—
505C22×C4—946no—
506C22×C4—942no—
507C22×C4—942no—
508C22×C4—946no—
509C22×C4—946no—
510C22×C4—946no—
511C22×C4—946no—
512C22×C4—1883no—
513C22×C4—1883no—
514C22×C4C2×C4×D47112yes—
515C22×C4C23×D4713yes—
516C22×C4C23×D4713yes—
517C22×C4C23×D4713yes—
518C22×C4C23×D4711yescharacteristic
519C22×C4C23×D4711yescharacteristic
520C22×C4C23×D4713yes—
521C4⋊C4—26no—
522C4⋊C4—26no—
523C4⋊C4—4712no—
524C4⋊C4—4724no—
525C4⋊C4—4712no—
526C4⋊C4—4712no—
527C4⋊C4—474no—
528C4⋊C4—9412no—
529C4⋊C4—946no—
530C4⋊C4—9412no—
531C4⋊C4—946no—
532C4⋊C4—1886no—
533C22⋊C4—26no—
534C22⋊C4—4712no—
535C22⋊C4—4712no—
536C22⋊C4—474no—
537C22⋊C4—946no—
538C22⋊C4Q8×D4714yescomplemented
539C42—26no—
540C42—26no—
541C42—4712no—
542C42—4712no—
543C42—474no—
544C42—946no—
545C42—946no—
546C42—946no—
547C42—946no—
548C42—946no—
549C42—946no—
550C42—946no—
551C42—1883no—
552C23—21no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—472no—
557C23—472no—
558C23—472no—
559C23—941no—
560C23—941no—
561C23—941no—
562C23—941no—
563C23C22×C4×D4712yes—
564C23C2×Q8×D4712yes—
565C23#41×D4712yes—
566C23C24×D4711yescharacteristic
567Q8—224no—
568Q8—9424no—
569Q8(C22⋊D47)⋊C4116yesdirect product factor
570D4—4716no—
571C2×C4—21no—
572C2×C4—23no—
573C2×C4—21no—
574C2×C4—23no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—224no—
578C2×C4—23no—
579C2×C4—23no—
580C2×C4—23no—
581C2×C4—23no—
582C2×C4—23no—
583C2×C4—23no—
584C2×C4—472no—
585C2×C4—472no—
586C2×C4—472no—
587C2×C4—472no—
588C2×C4—472no—
589C2×C4—472no—
590C2×C4—476no—
591C2×C4—476no—
592C2×C4—476no—
593C2×C4—472no—
594C2×C4—948no—
595C2×C4—948no—
596C2×C4—941no—
597C2×C4—943no—
598C2×C4—943no—
599C2×C4—943no—
600C2×C4—943no—
601C2×C4—941no—
602C2×C4—943no—
603C2×C4—943no—
604C2×C4—9424no—
605C2×C4—943no—
606C2×C4—943no—
607C2×C4—943no—
608C2×C4—18812no—
609C2×C4—18812no—
610C2×C4C22×C4×D4716yes—
611C2×C4C22×C4×D4716yes—
612C2×C4C2×D4×D4716yes—
613C2×C4C2×Q8×D4712yes—
614C2×C4C2×Q8×D4712yes—
615C2×C4C2×#1062535216yes—
616C22—22no—
617C22—22no—
618C22—22no—
619C22—22no—
620C22—22no—
621C22—22no—
622C22—474no—
623C22—942no—
624C22—942no—
625C22—942no—
626C22—942no—
627C22—942no—
628C22—942no—
629C22C4×Q8×D4714yescomplemented
630C22C23×C4×D4711yescharacteristic
631C22C22×D4×D4711yescharacteristic
632C22C22×Q8×D4711yescharacteristic
633C22C2×#41×D4711yescharacteristic
634C22C22×#1062535211yescharacteristic
635C222−1+4×D4711yescharacteristic
636C22#1568996011yescharacteristic
637C4—26no—
638C4—22no—
639C4—22no—
640C4—43no—
641C4—43no—
642C4—474no—
643C4—474no—
644C4—946no—
645C4—946no—
646C4—942no—
647C4—946no—
648C4—1883no—
649C4C2×(C22⋊D47)⋊C4112yes—
650C2—24no—
651C2—944no—
652C2C22×(C22⋊D47)⋊C411yescharacteristic
653C2C2×C4×Q8×D4711yescharacteristic
654C2#2025659711yescharacteristic
655C2D4×Q8×D4711yescharacteristic
656C2#2025687711yescharacteristic
657C2Q8×#1062535211yescharacteristic
658C2#2025700411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
FittingQ8×C22⋊C4×C47C2
socle, cosocleC23×C47C25
prime radicalC22×C22⋊D47C23
hypercenterQ8×C22⋊C4D47
hypocenterC47C4×D4×Q8
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ Q8×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C22×Q8×Dic47C2semidirect
3. C2×C4×Q8×D47C2semidirect
4. #20246445C2semidirect
5. #20246398C2semidirect
6. #20246391C2semidirect
7. Q8×Dic47⋊C4C2semidirect
9. Q8×(C2×D47)⋊C4C2semidirect
10. #20245957C2semidirect
11. #20245926C2semidirect
12. #20245916C2semidirect
13. C4×Q8×Dic47C2semidirect
15. Q8×C22⋊C4×C47C2semidirect
17. Q8×C22⋊D47C4semidirect
72. C2×Q8×D47C2×C4semidirect
79. #13094022C2×C4semidirect
80. #13094003C2×C4semidirect
81. #13094000C2×C4semidirect
85. Q8×Dic47C2×C4semidirect
86. Q8×Dic47D4semidirect
91. (C22⋊D47)⋊C4Q8direct (N × H)
129. C22×Q8×C47C2×C4semidirect
170. C22×Dic47C2×Q8semidirect
187. C2×C4×D47C2×Q8semidirect
194. C22⋊C4×C47C2×Q8semidirect
200. (C2×D47)⋊C4C2×Q8semidirect
210. Dic47⋊C4C2×Q8semidirect
221. C4×Dic47C2×Q8semidirect
238. Q8×C47C4×D4semidirect
258. C22⋊D47C4×Q8semidirect
293. C22×C47C2×C4×Q8semidirect
307. C2×D47C2×C4×Q8semidirect
319. Dic47C2×C4×Q8semidirect
320. Dic47D4×Q8semidirect
330. Q8×C22⋊C4D47semidirect
398. C47C4×D4×Q8semidirect
405. C22×Q8C4×D47semidirect
538. C22⋊C4Q8×D47semidirect
569. Q8(C22⋊D47)⋊C4direct (N × H)
629. C22C4×Q8×D47semidirect

Maximal subgroups

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

subgroupindex
C2×Q8×C22⋊D472
C22×Q8×Dic472
C2×C4×Q8×D472
#202464452
#202463982
#202463912
Q8×Dic47⋊C42
#202462842
Q8×(C2×D47)⋊C42
#202459572
#202459262
#202459162
C4×Q8×Dic472
C4×(C22⋊D47)⋊C42
Q8×C22⋊C4×C472
C4×D4×Q847