Finite Group Databasebeta

← C4×#15689792 #26376129

Subgroups — C4×#15689792 #26376129

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×C4×#10625354C211yesmaximal, characteristic, complemented
3#20246450C213yesmaximal, complemented
4#20246426C213yesmaximal, complemented
5#20246422C213yesmaximal, complemented
6#20246338C213yesmaximal, complemented
7Q8×Dic47⋊C4C211yesmaximal, characteristic, complemented
8#20246229C211yesmaximal, characteristic, complemented
9#20246226C211yesmaximal, characteristic, complemented
10C4×#13094020C213yesmaximal, complemented
11C4×#13093998C213yesmaximal, complemented
12C4×#13093995C213yesmaximal, complemented
13C4×Q8×Dic47C211yesmaximal, characteristic, complemented
14C42×C22⋊D47C213yesmaximal, complemented
15C2×C4×#41×C47C211yesmaximal, characteristic, complemented
16C22×#10625354C2211yescharacteristic
17#15689792C4116yesdirect product factor
18C2×#13094020C2213yes—
19C2×#13093998C2213yes—
20C2×#13093995C2213yes—
21C4×#10625354—28no—
22C2×Q8×Dic47C2211yescharacteristic
23C2×Q8×Dic47C2211yescharacteristic
24C2×Q8×Dic47C2211yescharacteristic
25C2×C4×D188C2213yes—
26C2×#13093986C2213yes—
27C2×C4×C22⋊D47C2213yes—
28C2×C4×C22⋊D47C2213yes—
29C2×C4×C22⋊D47C2216yes—
30C2×C4×C22⋊D47C2213yes—
31C2×#13093982C2213yes—
32C2×C42×D47C2213yes—
33#15689026C2213yes—
34#15689026C2213yes—
35#15689025C2213yes—
36#15689024C2213yes—
37#15689023C2216yes—
38#15689023C2216yes—
39#15689021C2213yes—
40#15689019C2213yes—
41#15689014C2216yes—
42#15689011C2216yes—
43#15689002C2216yes—
44#15688999C2216yes—
45#15688992C2213yes—
46#15688983C2213yes—
47#15688980C2213yes—
48C4⋊C4×Dic47C2213yes—
49C4⋊C4×Dic47C2213yes—
50C4×Dic47⋊C4C2213yes—
51C4×Dic47⋊C4C2213yes—
52C4×Dic47⋊C4C2211yescharacteristic
53C4×C4⋊Dic47C2213yes—
54C4×(C2×D47)⋊C4C2213yes—
55C4×(C2×D47)⋊C4C2213yes—
56C4×(C2×D47)⋊C4C2213yes—
57C4×C22⋊Dic47C2213yes—
58C4×C22⋊Dic47C2213yes—
59C4×C22⋊Dic47C2213yes—
60C42×Dic47C2213yes—
61C22×#41×C47C2211yescharacteristic
62C4×#41×C47—28no—
63C2×C4×Q8×C47C2211yescharacteristic
64C2×C4×Q8×C47C2211yescharacteristic
65C2×C4×D4×C47C2213yes—
66C2×C4×D4×C47C2213yes—
67C2×#117×C47C2213yes—
68C22×C42×C47C2213yes—
69C2×#10625354—24no—
70C2×#10625354—24no—
71C2×#10625354C2×C418yescomplemented
72C22×D188C2313yes—
73C22×C22⋊D47C2313yes—
74C22×C22⋊D47C2316yes—
75C22×C4×D47C2313yes—
76C22×C4×D47C2313yes—
77C22×C4×D47C2313yes—
78#13094020C2×C4124yescomplemented
79#13093998C2×C4124yescomplemented
80#13093995C2×C4124yescomplemented
81Q8×Dic47—24no—
82Q8×Dic47—24no—
83Q8×Dic47C2×C418yescomplemented
84C4×D188—212no—
85#13093986—212no—
86C4×C22⋊D47—212no—
87C4×C22⋊D47—212no—
88C4×C22⋊D47—412no—
89C4×C22⋊D47C2×C4124yescomplemented
90#13093982—212no—
91C2×C4⋊Dic47C2313yes—
92C2×C4⋊Dic47C2313yes—
93C2×C4⋊Dic47C2313yes—
94C2×Dic47⋊C4C2313yes—
95C2×Dic47⋊C4C2316yes—
96C2×Dic47⋊C4C2311yescharacteristic
97C2×Dic47⋊C4C2311yescharacteristic
98C2×C22⋊Dic47C2313yes—
99C2×C22⋊Dic47C2313yes—
100C2×C22⋊Dic47C2316yes—
101C2×C22⋊Dic47C2313yes—
102C2×(C2×D47)⋊C4C2313yes—
103C2×(C2×D47)⋊C4C2313yes—
104C2×(C2×D47)⋊C4C2316yes—
105C2×(C2×D47)⋊C4C2316yes—
106C2×(C2×D47)⋊C4C2313yes—
107C2×C4×Dic47C2313yes—
108C2×C4×Dic47C2313yes—
109C2×C4×Dic47C2313yes—
110C2×C4×Dic47C2311yescharacteristic
111C2×C4×Dic47C2313yes—
112C2×C4×Dic47C2313yes—
113C2×C4×Dic47C2313yes—
114C2×C4×Dic47C2313yes—
115C2×C4×Dic47C2311yescharacteristic
116C42×D47—212no—
117C47⋊#95C2311yescharacteristic
118C47⋊#95C2311yescharacteristic
119C47⋊#95C2313yes—
120C47⋊#95C2313yes—
121C47⋊#95C2313yes—
122C47⋊#95C2313yes—
123C47⋊#95C2316yes—
124C2×#41×C47—24no—
125C2×#41×C47—24no—
126C2×#41×C47C2×C418yescomplemented
127C22×Q8×C47C2311yescharacteristic
128C22×D4×C47C2313yes—
129C23×C4×C47C2313yes—
130C23×C4×C47C2313yes—
131C23×C4×C47C2313yes—
132C4×Q8×C47—24no—
133C4×Q8×C47D418yescomplemented
134C4×D4×C47—212no—
135C4×D4×C47—212no—
136#117×C47—212no—
137C2×C4⋊C4×C47C2313yes—
138C2×C4⋊C4×C47C2313yes—
139C2×C22⋊C4×C47C2316yes—
140C2×C42×C47—212no—
141C2×C42×C47C2311yescharacteristic
142C2×C42×C47C2313yes—
143C2×C42×C47C2313yes—
144C2×C42×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×C47—26no—
157C22×C4×C47—26no—
158C22×C4×C47—26no—
159C22×C4×C47—26no—
160C22×C4×C47—26no—
161C22×C4×C47—43no—
162C22×C4×C47C22×C4112yes—
163C22×C4×C47C2413yes—
164C22×C4×C47C2411yescharacteristic
165C22×C4×C47C2413yes—
166C22×C4×C47C2411yescharacteristic
167C22×C4×C47C2413yes—
168C22×C4×C47C2411yescharacteristic
169C2×C22⋊D47—26no—
170C2×C22⋊D47—26no—
171C2×C22⋊D47—46no—
172C2×C22⋊D47—46no—
173C2×C22⋊D47C22×C4112yes—
174C2×C22⋊D47C22×C4124yes—
175C22×Dic47C2413yes—
176C22×Dic47C2413yes—
177C22×Dic47C2411yescharacteristic
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×C47C2×D4112yes—
197C22⋊C4×C47—212no—
198C42×C47—22no—
199C42×C47—26no—
200C42×C47—26no—
201C42×C47C2×D4112yes—
202C22⋊Dic47—26no—
203C22⋊Dic47—26no—
204C22⋊Dic47—46no—
205C22⋊Dic47C22×C4112yes—
206(C2×D47)⋊C4—212no—
207(C2×D47)⋊C4—26no—
208(C2×D47)⋊C4—26no—
209(C2×D47)⋊C4—46no—
210(C2×D47)⋊C4C22×C4112yes—
211C4⋊Dic47—26no—
212C4⋊Dic47—26no—
213C4⋊Dic47C22×C4112yes—
214Dic47⋊C4—26no—
215Dic47⋊C4—46no—
216Dic47⋊C4C22×C414yes—
217Dic47⋊C4#4114yescomplemented
218C4×Dic47—22no—
219C4×Dic47—26no—
220C4×Dic47—26no—
221C4×Dic47—26no—
222C4×Dic47—26no—
223C4×Dic47—26no—
224C4×Dic47—43no—
225C4×Dic47C22×C4112yes—
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—23no—
247C2×C4×C47—21no—
248C2×C4×C47—23no—
249C2×C4×C47—21no—
250C2×C4×C47—224no—
251C2×C4×C47—23no—
252C2×C4×C47—23no—
253C2×C4×C47—23no—
254C2×C4×C47—412no—
255C2×C4×C47—412no—
256C2×C4×C47C23×C412yes—
257C2×C4×C47C23×C416yes—
258C2×C4×C47C22×D416yes—
259C2×C4×C47C22×D416yes—
260C2×C4×C47C22×D412yes—
261C2×C4×C47C2×#4112yes—
262C2×C4×C47C2×#4112yes—
263C2×C4×C47C2×#4116yes—
264C2×C4×C47H(5,𝔽2)12yes—
265C22⋊D47—224no—
266C22⋊D47—424no—
267C2×Dic47—21no—
268C2×Dic47—21no—
269C2×Dic47—21no—
270C2×Dic47—21no—
271C2×Dic47—23no—
272C2×Dic47—21no—
273C2×Dic47—23no—
274C2×Dic47—21no—
275C2×Dic47—23no—
276C2×Dic47—23no—
277C2×Dic47—23no—
278C2×Dic47—23no—
279C2×Dic47—23no—
280C2×Dic47—23no—
281C2×Dic47C23×C416yes—
282C2×Dic47C23×C412yes—
283C2×Dic47C23×C412yes—
284C2×Dic47C2×#4112yes—
285C2×Dic47C2×#4112yes—
286C2×Dic47C2×#4112yes—
287C2×Dic47C2×#4112yes—
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—26no—
316C4×C47—22no—
317C4×C47—43no—
318C4×C47C2×C4×D4112yes—
319C4×C47#55014yescomplemented
320Dic47—22no—
321Dic47—26no—
322Dic47—22no—
323Dic47—22no—
324Dic47—43no—
325Dic47—43no—
326Dic47C4×#4114yescomplemented
327C2×#550—471no—
328C2×C4×#41—471no—
329C2×C4×#41D4711yescharacteristic, complemented
330#2366—473no—
331#2363—473no—
332#2363—473no—
333#2354—473no—
334Q8×C4⋊C4—471no—
335#2341—471no—
336#2341—471no—
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—28no—
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—476no—
368C2×C4×D4—473no—
369C2×C4×D4—473no—
370C2×C4×D4C2×D4713yes—
371C2×C4×D4C2×D4713yes—
372C2×#117—473no—
373C2×#117C2×D4713yes—
374C22×C42—473no—
375C22×C42C2×D4713yes—
376#390—473no—
377#390—473no—
378#390—473no—
379#390—476no—
380#390—476no—
381#390—473no—
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#380—473no—
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⋊C4—473no—
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×C4C22×D4713yes—
420C23×C4C22×D4713yes—
421C23×C4C22×D4713yes—
422#127—4724no—
423#121—4724no—
424#121—4724no—
425C4×Q8—24no—
426C4×Q8—478no—
427C4×Q8—944no—
428C4×Q8—944no—
429C4×Q8C22⋊D4718yescomplemented
430C4×D4—212no—
431C4×D4—212no—
432C4×D4—4724no—
433C4×D4—9412no—
434C4×D4—9412no—
435C4×D4—9412no—
436C4×D4—9412no—
437C4×D4—18812no—
438#117—212no—
439#117—9412no—
440C2×C4⋊C4—471no—
441C2×C4⋊C4—471no—
442C2×C4⋊C4—473no—
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—473no—
452C2×C22⋊C4—473no—
453C2×C22⋊C4—476no—
454C2×C22⋊C4—473no—
455C2×C22⋊C4—473no—
456C2×C22⋊C4—476no—
457C2×C22⋊C4—476no—
458C2×C22⋊C4C22×D4716yes—
459C2×C42—212no—
460C2×C42—473no—
461C2×C42—471no—
462C2×C42—473no—
463C2×C42—473no—
464C2×C42—473no—
465C2×C42—473no—
466C2×C42—473no—
467C2×C42—471no—
468C2×C42—473no—
469C2×C42—9412no—
470C2×C42C22×D4713yes—
471C2×C42C22×D4713yes—
472C2×C42C22×D4711yescharacteristic
473C2×C42C22×D4713yes—
474#95—471no—
475#95—471no—
476#95—473no—
477#95—473no—
478#95—473no—
479#95—473no—
480#95—476no—
481C24—473no—
482C24C23×D4713yes—
483#41—232no—
484#41—9432no—
485C2×Q8C2×C4×D4714yes—
486C2×Q8#1062535014yes—
487C2×Q8C2×C22⋊D4714yes—
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—26no—
503C22×C4—26no—
504C22×C4—26no—
505C22×C4—26no—
506C22×C4—26no—
507C22×C4—43no—
508C22×C4—471no—
509C22×C4—471no—
510C22×C4—471no—
511C22×C4—473no—
512C22×C4—471no—
513C22×C4—4712no—
514C22×C4—473no—
515C22×C4—473no—
516C22×C4—946no—
517C22×C4—946no—
518C22×C4—946no—
519C22×C4—946no—
520C22×C4—946no—
521C22×C4—946no—
522C22×C4—946no—
523C22×C4—1883no—
524C22×C4C2×C4×D47112yes—
525C22×C4C23×D4713yes—
526C22×C4C23×D4711yescharacteristic
527C22×C4C23×D4713yes—
528C22×C4C23×D4711yescharacteristic
529C22×C4C23×D4713yes—
530C22×C4C23×D4711yescharacteristic
531C4⋊C4—26no—
532C4⋊C4—474no—
533C4⋊C4—4712no—
534C4⋊C4—474no—
535C4⋊C4—946no—
536C4⋊C4—946no—
537C4⋊C4—946no—
538C4⋊C4—1886no—
539C4⋊C4C2×C22⋊D47112yes—
540C22⋊C4—212no—
541C22⋊C4—4712no—
542C22⋊C4—4712no—
543C22⋊C4—946no—
544C22⋊C4—946no—
545C22⋊C4—946no—
546C22⋊C4—9412no—
547C22⋊C4—946no—
548C22⋊C4—1886no—
549C22⋊C4—1886no—
550C42—22no—
551C42—26no—
552C42—26no—
553C42—4712no—
554C42—474no—
555C42—946no—
556C42—942no—
557C42—946no—
558C42—946no—
559C42—946no—
560C42—946no—
561C42—1883no—
562C42C2×C22⋊D47112yes—
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
578Q8C4×C22⋊D47116yescomplemented
579D4—224no—
580D4—9424no—
581D4—9424no—
582D4—18824no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—23no—
586C2×C4—21no—
587C2×C4—23no—
588C2×C4—21no—
589C2×C4—224no—
590C2×C4—23no—
591C2×C4—23no—
592C2×C4—23no—
593C2×C4—412no—
594C2×C4—412no—
595C2×C4—472no—
596C2×C4—472no—
597C2×C4—472no—
598C2×C4—476no—
599C2×C4—472no—
600C2×C4—472no—
601C2×C4—472no—
602C2×C4—941no—
603C2×C4—941no—
604C2×C4—941no—
605C2×C4—941no—
606C2×C4—943no—
607C2×C4—941no—
608C2×C4—943no—
609C2×C4—941no—
610C2×C4—9424no—
611C2×C4—943no—
612C2×C4—943no—
613C2×C4—943no—
614C2×C4—943no—
615C2×C4—943no—
616C2×C4—943no—
617C2×C4—18812no—
618C2×C4—18812no—
619C2×C4C22×C4×D4712yes—
620C2×C4C22×C4×D4716yes—
621C2×C4C22×C22⋊D4716yes—
622C2×C4C22×C22⋊D4712yes—
623C2×C4C22×C22⋊D4716yes—
624C2×C4#41×D4712yes—
625C2×C4#41×D4712yes—
626C2×C4C2×#1062535016yes—
627C2×C4#1309407012yes—
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
643C22C23×C22⋊D4711yescharacteristic
644C22C2×#41×D4711yescharacteristic
645C22C2×#41×D4711yescharacteristic
646C22C22×#1062535011yescharacteristic
647C22C2×#1309407011yescharacteristic
648C22#1568995911yescharacteristic
649C4—22no—
650C4—22no—
651C4—26no—
652C4—43no—
653C4—474no—
654C4—942no—
655C4—946no—
656C4—942no—
657C4—942no—
658C4—1883no—
659C4—1883no—
660C4C2×C4×C22⋊D47112yes—
661C4#1568979214yesdirect product factor
662C2—46no—
663C2—1886no—
664C2C22×C4×C22⋊D4711yescharacteristic
665C2C4×#41×D4711yescharacteristic
666C2C4×#1309407011yescharacteristic
667C2C2×#1568979211yescharacteristic
668C2#41×C22⋊D4711yescharacteristic
669C2#2025698611yescharacteristic
670C2#2025701411yescharacteristic
subgroupG/H
centerC22×C4C23×D47
commutatorC22×C47C24×C4
FrattiniC23C24×D47
FittingC2×C4×#41×C47C2
socle, cosocleC23×C47C25
prime radicalC2×#15689792C2
hypercenterC2×C4×#41D47
hypocenterC47C4×#550
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ C2×C4×#41

Complements

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

NH ≅ G/Ntype
2. C2×C4×#10625354C2semidirect
3. #20246450C2semidirect
4. #20246426C2semidirect
5. #20246422C2semidirect
6. #20246338C2semidirect
7. Q8×Dic47⋊C4C2semidirect
8. #20246229C2semidirect
9. #20246226C2semidirect
10. C4×#13094020C2semidirect
11. C4×#13093998C2semidirect
12. C4×#13093995C2semidirect
13. C4×Q8×Dic47C2semidirect
14. C42×C22⋊D47C2semidirect
15. C2×C4×#41×C47C2semidirect
17. #15689792C4direct (N × H)
71. C2×#10625354C2×C4semidirect
78. #13094020C2×C4semidirect
79. #13093998C2×C4semidirect
80. #13093995C2×C4semidirect
83. Q8×Dic47C2×C4semidirect
89. C4×C22⋊D47C2×C4semidirect
126. C2×#41×C47C2×C4semidirect
133. C4×Q8×C47D4semidirect
217. Dic47⋊C4#41semidirect
226. C4×Dic47#41semidirect
242. Q8×C47C4×D4semidirect
319. C4×C47#550semidirect
326. Dic47C4×#41semidirect
329. C2×C4×#41D47semidirect
404. C47C4×#550semidirect
410. C2×#41C4×D47semidirect
429. C4×Q8C22⋊D47semidirect
578. Q8C4×C22⋊D47semidirect
661. C4#15689792direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#156897922
C2×C4×#106253542
#202464502
#202464262
#202464222
#202463382
Q8×Dic47⋊C42
#202462292
#202462262
C4×#130940202
C4×#130939982
C4×#130939952
C4×Q8×Dic472
C42×C22⋊D472
C2×C4×#41×C472
C4×#55047