Finite Group Databasebeta

← C4×#15689926 #27080495

Subgroups — C4×#15689926 #27080495

Order 12032.

2826 conjugacy classes of subgroups.

The subgroup lattice has 690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689926C211yesmaximal, characteristic
2C4×#13094070C211yesmaximal, characteristic, complemented
3#20252261C213yesmaximal, complemented
4#20252238C213yesmaximal, complemented
5#20252220C213yesmaximal, complemented
6#20252216C213yesmaximal, complemented
7C4×#13094050C213yesmaximal, complemented
8C4×#13094049C213yesmaximal, complemented
9C4×#13094044C213yesmaximal, complemented
10C2×C4×#10625334C213yesmaximal, complemented
11#20251986C211yesmaximal, characteristic, complemented
12#20251914C211yesmaximal, characteristic, complemented
13#20251911C211yesmaximal, characteristic, complemented
14C4×#13094031C211yesmaximal, characteristic, complemented
15C4×H(5,𝔽2)×C47C211yesmaximal, characteristic, complemented
16C2×#13094070C2211yescharacteristic
17#15689926C4116yesdirect product factor
18C2×#13094050C2213yes—
19C2×#13094049C2213yes—
20C2×#13094044C2213yes—
21C22×#10625334C2213yes—
22C2×#13094031C2211yescharacteristic
23C2×#13094031C2211yescharacteristic
24#15689606C2211yescharacteristic
25#15689605—21no—
26#15689603C2213yescomplemented
27#15689597C2213yescomplemented
28#15689595—23no—
29C4×#10625354—21no—
30C4×#10625350C2213yescomplemented
31C2×C4×D188C2213yescomplemented
32C4×D4×D47—23no—
33#15689233C2216yescomplemented
34#15689233C2216yescomplemented
35#15689223C2216yescomplemented
36#15689221C2216yescomplemented
37C4×#10625337C2213yescomplemented
38C4×#10625337C2211yescharacteristic, complemented
39C4×#10625336C2213yescomplemented
40C4×#10625336C2213yescomplemented
41C4×#10625335C2213yescomplemented
42C4×#10625335C2213yescomplemented
43C4×#10625334C2216yescomplemented
44C4×#10625334C2216yescomplemented
45C4×#10625334C2213yescomplemented
46C4×#10625334C2216yescomplemented
47C4×#10625334C2213yescomplemented
48#15689166C2213yescomplemented
49#15689163C2213yescomplemented
50#15689159C2213yescomplemented
51C2×#13093957C2213yescomplemented
52#15689128C2213yescomplemented
53#15689127C2213yescomplemented
54#15689124C2213yescomplemented
55#15689122C2213yescomplemented
56#15689119C2213yescomplemented
57#15689117C2213yescomplemented
58C2×#13093945C2213yescomplemented
59C2×#13093944C2213yescomplemented
60#15689079C2213yescomplemented
61#15689079C2213yescomplemented
62C4×#10625329C2213yescomplemented
63C2×C4×C47⋊C8C2213yescomplemented
64C2×H(5,𝔽2)×C47C2211yescharacteristic
65C47×#520—21no—
66C47×#520C2211yescharacteristic
67C47×#520C2213yescomplemented
68C47×#518—23no—
69C47×#518C2213yescomplemented
70C4×#41×C47—21no—
71C4×#41×C47C2211yescharacteristic
72C4×#41×C47C2213yescomplemented
73C2×C4×D4×C47—23no—
74C2×C4×D4×C47C2213yescomplemented
75#13094070—24no—
76#13094070C2×C418yescomplemented
77C2×#10625354—21no—
78C2×#10625350C2313yes—
79C22×D188C2313yes—
80C2×D4×D47—23no—
81C22×C4×D47—23no—
82#13094050C2×C4124yescomplemented
83#13094049C2×C4124yescomplemented
84#13094044C2×C4124yescomplemented
85C2×#10625337C2311yescharacteristic
86C2×#10625335C2313yes—
87C2×#10625336C2313yes—
88C2×#10625334C2×C4124yescomplemented
89C2×#10625334C2316yes—
90C2×#10625334C2313yes—
91#13094031—24no—
92#13094031C2×C418yescomplemented
93C2×#10625329C2313yes—
94C2×#10625329C2313yes—
95C22×C47⋊C8C2313yes—
96C22×C47⋊C8C2313yes—
97Q8×Dic47—21no—
98C4×Dic94C2313yes—
99C4×Dic94C2311yescharacteristic
100C4×D188—23no—
101C4×D188—23no—
102C4×D188C2316yes—
103C4×D188C2313yes—
104C4×D188C2313yes—
105D4×Dic47—23no—
106#13093986—23no—
107#13093986—23no—
108C4×C22⋊D47—23no—
109C4×C22⋊D47—23no—
110(C22⋊D47)⋊C4—26no—
111#13093983C2313yes—
112#13093982—23no—
113#13093981—23no—
114C2×C4⋊Dic47C2313yes—
115C4⋊C4×D47—23no—
116C2×(C2×D47)⋊C4—23no—
117C22⋊C4×D47—26no—
118C42×D47—23no—
119#13093957C2313yes—
120#13093957C2311yescharacteristic
121#13093957C2316yes—
122#13093955C2313yes—
123#13093955C2313yes—
124#13093948C2313yes—
125#13093948C2311yescharacteristic
126#13093947C2313yes—
127#13093947C2311yescharacteristic
128#13093945C2316yes—
129#13093945C2313yes—
130#13093945C2313yes—
131#13093944C2316yes—
132#13093944C2313yes—
133#13093944C2313yes—
134#13093935C2316yes—
135C4×C47⋊C8C2311yescharacteristic
136C4×C47⋊C8C2313yes—
137C4×C47⋊C8C2313yes—
138C4×C47⋊C8C2313yes—
139H(5,𝔽2)×C47—24no—
140H(5,𝔽2)×C47C2×C418yescomplemented
141C2×#41×C47—21no—
142C2×#41×C47C2313yes—
143C2×#41×C47C2311yescharacteristic
144C22×D4×C47—23no—
145C22×D4×C47C2313yes—
146C23×C4×C47—23no—
147C4×Q8×C47—21no—
148C4×Q8×C47D411yescharacteristic
149C4×Q8×C47D411yescharacteristic
150C4×Q8×C47C2313yes—
151C4×Q8×C47C2311yescharacteristic
152C4×D4×C47—23no—
153C4×D4×C47—23no—
154C4×D4×C47—23no—
155C4×D4×C47—23no—
156C4×D4×C47—23no—
157C4×D4×C47—26no—
158C4×D4×C47—23no—
159C4×D4×C47—23no—
160C4×D4×C47D413yes—
161C4×D4×C47D413yes—
162C4×D4×C47C2316yes—
163C4×D4×C47C2313yes—
164C4×D4×C47C2313yes—
165#117×C47—23no—
166#117×C47—23no—
167#117×C47C2313yes—
168#117×C47C2313yes—
169C2×C4⋊C4×C47—23no—
170C2×C4⋊C4×C47C2313yes—
171C2×C22⋊C4×C47—23no—
172C2×C22⋊C4×C47—26no—
173C2×C42×C47—23no—
174C2×C42×C47C2313yes—
175C24×C47—23no—
176C23×D47—23no—
177#41×C47—28no—
178#41×C47—26no—
179#41×C47C22×C414yes—
180#41×C47C22×C4112yescomplemented
181#41×C47#4114yes—
182C2×Q8×C47C2×D411yescharacteristic
183C2×Q8×C47C2411yescharacteristic
184C2×D4×C47—23no—
185C2×D4×C47—224no—
186C2×D4×C47—23no—
187C2×D4×C47—26no—
188C2×D4×C47C22×C4112yescomplemented
189C2×D4×C47C2×D413yes—
190C2×D4×C47C2413yes—
191C22×C4×C47—23no—
192C22×C4×C47—23no—
193C22×C4×C47—23no—
194C22×C4×C47—23no—
195C22×C4×C47—26no—
196C22×C4×C47—86no—
197C22×C4×C47C2×D413yes—
198C22×C4×C47C2×D413yes—
199C22×C4×C47C2413yes—
200C2×C22⋊D47—23no—
201C22×Dic47—23no—
202#10625354—28no—
203D4×D47—224no—
204#10625350—26no—
205#10625350C22×C4112yescomplemented
206C2×D188—23no—
207C2×D188—26no—
208C2×D188C22×C4112yescomplemented
209C2×D188C2413yes—
210C2×C4×D47—23no—
211C2×C4×D47—23no—
212C2×C4×D47—23no—
213C2×C4×D47—26no—
214C2×C4×D47—86no—
215C2×Dic94C2411yescharacteristic
216C4⋊C4×C47—23no—
217C4⋊C4×C47—23no—
218C4⋊C4×C47—21no—
219C4⋊C4×C47C2×D413yes—
220C4⋊C4×C47C2×D413yes—
221C4⋊C4×C47C2413yes—
222C4⋊C4×C47C2411yescharacteristic
223C22⋊C4×C47—23no—
224C22⋊C4×C47—23no—
225C22⋊C4×C47—26no—
226C22⋊C4×C47—23no—
227C22⋊C4×C47C2×D416yes—
228C42×C47—21no—
229C42×C47—23no—
230C42×C47—23no—
231C42×C47C2×D413yes—
232C42×C47C2×D413yes—
233C42×C47C2411yescharacteristic
234C42×C47C2413yes—
235C22⋊Dic47—23no—
236#10625337C22×C414yescomplemented
237#10625336C22×C4112yescomplemented
238#10625335C22×C4112yescomplemented
239#10625334C22×C4112yescomplemented
240#10625334C22×C4124yescomplemented
241(C2×D47)⋊C4—23no—
242(C2×D47)⋊C4—26no—
243(C2×D47)⋊C4—23no—
244C4⋊Dic47—23no—
245C4⋊Dic47C2411yescharacteristic
246C4⋊Dic47C2413yes—
247Dic47⋊C4—23no—
248Dic47⋊C4—21no—
249C4×Dic47—21no—
250C4×Dic47—23no—
251C4×Dic47—23no—
252#10625329—26no—
253#10625329C22×C4112yescomplemented
254C2×C47⋊C8—26no—
255C2×C47⋊C8C22×C4112yescomplemented
256C2×C47⋊C8C2411yescharacteristic
257C2×C47⋊C8C2413yes—
258C2×C47⋊C8C2411yescharacteristic
259C2×C47⋊C8C2413yes—
260C23×C47—23no—
261C23×C47—212no—
262C23×C47—83no—
263C23×C47—83no—
264C23×C47C22×D413yes—
265C22×D47—23no—
266C22×D47—212no—
267C22×D47—83no—
268C22×D47—83no—
269Q8×C47—21no—
270Q8×C47C4×D414yes—
271Q8×C47C23×C412yes—
272D4×C47—212no—
273D4×C47—212no—
274D4×C47—23no—
275D4×C47C4×D4112yes—
276D4×C47C23×C416yes—
277C2×C4×C47—21no—
278C2×C4×C47—212no—
279C2×C4×C47—26no—
280C2×C4×C47—21no—
281C2×C4×C47—23no—
282C2×C4×C47—43no—
283C2×C4×C47—46no—
284C2×C4×C47—83no—
285C2×C4×C47—86no—
286C2×C4×C47—83no—
287C2×C4×C47C23×C416yes—
288C2×C4×C47C22×D413yes—
289C2×C4×C47C22×D411yescharacteristic
290C2×C4×C47C22×D413yes—
291C2×C4×C47C22×D413yes—
292C2×C4×C47C22×D411yescharacteristic
293C2×C4×C47C2×#4116yes—
294C2×C4×C47C2511yescharacteristic
295C22⋊D47—212no—
296C2×Dic47—21no—
297C2×Dic47—21no—
298C2×Dic47—23no—
299C2×Dic47—83no—
300D188—212no—
301D188—23no—
302D188C23×C416yes—
303C4×D47—212no—
304C4×D47—46no—
305C4×D47—83no—
306C4×D47—86no—
307Dic94—21no—
308Dic94C23×C412yes—
309C47⋊C8—21no—
310C47⋊C8—23no—
311C47⋊C8C23×C412yes—
312C47⋊C8C23×C416yes—
313C4×#576—471nomaximal, Sylow
314C22×C47—23no—
315C22×C47—23no—
316C22×C47—26no—
317C22×C47—43no—
318C22×C47—43no—
319C22×C47—812no—
320C22×C47C2×C4×D416yes—
321C22×C47C23×D411yescharacteristic
322C2×D47—26no—
323C2×D47—43no—
324C2×D47—43no—
325C2×D47—812no—
326C4×C47—23no—
327C4×C47—21no—
328C4×C47—22no—
329C4×C47—23no—
330C4×C47—41no—
331C4×C47—43no—
332C4×C47C2×C4×D416yes—
333C4×C47#57612yescomplemented
334C4×C47C24×C411yescharacteristic
335C4×C47C22×#4111yescharacteristic
336Dic47—22no—
337Dic47—41no—
338Dic47—43no—
339C2×#576—471no—
340C4×H(5,𝔽2)—471no—
341C4×H(5,𝔽2)D4711yescharacteristic, complemented
342#2951—473no—
343#2948—473no—
344#2946—473no—
345#2946—473no—
346C4×AGL(1,ℤ/8)—473no—
347C4×AGL(1,ℤ/8)—473no—
348C4×#135—473no—
349C2×C4×D8—473no—
350#2913—471no—
351#2897—471no—
352#2897—471no—
353C4×#131—471no—
354C2×C47—26no—
355C2×C47—46no—
356C2×C47C22×C4×D411yescharacteristic
357C2×C47C2×#57611yescharacteristic
358C2×C47#358411yescharacteristic
359D47—46no—
360C2×H(5,𝔽2)—471no—
361C2×H(5,𝔽2)C2×D4711yescharacteristic
362#576—4716no—
363C2×AGL(1,ℤ/8)—473no—
364C2×AGL(1,ℤ/8)—473no—
365C2×#135—473no—
366C22×D8—473no—
367C2×#131—471no—
368C2×#131—471no—
369#520—21no—
370#520—471no—
371#520—473no—
372#520—941no—
373#520C2×D4711yescharacteristic
374#520C2×D4713yescomplemented
375#518—23no—
376#518—473no—
377#518—943no—
378#518C2×D4713yescomplemented
379C4×#41—21no—
380C4×#41—473no—
381C4×#41—941no—
382C4×#41C2×D4711yescharacteristic
383C4×#41C2×D4713yescomplemented
384C2×C4×D4—23no—
385C2×C4×D4—473no—
386C2×C4×D4—943no—
387C2×C4×D4C2×D4713yescomplemented
388#442—476no—
389#442—476no—
390#440—476no—
391#440—476no—
392C4×Q16—471no—
393C4×Q16—473no—
394C4×SD16—473no—
395C4×SD16—473no—
396C4×SD16—473no—
397C4×SD16—473no—
398C4×D8—473no—
399C4×D8—476no—
400C4×D8—476no—
401C4×D8—476no—
402C4×D8—473no—
403#428—473no—
404#428—473no—
405#427—473no—
406C2×#107—473no—
407#418—473no—
408#418—473no—
409#417—473no—
410#417—473no—
411#416—473no—
412#416—473no—
413C2×#102—473no—
414C2×#102—473no—
415#405—473no—
416#405—473no—
417C4×M16—473no—
418C2×C4×C8—473no—
419C47C4×#57611yescharacteristic, complemented, Sylow
420H(5,𝔽2)—24no—
421H(5,𝔽2)—478no—
422H(5,𝔽2)—944no—
423H(5,𝔽2)C4×D4718yescomplemented
424C2×#41—21no—
425C2×#41—473no—
426C2×#41—941no—
427C2×#41C22×D4713yes—
428C2×#41C22×D4711yescharacteristic
429C22×D4—23no—
430C22×D4—473no—
431C22×D4—943no—
432C22×D4C22×D4713yes—
433C23×C4—23no—
434C23×C4—943no—
435AGL(1,ℤ/8)—4724no—
436AGL(1,ℤ/8)—4724no—
437#135—4724no—
438C2×Q16—471no—
439C2×SD16—473no—
440C2×SD16—473no—
441C2×D8—4724no—
442C2×D8—473no—
443C2×D8—476no—
444#131—478no—
445#131—944no—
446C2×M16—473no—
447C2×M16—473no—
448C22×C8—473no—
449C22×C8—473no—
450C4×Q8—21no—
451C4×Q8—471no—
452C4×Q8—473no—
453C4×Q8—941no—
454C4×Q8C22⋊D4711yescharacteristic
455C4×Q8C22⋊D4711yescharacteristic
456C4×Q8C22×D4711yescharacteristic
457C4×Q8C22×D4713yes—
458C4×D4—23no—
459C4×D4—23no—
460C4×D4—23no—
461C4×D4—23no—
462C4×D4—23no—
463C4×D4—26no—
464C4×D4—23no—
465C4×D4—23no—
466C4×D4—473no—
467C4×D4—476no—
468C4×D4—473no—
469C4×D4—943no—
470C4×D4—943no—
471C4×D4—943no—
472C4×D4—943no—
473C4×D4—943no—
474C4×D4—946no—
475C4×D4—943no—
476C4×D4—943no—
477C4×D4C22⋊D4713yes—
478C4×D4C22⋊D4713yes—
479C4×D4C22×D4713yes—
480C4×D4C22×D4716yes—
481C4×D4C22×D4713yes—
482#117—23no—
483#117—23no—
484#117—473no—
485#117—943no—
486#117—943no—
487#117C22×D4713yes—
488#117C22×D4713yes—
489C2×C4⋊C4—23no—
490C2×C4⋊C4—473no—
491C2×C4⋊C4—943no—
492C2×C4⋊C4C22×D4713yes—
493C2×C22⋊C4—23no—
494C2×C22⋊C4—26no—
495C2×C22⋊C4—943no—
496C2×C22⋊C4—946no—
497C2×C42—23no—
498C2×C42—943no—
499C2×C42C22×D4713yes—
500#107—473no—
501#107—476no—
502#107—471no—
503#106—473no—
504#106—473no—
505#103—471no—
506#103—473no—
507#103—471no—
508#103—473no—
509#102—473no—
510#102—476no—
511#102—473no—
512#102—473no—
513#102—476no—
514#102—473no—
515#97—476no—
516C4×C8—471no—
517C4×C8—473no—
518C4×C8—473no—
519C4×C8—473no—
520C24—23no—
521C24—943no—
522#41—28no—
523#41—26no—
524#41—4712no—
525#41—948no—
526#41—946no—
527#41C2×C4×D4714yes—
528#41C2×C4×D47112yescomplemented
529#41#1062535014yes—
530C2×Q8—471no—
531C2×Q8C2×C22⋊D4711yescharacteristic
532C2×Q8C23×D4711yescharacteristic
533C2×D4—23no—
534C2×D4—224no—
535C2×D4—23no—
536C2×D4—26no—
537C2×D4—4712no—
538C2×D4—473no—
539C2×D4—943no—
540C2×D4—9424no—
541C2×D4—943no—
542C2×D4—946no—
543C2×D4C2×C4×D47112yescomplemented
544C2×D4C2×C22⋊D4713yes—
545C2×D4C23×D4713yes—
546C22×C4—23no—
547C22×C4—23no—
548C22×C4—23no—
549C22×C4—23no—
550C22×C4—26no—
551C22×C4—86no—
552C22×C4—943no—
553C22×C4—943no—
554C22×C4—943no—
555C22×C4—946no—
556C22×C4—943no—
557C22×C4—3766no—
558C22×C4C2×C22⋊D4713yes—
559C22×C4C2×C22⋊D4713yes—
560C22×C4C23×D4713yes—
561Q16—474no—
562SD16—4712no—
563SD16—4712no—
564D8—4712no—
565D8—4724no—
566M16—4712no—
567M16—946no—
568C2×C8—4712no—
569C2×C8—471no—
570C2×C8—473no—
571C2×C8—471no—
572C2×C8—473no—
573C2×C8—946no—
574C4⋊C4—23no—
575C4⋊C4—23no—
576C4⋊C4—21no—
577C4⋊C4—471no—
578C4⋊C4—473no—
579C4⋊C4—943no—
580C4⋊C4—941no—
581C4⋊C4—943no—
582C4⋊C4C2×C22⋊D4713yes—
583C4⋊C4C2×C22⋊D4713yes—
584C4⋊C4C23×D4711yescharacteristic
585C4⋊C4C23×D4713yes—
586C22⋊C4—23no—
587C22⋊C4—23no—
588C22⋊C4—26no—
589C22⋊C4—23no—
590C22⋊C4—943no—
591C22⋊C4—943no—
592C22⋊C4—946no—
593C22⋊C4—943no—
594C22⋊C4C2×C22⋊D4716yes—
595C42—23no—
596C42—23no—
597C42—21no—
598C42—943no—
599C42—943no—
600C42—941no—
601C42C2×C22⋊D4713yes—
602C42C2×C22⋊D4713yes—
603C42C23×D4713yes—
604C42C23×D4711yescharacteristic
605C23—23no—
606C23—212no—
607C23—83no—
608C23—83no—
609C23—9412no—
610C23—943no—
611C23—3763no—
612C23—3763no—
613C23C22×C22⋊D4713yes—
614Q8—21no—
615Q8—472no—
616Q8—941no—
617Q8C4×C22⋊D4714yes—
618Q8C22×C4×D4712yes—
619D4—212no—
620D4—212no—
621D4—23no—
622D4—476no—
623D4—9412no—
624D4—9412no—
625D4—943no—
626D4C4×C22⋊D47112yes—
627D4C22×C4×D4716yes—
628C2×C4—21no—
629C2×C4—212no—
630C2×C4—26no—
631C2×C4—21no—
632C2×C4—23no—
633C2×C4—43no—
634C2×C4—46no—
635C2×C4—83no—
636C2×C4—86no—
637C2×C4—83no—
638C2×C4—941no—
639C2×C4—9412no—
640C2×C4—941no—
641C2×C4—943no—
642C2×C4—3763no—
643C2×C4—3766no—
644C2×C4—3763no—
645C2×C4—1886no—
646C2×C4C22×C4×D4716yes—
647C2×C4C22×C22⋊D4713yes—
648C2×C4C22×C22⋊D4711yescharacteristic
649C2×C4C22×C22⋊D4713yes—
650C2×C4C22×C22⋊D4713yes—
651C2×C4C22×C22⋊D4711yescharacteristic
652C2×C4C2×#1062535016yes—
653C2×C4C24×D4711yescharacteristic
654C8—472no—
655C8—476no—
656C8—941no—
657C8—943no—
658C22—23no—
659C22—23no—
660C22—26no—
661C22—43no—
662C22—43no—
663C22—812no—
664C22—946no—
665C22—37612no—
666C22—1883no—
667C22—1883no—
668C22C2×C4×C22⋊D4716yes—
669C22C23×C22⋊D4711yescharacteristic
670C4—22no—
671C4—23no—
672C4—21no—
673C4—23no—
674C4—43no—
675C4—41no—
676C4—942no—
677C4—1883no—
678C4—1881no—
679C4C2×C4×C22⋊D4716yes—
680C4#1568992612yesdirect product factor
681C4C23×C4×D4711yescharacteristic
682C4C22×#1062535011yescharacteristic
683C2—26no—
684C2—46no—
685C2—1886no—
686C2C22×C4×C22⋊D4711yescharacteristic
687C2C2×#1568992611yescharacteristic
688C2#2025815911yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊D47
commutatorC4×C47C24×C4
FrattiniC2×C4C24×D47
FittingC4×H(5,𝔽2)×C47C2
socleC22×C47C23×D4
prime radicalC2×#15689926C2
cosocleC2×C4×C47C25
hypercenterC4×H(5,𝔽2)D47
hypocenterC47C4×#576
LCSG ▷ C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C2×C4 ◁ C4×#41 ◁ C4×H(5,𝔽2)

Complements

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

NH ≅ G/Ntype
2. C4×#13094070C2semidirect
3. #20252261C2semidirect
4. #20252238C2semidirect
5. #20252220C2semidirect
6. #20252216C2semidirect
7. C4×#13094050C2semidirect
8. C4×#13094049C2semidirect
9. C4×#13094044C2semidirect
10. C2×C4×#10625334C2semidirect
11. #20251986C2semidirect
12. #20251914C2semidirect
13. #20251911C2semidirect
14. C4×#13094031C2semidirect
15. C4×H(5,𝔽2)×C47C2semidirect
17. #15689926C4direct (N × H)
26. #15689603C22semidirect
27. #15689597C22semidirect
30. C4×#10625350C22semidirect
31. C2×C4×D188C22semidirect
33. #15689233C22semidirect
34. #15689233C22semidirect
35. #15689223C22semidirect
36. #15689221C22semidirect
37. C4×#10625337C22semidirect
38. C4×#10625337C22semidirect
39. C4×#10625336C22semidirect
40. C4×#10625336C22semidirect
41. C4×#10625335C22semidirect
42. C4×#10625335C22semidirect
43. C4×#10625334C22semidirect
44. C4×#10625334C22semidirect
45. C4×#10625334C22semidirect
46. C4×#10625334C22semidirect
47. C4×#10625334C22semidirect
48. #15689166C22semidirect
49. #15689163C22semidirect
50. #15689159C22semidirect
51. C2×#13093957C22semidirect
52. #15689128C22semidirect
53. #15689127C22semidirect
54. #15689124C22semidirect
55. #15689122C22semidirect
56. #15689119C22semidirect
57. #15689117C22semidirect
58. C2×#13093945C22semidirect
59. C2×#13093944C22semidirect
60. #15689079C22semidirect
61. #15689079C22semidirect
62. C4×#10625329C22semidirect
63. C2×C4×C47⋊C8C22semidirect
67. C47×#520C22semidirect
69. C47×#518C22semidirect
72. C4×#41×C47C22semidirect
74. C2×C4×D4×C47C22semidirect
76. #13094070C2×C4semidirect
82. #13094050C2×C4semidirect
83. #13094049C2×C4semidirect
84. #13094044C2×C4semidirect
88. C2×#10625334C2×C4semidirect
92. #13094031C2×C4semidirect
140. H(5,𝔽2)×C47C2×C4semidirect
180. #41×C47C22×C4semidirect
188. C2×D4×C47C22×C4semidirect
205. #10625350C22×C4semidirect
208. C2×D188C22×C4semidirect
236. #10625337C22×C4semidirect
237. #10625336C22×C4semidirect
238. #10625335C22×C4semidirect
239. #10625334C22×C4semidirect
240. #10625334C22×C4semidirect
253. #10625329C22×C4semidirect
255. C2×C47⋊C8C22×C4semidirect
333. C4×C47#576semidirect
341. C4×H(5,𝔽2)D47semidirect
374. #520C2×D47semidirect
378. #518C2×D47semidirect
383. C4×#41C2×D47semidirect
387. C2×C4×D4C2×D47semidirect
419. C47C4×#576semidirect
423. H(5,𝔽2)C4×D47semidirect
528. #41C2×C4×D47semidirect
543. C2×D4C2×C4×D47semidirect
680. C4#15689926direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#156899262
C4×#130940702
#202522612
#202522382
#202522202
#202522162
C4×#130940502
C4×#130940492
C4×#130940442
C2×C4×#106253342
#202519862
#202519142
#202519112
C4×#130940312
C4×H(5,𝔽2)×C472
C4×#57647