Finite Group Databasebeta

← #26234730

Subgroups — #26234730

Order 12032.

858 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689242C211yesmaximal, characteristic
2C2×#15689238C211yesmaximal, characteristic
3#20252184C211yesmaximal, characteristic
4#20251955C211yesmaximal, characteristic, complemented
5#20251954C211yesmaximal, characteristic, complemented
6#20244140C211yesmaximal, characteristic, complemented
7#20244133C211yesmaximal, characteristic, complemented
8#20243666C211yesmaximal, characteristic, complemented
9#20243665C211yesmaximal, characteristic, complemented
10#20243660C211yesmaximal, characteristic, complemented
11#20243561C211yesmaximal, characteristic, complemented
12#20243407C211yesmaximal, characteristic, complemented
13#20243406C211yesmaximal, characteristic, complemented
14#20243261C211yesmaximal, characteristic, complemented
15C47×#1866C211yesmaximal, characteristic, complemented
16C2×#13094044C2211yescharacteristic
17C2×#13094032C2211yescharacteristic
18C2×#13094031C2211yescharacteristic
19C2×#13094030C2211yescharacteristic
20#41×Dic47C2211yescharacteristic
21#15689591C2211yescharacteristic
22#15689242—24no—
23#15689238—24no—
24#15689232C411yescharacteristic, complemented
25#15689232C411yescharacteristic, complemented
26#15689227C411yescharacteristic, complemented
27#15689227C411yescharacteristic, complemented
28#15689226C411yescharacteristic, complemented
29#15689226C411yescharacteristic, complemented
30#15689220C411yescharacteristic, complemented
31#15689220C411yescharacteristic, complemented
32C2×#13093960C2211yescharacteristic
33C2×#13093959C2211yescharacteristic
34C2×#13093959C2211yescharacteristic
35#15689159C2211yescharacteristic
36#15689151—21no—
37#15689151C2211yescharacteristic
38#15689150C2211yescharacteristic
39#15689149—21no—
40#15689149C2211yescharacteristic
41#15689148—21no—
42#15689148—21no—
43#15689146—21no—
44#15689146C2211yescharacteristic
45#15689146C2211yescharacteristic
46#15689145—21no—
47C2×Dic47⋊C8—21no—
48C2×Dic47⋊C8C2211yescharacteristic
49C4⋊C8×D47—21no—
50C2×#13093952C2211yescharacteristic
51C2×#13093951C2211yescharacteristic
52C2×#13093950C2211yescharacteristic
53#15689120C2211yescharacteristic
54C2×#13093935C2211yescharacteristic
55C2×#13093934C2211yescharacteristic
56C2×C8×Dic47C2211yescharacteristic
57C4×Dic47⋊C4C2211yescharacteristic
58#15688884C2211yescharacteristic
59#15688883C2211yescharacteristic
60#15688882C2211yescharacteristic
61#15688877C2211yescharacteristic
62C2×#131×C47C2211yescharacteristic
63C2×#108×C47C2211yescharacteristic
64C47×#424C2211yescharacteristic
65C2×#104×C47C2211yescharacteristic
66C47×#416C2211yescharacteristic
67C47×#339C2211yescharacteristic
68C47×#336C2211yescharacteristic
69C2×#10625350C2311yescharacteristic
70#13094044D414yes—
71#13094044Q814yes—
72C2×#10625337C2×C411yescharacteristic
73C2×#10625335C2×C411yescharacteristic
74C2×#10625336C2×C411yescharacteristic
75C2×#10625334C2×C411yescharacteristic
76#13094032—22no—
77#13094032—41no—
78#13094031—22no—
79#13094031—41no—
80#13094030—22no—
81#13094030—41no—
82C2×#10625329—21no—
83C2×#10625329C2311yescharacteristic
84C2×#10625329C2311yescharacteristic
85C2×#10625324—21no—
86C2×#10625324—21no—
87C22×C47⋊C8—21no—
88C22×C47⋊C8C2311yescharacteristic
89C22×C47⋊C8C2311yescharacteristic
90C2×C8×D47—21no—
91C2×C8×D47—21no—
92Q8×Dic47C2×C411yescharacteristic
93Q8×Dic47C2×C411yescharacteristic
94#13093989C2×C411yescharacteristic
95#13093989C2×C411yescharacteristic
96D4×Dic47—21no—
97D4×Dic47—21no—
98D4×Dic47C2×C411yescharacteristic
99D4×Dic47C2×C411yescharacteristic
100#13093986C2×C411yescharacteristic
101#13093986C2×C411yescharacteristic
102(C22⋊D47)⋊C4—21no—
103(C22⋊D47)⋊C4—21no—
104#13093983—21no—
105#13093983C2311yescharacteristic
106#13093981—21no—
107C2×Dic47⋊C4—21no—
108C2×C4×Dic47—21no—
109C2×C4×Dic47C2311yescharacteristic
110C2×C4×Dic47C2311yescharacteristic
111C42×D47—21no—
112#13093960—41no—
113#13093959—22no—
114#13093959—22no—
115#13093957C2×C411yescharacteristic
116#13093957C2×C411yescharacteristic
117#13093955C2×C411yescharacteristic
118#13093955C2×C411yescharacteristic
119C4⋊(C47⋊C8)—21no—
120C4⋊(C47⋊C8)—21no—
121Dic47⋊C8—21no—
122Dic47⋊C8—21no—
123Dic47⋊C8—21no—
124Dic47⋊C8—21no—
125Dic47⋊C8—21no—
126Dic47⋊C8—21no—
127Dic47⋊C8—21no—
128Dic47⋊C8—21no—
129Dic47⋊C8D411yescharacteristic
130Dic47⋊C8D411yescharacteristic
131Dic47⋊C8D411yescharacteristic
132Dic47⋊C8D411yescharacteristic
133#13093952—22no—
134#13093951—22no—
135#13093950—22no—
136#13093949C2×C411yescharacteristic
137#13093949C2×C411yescharacteristic
138#13093946C2×C411yescharacteristic
139#13093946C2×C411yescharacteristic
140#13093935—22no—
141#13093934C2×C411yescharacteristic
142#13093934C2×C411yescharacteristic
143#13093934C2×C411yescharacteristic
144#13093934C2×C411yescharacteristic
145C8×Dic47—22no—
146C47⋊#95—21no—
147C2×#41×C47C2311yescharacteristic
148#131×C47—22no—
149#131×C47—41no—
150C2×M16×C47—21no—
151C2×M16×C47C2311yescharacteristic
152C2×M16×C47C2311yescharacteristic
153C22×C8×C47—21no—
154C22×C8×C47C2311yescharacteristic
155C22×C8×C47C2311yescharacteristic
156#117×C47C2311yescharacteristic
157C2×C42×C47C2311yescharacteristic
158#108×C47—41no—
159C4⋊C8×C47—21no—
160C4⋊C8×C47—21no—
161#104×C47—22no—
162#103×C47C2×C411yescharacteristic
163#103×C47C2×C411yescharacteristic
164#102×C47C2×C411yescharacteristic
165#102×C47C2×C411yescharacteristic
166#41×C47—21no—
167#41×C47—21no—
168#41×C47C2×D412yes—
169#41×C47C2×Q812yes—
170C2×Q8×C47C22×C411yescharacteristic
171C2×D4×C47—21no—
172C2×D4×C47C22×C411yescharacteristic
173C22×C4×C47—21no—
174C22×C4×C47—21no—
175C22×C4×C47C2411yescharacteristic
176C2×C22⋊D47—21no—
177C22×Dic47—21no—
178C22×Dic47—21no—
179C22×Dic47—21no—
180C22×Dic47#4111yescharacteristic
181C22×Dic47#4111yescharacteristic
182#10625350—21no—
183#10625350—21no—
184#10625350C2×D412yes—
185#10625350C2×Q812yes—
186C2×D188C22×C411yescharacteristic
187C2×C4×D47—21no—
188C2×C4×D47—21no—
189C2×C4×D47—21no—
190C2×Dic94C22×C411yescharacteristic
191M16×C47—21no—
192M16×C47—21no—
193M16×C47—21no—
194M16×C47—21no—
195M16×C47—42no—
196C2×C8×C47—21no—
197C2×C8×C47—21no—
198C2×C8×C47—21no—
199C2×C8×C47—21no—
200C2×C8×C47—21no—
201C2×C8×C47—21no—
202C2×C8×C47—42no—
203C2×C8×C47C22×C411yescharacteristic
204C2×C8×C47C22×C411yescharacteristic
205C2×C8×C47C2×D411yescharacteristic
206C2×C8×C47C2×D411yescharacteristic
207C4⋊C4×C47C22×C411yescharacteristic
208C4⋊C4×C47C22×C411yescharacteristic
209C22⋊C4×C47—21no—
210C42×C47—21no—
211C42×C47—21no—
212C42×C47—21no—
213C22⋊Dic47—21no—
214C22⋊Dic47—21no—
215C22⋊Dic47—21no—
216#10625337C4⋊C414yescomplemented
217#10625336C4⋊C414yescomplemented
218#10625335C4⋊C414yescomplemented
219#10625334C4⋊C414yescomplemented
220(C2×D47)⋊C4—21no—
221(C2×D47)⋊C4—21no—
222C4⋊Dic47—21no—
223C4⋊Dic47—21no—
224C4⋊Dic47C22×C411yescharacteristic
225C4⋊Dic47C22×C411yescharacteristic
226Dic47⋊C4—21no—
227Dic47⋊C4—21no—
228Dic47⋊C4—42no—
229C4×Dic47—21no—
230C4×Dic47—21no—
231C4×Dic47—21no—
232C4×Dic47—21no—
233C4×Dic47—21no—
234C4×Dic47—21no—
235C4×Dic47—21no—
236C4×Dic47C22×C411yescharacteristic
237C4×Dic47C22×C411yescharacteristic
238C4×Dic47C2×D411yescharacteristic
239C4×Dic47C2×D411yescharacteristic
240#10625329—21no—
241#10625329—21no—
242#10625329—21no—
243#10625329—21no—
244#10625329—42no—
245C2×C47⋊C8—21no—
246C2×C47⋊C8—21no—
247C2×C47⋊C8—21no—
248C2×C47⋊C8—21no—
249C2×C47⋊C8—42no—
250C2×C47⋊C8C22×C411yescharacteristic
251C2×C47⋊C8C22×C411yescharacteristic
252C2×C47⋊C8C2×D411yescharacteristic
253C2×C47⋊C8C2×D411yescharacteristic
254C2×C47⋊C8C2×D412yes—
255C2×C47⋊C8C2×Q812yes—
256#10625324—42no—
257#10625324—42no—
258C8×D47—42no—
259C8×D47—42no—
260C23×C47—21no—
261C23×C47C2×#4111yescharacteristic
262C22×D47—21no—
263Q8×C47—21no—
264Q8×C47C2×C4⋊C412yes—
265D4×C47—22no—
266D4×C47—22no—
267D4×C47—21no—
268D4×C47C2×C4⋊C412yes—
269C2×C4×C47—21no—
270C2×C4×C47—22no—
271C2×C4×C47—22no—
272C2×C4×C47—21no—
273C2×C4×C47—21no—
274C2×C4×C47—41no—
275C2×C4×C47—41no—
276C2×C4×C47—41no—
277C2×C4×C47C23×C411yescharacteristic
278C2×C4×C47C22×D411yescharacteristic
279C2×C4×C47C22×D411yescharacteristic
280C2×C4×C47C22×Q811yescharacteristic
281C2×C4×C47H(5,𝔽2)11yescharacteristic
282C2×C4×C472−1+411yescharacteristic
283C22⋊D47—22no—
284C22⋊D47—22no—
285C2×Dic47—21no—
286C2×Dic47—22no—
287C2×Dic47—21no—
288C2×Dic47—21no—
289C2×Dic47—41no—
290C2×Dic47—41no—
291C2×Dic47—42no—
292C2×Dic47—41no—
293C2×Dic47—41no—
294C2×Dic47—81no—
295C2×Dic47C4×D411yescharacteristic
296C2×Dic47C4×D411yescharacteristic
297C2×Dic47C4×D411yescharacteristic
298C2×Dic47C4×D411yescharacteristic
299D188—21no—
300D188C2×C4⋊C412yes—
301C4×D47—22no—
302C4×D47—22no—
303C4×D47—42no—
304C4×D47—81no—
305Dic94—21no—
306Dic94C2×C4⋊C412yes—
307C8×C47—21no—
308C8×C47—21no—
309C8×C47—21no—
310C8×C47—21no—
311C8×C47—41no—
312C8×C47—41no—
313C47⋊C8—21no—
314C47⋊C8—21no—
315C47⋊C8—41no—
316C47⋊C8—41no—
317C47⋊C8C2×C4⋊C412yes—
318C47⋊C8C2×C4⋊C412yes—
319#22687—471nomaximal, Sylow
320C22×C47—21no—
321C22×C47—21no—
322C22×C47—22no—
323C22×C47—41no—
324C22×C47—41no—
325C22×C47C2×C4×D411yescharacteristic
326C22×C47#54711yescharacteristic
327C22×C47#55411yescharacteristic
328C2×D47—22no—
329C2×D47—41no—
330C2×D47—41no—
331C4×C47—22no—
332C4×C47—41no—
333C4×C47—41no—
334C4×C47—81no—
335C4×C47C22×C4⋊C411yescharacteristic
336C4×C47#52011yescharacteristic
337C4×C47D4211yescharacteristic
338C4×C47D4×Q811yescharacteristic
339Dic47—22no—
340Dic47—21no—
341Dic47—21no—
342Dic47—21no—
343Dic47—21no—
344Dic47—42no—
345Dic47—41no—
346Dic47—41no—
347C2×#444—471no—
348C2×#443—471no—
349#2943—471no—
350#2906—471no—
351#2906—471no—
352#1946—471no—
353#1945—471no—
354#1866—471no—
355#1866—471no—
356#1866—471no—
357#1866D4711yescharacteristic, complemented
358#1849—471no—
359#1806—471no—
360#1806—471no—
361#1771—471no—
362C2×C47—21no—
363C2×C47—21no—
364C2×C47—42no—
365C2×C47D4×C4⋊C411yescharacteristic
366C2×C47#295511yescharacteristic
367C2×C47#295611yescharacteristic
368D47—42no—
369C2×#135—471no—
370C2×#131—471no—
371C2×#131—471no—
372C2×#131—471no—
373C2×#131C2×D4711yescharacteristic
374C4×#41—471no—
375C4×#41—471no—
376#444—944no—
377#443—944no—
378#442—471no—
379#442—471no—
380#441—471no—
381#441—471no—
382#440—471no—
383#440—471no—
384#440—471no—
385#440—471no—
386C2×#108—471no—
387C2×#108—471no—
388C2×#108—471no—
389C2×#108C2×D4711yescharacteristic
390#427—471no—
391#424—471no—
392#424—471no—
393#424—471no—
394#424—941no—
395#424—941no—
396#424—941no—
397#424—941no—
398#424C2×D4711yescharacteristic
399#423—471no—
400#423—471no—
401#423—941no—
402#423—941no—
403C2×C4⋊C8—471no—
404C2×C4⋊C8—941no—
405C2×C4⋊C8—941no—
406C2×#104—471no—
407C2×#104—471no—
408C2×#104—471no—
409C2×#104C2×D4711yescharacteristic
410#416—471no—
411#416C2×D4711yescharacteristic
412C2×#97—471no—
413C2×#97—471no—
414C2×C4×C8—471no—
415C4×C4⋊C4—471no—
416#339—471no—
417#339—471no—
418#339—471no—
419#339C2×D4711yescharacteristic
420#336—471no—
421#336C2×D4711yescharacteristic
422C47#2268711yescharacteristic, complemented, Sylow
423C2×#41—471no—
424C2×#41C22×D4711yescharacteristic
425#135—474no—
426#135—474no—
427C2×Q16—471no—
428C2×SD16—471no—
429C2×SD16—471no—
430C2×D8—471no—
431#131—22no—
432#131—41no—
433#131—942no—
434#131—942no—
435#131—942no—
436#131—1881no—
437#131—1881no—
438#131—1881no—
439C2×M16—21no—
440C2×M16—471no—
441C2×M16—471no—
442C2×M16—941no—
443C2×M16—941no—
444C2×M16—941no—
445C2×M16C22×D4711yescharacteristic
446C2×M16C22×D4711yescharacteristic
447C22×C8—21no—
448C22×C8—471no—
449C22×C8—471no—
450C22×C8—941no—
451C22×C8—941no—
452C22×C8—941no—
453C22×C8C22×D4711yescharacteristic
454C22×C8C22×D4711yescharacteristic
455C4×Q8—471no—
456C4×Q8—471no—
457C4×Q8—471no—
458C4×Q8—471no—
459C4×D4—471no—
460C4×D4—471no—
461C4×D4—471no—
462C4×D4—471no—
463C4×D4—941no—
464C4×D4—941no—
465C4×D4—941no—
466C4×D4—941no—
467#117—471no—
468#117—941no—
469#117—941no—
470#117C22×D4711yescharacteristic
471C2×C4⋊C4—941no—
472C2×C42—471no—
473C2×C42—471no—
474C2×C42—941no—
475C2×C42—941no—
476C2×C42C22×D4711yescharacteristic
477#108—41no—
478#108—942no—
479#108—942no—
480#108—1881no—
481#107—471no—
482#107—471no—
483#106—471no—
484#106—471no—
485C4⋊C8—21no—
486C4⋊C8—21no—
487C4⋊C8—471no—
488C4⋊C8—471no—
489C4⋊C8—471no—
490C4⋊C8—471no—
491C4⋊C8—941no—
492C4⋊C8—941no—
493C4⋊C8—941no—
494C4⋊C8—941no—
495C4⋊C8—941no—
496C4⋊C8—941no—
497C4⋊C8—941no—
498C4⋊C8—941no—
499C4⋊C8—941no—
500C4⋊C8—941no—
501#104—22no—
502#104—942no—
503#104—942no—
504#104—942no—
505#103—471no—
506#103—471no—
507#103C4×D4711yescharacteristic
508#103C4×D4711yescharacteristic
509#102—471no—
510#102—471no—
511#102C4×D4711yescharacteristic
512#102C4×D4711yescharacteristic
513#97—471no—
514#97—471no—
515#97—471no—
516#97—471no—
517#97—942no—
518C4×C8—942no—
519#95—941no—
520#41—21no—
521#41—21no—
522#41—472no—
523#41—472no—
524#41—941no—
525#41—941no—
526#41D4×D4712yes—
527#41Q8×D4712yes—
528C2×Q8—471no—
529C2×Q8C2×C4×D4711yescharacteristic
530C2×D4—21no—
531C2×D4—471no—
532C2×D4—941no—
533C2×D4C2×C4×D4711yescharacteristic
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—471no—
537C22×C4—471no—
538C22×C4—941no—
539C22×C4—941no—
540C22×C4—941no—
541C22×C4—941no—
542C22×C4—941no—
543C22×C4—941no—
544C22×C4C23×D4711yescharacteristic
545Q16—474no—
546SD16—474no—
547SD16—474no—
548D8—474no—
549M16—21no—
550M16—21no—
551M16—21no—
552M16—21no—
553M16—42no—
554M16—941no—
555M16—941no—
556M16—941no—
557M16—941no—
558M16—1882no—
559M16—1882no—
560M16—1882no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8—42no—
568C2×C8—471no—
569C2×C8—471no—
570C2×C8—472no—
571C2×C8—472no—
572C2×C8—471no—
573C2×C8—471no—
574C2×C8—941no—
575C2×C8—941no—
576C2×C8—941no—
577C2×C8—941no—
578C2×C8—1882no—
579C2×C8—1882no—
580C2×C8—1882no—
581C2×C8C2×C4×D4711yescharacteristic
582C2×C8C2×C4×D4711yescharacteristic
583C2×C8D4×D4711yescharacteristic
584C2×C8D4×D4711yescharacteristic
585C4⋊C4—471no—
586C4⋊C4—471no—
587C4⋊C4—941no—
588C4⋊C4—941no—
589C4⋊C4—941no—
590C4⋊C4—941no—
591C4⋊C4—1882no—
592C4⋊C4C2×C4×D4711yescharacteristic
593C4⋊C4C2×C4×D4711yescharacteristic
594C22⋊C4—21no—
595C22⋊C4—941no—
596C22⋊C4—941no—
597C22⋊C4—941no—
598C22⋊C4—941no—
599C22⋊C4—941no—
600C42—21no—
601C42—21no—
602C42—21no—
603C42—471no—
604C42—471no—
605C42—471no—
606C42—471no—
607C42—941no—
608C42—941no—
609C42—941no—
610C42—941no—
611C42—941no—
612C42—941no—
613C42—941no—
614C23—21no—
615C23—941no—
616C23#41×D4711yescharacteristic
617Q8—21no—
618Q8—472no—
619Q8—941no—
620Q8C4⋊C4×D4712yes—
621D4—22no—
622D4—22no—
623D4—21no—
624D4—472no—
625D4—942no—
626D4—942no—
627D4—941no—
628D4C4⋊C4×D4712yes—
629C2×C4—21no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—471no—
638C2×C4—471no—
639C2×C4—471no—
640C2×C4—471no—
641C2×C4—941no—
642C2×C4—942no—
643C2×C4—942no—
644C2×C4—942no—
645C2×C4—941no—
646C2×C4—941no—
647C2×C4—3761no—
648C2×C4—3761no—
649C2×C4—1882no—
650C2×C4—1881no—
651C2×C4—1881no—
652C2×C4—1882no—
653C2×C4—1881no—
654C2×C4—1881no—
655C2×C4C22×C4×D4711yescharacteristic
656C2×C4C2×D4×D4711yescharacteristic
657C2×C4C2×D4×D4711yescharacteristic
658C2×C4C2×Q8×D4711yescharacteristic
659C2×C4#1309406911yescharacteristic
660C2×C4#1309407111yescharacteristic
661C8—21no—
662C8—21no—
663C8—21no—
664C8—21no—
665C8—41no—
666C8—41no—
667C8—472no—
668C8—472no—
669C8—941no—
670C8—941no—
671C8—1881no—
672C8—1881no—
673C22—21no—
674C22—21no—
675C22—22no—
676C22—41no—
677C22—41no—
678C22—942no—
679C22—1881no—
680C22—1881no—
681C22C4×D4×D4711yescharacteristic
682C22#1568977111yescharacteristic
683C22#1568982711yescharacteristic
684C4—22no—
685C4—41no—
686C4—41no—
687C4—81no—
688C4—942no—
689C4—941no—
690C4—941no—
691C4—941no—
692C4—941no—
693C4—1882no—
694C4—1881no—
695C4—1881no—
696C4C2×C4⋊C4×D4711yescharacteristic
697C4#1568960211yescharacteristic
698C4#1568975511yescharacteristic
699C4#1568978611yescharacteristic
700C2—21no—
701C2—21no—
702C2—42no—
703C2—1882no—
704C2#2024628611yescharacteristic
705C2#2025228611yescharacteristic
706C2#2025229611yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D47
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
FittingC47×#1866C2
socleC22×C47C2×C4×D4
prime radicalC2×#13094044C22
cosocleC22×C4×C47C24
hypercenter#1866D47
hypocenterC47#22687
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C2×C4 ◁ C22×C8 ◁ #1866

Complements

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

NH ≅ G/Ntype
4. #20251955C2semidirect
5. #20251954C2semidirect
6. #20244140C2semidirect
7. #20244133C2semidirect
8. #20243666C2semidirect
9. #20243665C2semidirect
10. #20243660C2semidirect
11. #20243561C2semidirect
12. #20243407C2semidirect
13. #20243406C2semidirect
14. #20243261C2semidirect
15. C47×#1866C2semidirect
24. #15689232C4semidirect
25. #15689232C4semidirect
26. #15689227C4semidirect
27. #15689227C4semidirect
28. #15689226C4semidirect
29. #15689226C4semidirect
30. #15689220C4semidirect
31. #15689220C4semidirect
216. #10625337C4⋊C4semidirect
217. #10625336C4⋊C4semidirect
218. #10625335C4⋊C4semidirect
219. #10625334C4⋊C4semidirect
357. #1866D47semidirect
422. C47#22687semidirect

Maximal subgroups

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

subgroupindex
C2×#156892422
C2×#156892382
#202521842
#202519552
#202519542
#202441402
#202441332
#202436662
#202436652
#202436602
#202435612
#202434072
#202434062
#202432612
C47×#18662
#2268747