Finite Group Databasebeta

← #27079959

Subgroups — #27079959

Order 12032.

2694 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689889C211yesmaximal, characteristic
2#20256589C211yesmaximal, characteristic
3C2×#15689604C211yesmaximal, characteristic
4#20251987C214yesmaximal, complemented
5#20251984C214yesmaximal, complemented
6#20251982C214yesmaximal, complemented
7#20251979C214yesmaximal, complemented
8#20251978C211yesmaximal, characteristic, complemented
9#20251977C211yesmaximal, characteristic, complemented
10#20251975C214yesmaximal, complemented
11C2×#15689163C211yesmaximal, characteristic, complemented
12#428×D47C214yesmaximal, complemented
13C2×C47×#428C211yesmaximal, characteristic, complemented
14C22×#10625350C2211yescharacteristic
15#15689889C4116yescomplemented
16C2×#13094032C2214yes—
17C2×#13094030C2214yes—
18C22×#10625329C2211yescharacteristic
19C2×M16×D47C2214yes—
20#15689604—22no—
21#15689604—22no—
22#15689604C2214yes—
23#15689604C2214yes—
24#15689604C2212yes—
25#15689604C2212yes—
26#15689603C2212yes—
27#15689603C2212yes—
28#15689600—21no—
29#15689597—21no—
30#15689596—22no—
31C4×#10625350—22no—
32#15689591—22no—
33C2×#13093989—21no—
34C2×#13093986—21no—
35C2×C4×C22⋊D47—22no—
36C2×#13093983C2211yescharacteristic
37C2×#13093983C2211yescharacteristic
38C2×#13093982C2212yes—
39#117×D47C2214yes—
40C2×C4⋊C4×D47C2212yes—
41#15689166C2212yes—
42#15689166C2212yes—
43#15689165C2212yes—
44#15689165C2212yes—
45#15689165C2212yescomplemented
46#15689165C2212yescomplemented
47#15689164C2218yescomplemented
48#15689164C2218yescomplemented
49#15689163C2214yes—
50#15689163C2214yescomplemented
51#15689163C2212yescomplemented
52#15689163C2212yescomplemented
53#15689162C2218yescomplemented
54#15689162C2218yescomplemented
55#15689161C2214yescomplemented
56#15689160C2218yescomplemented
57#15689159C2214yescomplemented
58#15689158C2218yescomplemented
59C2×#13093957C2212yescomplemented
60#107×D47C2218yescomplemented
61C2×#13093955C2212yescomplemented
62#106×D47C2218yescomplemented
63C22×M16×C47C2211yescharacteristic
64C2×#117×C47C2211yescharacteristic
65C22×C4⋊C4×C47C2211yescharacteristic
66C47×#428C2214yes—
67C47×#428C2214yescomplemented
68C2×#107×C47C2212yescomplemented
69C2×#106×C47C2212yescomplemented
70C2×#10625350C2×C418yes—
71C2×#10625350D412yes—
72C2×#10625350D412yes—
73C2×#10625350Q818yes—
74C2×#10625350C2312yes—
75C2×#10625350C2312yes—
76C22×Dic94D411yescharacteristic
77C22×D188D411yescharacteristic
78C22×C22⋊D47D412yes—
79C22×C4×D47—22no—
80C22×C4×D47C2312yes—
81#13094032C2×C4132yescomplemented
82#13094030C2×C4132yescomplemented
83C2×#10625329C2×C418yescomplemented
84C2×#10625329C2312yes—
85C2×#10625329C2312yes—
86C2×#10625324C2318yes—
87M16×D47C2×C4132yescomplemented
88C22×C47⋊C8C2312yes—
89C2×C8×D47C2318yes—
90C4×Dic94—22no—
91C4×Dic94—22no—
92#13093989—24no—
93#13093989—24no—
94#13093989—22no—
95#13093989—22no—
96C4×D188—22no—
97C4×D188—22no—
98#13093986—24no—
99#13093986—24no—
100#13093986—22no—
101#13093986—22no—
102C4×C22⋊D47—28no—
103C4×C22⋊D47—28no—
104C4×C22⋊D47—24no—
105C4×C22⋊D47—24no—
106(C22⋊D47)⋊C4—24no—
107(C22⋊D47)⋊C4—24no—
108#13093983—21no—
109#13093983—21no—
110#13093983—21no—
111#13093983—21no—
112#13093983C2312yes—
113#13093983C2312yes—
114#13093983C2312yes—
115#13093983C2312yes—
116#13093982—24no—
117#13093982C2314yes—
118#13093982C2314yes—
119#13093982C2318yes—
120#13093981—24no—
121#13093980—24no—
122C2×C4⋊Dic47C2311yescharacteristic
123C2×C4⋊Dic47C2311yescharacteristic
124C2×C4⋊Dic47C2311yescharacteristic
125C2×C4⋊Dic47C2311yescharacteristic
126C2×Dic47⋊C4—22no—
127C4⋊C4×D47—24no—
128C4⋊C4×D47C2318yes—
129C4⋊C4×D47C2314yes—
130C4⋊C4×D47C2314yes—
131C2×C22⋊Dic47—21no—
132C2×C22⋊Dic47—21no—
133C2×(C2×D47)⋊C4—22no—
134C22⋊C4×D47—24no—
135C2×C4×Dic47—21no—
136C2×C4×Dic47—21no—
137C2×C4×Dic47—22no—
138C42×D47—24no—
139#13093958C2314yes—
140#13093958C2314yes—
141#13093957C2314yes—
142#13093957C2318yes—
143#13093957C2314yes—
144#13093956C2314yes—
145#13093956C2314yes—
146#13093955C2314yes—
147#13093955C2318yes—
148#13093955C2314yes—
149C23×C4×C47—21no—
150C23×C4×C47C2311yescharacteristic
151C2×M16×C47C2×C418yescomplemented
152C2×M16×C47C2312yes—
153C2×M16×C47C2312yes—
154C22×C8×C47C2312yes—
155#117×C47—21no—
156#117×C47—21no—
157#117×C47C2312yes—
158#117×C47C2312yes—
159C2×C4⋊C4×C47—21no—
160C2×C4⋊C4×C47—21no—
161C2×C4⋊C4×C47—21no—
162C2×C4⋊C4×C47C2312yes—
163C2×C4⋊C4×C47C2312yes—
164C2×C4⋊C4×C47C2312yes—
165C2×C4⋊C4×C47C2311yescharacteristic
166C2×C4⋊C4×C47C2311yescharacteristic
167C2×C22⋊C4×C47—21no—
168C2×C42×C47—21no—
169#107×C47C2318yes—
170#106×C47C2318yes—
171C24×C47C2×D411yescharacteristic
172C23×D47C2×D412yes—
173C22×C4×C47—22no—
174C22×C4×C47—21no—
175C22×C4×C47—21no—
176C22×C4×C47—22no—
177C22×C4×C47—22no—
178C22×C4×C47—82no—
179C22×C4×C47C22×C414yes—
180C22×C4×C47C2×D411yescharacteristic
181C22×C4×C47C2×D411yescharacteristic
182C22×C4×C47C2×D411yescharacteristic
183C22×C4×C47C2×Q814yes—
184C22×C4×C47C2411yescharacteristic
185C22×C4×C47C2411yescharacteristic
186C22×C4×C47C2411yescharacteristic
187C2×C22⋊D47C4⋊C4116yes—
188C2×C22⋊D47C2×D414yes—
189C2×C22⋊D47C2×D414yes—
190C22×Dic47—21no—
191C22×Dic47—21no—
192C22×Dic47—21no—
193C22×Dic47—21no—
194C22×Dic47C2×D412yes—
195#10625350C4⋊C4116yes—
196#10625350C4⋊C4116yes—
197#10625350C22×C418yes—
198#10625350C22×C418yes—
199#10625350C2×Q818yes—
200#10625350C2×Q818yes—
201C2×D188C4⋊C418yes—
202C2×D188C2×D412yes—
203C2×D188C2×D412yes—
204C2×C4×D47—24no—
205C2×C4×D47—24no—
206C2×C4×D47—28no—
207C2×C4×D47—84no—
208C2×C4×D47C22×C418yes—
209C2×C4×D47C2×D414yes—
210C2×C4×D47C2×Q818yes—
211C2×C4×D47C2414yes—
212C2×Dic94C4⋊C418yes—
213C2×Dic94C2×D412yes—
214C2×Dic94C2×D412yes—
215M16×C47C22×C418yes—
216M16×C47C22×C418yescomplemented
217C2×C8×C47C22×C418yescomplemented
218C2×C8×C47C2414yes—
219C4⋊C4×C47—22no—
220C4⋊C4×C47—22no—
221C4⋊C4×C47—22no—
222C4⋊C4×C47—21no—
223C4⋊C4×C47—21no—
224C4⋊C4×C47C2412yes—
225C4⋊C4×C47C2414yes—
226C4⋊C4×C47C2412yes—
227C22⋊C4×C47—22no—
228C22⋊C4×C47—22no—
229C42×C47—22no—
230C42×C47—22no—
231C22⋊Dic47—22no—
232C22⋊Dic47—22no—
233C22⋊Dic47—22no—
234C22⋊Dic47—22no—
235(C2×D47)⋊C4—24no—
236(C2×D47)⋊C4—24no—
237(C2×D47)⋊C4—28no—
238C4⋊Dic47—21no—
239C4⋊Dic47—21no—
240C4⋊Dic47—21no—
241C4⋊Dic47—21no—
242C4⋊Dic47C2412yes—
243C4⋊Dic47C2412yes—
244C4⋊Dic47C2412yes—
245C4⋊Dic47C2412yes—
246Dic47⋊C4—28no—
247Dic47⋊C4—24no—
248Dic47⋊C4—24no—
249C4×Dic47—22no—
250C4×Dic47—22no—
251C4×Dic47—22no—
252C4×Dic47—22no—
253C4×Dic47—24no—
254C4×Dic47—24no—
255C4×Dic47—28no—
256#10625329C22×C418yes—
257#10625329C22×C418yescomplemented
258C2×C47⋊C8C22×C418yescomplemented
259C2×C47⋊C8C2414yes—
260#10625324C22×C4132yescomplemented
261C8×D47C22×C4132yescomplemented
262C23×C47—41no—
263C23×C47—41no—
264C23×C47C2×C4⋊C414yes—
265C23×C47C22×D411yescharacteristic
266C23×C47C22×D411yescharacteristic
267C23×C47C22×D411yescharacteristic
268C22×D47—42no—
269C22×D47—42no—
270C22×D47C2×C4⋊C418yes—
271C22×D47C22×D414yes—
272C2×C4×C47—22no—
273C2×C4×C47—22no—
274C2×C4×C47—24no—
275C2×C4×C47—44no—
276C2×C4×C47—81no—
277C2×C4×C47—81no—
278C2×C4×C47—82no—
279C2×C4×C47—82no—
280C2×C4×C47C2×C4⋊C414yes—
281C2×C4×C47C2×C4⋊C414yes—
282C2×C4×C47C2×C4⋊C414yes—
283C2×C4×C47C23×C412yes—
284C2×C4×C47C23×C412yes—
285C2×C4×C47C23×C412yes—
286C2×C4×C47C22×D411yescharacteristic
287C2×C4×C47C22×D411yescharacteristic
288C2×C4×C47C22×D411yescharacteristic
289C2×C4×C47C22×Q812yes—
290C2×C4×C47C22×Q812yes—
291C2×C4×C47C22×Q812yes—
292C2×C4×C47C2511yescharacteristic
293C22⋊D47C2×C4⋊C4116yes—
294C22⋊D47C2×C4⋊C4116yes—
295C2×Dic47—22no—
296C2×Dic47—22no—
297C2×Dic47—22no—
298C2×Dic47—22no—
299C2×Dic47—42no—
300C2×Dic47—42no—
301C2×Dic47—81no—
302C2×Dic47—81no—
303C2×Dic47C2×C4⋊C418yes—
304C2×Dic47C22×D414yes—
305D188C2×C4⋊C418yes—
306D188C2×C4⋊C418yes—
307C4×D47—84no—
308C4×D47—84no—
309C4×D47—88no—
310C4×D47C2×C4⋊C4116yes—
311C4×D47C23×C418yes—
312C4×D47C22×Q818yes—
313Dic94C2×C4⋊C418yes—
314Dic94C2×C4⋊C418yes—
315C8×C47C23×C418yes—
316C47⋊C8C23×C418yes—
317#60109—471nomaximal, Sylow
318C22×C47—21no—
319C22×C47—21no—
320C22×C47—21no—
321C22×C47—21no—
322C22×C47—21no—
323C22×C47—21no—
324C22×C47—44no—
325C22×C47C22×C4⋊C412yes—
326C22×C47C22×C4⋊C412yes—
327C22×C47C22×C4⋊C412yes—
328C22×C47C23×D411yescharacteristic
329C2×D47—24no—
330C2×D47—24no—
331C2×D47—48no—
332C2×D47C22×C4⋊C418yes—
333C4×C47—44no—
334C4×C47—42no—
335C4×C47—42no—
336C4×C47C22×C4⋊C412yes—
337C4×C47C22×C4⋊C412yes—
338C4×C47C22×C4⋊C412yes—
339C4×C47C24×C411yescharacteristic
340C4×C47C23×Q811yescharacteristic
341Dic47—42no—
342Dic47—42no—
343Dic47—42no—
344Dic47—42no—
345Dic47C22×C4⋊C418yes—
346C2×#568—471no—
347#3428—471no—
348C2×#520—471no—
349#2913—474no—
350#2913—474no—
351#2912—474no—
352#2912—474no—
353#2911—474no—
354#2911—471no—
355#2911—471no—
356C2×#428—474no—
357C2×#428—471no—
358C2×#428D4711yescharacteristic, complemented
359C2×C47—22no—
360C2×C47—22no—
361C2×C47—22no—
362C2×C47C23×C4⋊C411yescharacteristic
363C2×C47#358511yescharacteristic
364C2×C47#358611yescharacteristic
365D47—28no—
366C22×#41—471no—
367#568—4716no—
368C2×#131—474no—
369C2×#131—474no—
370C22×M16—471no—
371C22×M16—474no—
372C22×M16C2×D4711yescharacteristic
373#520—472no—
374#520—472no—
375#520—472no—
376#520—474no—
377#520—474no—
378#520—472no—
379#520—942no—
380#520—942no—
381#519—941no—
382#518—942no—
383#518—941no—
384C4×#41—942no—
385C4×#41—942no—
386C2×C4×Q8—941no—
387C2×C4×D4—941no—
388C2×C4×D4—942no—
389C2×#117—471no—
390C2×#117—471no—
391C2×#117—474no—
392C2×#117—472no—
393C2×#117C2×D4711yescharacteristic
394C22×C4⋊C4—472no—
395C22×C4⋊C4C2×D4711yescharacteristic
396#428—472no—
397#428—472no—
398#428—472no—
399#428—472no—
400#428—472no—
401#428—472no—
402#428—474no—
403#428—474no—
404#428—472no—
405#428—472no—
406#428—478no—
407#428—478no—
408#428—478no—
409#428—478no—
410#428C2×D4714yes—
411#428C2×D4714yescomplemented
412#427—474no—
413#427—474no—
414#427—478no—
415#427—478no—
416C2×#107—472no—
417C2×#107—478no—
418C2×#107C2×D4712yescomplemented
419C2×#106—472no—
420C2×#106—478no—
421C2×#106C2×D4712yescomplemented
422C47#6010911yescharacteristic, complemented, Sylow
423C2×#41—478no—
424C2×#41—472no—
425C2×#41—472no—
426C2×#41—478no—
427C2×#41—472no—
428C2×#41—472no—
429C22×Q8—471no—
430C22×D4—472no—
431C22×D4—471no—
432C23×C4—21no—
433C23×C4—472no—
434C23×C4—942no—
435C23×C4C22×D4711yescharacteristic
436#131—4732no—
437#131—4732no—
438C2×M16—478no—
439C2×M16—472no—
440C2×M16—472no—
441C2×M16—4732no—
442C2×M16—478no—
443C2×M16C4×D4718yescomplemented
444C2×M16C22×D4712yes—
445C2×M16C22×D4712yes—
446C22×C8—472no—
447C22×C8—478no—
448C22×C8C22×D4712yes—
449C4×Q8—942no—
450C4×Q8—942no—
451C4×Q8—944no—
452C4×Q8—944no—
453C4×Q8—942no—
454C4×Q8—942no—
455C4×D4—942no—
456C4×D4—942no—
457C4×D4—944no—
458C4×D4—944no—
459C4×D4—944no—
460C4×D4—944no—
461C4×D4—942no—
462C4×D4—942no—
463C4×D4—948no—
464C4×D4—948no—
465C4×D4—944no—
466C4×D4—944no—
467#117—21no—
468#117—21no—
469#117—472no—
470#117—472no—
471#117—472no—
472#117—472no—
473#117—474no—
474#117—478no—
475#117—474no—
476#117—944no—
477#117—944no—
478#117—944no—
479#117—941no—
480#117—941no—
481#117—941no—
482#117—941no—
483#117C22×D4712yes—
484#117C22×D4712yes—
485C2×C4⋊C4—21no—
486C2×C4⋊C4—21no—
487C2×C4⋊C4—21no—
488C2×C4⋊C4—471no—
489C2×C4⋊C4—471no—
490C2×C4⋊C4—471no—
491C2×C4⋊C4—471no—
492C2×C4⋊C4—478no—
493C2×C4⋊C4—474no—
494C2×C4⋊C4—474no—
495C2×C4⋊C4—944no—
496C2×C4⋊C4—942no—
497C2×C4⋊C4C22×D4712yes—
498C2×C4⋊C4C22×D4712yes—
499C2×C4⋊C4C22×D4712yes—
500C2×C4⋊C4C22×D4711yescharacteristic
501C2×C4⋊C4C22×D4711yescharacteristic
502C2×C22⋊C4—21no—
503C2×C22⋊C4—944no—
504C2×C22⋊C4—942no—
505C2×C22⋊C4—941no—
506C2×C22⋊C4—941no—
507C2×C42—21no—
508C2×C42—944no—
509C2×C42—942no—
510C2×C42—941no—
511C2×C42—941no—
512#107—474no—
513#107—474no—
514#107—474no—
515#107—478no—
516#107—474no—
517#107C22×D4718yes—
518#106—474no—
519#106—474no—
520#106—478no—
521#106—474no—
522#106—474no—
523#106C22×D4718yes—
524C24—472no—
525C24D4×D4711yescharacteristic
526#41—4716no—
527#41—4716no—
528#41—478no—
529#41—478no—
530#41—478no—
531#41—478no—
532C2×Q8—478no—
533C2×Q8—472no—
534C2×Q8—472no—
535C2×D4—4716no—
536C2×D4—474no—
537C2×D4—474no—
538C2×D4—478no—
539C2×D4—472no—
540C2×D4—472no—
541C22×C4—22no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—22no—
545C22×C4—22no—
546C22×C4—82no—
547C22×C4—472no—
548C22×C4—478no—
549C22×C4—474no—
550C22×C4—478no—
551C22×C4—474no—
552C22×C4—944no—
553C22×C4—944no—
554C22×C4—948no—
555C22×C4—941no—
556C22×C4—941no—
557C22×C4—941no—
558C22×C4—941no—
559C22×C4—3764no—
560C22×C4C2×C4×D4714yes—
561C22×C4D4×D4711yescharacteristic
562C22×C4D4×D4711yescharacteristic
563C22×C4D4×D4711yescharacteristic
564C22×C4Q8×D4714yes—
565C22×C4C23×D4711yescharacteristic
566C22×C4C23×D4711yescharacteristic
567C22×C4C23×D4711yescharacteristic
568M16—478no—
569M16—478no—
570M16—4732no—
571M16C2×C4×D4718yes—
572M16C2×C4×D4718yescomplemented
573C2×C8—478no—
574C2×C8—474no—
575C2×C8—4732no—
576C2×C8C2×C4×D4718yescomplemented
577C2×C8C23×D4714yes—
578C4⋊C4—22no—
579C4⋊C4—22no—
580C4⋊C4—22no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—472no—
584C4⋊C4—472no—
585C4⋊C4—472no—
586C4⋊C4—472no—
587C4⋊C4—948no—
588C4⋊C4—944no—
589C4⋊C4—944no—
590C4⋊C4—941no—
591C4⋊C4—941no—
592C4⋊C4—941no—
593C4⋊C4—941no—
594C4⋊C4C23×D4712yes—
595C4⋊C4C23×D4714yes—
596C4⋊C4C23×D4712yes—
597C22⋊C4—22no—
598C22⋊C4—22no—
599C22⋊C4—944no—
600C22⋊C4—944no—
601C22⋊C4—948no—
602C22⋊C4—942no—
603C22⋊C4—942no—
604C22⋊C4—942no—
605C22⋊C4—942no—
606C42—22no—
607C42—22no—
608C42—944no—
609C42—944no—
610C42—948no—
611C42—942no—
612C42—942no—
613C42—942no—
614C42—942no—
615C23—41no—
616C23—41no—
617C23—474no—
618C23—478no—
619C23—1882no—
620C23—1882no—
621C23C4⋊C4×D4714yes—
622C23C2×D4×D4711yescharacteristic
623C23C2×D4×D4711yescharacteristic
624C23C2×D4×D4711yescharacteristic
625Q8—478no—
626Q8—478no—
627D4—4716no—
628D4—4716no—
629D4—478no—
630D4—478no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—24no—
634C2×C4—44no—
635C2×C4—81no—
636C2×C4—81no—
637C2×C4—82no—
638C2×C4—82no—
639C2×C4—478no—
640C2×C4—474no—
641C2×C4—4716no—
642C2×C4—478no—
643C2×C4—478no—
644C2×C4—942no—
645C2×C4—942no—
646C2×C4—942no—
647C2×C4—942no—
648C2×C4—3764no—
649C2×C4—3764no—
650C2×C4—3768no—
651C2×C4—3761no—
652C2×C4—3761no—
653C2×C4—1882no—
654C2×C4—1882no—
655C2×C4C4⋊C4×D4714yes—
656C2×C4C4⋊C4×D4714yes—
657C2×C4C4⋊C4×D4714yes—
658C2×C4C22×C4×D4712yes—
659C2×C4C22×C4×D4712yes—
660C2×C4C22×C4×D4712yes—
661C2×C4C2×D4×D4711yescharacteristic
662C2×C4C2×D4×D4711yescharacteristic
663C2×C4C2×D4×D4711yescharacteristic
664C2×C4C2×Q8×D4712yes—
665C2×C4C2×Q8×D4712yes—
666C2×C4C2×Q8×D4712yes—
667C2×C4C24×D4711yescharacteristic
668C8—478no—
669C8C22×C4×D4718yes—
670C22—21no—
671C22—21no—
672C22—21no—
673C22—21no—
674C22—21no—
675C22—21no—
676C22—44no—
677C22—478no—
678C22—944no—
679C22—944no—
680C22—1888no—
681C22C2×C4⋊C4×D4712yes—
682C22C2×C4⋊C4×D4712yes—
683C22C2×C4⋊C4×D4712yes—
684C22C22×D4×D4711yescharacteristic
685C4—44no—
686C4—42no—
687C4—42no—
688C4—478no—
689C4—1882no—
690C4—1882no—
691C4—1882no—
692C4—1882no—
693C4C2×C4⋊C4×D4712yes—
694C4C2×C4⋊C4×D4712yes—
695C4C2×C4⋊C4×D4712yes—
696C4C23×C4×D4711yescharacteristic
697C4C22×Q8×D4711yescharacteristic
698C2—22no—
699C2—22no—
700C2—22no—
701C2—948no—
702C2C22×C4⋊C4×D4711yescharacteristic
703C2#2025816411yescharacteristic
704C2#2025817111yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutatorC4×C47C24×C4
FrattiniC2×C4C24×D47
FittingC2×C47×#428C2
socleC22×C47C23×D4
prime radicalC22×#10625350C22
cosocleC2×C4×C47C25
hypercenterC2×#428D47
hypocenterC47#60109
LCSG ▷ C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#428

Complements

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

NH ≅ G/Ntype
4. #20251987C2semidirect
5. #20251984C2semidirect
6. #20251982C2semidirect
7. #20251979C2semidirect
8. #20251978C2semidirect
9. #20251977C2semidirect
10. #20251975C2semidirect
11. C2×#15689163C2semidirect
12. #428×D47C2semidirect
13. C2×C47×#428C2semidirect
15. #15689889C4semidirect
45. #15689165C22semidirect
46. #15689165C22semidirect
47. #15689164C22semidirect
48. #15689164C22semidirect
50. #15689163C22semidirect
51. #15689163C22semidirect
52. #15689163C22semidirect
53. #15689162C22semidirect
54. #15689162C22semidirect
55. #15689161C22semidirect
56. #15689160C22semidirect
57. #15689159C22semidirect
58. #15689158C22semidirect
59. C2×#13093957C22semidirect
60. #107×D47C22semidirect
61. C2×#13093955C22semidirect
62. #106×D47C22semidirect
67. C47×#428C22semidirect
68. C2×#107×C47C22semidirect
69. C2×#106×C47C22semidirect
81. #13094032C2×C4semidirect
82. #13094030C2×C4semidirect
83. C2×#10625329C2×C4semidirect
87. M16×D47C2×C4semidirect
151. C2×M16×C47C2×C4semidirect
216. M16×C47C22×C4semidirect
217. C2×C8×C47C22×C4semidirect
257. #10625329C22×C4semidirect
258. C2×C47⋊C8C22×C4semidirect
260. #10625324C22×C4semidirect
261. C8×D47C22×C4semidirect
358. C2×#428D47semidirect
411. #428C2×D47semidirect
418. C2×#107C2×D47semidirect
421. C2×#106C2×D47semidirect
422. C47#60109semidirect
443. C2×M16C4×D47semidirect
572. M16C2×C4×D47semidirect
576. C2×C8C2×C4×D47semidirect

Maximal subgroups

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

subgroupindex
C2×#156898892
#202565892
C2×#156896042
#202519872
#202519842
#202519822
#202519792
#202519782
#202519772
#202519752
C2×#156891632
#428×D472
C2×C47×#4282
#6010947