Finite Group Databasebeta

← #6354463

Subgroups — #6354463

Order 512.

2021 conjugacy classes of subgroups.

The subgroup lattice has 818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60940C211yesmaximal, characteristic, complemented
2#60415C211yesmaximal, characteristic, complemented
3C2×#3035C211yesmaximal, characteristic, complemented
4#60276C211yesmaximal, characteristic, complemented
5#19416C214yesmaximal, complemented
6#19410C214yesmaximal, complemented
7#19404C212yesmaximal, complemented
8#19398C212yesmaximal, complemented
9#19392C212yesmaximal, complemented
10#19386C212yesmaximal, complemented
11#19125C218yesmaximal, complemented
12C2×#1571C211yesmaximal, characteristic, complemented
13#17704C211yesmaximal, characteristic, complemented
14C2×#1540C211yesmaximal, characteristic, complemented
15C2×#575—21no—
16C22×#135—21no—
17C2×#532C2211yescharacteristic
18C2×#532C2211yescharacteristic
19C2×C4×#41C2211yescharacteristic
20#3245—22no—
21#3226C2212yes—
22#3226C2212yescomplemented
23#3205C2212yes—
24#3205C2212yescomplemented
25#3186—22no—
26#3169C2214yescomplemented
27#3100—22no—
28#3100—22no—
29#3040—22no—
30#3039C2212yescomplemented
31#3038C2212yescomplemented
32#3037—21no—
33#3037C2212yes—
34#3036—21no—
35#3036C2212yes—
36#3035—22no—
37#3035—22no—
38#3035—22no—
39#3035C2214yes—
40#3035C2214yescomplemented
41#3035C2214yescomplemented
42C2×#464—21no—
43C2×#462C2211yescharacteristic, complemented
44C2×#460C2211yescharacteristic, complemented
45C2×#463—21no—
46C2×#461C2211yescharacteristic, complemented
47C2×#459C2211yescharacteristic, complemented
48#2988—22no—
49#2988C2214yescomplemented
50#2982C2212yescomplemented
51#2972—22no—
52#2972C2212yescomplemented
53C8×#41—22no—
54C8×#41C2214yescomplemented
55C2×#431—22no—
56C2×#431C2211yescharacteristic
57C2×#431C2211yescharacteristic
58C2×#423C2211yescharacteristic
59C22×C4⋊C8C2211yescharacteristic
60#2896—21no—
61C2×#416—21no—
62#1682C2218yescomplemented
63#1682C2218yescomplemented
64#1681C2218yescomplemented
65#1681C2218yescomplemented
66#1674C2218yescomplemented
67#1673C2218yescomplemented
68#1668C2218yescomplemented
69#1667C2218yescomplemented
70#1571C2212yescomplemented
71#1571C2212yescomplemented
72#1571C2214yescomplemented
73C2×#335C2214yescomplemented
74#1547C2214yescomplemented
75#1546C2212yescomplemented
76#1545C2212yescomplemented
77#1540C2212yes—
78#1540C2212yes—
79#1540C2214yescomplemented
80#1540C2214yescomplemented
81C2×#332C2212yescomplemented
82C2×#331C2212yescomplemented
83C22×#41—21no—
84C22×#41—21no—
85C22×#41D411yescharacteristic
86#575—48no—
87C2×#137—22no—
88C2×#137—22no—
89C2×AGL(1,ℤ/8)—22no—
90C2×AGL(1,ℤ/8)—22no—
91C2×#135—24no—
92C2×#135—24no—
93C2×#135—24no—
94C2×#135—48no—
95C22×Q16—21no—
96C22×SD16—21no—
97C22×SD16—21no—
98C22×D8—21no—
99C22×M16—21no—
100C23×C8—21no—
101#532—21no—
102#532—21no—
103#532—21no—
104#532—21no—
105#532—21no—
106#532—21no—
107#532—21no—
108#532—21no—
109#532—21no—
110#532—21no—
111#532—21no—
112#532—21no—
113#532C2312yes—
114#532C2312yes—
115#532C2312yes—
116#532C2312yes—
117C2×C4⋊Q8C2311yescharacteristic
118C2×C4⋊Q8C2311yescharacteristic
119C2×#127C2311yescharacteristic
120C2×#127C2311yescharacteristic
121C2×#124—21no—
122C2×#124—21no—
123C2×#121—21no—
124C2×#121—21no—
125C2×#121—21no—
126C2×#121—21no—
127C4×#41—21no—
128C4×#41—21no—
129C4×#41—21no—
130C4×#41—21no—
131C4×#41D412yes—
132C4×#41D412yes—
133C4×#41C2312yes—
134C4×#41C2312yes—
135C2×C4×Q8D411yescharacteristic
136C2×C4×Q8C2311yescharacteristic
137C2×C4×D4—21no—
138C2×C4×D4—21no—
139C2×C4×D4—21no—
140C2×C4×D4—21no—
141C2×C4×D4—21no—
142C2×C4×D4—21no—
143C2×C4×D4D411yescharacteristic
144C2×C4×D4C2311yescharacteristic
145C2×#117—21no—
146C2×#117D411yescharacteristic
147C22×C42—21no—
148C22×C42C2311yescharacteristic
149#500C2314yes—
150#493C2314yes—
151#486C2314yes—
152#486C2314yes—
153#480—24no—
154#480—24no—
155#474—24no—
156#474—24no—
157#466—28no—
158#464—24no—
159#464—24no—
160#464—24no—
161#464—24no—
162#463—24no—
163#463—24no—
164#463—24no—
165#463—24no—
166#462—22no—
167#462—22no—
168#462C2314yes—
169#462C2314yes—
170#461—22no—
171#461—22no—
172#461C2314yes—
173#461C2314yes—
174#460—22no—
175#460—22no—
176#460C2314yes—
177#460C2314yes—
178#459—22no—
179#459—22no—
180#459—24no—
181#459—24no—
182#459C2314yes—
183#459C2314yes—
184#447—24no—
185#447—24no—
186C8×Q8—24no—
187C8×Q8C2318yes—
188C4×D8—28no—
189C8×D4—28no—
190C8×D4—24no—
191C8×D4—28no—
192C8×D4C2318yes—
193#431—21no—
194#431—21no—
195#431—24no—
196#431—24no—
197#431—24no—
198#431D412yes—
199#431D412yes—
200#431C2312yes—
201#431C2312yes—
202#431C2312yes—
203#431C2312yes—
204#423—21no—
205#423—21no—
206#423C2312yes—
207#423C2312yes—
208C2×C4⋊C8—21no—
209C2×C4⋊C8—21no—
210C2×C4⋊C8—21no—
211C2×C4⋊C8—21no—
212C2×C4⋊C8—24no—
213C2×C4⋊C8D412yes—
214C2×C4⋊C8C2312yes—
215C2×C4⋊C8C2312yes—
216C2×C4⋊C8C2311yescharacteristic
217C2×C4⋊C8C2311yescharacteristic
218C2×C4⋊C8C2312yes—
219C2×C4⋊C8C2312yes—
220#419—22no—
221#418—22no—
222#417—22no—
223#417—22no—
224#416—24no—
225#416—24no—
226#416—24no—
227C2×#103—21no—
228C2×#103—21no—
229C2×#102—21no—
230C2×#102—21no—
231C2×C22⋊C8—21no—
232C2×C22⋊C8—24no—
233C2×C22⋊C8D412yes—
234C2×C4×C8—21no—
235C2×C4×C8—24no—
236C2×C4×C8C2312yes—
237#335C2318yes—
238#335C2318yes—
239#332C2314yes—
240#332C2314yes—
241#332C2318yes—
242#331C2314yes—
243#331C2314yes—
244#331C2318yes—
245C2×#41—21no—
246C2×#41—21no—
247C2×#41—24no—
248C2×#41—22no—
249C2×#41—22no—
250C2×#41—22no—
251C2×#41—22no—
252C2×#41—41no—
253C2×#41—41no—
254C2×#41—41no—
255C2×#41—41no—
256C2×#41—44no—
257C2×#41—44no—
258C2×#41—44no—
259C2×#41—44no—
260C2×#41D818yescomplemented
261C2×#41C2×D412yes—
262C2×#41C2×D412yes—
263C22×Q8—21no—
264C22×Q8—21no—
265C22×Q8C2×D411yescharacteristic
266C22×D4—21no—
267C22×D4—21no—
268C22×D4—21no—
269C22×D4—21no—
270C22×D4—21no—
271C22×D4—21no—
272C22×D4—21no—
273C22×D4—41no—
274C22×D4—41no—
275C22×D4C2×D411yescharacteristic
276C23×C4—21no—
277C23×C4—21no—
278C23×C4—21no—
279C23×C4—41no—
280C23×C4—41no—
281C23×C4C2×D411yescharacteristic
282C23×C4C2×D411yescharacteristic
283C23×C4#4111yescharacteristic
284#137—48no—
285#137—48no—
286AGL(1,ℤ/8)—48no—
287AGL(1,ℤ/8)—48no—
288#135—416no—
289#135—416no—
290#135—416no—
291C2×Q16—24no—
292C2×Q16—24no—
293C2×Q16—44no—
294C2×SD16—24no—
295C2×SD16—24no—
296C2×SD16—24no—
297C2×SD16—24no—
298C2×SD16—44no—
299C2×SD16—44no—
300C2×D8—24no—
301C2×D8—24no—
302C2×D8—28no—
303C2×D8—44no—
304C2×M16—22no—
305C2×M16—22no—
306C2×M16—44no—
307C22×C8—21no—
308C22×C8—21no—
309C22×C8—22no—
310C22×C8—22no—
311C22×C8—22no—
312C22×C8—22no—
313C22×C8—28no—
314C22×C8—44no—
315C22×C8C2×D414yes—
316C4⋊Q8—21no—
317C4⋊Q8—21no—
318C4⋊Q8—21no—
319C4⋊Q8—21no—
320C4⋊Q8—21no—
321C4⋊Q8—21no—
322C4⋊Q8C2412yes—
323C4⋊Q8C2412yes—
324#127—21no—
325#127—21no—
326#127—21no—
327#127—21no—
328#127—21no—
329#127—21no—
330#127C2412yes—
331#127C2412yes—
332#124—22no—
333#124—22no—
334#124—22no—
335#124—22no—
336#124—41no—
337#124—41no—
338#124—41no—
339#124—41no—
340#121—22no—
341#121—22no—
342#121—22no—
343#121—22no—
344#121—22no—
345#121—22no—
346#121—22no—
347#121—22no—
348#121—41no—
349#121—41no—
350#121—41no—
351#121—41no—
352#121—41no—
353#121—41no—
354#121—41no—
355#121—41no—
356C4×Q8—21no—
357C4×Q8—21no—
358C4×Q8—21no—
359C4×Q8—21no—
360C4×Q8C2×D412yes—
361C4×Q8C2×D412yes—
362C4×Q8C2×D412yes—
363C4×Q8C2412yes—
364C4×D4—22no—
365C4×D4—22no—
366C4×D4—22no—
367C4×D4—22no—
368C4×D4—22no—
369C4×D4—22no—
370C4×D4—22no—
371C4×D4—22no—
372C4×D4—21no—
373C4×D4—21no—
374C4×D4—21no—
375C4×D4—22no—
376C4×D4—22no—
377C4×D4—22no—
378C4×D4—22no—
379C4×D4—21no—
380C4×D4—22no—
381C4×D4—22no—
382C4×D4—22no—
383C4×D4—22no—
384C4×D4—41no—
385C4×D4—41no—
386C4×D4—41no—
387C4×D4—41no—
388C4×D4—41no—
389C4×D4—41no—
390C4×D4—41no—
391C4×D4—41no—
392C4×D4C2×D412yes—
393C4×D4C2×D412yes—
394C4×D4C2×D412yes—
395C4×D4C2412yes—
396#117—21no—
397#117—21no—
398#117—22no—
399#117—22no—
400#117—22no—
401#117—22no—
402#117C2×D412yes—
403#117C2×D412yes—
404C2×C4⋊C4—21no—
405C2×C4⋊C4—21no—
406C2×C4⋊C4—21no—
407C2×C4⋊C4—21no—
408C2×C4⋊C4—21no—
409C2×C4⋊C4—21no—
410C2×C4⋊C4C2×D411yescharacteristic
411C2×C4⋊C4C2×D411yescharacteristic
412C2×C22⋊C4—21no—
413C2×C22⋊C4—21no—
414C2×C22⋊C4—21no—
415C2×C22⋊C4—41no—
416C2×C22⋊C4—41no—
417C2×C22⋊C4—41no—
418C2×C22⋊C4—41no—
419C2×C42—21no—
420C2×C42—21no—
421C2×C42—21no—
422C2×C42—22no—
423C2×C42—22no—
424C2×C42—22no—
425C2×C42—22no—
426C2×C42C2×D411yescharacteristic
427C2×C42C2×D411yescharacteristic
428C2×C42C2×D411yescharacteristic
429C2×C42C2×D411yescharacteristic
430C2×C42C2×D411yescharacteristic
431C2×C42C2×D411yescharacteristic
432C2×C42#4111yescharacteristic
433C2×C42#4111yescharacteristic
434C2×C42#4111yescharacteristic
435C2×C42C2411yescharacteristic
436C2×C42C2411yescharacteristic
437C2×C42C2411yescharacteristic
438#107—28no—
439C4⋊C8—28no—
440C4⋊C8—22no—
441C4⋊C8—21no—
442C4⋊C8—21no—
443C4⋊C8—22no—
444C4⋊C8—22no—
445C4⋊C8—22no—
446C4⋊C8—22no—
447C4⋊C8—22no—
448C4⋊C8C2×D414yes—
449C4⋊C8C2×D414yes—
450C4⋊C8C2414yes—
451C4⋊C8C2412yes—
452C4⋊C8C2412yes—
453C4⋊C8C2414yes—
454#103—24no—
455#103—24no—
456#103—24no—
457#103—24no—
458#102—28no—
459#102—28no—
460#102—24no—
461#102—24no—
462#102—24no—
463#102—24no—
464C22⋊C8—22no—
465C22⋊C8—22no—
466C22⋊C8—28no—
467C22⋊C8C2×D414yes—
468C22⋊C8C2×D414yes—
469C4×C8—28no—
470C4×C8—22no—
471C4×C8—22no—
472C4×C8C2×D414yes—
473C4×C8C2414yes—
474C24—21no—
475C24—41no—
476C24—41no—
477C24#12111yescharacteristic
478#41—24no—
479#41—24no—
480#41—28no—
481#41—28no—
482#41—44no—
483#41—44no—
484#41—44no—
485#41—44no—
486#41—44no—
487#41—44no—
488#41—44no—
489#41—44no—
490#41—84no—
491#41—84no—
492#41—84no—
493#41—84no—
494#41C2×D818yes—
495#41C2×D818yes—
496C2×Q8—21no—
497C2×Q8—22no—
498C2×Q8—22no—
499C2×Q8—22no—
500C2×Q8—41no—
501C2×Q8—41no—
502C2×Q8—42no—
503C2×Q8—42no—
504C2×Q8—42no—
505C2×Q8—42no—
506C2×Q8C2×D814yes—
507C2×Q8C22×D412yes—
508C2×D4—22no—
509C2×D4—22no—
510C2×D4—28no—
511C2×D4—21no—
512C2×D4—22no—
513C2×D4—22no—
514C2×D4—22no—
515C2×D4—22no—
516C2×D4—22no—
517C2×D4—22no—
518C2×D4—22no—
519C2×D4—42no—
520C2×D4—42no—
521C2×D4—42no—
522C2×D4—42no—
523C2×D4—41no—
524C2×D4—41no—
525C2×D4—41no—
526C2×D4—41no—
527C2×D4—41no—
528C2×D4—41no—
529C2×D4—42no—
530C2×D4—42no—
531C2×D4—42no—
532C2×D4—42no—
533C2×D4—82no—
534C2×D4—82no—
535C2×D4—82no—
536C2×D4—82no—
537C2×D4—84no—
538C2×D4—84no—
539C2×D4C2×D814yes—
540C2×D4C22×D412yes—
541C22×C4—21no—
542C22×C4—22no—
543C22×C4—22no—
544C22×C4—28no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—22no—
548C22×C4—22no—
549C22×C4—22no—
550C22×C4—22no—
551C22×C4—42no—
552C22×C4—41no—
553C22×C4—41no—
554C22×C4—42no—
555C22×C4—42no—
556C22×C4—42no—
557C22×C4—42no—
558C22×C4—82no—
559C22×C4—81no—
560C22×C4—82no—
561C22×C4—84no—
562C22×C4—84no—
563C22×C4#12111yescharacteristic
564C22×C4#12111yescharacteristic
565C22×C4#12111yescharacteristic
566C22×C4#12111yescharacteristic
567C22×C4#12111yescharacteristic
568C22×C4#12111yescharacteristic
569C22×C4#12111yescharacteristic
570C22×C4#12111yescharacteristic
571C22×C4#12111yescharacteristic
572C22×C4C2×D814yes—
573C22×C4#13514yes—
574C22×C4C22×D411yescharacteristic
575C22×C4C22×D411yescharacteristic
576C22×C4C22×D411yescharacteristic
577C22×C4C22×D411yescharacteristic
578C22×C4C22×D411yescharacteristic
579C22×C4C22×D411yescharacteristic
580C22×C4C2×#4111yescharacteristic
581C22×C4C2×#4111yescharacteristic
582C22×C4C2×#4111yescharacteristic
583Q16—48no—
584Q16—48no—
585SD16—48no—
586SD16—48no—
587SD16—48no—
588SD16—48no—
589D8—48no—
590D8—48no—
591D8—88no—
592M16—44no—
593M16—44no—
594C2×C8—24no—
595C2×C8—22no—
596C2×C8—22no—
597C2×C8—24no—
598C2×C8—44no—
599C2×C8—42no—
600C2×C8—42no—
601C2×C8—44no—
602C2×C8—44no—
603C2×C8—44no—
604C2×C8—88no—
605C2×C8—82no—
606C2×C8C22×D418yes—
607C4⋊C4—22no—
608C4⋊C4—22no—
609C4⋊C4—22no—
610C4⋊C4—21no—
611C4⋊C4—21no—
612C4⋊C4—22no—
613C4⋊C4—22no—
614C4⋊C4—22no—
615C4⋊C4—22no—
616C4⋊C4—22no—
617C4⋊C4—41no—
618C4⋊C4—41no—
619C4⋊C4—41no—
620C4⋊C4—41no—
621C4⋊C4C22×D412yes—
622C4⋊C4C22×D412yes—
623C22⋊C4—22no—
624C22⋊C4—22no—
625C22⋊C4—22no—
626C22⋊C4—22no—
627C22⋊C4—22no—
628C22⋊C4—22no—
629C22⋊C4—42no—
630C22⋊C4—42no—
631C22⋊C4—42no—
632C22⋊C4—42no—
633C22⋊C4—42no—
634C22⋊C4—42no—
635C22⋊C4—42no—
636C22⋊C4—42no—
637C42—22no—
638C42—22no—
639C42—22no—
640C42—22no—
641C42—22no—
642C42—22no—
643C42#12111yescharacteristic
644C42#12111yescharacteristic
645C42#12111yescharacteristic
646C42#12111yescharacteristic
647C42#12111yescharacteristic
648C42#12111yescharacteristic
649C42C22×D411yescharacteristic
650C42C22×D411yescharacteristic
651C42C22×D411yescharacteristic
652C42C22×D411yescharacteristic
653C42C22×D411yescharacteristic
654C42C22×D411yescharacteristic
655C42C2×#4111yescharacteristic
656C42C2×#4111yescharacteristic
657C42C2×#4111yescharacteristic
658C42C2511yescharacteristic
659C23—22no—
660C23—24no—
661C23—41no—
662C23—41no—
663C23—42no—
664C23—42no—
665C23—81no—
666C23—81no—
667C23—82no—
668C23—82no—
669C23—82no—
670C23—82no—
671C23—82no—
672C23—82no—
673C23#46614yes—
674C23C2×#12111yescharacteristic
675C23C2×#12111yescharacteristic
676C23C2×#12111yescharacteristic
677Q8—24no—
678Q8—22no—
679Q8—42no—
680Q8—42no—
681Q8—42no—
682Q8—42no—
683Q8—82no—
684Q8—82no—
685Q8C22×D814yes—
686D4—28no—
687D4—28no—
688D4—24no—
689D4—22no—
690D4—44no—
691D4—44no—
692D4—42no—
693D4—42no—
694D4—42no—
695D4—42no—
696D4—82no—
697D4—82no—
698D4—82no—
699D4—82no—
700D4—82no—
701D4—82no—
702D4—84no—
703D4—84no—
704D4—84no—
705D4—84no—
706D4—82no—
707D4—82no—
708D4C22×D814yes—
709C2×C4—22no—
710C2×C4—24no—
711C2×C4—22no—
712C2×C4—22no—
713C2×C4—22no—
714C2×C4—28no—
715C2×C4—28no—
716C2×C4—22no—
717C2×C4—22no—
718C2×C4—41no—
719C2×C4—41no—
720C2×C4—41no—
721C2×C4—41no—
722C2×C4—41no—
723C2×C4—41no—
724C2×C4—41no—
725C2×C4—41no—
726C2×C4—41no—
727C2×C4—44no—
728C2×C4—44no—
729C2×C4—42no—
730C2×C4—42no—
731C2×C4—82no—
732C2×C4—82no—
733C2×C4—81no—
734C2×C4—81no—
735C2×C4—82no—
736C2×C4—82no—
737C2×C4—84no—
738C2×C4—84no—
739C2×C4—84no—
740C2×C4—84no—
741C2×C4#46614yes—
742C2×C4#46614yes—
743C2×C4#46614yes—
744C2×C4C2×#12111yescharacteristic
745C2×C4C2×#12111yescharacteristic
746C2×C4C2×#12111yescharacteristic
747C2×C4C2×#12111yescharacteristic
748C2×C4C2×#12111yescharacteristic
749C2×C4C2×#12111yescharacteristic
750C2×C4C2×#12111yescharacteristic
751C2×C4C2×#12111yescharacteristic
752C2×C4C2×#12111yescharacteristic
753C2×C4C22×D812yes—
754C2×C4C22×D812yes—
755C2×C4C22×D812yes—
756C2×C4C2×#13512yes—
757C2×C4C2×#13512yes—
758C2×C4C2×#13512yes—
759C2×C4C23×D411yescharacteristic
760C2×C4C23×D411yescharacteristic
761C2×C4C22×#4111yescharacteristic
762C8—28no—
763C8—44no—
764C8—42no—
765C8—42no—
766C8—44no—
767C22—21no—
768C22—21no—
769C22—21no—
770C22—21no—
771C22—21no—
772C22—21no—
773C22—24no—
774C22—44no—
775C22—42no—
776C22—42no—
777C22—84no—
778C22—82no—
779C22—82no—
780C22—82no—
781C22—82no—
782C22—82no—
783C22—82no—
784C22—164no—
785C22—164no—
786C22C2×#46612yes—
787C22C2×#46612yes—
788C22C2×#46612yes—
789C22C22×#12111yescharacteristic
790C4—21no—
791C4—21no—
792C4—21no—
793C4—24no—
794C4—21no—
795C4—21no—
796C4—21no—
797C4—21no—
798C4—42no—
799C4—42no—
800C4—82no—
801C4—82no—
802C4C2×#46612yes—
803C4C2×#46612yes—
804C4C2×#46612yes—
805C4C23×D811yescharacteristic
806C4C22×#13511yescharacteristic
807C4#358412yes—
808C2—22no—
809C2—22no—
810C2—22no—
811C2—44no—
812C2—162no—
813C2—162no—
814C2#6042211yescharacteristic
815C2C22×#46611yescharacteristic
816C2#6046911yescharacteristic
subgroupG/H
centerC2×C4C2×#121
commutator, Frattini, cosocleC42C25
socleC22C22×#121
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C2×C4 ◁ C22×C42 ◁ G
LECSG ▷ C42 ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #60940C2semidirect
2. #60415C2semidirect
3. C2×#3035C2semidirect
4. #60276C2semidirect
5. #19416C2semidirect
6. #19410C2semidirect
7. #19404C2semidirect
8. #19398C2semidirect
9. #19392C2semidirect
10. #19386C2semidirect
11. #19125C2semidirect
12. C2×#1571C2semidirect
13. #17704C2semidirect
14. C2×#1540C2semidirect
22. #3226C22semidirect
24. #3205C22semidirect
26. #3169C22semidirect
30. #3039C22semidirect
31. #3038C22semidirect
40. #3035C22semidirect
41. #3035C22semidirect
43. C2×#462C22semidirect
44. C2×#460C22semidirect
46. C2×#461C22semidirect
47. C2×#459C22semidirect
49. #2988C22semidirect
50. #2982C22semidirect
52. #2972C22semidirect
54. C8×#41C22semidirect
62. #1682C22semidirect
63. #1682C22semidirect
64. #1681C22semidirect
65. #1681C22semidirect
66. #1674C22semidirect
67. #1673C22semidirect
68. #1668C22semidirect
69. #1667C22semidirect
70. #1571C22semidirect
71. #1571C22semidirect
72. #1571C22semidirect
73. C2×#335C22semidirect
74. #1547C22semidirect
75. #1546C22semidirect
76. #1545C22semidirect
79. #1540C22semidirect
80. #1540C22semidirect
81. C2×#332C22semidirect
82. C2×#331C22semidirect
260. C2×#41D8semidirect

Maximal subgroups

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

subgroupindex
#609402
#604152
C2×#30352
#602762
#194162
#194102
#194042
#193982
#193922
#193862
#191252
C2×#15712
#177042
C2×#15402