Finite Group Databasebeta

← #6500751

Subgroups — #6500751

Order 512.

2552 conjugacy classes of subgroups.

The subgroup lattice has 843 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2407C211yesmaximal, characteristic
2#34185C211yesmaximal, characteristic, complemented
3#27589C212yesmaximal, complemented
4#27588C212yesmaximal, complemented
5#24891C214yesmaximal, complemented
6#24889C214yesmaximal, complemented
7#24887C214yesmaximal, complemented
8#24885C214yesmaximal, complemented
9#24010C212yesmaximal, complemented
10#24009C212yesmaximal, complemented
11#21942C211yesmaximal, characteristic, complemented
12#21942C211yesmaximal, characteristic, complemented
13#21742C211yesmaximal, characteristic, complemented
14#20601C211yesmaximal, characteristic, complemented
15#20601C211yesmaximal, characteristic, complemented
16C23×#41C2211yescharacteristic
17C22×C22⋊Q8C2211yescharacteristic
18C22×#121C2211yescharacteristic
19C22×C4×D4C2211yescharacteristic
20C2×#485C2214yescomplemented
21C2×#482C2214yescomplemented
22C2×#417C2212yescomplemented
23C2×#417C2212yescomplemented
24C2×#417C2212yescomplemented
25C2×#417C2212yescomplemented
26C2×#407C2211yescharacteristic
27C2×#407C2211yescharacteristic
28#2407—22no—
29#2407—22no—
30#2407C2214yes—
31#2407C2214yes—
32C2×#394—21no—
33C2×#392—21no—
34#2353—22no—
35#2353—22no—
36#2352C2212yescomplemented
37#2352C2212yescomplemented
38#2352C2212yescomplemented
39#2352C2212yescomplemented
40#2313—21no—
41#2312—21no—
42#2308—21no—
43C2×#391C2211yescharacteristic
44C2×#390C2211yescharacteristic
45C2×#386—21no—
46C2×#385—21no—
47#2283C2212yes—
48#2280C2212yes—
49C2×#380C2211yescharacteristic
50C2×#380C2211yescharacteristic
51C2×#380C2211yescharacteristic
52#2273—21no—
53#2097C2214yescomplemented
54#2092C2214yescomplemented
55#2074C2214yescomplemented
56#2073C2214yescomplemented
57#2036C2214yescomplemented
58#2035C2214yescomplemented
59#2034C2214yescomplemented
60#2033C2214yescomplemented
61#1928C2214yescomplemented
62#1927C2214yescomplemented
63#1926C2214yescomplemented
64#1925C2214yescomplemented
65#1875C2214yescomplemented
66#1873C2214yescomplemented
67#1870C2214yescomplemented
68#1870C2214yescomplemented
69#1853C2212yes—
70#1853C2212yes—
71#1853C2212yescomplemented
72#1853C2212yescomplemented
73#1852C2212yes—
74#1852C2212yes—
75#1852C2212yescomplemented
76#1852C2212yescomplemented
77#1817C2212yes—
78#1809C2214yescomplemented
79#1809C2214yescomplemented
80#1788C2214yescomplemented
81#1788C2214yescomplemented
82#1787C2212yes—
83#1787C2212yes—
84#1786C2212yes—
85#1786C2212yes—
86#1779C2212yes—
87C22×#41—21no—
88C22×#41—21no—
89C22×#41—24no—
90C22×#41—24no—
91C22×#41—44no—
92C22×#41—44no—
93C22×#41C2312yes—
94C22×#41C2312yes—
95C23×Q8C2311yescharacteristic
96C23×D4—21no—
97C23×D4—21no—
98C23×D4D411yescharacteristic
99C23×D4C2311yescharacteristic
100C24×C4—21no—
101C24×C4C2311yescharacteristic
102C24×C4C2311yescharacteristic
103C22×M16C2312yes—
104C22×M16C2312yes—
105C2×C22⋊Q8—22no—
106C2×C22⋊Q8—44no—
107C2×C22⋊Q8C2314yes—
108C2×#121—22no—
109C2×#121—44no—
110C2×#121C2314yes—
111C2×C4×D4—24no—
112C2×C4×D4—24no—
113C2×C4×D4D412yes—
114C2×C4×D4D412yes—
115C2×C4×D4C2312yes—
116C2×C4×D4C2312yes—
117C2×#117C2312yes—
118C2×#117C2312yes—
119C22×C4⋊C4—21no—
120C22×C4⋊C4D411yescharacteristic
121C22×C4⋊C4C2311yescharacteristic
122C22×C4⋊C4C2311yescharacteristic
123C22×C4⋊C4C2311yescharacteristic
124C22×C4⋊C4C2311yescharacteristic
125C22×C4⋊C4C2311yescharacteristic
126C22×C4⋊C4C2311yescharacteristic
127C22×C22⋊C4—21no—
128C22×C22⋊C4—21no—
129C22×C22⋊C4—21no—
130C22×C22⋊C4—21no—
131C22×C22⋊C4—21no—
132C22×C22⋊C4—21no—
133C22×C22⋊C4—21no—
134C22×C22⋊C4D411yescharacteristic
135C22×C22⋊C4D411yescharacteristic
136C22×C42C2311yescharacteristic
137#485—48no—
138#482—48no—
139C2×#107C2314yes—
140C2×#107C2314yes—
141C2×#106C2314yes—
142C2×#106C2314yes—
143#417—44no—
144#417—44no—
145#417—44no—
146#417—44no—
147C2×#103C2314yes—
148C2×#103C2314yes—
149C2×#103C2314yes—
150C2×#103C2314yes—
151C2×#102C2314yes—
152C2×#102C2314yes—
153C2×#102C2314yes—
154C2×#102C2314yes—
155#407—24no—
156#407—24no—
157C2×C22⋊C8C2312yes—
158C2×C22⋊C8C2312yes—
159C2×C22⋊C8C2312yes—
160C2×C22⋊C8C2312yes—
161C2×C22⋊C8C2314yes—
162C2×C22⋊C8C2314yes—
163#394—24no—
164#394—24no—
165#392—24no—
166#392—24no—
167#391—22no—
168#391C2314yes—
169#390—22no—
170#390C2314yes—
171#388—22no—
172#388—22no—
173#388—22no—
174#388—22no—
175#387—22no—
176#387—22no—
177#387—22no—
178#387—22no—
179#386—22no—
180#386—22no—
181#386—22no—
182#386—22no—
183#386—24no—
184#386—24no—
185#385—24no—
186#385—24no—
187#383—22no—
188#382C2312yes—
189#382C2312yes—
190#381—22no—
191#381—22no—
192#380—21no—
193#380—21no—
194#380—21no—
195#380—21no—
196#380—21no—
197#380—21no—
198#380C2312yes—
199#380C2312yes—
200#380C2312yes—
201#380C2312yes—
202#380C2312yes—
203#380C2312yes—
204#380C2312yes—
205#380C2312yes—
206#379—22no—
207C4×C4⋊C4C2312yes—
208C4×C4⋊C4C2312yes—
209C4×C22⋊C4—22no—
210C4×C22⋊C4—22no—
211C4×C22⋊C4—22no—
212C4×C22⋊C4—22no—
213C4×C22⋊C4—22no—
214C4×C22⋊C4—22no—
215C4×C22⋊C4—22no—
216#376—22no—
217C2×#95—21no—
218C2×#95—21no—
219C2×#95—21no—
220C2×#95—21no—
221C2×#95—21no—
222#340C2314yes—
223#340C2314yes—
224#340C2314yes—
225#340C2314yes—
226#336C2314yes—
227#336C2314yes—
228C25—21no—
229C25C2×D411yescharacteristic
230C25C2×D411yescharacteristic
231C2×#41—24no—
232C2×#41—24no—
233C2×#41—24no—
234C2×#41—24no—
235C2×#41—24no—
236C2×#41—24no—
237C2×#41—24no—
238C2×#41—24no—
239C2×#41—42no—
240C2×#41—42no—
241C2×#41—42no—
242C2×#41—42no—
243C2×#41—44no—
244C2×#41—44no—
245C2×#41—44no—
246C2×#41—44no—
247C2×#41—432no—
248C2×#41—432no—
249C2×#41—44no—
250C2×#41—44no—
251C22×Q8—24no—
252C22×Q8—21no—
253C22×Q8—22no—
254C22×Q8—22no—
255C22×Q8—42no—
256C22×Q8C2412yes—
257C22×D4—24no—
258C22×D4—24no—
259C22×D4—22no—
260C22×D4—22no—
261C22×D4—24no—
262C22×D4—21no—
263C22×D4—22no—
264C22×D4—22no—
265C22×D4—42no—
266C22×D4—42no—
267C22×D4—42no—
268C22×D4—44no—
269C22×D4—44no—
270C22×D4—44no—
271C22×D4—44no—
272C22×D4—44no—
273C22×D4—82no—
274C22×D4C2×D412yes—
275C22×D4C2×D412yes—
276C22×D4C2412yes—
277C23×C4—21no—
278C23×C4—22no—
279C23×C4—22no—
280C23×C4—21no—
281C23×C4—21no—
282C23×C4—21no—
283C23×C4—21no—
284C23×C4—21no—
285C23×C4—21no—
286C23×C4—22no—
287C23×C4—22no—
288C23×C4—42no—
289C23×C4—42no—
290C23×C4—42no—
291C23×C4—42no—
292C23×C4—44no—
293C23×C4—44no—
294C23×C4—44no—
295C23×C4C2×D411yescharacteristic
296C23×C4C2×D411yescharacteristic
297C23×C4C2×D411yescharacteristic
298C23×C4C2×D412yes—
299C23×C4C2×D411yescharacteristic
300C23×C4C2×D411yescharacteristic
301C23×C4C2×D411yescharacteristic
302C23×C4#4114yes—
303C23×C4#4114yes—
304C23×C4C2412yes—
305C23×C4C2411yescharacteristic
306C23×C4C2411yescharacteristic
307C23×C4C2411yescharacteristic
308C2×M16—24no—
309C2×M16—24no—
310C2×M16—42no—
311C2×M16—42no—
312C2×M16—42no—
313C2×M16—42no—
314C22×C8C2414yes—
315C22×C8C2414yes—
316C22⋊Q8—28no—
317C22⋊Q8—44no—
318C22⋊Q8—48no—
319#121—28no—
320#121—44no—
321#121—48no—
322C4×D4—28no—
323C4×D4—28no—
324C4×D4—24no—
325C4×D4—24no—
326C4×D4—24no—
327C4×D4—24no—
328#117—44no—
329#117—44no—
330C2×C4⋊C4—24no—
331C2×C4⋊C4—24no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—42no—
339C2×C4⋊C4—42no—
340C2×C4⋊C4—42no—
341C2×C4⋊C4—42no—
342C2×C4⋊C4—42no—
343C2×C4⋊C4—42no—
344C2×C4⋊C4—44no—
345C2×C4⋊C4C2×D412yes—
346C2×C4⋊C4C2×D412yes—
347C2×C4⋊C4C2412yes—
348C2×C4⋊C4C2412yes—
349C2×C4⋊C4C2412yes—
350C2×C4⋊C4C2412yes—
351C2×C4⋊C4C2412yes—
352C2×C4⋊C4C2412yes—
353C2×C22⋊C4—24no—
354C2×C22⋊C4—24no—
355C2×C22⋊C4—24no—
356C2×C22⋊C4—22no—
357C2×C22⋊C4—22no—
358C2×C22⋊C4—22no—
359C2×C22⋊C4—22no—
360C2×C22⋊C4—24no—
361C2×C22⋊C4—24no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—22no—
364C2×C22⋊C4—22no—
365C2×C22⋊C4—22no—
366C2×C22⋊C4—22no—
367C2×C22⋊C4—22no—
368C2×C22⋊C4—24no—
369C2×C22⋊C4—44no—
370C2×C22⋊C4—44no—
371C2×C22⋊C4—44no—
372C2×C22⋊C4—44no—
373C2×C22⋊C4—44no—
374C2×C22⋊C4—82no—
375C2×C22⋊C4—82no—
376C2×C22⋊C4C2×D412yes—
377C2×C22⋊C4C2×D412yes—
378C2×C22⋊C4C2×D412yes—
379C2×C22⋊C4C2×D412yes—
380C2×C42—22no—
381C2×C42—22no—
382C2×C42—22no—
383C2×C42—22no—
384C2×C42—22no—
385C2×C42—22no—
386C2×C42C2×D412yes—
387C2×C42C2412yes—
388#107—44no—
389#107—44no—
390#106—44no—
391#106—44no—
392#103—28no—
393#103—28no—
394#103—44no—
395#103—44no—
396#102—28no—
397#102—28no—
398#102—44no—
399#102—44no—
400C22⋊C8—24no—
401C22⋊C8—24no—
402C22⋊C8—24no—
403C22⋊C8—24no—
404C22⋊C8—44no—
405C22⋊C8—44no—
406#95—22no—
407#95—22no—
408#95—22no—
409#95—22no—
410#95—22no—
411#95—22no—
412#95—24no—
413#95—24no—
414#95—22no—
415#95—22no—
416#95—22no—
417#95—22no—
418#95—22no—
419#95—22no—
420#95—22no—
421#95—22no—
422C24—22no—
423C24—22no—
424C24—24no—
425C24—22no—
426C24—22no—
427C24—22no—
428C24—22no—
429C24—41no—
430C24—41no—
431C24—41no—
432C24—41no—
433C24—41no—
434C24—41no—
435C24—41no—
436C24—41no—
437C24—42no—
438C24—42no—
439C24—42no—
440C24—42no—
441C24—42no—
442C24—42no—
443C24#12314yes—
444C24C22×D412yes—
445C24C22×D411yescharacteristic
446C24C22×D411yescharacteristic
447C24C22×D411yescharacteristic
448#41—216no—
449#41—216no—
450#41—48no—
451#41—48no—
452#41—48no—
453#41—48no—
454#41—48no—
455#41—48no—
456#41—432no—
457#41—432no—
458C2×Q8—24no—
459C2×Q8—22no—
460C2×Q8—22no—
461C2×Q8—22no—
462C2×Q8—22no—
463C2×Q8—22no—
464C2×Q8—48no—
465C2×Q8—48no—
466C2×Q8—42no—
467C2×Q8—42no—
468C2×Q8H(5,𝔽2)14yes—
469C2×D4—24no—
470C2×D4—24no—
471C2×D4—24no—
472C2×D4—22no—
473C2×D4—22no—
474C2×D4—22no—
475C2×D4—22no—
476C2×D4—22no—
477C2×D4—48no—
478C2×D4—48no—
479C2×D4—42no—
480C2×D4—42no—
481C2×D4—42no—
482C2×D4—42no—
483C2×D4—44no—
484C2×D4—44no—
485C2×D4—42no—
486C2×D4—44no—
487C2×D4—44no—
488C2×D4—416no—
489C2×D4—432no—
490C2×D4—44no—
491C2×D4—44no—
492C2×D4—48no—
493C2×D4—48no—
494C2×D4—42no—
495C2×D4—84no—
496C2×D4—816no—
497C2×D4H(5,𝔽2)14yes—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—24no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—24no—
514C22×C4—24no—
515C22×C4—24no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—48no—
523C22×C4—48no—
524C22×C4—41no—
525C22×C4—41no—
526C22×C4—41no—
527C22×C4—41no—
528C22×C4—41no—
529C22×C4—41no—
530C22×C4—44no—
531C22×C4—44no—
532C22×C4—41no—
533C22×C4—41no—
534C22×C4—41no—
535C22×C4—42no—
536C22×C4—42no—
537C22×C4—41no—
538C22×C4—44no—
539C22×C4—44no—
540C22×C4—42no—
541C22×C4—432no—
542C22×C4—42no—
543C22×C4—44no—
544C22×C4—44no—
545C22×C4—42no—
546C22×C4—42no—
547C22×C4—42no—
548C22×C4—42no—
549C22×C4—42no—
550C22×C4—42no—
551C22×C4—42no—
552C22×C4—42no—
553C22×C4—42no—
554C22×C4—42no—
555C22×C4—84no—
556C22×C4—84no—
557C22×C4—81no—
558C22×C4—81no—
559C22×C4—81no—
560C22×C4—81no—
561C22×C4—81no—
562C22×C4—81no—
563C22×C4—81no—
564C22×C4—81no—
565C22×C4#12314yes—
566C22×C4#12314yes—
567C22×C4#12314yes—
568C22×C4C22×D412yes—
569C22×C4C22×D412yes—
570C22×C4C22×D412yes—
571C22×C4C22×D411yescharacteristic
572C22×C4C22×D411yescharacteristic
573C22×C4C22×D411yescharacteristic
574C22×C4C2×#4112yes—
575C22×C4C2×#4112yes—
576C22×C4C2×#4112yes—
577C22×C4C2×#4112yes—
578C22×C4C2×#4112yes—
579C22×C4C2×#4112yes—
580C22×C4C2511yescharacteristic
581M16—84no—
582M16—84no—
583C2×C8—24no—
584C2×C8—24no—
585C2×C8—24no—
586C2×C8—24no—
587C2×C8—24no—
588C2×C8—24no—
589C4⋊C4—24no—
590C4⋊C4—24no—
591C4⋊C4—24no—
592C4⋊C4—24no—
593C4⋊C4—24no—
594C4⋊C4—24no—
595C4⋊C4—24no—
596C4⋊C4—24no—
597C4⋊C4—48no—
598C4⋊C4—42no—
599C4⋊C4—42no—
600C4⋊C4—81no—
601C4⋊C4—81no—
602C4⋊C4—81no—
603C4⋊C4—81no—
604C22⋊C4—24no—
605C22⋊C4—24no—
606C22⋊C4—24no—
607C22⋊C4—24no—
608C22⋊C4—48no—
609C22⋊C4—48no—
610C22⋊C4—48no—
611C22⋊C4—44no—
612C22⋊C4—44no—
613C22⋊C4—44no—
614C22⋊C4—44no—
615C22⋊C4—84no—
616C22⋊C4—82no—
617C22⋊C4—82no—
618C22⋊C4—82no—
619C22⋊C4—82no—
620C22⋊C4—82no—
621C22⋊C4—82no—
622C42—24no—
623C42—22no—
624C42—22no—
625C42—82no—
626C42—82no—
627C42—82no—
628C42—82no—
629C23—21no—
630C23—21no—
631C23—21no—
632C23—21no—
633C23—21no—
634C23—21no—
635C23—21no—
636C23—21no—
637C23—21no—
638C23—21no—
639C23—21no—
640C23—21no—
641C23—21no—
642C23—21no—
643C23—21no—
644C23—21no—
645C23—28no—
646C23—22no—
647C23—22no—
648C23—22no—
649C23—22no—
650C23—24no—
651C23—22no—
652C23—22no—
653C23—22no—
654C23—44no—
655C23—44no—
656C23—48no—
657C23—44no—
658C23—48no—
659C23—48no—
660C23—44no—
661C23—42no—
662C23—42no—
663C23—44no—
664C23—42no—
665C23—42no—
666C23—42no—
667C23—42no—
668C23—82no—
669C23—82no—
670C23—82no—
671C23—82no—
672C23—82no—
673C23—82no—
674C23—82no—
675C23—82no—
676C23—84no—
677C23—84no—
678C23—84no—
679C23—84no—
680C23C2×#12312yes—
681C23C2×#12312yes—
682C23C2×#12312yes—
683C23#57512yes—
684C23#57512yes—
685C23C23×D411yescharacteristic
686Q8—24no—
687Q8—24no—
688Q8—48no—
689Q8—42no—
690Q8—42no—
691D4—24no—
692D4—24no—
693D4—48no—
694D4—48no—
695D4—48no—
696D4—416no—
697D4—416no—
698D4—42no—
699D4—42no—
700D4—816no—
701C2×C4—21no—
702C2×C4—21no—
703C2×C4—21no—
704C2×C4—21no—
705C2×C4—21no—
706C2×C4—21no—
707C2×C4—24no—
708C2×C4—24no—
709C2×C4—24no—
710C2×C4—24no—
711C2×C4—24no—
712C2×C4—24no—
713C2×C4—22no—
714C2×C4—22no—
715C2×C4—22no—
716C2×C4—22no—
717C2×C4—22no—
718C2×C4—22no—
719C2×C4—22no—
720C2×C4—24no—
721C2×C4—22no—
722C2×C4—22no—
723C2×C4—44no—
724C2×C4—44no—
725C2×C4—44no—
726C2×C4—416no—
727C2×C4—416no—
728C2×C4—48no—
729C2×C4—44no—
730C2×C4—42no—
731C2×C4—42no—
732C2×C4—44no—
733C2×C4—44no—
734C2×C4—42no—
735C2×C4—42no—
736C2×C4—42no—
737C2×C4—42no—
738C2×C4—42no—
739C2×C4—42no—
740C2×C4—42no—
741C2×C4—42no—
742C2×C4—42no—
743C2×C4—42no—
744C2×C4—42no—
745C2×C4—42no—
746C2×C4—42no—
747C2×C4—42no—
748C2×C4—42no—
749C2×C4—42no—
750C2×C4—42no—
751C2×C4—42no—
752C2×C4—84no—
753C2×C4—82no—
754C2×C4—82no—
755C2×C4—84no—
756C2×C4—84no—
757C2×C4—162no—
758C2×C4—162no—
759C2×C4—162no—
760C2×C4—162no—
761C2×C4C2×#12312yes—
762C2×C4C2×#12312yes—
763C2×C4C2×#12312yes—
764C2×C4C22×#4111yescharacteristic
765C2×C4C22×#4111yescharacteristic
766C2×C4C2×H(5,𝔽2)12yes—
767C2×C4C2×H(5,𝔽2)12yes—
768C8—44no—
769C8—44no—
770C22—22no—
771C22—22no—
772C22—22no—
773C22—22no—
774C22—22no—
775C22—22no—
776C22—22no—
777C22—22no—
778C22—22no—
779C22—22no—
780C22—22no—
781C22—22no—
782C22—41no—
783C22—41no—
784C22—41no—
785C22—41no—
786C22—41no—
787C22—41no—
788C22—41no—
789C22—41no—
790C22—44no—
791C22—42no—
792C22—42no—
793C22—42no—
794C22—42no—
795C22—44no—
796C22—42no—
797C22—42no—
798C22—44no—
799C22—42no—
800C22—88no—
801C22—88no—
802C22—816no—
803C22—82no—
804C22—82no—
805C22—82no—
806C22—82no—
807C22#309314yes—
808C22C22×#12311yescharacteristic
809C22#348411yescharacteristic
810C22#348411yescharacteristic
811C22C2×#57511yescharacteristic
812C22C2×#57511yescharacteristic
813C22#358511yescharacteristic
814C22#358611yescharacteristic
815C4—22no—
816C4—22no—
817C4—22no—
818C4—42no—
819C4—44no—
820C4—42no—
821C4—42no—
822C4—82no—
823C4—82no—
824C4—82no—
825C4—82no—
826C4—82no—
827C4—82no—
828C4#349012yes—
829C4#349012yes—
830C2—24no—
831C2—42no—
832C2—42no—
833C2—82no—
834C2—84no—
835C2#3535011yescharacteristic
836C2C2×#309311yescharacteristic
837C2#6052011yescharacteristic
838C2#6157511yescharacteristic
839C2#6157711yescharacteristic
840C2#6158111yescharacteristic
841C2#6158311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#2407C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C22×C4×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #34185C2semidirect
3. #27589C2semidirect
4. #27588C2semidirect
5. #24891C2semidirect
6. #24889C2semidirect
7. #24887C2semidirect
8. #24885C2semidirect
9. #24010C2semidirect
10. #24009C2semidirect
11. #21942C2semidirect
12. #21942C2semidirect
13. #21742C2semidirect
14. #20601C2semidirect
15. #20601C2semidirect
20. C2×#485C22semidirect
21. C2×#482C22semidirect
22. C2×#417C22semidirect
23. C2×#417C22semidirect
24. C2×#417C22semidirect
25. C2×#417C22semidirect
36. #2352C22semidirect
37. #2352C22semidirect
38. #2352C22semidirect
39. #2352C22semidirect
53. #2097C22semidirect
54. #2092C22semidirect
55. #2074C22semidirect
56. #2073C22semidirect
57. #2036C22semidirect
58. #2035C22semidirect
59. #2034C22semidirect
60. #2033C22semidirect
61. #1928C22semidirect
62. #1927C22semidirect
63. #1926C22semidirect
64. #1925C22semidirect
65. #1875C22semidirect
66. #1873C22semidirect
67. #1870C22semidirect
68. #1870C22semidirect
71. #1853C22semidirect
72. #1853C22semidirect
75. #1852C22semidirect
76. #1852C22semidirect
78. #1809C22semidirect
79. #1809C22semidirect
80. #1788C22semidirect
81. #1788C22semidirect

Maximal subgroups

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

subgroupindex
C2×#24072
#341852
#275892
#275882
#248912
#248892
#248872
#248852
#240102
#240092
#219422
#217422
#206012