Finite Group Databasebeta

← #6661060

Subgroups — #6661060

Order 512.

1754 conjugacy classes of subgroups.

The subgroup lattice has 799 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36625C211yesmaximal, characteristic
2C2×#2851C211yesmaximal, characteristic
3#32748C214yesmaximal, complemented
4#30295C212yesmaximal, complemented
5#30202C212yesmaximal, complemented
6#29969C211yesmaximal, characteristic, complemented
7#29968C211yesmaximal, characteristic, complemented
8#29944C212yesmaximal, complemented
9#29757C211yesmaximal, characteristic, complemented
10#29756C211yesmaximal, characteristic, complemented
11#29695C212yesmaximal, complemented
12#27653C212yesmaximal, complemented
13#24842C214yesmaximal, complemented
14#24559C212yesmaximal
15#24556C212yesmaximal
16#24307C212yesmaximal, complemented
17#20626C211yesmaximal, characteristic
18C2×#533C2211yescharacteristic
19C22×#125C2211yescharacteristic
20C23×C42C2211yescharacteristic
21C2×#484C2212yes—
22C2×#483C2212yes—
23C2×#479C2214yescomplemented
24C2×#423C2212yes—
25C2×#407C2212yes—
26#2857C2211yescharacteristic
27#2857C2211yescharacteristic
28#2857C2211yescharacteristic
29#2857C2211yescharacteristic
30#2855—21no—
31#2855C2212yes—
32#2851—21no—
33#2851—21no—
34#2851—21no—
35#2851—21no—
36#2851—21no—
37#2851—21no—
38#2851C2212yes—
39#2851C2212yes—
40#2851C2212yes—
41#2851C2212yes—
42#2848—21no—
43#2848C2212yes—
44C4×C22⋊Q8—21no—
45C4×C22⋊Q8—21no—
46C4×C22⋊Q8C2212yes—
47C4×C22⋊Q8C2212yes—
48#2296—21no—
49C2×#389C2211yescharacteristic
50C2×#389C2211yescharacteristic
51C2×#387—21no—
52C2×#387—21no—
53C2×#385—21no—
54C2×#385—21no—
55#2285C2211yescharacteristic
56C2×#382C2211yescharacteristic
57#2280—21no—
58C2×#380C2211yescharacteristic
59C2×#380C2211yescharacteristic
60#2100C2212yescomplemented
61#2100C2212yescomplemented
62#2088C2214yescomplemented
63#2087C2214yescomplemented
64#2085C2214yescomplemented
65#2084C2212yescomplemented
66#2083C2212yescomplemented
67#2077C2214yes—
68#2075C2214yes—
69#2074C2214yescomplemented
70#2068C2214yescomplemented
71#2066C2214yescomplemented
72#2059C2214yescomplemented
73#2058C2212yescomplemented
74#2057C2212yescomplemented
75#2043C2212yescomplemented
76#2043C2212yescomplemented
77#2036C2214yes—
78#2035C2214yes—
79#2026C2214yescomplemented
80#1989C2214yescomplemented
81#1949C2214yescomplemented
82#1894C2214yes—
83#1894C2214yes—
84#1872C2212yes—
85#1872C2212yes—
86#1853C2212yes—
87#1852C2212yes—
88#1824C2212yes—
89#1823C2212yes—
90#1809C2214yes—
91#1809C2214yes—
92#1805C2214yescomplemented
93#1797C2212yes—
94#1797C2211yescharacteristic
95#1797C2211yescharacteristic
96#1797C2212yes—
97#1797C2212yes—
98#1728C2212yes—
99C24×C4D411yescharacteristic
100C24×C4D411yescharacteristic
101C24×C4C2311yescharacteristic
102C22×M16C2314yes—
103#533—44no—
104C2×C4⋊Q8C2311yescharacteristic
105C2×C4⋊Q8C2311yescharacteristic
106C2×#125—21no—
107C2×#125—21no—
108C2×#125—21no—
109C2×#125—44no—
110C2×#125C2312yes—
111C2×#125C2312yes—
112C2×C22⋊Q8—21no—
113C2×C22⋊Q8—21no—
114C2×C22⋊Q8—21no—
115C2×C22⋊Q8C2312yes—
116C2×C22⋊Q8C2312yes—
117C2×C22⋊Q8C2312yes—
118C2×C4×Q8—21no—
119C2×C4×Q8C2312yes—
120C2×#117—21no—
121C2×#117—21no—
122C22×C4⋊C4—21no—
123C22×C4⋊C4—21no—
124C22×C4⋊C4—21no—
125C22×C4⋊C4—21no—
126C22×C4⋊C4C2311yescharacteristic
127C22×C4⋊C4C2311yescharacteristic
128C22×C4⋊C4C2311yescharacteristic
129C22×C4⋊C4C2311yescharacteristic
130C22×C22⋊C4—21no—
131C22×C22⋊C4—21no—
132C22×C42—44no—
133C22×C42D411yescharacteristic
134C22×C42D411yescharacteristic
135C22×C42D411yescharacteristic
136C22×C42D411yescharacteristic
137C22×C42D411yescharacteristic
138C22×C42D411yescharacteristic
139C22×C42C2311yescharacteristic
140C22×C42C2311yescharacteristic
141C22×C42C2311yescharacteristic
142C22×C42C2311yescharacteristic
143C22×C42C2311yescharacteristic
144C22×C42C2311yescharacteristic
145#484—44no—
146#483—44no—
147#479—48no—
148C2×#107C2314yes—
149C2×#107C2314yes—
150C2×#106C2314yes—
151C2×#106C2314yes—
152#423—44no—
153C2×C4⋊C8C2314yes—
154C2×C4⋊C8C2312yes—
155C2×C4⋊C8C2312yes—
156C2×#103C2314yes—
157C2×#103C2314yes—
158C2×#103C2314yes—
159C2×#103C2314yes—
160#407—44no—
161C2×C22⋊C8C2312yes—
162C2×C22⋊C8C2312yes—
163C2×C22⋊C8C2314yes—
164#391—21no—
165#391—21no—
166#391C2312yes—
167#391C2312yes—
168#389—21no—
169#389—21no—
170#389—21no—
171#389—21no—
172#389—21no—
173#389—21no—
174#389—21no—
175#389—21no—
176#389—21no—
177#389—21no—
178#389C2312yes—
179#389C2312yes—
180#389C2312yes—
181#389C2312yes—
182#389C2312yes—
183#389C2312yes—
184#387—22no—
185#387—22no—
186#387—22no—
187#387—22no—
188#387—22no—
189#387—22no—
190#387—22no—
191#387—22no—
192#387—22no—
193#387—22no—
194#387—22no—
195#387—22no—
196#385—22no—
197#385—22no—
198#385—22no—
199#385—22no—
200#385—22no—
201#385—22no—
202#385—22no—
203#385—22no—
204#385—22no—
205#385—22no—
206#385—22no—
207#385—22no—
208#385—22no—
209#385—22no—
210#384C2311yescharacteristic
211#384C2311yescharacteristic
212#382—21no—
213#382—21no—
214#382—21no—
215#382C2312yes—
216#382C2312yes—
217#381—22no—
218#380—21no—
219#380—21no—
220#380—21no—
221#380—21no—
222#380—21no—
223#380—21no—
224#380—21no—
225#380—21no—
226#380—21no—
227#380—21no—
228#380—21no—
229#380C2312yes—
230#380C2312yes—
231#380C2312yes—
232#380C2312yes—
233#380C2312yes—
234#380C2312yes—
235#380C2312yes—
236#379—22no—
237C4×C4⋊C4—21no—
238C4×C4⋊C4—22no—
239C4×C4⋊C4—22no—
240C4×C4⋊C4C2312yes—
241C4×C22⋊C4—22no—
242C4×C22⋊C4—22no—
243C2×#95—21no—
244C2×#95—21no—
245C2×#95—21no—
246C2×#95—21no—
247C2×#95—21no—
248C2×#95—21no—
249#340C2314yes—
250#340C2314yes—
251#340C2314yes—
252#340C2314yes—
253#340C2314yes—
254#340C2314yes—
255#340C2314yes—
256#340C2314yes—
257#336C2312yes—
258#336C2312yes—
259#336C2314yes—
260C25C2×D411yescharacteristic
261C22×Q8—21no—
262C22×Q8C2412yes—
263C23×C4—24no—
264C23×C4—22no—
265C23×C4—24no—
266C23×C4—22no—
267C23×C4—21no—
268C23×C4—21no—
269C23×C4—21no—
270C23×C4—21no—
271C23×C4—42no—
272C23×C4—42no—
273C23×C4—42no—
274C23×C4—42no—
275C23×C4—42no—
276C23×C4—42no—
277C23×C4C2×D411yescharacteristic
278C23×C4C2×D411yescharacteristic
279C23×C4C2×D411yescharacteristic
280C23×C4C2×D411yescharacteristic
281C23×C4C2×D411yescharacteristic
282C23×C4C2×D411yescharacteristic
283C23×C4C2×D411yescharacteristic
284C23×C4C2×D411yescharacteristic
285C23×C4C2×D411yescharacteristic
286C23×C4C2×D411yescharacteristic
287C23×C4C2×D411yescharacteristic
288C23×C4C2×D411yescharacteristic
289C23×C4C2×D411yescharacteristic
290C23×C4C2×D411yescharacteristic
291C23×C4C2×D411yescharacteristic
292C23×C4C2411yescharacteristic
293C23×C4C2411yescharacteristic
294C23×C4C2411yescharacteristic
295C2×M16—28no—
296C2×M16—44no—
297C2×M16—44no—
298C22×C8C2414yes—
299C22×C8C2414yes—
300C4⋊Q8—42no—
301C4⋊Q8—42no—
302#125—28no—
303#125—44no—
304#125—44no—
305#125—44no—
306#125—44no—
307C22⋊Q8—24no—
308C22⋊Q8—28no—
309C22⋊Q8—24no—
310C22⋊Q8—44no—
311C22⋊Q8—44no—
312C22⋊Q8—44no—
313C22⋊Q8—44no—
314C4×Q8—28no—
315C4×Q8—44no—
316#117—44no—
317#117—44no—
318C2×C4⋊C4—22no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—22no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—22no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—22no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—21no—
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—21no—
339C2×C4⋊C4—22no—
340C2×C4⋊C4—22no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—21no—
343C2×C4⋊C4—22no—
344C2×C4⋊C4—22no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—42no—
348C2×C4⋊C4—42no—
349C2×C4⋊C4—44no—
350C2×C4⋊C4—44no—
351C2×C4⋊C4—44no—
352C2×C4⋊C4—44no—
353C2×C4⋊C4C2412yes—
354C2×C4⋊C4C2412yes—
355C2×C4⋊C4C2412yes—
356C2×C4⋊C4C2412yes—
357C2×C4⋊C4C2412yes—
358C2×C4⋊C4C2412yes—
359C2×C4⋊C4C2412yes—
360C2×C22⋊C4—22no—
361C2×C22⋊C4—22no—
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—22no—
369C2×C22⋊C4—22no—
370C2×C22⋊C4—44no—
371C2×C22⋊C4—44no—
372C2×C42—24no—
373C2×C42—24no—
374C2×C42—24no—
375C2×C42—22no—
376C2×C42—22no—
377C2×C42—42no—
378C2×C42—42no—
379C2×C42—42no—
380C2×C42—42no—
381C2×C42—42no—
382C2×C42—42no—
383C2×C42—42no—
384C2×C42—42no—
385C2×C42—42no—
386C2×C42C2×D411yescharacteristic
387C2×C42C2×D411yescharacteristic
388C2×C42C2×D411yescharacteristic
389C2×C42C2×D411yescharacteristic
390C2×C42C2×D411yescharacteristic
391C2×C42C2×D411yescharacteristic
392C2×C42C2×D411yescharacteristic
393C2×C42C2×D411yescharacteristic
394C2×C42C2×D411yescharacteristic
395C2×C42C2×D411yescharacteristic
396C2×C42C2×D411yescharacteristic
397C2×C42C2×D411yescharacteristic
398C2×C42C2411yescharacteristic
399C2×C42C2411yescharacteristic
400C2×C42C2411yescharacteristic
401C2×C42C2411yescharacteristic
402#107—44no—
403#107—44no—
404#106—44no—
405#106—44no—
406C4⋊C8—28no—
407C4⋊C8—42no—
408C4⋊C8—42no—
409#103—44no—
410#103—44no—
411#103—44no—
412#103—44no—
413C22⋊C8—24no—
414C22⋊C8—24no—
415C22⋊C8—44no—
416#95—22no—
417#95—22no—
418#95—22no—
419#95—22no—
420#95—22no—
421#95—22no—
422#95—22no—
423#95—22no—
424#95—22no—
425#95—22no—
426#95—22no—
427#95—22no—
428#95—22no—
429#95—22no—
430#95—22no—
431#95—22no—
432#95—22no—
433#95—22no—
434#95—22no—
435#95—22no—
436#95—22no—
437#95—22no—
438C24—22no—
439C24—22no—
440C24—22no—
441C24—22no—
442C24—22no—
443C24—41no—
444C24—41no—
445C24C22×D411yescharacteristic
446C24C22×D411yescharacteristic
447C24C22×D411yescharacteristic
448C2×Q8—22no—
449C2×Q8—24no—
450C2×Q8—24no—
451C2×Q8—22no—
452C2×Q8—42no—
453C2×Q8—42no—
454C2×Q8—42no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—21no—
461C22×C4—22no—
462C22×C4—21no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—21no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—21no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—41no—
497C22×C4—41no—
498C22×C4—41no—
499C22×C4—41no—
500C22×C4—41no—
501C22×C4—41no—
502C22×C4—41no—
503C22×C4—41no—
504C22×C4—41no—
505C22×C4—41no—
506C22×C4—41no—
507C22×C4—41no—
508C22×C4—41no—
509C22×C4—41no—
510C22×C4—41no—
511C22×C4—41no—
512C22×C4—41no—
513C22×C4—41no—
514C22×C4—41no—
515C22×C4—41no—
516C22×C4—48no—
517C22×C4—48no—
518C22×C4—416no—
519C22×C4—416no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—42no—
525C22×C4—42no—
526C22×C4—42no—
527C22×C4—42no—
528C22×C4—42no—
529C22×C4—42no—
530C22×C4—42no—
531C22×C4—42no—
532C22×C4#13714yes—
533C22×C4C22×D411yescharacteristic
534C22×C4C22×D411yescharacteristic
535C22×C4C22×D411yescharacteristic
536C22×C4C22×D411yescharacteristic
537C22×C4C22×D411yescharacteristic
538C22×C4C22×D411yescharacteristic
539C22×C4C22×D411yescharacteristic
540C22×C4C22×D411yescharacteristic
541C22×C4C22×D411yescharacteristic
542C22×C4C22×D411yescharacteristic
543C22×C4C22×D411yescharacteristic
544C22×C4H(5,𝔽2)12yes—
545C22×C42−1+414yes—
546C22×C42−1+412yes—
547C22×C4C2511yescharacteristic
548M16—88no—
549C2×C8—24no—
550C2×C8—24no—
551C2×C8—24no—
552C2×C8—24no—
553C2×C8—24no—
554C2×C8—24no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—24no—
558C4⋊C4—24no—
559C4⋊C4—22no—
560C4⋊C4—24no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—24no—
564C4⋊C4—22no—
565C4⋊C4—44no—
566C4⋊C4—42no—
567C4⋊C4—42no—
568C4⋊C4—44no—
569C4⋊C4—44no—
570C4⋊C4—42no—
571C4⋊C4—42no—
572C4⋊C4—42no—
573C4⋊C4—42no—
574C4⋊C4—44no—
575C4⋊C4—42no—
576C4⋊C4—42no—
577C4⋊C4—44no—
578C4⋊C4—44no—
579C4⋊C4—44no—
580C4⋊C4—44no—
581C4⋊C4—44no—
582C4⋊C4—44no—
583C4⋊C4—42no—
584C4⋊C4—42no—
585C4⋊C4—44no—
586C4⋊C4—44no—
587C4⋊C4—44no—
588C4⋊C4—44no—
589C4⋊C4—42no—
590C22⋊C4—44no—
591C22⋊C4—44no—
592C22⋊C4—44no—
593C22⋊C4—44no—
594C22⋊C4—44no—
595C22⋊C4—44no—
596C22⋊C4—44no—
597C22⋊C4—44no—
598C22⋊C4—44no—
599C22⋊C4—44no—
600C42—22no—
601C42—22no—
602C42—22no—
603C42—22no—
604C42—22no—
605C42—22no—
606C42—22no—
607C42—22no—
608C42—22no—
609C42—41no—
610C42—41no—
611C42—41no—
612C42—41no—
613C42—41no—
614C42—41no—
615C42—44no—
616C42—44no—
617C42H(5,𝔽2)14yes—
618C23—21no—
619C23—21no—
620C23—21no—
621C23—21no—
622C23—28no—
623C23—21no—
624C23—21no—
625C23—21no—
626C23—21no—
627C23—21no—
628C23—21no—
629C23—21no—
630C23—21no—
631C23—21no—
632C23—21no—
633C23—21no—
634C23—21no—
635C23—44no—
636C23—44no—
637C23—44no—
638C23—44no—
639C23—44no—
640C23—44no—
641C23#53612yes—
642C23#53712yes—
643C23C2×#13712yes—
644C23#57512yes—
645C23#57512yes—
646C23C23×D411yescharacteristic
647Q8—44no—
648Q8—44no—
649Q8—84no—
650C2×C4—28no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—24no—
666C2×C4—24no—
667C2×C4—24no—
668C2×C4—24no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—44no—
682C2×C4—44no—
683C2×C4—44no—
684C2×C4—44no—
685C2×C4—44no—
686C2×C4—44no—
687C2×C4—44no—
688C2×C4—44no—
689C2×C4—44no—
690C2×C4—44no—
691C2×C4—44no—
692C2×C4—44no—
693C2×C4—44no—
694C2×C4—44no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—42no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—42no—
717C2×C4—42no—
718C2×C4—42no—
719C2×C4—42no—
720C2×C4—42no—
721C2×C4—84no—
722C2×C4—84no—
723C2×C4—84no—
724C2×C4—84no—
725C2×C4#53412yes—
726C2×C4#53412yes—
727C2×C4#53612yes—
728C2×C4#53712yes—
729C2×C4C2×#13712yes—
730C2×C4C2×#13712yes—
731C2×C4#57512yes—
732C2×C4C2×H(5,𝔽2)11yescharacteristic
733C2×C4C2×H(5,𝔽2)12yes—
734C2×C4C2×2−1+412yes—
735C2×C4C2×2−1+411yescharacteristic
736C8—44no—
737C8—44no—
738C22—22no—
739C22—22no—
740C22—22no—
741C22—22no—
742C22—22no—
743C22—22no—
744C22—22no—
745C22—22no—
746C22—22no—
747C22—22no—
748C22—22no—
749C22—22no—
750C22—416no—
751C22—41no—
752C22—41no—
753C22—41no—
754C22—41no—
755C22—41no—
756C22—41no—
757C22—41no—
758C22—41no—
759C22#325214yes—
760C22C2×#53411yescharacteristic
761C22C2×#53611yescharacteristic
762C22C2×#53711yescharacteristic
763C22C22×#13711yescharacteristic
764C22C2×#57511yescharacteristic
765C22C2×#57511yescharacteristic
766C22C2×#57511yescharacteristic
767C4—22no—
768C4—22no—
769C4—22no—
770C4—22no—
771C4—22no—
772C4—22no—
773C4—22no—
774C4—41no—
775C4—41no—
776C4—41no—
777C4—41no—
778C4—82no—
779C4—82no—
780C4—82no—
781C4—82no—
782C4—82no—
783C4—82no—
784C4—82no—
785C4—82no—
786C4#353612yes—
787C4#353812yes—
788C2—24no—
789C2—42no—
790C2—42no—
791C2#3744211yescharacteristic
792C2#6074111yescharacteristic
793C2#6075111yescharacteristic
794C2#6086111yescharacteristic
795C2#6086511yescharacteristic
796C2C2×#325211yescharacteristic
797C2#6091711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC25C2×D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C23×C42 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
3. #32748C2semidirect
4. #30295C2semidirect
5. #30202C2semidirect
6. #29969C2semidirect
7. #29968C2semidirect
8. #29944C2semidirect
9. #29757C2semidirect
10. #29756C2semidirect
11. #29695C2semidirect
12. #27653C2semidirect
13. #24842C2semidirect
16. #24307C2semidirect
23. C2×#479C22semidirect
60. #2100C22semidirect
61. #2100C22semidirect
62. #2088C22semidirect
63. #2087C22semidirect
64. #2085C22semidirect
65. #2084C22semidirect
66. #2083C22semidirect
69. #2074C22semidirect
70. #2068C22semidirect
71. #2066C22semidirect
72. #2059C22semidirect
73. #2058C22semidirect
74. #2057C22semidirect
75. #2043C22semidirect
76. #2043C22semidirect
79. #2026C22semidirect
80. #1989C22semidirect
81. #1949C22semidirect
92. #1805C22semidirect

Maximal subgroups

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

subgroupindex
#366252
C2×#28512
#327482
#302952
#302022
#299692
#299682
#299442
#297572
#297562
#296952
#276532
#248422
#245592
#245562
#243072
#206262