Finite Group Databasebeta

← #6500726

Subgroups — #6500726

Order 512.

2574 conjugacy classes of subgroups.

The subgroup lattice has 803 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#24868C214yesmaximal, complemented
6#24866C214yesmaximal, complemented
7#24864C214yesmaximal, complemented
8#24862C214yesmaximal, complemented
9#24006C211yesmaximal, characteristic, complemented
10#24005C211yesmaximal, characteristic, complemented
11#24003C211yesmaximal, characteristic, complemented
12#24002C211yesmaximal, characteristic, complemented
13#21941C212yesmaximal, complemented
14#21738C211yesmaximal, characteristic, complemented
15#20597C212yesmaximal, complemented
16C23×#41C2211yescharacteristic
17C22×C22⋊Q8C2211yescharacteristic
18C22×#121C2211yescharacteristic
19C22×C4×D4C2211yescharacteristic
20C2×#484C2212yescomplemented
21C2×#481C2212yescomplemented
22C2×#483C2212yescomplemented
23C2×#480C2212yescomplemented
24C2×#416C2214yescomplemented
25C2×#416C2214yescomplemented
26C22×C22⋊C8C2212yes—
27#2407—22no—
28#2407—22no—
29#2407C2214yes—
30#2407C2214yes—
31C2×#394—21no—
32C2×#392—21no—
33#2353—22no—
34#2353—22no—
35#2352C2212yescomplemented
36#2352C2212yescomplemented
37#2352C2212yescomplemented
38#2352C2212yescomplemented
39#2313—21no—
40#2312—21no—
41#2308—21no—
42C2×#391C2211yescharacteristic
43C2×#390C2211yescharacteristic
44C2×#386—21no—
45C2×#385—21no—
46#2283C2212yes—
47#2280C2212yes—
48C2×#380C2211yescharacteristic
49C2×#380C2211yescharacteristic
50C2×#380C2211yescharacteristic
51#2273—21no—
52#2097C2214yescomplemented
53#2092C2214yescomplemented
54#2074C2214yescomplemented
55#2073C2214yescomplemented
56#2036C2214yescomplemented
57#2035C2214yescomplemented
58#2034C2214yescomplemented
59#2033C2214yescomplemented
60#1928C2214yescomplemented
61#1927C2214yescomplemented
62#1926C2214yescomplemented
63#1925C2214yescomplemented
64#1874C2212yescomplemented
65#1874C2212yescomplemented
66#1872C2212yescomplemented
67#1872C2212yescomplemented
68#1869C2214yescomplemented
69#1869C2214yescomplemented
70#1854C2214yescomplemented
71#1854C2214yescomplemented
72#1853C2212yes—
73#1853C2212yes—
74#1852C2212yes—
75#1852C2212yes—
76#1817C2212yes—
77#1808C2214yescomplemented
78#1807C2214yescomplemented
79#1788C2214yescomplemented
80#1788C2214yescomplemented
81#1787C2212yes—
82#1787C2212yes—
83#1786C2212yes—
84#1786C2212yes—
85#1779C2211yescharacteristic
86#1779C2211yescharacteristic
87C22×#41—22no—
88C22×#41—28no—
89C22×#41—44no—
90C22×#41—44no—
91C22×#41C2314yes—
92C23×Q8C2311yescharacteristic
93C23×D4—21no—
94C23×D4—21no—
95C23×D4D411yescharacteristic
96C23×D4C2311yescharacteristic
97C24×C4—21no—
98C24×C4C2311yescharacteristic
99C24×C4C2311yescharacteristic
100C23×C8C2314yes—
101C2×C22⋊Q8—21no—
102C2×C22⋊Q8—21no—
103C2×C22⋊Q8—44no—
104C2×C22⋊Q8C2312yes—
105C2×C22⋊Q8C2312yes—
106C2×#121—21no—
107C2×#121—21no—
108C2×#121—44no—
109C2×#121C2312yes—
110C2×#121C2312yes—
111C2×C4×D4—28no—
112C2×C4×D4D412yes—
113C2×C4×D4D412yes—
114C2×C4×D4C2312yes—
115C2×C4×D4C2312yes—
116C2×#117C2312yes—
117C2×#117C2312yes—
118C22×C4⋊C4—21no—
119C22×C4⋊C4D411yescharacteristic
120C22×C4⋊C4C2311yescharacteristic
121C22×C4⋊C4C2311yescharacteristic
122C22×C4⋊C4C2311yescharacteristic
123C22×C4⋊C4C2311yescharacteristic
124C22×C4⋊C4C2311yescharacteristic
125C22×C4⋊C4C2311yescharacteristic
126C22×C22⋊C4—21no—
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⋊C4D411yescharacteristic
134C22×C22⋊C4D411yescharacteristic
135C22×C42C2311yescharacteristic
136#484—44no—
137#483—44no—
138#481—44no—
139#480—44no—
140C2×#107C2314yes—
141C2×#107C2314yes—
142C2×#106C2314yes—
143C2×#106C2314yes—
144#416—48no—
145#416—48no—
146C2×#103C2314yes—
147C2×#103C2314yes—
148C2×#103C2314yes—
149C2×#103C2314yes—
150C2×#102C2314yes—
151C2×#102C2314yes—
152C2×#102C2314yes—
153C2×#102C2314yes—
154C2×C22⋊C8—28no—
155C2×C22⋊C8C2312yes—
156C2×C22⋊C8C2312yes—
157C2×C22⋊C8C2314yes—
158C2×C22⋊C8C2312yes—
159C2×C22⋊C8C2312yes—
160C2×C22⋊C8C2312yes—
161C2×C22⋊C8C2312yes—
162#394—24no—
163#394—24no—
164#392—24no—
165#392—24no—
166#391—22no—
167#391C2314yes—
168#390—22no—
169#390C2314yes—
170#388—22no—
171#388—22no—
172#388—22no—
173#388—22no—
174#387—22no—
175#387—22no—
176#387—22no—
177#387—22no—
178#386—22no—
179#386—22no—
180#386—22no—
181#386—22no—
182#386—24no—
183#386—24no—
184#385—24no—
185#385—24no—
186#383—22no—
187#382C2312yes—
188#382C2312yes—
189#381—22no—
190#381—22no—
191#380—21no—
192#380—21no—
193#380—21no—
194#380—21no—
195#380—22no—
196#380C2312yes—
197#380C2314yes—
198#380C2312yes—
199#380C2312yes—
200#380C2312yes—
201#380C2312yes—
202#380C2312yes—
203#379—22no—
204C4×C4⋊C4C2312yes—
205C4×C4⋊C4C2312yes—
206C4×C22⋊C4—22no—
207C4×C22⋊C4—22no—
208C4×C22⋊C4—22no—
209C4×C22⋊C4—22no—
210C4×C22⋊C4—22no—
211C4×C22⋊C4—22no—
212C4×C22⋊C4—22no—
213#376—22no—
214C2×#95—21no—
215C2×#95—21no—
216C2×#95—21no—
217C2×#95—21no—
218C2×#95—21no—
219#340C2314yes—
220#340C2314yes—
221#340C2314yes—
222#340C2314yes—
223#336C2314yes—
224#336C2314yes—
225C25—21no—
226C25C2×D411yescharacteristic
227C25C2×D411yescharacteristic
228C2×#41—28no—
229C2×#41—28no—
230C2×#41—28no—
231C2×#41—28no—
232C2×#41—44no—
233C2×#41—44no—
234C2×#41—48no—
235C2×#41—48no—
236C2×#41—464no—
237C2×#41—48no—
238C22×Q8—24no—
239C22×Q8—21no—
240C22×Q8—24no—
241C22×Q8—42no—
242C22×Q8C2412yes—
243C22×D4—24no—
244C22×D4—24no—
245C22×D4—24no—
246C22×D4—24no—
247C22×D4—22no—
248C22×D4—22no—
249C22×D4—21no—
250C22×D4—24no—
251C22×D4—42no—
252C22×D4—42no—
253C22×D4—44no—
254C22×D4—44no—
255C22×D4—44no—
256C22×D4—44no—
257C22×D4—44no—
258C22×D4—82no—
259C22×D4C2×D412yes—
260C22×D4C2×D412yes—
261C22×D4C2412yes—
262C23×C4—21no—
263C23×C4—24no—
264C23×C4—21no—
265C23×C4—21no—
266C23×C4—21no—
267C23×C4—21no—
268C23×C4—21no—
269C23×C4—21no—
270C23×C4—24no—
271C23×C4—42no—
272C23×C4—42no—
273C23×C4—42no—
274C23×C4—42no—
275C23×C4—44no—
276C23×C4—44no—
277C23×C4—44no—
278C23×C4C2×D411yescharacteristic
279C23×C4C2×D411yescharacteristic
280C23×C4C2×D411yescharacteristic
281C23×C4C2×D411yescharacteristic
282C23×C4C2×D411yescharacteristic
283C23×C4C2×D411yescharacteristic
284C23×C4C2×D412yes—
285C23×C4#4118yes—
286C23×C4C2411yescharacteristic
287C23×C4C2411yescharacteristic
288C23×C4C2411yescharacteristic
289C23×C4C2412yes—
290C22×C8—28no—
291C22×C8—44no—
292C22×C8—44no—
293C22×C8C2414yes—
294C22×C8C2414yes—
295C22⋊Q8—24no—
296C22⋊Q8—24no—
297C22⋊Q8—42no—
298C22⋊Q8—42no—
299C22⋊Q8—44no—
300C22⋊Q8—44no—
301#121—24no—
302#121—24no—
303#121—42no—
304#121—42no—
305#121—44no—
306#121—44no—
307C4×D4—28no—
308C4×D4—28no—
309C4×D4—24no—
310C4×D4—24no—
311C4×D4—24no—
312C4×D4—24no—
313#117—44no—
314#117—44no—
315C2×C4⋊C4—24no—
316C2×C4⋊C4—22no—
317C2×C4⋊C4—22no—
318C2×C4⋊C4—21no—
319C2×C4⋊C4—21no—
320C2×C4⋊C4—21no—
321C2×C4⋊C4—21no—
322C2×C4⋊C4—21no—
323C2×C4⋊C4—21no—
324C2×C4⋊C4—42no—
325C2×C4⋊C4—42no—
326C2×C4⋊C4—42no—
327C2×C4⋊C4—42no—
328C2×C4⋊C4—42no—
329C2×C4⋊C4—42no—
330C2×C4⋊C4—44no—
331C2×C4⋊C4C2×D412yes—
332C2×C4⋊C4C2×D412yes—
333C2×C4⋊C4C2412yes—
334C2×C4⋊C4C2412yes—
335C2×C4⋊C4C2412yes—
336C2×C4⋊C4C2412yes—
337C2×C4⋊C4C2412yes—
338C2×C4⋊C4C2412yes—
339C2×C22⋊C4—24no—
340C2×C22⋊C4—24no—
341C2×C22⋊C4—22no—
342C2×C22⋊C4—22no—
343C2×C22⋊C4—22no—
344C2×C22⋊C4—22no—
345C2×C22⋊C4—22no—
346C2×C22⋊C4—22no—
347C2×C22⋊C4—22no—
348C2×C22⋊C4—22no—
349C2×C22⋊C4—24no—
350C2×C22⋊C4—24no—
351C2×C22⋊C4—22no—
352C2×C22⋊C4—22no—
353C2×C22⋊C4—22no—
354C2×C22⋊C4—22no—
355C2×C22⋊C4—24no—
356C2×C22⋊C4—44no—
357C2×C22⋊C4—44no—
358C2×C22⋊C4—44no—
359C2×C22⋊C4—44no—
360C2×C22⋊C4—44no—
361C2×C22⋊C4—82no—
362C2×C22⋊C4—82no—
363C2×C22⋊C4C2×D412yes—
364C2×C22⋊C4C2×D412yes—
365C2×C22⋊C4C2×D412yes—
366C2×C22⋊C4C2×D412yes—
367C2×C42—24no—
368C2×C42—22no—
369C2×C42—22no—
370C2×C42—22no—
371C2×C42—22no—
372C2×C42C2×D412yes—
373C2×C42C2412yes—
374#107—44no—
375#107—44no—
376#106—44no—
377#106—44no—
378#103—28no—
379#103—28no—
380#103—44no—
381#103—44no—
382#102—28no—
383#102—28no—
384#102—44no—
385#102—44no—
386C22⋊C8—24no—
387C22⋊C8—24no—
388C22⋊C8—28no—
389C22⋊C8—42no—
390C22⋊C8—42no—
391C22⋊C8—42no—
392C22⋊C8—42no—
393#95—22no—
394#95—22no—
395#95—24no—
396#95—22no—
397#95—22no—
398#95—24no—
399#95—24no—
400#95—22no—
401#95—22no—
402#95—22no—
403#95—22no—
404#95—22no—
405#95—22no—
406#95—22no—
407#95—22no—
408C24—22no—
409C24—22no—
410C24—22no—
411C24—22no—
412C24—24no—
413C24—22no—
414C24—41no—
415C24—41no—
416C24—41no—
417C24—41no—
418C24—41no—
419C24—41no—
420C24—41no—
421C24—41no—
422C24—42no—
423C24—42no—
424C24—42no—
425C24—42no—
426C24—42no—
427C24—42no—
428C24#12314yes—
429C24#13514yes—
430C24C22×D412yes—
431C24C22×D411yescharacteristic
432C24C22×D411yescharacteristic
433C24C22×D411yescharacteristic
434#41—232no—
435#41—416no—
436#41—416no—
437#41—416no—
438#41—464no—
439C2×Q8—24no—
440C2×Q8—22no—
441C2×Q8—24no—
442C2×Q8—24no—
443C2×Q8—416no—
444C2×Q8—42no—
445C2×Q8—42no—
446C2×Q8H(5,𝔽2)14yes—
447C2×D4—24no—
448C2×D4—24no—
449C2×D4—24no—
450C2×D4—24no—
451C2×D4—24no—
452C2×D4—24no—
453C2×D4—24no—
454C2×D4—22no—
455C2×D4—416no—
456C2×D4—42no—
457C2×D4—42no—
458C2×D4—48no—
459C2×D4—42no—
460C2×D4—416no—
461C2×D4—48no—
462C2×D4—432no—
463C2×D4—48no—
464C2×D4—44no—
465C2×D4—44no—
466C2×D4—44no—
467C2×D4—44no—
468C2×D4—42no—
469C2×D4—82no—
470C2×D4—82no—
471C2×D4—816no—
472C2×D4H(5,𝔽2)14yes—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
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—22no—
497C22×C4—22no—
498C22×C4—416no—
499C22×C4—41no—
500C22×C4—41no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—48no—
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—48no—
513C22×C4—42no—
514C22×C4—432no—
515C22×C4—42no—
516C22×C4—48no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—42no—
525C22×C4—42no—
526C22×C4—42no—
527C22×C4—88no—
528C22×C4—81no—
529C22×C4—81no—
530C22×C4—81no—
531C22×C4—81no—
532C22×C4—81no—
533C22×C4—81no—
534C22×C4—81no—
535C22×C4—81no—
536C22×C4#12314yes—
537C22×C4#12318yes—
538C22×C4C22×D412yes—
539C22×C4C22×D412yes—
540C22×C4C22×D411yescharacteristic
541C22×C4C22×D411yescharacteristic
542C22×C4C22×D412yes—
543C22×C4C22×D411yescharacteristic
544C22×C4C2×#4114yes—
545C22×C4C2×#4114yes—
546C22×C4C2×#4114yes—
547C22×C4C2511yescharacteristic
548C2×C8—24no—
549C2×C8—24no—
550C2×C8—24no—
551C2×C8—24no—
552C2×C8—24no—
553C2×C8—24no—
554C2×C8—88no—
555C4⋊C4—24no—
556C4⋊C4—24no—
557C4⋊C4—24no—
558C4⋊C4—24no—
559C4⋊C4—24no—
560C4⋊C4—24no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—44no—
566C4⋊C4—44no—
567C4⋊C4—42no—
568C4⋊C4—42no—
569C4⋊C4—81no—
570C4⋊C4—81no—
571C4⋊C4—81no—
572C4⋊C4—81no—
573C22⋊C4—24no—
574C22⋊C4—24no—
575C22⋊C4—24no—
576C22⋊C4—24no—
577C22⋊C4—44no—
578C22⋊C4—44no—
579C22⋊C4—44no—
580C22⋊C4—44no—
581C22⋊C4—48no—
582C22⋊C4—44no—
583C22⋊C4—44no—
584C22⋊C4—44no—
585C22⋊C4—44no—
586C22⋊C4—84no—
587C22⋊C4—82no—
588C22⋊C4—82no—
589C22⋊C4—84no—
590C22⋊C4—82no—
591C22⋊C4—82no—
592C42—24no—
593C42—22no—
594C42—22no—
595C42—82no—
596C42—82no—
597C42—82no—
598C42—82no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—22no—
604C23—21no—
605C23—21no—
606C23—22no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—21no—
611C23—21no—
612C23—21no—
613C23—22no—
614C23—22no—
615C23—21no—
616C23—21no—
617C23—22no—
618C23—21no—
619C23—21no—
620C23—22no—
621C23—28no—
622C23—28no—
623C23—24no—
624C23—44no—
625C23—44no—
626C23—44no—
627C23—44no—
628C23—48no—
629C23—48no—
630C23—48no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23—82no—
638C23—82no—
639C23—82no—
640C23—82no—
641C23—82no—
642C23—82no—
643C23—82no—
644C23—82no—
645C23—84no—
646C23—84no—
647C23—84no—
648C23—84no—
649C23C2×#12314yes—
650C23C2×#12312yes—
651C23C2×#13512yes—
652C23C2×#13512yes—
653C23C2×#13512yes—
654C23#57512yes—
655C23C23×D411yescharacteristic
656Q8—28no—
657Q8—48no—
658Q8—44no—
659D4—28no—
660D4—48no—
661D4—48no—
662D4—48no—
663D4—432no—
664D4—44no—
665D4—88no—
666D4—88no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—28no—
672C2×C4—28no—
673C2×C4—28no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—24no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—44no—
688C2×C4—48no—
689C2×C4—432no—
690C2×C4—48no—
691C2×C4—44no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—44no—
695C2×C4—44no—
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—82no—
715C2×C4—82no—
716C2×C4—82no—
717C2×C4—82no—
718C2×C4—84no—
719C2×C4—84no—
720C2×C4—162no—
721C2×C4—162no—
722C2×C4—162no—
723C2×C4—162no—
724C2×C4C2×#12312yes—
725C2×C4C2×#12314yes—
726C2×C4C22×#4112yes—
727C2×C4C2×H(5,𝔽2)12yes—
728C2×C4C2×H(5,𝔽2)12yes—
729C8—44no—
730C8—44no—
731C22—22no—
732C22—22no—
733C22—22no—
734C22—22no—
735C22—22no—
736C22—22no—
737C22—24no—
738C22—24no—
739C22—22no—
740C22—22no—
741C22—24no—
742C22—22no—
743C22—22no—
744C22—22no—
745C22—22no—
746C22—41no—
747C22—41no—
748C22—41no—
749C22—41no—
750C22—42no—
751C22—42no—
752C22—41no—
753C22—42no—
754C22—41no—
755C22—41no—
756C22—42no—
757C22—41no—
758C22—44no—
759C22—44no—
760C22—44no—
761C22—88no—
762C22—88no—
763C22—816no—
764C22—82no—
765C22—82no—
766C22—82no—
767C22—82no—
768C22#309114yes—
769C22C22×#12311yescharacteristic
770C22#348411yescharacteristic
771C22#348411yescharacteristic
772C22C22×#13511yescharacteristic
773C22C2×#57511yescharacteristic
774C22#358511yescharacteristic
775C22#358611yescharacteristic
776C4—24no—
777C4—22no—
778C4—41no—
779C4—41no—
780C4—44no—
781C4—42no—
782C4—42no—
783C4—82no—
784C4—82no—
785C4—82no—
786C4—82no—
787C4—82no—
788C4—82no—
789C4#349014yes—
790C2—24no—
791C2—44no—
792C2—42no—
793C2—42no—
794C2—84no—
795C2#3535011yescharacteristic
796C2C2×#309111yescharacteristic
797C2#6052011yescharacteristic
798C2#6156111yescharacteristic
799C2#6156411yescharacteristic
800C2#6157511yescharacteristic
801C2#6157711yescharacteristic
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. #24868C2semidirect
6. #24866C2semidirect
7. #24864C2semidirect
8. #24862C2semidirect
9. #24006C2semidirect
10. #24005C2semidirect
11. #24003C2semidirect
12. #24002C2semidirect
13. #21941C2semidirect
14. #21738C2semidirect
15. #20597C2semidirect
20. C2×#484C22semidirect
21. C2×#481C22semidirect
22. C2×#483C22semidirect
23. C2×#480C22semidirect
24. C2×#416C22semidirect
25. C2×#416C22semidirect
35. #2352C22semidirect
36. #2352C22semidirect
37. #2352C22semidirect
38. #2352C22semidirect
52. #2097C22semidirect
53. #2092C22semidirect
54. #2074C22semidirect
55. #2073C22semidirect
56. #2036C22semidirect
57. #2035C22semidirect
58. #2034C22semidirect
59. #2033C22semidirect
60. #1928C22semidirect
61. #1927C22semidirect
62. #1926C22semidirect
63. #1925C22semidirect
64. #1874C22semidirect
65. #1874C22semidirect
66. #1872C22semidirect
67. #1872C22semidirect
68. #1869C22semidirect
69. #1869C22semidirect
70. #1854C22semidirect
71. #1854C22semidirect
77. #1808C22semidirect
78. #1807C22semidirect
79. #1788C22semidirect
80. #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
#248682
#248662
#248642
#248622
#240062
#240052
#240032
#240022
#219412
#217382
#205972