Finite Group Databasebeta

← #6472789

Subgroups — #6472789

Order 512.

3077 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#36614C211yesmaximal, characteristic
2C2×#2280C211yesmaximal, characteristic, complemented
3#32985C212yesmaximal, complemented
4#32981C212yesmaximal, complemented
5#29894C212yesmaximal, complemented
6#29891C212yesmaximal, complemented
7#27605C214yesmaximal, complemented
8#24561C214yesmaximal, complemented
9#24560C214yesmaximal, complemented
10#24008C214yesmaximal, complemented
11#21944C211yesmaximal, characteristic, complemented
12#21944C211yesmaximal, characteristic, complemented
13#21769C211yesmaximal, characteristic, complemented
14#21769C211yesmaximal, characteristic, complemented
15#20579C211yesmaximal, characteristic, complemented
16C25×C4C2211yescharacteristic
17C2×#525C2211yescharacteristic
18C2×#525C2212yes—
19C22×#117C2212yes—
20C2×#485C2214yescomplemented
21C2×#482C2214yescomplemented
22C2×#407C2211yescharacteristic
23C2×#407C2211yescharacteristic
24C2×#407C2214yes—
25#2849—21no—
26#2849—22no—
27#2848C2211yescharacteristic
28#2848C2211yescharacteristic
29#2848C2212yes—
30#2847C2211yescharacteristic
31#2847C2211yescharacteristic
32#2847C2212yes—
33#2846—21no—
34C4×#120—21no—
35C4×#120—21no—
36C4×#120—22no—
37#2280—22no—
38#2280—22no—
39#2280C2211yescharacteristic
40#2280C2212yes—
41#2280C2214yes—
42#2280C2214yes—
43C2×#381—21no—
44C2×#380C2211yescharacteristic
45C2×#380C2211yescharacteristic
46C2×#380C2212yes—
47C2×#379—21no—
48C2×C4×C22⋊C4—21no—
49C2×C4×C22⋊C4—21no—
50#2077C2214yescomplemented
51#2077C2214yescomplemented
52#2076C2214yescomplemented
53#2075C2214yescomplemented
54#2036C2214yescomplemented
55#2035C2214yescomplemented
56#2034C2214yescomplemented
57#2033C2214yescomplemented
58#1895C2212yescomplemented
59#1895C2212yescomplemented
60#1894C2212yescomplemented
61#1894C2212yescomplemented
62#1875C2214yescomplemented
63#1874C2212yescomplemented
64#1874C2212yescomplemented
65#1873C2214yescomplemented
66#1872C2212yescomplemented
67#1872C2212yescomplemented
68#1854C2214yescomplemented
69#1854C2214yescomplemented
70#1854C2214yescomplemented
71#1854C2214yescomplemented
72#1853C2212yescomplemented
73#1853C2212yescomplemented
74#1852C2212yescomplemented
75#1852C2212yescomplemented
76#1825C2212yescomplemented
77#1825C2212yescomplemented
78#1825C2214yescomplemented
79#1825C2214yescomplemented
80#1809C2214yescomplemented
81#1809C2214yescomplemented
82#1788C2212yescomplemented
83#1788C2212yescomplemented
84#1779C2212yes—
85#1779C2214yes—
86#1779C2212yes—
87C26D411yescharacteristic
88C22×#41C2311yescharacteristic
89C24×C4—24no—
90C24×C4—24no—
91C24×C4—48no—
92C24×C4D411yescharacteristic
93C24×C4D412yes—
94C24×C4D411yescharacteristic
95C24×C4D411yescharacteristic
96C24×C4D412yes—
97C24×C4C2311yescharacteristic
98C24×C4C2312yes—
99C24×C4C2312yes—
100C24×C4C2311yescharacteristic
101C24×C4C2311yescharacteristic
102C22×M16C2312yes—
103C22×M16C2312yes—
104#525—24no—
105#525—24no—
106#525—48no—
107C2×#123—22no—
108C2×#123—21no—
109C2×C22⋊Q8C2312yes—
110C2×C22⋊Q8C2311yescharacteristic
111C2×C22⋊Q8C2311yescharacteristic
112C2×C22⋊Q8C2312yes—
113C2×#121C2312yes—
114C2×#121C2311yescharacteristic
115C2×#121C2311yescharacteristic
116C2×#121C2312yes—
117C2×#120—21no—
118C2×#120—21no—
119C2×#120—22no—
120C2×#120—22no—
121C2×#120—21no—
122C2×C4×D4—22no—
123C2×C4×D4—22no—
124C2×C4×D4—21no—
125C2×C4×D4—21no—
126C2×#117—22no—
127C2×#117—22no—
128C2×#117—48no—
129C2×#117C2314yes—
130C2×#117C2311yescharacteristic
131C2×#117C2312yes—
132C2×#117C2314yes—
133C22×C4⋊C4C2312yes—
134C22×C4⋊C4C2312yes—
135C22×C22⋊C4—22no—
136C22×C22⋊C4—22no—
137C22×C22⋊C4—21no—
138C22×C22⋊C4—21no—
139C22×C42—22no—
140#485—48no—
141#482—48no—
142C2×#107C2314yescomplemented
143C2×#107C2314yescomplemented
144C2×#106C2314yescomplemented
145C2×#106C2314yescomplemented
146C2×#103C2314yescomplemented
147C2×#103C2314yescomplemented
148C2×#102C2314yescomplemented
149C2×#102C2314yescomplemented
150#407—24no—
151#407—24no—
152#407—48no—
153C2×C22⋊C8C2314yes—
154C2×C22⋊C8C2314yes—
155C2×C22⋊C8C2312yes—
156C2×C22⋊C8C2312yes—
157C2×C22⋊C8C2312yes—
158C2×C22⋊C8C2312yes—
159C2×C22⋊C8C2314yes—
160C2×C22⋊C8C2314yes—
161#386—22no—
162#386—21no—
163#386—22no—
164#386—22no—
165#386—22no—
166#386—21no—
167#386—22no—
168#385—22no—
169#385—21no—
170#385—22no—
171#385—22no—
172#385—22no—
173#385—21no—
174#385—22no—
175#381—22no—
176#381—21no—
177#381—24no—
178#381—24no—
179#380—22no—
180#380—22no—
181#380—21no—
182#380—21no—
183#380—21no—
184#380—21no—
185#380C2312yes—
186#380C2312yes—
187#380C2312yes—
188#380C2312yes—
189#380C2314yes—
190#380C2312yes—
191#380C2314yes—
192#380C2312yes—
193#380C2312yes—
194#380C2311yescharacteristic
195#380C2311yescharacteristic
196#380C2312yes—
197#380C2312yes—
198#379—21no—
199#379—21no—
200#379—22no—
201#379—22no—
202#379—21no—
203#379—24no—
204#379—24no—
205C4×C22⋊C4—24no—
206C4×C22⋊C4—24no—
207C4×C22⋊C4—24no—
208C4×C22⋊C4—24no—
209C4×C22⋊C4—22no—
210C4×C22⋊C4—22no—
211C4×C22⋊C4—21no—
212C4×C22⋊C4—21no—
213C2×#95—22no—
214C2×#95—21no—
215C2×#95—21no—
216#340C2314yescomplemented
217#340C2314yescomplemented
218#340C2314yescomplemented
219#340C2314yescomplemented
220#340C2314yescomplemented
221#340C2314yescomplemented
222#340C2314yescomplemented
223#340C2314yescomplemented
224C25—24no—
225C25—44no—
226C25—44no—
227C25—42no—
228C25—42no—
229C25C2×D411yescharacteristic
230C25C2×D411yescharacteristic
231C25C2×D412yes—
232C25C2×D412yes—
233C25C2×D411yescharacteristic
234C2×#41—22no—
235C2×#41—22no—
236C2×#41—44no—
237C22×Q8C2411yescharacteristic
238C22×D4—22no—
239C22×D4—21no—
240C22×D4—22no—
241C22×D4—21no—
242C22×D4—21no—
243C22×D4C2411yescharacteristic
244C23×C4—22no—
245C23×C4—22no—
246C23×C4—28no—
247C23×C4—24no—
248C23×C4—24no—
249C23×C4—28no—
250C23×C4—28no—
251C23×C4—24no—
252C23×C4—24no—
253C23×C4—24no—
254C23×C4—24no—
255C23×C4—24no—
256C23×C4—22no—
257C23×C4—22no—
258C23×C4—28no—
259C23×C4—28no—
260C23×C4—22no—
261C23×C4—22no—
262C23×C4—21no—
263C23×C4—44no—
264C23×C4—44no—
265C23×C4—44no—
266C23×C4—44no—
267C23×C4—44no—
268C23×C4—44no—
269C23×C4—44no—
270C23×C4—44no—
271C23×C4—44no—
272C23×C4—44no—
273C23×C4—44no—
274C23×C4—432no—
275C23×C4—432no—
276C23×C4C2×D412yes—
277C23×C4C2×D411yescharacteristic
278C23×C4C2×D412yes—
279C23×C4C2×D412yes—
280C23×C4C2×D412yes—
281C23×C4C2×D412yes—
282C23×C4C2×D412yes—
283C23×C4C2×D412yes—
284C23×C4C2×D411yescharacteristic
285C23×C4C2×D412yes—
286C23×C4C2×D411yescharacteristic
287C23×C4C2×D411yescharacteristic
288C23×C4C2×D411yescharacteristic
289C23×C4#4114yes—
290C23×C4#4114yes—
291C23×C4C2412yes—
292C23×C4C2411yescharacteristic
293C23×C4C2411yescharacteristic
294C23×C4C2411yescharacteristic
295C23×C4C2412yes—
296C2×M16—24no—
297C2×M16—24no—
298C2×M16—44no—
299C2×M16—44no—
300C22×C8C2414yes—
301C22×C8C2414yes—
302#123—48no—
303#123—44no—
304C22⋊Q8—22no—
305C22⋊Q8—22no—
306C22⋊Q8—22no—
307C22⋊Q8—22no—
308C22⋊Q8—28no—
309C22⋊Q8—44no—
310#121—22no—
311#121—22no—
312#121—22no—
313#121—22no—
314#121—28no—
315#121—44no—
316#120—48no—
317#120—44no—
318#120—44no—
319#120—48no—
320#120—44no—
321C4×D4—48no—
322C4×D4—48no—
323C4×D4—44no—
324C4×D4—44no—
325#117—22no—
326#117—22no—
327#117—28no—
328#117—28no—
329#117—44no—
330#117—44no—
331#117—44no—
332#117—48no—
333#117—48no—
334C2×C4⋊C4—22no—
335C2×C4⋊C4—22no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—22no—
340C2×C4⋊C4—44no—
341C2×C4⋊C4—44no—
342C2×C4⋊C4C2414yes—
343C2×C4⋊C4C2414yes—
344C2×C4⋊C4C2411yescharacteristic
345C2×C4⋊C4C2411yescharacteristic
346C2×C4⋊C4C2412yes—
347C2×C4⋊C4C2412yes—
348C2×C22⋊C4—24no—
349C2×C22⋊C4—24no—
350C2×C22⋊C4—22no—
351C2×C22⋊C4—22no—
352C2×C22⋊C4—22no—
353C2×C22⋊C4—22no—
354C2×C22⋊C4—24no—
355C2×C22⋊C4—24no—
356C2×C22⋊C4—22no—
357C2×C22⋊C4—21no—
358C2×C22⋊C4—22no—
359C2×C22⋊C4—21no—
360C2×C22⋊C4—21no—
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—21no—
368C2×C22⋊C4—21no—
369C2×C22⋊C4—22no—
370C2×C22⋊C4—21no—
371C2×C22⋊C4—21no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—44no—
374C2×C22⋊C4—44no—
375C2×C22⋊C4—48no—
376C2×C22⋊C4—48no—
377C2×C42—24no—
378C2×C42—24no—
379C2×C42—22no—
380C2×C42—21no—
381C2×C42—48no—
382#107—44no—
383#107—44no—
384#106—44no—
385#106—44no—
386#103—44no—
387#103—44no—
388#102—44no—
389#102—44no—
390C22⋊C8—24no—
391C22⋊C8—24no—
392C22⋊C8—24no—
393C22⋊C8—24no—
394C22⋊C8—28no—
395C22⋊C8—28no—
396C22⋊C8—44no—
397C22⋊C8—44no—
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—21no—
408#95—21no—
409#95—22no—
410#95—22no—
411C24—22no—
412C24—22no—
413C24—24no—
414C24—24no—
415C24—22no—
416C24—22no—
417C24—24no—
418C24—24no—
419C24—24no—
420C24—24no—
421C24—24no—
422C24—22no—
423C24—22no—
424C24—24no—
425C24—22no—
426C24—22no—
427C24—21no—
428C24—42no—
429C24—42no—
430C24—42no—
431C24—42no—
432C24—42no—
433C24—42no—
434C24—42no—
435C24—42no—
436C24—42no—
437C24—42no—
438C24—42no—
439C24—42no—
440C24—416no—
441C24—416no—
442C24—416no—
443C24—432no—
444C24—432no—
445C24#12314yes—
446C24C22×D411yescharacteristic
447C24C22×D411yescharacteristic
448C24C22×D412yes—
449C24C22×D412yes—
450C24C22×D411yescharacteristic
451#41—84no—
452#41—84no—
453C2×Q8—21no—
454C2×Q8—21no—
455C2×Q8—24no—
456C2×D4—21no—
457C2×D4—21no—
458C2×D4—24no—
459C2×D4—44no—
460C2×D4—44no—
461C2×D4—44no—
462C2×D4—44no—
463C2×D4—44no—
464C2×D4—44no—
465C2×D4—42no—
466C2×D4—42no—
467C2×D4—42no—
468C2×D4—44no—
469C2×D4—44no—
470C2×D4—42no—
471C2×D4—42no—
472C22×C4—216no—
473C22×C4—216no—
474C22×C4—22no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—22no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—24no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—24no—
498C22×C4—24no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—24no—
502C22×C4—24no—
503C22×C4—24no—
504C22×C4—24no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—21no—
510C22×C4—48no—
511C22×C4—48no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—416no—
525C22×C4—416no—
526C22×C4—416no—
527C22×C4—416no—
528C22×C4—416no—
529C22×C4—432no—
530C22×C4—432no—
531C22×C4—416no—
532C22×C4—48no—
533C22×C4—48no—
534C22×C4—44no—
535C22×C4—416no—
536C22×C4—44no—
537C22×C4—44no—
538C22×C4—44no—
539C22×C4—44no—
540C22×C4—44no—
541C22×C4—44no—
542C22×C4—42no—
543C22×C4#12314yes—
544C22×C4#12314yes—
545C22×C4#12314yes—
546C22×C4C22×D412yes—
547C22×C4C22×D411yescharacteristic
548C22×C4C22×D411yescharacteristic
549C22×C4C22×D411yescharacteristic
550C22×C4C22×D412yes—
551C22×C4C2×#4112yes—
552C22×C4C2×#4112yes—
553C22×C4C2×#4112yes—
554C22×C4C2×#4112yes—
555C22×C4C2×#4112yes—
556C22×C4C2×#4112yes—
557C22×C4H(5,𝔽2)18yes—
558C22×C4C2511yescharacteristic
559M16—84no—
560M16—84no—
561C2×C8—24no—
562C2×C8—24no—
563C2×C8—24no—
564C2×C8—24no—
565C2×C8—24no—
566C2×C8—24no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—24no—
572C4⋊C4—24no—
573C4⋊C4—24no—
574C4⋊C4—24no—
575C4⋊C4—24no—
576C4⋊C4—24no—
577C4⋊C4—44no—
578C4⋊C4—44no—
579C4⋊C4—44no—
580C4⋊C4—42no—
581C4⋊C4—42no—
582C4⋊C4—44no—
583C22⋊C4—44no—
584C22⋊C4—44no—
585C22⋊C4—44no—
586C22⋊C4—48no—
587C22⋊C4—44no—
588C22⋊C4—44no—
589C22⋊C4—48no—
590C22⋊C4—44no—
591C22⋊C4—44no—
592C22⋊C4—44no—
593C22⋊C4—44no—
594C22⋊C4—44no—
595C22⋊C4—44no—
596C22⋊C4—42no—
597C22⋊C4—42no—
598C22⋊C4—42no—
599C22⋊C4—48no—
600C22⋊C4—44no—
601C22⋊C4—48no—
602C22⋊C4—44no—
603C22⋊C4—42no—
604C22⋊C4—42no—
605C22⋊C4—42no—
606C22⋊C4—42no—
607C22⋊C4—44no—
608C42—48no—
609C42—44no—
610C42—42no—
611C42—48no—
612C23—22no—
613C23—22no—
614C23—28no—
615C23—28no—
616C23—28no—
617C23—22no—
618C23—22no—
619C23—22no—
620C23—22no—
621C23—22no—
622C23—22no—
623C23—22no—
624C23—21no—
625C23—21no—
626C23—21no—
627C23—21no—
628C23—22no—
629C23—22no—
630C23—22no—
631C23—22no—
632C23—22no—
633C23—22no—
634C23—22no—
635C23—22no—
636C23—22no—
637C23—44no—
638C23—44no—
639C23—48no—
640C23—48no—
641C23—48no—
642C23—48no—
643C23—48no—
644C23—48no—
645C23—48no—
646C23—48no—
647C23—48no—
648C23—48no—
649C23—44no—
650C23—48no—
651C23—48no—
652C23—44no—
653C23—48no—
654C23—48no—
655C23—48no—
656C23—48no—
657C23—48no—
658C23—48no—
659C23—4128no—
660C23—48no—
661C23—48no—
662C23—44no—
663C23—44no—
664C23—41no—
665C23—42no—
666C23—41no—
667C23—42no—
668C23—41no—
669C23C2×#12312yes—
670C23C2×#12312yes—
671C23C2×#12312yes—
672C23#53414yes—
673C23#57514yes—
674C23#57512yes—
675C23#57512yes—
676C23C23×D411yescharacteristic
677Q8—42no—
678Q8—42no—
679D4—42no—
680D4—42no—
681D4—88no—
682D4—88no—
683D4—84no—
684D4—84no—
685D4—84no—
686C2×C4—216no—
687C2×C4—28no—
688C2×C4—22no—
689C2×C4—22no—
690C2×C4—22no—
691C2×C4—22no—
692C2×C4—22no—
693C2×C4—24no—
694C2×C4—24no—
695C2×C4—24no—
696C2×C4—24no—
697C2×C4—28no—
698C2×C4—28no—
699C2×C4—24no—
700C2×C4—24no—
701C2×C4—22no—
702C2×C4—22no—
703C2×C4—22no—
704C2×C4—44no—
705C2×C4—44no—
706C2×C4—44no—
707C2×C4—48no—
708C2×C4—48no—
709C2×C4—48no—
710C2×C4—48no—
711C2×C4—48no—
712C2×C4—48no—
713C2×C4—48no—
714C2×C4—44no—
715C2×C4—44no—
716C2×C4—44no—
717C2×C4—41no—
718C2×C4—41no—
719C2×C4—41no—
720C2×C4—44no—
721C2×C4—44no—
722C2×C4—42no—
723C2×C4—42no—
724C2×C4—42no—
725C2×C4—44no—
726C2×C4—44no—
727C2×C4—44no—
728C2×C4—44no—
729C2×C4—42no—
730C2×C4—42no—
731C2×C4—42no—
732C2×C4—42no—
733C2×C4—41no—
734C2×C4—41no—
735C2×C4—42no—
736C2×C4—84no—
737C2×C4—88no—
738C2×C4—88no—
739C2×C4C2×#12312yes—
740C2×C4C2×#12312yes—
741C2×C4C2×#12312yes—
742C2×C4#53414yes—
743C2×C4C22×#4111yescharacteristic
744C2×C4C22×#4111yescharacteristic
745C2×C4C2×H(5,𝔽2)14yes—
746C8—44no—
747C8—44no—
748C22—24no—
749C22—24no—
750C22—22no—
751C22—22no—
752C22—24no—
753C22—24no—
754C22—24no—
755C22—24no—
756C22—22no—
757C22—22no—
758C22—22no—
759C22—24no—
760C22—22no—
761C22—24no—
762C22—22no—
763C22—22no—
764C22—416no—
765C22—416no—
766C22—416no—
767C22—432no—
768C22—432no—
769C22—42no—
770C22—42no—
771C22—42no—
772C22—42no—
773C22—42no—
774C22—42no—
775C22—42no—
776C22—42no—
777C22—42no—
778C22—42no—
779C22—42no—
780C22—42no—
781C22—82no—
782C22—82no—
783C22—81no—
784C22—81no—
785C22—81no—
786C22#309314yes—
787C22C22×#12311yescharacteristic
788C22C2×#53412yes—
789C22C2×#57511yescharacteristic
790C22C2×#57512yes—
791C22C2×#57511yescharacteristic
792C4—22no—
793C4—24no—
794C4—22no—
795C4—22no—
796C4—42no—
797C4—84no—
798C4—82no—
799C4—84no—
800C4—82no—
801C4—81no—
802C4—81no—
803C4—81no—
804C4#349012yes—
805C4#349012yes—
806C2—24no—
807C2—44no—
808C2—44no—
809C2—42no—
810C2—42no—
811C2—161no—
812C2#3499211yescharacteristic
813C2C2×#309311yescharacteristic
814C2#6051111yescharacteristic
815C2#6074112yes—
816C2#6075212yes—
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36614C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C25×C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#2280C2semidirect
3. #32985C2semidirect
4. #32981C2semidirect
5. #29894C2semidirect
6. #29891C2semidirect
7. #27605C2semidirect
8. #24561C2semidirect
9. #24560C2semidirect
10. #24008C2semidirect
11. #21944C2semidirect
12. #21944C2semidirect
13. #21769C2semidirect
14. #21769C2semidirect
15. #20579C2semidirect
20. C2×#485C22semidirect
21. C2×#482C22semidirect
50. #2077C22semidirect
51. #2077C22semidirect
52. #2076C22semidirect
53. #2075C22semidirect
54. #2036C22semidirect
55. #2035C22semidirect
56. #2034C22semidirect
57. #2033C22semidirect
58. #1895C22semidirect
59. #1895C22semidirect
60. #1894C22semidirect
61. #1894C22semidirect
62. #1875C22semidirect
63. #1874C22semidirect
64. #1874C22semidirect
65. #1873C22semidirect
66. #1872C22semidirect
67. #1872C22semidirect
68. #1854C22semidirect
69. #1854C22semidirect
70. #1854C22semidirect
71. #1854C22semidirect
72. #1853C22semidirect
73. #1853C22semidirect
74. #1852C22semidirect
75. #1852C22semidirect
76. #1825C22semidirect
77. #1825C22semidirect
78. #1825C22semidirect
79. #1825C22semidirect
80. #1809C22semidirect
81. #1809C22semidirect
82. #1788C22semidirect
83. #1788C22semidirect
142. C2×#107C23semidirect
143. C2×#107C23semidirect
144. C2×#106C23semidirect
145. C2×#106C23semidirect
146. C2×#103C23semidirect
147. C2×#103C23semidirect
148. C2×#102C23semidirect
149. C2×#102C23semidirect
216. #340C23semidirect
217. #340C23semidirect
218. #340C23semidirect
219. #340C23semidirect
220. #340C23semidirect
221. #340C23semidirect
222. #340C23semidirect
223. #340C23semidirect

Maximal subgroups

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

subgroupindex
#366142
C2×#22802
#329852
#329812
#298942
#298912
#276052
#245612
#245602
#240082
#219442
#217692
#205792