Finite Group Databasebeta

← #6493618

Subgroups — #6493618

Order 512.

1966 conjugacy classes of subgroups.

The subgroup lattice has 826 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36624C211yesmaximal, characteristic
2#34012C211yesmaximal, characteristic, complemented
3#33114C212yesmaximal, complemented
4#33113C212yesmaximal, complemented
5#29923C211yesmaximal, characteristic, complemented
6#29922C211yesmaximal, characteristic, complemented
7#29921C211yesmaximal, characteristic, complemented
8#29920C211yesmaximal, characteristic, complemented
9#27976C212yesmaximal, complemented
10#27911C212yesmaximal, complemented
11#27893C214yesmaximal, complemented
12#27587C212yesmaximal, complemented
13#27584C212yesmaximal, complemented
14#24008C214yesmaximal, complemented
15#21985C212yesmaximal, complemented
16#21807C212yesmaximal, complemented
17#20714C211yesmaximal, characteristic, complemented
18C2×#532C2211yescharacteristic
19C2×#525C2212yes—
20C23×C42C2211yescharacteristic
21C2×#485C2214yes—
22C2×#482C2214yes—
23C2×#431C2212yes—
24#2857C2211yescharacteristic
25#2857C2211yescharacteristic
26#2856C2211yescharacteristic
27#2856C2211yescharacteristic
28#2854—21no—
29#2854—21no—
30#2850C2212yes—
31#2850C2212yes—
32#2847—21no—
33#2847—21no—
34C4×#121—21no—
35C4×#121—21no—
36C4×#121—21no—
37C4×#121—21no—
38#2297C2212yes—
39#2285C2211yescharacteristic
40#2285C2211yescharacteristic
41#2285C2211yescharacteristic
42#2285C2211yescharacteristic
43#2285C2211yescharacteristic
44#2285C2211yescharacteristic
45#2285C2211yescharacteristic
46#2283—21no—
47#2283—21no—
48#2283—21no—
49#2283—21no—
50#2283C2212yes—
51#2283C2212yes—
52#2280—21no—
53#2280—21no—
54#2280C2212yes—
55C4×#117—21no—
56C4×#117—21no—
57C4×#117C2212yes—
58#2096C2212yescomplemented
59#2095C2212yescomplemented
60#2094C2212yescomplemented
61#2093C2212yescomplemented
62#2072C2212yescomplemented
63#2072C2212yescomplemented
64#2071C2212yescomplemented
65#2071C2212yescomplemented
66#2036C2214yes—
67#2035C2214yes—
68#2034C2214yes—
69#2033C2214yes—
70#1982C2212yescomplemented
71#1982C2212yescomplemented
72#1981C2212yescomplemented
73#1981C2212yescomplemented
74#1958C2214yescomplemented
75#1958C2214yescomplemented
76#1948C2212yescomplemented
77#1948C2212yescomplemented
78#1947C2212yescomplemented
79#1947C2212yescomplemented
80#1928C2214yescomplemented
81#1927C2214yescomplemented
82#1926C2214yescomplemented
83#1925C2214yescomplemented
84#1875C2214yes—
85#1873C2214yes—
86#1854C2214yes—
87#1854C2214yes—
88#1846C2214yescomplemented
89#1835C2214yescomplemented
90#1817C2212yes—
91#1797C2212yes—
92#1797C2211yescharacteristic
93#1797C2211yescharacteristic
94#1788C2214yes—
95#1788C2214yes—
96#1779C2212yes—
97C4×C22⋊C8C2212yes—
98C4×C22⋊C8C2212yes—
99C22×#41C2312yes—
100C24×C4D411yescharacteristic
101C24×C4D411yescharacteristic
102C24×C4C2311yescharacteristic
103#532—28no—
104C2×C4⋊Q8C2311yescharacteristic
105C2×#127C2311yescharacteristic
106C2×#124C2312yes—
107#525—48no—
108C2×#123—22no—
109C2×C22⋊Q8C2312yes—
110C2×C22⋊Q8C2312yes—
111C2×#121—21no—
112C2×#121—21no—
113C2×#121—21no—
114C2×#121—21no—
115C2×#121—21no—
116C2×#121—21no—
117C2×#121C2312yes—
118C2×#121C2312yes—
119C2×#120—22no—
120C2×C4×D4—22no—
121C2×C4×D4—22no—
122C2×C4×D4—21no—
123C2×C4×D4—21no—
124C2×#117—21no—
125C2×#117—21no—
126C2×#117—21no—
127C2×#117—21no—
128C2×#117C2312yes—
129C2×#117C2312yes—
130C2×#117C2312yes—
131C22×C42—28no—
132C22×C42D411yescharacteristic
133C22×C42D411yescharacteristic
134C22×C42D411yescharacteristic
135C22×C42D411yescharacteristic
136C22×C42D411yescharacteristic
137C22×C42D411yescharacteristic
138C22×C42C2311yescharacteristic
139C22×C42C2311yescharacteristic
140C22×C42C2311yescharacteristic
141C22×C42C2311yescharacteristic
142C22×C42C2311yescharacteristic
143C22×C42C2311yescharacteristic
144#485—48no—
145#482—48no—
146#431—28no—
147C2×#107C2314yes—
148C2×#107C2314yes—
149C2×#106C2314yes—
150C2×#106C2314yes—
151C2×C4⋊C8C2312yes—
152C2×C4⋊C8C2312yes—
153C2×#103C2314yes—
154C2×#103C2314yes—
155C2×#103C2314yes—
156C2×#103C2314yes—
157C2×#102C2314yes—
158C2×#102C2314yes—
159C2×#102C2314yes—
160C2×#102C2314yes—
161C2×C22⋊C8C2314yes—
162C2×C22⋊C8C2314yes—
163C2×C22⋊C8C2312yes—
164C2×C22⋊C8C2312yes—
165C2×C4×C8C2314yes—
166#391C2312yes—
167#391C2312yes—
168#390—21no—
169#390—21no—
170#390—21no—
171#390—21no—
172#390C2312yes—
173#390C2312yes—
174#389—21no—
175#389—21no—
176#389—21no—
177#389—21no—
178#388—22no—
179#388—22no—
180#388—22no—
181#388—22no—
182#386—22no—
183#386—22no—
184#386—22no—
185#386—22no—
186#386—22no—
187#386—22no—
188#384C2311yescharacteristic
189#384C2311yescharacteristic
190#384C2311yescharacteristic
191#384C2311yescharacteristic
192#384C2311yescharacteristic
193#384C2311yescharacteristic
194#383—22no—
195#383—22no—
196#382—21no—
197#382—21no—
198#382—21no—
199#382—21no—
200#382C2312yes—
201#382C2312yes—
202#382C2312yes—
203#381—22no—
204#381—22no—
205#381—22no—
206#380—21no—
207#380—21no—
208#380—21no—
209#380—21no—
210#380—21no—
211#380—21no—
212#380—21no—
213#380—21no—
214#380—21no—
215#380—21no—
216#380—21no—
217#380—21no—
218#380—21no—
219#380—21no—
220#380C2312yes—
221#380C2312yes—
222#380C2312yes—
223#380C2312yes—
224#379—22no—
225C4×C4⋊C4—21no—
226C4×C4⋊C4—21no—
227C4×C4⋊C4—21no—
228C4×C4⋊C4—21no—
229C4×C4⋊C4—21no—
230C4×C4⋊C4—21no—
231C4×C4⋊C4—21no—
232C4×C4⋊C4—21no—
233C4×C4⋊C4—21no—
234C4×C4⋊C4—21no—
235C4×C4⋊C4C2312yes—
236C4×C4⋊C4C2312yes—
237C4×C4⋊C4C2312yes—
238C4×C4⋊C4C2312yes—
239C4×C22⋊C4—22no—
240C4×C22⋊C4—22no—
241C4×C22⋊C4—22no—
242C4×C22⋊C4—22no—
243C4×C22⋊C4—22no—
244C4×C22⋊C4—22no—
245C4×C22⋊C4—22no—
246C4×C22⋊C4—22no—
247#376—22no—
248#376—22no—
249#376—22no—
250C43—22no—
251#340C2314yes—
252#340C2314yes—
253#340C2314yes—
254#340C2314yes—
255#336C2312yes—
256#336C2312yes—
257#336C2314yes—
258C25C2×D411yescharacteristic
259C2×#41—28no—
260C2×#41—44no—
261C2×#41—42no—
262C2×#41—42no—
263C22×Q8C2412yes—
264C22×D4—22no—
265C22×D4—22no—
266C22×D4—22no—
267C22×D4—21no—
268C22×D4—21no—
269C22×D4C2412yes—
270C23×C4—24no—
271C23×C4—24no—
272C23×C4—24no—
273C23×C4—24no—
274C23×C4—24no—
275C23×C4—22no—
276C23×C4—42no—
277C23×C4—42no—
278C23×C4—42no—
279C23×C4—41no—
280C23×C4—41no—
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×C4C2×D411yescharacteristic
293C23×C4C2×D411yescharacteristic
294C23×C4C2×D411yescharacteristic
295C23×C4C2×D411yescharacteristic
296C23×C4C2411yescharacteristic
297C23×C4C2411yescharacteristic
298C23×C4C2411yescharacteristic
299C22×C8C2414yes—
300C22×C8C2414yes—
301C4⋊Q8—24no—
302#127—24no—
303#124—28no—
304#123—48no—
305C22⋊Q8—28no—
306C22⋊Q8—44no—
307#121—28no—
308#121—44no—
309#121—44no—
310#121—44no—
311#121—44no—
312#121—44no—
313#121—44no—
314#121—44no—
315#120—48no—
316C4×D4—48no—
317C4×D4—48no—
318C4×D4—44no—
319C4×D4—44no—
320#117—24no—
321#117—24no—
322#117—42no—
323#117—42no—
324#117—44no—
325#117—44no—
326#117—44no—
327#117—44no—
328#117—44no—
329C2×C4⋊C4—21no—
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—21no—
344C2×C4⋊C4—21no—
345C2×C4⋊C4C2412yes—
346C2×C4⋊C4C2412yes—
347C2×C4⋊C4C2412yes—
348C2×C4⋊C4C2412yes—
349C2×C4⋊C4C2412yes—
350C2×C4⋊C4C2412yes—
351C2×C22⋊C4—22no—
352C2×C22⋊C4—22no—
353C2×C22⋊C4—22no—
354C2×C22⋊C4—22no—
355C2×C22⋊C4—22no—
356C2×C22⋊C4—22no—
357C2×C22⋊C4—22no—
358C2×C22⋊C4—22no—
359C2×C22⋊C4—22no—
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×C42—24no—
369C2×C42—24no—
370C2×C42—24no—
371C2×C42—24no—
372C2×C42—24no—
373C2×C42—24no—
374C2×C42—24no—
375C2×C42—24no—
376C2×C42—24no—
377C2×C42—24no—
378C2×C42—24no—
379C2×C42—22no—
380C2×C42—22no—
381C2×C42—22no—
382C2×C42—22no—
383C2×C42—22no—
384C2×C42—22no—
385C2×C42—22no—
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×C42#4118yes—
399C2×C42C2411yescharacteristic
400C2×C42C2411yescharacteristic
401C2×C42C2411yescharacteristic
402C2×C42C2411yescharacteristic
403#107—44no—
404#107—44no—
405#106—44no—
406#106—44no—
407C4⋊C8—24no—
408C4⋊C8—24no—
409#103—44no—
410#103—44no—
411#103—44no—
412#103—44no—
413#102—44no—
414#102—44no—
415#102—44no—
416#102—44no—
417C22⋊C8—28no—
418C22⋊C8—28no—
419C22⋊C8—42no—
420C22⋊C8—42no—
421C4×C8—28no—
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—
438#95—22no—
439#95—22no—
440C24—22no—
441C24—22no—
442C24—22no—
443C24—22no—
444C24—41no—
445C24—41no—
446C24—41no—
447C24—41no—
448C24C22×D411yescharacteristic
449C24C22×D411yescharacteristic
450C24C22×D411yescharacteristic
451#41—88no—
452#41—88no—
453C2×Q8—24no—
454C2×Q8—24no—
455C2×Q8—22no—
456C2×Q8—22no—
457C2×D4—24no—
458C2×D4—24no—
459C2×D4—22no—
460C2×D4—22no—
461C2×D4—42no—
462C2×D4—42no—
463C2×D4—44no—
464C2×D4—44no—
465C2×D4—44no—
466C2×D4—44no—
467C2×D4—44no—
468C2×D4—44no—
469C2×D4—44no—
470C2×D4—44no—
471C2×D4—44no—
472C2×D4—42no—
473C2×D4—42no—
474C2×D4—42no—
475C2×D4—42no—
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—22no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
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—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
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—22no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—41no—
524C22×C4—41no—
525C22×C4—41no—
526C22×C4—41no—
527C22×C4—41no—
528C22×C4—41no—
529C22×C4—41no—
530C22×C4—41no—
531C22×C4—41no—
532C22×C4—41no—
533C22×C4—41no—
534C22×C4—41no—
535C22×C4—416no—
536C22×C4—48no—
537C22×C4—48no—
538C22×C4—416no—
539C22×C4—44no—
540C22×C4—44no—
541C22×C4—44no—
542C22×C4#12314yes—
543C22×C4#12314yes—
544C22×C4#13514yes—
545C22×C4C22×D411yescharacteristic
546C22×C4C22×D411yescharacteristic
547C22×C4C22×D411yescharacteristic
548C22×C4C22×D411yescharacteristic
549C22×C4C22×D411yescharacteristic
550C22×C4C22×D411yescharacteristic
551C22×C4C22×D411yescharacteristic
552C22×C4C22×D411yescharacteristic
553C22×C4C22×D411yescharacteristic
554C22×C4C22×D411yescharacteristic
555C22×C4C22×D411yescharacteristic
556C22×C4C2×#4114yes—
557C22×C4H(5,𝔽2)14yes—
558C22×C4C2511yescharacteristic
559C2×C8—24no—
560C2×C8—24no—
561C2×C8—24no—
562C2×C8—24no—
563C2×C8—24no—
564C2×C8—24no—
565C4⋊C4—22no—
566C4⋊C4—22no—
567C4⋊C4—22no—
568C4⋊C4—22no—
569C4⋊C4—24no—
570C4⋊C4—24no—
571C4⋊C4—22no—
572C4⋊C4—22no—
573C4⋊C4—22no—
574C4⋊C4—22no—
575C4⋊C4—42no—
576C4⋊C4—42no—
577C4⋊C4—42no—
578C4⋊C4—42no—
579C4⋊C4—44no—
580C4⋊C4—42no—
581C4⋊C4—42no—
582C4⋊C4—42no—
583C4⋊C4—42no—
584C4⋊C4—44no—
585C4⋊C4—42no—
586C4⋊C4—42no—
587C4⋊C4—42no—
588C4⋊C4—42no—
589C4⋊C4—42no—
590C4⋊C4—42no—
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—
600C22⋊C4—44no—
601C22⋊C4—44no—
602C22⋊C4—44no—
603C22⋊C4—44no—
604C22⋊C4—44no—
605C22⋊C4—44no—
606C22⋊C4—44no—
607C22⋊C4—44no—
608C42—22no—
609C42—22no—
610C42—22no—
611C42—22no—
612C42—22no—
613C42—22no—
614C42—22no—
615C42—22no—
616C42—22no—
617C42—22no—
618C42—22no—
619C42—22no—
620C42—44no—
621C42—44no—
622C42—44no—
623C42—44no—
624C42—44no—
625C42—44no—
626C42—44no—
627C42#12314yes—
628C42#12314yes—
629C42C2×#4114yes—
630C42C2×#4114yes—
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—21no—
646C23—21no—
647C23—21no—
648C23—21no—
649C23—44no—
650C23—44no—
651C23—44no—
652C23—44no—
653C23—44no—
654C23—44no—
655C23—44no—
656C23—42no—
657C23—42no—
658C23—42no—
659C23—42no—
660C23—42no—
661C23—42no—
662C23—42no—
663C23C2×#12312yes—
664C23#53512yes—
665C23C2×#13512yes—
666C23C23×D411yescharacteristic
667Q8—44no—
668Q8—44no—
669D4—44no—
670D4—44no—
671D4—84no—
672D4—88no—
673D4—88no—
674D4—88no—
675D4—84no—
676C2×C4—28no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—21no—
691C2×C4—21no—
692C2×C4—21no—
693C2×C4—28no—
694C2×C4—28no—
695C2×C4—24no—
696C2×C4—24no—
697C2×C4—24no—
698C2×C4—24no—
699C2×C4—21no—
700C2×C4—21no—
701C2×C4—21no—
702C2×C4—21no—
703C2×C4—21no—
704C2×C4—21no—
705C2×C4—44no—
706C2×C4—44no—
707C2×C4—44no—
708C2×C4—44no—
709C2×C4—44no—
710C2×C4—44no—
711C2×C4—44no—
712C2×C4—44no—
713C2×C4—44no—
714C2×C4—44no—
715C2×C4—44no—
716C2×C4—44no—
717C2×C4—42no—
718C2×C4—42no—
719C2×C4—42no—
720C2×C4—42no—
721C2×C4—42no—
722C2×C4—42no—
723C2×C4—42no—
724C2×C4—42no—
725C2×C4—42no—
726C2×C4—42no—
727C2×C4—42no—
728C2×C4—42no—
729C2×C4—42no—
730C2×C4—42no—
731C2×C4—42no—
732C2×C4—42no—
733C2×C4—42no—
734C2×C4—42no—
735C2×C4—42no—
736C2×C4—42no—
737C2×C4—42no—
738C2×C4—42no—
739C2×C4—42no—
740C2×C4—88no—
741C2×C4C2×#12312yes—
742C2×C4C2×#12312yes—
743C2×C4C2×#12312yes—
744C2×C4C2×#12312yes—
745C2×C4C2×#12312yes—
746C2×C4#53512yes—
747C2×C4C2×#13512yes—
748C2×C4C2×#13512yes—
749C2×C4#57512yes—
750C2×C4#57512yes—
751C2×C4#57512yes—
752C2×C4C22×#4112yes—
753C2×C4C2×H(5,𝔽2)12yes—
754C2×C4#58511yescharacteristic
755C2×C4#58511yescharacteristic
756C8—44no—
757C8—44no—
758C22—22no—
759C22—22no—
760C22—22no—
761C22—22no—
762C22—22no—
763C22—22no—
764C22—22no—
765C22—22no—
766C22—22no—
767C22—416no—
768C22—41no—
769C22—41no—
770C22—41no—
771C22—41no—
772C22—41no—
773C22—41no—
774C22—41no—
775C22—41no—
776C22—41no—
777C22—41no—
778C22—41no—
779C22—41no—
780C22—82no—
781C22—82no—
782C22—82no—
783C22—82no—
784C22—82no—
785C22—82no—
786C22—82no—
787C22C22×#12311yescharacteristic
788C22C2×#53511yescharacteristic
789C22#344911yescharacteristic
790C22C22×#13511yescharacteristic
791C22C2×#57511yescharacteristic
792C22C2×#57511yescharacteristic
793C22C2×#57511yescharacteristic
794C4—22no—
795C4—22no—
796C4—22no—
797C4—22no—
798C4—22no—
799C4—22no—
800C4—22no—
801C4—22no—
802C4—41no—
803C4—41no—
804C4—82no—
805C4—82no—
806C4—82no—
807C4—82no—
808C4—82no—
809C4—82no—
810C4—82no—
811C4#309114yes—
812C4#349412yes—
813C4#349412yes—
814C2—42no—
815C2—42no—
816C2—42no—
817C2—162no—
818C2#3526211yescharacteristic
819C2C2×#309111yescharacteristic
820C2#6051111yescharacteristic
821C2#6078211yescharacteristic
822C2#6080211yescharacteristic
823C2#6094811yescharacteristic
824C2#6096711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36624C2
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
2. #34012C2semidirect
3. #33114C2semidirect
4. #33113C2semidirect
5. #29923C2semidirect
6. #29922C2semidirect
7. #29921C2semidirect
8. #29920C2semidirect
9. #27976C2semidirect
10. #27911C2semidirect
11. #27893C2semidirect
12. #27587C2semidirect
13. #27584C2semidirect
14. #24008C2semidirect
15. #21985C2semidirect
16. #21807C2semidirect
17. #20714C2semidirect
58. #2096C22semidirect
59. #2095C22semidirect
60. #2094C22semidirect
61. #2093C22semidirect
62. #2072C22semidirect
63. #2072C22semidirect
64. #2071C22semidirect
65. #2071C22semidirect
70. #1982C22semidirect
71. #1982C22semidirect
72. #1981C22semidirect
73. #1981C22semidirect
74. #1958C22semidirect
75. #1958C22semidirect
76. #1948C22semidirect
77. #1948C22semidirect
78. #1947C22semidirect
79. #1947C22semidirect
80. #1928C22semidirect
81. #1927C22semidirect
82. #1926C22semidirect
83. #1925C22semidirect
88. #1846C22semidirect
89. #1835C22semidirect

Maximal subgroups

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

subgroupindex
#366242
#340122
#331142
#331132
#299232
#299222
#299212
#299202
#279762
#279112
#278932
#275872
#275842
#240082
#219852
#218072
#207142