Finite Group Databasebeta

← #6436925

Subgroups — #6436925

Order 512.

1894 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#36624C211yesmaximal, characteristic
2#34012C211yesmaximal, characteristic, complemented
3#29941C212yesmaximal, complemented
4#29937C211yesmaximal, characteristic, complemented
5#29936C211yesmaximal, characteristic, complemented
6#29925C212yesmaximal, complemented
7#29921C211yesmaximal, characteristic, complemented
8#29920C211yesmaximal, characteristic, complemented
9#29914C212yesmaximal, complemented
10#29910C212yesmaximal, complemented
11#29896C214yesmaximal, complemented
12#23764C214yesmaximal, complemented
13#23761C212yesmaximal, complemented
14#23760C212yesmaximal, complemented
15#21393C212yesmaximal, complemented
16#21364C212yesmaximal, complemented
17#20715C211yesmaximal, characteristic, complemented
18C2×#532C2211yescharacteristic
19C2×#525—21no—
20C23×C42C2211yescharacteristic
21C2×#432C2212yes—
22#2857C2211yescharacteristic
23#2857C2211yescharacteristic
24#2856C2211yescharacteristic
25#2856C2211yescharacteristic
26#2854—21no—
27#2854C2212yes—
28#2850—21no—
29#2850—21no—
30#2847—21no—
31#2847C2212yes—
32C4×#121—21no—
33C4×#121—21no—
34C4×#121C2212yes—
35C4×#121C2212yes—
36#2297—21no—
37#2285C2211yescharacteristic
38#2285C2211yescharacteristic
39#2285C2211yescharacteristic
40#2285C2211yescharacteristic
41#2285C2211yescharacteristic
42#2285C2211yescharacteristic
43#2285C2211yescharacteristic
44#2283—21no—
45#2283—21no—
46#2283—21no—
47#2283—21no—
48#2283C2212yes—
49#2283C2212yes—
50#2280—21no—
51#2280—21no—
52#2280C2212yes—
53C4×#117—21no—
54C4×#117—21no—
55C4×#117C2212yes—
56#2101C2214yescomplemented
57#2100C2212yescomplemented
58#2099C2212yescomplemented
59#2094C2212yescomplemented
60#2093C2212yescomplemented
61#2092C2214yescomplemented
62#2085C2214yescomplemented
63#2084C2212yescomplemented
64#2083C2212yescomplemented
65#2077C2214yes—
66#2077C2214yes—
67#2076C2214yes—
68#2075C2214yes—
69#2073C2214yescomplemented
70#2071C2212yescomplemented
71#2071C2212yescomplemented
72#2034C2214yes—
73#2034C2214yes—
74#2033C2214yes—
75#2033C2214yes—
76#1988C2212yescomplemented
77#1988C2212yescomplemented
78#1982C2212yescomplemented
79#1982C2212yescomplemented
80#1948C2212yescomplemented
81#1948C2212yescomplemented
82#1947C2212yescomplemented
83#1947C2212yescomplemented
84#1875C2214yes—
85#1875C2214yes—
86#1854C2214yes—
87#1854C2214yes—
88#1817C2212yes—
89#1797C2211yescharacteristic
90#1797C2211yescharacteristic
91#1797C2212yes—
92#1779C2212yes—
93#1776C2214yescomplemented
94#1776C2214yescomplemented
95#1762C2214yescomplemented
96#1762C2214yescomplemented
97#1749C2212yes—
98#1749C2212yes—
99C22×#41—21no—
100C24×C4D411yescharacteristic
101C24×C4D411yescharacteristic
102C24×C4C2311yescharacteristic
103#532—28no—
104C2×C4⋊Q8C2311yescharacteristic
105C2×#127C2311yescharacteristic
106C2×#124—21no—
107#525—48no—
108C2×#123—22no—
109C2×C22⋊Q8—21no—
110C2×C22⋊Q8—21no—
111C2×#121—21no—
112C2×#121—21no—
113C2×#121—21no—
114C2×#121—21no—
115C2×#121—21no—
116C2×#121C2312yes—
117C2×#121C2312yes—
118C2×#121C2312yes—
119C2×#120—22no—
120C2×C4×D4—22no—
121C2×C4×D4—22no—
122C2×C4×D4—21no—
123C2×C4×D4C2312yes—
124C2×#117—21no—
125C2×#117—21no—
126C2×#117—21no—
127C2×#117—21no—
128C2×#117—21no—
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#432—28no—
145C2×#107C2314yes—
146C2×#107C2314yes—
147C2×#106C2314yes—
148C2×#106C2314yes—
149C2×C4⋊C8C2312yes—
150C2×C4⋊C8C2312yes—
151C2×#102C2314yes—
152C2×#102C2314yes—
153C2×#102C2314yes—
154C2×#102C2314yes—
155C2×C22⋊C8C2314yes—
156C2×C22⋊C8C2312yes—
157C2×C22⋊C8C2314yes—
158C2×C22⋊C8C2312yes—
159C2×#97C2314yes—
160#391—21no—
161#391—21no—
162#390—21no—
163#390—21no—
164#390—21no—
165#390—21no—
166#390C2312yes—
167#390C2312yes—
168#389—21no—
169#389—21no—
170#389C2312yes—
171#389C2312yes—
172#388—22no—
173#388—22no—
174#388—22no—
175#388—22no—
176#386—22no—
177#386—22no—
178#386—22no—
179#386—22no—
180#386—22no—
181#386—22no—
182#384C2311yescharacteristic
183#384C2311yescharacteristic
184#384C2311yescharacteristic
185#384C2311yescharacteristic
186#384C2311yescharacteristic
187#384C2311yescharacteristic
188#383—22no—
189#383—22no—
190#382—21no—
191#382—21no—
192#382—21no—
193#382—21no—
194#382—21no—
195#382C2312yes—
196#382C2312yes—
197#381—22no—
198#381—22no—
199#381—22no—
200#380—21no—
201#380—21no—
202#380—21no—
203#380—21no—
204#380—21no—
205#380—21no—
206#380—21no—
207#380—21no—
208#380—21no—
209#380—21no—
210#380—21no—
211#380C2312yes—
212#380C2312yes—
213#380C2312yes—
214#380C2312yes—
215#380C2312yes—
216#380C2312yes—
217#380C2312yes—
218#379—22no—
219C4×C4⋊C4—21no—
220C4×C4⋊C4—21no—
221C4×C4⋊C4—21no—
222C4×C4⋊C4—21no—
223C4×C4⋊C4—21no—
224C4×C4⋊C4—21no—
225C4×C4⋊C4—21no—
226C4×C4⋊C4—21no—
227C4×C4⋊C4—21no—
228C4×C4⋊C4C2312yes—
229C4×C4⋊C4C2312yes—
230C4×C4⋊C4C2312yes—
231C4×C4⋊C4C2312yes—
232C4×C4⋊C4C2312yes—
233C4×C22⋊C4—22no—
234C4×C22⋊C4—22no—
235C4×C22⋊C4—22no—
236C4×C22⋊C4—22no—
237C4×C22⋊C4—22no—
238C4×C22⋊C4—22no—
239C4×C22⋊C4—22no—
240C4×C22⋊C4—22no—
241#376—22no—
242#376—22no—
243#376—22no—
244C43—22no—
245#340C2314yes—
246#340C2314yes—
247#340C2314yes—
248#340C2314yes—
249#340C2314yes—
250#340C2314yes—
251#340C2314yes—
252#340C2314yes—
253#336C2312yes—
254#336C2312yes—
255#336C2314yes—
256C25C2×D411yescharacteristic
257C2×#41—44no—
258C2×#41—44no—
259C2×#41—44no—
260C22×Q8—21no—
261C22×D4—22no—
262C22×D4—22no—
263C22×D4—22no—
264C22×D4—21no—
265C22×D4—21no—
266C22×D4C2412yes—
267C23×C4—24no—
268C23×C4—24no—
269C23×C4—24no—
270C23×C4—24no—
271C23×C4—22no—
272C23×C4—42no—
273C23×C4—42no—
274C23×C4—41no—
275C23×C4—41no—
276C23×C4—42no—
277C23×C4—42no—
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×C4C2×D411yescharacteristic
293C23×C4C2411yescharacteristic
294C23×C4C2411yescharacteristic
295C23×C4C2411yescharacteristic
296C22×C8C2414yes—
297C22×C8C2414yes—
298C4⋊Q8—24no—
299#127—24no—
300#124—44no—
301#123—48no—
302C22⋊Q8—44no—
303C22⋊Q8—44no—
304#121—28no—
305#121—42no—
306#121—44no—
307#121—42no—
308#121—44no—
309#121—44no—
310#121—44no—
311#121—44no—
312#121—44no—
313#120—48no—
314C4×D4—28no—
315C4×D4—48no—
316C4×D4—48no—
317C4×D4—44no—
318#117—42no—
319#117—42no—
320#117—42no—
321#117—42no—
322#117—44no—
323#117—44no—
324#117—44no—
325#117—44no—
326#117—44no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—21no—
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—22no—
339C2×C4⋊C4—22no—
340C2×C4⋊C4—21no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4C2412yes—
343C2×C4⋊C4C2412yes—
344C2×C4⋊C4C2412yes—
345C2×C4⋊C4C2412yes—
346C2×C4⋊C4C2412yes—
347C2×C4⋊C4C2412yes—
348C2×C4⋊C4C2412yes—
349C2×C22⋊C4—22no—
350C2×C22⋊C4—22no—
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×C42—24no—
367C2×C42—24no—
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—22no—
378C2×C42—22no—
379C2×C42—22no—
380C2×C42—22no—
381C2×C42—22no—
382C2×C42—22no—
383C2×C42—22no—
384C2×C42C2×D411yescharacteristic
385C2×C42C2×D411yescharacteristic
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×C42#4118yes—
397C2×C42C2411yescharacteristic
398C2×C42C2411yescharacteristic
399C2×C42C2411yescharacteristic
400C2×C42C2411yescharacteristic
401#107—44no—
402#107—44no—
403#106—44no—
404#106—44no—
405C4⋊C8—24no—
406C4⋊C8—24no—
407#102—44no—
408#102—44no—
409#102—44no—
410#102—44no—
411C22⋊C8—28no—
412C22⋊C8—42no—
413C22⋊C8—44no—
414C22⋊C8—42no—
415#97—28no—
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—
434C24—22no—
435C24—22no—
436C24—22no—
437C24—22no—
438C24—41no—
439C24—41no—
440C24—41no—
441C24—41no—
442C24C22×D411yescharacteristic
443C24C22×D411yescharacteristic
444C24C22×D411yescharacteristic
445#41—816no—
446C2×Q8—42no—
447C2×Q8—42no—
448C2×Q8—42no—
449C2×D4—24no—
450C2×D4—24no—
451C2×D4—22no—
452C2×D4—22no—
453C2×D4—42no—
454C2×D4—42no—
455C2×D4—44no—
456C2×D4—44no—
457C2×D4—44no—
458C2×D4—44no—
459C2×D4—44no—
460C2×D4—44no—
461C2×D4—44no—
462C2×D4—44no—
463C2×D4—44no—
464C2×D4—42no—
465C2×D4—42no—
466C2×D4—42no—
467C2×D4—42no—
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—21no—
477C22×C4—21no—
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—22no—
499C22×C4—22no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—22no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—41no—
513C22×C4—41no—
514C22×C4—41no—
515C22×C4—41no—
516C22×C4—41no—
517C22×C4—41no—
518C22×C4—41no—
519C22×C4—41no—
520C22×C4—41no—
521C22×C4—41no—
522C22×C4—41no—
523C22×C4—41no—
524C22×C4—41no—
525C22×C4—41no—
526C22×C4—41no—
527C22×C4—41no—
528C22×C4—416no—
529C22×C4—416no—
530C22×C4—48no—
531C22×C4—48no—
532C22×C4—44no—
533C22×C4—44no—
534C22×C4—44no—
535C22×C4#12314yes—
536C22×C4#12314yes—
537C22×C4AGL(1,ℤ/8)14yes—
538C22×C4C22×D411yescharacteristic
539C22×C4C22×D411yescharacteristic
540C22×C4C22×D411yescharacteristic
541C22×C4C22×D411yescharacteristic
542C22×C4C22×D411yescharacteristic
543C22×C4C22×D411yescharacteristic
544C22×C4C22×D411yescharacteristic
545C22×C4C22×D411yescharacteristic
546C22×C4C22×D411yescharacteristic
547C22×C4C22×D411yescharacteristic
548C22×C4C22×D411yescharacteristic
549C22×C4C2×#4114yes—
550C22×C4C2511yescharacteristic
551C2×C8—24no—
552C2×C8—24no—
553C2×C8—24no—
554C2×C8—24no—
555C2×C8—24no—
556C2×C8—24no—
557C4⋊C4—24no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—24no—
566C4⋊C4—22no—
567C4⋊C4—22no—
568C4⋊C4—22no—
569C4⋊C4—42no—
570C4⋊C4—42no—
571C4⋊C4—42no—
572C4⋊C4—42no—
573C4⋊C4—44no—
574C4⋊C4—42no—
575C4⋊C4—42no—
576C4⋊C4—42no—
577C4⋊C4—42no—
578C4⋊C4—42no—
579C4⋊C4—42no—
580C4⋊C4—42no—
581C4⋊C4—44no—
582C4⋊C4—42no—
583C4⋊C4—42no—
584C22⋊C4—44no—
585C22⋊C4—44no—
586C22⋊C4—44no—
587C22⋊C4—44no—
588C22⋊C4—44no—
589C22⋊C4—44no—
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—
600C22⋊C4—44no—
601C42—22no—
602C42—22no—
603C42—22no—
604C42—22no—
605C42—22no—
606C42—22no—
607C42—22no—
608C42—22no—
609C42—22no—
610C42—22no—
611C42—22no—
612C42—22no—
613C42—44no—
614C42—44no—
615C42—44no—
616C42—44no—
617C42—44no—
618C42—44no—
619C42—44no—
620C42#12314yes—
621C42#12314yes—
622C42C2×#4114yes—
623C42C2×#4114yes—
624C23—21no—
625C23—21no—
626C23—21no—
627C23—21no—
628C23—21no—
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—44no—
643C23—44no—
644C23—44no—
645C23—44no—
646C23—44no—
647C23—44no—
648C23—44no—
649C23—42no—
650C23—42no—
651C23—42no—
652C23—42no—
653C23—42no—
654C23—42no—
655C23—42no—
656C23C2×#12312yes—
657C23C2×AGL(1,ℤ/8)12yes—
658C23#57512yes—
659C23C23×D411yescharacteristic
660Q8—84no—
661D4—44no—
662D4—44no—
663D4—84no—
664D4—88no—
665D4—88no—
666D4—88no—
667D4—84no—
668C2×C4—28no—
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—28no—
682C2×C4—28no—
683C2×C4—24no—
684C2×C4—24no—
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—21no—
694C2×C4—21no—
695C2×C4—21no—
696C2×C4—21no—
697C2×C4—44no—
698C2×C4—44no—
699C2×C4—44no—
700C2×C4—44no—
701C2×C4—44no—
702C2×C4—44no—
703C2×C4—44no—
704C2×C4—44no—
705C2×C4—44no—
706C2×C4—44no—
707C2×C4—44no—
708C2×C4—44no—
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—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—88no—
735C2×C4C2×#12312yes—
736C2×C4C2×#12312yes—
737C2×C4C2×#12312yes—
738C2×C4C2×#12312yes—
739C2×C4C2×#12312yes—
740C2×C4C2×AGL(1,ℤ/8)12yes—
741C2×C4C2×AGL(1,ℤ/8)12yes—
742C2×C4#57512yes—
743C2×C4#57512yes—
744C2×C4C22×#4112yes—
745C2×C4#58512yes—
746C2×C4#58511yescharacteristic
747C2×C4#58511yescharacteristic
748C8—44no—
749C8—44no—
750C22—22no—
751C22—22no—
752C22—22no—
753C22—22no—
754C22—22no—
755C22—22no—
756C22—22no—
757C22—22no—
758C22—22no—
759C22—416no—
760C22—41no—
761C22—41no—
762C22—41no—
763C22—41no—
764C22—41no—
765C22—41no—
766C22—41no—
767C22—41no—
768C22—41no—
769C22—41no—
770C22—41no—
771C22—41no—
772C22—82no—
773C22—82no—
774C22—82no—
775C22—82no—
776C22—82no—
777C22—82no—
778C22—82no—
779C22C22×#12311yescharacteristic
780C22#344911yescharacteristic
781C22#344911yescharacteristic
782C22C22×AGL(1,ℤ/8)11yescharacteristic
783C22C2×#57511yescharacteristic
784C22C2×#57511yescharacteristic
785C22C2×#57511yescharacteristic
786C4—22no—
787C4—22no—
788C4—22no—
789C4—22no—
790C4—22no—
791C4—22no—
792C4—41no—
793C4—41no—
794C4—41no—
795C4—41no—
796C4—82no—
797C4—82no—
798C4—82no—
799C4—82no—
800C4—82no—
801C4—82no—
802C4—82no—
803C4#309414yes—
804C4#345512yes—
805C4#345512yes—
806C2—42no—
807C2—42no—
808C2—42no—
809C2—162no—
810C2#3463511yescharacteristic
811C2C2×#309411yescharacteristic
812C2#6051111yescharacteristic
813C2#6096111yescharacteristic
814C2#6096211yescharacteristic
815C2#6096511yescharacteristic
816C2#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. #29941C2semidirect
4. #29937C2semidirect
5. #29936C2semidirect
6. #29925C2semidirect
7. #29921C2semidirect
8. #29920C2semidirect
9. #29914C2semidirect
10. #29910C2semidirect
11. #29896C2semidirect
12. #23764C2semidirect
13. #23761C2semidirect
14. #23760C2semidirect
15. #21393C2semidirect
16. #21364C2semidirect
17. #20715C2semidirect
56. #2101C22semidirect
57. #2100C22semidirect
58. #2099C22semidirect
59. #2094C22semidirect
60. #2093C22semidirect
61. #2092C22semidirect
62. #2085C22semidirect
63. #2084C22semidirect
64. #2083C22semidirect
69. #2073C22semidirect
70. #2071C22semidirect
71. #2071C22semidirect
76. #1988C22semidirect
77. #1988C22semidirect
78. #1982C22semidirect
79. #1982C22semidirect
80. #1948C22semidirect
81. #1948C22semidirect
82. #1947C22semidirect
83. #1947C22semidirect
93. #1776C22semidirect
94. #1776C22semidirect
95. #1762C22semidirect
96. #1762C22semidirect

Maximal subgroups

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

subgroupindex
#366242
#340122
#299412
#299372
#299362
#299252
#299212
#299202
#299142
#299102
#298962
#237642
#237612
#237602
#213932
#213642
#207152