Finite Group Databasebeta

← #6475904

Subgroups — #6475904

Order 512.

2920 conjugacy classes of subgroups.

The subgroup lattice has 806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#35325C211yesmaximal, characteristic, complemented
2C2×#2309C211yesmaximal, characteristic
3#32985C212yesmaximal, complemented
4#32881C212yesmaximal
5#29959C212yesmaximal, complemented
6#29723C212yesmaximal, complemented
7#29116C212yesmaximal, complemented
8#28320C212yesmaximal, complemented
9#28130C214yesmaximal, complemented
10#27588C212yesmaximal, complemented
11#24507C212yesmaximal, complemented
12#24501C212yesmaximal, complemented
13#23933C212yesmaximal, complemented
14#22052C214yesmaximal, complemented
15#20717C211yesmaximal, characteristic, complemented
16C24×D4C2211yescharacteristic
17C2×#533C2211yescharacteristic, complemented
18C22×#117C2211yescharacteristic
19C22×#117C2211yescharacteristic
20C2×#485C2214yescomplemented
21C2×#450C2214yes—
22C2×#450C2212yes—
23C2×#450C2212yes—
24C2×#450C2214yes—
25C2×#432C2211yescharacteristic, complemented
26C2×#431C2211yescharacteristic, complemented
27#2855C2212yescomplemented
28#2848C2212yes—
29#2628C2211yescharacteristic, complemented
30#2628C2211yescharacteristic, complemented
31#2621C2211yescharacteristic, complemented
32#2621C2211yescharacteristic, complemented
33#2611—21no—
34#2611—21no—
35#2599—21no—
36#2599—21no—
37#2583—21no—
38#2561—21no—
39#2484—21no—
40#2482—21no—
41#2323C2212yescomplemented
42#2323C2212yescomplemented
43#2309—21no—
44#2309—21no—
45#2309—21no—
46#2309—21no—
47#2309C2212yes—
48#2309C2212yes—
49#2309C2212yes—
50#2309C2212yes—
51C2×#390—21no—
52C2×#390—21no—
53C2×#390C2212yes—
54C2×#390C2212yes—
55#2283C2211yescharacteristic, complemented
56C2×#379—21no—
57C2×#379—21no—
58#2092C2214yescomplemented
59#2073C2214yescomplemented
60#2067C2214yescomplemented
61#2065C2214yescomplemented
62#2055C2214yescomplemented
63#2055C2214yescomplemented
64#2023C2214yescomplemented
65#2013C2214yescomplemented
66#1973C2214yescomplemented
67#1968C2214yescomplemented
68#1936C2214yescomplemented
69#1934C2214yescomplemented
70#1926C2214yescomplemented
71#1925C2214yescomplemented
72#1880C2214yescomplemented
73#1880C2214yescomplemented
74#1873C2214yescomplemented
75#1872C2212yescomplemented
76#1872C2212yescomplemented
77#1854C2214yescomplemented
78#1853C2212yescomplemented
79#1852C2212yescomplemented
80#1825C2214yescomplemented
81#1817C2212yescomplemented
82#1798C2212yescomplemented
83#1798C2212yescomplemented
84#1786C2214yes—
85#1786C2212yes—
86#1786C2212yes—
87#1786C2214yes—
88#1779C2212yes—
89#1750C2212yescomplemented
90#1750C2212yescomplemented
91C26—21no—
92C23×D4—28no—
93C23×D4—21no—
94C23×D4—21no—
95C23×D4—21no—
96C23×D4—42no—
97C23×D4—42no—
98C23×D4—44no—
99C23×D4C2312yes—
100C23×D4C2312yes—
101C23×D4C2312yes—
102C24×C4C2311yescharacteristic
103C22×SD16C2314yes—
104C22×SD16C2314yes—
105#533—42no—
106#533—42no—
107C2×C4⋊Q8C2311yescharacteristic, complemented
108C2×C4⋊Q8C2311yescharacteristic, complemented
109C2×#125—21no—
110C2×C22⋊Q8—21no—
111C2×C22⋊Q8C2312yes—
112C2×C22⋊Q8C2312yes—
113C2×C22⋊Q8C2312yes—
114C2×C4×Q8—21no—
115C2×C4×Q8C2312yescomplemented
116C2×#117—21no—
117C2×#117—21no—
118C2×#117—21no—
119C2×#117—42no—
120C2×#117—42no—
121C2×#117—44no—
122C2×#117D411yescharacteristic
123C2×#117D411yescharacteristic
124C2×#117D411yescharacteristic
125C2×#117D411yescharacteristic
126C2×#117C2312yes—
127C2×#117C2312yes—
128C2×#117C2311yescharacteristic
129C2×#117C2311yescharacteristic
130C2×#117C2311yescharacteristic
131C2×#117C2311yescharacteristic
132C22×C4⋊C4D411yescharacteristic
133C22×C4⋊C4D411yescharacteristic
134C22×C4⋊C4C2312yes—
135C22×C22⋊C4—21no—
136C22×C22⋊C4—22no—
137C22×C22⋊C4—22no—
138C22×C22⋊C4—22no—
139C22×C22⋊C4—22no—
140C22×C22⋊C4D411yescharacteristic
141C22×C22⋊C4D411yescharacteristic
142C22×C42—21no—
143C22×C42C2311yescharacteristic
144C22×C42C2311yescharacteristic
145#485—48no—
146#450—216no—
147#450—44no—
148#450—44no—
149#450—48no—
150#432—42no—
151#431—42no—
152C2×#107C2314yescomplemented
153C2×#106C2314yescomplemented
154C2×C4⋊C8C2312yescomplemented
155C2×C4⋊C8C2312yescomplemented
156C2×#103C2314yescomplemented
157C2×#103C2314yescomplemented
158C2×#102C2314yes—
159C2×#102C2314yes—
160C2×#102C2314yes—
161C2×#102C2314yes—
162C2×#102C2314yes—
163C2×#102C2314yes—
164C2×C22⋊C8C2314yes—
165C2×C22⋊C8C2314yes—
166C2×C22⋊C8C2312yes—
167C2×C22⋊C8C2312yes—
168C2×#97C2312yescomplemented
169C2×C4×C8C2312yescomplemented
170#400—21no—
171#400—21no—
172#399—21no—
173#399—21no—
174#398—21no—
175#398—21no—
176#398—21no—
177#398—21no—
178#397—21no—
179#397—21no—
180#397—21no—
181#397—21no—
182#395—21no—
183#395—21no—
184#393—21no—
185#393—21no—
186#391C2312yescomplemented
187#391C2312yescomplemented
188#390—22no—
189#390—22no—
190#390—22no—
191#390—22no—
192#390—22no—
193#390—22no—
194#390—22no—
195#390—22no—
196#390—22no—
197#390—22no—
198#390—22no—
199#390—22no—
200#390C2314yes—
201#390C2314yes—
202#390C2314yes—
203#390C2314yes—
204#389—22no—
205#389—22no—
206#389C2312yescomplemented
207#389C2312yescomplemented
208#388—22no—
209#388—22no—
210#388—22no—
211#388—22no—
212#387—22no—
213#387—22no—
214#387—22no—
215#387—22no—
216#385—22no—
217#385—22no—
218#385—22no—
219#385—22no—
220#383—21no—
221#382C2311yescharacteristic, complemented
222#382C2311yescharacteristic, complemented
223#381—22no—
224#381—21no—
225#380C2312yes—
226#380C2312yes—
227#380C2312yes—
228#379—22no—
229#379—22no—
230#379—22no—
231#379—22no—
232#379—22no—
233#379—22no—
234#379—22no—
235#379—22no—
236#379—22no—
237C4×C4⋊C4C2312yescomplemented
238C4×C22⋊C4—21no—
239#376—21no—
240#340C2314yescomplemented
241#340C2314yescomplemented
242#340C2314yescomplemented
243#340C2314yescomplemented
244#336C2314yescomplemented
245#336C2314yescomplemented
246C25—28no—
247C25—22no—
248C25—22no—
249C25—22no—
250C25—44no—
251C25—44no—
252C25—84no—
253C25—84no—
254C25C2×D411yescharacteristic
255C22×Q8—21no—
256C22×Q8C2412yes—
257C22×D4—28no—
258C22×D4—28no—
259C22×D4—28no—
260C22×D4—28no—
261C22×D4—28no—
262C22×D4—22no—
263C22×D4—22no—
264C22×D4—22no—
265C22×D4—24no—
266C22×D4—24no—
267C22×D4—24no—
268C22×D4—28no—
269C22×D4—44no—
270C22×D4—42no—
271C22×D4—42no—
272C22×D4—42no—
273C22×D4—42no—
274C22×D4—42no—
275C22×D4—42no—
276C22×D4—432no—
277C22×D4—432no—
278C22×D4—44no—
279C22×D4—44no—
280C22×D4—44no—
281C22×D4—44no—
282C22×D4—44no—
283C22×D4—44no—
284C22×D4#4118yes—
285C22×D4C2414yes—
286C23×C4—24no—
287C23×C4—22no—
288C23×C4—22no—
289C23×C4—24no—
290C23×C4—22no—
291C23×C4C2×D411yescharacteristic
292C23×C4C2×D411yescharacteristic
293C23×C4C2×D411yescharacteristic
294C23×C4C2×D411yescharacteristic
295C23×C4C2×D411yescharacteristic
296C23×C4C2×D411yescharacteristic
297C23×C4C2×D411yescharacteristic
298C23×C4C2411yescharacteristic
299C23×C4C2411yescharacteristic
300C23×C4C2411yescharacteristic
301C2×SD16—28no—
302C2×SD16—28no—
303C2×SD16—44no—
304C2×SD16—44no—
305C2×SD16—44no—
306C2×SD16—44no—
307C22×C8C2414yes—
308C22×C8C2414yes—
309C4⋊Q8—41no—
310C4⋊Q8—41no—
311C4⋊Q8—41no—
312C4⋊Q8—41no—
313#125—44no—
314C22⋊Q8—28no—
315C22⋊Q8—24no—
316C22⋊Q8—24no—
317C22⋊Q8—28no—
318C22⋊Q8—44no—
319C4×Q8—42no—
320C4×Q8—42no—
321C4×Q8—44no—
322#117—28no—
323#117—42no—
324#117—42no—
325#117—42no—
326#117—42no—
327#117—41no—
328#117—41no—
329#117—41no—
330#117—41no—
331#117—41no—
332#117—41no—
333#117—41no—
334#117—41no—
335#117—42no—
336#117—42no—
337#117—44no—
338#117—44no—
339#117—44no—
340C2×C4⋊C4—22no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—21no—
343C2×C4⋊C4—21no—
344C2×C4⋊C4—22no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—22no—
348C2×C4⋊C4—22no—
349C2×C4⋊C4—22no—
350C2×C4⋊C4—44no—
351C2×C4⋊C4—42no—
352C2×C4⋊C4—42no—
353C2×C4⋊C4C2×D411yescharacteristic
354C2×C4⋊C4C2×D411yescharacteristic
355C2×C4⋊C4C2×D411yescharacteristic
356C2×C4⋊C4C2×D411yescharacteristic
357C2×C4⋊C4C2×D411yescharacteristic
358C2×C4⋊C4C2×D411yescharacteristic
359C2×C4⋊C4C2×D411yescharacteristic
360C2×C4⋊C4C2×D411yescharacteristic
361C2×C4⋊C4C2414yes—
362C2×C4⋊C4C2412yes—
363C2×C4⋊C4C2412yes—
364C2×C4⋊C4C2412yes—
365C2×C22⋊C4—22no—
366C2×C22⋊C4—22no—
367C2×C22⋊C4—22no—
368C2×C22⋊C4—22no—
369C2×C22⋊C4—22no—
370C2×C22⋊C4—22no—
371C2×C22⋊C4—22no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—24no—
374C2×C22⋊C4—24no—
375C2×C22⋊C4—24no—
376C2×C22⋊C4—24no—
377C2×C22⋊C4—24no—
378C2×C22⋊C4—24no—
379C2×C22⋊C4—24no—
380C2×C22⋊C4—24no—
381C2×C22⋊C4—42no—
382C2×C22⋊C4—42no—
383C2×C22⋊C4—44no—
384C2×C22⋊C4—84no—
385C2×C22⋊C4—84no—
386C2×C22⋊C4—84no—
387C2×C22⋊C4—84no—
388C2×C22⋊C4C2×D411yescharacteristic
389C2×C22⋊C4C2×D411yescharacteristic
390C2×C22⋊C4C2×D411yescharacteristic
391C2×C22⋊C4C2×D411yescharacteristic
392C2×C22⋊C4C2×D411yescharacteristic
393C2×C22⋊C4C2×D411yescharacteristic
394C2×C22⋊C4C2×D411yescharacteristic
395C2×C22⋊C4C2×D411yescharacteristic
396C2×C42—22no—
397C2×C42—22no—
398C2×C42—22no—
399C2×C42—22no—
400C2×C42—22no—
401C2×C42—22no—
402C2×C42—22no—
403C2×C42—22no—
404C2×C42—44no—
405C2×C42C2×D411yescharacteristic
406C2×C42C2×D411yescharacteristic
407C2×C42C2×D411yescharacteristic
408C2×C42C2×D411yescharacteristic
409C2×C42C2411yescharacteristic
410C2×C42C2411yescharacteristic
411C2×C42C2411yescharacteristic
412C2×C42C2411yescharacteristic
413#107—44no—
414#106—44no—
415C4⋊C8—42no—
416C4⋊C8—42no—
417#103—44no—
418#103—44no—
419#102—28no—
420#102—28no—
421#102—44no—
422#102—44no—
423#102—44no—
424#102—44no—
425C22⋊C8—28no—
426C22⋊C8—24no—
427C22⋊C8—24no—
428C22⋊C8—28no—
429#97—42no—
430C4×C8—42no—
431#95—22no—
432#95—21no—
433#95—21no—
434#95—21no—
435#95—21no—
436#95—22no—
437#95—22no—
438#95—22no—
439#95—22no—
440#95—22no—
441#95—22no—
442#95—22no—
443#95—22no—
444#95—22no—
445C24—22no—
446C24—22no—
447C24—22no—
448C24—28no—
449C24—28no—
450C24—24no—
451C24—24no—
452C24—28no—
453C24—42no—
454C24—44no—
455C24—44no—
456C24—44no—
457C24—432no—
458C24—44no—
459C24—44no—
460C24—44no—
461C24—44no—
462C24—44no—
463C24—44no—
464C24—44no—
465C24—84no—
466C24—84no—
467C24—84no—
468C24—84no—
469C24—832no—
470C24—832no—
471C24—816no—
472C24—816no—
473C24C22×D411yescharacteristic
474C24C22×D411yescharacteristic
475C24C22×D411yescharacteristic
476C2×Q8—24no—
477C2×Q8—24no—
478C2×Q8—22no—
479C2×Q8—22no—
480C2×Q8—42no—
481C2×Q8—82no—
482C2×D4—28no—
483C2×D4—28no—
484C2×D4—28no—
485C2×D4—24no—
486C2×D4—24no—
487C2×D4—24no—
488C2×D4—24no—
489C2×D4—24no—
490C2×D4—48no—
491C2×D4—48no—
492C2×D4—416no—
493C2×D4—416no—
494C2×D4—416no—
495C2×D4—416no—
496C2×D4—432no—
497C2×D4—432no—
498C2×D4—432no—
499C2×D4—44no—
500C2×D4—44no—
501C2×D4—44no—
502C2×D4—44no—
503C2×D4—48no—
504C2×D4—48no—
505C2×D4—44no—
506C2×D4—44no—
507C2×D4C2×#4118yes—
508C22×C4—216no—
509C22×C4—216no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—24no—
530C22×C4—24no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—24no—
538C22×C4—42no—
539C22×C4—42no—
540C22×C4—44no—
541C22×C4—44no—
542C22×C4—44no—
543C22×C4C22×D411yescharacteristic
544C22×C4C22×D411yescharacteristic
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×C4C2×#4114yes—
555C22×C4H(5,𝔽2)12yes—
556C22×C4H(5,𝔽2)12yes—
557C22×C4H(5,𝔽2)14yes—
558C22×C4C2511yescharacteristic
559SD16—88no—
560SD16—88no—
561C2×C8—24no—
562C2×C8—24no—
563C2×C8—24no—
564C2×C8—24no—
565C2×C8—24no—
566C2×C8—24no—
567C4⋊C4—24no—
568C4⋊C4—24no—
569C4⋊C4—22no—
570C4⋊C4—22no—
571C4⋊C4—24no—
572C4⋊C4—24no—
573C4⋊C4—41no—
574C4⋊C4—41no—
575C4⋊C4—41no—
576C4⋊C4—41no—
577C4⋊C4—41no—
578C4⋊C4—41no—
579C4⋊C4—41no—
580C4⋊C4—41no—
581C4⋊C4—44no—
582C4⋊C4—42no—
583C4⋊C4—42no—
584C4⋊C4—44no—
585C4⋊C4—42no—
586C4⋊C4—44no—
587C4⋊C4—44no—
588C4⋊C4—44no—
589C4⋊C4—82no—
590C4⋊C4—82no—
591C22⋊C4—41no—
592C22⋊C4—41no—
593C22⋊C4—41no—
594C22⋊C4—41no—
595C22⋊C4—41no—
596C22⋊C4—41no—
597C22⋊C4—41no—
598C22⋊C4—41no—
599C22⋊C4—44no—
600C22⋊C4—44no—
601C22⋊C4—44no—
602C22⋊C4—44no—
603C22⋊C4—44no—
604C22⋊C4—44no—
605C22⋊C4—84no—
606C22⋊C4—84no—
607C22⋊C4—84no—
608C22⋊C4—84no—
609C22⋊C4—84no—
610C22⋊C4—84no—
611C22⋊C4—84no—
612C22⋊C4—84no—
613C22⋊C4—82no—
614C22⋊C4—82no—
615C42—22no—
616C42—22no—
617C42—22no—
618C42—22no—
619C42—21no—
620C42—21no—
621C42—21no—
622C42—21no—
623C42—21no—
624C42—21no—
625C42—21no—
626C42—21no—
627C42—44no—
628C42—44no—
629C42—44no—
630C42—82no—
631C23—22no—
632C23—21no—
633C23—21no—
634C23—28no—
635C23—22no—
636C23—22no—
637C23—21no—
638C23—21no—
639C23—21no—
640C23—21no—
641C23—22no—
642C23—22no—
643C23—28no—
644C23—48no—
645C23—48no—
646C23—44no—
647C23—416no—
648C23—416no—
649C23—416no—
650C23—416no—
651C23—416no—
652C23—44no—
653C23—44no—
654C23—44no—
655C23—44no—
656C23—44no—
657C23—44no—
658C23—44no—
659C23—816no—
660C23—88no—
661C23—88no—
662C23—88no—
663C23—816no—
664C23—816no—
665C23—8128no—
666C23—88no—
667C23—88no—
668C23—88no—
669C23—88no—
670C23—816no—
671C23—88no—
672C23#52512yes—
673C23#53412yes—
674C23#53512yes—
675C23#57714yes—
676C23C23×D411yescharacteristic
677Q8—44no—
678Q8—44no—
679Q8—84no—
680D4—28no—
681D4—28no—
682D4—416no—
683D4—416no—
684D4—416no—
685D4—44no—
686D4—44no—
687C2×C4—28no—
688C2×C4—28no—
689C2×C4—28no—
690C2×C4—21no—
691C2×C4—21no—
692C2×C4—21no—
693C2×C4—21no—
694C2×C4—21no—
695C2×C4—21no—
696C2×C4—24no—
697C2×C4—24no—
698C2×C4—24no—
699C2×C4—24no—
700C2×C4—24no—
701C2×C4—24no—
702C2×C4—22no—
703C2×C4—22no—
704C2×C4—22no—
705C2×C4—22no—
706C2×C4—21no—
707C2×C4—21no—
708C2×C4—21no—
709C2×C4—21no—
710C2×C4—21no—
711C2×C4—21no—
712C2×C4—21no—
713C2×C4—21no—
714C2×C4—22no—
715C2×C4—22no—
716C2×C4—22no—
717C2×C4—22no—
718C2×C4—44no—
719C2×C4—44no—
720C2×C4—42no—
721C2×C4—42no—
722C2×C4—44no—
723C2×C4—42no—
724C2×C4—42no—
725C2×C4—42no—
726C2×C4—42no—
727C2×C4—42no—
728C2×C4—42no—
729C2×C4—44no—
730C2×C4—42no—
731C2×C4—42no—
732C2×C4—42no—
733C2×C4—42no—
734C2×C4—44no—
735C2×C4—82no—
736C2×C4—82no—
737C2×C4—88no—
738C2×C4#52512yes—
739C2×C4#53412yes—
740C2×C4#53512yes—
741C2×C4C22×#4112yes—
742C2×C4C2×H(5,𝔽2)11yescharacteristic
743C2×C4C2×H(5,𝔽2)11yescharacteristic
744C2×C4C2×H(5,𝔽2)12yes—
745C8—44no—
746C8—44no—
747C22—22no—
748C22—24no—
749C22—24no—
750C22—22no—
751C22—24no—
752C22—24no—
753C22—22no—
754C22—22no—
755C22—416no—
756C22—41no—
757C22—41no—
758C22—41no—
759C22—41no—
760C22—42no—
761C22—42no—
762C22—48no—
763C22—48no—
764C22—48no—
765C22—832no—
766C22—832no—
767C22—832no—
768C22—84no—
769C22—84no—
770C22—84no—
771C22—84no—
772C22#320014yes—
773C22C2×#52511yescharacteristic
774C22C2×#53411yescharacteristic
775C22C2×#53511yescharacteristic
776C22C2×#57712yes—
777C22#358512yes—
778C4—22no—
779C4—22no—
780C4—22no—
781C4—41no—
782C4—41no—
783C4—41no—
784C4—41no—
785C4—41no—
786C4—41no—
787C4—41no—
788C4—41no—
789C4—82no—
790C4—82no—
791C4—84no—
792C4—82no—
793C4—82no—
794C4#349012yes—
795C4#349012yes—
796C2—24no—
797C2—42no—
798C2—42no—
799C2—88no—
800C2#3505011yescharacteristic
801C2#6057912yes—
802C2C2×#320011yescharacteristic
803C2#6075311yescharacteristic
804C2#6081212yes—
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC24×D4C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C22×#117 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #35325C2semidirect
3. #32985C2semidirect
5. #29959C2semidirect
6. #29723C2semidirect
7. #29116C2semidirect
8. #28320C2semidirect
9. #28130C2semidirect
10. #27588C2semidirect
11. #24507C2semidirect
12. #24501C2semidirect
13. #23933C2semidirect
14. #22052C2semidirect
15. #20717C2semidirect
17. C2×#533C22semidirect
20. C2×#485C22semidirect
25. C2×#432C22semidirect
26. C2×#431C22semidirect
27. #2855C22semidirect
29. #2628C22semidirect
30. #2628C22semidirect
31. #2621C22semidirect
32. #2621C22semidirect
41. #2323C22semidirect
42. #2323C22semidirect
55. #2283C22semidirect
58. #2092C22semidirect
59. #2073C22semidirect
60. #2067C22semidirect
61. #2065C22semidirect
62. #2055C22semidirect
63. #2055C22semidirect
64. #2023C22semidirect
65. #2013C22semidirect
66. #1973C22semidirect
67. #1968C22semidirect
68. #1936C22semidirect
69. #1934C22semidirect
70. #1926C22semidirect
71. #1925C22semidirect
72. #1880C22semidirect
73. #1880C22semidirect
74. #1873C22semidirect
75. #1872C22semidirect
76. #1872C22semidirect
77. #1854C22semidirect
78. #1853C22semidirect
79. #1852C22semidirect
80. #1825C22semidirect
81. #1817C22semidirect
82. #1798C22semidirect
83. #1798C22semidirect
89. #1750C22semidirect
90. #1750C22semidirect
107. C2×C4⋊Q8C23semidirect
108. C2×C4⋊Q8C23semidirect
115. C2×C4×Q8C23semidirect
152. C2×#107C23semidirect
153. C2×#106C23semidirect
154. C2×C4⋊C8C23semidirect
155. C2×C4⋊C8C23semidirect
156. C2×#103C23semidirect
157. C2×#103C23semidirect
168. C2×#97C23semidirect
169. C2×C4×C8C23semidirect
186. #391C23semidirect
187. #391C23semidirect
206. #389C23semidirect
207. #389C23semidirect
221. #382C23semidirect
222. #382C23semidirect
237. C4×C4⋊C4C23semidirect
240. #340C23semidirect
241. #340C23semidirect
242. #340C23semidirect
243. #340C23semidirect
244. #336C23semidirect
245. #336C23semidirect

Maximal subgroups

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

subgroupindex
#353252
C2×#23092
#329852
#328812
#299592
#297232
#291162
#283202
#281302
#275882
#245072
#245012
#239332
#220522
#207172