Finite Group Databasebeta

← #6488749

Subgroups — #6488749

Order 512.

2044 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#36631C211yesmaximal, characteristic, complemented
2C2×C4×#124C211yesmaximal, characteristic, complemented
3#33004C212yesmaximal, complemented
4#33003C212yesmaximal, complemented
5#30133C214yesmaximal, complemented
6#29373C214yesmaximal, complemented
7#29198C212yesmaximal, complemented
8#28621C212yesmaximal, complemented
9#28115C212yesmaximal, complemented
10#28114C212yesmaximal, complemented
11#27969C211yesmaximal, characteristic, complemented
12#27918C211yesmaximal, characteristic, complemented
13#25864C211yesmaximal, characteristic, complemented
14#25731C211yesmaximal, characteristic
15#22272C212yesmaximal, complemented
16#22224C212yesmaximal, complemented
17#20778C211yesmaximal, characteristic, complemented
18C2×#529—21no—
19C22×#124C2211yescharacteristic
20C22×C4×Q8C2211yescharacteristic
21C22×C4×D4C2211yescharacteristic
22C2×#496C2212yes—
23C2×#489C2212yes—
24C2×#481C2212yes—
25C2×#480C2212yes—
26C2×#448C2212yes—
27C2×#447C2212yes—
28#2861—21no—
29#2860—21no—
30#2860C2212yescomplemented
31#2859C2211yescharacteristic, complemented
32#2858C2211yescharacteristic, complemented
33#2857C2211yescharacteristic
34#2856C2211yescharacteristic
35#2854—21no—
36#2854C2212yes—
37#2850—21no—
38C4×C4⋊Q8C2211yescharacteristic, complemented
39C4×#127C2211yescharacteristic, complemented
40C4×#124—21no—
41C4×#124—21no—
42C4×#124—21no—
43C4×#124—21no—
44C4×#124—21no—
45C4×#124C2212yes—
46C4×#124C2212yes—
47C4×#124C2212yes—
48C4×#124C2212yes—
49C4×#121—21no—
50C4×#121C2212yes—
51C2×#391C2211yescharacteristic
52#2293—21no—
53#2293C2212yescomplemented
54C2×#390C2211yescharacteristic
55C2×#388—21no—
56C2×#388—21no—
57C2×#382C2211yescharacteristic
58C2×C4×C22⋊C4—21no—
59C2×C4×C22⋊C4—21no—
60C2×C43C2211yescharacteristic
61#2101C2214yescomplemented
62#2092C2214yescomplemented
63#2067C2214yes—
64#2066C2214yescomplemented
65#2055C2214yescomplemented
66#2054C2214yes—
67#2042C2214yes—
68#2012C2214yes—
69#1993C2212yescomplemented
70#1961C2212yescomplemented
71#1959C2212yes—
72#1959C2212yes—
73#1927C2214yescomplemented
74#1925C2214yes—
75#1880C2214yescomplemented
76#1880C2214yescomplemented
77#1879C2214yes—
78#1879C2214yes—
79#1879C2214yes—
80#1877C2214yescomplemented
81#1864C2214yes—
82#1864C2214yes—
83#1863C2214yescomplemented
84#1863C2214yescomplemented
85#1847C2212yescomplemented
86#1839C2212yescomplemented
87#1836C2212yescomplemented
88#1831C2212yescomplemented
89#1824C2212yes—
90#1823C2212yes—
91#1817C2212yes—
92#1797C2212yes—
93#1787C2212yes—
94#1786C2212yes—
95#1767C2212yescomplemented
96#1749C2211yescharacteristic
97#1749C2211yescharacteristic
98#1745C2212yescomplemented
99C23×Q8C2311yescharacteristic
100C23×D4C2311yescharacteristic
101C24×C4—21no—
102C22×SD16C2314yes—
103C22×D8C2314yes—
104C2×C4⋊Q8C2311yescharacteristic
105C2×#127C2311yescharacteristic
106#529—48no—
107C2×#126—22no—
108C2×#125—21no—
109C2×#124—28no—
110C2×#124—21no—
111C2×#124—21no—
112C2×#124—21no—
113C2×#124—21no—
114C2×#124C2312yes—
115C2×#124C2312yes—
116C2×#123—22no—
117C2×C22⋊Q8—21no—
118C2×#121—21no—
119C2×#121—21no—
120C2×#121C2312yes—
121C2×C4×Q8—21no—
122C2×C4×Q8—21no—
123C2×C4×Q8—21no—
124C2×C4×Q8—44no—
125C2×C4×Q8C2312yes—
126C2×C4×Q8C2312yes—
127C2×C4×D4—22no—
128C2×C4×D4—21no—
129C2×C4×D4—21no—
130C2×C4×D4—21no—
131C2×C4×D4—21no—
132C2×C4×D4—44no—
133C2×C4×D4C2312yes—
134C2×C4×D4C2312yes—
135C2×C4×D4C2312yes—
136C2×#117—22no—
137C22×C4⋊C4—21no—
138C22×C4⋊C4C2311yescharacteristic
139C22×C4⋊C4C2311yescharacteristic
140C22×C22⋊C4—21no—
141C22×C22⋊C4—21no—
142C22×C22⋊C4—21no—
143C22×C22⋊C4—21no—
144C22×C22⋊C4—21no—
145C22×C42—21no—
146C22×C42D411yescharacteristic
147C22×C42D411yescharacteristic
148C22×C42D411yescharacteristic
149C22×C42D411yescharacteristic
150C22×C42C2311yescharacteristic
151C22×C42C2311yescharacteristic
152C22×C42C2311yescharacteristic
153#496—28no—
154#489—28no—
155#481—44no—
156#480—44no—
157#448—44no—
158#447—44no—
159C2×#107C2314yes—
160C2×#106C2314yes—
161C2×C4⋊C8C2314yes—
162C2×#103C2314yes—
163C2×#103C2314yes—
164C2×#103C2314yes—
165C2×#102C2314yes—
166C2×#102C2314yes—
167C2×#102C2314yes—
168C2×#102C2314yes—
169C2×#102C2314yes—
170C2×C22⋊C8C2312yes—
171C2×C22⋊C8C2312yes—
172C2×#97C2312yes—
173C2×#97C2312yes—
174#391—21no—
175#391—21no—
176#391—21no—
177#391—21no—
178#391C2312yes—
179#391C2312yes—
180#390—21no—
181#390—21no—
182#390—21no—
183#390—21no—
184#390—21no—
185#390—21no—
186#390—21no—
187#390—21no—
188#390C2312yes—
189#390C2312yes—
190#390C2312yes—
191#390C2312yes—
192#390C2312yes—
193#390C2312yes—
194#389—21no—
195#389—21no—
196#389—21no—
197#389—21no—
198#389C2312yes—
199#389C2312yes—
200#389C2312yes—
201#389C2312yes—
202#388—22no—
203#388—22no—
204#388—22no—
205#388—22no—
206#388—22no—
207#388—22no—
208#388—22no—
209#388—22no—
210#388—22no—
211#388—22no—
212#388—22no—
213#388—22no—
214#388—22no—
215#388—22no—
216#388—22no—
217#388—22no—
218#386—22no—
219#386—22no—
220#384C2311yescharacteristic
221#384C2311yescharacteristic
222#382—21no—
223#382—21no—
224#382—21no—
225#382C2312yes—
226#382C2312yes—
227#380—21no—
228#380C2312yes—
229C4×C4⋊C4—21no—
230C4×C4⋊C4C2312yes—
231C4×C22⋊C4—22no—
232C4×C22⋊C4—22no—
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—
241C2×#95—21no—
242C2×#95—21no—
243C2×#95—21no—
244C2×#95—21no—
245C43D411yescharacteristic
246C43D411yescharacteristic
247C43D411yescharacteristic
248C43D411yescharacteristic
249C43C2311yescharacteristic
250C43C2311yescharacteristic
251C43C2311yescharacteristic
252C43C2311yescharacteristic
253#340C2314yes—
254#340C2314yes—
255#340C2314yes—
256#340C2314yes—
257#336C2314yes—
258#336C2314yes—
259#336C2314yes—
260#336C2312yes—
261#336C2312yes—
262C25—21no—
263C22×Q8—24no—
264C22×Q8—21no—
265C22×Q8—21no—
266C22×Q8—24no—
267C22×Q8—42no—
268C22×Q8C2412yes—
269C22×D4—24no—
270C22×D4—22no—
271C22×D4—21no—
272C22×D4—21no—
273C22×D4—21no—
274C22×D4—24no—
275C22×D4—42no—
276C22×D4C2412yes—
277C22×D4C2412yes—
278C23×C4—21no—
279C23×C4—21no—
280C23×C4—21no—
281C23×C4—22no—
282C23×C4—22no—
283C23×C4—22no—
284C23×C4—44no—
285C23×C4—44no—
286C23×C4—44no—
287C23×C4C2×D411yescharacteristic
288C23×C4C2×D411yescharacteristic
289C23×C4C2×D411yescharacteristic
290C23×C4C2×D411yescharacteristic
291C23×C4C2×D411yescharacteristic
292C23×C4C2×D411yescharacteristic
293C23×C4C2411yescharacteristic
294C2×SD16—28no—
295C2×SD16—44no—
296C2×SD16—44no—
297C2×D8—28no—
298C2×D8—44no—
299C2×D8—44no—
300C22×C8C2414yes—
301C22×C8C2414yes—
302C4⋊Q8—24no—
303#127—24no—
304#126—48no—
305#125—44no—
306#124—28no—
307#124—28no—
308#124—24no—
309#124—24no—
310#124—24no—
311#124—44no—
312#124—44no—
313#124#4118yes—
314#123—48no—
315C22⋊Q8—44no—
316#121—24no—
317#121—24no—
318#121—44no—
319#121—44no—
320C4×Q8—44no—
321C4×Q8—44no—
322C4×Q8—44no—
323C4×Q8—44no—
324C4×Q8—44no—
325C4×D4—44no—
326C4×D4—44no—
327C4×D4—44no—
328C4×D4—44no—
329C4×D4—44no—
330C4×D4—44no—
331C4×D4—44no—
332C4×D4—48no—
333#117—48no—
334C2×C4⋊C4—24no—
335C2×C4⋊C4—24no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—22no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—22no—
341C2×C4⋊C4—22no—
342C2×C4⋊C4—21no—
343C2×C4⋊C4—22no—
344C2×C4⋊C4—21no—
345C2×C4⋊C4—21no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—44no—
350C2×C4⋊C4C2412yes—
351C2×C4⋊C4C2412yes—
352C2×C4⋊C4C2412yes—
353C2×C4⋊C4C2412yes—
354C2×C4⋊C4C2412yes—
355C2×C22⋊C4—28no—
356C2×C22⋊C4—28no—
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×C22⋊C4—22no—
369C2×C22⋊C4—22no—
370C2×C22⋊C4—22no—
371C2×C22⋊C4—22no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—22no—
374C2×C22⋊C4—22no—
375C2×C22⋊C4—22no—
376C2×C22⋊C4—22no—
377C2×C22⋊C4—22no—
378C2×C22⋊C4—44no—
379C2×C22⋊C4—44no—
380C2×C22⋊C4—44no—
381C2×C42—24no—
382C2×C42—24no—
383C2×C42—24no—
384C2×C42—22no—
385C2×C42—22no—
386C2×C42—22no—
387C2×C42—42no—
388C2×C42—42no—
389C2×C42—42no—
390C2×C42—42no—
391C2×C42—44no—
392C2×C42C2×D411yescharacteristic
393C2×C42C2×D411yescharacteristic
394C2×C42C2×D411yescharacteristic
395C2×C42C2×D411yescharacteristic
396C2×C42C2×D411yescharacteristic
397C2×C42C2×D411yescharacteristic
398C2×C42C2×D411yescharacteristic
399C2×C42C2×D411yescharacteristic
400C2×C42C2×D411yescharacteristic
401C2×C42C2×D411yescharacteristic
402C2×C42C2×D411yescharacteristic
403C2×C42C2×D411yescharacteristic
404C2×C42C2×D411yescharacteristic
405C2×C42C2×D411yescharacteristic
406C2×C42C2×D411yescharacteristic
407C2×C42C2×D411yescharacteristic
408C2×C42C2×D411yescharacteristic
409C2×C42C2×D411yescharacteristic
410C2×C42C2×D411yescharacteristic
411C2×C42C2×D411yescharacteristic
412C2×C42C2×D411yescharacteristic
413C2×C42C2×D411yescharacteristic
414C2×C42C2411yescharacteristic
415C2×C42C2411yescharacteristic
416C2×C42C2411yescharacteristic
417C2×C42C2411yescharacteristic
418C2×C42C2411yescharacteristic
419C2×C42C2411yescharacteristic
420#107—44no—
421#106—44no—
422C4⋊C8—44no—
423#103—28no—
424#103—44no—
425#103—44no—
426#102—28no—
427#102—44no—
428#102—44no—
429#102—44no—
430#102—44no—
431C22⋊C8—24no—
432C22⋊C8—24no—
433#97—24no—
434#97—24no—
435#95—22no—
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—
445#95—22no—
446#95—22no—
447#95—22no—
448#95—22no—
449C24—24no—
450C24—22no—
451C24—22no—
452C24—42no—
453C24—42no—
454C24—42no—
455C24—42no—
456C24—42no—
457C24—42no—
458C24C22×D411yescharacteristic
459C2×Q8—24no—
460C2×Q8—22no—
461C2×Q8—24no—
462C2×Q8—24no—
463C2×Q8—416no—
464C2×Q8—42no—
465C2×Q8—42no—
466C2×Q8—42no—
467C2×Q8—42no—
468C2×Q8—42no—
469C2×Q8C2×#4114yes—
470C2×D4—24no—
471C2×D4—22no—
472C2×D4—24no—
473C2×D4—24no—
474C2×D4—22no—
475C2×D4—22no—
476C2×D4—24no—
477C2×D4—24no—
478C2×D4—416no—
479C2×D4—42no—
480C2×D4—42no—
481C2×D4—42no—
482C2×D4—42no—
483C2×D4—42no—
484C2×D4—44no—
485C2×D4—44no—
486C2×D4—44no—
487C2×D4—42no—
488C2×D4—42no—
489C2×D4—42no—
490C2×D4C2×#4114yes—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—24no—
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—41no—
512C22×C4—41no—
513C22×C4—41no—
514C22×C4—41no—
515C22×C4—41no—
516C22×C4—41no—
517C22×C4—44no—
518C22×C4—44no—
519C22×C4—44no—
520C22×C4—44no—
521C22×C4—44no—
522C22×C4—44no—
523C22×C4—42no—
524C22×C4—42no—
525C22×C4—42no—
526C22×C4—42no—
527C22×C4—42no—
528C22×C4—42no—
529C22×C4—42no—
530C22×C4—42no—
531C22×C4—44no—
532C22×C4—44no—
533C22×C4—44no—
534C22×C4—816no—
535C22×C4AGL(1,ℤ/8)14yes—
536C22×C4C22×D411yescharacteristic
537C22×C4C22×D411yescharacteristic
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×C4H(5,𝔽2)14yes—
550C22×C4C2511yescharacteristic
551SD16—88no—
552D8—88no—
553C2×C8—24no—
554C2×C8—24no—
555C2×C8—24no—
556C2×C8—24no—
557C2×C8—24no—
558C2×C8—24no—
559C4⋊C4—24no—
560C4⋊C4—22no—
561C4⋊C4—24no—
562C4⋊C4—24no—
563C4⋊C4—22no—
564C4⋊C4—24no—
565C4⋊C4—44no—
566C4⋊C4—44no—
567C4⋊C4—44no—
568C4⋊C4—44no—
569C4⋊C4—42no—
570C4⋊C4—42no—
571C4⋊C4—42no—
572C4⋊C4—44no—
573C4⋊C4—42no—
574C4⋊C4—42no—
575C4⋊C4—42no—
576C4⋊C4—42no—
577C4⋊C4—44no—
578C22⋊C4—28no—
579C22⋊C4—28no—
580C22⋊C4—28no—
581C22⋊C4—28no—
582C22⋊C4—44no—
583C22⋊C4—44no—
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—
599C42—22no—
600C42—22no—
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—22no—
614C42—22no—
615C42—22no—
616C42—41no—
617C42—41no—
618C42—41no—
619C42—41no—
620C42—41no—
621C42—41no—
622C42—41no—
623C42—41no—
624C42—41no—
625C42—41no—
626C42—44no—
627C42—44no—
628C42—44no—
629C42C2×#4114yes—
630C23—21no—
631C23—21no—
632C23—21no—
633C23—21no—
634C23—24no—
635C23—48no—
636C23—48no—
637C23—48no—
638C23—42no—
639C23—42no—
640C23—42no—
641C23—42no—
642C23—42no—
643C23—42no—
644C23—42no—
645C23—42no—
646C23—42no—
647C23—42no—
648C23—42no—
649C23—42no—
650C23—42no—
651C23—84no—
652C23—84no—
653C23—84no—
654C23—84no—
655C23#53512yes—
656C23C2×AGL(1,ℤ/8)12yes—
657C23#57512yes—
658C23C23×D411yescharacteristic
659Q8—28no—
660Q8—48no—
661Q8—44no—
662Q8—84no—
663D4—28no—
664D4—48no—
665D4—44no—
666D4—44no—
667D4—44no—
668D4—84no—
669D4—84no—
670D4—88no—
671C2×C4—28no—
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—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—28no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—24no—
690C2×C4—21no—
691C2×C4—21no—
692C2×C4—21no—
693C2×C4—21no—
694C2×C4—21no—
695C2×C4—21no—
696C2×C4—21no—
697C2×C4—21no—
698C2×C4—21no—
699C2×C4—21no—
700C2×C4—21no—
701C2×C4—21no—
702C2×C4—21no—
703C2×C4—21no—
704C2×C4—21no—
705C2×C4—21no—
706C2×C4—44no—
707C2×C4—44no—
708C2×C4—44no—
709C2×C4—44no—
710C2×C4—48no—
711C2×C4—42no—
712C2×C4—42no—
713C2×C4—44no—
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—88no—
730C2×C4—88no—
731C2×C4—88no—
732C2×C4—84no—
733C2×C4—84no—
734C2×C4#52512yes—
735C2×C4#52512yes—
736C2×C4#53512yes—
737C2×C4C2×AGL(1,ℤ/8)12yes—
738C2×C4C2×AGL(1,ℤ/8)12yes—
739C2×C4#57512yes—
740C2×C4#57512yes—
741C2×C4C22×#4112yes—
742C2×C4C2×H(5,𝔽2)12yes—
743C2×C4#58512yes—
744C8—44no—
745C8—44no—
746C22—22no—
747C22—22no—
748C22—22no—
749C22—22no—
750C22—22no—
751C22—22no—
752C22—44no—
753C22—44no—
754C22—44no—
755C22—816no—
756C22—82no—
757C22—82no—
758C22—82no—
759C22—82no—
760C22—82no—
761C22—82no—
762C22—82no—
763C22—82no—
764C22—82no—
765C22—82no—
766C22—82no—
767C22#321414yes—
768C22C2×#52511yescharacteristic
769C22C2×#53511yescharacteristic
770C22#344911yescharacteristic
771C22C22×AGL(1,ℤ/8)11yescharacteristic
772C22C2×#57511yescharacteristic
773C22C2×#57511yescharacteristic
774C22C2×#57511yescharacteristic
775C4—22no—
776C4—22no—
777C4—22no—
778C4—22no—
779C4—22no—
780C4—22no—
781C4—22no—
782C4—41no—
783C4—41no—
784C4—41no—
785C4—41no—
786C4—41no—
787C4—41no—
788C4—44no—
789C4—82no—
790C4—82no—
791C4—82no—
792C4—82no—
793C4—82no—
794C4#351314yes—
795C2—24no—
796C2—84no—
797C2—162no—
798C2#3523311yescharacteristic
799C2#6056111yescharacteristic
800C2#6056311yescharacteristic
801C2C2×#321411yescharacteristic
802C2#6079911yescharacteristic
803C2#6095411yescharacteristic
804C2#6095811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#25731C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C43 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36631C2semidirect
2. C2×C4×#124C2semidirect
3. #33004C2semidirect
4. #33003C2semidirect
5. #30133C2semidirect
6. #29373C2semidirect
7. #29198C2semidirect
8. #28621C2semidirect
9. #28115C2semidirect
10. #28114C2semidirect
11. #27969C2semidirect
12. #27918C2semidirect
13. #25864C2semidirect
15. #22272C2semidirect
16. #22224C2semidirect
17. #20778C2semidirect
30. #2860C22semidirect
31. #2859C22semidirect
32. #2858C22semidirect
38. C4×C4⋊Q8C22semidirect
39. C4×#127C22semidirect
53. #2293C22semidirect
61. #2101C22semidirect
62. #2092C22semidirect
64. #2066C22semidirect
65. #2055C22semidirect
69. #1993C22semidirect
70. #1961C22semidirect
73. #1927C22semidirect
75. #1880C22semidirect
76. #1880C22semidirect
80. #1877C22semidirect
83. #1863C22semidirect
84. #1863C22semidirect
85. #1847C22semidirect
86. #1839C22semidirect
87. #1836C22semidirect
88. #1831C22semidirect
95. #1767C22semidirect
98. #1745C22semidirect

Maximal subgroups

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

subgroupindex
#366312
C2×C4×#1242
#330042
#330032
#301332
#293732
#291982
#286212
#281152
#281142
#279692
#279182
#258642
#257312
#222722
#222242
#207782