Finite Group Databasebeta

← #6502111

Subgroups — #6502111

Order 512.

2308 conjugacy classes of subgroups.

The subgroup lattice has 803 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2426C211yesmaximal, characteristic, complemented
2#34205C211yesmaximal, characteristic, complemented
3#29238C212yesmaximal, complemented
4#27408C214yesmaximal, complemented
5#26944C214yesmaximal, complemented
6#26640C214yesmaximal, complemented
7#25164C214yesmaximal, complemented
8#24215C212yesmaximal, complemented
9#24003C211yesmaximal, characteristic, complemented
10#24002C211yesmaximal, characteristic, complemented
11#23919C211yesmaximal, characteristic, complemented
12#23918C211yesmaximal, characteristic
13#22046C212yesmaximal, complemented
14#21906C211yesmaximal, characteristic, complemented
15#21454C212yesmaximal, complemented
16C22×#124C2211yescharacteristic, complemented
17C22×C22⋊Q8C2211yescharacteristic
18C22×#121C2211yescharacteristic
19C22×#121C2211yescharacteristic
20C2×#518—21no—
21C22×C4×Q8C2211yescharacteristic, complemented
22C2×#483C2212yescomplemented
23C2×#480C2212yescomplemented
24C2×#463C2214yescomplemented
25C2×#448C2212yes—
26C2×#450C2212yescomplemented
27C2×#447C2212yes—
28C2×#447C2212yes—
29C2×#440C2214yescomplemented
30#2426—22no—
31#2426—22no—
32#2426C2214yes—
33#2426C2214yescomplemented
34C2×#396—21no—
35C2×#394—21no—
36#2364—22no—
37#2361C2212yescomplemented
38#2361C2212yescomplemented
39#2344C2212yescomplemented
40#2342—22no—
41D4×C22⋊C4C2212yescomplemented
42#2325—21no—
43#2325—21no—
44#2308—21no—
45C4×#121C2212yes—
46C4×#121C2212yes—
47C2×#390—21no—
48C2×#390C2211yescharacteristic, complemented
49C2×#389C2211yescharacteristic, complemented
50C2×#388—21no—
51C2×#380C2211yescharacteristic
52C2×C4×C22⋊C4C2211yescharacteristic
53#2088C2214yescomplemented
54#2067C2214yescomplemented
55#2042C2214yescomplemented
56#2035C2214yescomplemented
57#2033C2214yes—
58#2012C2214yescomplemented
59#2000C2214yescomplemented
60#1999C2214yes—
61#1983C2214yescomplemented
62#1972C2214yescomplemented
63#1936C2214yescomplemented
64#1926C2214yescomplemented
65#1924C2214yescomplemented
66#1924C2214yescomplemented
67#1921C2214yescomplemented
68#1880C2214yescomplemented
69#1879C2214yescomplemented
70#1874C2212yes—
71#1874C2212yes—
72#1874C2212yes—
73#1874C2212yescomplemented
74#1872C2212yescomplemented
75#1872C2212yescomplemented
76#1864C2214yescomplemented
77#1863C2214yescomplemented
78#1853C2212yescomplemented
79#1852C2212yescomplemented
80#1797C2212yescomplemented
81#1787C2212yescomplemented
82#1786C2212yescomplemented
83#1779C2211yescharacteristic
84#1779C2211yescharacteristic
85#1763C2214yescomplemented
86#1749C2212yescomplemented
87C23×Q8C2311yescharacteristic
88C23×D4—21no—
89C23×D4—21no—
90C23×D4C2311yescharacteristic
91C23×D4C2311yescharacteristic
92C24×C4C2311yescharacteristic
93C22×SD16C2314yes—
94C22×D8C2314yes—
95C2×#124—22no—
96C2×#124—44no—
97C2×#124C2314yes—
98C2×C22⋊Q8—21no—
99C2×C22⋊Q8—21no—
100C2×C22⋊Q8—44no—
101C2×C22⋊Q8C2312yes—
102C2×C22⋊Q8C2312yes—
103C2×#121—21no—
104C2×#121—21no—
105C2×#121—28no—
106C2×#121—21no—
107C2×#121—21no—
108C2×#121—44no—
109C2×#121C2312yes—
110C2×#121C2312yes—
111C2×#121C2312yes—
112C2×#121C2312yes—
113#518—48no—
114C2×C4×Q8—22no—
115C2×C4×Q8—44no—
116C2×C4×Q8C2314yes—
117C2×C4×D4—22no—
118C2×C4×D4—22no—
119C2×C4×D4—22no—
120C2×C4×D4—22no—
121C2×C4×D4C2312yes—
122C2×C4×D4C2312yes—
123C2×#117—22no—
124C22×C4⋊C4—21no—
125C22×C4⋊C4—21no—
126C22×C4⋊C4—21no—
127C22×C4⋊C4C2311yescharacteristic
128C22×C4⋊C4C2311yescharacteristic
129C22×C4⋊C4C2311yescharacteristic
130C22×C4⋊C4C2311yescharacteristic
131C22×C4⋊C4C2311yescharacteristic
132C22×C22⋊C4—21no—
133C22×C22⋊C4—21no—
134C22×C22⋊C4—21no—
135C22×C22⋊C4—21no—
136C22×C22⋊C4—21no—
137C22×C22⋊C4—21no—
138C22×C22⋊C4—21no—
139C22×C22⋊C4—21no—
140C22×C22⋊C4—22no—
141C22×C22⋊C4D411yescharacteristic
142C22×C22⋊C4D411yescharacteristic
143C22×C42—21no—
144C22×C42C2311yescharacteristic
145C22×C42C2311yescharacteristic
146#483—44no—
147#480—44no—
148#463—48no—
149#450—44no—
150#448—28no—
151#447—28no—
152#447—44no—
153#440—48no—
154C2×#107C2314yes—
155C2×#106C2314yes—
156C2×C4⋊C8C2314yes—
157C2×#103C2314yes—
158C2×#103C2314yes—
159C2×#103C2314yes—
160C2×#102C2314yes—
161C2×#102C2314yes—
162C2×#102C2314yes—
163C2×#102C2314yes—
164C2×#102C2314yes—
165C2×C22⋊C8C2312yes—
166C2×C22⋊C8C2312yes—
167C2×C22⋊C8C2312yes—
168C2×C22⋊C8C2312yes—
169C2×C22⋊C8C2312yes—
170C2×C22⋊C8C2312yes—
171C2×#97C2314yes—
172#396—24no—
173#396—24no—
174#394—24no—
175#394—24no—
176#390—24no—
177#390—24no—
178#390—22no—
179#390C2312yes—
180#390C2312yes—
181#390C2314yes—
182#389—22no—
183#389C2314yes—
184#389C2312yes—
185#389C2312yes—
186#388—22no—
187#388—22no—
188#388—22no—
189#388—22no—
190#388—24no—
191#388—24no—
192#387—22no—
193#387—22no—
194#386—22no—
195#386—22no—
196#386—22no—
197#386—22no—
198#386—22no—
199#386—22no—
200#385—22no—
201#385—22no—
202#381—22no—
203#380—21no—
204#380—21no—
205#380C2312yes—
206#380C2312yes—
207#379—22no—
208C4×C4⋊C4C2312yes—
209C4×C4⋊C4C2312yes—
210C4×C22⋊C4—22no—
211C4×C22⋊C4—22no—
212C4×C22⋊C4D412yes—
213C4×C22⋊C4D412yes—
214C4×C22⋊C4C2312yes—
215C4×C22⋊C4C2312yes—
216C2×#95—21no—
217C2×#95—21no—
218C2×#95D411yescharacteristic
219C2×#95D411yescharacteristic
220#340C2314yes—
221#340C2314yes—
222#340C2314yes—
223#340C2314yes—
224#336C2314yes—
225#336C2314yes—
226C25—21no—
227C25—21no—
228C25C2×D411yescharacteristic
229C22×Q8—24no—
230C22×Q8—21no—
231C22×Q8—24no—
232C22×Q8—42no—
233C22×Q8C2412yes—
234C22×D4—28no—
235C22×D4—22no—
236C22×D4—22no—
237C22×D4—24no—
238C22×D4—22no—
239C22×D4—22no—
240C22×D4—21no—
241C22×D4—21no—
242C22×D4—24no—
243C22×D4—42no—
244C22×D4—42no—
245C22×D4—42no—
246C22×D4—42no—
247C22×D4—44no—
248C22×D4—44no—
249C22×D4—44no—
250C22×D4—44no—
251C22×D4—82no—
252C22×D4C2412yes—
253C22×D4C2412yes—
254C23×C4—21no—
255C23×C4—21no—
256C23×C4—21no—
257C23×C4—24no—
258C23×C4—21no—
259C23×C4—21no—
260C23×C4—21no—
261C23×C4—22no—
262C23×C4—22no—
263C23×C4—42no—
264C23×C4—42no—
265C23×C4C2×D411yescharacteristic
266C23×C4C2×D411yescharacteristic
267C23×C4C2×D411yescharacteristic
268C23×C4C2×D411yescharacteristic
269C23×C4C2×D411yescharacteristic
270C23×C4C2×D411yescharacteristic
271C23×C4C2×D411yescharacteristic
272C23×C4C2411yescharacteristic
273C23×C4C2411yescharacteristic
274C23×C4C2411yescharacteristic
275C2×SD16—28no—
276C2×SD16—28no—
277C2×SD16—44no—
278C2×D8—28no—
279C2×D8—44no—
280C2×D8—44no—
281C22×C8C2414yes—
282C22×C8C2414yes—
283#124—28no—
284#124—44no—
285#124—48no—
286C22⋊Q8—24no—
287C22⋊Q8—24no—
288C22⋊Q8—42no—
289C22⋊Q8—42no—
290C22⋊Q8—44no—
291C22⋊Q8—44no—
292#121—28no—
293#121—28no—
294#121—24no—
295#121—24no—
296#121—24no—
297#121—24no—
298#121—24no—
299#121—42no—
300#121—42no—
301#121—44no—
302#121—44no—
303#121#4118yes—
304C4×Q8—28no—
305C4×Q8—44no—
306C4×Q8—48no—
307C4×D4—44no—
308C4×D4—44no—
309C4×D4—48no—
310C4×D4—48no—
311C4×D4—48no—
312C4×D4—48no—
313#117—48no—
314C2×C4⋊C4—21no—
315C2×C4⋊C4—21no—
316C2×C4⋊C4—24no—
317C2×C4⋊C4—24no—
318C2×C4⋊C4—24no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—21no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—22no—
324C2×C4⋊C4—24no—
325C2×C4⋊C4—21no—
326C2×C4⋊C4—21no—
327C2×C4⋊C4—42no—
328C2×C4⋊C4—42no—
329C2×C4⋊C4—42no—
330C2×C4⋊C4—44no—
331C2×C4⋊C4—44no—
332C2×C4⋊C4—82no—
333C2×C4⋊C4C2412yes—
334C2×C4⋊C4C2412yes—
335C2×C4⋊C4C2412yes—
336C2×C4⋊C4C2412yes—
337C2×C4⋊C4C2412yes—
338C2×C22⋊C4—28no—
339C2×C22⋊C4—24no—
340C2×C22⋊C4—22no—
341C2×C22⋊C4—22no—
342C2×C22⋊C4—22no—
343C2×C22⋊C4—22no—
344C2×C22⋊C4—22no—
345C2×C22⋊C4—22no—
346C2×C22⋊C4—22no—
347C2×C22⋊C4—22no—
348C2×C22⋊C4—22no—
349C2×C22⋊C4—22no—
350C2×C22⋊C4—24no—
351C2×C22⋊C4—24no—
352C2×C22⋊C4—24no—
353C2×C22⋊C4—24no—
354C2×C22⋊C4—22no—
355C2×C22⋊C4—22no—
356C2×C22⋊C4—22no—
357C2×C22⋊C4—22no—
358C2×C22⋊C4—48no—
359C2×C22⋊C4—42no—
360C2×C22⋊C4—44no—
361C2×C22⋊C4—44no—
362C2×C22⋊C4—44no—
363C2×C22⋊C4—44no—
364C2×C22⋊C4—44no—
365C2×C22⋊C4—44no—
366C2×C22⋊C4—82no—
367C2×C22⋊C4C2×D412yes—
368C2×C22⋊C4C2×D412yes—
369C2×C22⋊C4C2×D412yes—
370C2×C22⋊C4C2×D412yes—
371C2×C42—22no—
372C2×C42—22no—
373C2×C42—24no—
374C2×C42—42no—
375C2×C42—42no—
376C2×C42—44no—
377C2×C42C2×D412yes—
378C2×C42C2×D412yes—
379C2×C42C2412yes—
380C2×C42C2412yes—
381#107—28no—
382#106—44no—
383C4⋊C8—44no—
384#103—28no—
385#103—28no—
386#103—44no—
387#102—28no—
388#102—28no—
389#102—44no—
390#102—44no—
391#102—44no—
392C22⋊C8—24no—
393C22⋊C8—24no—
394C22⋊C8—42no—
395C22⋊C8—42no—
396C22⋊C8—42no—
397C22⋊C8—42no—
398#97—44no—
399#95—22no—
400#95—22no—
401#95—24no—
402#95—22no—
403#95—22no—
404#95—22no—
405#95—22no—
406#95C2×D412yes—
407#95C2×D412yes—
408#95C2×D412yes—
409#95C2×D412yes—
410C24—22no—
411C24—22no—
412C24—24no—
413C24—22no—
414C24—22no—
415C24—41no—
416C24—41no—
417C24—41no—
418C24—41no—
419C24—42no—
420C24—42no—
421C24—42no—
422C24—42no—
423C24—42no—
424C24—42no—
425C24—42no—
426C24—42no—
427C24—42no—
428C24—81no—
429C24—81no—
430C24—81no—
431C24—81no—
432C24AGL(1,ℤ/8)14yes—
433C24C22×D411yescharacteristic
434C24C22×D411yescharacteristic
435C24C22×D411yescharacteristic
436C2×Q8—24no—
437C2×Q8—22no—
438C2×Q8—24no—
439C2×Q8—24no—
440C2×Q8—416no—
441C2×Q8—42no—
442C2×Q8—42no—
443C2×Q8H(5,𝔽2)14yes—
444C2×D4—28no—
445C2×D4—28no—
446C2×D4—24no—
447C2×D4—22no—
448C2×D4—24no—
449C2×D4—24no—
450C2×D4—24no—
451C2×D4—22no—
452C2×D4—24no—
453C2×D4—22no—
454C2×D4—44no—
455C2×D4—44no—
456C2×D4—42no—
457C2×D4—42no—
458C2×D4—432no—
459C2×D4—44no—
460C2×D4—44no—
461C2×D4—44no—
462C2×D4—44no—
463C2×D4—44no—
464C2×D4—44no—
465C2×D4—42no—
466C2×D4—88no—
467C2×D4—81no—
468C2×D4—81no—
469C2×D4—88no—
470C2×D4—82no—
471C2×D4—82no—
472C2×D4—816no—
473C2×D4C2×#4114yes—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—24no—
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—41no—
499C22×C4—41no—
500C22×C4—41no—
501C22×C4—41no—
502C22×C4—41no—
503C22×C4—41no—
504C22×C4—41no—
505C22×C4—41no—
506C22×C4—41no—
507C22×C4—41no—
508C22×C4—41no—
509C22×C4—41no—
510C22×C4—41no—
511C22×C4—41no—
512C22×C4—44no—
513C22×C4—44no—
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—42no—
525C22×C4—88no—
526C22×C4—82no—
527C22×C4—82no—
528C22×C4—82no—
529C22×C4—82no—
530C22×C4—81no—
531C22×C4—81no—
532C22×C4—81no—
533C22×C4—81no—
534C22×C4C22×D411yescharacteristic
535C22×C4C22×D412yes—
536C22×C4C22×D412yes—
537C22×C4C22×D412yes—
538C22×C4C22×D411yescharacteristic
539C22×C4C22×D412yes—
540C22×C4C22×D411yescharacteristic
541C22×C4C2×#4114yes—
542C22×C4C2511yescharacteristic
543SD16—416no—
544D8—88no—
545C2×C8—24no—
546C2×C8—24no—
547C2×C8—24no—
548C2×C8—24no—
549C2×C8—24no—
550C2×C8—24no—
551C4⋊C4—24no—
552C4⋊C4—24no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—24no—
557C4⋊C4—24no—
558C4⋊C4—22no—
559C4⋊C4—48no—
560C4⋊C4—44no—
561C4⋊C4—44no—
562C4⋊C4—42no—
563C4⋊C4—44no—
564C4⋊C4—44no—
565C4⋊C4—81no—
566C4⋊C4—81no—
567C4⋊C4—84no—
568C4⋊C4C2×#4114yes—
569C4⋊C4H(5,𝔽2)14yes—
570C22⋊C4—28no—
571C22⋊C4—24no—
572C22⋊C4—24no—
573C22⋊C4—28no—
574C22⋊C4—42no—
575C22⋊C4—42no—
576C22⋊C4—44no—
577C22⋊C4—44no—
578C22⋊C4—48no—
579C22⋊C4—48no—
580C22⋊C4—44no—
581C22⋊C4—44no—
582C22⋊C4—48no—
583C22⋊C4—44no—
584C22⋊C4—44no—
585C22⋊C4—44no—
586C22⋊C4—44no—
587C22⋊C4—82no—
588C22⋊C4—82no—
589C22⋊C4—84no—
590C22⋊C4—82no—
591C22⋊C4—82no—
592C42—24no—
593C42—24no—
594C42—42no—
595C42—42no—
596C42—48no—
597C42—44no—
598C42—44no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—21no—
611C23—21no—
612C23—21no—
613C23—21no—
614C23—21no—
615C23—28no—
616C23—24no—
617C23—44no—
618C23—44no—
619C23—48no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—42no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—82no—
634C23—82no—
635C23—82no—
636C23—82no—
637C23—84no—
638C23—84no—
639C23—84no—
640C23—84no—
641C23—84no—
642C23—84no—
643C23—84no—
644C23—84no—
645C23—84no—
646C23—162no—
647C23—162no—
648C23—162no—
649C23—162no—
650C23#52512yes—
651C23C2×AGL(1,ℤ/8)12yes—
652C23C2×AGL(1,ℤ/8)12yes—
653C23C2×AGL(1,ℤ/8)12yes—
654C23#57512yes—
655C23C23×D411yescharacteristic
656Q8—28no—
657Q8—48no—
658Q8—44no—
659D4—28no—
660D4—416no—
661D4—416no—
662D4—44no—
663D4—44no—
664D4—44no—
665D4—84no—
666D4—88no—
667D4—88no—
668D4—84no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—28no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—21no—
677C2×C4—24no—
678C2×C4—21no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—24no—
684C2×C4—24no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—22no—
690C2×C4—22no—
691C2×C4—22no—
692C2×C4—22no—
693C2×C4—44no—
694C2×C4—48no—
695C2×C4—48no—
696C2×C4—48no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—44no—
704C2×C4—44no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—42no—
713C2×C4—42no—
714C2×C4—82no—
715C2×C4—82no—
716C2×C4—82no—
717C2×C4—82no—
718C2×C4—82no—
719C2×C4—82no—
720C2×C4—84no—
721C2×C4—164no—
722C2×C4—164no—
723C2×C4—162no—
724C2×C4—162no—
725C2×C4#52512yes—
726C2×C4C22×#4112yes—
727C2×C4C2×H(5,𝔽2)12yes—
728C2×C4C2×H(5,𝔽2)12yes—
729C8—44no—
730C8—44no—
731C22—22no—
732C22—22no—
733C22—22no—
734C22—22no—
735C22—22no—
736C22—22no—
737C22—22no—
738C22—22no—
739C22—22no—
740C22—22no—
741C22—22no—
742C22—22no—
743C22—41no—
744C22—41no—
745C22—41no—
746C22—41no—
747C22—41no—
748C22—41no—
749C22—41no—
750C22—41no—
751C22—44no—
752C22—44no—
753C22—44no—
754C22—88no—
755C22—82no—
756C22—82no—
757C22—82no—
758C22—82no—
759C22—82no—
760C22—82no—
761C22—82no—
762C22—82no—
763C22—82no—
764C22—82no—
765C22—82no—
766C22—168no—
767C22—168no—
768C22#311414yes—
769C22C2×#52511yescharacteristic
770C22#348411yescharacteristic
771C22#348411yescharacteristic
772C22C22×AGL(1,ℤ/8)11yescharacteristic
773C22C2×#57511yescharacteristic
774C22#358511yescharacteristic
775C22#358611yescharacteristic
776C4—22no—
777C4—41no—
778C4—41no—
779C4—44no—
780C4—44no—
781C4—42no—
782C4—44no—
783C4—42no—
784C4—42no—
785C4—42no—
786C4—82no—
787C4—82no—
788C4—82no—
789C4#351914yes—
790C2—24no—
791C2—42no—
792C2—42no—
793C2—84no—
794C2—162no—
795C2#3535511yescharacteristic
796C2C2×#311411yescharacteristic
797C2#6056711yescharacteristic
798C2#6156911yescharacteristic
799C2#6157211yescharacteristic
800C2#6157711yescharacteristic
801C2#6158311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#23918C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C4×C22⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2426C2semidirect
2. #34205C2semidirect
3. #29238C2semidirect
4. #27408C2semidirect
5. #26944C2semidirect
6. #26640C2semidirect
7. #25164C2semidirect
8. #24215C2semidirect
9. #24003C2semidirect
10. #24002C2semidirect
11. #23919C2semidirect
13. #22046C2semidirect
14. #21906C2semidirect
15. #21454C2semidirect
16. C22×#124C22semidirect
21. C22×C4×Q8C22semidirect
22. C2×#483C22semidirect
23. C2×#480C22semidirect
24. C2×#463C22semidirect
26. C2×#450C22semidirect
29. C2×#440C22semidirect
33. #2426C22semidirect
37. #2361C22semidirect
38. #2361C22semidirect
39. #2344C22semidirect
41. D4×C22⋊C4C22semidirect
48. C2×#390C22semidirect
49. C2×#389C22semidirect
53. #2088C22semidirect
54. #2067C22semidirect
55. #2042C22semidirect
56. #2035C22semidirect
58. #2012C22semidirect
59. #2000C22semidirect
61. #1983C22semidirect
62. #1972C22semidirect
63. #1936C22semidirect
64. #1926C22semidirect
65. #1924C22semidirect
66. #1924C22semidirect
67. #1921C22semidirect
68. #1880C22semidirect
69. #1879C22semidirect
73. #1874C22semidirect
74. #1872C22semidirect
75. #1872C22semidirect
76. #1864C22semidirect
77. #1863C22semidirect
78. #1853C22semidirect
79. #1852C22semidirect
80. #1797C22semidirect
81. #1787C22semidirect
82. #1786C22semidirect
85. #1763C22semidirect
86. #1749C22semidirect

Maximal subgroups

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

subgroupindex
C2×#24262
#342052
#292382
#274082
#269442
#266402
#251642
#242152
#240032
#240022
#239192
#239182
#220462
#219062
#214542