Finite Group Databasebeta

← #6394579

Subgroups — #6394579

Order 512.

2384 conjugacy classes of subgroups.

The subgroup lattice has 774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3193C211yesmaximal, characteristic
2#34205C211yesmaximal, characteristic
3C2×#2362C211yesmaximal, characteristic, complemented
4#23138C214yesmaximal, complemented
5#23040C214yesmaximal, complemented
6#22947C214yesmaximal, complemented
7#22864C214yesmaximal, complemented
8#22081C212yesmaximal, complemented
9#22041C212yesmaximal, complemented
10#21765C211yesmaximal, characteristic, complemented
11C4×#480C212yesmaximal, complemented
12#21454C212yesmaximal, complemented
13#20912C211yesmaximal, characteristic
14#20846C211yesmaximal, characteristic, complemented
15#20524C211yesmaximal, characteristic, complemented
16C22×C22⋊Q8C2211yescharacteristic
17C22×#121C2211yescharacteristic
18C2×#518—21no—
19C22×C4×Q8C2211yescharacteristic, complemented
20C22×#117C2211yescharacteristic
21#3193C4116yescomplemented
22C2×#484C2212yes—
23C2×#480C2212yes—
24C2×#468C2214yes—
25C2×#448C2212yes—
26C2×#450C2212yes—
27C2×#440C2214yescomplemented
28C2×#428C2212yescomplemented
29C2×#418C2212yes—
30C2×#407C2211yescharacteristic
31C2×#407C2211yescharacteristic
32#2364—22no—
33#2362—22no—
34#2362—22no—
35#2362C2214yes—
36#2362C2214yescomplemented
37#2361C2212yes—
38#2361C2212yes—
39#2344C2212yes—
40#2342—22no—
41D4×C22⋊C4C2212yes—
42#2325—21no—
43#2325—21no—
44#2308—21no—
45C4×#121C2212yes—
46C4×#121C2212yes—
47C2×#391C2211yescharacteristic, complemented
48C2×#389C2211yescharacteristic, complemented
49C2×#388—21no—
50C2×#388—21no—
51C2×#387—21no—
52C2×#380C2211yescharacteristic
53C2×C4×C4⋊C4—21no—
54C2×C4×C4⋊C4C2211yescharacteristic, complemented
55C2×C4×C22⋊C4C2211yescharacteristic
56#1968C2214yescomplemented
57#1943C2214yescomplemented
58#1936C2214yescomplemented
59#1933C2214yescomplemented
60#1927C2214yescomplemented
61#1925C2214yescomplemented
62#1921C2214yescomplemented
63#1918C2214yescomplemented
64#1894C2214yes—
65#1880C2214yescomplemented
66#1877C2214yescomplemented
67#1875C2214yes—
68#1874C2212yes—
69#1874C2212yes—
70#1872C2212yescomplemented
71#1872C2212yescomplemented
72#1864C2214yescomplemented
73#1863C2214yescomplemented
74#1854C2214yes—
75#1853C2212yescomplemented
76#1852C2212yescomplemented
77#1823C2212yescomplemented
78#1787C2212yescomplemented
79C4×#107C2214yescomplemented
80#1763C2214yescomplemented
81C4×#102C2214yescomplemented
82#1753C2214yes—
83#1753C2214yescomplemented
84#1749C2212yescomplemented
85C4×C22⋊C8C2212yescomplemented
86#1736C2212yes—
87#1736C2212yescomplemented
88C23×Q8C2311yescharacteristic
89C23×D4—21no—
90C23×D4C2311yescharacteristic
91C24×C4C2311yescharacteristic
92C22×SD16C2314yes—
93C22×M16C2312yes—
94C22×M16C2312yes—
95C2×C22⋊Q8—21no—
96C2×C22⋊Q8—21no—
97C2×C22⋊Q8—24no—
98C2×C22⋊Q8C2×C418yescomplemented
99C2×C22⋊Q8C2312yes—
100C2×C22⋊Q8C2312yes—
101C2×#121—21no—
102C2×#121—21no—
103C2×#121—24no—
104C2×#121C2×C418yes—
105C2×#121C2312yes—
106C2×#121C2312yes—
107#518—48no—
108C2×C4×Q8—22no—
109C2×C4×Q8—44no—
110C2×C4×Q8C2314yes—
111C2×C4×D4—22no—
112C2×C4×D4—22no—
113C2×C4×D4—22no—
114C2×C4×D4—22no—
115C2×C4×D4C2312yes—
116C2×C4×D4C2312yes—
117C2×#117—21no—
118C2×#117—21no—
119C2×#117—22no—
120C2×#117—44no—
121C2×#117C2312yes—
122C2×#117C2312yes—
123C22×C4⋊C4—21no—
124C22×C4⋊C4—21no—
125C22×C4⋊C4—21no—
126C22×C4⋊C4C2311yescharacteristic
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—22no—
137C22×C22⋊C4D411yescharacteristic
138C22×C22⋊C4D411yescharacteristic
139C22×C42—21no—
140C22×C42—21no—
141C22×C42—21no—
142C22×C42C2311yescharacteristic
143C22×C42C2311yescharacteristic
144#484C2×C4116yescomplemented
145#480C2×C4116yescomplemented
146#468C2×C4132yescomplemented
147#450C2×C4116yescomplemented
148#448C2×C4116yescomplemented
149#440—48no—
150#428—44no—
151C2×#107C2314yes—
152C2×#107C2314yes—
153C2×#106C2314yes—
154#418—44no—
155C2×#103C2314yes—
156C2×#103C2314yes—
157C2×#103C2314yes—
158C2×#102C2314yes—
159C2×#102C2314yes—
160C2×#102C2314yes—
161#407—24no—
162#407C2×C418yescomplemented
163C2×C22⋊C8C2312yes—
164C2×C22⋊C8C2312yes—
165C2×C22⋊C8C2312yes—
166C2×C22⋊C8C2312yes—
167C2×#97C2314yes—
168C2×C4×C8C2314yes—
169#391—22no—
170#391C2314yes—
171#390C2312yes—
172#390C2312yes—
173#389—22no—
174#389C2312yes—
175#389C2312yes—
176#389C2314yes—
177#388—24no—
178#388—24no—
179#388—24no—
180#388—24no—
181#388—22no—
182#388—22no—
183#388—22no—
184#388—22no—
185#387—22no—
186#387—22no—
187#387—24no—
188#387—24no—
189#386—22no—
190#386—22no—
191#386—22no—
192#386—22no—
193#386—22no—
194#386—22no—
195#385—22no—
196#385—22no—
197#381—22no—
198#380—21no—
199#380—21no—
200#380C2312yes—
201#380C2312yes—
202#379—22no—
203C4×C4⋊C4—22no—
204C4×C4⋊C4—24no—
205C4×C4⋊C4—24no—
206C4×C4⋊C4C2312yes—
207C4×C4⋊C4C2312yes—
208C4×C4⋊C4C2314yes—
209C4×C22⋊C4—22no—
210C4×C22⋊C4—22no—
211C4×C22⋊C4D412yes—
212C4×C22⋊C4D412yes—
213C4×C22⋊C4C2312yes—
214C4×C22⋊C4C2312yes—
215C2×#95—21no—
216C2×#95—21no—
217C2×#95—21no—
218C2×#95—21no—
219C2×#95—21no—
220C2×#95D411yescharacteristic
221C2×#95D411yescharacteristic
222#340C2314yes—
223#340C2314yes—
224#340C2314yes—
225#340C2314yes—
226#340C2314yes—
227#340C2314yes—
228#336C2314yes—
229#336C2314yes—
230C25—21no—
231C25C2×D411yescharacteristic
232C22×Q8—21no—
233C22×Q8—22no—
234C22×Q8—42no—
235C22×Q8—42no—
236C22×Q8C22×C414yes—
237C22×Q8C2412yes—
238C22×D4—28no—
239C22×D4—22no—
240C22×D4—22no—
241C22×D4—21no—
242C22×D4—22no—
243C22×D4—42no—
244C22×D4—42no—
245C22×D4—44no—
246C22×D4—44no—
247C22×D4C22×C414yes—
248C22×D4C2412yes—
249C23×C4—21no—
250C23×C4—21no—
251C23×C4—21no—
252C23×C4—21no—
253C23×C4—21no—
254C23×C4—21no—
255C23×C4—21no—
256C23×C4—22no—
257C23×C4—22no—
258C23×C4—42no—
259C23×C4—42no—
260C23×C4C22×C414yes—
261C23×C4C2×D411yescharacteristic
262C23×C4C2×D411yescharacteristic
263C23×C4C2×D411yescharacteristic
264C23×C4C2×D411yescharacteristic
265C23×C4C2×D411yescharacteristic
266C23×C4C2×D411yescharacteristic
267C23×C4C2×D411yescharacteristic
268C23×C4#4114yes—
269C23×C4C2411yescharacteristic
270C23×C4C2411yescharacteristic
271C23×C4C2411yescharacteristic
272C2×SD16—44no—
273C2×SD16—44no—
274C2×SD16C22×C4116yes—
275C2×M16—24no—
276C2×M16—42no—
277C2×M16—42no—
278C2×M16—42no—
279C2×M16—42no—
280C2×M16C22×C418yes—
281C22×C8C2414yes—
282C22×C8C2414yes—
283C22⋊Q8—28no—
284C22⋊Q8—28no—
285C22⋊Q8—24no—
286C22⋊Q8—24no—
287C22⋊Q8C22×C418yes—
288C22⋊Q8C22×C418yes—
289#121—28no—
290#121—28no—
291#121—24no—
292#121—24no—
293#121C22×C418yes—
294#121C22×C418yes—
295C4×Q8—28no—
296C4×Q8—44no—
297C4×Q8—48no—
298C4×D4—44no—
299C4×D4—44no—
300C4×D4—48no—
301C4×D4—48no—
302C4×D4—48no—
303C4×D4—48no—
304#117—24no—
305#117—24no—
306#117—48no—
307#117—42no—
308#117—42no—
309#117—44no—
310#117—44no—
311C2×C4⋊C4—28no—
312C2×C4⋊C4—22no—
313C2×C4⋊C4—22no—
314C2×C4⋊C4—21no—
315C2×C4⋊C4—21no—
316C2×C4⋊C4—21no—
317C2×C4⋊C4—22no—
318C2×C4⋊C4—22no—
319C2×C4⋊C4—24no—
320C2×C4⋊C4—24no—
321C2×C4⋊C4—24no—
322C2×C4⋊C4—21no—
323C2×C4⋊C4—22no—
324C2×C4⋊C4—22no—
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⋊C4C22×C414yes—
333C2×C4⋊C4C22×C414yes—
334C2×C4⋊C4C2412yes—
335C2×C4⋊C4C2412yes—
336C2×C4⋊C4C2412yes—
337C2×C4⋊C4C2412yes—
338C2×C4⋊C4C2412yes—
339C2×C4⋊C4C2412yes—
340C2×C22⋊C4—28no—
341C2×C22⋊C4—22no—
342C2×C22⋊C4—22no—
343C2×C22⋊C4—28no—
344C2×C22⋊C4—24no—
345C2×C22⋊C4—22no—
346C2×C22⋊C4—22no—
347C2×C22⋊C4—22no—
348C2×C22⋊C4—22no—
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—48no—
358C2×C22⋊C4—42no—
359C2×C22⋊C4—44no—
360C2×C22⋊C4—44no—
361C2×C22⋊C4C2×D412yes—
362C2×C22⋊C4C2×D412yes—
363C2×C22⋊C4C2×D412yes—
364C2×C22⋊C4C2×D412yes—
365C2×C42—22no—
366C2×C42—22no—
367C2×C42—22no—
368C2×C42—22no—
369C2×C42—24no—
370C2×C42—24no—
371C2×C42—42no—
372C2×C42—42no—
373C2×C42—44no—
374C2×C42—44no—
375C2×C42—44no—
376C2×C42C2×D412yes—
377C2×C42C2×D412yes—
378C2×C42C2412yes—
379C2×C42C2412yes—
380#107—28no—
381#107C22×C4116yes—
382#106—44no—
383#103—44no—
384#103—44no—
385#103C22×C4116yes—
386#102—28no—
387#102—44no—
388#102C22×C4116yes—
389C22⋊C8—24no—
390C22⋊C8—24no—
391C22⋊C8C22×C418yes—
392C22⋊C8C22×C418yes—
393#97—44no—
394C4×C8—44no—
395#95—22no—
396#95—24no—
397#95—24no—
398#95—22no—
399#95—24no—
400#95—24no—
401#95—22no—
402#95—22no—
403#95—22no—
404#95—22no—
405#95C2×D412yes—
406#95C2×D412yes—
407#95C2×D412yes—
408#95C2×D412yes—
409C24—22no—
410C24—22no—
411C24—22no—
412C24—24no—
413C24—41no—
414C24—41no—
415C24—41no—
416C24—41no—
417C24—42no—
418C24—42no—
419C24—81no—
420C24—81no—
421C24—81no—
422C24—81no—
423C24C4×D414yes—
424C24C22×D411yescharacteristic
425C24C22×D411yescharacteristic
426C24C22×D411yescharacteristic
427C2×Q8—24no—
428C2×Q8—22no—
429C2×Q8—24no—
430C2×Q8—24no—
431C2×Q8—48no—
432C2×Q8—42no—
433C2×Q8—42no—
434C2×Q8—48no—
435C2×Q8C23×C414yes—
436C2×D4—28no—
437C2×D4—28no—
438C2×D4—24no—
439C2×D4—22no—
440C2×D4—24no—
441C2×D4—24no—
442C2×D4—48no—
443C2×D4—44no—
444C2×D4—432no—
445C2×D4—44no—
446C2×D4—44no—
447C2×D4—44no—
448C2×D4—84no—
449C2×D4—81no—
450C2×D4—81no—
451C2×D4C23×C414yes—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—24no—
459C22×C4—24no—
460C22×C4—24no—
461C22×C4—24no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—48no—
473C22×C4—48no—
474C22×C4—41no—
475C22×C4—41no—
476C22×C4—41no—
477C22×C4—41no—
478C22×C4—41no—
479C22×C4—41no—
480C22×C4—41no—
481C22×C4—41no—
482C22×C4—41no—
483C22×C4—41no—
484C22×C4—41no—
485C22×C4—41no—
486C22×C4—41no—
487C22×C4—41no—
488C22×C4—44no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—44no—
503C22×C4—82no—
504C22×C4—82no—
505C22×C4—82no—
506C22×C4—82no—
507C22×C4—81no—
508C22×C4—81no—
509C22×C4—81no—
510C22×C4—81no—
511C22×C4C4×D414yes—
512C22×C4C4×D414yes—
513C22×C4C4×D414yes—
514C22×C4AGL(1,ℤ/8)14yes—
515C22×C4C23×C412yes—
516C22×C4C23×C412yes—
517C22×C4C23×C412yes—
518C22×C4C22×D412yes—
519C22×C4C22×D412yes—
520C22×C4C22×D412yes—
521C22×C4C22×D411yescharacteristic
522C22×C4C22×D411yescharacteristic
523C22×C4C22×D411yescharacteristic
524C22×C4C22×D412yes—
525C22×C4C2×#4112yes—
526C22×C4C2×#4112yes—
527C22×C4C2×#4112yes—
528C22×C4C2511yescharacteristic
529SD16—416no—
530M16—48no—
531M16—84no—
532C2×C8—24no—
533C2×C8—24no—
534C2×C8—24no—
535C2×C8—24no—
536C2×C8—24no—
537C2×C8C23×C418yes—
538C4⋊C4—24no—
539C4⋊C4—28no—
540C4⋊C4—28no—
541C4⋊C4—24no—
542C4⋊C4—24no—
543C4⋊C4—22no—
544C4⋊C4—22no—
545C4⋊C4—22no—
546C4⋊C4—22no—
547C4⋊C4—24no—
548C4⋊C4—22no—
549C4⋊C4—24no—
550C4⋊C4—48no—
551C4⋊C4—48no—
552C4⋊C4—42no—
553C4⋊C4—44no—
554C4⋊C4—44no—
555C4⋊C4—81no—
556C4⋊C4—81no—
557C4⋊C4C23×C414yes—
558C4⋊C4C23×C414yes—
559C4⋊C4H(5,𝔽2)14yes—
560C22⋊C4—28no—
561C22⋊C4—28no—
562C22⋊C4—28no—
563C22⋊C4—28no—
564C22⋊C4—24no—
565C22⋊C4—24no—
566C22⋊C4—42no—
567C22⋊C4—42no—
568C22⋊C4—44no—
569C22⋊C4—44no—
570C22⋊C4—44no—
571C22⋊C4—44no—
572C22⋊C4—44no—
573C22⋊C4—44no—
574C22⋊C4—82no—
575C22⋊C4—82no—
576C22⋊C4—82no—
577C22⋊C4—82no—
578C42—24no—
579C42—24no—
580C42—42no—
581C42—42no—
582C42—44no—
583C42—44no—
584C42—48no—
585C42—44no—
586C42—48no—
587C42—44no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—28no—
605C23—24no—
606C23—44no—
607C23—44no—
608C23—48no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—82no—
616C23—82no—
617C23—82no—
618C23—82no—
619C23—84no—
620C23—84no—
621C23—162no—
622C23—162no—
623C23—162no—
624C23—162no—
625C23C2×C4×D412yes—
626C23C2×C4×D412yes—
627C23C2×C4×D412yes—
628C23C2×AGL(1,ℤ/8)12yes—
629C23#57512yes—
630C23C23×D411yescharacteristic
631Q8—28no—
632Q8—48no—
633Q8—44no—
634D4—28no—
635D4—416no—
636D4—416no—
637D4—44no—
638D4—84no—
639C2×C4—22no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—22no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—24no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—24no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—24no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—44no—
667C2×C4—44no—
668C2×C4—44no—
669C2×C4—44no—
670C2×C4—44no—
671C2×C4—48no—
672C2×C4—48no—
673C2×C4—48no—
674C2×C4—42no—
675C2×C4—48no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—82no—
693C2×C4—82no—
694C2×C4—84no—
695C2×C4—164no—
696C2×C4—164no—
697C2×C4—162no—
698C2×C4—162no—
699C2×C4C2×C4×D412yes—
700C2×C4C2×C4×D412yes—
701C2×C4C2×C4×D412yes—
702C2×C4C2×AGL(1,ℤ/8)14yes—
703C2×C4C24×C411yescharacteristic
704C2×C4C22×#4111yescharacteristic
705C2×C4C2×H(5,𝔽2)12yes—
706C2×C4#58512yes—
707C8—28no—
708C8—44no—
709C22—22no—
710C22—22no—
711C22—22no—
712C22—22no—
713C22—22no—
714C22—22no—
715C22—22no—
716C22—22no—
717C22—22no—
718C22—22no—
719C22—22no—
720C22—22no—
721C22—41no—
722C22—41no—
723C22—41no—
724C22—41no—
725C22—41no—
726C22—41no—
727C22—41no—
728C22—41no—
729C22—44no—
730C22—44no—
731C22—44no—
732C22—88no—
733C22—82no—
734C22—82no—
735C22—82no—
736C22—82no—
737C22—168no—
738C22C4×AGL(1,ℤ/8)14yes—
739C22C22×C4×D411yescharacteristic
740C22#348411yescharacteristic
741C22#348511yescharacteristic
742C22C22×AGL(1,ℤ/8)11yescharacteristic
743C22C2×#57511yescharacteristic
744C22#358611yescharacteristic
745C22#358611yescharacteristic
746C4—24no—
747C4—22no—
748C4—22no—
749C4—22no—
750C4—42no—
751C4—42no—
752C4—42no—
753C4—44no—
754C4—44no—
755C4—44no—
756C4—44no—
757C4—82no—
758C4—82no—
759C4—82no—
760C4C4×H(5,𝔽2)12yes—
761C4#350512yes—
762C2—24no—
763C2—42no—
764C2—42no—
765C2—84no—
766C2#3426411yescharacteristic
767C2C2×C4×AGL(1,ℤ/8)11yescharacteristic
768C2#6016911yescharacteristic
769C2#6158311yescharacteristic
770C2#6158511yescharacteristic
771C2#6170411yescharacteristic
772C2#6171211yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutatorC2×C4C24×C4
Frattini, cosocleC22×C4C25
prime radicalC22×#121C22
LCSG ▷ C2×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
3. C2×#2362C2semidirect
4. #23138C2semidirect
5. #23040C2semidirect
6. #22947C2semidirect
7. #22864C2semidirect
8. #22081C2semidirect
9. #22041C2semidirect
10. #21765C2semidirect
11. C4×#480C2semidirect
12. #21454C2semidirect
14. #20846C2semidirect
15. #20524C2semidirect
19. C22×C4×Q8C22semidirect
21. #3193C4semidirect
27. C2×#440C22semidirect
28. C2×#428C22semidirect
36. #2362C22semidirect
47. C2×#391C22semidirect
48. C2×#389C22semidirect
54. C2×C4×C4⋊C4C22semidirect
56. #1968C22semidirect
57. #1943C22semidirect
58. #1936C22semidirect
59. #1933C22semidirect
60. #1927C22semidirect
61. #1925C22semidirect
62. #1921C22semidirect
63. #1918C22semidirect
65. #1880C22semidirect
66. #1877C22semidirect
70. #1872C22semidirect
71. #1872C22semidirect
72. #1864C22semidirect
73. #1863C22semidirect
75. #1853C22semidirect
76. #1852C22semidirect
77. #1823C22semidirect
78. #1787C22semidirect
79. C4×#107C22semidirect
80. #1763C22semidirect
81. C4×#102C22semidirect
83. #1753C22semidirect
84. #1749C22semidirect
85. C4×C22⋊C8C22semidirect
87. #1736C22semidirect
98. C2×C22⋊Q8C2×C4semidirect
144. #484C2×C4semidirect
145. #480C2×C4semidirect
146. #468C2×C4semidirect
147. #450C2×C4semidirect
148. #448C2×C4semidirect
162. #407C2×C4semidirect

Maximal subgroups

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

subgroupindex
C2×#31932
#342052
C2×#23622
#231382
#230402
#229472
#228642
#220812
#220412
#217652
C4×#4802
#214542
#209122
#208462
#205242