Finite Group Databasebeta

← #6502103

Subgroups — #6502103

Order 512.

2414 conjugacy classes of subgroups.

The subgroup lattice has 807 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2428C211yesmaximal, characteristic
2#34212C211yesmaximal, characteristic, complemented
3#29240C212yesmaximal, complemented
4#27394C214yesmaximal, complemented
5#26930C214yesmaximal, complemented
6#26629C214yesmaximal, complemented
7#25153C214yesmaximal, complemented
8#24211C212yesmaximal, complemented
9#24005C211yesmaximal, characteristic, complemented
10#24005C211yesmaximal, characteristic, complemented
11#23919C211yesmaximal, characteristic, complemented
12#23919C211yesmaximal, characteristic, complemented
13#22043C212yesmaximal, complemented
14#21902C211yesmaximal, characteristic, complemented
15C4×#450C212yesmaximal, complemented
16C22×#127C2211yescharacteristic
17C22×C22⋊Q8C2211yescharacteristic
18C22×#121—21no—
19C22×#121C2211yescharacteristic
20C22×#121C2211yescharacteristic
21C22×C4×D4C2211yescharacteristic
22C2×#481C2212yescomplemented
23C2×#481C2212yescomplemented
24C2×#460C2214yescomplemented
25C2×#448C2212yescomplemented
26C2×#448C2212yescomplemented
27C2×#450C2212yes—
28C2×#450C2212yes—
29C2×C4×SD16C2214yescomplemented
30#2428—22no—
31#2428—22no—
32#2428C2214yes—
33#2428C2214yes—
34C2×#394—21no—
35C2×#392—21no—
36#2368—22no—
37#2360C2212yescomplemented
38#2360C2212yescomplemented
39#2345—22no—
40#2345C2212yescomplemented
41Q8×C22⋊C4C2212yescomplemented
42#2329—21no—
43#2329—21no—
44#2315—21no—
45C4×C22⋊Q8C2212yes—
46C4×C22⋊Q8C2212yes—
47C2×#390C2211yescharacteristic
48C2×#389C2211yescharacteristic
49C2×#386—21no—
50C2×#380C2211yescharacteristic
51#2273—21no—
52C2×C4×C22⋊C4C2211yescharacteristic
53#2088C2214yescomplemented
54#2066C2214yescomplemented
55#2041C2214yescomplemented
56#2034C2214yescomplemented
57#2034C2214yescomplemented
58#2014C2214yescomplemented
59#2000C2214yescomplemented
60#2000C2214yescomplemented
61#1982C2214yescomplemented
62#1968C2214yescomplemented
63#1934C2214yescomplemented
64#1926C2214yescomplemented
65#1923C2214yescomplemented
66#1923C2214yescomplemented
67#1919C2214yescomplemented
68#1880C2214yescomplemented
69#1877C2214yescomplemented
70#1874C2212yescomplemented
71#1874C2212yescomplemented
72#1874C2212yescomplemented
73#1874C2212yescomplemented
74#1872C2212yes—
75#1872C2212yes—
76#1865C2214yescomplemented
77#1864C2214yescomplemented
78#1853C2212yes—
79#1853C2212yes—
80#1797C2212yes—
81#1786C2212yes—
82#1786C2212yes—
83#1779C2211yescharacteristic
84#1779C2211yescharacteristic
85C4×#102C2214yescomplemented
86C4×C22⋊C8C2212yes—
87C23×Q8C2311yescharacteristic
88C23×D4—21no—
89C23×D4—21no—
90C23×D4—21no—
91C23×D4—21no—
92C23×D4C2311yescharacteristic
93C23×D4C2311yescharacteristic
94C24×C4—21no—
95C24×C4C2311yescharacteristic
96C22×SD16C2314yes—
97C22×SD16C2314yes—
98C2×#127—22no—
99C2×#127—44no—
100C2×#127C2314yes—
101C2×C22⋊Q8—21no—
102C2×C22⋊Q8—21no—
103C2×C22⋊Q8—28no—
104C2×C22⋊Q8C2312yes—
105C2×C22⋊Q8C2312yes—
106C2×#121—21no—
107C2×#121—21no—
108C2×#121—21no—
109C2×#121—21no—
110C2×#121—24no—
111C2×#121—24no—
112C2×#121—44no—
113C2×#121—44no—
114C2×#121—48no—
115C2×#121C2312yes—
116C2×#121C2312yes—
117C2×#121C2312yes—
118C2×#121C2312yes—
119C2×C4×Q8C2312yes—
120C2×C4×Q8C2312yes—
121C2×C4×D4—22no—
122C2×C4×D4—44no—
123C2×C4×D4C2314yes—
124C22×C4⋊C4—21no—
125C22×C4⋊C4—21no—
126C22×C4⋊C4C2311yescharacteristic
127C22×C4⋊C4C2311yescharacteristic
128C22×C4⋊C4C2311yescharacteristic
129C22×C4⋊C4C2311yescharacteristic
130C22×C4⋊C4C2311yescharacteristic
131C22×C22⋊C4—21no—
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⋊C4D411yescharacteristic
139C22×C22⋊C4D411yescharacteristic
140C22×C42C2311yescharacteristic
141C22×C42C2311yescharacteristic
142#481—44no—
143#481—44no—
144#460—48no—
145#450—28no—
146#450—28no—
147#448—44no—
148#448—44no—
149C4×SD16—48no—
150C2×#106C2314yes—
151C2×#106C2314yes—
152C2×C4⋊C8C2314yes—
153C2×#103C2314yes—
154C2×#103C2314yes—
155C2×#102C2314yes—
156C2×#102C2314yes—
157C2×#102C2314yes—
158C2×#102C2314yes—
159C2×#102C2314yes—
160C2×#102C2314yes—
161C2×C22⋊C8C2312yes—
162C2×C22⋊C8C2312yes—
163C2×C22⋊C8C2312yes—
164C2×C22⋊C8C2312yes—
165C2×C22⋊C8C2312yes—
166C2×C22⋊C8C2312yes—
167C2×C4×C8C2314yes—
168#394—24no—
169#394—24no—
170#392—24no—
171#392—24no—
172#391—22no—
173#391—22no—
174#391C2312yes—
175#391C2312yes—
176#390—22no—
177#390C2314yes—
178#389—22no—
179#389—22no—
180#389—22no—
181#389C2314yes—
182#389C2312yes—
183#389C2312yes—
184#387—22no—
185#387—22no—
186#387—22no—
187#387—22no—
188#387—22no—
189#387—22no—
190#386—24no—
191#386—24no—
192#385—22no—
193#385—22no—
194#385—22no—
195#385—22no—
196#380—21no—
197#380—21no—
198#380—22no—
199#380—22no—
200#380C2312yes—
201#380C2312yes—
202C4×C4⋊C4—22no—
203C4×C4⋊C4—22no—
204C4×C4⋊C4C2312yes—
205C4×C4⋊C4C2312yes—
206C4×C22⋊C4—22no—
207C4×C22⋊C4—22no—
208C4×C22⋊C4—22no—
209C4×C22⋊C4—22no—
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—42no—
232C22×Q8—42no—
233C22×Q8C2412yes—
234C22×D4—24no—
235C22×D4—22no—
236C22×D4—22no—
237C22×D4—22no—
238C22×D4—22no—
239C22×D4—21no—
240C22×D4—21no—
241C22×D4—24no—
242C22×D4—24no—
243C22×D4—24no—
244C22×D4—24no—
245C22×D4—42no—
246C22×D4—42no—
247C22×D4—42no—
248C22×D4—44no—
249C22×D4—44no—
250C22×D4—44no—
251C22×D4—44no—
252C22×D4—44no—
253C22×D4—44no—
254C22×D4—44no—
255C22×D4—44no—
256C22×D4—82no—
257C22×D4—82no—
258C22×D4—82no—
259C22×D4—82no—
260C22×D4C2412yes—
261C22×D4C2412yes—
262C23×C4—21no—
263C23×C4—21no—
264C23×C4—21no—
265C23×C4—24no—
266C23×C4—21no—
267C23×C4—21no—
268C23×C4—21no—
269C23×C4—24no—
270C23×C4—42no—
271C23×C4—42no—
272C23×C4—44no—
273C23×C4—44no—
274C23×C4—82no—
275C23×C4C2×D411yescharacteristic
276C23×C4C2×D411yescharacteristic
277C23×C4C2×D411yescharacteristic
278C23×C4C2×D411yescharacteristic
279C23×C4C2×D411yescharacteristic
280C23×C4C2×D411yescharacteristic
281C23×C4C2×D411yescharacteristic
282C23×C4C2411yescharacteristic
283C23×C4C2411yescharacteristic
284C23×C4C2411yescharacteristic
285C2×SD16—28no—
286C2×SD16—28no—
287C2×SD16—28no—
288C2×SD16—44no—
289C2×SD16—44no—
290C2×SD16—44no—
291C22×C8C2414yes—
292C22×C8C2414yes—
293#127—28no—
294#127—44no—
295#127—48no—
296C22⋊Q8—28no—
297C22⋊Q8—28no—
298C22⋊Q8—24no—
299C22⋊Q8—24no—
300C22⋊Q8—24no—
301C22⋊Q8#4118yes—
302#121—24no—
303#121—24no—
304#121—24no—
305#121—24no—
306#121—42no—
307#121—42no—
308#121—42no—
309#121—42no—
310#121—44no—
311#121—44no—
312#121—44no—
313#121—44no—
314#121—416no—
315#121—416no—
316C4×Q8—44no—
317C4×Q8—44no—
318C4×D4—28no—
319C4×D4—44no—
320C4×D4—48no—
321C2×C4⋊C4—28no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—22no—
324C2×C4⋊C4—21no—
325C2×C4⋊C4—21no—
326C2×C4⋊C4—24no—
327C2×C4⋊C4—24no—
328C2×C4⋊C4—24no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—22no—
335C2×C4⋊C4—22no—
336C2×C4⋊C4—42no—
337C2×C4⋊C4—42no—
338C2×C4⋊C4—42no—
339C2×C4⋊C4—44no—
340C2×C4⋊C4C2412yes—
341C2×C4⋊C4C2412yes—
342C2×C4⋊C4C2412yes—
343C2×C4⋊C4C2412yes—
344C2×C4⋊C4C2412yes—
345C2×C22⋊C4—28no—
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—22no—
353C2×C22⋊C4—22no—
354C2×C22⋊C4—22no—
355C2×C22⋊C4—22no—
356C2×C22⋊C4—24no—
357C2×C22⋊C4—42no—
358C2×C22⋊C4—44no—
359C2×C22⋊C4—44no—
360C2×C22⋊C4—44no—
361C2×C22⋊C4—44no—
362C2×C22⋊C4—44no—
363C2×C22⋊C4—82no—
364C2×C22⋊C4SD1618yescomplemented
365C2×C22⋊C4C2×D412yes—
366C2×C22⋊C4C2×D412yes—
367C2×C22⋊C4C2×D412yes—
368C2×C22⋊C4C2×D412yes—
369C2×C42—22no—
370C2×C42—22no—
371C2×C42—22no—
372C2×C42—22no—
373C2×C42—42no—
374C2×C42—42no—
375C2×C42C2×D412yes—
376C2×C42C2×D412yes—
377C2×C42C2412yes—
378C2×C42C2412yes—
379#106—28no—
380#106—44no—
381C4⋊C8—44no—
382#103—28no—
383#103—44no—
384#102—28no—
385#102—28no—
386#102—28no—
387#102—44no—
388#102—44no—
389#102—44no—
390C22⋊C8—24no—
391C22⋊C8—24no—
392C22⋊C8—42no—
393C22⋊C8—42no—
394C22⋊C8—42no—
395C22⋊C8—42no—
396C4×C8—44no—
397#95—22no—
398#95—22no—
399#95—24no—
400#95—22no—
401#95—22no—
402#95—22no—
403#95—22no—
404#95—22no—
405#95—22no—
406#95—22no—
407#95—22no—
408#95C2×D412yes—
409#95C2×D412yes—
410#95C2×D412yes—
411#95C2×D412yes—
412C24—22no—
413C24—22no—
414C24—24no—
415C24—22no—
416C24—22no—
417C24—41no—
418C24—41no—
419C24—41no—
420C24—41no—
421C24—42no—
422C24—42no—
423C24—42no—
424C24—42no—
425C24—42no—
426C24—42no—
427C24—42no—
428C24—42no—
429C24—42no—
430C24—42no—
431C24—42no—
432C24—42no—
433C24—42no—
434C24C2×SD1614yes—
435C24C22×D411yescharacteristic
436C24C22×D411yescharacteristic
437C24C22×D411yescharacteristic
438C2×Q8—24no—
439C2×Q8—22no—
440C2×Q8—24no—
441C2×Q8—24no—
442C2×Q8—81no—
443C2×Q8—81no—
444C2×Q8—88no—
445C2×Q8C2×#4114yes—
446C2×D4—24no—
447C2×D4—24no—
448C2×D4—24no—
449C2×D4—24no—
450C2×D4—22no—
451C2×D4—22no—
452C2×D4—24no—
453C2×D4—22no—
454C2×D4—416no—
455C2×D4—42no—
456C2×D4—44no—
457C2×D4—44no—
458C2×D4—48no—
459C2×D4—48no—
460C2×D4—42no—
461C2×D4—42no—
462C2×D4—48no—
463C2×D4—44no—
464C2×D4—44no—
465C2×D4—44no—
466C2×D4—44no—
467C2×D4—44no—
468C2×D4—44no—
469C2×D4—42no—
470C2×D4—42no—
471C2×D4—48no—
472C2×D4—88no—
473C2×D4—84no—
474C2×D4—84no—
475C2×D4—82no—
476C2×D4—82no—
477C2×D4—82no—
478C2×D4—82no—
479C2×D4—816no—
480C2×D4—816no—
481C2×D4—816no—
482C2×D4—816no—
483C2×D4H(5,𝔽2)14yes—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—24no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
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—41no—
507C22×C4—41no—
508C22×C4—41no—
509C22×C4—41no—
510C22×C4—41no—
511C22×C4—41no—
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—48no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—42no—
525C22×C4—42no—
526C22×C4—42no—
527C22×C4—42no—
528C22×C4—48no—
529C22×C4—88no—
530C22×C4—84no—
531C22×C4—81no—
532C22×C4—81no—
533C22×C4—81no—
534C22×C4—81no—
535C22×C4—816no—
536C22×C4—81no—
537C22×C4—81no—
538C22×C4—81no—
539C22×C4—81no—
540C22×C4C2×SD1614yes—
541C22×C4C2×SD1614yes—
542C22×C4C22×D412yes—
543C22×C4C22×D411yescharacteristic
544C22×C4C22×D412yes—
545C22×C4C22×D411yescharacteristic
546C22×C4C22×D411yescharacteristic
547C22×C4C22×D412yes—
548C22×C4C22×D412yes—
549C22×C4C2×#4114yes—
550C22×C4C2511yescharacteristic
551SD16—416no—
552SD16—88no—
553C2×C8—24no—
554C2×C8—24no—
555C2×C8—24no—
556C2×C8—24no—
557C2×C8—24no—
558C2×C8—24no—
559C4⋊C4—24no—
560C4⋊C4—24no—
561C4⋊C4—28no—
562C4⋊C4—28no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—24no—
566C4⋊C4—24no—
567C4⋊C4—22no—
568C4⋊C4—22no—
569C4⋊C4—42no—
570C4⋊C4—48no—
571C4⋊C4—82no—
572C4⋊C4—82no—
573C4⋊C4—81no—
574C4⋊C4—81no—
575C4⋊C4—82no—
576C4⋊C4—82no—
577C4⋊C4C2×#4114yes—
578C4⋊C4H(5,𝔽2)14yes—
579C22⋊C4—28no—
580C22⋊C4—28no—
581C22⋊C4—42no—
582C22⋊C4—42no—
583C22⋊C4—48no—
584C22⋊C4—44no—
585C22⋊C4—44no—
586C22⋊C4—44no—
587C22⋊C4—44no—
588C22⋊C4—44no—
589C22⋊C4—44no—
590C22⋊C4—48no—
591C22⋊C4—84no—
592C22⋊C4C2×SD1618yes—
593C22⋊C4C2×SD1618yes—
594C42—24no—
595C42—24no—
596C42—42no—
597C42—42no—
598C42—82no—
599C42—82no—
600C42—82no—
601C42—82no—
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—21no—
616C23—21no—
617C23—21no—
618C23—28no—
619C23—24no—
620C23—44no—
621C23—44no—
622C23—48no—
623C23—48no—
624C23—48no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—42no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23—42no—
638C23—82no—
639C23—82no—
640C23—82no—
641C23—82no—
642C23—84no—
643C23—84no—
644C23—84no—
645C23—84no—
646C23—84no—
647C23—84no—
648C23—84no—
649C23—84no—
650C23—84no—
651C23—84no—
652C23—84no—
653C23#52512yes—
654C23C22×SD1612yes—
655C23C22×SD1612yes—
656C23C22×SD1612yes—
657C23#57512yes—
658C23C23×D411yescharacteristic
659Q8—28no—
660Q8—44no—
661Q8—84no—
662D4—28no—
663D4—48no—
664D4—44no—
665D4—44no—
666D4—44no—
667D4—816no—
668D4—84no—
669D4—88no—
670D4—88no—
671D4—816no—
672D4—88no—
673D4—88no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—28no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—24no—
684C2×C4—24no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—22no—
688C2×C4—22no—
689C2×C4—24no—
690C2×C4—21no—
691C2×C4—21no—
692C2×C4—21no—
693C2×C4—21no—
694C2×C4—22no—
695C2×C4—22no—
696C2×C4—44no—
697C2×C4—44no—
698C2×C4—48no—
699C2×C4—44no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—44no—
707C2×C4—44no—
708C2×C4—42no—
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—82no—
718C2×C4—82no—
719C2×C4—816no—
720C2×C4—82no—
721C2×C4—82no—
722C2×C4—84no—
723C2×C4—84no—
724C2×C4—84no—
725C2×C4—162no—
726C2×C4—162no—
727C2×C4#52512yes—
728C2×C4C22×SD1614yes—
729C2×C4C22×SD1614yes—
730C2×C4C22×#4112yes—
731C2×C4C2×H(5,𝔽2)12yes—
732C2×C4C2×H(5,𝔽2)12yes—
733C8—44no—
734C8—44no—
735C22—22no—
736C22—22no—
737C22—22no—
738C22—22no—
739C22—22no—
740C22—22no—
741C22—22no—
742C22—22no—
743C22—22no—
744C22—22no—
745C22—22no—
746C22—22no—
747C22—41no—
748C22—41no—
749C22—41no—
750C22—41no—
751C22—41no—
752C22—41no—
753C22—41no—
754C22—41no—
755C22—44no—
756C22—44no—
757C22—44no—
758C22—88no—
759C22—816no—
760C22—82no—
761C22—82no—
762C22—82no—
763C22—82no—
764C22—82no—
765C22—82no—
766C22—82no—
767C22—82no—
768C22—82no—
769C22—82no—
770C22—82no—
771C22—168no—
772C22#310314yes—
773C22C2×#52511yescharacteristic
774C22#348411yescharacteristic
775C22#348411yescharacteristic
776C22C23×SD1611yescharacteristic
777C22C2×#57511yescharacteristic
778C22#358511yescharacteristic
779C22#358511yescharacteristic
780C4—22no—
781C4—24no—
782C4—24no—
783C4—41no—
784C4—41no—
785C4—44no—
786C4—44no—
787C4—42no—
788C4—42no—
789C4—44no—
790C4—82no—
791C4—82no—
792C4—82no—
793C4#351914yes—
794C2—24no—
795C2—42no—
796C2—42no—
797C2—84no—
798C2—162no—
799C2#3535511yescharacteristic
800C2C2×#310311yescharacteristic
801C2#6056811yescharacteristic
802C2#6156011yescharacteristic
803C2#6156011yescharacteristic
804C2#6157711yescharacteristic
805C2#6158111yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#2428C2
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
2. #34212C2semidirect
3. #29240C2semidirect
4. #27394C2semidirect
5. #26930C2semidirect
6. #26629C2semidirect
7. #25153C2semidirect
8. #24211C2semidirect
9. #24005C2semidirect
10. #24005C2semidirect
11. #23919C2semidirect
12. #23919C2semidirect
13. #22043C2semidirect
14. #21902C2semidirect
15. C4×#450C2semidirect
22. C2×#481C22semidirect
23. C2×#481C22semidirect
24. C2×#460C22semidirect
25. C2×#448C22semidirect
26. C2×#448C22semidirect
29. C2×C4×SD16C22semidirect
37. #2360C22semidirect
38. #2360C22semidirect
40. #2345C22semidirect
41. Q8×C22⋊C4C22semidirect
53. #2088C22semidirect
54. #2066C22semidirect
55. #2041C22semidirect
56. #2034C22semidirect
57. #2034C22semidirect
58. #2014C22semidirect
59. #2000C22semidirect
60. #2000C22semidirect
61. #1982C22semidirect
62. #1968C22semidirect
63. #1934C22semidirect
64. #1926C22semidirect
65. #1923C22semidirect
66. #1923C22semidirect
67. #1919C22semidirect
68. #1880C22semidirect
69. #1877C22semidirect
70. #1874C22semidirect
71. #1874C22semidirect
72. #1874C22semidirect
73. #1874C22semidirect
76. #1865C22semidirect
77. #1864C22semidirect
85. C4×#102C22semidirect
364. C2×C22⋊C4SD16semidirect

Maximal subgroups

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

subgroupindex
C2×#24282
#342122
#292402
#273942
#269302
#266292
#251532
#242112
#240052
#239192
#220432
#219022
C4×#4502