Finite Group Databasebeta

← #6470686

Subgroups — #6470686

Order 512.

2320 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×#3189C211yesmaximal, characteristic, complemented
2C2×#3187C211yesmaximal, characteristic
3#35019C211yesmaximal, characteristic
4C2×#2360C211yesmaximal, characteristic, complemented
5#33110C212yesmaximal, complemented
6#32909C212yesmaximal, complemented
7#29761C212yesmaximal, complemented
8#29719C212yesmaximal, complemented
9#25210C214yesmaximal, complemented
10#25208C214yesmaximal, complemented
11#25086C214yesmaximal, complemented
12#25084C214yesmaximal, complemented
13#21930C211yesmaximal, characteristic, complemented
14C2×#1874C211yesmaximal, characteristic
15C2×#1872C211yesmaximal, characteristic, complemented
16C22×C22⋊Q8C2211yescharacteristic
17C22×C22⋊Q8C2211yescharacteristic
18C22×#121C2211yescharacteristic
19C22×C4×Q8C2211yescharacteristic, complemented
20C23×C4⋊C4C2211yescharacteristic
21#3189—28no—
22#3187—28no—
23C2×#484C2212yescomplemented
24C2×#484C2212yescomplemented
25C2×#481C2212yes—
26C2×#483C2212yes—
27C2×#467C2214yes—
28C2×#465C2214yes—
29C2×#464C2214yescomplemented
30C2×#451C2212yescomplemented
31C2×#451C2212yescomplemented
32C2×#448C2212yes—
33C2×#450C2212yes—
34C22×#103C2212yescomplemented
35C22×#102C2212yes—
36C22×C22⋊C8C2211yescharacteristic
37C22×C22⋊C8C2211yescharacteristic
38#2850C2212yes—
39#2850C2212yes—
40#2639—21no—
41#2639—21no—
42#2591—22no—
43#2561—22no—
44#2504C2212yes—
45#2503C2212yes—
46#2436C2212yes—
47#2435C2212yes—
48#2360—22no—
49#2360—22no—
50#2360C2214yes—
51#2360C2214yescomplemented
52#2308—21no—
53#2308—21no—
54C2×#391C2211yescharacteristic, complemented
55C2×#389—21no—
56C2×#389C2211yescharacteristic, complemented
57C2×#387—21no—
58C2×#385—21no—
59C2×C4×C4⋊C4C2211yescharacteristic, complemented
60C2×C4×C22⋊C4—21no—
61C2×C4×C22⋊C4C2211yescharacteristic
62#2085C2214yescomplemented
63#2074C2214yescomplemented
64#2067C2214yescomplemented
65#2066C2214yescomplemented
66#2056C2214yescomplemented
67#2055C2214yescomplemented
68#2042C2214yescomplemented
69#2015C2214yescomplemented
70#1983C2214yescomplemented
71#1949C2214yescomplemented
72#1927C2214yescomplemented
73#1925C2214yescomplemented
74#1880C2214yescomplemented
75#1878C2214yescomplemented
76#1874C2212yes—
77#1874C2212yes—
78#1874C2214yes—
79#1872C2214yes—
80#1872C2212yescomplemented
81#1872C2212yescomplemented
82#1850C2214yes—
83#1850C2214yescomplemented
84#1805C2214yescomplemented
85#1797C2212yescomplemented
86#1797C2212yescomplemented
87C2×#340C2212yes—
88C2×#340C2212yescomplemented
89C23×Q8C2311yescharacteristic
90C23×Q8C2311yescharacteristic
91C23×D4—21no—
92C23×D4C2311yescharacteristic
93C24×C4—21no—
94C24×C4C2311yescharacteristic
95C22×Q16C2314yes—
96C22×SD16C2314yes—
97C23×C8C2312yes—
98C23×C8C2312yes—
99C2×#124C2312yes—
100C2×#124C2312yes—
101C2×C22⋊Q8—21no—
102C2×C22⋊Q8—21no—
103C2×C22⋊Q8—24no—
104C2×C22⋊Q8—21no—
105C2×C22⋊Q8—21no—
106C2×C22⋊Q8—24no—
107C2×C22⋊Q8—24no—
108C2×C22⋊Q8D418yes—
109C2×C22⋊Q8C2312yes—
110C2×C22⋊Q8C2312yes—
111C2×C22⋊Q8C2312yes—
112C2×C22⋊Q8C2312yes—
113C2×#121—21no—
114C2×#121—21no—
115C2×#121—24no—
116C2×#121—24no—
117C2×#121C2312yes—
118C2×#121C2312yes—
119C2×C4×Q8—22no—
120C2×C4×Q8—44no—
121C2×C4×Q8C2314yes—
122C22×C4⋊C4—21no—
123C22×C4⋊C4—21no—
124C22×C4⋊C4—21no—
125C22×C4⋊C4—21no—
126C22×C4⋊C4—21no—
127C22×C4⋊C4—21no—
128C22×C4⋊C4—21no—
129C22×C4⋊C4—44no—
130C22×C4⋊C4C2311yescharacteristic
131C22×C4⋊C4C2311yescharacteristic
132C22×C4⋊C4C2311yescharacteristic
133C22×C4⋊C4C2312yes—
134C22×C4⋊C4C2312yes—
135C22×C4⋊C4C2311yescharacteristic
136C22×C4⋊C4C2311yescharacteristic
137C22×C22⋊C4—21no—
138C22×C22⋊C4—21no—
139C22×C22⋊C4—21no—
140C22×C22⋊C4D411yescharacteristic
141C22×C22⋊C4D411yescharacteristic
142C22×C42—21no—
143C22×C42—21no—
144C22×C42C2311yescharacteristic
145C22×C42C2311yescharacteristic
146#484—28no—
147#484—28no—
148#483—28no—
149#481—28no—
150#467—216no—
151#465—216no—
152#464—48no—
153#451—28no—
154#451—28no—
155#450—28no—
156#448—28no—
157C2×#107C2314yes—
158C2×#106C2314yes—
159C2×C4⋊C8C2314yes—
160C2×C4⋊C8C2314yes—
161C2×#103—44no—
162C2×#103C2314yes—
163C2×#103C2314yes—
164C2×#103C2314yes—
165C2×#103C2314yes—
166C2×#103C2314yes—
167C2×#102—44no—
168C2×#102C2314yes—
169C2×#102C2314yes—
170C2×#102C2314yes—
171C2×C22⋊C8—24no—
172C2×C22⋊C8—24no—
173C2×C22⋊C8C2312yes—
174C2×C22⋊C8C2312yes—
175C2×C22⋊C8C2312yes—
176C2×C22⋊C8C2312yes—
177#400—22no—
178#400—22no—
179#397—22no—
180#397—22no—
181#394—22no—
182#394—22no—
183#393—22no—
184#393—22no—
185#391—22no—
186#391C2314yes—
187#391C2312yes—
188#391C2312yes—
189#390C2312yes—
190#390C2312yes—
191#389—22no—
192#389—24no—
193#389—24no—
194#389C2314yes—
195#388—22no—
196#388—22no—
197#388—22no—
198#388—22no—
199#387—24no—
200#387—24no—
201#386—22no—
202#386—22no—
203#386—22no—
204#386—22no—
205#386—22no—
206#386—22no—
207#386—22no—
208#386—22no—
209#385—24no—
210#385—24no—
211#382C2312yes—
212#382C2312yes—
213#381—22no—
214#381—22no—
215#379—22no—
216#379—22no—
217C4×C4⋊C4—22no—
218C4×C4⋊C4C2314yes—
219C4×C22⋊C4—24no—
220C4×C22⋊C4—24no—
221C4×C22⋊C4D412yes—
222C4×C22⋊C4D412yes—
223C4×C22⋊C4C2312yes—
224C4×C22⋊C4C2312yes—
225C2×#95—21no—
226C2×#95—21no—
227C2×#95—21no—
228C2×#95—21no—
229C2×#95D411yescharacteristic
230C2×#95D411yescharacteristic
231#340C2314yes—
232#340C2314yes—
233#340C2314yes—
234#340C2314yes—
235#336C2314yes—
236#336C2314yes—
237C25—21no—
238C25C2×D411yescharacteristic
239C22×Q8—21no—
240C22×Q8—21no—
241C22×Q8—22no—
242C22×Q8—22no—
243C22×Q8—22no—
244C22×Q8—42no—
245C22×Q8—42no—
246C22×Q8—42no—
247C22×Q8—42no—
248C22×Q8C2×D414yes—
249C22×Q8C2412yes—
250C22×Q8C2412yes—
251C22×D4—22no—
252C22×D4—22no—
253C22×D4—22no—
254C22×D4—21no—
255C22×D4—22no—
256C22×D4—42no—
257C22×D4—42no—
258C22×D4—44no—
259C22×D4—44no—
260C22×D4—44no—
261C22×D4C2412yes—
262C23×C4—21no—
263C23×C4—21no—
264C23×C4—21no—
265C23×C4—21no—
266C23×C4—21no—
267C23×C4—22no—
268C23×C4—22no—
269C23×C4—21no—
270C23×C4—21no—
271C23×C4—42no—
272C23×C4—42no—
273C23×C4—44no—
274C23×C4—44no—
275C23×C4—82no—
276C23×C4C2×D411yescharacteristic
277C23×C4C2×D411yescharacteristic
278C23×C4C2×D411yescharacteristic
279C23×C4C2×D411yescharacteristic
280C23×C4C2×D411yescharacteristic
281C23×C4C2×D411yescharacteristic
282C23×C4C2×D411yescharacteristic
283C23×C4C2×D414yes—
284C23×C4#4114yes—
285C23×C4C2411yescharacteristic
286C23×C4C2411yescharacteristic
287C23×C4C2411yescharacteristic
288C2×Q16—28no—
289C2×Q16—44no—
290C2×Q16—44no—
291C2×SD16—28no—
292C2×SD16—44no—
293C2×SD16—44no—
294C22×C8—24no—
295C22×C8—24no—
296C22×C8—42no—
297C22×C8—42no—
298C22×C8—42no—
299C22×C8—42no—
300C22×C8C2414yes—
301C22×C8C2414yes—
302#124—44no—
303#124—44no—
304C22⋊Q8—28no—
305C22⋊Q8—28no—
306C22⋊Q8—24no—
307C22⋊Q8—24no—
308C22⋊Q8—24no—
309C22⋊Q8—24no—
310C22⋊Q8—24no—
311C22⋊Q8—24no—
312C22⋊Q8—44no—
313C22⋊Q8—44no—
314C22⋊Q8C2×D418yes—
315C22⋊Q8C2×D418yes—
316#121—24no—
317#121—24no—
318#121—24no—
319#121—24no—
320#121—44no—
321#121—44no—
322C4×Q8—28no—
323C4×Q8—44no—
324C4×Q8—48no—
325C2×C4⋊C4—28no—
326C2×C4⋊C4—21no—
327C2×C4⋊C4—22no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—22no—
331C2×C4⋊C4—24no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—22no—
335C2×C4⋊C4—22no—
336C2×C4⋊C4—24no—
337C2×C4⋊C4—24no—
338C2×C4⋊C4—22no—
339C2×C4⋊C4—22no—
340C2×C4⋊C4—21no—
341C2×C4⋊C4—24no—
342C2×C4⋊C4—22no—
343C2×C4⋊C4—22no—
344C2×C4⋊C4—21no—
345C2×C4⋊C4—21no—
346C2×C4⋊C4—24no—
347C2×C4⋊C4—42no—
348C2×C4⋊C4—42no—
349C2×C4⋊C4—42no—
350C2×C4⋊C4—44no—
351C2×C4⋊C4—44no—
352C2×C4⋊C4—44no—
353C2×C4⋊C4—44no—
354C2×C4⋊C4—44no—
355C2×C4⋊C4—82no—
356C2×C4⋊C4C2×D414yes—
357C2×C4⋊C4C2412yes—
358C2×C4⋊C4C2412yes—
359C2×C4⋊C4C2412yes—
360C2×C4⋊C4C2412yes—
361C2×C4⋊C4C2412yes—
362C2×C22⋊C4—28no—
363C2×C22⋊C4—24no—
364C2×C22⋊C4—24no—
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—22no—
379C2×C22⋊C4—44no—
380C2×C22⋊C4—44no—
381C2×C22⋊C4C2×D412yes—
382C2×C22⋊C4C2×D412yes—
383C2×C22⋊C4C2×D412yes—
384C2×C22⋊C4C2×D412yes—
385C2×C42—24no—
386C2×C42—24no—
387C2×C42—42no—
388C2×C42—42no—
389C2×C42—44no—
390C2×C42—82no—
391C2×C42C2×D412yes—
392C2×C42C2×D412yes—
393C2×C42C2412yes—
394C2×C42C2412yes—
395#107—28no—
396#106—28no—
397C4⋊C8—44no—
398C4⋊C8—44no—
399#103—28no—
400#103—28no—
401#103—28no—
402#103—28no—
403#103—44no—
404#102—28no—
405#102—28no—
406#102—44no—
407C22⋊C8—24no—
408C22⋊C8—24no—
409C22⋊C8—24no—
410C22⋊C8—24no—
411#95—24no—
412#95—24no—
413#95—24no—
414#95—24no—
415#95—22no—
416#95—22no—
417#95—22no—
418#95—22no—
419#95—22no—
420#95—22no—
421#95—22no—
422#95—22no—
423#95C2×D412yes—
424#95C2×D412yes—
425#95C2×D412yes—
426#95C2×D412yes—
427C24—22no—
428C24—41no—
429C24—41no—
430C24—41no—
431C24—41no—
432C24—42no—
433C24—42no—
434C24—42no—
435C24—81no—
436C24—81no—
437C24—81no—
438C24—81no—
439C24#12114yes—
440C24#13514yes—
441C24#13714yes—
442C24C22×D411yescharacteristic
443C24C22×D411yescharacteristic
444C24C22×D411yescharacteristic
445C2×Q8—24no—
446C2×Q8—22no—
447C2×Q8—22no—
448C2×Q8—22no—
449C2×Q8—24no—
450C2×Q8—24no—
451C2×Q8—24no—
452C2×Q8—24no—
453C2×Q8—48no—
454C2×Q8—42no—
455C2×Q8—42no—
456C2×Q8—48no—
457C2×Q8—48no—
458C2×Q8—42no—
459C2×Q8—81no—
460C2×Q8—81no—
461C2×Q8—84no—
462C2×Q8C22×D414yes—
463C2×D4—22no—
464C2×D4—22no—
465C2×D4—24no—
466C2×D4—24no—
467C2×D4—48no—
468C2×D4—44no—
469C2×D4—44no—
470C2×D4—44no—
471C2×D4—44no—
472C2×D4—44no—
473C2×D4—44no—
474C2×D4—42no—
475C2×D4—84no—
476C2×D4—81no—
477C2×D4—81no—
478C2×D4—816no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—24no—
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—22no—
499C22×C4—48no—
500C22×C4—48no—
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—41no—
513C22×C4—41no—
514C22×C4—41no—
515C22×C4—44no—
516C22×C4—44no—
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—42no—
526C22×C4—42no—
527C22×C4—42no—
528C22×C4—44no—
529C22×C4—44no—
530C22×C4—42no—
531C22×C4—42no—
532C22×C4—42no—
533C22×C4—81no—
534C22×C4—81no—
535C22×C4—82no—
536C22×C4—82no—
537C22×C4—81no—
538C22×C4—81no—
539C22×C4—816no—
540C22×C4#12114yes—
541C22×C4#12114yes—
542C22×C4#12114yes—
543C22×C4C22×D412yes—
544C22×C4C22×D412yes—
545C22×C4C22×D412yes—
546C22×C4C22×D412yes—
547C22×C4C22×D411yescharacteristic
548C22×C4C22×D411yescharacteristic
549C22×C4C22×D411yescharacteristic
550C22×C4C22×D412yes—
551C22×C4C22×D412yes—
552C22×C4C22×D412yes—
553C22×C4C2×#4112yes—
554C22×C4C2×#4112yes—
555C22×C4C2×#4112yes—
556C22×C4C2511yescharacteristic
557Q16—88no—
558SD16—88no—
559C2×C8—24no—
560C2×C8—24no—
561C2×C8—24no—
562C2×C8—24no—
563C2×C8—24no—
564C2×C8—24no—
565C2×C8—84no—
566C2×C8—84no—
567C4⋊C4—24no—
568C4⋊C4—28no—
569C4⋊C4—28no—
570C4⋊C4—24no—
571C4⋊C4—22no—
572C4⋊C4—22no—
573C4⋊C4—22no—
574C4⋊C4—22no—
575C4⋊C4—22no—
576C4⋊C4—22no—
577C4⋊C4—22no—
578C4⋊C4—22no—
579C4⋊C4—44no—
580C4⋊C4—44no—
581C4⋊C4—48no—
582C4⋊C4—42no—
583C4⋊C4—42no—
584C4⋊C4—42no—
585C4⋊C4—44no—
586C4⋊C4—44no—
587C4⋊C4—84no—
588C4⋊C4C22×D414yes—
589C4⋊C4H(5,𝔽2)14yes—
590C22⋊C4—28no—
591C22⋊C4—28no—
592C22⋊C4—24no—
593C22⋊C4—24no—
594C22⋊C4—24no—
595C22⋊C4—24no—
596C22⋊C4—44no—
597C22⋊C4—44no—
598C22⋊C4—44no—
599C22⋊C4—44no—
600C22⋊C4—82no—
601C22⋊C4—82no—
602C22⋊C4—82no—
603C22⋊C4—82no—
604C22⋊C4—82no—
605C22⋊C4—82no—
606C22⋊C4—82no—
607C22⋊C4—82no—
608C42—24no—
609C42—24no—
610C42—42no—
611C42—42no—
612C42—48no—
613C42—84no—
614C23—21no—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—21no—
621C23—21no—
622C23—21no—
623C23—21no—
624C23—21no—
625C23—21no—
626C23—44no—
627C23—44no—
628C23—44no—
629C23—44no—
630C23—44no—
631C23—44no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23—42no—
638C23—42no—
639C23—84no—
640C23—84no—
641C23—84no—
642C23—162no—
643C23—162no—
644C23—162no—
645C23—162no—
646C23#464116yescomplemented
647C23C2×#12112yes—
648C23C2×#12112yes—
649C23C2×#12112yes—
650C23C2×#13512yes—
651C23C2×#13512yes—
652C23C2×#13512yes—
653C23C2×#13712yes—
654C23C2×#13712yes—
655C23C2×#13712yes—
656C23C23×D411yescharacteristic
657Q8—28no—
658Q8—48no—
659Q8—44no—
660Q8—44no—
661Q8—44no—
662Q8—84no—
663D4—44no—
664D4—44no—
665D4—84no—
666D4—88no—
667D4—88no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—24no—
675C2×C4—24no—
676C2×C4—24no—
677C2×C4—24no—
678C2×C4—24no—
679C2×C4—24no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—24no—
685C2×C4—24no—
686C2×C4—22no—
687C2×C4—22no—
688C2×C4—24no—
689C2×C4—22no—
690C2×C4—22no—
691C2×C4—22no—
692C2×C4—22no—
693C2×C4—22no—
694C2×C4—22no—
695C2×C4—44no—
696C2×C4—44no—
697C2×C4—44no—
698C2×C4—48no—
699C2×C4—44no—
700C2×C4—44no—
701C2×C4—48no—
702C2×C4—48no—
703C2×C4—42no—
704C2×C4—42no—
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—42no—
715C2×C4—42no—
716C2×C4—42no—
717C2×C4—42no—
718C2×C4—42no—
719C2×C4—42no—
720C2×C4—42no—
721C2×C4—82no—
722C2×C4—82no—
723C2×C4—88no—
724C2×C4—88no—
725C2×C4—84no—
726C2×C4—84no—
727C2×C4—84no—
728C2×C4—84no—
729C2×C4C2×#12112yes—
730C2×C4C2×#12112yes—
731C2×C4C2×#12112yes—
732C2×C4C23×D411yescharacteristic
733C2×C4C22×#4111yescharacteristic
734C2×C4C2×H(5,𝔽2)12yes—
735C2×C4#58512yes—
736C8—44no—
737C8—44no—
738C22—22no—
739C22—22no—
740C22—22no—
741C22—22no—
742C22—22no—
743C22—22no—
744C22—22no—
745C22—22no—
746C22—22no—
747C22—22no—
748C22—22no—
749C22—22no—
750C22—22no—
751C22—22no—
752C22—22no—
753C22—22no—
754C22—22no—
755C22—22no—
756C22—416no—
757C22—82no—
758C22—82no—
759C22—82no—
760C22—82no—
761C22—82no—
762C22—82no—
763C22—82no—
764C22—168no—
765C22C2×#46414yes—
766C22C2×#46414yes—
767C22C2×#46414yes—
768C22C22×#12111yescharacteristic
769C22#348411yescharacteristic
770C22#348511yescharacteristic
771C22C22×#13511yescharacteristic
772C22C22×#13711yescharacteristic
773C22#358511yescharacteristic
774C22#358611yescharacteristic
775C4—22no—
776C4—22no—
777C4—22no—
778C4—42no—
779C4—44no—
780C4—42no—
781C4—42no—
782C4—44no—
783C4—42no—
784C4—44no—
785C4—82no—
786C4—82no—
787C4—82no—
788C4—82no—
789C4#345912yes—
790C4#349612yes—
791C2—24no—
792C2—24no—
793C2—24no—
794C2—162no—
795C2#3498411yescharacteristic
796C2C22×#46411yescharacteristic
797C2#6042511yescharacteristic
798C2#6156111yescharacteristic
799C2#6157411yescharacteristic
800C2#6169611yescharacteristic
801C2#6170911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC22×#121C22
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×#3189C2semidirect
4. C2×#2360C2semidirect
5. #33110C2semidirect
6. #32909C2semidirect
7. #29761C2semidirect
8. #29719C2semidirect
9. #25210C2semidirect
10. #25208C2semidirect
11. #25086C2semidirect
12. #25084C2semidirect
13. #21930C2semidirect
15. C2×#1872C2semidirect
19. C22×C4×Q8C22semidirect
23. C2×#484C22semidirect
24. C2×#484C22semidirect
29. C2×#464C22semidirect
30. C2×#451C22semidirect
31. C2×#451C22semidirect
34. C22×#103C22semidirect
51. #2360C22semidirect
54. C2×#391C22semidirect
56. C2×#389C22semidirect
59. C2×C4×C4⋊C4C22semidirect
62. #2085C22semidirect
63. #2074C22semidirect
64. #2067C22semidirect
65. #2066C22semidirect
66. #2056C22semidirect
67. #2055C22semidirect
68. #2042C22semidirect
69. #2015C22semidirect
70. #1983C22semidirect
71. #1949C22semidirect
72. #1927C22semidirect
73. #1925C22semidirect
74. #1880C22semidirect
75. #1878C22semidirect
80. #1872C22semidirect
81. #1872C22semidirect
83. #1850C22semidirect
84. #1805C22semidirect
85. #1797C22semidirect
86. #1797C22semidirect
88. C2×#340C22semidirect
646. C23#464semidirect

Maximal subgroups

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

subgroupindex
C2×#31892
C2×#31872
#350192
C2×#23602
#331102
#329092
#297612
#297192
#252102
#252082
#250862
#250842
#219302
C2×#18742
C2×#18722