Finite Group Databasebeta

← #554234

Subgroups — #554234

Order 512.

4838 conjugacy classes of subgroups.

The subgroup lattice has 814 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2404C211yesmaximal, characteristic
2C2×#2311C211yesmaximal, characteristic, complemented
3C22×#385C211yesmaximal, characteristic, complemented
4#14694C212yesmaximal, complemented
5#14553C214yesmaximal, complemented
6#14534C214yesmaximal, complemented
7#14407C214yesmaximal, complemented
8#14391C214yesmaximal, complemented
9#14259C212yesmaximal, complemented
10#14128C211yesmaximal, characteristic, complemented
11#14019C212yesmaximal, complemented
12#13995C212yesmaximal, complemented
13#13956C211yesmaximal, characteristic, complemented
14#13868C211yesmaximal, characteristic, complemented
15#13776C211yesmaximal, characteristic, complemented
16C23×#41C2211yescharacteristic
17C25×C4C2211yescharacteristic
18C22×#120C2212yes—
19C22×#117C2211yescharacteristic
20C23×C4⋊C4C2211yescharacteristic
21C23×C4⋊C4C2211yescharacteristic
22C23×C22⋊C4C2211yescharacteristic
23C23×C22⋊C4C2211yescharacteristic
24#2404C4116yescomplemented
25C2×#393C2212yes—
26C2×#392C2212yes—
27#2311—28no—
28C2×#391C2212yescomplemented
29C2×#390C2214yes—
30C2×#390C2212yescomplemented
31C2×#388C2214yescomplemented
32C2×#386C2212yes—
33C2×#386C2212yes—
34C2×#386C2214yes—
35C2×#386C2214yes—
36C2×#386C2212yes—
37C2×#386C2212yes—
38C2×#386C2214yes—
39C2×#386C2212yes—
40C2×#385—28no—
41C2×#385C2214yes—
42C2×#385C2214yes—
43C2×#385C2212yes—
44C2×#381C2211yescharacteristic
45C2×#381C2211yescharacteristic
46C2×#380C2212yescomplemented
47C2×#380C2212yescomplemented
48C2×#379C2212yes—
49C2×C4×C22⋊C4C2212yes—
50C22×#95C2211yescharacteristic
51C22×#95C2211yescharacteristic
52#1446C2212yescomplemented
53#1444C2212yescomplemented
54#1443C2214yescomplemented
55#1442C2212yescomplemented
56#1442C2214yescomplemented
57#1442C2214yescomplemented
58#1440C2214yescomplemented
59#1439C2212yes—
60#1439C2212yes—
61#1439C2214yes—
62#1439C2214yescomplemented
63#1439C2214yescomplemented
64#1438C2214yes—
65#1438C2212yescomplemented
66#1437C2214yes—
67#1437C2214yes—
68#1436C2214yescomplemented
69#1436C2214yescomplemented
70#1436C2214yescomplemented
71#1436C2214yescomplemented
72C22⋊#95C2212yes—
73C22⋊#95C2212yes—
74C22⋊#95C2214yes—
75C22⋊#95C2214yes—
76C22⋊#95C2212yes—
77C22⋊#95C2214yescomplemented
78C26C2311yescharacteristic
79C22×#41—24no—
80C22×#41—24no—
81C22×#41—44no—
82C22×#41—44no—
83C22×#41C2×C418yescomplemented
84C23×Q8C2311yescharacteristic
85C23×D4C2312yes—
86C23×D4C2314yes—
87C23×D4C2311yescharacteristic
88C24×C4—24no—
89C24×C4—44no—
90C24×C4—44no—
91C24×C4—44no—
92C24×C4C2311yescharacteristic
93C24×C4C2311yescharacteristic
94C24×C4C2314yes—
95C24×C4C2311yescharacteristic
96C24×C4C2311yescharacteristic
97C24×C4C2312yes—
98C24×C4C2311yescharacteristic
99C24×C4C2311yescharacteristic
100C2×#120—44no—
101C2×#120—44no—
102C2×#120C2×C4116yes—
103C2×#117—24no—
104C2×#117—44no—
105C22×C4⋊C4—24no—
106C22×C4⋊C4—44no—
107C22×C4⋊C4—44no—
108C22×C4⋊C4D418yescomplemented
109C22×C4⋊C4C2314yes—
110C22×C4⋊C4C2311yescharacteristic
111C22×C4⋊C4C2311yescharacteristic
112C22×C4⋊C4C2314yes—
113C22×C4⋊C4C2312yes—
114C22×C4⋊C4C2312yes—
115C22×C22⋊C4—24no—
116C22×C22⋊C4—24no—
117C22×C22⋊C4—24no—
118C22×C22⋊C4—44no—
119C22×C22⋊C4C2×C418yes—
120C22×C22⋊C4C2312yes—
121C22×C22⋊C4C2312yes—
122C22×C22⋊C4C2314yes—
123C22×C22⋊C4C2312yes—
124C22×C22⋊C4C2312yes—
125C22×C22⋊C4C2312yes—
126C22×C22⋊C4C2314yes—
127C22×C22⋊C4C2314yes—
128C22×C22⋊C4C2314yes—
129C22×C22⋊C4C2312yes—
130C22×C22⋊C4C2312yes—
131C22×C22⋊C4C2312yes—
132C22×C22⋊C4C2312yes—
133C22×C22⋊C4C2314yes—
134C22×C22⋊C4C2314yes—
135C22×C22⋊C4C2314yes—
136C22×C42C2312yes—
137C22×C42C2314yes—
138#393C2×C4116yescomplemented
139#392C2×C4116yescomplemented
140#391—28no—
141#390—28no—
142#390—48no—
143#388—48no—
144#386—28no—
145#386—28no—
146#386—48no—
147#386—44no—
148#386—44no—
149#386—48no—
150#386C2×C4132yescomplemented
151#386C2×C4116yescomplemented
152#385—216no—
153#385—216no—
154#385—44no—
155#381—24no—
156#381C2×C418yescomplemented
157#380—28no—
158#380—28no—
159#379—44no—
160C4×C22⋊C4—44no—
161C2×#95—24no—
162C2×#95—24no—
163C2×#95C2314yes—
164C2×#95C2312yes—
165C2×#95C2312yes—
166C2×#95C2312yes—
167C2×#95C2312yes—
168C2×#95C2312yes—
169C2×#95C2312yes—
170C2×#95C2312yes—
171C2×#95C2312yes—
172C2×#95C2314yes—
173C2×#95C2314yes—
174C2×#95C2314yes—
175C2×#95C2314yes—
176C2×#95C2314yes—
177C2×#95C2314yes—
178C2×#95C2314yes—
179C2×#95C2314yes—
180C2×#95C2314yes—
181C2×#95C2314yes—
182C2×#95C2312yes—
183C2×#95C2314yes—
184C2×#95C2312yes—
185C25—22no—
186C25—22no—
187C25—24no—
188C25—24no—
189C25—24no—
190C25—24no—
191C25—42no—
192C25—42no—
193C25C22×C414yes—
194C25C2412yes—
195C25C2412yes—
196C25C2411yescharacteristic
197C2×#41—232no—
198C2×#41—432no—
199C2×#41—416no—
200C2×#41—416no—
201C2×#41—432no—
202C22×Q8—22no—
203C22×Q8—22no—
204C22×Q8—42no—
205C22×Q8—42no—
206C22×Q8C22×C414yescomplemented
207C22×D4—24no—
208C22×D4—24no—
209C22×D4—24no—
210C22×D4—24no—
211C22×D4—24no—
212C22×D4—24no—
213C22×D4—28no—
214C22×D4—28no—
215C22×D4—22no—
216C22×D4—22no—
217C22×D4—42no—
218C22×D4—42no—
219C22×D4—44no—
220C22×D4—44no—
221C22×D4—44no—
222C22×D4—44no—
223C22×D4C22×C418yes—
224C22×D4C22×C4116yes—
225C22×D4C22×C414yescomplemented
226C23×C4—24no—
227C23×C4—24no—
228C23×C4—22no—
229C23×C4—22no—
230C23×C4—22no—
231C23×C4—24no—
232C23×C4—24no—
233C23×C4—24no—
234C23×C4—24no—
235C23×C4—24no—
236C23×C4—22no—
237C23×C4—28no—
238C23×C4—24no—
239C23×C4—24no—
240C23×C4—28no—
241C23×C4—28no—
242C23×C4—42no—
243C23×C4—42no—
244C23×C4—42no—
245C23×C4—42no—
246C23×C4—44no—
247C23×C4—44no—
248C23×C4—44no—
249C23×C4—44no—
250C23×C4—42no—
251C23×C4—42no—
252C23×C4—42no—
253C23×C4—42no—
254C23×C4—42no—
255C23×C4—42no—
256C23×C4—42no—
257C23×C4—42no—
258C23×C4—42no—
259C23×C4—416no—
260C23×C4—416no—
261C23×C4—416no—
262C23×C4—464no—
263C23×C4C22×C414yes—
264C23×C4C22×C414yes—
265C23×C4C22×C418yescomplemented
266C23×C4C2×D414yes—
267C23×C4C2×D414yes—
268C23×C4C2×D414yes—
269C23×C4#4114yes—
270C23×C4C2412yes—
271C23×C4C2412yes—
272C23×C4C2414yes—
273C23×C4C2412yes—
274C23×C4C2412yes—
275C23×C4C2414yes—
276C23×C4C2412yes—
277C23×C4C2412yes—
278C23×C4C2412yes—
279C23×C4C2412yes—
280C23×C4C2411yescharacteristic
281C23×C4C2411yescharacteristic
282#120—432no—
283#117—416no—
284C2×C4⋊C4—28no—
285C2×C4⋊C4—22no—
286C2×C4⋊C4—22no—
287C2×C4⋊C4—28no—
288C2×C4⋊C4—416no—
289C2×C4⋊C4—42no—
290C2×C4⋊C4—42no—
291C2×C4⋊C4—42no—
292C2×C4⋊C4—42no—
293C2×C4⋊C4—44no—
294C2×C4⋊C4—42no—
295C2×C4⋊C4—42no—
296C2×C4⋊C4—416no—
297C2×C4⋊C4—44no—
298C2×C4⋊C4—44no—
299C2×C4⋊C4—44no—
300C2×C4⋊C4C2×D418yes—
301C2×C4⋊C4C2×D418yes—
302C2×C22⋊C4—24no—
303C2×C22⋊C4—24no—
304C2×C22⋊C4—232no—
305C2×C22⋊C4—24no—
306C2×C22⋊C4—24no—
307C2×C22⋊C4—24no—
308C2×C22⋊C4—24no—
309C2×C22⋊C4—24no—
310C2×C22⋊C4—24no—
311C2×C22⋊C4—28no—
312C2×C22⋊C4—24no—
313C2×C22⋊C4—24no—
314C2×C22⋊C4—24no—
315C2×C22⋊C4—24no—
316C2×C22⋊C4—28no—
317C2×C22⋊C4—28no—
318C2×C22⋊C4—28no—
319C2×C22⋊C4—24no—
320C2×C22⋊C4—24no—
321C2×C22⋊C4—24no—
322C2×C22⋊C4—24no—
323C2×C22⋊C4—28no—
324C2×C22⋊C4—44no—
325C2×C22⋊C4—44no—
326C2×C22⋊C4—44no—
327C2×C22⋊C4—44no—
328C2×C22⋊C4—44no—
329C2×C22⋊C4—416no—
330C2×C22⋊C4—44no—
331C2×C22⋊C4—44no—
332C2×C22⋊C4—44no—
333C2×C22⋊C4—44no—
334C2×C22⋊C4—44no—
335C2×C22⋊C4—44no—
336C2×C22⋊C4—44no—
337C2×C22⋊C4—44no—
338C2×C22⋊C4—44no—
339C2×C22⋊C4—44no—
340C2×C22⋊C4—44no—
341C2×C22⋊C4—44no—
342C2×C22⋊C4—44no—
343C2×C22⋊C4C22×C418yes—
344C2×C22⋊C4C22×C418yes—
345C2×C22⋊C4C22×C418yes—
346C2×C22⋊C4C22×C4116yes—
347C2×C22⋊C4C22×C4116yescomplemented
348C2×C42—24no—
349C2×C42—42no—
350C2×C42—42no—
351C2×C42—44no—
352C2×C42—44no—
353C2×C42—44no—
354#95—28no—
355#95—24no—
356#95—24no—
357#95—24no—
358#95—24no—
359#95—24no—
360#95—24no—
361#95—24no—
362#95—24no—
363#95—28no—
364#95—44no—
365#95—44no—
366#95—44no—
367#95—44no—
368#95—44no—
369#95—44no—
370#95—44no—
371#95—44no—
372#95—44no—
373#95C22×C418yescomplemented
374#95C22×C418yescomplemented
375#95C22×C4116yescomplemented
376C24—22no—
377C24—22no—
378C24—22no—
379C24—22no—
380C24—28no—
381C24—28no—
382C24—216no—
383C24—28no—
384C24—216no—
385C24—22no—
386C24—22no—
387C24—24no—
388C24—22no—
389C24—24no—
390C24—24no—
391C24—22no—
392C24—24no—
393C24—216no—
394C24—22no—
395C24—22no—
396C24—24no—
397C24—24no—
398C24—22no—
399C24—22no—
400C24—22no—
401C24—22no—
402C24—24no—
403C24—24no—
404C24—48no—
405C24—416no—
406C24—416no—
407C24—416no—
408C24—416no—
409C24—44no—
410C24—44no—
411C24—48no—
412C24—44no—
413C24—44no—
414C24—48no—
415C24C23×C414yes—
416C24C23×C414yes—
417C24C23×C412yes—
418C24C22×D412yes—
419C24C2×#4112yes—
420C24H(5,𝔽2)14yes—
421C24H(5,𝔽2)14yes—
422C24H(5,𝔽2)14yes—
423C242−1+414yes—
424C24C2511yescharacteristic
425#41—4128no—
426C2×Q8—28no—
427C2×Q8—48no—
428C2×Q8—44no—
429C2×Q8—44no—
430C2×Q8—48no—
431C2×D4—216no—
432C2×D4—216no—
433C2×D4—216no—
434C2×D4—232no—
435C2×D4—28no—
436C2×D4—48no—
437C2×D4—44no—
438C2×D4—44no—
439C2×D4—48no—
440C2×D4—416no—
441C2×D4—416no—
442C2×D4—48no—
443C2×D4—48no—
444C2×D4—48no—
445C2×D4—48no—
446C2×D4—88no—
447C2×D4—88no—
448C2×D4—88no—
449C2×D4—88no—
450C22×C4—216no—
451C22×C4—28no—
452C22×C4—28no—
453C22×C4—216no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—28no—
459C22×C4—28no—
460C22×C4—28no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—24no—
467C22×C4—24no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—24no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—22no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—24no—
487C22×C4—24no—
488C22×C4—24no—
489C22×C4—28no—
490C22×C4—216no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—24no—
498C22×C4—22no—
499C22×C4—24no—
500C22×C4—24no—
501C22×C4—24no—
502C22×C4—24no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—24no—
507C22×C4—24no—
508C22×C4—24no—
509C22×C4—24no—
510C22×C4—24no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—44no—
514C22×C4—44no—
515C22×C4—48no—
516C22×C4—48no—
517C22×C4—48no—
518C22×C4—416no—
519C22×C4—44no—
520C22×C4—44no—
521C22×C4—416no—
522C22×C4—416no—
523C22×C4—416no—
524C22×C4—416no—
525C22×C4—416no—
526C22×C4—48no—
527C22×C4—48no—
528C22×C4—48no—
529C22×C4—48no—
530C22×C4—44no—
531C22×C4—44no—
532C22×C4—48no—
533C22×C4—44no—
534C22×C4—416no—
535C22×C4—416no—
536C22×C4—4128no—
537C22×C4—416no—
538C22×C4—44no—
539C22×C4—44no—
540C22×C4—44no—
541C22×C4—44no—
542C22×C4—88no—
543C22×C4—88no—
544C22×C4C4×D4116yes—
545C22×C4C23×C418yes—
546C22×C4C23×C414yes—
547C22×C4C23×C414yes—
548C22×C4C23×C412yes—
549C22×C4C23×C412yes—
550C22×C4C22×D414yes—
551C22×C4C22×D414yes—
552C22×C4C22×D412yes—
553C22×C4C22×D412yes—
554C22×C4C2×#4112yes—
555C22×C4C2×#4112yes—
556C22×C4H(5,𝔽2)14yes—
557C4⋊C4—48no—
558C4⋊C4—48no—
559C4⋊C4—416no—
560C4⋊C4—44no—
561C4⋊C4—44no—
562C4⋊C4—88no—
563C22⋊C4—216no—
564C22⋊C4—216no—
565C22⋊C4—216no—
566C22⋊C4—416no—
567C22⋊C4—416no—
568C22⋊C4—416no—
569C22⋊C4—48no—
570C22⋊C4—48no—
571C22⋊C4—84no—
572C22⋊C4—84no—
573C22⋊C4—84no—
574C22⋊C4—84no—
575C22⋊C4—88no—
576C22⋊C4—88no—
577C22⋊C4—88no—
578C22⋊C4—88no—
579C42—48no—
580C42—88no—
581C23—24no—
582C23—24no—
583C23—22no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—24no—
588C23—24no—
589C23—28no—
590C23—28no—
591C23—28no—
592C23—28no—
593C23—232no—
594C23—24no—
595C23—28no—
596C23—24no—
597C23—28no—
598C23—24no—
599C23—24no—
600C23—24no—
601C23—24no—
602C23—28no—
603C23—28no—
604C23—28no—
605C23—28no—
606C23—24no—
607C23—24no—
608C23—24no—
609C23—28no—
610C23—28no—
611C23—464no—
612C23—416no—
613C23—416no—
614C23—416no—
615C23—416no—
616C23—464no—
617C23—416no—
618C23—416no—
619C23—42no—
620C23—42no—
621C23—44no—
622C23—42no—
623C23—42no—
624C23—44no—
625C23—44no—
626C23—44no—
627C23—44no—
628C23—44no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23—44no—
638C23—44no—
639C23—44no—
640C23—44no—
641C23—44no—
642C23—44no—
643C23—44no—
644C23—44no—
645C23—44no—
646C23—44no—
647C23C2×C4×D414yes—
648C23#51818yes—
649C23#52018yes—
650C23#53414yes—
651C23#53514yes—
652C23#53818yes—
653C23C24×C411yescharacteristic
654C23C23×D411yescharacteristic
655C23C22×#4111yescharacteristic
656C23C2×H(5,𝔽2)12yes—
657C23C2×H(5,𝔽2)12yes—
658C23C2×H(5,𝔽2)12yes—
659C23C2×H(5,𝔽2)12yes—
660C23C2×2−1+412yes—
661C23#58512yes—
662Q8—416no—
663D4—416no—
664D4—432no—
665D4—832no—
666C2×C4—232no—
667C2×C4—24no—
668C2×C4—24no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—24no—
674C2×C4—24no—
675C2×C4—24no—
676C2×C4—24no—
677C2×C4—28no—
678C2×C4—24no—
679C2×C4—24no—
680C2×C4—28no—
681C2×C4—28no—
682C2×C4—28no—
683C2×C4—24no—
684C2×C4—24no—
685C2×C4—24no—
686C2×C4—24no—
687C2×C4—24no—
688C2×C4—24no—
689C2×C4—24no—
690C2×C4—28no—
691C2×C4—432no—
692C2×C4—416no—
693C2×C4—416no—
694C2×C4—416no—
695C2×C4—464no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—44no—
705C2×C4—44no—
706C2×C4—44no—
707C2×C4—44no—
708C2×C4—44no—
709C2×C4—44no—
710C2×C4—44no—
711C2×C4—44no—
712C2×C4—44no—
713C2×C4—44no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—42no—
717C2×C4—44no—
718C2×C4—42no—
719C2×C4—42no—
720C2×C4—42no—
721C2×C4—42no—
722C2×C4—42no—
723C2×C4—42no—
724C2×C4—44no—
725C2×C4—44no—
726C2×C4—44no—
727C2×C4—44no—
728C2×C4—44no—
729C2×C4—44no—
730C2×C4—44no—
731C2×C4—44no—
732C2×C4—44no—
733C2×C4—44no—
734C2×C4—44no—
735C2×C4—44no—
736C2×C4—88no—
737C2×C4—88no—
738C2×C4C2×C4×D414yes—
739C2×C4C2×C4×D414yes—
740C22—24no—
741C22—24no—
742C22—24no—
743C22—24no—
744C22—24no—
745C22—216no—
746C22—216no—
747C22—24no—
748C22—28no—
749C22—216no—
750C22—464no—
751C22—44no—
752C22—44no—
753C22—44no—
754C22—44no—
755C22—44no—
756C22—48no—
757C22—48no—
758C22—48no—
759C22—44no—
760C22—44no—
761C22—44no—
762C22—48no—
763C22—48no—
764C22—44no—
765C22—82no—
766C22—82no—
767C22—82no—
768C22—82no—
769C22—84no—
770C22—84no—
771C22#232118yes—
772C22C22×C4×D411yescharacteristic
773C22C2×#51812yes—
774C22C2×#52012yes—
775C22C4×H(5,𝔽2)12yes—
776C22C2×#53411yescharacteristic
777C22C2×#53511yescharacteristic
778C22C2×#53812yes—
779C22#348411yescharacteristic
780C22#348411yescharacteristic
781C22#348611yescharacteristic
782C22#348711yescharacteristic
783C22#349212yes—
784C22#350612yes—
785C22#353214yes—
786C22#353414yes—
787C22#353514yes—
788C22#353614yes—
789C4—24no—
790C4—24no—
791C4—44no—
792C4—44no—
793C4—44no—
794C4—44no—
795C4—48no—
796C4—44no—
797C4—82no—
798C4—82no—
799C4—82no—
800C4—84no—
801C2—28no—
802C2—48no—
803C2—84no—
804C2C2×#232111yescharacteristic
805C2#3420011yescharacteristic
806C2#3426511yescharacteristic
807C2#3445614yes—
808C2#3670211yescharacteristic
809C2#3670711yescharacteristic
810C2#3671011yescharacteristic
811C2#3679114yes—
812C2#3718611yescharacteristic
subgroupG/H
center, Frattini, socle, cosocleC24C25
commutatorC23C24×C4
prime radicalC2×#2404C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#2311C2semidirect
3. C22×#385C2semidirect
4. #14694C2semidirect
5. #14553C2semidirect
6. #14534C2semidirect
7. #14407C2semidirect
8. #14391C2semidirect
9. #14259C2semidirect
10. #14128C2semidirect
11. #14019C2semidirect
12. #13995C2semidirect
13. #13956C2semidirect
14. #13868C2semidirect
15. #13776C2semidirect
24. #2404C4semidirect
28. C2×#391C22semidirect
30. C2×#390C22semidirect
31. C2×#388C22semidirect
46. C2×#380C22semidirect
47. C2×#380C22semidirect
52. #1446C22semidirect
53. #1444C22semidirect
54. #1443C22semidirect
55. #1442C22semidirect
56. #1442C22semidirect
57. #1442C22semidirect
58. #1440C22semidirect
62. #1439C22semidirect
63. #1439C22semidirect
65. #1438C22semidirect
68. #1436C22semidirect
69. #1436C22semidirect
70. #1436C22semidirect
71. #1436C22semidirect
77. C22⋊#95C22semidirect
83. C22×#41C2×C4semidirect
108. C22×C4⋊C4D4semidirect
138. #393C2×C4semidirect
139. #392C2×C4semidirect
150. #386C2×C4semidirect
151. #386C2×C4semidirect
156. #381C2×C4semidirect
206. C22×Q8C22×C4semidirect
225. C22×D4C22×C4semidirect
265. C23×C4C22×C4semidirect
347. C2×C22⋊C4C22×C4semidirect
373. #95C22×C4semidirect
374. #95C22×C4semidirect
375. #95C22×C4semidirect

Maximal subgroups

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

subgroupindex
C2×#24042
C2×#23112
C22×#3852
#146942
#145532
#145342
#144072
#143912
#142592
#141282
#140192
#139952
#139562
#138682
#137762