Finite Group Databasebeta

← #759497

Subgroups — #759497

Order 512.

4226 conjugacy classes of subgroups.

The subgroup lattice has 835 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2483C211yesmaximal, characteristic
2C22×#385C211yesmaximal, characteristic
3C2×#2280C211yesmaximal, characteristic
4C22×#381C211yesmaximal, characteristic
5#16396C214yesmaximal, complemented
6#15073C212yesmaximal, complemented
7#14935C212yesmaximal, complemented
8#14920C212yesmaximal, complemented
9#14919C212yesmaximal, complemented
10#14837C214yesmaximal, complemented
11#14127C211yesmaximal, characteristic
12#14044C212yesmaximal, complemented
13#13972C212yesmaximal, complemented
14#13962C212yesmaximal, complemented
15#13870C212yesmaximal, complemented
16#13869C211yesmaximal, characteristic
17#13869C211yesmaximal, characteristic
18C25×C4C2211yescharacteristic
19C22×#117C2212yes—
20C23×C4⋊C4C2211yescharacteristic
21C23×C4⋊C4C2211yescharacteristic
22C23×C22⋊C4C2211yescharacteristic
23C23×C22⋊C4C2211yescharacteristic
24C23×C22⋊C4C2211yescharacteristic
25C23×C22⋊C4C2211yescharacteristic
26#2483—28no—
27C2×#397C2214yes—
28C2×#385—28no—
29C2×#385C2212yes—
30C2×#385C2212yes—
31C2×#385C2212yes—
32C2×#385C2212yes—
33C2×#385C2212yes—
34C2×#385C2212yes—
35C2×#385C2212yes—
36C2×#385C2212yes—
37#2280—28no—
38C2×#381—28no—
39C2×#381C2212yes—
40C2×#381C2212yes—
41C2×#381C2212yes—
42C2×#381C2212yes—
43C2×#381C2212yes—
44C2×#381C2212yes—
45C2×#381C2212yes—
46C2×#381C2212yes—
47C2×#381C2212yes—
48C2×#380C2212yes—
49C2×#380C2212yes—
50C2×#379C2211yescharacteristic
51C2×#379C2211yescharacteristic
52C2×C4×C22⋊C4C2212yes—
53C2×C4×C22⋊C4C2212yes—
54C22×#95C2211yescharacteristic
55C22×#95C2211yescharacteristic
56C22×#95C2211yescharacteristic
57C22×#95C2211yescharacteristic
58C22×#95C2211yescharacteristic
59C22×#95C2211yescharacteristic
60#1445C2214yescomplemented
61#1443C2214yescomplemented
62#1443C2214yescomplemented
63#1442C2214yescomplemented
64#1442C2214yescomplemented
65#1442C2214yescomplemented
66#1441C2214yescomplemented
67#1441C2214yescomplemented
68#1441C2214yescomplemented
69#1441C2214yescomplemented
70#1441C2214yescomplemented
71#1441C2214yescomplemented
72#1440C2214yes—
73#1440C2214yes—
74#1439C2214yes—
75#1436C2214yescomplemented
76#1436C2214yescomplemented
77C4⋊#95C2214yescomplemented
78#1434C2214yescomplemented
79C22⋊#95C2212yes—
80C22⋊#95C2212yes—
81C22⋊#95C2212yes—
82C22⋊#95C2212yes—
83C22⋊#95C2212yes—
84C22⋊#95C2212yes—
85C22⋊#95C2212yes—
86C22⋊#95C2212yes—
87C26C2311yescharacteristic
88C24×C4—24no—
89C24×C4—24no—
90C24×C4—28no—
91C24×C4—44no—
92C24×C4D418yes—
93C24×C4C2311yescharacteristic
94C24×C4C2311yescharacteristic
95C24×C4C2311yescharacteristic
96C24×C4C2311yescharacteristic
97C24×C4C2311yescharacteristic
98C24×C4C2311yescharacteristic
99C24×C4C2311yescharacteristic
100C24×C4C2311yescharacteristic
101C24×C4C2311yescharacteristic
102C24×C4C2311yescharacteristic
103C24×C4C2311yescharacteristic
104C24×C4C2311yescharacteristic
105C24×C4C2311yescharacteristic
106C24×C4C2311yescharacteristic
107C2×#117—28no—
108C2×#117—28no—
109C2×#117—44no—
110C22×C4⋊C4—24no—
111C22×C4⋊C4—24no—
112C22×C4⋊C4—28no—
113C22×C4⋊C4—44no—
114C22×C4⋊C4C2312yes—
115C22×C4⋊C4C2312yes—
116C22×C4⋊C4C2314yes—
117C22×C4⋊C4C2314yes—
118C22×C4⋊C4C2312yes—
119C22×C4⋊C4C2312yes—
120C22×C4⋊C4C2314yes—
121C22×C22⋊C4—24no—
122C22×C22⋊C4—28no—
123C22×C22⋊C4—24no—
124C22×C22⋊C4—24no—
125C22×C22⋊C4—24no—
126C22×C22⋊C4—24no—
127C22×C22⋊C4—24no—
128C22×C22⋊C4—24no—
129C22×C22⋊C4—24no—
130C22×C22⋊C4—44no—
131C22×C22⋊C4C2312yes—
132C22×C22⋊C4C2312yes—
133C22×C22⋊C4C2312yes—
134C22×C22⋊C4C2312yes—
135C22×C22⋊C4C2312yes—
136C22×C22⋊C4C2312yes—
137C22×C22⋊C4C2312yes—
138C22×C22⋊C4C2312yes—
139C22×C22⋊C4C2312yes—
140C22×C22⋊C4C2312yes—
141C22×C22⋊C4C2312yes—
142C22×C22⋊C4C2312yes—
143C22×C22⋊C4C2312yes—
144C22×C22⋊C4C2312yes—
145C22×C42C2314yes—
146#397—216no—
147#385—28no—
148#385—28no—
149#385—28no—
150#385—28no—
151#385—28no—
152#385—28no—
153#385—28no—
154#385—44no—
155#381—28no—
156#381—28no—
157#381—28no—
158#381—28no—
159#381—28no—
160#381—28no—
161#381—28no—
162#381—28no—
163#381—44no—
164#380—28no—
165#380—28no—
166#379—24no—
167#379D418yes—
168C4×C22⋊C4—28no—
169C4×C22⋊C4—28no—
170C2×#95—24no—
171C2×#95—24no—
172C2×#95—24no—
173C2×#95—24no—
174C2×#95—24no—
175C2×#95—24no—
176C2×#95C2314yes—
177C2×#95C2314yes—
178C2×#95C2314yes—
179C2×#95C2314yes—
180C2×#95C2314yes—
181C2×#95C2314yes—
182C2×#95C2312yes—
183C2×#95C2312yes—
184C2×#95C2312yes—
185C2×#95C2312yes—
186C2×#95C2312yes—
187C2×#95C2312yes—
188C2×#95C2312yes—
189C2×#95C2312yes—
190C2×#95C2314yes—
191C2×#95C2314yes—
192C2×#95C2312yes—
193C2×#95C2312yes—
194C2×#95C2312yes—
195C2×#95C2312yes—
196C2×#95C2314yes—
197C2×#95C2314yes—
198C2×#95C2314yes—
199C2×#95C2314yes—
200C2×#95C2314yes—
201C2×#95C2314yes—
202C2×#95C2314yes—
203C2×#95C2314yes—
204C25—24no—
205C25—24no—
206C25—24no—
207C25—24no—
208C25—42no—
209C25—42no—
210C25C2×D414yes—
211C25C2×D414yes—
212C25#4114yes—
213C25C2411yescharacteristic
214C25C2411yescharacteristic
215C25C2411yescharacteristic
216C23×C4—22no—
217C23×C4—22no—
218C23×C4—24no—
219C23×C4—232no—
220C23×C4—22no—
221C23×C4—22no—
222C23×C4—22no—
223C23×C4—22no—
224C23×C4—22no—
225C23×C4—22no—
226C23×C4—22no—
227C23×C4—22no—
228C23×C4—22no—
229C23×C4—22no—
230C23×C4—22no—
231C23×C4—22no—
232C23×C4—24no—
233C23×C4—24no—
234C23×C4—232no—
235C23×C4—24no—
236C23×C4—24no—
237C23×C4—24no—
238C23×C4—24no—
239C23×C4—24no—
240C23×C4—24no—
241C23×C4—22no—
242C23×C4—22no—
243C23×C4—22no—
244C23×C4—22no—
245C23×C4—22no—
246C23×C4—22no—
247C23×C4—22no—
248C23×C4—22no—
249C23×C4—22no—
250C23×C4—22no—
251C23×C4—24no—
252C23×C4—24no—
253C23×C4—24no—
254C23×C4—24no—
255C23×C4—24no—
256C23×C4—24no—
257C23×C4—22no—
258C23×C4—22no—
259C23×C4—22no—
260C23×C4—22no—
261C23×C4—24no—
262C23×C4—24no—
263C23×C4—416no—
264C23×C4—42no—
265C23×C4—42no—
266C23×C4—42no—
267C23×C4—42no—
268C23×C4—42no—
269C23×C4—42no—
270C23×C4—42no—
271C23×C4—42no—
272C23×C4—42no—
273C23×C4—42no—
274C23×C4—42no—
275C23×C4—42no—
276C23×C4—42no—
277C23×C4—42no—
278C23×C4—432no—
279C23×C4—432no—
280C23×C4C2×D414yes—
281C23×C4C2×D414yes—
282C23×C4C2×D414yes—
283C23×C4C2×D414yes—
284C23×C4C2×D414yes—
285C23×C4C2×D414yes—
286C23×C4#4118yes—
287C23×C4C2414yes—
288C23×C4C2412yes—
289C23×C4C2412yes—
290C23×C4C2412yes—
291C23×C4C2412yes—
292C23×C4C2412yes—
293C23×C4C2412yes—
294C23×C4C2414yes—
295C23×C4C2411yescharacteristic
296C23×C4C2411yescharacteristic
297C23×C4C2412yes—
298C23×C4C2412yes—
299C23×C4C2411yescharacteristic
300C23×C4C2411yescharacteristic
301#117—432no—
302C2×C4⋊C4—24no—
303C2×C4⋊C4—24no—
304C2×C4⋊C4—24no—
305C2×C4⋊C4—24no—
306C2×C4⋊C4—28no—
307C2×C4⋊C4—28no—
308C2×C4⋊C4—28no—
309C2×C4⋊C4—28no—
310C2×C4⋊C4—28no—
311C2×C4⋊C4—28no—
312C2×C4⋊C4—44no—
313C2×C4⋊C4—44no—
314C2×C4⋊C4—44no—
315C2×C4⋊C4—416no—
316C2×C4⋊C4—416no—
317C2×C4⋊C4—44no—
318C2×C4⋊C4—44no—
319C2×C4⋊C4—44no—
320C2×C4⋊C4—44no—
321C2×C22⋊C4—232no—
322C2×C22⋊C4—24no—
323C2×C22⋊C4—24no—
324C2×C22⋊C4—24no—
325C2×C22⋊C4—24no—
326C2×C22⋊C4—24no—
327C2×C22⋊C4—24no—
328C2×C22⋊C4—24no—
329C2×C22⋊C4—24no—
330C2×C22⋊C4—24no—
331C2×C22⋊C4—24no—
332C2×C22⋊C4—24no—
333C2×C22⋊C4—24no—
334C2×C22⋊C4—24no—
335C2×C22⋊C4—24no—
336C2×C22⋊C4—24no—
337C2×C22⋊C4—24no—
338C2×C22⋊C4—24no—
339C2×C22⋊C4—24no—
340C2×C22⋊C4—24no—
341C2×C22⋊C4—24no—
342C2×C22⋊C4—24no—
343C2×C22⋊C4—24no—
344C2×C22⋊C4—24no—
345C2×C22⋊C4—24no—
346C2×C22⋊C4—24no—
347C2×C22⋊C4—24no—
348C2×C22⋊C4—24no—
349C2×C22⋊C4—24no—
350C2×C22⋊C4—24no—
351C2×C22⋊C4—24no—
352C2×C22⋊C4—24no—
353C2×C22⋊C4—24no—
354C2×C22⋊C4—42no—
355C2×C22⋊C4—42no—
356C2×C22⋊C4—42no—
357C2×C22⋊C4—42no—
358C2×C22⋊C4—42no—
359C2×C22⋊C4—42no—
360C2×C22⋊C4—416no—
361C2×C22⋊C4—416no—
362C2×C22⋊C4—416no—
363C2×C22⋊C4C2×D418yes—
364C2×C22⋊C4C2×D418yes—
365C2×C22⋊C4C2×D418yes—
366C2×C22⋊C4#4118yes—
367C2×C42—28no—
368C2×C42—28no—
369C2×C42—44no—
370#95—24no—
371#95—24no—
372#95—24no—
373#95—24no—
374#95—24no—
375#95—24no—
376#95—24no—
377#95—24no—
378#95—24no—
379#95—24no—
380#95—24no—
381#95—24no—
382#95—28no—
383#95—28no—
384#95—28no—
385#95—28no—
386#95—28no—
387#95—28no—
388#95—28no—
389#95—28no—
390#95—44no—
391#95—44no—
392#95—44no—
393#95—44no—
394#95—44no—
395#95—44no—
396#95—44no—
397#95—44no—
398C24—22no—
399C24—22no—
400C24—22no—
401C24—22no—
402C24—22no—
403C24—22no—
404C24—22no—
405C24—22no—
406C24—28no—
407C24—28no—
408C24—28no—
409C24—28no—
410C24—216no—
411C24—216no—
412C24—216no—
413C24—216no—
414C24—22no—
415C24—22no—
416C24—22no—
417C24—22no—
418C24—22no—
419C24—22no—
420C24—44no—
421C24—44no—
422C24—48no—
423C24—48no—
424C24—416no—
425C24—416no—
426C24—416no—
427C24—416no—
428C24#121116yes—
429C24C22×D412yes—
430C24C22×D412yes—
431C24C22×D412yes—
432C24C22×D412yes—
433C24C22×D412yes—
434C24C22×D412yes—
435C24C2×#4112yes—
436C24C2×#4112yes—
437C24C2×#4112yes—
438C24C2×#4114yes—
439C24C2×#4114yes—
440C24H(5,𝔽2)14yes—
441C242−1+414yes—
442C24C2511yescharacteristic
443C22×C4—28no—
444C22×C4—28no—
445C22×C4—216no—
446C22×C4—216no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—28no—
454C22×C4—28no—
455C22×C4—28no—
456C22×C4—28no—
457C22×C4—28no—
458C22×C4—28no—
459C22×C4—28no—
460C22×C4—28no—
461C22×C4—28no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—24no—
467C22×C4—24no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—24no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—28no—
485C22×C4—28no—
486C22×C4—28no—
487C22×C4—28no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—24no—
496C22×C4—22no—
497C22×C4—22no—
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—22no—
507C22×C4—24no—
508C22×C4—24no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—24no—
513C22×C4—22no—
514C22×C4—24no—
515C22×C4—24no—
516C22×C4—24no—
517C22×C4—24no—
518C22×C4—24no—
519C22×C4—24no—
520C22×C4—24no—
521C22×C4—24no—
522C22×C4—24no—
523C22×C4—24no—
524C22×C4—24no—
525C22×C4—44no—
526C22×C4—44no—
527C22×C4—44no—
528C22×C4—44no—
529C22×C4—416no—
530C22×C4—416no—
531C22×C4—4128no—
532C22×C4—48no—
533C22×C4—48no—
534C22×C4—48no—
535C22×C4—48no—
536C22×C4—48no—
537C22×C4—48no—
538C22×C4—48no—
539C22×C4—48no—
540C22×C4—44no—
541C22×C4—44no—
542C22×C4—44no—
543C22×C4—44no—
544C22×C4—48no—
545C22×C4—48no—
546C22×C4—44no—
547C22×C4—44no—
548C22×C4—44no—
549C22×C4—44no—
550C22×C4—44no—
551C22×C4—44no—
552C22×C4—44no—
553C22×C4—44no—
554C22×C4—44no—
555C22×C4—44no—
556C22×C4—44no—
557C22×C4—44no—
558C22×C4—44no—
559C22×C4—44no—
560C22×C4—44no—
561C22×C4—44no—
562C22×C4—44no—
563C22×C4—44no—
564C22×C4—48no—
565C22×C4—48no—
566C22×C4—48no—
567C22×C4—48no—
568C22×C4—84no—
569C22×C4—84no—
570C22×C4—84no—
571C22×C4—84no—
572C22×C4—88no—
573C22×C4—88no—
574C22×C4#123116yes—
575C22×C4C22×D412yes—
576C22×C4C22×D412yes—
577C22×C4C22×D418yes—
578C22×C4C22×D412yes—
579C22×C4C22×D412yes—
580C22×C4C2×#4114yes—
581C22×C4C2×#4114yes—
582C22×C4C2×#4114yes—
583C22×C4C2×#4114yes—
584C4⋊C4—416no—
585C4⋊C4—48no—
586C4⋊C4—48no—
587C4⋊C4—48no—
588C4⋊C4—48no—
589C4⋊C4—88no—
590C4⋊C4—88no—
591C22⋊C4—216no—
592C22⋊C4—216no—
593C22⋊C4—216no—
594C22⋊C4—216no—
595C22⋊C4—48no—
596C22⋊C4—48no—
597C22⋊C4—48no—
598C22⋊C4—48no—
599C22⋊C4—48no—
600C22⋊C4—48no—
601C22⋊C4—48no—
602C22⋊C4—48no—
603C22⋊C4—48no—
604C22⋊C4—48no—
605C42—416no—
606C23—22no—
607C23—22no—
608C23—22no—
609C23—22no—
610C23—22no—
611C23—22no—
612C23—22no—
613C23—22no—
614C23—24no—
615C23—24no—
616C23—24no—
617C23—24no—
618C23—28no—
619C23—28no—
620C23—24no—
621C23—24no—
622C23—24no—
623C23—24no—
624C23—28no—
625C23—28no—
626C23—28no—
627C23—28no—
628C23—28no—
629C23—28no—
630C23—22no—
631C23—22no—
632C23—232no—
633C23—232no—
634C23—22no—
635C23—22no—
636C23—22no—
637C23—22no—
638C23—24no—
639C23—24no—
640C23—24no—
641C23—24no—
642C23—24no—
643C23—24no—
644C23—416no—
645C23—464no—
646C23—416no—
647C23—464no—
648C23—416no—
649C23—416no—
650C23—416no—
651C23—44no—
652C23—44no—
653C23—44no—
654C23—44no—
655C23C2×#12114yes—
656C23C2×#12114yes—
657C23C2×#12114yes—
658C23C2×#12314yes—
659C23#52514yes—
660C23#53414yes—
661C23#53614yes—
662C23#54618yes—
663C23#54718yes—
664C23#55118yes—
665C23#55218yes—
666C23C23×D411yescharacteristic
667C23C23×D411yescharacteristic
668C23C22×#4111yescharacteristic
669C23C22×#4112yes—
670C23C22×#4112yes—
671C23C2×H(5,𝔽2)12yes—
672C23C2×2−1+412yes—
673C23#58512yes—
674C23#58512yes—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—232no—
678C2×C4—22no—
679C2×C4—22no—
680C2×C4—24no—
681C2×C4—24no—
682C2×C4—24no—
683C2×C4—24no—
684C2×C4—22no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—22no—
688C2×C4—24no—
689C2×C4—24no—
690C2×C4—22no—
691C2×C4—22no—
692C2×C4—28no—
693C2×C4—28no—
694C2×C4—28no—
695C2×C4—28no—
696C2×C4—28no—
697C2×C4—416no—
698C2×C4—416no—
699C2×C4—416no—
700C2×C4—416no—
701C2×C4—416no—
702C2×C4—416no—
703C2×C4—42no—
704C2×C4—416no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—44no—
713C2×C4—44no—
714C2×C4—44no—
715C2×C4—44no—
716C2×C4—44no—
717C2×C4—44no—
718C2×C4—42no—
719C2×C4—42no—
720C2×C4—42no—
721C2×C4—42no—
722C2×C4—42no—
723C2×C4—42no—
724C2×C4—42no—
725C2×C4—42no—
726C2×C4—42no—
727C2×C4—42no—
728C2×C4—42no—
729C2×C4—42no—
730C2×C4—42no—
731C2×C4—42no—
732C2×C4—42no—
733C2×C4—42no—
734C2×C4—42no—
735C2×C4—42no—
736C2×C4—44no—
737C2×C4—44no—
738C2×C4—44no—
739C2×C4—44no—
740C2×C4—44no—
741C2×C4—44no—
742C2×C4—44no—
743C2×C4—44no—
744C2×C4—44no—
745C2×C4—44no—
746C2×C4—44no—
747C2×C4—44no—
748C2×C4—44no—
749C2×C4—44no—
750C2×C4—44no—
751C2×C4—44no—
752C2×C4—44no—
753C2×C4—44no—
754C2×C4—44no—
755C2×C4—88no—
756C2×C4—88no—
757C2×C4—88no—
758C2×C4—88no—
759C2×C4—88no—
760C2×C4—88no—
761C2×C4C2×#12314yes—
762C2×C4C2×#12314yes—
763C22—24no—
764C22—24no—
765C22—216no—
766C22—216no—
767C22—24no—
768C22—24no—
769C22—24no—
770C22—216no—
771C22—216no—
772C22—24no—
773C22—24no—
774C22—24no—
775C22—24no—
776C22—24no—
777C22—24no—
778C22—24no—
779C22—24no—
780C22—24no—
781C22—24no—
782C22—464no—
783C22—48no—
784C22—42no—
785C22—48no—
786C22—42no—
787C22—42no—
788C22—42no—
789C22#241218yes—
790C22#241318yes—
791C22C22×#12111yescharacteristic
792C22C22×#12311yescharacteristic
793C22C2×#52511yescharacteristic
794C22C2×#53411yescharacteristic
795C22C2×#53611yescharacteristic
796C22#344911yescharacteristic
797C22#344911yescharacteristic
798C22C2×#54612yes—
799C22C2×#54712yes—
800C22C2×#55112yes—
801C22C2×#55212yes—
802C22#347514yes—
803C22#348512yes—
804C22#349112yes—
805C22#349514yes—
806C22#351314yes—
807C22#353514yes—
808C4—24no—
809C4—24no—
810C4—42no—
811C4—42no—
812C4—48no—
813C4—44no—
814C4—44no—
815C4—82no—
816C4—82no—
817C4—82no—
818C4—82no—
819C4—84no—
820C4—82no—
821C4—82no—
822C2—28no—
823C2—28no—
824C2—44no—
825C2C2×#241211yescharacteristic
826C2C2×#241311yescharacteristic
827C2#3480911yescharacteristic
828C2#3506211yescharacteristic
829C2#3508911yescharacteristic
830C2#3531111yescharacteristic
831C2#3744111yescharacteristic
832C2#5901014yes—
833C2#5919614yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC26C23
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
5. #16396C2semidirect
6. #15073C2semidirect
7. #14935C2semidirect
8. #14920C2semidirect
9. #14919C2semidirect
10. #14837C2semidirect
12. #14044C2semidirect
13. #13972C2semidirect
14. #13962C2semidirect
15. #13870C2semidirect
60. #1445C22semidirect
61. #1443C22semidirect
62. #1443C22semidirect
63. #1442C22semidirect
64. #1442C22semidirect
65. #1442C22semidirect
66. #1441C22semidirect
67. #1441C22semidirect
68. #1441C22semidirect
69. #1441C22semidirect
70. #1441C22semidirect
71. #1441C22semidirect
75. #1436C22semidirect
76. #1436C22semidirect
77. C4⋊#95C22semidirect
78. #1434C22semidirect

Maximal subgroups

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

subgroupindex
C2×#24832
C22×#3852
C2×#22802
C22×#3812
#163962
#150732
#149352
#149202
#149192
#148372
#141272
#140442
#139722
#139622
#138702
#138692