Finite Group Databasebeta

← #765937

Subgroups — #765937

Order 512.

4402 conjugacy classes of subgroups.

The subgroup lattice has 838 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2484C211yesmaximal, characteristic, complemented
2C2×#2482C211yesmaximal, characteristic, complemented
3C2×#2406C211yesmaximal, characteristic, complemented
4C2×#2404C211yesmaximal, characteristic
5C22×#396C211yesmaximal, characteristic, complemented
6C2×#2311C211yesmaximal, characteristic, complemented
7#15825C214yesmaximal, complemented
8#15776C214yesmaximal, complemented
9#15526C214yesmaximal, complemented
10#15505C214yesmaximal, complemented
11#14911C212yesmaximal, complemented
12#14777C212yesmaximal, complemented
13#13996C212yesmaximal, complemented
14#13995C212yesmaximal, complemented
15#13776C211yesmaximal, characteristic, complemented
16C23×#41C2211yescharacteristic
17C22×#123C2212yes—
18C22×#120C2212yes—
19C22×#117C2211yescharacteristic
20C23×C4⋊C4C2211yescharacteristic
21C23×C4⋊C4C2211yescharacteristic
22C23×C4⋊C4C2211yescharacteristic
23C23×C22⋊C4C2211yescharacteristic
24C23×C22⋊C4C2211yescharacteristic
25C23×C22⋊C4C2211yescharacteristic
26#2484—28no—
27#2482—28no—
28#2406—28no—
29#2404—28no—
30C2×#400C2212yescomplemented
31C2×#399C2212yes—
32C2×#399C2214yescomplemented
33C2×#398C2212yescomplemented
34C2×#397C2212yes—
35C2×#396—28no—
36C2×#396C2214yes—
37C2×#396C2214yes—
38C2×#395C2212yescomplemented
39C2×#394C2212yescomplemented
40C2×#393C2212yes—
41C2×#392C2212yes—
42#2311—28no—
43C2×#391C2212yescomplemented
44C2×#390C2214yes—
45C2×#390C2212yescomplemented
46C2×#388C2214yes—
47C2×#387C2214yescomplemented
48C2×#386C2212yes—
49C2×#386C2214yes—
50C2×#386C2212yes—
51C2×#386C2212yes—
52C2×#386C2212yes—
53C2×#385C2212yes—
54C2×#385C2212yes—
55C2×#385C2214yescomplemented
56C2×#381C2212yes—
57C2×#381C2211yescharacteristic
58C2×#381C2211yescharacteristic
59C2×#380C2212yescomplemented
60C2×#380C2212yescomplemented
61C2×#379C2212yes—
62C2×C4×C22⋊C4C2212yes—
63C22×#95C2211yescharacteristic
64#1445C2214yescomplemented
65#1445C2214yescomplemented
66#1444C2214yescomplemented
67#1439C2214yes—
68#1439C2214yes—
69#1439C2214yes—
70#1439C2214yescomplemented
71#1439C2214yescomplemented
72#1438C2214yes—
73#1438C2214yes—
74#1438C2214yes—
75#1437C2214yes—
76#1437C2214yescomplemented
77#1436C2214yescomplemented
78#1436C2214yescomplemented
79C4⋊#95C2214yescomplemented
80C22⋊#95C2212yes—
81C26C2311yescharacteristic
82C22×#41—28no—
83C22×#41—24no—
84C22×#41—24no—
85C22×#41—24no—
86C22×#41—44no—
87C23×Q8C2311yescharacteristic
88C23×D4C2312yes—
89C23×D4C2311yescharacteristic
90C23×D4C2314yes—
91C24×C4C2311yescharacteristic
92C24×C4C2312yes—
93C24×C4C2311yescharacteristic
94C24×C4C2311yescharacteristic
95C24×C4C2311yescharacteristic
96C24×C4C2311yescharacteristic
97C24×C4C2311yescharacteristic
98C2×#123—28no—
99C2×#123—28no—
100C2×#123—44no—
101C2×#120—28no—
102C2×#120—28no—
103C2×#120—44no—
104C2×#117—24no—
105C2×#117—24no—
106C2×#117—24no—
107C22×C4⋊C4—24no—
108C22×C4⋊C4—24no—
109C22×C4⋊C4—24no—
110C22×C4⋊C4—24no—
111C22×C4⋊C4—44no—
112C22×C4⋊C4—44no—
113C22×C4⋊C4D418yescomplemented
114C22×C4⋊C4C2312yes—
115C22×C4⋊C4C2312yes—
116C22×C4⋊C4C2311yescharacteristic
117C22×C4⋊C4C2311yescharacteristic
118C22×C4⋊C4C2314yes—
119C22×C4⋊C4C2314yes—
120C22×C4⋊C4C2314yes—
121C22×C4⋊C4C2314yes—
122C22×C4⋊C4C2312yes—
123C22×C4⋊C4C2312yes—
124C22×C22⋊C4—24no—
125C22×C22⋊C4—24no—
126C22×C22⋊C4—24no—
127C22×C22⋊C4—24no—
128C22×C22⋊C4—24no—
129C22×C22⋊C4—44no—
130C22×C22⋊C4—44no—
131C22×C22⋊C4C2312yes—
132C22×C22⋊C4C2312yes—
133C22×C22⋊C4C2312yes—
134C22×C22⋊C4C2314yes—
135C22×C22⋊C4C2314yes—
136C22×C22⋊C4C2314yes—
137C22×C22⋊C4C2314yes—
138C22×C22⋊C4C2314yes—
139C22×C22⋊C4C2312yes—
140C22×C22⋊C4C2312yes—
141C22×C22⋊C4C2314yes—
142C22×C22⋊C4C2314yes—
143C22×C22⋊C4C2314yes—
144C22×C22⋊C4C2312yes—
145C22×C22⋊C4C2312yes—
146C22×C22⋊C4C2312yes—
147C22×C22⋊C4C2312yes—
148C22×C42C2312yes—
149C22×C42C2314yes—
150#400—28no—
151#399—28no—
152#399—48no—
153#398—28no—
154#397—28no—
155#396—216no—
156#396—216no—
157#395—28no—
158#394—28no—
159#393—28no—
160#392—28no—
161#391—28no—
162#390—28no—
163#390—48no—
164#388—216no—
165#387—216no—
166#386—28no—
167#386—28no—
168#386—28no—
169#386—28no—
170#386—216no—
171#385—28no—
172#385—28no—
173#385—216no—
174#381—28no—
175#381D418yes—
176#381D418yescomplemented
177#380—28no—
178#380—28no—
179#379—28no—
180C4×C22⋊C4—44no—
181C2×#95—24no—
182C2×#95C2314yes—
183C2×#95C2314yes—
184C2×#95C2314yes—
185C2×#95C2314yes—
186C2×#95C2314yes—
187C2×#95C2314yes—
188C2×#95C2314yes—
189C2×#95C2312yes—
190C2×#95C2312yes—
191C2×#95C2312yes—
192C2×#95C2312yes—
193C2×#95C2314yes—
194C2×#95C2314yes—
195C2×#95C2314yes—
196C2×#95C2312yes—
197C2×#95C2312yes—
198C2×#95C2312yes—
199C2×#95C2312yes—
200C25—22no—
201C25—24no—
202C25—22no—
203C25—22no—
204C25—24no—
205C25—24no—
206C25—42no—
207C25—42no—
208C25—42no—
209C25C2412yes—
210C25C2412yes—
211C25C2411yescharacteristic
212C2×#41—232no—
213C2×#41—432no—
214C2×#41—432no—
215C2×#41—416no—
216C2×#41—416no—
217C22×Q8—22no—
218C22×Q8—22no—
219C22×Q8—22no—
220C22×Q8—24no—
221C22×Q8—42no—
222C22×D4—24no—
223C22×D4—24no—
224C22×D4—24no—
225C22×D4—24no—
226C22×D4—24no—
227C22×D4—24no—
228C22×D4—24no—
229C22×D4—28no—
230C22×D4—28no—
231C22×D4—22no—
232C22×D4—22no—
233C22×D4—22no—
234C22×D4—28no—
235C22×D4—42no—
236C22×D4—44no—
237C22×D4—44no—
238C22×D4—44no—
239C22×D4—44no—
240C22×D4#4118yes—
241C23×C4—24no—
242C23×C4—24no—
243C23×C4—22no—
244C23×C4—24no—
245C23×C4—24no—
246C23×C4—24no—
247C23×C4—24no—
248C23×C4—24no—
249C23×C4—24no—
250C23×C4—22no—
251C23×C4—22no—
252C23×C4—22no—
253C23×C4—22no—
254C23×C4—22no—
255C23×C4—22no—
256C23×C4—24no—
257C23×C4—24no—
258C23×C4—22no—
259C23×C4—22no—
260C23×C4—24no—
261C23×C4—24no—
262C23×C4—42no—
263C23×C4—42no—
264C23×C4—42no—
265C23×C4—42no—
266C23×C4—42no—
267C23×C4—42no—
268C23×C4—42no—
269C23×C4—42no—
270C23×C4—42no—
271C23×C4C2×D414yes—
272C23×C4C2×D414yes—
273C23×C4C2×D414yes—
274C23×C4C2×D414yes—
275C23×C4C2×D414yes—
276C23×C4C2412yes—
277C23×C4C2412yes—
278C23×C4C2412yes—
279C23×C4C2412yes—
280C23×C4C2414yes—
281C23×C4C2412yes—
282C23×C4C2412yes—
283C23×C4C2414yes—
284C23×C4C2412yes—
285C23×C4C2412yes—
286C23×C4C2411yescharacteristic
287C23×C4C2411yescharacteristic
288#123—432no—
289#120—432no—
290#117—416no—
291C2×C4⋊C4—24no—
292C2×C4⋊C4—24no—
293C2×C4⋊C4—24no—
294C2×C4⋊C4—28no—
295C2×C4⋊C4—24no—
296C2×C4⋊C4—24no—
297C2×C4⋊C4—24no—
298C2×C4⋊C4—22no—
299C2×C4⋊C4—22no—
300C2×C4⋊C4—22no—
301C2×C4⋊C4—22no—
302C2×C4⋊C4—22no—
303C2×C4⋊C4—22no—
304C2×C4⋊C4—28no—
305C2×C4⋊C4—28no—
306C2×C4⋊C4—28no—
307C2×C4⋊C4—28no—
308C2×C4⋊C4—28no—
309C2×C4⋊C4—28no—
310C2×C4⋊C4—416no—
311C2×C4⋊C4—42no—
312C2×C4⋊C4—42no—
313C2×C4⋊C4—42no—
314C2×C4⋊C4—42no—
315C2×C4⋊C4—44no—
316C2×C4⋊C4—44no—
317C2×C4⋊C4—44no—
318C2×C4⋊C4—416no—
319C2×C4⋊C4—416no—
320C2×C4⋊C4—44no—
321C2×C4⋊C4—44no—
322C2×C4⋊C4C2×D418yes—
323C2×C4⋊C4C2×D418yes—
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—28no—
332C2×C22⋊C4—28no—
333C2×C22⋊C4—24no—
334C2×C22⋊C4—24no—
335C2×C22⋊C4—24no—
336C2×C22⋊C4—28no—
337C2×C22⋊C4—28no—
338C2×C22⋊C4—24no—
339C2×C22⋊C4—24no—
340C2×C22⋊C4—24no—
341C2×C22⋊C4—28no—
342C2×C22⋊C4—28no—
343C2×C22⋊C4—28no—
344C2×C22⋊C4—28no—
345C2×C22⋊C4—28no—
346C2×C22⋊C4—28no—
347C2×C22⋊C4—28no—
348C2×C22⋊C4—28no—
349C2×C22⋊C4—24no—
350C2×C22⋊C4—24no—
351C2×C22⋊C4—24no—
352C2×C22⋊C4—24no—
353C2×C22⋊C4—28no—
354C2×C22⋊C4—44no—
355C2×C22⋊C4—44no—
356C2×C22⋊C4—44no—
357C2×C22⋊C4—44no—
358C2×C22⋊C4—44no—
359C2×C22⋊C4—44no—
360C2×C22⋊C4—44no—
361C2×C22⋊C4—416no—
362C2×C22⋊C4—416no—
363C2×C22⋊C4—416no—
364C2×C22⋊C4—44no—
365C2×C22⋊C4—44no—
366C2×C22⋊C4—44no—
367C2×C22⋊C4—44no—
368C2×C22⋊C4—44no—
369C2×C22⋊C4—44no—
370C2×C22⋊C4—44no—
371C2×C22⋊C4—44no—
372C2×C22⋊C4C2×D418yes—
373C2×C22⋊C4C2×D418yes—
374C2×C42—24no—
375C2×C42—24no—
376C2×C42—24no—
377C2×C42—44no—
378C2×C42—44no—
379C2×C42—44no—
380#95—28no—
381#95—24no—
382#95—24no—
383#95—24no—
384#95—24no—
385#95—28no—
386#95—28no—
387#95—28no—
388#95—28no—
389#95—28no—
390#95—28no—
391#95—44no—
392#95—44no—
393#95—44no—
394#95C2×D418yes—
395#95C2×D418yes—
396#95C2×D418yes—
397#95C2×D418yes—
398C24—22no—
399C24—22no—
400C24—22no—
401C24—22no—
402C24—28no—
403C24—22no—
404C24—22no—
405C24—22no—
406C24—22no—
407C24—22no—
408C24—22no—
409C24—24no—
410C24—22no—
411C24—24no—
412C24—24no—
413C24—24no—
414C24—22no—
415C24—22no—
416C24—24no—
417C24—22no—
418C24—24no—
419C24—24no—
420C24—22no—
421C24—24no—
422C24—22no—
423C24—48no—
424C24—48no—
425C24—416no—
426C24—416no—
427C24—44no—
428C24—44no—
429C24—44no—
430C24—44no—
431C24—44no—
432C24—44no—
433C24—48no—
434C24—48no—
435C24—84no—
436C24—84no—
437C24—88no—
438C24—88no—
439C24C22×D412yes—
440C24C22×D412yes—
441C24C22×D412yes—
442C24C2×#4114yes—
443C24C2×#4114yes—
444C24H(5,𝔽2)14yes—
445C242−1+414yes—
446C24C2511yescharacteristic
447#41—4128no—
448C2×Q8—28no—
449C2×Q8—48no—
450C2×Q8—48no—
451C2×Q8—44no—
452C2×Q8—44no—
453C2×D4—28no—
454C2×D4—216no—
455C2×D4—216no—
456C2×D4—216no—
457C2×D4—48no—
458C2×D4—48no—
459C2×D4—44no—
460C2×D4—416no—
461C2×D4—416no—
462C2×D4—48no—
463C2×D4—48no—
464C2×D4—48no—
465C2×D4—48no—
466C2×D4—416no—
467C2×D4—44no—
468C2×D4—88no—
469C2×D4—88no—
470C2×D4—88no—
471C2×D4—88no—
472C22×C4—28no—
473C22×C4—28no—
474C22×C4—216no—
475C22×C4—216no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—28no—
481C22×C4—216no—
482C22×C4—28no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—24no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—24no—
498C22×C4—22no—
499C22×C4—24no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—24no—
506C22×C4—24no—
507C22×C4—24no—
508C22×C4—24no—
509C22×C4—24no—
510C22×C4—24no—
511C22×C4—24no—
512C22×C4—22no—
513C22×C4—24no—
514C22×C4—22no—
515C22×C4—28no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—24no—
529C22×C4—24no—
530C22×C4—24no—
531C22×C4—24no—
532C22×C4—24no—
533C22×C4—24no—
534C22×C4—24no—
535C22×C4—24no—
536C22×C4—44no—
537C22×C4—44no—
538C22×C4—48no—
539C22×C4—48no—
540C22×C4—44no—
541C22×C4—44no—
542C22×C4—48no—
543C22×C4—48no—
544C22×C4—48no—
545C22×C4—48no—
546C22×C4—48no—
547C22×C4—44no—
548C22×C4—416no—
549C22×C4—44no—
550C22×C4—48no—
551C22×C4—44no—
552C22×C4—44no—
553C22×C4—44no—
554C22×C4—44no—
555C22×C4—44no—
556C22×C4—44no—
557C22×C4—48no—
558C22×C4—48no—
559C22×C4—88no—
560C22×C4—84no—
561C22×C4—84no—
562C22×C4#127116yes—
563C22×C4C22×D418yes—
564C22×C4C22×D414yes—
565C22×C4C22×D418yes—
566C22×C4C22×D414yes—
567C22×C4C22×D412yes—
568C22×C4C22×D412yes—
569C22×C4C22×D412yes—
570C22×C4C22×D412yes—
571C22×C4C22×D412yes—
572C22×C4C22×D412yes—
573C22×C4C2×#4114yes—
574C22×C4H(5,𝔽2)14yes—
575C4⋊C4—48no—
576C4⋊C4—48no—
577C4⋊C4—416no—
578C4⋊C4—416no—
579C4⋊C4—416no—
580C4⋊C4—48no—
581C4⋊C4—48no—
582C4⋊C4—44no—
583C4⋊C4—44no—
584C4⋊C4—88no—
585C22⋊C4—216no—
586C22⋊C4—216no—
587C22⋊C4—416no—
588C22⋊C4—416no—
589C22⋊C4—416no—
590C22⋊C4—416no—
591C22⋊C4—416no—
592C22⋊C4—416no—
593C22⋊C4—48no—
594C22⋊C4—48no—
595C22⋊C4—48no—
596C22⋊C4—84no—
597C22⋊C4—84no—
598C22⋊C4—84no—
599C22⋊C4—84no—
600C22⋊C4—88no—
601C22⋊C4—88no—
602C42—48no—
603C42—88no—
604C23—22no—
605C23—22no—
606C23—22no—
607C23—22no—
608C23—24no—
609C23—24no—
610C23—24no—
611C23—24no—
612C23—28no—
613C23—28no—
614C23—28no—
615C23—28no—
616C23—24no—
617C23—24no—
618C23—24no—
619C23—24no—
620C23—24no—
621C23—24no—
622C23—28no—
623C23—28no—
624C23—28no—
625C23—28no—
626C23—416no—
627C23—416no—
628C23—416no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—44no—
635C23—42no—
636C23—42no—
637C23—44no—
638C23—42no—
639C23—42no—
640C23—42no—
641C23—42no—
642C23—42no—
643C23—42no—
644C23—42no—
645C23—44no—
646C23—44no—
647C23—44no—
648C23—44no—
649C23—44no—
650C23—44no—
651C23—42no—
652C23—42no—
653C23—44no—
654C23—44no—
655C23—44no—
656C23—44no—
657C23—44no—
658C23—44no—
659C23—44no—
660C23—44no—
661C23—44no—
662C23—44no—
663C23—44no—
664C23—44no—
665C23—832no—
666C23—832no—
667C23—88no—
668C23—88no—
669C23—88no—
670C23—88no—
671C23#52514yes—
672C23C2×#12714yes—
673C23#53414yes—
674C23#54618yes—
675C23#54618yes—
676C23C23×D411yescharacteristic
677C23C23×D411yescharacteristic
678C23C23×D411yescharacteristic
679C23C22×#4112yes—
680C23C2×H(5,𝔽2)12yes—
681C23C2×H(5,𝔽2)12yes—
682C23C2×2−1+412yes—
683C23#58512yes—
684C23#58512yes—
685Q8—416no—
686D4—416no—
687D4—432no—
688D4—832no—
689C2×C4—22no—
690C2×C4—22no—
691C2×C4—22no—
692C2×C4—22no—
693C2×C4—24no—
694C2×C4—24no—
695C2×C4—24no—
696C2×C4—24no—
697C2×C4—232no—
698C2×C4—24no—
699C2×C4—24no—
700C2×C4—24no—
701C2×C4—28no—
702C2×C4—28no—
703C2×C4—24no—
704C2×C4—24no—
705C2×C4—24no—
706C2×C4—24no—
707C2×C4—24no—
708C2×C4—24no—
709C2×C4—24no—
710C2×C4—24no—
711C2×C4—28no—
712C2×C4—28no—
713C2×C4—24no—
714C2×C4—28no—
715C2×C4—28no—
716C2×C4—432no—
717C2×C4—416no—
718C2×C4—416no—
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—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—44no—
737C2×C4—44no—
738C2×C4—44no—
739C2×C4—42no—
740C2×C4—42no—
741C2×C4—42no—
742C2×C4—42no—
743C2×C4—42no—
744C2×C4—42no—
745C2×C4—44no—
746C2×C4—44no—
747C2×C4—42no—
748C2×C4—42no—
749C2×C4—42no—
750C2×C4—42no—
751C2×C4—42no—
752C2×C4—42no—
753C2×C4—44no—
754C2×C4—44no—
755C2×C4—44no—
756C2×C4—44no—
757C2×C4—44no—
758C2×C4—44no—
759C2×C4—88no—
760C2×C4—88no—
761C2×C4—88no—
762C2×C4C2×#12714yes—
763C2×C4C2×#12714yes—
764C22—216no—
765C22—24no—
766C22—24no—
767C22—24no—
768C22—24no—
769C22—24no—
770C22—216no—
771C22—24no—
772C22—44no—
773C22—48no—
774C22—48no—
775C22—44no—
776C22—44no—
777C22—44no—
778C22—44no—
779C22—44no—
780C22—48no—
781C22—48no—
782C22—832no—
783C22—82no—
784C22—84no—
785C22—84no—
786C22—82no—
787C22—82no—
788C22—82no—
789C22—82no—
790C22—82no—
791C22—84no—
792C22—84no—
793C22—82no—
794C22—82no—
795C22#253918yes—
796C22C2×#52511yescharacteristic
797C22C22×#12711yescharacteristic
798C22C2×#53411yescharacteristic
799C22C2×#54612yes—
800C22C2×#54612yes—
801C22#348411yescharacteristic
802C22#348511yescharacteristic
803C22#348611yescharacteristic
804C22#348711yescharacteristic
805C22#348812yes—
806C22#348812yes—
807C22#348912yes—
808C22#348912yes—
809C22#352014yes—
810C22#352114yes—
811C22#353514yes—
812C22#354214yes—
813C4—24no—
814C4—24no—
815C4—44no—
816C4—48no—
817C4—44no—
818C4—44no—
819C4—48no—
820C4—44no—
821C4—82no—
822C4—82no—
823C4—82no—
824C4—82no—
825C2—28no—
826C2—84no—
827C2—84no—
828C2C2×#253911yescharacteristic
829C2#3535711yescharacteristic
830C2#3545411yescharacteristic
831C2#3556511yescharacteristic
832C2#3563411yescharacteristic
833C2#3670411yescharacteristic
834C2#3718611yescharacteristic
835C2#4397914yes—
836C2#4404414yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC2×#2404C2
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2484C2semidirect
2. C2×#2482C2semidirect
3. C2×#2406C2semidirect
5. C22×#396C2semidirect
6. C2×#2311C2semidirect
7. #15825C2semidirect
8. #15776C2semidirect
9. #15526C2semidirect
10. #15505C2semidirect
11. #14911C2semidirect
12. #14777C2semidirect
13. #13996C2semidirect
14. #13995C2semidirect
15. #13776C2semidirect
30. C2×#400C22semidirect
32. C2×#399C22semidirect
33. C2×#398C22semidirect
38. C2×#395C22semidirect
39. C2×#394C22semidirect
43. C2×#391C22semidirect
45. C2×#390C22semidirect
47. C2×#387C22semidirect
55. C2×#385C22semidirect
59. C2×#380C22semidirect
60. C2×#380C22semidirect
64. #1445C22semidirect
65. #1445C22semidirect
66. #1444C22semidirect
70. #1439C22semidirect
71. #1439C22semidirect
76. #1437C22semidirect
77. #1436C22semidirect
78. #1436C22semidirect
79. C4⋊#95C22semidirect
113. C22×C4⋊C4D4semidirect
176. #381D4semidirect

Maximal subgroups

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

subgroupindex
C2×#24842
C2×#24822
C2×#24062
C2×#24042
C22×#3962
C2×#23112
#158252
#157762
#155262
#155052
#149112
#147772
#139962
#139952
#137762