Finite Group Databasebeta

← #627980

Subgroups — #627980

Order 512.

4206 conjugacy classes of subgroups.

The subgroup lattice has 812 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#539C211yesmaximal, characteristic
2C2×#2627C211yesmaximal, characteristic, complemented
3C2×#2618C211yesmaximal, characteristic
4C22×#389C211yesmaximal, characteristic, complemented
5#15940C214yesmaximal, complemented
6#15848C214yesmaximal, complemented
7#15276C214yesmaximal, complemented
8#15271C214yesmaximal, complemented
9#15069C212yesmaximal, complemented
10#14912C212yesmaximal, complemented
11#14702C211yesmaximal, characteristic, complemented
12#14698C211yesmaximal, characteristic
13#14339C211yesmaximal, characteristic, complemented
14#14015C212yesmaximal, complemented
15#13968C212yesmaximal, complemented
16C2×#539—28no—
17C2×#539—28no—
18C2×#539—28no—
19C22×#126C2212yes—
20C22×#125C2212yes—
21C22×#123C2212yes—
22C22×#123C2212yes—
23C22×#123C2212yes—
24C22×C22⋊Q8C2212yes—
25C22×C22⋊Q8C2211yescharacteristic
26C22×#121C2211yescharacteristic
27C22×C4×D4C2212yes—
28C23×C4⋊C4C2211yescharacteristic
29C23×C4⋊C4C2211yescharacteristic
30C23×C4⋊C4C2211yescharacteristic
31C23×C4⋊C4C2211yescharacteristic
32C23×C42C2211yescharacteristic
33#2627—28no—
34#2618—28no—
35C2×#400C2212yes—
36C2×#398C2214yes—
37C2×#398C2212yes—
38C2×#396C2214yes—
39C2×#395C2212yes—
40C2×#394C2212yes—
41C2×#391C2212yes—
42C2×#390C2212yes—
43C2×#389—28no—
44C2×#389C2214yes—
45C2×#389C2214yes—
46C2×#386C2212yes—
47C2×#386C2212yes—
48C2×#386C2212yes—
49C2×#385C2212yes—
50C2×#385C2214yes—
51C2×#381C2212yes—
52C2×#381C2212yes—
53C2×#380C2211yescharacteristic
54C2×#380C2211yescharacteristic
55C22×#95C2211yescharacteristic
56C22×#95C2211yescharacteristic
57#1444C2214yes—
58#1444C2214yes—
59#1444C2214yes—
60#1442C2214yes—
61#1441C2214yes—
62#1441C2214yes—
63#1441C2214yes—
64#1441C2214yes—
65#1440C2214yes—
66#1440C2214yes—
67#1439C2214yes—
68#1439C2214yes—
69#1439C2214yes—
70#1439C2214yes—
71#1437C2214yes—
72#1436C2214yes—
73#1436C2214yes—
74#1436C2214yes—
75C4⋊#95C2212yes—
76C4⋊#95C2212yes—
77C22⋊#95C2212yes—
78C22⋊#95C2212yes—
79C22⋊#95C2212yes—
80C22⋊#95C2214yes—
81C23×Q8C2311yescharacteristic
82C23×D4C2312yes—
83C23×D4C2311yescharacteristic
84C24×C4C2311yescharacteristic
85C24×C4C2311yescharacteristic
86C24×C4C2311yescharacteristic
87C24×C4C2311yescharacteristic
88C24×C4C2311yescharacteristic
89C24×C4C2312yes—
90C24×C4C2311yescharacteristic
91C24×C4C2311yescharacteristic
92#539—2128no—
93C2×#126—28no—
94C2×#126—28no—
95C2×#126—28no—
96C2×#125—28no—
97C2×#125—28no—
98C2×#125—28no—
99C2×#123—28no—
100C2×#123—28no—
101C2×#123—28no—
102C2×#123—28no—
103C2×#123—28no—
104C2×#123—28no—
105C2×#123—28no—
106C2×#123—28no—
107C2×#123—44no—
108C2×C22⋊Q8—28no—
109C2×C22⋊Q8—24no—
110C2×C22⋊Q8—24no—
111C2×C22⋊Q8—28no—
112C2×C22⋊Q8—28no—
113C2×C22⋊Q8D418yes—
114C2×#121—24no—
115C2×#121—24no—
116C2×#121D418yes—
117C2×C4×D4—28no—
118C2×C4×D4—28no—
119C2×C4×D4—28no—
120C22×C4⋊C4—24no—
121C22×C4⋊C4—24no—
122C22×C4⋊C4—24no—
123C22×C4⋊C4—24no—
124C22×C4⋊C4—24no—
125C22×C4⋊C4—24no—
126C22×C4⋊C4—24no—
127C22×C4⋊C4—24no—
128C22×C4⋊C4—24no—
129C22×C4⋊C4—44no—
130C22×C4⋊C4D418yes—
131C22×C4⋊C4C2312yes—
132C22×C4⋊C4C2312yes—
133C22×C4⋊C4C2314yes—
134C22×C4⋊C4C2312yes—
135C22×C4⋊C4C2312yes—
136C22×C4⋊C4C2312yes—
137C22×C4⋊C4C2314yes—
138C22×C4⋊C4C2314yes—
139C22×C4⋊C4C2311yescharacteristic
140C22×C4⋊C4C2312yes—
141C22×C4⋊C4C2311yescharacteristic
142C22×C4⋊C4C2312yes—
143C22×C4⋊C4C2312yes—
144C22×C4⋊C4C2314yes—
145C22×C4⋊C4C2312yes—
146C22×C4⋊C4C2312yes—
147C22×C22⋊C4C2312yes—
148C22×C22⋊C4C2312yes—
149C22×C22⋊C4C2312yes—
150C22×C22⋊C4C2312yes—
151C22×C22⋊C4C2312yes—
152C22×C22⋊C4C2314yes—
153C22×C22⋊C4C2314yes—
154C22×C22⋊C4C2312yes—
155C22×C22⋊C4C2312yes—
156C22×C22⋊C4C2314yes—
157C22×C22⋊C4C2314yes—
158C22×C42—24no—
159C22×C42—44no—
160C22×C42C2312yes—
161C22×C42C2312yes—
162C22×C42C2312yes—
163#400—28no—
164#398—28no—
165#398—216no—
166#396—216no—
167#395—28no—
168#394—28no—
169#391—44no—
170#390—44no—
171#389—216no—
172#389—216no—
173#386—28no—
174#386—28no—
175#386—44no—
176#385—28no—
177#385—48no—
178#381—28no—
179#381—44no—
180#380—24no—
181#380—24no—
182C2×#95—24no—
183C2×#95—24no—
184C2×#95C2312yes—
185C2×#95C2314yes—
186C2×#95C2312yes—
187C2×#95C2314yes—
188C2×#95C2314yes—
189C2×#95C2314yes—
190C2×#95C2314yes—
191C2×#95C2314yes—
192C2×#95C2314yes—
193C2×#95C2314yes—
194C2×#95C2314yes—
195C2×#95C2314yes—
196C2×#95C2314yes—
197C2×#95C2314yes—
198C2×#95C2314yes—
199C2×#95C2314yes—
200C2×#95C2314yes—
201C2×#95C2314yes—
202C25C2412yes—
203C25C2411yescharacteristic
204C22×Q8—22no—
205C22×Q8—22no—
206C22×Q8—42no—
207C22×Q8—42no—
208C22×Q8C2×D414yes—
209C22×D4—24no—
210C22×D4—24no—
211C22×D4—24no—
212C22×D4—24no—
213C22×D4—24no—
214C22×D4—24no—
215C22×D4—22no—
216C22×D4—22no—
217C22×D4—42no—
218C22×D4—42no—
219C22×D4C2×D418yes—
220C22×D4C2×D414yes—
221C23×C4—22no—
222C23×C4—22no—
223C23×C4—24no—
224C23×C4—24no—
225C23×C4—22no—
226C23×C4—22no—
227C23×C4—22no—
228C23×C4—22no—
229C23×C4—22no—
230C23×C4—22no—
231C23×C4—22no—
232C23×C4—22no—
233C23×C4—22no—
234C23×C4—22no—
235C23×C4—22no—
236C23×C4—22no—
237C23×C4—22no—
238C23×C4—22no—
239C23×C4—22no—
240C23×C4—24no—
241C23×C4—24no—
242C23×C4—24no—
243C23×C4—24no—
244C23×C4—22no—
245C23×C4—22no—
246C23×C4—22no—
247C23×C4—22no—
248C23×C4—22no—
249C23×C4—42no—
250C23×C4—42no—
251C23×C4—42no—
252C23×C4—42no—
253C23×C4—42no—
254C23×C4—42no—
255C23×C4—42no—
256C23×C4—44no—
257C23×C4—44no—
258C23×C4C2×D414yes—
259C23×C4C2×D414yes—
260C23×C4C2×D414yes—
261C23×C4C2×D414yes—
262C23×C4C2×D414yes—
263C23×C4#4114yes—
264C23×C4#4114yes—
265C23×C4C2414yes—
266C23×C4C2414yes—
267C23×C4C2412yes—
268C23×C4C2412yes—
269C23×C4C2412yes—
270C23×C4C2412yes—
271C23×C4C2412yes—
272C23×C4C2412yes—
273C23×C4C2412yes—
274C23×C4C2412yes—
275C23×C4C2411yescharacteristic
276C23×C4C2411yescharacteristic
277C23×C4C2412yes—
278#126—264no—
279#125—264no—
280#123—264no—
281#123—264no—
282#123—432no—
283C22⋊Q8—264no—
284C22⋊Q8—232no—
285#121—232no—
286C4×D4—264no—
287C2×C4⋊C4—232no—
288C2×C4⋊C4—232no—
289C2×C4⋊C4—24no—
290C2×C4⋊C4—24no—
291C2×C4⋊C4—24no—
292C2×C4⋊C4—24no—
293C2×C4⋊C4—28no—
294C2×C4⋊C4—24no—
295C2×C4⋊C4—24no—
296C2×C4⋊C4—24no—
297C2×C4⋊C4—22no—
298C2×C4⋊C4—22no—
299C2×C4⋊C4—24no—
300C2×C4⋊C4—24no—
301C2×C4⋊C4—24no—
302C2×C4⋊C4—24no—
303C2×C4⋊C4—24no—
304C2×C4⋊C4—22no—
305C2×C4⋊C4—22no—
306C2×C4⋊C4—24no—
307C2×C4⋊C4—24no—
308C2×C4⋊C4—24no—
309C2×C4⋊C4—28no—
310C2×C4⋊C4—28no—
311C2×C4⋊C4—28no—
312C2×C4⋊C4—24no—
313C2×C4⋊C4—24no—
314C2×C4⋊C4—24no—
315C2×C4⋊C4—24no—
316C2×C4⋊C4—24no—
317C2×C4⋊C4—24no—
318C2×C4⋊C4—28no—
319C2×C4⋊C4—28no—
320C2×C4⋊C4—28no—
321C2×C4⋊C4—24no—
322C2×C4⋊C4—24no—
323C2×C4⋊C4—28no—
324C2×C4⋊C4—44no—
325C2×C4⋊C4—44no—
326C2×C4⋊C4—416no—
327C2×C4⋊C4—416no—
328C2×C4⋊C4—42no—
329C2×C4⋊C4—42no—
330C2×C4⋊C4—44no—
331C2×C4⋊C4—44no—
332C2×C4⋊C4—42no—
333C2×C4⋊C4—42no—
334C2×C4⋊C4C2×D418yes—
335C2×C4⋊C4C2×D418yes—
336C2×C4⋊C4C2×D414yes—
337C2×C4⋊C4C2×D418yes—
338C2×C4⋊C4C2×D414yes—
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—28no—
354C2×C22⋊C4—24no—
355C2×C22⋊C4—24no—
356C2×C22⋊C4—24no—
357C2×C22⋊C4—24no—
358C2×C22⋊C4—24no—
359C2×C22⋊C4—28no—
360C2×C22⋊C4—28no—
361C2×C22⋊C4—28no—
362C2×C22⋊C4—28no—
363C2×C22⋊C4—28no—
364C2×C22⋊C4—28no—
365C2×C22⋊C4—44no—
366C2×C22⋊C4—44no—
367C2×C22⋊C4—44no—
368C2×C22⋊C4—44no—
369C2×C22⋊C4—44no—
370C2×C22⋊C4C2×D418yes—
371C2×C22⋊C4C2×D418yes—
372C2×C42—24no—
373C2×C42—24no—
374C2×C42—24no—
375C2×C42—24no—
376C2×C42—24no—
377C2×C42—24no—
378C2×C42—24no—
379C2×C42—42no—
380C2×C42—42no—
381C2×C42—416no—
382#95—28no—
383#95—28no—
384#95—24no—
385#95—24no—
386#95—28no—
387#95—28no—
388#95—28no—
389#95—28no—
390#95—28no—
391#95—28no—
392#95—28no—
393#95—28no—
394#95—44no—
395#95—44no—
396#95—44no—
397#95—44no—
398#95—44no—
399#95—44no—
400C24—22no—
401C24—22no—
402C24—22no—
403C24—22no—
404C24—22no—
405C24—22no—
406C24—22no—
407C24—22no—
408C24—24no—
409C24—22no—
410C24—24no—
411C24—24no—
412C24—22no—
413C24—24no—
414C24C22×D414yes—
415C24C22×D412yes—
416C24C22×D412yes—
417C24C22×D412yes—
418C24C2×#4112yes—
419C24C2×#4112yes—
420C24H(5,𝔽2)12yes—
421C242−1+412yes—
422C24C2511yescharacteristic
423C2×Q8—28no—
424C2×Q8—48no—
425C2×Q8—82no—
426C2×Q8—82no—
427C2×Q8—84no—
428C2×D4—216no—
429C2×D4—216no—
430C2×D4—216no—
431C2×D4—28no—
432C2×D4—48no—
433C2×D4—48no—
434C2×D4—48no—
435C2×D4—48no—
436C2×D4—48no—
437C2×D4—82no—
438C2×D4—82no—
439C2×D4—84no—
440C22×C4—28no—
441C22×C4—28no—
442C22×C4—216no—
443C22×C4—28no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—216no—
453C22×C4—28no—
454C22×C4—28no—
455C22×C4—28no—
456C22×C4—28no—
457C22×C4—28no—
458C22×C4—28no—
459C22×C4—28no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—24no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—24no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—24no—
488C22×C4—24no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—216no—
497C22×C4—28no—
498C22×C4—24no—
499C22×C4—24no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—24no—
504C22×C4—24no—
505C22×C4—24no—
506C22×C4—24no—
507C22×C4—24no—
508C22×C4—24no—
509C22×C4—24no—
510C22×C4—24no—
511C22×C4—24no—
512C22×C4—24no—
513C22×C4—24no—
514C22×C4—24no—
515C22×C4—24no—
516C22×C4—24no—
517C22×C4—44no—
518C22×C4—44no—
519C22×C4—48no—
520C22×C4—48no—
521C22×C4—44no—
522C22×C4—44no—
523C22×C4—48no—
524C22×C4—48no—
525C22×C4—44no—
526C22×C4—44no—
527C22×C4—44no—
528C22×C4—44no—
529C22×C4—44no—
530C22×C4—44no—
531C22×C4—44no—
532C22×C4—44no—
533C22×C4—44no—
534C22×C4—44no—
535C22×C4—44no—
536C22×C4—44no—
537C22×C4—44no—
538C22×C4—84no—
539C22×C4—84no—
540C22×C4—88no—
541C22×C4—84no—
542C22×C4—84no—
543C22×C4—88no—
544C22×C4—84no—
545C22×C4—84no—
546C22×C4#120116yes—
547C22×C4C22×D414yes—
548C22×C4C22×D414yes—
549C22×C4C22×D414yes—
550C22×C4C22×D414yes—
551C22×C4C22×D414yes—
552C22×C4C22×D412yes—
553C22×C4C22×D412yes—
554C22×C4C22×D412yes—
555C22×C4C22×D412yes—
556C22×C4C22×D412yes—
557C22×C4C22×D412yes—
558C22×C4C2×#4114yes—
559C22×C4C2×#4114yes—
560C22×C4H(5,𝔽2)14yes—
561C22×C42−1+414yes—
562C22×C42−1+414yes—
563C4⋊C4—232no—
564C4⋊C4—216no—
565C4⋊C4—216no—
566C4⋊C4—216no—
567C4⋊C4—216no—
568C4⋊C4—216no—
569C4⋊C4—28no—
570C4⋊C4—216no—
571C4⋊C4—28no—
572C4⋊C4—416no—
573C4⋊C4—416no—
574C4⋊C4—48no—
575C4⋊C4—48no—
576C4⋊C4—84no—
577C4⋊C4—84no—
578C4⋊C4—88no—
579C22⋊C4—216no—
580C22⋊C4—216no—
581C22⋊C4—216no—
582C22⋊C4—216no—
583C22⋊C4—216no—
584C22⋊C4—416no—
585C22⋊C4—48no—
586C22⋊C4—48no—
587C22⋊C4—416no—
588C22⋊C4—88no—
589C22⋊C4—88no—
590C42—216no—
591C42—48no—
592C42—48no—
593C23—24no—
594C23—24no—
595C23—22no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—24no—
600C23—24no—
601C23—24no—
602C23—24no—
603C23—24no—
604C23—24no—
605C23—24no—
606C23—24no—
607C23—24no—
608C23—24no—
609C23—24no—
610C23—24no—
611C23—24no—
612C23—28no—
613C23—28no—
614C23—42no—
615C23—42no—
616C23—44no—
617C23—44no—
618C23—42no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—42no—
624C23—44no—
625C23—44no—
626C23—44no—
627C23—44no—
628C23—44no—
629C23—44no—
630C23—44no—
631C23—44no—
632C23C2×#12014yes—
633C23#52514yes—
634C23#53714yes—
635C23#54614yes—
636C23#54714yes—
637C23#54814yes—
638C23#55014yes—
639C23C23×D411yescharacteristic
640C23C23×D411yescharacteristic
641C23C23×D411yescharacteristic
642C23C22×#4111yescharacteristic
643C23C22×#4111yescharacteristic
644C23C2×H(5,𝔽2)11yescharacteristic
645C23C2×H(5,𝔽2)12yes—
646C23C2×2−1+411yescharacteristic
647C23C2×2−1+412yes—
648C23C2×2−1+412yes—
649C23#58512yes—
650Q8—88no—
651D4—432no—
652D4—88no—
653C2×C4—232no—
654C2×C4—24no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—24no—
662C2×C4—24no—
663C2×C4—24no—
664C2×C4—24no—
665C2×C4—24no—
666C2×C4—24no—
667C2×C4—24no—
668C2×C4—24no—
669C2×C4—24no—
670C2×C4—24no—
671C2×C4—24no—
672C2×C4—24no—
673C2×C4—24no—
674C2×C4—24no—
675C2×C4—24no—
676C2×C4—24no—
677C2×C4—24no—
678C2×C4—24no—
679C2×C4—24no—
680C2×C4—24no—
681C2×C4—24no—
682C2×C4—24no—
683C2×C4—28no—
684C2×C4—28no—
685C2×C4—24no—
686C2×C4—24no—
687C2×C4—416no—
688C2×C4—416no—
689C2×C4—416no—
690C2×C4—416no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
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—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—44no—
710C2×C4—44no—
711C2×C4—44no—
712C2×C4—44no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—44no—
717C2×C4—44no—
718C2×C4—44no—
719C2×C4—44no—
720C2×C4—42no—
721C2×C4—42no—
722C2×C4—44no—
723C2×C4—44no—
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—88no—
735C2×C4—816no—
736C2×C4—88no—
737C2×C4C2×#12014yes—
738C2×C4C2×#12014yes—
739C2×C4#53918yescomplemented
740C22—24no—
741C22—24no—
742C22—24no—
743C22—24no—
744C22—24no—
745C22—24no—
746C22—28no—
747C22—28no—
748C22—28no—
749C22—28no—
750C22—44no—
751C22—44no—
752C22—44no—
753C22—48no—
754C22—48no—
755C22—82no—
756C22—82no—
757C22—82no—
758C22—82no—
759C22—84no—
760C22—84no—
761C22#240718yes—
762C22C22×#12011yescharacteristic
763C22C2×#52511yescharacteristic
764C22C2×#53711yescharacteristic
765C22C2×#53912yes—
766C22#346112yes—
767C22C2×#54611yescharacteristic
768C22C2×#54711yescharacteristic
769C22C2×#54811yescharacteristic
770C22C2×#55011yescharacteristic
771C22#348411yescharacteristic
772C22#348511yescharacteristic
773C22#348611yescharacteristic
774C22#348611yescharacteristic
775C22#349212yes—
776C22#349612yes—
777C22#349612yes—
778C22#349912yes—
779C22#349912yes—
780C22#350712yes—
781C22#353612yes—
782C22#353812yes—
783C22#355912yes—
784C22#356312yes—
785C4—24no—
786C4—24no—
787C4—28no—
788C4—44no—
789C4—44no—
790C4—44no—
791C4—44no—
792C4—44no—
793C4—44no—
794C4—44no—
795C4—82no—
796C4—84no—
797C4—84no—
798C2—28no—
799C2—84no—
800C2C2×#240711yescharacteristic
801C2#3498911yescharacteristic
802C2#3509211yescharacteristic
803C2#3534711yescharacteristic
804C2#3566611yescharacteristic
805C2#3671911yescharacteristic
806C2#3696811yescharacteristic
807C2#3937612yes—
808C2#3938412yes—
809C2#3941312yes—
810C2#3942112yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC22×#121C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#2627C2semidirect
4. C22×#389C2semidirect
5. #15940C2semidirect
6. #15848C2semidirect
7. #15276C2semidirect
8. #15271C2semidirect
9. #15069C2semidirect
10. #14912C2semidirect
11. #14702C2semidirect
13. #14339C2semidirect
14. #14015C2semidirect
15. #13968C2semidirect
739. C2×C4#539semidirect

Maximal subgroups

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

subgroupindex
C22×#5392
C2×#26272
C2×#26182
C22×#3892
#159402
#158482
#152762
#152712
#150692
#149122
#147022
#146982
#143392
#140152
#139682