Finite Group Databasebeta

← #6615420

Subgroups — #6615420

Order 512.

1793 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
1#36210C211yesmaximal, characteristic, complemented
2#36127C211yesmaximal, characteristic
3#33294C211yesmaximal, characteristic, complemented
4#33210C211yesmaximal, characteristic, complemented
5#33207C211yesmaximal, characteristic, complemented
6#28861C214yesmaximal, complemented
7#28853C214yesmaximal, complemented
8#28687C211yesmaximal, characteristic, complemented
9#28514C211yesmaximal, characteristic, complemented
10#27877C211yesmaximal, characteristic, complemented
11#27875C211yesmaximal, characteristic, complemented
12#25671C211yesmaximal, characteristic, complemented
13#25671C211yesmaximal, characteristic, complemented
14#25355C214yesmaximal, complemented
15#22978C214yesmaximal, complemented
16#21646C211yesmaximal, characteristic, complemented
17#21410C211yesmaximal, characteristic, complemented
18#21401C211yesmaximal, characteristic, complemented
19C4×#435C211yesmaximal, characteristic, complemented
20C2×#547—21no—
21C2×#532C2211yescharacteristic
22C2×#532C2211yescharacteristic
23C2×#498C2211yescharacteristic
24C2×#498C2211yescharacteristic
25C2×#486C2211yescharacteristic
26C2×#478C2214yes—
27C2×#435C2212yes—
28C2×C4×M16C2211yescharacteristic
29C22×C4×C8C2211yescharacteristic
30#2868C2211yescharacteristic
31#2859C2211yescharacteristic
32#2857C2211yescharacteristic
33#2857C2211yescharacteristic
34#2857C2211yescharacteristic
35#2857C2211yescharacteristic
36#2562C2212yes—
37#2547—21no—
38#2537—21no—
39#2537C2212yes—
40#2514—21no—
41#2509—21no—
42#2495C2212yes—
43#2494—21no—
44#2494C2212yes—
45#2485—21no—
46#2432—21no—
47#2432—21no—
48#2422—21no—
49#2422—21no—
50#2422C2212yes—
51#2422C2212yes—
52#2421—21no—
53#2415—21no—
54#2370C2212yes—
55#2362—21no—
56D4×C4⋊C4—21no—
57D4×C4⋊C4C2212yes—
58#2347—21no—
59C4×C4⋊Q8C2211yescharacteristic
60C4×#127C2211yescharacteristic
61#2285C2211yescharacteristic
62#2285C2211yescharacteristic
63C42×D4C2211yescharacteristic
64#2092C2214yes—
65#2084C2214yes—
66#2077C2214yes—
67#2075C2214yes—
68#2034C2214yes—
69#2034C2214yes—
70#1992C2214yes—
71#1990C2211yescharacteristic
72#1990C2211yescharacteristic
73#1990C2211yescharacteristic
74#1990C2211yescharacteristic
75#1990C2211yescharacteristic
76#1990C2211yescharacteristic
77#1990C2211yescharacteristic
78#1957C2211yescharacteristic
79#1957C2211yescharacteristic
80#1957C2211yescharacteristic
81#1948C2214yes—
82#1943C2214yes—
83#1941C2214yes—
84#1936C2214yes—
85#1920C2214yes—
86#1918C2214yes—
87#1895C2214yes—
88#1893C2214yes—
89#1864C2214yes—
90#1864C2214yes—
91#1845C2211yescharacteristic
92#1844C2211yescharacteristic
93#1836C2214yes—
94#1834C2211yescharacteristic
95#1809C2214yes—
96#1807C2214yes—
97#1771C2212yes—
98C4×C4⋊C8C2211yescharacteristic
99#1762C2214yes—
100#1762C2214yes—
101C4×#102C2214yes—
102#1753C2212yes—
103#1752C2212yes—
104C4×C22⋊C8C2211yescharacteristic
105C4×C22⋊C8C2211yescharacteristic
106C4×#97C2211yescharacteristic
107C22×#41—21no—
108C22×#41—21no—
109C22×M16C2312yes—
110C23×C8C2312yes—
111#547—48no—
112#532—24no—
113#532—24no—
114#532—42no—
115#532—42no—
116C2×C4⋊Q8—21no—
117C2×C4⋊Q8—21no—
118C2×C4⋊Q8C2311yescharacteristic
119C2×C4⋊Q8C2311yescharacteristic
120C2×C4⋊Q8C2311yescharacteristic
121C2×#127C2311yescharacteristic
122C2×#125C2312yes—
123C2×#124—21no—
124C2×#124—21no—
125C2×#123—22no—
126C2×#123—22no—
127C2×C22⋊Q8—21no—
128C2×C22⋊Q8—21no—
129C2×C22⋊Q8—21no—
130C2×C22⋊Q8—21no—
131C2×#121—22no—
132C2×#121—21no—
133C2×#121—21no—
134C2×#121C2312yes—
135C2×#121C2312yes—
136C2×C4×Q8—21no—
137C2×C4×D4—21no—
138C2×C4×D4—21no—
139C2×C4×D4—21no—
140C2×C4×D4—21no—
141C2×C4×D4D411yescharacteristic
142C2×C4×D4D411yescharacteristic
143C2×C4×D4C2312yes—
144C2×C4×D4C2312yes—
145C2×C4×D4C2312yes—
146C2×C4×D4C2311yescharacteristic
147C2×#117—21no—
148C2×#117—21no—
149C22×C4⋊C4—22no—
150C22×C42C2311yescharacteristic
151C22×C42C2311yescharacteristic
152#498—42no—
153#498—42no—
154#486—24no—
155#478—216no—
156#435—28no—
157C2×#107C2314yes—
158C2×#106C2314yes—
159C2×#106C2314yes—
160C2×#106C2314yes—
161C2×C4⋊C8C2312yes—
162C2×#102C2314yes—
163C2×#102C2314yes—
164C2×#102C2314yes—
165C2×#102C2314yes—
166C2×C22⋊C8C2312yes—
167C2×C22⋊C8C2312yes—
168C4×M16—42no—
169C2×#97C2312yes—
170C2×#97C2312yes—
171C2×#97C2312yes—
172C2×C4×C8—42no—
173C2×C4×C8C2311yescharacteristic
174C2×C4×C8C2311yescharacteristic
175C2×C4×C8C2311yescharacteristic
176C2×C4×C8C2311yescharacteristic
177C2×C4×C8C2312yes—
178#401—22no—
179#400—22no—
180#400—22no—
181#397—22no—
182#397—22no—
183#397—22no—
184#397—22no—
185#394—22no—
186#394—22no—
187#394—22no—
188#394—22no—
189#394—22no—
190#391—21no—
191#391—21no—
192#391—21no—
193#391—21no—
194#391—21no—
195#390—21no—
196#390—21no—
197#390C2312yes—
198#389—22no—
199#389—21no—
200#389—21no—
201#389—21no—
202#389—21no—
203#389—21no—
204#389—21no—
205#389—21no—
206#389—21no—
207#389—21no—
208#389C2312yes—
209#389C2312yes—
210#389C2312yes—
211#389C2312yes—
212#389C2312yes—
213#388—22no—
214#388—22no—
215#388—22no—
216#388—22no—
217#387—22no—
218#387—22no—
219#387—22no—
220#385—22no—
221#385—22no—
222#385—22no—
223#385—22no—
224#384—21no—
225#384—21no—
226#384C2311yescharacteristic
227#384C2311yescharacteristic
228#384C2312yes—
229#384C2311yescharacteristic
230#384C2311yescharacteristic
231#384C2312yes—
232#383—22no—
233#382—21no—
234#382—21no—
235#382C2312yes—
236#380—21no—
237#380—21no—
238#380—21no—
239#380—21no—
240#380—21no—
241#380—21no—
242#380—22no—
243#380—22no—
244#380C2312yes—
245#380C2312yes—
246#380C2312yes—
247#380C2312yes—
248#380C2312yes—
249#380C2312yes—
250C4×C4⋊C4—21no—
251C4×C4⋊C4—21no—
252C4×C4⋊C4—21no—
253C4×C4⋊C4—22no—
254C4×C4⋊C4D411yescharacteristic
255C4×C4⋊C4D411yescharacteristic
256C4×C4⋊C4C2312yes—
257C4×C4⋊C4C2312yes—
258C4×C4⋊C4C2312yes—
259C4×C4⋊C4C2311yescharacteristic
260C4×C22⋊C4D411yescharacteristic
261C4×C22⋊C4D411yescharacteristic
262C4×C22⋊C4D411yescharacteristic
263C4×C22⋊C4D411yescharacteristic
264C4×C22⋊C4C2311yescharacteristic
265C4×C22⋊C4C2311yescharacteristic
266C43C2311yescharacteristic
267#340C2314yes—
268#340C2314yes—
269#340C2314yes—
270#340C2314yes—
271#340C2314yes—
272#340C2314yes—
273#340C2314yes—
274#340C2314yes—
275#336C2312yes—
276#336C2312yes—
277#336C2312yes—
278C2×#41—44no—
279C2×#41—44no—
280C2×#41—44no—
281C2×#41—44no—
282C2×#41—82no—
283C2×#41—82no—
284C22×Q8—21no—
285C22×Q8—21no—
286C22×Q8—21no—
287C22×D4—22no—
288C22×D4—22no—
289C22×D4—21no—
290C22×D4—21no—
291C22×D4C2×D411yescharacteristic
292C22×D4C2412yes—
293C23×C4—22no—
294C23×C4—22no—
295C23×C4—22no—
296C23×C4C2×D411yescharacteristic
297C23×C4C2×D411yescharacteristic
298C23×C4C2×D411yescharacteristic
299C23×C4C2×D411yescharacteristic
300C23×C4C2411yescharacteristic
301C23×C4C2411yescharacteristic
302C2×M16—24no—
303C2×M16—24no—
304C2×M16—42no—
305C22×C8—24no—
306C22×C8—24no—
307C22×C8—42no—
308C22×C8C2412yes—
309C22×C8C2412yes—
310C22×C8C2412yes—
311C22×C8C2412yes—
312C4⋊Q8—22no—
313C4⋊Q8—22no—
314C4⋊Q8—22no—
315C4⋊Q8—22no—
316C4⋊Q8—22no—
317C4⋊Q8—22no—
318C4⋊Q8—44no—
319C4⋊Q8—82no—
320#127—22no—
321#127#4114yes—
322#125—28no—
323#124—44no—
324#124—44no—
325#123—48no—
326#123—48no—
327C22⋊Q8—44no—
328C22⋊Q8—44no—
329C22⋊Q8—44no—
330C22⋊Q8—82no—
331#121—24no—
332#121—24no—
333#121—42no—
334#121—42no—
335#121—44no—
336#121—44no—
337#121—48no—
338C4×Q8—82no—
339C4×D4—24no—
340C4×D4—24no—
341C4×D4—24no—
342C4×D4—24no—
343C4×D4—28no—
344C4×D4—42no—
345C4×D4—42no—
346C4×D4—42no—
347C4×D4—44no—
348C4×D4—44no—
349C4×D4—44no—
350C4×D4—44no—
351#117—44no—
352#117—82no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4—22no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4—21no—
357C2×C4⋊C4—21no—
358C2×C4⋊C4—21no—
359C2×C4⋊C4—21no—
360C2×C4⋊C4—21no—
361C2×C4⋊C4—21no—
362C2×C4⋊C4—21no—
363C2×C4⋊C4—21no—
364C2×C4⋊C4—21no—
365C2×C4⋊C4—22no—
366C2×C4⋊C4—22no—
367C2×C4⋊C4—22no—
368C2×C4⋊C4—22no—
369C2×C4⋊C4—21no—
370C2×C4⋊C4—21no—
371C2×C4⋊C4—22no—
372C2×C4⋊C4—22no—
373C2×C4⋊C4—22no—
374C2×C4⋊C4—22no—
375C2×C4⋊C4—48no—
376C2×C4⋊C4C2×D411yescharacteristic
377C2×C4⋊C4C2×D411yescharacteristic
378C2×C4⋊C4C2×D411yescharacteristic
379C2×C4⋊C4C2412yes—
380C2×C4⋊C4C2412yes—
381C2×C4⋊C4C2412yes—
382C2×C4⋊C4C2412yes—
383C2×C4⋊C4C2412yes—
384C2×C4⋊C4C2412yes—
385C2×C4⋊C4C2412yes—
386C2×C22⋊C4—22no—
387C2×C22⋊C4—22no—
388C2×C22⋊C4—22no—
389C2×C22⋊C4—22no—
390C2×C22⋊C4—22no—
391C2×C22⋊C4—22no—
392C2×C22⋊C4—22no—
393C2×C22⋊C4—22no—
394C2×C22⋊C4—22no—
395C2×C22⋊C4—22no—
396C2×C22⋊C4—22no—
397C2×C22⋊C4—22no—
398C2×C22⋊C4—22no—
399C2×C22⋊C4C2×D411yescharacteristic
400C2×C22⋊C4C2×D411yescharacteristic
401C2×C22⋊C4C2×D411yescharacteristic
402C2×C22⋊C4C2×D411yescharacteristic
403C2×C22⋊C4C2×D411yescharacteristic
404C2×C22⋊C4C2×D411yescharacteristic
405C2×C42—22no—
406C2×C42—22no—
407C2×C42—22no—
408C2×C42—22no—
409C2×C42—22no—
410C2×C42—22no—
411C2×C42—22no—
412C2×C42C2×D411yescharacteristic
413C2×C42C2×D411yescharacteristic
414C2×C42C2×D411yescharacteristic
415C2×C42C2×D411yescharacteristic
416C2×C42C2×D411yescharacteristic
417C2×C42C2×D411yescharacteristic
418C2×C42C2×D411yescharacteristic
419C2×C42C2×D411yescharacteristic
420C2×C42C2411yescharacteristic
421C2×C42C2411yescharacteristic
422C2×C42C2411yescharacteristic
423C2×C42C2411yescharacteristic
424C2×C42C2411yescharacteristic
425#107—28no—
426#106—28no—
427#106—44no—
428#106—44no—
429C4⋊C8#4118yescomplemented
430#102—28no—
431#102—28no—
432#102—28no—
433#102—28no—
434C22⋊C8—24no—
435C22⋊C8—24no—
436#97—24no—
437#97—24no—
438#97—42no—
439C4×C8—22no—
440C4×C8—22no—
441C4×C8—22no—
442C4×C8—22no—
443C4×C8—42no—
444#95—22no—
445#95—22no—
446#95—22no—
447#95—22no—
448#95—22no—
449#95—22no—
450#95—22no—
451#95—22no—
452#95—22no—
453#95—22no—
454#95—22no—
455#95—22no—
456#95—22no—
457#95—22no—
458#95—22no—
459#95—22no—
460#95C2×D411yescharacteristic
461#95C2×D411yescharacteristic
462#95C2×D411yescharacteristic
463#95C2×D411yescharacteristic
464#95C2×D411yescharacteristic
465#95C2×D411yescharacteristic
466C24—22no—
467C24C22×D411yescharacteristic
468C24C22×D411yescharacteristic
469#41—816no—
470#41—816no—
471C2×Q8—42no—
472C2×Q8—42no—
473C2×Q8—42no—
474C2×Q8—42no—
475C2×Q8—42no—
476C2×Q8—42no—
477C2×Q8—42no—
478C2×Q8—42no—
479C2×Q8—42no—
480C2×D4—22no—
481C2×D4—22no—
482C2×D4—24no—
483C2×D4—24no—
484C2×D4—24no—
485C2×D4—22no—
486C2×D4—24no—
487C2×D4—41no—
488C2×D4—44no—
489C2×D4—44no—
490C2×D4—44no—
491C2×D4—44no—
492C2×D4—42no—
493C2×D4—42no—
494C2×D4—42no—
495C2×D4—42no—
496C2×D4—82no—
497C2×D4—82no—
498C2×D4C2×#4114yes—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
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—44no—
526C22×C4—44no—
527C22×C4—44no—
528C22×C4—44no—
529C22×C4—44no—
530C22×C4—44no—
531C22×C4—44no—
532C22×C4—82no—
533C22×C4—82no—
534C22×C4AGL(1,ℤ/8)14yes—
535C22×C4C22×D411yescharacteristic
536C22×C4C22×D411yescharacteristic
537C22×C4C22×D411yescharacteristic
538C22×C4C22×D411yescharacteristic
539C22×C4C22×D411yescharacteristic
540C22×C4C22×D411yescharacteristic
541C22×C4C22×D411yescharacteristic
542C22×C4C22×D411yescharacteristic
543C22×C4C22×D411yescharacteristic
544C22×C4C22×D411yescharacteristic
545C22×C4C22×D411yescharacteristic
546C22×C4C22×D411yescharacteristic
547C22×C4C2511yescharacteristic
548M16—48no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—22no—
552C2×C8—22no—
553C2×C8—22no—
554C2×C8—22no—
555C2×C8—22no—
556C2×C8—22no—
557C2×C8—22no—
558C2×C8—48no—
559C2×C8C2×#4114yes—
560C2×C8C2×#4114yes—
561C2×C82−1+414yes—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—24no—
566C4⋊C4—24no—
567C4⋊C4—24no—
568C4⋊C4—22no—
569C4⋊C4—22no—
570C4⋊C4—22no—
571C4⋊C4—22no—
572C4⋊C4—22no—
573C4⋊C4—24no—
574C4⋊C4—41no—
575C4⋊C4—44no—
576C4⋊C4—44no—
577C4⋊C4—44no—
578C4⋊C4—44no—
579C4⋊C4—44no—
580C4⋊C4—44no—
581C4⋊C4—42no—
582C4⋊C4—42no—
583C4⋊C4—42no—
584C4⋊C4—44no—
585C4⋊C4—42no—
586C4⋊C4—42no—
587C4⋊C4—42no—
588C4⋊C4—42no—
589C4⋊C4—42no—
590C4⋊C4—42no—
591C4⋊C4—42no—
592C4⋊C4—42no—
593C4⋊C4—82no—
594C4⋊C4—82no—
595C4⋊C4—82no—
596C4⋊C4—82no—
597C22⋊C4—22no—
598C22⋊C4—22no—
599C22⋊C4—22no—
600C22⋊C4—22no—
601C22⋊C4—41no—
602C22⋊C4—41no—
603C22⋊C4—44no—
604C22⋊C4—44no—
605C22⋊C4—44no—
606C22⋊C4—44no—
607C22⋊C4—44no—
608C22⋊C4—44no—
609C22⋊C4—44no—
610C22⋊C4—44no—
611C22⋊C4—44no—
612C22⋊C4—44no—
613C22⋊C4—44no—
614C22⋊C4—82no—
615C22⋊C4—82no—
616C42—22no—
617C42—22no—
618C42—22no—
619C42—22no—
620C42—22no—
621C42—22no—
622C42—22no—
623C42—22no—
624C42—21no—
625C42—21no—
626C42—21no—
627C42—21no—
628C42—22no—
629C42—44no—
630C42—82no—
631C42—82no—
632C42C2×#4114yes—
633C42C2×#4112yes—
634C42H(5,𝔽2)12yes—
635C23—21no—
636C23—21no—
637C23—21no—
638C23—21no—
639C23—21no—
640C23—21no—
641C23—21no—
642C23—24no—
643C23—21no—
644C23—21no—
645C23—21no—
646C23—21no—
647C23—21no—
648C23—21no—
649C23—42no—
650C23—42no—
651C23—42no—
652C23—42no—
653C23—42no—
654C23—42no—
655C23C2×AGL(1,ℤ/8)12yes—
656C23C23×D411yescharacteristic
657Q8—84no—
658Q8—84no—
659Q8—84no—
660D4—28no—
661D4—44no—
662D4—44no—
663D4—48no—
664D4—48no—
665D4—88no—
666D4—88no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—28no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—21no—
691C2×C4—21no—
692C2×C4—21no—
693C2×C4—21no—
694C2×C4—21no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—44no—
700C2×C4—44no—
701C2×C4—44no—
702C2×C4—42no—
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—42no—
722C2×C4—42no—
723C2×C4—88no—
724C2×C4—88no—
725C2×C4—88no—
726C2×C4#53212yes—
727C2×C4#53212yes—
728C2×C4#54612yes—
729C2×C4#54612yes—
730C2×C4C2×AGL(1,ℤ/8)12yes—
731C2×C4C2×AGL(1,ℤ/8)12yes—
732C2×C4#57512yes—
733C2×C4#57712yes—
734C2×C4#57712yes—
735C2×C4C22×#4111yescharacteristic
736C2×C4C22×#4112yes—
737C2×C4C2×H(5,𝔽2)11yescharacteristic
738C2×C4C2×2−1+412yes—
739C8—24no—
740C8—24no—
741C8—24no—
742C8—42no—
743C22—22no—
744C22—22no—
745C22—22no—
746C22—41no—
747C22—41no—
748C22—41no—
749C22—41no—
750C22—41no—
751C22—41no—
752C22—41no—
753C22—41no—
754C22—41no—
755C22—44no—
756C22—41no—
757C22—44no—
758C22—41no—
759C22—44no—
760C22—82no—
761C22—82no—
762C22—82no—
763C22—82no—
764C22C2×#53211yescharacteristic
765C22C2×#54611yescharacteristic
766C22#349911yescharacteristic
767C22C22×AGL(1,ℤ/8)11yescharacteristic
768C22C2×#57511yescharacteristic
769C22C2×#57711yescharacteristic
770C22C2×#57711yescharacteristic
771C4—22no—
772C4—22no—
773C4—22no—
774C4—41no—
775C4—41no—
776C4—41no—
777C4—41no—
778C4—41no—
779C4—41no—
780C4—41no—
781C4—82no—
782C4—82no—
783C4—82no—
784C4—82no—
785C4—82no—
786C4—82no—
787C4—82no—
788C4#330714yes—
789C4#331014yes—
790C4#348212yes—
791C4#352012yes—
792C2—42no—
793C2—81no—
794C2—84no—
795C2#3640611yescharacteristic
796C2#6070011yescharacteristic
797C2#6071611yescharacteristic
798C2C2×#331011yescharacteristic
799C2C2×#330711yescharacteristic
800C2#6247711yescharacteristic
801C2#6248311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36127C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C42×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36210C2semidirect
3. #33294C2semidirect
4. #33210C2semidirect
5. #33207C2semidirect
6. #28861C2semidirect
7. #28853C2semidirect
8. #28687C2semidirect
9. #28514C2semidirect
10. #27877C2semidirect
11. #27875C2semidirect
12. #25671C2semidirect
13. #25671C2semidirect
14. #25355C2semidirect
15. #22978C2semidirect
16. #21646C2semidirect
17. #21410C2semidirect
18. #21401C2semidirect
19. C4×#435C2semidirect
429. C4⋊C8#41semidirect

Maximal subgroups

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

subgroupindex
#362102
#361272
#332942
#332102
#332072
#288612
#288532
#286872
#285142
#278772
#278752
#256712
#253552
#229782
#216462
#214102
#214012
C4×#4352