Finite Group Databasebeta

← #6594197

Subgroups — #6594197

Order 512.

1742 conjugacy classes of subgroups.

The subgroup lattice has 788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36182C211yesmaximal, characteristic
2#36180C211yesmaximal, characteristic, complemented
3#33297C211yesmaximal, characteristic, complemented
4#33048C211yesmaximal, characteristic, complemented
5#33042C211yesmaximal, characteristic, complemented
6#29220C211yesmaximal, characteristic, complemented
7#29139C211yesmaximal, characteristic, complemented
8#27973C211yesmaximal, characteristic, complemented
9#27973C211yesmaximal, characteristic, complemented
10#27962C211yesmaximal, characteristic, complemented
11#27961C211yesmaximal, characteristic, complemented
12#27739C214yesmaximal, complemented
13#27711C214yesmaximal, complemented
14#27704C214yesmaximal, complemented
15#22493C214yesmaximal, complemented
16#21646C211yesmaximal, characteristic, complemented
17#20764C211yesmaximal, characteristic, complemented
18C2×#1834C211yesmaximal, characteristic, complemented
19C4×#435C211yesmaximal, characteristic, complemented
20C2×#554—21no—
21C2×#553C2212yes—
22C2×#486C2211yescharacteristic
23C2×#435C2212yes—
24C2×C4×M16C2211yescharacteristic
25C22×C4×C8C2211yescharacteristic
26#2868C2211yescharacteristic
27#2859C2211yescharacteristic
28#2857C2211yescharacteristic
29#2857C2211yescharacteristic
30#2856C2211yescharacteristic
31#2856C2211yescharacteristic
32#2567—21no—
33#2566C2212yes—
34#2552—21no—
35#2552C2212yes—
36#2512—21no—
37#2512—21no—
38#2504C2212yes—
39#2502—21no—
40#2502—21no—
41#2500C2212yes—
42#2440—21no—
43#2440—21no—
44#2440C2212yes—
45#2440C2212yes—
46#2422—21no—
47#2422—21no—
48#2416—21no—
49#2416—21no—
50#2361—21no—
51#2361—21no—
52D4×C4⋊C4—21no—
53D4×C4⋊C4C2212yes—
54C4×C4⋊Q8C2211yescharacteristic
55C4×#127C2211yescharacteristic
56#2285C2211yescharacteristic
57C2×#384C2211yescharacteristic
58C2×#384C2211yescharacteristic
59C2×#384C2211yescharacteristic
60C42×D4C2211yescharacteristic
61#2101C2214yes—
62#2101C2214yes—
63#2100C2214yes—
64#2071C2214yes—
65#2071C2214yes—
66#2023C2214yes—
67#1993C2214yes—
68#1992C2214yes—
69#1990C2211yescharacteristic
70#1990C2211yescharacteristic
71#1990C2211yescharacteristic
72#1989C2214yes—
73#1957C2211yescharacteristic
74#1957C2211yescharacteristic
75#1957C2211yescharacteristic
76#1936C2214yes—
77#1936C2214yes—
78#1934C2214yes—
79#1895C2214yes—
80#1893C2214yes—
81#1874C2214yes—
82#1874C2214yes—
83#1836C2214yes—
84#1834C2211yescharacteristic
85#1834C2211yescharacteristic
86#1834C2211yescharacteristic
87#1834C2211yescharacteristic
88#1834C2211yescharacteristic
89#1834C2211yescharacteristic
90#1834C2214yes—
91#1834C2211yescharacteristic
92#1834C2211yescharacteristic
93#1834C2211yescharacteristic
94#1825C2214yes—
95#1824C2214yes—
96#1802C2214yes—
97#1771C2212yes—
98C4×C4⋊C8C2211yescharacteristic
99#1762C2214yes—
100#1753C2212yes—
101#1752C2212yes—
102C4×C22⋊C8C2211yescharacteristic
103C4×C22⋊C8C2211yescharacteristic
104#1736C2214yes—
105C2×#340C2214yes—
106C4×#97C2211yescharacteristic
107C22×M16C2312yes—
108C23×C8C2312yes—
109#554—48no—
110#553—216no—
111C2×C4⋊Q8—21no—
112C2×C4⋊Q8—21no—
113C2×C4⋊Q8C2311yescharacteristic
114C2×C4⋊Q8C2312yes—
115C2×#127C2311yescharacteristic
116C2×#126—22no—
117C2×#125—22no—
118C2×#125C2312yes—
119C2×#123—22no—
120C2×C22⋊Q8—21no—
121C2×C22⋊Q8—21no—
122C2×C22⋊Q8—22no—
123C2×C22⋊Q8—22no—
124C2×#121—22no—
125C2×#121—21no—
126C2×#121—21no—
127C2×#121—21no—
128C2×#121—21no—
129C2×#121C2312yes—
130C2×#121C2312yes—
131C2×C4×Q8—21no—
132C2×C4×D4—22no—
133C2×C4×D4—22no—
134C2×C4×D4—21no—
135C2×C4×D4—21no—
136C2×C4×D4D411yescharacteristic
137C2×C4×D4D411yescharacteristic
138C2×C4×D4C2312yes—
139C2×C4×D4C2311yescharacteristic
140C2×#117C2312yes—
141C22×C4⋊C4—21no—
142C22×C4⋊C4—21no—
143C22×C4⋊C4—21no—
144C22×C4⋊C4—21no—
145C22×C4⋊C4—21no—
146C22×C4⋊C4—21no—
147C22×C4⋊C4C2312yes—
148C22×C4⋊C4C2312yes—
149C22×C4⋊C4C2312yes—
150C22×C42C2311yescharacteristic
151C22×C42C2311yescharacteristic
152#486—24no—
153#435—28no—
154C2×C4⋊C8C2312yes—
155C2×#102C2314yes—
156C2×#102C2314yes—
157C2×#102C2314yes—
158C2×#102C2314yes—
159C2×C22⋊C8C2312yes—
160C2×C22⋊C8C2312yes—
161C4×M16—24no—
162C2×#97C2312yes—
163C2×#97C2312yes—
164C2×#97C2312yes—
165C2×C4×C8—24no—
166C2×C4×C8C2312yes—
167C2×C4×C8C2311yescharacteristic
168C2×C4×C8C2311yescharacteristic
169C2×C4×C8C2311yescharacteristic
170C2×C4×C8C2311yescharacteristic
171#398—22no—
172#398—22no—
173#398—22no—
174#398—22no—
175#397—22no—
176#397—22no—
177#396—22no—
178#396—22no—
179#395—22no—
180#395—22no—
181#394—22no—
182#394—22no—
183#391—21no—
184#391—21no—
185#391—21no—
186#390—21no—
187#390—21no—
188#390—21no—
189#390—21no—
190#390—21no—
191#390—21no—
192#390C2312yes—
193#390C2312yes—
194#390C2312yes—
195#389—22no—
196#389—22no—
197#389—21no—
198#389—21no—
199#389—21no—
200#389—21no—
201#389—21no—
202#389—21no—
203#389—21no—
204#389C2312yes—
205#389C2312yes—
206#389C2312yes—
207#388—22no—
208#388—22no—
209#386—22no—
210#386—22no—
211#385—22no—
212#385—22no—
213#385—22no—
214#385—22no—
215#385—22no—
216#385—22no—
217#384—21no—
218#384—21no—
219#384—21no—
220#384—21no—
221#384—21no—
222#384—21no—
223#384—21no—
224#384—21no—
225#384C2311yescharacteristic
226#384C2311yescharacteristic
227#384C2312yes—
228#384C2312yes—
229#384C2312yes—
230#384C2312yes—
231#384C2311yescharacteristic
232#384C2311yescharacteristic
233#384C2311yescharacteristic
234#384C2311yescharacteristic
235#382C2312yes—
236#382C2312yes—
237#380—21no—
238#380—21no—
239#380—21no—
240#380—21no—
241#380C2312yes—
242#380C2312yes—
243C4×C4⋊C4—21no—
244C4×C4⋊C4—21no—
245C4×C4⋊C4—21no—
246C4×C4⋊C4D411yescharacteristic
247C4×C4⋊C4D411yescharacteristic
248C4×C4⋊C4C2312yes—
249C4×C4⋊C4C2311yescharacteristic
250C4×C22⋊C4D411yescharacteristic
251C4×C22⋊C4D411yescharacteristic
252C4×C22⋊C4D411yescharacteristic
253C4×C22⋊C4D411yescharacteristic
254C4×C22⋊C4C2311yescharacteristic
255C4×C22⋊C4C2311yescharacteristic
256C43C2311yescharacteristic
257#340C2314yes—
258#340C2314yes—
259#340C2314yes—
260#340C2314yes—
261#340C2314yes—
262#340C2314yes—
263#340C2314yes—
264#340C2314yes—
265#340C2314yes—
266#340C2314yes—
267#340C2314yes—
268#340C2314yes—
269#336C2312yes—
270#336C2312yes—
271#336C2312yes—
272C22×Q8—21no—
273C22×Q8—22no—
274C22×D4—22no—
275C22×D4—22no—
276C22×D4—21no—
277C22×D4—21no—
278C22×D4C2×D411yescharacteristic
279C22×D4C2412yes—
280C23×C4—22no—
281C23×C4—22no—
282C23×C4—22no—
283C23×C4—22no—
284C23×C4C2×D411yescharacteristic
285C23×C4C2×D411yescharacteristic
286C23×C4C2×D411yescharacteristic
287C23×C4C2×D411yescharacteristic
288C23×C4C2411yescharacteristic
289C23×C4C2411yescharacteristic
290C2×M16—24no—
291C2×M16—24no—
292C2×M16—42no—
293C22×C8—24no—
294C22×C8—24no—
295C22×C8—42no—
296C22×C8C2412yes—
297C22×C8C2412yes—
298C22×C8C2412yes—
299C22×C8C2412yes—
300C4⋊Q8—22no—
301C4⋊Q8—22no—
302C4⋊Q8—44no—
303C4⋊Q8—44no—
304C4⋊Q8—82no—
305#127—22no—
306#127—22no—
307#126—48no—
308#125—28no—
309#125—48no—
310#123—48no—
311C22⋊Q8—48no—
312C22⋊Q8—48no—
313C22⋊Q8—44no—
314C22⋊Q8—44no—
315#121—28no—
316#121—28no—
317#121—48no—
318#121—44no—
319#121—44no—
320#121—82no—
321#121—82no—
322C4×Q8—44no—
323C4×D4—24no—
324C4×D4—24no—
325C4×D4—28no—
326C4×D4—48no—
327C4×D4—48no—
328C4×D4—82no—
329C4×D4—82no—
330C4×D4#4118yes—
331#117—28no—
332C2×C4⋊C4—28no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—22no—
340C2×C4⋊C4—22no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—21no—
343C2×C4⋊C4—21no—
344C2×C4⋊C4—21no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—22no—
348C2×C4⋊C4—22no—
349C2×C4⋊C4—22no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—22no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4—21no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—22no—
358C2×C4⋊C4—22no—
359C2×C4⋊C4—22no—
360C2×C4⋊C4—22no—
361C2×C4⋊C4—22no—
362C2×C4⋊C4—22no—
363C2×C4⋊C4—44no—
364C2×C4⋊C4—44no—
365C2×C4⋊C4—44no—
366C2×C4⋊C4—44no—
367C2×C4⋊C4—82no—
368C2×C4⋊C4—82no—
369C2×C4⋊C4—82no—
370C2×C4⋊C4—82no—
371C2×C4⋊C4C2×D411yescharacteristic
372C2×C4⋊C4C2×D411yescharacteristic
373C2×C4⋊C4C2×D411yescharacteristic
374C2×C4⋊C4C2412yes—
375C2×C4⋊C4C2412yes—
376C2×C4⋊C4C2412yes—
377C2×C4⋊C4C2412yes—
378C2×C4⋊C4C2412yes—
379C2×C4⋊C4C2412yes—
380C2×C4⋊C4C2412yes—
381C2×C22⋊C4—22no—
382C2×C22⋊C4—22no—
383C2×C22⋊C4—22no—
384C2×C22⋊C4—22no—
385C2×C22⋊C4—22no—
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⋊C4C2×D411yescharacteristic
394C2×C22⋊C4C2×D411yescharacteristic
395C2×C22⋊C4C2×D411yescharacteristic
396C2×C22⋊C4C2×D411yescharacteristic
397C2×C22⋊C4C2×D411yescharacteristic
398C2×C22⋊C4C2×D411yescharacteristic
399C2×C42—22no—
400C2×C42—22no—
401C2×C42—22no—
402C2×C42—22no—
403C2×C42—22no—
404C2×C42—22no—
405C2×C42C2×D411yescharacteristic
406C2×C42C2×D411yescharacteristic
407C2×C42C2×D411yescharacteristic
408C2×C42C2×D411yescharacteristic
409C2×C42C2×D411yescharacteristic
410C2×C42C2×D411yescharacteristic
411C2×C42C2×D411yescharacteristic
412C2×C42C2×D411yescharacteristic
413C2×C42C2411yescharacteristic
414C2×C42C2411yescharacteristic
415C2×C42C2411yescharacteristic
416C2×C42C2411yescharacteristic
417C2×C42C2411yescharacteristic
418C4⋊C8—24no—
419#102—28no—
420#102—44no—
421#102—44no—
422#102—44no—
423C22⋊C8—24no—
424C22⋊C8—24no—
425#97—24no—
426#97—24no—
427#97—42no—
428C4×C8—24no—
429C4×C8—22no—
430C4×C8—22no—
431C4×C8—22no—
432C4×C8#4114yes—
433#95—22no—
434#95—22no—
435#95—22no—
436#95—22no—
437#95—22no—
438#95—22no—
439#95—22no—
440#95—22no—
441#95—22no—
442#95—22no—
443#95C2×D411yescharacteristic
444#95C2×D411yescharacteristic
445#95C2×D411yescharacteristic
446#95C2×D411yescharacteristic
447#95C2×D411yescharacteristic
448#95C2×D411yescharacteristic
449C24—22no—
450C24C22×D411yescharacteristic
451C24C22×D411yescharacteristic
452C2×Q8—44no—
453C2×Q8—42no—
454C2×Q8—42no—
455C2×Q8—42no—
456C2×Q8—82no—
457C2×Q8—82no—
458C2×D4—22no—
459C2×D4—22no—
460C2×D4—22no—
461C2×D4—24no—
462C2×D4—22no—
463C2×D4—24no—
464C2×D4—44no—
465C2×D4—44no—
466C2×D4—44no—
467C2×D4—44no—
468C2×D4—42no—
469C2×D4—42no—
470C2×D4—42no—
471C2×D4—42no—
472C2×D4—42no—
473C2×D4—42no—
474C2×D4—82no—
475C2×D4—82no—
476C2×D4#12414yes—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—44no—
501C22×C4—44no—
502C22×C4—44no—
503C22×C4—44no—
504C22×C4—82no—
505C22×C4—82no—
506C22×C4—82no—
507C22×C4—82no—
508C22×C4—82no—
509C22×C4—82no—
510C22×C4—82no—
511C22×C4—82no—
512C22×C4AGL(1,ℤ/8)14yes—
513C22×C4#13714yes—
514C22×C4C22×D411yescharacteristic
515C22×C4C22×D411yescharacteristic
516C22×C4C22×D411yescharacteristic
517C22×C4C22×D411yescharacteristic
518C22×C4C22×D411yescharacteristic
519C22×C4C22×D411yescharacteristic
520C22×C4C22×D411yescharacteristic
521C22×C4C22×D411yescharacteristic
522C22×C4C22×D411yescharacteristic
523C22×C4C22×D411yescharacteristic
524C22×C4C22×D411yescharacteristic
525C22×C4C22×D411yescharacteristic
526C22×C4C2×#4114yes—
527C22×C4C2×#4114yes—
528C22×C4C2511yescharacteristic
529M16—48no—
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—22no—
533C2×C8—22no—
534C2×C8—22no—
535C2×C8—22no—
536C2×C8—22no—
537C2×C8—22no—
538C2×C8—22no—
539C2×C8—22no—
540C2×C8—22no—
541C2×C8—48no—
542C2×C8C2×#4114yes—
543C4⋊C4—22no—
544C4⋊C4—22no—
545C4⋊C4—22no—
546C4⋊C4—24no—
547C4⋊C4—24no—
548C4⋊C4—24no—
549C4⋊C4—22no—
550C4⋊C4—24no—
551C4⋊C4—24no—
552C4⋊C4—24no—
553C4⋊C4—44no—
554C4⋊C4—44no—
555C4⋊C4—44no—
556C4⋊C4—44no—
557C4⋊C4—44no—
558C4⋊C4—44no—
559C4⋊C4—44no—
560C4⋊C4—42no—
561C4⋊C4—42no—
562C4⋊C4—44no—
563C4⋊C4—42no—
564C4⋊C4—42no—
565C4⋊C4—42no—
566C4⋊C4—44no—
567C4⋊C4—42no—
568C4⋊C4—42no—
569C4⋊C4—42no—
570C4⋊C4—42no—
571C4⋊C4—42no—
572C4⋊C4—42no—
573C4⋊C4—42no—
574C4⋊C4—42no—
575C4⋊C4—82no—
576C4⋊C4—82no—
577C4⋊C4—82no—
578C4⋊C4—82no—
579C4⋊C4—82no—
580C4⋊C4—82no—
581C4⋊C4—82no—
582C4⋊C4—82no—
583C4⋊C4#12414yes—
584C22⋊C4—22no—
585C22⋊C4—22no—
586C22⋊C4—22no—
587C22⋊C4—22no—
588C22⋊C4—44no—
589C22⋊C4—44no—
590C22⋊C4—44no—
591C22⋊C4—44no—
592C22⋊C4—44no—
593C22⋊C4—44no—
594C22⋊C4—44no—
595C22⋊C4—44no—
596C22⋊C4—82no—
597C22⋊C4—82no—
598C22⋊C4—82no—
599C22⋊C4—82no—
600C22⋊C4#12414yes—
601C22⋊C4#12414yes—
602C42—22no—
603C42—22no—
604C42—22no—
605C42—22no—
606C42—22no—
607C42—22no—
608C42—22no—
609C42—22no—
610C42—21no—
611C42—21no—
612C42—21no—
613C42—21no—
614C42—22no—
615C42—44no—
616C42—44no—
617C42C2×#4114yes—
618C42C2×#4112yes—
619C422−1+412yes—
620C23—21no—
621C23—21no—
622C23—21no—
623C23—21no—
624C23—21no—
625C23—21no—
626C23—21no—
627C23—21no—
628C23—21no—
629C23—21no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23C2×#12412yes—
638C23C2×#12412yes—
639C23C2×AGL(1,ℤ/8)12yes—
640C23C2×#13712yes—
641C23C23×D411yescharacteristic
642Q8—84no—
643Q8—164no—
644D4—28no—
645D4—44no—
646D4—44no—
647D4—88no—
648D4—84no—
649D4—84no—
650D4—164no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—28no—
664C2×C4—28no—
665C2×C4—24no—
666C2×C4—24no—
667C2×C4—24no—
668C2×C4—24no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—44no—
682C2×C4—44no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
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—164no—
705C2×C4—164no—
706C2×C4—164no—
707C2×C4—164no—
708C2×C4C2×#12412yes—
709C2×C4C2×#12412yes—
710C2×C4C2×#12412yes—
711C2×C4C2×#12412yes—
712C2×C4#54712yes—
713C2×C4#54712yes—
714C2×C4C2×AGL(1,ℤ/8)12yes—
715C2×C4C2×AGL(1,ℤ/8)12yes—
716C2×C4C2×#13712yes—
717C2×C4C2×#13712yes—
718C2×C4#57612yes—
719C2×C4#57712yes—
720C2×C4C22×#4111yescharacteristic
721C2×C4C22×#4112yes—
722C2×C4C2×2−1+411yescharacteristic
723C2×C4#58512yes—
724C8—24no—
725C8—42no—
726C8—42no—
727C8—42no—
728C22—22no—
729C22—22no—
730C22—22no—
731C22—22no—
732C22—22no—
733C22—22no—
734C22—22no—
735C22—22no—
736C22—22no—
737C22—41no—
738C22—41no—
739C22—41no—
740C22—41no—
741C22—82no—
742C22—82no—
743C22—82no—
744C22—82no—
745C22—82no—
746C22—82no—
747C22—82no—
748C22#314114yes—
749C22C22×#12411yescharacteristic
750C22C2×#54711yescharacteristic
751C22#350011yescharacteristic
752C22C22×AGL(1,ℤ/8)11yescharacteristic
753C22C22×#13711yescharacteristic
754C22C2×#57611yescharacteristic
755C22C2×#57711yescharacteristic
756C4—22no—
757C4—22no—
758C4—22no—
759C4—22no—
760C4—22no—
761C4—22no—
762C4—41no—
763C4—41no—
764C4—41no—
765C4—41no—
766C4—82no—
767C4—82no—
768C4—82no—
769C4—82no—
770C4—82no—
771C4—82no—
772C4—82no—
773C4#334514yes—
774C4#334614yes—
775C4#347512yes—
776C4#351512yes—
777C2—24no—
778C2—42no—
779C2—162no—
780C2#3616411yescharacteristic
781C2C2×#314111yescharacteristic
782C2#6062211yescharacteristic
783C2C2×#334511yescharacteristic
784C2C2×#334611yescharacteristic
785C2#6253511yescharacteristic
786C2#6254011yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36182C2
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
2. #36180C2semidirect
3. #33297C2semidirect
4. #33048C2semidirect
5. #33042C2semidirect
6. #29220C2semidirect
7. #29139C2semidirect
8. #27973C2semidirect
9. #27973C2semidirect
10. #27962C2semidirect
11. #27961C2semidirect
12. #27739C2semidirect
13. #27711C2semidirect
14. #27704C2semidirect
15. #22493C2semidirect
16. #21646C2semidirect
17. #20764C2semidirect
18. C2×#1834C2semidirect
19. C4×#435C2semidirect

Maximal subgroups

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

subgroupindex
#361822
#361802
#332972
#330482
#330422
#292202
#291392
#279732
#279622
#279612
#277392
#277112
#277042
#224932
#216462
#207642
C2×#18342
C4×#4352