Finite Group Databasebeta

← #6395241

Subgroups — #6395241

Order 512.

2342 conjugacy classes of subgroups.

The subgroup lattice has 762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3245C211yesmaximal, characteristic
2#34207C211yesmaximal, characteristic, complemented
3#34141C211yesmaximal, characteristic, complemented
4#23132C214yesmaximal, complemented
5#23099C212yesmaximal, complemented
6#23066C212yesmaximal, complemented
7#23029C214yesmaximal, complemented
8#23001C212yesmaximal, complemented
9#22968C212yesmaximal, complemented
10#22151C212yesmaximal, complemented
11#22116C212yesmaximal, complemented
12#21859C211yesmaximal, characteristic, complemented
13#21613C212yesmaximal, complemented
14#21503C212yesmaximal, complemented
15#21386C211yesmaximal, characteristic, complemented
16C2×#1948C211yesmaximal, characteristic, complemented
17#20547C211yesmaximal, characteristic, complemented
18C2×#532C2211yescharacteristic
19C2×#532C2211yescharacteristic
20C2×#520—21no—
21C2×C4×#41—21no—
22#3245C4116yescomplemented
23C2×#474C2212yes—
24C2×#474C2212yes—
25C2×#466C2214yes—
26C2×#459C2212yes—
27C2×#459C2212yes—
28C2×#442C2214yes—
29C2×#431C2211yescharacteristic
30C22×#106C2212yes—
31C22×C4⋊C8C2211yescharacteristic
32#2367—21no—
33#2367—21no—
34#2366C2211yescharacteristic
35#2366C2211yescharacteristic
36#2365C2211yescharacteristic
37#2365C2211yescharacteristic
38#2364—22no—
39#2361—22no—
40#2361C2212yes—
41#2361C2214yes—
42#2361C2212yes—
43#2354—21no—
44#2354C2212yes—
45D4×C4⋊C4—21no—
46D4×C4⋊C4C2212yes—
47#2326—22no—
48#2311—21no—
49C4×C4⋊Q8C2212yes—
50C4×#127C2212yes—
51#2297—21no—
52#2293C2212yes—
53#2290—22no—
54C2×#384C2211yescharacteristic
55C42×D4C2212yes—
56C4×#117C2211yescharacteristic
57C2×C4×C4⋊C4C2211yescharacteristic
58#1990C2212yes—
59#1988C2211yescharacteristic
60#1988C2211yescharacteristic
61#1982C2211yescharacteristic
62#1982C2211yescharacteristic
63#1972C2214yes—
64#1957C2212yes—
65#1948C2212yes—
66#1948C2212yes—
67#1948C2212yes—
68#1948C2212yes—
69#1943C2214yes—
70#1936C2214yes—
71#1936C2214yes—
72#1926C2214yes—
73#1926C2214yes—
74#1921C2214yes—
75#1921C2214yes—
76#1879C2214yes—
77#1879C2214yes—
78#1874C2212yes—
79#1874C2214yes—
80#1874C2212yes—
81#1864C2214yes—
82#1864C2214yes—
83#1802C2212yes—
84#1802C2212yes—
85#1776C2214yes—
86#1770C2212yes—
87#1770C2212yes—
88#1767C2212yes—
89#1767C2212yes—
90#1762C2214yes—
91#1762C2214yes—
92C4×#102C2212yes—
93C4×#102C2212yes—
94#1752C2214yes—
95C2×#340C2212yes—
96C22×#41—21no—
97C22×#41—21no—
98C22×D8C2314yes—
99C23×C8C2312yes—
100#532—24no—
101#532—24no—
102#532C2×C418yescomplemented
103#532C2×C418yescomplemented
104C2×C4⋊Q8C2311yescharacteristic
105C2×C4⋊Q8C2311yescharacteristic
106C2×#127C2311yescharacteristic
107C2×#127C2311yescharacteristic
108C2×#124—21no—
109C2×#124—21no—
110C2×#121—21no—
111C2×#121—21no—
112C2×#121C2312yes—
113C2×#121C2312yes—
114#520—48no—
115C4×#41—48no—
116C2×C4×Q8—21no—
117C2×C4×Q8—21no—
118C2×C4×Q8—22no—
119C2×C4×D4—21no—
120C2×C4×D4—21no—
121C2×C4×D4—24no—
122C2×C4×D4—22no—
123C2×C4×D4—22no—
124C2×C4×D4—21no—
125C2×C4×D4—21no—
126C2×C4×D4—22no—
127C2×C4×D4—22no—
128C2×C4×D4C2312yes—
129C2×C4×D4C2312yes—
130C2×C4×D4C2312yes—
131C2×C4×D4C2312yes—
132C2×C4×D4C2314yes—
133C2×#117—22no—
134C2×#117—22no—
135C2×#117D411yescharacteristic
136C2×#117D411yescharacteristic
137C22×C4⋊C4—21no—
138C22×C4⋊C4—21no—
139C22×C4⋊C4—22no—
140C22×C4⋊C4C2311yescharacteristic
141C22×C4⋊C4C2311yescharacteristic
142C22×C4⋊C4C2312yes—
143C22×C42—21no—
144C22×C42—22no—
145C22×C42C2311yescharacteristic
146#474C2×C4116yescomplemented
147#474C2×C4116yescomplemented
148#466C2×C4132yescomplemented
149#459C2×C4116yescomplemented
150#459C2×C4116yescomplemented
151#442—48no—
152#431—24no—
153C2×#107C2314yes—
154C2×#106—44no—
155C2×#106C2314yes—
156C2×#106C2314yes—
157C2×C4⋊C8C2×C418yescomplemented
158C2×C4⋊C8C2311yescharacteristic
159C2×C4⋊C8C2311yescharacteristic
160C2×C4⋊C8C2312yes—
161C2×C4⋊C8C2312yes—
162C2×#102C2312yes—
163C2×#102C2312yes—
164C2×#102C2314yes—
165C2×#102C2314yes—
166C2×#102C2312yes—
167C2×#102C2312yes—
168C2×#102C2314yes—
169C2×#102C2314yes—
170C2×C22⋊C8C2312yes—
171C2×#97C2314yes—
172C2×#97C2314yes—
173C2×C4×C8C2312yes—
174#391—21no—
175#391—21no—
176#391—22no—
177#390—21no—
178#390—21no—
179#390—22no—
180#390—22no—
181#390C2314yes—
182#390C2312yes—
183#390C2312yes—
184#389—22no—
185#389C2314yes—
186#389C2312yes—
187#389C2312yes—
188#388—22no—
189#388—22no—
190#388—24no—
191#388—24no—
192#388—22no—
193#388—22no—
194#387—22no—
195#387—22no—
196#386—24no—
197#386—22no—
198#386—22no—
199#386—22no—
200#386—22no—
201#385—24no—
202#385—24no—
203#385—22no—
204#385—22no—
205#384—21no—
206#384—21no—
207#384C2312yes—
208#384C2312yes—
209#380—22no—
210#380—22no—
211C4×C4⋊C4—22no—
212C4×C4⋊C4—21no—
213C4×C4⋊C4—21no—
214C4×C4⋊C4D411yescharacteristic
215C4×C4⋊C4D411yescharacteristic
216C4×C4⋊C4C2314yes—
217C4×C4⋊C4C2312yes—
218C4×C4⋊C4C2312yes—
219C4×C4⋊C4C2311yescharacteristic
220C4×C4⋊C4C2311yescharacteristic
221C4×C4⋊C4C2311yescharacteristic
222C4×C4⋊C4C2311yescharacteristic
223C4×C4⋊C4C2311yescharacteristic
224C4×C4⋊C4C2311yescharacteristic
225C4×C22⋊C4—22no—
226C4×C22⋊C4—22no—
227C4×C22⋊C4—22no—
228C4×C22⋊C4—22no—
229C4×C22⋊C4D412yes—
230C4×C22⋊C4C2312yes—
231#376D412yes—
232C2×#95—21no—
233C43C2312yes—
234#340C2314yes—
235#340C2314yes—
236#340C2312yes—
237#340C2312yes—
238#340C2312yes—
239#340C2312yes—
240#340C2314yes—
241#340C2314yes—
242#336C2314yes—
243#336C2314yes—
244C2×#41—28no—
245C2×#41—28no—
246C2×#41—44no—
247C2×#41—44no—
248C2×#41—44no—
249C2×#41—44no—
250C22×Q8—21no—
251C22×Q8—21no—
252C22×D4—22no—
253C22×D4—22no—
254C22×D4—21no—
255C22×D4—21no—
256C22×D4—21no—
257C22×D4—21no—
258C22×D4C2412yes—
259C22×D4C2412yes—
260C23×C4—22no—
261C23×C4—22no—
262C23×C4—21no—
263C23×C4—21no—
264C23×C4—22no—
265C23×C4—22no—
266C23×C4—22no—
267C23×C4—24no—
268C23×C4C2×D411yescharacteristic
269C23×C4C2×D411yescharacteristic
270C23×C4C2411yescharacteristic
271C2×D8—44no—
272C2×D8—44no—
273C2×D8C22×C4116yes—
274C22×C8—42no—
275C22×C8—42no—
276C22×C8C22×C418yes—
277C22×C8C2412yes—
278C22×C8C2412yes—
279C22×C8C2414yes—
280C4⋊Q8—22no—
281C4⋊Q8—22no—
282C4⋊Q8C22×C414yes—
283C4⋊Q8C22×C414yes—
284#127—22no—
285#127—22no—
286#127C22×C414yes—
287#127C22×C414yes—
288#124—28no—
289#124—28no—
290#121—28no—
291#121—28no—
292#121—24no—
293#121—24no—
294#121C22×C418yes—
295#121C22×C418yes—
296C4×Q8—48no—
297C4×Q8—44no—
298C4×Q8—44no—
299C4×D4—24no—
300C4×D4—24no—
301C4×D4—28no—
302C4×D4—28no—
303C4×D4—24no—
304C4×D4—24no—
305C4×D4—42no—
306C4×D4—42no—
307C4×D4—48no—
308C4×D4—44no—
309C4×D4—44no—
310C4×D4—48no—
311C4×D4—48no—
312C4×D4—416no—
313C4×D4—44no—
314C4×D4—44no—
315C4×D4—84no—
316C4×D4C22×C418yes—
317C4×D4C22×C418yes—
318#117—24no—
319#117—24no—
320#117—48no—
321#117—48no—
322C2×C4⋊C4—21no—
323C2×C4⋊C4—21no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—22no—
328C2×C4⋊C4—24no—
329C2×C4⋊C4—22no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—22no—
335C2×C4⋊C4—22no—
336C2×C4⋊C4—41no—
337C2×C4⋊C4—41no—
338C2×C4⋊C4—42no—
339C2×C4⋊C4—42no—
340C2×C4⋊C4—48no—
341C2×C4⋊C4—44no—
342C2×C4⋊C4—82no—
343C2×C4⋊C4C2×D411yescharacteristic
344C2×C4⋊C4C2×D411yescharacteristic
345C2×C4⋊C4C2×D411yescharacteristic
346C2×C4⋊C4C2×D411yescharacteristic
347C2×C4⋊C4C2414yes—
348C2×C4⋊C4C2411yescharacteristic
349C2×C4⋊C4C2411yescharacteristic
350C2×C4⋊C4C2412yes—
351C2×C4⋊C4C2412yes—
352C2×C4⋊C4C2411yescharacteristic
353C2×C4⋊C4C2411yescharacteristic
354C2×C22⋊C4—22no—
355C2×C22⋊C4—22no—
356C2×C22⋊C4—22no—
357C2×C22⋊C4—22no—
358C2×C22⋊C4—22no—
359C2×C22⋊C4—22no—
360C2×C22⋊C4—24no—
361C2×C22⋊C4—22no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—24no—
364C2×C22⋊C4—24no—
365C2×C22⋊C4—22no—
366C2×C22⋊C4—22no—
367C2×C22⋊C4C2×D412yes—
368C2×C22⋊C4C2×D412yes—
369C2×C42—21no—
370C2×C42—24no—
371C2×C42—22no—
372C2×C42—22no—
373C2×C42—21no—
374C2×C42—21no—
375C2×C42—21no—
376C2×C42—48no—
377C2×C42—44no—
378C2×C42C22×C414yes—
379C2×C42C2×D412yes—
380C2×C42C2×D412yes—
381C2×C42C2×D412yes—
382C2×C42C2×D412yes—
383C2×C42C2×D411yescharacteristic
384C2×C42C2×D411yescharacteristic
385C2×C42#4114yes—
386C2×C42C2412yes—
387C2×C42C2412yes—
388C2×C42C2411yescharacteristic
389C2×C42C2411yescharacteristic
390#107C22×C4116yes—
391#106—28no—
392#106—44no—
393C4⋊C8—22no—
394C4⋊C8—22no—
395C4⋊C8C22×C418yes—
396C4⋊C8C22×C418yes—
397#102—24no—
398#102—24no—
399#102—42no—
400#102—42no—
401#102—44no—
402#102—44no—
403#102C22×C4116yes—
404#102C22×C4116yes—
405C22⋊C8—24no—
406#97—44no—
407#97—44no—
408C4×C8—24no—
409#95—21no—
410#95—21no—
411#95—21no—
412#95—21no—
413#95—22no—
414#95—22no—
415#95—22no—
416#95—22no—
417#95—24no—
418#95—24no—
419#95C2×D412yes—
420#95C2×D412yes—
421#95C2×D412yes—
422#95C2×D412yes—
423C24—22no—
424C24—22no—
425C24C22×D411yescharacteristic
426#41—432no—
427#41—432no—
428C2×Q8—24no—
429C2×Q8—24no—
430C2×Q8—42no—
431C2×Q8—42no—
432C2×Q8—42no—
433C2×Q8—42no—
434C2×D4—28no—
435C2×D4—28no—
436C2×D4—24no—
437C2×D4—24no—
438C2×D4—24no—
439C2×D4—24no—
440C2×D4—22no—
441C2×D4—22no—
442C2×D4—22no—
443C2×D4—22no—
444C2×D4—22no—
445C2×D4—22no—
446C2×D4—22no—
447C2×D4—22no—
448C2×D4—22no—
449C2×D4—22no—
450C2×D4—42no—
451C2×D4—42no—
452C2×D4—44no—
453C2×D4—44no—
454C2×D4—44no—
455C2×D4—44no—
456C2×D4—42no—
457C2×D4—42no—
458C2×D4—42no—
459C2×D4—42no—
460C2×D4—81no—
461C2×D4—81no—
462C2×D4C23×C414yes—
463C2×D4C23×C414yes—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—28no—
473C22×C4—28no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—24no—
477C22×C4—41no—
478C22×C4—41no—
479C22×C4—44no—
480C22×C4—44no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—44no—
484C22×C4—44no—
485C22×C4—48no—
486C22×C4—44no—
487C22×C4—44no—
488C22×C4—44no—
489C22×C4—44no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—44no—
493C22×C4—82no—
494C22×C4—82no—
495C22×C4—84no—
496C22×C4—84no—
497C22×C4—81no—
498C22×C4—81no—
499C22×C4—82no—
500C22×C4—82no—
501C22×C4C4×D414yes—
502C22×C4C4×D414yes—
503C22×C4AGL(1,ℤ/8)14yes—
504C22×C4AGL(1,ℤ/8)14yes—
505C22×C4C23×C412yes—
506C22×C4C22×D412yes—
507C22×C4C22×D412yes—
508C22×C4C22×D412yes—
509C22×C4C22×D412yes—
510C22×C4C22×D411yescharacteristic
511C22×C4C22×D411yescharacteristic
512C22×C4C22×D411yescharacteristic
513C22×C4C22×D411yescharacteristic
514C22×C4C22×D411yescharacteristic
515C22×C4C2×#4112yes—
516C22×C4C2511yescharacteristic
517D8—416no—
518C2×C8—24no—
519C2×C8—24no—
520C2×C8—22no—
521C2×C8—22no—
522C2×C8—22no—
523C2×C8—22no—
524C2×C8—22no—
525C2×C8—22no—
526C2×C8—48no—
527C2×C8C23×C418yes—
528C4⋊C4—24no—
529C4⋊C4—24no—
530C4⋊C4—22no—
531C4⋊C4—22no—
532C4⋊C4—22no—
533C4⋊C4—22no—
534C4⋊C4—22no—
535C4⋊C4—22no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—24no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—24no—
544C4⋊C4—42no—
545C4⋊C4—42no—
546C4⋊C4—48no—
547C4⋊C4—44no—
548C4⋊C4—44no—
549C4⋊C4—44no—
550C4⋊C4—44no—
551C4⋊C4—44no—
552C4⋊C4—82no—
553C4⋊C4—82no—
554C4⋊C4C23×C414yes—
555C4⋊C4C23×C414yes—
556C4⋊C4H(5,𝔽2)12yes—
557C4⋊C42−1+412yes—
558C22⋊C4—24no—
559C22⋊C4—24no—
560C22⋊C4—28no—
561C22⋊C4—28no—
562C22⋊C4—28no—
563C22⋊C4—28no—
564C22⋊C4—44no—
565C22⋊C4—44no—
566C22⋊C4—48no—
567C22⋊C4—44no—
568C22⋊C4—44no—
569C22⋊C4—82no—
570C22⋊C4—82no—
571C22⋊C4—84no—
572C22⋊C4—84no—
573C42—24no—
574C42—24no—
575C42—22no—
576C42—22no—
577C42—22no—
578C42—22no—
579C42—42no—
580C42—42no—
581C42—44no—
582C42—44no—
583C42—48no—
584C42—42no—
585C42—42no—
586C42—42no—
587C42—42no—
588C42C4×D414yes—
589C42C4×D414yes—
590C42C23×C412yes—
591C42C23×C412yes—
592C42C2×#4112yes—
593C42C2×#4112yes—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—24no—
599C23—24no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23C2×C4×D412yes—
613C23C2×AGL(1,ℤ/8)12yes—
614C23C2×AGL(1,ℤ/8)12yes—
615C23C23×D411yescharacteristic
616Q8—48no—
617Q8—48no—
618D4—24no—
619D4—24no—
620D4—24no—
621D4—24no—
622D4—48no—
623D4—416no—
624D4—416no—
625D4—48no—
626D4—48no—
627D4—42no—
628D4—42no—
629D4—42no—
630D4—42no—
631D4—84no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—44no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—416no—
668C2×C4—416no—
669C2×C4—41no—
670C2×C4—44no—
671C2×C4—41no—
672C2×C4—44no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—44no—
678C2×C4—88no—
679C2×C4—88no—
680C2×C4—84no—
681C2×C4—84no—
682C2×C4—168no—
683C2×C4—164no—
684C2×C4#442116yescomplemented
685C2×C4C2×C4×D412yes—
686C2×C4C2×C4×D412yes—
687C2×C4C2×C4×D412yes—
688C2×C4C2×C4×D412yes—
689C2×C4C2×C4×D412yes—
690C2×C4C2×AGL(1,ℤ/8)12yes—
691C2×C4C2×AGL(1,ℤ/8)12yes—
692C2×C4C2×AGL(1,ℤ/8)12yes—
693C2×C4C2×AGL(1,ℤ/8)12yes—
694C2×C4C24×C411yescharacteristic
695C2×C4C22×#4111yescharacteristic
696C2×C4C2×H(5,𝔽2)11yescharacteristic
697C2×C4C2×2−1+411yescharacteristic
698C2×C4#58511yescharacteristic
699C2×C4#58511yescharacteristic
700C8—28no—
701C8—42no—
702C8—42no—
703C22—22no—
704C22—22no—
705C22—22no—
706C22—22no—
707C22—22no—
708C22—22no—
709C22—44no—
710C22—44no—
711C22—44no—
712C22—44no—
713C22—44no—
714C22—44no—
715C22—82no—
716C22—82no—
717C22—82no—
718C22—82no—
719C22—82no—
720C22—82no—
721C22—82no—
722C22—82no—
723C22C2×#44214yes—
724C22C22×C4×D411yescharacteristic
725C22#348811yescharacteristic
726C22#348911yescharacteristic
727C22C22×AGL(1,ℤ/8)11yescharacteristic
728C22C22×AGL(1,ℤ/8)11yescharacteristic
729C22#358511yescharacteristic
730C22#358611yescharacteristic
731C4—22no—
732C4—22no—
733C4—22no—
734C4—42no—
735C4—42no—
736C4—42no—
737C4—42no—
738C4—42no—
739C4—42no—
740C4—44no—
741C4—44no—
742C4—81no—
743C4—84no—
744C4—81no—
745C4C2×#44214yes—
746C4C2×#44214yes—
747C4C4×H(5,𝔽2)11yescharacteristic
748C4C4×2−1+411yescharacteristic
749C4#351111yescharacteristic
750C4#351211yescharacteristic
751C2—24no—
752C2—84no—
753C2—84no—
754C2#3426711yescharacteristic
755C2C22×#44211yescharacteristic
756C2#6017011yescharacteristic
757C2#6196211yescharacteristic
758C2#6196311yescharacteristic
759C2#6211011yescharacteristic
760C2#6211111yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutatorC2×C4C24×C4
Frattini, cosocleC22×C4C25
prime radicalC2×#3245C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#117 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #34207C2semidirect
3. #34141C2semidirect
4. #23132C2semidirect
5. #23099C2semidirect
6. #23066C2semidirect
7. #23029C2semidirect
8. #23001C2semidirect
9. #22968C2semidirect
10. #22151C2semidirect
11. #22116C2semidirect
12. #21859C2semidirect
13. #21613C2semidirect
14. #21503C2semidirect
15. #21386C2semidirect
16. C2×#1948C2semidirect
17. #20547C2semidirect
22. #3245C4semidirect
102. #532C2×C4semidirect
103. #532C2×C4semidirect
146. #474C2×C4semidirect
147. #474C2×C4semidirect
148. #466C2×C4semidirect
149. #459C2×C4semidirect
150. #459C2×C4semidirect
157. C2×C4⋊C8C2×C4semidirect
684. C2×C4#442semidirect

Maximal subgroups

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

subgroupindex
C2×#32452
#342072
#341412
#231322
#230992
#230662
#230292
#230012
#229682
#221512
#221162
#218592
#216132
#215032
#213862
C2×#19482
#205472