Finite Group Databasebeta

← #6467142

Subgroups — #6467142

Order 512.

2164 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
1C2×#3116C212yesmaximal, complemented
2C4×#533C211yesmaximal, characteristic, complemented
3C4×#532C211yesmaximal, characteristic
4#28282C212yesmaximal, complemented
5#28254C212yesmaximal, complemented
6#28206C211yesmaximal, characteristic, complemented
7#28202C211yesmaximal, characteristic, complemented
8#28161C211yesmaximal, characteristic, complemented
9#28157C211yesmaximal, characteristic, complemented
10#28122C214yesmaximal, complemented
11#27652C212yesmaximal, complemented
12#24216C212yesmaximal
13#23685C212yesmaximal, complemented
14#23684C212yesmaximal, complemented
15#21508C214yesmaximal, complemented
16#20810C211yesmaximal, characteristic, complemented
17#20743C212yesmaximal, complemented
18C2×#533C2211yescharacteristic
19C2×#532C2211yescharacteristic
20C2×C4×#41C2212yes—
21#3116—216no—
22C2×#485C2214yes—
23C2×#477C2212yes—
24C2×#476C2212yes—
25C2×#464C2214yes—
26C2×#462C2212yes—
27C2×#461C2212yes—
28C2×#452C2214yes—
29C2×#441C2214yes—
30C2×#440C2214yes—
31C2×#432C2212yes—
32C4×C4⋊Q8C2211yescharacteristic
33C4×C4⋊Q8C2211yescharacteristic
34C4×C4⋊Q8C2211yescharacteristic
35C4×C4⋊Q8C2211yescharacteristic
36C4×C4⋊Q8C2211yescharacteristic
37C4×C4⋊Q8C2211yescharacteristic
38C4×#127C2211yescharacteristic
39C4×#127C2211yescharacteristic
40C4×#125—21no—
41C4×#125—21no—
42C4×#124C2212yes—
43C4×#124C2212yes—
44C4×C22⋊Q8—21no—
45C4×C22⋊Q8—21no—
46C4×C22⋊Q8C2212yes—
47C4×C22⋊Q8C2212yes—
48C4×#121—21no—
49C4×#121—21no—
50C4×#121—21no—
51C4×#121—21no—
52#2297C2212yes—
53#2296—21no—
54#2295—21no—
55#2295C2212yes—
56#2293—21no—
57#2293—21no—
58#2285C2211yescharacteristic
59#2285C2211yescharacteristic
60C42×Q8—21no—
61C42×Q8C2212yes—
62C42×D4—21no—
63C42×D4—21no—
64C4×#117—21no—
65C2×C43C2211yescharacteristic
66#2084C2212yes—
67#2083C2212yes—
68#2072C2212yes—
69#2072C2212yes—
70#2067C2214yes—
71#2066C2214yes—
72#2056C2214yes—
73#2055C2214yes—
74#2043C2212yes—
75#2041C2212yes—
76#2016C2212yes—
77#2014C2212yes—
78#1983C2214yes—
79#1949C2214yes—
80#1928C2214yes—
81#1926C2214yes—
82#1880C2214yes—
83#1878C2214yes—
84#1842C2212yes—
85#1831C2211yescharacteristic
86#1831C2211yescharacteristic
87#1825C2214yes—
88#1805C2214yes—
89#1803C2212yes—
90#1803C2212yes—
91#1802C2212yes—
92#1802C2212yes—
93#1797C2212yes—
94#1797C2212yes—
95#1788C2214yes—
96#1767C2212yes—
97#1767C2212yes—
98#1763C2214yes—
99#1762C2214yes—
100C22×#41C2312yes—
101C22×Q16C2314yes—
102C22×SD16C2314yes—
103#533—24no—
104#533D418yescomplemented
105#532—28no—
106C2×C4⋊Q8C2311yescharacteristic
107C2×C4⋊Q8C2311yescharacteristic
108C2×C4⋊Q8C2311yescharacteristic
109C2×#127C2311yescharacteristic
110C2×#125—21no—
111C2×#124C2312yes—
112C2×C22⋊Q8—21no—
113C2×C22⋊Q8C2312yes—
114C2×#121—21no—
115C2×#121—21no—
116C4×#41—28no—
117C4×#41—28no—
118C2×C4×Q8—21no—
119C2×C4×Q8—21no—
120C2×C4×Q8—21no—
121C2×C4×Q8C2312yes—
122C2×C4×Q8C2312yes—
123C2×C4×Q8C2312yes—
124C2×C4×Q8C2312yes—
125C2×C4×Q8C2312yes—
126C2×C4×D4—22no—
127C2×C4×D4—22no—
128C2×C4×D4—21no—
129C2×C4×D4—21no—
130C2×C4×D4—21no—
131C2×C4×D4—21no—
132C2×C4×D4—21no—
133C2×C4×D4—21no—
134C2×C4×D4C2312yes—
135C2×C4×D4C2312yes—
136C2×#117—21no—
137C2×#117—21no—
138C2×#117—22no—
139C2×#117C2312yes—
140C22×C42—22no—
141C22×C42D411yescharacteristic
142C22×C42D411yescharacteristic
143C22×C42D411yescharacteristic
144C22×C42D411yescharacteristic
145C22×C42C2311yescharacteristic
146C22×C42C2311yescharacteristic
147C22×C42C2311yescharacteristic
148#485—216no—
149#477—28no—
150#476—28no—
151#464—216no—
152#462—28no—
153#461—28no—
154#452—216no—
155#441—216no—
156#440—216no—
157#432—28no—
158C2×#107C2314yes—
159C2×#106C2314yes—
160C2×C4⋊C8C2312yes—
161C2×C4⋊C8C2314yes—
162C2×C4⋊C8C2312yes—
163C2×C4⋊C8C2314yes—
164C2×#103C2314yes—
165C2×#103C2314yes—
166C2×#103C2314yes—
167C2×#103C2314yes—
168C2×#103C2314yes—
169C2×#102C2314yes—
170C2×#102C2314yes—
171C2×#102C2314yes—
172C2×C22⋊C8C2314yes—
173C2×#97C2314yes—
174#391—21no—
175#391—21no—
176#391C2312yes—
177#391C2312yes—
178#391C2312yes—
179#391C2312yes—
180#390—21no—
181#390—21no—
182#390—21no—
183#390—21no—
184#390C2312yes—
185#390C2312yes—
186#389—21no—
187#389—21no—
188#389—21no—
189#389—21no—
190#389—21no—
191#389—21no—
192#389—21no—
193#389—21no—
194#389—21no—
195#389—21no—
196#389C2312yes—
197#389C2312yes—
198#388—22no—
199#388—22no—
200#388—22no—
201#388—22no—
202#387—22no—
203#387—22no—
204#387—22no—
205#387—22no—
206#386—22no—
207#386—22no—
208#385—22no—
209#385—22no—
210#384C2311yescharacteristic
211#384C2311yescharacteristic
212#384C2311yescharacteristic
213#384C2311yescharacteristic
214#382—21no—
215#382C2312yes—
216#380—21no—
217#380—21no—
218#380—21no—
219#380C2312yes—
220C4×C4⋊C4—21no—
221C4×C4⋊C4—21no—
222C4×C4⋊C4—21no—
223C4×C4⋊C4—21no—
224C4×C4⋊C4—22no—
225C4×C4⋊C4—22no—
226C4×C4⋊C4—22no—
227C4×C4⋊C4—22no—
228C4×C4⋊C4—21no—
229C4×C4⋊C4—21no—
230C4×C4⋊C4—21no—
231C4×C4⋊C4—21no—
232C4×C4⋊C4—21no—
233C4×C4⋊C4—21no—
234C4×C4⋊C4—21no—
235C4×C4⋊C4—21no—
236C4×C4⋊C4—21no—
237C4×C4⋊C4—22no—
238C4×C4⋊C4—22no—
239C4×C4⋊C4C2312yes—
240C4×C4⋊C4C2312yes—
241C4×C4⋊C4C2312yes—
242C4×C22⋊C4—22no—
243C4×C22⋊C4—22no—
244C4×C22⋊C4—22no—
245C4×C22⋊C4—22no—
246C4×C22⋊C4—22no—
247C4×C22⋊C4—22no—
248C4×C22⋊C4—22no—
249C4×C22⋊C4—22no—
250#376—22no—
251C43—22no—
252C43D411yescharacteristic
253C43D411yescharacteristic
254C43D411yescharacteristic
255C43D411yescharacteristic
256C43C2311yescharacteristic
257C43C2311yescharacteristic
258C43C2311yescharacteristic
259C43C2311yescharacteristic
260#340C2314yes—
261#340C2314yes—
262#340C2314yes—
263#340C2314yes—
264#336C2312yes—
265#336C2312yes—
266#336C2312yes—
267#336C2312yes—
268C2×#41—24no—
269C2×#41—24no—
270C2×#41—24no—
271C2×#41—24no—
272C2×#41—42no—
273C2×#41—42no—
274C22×Q8—21no—
275C22×Q8C2412yes—
276C22×Q8C2412yes—
277C22×D4—22no—
278C22×D4—21no—
279C22×D4—21no—
280C22×D4C2412yes—
281C23×C4—22no—
282C23×C4—22no—
283C23×C4—22no—
284C23×C4C2×D411yescharacteristic
285C23×C4C2×D411yescharacteristic
286C23×C4C2×D411yescharacteristic
287C23×C4C2×D411yescharacteristic
288C23×C4C2×D411yescharacteristic
289C23×C4C2×D411yescharacteristic
290C23×C4C2411yescharacteristic
291C2×Q16—28no—
292C2×Q16—28no—
293C2×Q16—44no—
294C2×SD16—28no—
295C2×SD16—28no—
296C2×SD16—44no—
297C22×C8C2414yes—
298C22×C8C2414yes—
299C4⋊Q8—24no—
300C4⋊Q8—22no—
301C4⋊Q8—22no—
302C4⋊Q8C2×D414yes—
303C4⋊Q8C2×D414yes—
304#127—24no—
305#125—28no—
306#124—24no—
307#124#4118yes—
308C22⋊Q8—28no—
309C22⋊Q8—24no—
310C22⋊Q8C2×D418yes—
311#121—28no—
312#121—28no—
313C4×Q8—28no—
314C4×Q8—24no—
315C4×Q8—24no—
316C4×Q8—24no—
317C4×Q8—24no—
318C4×Q8—24no—
319C4×Q8—28no—
320C4×Q8—44no—
321C4×Q8—44no—
322C4×Q8—44no—
323C4×Q8C2×D418yes—
324C4×D4—28no—
325C4×D4—28no—
326C4×D4—24no—
327C4×D4—24no—
328C4×D4—24no—
329C4×D4—24no—
330C4×D4—44no—
331C4×D4—44no—
332C4×D4—44no—
333C4×D4—48no—
334C4×D4—48no—
335C4×D4—44no—
336#117—28no—
337#117—24no—
338#117—24no—
339#117—44no—
340#117—48no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—21no—
343C2×C4⋊C4—21no—
344C2×C4⋊C4—21no—
345C2×C4⋊C4—21no—
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—21no—
353C2×C4⋊C4—21no—
354C2×C4⋊C4—21no—
355C2×C4⋊C4—21no—
356C2×C4⋊C4—21no—
357C2×C4⋊C4—21no—
358C2×C4⋊C4—22no—
359C2×C4⋊C4—22no—
360C2×C4⋊C4—22no—
361C2×C4⋊C4—22no—
362C2×C4⋊C4C2412yes—
363C2×C4⋊C4C2412yes—
364C2×C4⋊C4C2412yes—
365C2×C4⋊C4C2412yes—
366C2×C4⋊C4C2412yes—
367C2×C22⋊C4—22no—
368C2×C22⋊C4—22no—
369C2×C22⋊C4—22no—
370C2×C22⋊C4—22no—
371C2×C22⋊C4—22no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—22no—
374C2×C22⋊C4—22no—
375C2×C22⋊C4—22no—
376C2×C22⋊C4—22no—
377C2×C22⋊C4—22no—
378C2×C42—22no—
379C2×C42—24no—
380C2×C42—24no—
381C2×C42—22no—
382C2×C42—22no—
383C2×C42—22no—
384C2×C42—22no—
385C2×C42—22no—
386C2×C42—22no—
387C2×C42—22no—
388C2×C42—22no—
389C2×C42—42no—
390C2×C42—42no—
391C2×C42—42no—
392C2×C42—42no—
393C2×C42—48no—
394C2×C42C2×D411yescharacteristic
395C2×C42C2×D411yescharacteristic
396C2×C42C2×D411yescharacteristic
397C2×C42C2×D411yescharacteristic
398C2×C42C2×D411yescharacteristic
399C2×C42C2×D411yescharacteristic
400C2×C42C2×D411yescharacteristic
401C2×C42C2×D411yescharacteristic
402C2×C42C2×D411yescharacteristic
403C2×C42C2×D411yescharacteristic
404C2×C42C2×D411yescharacteristic
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×C42C2×D411yescharacteristic
414C2×C42C2×D411yescharacteristic
415C2×C42C2×D414yes—
416C2×C42C2×D411yescharacteristic
417C2×C42#4114yes—
418C2×C42C2411yescharacteristic
419C2×C42C2411yescharacteristic
420C2×C42C2411yescharacteristic
421C2×C42C2411yescharacteristic
422C2×C42C2411yescharacteristic
423C2×C42C2411yescharacteristic
424#107—28no—
425#106—28no—
426C4⋊C8—24no—
427C4⋊C8—24no—
428C4⋊C8—28no—
429C4⋊C8—44no—
430#103—28no—
431#103—28no—
432#103—28no—
433#103—28no—
434#103—44no—
435#102—28no—
436#102—28no—
437#102—44no—
438C22⋊C8—28no—
439#97—28no—
440#95—22no—
441#95—22no—
442#95—22no—
443#95—22no—
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—
456C24—22no—
457C24C22×D411yescharacteristic
458#41—48no—
459#41—48no—
460#41—48no—
461#41—48no—
462C2×Q8—24no—
463C2×Q8—22no—
464C2×Q8—22no—
465C2×Q8—22no—
466C2×Q8—22no—
467C2×Q8—24no—
468C2×Q8—22no—
469C2×Q8—24no—
470C2×Q8—22no—
471C2×Q8—42no—
472C2×Q8—42no—
473C2×Q8C22×D414yes—
474C2×Q8C2×#4114yes—
475C2×D4—24no—
476C2×D4—24no—
477C2×D4—28no—
478C2×D4—22no—
479C2×D4—22no—
480C2×D4—22no—
481C2×D4—22no—
482C2×D4—22no—
483C2×D4—42no—
484C2×D4—42no—
485C2×D4—44no—
486C2×D4—44no—
487C2×D4—42no—
488C2×D4—42no—
489C2×D4C2×#4114yes—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—28no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
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—41no—
509C22×C4—41no—
510C22×C4—41no—
511C22×C4—41no—
512C22×C4—41no—
513C22×C4—41no—
514C22×C4—41no—
515C22×C4—41no—
516C22×C4—44no—
517C22×C4—44no—
518C22×C4—44no—
519C22×C4—44no—
520C22×C4—44no—
521C22×C4—44no—
522C22×C4—44no—
523C22×C4—44no—
524C22×C4#12114yes—
525C22×C4#12114yes—
526C22×C4C22×D411yescharacteristic
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D411yescharacteristic
531C22×C4C22×D411yescharacteristic
532C22×C4C22×D412yes—
533C22×C4C22×D411yescharacteristic
534C22×C4C22×D411yescharacteristic
535C22×C4C22×D411yescharacteristic
536C22×C4C22×D411yescharacteristic
537C22×C4C22×D411yescharacteristic
538C22×C4C22×D411yescharacteristic
539C22×C4C22×D411yescharacteristic
540C22×C4C2×#4112yes—
541C22×C4C2511yescharacteristic
542Q16—416no—
543SD16—416no—
544C2×C8—24no—
545C2×C8—24no—
546C2×C8—24no—
547C2×C8—24no—
548C2×C8—24no—
549C2×C8—24no—
550C4⋊C4—24no—
551C4⋊C4—24no—
552C4⋊C4—24no—
553C4⋊C4—24no—
554C4⋊C4—24no—
555C4⋊C4—28no—
556C4⋊C4—28no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—24no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—24no—
564C4⋊C4—42no—
565C4⋊C4—42no—
566C4⋊C4—42no—
567C4⋊C4—42no—
568C4⋊C4—44no—
569C4⋊C4—44no—
570C4⋊C4—44no—
571C4⋊C4—44no—
572C4⋊C4—42no—
573C4⋊C4—42no—
574C4⋊C4—42no—
575C4⋊C4—42no—
576C4⋊C4—44no—
577C4⋊C4—44no—
578C4⋊C4C22×D414yes—
579C22⋊C4—28no—
580C22⋊C4—28no—
581C22⋊C4—28no—
582C22⋊C4—44no—
583C22⋊C4—44no—
584C22⋊C4—44no—
585C22⋊C4—44no—
586C22⋊C4—44no—
587C22⋊C4—44no—
588C22⋊C4—44no—
589C22⋊C4—44no—
590C42—28no—
591C42—22no—
592C42—22no—
593C42—22no—
594C42—22no—
595C42—22no—
596C42—22no—
597C42—22no—
598C42—22no—
599C42—22no—
600C42—22no—
601C42—22no—
602C42—22no—
603C42—22no—
604C42—22no—
605C42—41no—
606C42—41no—
607C42—41no—
608C42—41no—
609C42—41no—
610C42—41no—
611C42—41no—
612C42—41no—
613C42—44no—
614C42—44no—
615C42—44no—
616C42—44no—
617C42—44no—
618C42—44no—
619C42—44no—
620C42—44no—
621C42#12114yes—
622C42#12114yes—
623C42#13714yes—
624C42C22×D412yes—
625C42C22×D412yes—
626C42C2×#4112yes—
627C42C2×#4112yes—
628C42C2×#4114yes—
629C23—21no—
630C23—21no—
631C23—21no—
632C23—21no—
633C23—21no—
634C23—21no—
635C23—24no—
636C23—42no—
637C23—42no—
638C23—42no—
639C23—42no—
640C23—42no—
641C23—42no—
642C23C2×#12112yes—
643C23C23×D411yescharacteristic
644Q8—28no—
645Q8—24no—
646Q8—24no—
647Q8—48no—
648Q8—42no—
649Q8—44no—
650Q8—42no—
651D4—24no—
652D4—24no—
653D4—48no—
654D4—48no—
655D4—416no—
656D4—42no—
657D4—42no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
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—24no—
679C2×C4—24no—
680C2×C4—28no—
681C2×C4—24no—
682C2×C4—24no—
683C2×C4—24no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—44no—
691C2×C4—44no—
692C2×C4—44no—
693C2×C4—44no—
694C2×C4—44no—
695C2×C4—416no—
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—42no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—42no—
713C2×C4—42no—
714C2×C4—88no—
715C2×C4—88no—
716C2×C4C2×#12112yes—
717C2×C4C2×#12112yes—
718C2×C4C2×#12112yes—
719C2×C4C2×#12112yes—
720C2×C4C2×#12112yes—
721C2×C4#52512yes—
722C2×C4#52512yes—
723C2×C4C2×#13712yes—
724C2×C4C2×#13712yes—
725C2×C4C2×#13712yes—
726C2×C4#57512yes—
727C2×C4#57512yes—
728C2×C4#57512yes—
729C2×C4C23×D411yescharacteristic
730C2×C4C22×#4112yes—
731C2×C4C22×#4111yescharacteristic
732C2×C4#58512yes—
733C8—44no—
734C8—44no—
735C22—22no—
736C22—22no—
737C22—22no—
738C22—41no—
739C22—41no—
740C22—41no—
741C22—41no—
742C22—44no—
743C22—44no—
744C22—44no—
745C22—82no—
746C22—82no—
747C22—82no—
748C22—82no—
749C22C22×#12111yescharacteristic
750C22C2×#52511yescharacteristic
751C22#344911yescharacteristic
752C22C22×#13711yescharacteristic
753C22C2×#57511yescharacteristic
754C22C2×#57511yescharacteristic
755C22C2×#57511yescharacteristic
756C4—22no—
757C4—22no—
758C4—22no—
759C4—22no—
760C4—22no—
761C4—22no—
762C4—22no—
763C4—22no—
764C4—22no—
765C4—22no—
766C4—41no—
767C4—41no—
768C4—44no—
769C4—44no—
770C4—44no—
771C4—82no—
772C4—82no—
773C4—82no—
774C4—82no—
775C4#303714yes—
776C4D4×#4112yes—
777C4#347512yes—
778C2—42no—
779C2—84no—
780C2#3493511yescharacteristic
781C2C2×#303711yescharacteristic
782C2#6041511yescharacteristic
783C2#6054611yescharacteristic
784C2#6056211yescharacteristic
785C2#6096111yescharacteristic
786C2#6096611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#532C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C43 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3116C2semidirect
2. C4×#533C2semidirect
4. #28282C2semidirect
5. #28254C2semidirect
6. #28206C2semidirect
7. #28202C2semidirect
8. #28161C2semidirect
9. #28157C2semidirect
10. #28122C2semidirect
11. #27652C2semidirect
13. #23685C2semidirect
14. #23684C2semidirect
15. #21508C2semidirect
16. #20810C2semidirect
17. #20743C2semidirect
104. #533D4semidirect

Maximal subgroups

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

subgroupindex
C2×#31162
C4×#5332
C4×#5322
#282822
#282542
#282062
#282022
#281612
#281572
#281222
#276522
#242162
#236852
#236842
#215082
#208102
#207432