Finite Group Databasebeta

← #6479612

Subgroups — #6479612

Order 512.

1878 conjugacy classes of subgroups.

The subgroup lattice has 790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36635C211yesmaximal, characteristic, complemented
2C2×C4×#124C211yesmaximal, characteristic
3#32957C211yesmaximal, characteristic, complemented
4#32956C211yesmaximal, characteristic
5#32906C211yesmaximal, characteristic, complemented
6#32905C211yesmaximal, characteristic
7#29913C212yesmaximal, complemented
8#29626C212yesmaximal
9#29502C214yesmaximal, complemented
10#29374C214yesmaximal, complemented
11#29131C212yesmaximal, complemented
12#28384C212yesmaximal, complemented
13#28204C212yesmaximal, complemented
14#28159C212yesmaximal, complemented
15#22050C212yesmaximal, complemented
16#22049C212yesmaximal
17#20778C211yesmaximal, characteristic, complemented
18C22×#124C2211yescharacteristic
19C22×C4×Q8C2211yescharacteristic
20C22×C4×D4C2211yescharacteristic
21C2×#477C2212yescomplemented
22C2×#476C2212yes—
23C2×#462C2212yescomplemented
24C2×#461C2212yes—
25C2×#451C2212yes—
26C2×#450C2212yes—
27#2864—21no—
28#2863—21no—
29#2863C2212yescomplemented
30#2862C2211yescharacteristic, complemented
31#2859C2211yescharacteristic, complemented
32#2857C2211yescharacteristic
33#2857C2211yescharacteristic
34#2855—21no—
35#2855C2212yes—
36#2851—21no—
37C4×C4⋊Q8C2211yescharacteristic, complemented
38C4×C4⋊Q8C2211yescharacteristic, complemented
39C4×#125—21no—
40C4×#124—21no—
41C4×#124—21no—
42C4×#124—21no—
43C4×#124—21no—
44C4×#124C2212yes—
45C4×#124C2212yes—
46C4×#124C2212yes—
47C4×#124C2212yes—
48C4×C22⋊Q8—21no—
49C4×C22⋊Q8C2212yes—
50#2295—21no—
51#2295C2212yescomplemented
52C2×#391C2211yescharacteristic
53C2×#390C2211yescharacteristic
54C2×#388—21no—
55C2×#388—21no—
56#2283—21no—
57C2×#382C2211yescharacteristic
58C2×C4×C22⋊C4—21no—
59C2×C4×C22⋊C4—21no—
60C2×C43C2211yescharacteristic
61#2101C2214yescomplemented
62#2097C2214yescomplemented
63#2085C2214yescomplemented
64#2074C2214yescomplemented
65#2042C2214yes—
66#2042C2214yes—
67#2015C2214yes—
68#2015C2214yes—
69#1973C2214yes—
70#1971C2214yescomplemented
71#1936C2214yes—
72#1935C2214yescomplemented
73#1927C2214yescomplemented
74#1925C2214yes—
75#1880C2214yes—
76#1878C2214yescomplemented
77#1878C2214yescomplemented
78#1877C2214yes—
79#1872C2212yes—
80#1872C2212yes—
81#1864C2214yes—
82#1863C2214yescomplemented
83#1853C2212yes—
84#1852C2212yes—
85#1839C2212yescomplemented
86#1831C2212yescomplemented
87#1817C2212yes—
88#1803C2212yescomplemented
89#1803C2212yescomplemented
90#1802C2212yes—
91#1802C2212yes—
92#1797C2211yescharacteristic
93#1797C2211yescharacteristic
94#1787C2212yes—
95#1786C2212yes—
96#1767C2212yescomplemented
97#1749C2212yes—
98#1745C2212yescomplemented
99C23×Q8C2311yescharacteristic
100C23×D4C2311yescharacteristic
101C24×C4—21no—
102C22×Q16C2314yes—
103C22×SD16C2314yes—
104C2×C4⋊Q8C2311yescharacteristic
105C2×C4⋊Q8C2311yescharacteristic
106C2×#125—21no—
107C2×#124—24no—
108C2×#124—24no—
109C2×#124—21no—
110C2×#124—21no—
111C2×#124C2312yes—
112C2×#124C2312yes—
113C2×C22⋊Q8—21no—
114C2×C22⋊Q8C2312yes—
115C2×C4×Q8—21no—
116C2×C4×Q8—21no—
117C2×C4×Q8—21no—
118C2×C4×Q8—44no—
119C2×C4×Q8C2312yes—
120C2×C4×Q8C2312yes—
121C2×C4×Q8C2312yes—
122C2×C4×D4—21no—
123C2×C4×D4—21no—
124C2×C4×D4—44no—
125C2×C4×D4C2312yes—
126C2×C4×D4C2312yes—
127C22×C4⋊C4—21no—
128C22×C4⋊C4C2311yescharacteristic
129C22×C4⋊C4C2311yescharacteristic
130C22×C22⋊C4—21no—
131C22×C22⋊C4—21no—
132C22×C22⋊C4—21no—
133C22×C22⋊C4—21no—
134C22×C22⋊C4—21no—
135C22×C42—21no—
136C22×C42D411yescharacteristic
137C22×C42D411yescharacteristic
138C22×C42D411yescharacteristic
139C22×C42D411yescharacteristic
140C22×C42C2311yescharacteristic
141C22×C42C2311yescharacteristic
142C22×C42C2311yescharacteristic
143#477—44no—
144#476—44no—
145#462—44no—
146#461—44no—
147#451—28no—
148#450—28no—
149C2×#107C2314yes—
150C2×#106C2314yes—
151C2×C4⋊C8C2312yes—
152C2×C4⋊C8C2312yes—
153C2×#103C2314yes—
154C2×#103C2314yes—
155C2×#103C2314yes—
156C2×#103C2314yes—
157C2×#103C2314yes—
158C2×#102C2314yes—
159C2×#102C2314yes—
160C2×#102C2314yes—
161C2×C22⋊C8C2312yes—
162C2×C22⋊C8C2312yes—
163C2×#97C2314yes—
164#391—21no—
165#391—21no—
166#391—21no—
167#391—21no—
168#391—21no—
169#391—21no—
170#391C2312yes—
171#391C2312yes—
172#391C2312yes—
173#391C2312yes—
174#391C2312yes—
175#391C2312yes—
176#390—21no—
177#390—21no—
178#390C2312yes—
179#390C2312yes—
180#389—21no—
181#389—21no—
182#389—21no—
183#389—21no—
184#389—21no—
185#389—21no—
186#389—21no—
187#389—21no—
188#389C2312yes—
189#389C2312yes—
190#389C2312yes—
191#389C2312yes—
192#388—22no—
193#388—22no—
194#388—22no—
195#388—22no—
196#388—22no—
197#388—22no—
198#388—22no—
199#388—22no—
200#387—22no—
201#387—22no—
202#387—22no—
203#387—22no—
204#387—22no—
205#387—22no—
206#387—22no—
207#387—22no—
208#385—22no—
209#385—22no—
210#384C2311yescharacteristic
211#384C2311yescharacteristic
212#383—22no—
213#382—21no—
214#382—21no—
215#382—21no—
216#382—21no—
217#382—21no—
218#382C2312yes—
219#382C2312yes—
220#381—22no—
221#380—21no—
222#380—21no—
223#380—21no—
224#380C2312yes—
225C4×C4⋊C4—21no—
226C4×C4⋊C4—21no—
227C4×C4⋊C4—22no—
228C4×C4⋊C4—22no—
229C4×C4⋊C4—21no—
230C4×C4⋊C4C2312yes—
231C4×C22⋊C4—22no—
232C4×C22⋊C4—22no—
233C4×C22⋊C4—22no—
234C4×C22⋊C4—22no—
235C4×C22⋊C4—22no—
236C4×C22⋊C4—22no—
237C4×C22⋊C4—22no—
238C4×C22⋊C4—22no—
239C4×C22⋊C4—22no—
240#376—22no—
241C2×#95—21no—
242C2×#95—21no—
243C2×#95—21no—
244C2×#95—21no—
245C43D411yescharacteristic
246C43D411yescharacteristic
247C43D411yescharacteristic
248C43D411yescharacteristic
249C43C2311yescharacteristic
250C43C2311yescharacteristic
251C43C2311yescharacteristic
252C43C2311yescharacteristic
253#340C2314yes—
254#340C2314yes—
255#340C2314yes—
256#340C2314yes—
257#336C2312yes—
258#336C2312yes—
259#336C2314yes—
260#336C2314yes—
261#336C2314yes—
262C25—21no—
263C22×Q8—21no—
264C22×Q8—21no—
265C22×Q8—22no—
266C22×Q8—42no—
267C22×Q8—42no—
268C22×Q8#4114yes—
269C22×Q8C2412yes—
270C22×Q8C2412yes—
271C22×D4—21no—
272C22×D4—22no—
273C22×D4—42no—
274C22×D4—42no—
275C22×D4#4114yes—
276C22×D4C2412yes—
277C23×C4—21no—
278C23×C4—21no—
279C23×C4—21no—
280C23×C4—22no—
281C23×C4—22no—
282C23×C4—44no—
283C23×C4—44no—
284C23×C4—44no—
285C23×C4C2×D411yescharacteristic
286C23×C4C2×D411yescharacteristic
287C23×C4C2×D411yescharacteristic
288C23×C4C2×D411yescharacteristic
289C23×C4C2×D411yescharacteristic
290C23×C4C2×D411yescharacteristic
291C23×C4C2411yescharacteristic
292C2×Q16—28no—
293C2×Q16—44no—
294C2×Q16—44no—
295C2×SD16—28no—
296C2×SD16—44no—
297C2×SD16—44no—
298C22×C8C2414yes—
299C22×C8C2414yes—
300C4⋊Q8—24no—
301C4⋊Q8—24no—
302#125—44no—
303#124—28no—
304#124—28no—
305#124—24no—
306#124—24no—
307#124—24no—
308#124—24no—
309C22⋊Q8—24no—
310C22⋊Q8—24no—
311C22⋊Q8—44no—
312C4×Q8—24no—
313C4×Q8—24no—
314C4×Q8—42no—
315C4×Q8—42no—
316C4×Q8—44no—
317C4×Q8—44no—
318C4×Q8—44no—
319C4×Q8—44no—
320C4×D4—24no—
321C4×D4—24no—
322C4×D4—42no—
323C4×D4—42no—
324C4×D4—44no—
325C4×D4—44no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—22no—
328C2×C4⋊C4—21no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—22no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—22no—
335C2×C4⋊C4—22no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—22no—
339C2×C4⋊C4—22no—
340C2×C4⋊C4—21no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—21no—
343C2×C4⋊C4—42no—
344C2×C4⋊C4—42no—
345C2×C4⋊C4—44no—
346C2×C4⋊C4C2412yes—
347C2×C4⋊C4C2412yes—
348C2×C4⋊C4C2412yes—
349C2×C4⋊C4C2412yes—
350C2×C4⋊C4C2412yes—
351C2×C22⋊C4—28no—
352C2×C22⋊C4—28no—
353C2×C22⋊C4—22no—
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—22no—
361C2×C22⋊C4—22no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—22no—
364C2×C22⋊C4—22no—
365C2×C22⋊C4—44no—
366C2×C22⋊C4—44no—
367C2×C22⋊C4—44no—
368C2×C42—24no—
369C2×C42—22no—
370C2×C42—22no—
371C2×C42—24no—
372C2×C42—22no—
373C2×C42—22no—
374C2×C42—22no—
375C2×C42—22no—
376C2×C42—42no—
377C2×C42—42no—
378C2×C42—42no—
379C2×C42—42no—
380C2×C42—44no—
381C2×C42C2×D411yescharacteristic
382C2×C42C2×D411yescharacteristic
383C2×C42C2×D411yescharacteristic
384C2×C42C2×D411yescharacteristic
385C2×C42C2×D411yescharacteristic
386C2×C42C2×D411yescharacteristic
387C2×C42C2×D411yescharacteristic
388C2×C42C2×D411yescharacteristic
389C2×C42C2×D411yescharacteristic
390C2×C42C2×D411yescharacteristic
391C2×C42C2×D411yescharacteristic
392C2×C42C2×D411yescharacteristic
393C2×C42C2×D411yescharacteristic
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×C42C2411yescharacteristic
404C2×C42C2411yescharacteristic
405C2×C42C2411yescharacteristic
406C2×C42C2411yescharacteristic
407C2×C42C2411yescharacteristic
408C2×C42C2411yescharacteristic
409#107—44no—
410#106—44no—
411C4⋊C8—24no—
412C4⋊C8—24no—
413#103—28no—
414#103—44no—
415#103—44no—
416#103—44no—
417#103—44no—
418#102—28no—
419#102—44no—
420#102—44no—
421C22⋊C8—24no—
422C22⋊C8—24no—
423#97—44no—
424#95—22no—
425#95—22no—
426#95—22no—
427#95—22no—
428#95—22no—
429#95—22no—
430#95—22no—
431#95—22no—
432#95—22no—
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#95—22no—
444#95—22no—
445#95—22no—
446C24—24no—
447C24—22no—
448C24—42no—
449C24—42no—
450C24—42no—
451C24—42no—
452C24—42no—
453C24—42no—
454C24C22×D411yescharacteristic
455C2×Q8—24no—
456C2×Q8—22no—
457C2×Q8—22no—
458C2×Q8—22no—
459C2×Q8—22no—
460C2×Q8—22no—
461C2×Q8—24no—
462C2×Q8—22no—
463C2×Q8—22no—
464C2×Q8—24no—
465C2×Q8—48no—
466C2×Q8—42no—
467C2×Q8—42no—
468C2×Q8—48no—
469C2×Q8—42no—
470C2×Q8—42no—
471C2×Q8—42no—
472C2×Q8C2×#4114yes—
473C2×D4—24no—
474C2×D4—22no—
475C2×D4—22no—
476C2×D4—22no—
477C2×D4—22no—
478C2×D4—22no—
479C2×D4—48no—
480C2×D4—42no—
481C2×D4—42no—
482C2×D4—48no—
483C2×D4C2×#4114yes—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—24no—
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—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—41no—
506C22×C4—41no—
507C22×C4—41no—
508C22×C4—41no—
509C22×C4—41no—
510C22×C4—41no—
511C22×C4—44no—
512C22×C4—44no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—44no—
522C22×C4—44no—
523C22×C4—44no—
524C22×C4—44no—
525C22×C4—816no—
526C22×C4#13714yes—
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D411yescharacteristic
531C22×C4C22×D411yescharacteristic
532C22×C4C22×D411yescharacteristic
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×C4C2×#4112yes—
542C22×C4C2511yescharacteristic
543Q16—88no—
544SD16—88no—
545C2×C8—24no—
546C2×C8—24no—
547C2×C8—24no—
548C2×C8—24no—
549C2×C8—24no—
550C2×C8—24no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—24no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—24no—
559C4⋊C4—42no—
560C4⋊C4—42no—
561C4⋊C4—44no—
562C4⋊C4—42no—
563C4⋊C4—44no—
564C4⋊C4—44no—
565C4⋊C4—42no—
566C4⋊C4—44no—
567C4⋊C4—44no—
568C4⋊C4—44no—
569C4⋊C4—44no—
570C4⋊C4—44no—
571C4⋊C4—42no—
572C4⋊C4—42no—
573C4⋊C4—42no—
574C4⋊C4—42no—
575C4⋊C4—42no—
576C22⋊C4—28no—
577C22⋊C4—28no—
578C22⋊C4—28no—
579C22⋊C4—28no—
580C22⋊C4—44no—
581C22⋊C4—44no—
582C22⋊C4—44no—
583C22⋊C4—44no—
584C22⋊C4—44no—
585C22⋊C4—44no—
586C22⋊C4—44no—
587C22⋊C4—44no—
588C42—22no—
589C42—22no—
590C42—22no—
591C42—22no—
592C42—22no—
593C42—22no—
594C42—22no—
595C42—22no—
596C42—22no—
597C42—22no—
598C42—22no—
599C42—22no—
600C42—21no—
601C42—21no—
602C42—21no—
603C42—21no—
604C42—22no—
605C42—22no—
606C42—22no—
607C42—41no—
608C42—41no—
609C42—41no—
610C42—41no—
611C42—41no—
612C42—41no—
613C42—41no—
614C42—41no—
615C42—41no—
616C42—41no—
617C42—44no—
618C42—44no—
619C42—44no—
620C42—44no—
621C42H(5,𝔽2)14yes—
622C23—21no—
623C23—21no—
624C23—21no—
625C23—21no—
626C23—24no—
627C23—48no—
628C23—48no—
629C23—48no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—84no—
637C23—84no—
638C23—84no—
639C23—84no—
640C23#52512yes—
641C23C2×#13712yes—
642C23#57512yes—
643C23C23×D411yescharacteristic
644Q8—24no—
645Q8—24no—
646Q8—48no—
647Q8—42no—
648Q8—42no—
649Q8—44no—
650Q8—44no—
651Q8—84no—
652D4—24no—
653D4—24no—
654D4—48no—
655D4—42no—
656D4—42no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—28no—
666C2×C4—24no—
667C2×C4—24no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—24no—
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—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—44no—
694C2×C4—44no—
695C2×C4—44no—
696C2×C4—44no—
697C2×C4—48no—
698C2×C4—44no—
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—42no—
715C2×C4—42no—
716C2×C4—42no—
717C2×C4—42no—
718C2×C4—42no—
719C2×C4—88no—
720C2×C4—84no—
721C2×C4—84no—
722C2×C4—88no—
723C2×C4#52512yes—
724C2×C4#53512yes—
725C2×C4#53512yes—
726C2×C4C2×#13712yes—
727C2×C4C2×#13712yes—
728C2×C4#57512yes—
729C2×C4#57512yes—
730C2×C4C22×#4111yescharacteristic
731C2×C4C22×#4111yescharacteristic
732C2×C4C2×H(5,𝔽2)12yes—
733C2×C4#58512yes—
734C8—44no—
735C8—44no—
736C22—22no—
737C22—22no—
738C22—22no—
739C22—22no—
740C22—22no—
741C22—22no—
742C22—44no—
743C22—44no—
744C22—44no—
745C22—816no—
746C22—82no—
747C22—82no—
748C22—82no—
749C22—82no—
750C22#311614yes—
751C22C2×#52511yescharacteristic
752C22C2×#53511yescharacteristic
753C22#344911yescharacteristic
754C22C22×#13711yescharacteristic
755C22C2×#57511yescharacteristic
756C22C2×#57511yescharacteristic
757C22C2×#57511yescharacteristic
758C4—22no—
759C4—22no—
760C4—22no—
761C4—22no—
762C4—41no—
763C4—44no—
764C4—41no—
765C4—41no—
766C4—41no—
767C4—41no—
768C4—41no—
769C4—41no—
770C4—41no—
771C4—82no—
772C4—82no—
773C4—82no—
774C4—82no—
775C4—82no—
776C4—82no—
777C4#321514yes—
778C4#350512yes—
779C4#350512yes—
780C2—24no—
781C2—84no—
782C2#3510211yescharacteristic
783C2C2×#311611yescharacteristic
784C2#6055911yescharacteristic
785C2C2×#321511yescharacteristic
786C2#6080511yescharacteristic
787C2#6095011yescharacteristic
788C2#6097011yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC23×D4C23
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. #36635C2semidirect
3. #32957C2semidirect
5. #32906C2semidirect
7. #29913C2semidirect
9. #29502C2semidirect
10. #29374C2semidirect
11. #29131C2semidirect
12. #28384C2semidirect
13. #28204C2semidirect
14. #28159C2semidirect
15. #22050C2semidirect
17. #20778C2semidirect
21. C2×#477C22semidirect
23. C2×#462C22semidirect
29. #2863C22semidirect
30. #2862C22semidirect
31. #2859C22semidirect
37. C4×C4⋊Q8C22semidirect
38. C4×C4⋊Q8C22semidirect
51. #2295C22semidirect
61. #2101C22semidirect
62. #2097C22semidirect
63. #2085C22semidirect
64. #2074C22semidirect
70. #1971C22semidirect
72. #1935C22semidirect
73. #1927C22semidirect
76. #1878C22semidirect
77. #1878C22semidirect
82. #1863C22semidirect
85. #1839C22semidirect
86. #1831C22semidirect
88. #1803C22semidirect
89. #1803C22semidirect
96. #1767C22semidirect
98. #1745C22semidirect

Maximal subgroups

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

subgroupindex
#366352
C2×C4×#1242
#329572
#329562
#329062
#329052
#299132
#296262
#295022
#293742
#291312
#283842
#282042
#281592
#220502
#220492
#207782