Finite Group Databasebeta

← #6480520

Subgroups — #6480520

Order 512.

1874 conjugacy classes of subgroups.

The subgroup lattice has 799 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36631C211yesmaximal, characteristic, complemented
2C2×#2861C211yesmaximal, characteristic, complemented
3#33282C212yesmaximal, complemented
4#33251C212yesmaximal, complemented
5#30346C214yesmaximal, complemented
6#29556C214yesmaximal, complemented
7#28658C212yesmaximal, complemented
8#28618C212yesmaximal, complemented
9#25913C211yesmaximal, characteristic, complemented
10#25864C211yesmaximal, characteristic, complemented
11#25819C211yesmaximal, characteristic, complemented
12#25731C211yesmaximal, characteristic
13#24503C212yesmaximal, complemented
14#24500C212yesmaximal, complemented
15#22047C212yesmaximal, complemented
16#22046C212yesmaximal, complemented
17#20463C211yesmaximal, characteristic, complemented
18C2×#529—21no—
19C22×#125C2211yescharacteristic
20C22×#124C2211yescharacteristic
21C2×#501C2212yescomplemented
22C2×#496C2212yes—
23C2×#490C2212yescomplemented
24C2×#489C2212yes—
25C2×#448C2212yes—
26C2×#447C2212yes—
27C2×#431C2212yes—
28#2861—21no—
29#2861—21no—
30#2861—21no—
31#2861—21no—
32#2861—21no—
33#2861C2212yes—
34#2861C2212yes—
35#2861C2212yes—
36#2861C2212yes—
37#2860—21no—
38#2860C2212yescomplemented
39#2859C2211yescharacteristic, complemented
40#2858C2211yescharacteristic, complemented
41#2857C2211yescharacteristic
42#2856C2211yescharacteristic
43#2854—21no—
44#2854C2212yes—
45#2850—21no—
46C4×C4⋊Q8C2211yescharacteristic, complemented
47C4×#127C2211yescharacteristic, complemented
48C4×#124—21no—
49C4×#121—21no—
50C4×#121C2212yes—
51C2×#391C2211yescharacteristic
52C2×#391C2211yescharacteristic
53#2293—21no—
54#2293C2212yescomplemented
55C2×#390C2211yescharacteristic
56C2×#390C2211yescharacteristic
57C2×#388—21no—
58C2×#388—21no—
59C2×#388—21no—
60C2×#388—21no—
61C2×C43C2211yescharacteristic
62#2067C2214yes—
63#2066C2214yescomplemented
64#2059C2214yescomplemented
65#2055C2214yescomplemented
66#2054C2214yes—
67#2042C2214yes—
68#2025C2214yescomplemented
69#2012C2214yes—
70#1992C2212yescomplemented
71#1992C2212yescomplemented
72#1973C2214yescomplemented
73#1972C2214yes—
74#1970C2214yes—
75#1968C2214yescomplemented
76#1959C2212yes—
77#1959C2212yes—
78#1936C2214yes—
79#1935C2214yescomplemented
80#1934C2214yes—
81#1933C2214yescomplemented
82#1928C2214yescomplemented
83#1926C2214yes—
84#1879C2214yes—
85#1877C2214yescomplemented
86#1874C2212yes—
87#1874C2212yes—
88#1853C2212yes—
89#1852C2212yes—
90#1787C2212yes—
91#1786C2212yes—
92#1767C2212yescomplemented
93#1767C2212yescomplemented
94#1749C2211yescharacteristic
95#1749C2212yes—
96#1749C2211yescharacteristic
97#1744C2212yescomplemented
98C4×#97C2212yescomplemented
99C23×Q8C2311yescharacteristic
100C23×D4C2311yescharacteristic
101C22×SD16C2314yes—
102C22×D8C2314yes—
103C2×C4⋊Q8C2311yescharacteristic
104C2×#127C2311yescharacteristic
105#529—48no—
106C2×#126—22no—
107C2×#125—21no—
108C2×#125—21no—
109C2×#125—21no—
110C2×#125—44no—
111C2×#125C2312yes—
112C2×#125C2312yes—
113C2×#124—21no—
114C2×#124—21no—
115C2×#124—21no—
116C2×#124—21no—
117C2×#124—44no—
118C2×#124C2312yes—
119C2×#124C2312yes—
120C2×#123—22no—
121C2×C22⋊Q8—21no—
122C2×#121—21no—
123C2×#121—21no—
124C2×#121C2312yes—
125C2×C4×Q8—21no—
126C2×C4×D4—22no—
127C2×C4×D4—21no—
128C2×C4×D4—21no—
129C2×C4×D4C2312yes—
130C2×#117—22no—
131C22×C4⋊C4—21no—
132C22×C4⋊C4—21no—
133C22×C4⋊C4C2311yescharacteristic
134C22×C4⋊C4C2311yescharacteristic
135C22×C22⋊C4—21no—
136C22×C22⋊C4—21no—
137C22×C22⋊C4—21no—
138C22×C22⋊C4—21no—
139C22×C22⋊C4—21no—
140C22×C22⋊C4—21no—
141C22×C42D411yescharacteristic
142C22×C42D411yescharacteristic
143C22×C42D411yescharacteristic
144C22×C42D411yescharacteristic
145C22×C42C2311yescharacteristic
146C22×C42C2311yescharacteristic
147C22×C42C2311yescharacteristic
148#501—44no—
149#496—44no—
150#490—44no—
151#489—44no—
152#448—28no—
153#447—28no—
154#431—28no—
155C2×#107C2314yes—
156C2×#106C2314yes—
157C2×C4⋊C8C2314yes—
158C2×#103C2314yes—
159C2×#103C2314yes—
160C2×#103C2314yes—
161C2×#102C2314yes—
162C2×#102C2314yes—
163C2×#102C2314yes—
164C2×#102C2314yes—
165C2×#102C2314yes—
166C2×C22⋊C8C2312yes—
167C2×C22⋊C8C2312yes—
168C2×#97C2312yes—
169C2×#97C2312yes—
170C2×#97C2314yes—
171C2×C4×C8C2314yes—
172#391—21no—
173#391—21no—
174#391—21no—
175#391—21no—
176#391—21no—
177#391—21no—
178#391C2312yes—
179#391C2312yes—
180#391C2312yes—
181#391C2312yes—
182#390—21no—
183#390—21no—
184#390—21no—
185#390—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#390C2312yes—
196#390C2312yes—
197#390C2312yes—
198#390C2312yes—
199#390C2312yes—
200#389—21no—
201#389—21no—
202#389—21no—
203#389—21no—
204#389C2312yes—
205#389C2312yes—
206#389C2312yes—
207#389C2312yes—
208#388—22no—
209#388—22no—
210#388—22no—
211#388—22no—
212#388—22no—
213#388—22no—
214#388—22no—
215#388—22no—
216#388—22no—
217#388—22no—
218#388—22no—
219#388—22no—
220#388—22no—
221#388—22no—
222#388—22no—
223#388—22no—
224#388—22no—
225#388—22no—
226#388—22no—
227#388—22no—
228#388—22no—
229#388—22no—
230#388—22no—
231#388—22no—
232#386—22no—
233#386—22no—
234#384C2311yescharacteristic
235#384C2311yescharacteristic
236#382—21no—
237#380—21no—
238#380C2312yes—
239C4×C4⋊C4—21no—
240C4×C4⋊C4C2312yes—
241C4×C22⋊C4—22no—
242C4×C22⋊C4—22no—
243C2×#95—21no—
244C2×#95—21no—
245C2×#95—21no—
246C2×#95—21no—
247C43D411yescharacteristic
248C43D411yescharacteristic
249C43D411yescharacteristic
250C43D411yescharacteristic
251C43C2311yescharacteristic
252C43C2311yescharacteristic
253C43C2311yescharacteristic
254C43C2311yescharacteristic
255#340C2314yes—
256#340C2314yes—
257#340C2314yes—
258#340C2314yes—
259#336C2312yes—
260#336C2314yes—
261#336C2312yes—
262C25—21no—
263C22×Q8—21no—
264C22×Q8—21no—
265C22×Q8—24no—
266C22×Q8—42no—
267C22×Q8—42no—
268C22×Q8C2412yes—
269C22×D4—22no—
270C22×D4—21no—
271C22×D4—21no—
272C22×D4—21no—
273C22×D4—24no—
274C22×D4—42no—
275C22×D4—42no—
276C22×D4C2412yes—
277C22×D4C2412yes—
278C23×C4—21no—
279C23×C4—21no—
280C23×C4—21no—
281C23×C4—22no—
282C23×C4C2×D411yescharacteristic
283C23×C4C2×D411yescharacteristic
284C23×C4C2×D411yescharacteristic
285C23×C4C2×D411yescharacteristic
286C23×C4C2×D411yescharacteristic
287C23×C4C2×D411yescharacteristic
288C23×C4C2411yescharacteristic
289C2×SD16—28no—
290C2×SD16—44no—
291C2×SD16—44no—
292C2×D8—28no—
293C2×D8—44no—
294C2×D8—44no—
295C22×C8C2414yes—
296C22×C8C2414yes—
297C4⋊Q8—24no—
298#127—24no—
299#126—48no—
300#125—24no—
301#125—24no—
302#125—42no—
303#125—42no—
304#125—44no—
305#125—44no—
306#125—44no—
307#124—24no—
308#124—24no—
309#124—42no—
310#124—42no—
311#124—44no—
312#124—44no—
313#124—44no—
314#124—44no—
315#123—48no—
316C22⋊Q8—44no—
317#121—24no—
318#121—24no—
319#121—44no—
320#121—44no—
321C4×Q8—44no—
322C4×D4—44no—
323C4×D4—44no—
324C4×D4—44no—
325C4×D4—48no—
326#117—48no—
327C2×C4⋊C4—22no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—22no—
330C2×C4⋊C4—22no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—22no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—22no—
340C2×C4⋊C4—21no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—42no—
343C2×C4⋊C4—42no—
344C2×C4⋊C4—44no—
345C2×C4⋊C4—44no—
346C2×C4⋊C4C2412yes—
347C2×C4⋊C4C2412yes—
348C2×C4⋊C4C2412yes—
349C2×C4⋊C4C2412yes—
350C2×C4⋊C4C2412yes—
351C2×C22⋊C4—22no—
352C2×C22⋊C4—22no—
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—22no—
366C2×C22⋊C4—22no—
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—44no—
375C2×C22⋊C4—44no—
376C2×C22⋊C4—44no—
377C2×C22⋊C4—44no—
378C2×C22⋊C4—44no—
379C2×C22⋊C4—44no—
380C2×C42—24no—
381C2×C42—24no—
382C2×C42—24no—
383C2×C42—22no—
384C2×C42—42no—
385C2×C42—42no—
386C2×C42—42no—
387C2×C42—42no—
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×C42C2×D411yescharacteristic
404C2×C42C2×D411yescharacteristic
405C2×C42C2×D411yescharacteristic
406C2×C42C2×D411yescharacteristic
407C2×C42C2×D411yescharacteristic
408C2×C42C2×D411yescharacteristic
409C2×C42C2×D411yescharacteristic
410C2×C42C2411yescharacteristic
411C2×C42C2411yescharacteristic
412C2×C42C2411yescharacteristic
413C2×C42C2411yescharacteristic
414C2×C42C2411yescharacteristic
415C2×C42C2411yescharacteristic
416#107—44no—
417#106—44no—
418C4⋊C8—28no—
419#103—28no—
420#103—44no—
421#103—44no—
422#102—28no—
423#102—44no—
424#102—44no—
425#102—44no—
426#102—44no—
427C22⋊C8—24no—
428C22⋊C8#4118yes—
429#97—24no—
430#97—24no—
431#97—44no—
432C4×C8—28no—
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—
446#95—22no—
447C24—22no—
448C24—22no—
449C24—42no—
450C24—42no—
451C24—42no—
452C24—42no—
453C24—42no—
454C24—42no—
455C24—42no—
456C24C22×D411yescharacteristic
457C2×Q8—24no—
458C2×Q8—22no—
459C2×Q8—22no—
460C2×Q8—24no—
461C2×Q8—42no—
462C2×Q8—42no—
463C2×Q8—42no—
464C2×Q8—42no—
465C2×Q8—42no—
466C2×Q8—42no—
467C2×Q8—88no—
468C2×D4—24no—
469C2×D4—22no—
470C2×D4—22no—
471C2×D4—22no—
472C2×D4—24no—
473C2×D4—22no—
474C2×D4—24no—
475C2×D4—24no—
476C2×D4—42no—
477C2×D4—42no—
478C2×D4—42no—
479C2×D4—42no—
480C2×D4—42no—
481C2×D4—42no—
482C2×D4—44no—
483C2×D4—44no—
484C2×D4—44no—
485C2×D4—42no—
486C2×D4—42no—
487C2×D4—42no—
488C2×D4—88no—
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—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—44no—
515C22×C4—44no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—42no—
525C22×C4—44no—
526C22×C4AGL(1,ℤ/8)14yes—
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×#4114yes—
541C22×C4C2511yescharacteristic
542SD16—88no—
543D8—88no—
544C2×C8—24no—
545C2×C8—24no—
546C2×C8—24no—
547C2×C8—24no—
548C2×C8—24no—
549C2×C8C2×#4118yes—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—24no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—24no—
558C4⋊C4—42no—
559C4⋊C4—42no—
560C4⋊C4—44no—
561C4⋊C4—44no—
562C4⋊C4—44no—
563C4⋊C4—42no—
564C4⋊C4—42no—
565C4⋊C4—44no—
566C4⋊C4—42no—
567C4⋊C4—42no—
568C4⋊C4—44no—
569C4⋊C4—44no—
570C4⋊C4—42no—
571C4⋊C4—44no—
572C4⋊C4—44no—
573C22⋊C4—44no—
574C22⋊C4—44no—
575C22⋊C4—44no—
576C22⋊C4—44no—
577C22⋊C4—44no—
578C22⋊C4—44no—
579C22⋊C4—44no—
580C22⋊C4—44no—
581C22⋊C4—44no—
582C22⋊C4—44no—
583C22⋊C4—44no—
584C22⋊C4—44no—
585C22⋊C4—44no—
586C22⋊C4—44no—
587C22⋊C4—44no—
588C22⋊C4—44no—
589C22⋊C4—44no—
590C22⋊C4—44no—
591C22⋊C4—44no—
592C22⋊C4—44no—
593C22⋊C4—44no—
594C22⋊C4—44no—
595C22⋊C4—44no—
596C42—22no—
597C42—22no—
598C42—22no—
599C42—22no—
600C42—22no—
601C42—22no—
602C42—22no—
603C42—22no—
604C42—22no—
605C42—22no—
606C42—22no—
607C42—22no—
608C42—22no—
609C42—22no—
610C42—22no—
611C42—22no—
612C42—22no—
613C42—41no—
614C42—41no—
615C42—41no—
616C42—41no—
617C42—41no—
618C42—41no—
619C42—41no—
620C42—41no—
621C42—41no—
622C42—41no—
623C42—44no—
624C42H(5,𝔽2)14yes—
625C23—21no—
626C23—21no—
627C23—21no—
628C23—21no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23—42no—
638C23—42no—
639C23—42no—
640C23—42no—
641C23—42no—
642C23—42no—
643C23—84no—
644C23—84no—
645C23—84no—
646C23—84no—
647C23—84no—
648C23—84no—
649C23—84no—
650C23#53212yes—
651C23C2×AGL(1,ℤ/8)12yes—
652C23#57512yes—
653C23C23×D411yescharacteristic
654Q8—44no—
655Q8—44no—
656Q8—84no—
657Q8—84no—
658D4—44no—
659D4—44no—
660D4—44no—
661D4—44no—
662D4—84no—
663D4—84no—
664D4—84no—
665D4—88no—
666C2×C4—28no—
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—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—28no—
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—21no—
696C2×C4—21no—
697C2×C4—21no—
698C2×C4—21no—
699C2×C4—21no—
700C2×C4—44no—
701C2×C4—44no—
702C2×C4—44no—
703C2×C4—44no—
704C2×C4—44no—
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—84no—
725C2×C4—84no—
726C2×C4—84no—
727C2×C4#53212yes—
728C2×C4#53512yes—
729C2×C4#53512yes—
730C2×C4C2×AGL(1,ℤ/8)12yes—
731C2×C4C2×AGL(1,ℤ/8)12yes—
732C2×C4#57512yes—
733C2×C4#57512yes—
734C2×C4C22×#4112yes—
735C2×C4C2×H(5,𝔽2)12yes—
736C2×C4#58512yes—
737C8—28no—
738C8—44no—
739C22—22no—
740C22—22no—
741C22—22no—
742C22—22no—
743C22—22no—
744C22—22no—
745C22—82no—
746C22—82no—
747C22—82no—
748C22—82no—
749C22—82no—
750C22—82no—
751C22—82no—
752C22—82no—
753C22—82no—
754C22—82no—
755C22—82no—
756C22—82no—
757C22—82no—
758C22—82no—
759C22—168no—
760C22#318014yes—
761C22C2×#53211yescharacteristic
762C22C2×#53511yescharacteristic
763C22#344911yescharacteristic
764C22C22×AGL(1,ℤ/8)11yescharacteristic
765C22C2×#57511yescharacteristic
766C22C2×#57511yescharacteristic
767C22C2×#57511yescharacteristic
768C4—22no—
769C4—22no—
770C4—22no—
771C4—22no—
772C4—22no—
773C4—22no—
774C4—22no—
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#351414yes—
788C2—24no—
789C2—162no—
790C2—162no—
791C2#3513111yescharacteristic
792C2C2×#318011yescharacteristic
793C2#6070211yescharacteristic
794C2#6080311yescharacteristic
795C2#6080511yescharacteristic
796C2#6094911yescharacteristic
797C2#6095411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#25731C2
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. #36631C2semidirect
2. C2×#2861C2semidirect
3. #33282C2semidirect
4. #33251C2semidirect
5. #30346C2semidirect
6. #29556C2semidirect
7. #28658C2semidirect
8. #28618C2semidirect
9. #25913C2semidirect
10. #25864C2semidirect
11. #25819C2semidirect
13. #24503C2semidirect
14. #24500C2semidirect
15. #22047C2semidirect
16. #22046C2semidirect
17. #20463C2semidirect
21. C2×#501C22semidirect
23. C2×#490C22semidirect
38. #2860C22semidirect
39. #2859C22semidirect
40. #2858C22semidirect
46. C4×C4⋊Q8C22semidirect
47. C4×#127C22semidirect
54. #2293C22semidirect
63. #2066C22semidirect
64. #2059C22semidirect
65. #2055C22semidirect
68. #2025C22semidirect
70. #1992C22semidirect
71. #1992C22semidirect
72. #1973C22semidirect
75. #1968C22semidirect
79. #1935C22semidirect
81. #1933C22semidirect
82. #1928C22semidirect
85. #1877C22semidirect
92. #1767C22semidirect
93. #1767C22semidirect
97. #1744C22semidirect
98. C4×#97C22semidirect

Maximal subgroups

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

subgroupindex
#366312
C2×#28612
#332822
#332512
#303462
#295562
#286582
#286182
#259132
#258642
#258192
#257312
#245032
#245002
#220472
#220462
#204632