Finite Group Databasebeta

← #6635488

Subgroups — #6635488

Order 512.

2132 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#35019C211yesmaximal, characteristic, complemented
2C2×#2422C211yesmaximal, characteristic, complemented
3#32908C212yesmaximal, complemented
4#31953C214yesmaximal, complemented
5#31949C214yesmaximal, complemented
6#31010C214yesmaximal, complemented
7#31008C214yesmaximal, complemented
8#29760C212yesmaximal, complemented
9#28312C212yesmaximal, complemented
10#27978C212yesmaximal, complemented
11#24003C211yesmaximal, characteristic, complemented
12#24002C211yesmaximal, characteristic, complemented
13#23919C211yesmaximal, characteristic, complemented
14#23918C211yesmaximal, characteristic
15#21906C211yesmaximal, characteristic, complemented
16C22×#123—21no—
17C22×C22⋊Q8C2211yescharacteristic
18C22×#121C2211yescharacteristic
19C22×#121C2211yescharacteristic
20C22×C4×D4C2211yescharacteristic, complemented
21C2×#483C2212yescomplemented
22C2×#480C2212yes—
23C2×#463C2214yescomplemented
24C2×#448C2212yescomplemented
25C2×#450C2212yescomplemented
26C2×#447C2212yes—
27C2×#447C2212yes—
28#2850C2212yes—
29#2850C2212yes—
30#2639—21no—
31#2639—21no—
32#2591—22no—
33#2561—22no—
34#2504C2212yescomplemented
35#2503C2212yescomplemented
36#2436C2212yescomplemented
37#2435C2212yescomplemented
38#2422—22no—
39#2422—22no—
40#2422C2214yes—
41#2422C2214yescomplemented
42C2×#397—21no—
43C2×#394—21no—
44#2308—21no—
45#2308—21no—
46C2×#390C2211yescharacteristic, complemented
47C2×#389C2211yescharacteristic, complemented
48C2×#385—21no—
49C2×#384C2211yescharacteristic, complemented
50C2×#380C2211yescharacteristic
51C2×C4×C22⋊C4C2211yescharacteristic
52#2092C2214yescomplemented
53#2085C2214yescomplemented
54#2072C2214yescomplemented
55#2071C2214yescomplemented
56#2068C2214yescomplemented
57#2065C2214yescomplemented
58#2042C2214yescomplemented
59#2035C2214yescomplemented
60#2033C2214yescomplemented
61#2012C2214yescomplemented
62#2000C2214yes—
63#1999C2214yes—
64#1973C2214yescomplemented
65#1972C2214yescomplemented
66#1959C2214yescomplemented
67#1924C2214yescomplemented
68#1924C2214yescomplemented
69#1879C2214yescomplemented
70#1877C2214yescomplemented
71#1874C2212yes—
72#1874C2212yes—
73#1874C2212yes—
74#1874C2212yescomplemented
75#1872C2212yescomplemented
76#1872C2212yescomplemented
77#1853C2212yescomplemented
78#1852C2212yescomplemented
79#1836C2214yescomplemented
80#1804C2214yescomplemented
81#1797C2212yescomplemented
82#1787C2212yescomplemented
83#1786C2212yescomplemented
84#1779C2211yescharacteristic
85#1779C2211yescharacteristic
86#1749C2212yescomplemented
87C23×Q8C2311yescharacteristic
88C23×D4—21no—
89C23×D4—21no—
90C23×D4C2311yescharacteristic
91C23×D4C2311yescharacteristic
92C24×C4—21no—
93C24×C4C2311yescharacteristic
94C22×SD16C2314yes—
95C22×D8C2314yes—
96C2×#124C2312yes—
97C2×#124C2312yes—
98C2×#123—24no—
99C2×#123—24no—
100C2×#123—48no—
101C2×C22⋊Q8—21no—
102C2×C22⋊Q8—21no—
103C2×C22⋊Q8—44no—
104C2×C22⋊Q8C2312yes—
105C2×C22⋊Q8C2312yes—
106C2×#121—21no—
107C2×#121—21no—
108C2×#121—21no—
109C2×#121—21no—
110C2×#121—44no—
111C2×#121—44no—
112C2×#121C2312yes—
113C2×#121C2312yes—
114C2×#121C2312yes—
115C2×#121C2312yes—
116C2×C4×D4—22no—
117C2×C4×D4—44no—
118C2×C4×D4C2314yes—
119C22×C4⋊C4—21no—
120C22×C4⋊C4—21no—
121C22×C4⋊C4—21no—
122C22×C4⋊C4—21no—
123C22×C4⋊C4C2311yescharacteristic
124C22×C4⋊C4C2311yescharacteristic
125C22×C4⋊C4C2311yescharacteristic
126C22×C4⋊C4C2311yescharacteristic
127C22×C4⋊C4C2311yescharacteristic
128C22×C22⋊C4—21no—
129C22×C22⋊C4—21no—
130C22×C22⋊C4—21no—
131C22×C22⋊C4—21no—
132C22×C22⋊C4—21no—
133C22×C22⋊C4—21no—
134C22×C22⋊C4—21no—
135C22×C22⋊C4D411yescharacteristic
136C22×C22⋊C4D411yescharacteristic
137C22×C42C2311yescharacteristic
138C22×C42C2311yescharacteristic
139#483—44no—
140#480—44no—
141#463—48no—
142#450—44no—
143#448—44no—
144#447—44no—
145#447—44no—
146C2×#107C2314yes—
147C2×#106C2314yes—
148C2×C4⋊C8C2314yes—
149C2×#103C2314yes—
150C2×#103C2314yes—
151C2×#103C2314yes—
152C2×#102C2314yes—
153C2×#102C2314yes—
154C2×#102C2314yes—
155C2×#102C2314yes—
156C2×#102C2314yes—
157C2×C22⋊C8C2312yes—
158C2×C22⋊C8C2312yes—
159C2×C22⋊C8C2312yes—
160C2×C22⋊C8C2312yes—
161C2×C22⋊C8C2312yes—
162C2×C22⋊C8C2312yes—
163C2×#97C2314yes—
164#400—22no—
165#400—22no—
166#397—22no—
167#397—22no—
168#397—24no—
169#397—24no—
170#394—24no—
171#394—24no—
172#394—22no—
173#394—22no—
174#393—22no—
175#393—22no—
176#391C2312yes—
177#391C2312yes—
178#390—22no—
179#390C2312yes—
180#390C2312yes—
181#390C2314yes—
182#389—22no—
183#389C2314yes—
184#388—22no—
185#388—22no—
186#388—22no—
187#388—22no—
188#386—22no—
189#386—22no—
190#386—22no—
191#386—22no—
192#386—22no—
193#386—22no—
194#386—22no—
195#386—22no—
196#385—24no—
197#385—24no—
198#384—22no—
199#384C2314yes—
200#382C2312yes—
201#382C2312yes—
202#381—22no—
203#381—22no—
204#380—21no—
205#380—21no—
206#380C2312yes—
207#380C2312yes—
208#379—22no—
209#379—22no—
210C4×C22⋊C4D412yes—
211C4×C22⋊C4D412yes—
212C4×C22⋊C4C2312yes—
213C4×C22⋊C4C2312yes—
214C2×#95—21no—
215C2×#95—21no—
216C2×#95D411yescharacteristic
217C2×#95D411yescharacteristic
218#340C2314yes—
219#340C2314yes—
220#340C2314yes—
221#340C2314yes—
222#336C2314yes—
223#336C2314yes—
224C25—21no—
225C25—21no—
226C25C2×D411yescharacteristic
227C22×Q8—21no—
228C22×Q8—42no—
229C22×Q8—42no—
230C22×Q8—42no—
231C22×Q8C2412yes—
232C22×D4—24no—
233C22×D4—22no—
234C22×D4—22no—
235C22×D4—22no—
236C22×D4—22no—
237C22×D4—21no—
238C22×D4—21no—
239C22×D4—24no—
240C22×D4—42no—
241C22×D4—42no—
242C22×D4—42no—
243C22×D4—42no—
244C22×D4—44no—
245C22×D4—44no—
246C22×D4—44no—
247C22×D4—44no—
248C22×D4—44no—
249C22×D4—82no—
250C22×D4C2412yes—
251C22×D4C2412yes—
252C23×C4—24no—
253C23×C4—21no—
254C23×C4—21no—
255C23×C4—21no—
256C23×C4—21no—
257C23×C4—21no—
258C23×C4—21no—
259C23×C4—24no—
260C23×C4—42no—
261C23×C4—42no—
262C23×C4—44no—
263C23×C4—44no—
264C23×C4—82no—
265C23×C4C2×D411yescharacteristic
266C23×C4C2×D411yescharacteristic
267C23×C4C2×D411yescharacteristic
268C23×C4C2×D411yescharacteristic
269C23×C4C2×D411yescharacteristic
270C23×C4C2×D411yescharacteristic
271C23×C4C2×D411yescharacteristic
272C23×C4C2411yescharacteristic
273C23×C4C2411yescharacteristic
274C23×C4C2411yescharacteristic
275C2×SD16—28no—
276C2×SD16—44no—
277C2×SD16—44no—
278C2×D8—28no—
279C2×D8—44no—
280C2×D8—44no—
281C22×C8C2414yes—
282C22×C8C2414yes—
283#124—44no—
284#124—44no—
285#123—416no—
286#123—416no—
287C22⋊Q8—24no—
288C22⋊Q8—24no—
289C22⋊Q8—42no—
290C22⋊Q8—42no—
291C22⋊Q8—44no—
292C22⋊Q8—44no—
293#121—24no—
294#121—24no—
295#121—24no—
296#121—24no—
297#121—42no—
298#121—42no—
299#121—42no—
300#121—42no—
301#121—44no—
302#121—44no—
303#121—44no—
304#121—44no—
305C4×D4—28no—
306C4×D4—44no—
307C4×D4—48no—
308C2×C4⋊C4—24no—
309C2×C4⋊C4—22no—
310C2×C4⋊C4—22no—
311C2×C4⋊C4—24no—
312C2×C4⋊C4—24no—
313C2×C4⋊C4—21no—
314C2×C4⋊C4—21no—
315C2×C4⋊C4—21no—
316C2×C4⋊C4—21no—
317C2×C4⋊C4—21no—
318C2×C4⋊C4—24no—
319C2×C4⋊C4—42no—
320C2×C4⋊C4—42no—
321C2×C4⋊C4—42no—
322C2×C4⋊C4—42no—
323C2×C4⋊C4—44no—
324C2×C4⋊C4—44no—
325C2×C4⋊C4—44no—
326C2×C4⋊C4—82no—
327C2×C4⋊C4C2412yes—
328C2×C4⋊C4C2412yes—
329C2×C4⋊C4C2412yes—
330C2×C4⋊C4C2412yes—
331C2×C4⋊C4C2412yes—
332C2×C22⋊C4—24no—
333C2×C22⋊C4—22no—
334C2×C22⋊C4—22no—
335C2×C22⋊C4—22no—
336C2×C22⋊C4—22no—
337C2×C22⋊C4—24no—
338C2×C22⋊C4—22no—
339C2×C22⋊C4—22no—
340C2×C22⋊C4—22no—
341C2×C22⋊C4—22no—
342C2×C22⋊C4—24no—
343C2×C22⋊C4—24no—
344C2×C22⋊C4—22no—
345C2×C22⋊C4—22no—
346C2×C22⋊C4—22no—
347C2×C22⋊C4—22no—
348C2×C22⋊C4—22no—
349C2×C22⋊C4—22no—
350C2×C22⋊C4—22no—
351C2×C22⋊C4—22no—
352C2×C22⋊C4—42no—
353C2×C22⋊C4—44no—
354C2×C22⋊C4—44no—
355C2×C22⋊C4—44no—
356C2×C22⋊C4—44no—
357C2×C22⋊C4—44no—
358C2×C22⋊C4—44no—
359C2×C22⋊C4—44no—
360C2×C22⋊C4C2×D412yes—
361C2×C22⋊C4C2×D412yes—
362C2×C22⋊C4C2×D412yes—
363C2×C22⋊C4C2×D412yes—
364C2×C42—42no—
365C2×C42—42no—
366C2×C42C2×D412yes—
367C2×C42C2×D412yes—
368C2×C42C2412yes—
369C2×C42C2412yes—
370#107—44no—
371#106—44no—
372C4⋊C8—44no—
373#103—44no—
374#103—44no—
375#103—44no—
376#102—44no—
377#102—44no—
378#102—44no—
379#102—44no—
380#102—44no—
381C22⋊C8—24no—
382C22⋊C8—24no—
383C22⋊C8—42no—
384C22⋊C8—42no—
385C22⋊C8—42no—
386C22⋊C8—42no—
387#97—44no—
388#95—22no—
389#95—22no—
390#95—24no—
391#95—22no—
392#95—22no—
393#95—22no—
394#95—22no—
395#95—22no—
396#95—22no—
397#95—22no—
398#95—22no—
399#95C2×D412yes—
400#95C2×D412yes—
401#95C2×D412yes—
402#95C2×D412yes—
403C24—22no—
404C24—22no—
405C24—24no—
406C24—22no—
407C24—22no—
408C24—41no—
409C24—41no—
410C24—41no—
411C24—41no—
412C24—42no—
413C24—42no—
414C24—42no—
415C24—42no—
416C24—42no—
417C24—42no—
418C24—42no—
419C24—42no—
420C24—42no—
421C24—81no—
422C24—81no—
423C24—81no—
424C24—81no—
425C24AGL(1,ℤ/8)14yes—
426C24C22×D411yescharacteristic
427C24C22×D411yescharacteristic
428C24C22×D411yescharacteristic
429C2×Q8—22no—
430C2×Q8—24no—
431C2×Q8—22no—
432C2×Q8—24no—
433C2×Q8—42no—
434C2×Q8—81no—
435C2×Q8—81no—
436C2×Q8—88no—
437C2×D4—24no—
438C2×D4—24no—
439C2×D4—22no—
440C2×D4—22no—
441C2×D4—24no—
442C2×D4—22no—
443C2×D4—24no—
444C2×D4—24no—
445C2×D4—416no—
446C2×D4—42no—
447C2×D4—42no—
448C2×D4—44no—
449C2×D4—44no—
450C2×D4—44no—
451C2×D4—44no—
452C2×D4—44no—
453C2×D4—44no—
454C2×D4—44no—
455C2×D4—44no—
456C2×D4—44no—
457C2×D4—44no—
458C2×D4—42no—
459C2×D4—81no—
460C2×D4—81no—
461C2×D4—88no—
462C2×D4—82no—
463C2×D4—82no—
464C2×D4—816no—
465C2×D4—816no—
466C2×D4H(5,𝔽2)14yes—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—41no—
489C22×C4—41no—
490C22×C4—41no—
491C22×C4—41no—
492C22×C4—41no—
493C22×C4—41no—
494C22×C4—41no—
495C22×C4—41no—
496C22×C4—41no—
497C22×C4—41no—
498C22×C4—41no—
499C22×C4—41no—
500C22×C4—41no—
501C22×C4—41no—
502C22×C4—48no—
503C22×C4—48no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—88no—
519C22×C4—84no—
520C22×C4—81no—
521C22×C4—81no—
522C22×C4—81no—
523C22×C4—81no—
524C22×C4—816no—
525C22×C4C22×D412yes—
526C22×C4C22×D411yescharacteristic
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D412yes—
529C22×C4C22×D412yes—
530C22×C4C22×D412yes—
531C22×C4C22×D411yescharacteristic
532C22×C4H(5,𝔽2)14yes—
533C22×C4C2511yescharacteristic
534SD16—88no—
535D8—88no—
536C2×C8—24no—
537C2×C8—24no—
538C2×C8—24no—
539C2×C8—24no—
540C2×C8—24no—
541C2×C8—24no—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—22no—
545C4⋊C4—24no—
546C4⋊C4—24no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4—42no—
551C4⋊C4—42no—
552C4⋊C4—42no—
553C4⋊C4—42no—
554C4⋊C4—44no—
555C4⋊C4—48no—
556C4⋊C4—48no—
557C4⋊C4—42no—
558C4⋊C4—44no—
559C4⋊C4—84no—
560C22⋊C4—24no—
561C22⋊C4—24no—
562C22⋊C4—42no—
563C22⋊C4—42no—
564C22⋊C4—48no—
565C22⋊C4—44no—
566C22⋊C4—44no—
567C22⋊C4—48no—
568C22⋊C4—44no—
569C22⋊C4—48no—
570C22⋊C4—44no—
571C22⋊C4—44no—
572C22⋊C4—44no—
573C22⋊C4—44no—
574C22⋊C4—44no—
575C22⋊C4—82no—
576C22⋊C4—82no—
577C22⋊C4—82no—
578C22⋊C4—82no—
579C22⋊C4—82no—
580C22⋊C4—82no—
581C22⋊C4—82no—
582C22⋊C4—82no—
583C42—24no—
584C42—24no—
585C42—42no—
586C42—42no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—28no—
604C23—24no—
605C23—44no—
606C23—44no—
607C23—48no—
608C23—48no—
609C23—48no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—82no—
624C23—82no—
625C23—82no—
626C23—82no—
627C23—84no—
628C23—84no—
629C23—84no—
630C23—84no—
631C23—84no—
632C23—84no—
633C23—84no—
634C23—162no—
635C23—162no—
636C23—162no—
637C23—162no—
638C23#53512yes—
639C23C2×AGL(1,ℤ/8)12yes—
640C23C2×AGL(1,ℤ/8)12yes—
641C23C2×AGL(1,ℤ/8)12yes—
642C23#57512yes—
643C23C23×D411yescharacteristic
644Q8—44no—
645Q8—44no—
646Q8—84no—
647D4—28no—
648D4—48no—
649D4—44no—
650D4—44no—
651D4—44no—
652D4—84no—
653D4—88no—
654D4—88no—
655D4—88no—
656D4—88no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—28no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—44no—
679C2×C4—44no—
680C2×C4—44no—
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—82no—
702C2×C4—82no—
703C2×C4—82no—
704C2×C4—82no—
705C2×C4—816no—
706C2×C4—84no—
707C2×C4—84no—
708C2×C4—84no—
709C2×C4—84no—
710C2×C4—84no—
711C2×C4—84no—
712C2×C4#53512yes—
713C2×C4C2×H(5,𝔽2)12yes—
714C2×C4C2×H(5,𝔽2)12yes—
715C2×C4#58512yes—
716C8—44no—
717C8—44no—
718C22—22no—
719C22—22no—
720C22—22no—
721C22—22no—
722C22—22no—
723C22—22no—
724C22—22no—
725C22—22no—
726C22—22no—
727C22—22no—
728C22—22no—
729C22—22no—
730C22—41no—
731C22—41no—
732C22—41no—
733C22—41no—
734C22—41no—
735C22—41no—
736C22—41no—
737C22—41no—
738C22—44no—
739C22—44no—
740C22—44no—
741C22—88no—
742C22—816no—
743C22—82no—
744C22—82no—
745C22—82no—
746C22—82no—
747C22—82no—
748C22—82no—
749C22—82no—
750C22—82no—
751C22—82no—
752C22—82no—
753C22—82no—
754C22—168no—
755C22#321314yes—
756C22C2×#53511yescharacteristic
757C22#348411yescharacteristic
758C22#348511yescharacteristic
759C22C22×AGL(1,ℤ/8)11yescharacteristic
760C22C2×#57511yescharacteristic
761C22#358511yescharacteristic
762C22#358611yescharacteristic
763C4—22no—
764C4—42no—
765C4—42no—
766C4—41no—
767C4—41no—
768C4—42no—
769C4—42no—
770C4—82no—
771C4—82no—
772C4—82no—
773C4—82no—
774C4—82no—
775C4—82no—
776C4#353414yes—
777C2—24no—
778C2—42no—
779C2—42no—
780C2—84no—
781C2—162no—
782C2#3672111yescharacteristic
783C2C2×#321311yescharacteristic
784C2#6081011yescharacteristic
785C2#6157111yescharacteristic
786C2#6157511yescharacteristic
787C2#6170611yescharacteristic
788C2#6171811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#23918C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C4×C22⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #35019C2semidirect
2. C2×#2422C2semidirect
3. #32908C2semidirect
4. #31953C2semidirect
5. #31949C2semidirect
6. #31010C2semidirect
7. #31008C2semidirect
8. #29760C2semidirect
9. #28312C2semidirect
10. #27978C2semidirect
11. #24003C2semidirect
12. #24002C2semidirect
13. #23919C2semidirect
15. #21906C2semidirect
20. C22×C4×D4C22semidirect
21. C2×#483C22semidirect
23. C2×#463C22semidirect
24. C2×#448C22semidirect
25. C2×#450C22semidirect
34. #2504C22semidirect
35. #2503C22semidirect
36. #2436C22semidirect
37. #2435C22semidirect
41. #2422C22semidirect
46. C2×#390C22semidirect
47. C2×#389C22semidirect
49. C2×#384C22semidirect
52. #2092C22semidirect
53. #2085C22semidirect
54. #2072C22semidirect
55. #2071C22semidirect
56. #2068C22semidirect
57. #2065C22semidirect
58. #2042C22semidirect
59. #2035C22semidirect
60. #2033C22semidirect
61. #2012C22semidirect
64. #1973C22semidirect
65. #1972C22semidirect
66. #1959C22semidirect
67. #1924C22semidirect
68. #1924C22semidirect
69. #1879C22semidirect
70. #1877C22semidirect
74. #1874C22semidirect
75. #1872C22semidirect
76. #1872C22semidirect
77. #1853C22semidirect
78. #1852C22semidirect
79. #1836C22semidirect
80. #1804C22semidirect
81. #1797C22semidirect
82. #1787C22semidirect
83. #1786C22semidirect
86. #1749C22semidirect

Maximal subgroups

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

subgroupindex
#350192
C2×#24222
#329082
#319532
#319492
#310102
#310082
#297602
#283122
#279782
#240032
#240022
#239192
#239182
#219062