Finite Group Databasebeta

← #6470546

Subgroups — #6470546

Order 512.

2118 conjugacy classes of subgroups.

The subgroup lattice has 801 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#35000C211yesmaximal, characteristic
2C2×#2354C211yesmaximal, characteristic, complemented
3#33094C212yesmaximal, complemented
4#32981C212yesmaximal, complemented
5#29907C212yesmaximal, complemented
6#29891C212yesmaximal, complemented
7#26225C214yesmaximal, complemented
8#26153C214yesmaximal, complemented
9#24958C214yesmaximal, complemented
10#24886C214yesmaximal, complemented
11#21942C211yesmaximal, characteristic, complemented
12#21764C211yesmaximal, characteristic, complemented
13#21742C211yesmaximal, characteristic, complemented
14#20912C211yesmaximal, characteristic, complemented
15#20846C211yesmaximal, characteristic, complemented
16C2×#534—21no—
17C22×#121C2211yescharacteristic
18C22×C4×D4C2211yescharacteristic
19C22×#117C2211yescharacteristic
20C22×#117C2211yescharacteristic, complemented
21C2×#482C2214yescomplemented
22C2×#428C2212yescomplemented
23C2×#418C2212yescomplemented
24C2×#407C2211yescharacteristic
25C2×#407C2211yescharacteristic
26#2854C2212yes—
27#2847C2212yes—
28#2618—21no—
29#2617—21no—
30#2543—22no—
31#2534—22no—
32#2486C2212yes—
33#2416C2212yes—
34#2416C2212yes—
35#2408C2212yes—
36#2354—22no—
37#2354—22no—
38#2354C2214yes—
39#2354C2214yescomplemented
40#2308—21no—
41C2×#390—21no—
42C2×#388—21no—
43C2×#388—21no—
44C2×#384C2211yescharacteristic, complemented
45C2×#380C2211yescharacteristic
46C2×#380C2211yescharacteristic
47C2×#380C2211yescharacteristic, complemented
48C2×C4×C4⋊C4—21no—
49C2×C4×C4⋊C4C2211yescharacteristic, complemented
50#2100C2214yescomplemented
51#2094C2214yescomplemented
52#2084C2214yescomplemented
53#2077C2214yescomplemented
54#2076C2214yescomplemented
55#2071C2214yescomplemented
56#2034C2214yescomplemented
57#2033C2214yescomplemented
58#1925C2214yescomplemented
59#1925C2214yescomplemented
60#1918C2214yescomplemented
61#1918C2214yescomplemented
62#1895C2214yescomplemented
63#1875C2214yescomplemented
64#1875C2214yescomplemented
65#1874C2212yes—
66#1874C2212yes—
67#1874C2212yes—
68#1874C2212yes—
69#1870C2214yes—
70#1870C2214yescomplemented
71#1854C2214yescomplemented
72#1854C2214yescomplemented
73#1853C2212yescomplemented
74#1853C2212yescomplemented
75#1853C2212yescomplemented
76#1852C2212yescomplemented
77#1852C2212yescomplemented
78#1852C2212yescomplemented
79#1825C2214yescomplemented
80#1824C2212yescomplemented
81#1817C2212yescomplemented
82#1809C2214yescomplemented
83#1786C2212yescomplemented
84#1779C2212yescomplemented
85#1736C2212yescomplemented
86#1736C2212yescomplemented
87C23×D4—21no—
88C23×D4D411yescharacteristic
89C23×D4C2311yescharacteristic
90C24×C4C2311yescharacteristic
91C24×C4C2311yescharacteristic
92C22×M16C2312yes—
93C22×M16C2312yes—
94#534—48no—
95C2×#123—22no—
96C2×#123—22no—
97C2×#121—22no—
98C2×#121—22no—
99C2×#121—21no—
100C2×#121—21no—
101C2×#121—24no—
102C2×#121—24no—
103C2×#121C2312yes—
104C2×#121C2312yes—
105C2×#121C2312yes—
106C2×#121C2312yes—
107C2×#120—22no—
108C2×#120—22no—
109C2×C4×D4—24no—
110C2×C4×D4—24no—
111C2×C4×D4D412yes—
112C2×C4×D4D412yes—
113C2×C4×D4C2312yes—
114C2×C4×D4C2312yes—
115C2×#117—21no—
116C2×#117—21no—
117C2×#117—22no—
118C2×#117—44no—
119C2×#117—44no—
120C2×#117C2314yes—
121C2×#117C2312yes—
122C2×#117C2312yes—
123C22×C4⋊C4—21no—
124C22×C4⋊C4—21no—
125C22×C4⋊C4D411yescharacteristic
126C22×C4⋊C4C2311yescharacteristic
127C22×C4⋊C4C2311yescharacteristic
128C22×C4⋊C4C2311yescharacteristic
129C22×C4⋊C4C2311yescharacteristic
130C22×C4⋊C4C2311yescharacteristic
131C22×C4⋊C4C2311yescharacteristic
132C22×C4⋊C4C2311yescharacteristic
133C22×C22⋊C4—21no—
134C22×C22⋊C4—21no—
135C22×C22⋊C4—21no—
136C22×C22⋊C4—21no—
137C22×C22⋊C4—21no—
138C22×C22⋊C4—21no—
139C22×C22⋊C4D411yescharacteristic
140C22×C22⋊C4D411yescharacteristic
141C22×C42—21no—
142C22×C42—21no—
143C22×C42—21no—
144C22×C42C2311yescharacteristic
145#482—48no—
146#428—44no—
147C2×#107C2314yes—
148C2×#107C2314yes—
149C2×#106C2314yes—
150C2×#106C2314yes—
151#418—44no—
152C2×#102C2314yes—
153C2×#102C2314yes—
154C2×#102C2314yes—
155C2×#102C2314yes—
156#407—24no—
157#407—24no—
158C2×C22⋊C8C2312yes—
159C2×C22⋊C8C2312yes—
160C2×C22⋊C8C2312yes—
161C2×C22⋊C8C2312yes—
162C2×C22⋊C8C2314yes—
163C2×C22⋊C8C2314yes—
164#398—22no—
165#397—22no—
166#396—22no—
167#396—22no—
168#394—22no—
169#394—22no—
170#394—22no—
171#392—22no—
172#390—24no—
173#390—24no—
174#390C2312yes—
175#390C2312yes—
176#389C2312yes—
177#389C2312yes—
178#388—24no—
179#388—24no—
180#388—24no—
181#388—24no—
182#388—22no—
183#388—22no—
184#386—22no—
185#386—22no—
186#386—22no—
187#386—22no—
188#386—22no—
189#386—22no—
190#384—22no—
191#384C2314yes—
192#381—22no—
193#380—21no—
194#380—21no—
195#380—22no—
196#380—21no—
197#380—21no—
198#380C2312yes—
199#380C2312yes—
200#380C2312yes—
201#380C2314yes—
202#380C2312yes—
203#380C2312yes—
204#380C2312yes—
205#379—22no—
206C4×C4⋊C4—24no—
207C4×C4⋊C4—24no—
208C4×C4⋊C4—22no—
209C4×C4⋊C4C2314yes—
210C2×#95—21no—
211C2×#95—21no—
212C2×#95—21no—
213C2×#95—21no—
214#340C2314yes—
215#340C2314yes—
216#340C2314yes—
217#340C2314yes—
218#340C2314yes—
219#340C2314yes—
220#340C2314yes—
221#340C2314yes—
222#336C2314yes—
223#336C2314yes—
224C25—21no—
225C25C2×D411yescharacteristic
226C25C2×D411yescharacteristic
227C22×D4—24no—
228C22×D4—22no—
229C22×D4—22no—
230C22×D4—22no—
231C22×D4—22no—
232C22×D4—24no—
233C22×D4—21no—
234C22×D4—22no—
235C22×D4—22no—
236C22×D4—42no—
237C22×D4—42no—
238C22×D4—42no—
239C22×D4—44no—
240C22×D4—44no—
241C22×D4—44no—
242C22×D4C2×D412yes—
243C22×D4C2×D412yes—
244C22×D4C2412yes—
245C23×C4—21no—
246C23×C4—22no—
247C23×C4—22no—
248C23×C4—21no—
249C23×C4—21no—
250C23×C4—21no—
251C23×C4—21no—
252C23×C4—21no—
253C23×C4—21no—
254C23×C4—42no—
255C23×C4—42no—
256C23×C4—42no—
257C23×C4—42no—
258C23×C4C2×D411yescharacteristic
259C23×C4C2×D411yescharacteristic
260C23×C4C2×D411yescharacteristic
261C23×C4C2×D412yes—
262C23×C4C2×D411yescharacteristic
263C23×C4C2×D411yescharacteristic
264C23×C4C2×D411yescharacteristic
265C23×C4#4114yes—
266C23×C4#4114yes—
267C23×C4C2412yes—
268C23×C4C2411yescharacteristic
269C23×C4C2411yescharacteristic
270C23×C4C2411yescharacteristic
271C2×M16—24no—
272C2×M16—24no—
273C2×M16—42no—
274C2×M16—42no—
275C2×M16—42no—
276C2×M16—42no—
277C22×C8C2414yes—
278C22×C8C2414yes—
279#123—48no—
280#123—48no—
281#121—24no—
282#121—24no—
283#121—24no—
284#121—24no—
285#121—48no—
286#121—48no—
287#121—44no—
288#121—44no—
289#121—44no—
290#121—44no—
291#120—48no—
292#120—48no—
293C4×D4—28no—
294C4×D4—28no—
295C4×D4—24no—
296C4×D4—24no—
297C4×D4—24no—
298C4×D4—24no—
299#117—24no—
300#117—24no—
301#117—28no—
302#117—42no—
303#117—44no—
304#117—42no—
305#117—44no—
306#117—44no—
307#117—48no—
308C2×C4⋊C4—24no—
309C2×C4⋊C4—21no—
310C2×C4⋊C4—24no—
311C2×C4⋊C4—22no—
312C2×C4⋊C4—22no—
313C2×C4⋊C4—24no—
314C2×C4⋊C4—21no—
315C2×C4⋊C4—21no—
316C2×C4⋊C4—21no—
317C2×C4⋊C4—21no—
318C2×C4⋊C4—22no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—24no—
321C2×C4⋊C4—21no—
322C2×C4⋊C4—21no—
323C2×C4⋊C4—42no—
324C2×C4⋊C4—42no—
325C2×C4⋊C4—42no—
326C2×C4⋊C4—42no—
327C2×C4⋊C4—42no—
328C2×C4⋊C4—44no—
329C2×C4⋊C4—82no—
330C2×C4⋊C4C2×D412yes—
331C2×C4⋊C4C2×D412yes—
332C2×C4⋊C4C2412yes—
333C2×C4⋊C4C2412yes—
334C2×C4⋊C4C2412yes—
335C2×C4⋊C4C2412yes—
336C2×C4⋊C4C2412yes—
337C2×C4⋊C4C2412yes—
338C2×C4⋊C4C2412yes—
339C2×C22⋊C4—24no—
340C2×C22⋊C4—24no—
341C2×C22⋊C4—24no—
342C2×C22⋊C4—22no—
343C2×C22⋊C4—22no—
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—24no—
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—44no—
360C2×C22⋊C4—44no—
361C2×C22⋊C4—44no—
362C2×C22⋊C4—44no—
363C2×C22⋊C4—82no—
364C2×C22⋊C4—82no—
365C2×C22⋊C4C2×D412yes—
366C2×C22⋊C4C2×D412yes—
367C2×C22⋊C4C2×D412yes—
368C2×C22⋊C4C2×D412yes—
369C2×C42—22no—
370C2×C42—22no—
371C2×C42—24no—
372C2×C42—22no—
373C2×C42—22no—
374C2×C42—24no—
375C2×C42—44no—
376C2×C42—44no—
377C2×C42—44no—
378C2×C42C2×D412yes—
379C2×C42C2412yes—
380#107—28no—
381#107—44no—
382#106—44no—
383#106—44no—
384#102—28no—
385#102—44no—
386#102—44no—
387#102—44no—
388C22⋊C8—24no—
389C22⋊C8—24no—
390C22⋊C8—24no—
391C22⋊C8—24no—
392C22⋊C8—44no—
393C22⋊C8—44no—
394#95—24no—
395#95—22no—
396#95—22no—
397#95—24no—
398#95—22no—
399#95—22no—
400#95—22no—
401#95—22no—
402#95—22no—
403#95—22no—
404C24—22no—
405C24—22no—
406C24—22no—
407C24—22no—
408C24—22no—
409C24—22no—
410C24—41no—
411C24—41no—
412C24—41no—
413C24—41no—
414C24—41no—
415C24—41no—
416C24—41no—
417C24—41no—
418C24—42no—
419C24—42no—
420C24—42no—
421C24—81no—
422C24—81no—
423C24—81no—
424C24—81no—
425C24#12314yes—
426C24C22×D412yes—
427C24C22×D411yescharacteristic
428C24C22×D411yescharacteristic
429C24C22×D411yescharacteristic
430C2×D4—24no—
431C2×D4—24no—
432C2×D4—24no—
433C2×D4—24no—
434C2×D4—22no—
435C2×D4—22no—
436C2×D4—24no—
437C2×D4—24no—
438C2×D4—42no—
439C2×D4—42no—
440C2×D4—416no—
441C2×D4—48no—
442C2×D4—44no—
443C2×D4—44no—
444C2×D4—44no—
445C2×D4—44no—
446C2×D4—44no—
447C2×D4—44no—
448C2×D4—44no—
449C2×D4—44no—
450C2×D4—42no—
451C2×D4—84no—
452C2×D4—81no—
453C2×D4—81no—
454C2×D4—82no—
455C2×D4—82no—
456C2×D4—82no—
457C2×D4—82no—
458C2×D4—816no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—24no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—24no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—48no—
483C22×C4—48no—
484C22×C4—41no—
485C22×C4—41no—
486C22×C4—41no—
487C22×C4—41no—
488C22×C4—41no—
489C22×C4—42no—
490C22×C4—41no—
491C22×C4—41no—
492C22×C4—42no—
493C22×C4—41no—
494C22×C4—41no—
495C22×C4—41no—
496C22×C4—48no—
497C22×C4—48no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—42no—
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—81no—
515C22×C4—81no—
516C22×C4—81no—
517C22×C4—81no—
518C22×C4#12314yes—
519C22×C4#12314yes—
520C22×C4#12314yes—
521C22×C4AGL(1,ℤ/8)14yes—
522C22×C4C22×D412yes—
523C22×C4C22×D412yes—
524C22×C4C22×D411yescharacteristic
525C22×C4C22×D411yescharacteristic
526C22×C4C22×D411yescharacteristic
527C22×C4C22×D412yes—
528C22×C4C2×#4112yes—
529C22×C4C2×#4112yes—
530C22×C4C2×#4112yes—
531C22×C4C2×#4112yes—
532C22×C4C2×#4112yes—
533C22×C4C2×#4112yes—
534C22×C4C2511yescharacteristic
535M16—48no—
536M16—84no—
537C2×C8—24no—
538C2×C8—24no—
539C2×C8—24no—
540C2×C8—24no—
541C2×C8—24no—
542C2×C8—24no—
543C4⋊C4—24no—
544C4⋊C4—24no—
545C4⋊C4—24no—
546C4⋊C4—22no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4—24no—
551C4⋊C4—24no—
552C4⋊C4—22no—
553C4⋊C4—24no—
554C4⋊C4—24no—
555C4⋊C4—42no—
556C4⋊C4—48no—
557C4⋊C4—42no—
558C4⋊C4—42no—
559C4⋊C4—42no—
560C4⋊C4—44no—
561C4⋊C4—44no—
562C4⋊C4—81no—
563C4⋊C4—81no—
564C4⋊C4—84no—
565C4⋊C4H(5,𝔽2)14yes—
566C22⋊C4—24no—
567C22⋊C4—24no—
568C22⋊C4—24no—
569C22⋊C4—24no—
570C22⋊C4—44no—
571C22⋊C4—44no—
572C22⋊C4—48no—
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—82no—
582C22⋊C4—82no—
583C22⋊C4—82no—
584C22⋊C4—82no—
585C22⋊C4—82no—
586C22⋊C4—82no—
587C22⋊C4—84no—
588C42—24no—
589C42—22no—
590C42—22no—
591C42—44no—
592C42—44no—
593C42—48no—
594C42—48no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—21no—
611C23—28no—
612C23—22no—
613C23—22no—
614C23—22no—
615C23—22no—
616C23—22no—
617C23—22no—
618C23—22no—
619C23—44no—
620C23—44no—
621C23—44no—
622C23—44no—
623C23—44no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—42no—
629C23—42no—
630C23—42no—
631C23—82no—
632C23—82no—
633C23—82no—
634C23—82no—
635C23—82no—
636C23—82no—
637C23—82no—
638C23—82no—
639C23—84no—
640C23—84no—
641C23—84no—
642C23—162no—
643C23—162no—
644C23—162no—
645C23—162no—
646C23C2×#12312yes—
647C23C2×#12312yes—
648C23C2×#12312yes—
649C23C2×AGL(1,ℤ/8)12yes—
650C23#57512yes—
651C23C23×D411yescharacteristic
652D4—48no—
653D4—48no—
654D4—44no—
655D4—44no—
656D4—84no—
657D4—88no—
658D4—88no—
659D4—164no—
660D4—164no—
661C2×C4—28no—
662C2×C4—22no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—22no—
670C2×C4—24no—
671C2×C4—24no—
672C2×C4—24no—
673C2×C4—24no—
674C2×C4—24no—
675C2×C4—24no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—22no—
680C2×C4—24no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—44no—
684C2×C4—44no—
685C2×C4—44no—
686C2×C4—48no—
687C2×C4—44no—
688C2×C4—48no—
689C2×C4—44no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—44no—
693C2×C4—44no—
694C2×C4—42no—
695C2×C4—42no—
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—84no—
713C2×C4—84no—
714C2×C4—84no—
715C2×C4—84no—
716C2×C4—162no—
717C2×C4—162no—
718C2×C4C2×#12312yes—
719C2×C4C2×#12312yes—
720C2×C4C2×#12312yes—
721C2×C4C2×AGL(1,ℤ/8)14yes—
722C2×C4C22×#4111yescharacteristic
723C2×C4C22×#4111yescharacteristic
724C2×C4C2×H(5,𝔽2)12yes—
725C2×C4#58512yes—
726C8—44no—
727C8—44no—
728C22—22no—
729C22—22no—
730C22—22no—
731C22—22no—
732C22—22no—
733C22—22no—
734C22—22no—
735C22—22no—
736C22—22no—
737C22—22no—
738C22—22no—
739C22—22no—
740C22—41no—
741C22—41no—
742C22—41no—
743C22—41no—
744C22—41no—
745C22—41no—
746C22—41no—
747C22—41no—
748C22—42no—
749C22—42no—
750C22—42no—
751C22—42no—
752C22—42no—
753C22—42no—
754C22—42no—
755C22—88no—
756C22—88no—
757C22—82no—
758C22—82no—
759C22—82no—
760C22—82no—
761C22—82no—
762C22—82no—
763C22—82no—
764C22—168no—
765C22#309414yes—
766C22C22×#12311yescharacteristic
767C22#348411yescharacteristic
768C22#348511yescharacteristic
769C22C22×AGL(1,ℤ/8)11yescharacteristic
770C22C2×#57511yescharacteristic
771C22#358511yescharacteristic
772C22#358611yescharacteristic
773C4—24no—
774C4—22no—
775C4—22no—
776C4—22no—
777C4—42no—
778C4—44no—
779C4—42no—
780C4—82no—
781C4—82no—
782C4—82no—
783C4—82no—
784C4—82no—
785C4—82no—
786C4#345912yes—
787C4#350512yes—
788C2—24no—
789C2—42no—
790C2—42no—
791C2—82no—
792C2—162no—
793C2#3498311yescharacteristic
794C2C2×#309411yescharacteristic
795C2#6051711yescharacteristic
796C2#6157711yescharacteristic
797C2#6158511yescharacteristic
798C2#6171211yescharacteristic
799C2#6172011yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#35000C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C22×C4×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#2354C2semidirect
3. #33094C2semidirect
4. #32981C2semidirect
5. #29907C2semidirect
6. #29891C2semidirect
7. #26225C2semidirect
8. #26153C2semidirect
9. #24958C2semidirect
10. #24886C2semidirect
11. #21942C2semidirect
12. #21764C2semidirect
13. #21742C2semidirect
14. #20912C2semidirect
15. #20846C2semidirect
20. C22×#117C22semidirect
21. C2×#482C22semidirect
22. C2×#428C22semidirect
23. C2×#418C22semidirect
39. #2354C22semidirect
44. C2×#384C22semidirect
47. C2×#380C22semidirect
49. C2×C4×C4⋊C4C22semidirect
50. #2100C22semidirect
51. #2094C22semidirect
52. #2084C22semidirect
53. #2077C22semidirect
54. #2076C22semidirect
55. #2071C22semidirect
56. #2034C22semidirect
57. #2033C22semidirect
58. #1925C22semidirect
59. #1925C22semidirect
60. #1918C22semidirect
61. #1918C22semidirect
62. #1895C22semidirect
63. #1875C22semidirect
64. #1875C22semidirect
70. #1870C22semidirect
71. #1854C22semidirect
72. #1854C22semidirect
73. #1853C22semidirect
74. #1853C22semidirect
75. #1853C22semidirect
76. #1852C22semidirect
77. #1852C22semidirect
78. #1852C22semidirect
79. #1825C22semidirect
80. #1824C22semidirect
81. #1817C22semidirect
82. #1809C22semidirect
83. #1786C22semidirect
84. #1779C22semidirect
85. #1736C22semidirect
86. #1736C22semidirect

Maximal subgroups

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

subgroupindex
#350002
C2×#23542
#330942
#329812
#299072
#298912
#262252
#261532
#249582
#248862
#219422
#217642
#217422
#209122
#208462