Finite Group Databasebeta

← #6644494

Subgroups — #6644494

Order 512.

2114 conjugacy classes of subgroups.

The subgroup lattice has 798 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#35000C211yesmaximal, characteristic
2C2×#2536C211yesmaximal, characteristic, complemented
3#33003C212yesmaximal, complemented
4#32006C214yesmaximal, complemented
5#31392C214yesmaximal, complemented
6#30571C214yesmaximal, complemented
7#30408C214yesmaximal, complemented
8#29912C212yesmaximal, complemented
9#27601C211yesmaximal, characteristic, complemented
10#24550C212yesmaximal, complemented
11#24381C212yesmaximal, complemented
12#24006C211yesmaximal, characteristic, complemented
13#24002C211yesmaximal, characteristic, complemented
14#23919C211yesmaximal, characteristic, complemented
15#21738C211yesmaximal, characteristic, complemented
16C2×#534—21no—
17C22×C22⋊Q8C2211yescharacteristic
18C22×C22⋊Q8C2211yescharacteristic, complemented
19C22×#121C2211yescharacteristic
20C22×C4×Q8C2211yescharacteristic, complemented
21C22×C4×D4C2211yescharacteristic
22C2×#484C2212yescomplemented
23C2×#480C2212yes—
24C2×#465C2214yescomplemented
25C2×#448C2212yes—
26C2×#450C2212yescomplemented
27C22×C22⋊C8C2212yescomplemented
28#2854C2212yes—
29#2847C2212yes—
30#2618—21no—
31#2617—21no—
32#2543—22no—
33#2536—22no—
34#2536—22no—
35#2536C2214yes—
36#2536C2214yescomplemented
37#2534—22no—
38#2486C2212yes—
39#2416C2212yes—
40#2416C2212yes—
41#2408C2212yes—
42C2×#398—21no—
43C2×#394—21no—
44#2308—21no—
45C2×#388—21no—
46C2×#388—21no—
47C2×#382C2211yescharacteristic, complemented
48C2×#380C2211yescharacteristic
49C2×#380C2211yescharacteristic
50C2×#380C2211yescharacteristic, complemented
51#2101C2214yescomplemented
52#2092C2214yescomplemented
53#2085C2214yescomplemented
54#2077C2214yescomplemented
55#2075C2214yescomplemented
56#2073C2214yescomplemented
57#2036C2214yescomplemented
58#2035C2214yescomplemented
59#2033C2214yescomplemented
60#2033C2214yescomplemented
61#2000C2214yescomplemented
62#2000C2214yescomplemented
63#1893C2214yescomplemented
64#1892C2214yescomplemented
65#1880C2214yescomplemented
66#1880C2214yescomplemented
67#1874C2212yes—
68#1874C2212yes—
69#1872C2212yescomplemented
70#1872C2212yescomplemented
71#1869C2214yes—
72#1869C2214yescomplemented
73#1863C2214yescomplemented
74#1863C2214yescomplemented
75#1853C2212yescomplemented
76#1853C2212yescomplemented
77#1852C2212yescomplemented
78#1852C2212yescomplemented
79#1824C2212yescomplemented
80#1823C2212yescomplemented
81#1817C2212yescomplemented
82#1808C2214yescomplemented
83#1787C2212yescomplemented
84#1786C2212yescomplemented
85#1779C2211yescharacteristic
86#1779C2211yescharacteristic
87C23×Q8C2311yescharacteristic
88C23×D4—21no—
89C23×D4D411yescharacteristic
90C23×D4C2311yescharacteristic
91C24×C4C2311yescharacteristic
92C24×C4C2311yescharacteristic
93C22×SD16C2314yes—
94C23×C8C2314yes—
95#534—48no—
96C2×#123—22no—
97C2×#123—22no—
98C2×C22⋊Q8—21no—
99C2×C22⋊Q8—21no—
100C2×C22⋊Q8—22no—
101C2×C22⋊Q8—44no—
102C2×C22⋊Q8—44no—
103C2×C22⋊Q8C2312yes—
104C2×C22⋊Q8C2312yes—
105C2×C22⋊Q8C2314yes—
106C2×#121—22no—
107C2×#121—22no—
108C2×#121—21no—
109C2×#121—21no—
110C2×#121—44no—
111C2×#121C2312yes—
112C2×#121C2312yes—
113C2×#121C2312yes—
114C2×#121C2312yes—
115C2×#120—22no—
116C2×#120—22no—
117C2×C4×Q8—22no—
118C2×C4×Q8—44no—
119C2×C4×Q8C2314yes—
120C2×C4×D4—44no—
121C2×C4×D4D412yes—
122C2×C4×D4D412yes—
123C2×C4×D4C2312yes—
124C2×C4×D4C2312yes—
125C22×C4⋊C4—21no—
126C22×C4⋊C4—21no—
127C22×C4⋊C4—21no—
128C22×C4⋊C4D411yescharacteristic
129C22×C4⋊C4C2311yescharacteristic
130C22×C4⋊C4C2311yescharacteristic
131C22×C4⋊C4C2311yescharacteristic
132C22×C4⋊C4C2311yescharacteristic
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×C22⋊C4D411yescharacteristic
142C22×C22⋊C4D411yescharacteristic
143C22×C42—21no—
144C22×C42C2311yescharacteristic
145#484—44no—
146#480—44no—
147#465—48no—
148#450—44no—
149#448—44no—
150C2×#107C2314yes—
151C2×#107C2314yes—
152C2×#106C2314yes—
153C2×#103C2314yes—
154C2×#103C2314yes—
155C2×#103C2314yes—
156C2×#102C2314yes—
157C2×#102C2314yes—
158C2×#102C2314yes—
159C2×C22⋊C8—44no—
160C2×C22⋊C8C2312yes—
161C2×C22⋊C8C2312yes—
162C2×C22⋊C8C2312yes—
163C2×C22⋊C8C2314yes—
164C2×C22⋊C8C2312yes—
165C2×C22⋊C8C2312yes—
166C2×C22⋊C8C2312yes—
167#398—22no—
168#398—24no—
169#398—24no—
170#397—22no—
171#396—22no—
172#396—22no—
173#394—24no—
174#394—24no—
175#394—22no—
176#394—22no—
177#394—22no—
178#392—22no—
179#390C2312yes—
180#390C2312yes—
181#389C2312yes—
182#389C2312yes—
183#388—24no—
184#388—24no—
185#388—24no—
186#388—24no—
187#388—22no—
188#388—22no—
189#386—22no—
190#386—22no—
191#386—22no—
192#386—22no—
193#386—22no—
194#386—22no—
195#382—22no—
196#382C2314yes—
197#381—22no—
198#380—21no—
199#380—21no—
200#380—21no—
201#380—21no—
202#380—22no—
203#380C2312yes—
204#380C2314yes—
205#380C2312yes—
206#380C2312yes—
207#380C2312yes—
208#380C2312yes—
209#380C2312yes—
210#379—22no—
211C2×#95—21no—
212C2×#95—21no—
213C2×#95—21no—
214C2×#95—21no—
215C2×#95—21no—
216#340C2314yes—
217#340C2314yes—
218#340C2314yes—
219#340C2314yes—
220#340C2314yes—
221#340C2314yes—
222#336C2314yes—
223#336C2314yes—
224C25—21no—
225C25C2×D411yescharacteristic
226C25C2×D411yescharacteristic
227C22×Q8—24no—
228C22×Q8—21no—
229C22×Q8—24no—
230C22×Q8—42no—
231C22×Q8C2412yes—
232C22×D4—24no—
233C22×D4—24no—
234C22×D4—22no—
235C22×D4—22no—
236C22×D4—22no—
237C22×D4—22no—
238C22×D4—21no—
239C22×D4—42no—
240C22×D4—42no—
241C22×D4—42no—
242C22×D4—42no—
243C22×D4—44no—
244C22×D4—44no—
245C22×D4—44no—
246C22×D4C2×D412yes—
247C22×D4C2×D412yes—
248C22×D4C2412yes—
249C23×C4—21no—
250C23×C4—24no—
251C23×C4—24no—
252C23×C4—21no—
253C23×C4—21no—
254C23×C4—21no—
255C23×C4—21no—
256C23×C4—21no—
257C23×C4—21no—
258C23×C4—42no—
259C23×C4—42no—
260C23×C4—42no—
261C23×C4—42no—
262C23×C4C2×D411yescharacteristic
263C23×C4C2×D411yescharacteristic
264C23×C4C2×D411yescharacteristic
265C23×C4C2×D411yescharacteristic
266C23×C4C2×D411yescharacteristic
267C23×C4C2×D411yescharacteristic
268C23×C4C2×D412yes—
269C23×C4C2411yescharacteristic
270C23×C4C2411yescharacteristic
271C23×C4C2412yes—
272C23×C4C2411yescharacteristic
273C2×SD16—28no—
274C2×SD16—44no—
275C2×SD16—44no—
276C22×C8—44no—
277C22×C8—44no—
278C22×C8—44no—
279C22×C8C2414yes—
280C22×C8C2414yes—
281#123—48no—
282#123—48no—
283C22⋊Q8—24no—
284C22⋊Q8—28no—
285C22⋊Q8—24no—
286C22⋊Q8—42no—
287C22⋊Q8—44no—
288C22⋊Q8—42no—
289C22⋊Q8—44no—
290C22⋊Q8—44no—
291C22⋊Q8—48no—
292#121—24no—
293#121—24no—
294#121—42no—
295#121—42no—
296#121—44no—
297#121—44no—
298#121—48no—
299#121—48no—
300#121—44no—
301#121—44no—
302#120—48no—
303#120—48no—
304C4×Q8—44no—
305C4×Q8—44no—
306C4×Q8—48no—
307C4×D4—44no—
308C4×D4—44no—
309C4×D4—42no—
310C4×D4—42no—
311C4×D4—42no—
312C4×D4—42no—
313C2×C4⋊C4—24no—
314C2×C4⋊C4—24no—
315C2×C4⋊C4—24no—
316C2×C4⋊C4—22no—
317C2×C4⋊C4—22no—
318C2×C4⋊C4—21no—
319C2×C4⋊C4—21no—
320C2×C4⋊C4—21no—
321C2×C4⋊C4—21no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—22no—
324C2×C4⋊C4—21no—
325C2×C4⋊C4—21no—
326C2×C4⋊C4—42no—
327C2×C4⋊C4—42no—
328C2×C4⋊C4—42no—
329C2×C4⋊C4—42no—
330C2×C4⋊C4—42no—
331C2×C4⋊C4—42no—
332C2×C4⋊C4—44no—
333C2×C4⋊C4—44no—
334C2×C4⋊C4—44no—
335C2×C4⋊C4C2×D412yes—
336C2×C4⋊C4C2×D412yes—
337C2×C4⋊C4C2412yes—
338C2×C4⋊C4C2412yes—
339C2×C4⋊C4C2412yes—
340C2×C4⋊C4C2412yes—
341C2×C4⋊C4C2412yes—
342C2×C4⋊C4C2412yes—
343C2×C22⋊C4—22no—
344C2×C22⋊C4—22no—
345C2×C22⋊C4—22no—
346C2×C22⋊C4—22no—
347C2×C22⋊C4—24no—
348C2×C22⋊C4—22no—
349C2×C22⋊C4—22no—
350C2×C22⋊C4—24no—
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—42no—
362C2×C22⋊C4—42no—
363C2×C22⋊C4—44no—
364C2×C22⋊C4—44no—
365C2×C22⋊C4—44no—
366C2×C22⋊C4—44no—
367C2×C22⋊C4—44no—
368C2×C22⋊C4—44no—
369C2×C22⋊C4C2×D412yes—
370C2×C22⋊C4C2×D412yes—
371C2×C22⋊C4C2×D412yes—
372C2×C22⋊C4C2×D412yes—
373C2×C42—24no—
374C2×C42—24no—
375C2×C42—44no—
376C2×C42C2×D412yes—
377C2×C42C2412yes—
378#107—44no—
379#107—44no—
380#106—44no—
381#103—28no—
382#103—44no—
383#103—44no—
384#102—44no—
385#102—44no—
386#102—44no—
387C22⋊C8—24no—
388C22⋊C8—24no—
389C22⋊C8—44no—
390C22⋊C8—42no—
391C22⋊C8—42no—
392C22⋊C8—42no—
393C22⋊C8—42no—
394#95—22no—
395#95—24no—
396#95—22no—
397#95—22no—
398#95—22no—
399#95—24no—
400#95—24no—
401#95—22no—
402#95—22no—
403#95—22no—
404#95—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#13514yes—
426C24AGL(1,ℤ/8)14yes—
427C24C22×D411yescharacteristic
428C24C22×D411yescharacteristic
429C24C22×D412yes—
430C24C22×D411yescharacteristic
431C2×Q8—24no—
432C2×Q8—22no—
433C2×Q8—24no—
434C2×Q8—24no—
435C2×Q8—416no—
436C2×Q8—42no—
437C2×Q8—42no—
438C2×Q8H(5,𝔽2)14yes—
439C2×D4—24no—
440C2×D4—24no—
441C2×D4—24no—
442C2×D4—24no—
443C2×D4—22no—
444C2×D4—24no—
445C2×D4—22no—
446C2×D4—24no—
447C2×D4—42no—
448C2×D4—42no—
449C2×D4—42no—
450C2×D4—416no—
451C2×D4—44no—
452C2×D4—44no—
453C2×D4—44no—
454C2×D4—44no—
455C2×D4—44no—
456C2×D4—44no—
457C2×D4—44no—
458C2×D4—44no—
459C2×D4—81no—
460C2×D4—81no—
461C2×D4—88no—
462C2×D4—82no—
463C2×D4—82no—
464C2×D4—82no—
465C2×D4—82no—
466C2×D4—816no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—24no—
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—24no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—24no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—24no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—41no—
497C22×C4—41no—
498C22×C4—41no—
499C22×C4—41no—
500C22×C4—42no—
501C22×C4—41no—
502C22×C4—41no—
503C22×C4—42no—
504C22×C4—41no—
505C22×C4—41no—
506C22×C4—41no—
507C22×C4—41no—
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—42no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—88no—
525C22×C4—88no—
526C22×C4—81no—
527C22×C4—81no—
528C22×C4—81no—
529C22×C4—81no—
530C22×C4C22×D412yes—
531C22×C4C22×D412yes—
532C22×C4C22×D411yescharacteristic
533C22×C4C22×D412yes—
534C22×C4C22×D411yescharacteristic
535C22×C4C22×D411yescharacteristic
536C22×C4H(5,𝔽2)14yes—
537C22×C4C2511yescharacteristic
538SD16—88no—
539C2×C8—24no—
540C2×C8—24no—
541C2×C8—24no—
542C2×C8—24no—
543C2×C8—24no—
544C2×C8—24no—
545C2×C8—88no—
546C4⋊C4—22no—
547C4⋊C4—24no—
548C4⋊C4—24no—
549C4⋊C4—24no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—24no—
554C4⋊C4—42no—
555C4⋊C4—42no—
556C4⋊C4—48no—
557C4⋊C4—44no—
558C4⋊C4—44no—
559C4⋊C4—48no—
560C4⋊C4—42no—
561C4⋊C4—42no—
562C4⋊C4—42no—
563C4⋊C4—44no—
564C4⋊C4—44no—
565C4⋊C4—42no—
566C4⋊C4—81no—
567C4⋊C4—81no—
568C22⋊C4—42no—
569C22⋊C4—42no—
570C22⋊C4—42no—
571C22⋊C4—42no—
572C22⋊C4—44no—
573C22⋊C4—48no—
574C22⋊C4—44no—
575C22⋊C4—44no—
576C22⋊C4—44no—
577C22⋊C4—44no—
578C22⋊C4—44no—
579C22⋊C4—44no—
580C22⋊C4—44no—
581C22⋊C4—48no—
582C22⋊C4—44no—
583C22⋊C4—44no—
584C22⋊C4—44no—
585C22⋊C4—44no—
586C22⋊C4—82no—
587C22⋊C4—82no—
588C22⋊C4—82no—
589C22⋊C4—82no—
590C42—24no—
591C42—22no—
592C42—22no—
593C42—48no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—22no—
601C23—22no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—22no—
607C23—21no—
608C23—22no—
609C23—21no—
610C23—21no—
611C23—22no—
612C23—21no—
613C23—22no—
614C23—21no—
615C23—21no—
616C23—28no—
617C23—28no—
618C23—44no—
619C23—44no—
620C23—44no—
621C23—44no—
622C23—42no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—42no—
629C23—82no—
630C23—82no—
631C23—82no—
632C23—82no—
633C23—82no—
634C23—82no—
635C23—82no—
636C23—82no—
637C23—84no—
638C23—84no—
639C23—84no—
640C23—162no—
641C23—162no—
642C23—162no—
643C23—162no—
644C23#53412yes—
645C23C2×#13512yes—
646C23C2×#13512yes—
647C23C2×#13512yes—
648C23C2×AGL(1,ℤ/8)14yes—
649C23C2×AGL(1,ℤ/8)12yes—
650C23C23×D411yescharacteristic
651Q8—28no—
652Q8—48no—
653Q8—44no—
654D4—48no—
655D4—48no—
656D4—44no—
657D4—44no—
658D4—84no—
659D4—88no—
660D4—88no—
661D4—164no—
662D4—164no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—28no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—22no—
673C2×C4—24no—
674C2×C4—22no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—22no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—44no—
683C2×C4—48no—
684C2×C4—44no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—44no—
688C2×C4—44no—
689C2×C4—44no—
690C2×C4—44no—
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—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—84no—
710C2×C4—82no—
711C2×C4—82no—
712C2×C4—82no—
713C2×C4—82no—
714C2×C4—84no—
715C2×C4—84no—
716C2×C4—84no—
717C2×C4—84no—
718C2×C4—162no—
719C2×C4—162no—
720C2×C4#53412yes—
721C2×C4C2×H(5,𝔽2)12yes—
722C2×C4C2×H(5,𝔽2)12yes—
723C2×C4#58512yes—
724C8—44no—
725C8—44no—
726C22—22no—
727C22—22no—
728C22—22no—
729C22—22no—
730C22—22no—
731C22—22no—
732C22—22no—
733C22—22no—
734C22—24no—
735C22—22no—
736C22—22no—
737C22—24no—
738C22—22no—
739C22—22no—
740C22—24no—
741C22—42no—
742C22—41no—
743C22—41no—
744C22—41no—
745C22—42no—
746C22—41no—
747C22—42no—
748C22—41no—
749C22—41no—
750C22—42no—
751C22—41no—
752C22—41no—
753C22—88no—
754C22—88no—
755C22—82no—
756C22—82no—
757C22—82no—
758C22—82no—
759C22—82no—
760C22—82no—
761C22—82no—
762C22—168no—
763C22#318814yes—
764C22C2×#53411yescharacteristic
765C22#348411yescharacteristic
766C22#348511yescharacteristic
767C22C22×#13511yescharacteristic
768C22C22×AGL(1,ℤ/8)11yescharacteristic
769C22#358611yescharacteristic
770C22#358611yescharacteristic
771C4—22no—
772C4—42no—
773C4—42no—
774C4—41no—
775C4—42no—
776C4—41no—
777C4—44no—
778C4—82no—
779C4—82no—
780C4—82no—
781C4—82no—
782C4—82no—
783C4—82no—
784C4#353414yes—
785C2—24no—
786C2—42no—
787C2—44no—
788C2—42no—
789C2—162no—
790C2#3711711yescharacteristic
791C2C2×#318811yescharacteristic
792C2#6075411yescharacteristic
793C2#6156411yescharacteristic
794C2#6157211yescharacteristic
795C2#6169611yescharacteristic
796C2#6170411yescharacteristic
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×#2536C2semidirect
3. #33003C2semidirect
4. #32006C2semidirect
5. #31392C2semidirect
6. #30571C2semidirect
7. #30408C2semidirect
8. #29912C2semidirect
9. #27601C2semidirect
10. #24550C2semidirect
11. #24381C2semidirect
12. #24006C2semidirect
13. #24002C2semidirect
14. #23919C2semidirect
15. #21738C2semidirect
18. C22×C22⋊Q8C22semidirect
20. C22×C4×Q8C22semidirect
22. C2×#484C22semidirect
24. C2×#465C22semidirect
26. C2×#450C22semidirect
27. C22×C22⋊C8C22semidirect
36. #2536C22semidirect
47. C2×#382C22semidirect
50. C2×#380C22semidirect
51. #2101C22semidirect
52. #2092C22semidirect
53. #2085C22semidirect
54. #2077C22semidirect
55. #2075C22semidirect
56. #2073C22semidirect
57. #2036C22semidirect
58. #2035C22semidirect
59. #2033C22semidirect
60. #2033C22semidirect
61. #2000C22semidirect
62. #2000C22semidirect
63. #1893C22semidirect
64. #1892C22semidirect
65. #1880C22semidirect
66. #1880C22semidirect
69. #1872C22semidirect
70. #1872C22semidirect
72. #1869C22semidirect
73. #1863C22semidirect
74. #1863C22semidirect
75. #1853C22semidirect
76. #1853C22semidirect
77. #1852C22semidirect
78. #1852C22semidirect
79. #1824C22semidirect
80. #1823C22semidirect
81. #1817C22semidirect
82. #1808C22semidirect
83. #1787C22semidirect
84. #1786C22semidirect

Maximal subgroups

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

subgroupindex
#350002
C2×#25362
#330032
#320062
#313922
#305712
#304082
#299122
#276012
#245502
#243812
#240062
#240022
#239192
#217382