Finite Group Databasebeta

← #6461709

Subgroups — #6461709

Order 512.

1998 conjugacy classes of subgroups.

The subgroup lattice has 768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C4×#533C211yesmaximal, characteristic, complemented
2C2×#2293C211yesmaximal, characteristic
3#29397C214yesmaximal, complemented
4#29396C214yesmaximal, complemented
5#29393C212yesmaximal, complemented
6#29392C212yesmaximal, complemented
7#29389C212yesmaximal, complemented
8#29388C212yesmaximal, complemented
9#23657C211yesmaximal, characteristic, complemented
10#23628C211yesmaximal, characteristic
11#23554C211yesmaximal, characteristic, complemented
12#23454C211yesmaximal, characteristic
13#21060C212yesmaximal
14#21034C212yesmaximal, complemented
15#21033C212yesmaximal, complemented
16#20873C212yesmaximal
17#20772C211yesmaximal, characteristic, complemented
18C2×#533C2211yescharacteristic
19C22×C4×D4C2211yescharacteristic
20C22×#117—21no—
21C2×#428C2212yes—
22C2×#428C2212yes—
23C2×#418C2212yes—
24C2×#418C2212yes—
25C4×C4⋊Q8C2211yescharacteristic, complemented
26C4×C4⋊Q8C2211yescharacteristic, complemented
27C4×C4⋊Q8C2211yescharacteristic, complemented
28C4×C4⋊Q8C2211yescharacteristic, complemented
29C4×#125C2212yescomplemented
30C4×#125C2212yescomplemented
31C4×C22⋊Q8—21no—
32C4×C22⋊Q8—21no—
33C4×C22⋊Q8—21no—
34C4×C22⋊Q8—21no—
35#2296C2212yes—
36#2295—21no—
37#2295—21no—
38#2293—21no—
39#2293—21no—
40#2293—21no—
41#2293—21no—
42#2293C2212yes—
43#2293C2212yes—
44#2293C2212yes—
45#2293C2212yes—
46C2×#390C2211yescharacteristic
47C2×#390C2211yescharacteristic
48C2×#389C2211yescharacteristic
49C2×#389C2211yescharacteristic
50C2×#388—21no—
51C2×#388—21no—
52#2285C2211yescharacteristic
53C42×Q8—21no—
54C42×Q8—21no—
55C4×#117C2212yes—
56C2×C4×C4⋊C4C2211yescharacteristic
57C2×C4×C22⋊C4—21no—
58C2×C43C2211yescharacteristic
59#2085C2214yescomplemented
60#2084C2212yescomplemented
61#2083C2212yescomplemented
62#2073C2214yes—
63#2071C2212yes—
64#2071C2212yes—
65#2059C2214yescomplemented
66#2058C2212yescomplemented
67#2057C2212yescomplemented
68#2025C2214yes—
69#2023C2212yes—
70#2023C2212yes—
71#1926C2214yes—
72#1926C2214yes—
73#1925C2214yes—
74#1925C2214yes—
75#1921C2214yescomplemented
76#1921C2214yescomplemented
77#1920C2214yescomplemented
78#1920C2214yescomplemented
79#1919C2214yescomplemented
80#1919C2214yescomplemented
81#1918C2214yescomplemented
82#1918C2214yescomplemented
83#1864C2214yes—
84#1864C2214yes—
85#1862C2214yes—
86#1862C2214yes—
87#1839C2212yescomplemented
88#1839C2212yescomplemented
89#1839C2212yescomplemented
90#1839C2212yescomplemented
91#1736C2212yes—
92#1736C2212yes—
93#1736C2212yes—
94#1736C2212yes—
95#1728C2211yescharacteristic
96#1728C2212yes—
97#1728C2212yes—
98#1728C2211yescharacteristic
99C23×D4C2311yescharacteristic
100C24×C4—21no—
101C22×M16C2312yes—
102C22×M16C2312yes—
103#533—28no—
104C2×C4⋊Q8C2311yescharacteristic
105C2×C4⋊Q8C2311yescharacteristic
106C2×#125C2312yes—
107C2×C22⋊Q8—21no—
108C2×C22⋊Q8—21no—
109C2×C4×Q8—21no—
110C2×C4×Q8—21no—
111C2×C4×Q8—21no—
112C2×C4×Q8—21no—
113C2×C4×Q8—21no—
114C2×C4×Q8—21no—
115C2×C4×D4—24no—
116C2×C4×D4—24no—
117C2×C4×D4—21no—
118C2×C4×D4—21no—
119C2×C4×D4C2312yes—
120C2×C4×D4C2312yes—
121C2×#117—22no—
122C2×#117—22no—
123C2×#117—22no—
124C2×#117—22no—
125C2×#117—48no—
126C2×#117C2312yes—
127C2×#117C2312yes—
128C22×C4⋊C4—21no—
129C22×C4⋊C4—21no—
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×C42—21no—
139C22×C42D411yescharacteristic
140C22×C42D411yescharacteristic
141C22×C42D411yescharacteristic
142C22×C42D411yescharacteristic
143C22×C42C2311yescharacteristic
144C22×C42C2311yescharacteristic
145C22×C42C2311yescharacteristic
146#428—28no—
147#428—28no—
148C2×#107C2314yes—
149C2×#107C2314yes—
150C2×#106C2314yes—
151C2×#106C2314yes—
152#418—28no—
153#418—28no—
154C2×#102C2314yes—
155C2×#102C2314yes—
156C2×#102C2314yes—
157C2×#102C2314yes—
158#391—21no—
159#391—21no—
160#391—21no—
161#391—21no—
162#390—21no—
163#390—21no—
164#390—21no—
165#390—21no—
166#390C2312yes—
167#390C2312yes—
168#390C2312yes—
169#390C2312yes—
170#389—21no—
171#389—21no—
172#389—21no—
173#389—21no—
174#389—21no—
175#389—21no—
176#389—21no—
177#389—21no—
178#389C2312yes—
179#389C2312yes—
180#389C2312yes—
181#389C2312yes—
182#389C2312yes—
183#389C2312yes—
184#389C2312yes—
185#389C2312yes—
186#388—22no—
187#388—22no—
188#388—22no—
189#388—22no—
190#388—22no—
191#388—22no—
192#388—22no—
193#388—22no—
194#387—22no—
195#387—22no—
196#387—22no—
197#387—22no—
198#385—22no—
199#385—22no—
200#384C2311yescharacteristic
201#384C2311yescharacteristic
202#382C2312yes—
203#380—21no—
204#380—21no—
205C4×C4⋊C4—22no—
206C4×C4⋊C4—22no—
207C4×C4⋊C4—22no—
208C4×C4⋊C4—22no—
209C4×C4⋊C4—21no—
210C4×C4⋊C4—21no—
211C4×C4⋊C4—21no—
212C4×C4⋊C4—21no—
213C4×C4⋊C4—21no—
214C4×C4⋊C4—21no—
215C4×C4⋊C4—21no—
216C4×C4⋊C4—21no—
217C4×C4⋊C4—22no—
218C4×C4⋊C4—22no—
219C4×C4⋊C4C2312yes—
220C4×C4⋊C4C2312yes—
221C4×C4⋊C4C2312yes—
222C4×C4⋊C4C2312yes—
223C4×C4⋊C4C2312yes—
224C4×C4⋊C4C2312yes—
225C4×C22⋊C4—22no—
226C4×C22⋊C4—22no—
227C4×C22⋊C4—22no—
228C4×C22⋊C4—22no—
229C4×C22⋊C4—22no—
230C4×C22⋊C4—22no—
231#376—22no—
232C2×#95—21no—
233C2×#95—21no—
234C2×#95—21no—
235C43—22no—
236C43D411yescharacteristic
237C43D411yescharacteristic
238C43D411yescharacteristic
239C43D411yescharacteristic
240C43C2311yescharacteristic
241C43C2311yescharacteristic
242C43C2311yescharacteristic
243C43C2311yescharacteristic
244#340C2314yes—
245#340C2314yes—
246#340C2314yes—
247#340C2314yes—
248#340C2314yes—
249#340C2314yes—
250#340C2314yes—
251#340C2314yes—
252#336C2312yes—
253#336C2312yes—
254#336C2312yes—
255#336C2312yes—
256#336C2314yes—
257#336C2314yes—
258#336C2314yes—
259#336C2314yes—
260C25—21no—
261C22×Q8—21no—
262C22×Q8—21no—
263C22×D4—21no—
264C22×D4—24no—
265C22×D4—22no—
266C22×D4—24no—
267C22×D4#4114yes—
268C22×D4C2412yes—
269C23×C4—28no—
270C23×C4—21no—
271C23×C4—22no—
272C23×C4—22no—
273C23×C4—21no—
274C23×C4—21no—
275C23×C4—44no—
276C23×C4—44no—
277C23×C4C2×D411yescharacteristic
278C23×C4C2×D411yescharacteristic
279C23×C4C2×D411yescharacteristic
280C23×C4C2×D411yescharacteristic
281C23×C4C2×D411yescharacteristic
282C23×C4C2×D411yescharacteristic
283C23×C4C2411yescharacteristic
284C2×M16—24no—
285C2×M16—24no—
286C2×M16—24no—
287C2×M16—24no—
288C2×M16—24no—
289C2×M16—24no—
290C22×C8C2414yes—
291C22×C8C2414yes—
292C4⋊Q8—24no—
293C4⋊Q8—24no—
294#125—24no—
295#125—24no—
296C22⋊Q8—28no—
297C22⋊Q8—28no—
298C4×Q8—28no—
299C4×Q8—28no—
300C4×Q8—44no—
301C4×Q8—44no—
302C4×Q8—44no—
303C4×Q8—44no—
304C4×D4—28no—
305C4×D4—28no—
306C4×D4—24no—
307C4×D4—24no—
308C4×D4—24no—
309C4×D4—24no—
310#117—24no—
311#117—24no—
312#117—24no—
313#117—48no—
314#117—48no—
315#117—48no—
316#117—48no—
317#117#4118yes—
318C2×C4⋊C4—21no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—21no—
322C2×C4⋊C4—21no—
323C2×C4⋊C4—22no—
324C2×C4⋊C4—24no—
325C2×C4⋊C4—24no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—22no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—22no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—22no—
338C2×C4⋊C4—22no—
339C2×C4⋊C4—22no—
340C2×C4⋊C4—44no—
341C2×C4⋊C4—44no—
342C2×C4⋊C4#4114yes—
343C2×C4⋊C4C2412yes—
344C2×C4⋊C4C2412yes—
345C2×C4⋊C4C2412yes—
346C2×C4⋊C4C2412yes—
347C2×C4⋊C4C2412yes—
348C2×C4⋊C4C2412yes—
349C2×C4⋊C4C2412yes—
350C2×C22⋊C4—28no—
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—44no—
364C2×C22⋊C4—44no—
365C2×C22⋊C4—44no—
366C2×C22⋊C4—44no—
367C2×C42—22no—
368C2×C42—22no—
369C2×C42—22no—
370C2×C42—24no—
371C2×C42—24no—
372C2×C42—24no—
373C2×C42—22no—
374C2×C42—22no—
375C2×C42—22no—
376C2×C42—22no—
377C2×C42—22no—
378C2×C42—22no—
379C2×C42—22no—
380C2×C42—42no—
381C2×C42—42no—
382C2×C42—42no—
383C2×C42—44no—
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×C42C2×D411yescharacteristic
404C2×C42C2×D411yescharacteristic
405C2×C42C2×D411yescharacteristic
406C2×C42C2411yescharacteristic
407C2×C42C2411yescharacteristic
408C2×C42C2411yescharacteristic
409C2×C42C2411yescharacteristic
410C2×C42C2411yescharacteristic
411C2×C42C2411yescharacteristic
412#107—28no—
413#107—28no—
414#106—28no—
415#106—28no—
416#102—28no—
417#102—28no—
418#102—28no—
419#102—28no—
420#95—22no—
421#95—22no—
422#95—22no—
423#95—22no—
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—
436C24—24no—
437C24—22no—
438C24—42no—
439C24—42no—
440C24—42no—
441C24—42no—
442C24—42no—
443C24—42no—
444C24C22×D411yescharacteristic
445C2×Q8—24no—
446C2×Q8—24no—
447C2×Q8—42no—
448C2×Q8—42no—
449C2×Q8—42no—
450C2×Q8—42no—
451C2×D4—24no—
452C2×D4—216no—
453C2×D4—24no—
454C2×D4—22no—
455C2×D4—24no—
456C2×D4—42no—
457C2×D4—42no—
458C2×D4—48no—
459C2×D4C2×#4114yes—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—28no—
464C22×C4—28no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—24no—
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—41no—
483C22×C4—41no—
484C22×C4—41no—
485C22×C4—41no—
486C22×C4—41no—
487C22×C4—41no—
488C22×C4—44no—
489C22×C4—432no—
490C22×C4—44no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—44no—
494C22×C4—44no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4C22×D411yescharacteristic
502C22×C4C22×D411yescharacteristic
503C22×C4C22×D411yescharacteristic
504C22×C4C22×D411yescharacteristic
505C22×C4C22×D411yescharacteristic
506C22×C4C22×D411yescharacteristic
507C22×C4C22×D411yescharacteristic
508C22×C4C22×D411yescharacteristic
509C22×C4C22×D411yescharacteristic
510C22×C4C22×D411yescharacteristic
511C22×C4C22×D411yescharacteristic
512C22×C4C22×D411yescharacteristic
513C22×C4C22×D411yescharacteristic
514C22×C4C2×#4112yes—
515C22×C4C2×#4114yes—
516C22×C4C2×#4112yes—
517C22×C42−1+414yes—
518C22×C4C2511yescharacteristic
519M16—48no—
520M16—48no—
521C2×C8—24no—
522C2×C8—24no—
523C2×C8—24no—
524C2×C8—24no—
525C2×C8—24no—
526C2×C8—24no—
527C4⋊C4—28no—
528C4⋊C4—28no—
529C4⋊C4—24no—
530C4⋊C4—24no—
531C4⋊C4—24no—
532C4⋊C4—22no—
533C4⋊C4—22no—
534C4⋊C4—22no—
535C4⋊C4—22no—
536C4⋊C4—22no—
537C4⋊C4—22no—
538C4⋊C4—24no—
539C4⋊C4—22no—
540C4⋊C4—24no—
541C4⋊C4—44no—
542C4⋊C4—44no—
543C4⋊C4—42no—
544C4⋊C4—42no—
545C4⋊C4—44no—
546C4⋊C4—44no—
547C4⋊C4—42no—
548C4⋊C4—42no—
549C4⋊C4—44no—
550C4⋊C4—44no—
551C4⋊C4—44no—
552C4⋊C4—42no—
553C4⋊C4—44no—
554C4⋊C4—42no—
555C4⋊C4C2×#4114yes—
556C4⋊C4C2×#4114yes—
557C4⋊C4C2×#4114yes—
558C22⋊C4—28no—
559C22⋊C4—28no—
560C22⋊C4—28no—
561C22⋊C4—44no—
562C22⋊C4—44no—
563C22⋊C4—44no—
564C22⋊C4—44no—
565C22⋊C4—44no—
566C22⋊C4—44no—
567C22⋊C4—44no—
568C22⋊C4—44no—
569C22⋊C4—44no—
570C42—22no—
571C42—22no—
572C42—22no—
573C42—22no—
574C42—28no—
575C42—22no—
576C42—22no—
577C42—22no—
578C42—22no—
579C42—22no—
580C42—22no—
581C42—22no—
582C42—22no—
583C42—22no—
584C42—22no—
585C42—22no—
586C42—21no—
587C42—21no—
588C42—21no—
589C42—21no—
590C42—22no—
591C42—22no—
592C42—22no—
593C42—22no—
594C42—41no—
595C42—41no—
596C42—41no—
597C42—41no—
598C42—41no—
599C42—41no—
600C42—44no—
601C42—44no—
602C42—44no—
603C42—44no—
604C42—44no—
605C42—44no—
606C42—44no—
607C42AGL(1,ℤ/8)14yes—
608C23—21no—
609C23—21no—
610C23—21no—
611C23—21no—
612C23—24no—
613C23—48no—
614C23—48no—
615C23—48no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—84no—
623C23—84no—
624C23—84no—
625C23—84no—
626C23#52512yes—
627C23#52512yes—
628C23#53612yes—
629C23C23×D411yescharacteristic
630Q8—48no—
631Q8—48no—
632D4—28no—
633D4—48no—
634D4—44no—
635C2×C4—28no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—21no—
656C2×C4—21no—
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—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—44no—
670C2×C4—44no—
671C2×C4—44no—
672C2×C4—44no—
673C2×C4—416no—
674C2×C4—416no—
675C2×C4—44no—
676C2×C4—48no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
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—84no—
696C2×C4—84no—
697C2×C4#52512yes—
698C2×C4#52512yes—
699C2×C4#53612yes—
700C2×C4#55218yes—
701C2×C4#55618yes—
702C2×C4C2×AGL(1,ℤ/8)12yes—
703C2×C4C2×AGL(1,ℤ/8)12yes—
704C2×C4C2×AGL(1,ℤ/8)12yes—
705C2×C4#57512yes—
706C2×C4#57512yes—
707C2×C4#57512yes—
708C2×C4C22×#4111yescharacteristic
709C2×C4C22×#4112yes—
710C2×C4C22×#4111yescharacteristic
711C2×C4C2×2−1+412yes—
712C8—44no—
713C8—44no—
714C22—22no—
715C22—22no—
716C22—22no—
717C22—22no—
718C22—22no—
719C22—22no—
720C22—44no—
721C22—44no—
722C22—44no—
723C22—816no—
724C22—82no—
725C22—82no—
726C22—82no—
727C22—82no—
728C22#259914yes—
729C22C2×#52511yescharacteristic
730C22C2×#52511yescharacteristic
731C22C2×#53611yescharacteristic
732C22C22×AGL(1,ℤ/8)11yescharacteristic
733C22C2×#57511yescharacteristic
734C22C2×#57511yescharacteristic
735C22C2×#57511yescharacteristic
736C4—22no—
737C4—22no—
738C4—22no—
739C4—22no—
740C4—22no—
741C4—22no—
742C4—44no—
743C4—41no—
744C4—41no—
745C4—41no—
746C4—44no—
747C4—41no—
748C4—44no—
749C4—41no—
750C4—41no—
751C4—82no—
752C4—82no—
753C4—82no—
754C4—82no—
755C4#259914yes—
756C4C2×#55212yes—
757C4C2×#55612yes—
758C2—24no—
759C2—84no—
760C2C2×#259911yescharacteristic
761C2#6055811yescharacteristic
762C2#6055911yescharacteristic
763C2#6056111yescharacteristic
764C2#6056311yescharacteristic
765C2#6086411yescharacteristic
766C2#6086611yescharacteristic
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. C4×#533C2semidirect
3. #29397C2semidirect
4. #29396C2semidirect
5. #29393C2semidirect
6. #29392C2semidirect
7. #29389C2semidirect
8. #29388C2semidirect
9. #23657C2semidirect
11. #23554C2semidirect
14. #21034C2semidirect
15. #21033C2semidirect
17. #20772C2semidirect
25. C4×C4⋊Q8C22semidirect
26. C4×C4⋊Q8C22semidirect
27. C4×C4⋊Q8C22semidirect
28. C4×C4⋊Q8C22semidirect
29. C4×#125C22semidirect
30. C4×#125C22semidirect
59. #2085C22semidirect
60. #2084C22semidirect
61. #2083C22semidirect
65. #2059C22semidirect
66. #2058C22semidirect
67. #2057C22semidirect
75. #1921C22semidirect
76. #1921C22semidirect
77. #1920C22semidirect
78. #1920C22semidirect
79. #1919C22semidirect
80. #1919C22semidirect
81. #1918C22semidirect
82. #1918C22semidirect
87. #1839C22semidirect
88. #1839C22semidirect
89. #1839C22semidirect
90. #1839C22semidirect

Maximal subgroups

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

subgroupindex
C4×#5332
C2×#22932
#293972
#293962
#293932
#293922
#293892
#293882
#236572
#236282
#235542
#234542
#210602
#210342
#210332
#208732
#207722