Finite Group Databasebeta

← #6792681

Subgroups — #6792681

Order 512.

1987 conjugacy classes of subgroups.

The subgroup lattice has 769 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36100C211yesmaximal, characteristic
2C2×#2563C211yesmaximal, characteristic, complemented
3#33108C211yesmaximal, characteristic, complemented
4#31329C214yesmaximal, complemented
5#31268C214yesmaximal, complemented
6#29894C212yesmaximal, complemented
7#28598C212yesmaximal, complemented
8#26297C212yesmaximal, complemented
9#25902C211yesmaximal, characteristic, complemented
10#25886C212yesmaximal, complemented
11#25339C212yesmaximal, complemented
12#24551C212yesmaximal, complemented
13#24299C211yesmaximal, characteristic, complemented
14#24004C212yesmaximal, complemented
15D4×C22⋊C8C211yesmaximal, characteristic, complemented
16#21763C212yesmaximal, complemented
17C4×#480C211yesmaximal, characteristic, complemented
18C2×#547C2211yescharacteristic
19C22×C4⋊Q8C2211yescharacteristic
20C2×#525C2212yes—
21C22×C4×D4C2211yescharacteristic
22C2×#487C2212yescomplemented
23C2×#483C2212yes—
24C2×#480C2211yescharacteristic
25C2×#476C2212yescomplemented
26C2×C8×D4C2212yes—
27C22×C22⋊C8C2212yes—
28#2857C2211yescharacteristic
29#2848C2212yes—
30#2563—21no—
31#2563—21no—
32#2563—22no—
33#2563C2212yes—
34#2563C2214yes—
35#2563C2212yes—
36#2542C2211yescharacteristic
37#2537C2211yescharacteristic
38#2455—22no—
39#2422—21no—
40#2418—22no—
41#2415C2212yes—
42#2408—21no—
43#2407C2212yes—
44C2×#393—22no—
45#2361—21no—
46#2354C2211yescharacteristic
47D4×C4⋊C4—21no—
48C4×#121C2211yescharacteristic
49C2×#390—21no—
50C2×#382—21no—
51C2×#380C2212yes—
52C2×#380C2212yes—
53C2×C4×C4⋊C4C2211yescharacteristic
54#2077C2214yescomplemented
55#2077C2214yescomplemented
56#2075C2214yescomplemented
57#2058C2212yescomplemented
58#2036C2214yescomplemented
59#2036C2214yescomplemented
60#2035C2214yescomplemented
61#2035C2214yescomplemented
62#2034C2214yescomplemented
63#2024C2214yescomplemented
64#2023C2212yescomplemented
65#1990C2212yescomplemented
66#1987C2212yescomplemented
67#1981C2212yescomplemented
68#1954C2212yes—
69#1948C2212yescomplemented
70#1927C2214yescomplemented
71#1925C2212yescomplemented
72#1918C2212yescomplemented
73#1893C2214yescomplemented
74#1892C2214yescomplemented
75#1892C2214yescomplemented
76#1874C2211yescharacteristic
77#1874C2212yes—
78#1872C2212yes—
79#1872C2212yes—
80#1872C2212yes—
81#1869C2214yes—
82#1854C2214yescomplemented
83#1853C2212yes—
84#1852C2211yescharacteristic
85#1825C2214yescomplemented
86#1823C2211yescharacteristic
87#1807C2214yescomplemented
88#1797C2211yescharacteristic
89#1788C2214yescomplemented
90#1788C2214yescomplemented
91#1779C2212yes—
92C4×#107C2212yescomplemented
93C4×#102C2212yescomplemented
94C4×C22⋊C8C2211yescharacteristic
95C22×#41C2312yes—
96C23×Q8—21no—
97C23×D4D411yescharacteristic
98C24×C4C2312yes—
99C23×C8C2314yes—
100#547—44no—
101C2×C4⋊Q8—21no—
102C2×C4⋊Q8—21no—
103C2×C4⋊Q8—44no—
104C2×C4⋊Q8C2311yescharacteristic
105C2×C4⋊Q8C2312yes—
106C2×C4⋊Q8C2312yes—
107#525—28no—
108#525—44no—
109C2×#123—22no—
110C2×#123—22no—
111C2×C22⋊Q8C2312yes—
112C2×C22⋊Q8C2312yes—
113C2×C22⋊Q8C2312yes—
114C2×C22⋊Q8C2312yes—
115C2×#121—21no—
116C2×#121—21no—
117C2×#121C2312yes—
118C2×#121C2311yescharacteristic
119C2×#120—22no—
120C2×C4×D4—21no—
121C2×C4×D4—22no—
122C2×C4×D4—22no—
123C2×C4×D4—44no—
124C2×C4×D4D411yescharacteristic
125C2×C4×D4D411yescharacteristic
126C2×C4×D4D412yes—
127C2×C4×D4C2311yescharacteristic
128C2×C4×D4C2311yescharacteristic
129C2×C4×D4C2311yescharacteristic
130C2×C4×D4C2312yes—
131C2×#117C2312yes—
132C22×C4⋊C4—21no—
133C22×C4⋊C4—21no—
134C22×C4⋊C4D411yescharacteristic
135C22×C4⋊C4C2311yescharacteristic
136C22×C4⋊C4C2311yescharacteristic
137C22×C4⋊C4C2312yes—
138C22×C22⋊C4—22no—
139C22×C22⋊C4—22no—
140C22×C22⋊C4D412yes—
141C22×C42—21no—
142C22×C42C2311yescharacteristic
143#487—44no—
144#483—44no—
145#480—24no—
146#476—44no—
147C8×D4—44no—
148C2×#107C2312yes—
149C2×#107C2312yes—
150C2×#106C2314yes—
151C2×#106C2314yes—
152C2×C4⋊C8C2312yes—
153C2×#103C2314yes—
154C2×#103C2314yes—
155C2×#103C2314yes—
156C2×#103C2314yes—
157C2×#102C2312yes—
158C2×#102C2312yes—
159C2×#102C2314yes—
160C2×C22⋊C8—44no—
161C2×C22⋊C8C2312yes—
162C2×C22⋊C8C2311yescharacteristic
163C2×C22⋊C8C2311yescharacteristic
164C2×C22⋊C8C2314yes—
165C2×C22⋊C8C2314yes—
166C2×C22⋊C8C2314yes—
167C2×C4×C8C2312yes—
168#399—22no—
169#397—22no—
170#394—22no—
171#394—22no—
172#394—22no—
173#393—24no—
174#393—24no—
175#393—24no—
176#393—24no—
177#392—22no—
178#391C2312yes—
179#390—22no—
180#390—24no—
181#390—22no—
182#390—21no—
183#390—21no—
184#390C2311yescharacteristic
185#389—22no—
186#389—21no—
187#389—21no—
188#389C2311yescharacteristic
189#388—22no—
190#388—22no—
191#388—21no—
192#386—21no—
193#386—22no—
194#385—22no—
195#385—22no—
196#385—22no—
197#385—22no—
198#384—21no—
199#384C2311yescharacteristic
200#382—22no—
201#382—22no—
202#382—24no—
203#380—22no—
204#380—22no—
205#380—22no—
206#380—22no—
207#380—21no—
208#380—21no—
209#380—21no—
210#380C2314yes—
211#380C2314yes—
212#380C2314yes—
213#380C2314yes—
214#380C2312yes—
215#380C2312yes—
216#380C2311yescharacteristic
217#379—22no—
218C4×C4⋊C4—21no—
219C4×C4⋊C4—21no—
220C4×C4⋊C4—21no—
221C4×C4⋊C4C2312yes—
222C4×C4⋊C4C2312yes—
223C4×C4⋊C4C2311yescharacteristic
224C4×C22⋊C4—21no—
225C2×#95—21no—
226C2×#95—22no—
227C2×#95—22no—
228#340C2314yes—
229#340C2312yes—
230#340C2314yes—
231#340C2314yes—
232#340C2314yes—
233#340C2314yes—
234#340C2312yes—
235#340C2312yes—
236#340C2312yes—
237#336C2312yes—
238#336C2312yes—
239C25C2×D412yes—
240C2×#41—24no—
241C2×#41—42no—
242C2×#41—44no—
243C2×#41—44no—
244C22×Q8—22no—
245C22×Q8—22no—
246C22×Q8—44no—
247C22×Q8—82no—
248C22×Q8—82no—
249C22×Q8C2412yes—
250C22×D4—21no—
251C22×D4—24no—
252C22×D4—22no—
253C22×D4—22no—
254C22×D4—24no—
255C22×D4—42no—
256C22×D4C2×D411yescharacteristic
257C22×D4C2×D412yes—
258C22×D4C2×D411yescharacteristic
259C22×D4C2411yescharacteristic
260C23×C4—24no—
261C23×C4—24no—
262C23×C4—22no—
263C23×C4—21no—
264C23×C4—21no—
265C23×C4—21no—
266C23×C4—22no—
267C23×C4—44no—
268C23×C4—44no—
269C23×C4C2×D411yescharacteristic
270C23×C4C2×D411yescharacteristic
271C23×C4C2×D412yes—
272C23×C4C2×D412yes—
273C23×C4C2×D412yes—
274C23×C4C2412yes—
275C23×C4C2412yes—
276C23×C4C2411yescharacteristic
277C22×C8—44no—
278C22×C8—44no—
279C22×C8—44no—
280C22×C8C2412yes—
281C22×C8C2414yes—
282C22×C8C2412yes—
283C4⋊Q8—24no—
284C4⋊Q8—24no—
285C4⋊Q8—24no—
286C4⋊Q8—44no—
287C4⋊Q8—44no—
288C4⋊Q8—44no—
289#123—48no—
290#123—48no—
291C22⋊Q8—24no—
292C22⋊Q8—24no—
293C22⋊Q8—24no—
294C22⋊Q8—42no—
295C22⋊Q8—44no—
296C22⋊Q8—44no—
297#121—22no—
298#121—24no—
299#121—42no—
300#121—44no—
301#121—44no—
302#121#4114yes—
303#120—48no—
304C4×D4—24no—
305C4×D4—24no—
306C4×D4—24no—
307C4×D4—44no—
308C4×D4—42no—
309C4×D4—42no—
310C4×D4—44no—
311C4×D4—48no—
312C4×D4—48no—
313C4×D4—44no—
314#117—24no—
315#117—42no—
316C2×C4⋊C4—22no—
317C2×C4⋊C4—22no—
318C2×C4⋊C4—21no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—21no—
324C2×C4⋊C4—21no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—21no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—22no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—42no—
333C2×C4⋊C4—42no—
334C2×C4⋊C4—44no—
335C2×C4⋊C4—44no—
336C2×C4⋊C4—44no—
337C2×C4⋊C4C2×D411yescharacteristic
338C2×C4⋊C4C2×D411yescharacteristic
339C2×C4⋊C4C2×D412yes—
340C2×C4⋊C4C2414yes—
341C2×C4⋊C4C2412yes—
342C2×C4⋊C4C2412yes—
343C2×C4⋊C4C2412yes—
344C2×C4⋊C4C2411yescharacteristic
345C2×C4⋊C4C2411yescharacteristic
346C2×C4⋊C4C2411yescharacteristic
347C2×C22⋊C4—21no—
348C2×C22⋊C4—22no—
349C2×C22⋊C4—22no—
350C2×C22⋊C4—22no—
351C2×C22⋊C4—21no—
352C2×C22⋊C4—22no—
353C2×C22⋊C4—22no—
354C2×C22⋊C4—22no—
355C2×C22⋊C4—21no—
356C2×C22⋊C4—21no—
357C2×C22⋊C4—24no—
358C2×C22⋊C4—24no—
359C2×C22⋊C4—24no—
360C2×C22⋊C4—24no—
361C2×C22⋊C4—22no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—21no—
364C2×C22⋊C4—44no—
365C2×C22⋊C4—84no—
366C2×C22⋊C4—84no—
367C2×C22⋊C4C2×D412yes—
368C2×C22⋊C4C2×D412yes—
369C2×C22⋊C4C2×D412yes—
370C2×C22⋊C4C2×D412yes—
371C2×C42—24no—
372C2×C42—22no—
373C2×C42—21no—
374C2×C42—22no—
375C2×C42—22no—
376C2×C42—44no—
377C2×C42C2×D411yescharacteristic
378C2×C42C2×D411yescharacteristic
379C2×C42C2411yescharacteristic
380C2×C42C2411yescharacteristic
381#107—24no—
382#107—42no—
383#106—44no—
384#106—44no—
385C4⋊C8—24no—
386#103—44no—
387#103—44no—
388#103—44no—
389#103—44no—
390#102—24no—
391#102—42no—
392#102—44no—
393C22⋊C8—22no—
394C22⋊C8—22no—
395C22⋊C8—24no—
396C22⋊C8—44no—
397C22⋊C8—44no—
398C22⋊C8—44no—
399C4×C8—24no—
400#95—22no—
401#95—22no—
402#95—24no—
403#95—24no—
404#95—24no—
405#95—24no—
406#95—21no—
407#95—21no—
408#95—22no—
409#95—21no—
410#95—22no—
411#95—22no—
412#95—22no—
413C24—24no—
414C24—21no—
415C24—24no—
416C24—24no—
417C24—24no—
418C24—42no—
419C24—42no—
420C24—42no—
421C24C22×D412yes—
422C24C22×D412yes—
423C24C22×D411yescharacteristic
424#41—88no—
425#41—88no—
426C2×Q8—22no—
427C2×Q8—22no—
428C2×Q8—24no—
429C2×Q8—24no—
430C2×Q8—44no—
431C2×Q8—44no—
432C2×Q8—82no—
433C2×Q8—82no—
434C2×Q8—82no—
435C2×Q8—82no—
436C2×Q8—816no—
437C2×D4—24no—
438C2×D4—24no—
439C2×D4—22no—
440C2×D4—22no—
441C2×D4—22no—
442C2×D4—24no—
443C2×D4—22no—
444C2×D4—22no—
445C2×D4—22no—
446C2×D4—21no—
447C2×D4—22no—
448C2×D4—416no—
449C2×D4—42no—
450C2×D4—42no—
451C2×D4—42no—
452C2×D4—44no—
453C2×D4—44no—
454C2×D4—44no—
455C2×D4—44no—
456C2×D4—82no—
457C2×D4—82no—
458C2×D4#13714yes—
459C2×D4C2×#4112yes—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—21no—
466C22×C4—24no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—24no—
472C22×C4—24no—
473C22×C4—22no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—21no—
481C22×C4—22no—
482C22×C4—21no—
483C22×C4—24no—
484C22×C4—22no—
485C22×C4—41no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—44no—
493C22×C4—44no—
494C22×C4—42no—
495C22×C4—44no—
496C22×C4—44no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—44no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—88no—
507C22×C4—88no—
508C22×C4—82no—
509C22×C4#13514yes—
510C22×C4C22×D412yes—
511C22×C4C22×D411yescharacteristic
512C22×C4C22×D412yes—
513C22×C4C22×D411yescharacteristic
514C22×C4C22×D411yescharacteristic
515C22×C4C22×D411yescharacteristic
516C22×C4C22×D411yescharacteristic
517C22×C4C2×#4112yes—
518C22×C4H(5,𝔽2)12yes—
519C22×C4C2511yescharacteristic
520C2×C8—22no—
521C2×C8—22no—
522C2×C8—22no—
523C2×C8—22no—
524C2×C8—24no—
525C2×C8—24no—
526C2×C8—22no—
527C2×C8—24no—
528C2×C8—22no—
529C2×C8—88no—
530C4⋊C4—22no—
531C4⋊C4—22no—
532C4⋊C4—21no—
533C4⋊C4—22no—
534C4⋊C4—22no—
535C4⋊C4—24no—
536C4⋊C4—22no—
537C4⋊C4—24no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—22no—
541C4⋊C4—22no—
542C4⋊C4—22no—
543C4⋊C4—42no—
544C4⋊C4—44no—
545C4⋊C4—42no—
546C4⋊C4—44no—
547C4⋊C4—44no—
548C4⋊C4—44no—
549C4⋊C4—42no—
550C4⋊C4—44no—
551C4⋊C4—42no—
552C4⋊C4—42no—
553C4⋊C4—44no—
554C4⋊C4—42no—
555C4⋊C4—42no—
556C4⋊C4—81no—
557C4⋊C4—82no—
558C4⋊C4C2×#4112yes—
559C22⋊C4—24no—
560C22⋊C4—24no—
561C22⋊C4—24no—
562C22⋊C4—42no—
563C22⋊C4—42no—
564C22⋊C4—44no—
565C22⋊C4—44no—
566C22⋊C4—44no—
567C22⋊C4—44no—
568C22⋊C4—44no—
569C22⋊C4—42no—
570C22⋊C4—44no—
571C22⋊C4—42no—
572C22⋊C4—42no—
573C22⋊C4—81no—
574C22⋊C4—82no—
575C22⋊C4—84no—
576C22⋊C4—84no—
577C22⋊C4—84no—
578C22⋊C4—84no—
579C22⋊C4—82no—
580C42—22no—
581C42—22no—
582C42—22no—
583C42—44no—
584C42—44no—
585C42—44no—
586C42—42no—
587C42H(5,𝔽2)14yes—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—22no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—22no—
600C23—22no—
601C23—22no—
602C23—22no—
603C23—22no—
604C23—22no—
605C23—22no—
606C23—48no—
607C23—48no—
608C23—48no—
609C23—41no—
610C23—41no—
611C23—41no—
612C23—48no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—84no—
617C23—84no—
618C23—84no—
619C23#54612yes—
620C23C2×#13512yes—
621C23C2×#13714yes—
622C23#57712yes—
623C23C23×D411yescharacteristic
624Q8—44no—
625Q8—44no—
626Q8—88no—
627Q8—88no—
628D4—28no—
629D4—24no—
630D4—48no—
631D4—48no—
632D4—44no—
633D4—42no—
634D4—88no—
635D4—88no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—28no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—21no—
655C2×C4—44no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—44no—
659C2×C4—44no—
660C2×C4—44no—
661C2×C4—44no—
662C2×C4—42no—
663C2×C4—41no—
664C2×C4—44no—
665C2×C4—42no—
666C2×C4—41no—
667C2×C4—42no—
668C2×C4—44no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—41no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—44no—
683C2×C4—84no—
684C2×C4—84no—
685C2×C4—84no—
686C2×C4—88no—
687C2×C4—84no—
688C2×C4—88no—
689C2×C4—84no—
690C2×C4—84no—
691C2×C4#53412yes—
692C2×C4#53412yes—
693C2×C4#54612yes—
694C2×C4C2×#13512yes—
695C2×C4C2×#13512yes—
696C2×C4C2×#13712yes—
697C2×C4C22×#4111yescharacteristic
698C2×C4C2×H(5,𝔽2)12yes—
699C2×C4C2×H(5,𝔽2)11yescharacteristic
700C2×C4#58512yes—
701C8—42no—
702C8—44no—
703C8—42no—
704C22—22no—
705C22—22no—
706C22—22no—
707C22—22no—
708C22—22no—
709C22—22no—
710C22—24no—
711C22—24no—
712C22—24no—
713C22—42no—
714C22—42no—
715C22—42no—
716C22—42no—
717C22—42no—
718C22—42no—
719C22—42no—
720C22—42no—
721C22—42no—
722C22—42no—
723C22—42no—
724C22—42no—
725C22—42no—
726C22—42no—
727C22—816no—
728C22—81no—
729C22—81no—
730C22—81no—
731C22—81no—
732C22#330314yes—
733C22C2×#53411yescharacteristic
734C22C2×#54611yescharacteristic
735C22#348511yescharacteristic
736C22C22×#13511yescharacteristic
737C22C22×#13711yescharacteristic
738C22C2×#57711yescharacteristic
739C22#358511yescharacteristic
740C4—22no—
741C4—22no—
742C4—22no—
743C4—41no—
744C4—42no—
745C4—42no—
746C4—42no—
747C4—81no—
748C4—82no—
749C4—81no—
750C4—84no—
751C4—82no—
752C4—82no—
753C4—82no—
754C4#319014yes—
755C4#351412yes—
756C4#355812yes—
757C2—24no—
758C2—44no—
759C2—82no—
760C2—82no—
761C2#3890611yescharacteristic
762C2C2×#319011yescharacteristic
763C2#6075711yescharacteristic
764C2C2×#330311yescharacteristic
765C2#6116211yescharacteristic
766C2#6170011yescharacteristic
767C2#6173511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36100C2
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×#2563C2semidirect
3. #33108C2semidirect
4. #31329C2semidirect
5. #31268C2semidirect
6. #29894C2semidirect
7. #28598C2semidirect
8. #26297C2semidirect
9. #25902C2semidirect
10. #25886C2semidirect
11. #25339C2semidirect
12. #24551C2semidirect
13. #24299C2semidirect
14. #24004C2semidirect
15. D4×C22⋊C8C2semidirect
16. #21763C2semidirect
17. C4×#480C2semidirect
22. C2×#487C22semidirect
25. C2×#476C22semidirect
54. #2077C22semidirect
55. #2077C22semidirect
56. #2075C22semidirect
57. #2058C22semidirect
58. #2036C22semidirect
59. #2036C22semidirect
60. #2035C22semidirect
61. #2035C22semidirect
62. #2034C22semidirect
63. #2024C22semidirect
64. #2023C22semidirect
65. #1990C22semidirect
66. #1987C22semidirect
67. #1981C22semidirect
69. #1948C22semidirect
70. #1927C22semidirect
71. #1925C22semidirect
72. #1918C22semidirect
73. #1893C22semidirect
74. #1892C22semidirect
75. #1892C22semidirect
82. #1854C22semidirect
85. #1825C22semidirect
87. #1807C22semidirect
89. #1788C22semidirect
90. #1788C22semidirect
92. C4×#107C22semidirect
93. C4×#102C22semidirect

Maximal subgroups

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

subgroupindex
#361002
C2×#25632
#331082
#313292
#312682
#298942
#285982
#262972
#259022
#258862
#253392
#245512
#242992
#240042
D4×C22⋊C82
#217632
C4×#4802