Finite Group Databasebeta

← #6993226

Subgroups — #6993226

Order 512.

1959 conjugacy classes of subgroups.

The subgroup lattice has 772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36258C211yesmaximal, characteristic
2#35280C211yesmaximal, characteristic, complemented
3#32723C212yesmaximal, complemented
4#31202C214yesmaximal, complemented
5#31040C214yesmaximal, complemented
6#30365C212yesmaximal, complemented
7#29950C212yesmaximal, complemented
8#29661C211yesmaximal, characteristic, complemented
9#28311C212yesmaximal, complemented
10#28272C212yesmaximal, complemented
11#27909C211yesmaximal, characteristic, complemented
12#27677C211yesmaximal, characteristic, complemented
13#25303C212yesmaximal, complemented
14#25016C212yesmaximal, complemented
15#24240C212yesmaximal, complemented
16#23568C211yesmaximal, characteristic, complemented
17#22532C211yesmaximal, characteristic, complemented
18C2×#546—21no—
19C2×D42C2211yescharacteristic
20C2×#533C2211yescharacteristic, complemented
21C2×C4×#41C2211yescharacteristic
22C2×#484C2214yescomplemented
23C2×#480C2214yescomplemented
24C2×#460C2212yes—
25C2×#450C2214yes—
26C2×#446C2212yescomplemented
27C2×C4×SD16C2212yes—
28#2857C2212yescomplemented
29#2857C2212yescomplemented
30#2856C2211yescharacteristic
31#2854C2212yes—
32#2629—22no—
33#2582—21no—
34#2582C2212yescomplemented
35#2548C2211yescharacteristic
36#2538—21no—
37#2538C2211yescharacteristic
38#2538C2212yes—
39#2426—21no—
40#2424—22no—
41#2417—22no—
42#2417C2214yescomplemented
43#2416C2212yes—
44#2414—21no—
45#2411—22no—
46#2408C2212yes—
47D4×C4⋊C4C2211yescharacteristic
48D4×C22⋊C4—21no—
49#2316—21no—
50#2311—21no—
51C4×#121C2211yescharacteristic
52C2×#390C2212yes—
53C2×#384C2211yescharacteristic, complemented
54#2099C2212yescomplemented
55#2093C2212yes—
56#2093C2212yescomplemented
57#2093C2212yescomplemented
58#2076C2214yescomplemented
59#2068C2214yescomplemented
60#2067C2214yes—
61#2067C2214yescomplemented
62#2058C2211yescharacteristic, complemented
63#2055C2214yescomplemented
64#2043C2211yescharacteristic, complemented
65#2036C2214yescomplemented
66#2035C2212yescomplemented
67#2034C2214yes—
68#2023C2211yescharacteristic
69#2023C2212yescomplemented
70#2013C2211yescharacteristic
71#2013C2212yescomplemented
72#2000C2212yes—
73#2000C2214yes—
74#2000C2214yescomplemented
75#1973C2214yes—
76#1973C2214yescomplemented
77#1957C2212yes—
78#1955C2214yescomplemented
79#1954C2212yes—
80#1947C2212yescomplemented
81#1943C2214yescomplemented
82#1936C2214yescomplemented
83#1874C2212yes—
84#1852C2212yescomplemented
85#1852C2214yescomplemented
86#1845C2212yescomplemented
87#1803C2212yescomplemented
88#1802C2212yes—
89#1797C2211yescharacteristic, complemented
90#1797C2212yescomplemented
91#1786C2214yes—
92C4×#103C2212yescomplemented
93#1749C2212yescomplemented
94C4×C22⋊C8C2211yescharacteristic, complemented
95C22×#41D411yescharacteristic
96C23×D4—21no—
97C23×D4C2312yes—
98C22×SD16C2312yes—
99C22×SD16C2314yes—
100#546—48no—
101D42—44no—
102#533—44no—
103C2×C4⋊Q8C2311yescharacteristic
104C2×C4⋊Q8C2311yescharacteristic
105C2×#127C2311yescharacteristic
106C2×#125—21no—
107C2×#124—21no—
108C2×#123—22no—
109C2×C22⋊Q8—21no—
110C2×C22⋊Q8—21no—
111C2×C22⋊Q8—22no—
112C2×C22⋊Q8C2314yes—
113C2×C22⋊Q8C2312yes—
114C2×#121—22no—
115C2×#121—21no—
116C2×#121—21no—
117C2×#121—21no—
118C2×#121C2311yescharacteristic
119C2×#121C2312yes—
120C2×#121C2312yes—
121C2×#120—22no—
122C2×#120—22no—
123C4×#41—44no—
124C2×C4×Q8—21no—
125C2×C4×Q8D411yescharacteristic
126C2×C4×Q8C2312yes—
127C2×C4×Q8C2311yescharacteristic
128C2×C4×D4—21no—
129C2×C4×D4—21no—
130C2×C4×D4D411yescharacteristic
131C2×C4×D4D412yes—
132C2×C4×D4C2311yescharacteristic
133C2×C4×D4C2311yescharacteristic
134C2×C4×D4C2312yes—
135C2×#117—21no—
136C2×#117D411yescharacteristic
137C2×#117D412yes—
138C22×C4⋊C4—21no—
139C22×C4⋊C4—21no—
140C22×C4⋊C4C2312yes—
141C22×C4⋊C4C2312yes—
142C22×C22⋊C4—22no—
143C22×C22⋊C4—22no—
144C22×C42C2311yescharacteristic
145C22×C42C2312yes—
146#484—48no—
147#480—48no—
148#460—44no—
149#450—48no—
150#446—44no—
151C4×SD16—44no—
152C2×#107C2314yes—
153C2×#107C2314yes—
154C2×#107C2314yes—
155C2×#106C2312yes—
156C2×C4⋊C8C2312yes—
157C2×C4⋊C8C2314yes—
158C2×#103C2312yes—
159C2×#103C2312yes—
160C2×#103C2314yes—
161C2×#103C2312yes—
162C2×#102C2314yes—
163C2×#102C2314yes—
164C2×#102C2314yes—
165C2×#102C2312yes—
166C2×#102C2314yes—
167C2×C22⋊C8C2312yes—
168C2×C22⋊C8C2314yes—
169C2×C22⋊C8C2312yes—
170C2×C22⋊C8C2314yes—
171C2×#97C2314yes—
172C2×C4×C8C2312yes—
173#398—24no—
174#398—24no—
175#396—22no—
176#396—22no—
177#396—24no—
178#396—24no—
179#394—22no—
180#394—22no—
181#394—22no—
182#392—22no—
183#391—22no—
184#391—22no—
185#391C2314yes—
186#390—22no—
187#390—21no—
188#390—21no—
189#390—21no—
190#390—22no—
191#390—22no—
192#390C2312yes—
193#390C2312yes—
194#390C2312yes—
195#390C2312yes—
196#390C2311yescharacteristic
197#389—22no—
198#389—22no—
199#389—21no—
200#389—22no—
201#389—22no—
202#389—22no—
203#389C2311yescharacteristic
204#389C2314yes—
205#389C2312yes—
206#388—22no—
207#388—22no—
208#388—21no—
209#386—24no—
210#386—22no—
211#386—21no—
212#386—22no—
213#385—22no—
214#384—21no—
215#384—21no—
216#384C2312yes—
217#384C2311yescharacteristic
218#384C2312yes—
219#380—22no—
220#380—22no—
221#380—22no—
222#380—21no—
223#380—24no—
224#380C2312yes—
225#380C2314yes—
226#380C2311yescharacteristic
227#379—22no—
228C4×C4⋊C4C2311yescharacteristic
229C4×C22⋊C4—21no—
230#340C2314yes—
231#340C2314yes—
232#340C2312yes—
233#340C2314yes—
234#340C2312yes—
235#336C2312yes—
236#336C2311yescharacteristic
237#336C2311yescharacteristic
238C25—22no—
239C2×#41—24no—
240C2×#41—24no—
241C2×#41—42no—
242C22×Q8—21no—
243C22×Q8C2×D411yescharacteristic
244C22×Q8C2412yes—
245C22×D4—24no—
246C22×D4—22no—
247C22×D4—21no—
248C22×D4—22no—
249C22×D4—21no—
250C22×D4—22no—
251C22×D4—21no—
252C22×D4—44no—
253C22×D4—42no—
254C22×D4—44no—
255C22×D4—44no—
256C22×D4—44no—
257C22×D4—44no—
258C22×D4C2×D412yes—
259C22×D4C2×D411yescharacteristic
260C22×D4C2412yes—
261C22×D4C2411yescharacteristic
262C23×C4—22no—
263C23×C4—22no—
264C23×C4—21no—
265C23×C4C2×D412yes—
266C23×C4C2×D411yescharacteristic
267C23×C4C2×D411yescharacteristic
268C23×C4C2×D412yes—
269C23×C4C2411yescharacteristic
270C23×C4C2412yes—
271C2×SD16—24no—
272C2×SD16—24no—
273C2×SD16—42no—
274C2×SD16—44no—
275C2×SD16—44no—
276C2×SD16—44no—
277C22×C8C2414yes—
278C22×C8C2412yes—
279C22×C8C2412yes—
280C4⋊Q8—42no—
281C4⋊Q8—42no—
282#127—24no—
283#125—44no—
284#124—44no—
285#123—48no—
286C22⋊Q8—42no—
287C22⋊Q8—42no—
288C22⋊Q8—44no—
289C22⋊Q8—44no—
290C22⋊Q8—44no—
291C22⋊Q8—44no—
292C22⋊Q8—84no—
293#121—22no—
294#121—41no—
295#121—44no—
296#121—44no—
297#121—48no—
298#121—44no—
299#121—44no—
300#121—82no—
301#120—48no—
302#120—48no—
303C4×Q8—24no—
304C4×Q8—24no—
305C4×Q8—24no—
306C4×Q8—42no—
307C4×Q8—44no—
308C4×D4—24no—
309C4×D4—24no—
310C4×D4—42no—
311C4×D4—44no—
312C4×D4—44no—
313C4×D4—44no—
314C4×D4—44no—
315#117—44no—
316#117—42no—
317#117—44no—
318C2×C4⋊C4—22no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—21no—
322C2×C4⋊C4—21no—
323C2×C4⋊C4—21no—
324C2×C4⋊C4—21no—
325C2×C4⋊C4—21no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—22no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—22no—
330C2×C4⋊C4—22no—
331C2×C4⋊C4—22no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—24no—
334C2×C4⋊C4—24no—
335C2×C4⋊C4—44no—
336C2×C4⋊C4—44no—
337C2×C4⋊C4—44no—
338C2×C4⋊C4—82no—
339C2×C4⋊C4C2×D411yescharacteristic
340C2×C4⋊C4C2×D412yes—
341C2×C4⋊C4C2×D411yescharacteristic
342C2×C4⋊C4C2×D412yes—
343C2×C4⋊C4C2411yescharacteristic
344C2×C4⋊C4C2412yes—
345C2×C4⋊C4C2414yes—
346C2×C4⋊C4C2411yescharacteristic
347C2×C4⋊C4C2412yes—
348C2×C4⋊C4C2411yescharacteristic
349C2×C22⋊C4—22no—
350C2×C22⋊C4—22no—
351C2×C22⋊C4—21no—
352C2×C22⋊C4—21no—
353C2×C22⋊C4—21no—
354C2×C22⋊C4—22no—
355C2×C22⋊C4—22no—
356C2×C22⋊C4—22no—
357C2×C22⋊C4—22no—
358C2×C22⋊C4—21no—
359C2×C22⋊C4—22no—
360C2×C22⋊C4—22no—
361C2×C22⋊C4—21no—
362C2×C22⋊C4—24no—
363C2×C22⋊C4—24no—
364C2×C22⋊C4—22no—
365C2×C22⋊C4—22no—
366C2×C22⋊C4—22no—
367C2×C22⋊C4—22no—
368C2×C22⋊C4—48no—
369C2×C22⋊C4—84no—
370C2×C22⋊C4C2×D412yes—
371C2×C22⋊C4C2×D412yes—
372C2×C22⋊C4C2×D412yes—
373C2×C42—24no—
374C2×C42—22no—
375C2×C42—21no—
376C2×C42—44no—
377C2×C42C2×D411yescharacteristic
378C2×C42C2×D411yescharacteristic
379C2×C42C2×D412yes—
380C2×C42C2×D412yes—
381C2×C42C2412yes—
382C2×C42C2411yescharacteristic
383C2×C42C2411yescharacteristic
384#107—28no—
385#107—44no—
386#107—44no—
387#106—42no—
388C4⋊C8—24no—
389C4⋊C8—44no—
390#103—24no—
391#103—42no—
392#103—42no—
393#103—44no—
394#102—28no—
395#102—42no—
396#102—44no—
397#102—44no—
398#102—44no—
399C22⋊C8—28no—
400C22⋊C8—24no—
401C22⋊C8—44no—
402C22⋊C8—42no—
403#97—44no—
404C4×C8—24no—
405#95—21no—
406#95—21no—
407#95—21no—
408#95—24no—
409#95—24no—
410#95—22no—
411#95—24no—
412#95—24no—
413#95—22no—
414C24—21no—
415C24—22no—
416C24—44no—
417C24—44no—
418C24—44no—
419C24—44no—
420C24—82no—
421C24—82no—
422C24—82no—
423C24C22×D411yescharacteristic
424C24C22×D412yes—
425#41—416no—
426C2×Q8—22no—
427C2×Q8—22no—
428C2×Q8—22no—
429C2×Q8—22no—
430C2×Q8—22no—
431C2×Q8—22no—
432C2×Q8—22no—
433C2×Q8—22no—
434C2×Q8—22no—
435C2×Q8—42no—
436C2×Q8—42no—
437C2×Q8—42no—
438C2×D4—24no—
439C2×D4—24no—
440C2×D4—22no—
441C2×D4—22no—
442C2×D4—22no—
443C2×D4—22no—
444C2×D4—24no—
445C2×D4—24no—
446C2×D4—22no—
447C2×D4—21no—
448C2×D4—22no—
449C2×D4—42no—
450C2×D4—44no—
451C2×D4—44no—
452C2×D4—42no—
453C2×D4—44no—
454C2×D4—44no—
455C2×D4—42no—
456C2×D4—44no—
457C2×D4—44no—
458C2×D4—42no—
459C2×D4—42no—
460C2×D4—42no—
461C2×D4—42no—
462C2×D4—82no—
463C2×D4—81no—
464C2×D4—81no—
465C2×D4—88no—
466C2×D4—88no—
467C2×D4—81no—
468C2×D4—82no—
469C2×D4—82no—
470C2×D4—816no—
471C2×D4#13714yes—
472C2×D42−1+412yes—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—24no—
476C22×C4—22no—
477C22×C4—24no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—24no—
481C22×C4—22no—
482C22×C4—24no—
483C22×C4—21no—
484C22×C4—22no—
485C22×C4—21no—
486C22×C4—22no—
487C22×C4—24no—
488C22×C4—21no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—21no—
492C22×C4—24no—
493C22×C4—21no—
494C22×C4—22no—
495C22×C4—42no—
496C22×C4—41no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—44no—
500C22×C4—44no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—82no—
505C22×C4—82no—
506C22×C4—82no—
507C22×C4—82no—
508C22×C4AGL(1,ℤ/8)14yes—
509C22×C4C22×D412yes—
510C22×C4C22×D412yes—
511C22×C4C22×D412yes—
512C22×C4C22×D411yescharacteristic
513C22×C4C22×D411yescharacteristic
514C22×C4C22×D411yescharacteristic
515C22×C4C22×D411yescharacteristic
516C22×C4C22×D411yescharacteristic
517C22×C4C2511yescharacteristic
518SD16—48no—
519SD16—88no—
520C2×C8—22no—
521C2×C8—22no—
522C2×C8—22no—
523C2×C8—24no—
524C2×C8—22no—
525C2×C8—24no—
526C2×C8—22no—
527C2×C8—24no—
528C2×C8H(5,𝔽2)14yes—
529C4⋊C4—22no—
530C4⋊C4—22no—
531C4⋊C4—24no—
532C4⋊C4—24no—
533C4⋊C4—22no—
534C4⋊C4—22no—
535C4⋊C4—24no—
536C4⋊C4—22no—
537C4⋊C4—22no—
538C4⋊C4—24no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—42no—
542C4⋊C4—42no—
543C4⋊C4—42no—
544C4⋊C4—44no—
545C4⋊C4—42no—
546C4⋊C4—44no—
547C4⋊C4—44no—
548C4⋊C4—44no—
549C4⋊C4—44no—
550C4⋊C4—42no—
551C4⋊C4—42no—
552C4⋊C4—44no—
553C4⋊C4—82no—
554C4⋊C4—82no—
555C4⋊C4—82no—
556C4⋊C4—81no—
557C4⋊C4—84no—
558C4⋊C4—84no—
559C22⋊C4—24no—
560C22⋊C4—42no—
561C22⋊C4—42no—
562C22⋊C4—42no—
563C22⋊C4—44no—
564C22⋊C4—44no—
565C22⋊C4—44no—
566C22⋊C4—44no—
567C22⋊C4—44no—
568C22⋊C4—44no—
569C22⋊C4—42no—
570C22⋊C4—42no—
571C22⋊C4—42no—
572C22⋊C4—44no—
573C22⋊C4—42no—
574C22⋊C4—44no—
575C22⋊C4—82no—
576C22⋊C4—82no—
577C22⋊C4—82no—
578C22⋊C4—82no—
579C22⋊C4—84no—
580C22⋊C4—84no—
581C42—22no—
582C42—22no—
583C42—24no—
584C42—22no—
585C42—42no—
586C42—42no—
587C42—44no—
588C42—42no—
589C42H(5,𝔽2)14yes—
590C23—21no—
591C23—22no—
592C23—22no—
593C23—21no—
594C23—21no—
595C23—22no—
596C23—22no—
597C23—21no—
598C23—22no—
599C23—21no—
600C23—22no—
601C23—21no—
602C23—22no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—88no—
617C23—88no—
618C23—88no—
619C23—88no—
620C23—164no—
621C23—164no—
622C23—164no—
623C23C2×AGL(1,ℤ/8)12yes—
624C23C2×#13714yes—
625C23C23×D411yescharacteristic
626Q8—44no—
627Q8—42no—
628Q8—42no—
629Q8—42no—
630Q8—42no—
631Q8—84no—
632D4—28no—
633D4—24no—
634D4—48no—
635D4—44no—
636D4—42no—
637D4—44no—
638D4—88no—
639D4—84no—
640D4—88no—
641D4—84no—
642D4—162no—
643D4—164no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—28no—
651C2×C4—22no—
652C2×C4—21no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—21no—
657C2×C4—22no—
658C2×C4—21no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—44no—
664C2×C4—48no—
665C2×C4—42no—
666C2×C4—44no—
667C2×C4—42no—
668C2×C4—44no—
669C2×C4—41no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—44no—
678C2×C4—42no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—42no—
683C2×C4—41no—
684C2×C4—44no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—44no—
690C2×C4—84no—
691C2×C4—84no—
692C2×C4—164no—
693C2×C4—164no—
694C2×C4#53412yes—
695C2×C4#53412yes—
696C2×C4C2×AGL(1,ℤ/8)12yes—
697C2×C4C2×AGL(1,ℤ/8)12yes—
698C2×C4C2×#13712yes—
699C2×C4#57612yes—
700C2×C4C2×H(5,𝔽2)12yes—
701C2×C4C2×H(5,𝔽2)12yes—
702C2×C4C2×2−1+411yescharacteristic
703C2×C4#58511yescharacteristic
704C8—24no—
705C8—42no—
706C8—44no—
707C22—22no—
708C22—24no—
709C22—22no—
710C22—24no—
711C22—22no—
712C22—24no—
713C22—41no—
714C22—42no—
715C22—42no—
716C22—41no—
717C22—42no—
718C22—41no—
719C22—42no—
720C22—41no—
721C22—42no—
722C22—42no—
723C22—42no—
724C22—81no—
725C22—81no—
726C22—81no—
727C22—81no—
728C22—82no—
729C22—82no—
730C22—82no—
731C22—82no—
732C22—82no—
733C22—82no—
734C22—82no—
735C22—1616no—
736C22C2×#53411yescharacteristic
737C22#348911yescharacteristic
738C22#349811yescharacteristic
739C22C22×AGL(1,ℤ/8)11yescharacteristic
740C22C22×#13711yescharacteristic
741C22C2×#57611yescharacteristic
742C22#358611yescharacteristic
743C4—22no—
744C4—22no—
745C4—22no—
746C4—42no—
747C4—42no—
748C4—41no—
749C4—42no—
750C4—81no—
751C4—82no—
752C4—81no—
753C4—84no—
754C4—81no—
755C4—82no—
756C4—82no—
757C4#319314yes—
758C4#353612yes—
759C4#354612yes—
760C2—42no—
761C2—44no—
762C2—82no—
763C2—162no—
764C2#4298811yescharacteristic
765C2C2×#319311yescharacteristic
766C2#6076211yescharacteristic
767C2#6210911yescharacteristic
768C2#6212711yescharacteristic
769C2#6242311yescharacteristic
770C2#6244811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36258C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C4×#41 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #35280C2semidirect
3. #32723C2semidirect
4. #31202C2semidirect
5. #31040C2semidirect
6. #30365C2semidirect
7. #29950C2semidirect
8. #29661C2semidirect
9. #28311C2semidirect
10. #28272C2semidirect
11. #27909C2semidirect
12. #27677C2semidirect
13. #25303C2semidirect
14. #25016C2semidirect
15. #24240C2semidirect
16. #23568C2semidirect
17. #22532C2semidirect
20. C2×#533C22semidirect
22. C2×#484C22semidirect
23. C2×#480C22semidirect
26. C2×#446C22semidirect
28. #2857C22semidirect
29. #2857C22semidirect
34. #2582C22semidirect
42. #2417C22semidirect
53. C2×#384C22semidirect
54. #2099C22semidirect
56. #2093C22semidirect
57. #2093C22semidirect
58. #2076C22semidirect
59. #2068C22semidirect
61. #2067C22semidirect
62. #2058C22semidirect
63. #2055C22semidirect
64. #2043C22semidirect
65. #2036C22semidirect
66. #2035C22semidirect
69. #2023C22semidirect
71. #2013C22semidirect
74. #2000C22semidirect
76. #1973C22semidirect
78. #1955C22semidirect
80. #1947C22semidirect
81. #1943C22semidirect
82. #1936C22semidirect
84. #1852C22semidirect
85. #1852C22semidirect
86. #1845C22semidirect
87. #1803C22semidirect
89. #1797C22semidirect
90. #1797C22semidirect
92. C4×#103C22semidirect
93. #1749C22semidirect
94. C4×C22⋊C8C22semidirect

Maximal subgroups

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

subgroupindex
#362582
#352802
#327232
#312022
#310402
#303652
#299502
#296612
#283112
#282722
#279092
#276772
#253032
#250162
#242402
#235682
#225322