Finite Group Databasebeta

← #6792327

Subgroups — #6792327

Order 512.

2157 conjugacy classes of subgroups.

The subgroup lattice has 799 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36100C211yesmaximal, characteristic
2C2×#2538C211yesmaximal, characteristic, complemented
3#32906C211yesmaximal, characteristic, complemented
4#31397C214yesmaximal, complemented
5#30409C214yesmaximal, complemented
6#29894C212yesmaximal, complemented
7#28141C212yesmaximal, complemented
8#27972C211yesmaximal, characteristic, complemented
9#27677C211yesmaximal, characteristic, complemented
10#25386C212yesmaximal, complemented
11#24970C212yesmaximal, complemented
12#24380C212yesmaximal, complemented
13#24241C212yesmaximal, complemented
14#23922C212yesmaximal, complemented
15D4×C22⋊C8C211yesmaximal, characteristic, complemented
16#21763C212yesmaximal, complemented
17C4×#448C211yesmaximal, characteristic, complemented
18C2×#547C2211yescharacteristic
19C2×#525C2212yes—
20C22×C22⋊Q8C2212yes—
21C22×C4×Q8C2211yescharacteristic
22C22×C4×D4C2211yescharacteristic
23C2×#467C2214yescomplemented
24C2×#462C2212yescomplemented
25C2×#452C2214yescomplemented
26C2×#451C2212yes—
27C2×#448C2211yescharacteristic
28C2×C4×SD16C2212yescomplemented
29C2×C8×D4C2212yes—
30C22×C22⋊C8C2212yes—
31#2857C2211yescharacteristic
32#2848C2212yes—
33#2542C2211yescharacteristic
34#2538—21no—
35#2538—21no—
36#2538—22no—
37#2538C2212yes—
38#2538C2212yes—
39#2538C2214yes—
40#2537C2211yescharacteristic
41#2455—22no—
42#2422—21no—
43#2418—22no—
44#2415C2212yes—
45#2408—21no—
46#2407C2212yes—
47C2×#396—22no—
48#2361—21no—
49#2354C2211yescharacteristic
50D4×C4⋊C4—21no—
51C4×#121C2211yescharacteristic
52C2×#390—21no—
53C2×#389—21no—
54C2×#384C2211yescharacteristic
55C2×#380C2212yes—
56#2099C2212yescomplemented
57#2093C2212yescomplemented
58#2077C2214yescomplemented
59#2075C2214yescomplemented
60#2072C2214yescomplemented
61#2036C2214yescomplemented
62#2036C2214yescomplemented
63#2035C2214yescomplemented
64#2001C2214yescomplemented
65#2001C2214yescomplemented
66#2000C2214yescomplemented
67#1956C2212yescomplemented
68#1954C2212yes—
69#1947C2212yescomplemented
70#1893C2214yescomplemented
71#1892C2214yescomplemented
72#1892C2214yescomplemented
73#1880C2212yescomplemented
74#1878C2214yescomplemented
75#1874C2211yescharacteristic
76#1874C2212yes—
77#1873C2214yescomplemented
78#1872C2212yes—
79#1872C2212yes—
80#1872C2212yes—
81#1869C2214yes—
82#1865C2212yescomplemented
83#1853C2211yescharacteristic
84#1852C2212yes—
85#1834C2212yescomplemented
86#1825C2214yescomplemented
87#1803C2212yescomplemented
88#1802C2212yescomplemented
89#1797C2211yescharacteristic
90#1788C2214yescomplemented
91#1787C2211yescharacteristic
92#1779C2212yes—
93C4×#103C2212yescomplemented
94C4×C22⋊C8C2211yescharacteristic
95C22×#41C2312yes—
96C23×Q8C2311yescharacteristic
97C23×D4D411yescharacteristic
98C24×C4C2312yes—
99C22×Q16C2314yes—
100C22×SD16C2312yes—
101C23×C8C2314yes—
102#547—44no—
103C2×C4⋊Q8C2311yescharacteristic
104#525—28no—
105#525—44no—
106C2×#123—22no—
107C2×#123—22no—
108C2×C22⋊Q8—22no—
109C2×C22⋊Q8—22no—
110C2×C22⋊Q8—48no—
111C2×C22⋊Q8C2312yes—
112C2×C22⋊Q8C2314yes—
113C2×C22⋊Q8C2312yes—
114C2×C22⋊Q8C2314yes—
115C2×C22⋊Q8C2312yes—
116C2×C22⋊Q8C2312yes—
117C2×#121—21no—
118C2×#121—21no—
119C2×#121C2312yes—
120C2×#121C2311yescharacteristic
121C2×#120—22no—
122C2×C4×Q8—21no—
123C2×C4×Q8—21no—
124C2×C4×Q8—44no—
125C2×C4×Q8C2312yes—
126C2×C4×Q8C2312yes—
127C2×C4×D4—21no—
128C2×C4×D4—22no—
129C2×C4×D4—22no—
130C2×C4×D4—44no—
131C2×C4×D4D411yescharacteristic
132C2×C4×D4D411yescharacteristic
133C2×C4×D4D412yes—
134C2×C4×D4C2311yescharacteristic
135C2×C4×D4C2311yescharacteristic
136C2×C4×D4C2311yescharacteristic
137C2×C4×D4C2312yes—
138C2×#117C2312yes—
139C22×C4⋊C4—21no—
140C22×C4⋊C4—22no—
141C22×C4⋊C4—21no—
142C22×C4⋊C4—21no—
143C22×C4⋊C4—21no—
144C22×C4⋊C4D411yescharacteristic
145C22×C4⋊C4C2312yes—
146C22×C4⋊C4C2311yescharacteristic
147C22×C22⋊C4—22no—
148C22×C22⋊C4—22no—
149C22×C22⋊C4D412yes—
150C22×C42—21no—
151C22×C42C2311yescharacteristic
152#467—48no—
153#462—44no—
154#452—48no—
155#451—44no—
156#448—24no—
157C4×SD16—44no—
158C8×D4—44no—
159C2×#107C2314yes—
160C2×#106C2312yes—
161C2×C4⋊C8C2312yes—
162C2×#103C2312yes—
163C2×#103C2312yes—
164C2×#103C2314yes—
165C2×#103C2314yes—
166C2×#103C2314yes—
167C2×#103C2312yes—
168C2×#103C2314yes—
169C2×#102C2314yes—
170C2×#102C2312yes—
171C2×C22⋊C8—44no—
172C2×C22⋊C8C2312yes—
173C2×C22⋊C8C2311yescharacteristic
174C2×C22⋊C8C2311yescharacteristic
175C2×C22⋊C8C2314yes—
176C2×C22⋊C8C2314yes—
177C2×C22⋊C8C2314yes—
178C2×C4×C8C2312yes—
179#399—22no—
180#397—22no—
181#396—24no—
182#396—24no—
183#396—24no—
184#396—24no—
185#394—22no—
186#394—22no—
187#394—22no—
188#392—22no—
189#391C2312yes—
190#390—21no—
191#390—21no—
192#390—22no—
193#390—24no—
194#390—22no—
195#390C2311yescharacteristic
196#389—22no—
197#389—22no—
198#389—22no—
199#389—24no—
200#389—21no—
201#389—21no—
202#389C2311yescharacteristic
203#388—22no—
204#388—22no—
205#388—21no—
206#386—21no—
207#386—22no—
208#385—22no—
209#385—22no—
210#385—22no—
211#385—22no—
212#384—21no—
213#384—21no—
214#384—21no—
215#384C2312yes—
216#384C2311yescharacteristic
217#384C2312yes—
218#380—21no—
219#380—21no—
220#380—22no—
221#380—22no—
222#380—21no—
223#380C2312yes—
224#380C2314yes—
225#380C2312yes—
226#380C2314yes—
227#380C2311yescharacteristic
228#379—22no—
229C4×C4⋊C4—21no—
230C4×C4⋊C4C2311yescharacteristic
231C4×C22⋊C4—21no—
232C2×#95—22no—
233#340C2314yes—
234#340C2314yes—
235#340C2314yes—
236#340C2314yes—
237#340C2312yes—
238#340C2312yes—
239#340C2314yes—
240#336C2312yes—
241#336C2312yes—
242C25C2×D412yes—
243C2×#41—24no—
244C2×#41—42no—
245C2×#41—44no—
246C2×#41—44no—
247C22×Q8—24no—
248C22×Q8—21no—
249C22×Q8—22no—
250C22×Q8—22no—
251C22×Q8—42no—
252C22×Q8C2412yes—
253C22×Q8C2412yes—
254C22×D4—21no—
255C22×D4—24no—
256C22×D4—22no—
257C22×D4—22no—
258C22×D4—24no—
259C22×D4—42no—
260C22×D4C2×D411yescharacteristic
261C22×D4C2×D412yes—
262C22×D4C2×D411yescharacteristic
263C22×D4C2411yescharacteristic
264C23×C4—21no—
265C23×C4—24no—
266C23×C4—24no—
267C23×C4—22no—
268C23×C4—21no—
269C23×C4—21no—
270C23×C4—22no—
271C23×C4—44no—
272C23×C4—44no—
273C23×C4C2×D411yescharacteristic
274C23×C4C2×D411yescharacteristic
275C23×C4C2×D412yes—
276C23×C4C2×D412yes—
277C23×C4C2×D412yes—
278C23×C4C2412yes—
279C23×C4C2412yes—
280C23×C4C2411yescharacteristic
281C2×Q16—28no—
282C2×Q16—44no—
283C2×Q16—44no—
284C2×SD16—24no—
285C2×SD16—24no—
286C2×SD16—42no—
287C22×C8—44no—
288C22×C8—44no—
289C22×C8—44no—
290C22×C8C2412yes—
291C22×C8C2414yes—
292C22×C8C2412yes—
293C4⋊Q8—24no—
294#123—48no—
295#123—48no—
296C22⋊Q8—28no—
297C22⋊Q8—28no—
298C22⋊Q8—24no—
299C22⋊Q8—24no—
300C22⋊Q8—24no—
301C22⋊Q8—44no—
302C22⋊Q8—44no—
303C22⋊Q8—42no—
304C22⋊Q8—44no—
305C22⋊Q8—48no—
306C22⋊Q8—48no—
307C22⋊Q8—44no—
308#121—22no—
309#121—24no—
310#121—42no—
311#121—44no—
312#121—44no—
313#121#4114yes—
314#120—48no—
315C4×Q8—24no—
316C4×Q8—24no—
317C4×Q8—42no—
318C4×Q8—42no—
319C4×Q8—44no—
320C4×Q8—44no—
321C4×D4—24no—
322C4×D4—24no—
323C4×D4—24no—
324C4×D4—44no—
325C4×D4—42no—
326C4×D4—42no—
327C4×D4—44no—
328C4×D4—48no—
329C4×D4—48no—
330C4×D4—44no—
331#117—24no—
332#117—42no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—22no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—24no—
337C2×C4⋊C4—24no—
338C2×C4⋊C4—22no—
339C2×C4⋊C4—22no—
340C2×C4⋊C4—22no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—22no—
343C2×C4⋊C4—22no—
344C2×C4⋊C4—22no—
345C2×C4⋊C4—21no—
346C2×C4⋊C4—21no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—22no—
349C2×C4⋊C4—22no—
350C2×C4⋊C4—22no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—42no—
353C2×C4⋊C4—42no—
354C2×C4⋊C4—44no—
355C2×C4⋊C4—44no—
356C2×C4⋊C4—44no—
357C2×C4⋊C4—48no—
358C2×C4⋊C4—44no—
359C2×C4⋊C4—82no—
360C2×C4⋊C4C2×D411yescharacteristic
361C2×C4⋊C4C2×D411yescharacteristic
362C2×C4⋊C4C2×D412yes—
363C2×C4⋊C4C2412yes—
364C2×C4⋊C4C2414yes—
365C2×C4⋊C4C2412yes—
366C2×C4⋊C4C2411yescharacteristic
367C2×C4⋊C4C2411yescharacteristic
368C2×C4⋊C4C2411yescharacteristic
369C2×C22⋊C4—21no—
370C2×C22⋊C4—24no—
371C2×C22⋊C4—24no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—22no—
374C2×C22⋊C4—22no—
375C2×C22⋊C4—21no—
376C2×C22⋊C4—22no—
377C2×C22⋊C4—22no—
378C2×C22⋊C4—22no—
379C2×C22⋊C4—21no—
380C2×C22⋊C4—21no—
381C2×C22⋊C4—24no—
382C2×C22⋊C4—24no—
383C2×C22⋊C4—22no—
384C2×C22⋊C4—22no—
385C2×C22⋊C4—21no—
386C2×C22⋊C4—44no—
387C2×C22⋊C4—48no—
388C2×C22⋊C4—84no—
389C2×C22⋊C4C2×D412yes—
390C2×C22⋊C4C2×D412yes—
391C2×C22⋊C4C2×D412yes—
392C2×C22⋊C4C2×D412yes—
393C2×C42—24no—
394C2×C42—22no—
395C2×C42—21no—
396C2×C42—22no—
397C2×C42—22no—
398C2×C42—44no—
399C2×C42C2×D411yescharacteristic
400C2×C42C2×D411yescharacteristic
401C2×C42C2411yescharacteristic
402C2×C42C2411yescharacteristic
403#107—44no—
404#106—42no—
405C4⋊C8—24no—
406#103—24no—
407#103—24no—
408#103—42no—
409#103—44no—
410#103—44no—
411#103—44no—
412#103—44no—
413#102—42no—
414#102—44no—
415C22⋊C8—22no—
416C22⋊C8—22no—
417C22⋊C8—24no—
418C22⋊C8—44no—
419C22⋊C8—44no—
420C22⋊C8—44no—
421C4×C8—24no—
422#95—24no—
423#95—24no—
424#95—21no—
425#95—21no—
426#95—22no—
427#95—21no—
428#95—22no—
429#95—22no—
430#95—22no—
431C24—24no—
432C24—21no—
433C24—24no—
434C24—24no—
435C24—24no—
436C24—42no—
437C24—42no—
438C24—42no—
439C24C22×D412yes—
440C24C22×D412yes—
441C24C22×D411yescharacteristic
442#41—88no—
443#41—88no—
444C2×Q8—24no—
445C2×Q8—22no—
446C2×Q8—22no—
447C2×Q8—22no—
448C2×Q8—22no—
449C2×Q8—22no—
450C2×Q8—22no—
451C2×Q8—24no—
452C2×Q8—24no—
453C2×Q8—22no—
454C2×Q8—48no—
455C2×Q8—48no—
456C2×Q8—42no—
457C2×Q8—42no—
458C2×Q8H(5,𝔽2)14yes—
459C2×D4—24no—
460C2×D4—24no—
461C2×D4—22no—
462C2×D4—22no—
463C2×D4—22no—
464C2×D4—24no—
465C2×D4—22no—
466C2×D4—22no—
467C2×D4—22no—
468C2×D4—22no—
469C2×D4—21no—
470C2×D4—416no—
471C2×D4—42no—
472C2×D4—42no—
473C2×D4—42no—
474C2×D4—44no—
475C2×D4—44no—
476C2×D4—44no—
477C2×D4—44no—
478C2×D4—82no—
479C2×D4—82no—
480C2×D4#13714yes—
481C2×D4C2×#4112yes—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—24no—
487C22×C4—22no—
488C22×C4—21no—
489C22×C4—22no—
490C22×C4—24no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—24no—
498C22×C4—22no—
499C22×C4—24no—
500C22×C4—24no—
501C22×C4—24no—
502C22×C4—22no—
503C22×C4—21no—
504C22×C4—22no—
505C22×C4—21no—
506C22×C4—24no—
507C22×C4—22no—
508C22×C4—41no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—44no—
516C22×C4—44no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—44no—
521C22×C4—42no—
522C22×C4—44no—
523C22×C4—44no—
524C22×C4—42no—
525C22×C4—42no—
526C22×C4—42no—
527C22×C4—42no—
528C22×C4—88no—
529C22×C4—88no—
530C22×C4—82no—
531C22×C4#13514yes—
532C22×C4C22×D412yes—
533C22×C4C22×D411yescharacteristic
534C22×C4C22×D412yes—
535C22×C4C22×D411yescharacteristic
536C22×C4C22×D411yescharacteristic
537C22×C4C22×D411yescharacteristic
538C22×C4C22×D411yescharacteristic
539C22×C4C2×#4112yes—
540C22×C4H(5,𝔽2)12yes—
541C22×C4C2511yescharacteristic
542Q16—88no—
543SD16—48no—
544C2×C8—22no—
545C2×C8—22no—
546C2×C8—22no—
547C2×C8—22no—
548C2×C8—24no—
549C2×C8—22no—
550C2×C8—24no—
551C2×C8—24no—
552C2×C8—22no—
553C2×C8—88no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—21no—
557C4⋊C4—22no—
558C4⋊C4—24no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—24no—
565C4⋊C4—42no—
566C4⋊C4—48no—
567C4⋊C4—48no—
568C4⋊C4—44no—
569C4⋊C4—42no—
570C4⋊C4—44no—
571C4⋊C4—44no—
572C4⋊C4—44no—
573C4⋊C4—44no—
574C4⋊C4—42no—
575C4⋊C4—42no—
576C4⋊C4—44no—
577C4⋊C4—44no—
578C4⋊C4—44no—
579C4⋊C4—42no—
580C4⋊C4—42no—
581C4⋊C4—81no—
582C4⋊C4—82no—
583C4⋊C4—82no—
584C4⋊C4—82no—
585C4⋊C4C2×#4112yes—
586C22⋊C4—24no—
587C22⋊C4—24no—
588C22⋊C4—24no—
589C22⋊C4—42no—
590C22⋊C4—42no—
591C22⋊C4—48no—
592C22⋊C4—48no—
593C22⋊C4—44no—
594C22⋊C4—44no—
595C22⋊C4—44no—
596C22⋊C4—44no—
597C22⋊C4—44no—
598C22⋊C4—42no—
599C22⋊C4—44no—
600C22⋊C4—42no—
601C22⋊C4—42no—
602C22⋊C4—81no—
603C22⋊C4—82no—
604C22⋊C4—84no—
605C22⋊C4—84no—
606C22⋊C4—82no—
607C42—22no—
608C42—22no—
609C42—22no—
610C42—44no—
611C42—44no—
612C42—44no—
613C42—42no—
614C42H(5,𝔽2)14yes—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—21no—
619C23—22no—
620C23—22no—
621C23—22no—
622C23—22no—
623C23—22no—
624C23—22no—
625C23—22no—
626C23—22no—
627C23—22no—
628C23—22no—
629C23—22no—
630C23—22no—
631C23—22no—
632C23—22no—
633C23—48no—
634C23—48no—
635C23—48no—
636C23—41no—
637C23—41no—
638C23—41no—
639C23—48no—
640C23—41no—
641C23—41no—
642C23—41no—
643C23—84no—
644C23—84no—
645C23—84no—
646C23#54612yes—
647C23C2×#13512yes—
648C23C2×#13714yes—
649C23#57812yes—
650C23C23×D411yescharacteristic
651Q8—24no—
652Q8—24no—
653Q8—48no—
654Q8—42no—
655Q8—42no—
656Q8—44no—
657Q8—44no—
658D4—28no—
659D4—24no—
660D4—48no—
661D4—48no—
662D4—44no—
663D4—42no—
664D4—88no—
665D4—88no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—28no—
673C2×C4—24no—
674C2×C4—24no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—24no—
683C2×C4—22no—
684C2×C4—22no—
685C2×C4—21no—
686C2×C4—44no—
687C2×C4—48no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—41no—
691C2×C4—41no—
692C2×C4—44no—
693C2×C4—44no—
694C2×C4—44no—
695C2×C4—44no—
696C2×C4—42no—
697C2×C4—41no—
698C2×C4—44no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—41no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—44no—
706C2×C4—41no—
707C2×C4—42no—
708C2×C4—41no—
709C2×C4—41no—
710C2×C4—44no—
711C2×C4—41no—
712C2×C4—42no—
713C2×C4—42no—
714C2×C4—84no—
715C2×C4—84no—
716C2×C4—84no—
717C2×C4—88no—
718C2×C4—84no—
719C2×C4—88no—
720C2×C4—84no—
721C2×C4#53412yes—
722C2×C4#53412yes—
723C2×C4#54612yes—
724C2×C4C2×#13512yes—
725C2×C4C2×#13512yes—
726C2×C4C2×#13712yes—
727C2×C4C22×#4111yescharacteristic
728C2×C4C2×H(5,𝔽2)12yes—
729C2×C4C2×H(5,𝔽2)12yes—
730C2×C4C2×H(5,𝔽2)11yescharacteristic
731C8—42no—
732C8—42no—
733C8—44no—
734C22—22no—
735C22—22no—
736C22—22no—
737C22—22no—
738C22—22no—
739C22—22no—
740C22—24no—
741C22—24no—
742C22—24no—
743C22—42no—
744C22—42no—
745C22—42no—
746C22—42no—
747C22—42no—
748C22—42no—
749C22—42no—
750C22—42no—
751C22—42no—
752C22—42no—
753C22—42no—
754C22—42no—
755C22—42no—
756C22—42no—
757C22—816no—
758C22—81no—
759C22—81no—
760C22—81no—
761C22—81no—
762C22#330214yes—
763C22C2×#53411yescharacteristic
764C22C2×#54611yescharacteristic
765C22#348411yescharacteristic
766C22C22×#13511yescharacteristic
767C22C22×#13711yescharacteristic
768C22C2×#57811yescharacteristic
769C22#358511yescharacteristic
770C4—22no—
771C4—22no—
772C4—22no—
773C4—41no—
774C4—42no—
775C4—42no—
776C4—42no—
777C4—44no—
778C4—81no—
779C4—82no—
780C4—81no—
781C4—84no—
782C4—82no—
783C4—82no—
784C4#319014yes—
785C4#351912yes—
786C4#353712yes—
787C2—24no—
788C2—44no—
789C2—82no—
790C2—82no—
791C2#3890411yescharacteristic
792C2C2×#319011yescharacteristic
793C2#6076411yescharacteristic
794C2C2×#330211yescharacteristic
795C2#6116211yescharacteristic
796C2#6156611yescharacteristic
797C2#6160211yescharacteristic
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×#2538C2semidirect
3. #32906C2semidirect
4. #31397C2semidirect
5. #30409C2semidirect
6. #29894C2semidirect
7. #28141C2semidirect
8. #27972C2semidirect
9. #27677C2semidirect
10. #25386C2semidirect
11. #24970C2semidirect
12. #24380C2semidirect
13. #24241C2semidirect
14. #23922C2semidirect
15. D4×C22⋊C8C2semidirect
16. #21763C2semidirect
17. C4×#448C2semidirect
23. C2×#467C22semidirect
24. C2×#462C22semidirect
25. C2×#452C22semidirect
28. C2×C4×SD16C22semidirect
56. #2099C22semidirect
57. #2093C22semidirect
58. #2077C22semidirect
59. #2075C22semidirect
60. #2072C22semidirect
61. #2036C22semidirect
62. #2036C22semidirect
63. #2035C22semidirect
64. #2001C22semidirect
65. #2001C22semidirect
66. #2000C22semidirect
67. #1956C22semidirect
69. #1947C22semidirect
70. #1893C22semidirect
71. #1892C22semidirect
72. #1892C22semidirect
73. #1880C22semidirect
74. #1878C22semidirect
77. #1873C22semidirect
82. #1865C22semidirect
85. #1834C22semidirect
86. #1825C22semidirect
87. #1803C22semidirect
88. #1802C22semidirect
90. #1788C22semidirect
93. C4×#103C22semidirect

Maximal subgroups

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

subgroupindex
#361002
C2×#25382
#329062
#313972
#304092
#298942
#281412
#279722
#276772
#253862
#249702
#243802
#242412
#239222
D4×C22⋊C82
#217632
C4×#4482