Finite Group Databasebeta

← #6461377

Subgroups — #6461377

Order 512.

2496 conjugacy classes of subgroups.

The subgroup lattice has 819 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#35253C211yesmaximal, characteristic, complemented
2C2×#2311C211yesmaximal, characteristic
3#29120C214yesmaximal, complemented
4#29119C214yesmaximal, complemented
5#29112C212yesmaximal, complemented
6#29109C212yesmaximal, complemented
7#29105C212yesmaximal, complemented
8#29104C212yesmaximal, complemented
9#23634C212yesmaximal, complemented
10#23458C212yesmaximal, complemented
11#21092C212yesmaximal, complemented
12#21087C212yesmaximal, complemented
13#20700C211yesmaximal, characteristic, complemented
14C2×#1824C211yesmaximal, characteristic, complemented
15#20601C211yesmaximal, characteristic
16#20597C211yesmaximal, characteristic
17#20379C211yesmaximal, characteristic, complemented
18C23×#41C2211yescharacteristic
19C2×#544C2211yescharacteristic, complemented
20C22×#117C2211yescharacteristic
21C23×C4⋊C4C2211yescharacteristic
22C2×#417C2212yes—
23C2×#417C2212yes—
24C2×#416C2212yes—
25C2×#416C2212yes—
26C2×#407C2211yescharacteristic
27C22×C22⋊C8C2211yescharacteristic
28C2×#405C2212yescomplemented
29#2857C2212yes—
30#2851C2212yes—
31#2629C2212yescomplemented
32#2628C2212yescomplemented
33#2442—21no—
34#2441—21no—
35#2440—21no—
36#2439—21no—
37#2438—22no—
38#2437—22no—
39#2317C2211yescharacteristic, complemented
40#2317C2211yescharacteristic, complemented
41#2316C2211yescharacteristic, complemented
42#2311—22no—
43#2311—21no—
44#2311—21no—
45#2311C2212yes—
46#2311C2212yes—
47#2311C2214yes—
48C2×#391C2212yes—
49C2×#390C2212yes—
50C2×#386—22no—
51#2280C2211yescharacteristic
52C2×#380—21no—
53C2×#380—21no—
54C2×#380C2211yescharacteristic
55#2074C2214yescomplemented
56#2073C2214yescomplemented
57#2072C2214yescomplemented
58#2071C2214yescomplemented
59#2026C2214yescomplemented
60#2025C2214yescomplemented
61#2024C2214yescomplemented
62#2023C2214yescomplemented
63#1936C2214yescomplemented
64#1936C2214yescomplemented
65#1935C2214yescomplemented
66#1935C2214yescomplemented
67#1934C2214yescomplemented
68#1934C2214yescomplemented
69#1933C2214yescomplemented
70#1933C2214yescomplemented
71#1824C2212yes—
72#1824C2212yes—
73#1824C2212yes—
74#1824C2212yes—
75#1824C2214yescomplemented
76#1823C2212yescomplemented
77#1823C2212yescomplemented
78#1788C2212yes—
79#1788C2212yes—
80#1788C2214yes—
81#1787C2211yescharacteristic
82#1787C2211yescharacteristic
83#1787C2212yes—
84#1786C2211yescharacteristic
85#1786C2211yescharacteristic
86#1786C2212yes—
87#1750C2214yescomplemented
88#1749C2212yes—
89C4×C22⋊C8C2212yes—
90#1736C2212yescomplemented
91#1736C2212yescomplemented
92C2×#340C2212yescomplemented
93C2×#340C2212yescomplemented
94#1729C2212yescomplemented
95C22×#41—28no—
96C22×#41—21no—
97C22×#41—21no—
98C22×#41—24no—
99C22×#41—24no—
100C22×#41—44no—
101C22×#41C2312yes—
102C22×#41C2312yes—
103C23×Q8C2311yescharacteristic
104C23×D4—21no—
105C23×D4C2311yescharacteristic
106C24×C4—21no—
107C24×C4—21no—
108C24×C4C2311yescharacteristic
109C22×M16C2312yes—
110C23×C8C2312yes—
111#544—44no—
112C2×C4⋊Q8—21no—
113C2×C4⋊Q8C2312yes—
114C2×#125—21no—
115C2×#125C2312yes—
116C2×C22⋊Q8—22no—
117C2×C22⋊Q8—22no—
118C2×#117—44no—
119C2×#117D412yes—
120C2×#117D411yescharacteristic
121C2×#117D411yescharacteristic
122C2×#117C2311yescharacteristic
123C2×#117C2311yescharacteristic
124C2×#117C2311yescharacteristic
125C2×#117C2311yescharacteristic
126C2×#117C2312yes—
127C22×C4⋊C4—24no—
128C22×C4⋊C4—24no—
129C22×C4⋊C4—21no—
130C22×C4⋊C4—21no—
131C22×C4⋊C4—21no—
132C22×C4⋊C4D411yescharacteristic
133C22×C4⋊C4D411yescharacteristic
134C22×C4⋊C4C2312yes—
135C22×C4⋊C4C2312yes—
136C22×C4⋊C4C2311yescharacteristic
137C22×C4⋊C4C2311yescharacteristic
138C22×C4⋊C4C2312yes—
139C22×C22⋊C4—21no—
140C22×C22⋊C4—22no—
141C22×C22⋊C4—22no—
142C22×C22⋊C4D412yes—
143C22×C42C2312yes—
144#417—28no—
145#417—44no—
146#416—28no—
147#416—44no—
148C2×#103C2312yes—
149C2×#103C2314yes—
150C2×#103C2312yes—
151C2×#103C2312yes—
152C2×#103C2312yes—
153C2×#103C2314yes—
154C2×#102C2312yes—
155C2×#102C2314yes—
156C2×#102C2312yes—
157C2×#102C2312yes—
158C2×#102C2312yes—
159C2×#102C2314yes—
160#407—24no—
161C2×C22⋊C8—24no—
162C2×C22⋊C8C2312yes—
163C2×C22⋊C8C2311yescharacteristic
164C2×C22⋊C8C2311yescharacteristic
165C2×C22⋊C8C2312yes—
166C2×C22⋊C8C2312yes—
167#405—44no—
168C2×#97C2314yes—
169C2×C4×C8C2314yes—
170#400—22no—
171#399—22no—
172#398—22no—
173#398—22no—
174#396—22no—
175#396—22no—
176#395—22no—
177#393—22no—
178#391—22no—
179#391—22no—
180#391—22no—
181#391C2314yes—
182#391C2314yes—
183#390—22no—
184#390—22no—
185#390C2314yes—
186#390C2314yes—
187#389—21no—
188#389—21no—
189#389—21no—
190#389—21no—
191#389—22no—
192#389C2312yes—
193#389C2312yes—
194#389C2312yes—
195#389C2312yes—
196#387—22no—
197#387—22no—
198#386—24no—
199#386—24no—
200#386—24no—
201#386—24no—
202#385—22no—
203#385—22no—
204#385—22no—
205#385—22no—
206#384—21no—
207#384C2312yes—
208#382—21no—
209#382C2312yes—
210#381—21no—
211#380—22no—
212#380—21no—
213#380—21no—
214#380—22no—
215#380—22no—
216#380—22no—
217#380—22no—
218#380—24no—
219#380—24no—
220#380—22no—
221#380C2311yescharacteristic
222#380C2311yescharacteristic
223#380C2311yescharacteristic
224#380C2312yes—
225#380C2311yescharacteristic
226#380C2312yes—
227#379—21no—
228C4×C22⋊C4—21no—
229C4×C22⋊C4—21no—
230C2×#95—21no—
231C2×#95—22no—
232C2×#95—22no—
233#340C2314yes—
234#340C2314yes—
235#340C2314yes—
236#340C2314yes—
237#340C2314yes—
238#340C2314yes—
239#340C2314yes—
240#340C2314yes—
241#336C2314yes—
242#336C2314yes—
243C25—21no—
244C25C2×D411yescharacteristic
245C2×#41—28no—
246C2×#41—28no—
247C2×#41—24no—
248C2×#41—24no—
249C2×#41—24no—
250C2×#41—24no—
251C2×#41—24no—
252C2×#41—24no—
253C2×#41—24no—
254C2×#41—24no—
255C2×#41—24no—
256C2×#41—42no—
257C2×#41—42no—
258C2×#41—432no—
259C2×#41—432no—
260C2×#41—44no—
261C2×#41—44no—
262C2×#41—44no—
263C2×#41—44no—
264C2×#41#4118yes—
265C22×Q8—24no—
266C22×Q8—21no—
267C22×Q8—22no—
268C22×Q8—22no—
269C22×Q8—22no—
270C22×Q8—42no—
271C22×Q8C2412yes—
272C22×D4—28no—
273C22×D4—22no—
274C22×D4—22no—
275C22×D4—24no—
276C22×D4—21no—
277C22×D4—22no—
278C22×D4—22no—
279C22×D4—42no—
280C22×D4—44no—
281C22×D4—44no—
282C22×D4C2412yes—
283C23×C4—24no—
284C23×C4—24no—
285C23×C4—28no—
286C23×C4—21no—
287C23×C4—22no—
288C23×C4—22no—
289C23×C4—22no—
290C23×C4—21no—
291C23×C4—21no—
292C23×C4—22no—
293C23×C4—22no—
294C23×C4—44no—
295C23×C4—44no—
296C23×C4—44no—
297C23×C4—82no—
298C23×C4—82no—
299C23×C4C2×D411yescharacteristic
300C23×C4C2×D411yescharacteristic
301C23×C4C2×D411yescharacteristic
302C23×C4C2×D412yes—
303C23×C4C2×D412yes—
304C23×C4#4114yes—
305C23×C4#4114yes—
306C23×C4C2411yescharacteristic
307C23×C4C2411yescharacteristic
308C23×C4C2411yescharacteristic
309C2×M16—24no—
310C2×M16—24no—
311C2×M16—24no—
312C22×C8—24no—
313C22×C8—24no—
314C22×C8—24no—
315C22×C8C2412yes—
316C22×C8C2412yes—
317C22×C8C2414yes—
318C4⋊Q8—44no—
319C4⋊Q8—44no—
320#125—44no—
321#125—44no—
322C22⋊Q8—48no—
323C22⋊Q8—84no—
324#117—24no—
325#117—24no—
326#117—24no—
327#117—24no—
328#117—44no—
329#117—44no—
330#117—42no—
331#117—42no—
332C2×C4⋊C4—24no—
333C2×C4⋊C4—24no—
334C2×C4⋊C4—24no—
335C2×C4⋊C4—24no—
336C2×C4⋊C4—24no—
337C2×C4⋊C4—24no—
338C2×C4⋊C4—24no—
339C2×C4⋊C4—24no—
340C2×C4⋊C4—22no—
341C2×C4⋊C4—22no—
342C2×C4⋊C4—22no—
343C2×C4⋊C4—21no—
344C2×C4⋊C4—21no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—22no—
348C2×C4⋊C4—22no—
349C2×C4⋊C4—22no—
350C2×C4⋊C4—22no—
351C2×C4⋊C4—22no—
352C2×C4⋊C4—22no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4—42no—
355C2×C4⋊C4—42no—
356C2×C4⋊C4—44no—
357C2×C4⋊C4—44no—
358C2×C4⋊C4—44no—
359C2×C4⋊C4C2×D411yescharacteristic
360C2×C4⋊C4C2×D411yescharacteristic
361C2×C4⋊C4C2×D411yescharacteristic
362C2×C4⋊C4C2×D411yescharacteristic
363C2×C4⋊C4C2×D412yes—
364C2×C4⋊C4C2×D412yes—
365C2×C4⋊C4C2414yes—
366C2×C4⋊C4C2412yes—
367C2×C4⋊C4C2412yes—
368C2×C4⋊C4C2411yescharacteristic
369C2×C4⋊C4C2411yescharacteristic
370C2×C4⋊C4C2411yescharacteristic
371C2×C4⋊C4C2411yescharacteristic
372C2×C22⋊C4—22no—
373C2×C22⋊C4—21no—
374C2×C22⋊C4—21no—
375C2×C22⋊C4—21no—
376C2×C22⋊C4—21no—
377C2×C22⋊C4—22no—
378C2×C22⋊C4—21no—
379C2×C22⋊C4—21no—
380C2×C22⋊C4—24no—
381C2×C22⋊C4—24no—
382C2×C22⋊C4—24no—
383C2×C22⋊C4—24no—
384C2×C22⋊C4—44no—
385C2×C22⋊C4—82no—
386C2×C22⋊C4—84no—
387C2×C22⋊C4—84no—
388C2×C22⋊C4C2×D412yes—
389C2×C22⋊C4C2×D412yes—
390C2×C22⋊C4C2×D412yes—
391C2×C22⋊C4C2×D412yes—
392C2×C42—21no—
393C2×C42—21no—
394C2×C42—44no—
395C2×C42C2×D412yes—
396C2×C42C2×D412yes—
397C2×C42C2412yes—
398C2×C42C2412yes—
399#103—24no—
400#103—24no—
401#103—28no—
402#103—42no—
403#103—42no—
404#103—44no—
405#102—24no—
406#102—24no—
407#102—28no—
408#102—42no—
409#102—42no—
410#102—44no—
411C22⋊C8—22no—
412C22⋊C8—22no—
413C22⋊C8—24no—
414C22⋊C8—24no—
415C22⋊C8—24no—
416#97—44no—
417C4×C8—44no—
418#95—24no—
419#95—24no—
420#95—24no—
421#95—24no—
422#95—22no—
423#95—22no—
424#95—21no—
425#95—21no—
426#95—21no—
427#95—21no—
428#95—22no—
429#95—22no—
430#95—22no—
431#95—22no—
432#95—22no—
433#95—22no—
434C24—22no—
435C24—22no—
436C24—22no—
437C24—22no—
438C24—24no—
439C24—22no—
440C24—41no—
441C24—41no—
442C24—42no—
443C24—42no—
444C24—42no—
445C24—42no—
446C24—42no—
447C24—42no—
448C24#12414yes—
449C24C22×D411yescharacteristic
450C24C22×D411yescharacteristic
451C24C22×D411yescharacteristic
452#41—216no—
453#41—216no—
454#41—48no—
455#41—48no—
456#41—48no—
457#41—48no—
458#41—432no—
459#41—432no—
460#41—48no—
461#41—48no—
462C2×Q8—24no—
463C2×Q8—22no—
464C2×Q8—22no—
465C2×Q8—22no—
466C2×Q8—22no—
467C2×Q8—22no—
468C2×Q8—48no—
469C2×Q8—48no—
470C2×Q8—42no—
471C2×Q8—44no—
472C2×Q8—42no—
473C2×Q8—82no—
474C2×Q8—82no—
475C2×Q8C2×#4114yes—
476C2×D4—24no—
477C2×D4—28no—
478C2×D4—28no—
479C2×D4—22no—
480C2×D4—22no—
481C2×D4—22no—
482C2×D4—22no—
483C2×D4—22no—
484C2×D4—48no—
485C2×D4—48no—
486C2×D4—42no—
487C2×D4—432no—
488C2×D4—44no—
489C2×D4—44no—
490C2×D4—44no—
491C2×D4—44no—
492C2×D4—42no—
493C2×D4C2×#4114yes—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—216no—
501C22×C4—216no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—24no—
507C22×C4—28no—
508C22×C4—22no—
509C22×C4—24no—
510C22×C4—24no—
511C22×C4—28no—
512C22×C4—21no—
513C22×C4—22no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—24no—
518C22×C4—22no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—44no—
524C22×C4—432no—
525C22×C4—42no—
526C22×C4—42no—
527C22×C4—44no—
528C22×C4—44no—
529C22×C4—44no—
530C22×C4—44no—
531C22×C4—44no—
532C22×C4—44no—
533C22×C4—44no—
534C22×C4—44no—
535C22×C4—42no—
536C22×C4—42no—
537C22×C4—82no—
538C22×C4—82no—
539C22×C4—82no—
540C22×C4—82no—
541C22×C4—81no—
542C22×C4—81no—
543C22×C4—81no—
544C22×C4—81no—
545C22×C4—816no—
546C22×C4#12414yes—
547C22×C4#12414yes—
548C22×C4#12414yes—
549C22×C4C22×D412yes—
550C22×C4C22×D412yes—
551C22×C4C22×D412yes—
552C22×C4C22×D412yes—
553C22×C4C22×D411yescharacteristic
554C22×C4C22×D411yescharacteristic
555C22×C4C22×D411yescharacteristic
556C22×C4C2×#4112yes—
557C22×C4C2×#4112yes—
558C22×C4C2×#4112yes—
559C22×C4C2×#4112yes—
560C22×C4C2×#4114yes—
561C22×C4C2×#4112yes—
562C22×C4C2×#4112yes—
563C22×C4H(5,𝔽2)14yes—
564C22×C4C2511yescharacteristic
565M16—48no—
566C2×C8—22no—
567C2×C8—22no—
568C2×C8—24no—
569C2×C8—22no—
570C2×C8—22no—
571C2×C8—24no—
572C2×C8—22no—
573C2×C8—24no—
574C2×C8—22no—
575C2×C8—48no—
576C4⋊C4—22no—
577C4⋊C4—22no—
578C4⋊C4—22no—
579C4⋊C4—22no—
580C4⋊C4—24no—
581C4⋊C4—22no—
582C4⋊C4—22no—
583C4⋊C4—24no—
584C4⋊C4—24no—
585C4⋊C4—24no—
586C4⋊C4—22no—
587C4⋊C4—22no—
588C4⋊C4—42no—
589C4⋊C4—42no—
590C4⋊C4—44no—
591C4⋊C4—44no—
592C4⋊C4—44no—
593C4⋊C4—42no—
594C4⋊C4—44no—
595C4⋊C4—44no—
596C4⋊C4—44no—
597C4⋊C4—42no—
598C4⋊C4—82no—
599C4⋊C4—82no—
600C4⋊C4—82no—
601C4⋊C4—82no—
602C4⋊C4—82no—
603C4⋊C4—82no—
604C22⋊C4—24no—
605C22⋊C4—24no—
606C22⋊C4—42no—
607C22⋊C4—42no—
608C22⋊C4—42no—
609C22⋊C4—42no—
610C22⋊C4—44no—
611C22⋊C4—42no—
612C22⋊C4—42no—
613C22⋊C4—84no—
614C22⋊C4—84no—
615C22⋊C4—84no—
616C22⋊C4—84no—
617C22⋊C4—81no—
618C22⋊C4—81no—
619C22⋊C4—82no—
620C42—24no—
621C42—24no—
622C42—42no—
623C42—42no—
624C42—42no—
625C42—42no—
626C23—21no—
627C23—21no—
628C23—21no—
629C23—21no—
630C23—21no—
631C23—21no—
632C23—21no—
633C23—21no—
634C23—28no—
635C23—21no—
636C23—21no—
637C23—28no—
638C23—21no—
639C23—21no—
640C23—21no—
641C23—21no—
642C23—24no—
643C23—44no—
644C23—44no—
645C23—44no—
646C23—44no—
647C23—44no—
648C23—48no—
649C23—48no—
650C23—48no—
651C23—42no—
652C23—42no—
653C23—42no—
654C23—42no—
655C23—42no—
656C23—42no—
657C23—84no—
658C23—84no—
659C23—84no—
660C23—84no—
661C23#52512yes—
662C23C2×#12412yes—
663C23C2×#12412yes—
664C23C2×#12412yes—
665C23#53412yes—
666C23#57712yes—
667C23#57812yes—
668C23C23×D411yescharacteristic
669Q8—24no—
670Q8—24no—
671Q8—48no—
672Q8—42no—
673Q8—42no—
674Q8—164no—
675D4—24no—
676D4—24no—
677D4—48no—
678D4—416no—
679D4—416no—
680D4—42no—
681D4—42no—
682C2×C4—28no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—28no—
688C2×C4—28no—
689C2×C4—24no—
690C2×C4—24no—
691C2×C4—24no—
692C2×C4—24no—
693C2×C4—22no—
694C2×C4—22no—
695C2×C4—22no—
696C2×C4—22no—
697C2×C4—24no—
698C2×C4—22no—
699C2×C4—22no—
700C2×C4—22no—
701C2×C4—22no—
702C2×C4—22no—
703C2×C4—22no—
704C2×C4—22no—
705C2×C4—22no—
706C2×C4—416no—
707C2×C4—48no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—416no—
711C2×C4—44no—
712C2×C4—44no—
713C2×C4—41no—
714C2×C4—41no—
715C2×C4—41no—
716C2×C4—41no—
717C2×C4—42no—
718C2×C4—42no—
719C2×C4—41no—
720C2×C4—41no—
721C2×C4—42no—
722C2×C4—44no—
723C2×C4—41no—
724C2×C4—41no—
725C2×C4—42no—
726C2×C4—42no—
727C2×C4—42no—
728C2×C4—41no—
729C2×C4—41no—
730C2×C4—41no—
731C2×C4—41no—
732C2×C4—84no—
733C2×C4—84no—
734C2×C4—88no—
735C2×C4—88no—
736C2×C4—88no—
737C2×C4—162no—
738C2×C4—162no—
739C2×C4#52512yes—
740C2×C4C2×#12412yes—
741C2×C4C2×#12412yes—
742C2×C4C2×#12412yes—
743C2×C4#53412yes—
744C2×C4#55118yes—
745C2×C4#55118yes—
746C2×C4C22×#4112yes—
747C2×C4C22×#4111yescharacteristic
748C2×C4C22×#4111yescharacteristic
749C2×C4C2×H(5,𝔽2)12yes—
750C8—42no—
751C8—42no—
752C8—44no—
753C22—22no—
754C22—22no—
755C22—22no—
756C22—22no—
757C22—22no—
758C22—22no—
759C22—22no—
760C22—22no—
761C22—22no—
762C22—22no—
763C22—22no—
764C22—22no—
765C22—22no—
766C22—22no—
767C22—22no—
768C22—416no—
769C22—41no—
770C22—41no—
771C22—41no—
772C22—41no—
773C22—44no—
774C22—44no—
775C22—44no—
776C22—816no—
777C22—82no—
778C22—82no—
779C22—82no—
780C22—82no—
781C22#256114yes—
782C22#313714yes—
783C22C2×#52511yescharacteristic
784C22C22×#12411yescharacteristic
785C22C2×#53411yescharacteristic
786C22C2×#57711yescharacteristic
787C22C2×#57811yescharacteristic
788C22#358511yescharacteristic
789C22#358511yescharacteristic
790C4—22no—
791C4—22no—
792C4—44no—
793C4—42no—
794C4—42no—
795C4—42no—
796C4—42no—
797C4—81no—
798C4—82no—
799C4—81no—
800C4—81no—
801C4—82no—
802C4—81no—
803C4—84no—
804C4#256114yes—
805C4C2×#55112yes—
806C4C2×#55112yes—
807C2—24no—
808C2—24no—
809C2—42no—
810C2—84no—
811C2C2×#256111yescharacteristic
812C2#6058811yescharacteristic
813C2#6058911yescharacteristic
814C2C2×#313711yescharacteristic
815C2#6061911yescharacteristic
816C2#6076411yescharacteristic
817C2#6076511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC23×#41C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C22×#117 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #35253C2semidirect
3. #29120C2semidirect
4. #29119C2semidirect
5. #29112C2semidirect
6. #29109C2semidirect
7. #29105C2semidirect
8. #29104C2semidirect
9. #23634C2semidirect
10. #23458C2semidirect
11. #21092C2semidirect
12. #21087C2semidirect
13. #20700C2semidirect
14. C2×#1824C2semidirect
17. #20379C2semidirect
19. C2×#544C22semidirect
28. C2×#405C22semidirect
31. #2629C22semidirect
32. #2628C22semidirect
39. #2317C22semidirect
40. #2317C22semidirect
41. #2316C22semidirect
55. #2074C22semidirect
56. #2073C22semidirect
57. #2072C22semidirect
58. #2071C22semidirect
59. #2026C22semidirect
60. #2025C22semidirect
61. #2024C22semidirect
62. #2023C22semidirect
63. #1936C22semidirect
64. #1936C22semidirect
65. #1935C22semidirect
66. #1935C22semidirect
67. #1934C22semidirect
68. #1934C22semidirect
69. #1933C22semidirect
70. #1933C22semidirect
75. #1824C22semidirect
76. #1823C22semidirect
77. #1823C22semidirect
87. #1750C22semidirect
90. #1736C22semidirect
91. #1736C22semidirect
92. C2×#340C22semidirect
93. C2×#340C22semidirect
94. #1729C22semidirect

Maximal subgroups

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

subgroupindex
#352532
C2×#23112
#291202
#291192
#291122
#291092
#291052
#291042
#236342
#234582
#210922
#210872
#207002
C2×#18242
#206012
#205972
#203792