Finite Group Databasebeta

← #6470447

Subgroups — #6470447

Order 512.

3160 conjugacy classes of subgroups.

The subgroup lattice has 794 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#35033C211yesmaximal, characteristic, complemented
2C2×D4×C22⋊C4C211yesmaximal, characteristic
3#32959C212yesmaximal, complemented
4#32956C211yesmaximal, characteristic, complemented
5#32953C211yesmaximal, characteristic, complemented
6#29956C212yesmaximal, complemented
7#29952C211yesmaximal, characteristic, complemented
8#29950C211yesmaximal, characteristic, complemented
9#25976C214yesmaximal, complemented
10#25974C214yesmaximal, complemented
11#25968C214yesmaximal, complemented
12#25966C214yesmaximal, complemented
13#21944C212yesmaximal, complemented
14#21934C211yesmaximal, characteristic, complemented
15#20598C212yesmaximal
16C24×D4C2211yescharacteristic
17C22×C4×D4C2211yescharacteristic
18C22×C4×D4C2211yescharacteristic
19C23×C22⋊C4—21no—
20C2×#478C2214yescomplemented
21C2×#476C2212yescomplemented
22C2×#474C2212yescomplemented
23C2×#418C2214yes—
24C2×#418C2214yes—
25C2×#407C2212yes—
26#2857C2211yescharacteristic, complemented
27#2857C2211yescharacteristic, complemented
28#2851C2212yescomplemented
29#2626—21no—
30#2626—21no—
31#2608—22no—
32#2607—22no—
33#2441C2212yescomplemented
34#2441C2212yescomplemented
35#2439C2212yescomplemented
36#2439C2212yescomplemented
37D4×C22⋊C4—22no—
38D4×C22⋊C4—22no—
39D4×C22⋊C4C2214yes—
40D4×C22⋊C4C2214yes—
41#2329—21no—
42#2329—21no—
43C2×#390C2211yescharacteristic
44C2×#390C2211yescharacteristic
45C2×#386—21no—
46C2×#386—21no—
47#2280C2212yes—
48C2×#380C2211yescharacteristic
49C2×#379—21no—
50C2×C4×C22⋊C4C2211yescharacteristic
51#2094C2212yescomplemented
52#2093C2212yescomplemented
53#2092C2214yescomplemented
54#2067C2214yescomplemented
55#2067C2214yescomplemented
56#2065C2214yescomplemented
57#2065C2214yescomplemented
58#2025C2214yescomplemented
59#2023C2212yescomplemented
60#2023C2212yescomplemented
61#1864C2214yescomplemented
62#1864C2214yescomplemented
63#1862C2214yescomplemented
64#1862C2214yescomplemented
65#1854C2214yescomplemented
66#1854C2214yescomplemented
67#1853C2212yescomplemented
68#1853C2212yescomplemented
69#1852C2212yescomplemented
70#1852C2212yescomplemented
71#1851C2214yescomplemented
72#1851C2214yescomplemented
73#1809C2214yescomplemented
74#1809C2214yescomplemented
75#1804C2214yescomplemented
76#1802C2212yescomplemented
77#1802C2212yescomplemented
78#1797C2211yescharacteristic, complemented
79#1797C2212yescomplemented
80#1797C2211yescharacteristic, complemented
81#1786C2212yes—
82#1786C2212yes—
83#1786C2214yes—
84#1786C2214yes—
85#1786C2212yes—
86#1786C2212yes—
87C26—21no—
88C23×D4—22no—
89C23×D4—21no—
90C23×D4—24no—
91C23×D4—44no—
92C23×D4—44no—
93C23×D4Q818yescomplemented
94C23×D4C2311yescharacteristic
95C23×D4C2314yes—
96C23×D4C2311yescharacteristic
97C24×C4—21no—
98C24×C4—21no—
99C24×C4C2311yescharacteristic
100C22×M16C2314yes—
101C2×C4⋊Q8C2311yescharacteristic, complemented
102C2×C4⋊Q8C2311yescharacteristic, complemented
103C2×#125C2312yescomplemented
104C2×C22⋊Q8—21no—
105C2×C22⋊Q8—21no—
106C2×C4×D4—22no—
107C2×C4×D4—21no—
108C2×C4×D4—21no—
109C2×C4×D4—44no—
110C2×C4×D4—44no—
111C2×C4×D4C2314yes—
112C2×C4×D4C2312yes—
113C2×C4×D4C2312yes—
114C2×#117C2312yes—
115C2×#117C2312yes—
116C22×C4⋊C4C2311yescharacteristic
117C22×C4⋊C4C2311yescharacteristic
118C22×C22⋊C4—21no—
119C22×C22⋊C4—21no—
120C22×C22⋊C4—21no—
121C22×C22⋊C4—21no—
122C22×C22⋊C4—21no—
123C22×C22⋊C4—21no—
124C22×C22⋊C4—21no—
125C22×C22⋊C4—24no—
126C22×C22⋊C4—24no—
127C22×C22⋊C4—48no—
128C22×C22⋊C4D411yescharacteristic
129C22×C22⋊C4D411yescharacteristic
130C22×C42C2311yescharacteristic
131C22×C42C2311yescharacteristic
132#478—48no—
133#476—44no—
134#474—44no—
135C2×#107C2314yescomplemented
136C2×#107C2314yescomplemented
137C2×#106C2314yescomplemented
138C2×#106C2314yescomplemented
139C2×C4⋊C8C2314yescomplemented
140C2×C4⋊C8C2312yescomplemented
141C2×C4⋊C8C2312yescomplemented
142#418—48no—
143#418—48no—
144C2×#102C2314yes—
145C2×#102C2314yes—
146C2×#102C2314yes—
147C2×#102C2314yes—
148C2×#102C2314yes—
149C2×#102C2314yes—
150C2×#102C2314yes—
151C2×#102C2314yes—
152#407—28no—
153C2×C22⋊C8C2312yes—
154C2×C22⋊C8C2312yes—
155C2×C22⋊C8C2314yes—
156#399—22no—
157#399—22no—
158#396—22no—
159#396—22no—
160#396—22no—
161#396—22no—
162#393—22no—
163#393—22no—
164#391—21no—
165#391—21no—
166#391—22no—
167#391—22no—
168#390—22no—
169#390—21no—
170#390—21no—
171#390C2312yes—
172#390C2314yes—
173#390C2312yes—
174#389—21no—
175#389—21no—
176#389—22no—
177#389—22no—
178#389C2312yescomplemented
179#389C2312yescomplemented
180#389C2312yescomplemented
181#389C2312yescomplemented
182#387—22no—
183#387—22no—
184#387—22no—
185#387—22no—
186#387—22no—
187#387—22no—
188#386—24no—
189#386—24no—
190#386—24no—
191#386—24no—
192#385—22no—
193#385—22no—
194#384C2311yescharacteristic, complemented
195#384C2311yescharacteristic, complemented
196#382C2312yescomplemented
197#381—22no—
198#380—21no—
199#380—21no—
200#380—22no—
201#380C2314yes—
202#380C2312yes—
203#380C2312yes—
204#380C2312yes—
205#380C2312yes—
206#379—22no—
207#379—24no—
208#379—24no—
209C4×C22⋊C4—22no—
210C4×C22⋊C4—22no—
211C4×C22⋊C4D412yes—
212C4×C22⋊C4D412yes—
213C4×C22⋊C4C2312yes—
214C4×C22⋊C4C2312yes—
215C2×#95—21no—
216C2×#95D411yescharacteristic
217C2×#95D411yescharacteristic
218#340C2314yescomplemented
219#340C2314yescomplemented
220#340C2314yescomplemented
221#340C2314yescomplemented
222#336C2314yescomplemented
223#336C2312yescomplemented
224#336C2312yescomplemented
225C25—21no—
226C25—21no—
227C25—28no—
228C25—24no—
229C25—44no—
230C25—44no—
231C25—44no—
232C25—44no—
233C25—82no—
234C25—82no—
235C25C2×D411yescharacteristic
236C22×Q8—21no—
237C22×Q8—21no—
238C22×D4—24no—
239C22×D4—24no—
240C22×D4—28no—
241C22×D4—28no—
242C22×D4—216no—
243C22×D4—28no—
244C22×D4—21no—
245C22×D4—24no—
246C22×D4—21no—
247C22×D4—22no—
248C22×D4—22no—
249C22×D4—28no—
250C22×D4—42no—
251C22×D4—42no—
252C22×D4—44no—
253C22×D4—44no—
254C22×D4—432no—
255C22×D4—432no—
256C22×D4—48no—
257C22×D4—48no—
258C22×D4—44no—
259C22×D4—44no—
260C22×D4C2×Q814yes—
261C22×D4C2×Q8116yes—
262C22×D4C2×Q814yes—
263C22×D4C2412yes—
264C22×D4C2412yes—
265C23×C4—21no—
266C23×C4—21no—
267C23×C4—24no—
268C23×C4—22no—
269C23×C4—22no—
270C23×C4—42no—
271C23×C4—42no—
272C23×C4—44no—
273C23×C4—44no—
274C23×C4—44no—
275C23×C4—44no—
276C23×C4—82no—
277C23×C4—82no—
278C23×C4C2×D411yescharacteristic
279C23×C4C2×D411yescharacteristic
280C23×C4C2×D411yescharacteristic
281C23×C4C2×D411yescharacteristic
282C23×C4C2×D412yes—
283C23×C4C2×D411yescharacteristic
284C23×C4C2×Q814yes—
285C23×C4#4114yes—
286C23×C4C2411yescharacteristic
287C23×C4C2412yes—
288C2×M16—28no—
289C2×M16—44no—
290C2×M16—44no—
291C22×C8C2414yes—
292C22×C8C2414yes—
293C4⋊Q8—42no—
294C4⋊Q8—42no—
295#125—44no—
296C22⋊Q8—44no—
297C22⋊Q8—44no—
298C4×D4—24no—
299C4×D4—24no—
300C4×D4—28no—
301C4×D4—44no—
302C4×D4—42no—
303C4×D4—42no—
304C4×D4—44no—
305C4×D4—44no—
306C4×D4—48no—
307#117—44no—
308#117—44no—
309C2×C4⋊C4—21no—
310C2×C4⋊C4—21no—
311C2×C4⋊C4—21no—
312C2×C4⋊C4—21no—
313C2×C4⋊C4—22no—
314C2×C4⋊C4—22no—
315C2×C4⋊C4—22no—
316C2×C4⋊C4—22no—
317C2×C4⋊C4—21no—
318C2×C4⋊C4—21no—
319C2×C4⋊C4—21no—
320C2×C4⋊C4—21no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—42no—
324C2×C4⋊C4—42no—
325C2×C4⋊C4C2412yes—
326C2×C4⋊C4C2412yes—
327C2×C4⋊C4C2412yes—
328C2×C4⋊C4C2412yes—
329C2×C4⋊C4C2412yes—
330C2×C4⋊C4C2412yes—
331C2×C22⋊C4—24no—
332C2×C22⋊C4—24no—
333C2×C22⋊C4—22no—
334C2×C22⋊C4—22no—
335C2×C22⋊C4—24no—
336C2×C22⋊C4—22no—
337C2×C22⋊C4—22no—
338C2×C22⋊C4—24no—
339C2×C22⋊C4—22no—
340C2×C22⋊C4—22no—
341C2×C22⋊C4—22no—
342C2×C22⋊C4—22no—
343C2×C22⋊C4—22no—
344C2×C22⋊C4—22no—
345C2×C22⋊C4—24no—
346C2×C22⋊C4—22no—
347C2×C22⋊C4—22no—
348C2×C22⋊C4—416no—
349C2×C22⋊C4—416no—
350C2×C22⋊C4—42no—
351C2×C22⋊C4—44no—
352C2×C22⋊C4—44no—
353C2×C22⋊C4—44no—
354C2×C22⋊C4—44no—
355C2×C22⋊C4—44no—
356C2×C22⋊C4—82no—
357C2×C22⋊C4—82no—
358C2×C22⋊C4C2×D412yes—
359C2×C22⋊C4C2×D412yes—
360C2×C22⋊C4C2×D412yes—
361C2×C22⋊C4C2×D412yes—
362C2×C42—22no—
363C2×C42—22no—
364C2×C42—42no—
365C2×C42—42no—
366C2×C42C2×D412yes—
367C2×C42C2×D411yescharacteristic
368C2×C42C2×D411yescharacteristic
369C2×C42C2412yes—
370C2×C42C2411yescharacteristic
371C2×C42C2411yescharacteristic
372#107—44no—
373#107—44no—
374#106—44no—
375#106—44no—
376C4⋊C8—42no—
377C4⋊C8—42no—
378C4⋊C8—44no—
379#102—28no—
380#102—28no—
381#102—28no—
382#102—28no—
383#102—44no—
384#102—44no—
385#102—44no—
386#102—44no—
387C22⋊C8—24no—
388C22⋊C8—24no—
389C22⋊C8—28no—
390#95—24no—
391#95—22no—
392#95—22no—
393#95—22no—
394#95—22no—
395#95—22no—
396#95—22no—
397#95—22no—
398#95—22no—
399#95—22no—
400#95—22no—
401#95C2×D412yes—
402#95C2×D412yes—
403#95C2×D412yes—
404#95C2×D412yes—
405C24—24no—
406C24—24no—
407C24—24no—
408C24—22no—
409C24—22no—
410C24—22no—
411C24—24no—
412C24—22no—
413C24—216no—
414C24—41no—
415C24—41no—
416C24—41no—
417C24—41no—
418C24—48no—
419C24—48no—
420C24—42no—
421C24—42no—
422C24—48no—
423C24—42no—
424C24—42no—
425C24—42no—
426C24—42no—
427C24—432no—
428C24—432no—
429C24—48no—
430C24—42no—
431C24—42no—
432C24—42no—
433C24—42no—
434C24—84no—
435C24—84no—
436C24—816no—
437C24—816no—
438C24—816no—
439C24—816no—
440C24—816no—
441C24C22⋊Q814yes—
442C24C22×D412yes—
443C24C22×D411yescharacteristic
444C2×Q8—42no—
445C2×Q8—42no—
446C2×Q8—81no—
447C2×Q8—81no—
448C2×Q8—81no—
449C2×Q8—81no—
450C2×D4—24no—
451C2×D4—24no—
452C2×D4—216no—
453C2×D4—216no—
454C2×D4—232no—
455C2×D4—24no—
456C2×D4—216no—
457C2×D4—24no—
458C2×D4—22no—
459C2×D4—22no—
460C2×D4—22no—
461C2×D4—22no—
462C2×D4—24no—
463C2×D4—24no—
464C2×D4—416no—
465C2×D4—48no—
466C2×D4—416no—
467C2×D4—416no—
468C2×D4—48no—
469C2×D4—48no—
470C2×D4—42no—
471C2×D4—42no—
472C2×D4—48no—
473C2×D4—464no—
474C2×D4—432no—
475C2×D4C22×Q814yes—
476C2×D4C22×Q814yes—
477C2×D4H(5,𝔽2)14yes—
478C2×D4H(5,𝔽2)14yes—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—48no—
493C22×C4—48no—
494C22×C4—41no—
495C22×C4—41no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—41no—
499C22×C4—41no—
500C22×C4—41no—
501C22×C4—41no—
502C22×C4—41no—
503C22×C4—41no—
504C22×C4—41no—
505C22×C4—41no—
506C22×C4—44no—
507C22×C4—44no—
508C22×C4—48no—
509C22×C4—48no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—44no—
517C22×C4—44no—
518C22×C4—82no—
519C22×C4—82no—
520C22×C4—84no—
521C22×C4—816no—
522C22×C4—816no—
523C22×C4C22⋊Q818yes—
524C22×C4C22⋊Q814yes—
525C22×C4AGL(1,ℤ/8)14yes—
526C22×C4C22×D412yes—
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D412yes—
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D412yes—
531C22×C4C22×D411yescharacteristic
532C22×C4C22×D411yescharacteristic
533C22×C4C22×D411yescharacteristic
534C22×C4C22×Q814yes—
535C22×C4C22×Q812yes—
536C22×C4C2×#4112yes—
537C22×C4C2×#4114yes—
538C22×C4C2511yescharacteristic
539M16—88no—
540C2×C8—24no—
541C2×C8—24no—
542C2×C8—24no—
543C2×C8—24no—
544C2×C8—24no—
545C2×C8—24no—
546C4⋊C4—24no—
547C4⋊C4—24no—
548C4⋊C4—24no—
549C4⋊C4—24no—
550C4⋊C4—22no—
551C4⋊C4—24no—
552C4⋊C4—22no—
553C4⋊C4—42no—
554C4⋊C4—42no—
555C4⋊C4—44no—
556C4⋊C4—42no—
557C4⋊C4—42no—
558C4⋊C4—44no—
559C4⋊C4—81no—
560C4⋊C4—81no—
561C4⋊C4—82no—
562C4⋊C4—82no—
563C4⋊C4—82no—
564C4⋊C4—82no—
565C4⋊C4—81no—
566C4⋊C4—81no—
567C22⋊C4—24no—
568C22⋊C4—24no—
569C22⋊C4—42no—
570C22⋊C4—42no—
571C22⋊C4—44no—
572C22⋊C4—48no—
573C22⋊C4—44no—
574C22⋊C4—48no—
575C22⋊C4—48no—
576C22⋊C4—44no—
577C22⋊C4—44no—
578C22⋊C4—44no—
579C22⋊C4—44no—
580C22⋊C4—84no—
581C22⋊C4—82no—
582C22⋊C4—82no—
583C22⋊C4—82no—
584C22⋊C4—82no—
585C22⋊C4—82no—
586C22⋊C4—82no—
587C42—24no—
588C42—22no—
589C42—22no—
590C42—41no—
591C42—41no—
592C42—42no—
593C42—82no—
594C42—82no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—216no—
600C23—22no—
601C23—22no—
602C23—28no—
603C23—24no—
604C23—24no—
605C23—24no—
606C23—22no—
607C23—22no—
608C23—22no—
609C23—22no—
610C23—24no—
611C23—44no—
612C23—44no—
613C23—432no—
614C23—48no—
615C23—48no—
616C23—48no—
617C23—48no—
618C23—48no—
619C23—44no—
620C23—44no—
621C23—44no—
622C23—44no—
623C23—48no—
624C23—432no—
625C23—48no—
626C23—42no—
627C23—42no—
628C23—48no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—48no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23—42no—
638C23—816no—
639C23—84no—
640C23—84no—
641C23—84no—
642C23—84no—
643C23—8128no—
644C23—816no—
645C23—816no—
646C23—816no—
647C23—816no—
648C23C2×C22⋊Q814yes—
649C23C2×C22⋊Q812yes—
650C23C2×AGL(1,ℤ/8)12yes—
651C23#57512yes—
652C23C23×D411yescharacteristic
653Q8—162no—
654Q8—162no—
655D4—216no—
656D4—24no—
657D4—28no—
658D4—24no—
659D4—24no—
660D4—432no—
661D4—48no—
662D4—44no—
663D4#54318yes—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—24no—
673C2×C4—28no—
674C2×C4—28no—
675C2×C4—24no—
676C2×C4—22no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—22no—
684C2×C4—22no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—22no—
688C2×C4—48no—
689C2×C4—44no—
690C2×C4—44no—
691C2×C4—44no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—88no—
711C2×C4—88no—
712C2×C4—82no—
713C2×C4—82no—
714C2×C4—816no—
715C2×C4—84no—
716C2×C4—84no—
717C2×C4C2×C22⋊Q812yes—
718C2×C4C2×C22⋊Q814yes—
719C2×C4C2×AGL(1,ℤ/8)12yes—
720C2×C4C2×AGL(1,ℤ/8)12yes—
721C2×C4C23×Q811yescharacteristic
722C2×C4C22×#4111yescharacteristic
723C2×C4C2×H(5,𝔽2)12yes—
724C2×C4C2×H(5,𝔽2)12yes—
725C8—44no—
726C8—44no—
727C22—22no—
728C22—22no—
729C22—22no—
730C22—22no—
731C22—22no—
732C22—22no—
733C22—24no—
734C22—24no—
735C22—24no—
736C22—28no—
737C22—432no—
738C22—416no—
739C22—44no—
740C22—44no—
741C22—44no—
742C22—42no—
743C22—42no—
744C22—44no—
745C22—42no—
746C22—44no—
747C22—44no—
748C22—42no—
749C22—44no—
750C22—44no—
751C22—44no—
752C22—816no—
753C22—864no—
754C22—82no—
755C22—82no—
756C22—82no—
757C22—82no—
758C22#307714yes—
759C22C22×C22⋊Q811yescharacteristic
760C22#348411yescharacteristic
761C22#348411yescharacteristic
762C22C22×AGL(1,ℤ/8)11yescharacteristic
763C22C2×#57511yescharacteristic
764C22#358511yescharacteristic
765C22#358511yescharacteristic
766C4—22no—
767C4—22no—
768C4—22no—
769C4—24no—
770C4—42no—
771C4—41no—
772C4—41no—
773C4—42no—
774C4—82no—
775C4—82no—
776C4—82no—
777C4—82no—
778C4—82no—
779C4—82no—
780C4C2×#54312yes—
781C4#349012yes—
782C2—24no—
783C2—44no—
784C2—48no—
785C2—84no—
786C2#3498211yescharacteristic
787C2C2×#307711yescharacteristic
788C2#6049011yescharacteristic
789C2#6157111yescharacteristic
790C2#6157611yescharacteristic
791C2#6158111yescharacteristic
792C2#6158211yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC24×D4C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C4×C22⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #35033C2semidirect
3. #32959C2semidirect
4. #32956C2semidirect
5. #32953C2semidirect
6. #29956C2semidirect
7. #29952C2semidirect
8. #29950C2semidirect
9. #25976C2semidirect
10. #25974C2semidirect
11. #25968C2semidirect
12. #25966C2semidirect
13. #21944C2semidirect
14. #21934C2semidirect
20. C2×#478C22semidirect
21. C2×#476C22semidirect
22. C2×#474C22semidirect
26. #2857C22semidirect
27. #2857C22semidirect
28. #2851C22semidirect
33. #2441C22semidirect
34. #2441C22semidirect
35. #2439C22semidirect
36. #2439C22semidirect
51. #2094C22semidirect
52. #2093C22semidirect
53. #2092C22semidirect
54. #2067C22semidirect
55. #2067C22semidirect
56. #2065C22semidirect
57. #2065C22semidirect
58. #2025C22semidirect
59. #2023C22semidirect
60. #2023C22semidirect
61. #1864C22semidirect
62. #1864C22semidirect
63. #1862C22semidirect
64. #1862C22semidirect
65. #1854C22semidirect
66. #1854C22semidirect
67. #1853C22semidirect
68. #1853C22semidirect
69. #1852C22semidirect
70. #1852C22semidirect
71. #1851C22semidirect
72. #1851C22semidirect
73. #1809C22semidirect
74. #1809C22semidirect
75. #1804C22semidirect
76. #1802C22semidirect
77. #1802C22semidirect
78. #1797C22semidirect
79. #1797C22semidirect
80. #1797C22semidirect
93. C23×D4Q8semidirect
101. C2×C4⋊Q8C23semidirect
102. C2×C4⋊Q8C23semidirect
103. C2×#125C23semidirect
135. C2×#107C23semidirect
136. C2×#107C23semidirect
137. C2×#106C23semidirect
138. C2×#106C23semidirect
139. C2×C4⋊C8C23semidirect
140. C2×C4⋊C8C23semidirect
141. C2×C4⋊C8C23semidirect
178. #389C23semidirect
179. #389C23semidirect
180. #389C23semidirect
181. #389C23semidirect
194. #384C23semidirect
195. #384C23semidirect
196. #382C23semidirect
218. #340C23semidirect
219. #340C23semidirect
220. #340C23semidirect
221. #340C23semidirect
222. #336C23semidirect
223. #336C23semidirect
224. #336C23semidirect

Maximal subgroups

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

subgroupindex
#350332
C2×D4×C22⋊C42
#329592
#329562
#329532
#299562
#299522
#299502
#259762
#259742
#259682
#259662
#219442
#219342
#205982