Finite Group Databasebeta

← #6513496

Subgroups — #6513496

Order 512.

2364 conjugacy classes of subgroups.

The subgroup lattice has 804 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3112C211yesmaximal, characteristic, complemented
2C2×#2973C211yesmaximal, characteristic, complemented
3#35165C211yesmaximal, characteristic
4C2×#2536C211yesmaximal, characteristic, complemented
5#28236C214yesmaximal, complemented
6#28154C214yesmaximal, complemented
7#25402C214yesmaximal, complemented
8#25352C214yesmaximal, complemented
9#24558C212yesmaximal, complemented
10#24550C212yesmaximal, complemented
11#24387C212yesmaximal, complemented
12#24381C212yesmaximal, complemented
13#21986C211yesmaximal, characteristic, complemented
14#21865C211yesmaximal, characteristic, complemented
15#20740C211yesmaximal, characteristic, complemented
16C2×#535—21no—
17C2×#532C2211yescharacteristic
18C22×C22⋊Q8C2211yescharacteristic
19C22×C22⋊Q8C2211yescharacteristic
20C22×C4×Q8C2211yescharacteristic
21C22×C4×D4C2211yescharacteristic
22#3112—28no—
23C2×#480C2212yes—
24C2×#477C2212yescomplemented
25C2×#468C2214yescomplemented
26C2×#465C2214yescomplemented
27C2×#460C2212yescomplemented
28C2×#448C2212yes—
29#2973—28no—
30C2×#440C2214yescomplemented
31C2×#435C2214yes—
32C2×#435C2214yes—
33C2×#432C2211yescharacteristic
34C2×#432C2211yescharacteristic
35C2×#407C2212yes—
36C22×C22⋊C8C2212yes—
37#2847C2212yes—
38#2847C2212yes—
39#2617—21no—
40#2617—21no—
41#2547C2212yes—
42#2544—22no—
43#2541C2212yes—
44#2537C2212yes—
45#2537C2212yes—
46#2536—22no—
47#2536—22no—
48#2536C2214yes—
49#2536C2214yes—
50#2535—22no—
51C2×#398—21no—
52C2×#394—21no—
53#2311—21no—
54C2×#388—21no—
55C2×#388—21no—
56#2285C2211yescharacteristic
57C2×#382C2211yescharacteristic
58C2×#380C2211yescharacteristic
59C2×#380C2211yescharacteristic
60#2076C2214yescomplemented
61#2075C2214yescomplemented
62#2036C2214yescomplemented
63#2035C2214yescomplemented
64#2034C2214yescomplemented
65#2033C2214yescomplemented
66#2000C2214yescomplemented
67#2000C2214yescomplemented
68#1993C2212yescomplemented
69#1961C2212yescomplemented
70#1949C2214yescomplemented
71#1895C2214yescomplemented
72#1894C2214yescomplemented
73#1893C2214yescomplemented
74#1892C2214yescomplemented
75#1874C2212yes—
76#1874C2212yes—
77#1853C2212yes—
78#1852C2212yes—
79#1847C2212yescomplemented
80#1836C2212yescomplemented
81#1823C2212yes—
82#1809C2214yescomplemented
83#1808C2214yescomplemented
84#1804C2214yescomplemented
85#1803C2212yescomplemented
86#1803C2212yescomplemented
87#1787C2212yes—
88#1763C2214yescomplemented
89C22×#41—21no—
90C23×Q8C2311yescharacteristic
91C23×D4D411yescharacteristic
92C24×C4C2311yescharacteristic
93C24×C4C2311yescharacteristic
94C22×SD16C2314yes—
95C22×M16C2314yes—
96C23×C8C2314yes—
97#535—48no—
98#532—24no—
99#532—24no—
100C2×C4⋊Q8C2311yescharacteristic
101C2×#127—22no—
102C2×#127C2311yescharacteristic
103C2×#124—22no—
104C2×#124—21no—
105C2×C22⋊Q8—22no—
106C2×C22⋊Q8—22no—
107C2×C22⋊Q8—44no—
108C2×C22⋊Q8—44no—
109C2×C22⋊Q8C2314yes—
110C2×C22⋊Q8C2314yes—
111C2×#121—22no—
112C2×#121—22no—
113C2×#121—21no—
114C2×#121C2312yes—
115C2×#121C2312yes—
116C2×#121C2312yes—
117C2×#121C2312yes—
118C2×#121C2312yes—
119C2×#120—22no—
120C2×#120—22no—
121C2×C4×Q8—21no—
122C2×C4×Q8—21no—
123C2×C4×Q8—24no—
124C2×C4×Q8—24no—
125C2×C4×Q8C2312yes—
126C2×C4×Q8C2312yes—
127C2×C4×D4—24no—
128C2×C4×D4—21no—
129C2×C4×D4—24no—
130C2×C4×D4D412yes—
131C2×C4×D4D412yes—
132C2×C4×D4C2312yes—
133C2×C4×D4C2312yes—
134C2×C4×D4C2312yes—
135C2×#117—21no—
136C22×C4⋊C4—21no—
137C22×C4⋊C4—21no—
138C22×C4⋊C4—21no—
139C22×C4⋊C4D411yescharacteristic
140C22×C4⋊C4C2311yescharacteristic
141C22×C4⋊C4C2311yescharacteristic
142C22×C4⋊C4C2311yescharacteristic
143C22×C22⋊C4—21no—
144C22×C22⋊C4—21no—
145C22×C22⋊C4—21no—
146C22×C22⋊C4—21no—
147C22×C22⋊C4D411yescharacteristic
148C22×C22⋊C4D411yescharacteristic
149C22×C42—21no—
150C22×C42C2311yescharacteristic
151#480—28no—
152#477—28no—
153#468—48no—
154#465—48no—
155#460—28no—
156#448—28no—
157#440—216no—
158#435—216no—
159#435—216no—
160#432—24no—
161#432D418yescomplemented
162C2×#107C2314yes—
163C2×#107C2314yes—
164C2×#106C2314yes—
165C2×C4⋊C8C2312yes—
166C2×C4⋊C8C2312yes—
167C2×#103C2314yes—
168C2×#103C2314yes—
169C2×#103C2314yes—
170C2×#102C2314yes—
171C2×#102C2314yes—
172C2×#102C2314yes—
173#407—28no—
174C2×C22⋊C8—28no—
175C2×C22⋊C8C2314yes—
176C2×C22⋊C8C2314yes—
177C2×C22⋊C8C2312yes—
178C2×C22⋊C8C2312yes—
179C2×#97C2312yes—
180C2×#97C2312yes—
181#398—24no—
182#398—24no—
183#397—22no—
184#397—22no—
185#394—24no—
186#394—24no—
187#394—22no—
188#394—22no—
189#394—22no—
190#394—22no—
191#392—22no—
192#392—22no—
193#391—22no—
194#390—22no—
195#388—24no—
196#388—24no—
197#388—24no—
198#388—24no—
199#386—22no—
200#386—22no—
201#386—22no—
202#386—22no—
203#386—22no—
204#386—22no—
205#384C2311yescharacteristic
206#384C2311yescharacteristic
207#382—21no—
208#382—21no—
209#382—21no—
210#382C2312yes—
211#382C2312yes—
212#380—21no—
213#380—22no—
214#380—22no—
215#380—22no—
216#380—22no—
217#380C2312yes—
218#380C2314yes—
219#380C2312yes—
220#380C2314yes—
221#380C2312yes—
222#380C2312yes—
223#380C2312yes—
224C4×C4⋊C4—21no—
225C4×C4⋊C4C2312yes—
226C2×#95—21no—
227C2×#95—21no—
228C2×#95—21no—
229C2×#95—21no—
230#340C2314yes—
231#340C2314yes—
232#340C2314yes—
233#340C2314yes—
234#340C2314yes—
235#340C2314yes—
236C25C2×D411yescharacteristic
237C25C2×D411yescharacteristic
238C2×#41—44no—
239C2×#41—44no—
240C2×#41—44no—
241C22×Q8—24no—
242C22×Q8—21no—
243C22×Q8—21no—
244C22×Q8—22no—
245C22×Q8—22no—
246C22×Q8—42no—
247C22×Q8C2412yes—
248C22×D4—24no—
249C22×D4—22no—
250C22×D4—22no—
251C22×D4—22no—
252C22×D4—22no—
253C22×D4—22no—
254C22×D4—24no—
255C22×D4—21no—
256C22×D4—21no—
257C22×D4—42no—
258C22×D4C2×D412yes—
259C22×D4C2×D412yes—
260C22×D4C2412yes—
261C23×C4—21no—
262C23×C4—22no—
263C23×C4—22no—
264C23×C4—22no—
265C23×C4—22no—
266C23×C4—21no—
267C23×C4—21no—
268C23×C4—21no—
269C23×C4—22no—
270C23×C4—42no—
271C23×C4—42no—
272C23×C4—42no—
273C23×C4—42no—
274C23×C4C2×D411yescharacteristic
275C23×C4C2×D411yescharacteristic
276C23×C4C2×D411yescharacteristic
277C23×C4C2×D412yes—
278C23×C4C2×D412yes—
279C23×C4C2×D411yescharacteristic
280C23×C4C2412yes—
281C23×C4C2412yes—
282C23×C4C2411yescharacteristic
283C2×SD16—28no—
284C2×SD16—28no—
285C2×SD16—44no—
286C2×M16—28no—
287C2×M16—44no—
288C2×M16—44no—
289C22×C8—28no—
290C22×C8—44no—
291C22×C8—44no—
292C22×C8C2414yes—
293C22×C8C2414yes—
294C4⋊Q8—22no—
295C4⋊Q8—22no—
296#127—22no—
297#127—22no—
298#127—48no—
299#124—48no—
300#124—44no—
301C22⋊Q8—28no—
302C22⋊Q8—28no—
303C22⋊Q8—44no—
304C22⋊Q8—44no—
305C22⋊Q8—48no—
306C22⋊Q8—48no—
307#121—24no—
308#121—24no—
309#121—48no—
310#121—48no—
311#121—44no—
312#121—44no—
313#121—44no—
314#121—44no—
315#121—44no—
316#120—48no—
317#120—48no—
318C4×Q8—24no—
319C4×Q8—24no—
320C4×Q8—24no—
321C4×Q8—24no—
322C4×Q8—44no—
323C4×Q8—44no—
324C4×D4—28no—
325C4×D4—28no—
326C4×D4—24no—
327C4×D4—24no—
328C4×D4—24no—
329C4×D4—24no—
330C4×D4—24no—
331C4×D4—24no—
332C4×D4—44no—
333#117—44no—
334C2×C4⋊C4—24no—
335C2×C4⋊C4—22no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—22no—
338C2×C4⋊C4—22no—
339C2×C4⋊C4—24no—
340C2×C4⋊C4—24no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—21no—
343C2×C4⋊C4—21no—
344C2×C4⋊C4—21no—
345C2×C4⋊C4—21no—
346C2×C4⋊C4—21no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—42no—
350C2×C4⋊C4—42no—
351C2×C4⋊C4—44no—
352C2×C4⋊C4—44no—
353C2×C4⋊C4—44no—
354C2×C4⋊C4C2×D412yes—
355C2×C4⋊C4C2×D412yes—
356C2×C4⋊C4C2412yes—
357C2×C4⋊C4C2412yes—
358C2×C4⋊C4C2412yes—
359C2×C4⋊C4C2412yes—
360C2×C4⋊C4C2412yes—
361C2×C4⋊C4C2412yes—
362C2×C22⋊C4—24no—
363C2×C22⋊C4—24no—
364C2×C22⋊C4—24no—
365C2×C22⋊C4—24no—
366C2×C22⋊C4—24no—
367C2×C22⋊C4—24no—
368C2×C22⋊C4—22no—
369C2×C22⋊C4—22no—
370C2×C22⋊C4—22no—
371C2×C22⋊C4—22no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—22no—
374C2×C22⋊C4—22no—
375C2×C22⋊C4—22no—
376C2×C22⋊C4—22no—
377C2×C22⋊C4—22no—
378C2×C22⋊C4—22no—
379C2×C22⋊C4—44no—
380C2×C22⋊C4—44no—
381C2×C22⋊C4—44no—
382C2×C22⋊C4—44no—
383C2×C22⋊C4C2×D412yes—
384C2×C22⋊C4C2×D412yes—
385C2×C22⋊C4C2×D412yes—
386C2×C22⋊C4C2×D412yes—
387C2×C42—22no—
388C2×C42—22no—
389C2×C42—22no—
390C2×C42—44no—
391C2×C42C2×D411yescharacteristic
392C2×C42C2×D411yescharacteristic
393C2×C42C2×D414yes—
394C2×C42#4114yes—
395C2×C42C2411yescharacteristic
396C2×C42C2411yescharacteristic
397#107—28no—
398#107—44no—
399#106—44no—
400C4⋊C8—24no—
401C4⋊C8C2×D418yes—
402#103—28no—
403#103—28no—
404#103—44no—
405#102—28no—
406#102—44no—
407#102—44no—
408C22⋊C8—24no—
409C22⋊C8—28no—
410C22⋊C8—28no—
411C22⋊C8C2×D418yes—
412#97—24no—
413#97C2×D418yes—
414#95—24no—
415#95—24no—
416#95—22no—
417#95—22no—
418#95—22no—
419#95—22no—
420#95—22no—
421#95—22no—
422#95—22no—
423#95—22no—
424#95—22no—
425#95—22no—
426C24—22no—
427C24—22no—
428C24—22no—
429C24—22no—
430C24—22no—
431C24—22no—
432C24—41no—
433C24—41no—
434C24—41no—
435C24—41no—
436C24—41no—
437C24—41no—
438C24—41no—
439C24—41no—
440C24AGL(1,ℤ/8)14yes—
441C24C22×D412yes—
442C24C22×D412yes—
443C24C22×D411yescharacteristic
444#41—816no—
445C2×Q8—24no—
446C2×Q8—22no—
447C2×Q8—22no—
448C2×Q8—22no—
449C2×Q8—22no—
450C2×Q8—22no—
451C2×Q8—48no—
452C2×Q8—48no—
453C2×Q8—42no—
454C2×Q8—42no—
455C2×Q8—42no—
456C2×Q8—42no—
457C2×Q8—42no—
458C2×Q8H(5,𝔽2)14yes—
459C2×D4—24no—
460C2×D4—24no—
461C2×D4—24no—
462C2×D4—24no—
463C2×D4—22no—
464C2×D4—22no—
465C2×D4—24no—
466C2×D4—24no—
467C2×D4—42no—
468C2×D4—42no—
469C2×D4—416no—
470C2×D4—42no—
471C2×D4—42no—
472C2×D4—44no—
473C2×D4—44no—
474C2×D4—44no—
475C2×D4—44no—
476C2×D4—44no—
477C2×D4—44no—
478C2×D4—44no—
479C2×D4—42no—
480C2×D4—42no—
481C2×D4—81no—
482C2×D4—81no—
483C2×D4—82no—
484C2×D4—82no—
485C2×D4—82no—
486C2×D4—82no—
487C2×D4—82no—
488C2×D4—82no—
489C2×D4—82no—
490C2×D4—82no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—24no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—24no—
504C22×C4—24no—
505C22×C4—24no—
506C22×C4—24no—
507C22×C4—24no—
508C22×C4—24no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—41no—
516C22×C4—41no—
517C22×C4—41no—
518C22×C4—41no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—41no—
524C22×C4—41no—
525C22×C4—44no—
526C22×C4—44no—
527C22×C4—42no—
528C22×C4—42no—
529C22×C4—42no—
530C22×C4—42no—
531C22×C4—42no—
532C22×C4—42no—
533C22×C4—42no—
534C22×C4—42no—
535C22×C4—42no—
536C22×C4—42no—
537C22×C4—42no—
538C22×C4—44no—
539C22×C4—84no—
540C22×C4—84no—
541C22×C4—84no—
542C22×C4—84no—
543C22×C4#12114yes—
544C22×C4#12114yes—
545C22×C4C22×D412yes—
546C22×C4C22×D412yes—
547C22×C4C22×D411yescharacteristic
548C22×C4C22×D411yescharacteristic
549C22×C4C22×D411yescharacteristic
550C22×C4C22×D411yescharacteristic
551C22×C4C22×D411yescharacteristic
552C22×C4C22×D412yes—
553C22×C4C2×#4112yes—
554C22×C4C2511yescharacteristic
555SD16—416no—
556M16—88no—
557C2×C8—24no—
558C2×C8—24no—
559C2×C8—24no—
560C2×C8—24no—
561C2×C8—24no—
562C2×C8—88no—
563C2×C8C22×D418yes—
564C4⋊C4—24no—
565C4⋊C4—24no—
566C4⋊C4—22no—
567C4⋊C4—22no—
568C4⋊C4—22no—
569C4⋊C4—22no—
570C4⋊C4—24no—
571C4⋊C4—24no—
572C4⋊C4—24no—
573C4⋊C4—24no—
574C4⋊C4—48no—
575C4⋊C4—48no—
576C4⋊C4—42no—
577C4⋊C4—42no—
578C4⋊C4—42no—
579C4⋊C4—42no—
580C4⋊C4—42no—
581C4⋊C4—44no—
582C4⋊C4—44no—
583C4⋊C4—42no—
584C4⋊C4—81no—
585C4⋊C4—81no—
586C22⋊C4—24no—
587C22⋊C4—24no—
588C22⋊C4—24no—
589C22⋊C4—24no—
590C22⋊C4—48no—
591C22⋊C4—48no—
592C22⋊C4—48no—
593C22⋊C4—44no—
594C22⋊C4—44no—
595C22⋊C4—48no—
596C22⋊C4—44no—
597C22⋊C4—44no—
598C22⋊C4—44no—
599C22⋊C4—44no—
600C22⋊C4—44no—
601C22⋊C4—82no—
602C22⋊C4—82no—
603C22⋊C4—82no—
604C22⋊C4—82no—
605C42—44no—
606C42—44no—
607C42—44no—
608C42#12114yes—
609C42#12114yes—
610C42C22×D412yes—
611C42C22×D412yes—
612C42C2×#4112yes—
613C42C2×#4112yes—
614C23—21no—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—22no—
619C23—22no—
620C23—22no—
621C23—22no—
622C23—22no—
623C23—22no—
624C23—28no—
625C23—22no—
626C23—22no—
627C23—22no—
628C23—22no—
629C23—22no—
630C23—22no—
631C23—22no—
632C23—44no—
633C23—44no—
634C23—44no—
635C23—44no—
636C23—44no—
637C23—42no—
638C23—42no—
639C23—42no—
640C23—42no—
641C23—42no—
642C23—42no—
643C23—42no—
644C23—82no—
645C23—82no—
646C23—82no—
647C23—82no—
648C23—82no—
649C23—82no—
650C23—82no—
651C23—82no—
652C23C2×#12112yes—
653C23C2×AGL(1,ℤ/8)14yes—
654C23C2×AGL(1,ℤ/8)12yes—
655C23#57512yes—
656C23C23×D411yescharacteristic
657Q8—24no—
658Q8—24no—
659Q8—48no—
660Q8—42no—
661Q8—42no—
662Q8—84no—
663D4—48no—
664D4—48no—
665D4—44no—
666D4—44no—
667D4—84no—
668D4—84no—
669D4—88no—
670D4—164no—
671D4—164no—
672D4—164no—
673D4—164no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—28no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—24no—
686C2×C4—24no—
687C2×C4—22no—
688C2×C4—22no—
689C2×C4—24no—
690C2×C4—22no—
691C2×C4—22no—
692C2×C4—22no—
693C2×C4—22no—
694C2×C4—44no—
695C2×C4—48no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—44no—
699C2×C4—44no—
700C2×C4—44no—
701C2×C4—44no—
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—42no—
711C2×C4—42no—
712C2×C4—42no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—42no—
717C2×C4—42no—
718C2×C4—42no—
719C2×C4—42no—
720C2×C4—84no—
721C2×C4—84no—
722C2×C4—88no—
723C2×C4—82no—
724C2×C4—82no—
725C2×C4—84no—
726C2×C4—84no—
727C2×C4—84no—
728C2×C4C2×#12112yes—
729C2×C4C2×#12112yes—
730C2×C4C2×#12112yes—
731C2×C4C2×#12112yes—
732C2×C4C2×#12112yes—
733C2×C4C23×D411yescharacteristic
734C2×C4C22×#4111yescharacteristic
735C2×C4C2×H(5,𝔽2)12yes—
736C2×C4#58512yes—
737C8—28no—
738C8—44no—
739C22—22no—
740C22—22no—
741C22—22no—
742C22—22no—
743C22—22no—
744C22—22no—
745C22—24no—
746C22—24no—
747C22—24no—
748C22—42no—
749C22—42no—
750C22—42no—
751C22—42no—
752C22—42no—
753C22—42no—
754C22—42no—
755C22—42no—
756C22—42no—
757C22—42no—
758C22—42no—
759C22—88no—
760C22—88no—
761C22—82no—
762C22—82no—
763C22—82no—
764C22—82no—
765C22—82no—
766C22—82no—
767C22—82no—
768C22#305514yes—
769C22C22×#12111yescharacteristic
770C22#348411yescharacteristic
771C22#348511yescharacteristic
772C22C22×AGL(1,ℤ/8)11yescharacteristic
773C22C2×#57511yescharacteristic
774C22#358611yescharacteristic
775C22#358611yescharacteristic
776C4—22no—
777C4—22no—
778C4—22no—
779C4—22no—
780C4—22no—
781C4—42no—
782C4—42no—
783C4—44no—
784C4—82no—
785C4—82no—
786C4—82no—
787C4—82no—
788C4—82no—
789C4—82no—
790C4#348812yes—
791C4#349412yes—
792C2—24no—
793C2—44no—
794C2—82no—
795C2—162no—
796C2#3551411yescharacteristic
797C2C2×#305511yescharacteristic
798C2#6045511yescharacteristic
799C2#6157211yescharacteristic
800C2#6157811yescharacteristic
801C2#6170411yescharacteristic
802C2#6171111yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#35165C2
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
1. C2×#3112C2semidirect
2. C2×#2973C2semidirect
4. C2×#2536C2semidirect
5. #28236C2semidirect
6. #28154C2semidirect
7. #25402C2semidirect
8. #25352C2semidirect
9. #24558C2semidirect
10. #24550C2semidirect
11. #24387C2semidirect
12. #24381C2semidirect
13. #21986C2semidirect
14. #21865C2semidirect
15. #20740C2semidirect
24. C2×#477C22semidirect
25. C2×#468C22semidirect
26. C2×#465C22semidirect
27. C2×#460C22semidirect
30. C2×#440C22semidirect
60. #2076C22semidirect
61. #2075C22semidirect
62. #2036C22semidirect
63. #2035C22semidirect
64. #2034C22semidirect
65. #2033C22semidirect
66. #2000C22semidirect
67. #2000C22semidirect
68. #1993C22semidirect
69. #1961C22semidirect
70. #1949C22semidirect
71. #1895C22semidirect
72. #1894C22semidirect
73. #1893C22semidirect
74. #1892C22semidirect
79. #1847C22semidirect
80. #1836C22semidirect
82. #1809C22semidirect
83. #1808C22semidirect
84. #1804C22semidirect
85. #1803C22semidirect
86. #1803C22semidirect
88. #1763C22semidirect
161. #432D4semidirect

Maximal subgroups

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

subgroupindex
C2×#31122
C2×#29732
#351652
C2×#25362
#282362
#281542
#254022
#253522
#245582
#245502
#243872
#243812
#219862
#218652
#207402