Finite Group Databasebeta

← #6496440

Subgroups — #6496440

Order 512.

2356 conjugacy classes of subgroups.

The subgroup lattice has 806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3226C211yesmaximal, characteristic, complemented
2C2×#2920C211yesmaximal, characteristic, complemented
3#36624C211yesmaximal, characteristic
4C2×#2857C211yesmaximal, characteristic, complemented
5#33212C212yesmaximal, complemented
6#33048C212yesmaximal, complemented
7#29878C212yesmaximal, complemented
8#29843C212yesmaximal, complemented
9#24844C214yesmaximal, complemented
10#24709C214yesmaximal, complemented
11#24608C214yesmaximal, complemented
12#24558C214yesmaximal, complemented
13#21981C211yesmaximal, characteristic, complemented
14#21859C211yesmaximal, characteristic, complemented
15#21833C211yesmaximal, characteristic, complemented
16C2×#532C2211yescharacteristic
17C22×C4⋊Q8C2211yescharacteristic
18C2×#525—21no—
19C22×C22⋊Q8—21no—
20C23×C42C2211yescharacteristic
21#3226—28no—
22C2×#500C2212yescomplemented
23C2×#486C2212yescomplemented
24C2×#480C2214yes—
25C2×#474C2214yescomplemented
26#2920—28no—
27C2×#432C2212yes—
28C2×#432C2212yes—
29C2×#431C2211yescharacteristic
30C2×#431C2212yes—
31C2×#431C2211yescharacteristic
32C2×#423C2212yes—
33C2×#407C2212yes—
34C2×C4×M16C2212yes—
35#2857—21no—
36#2857—21no—
37#2857—21no—
38#2857—21no—
39#2857C2212yes—
40#2857C2212yes—
41#2857C2212yes—
42#2857C2212yes—
43#2857C2211yescharacteristic
44#2857C2211yescharacteristic
45#2856C2211yescharacteristic
46#2856C2211yescharacteristic
47#2854—21no—
48#2854C2212yes—
49#2850—21no—
50#2850—21no—
51#2847—21no—
52#2847C2212yes—
53C4×#121—21no—
54C4×#121—21no—
55C4×#121C2212yes—
56C4×#121C2212yes—
57#2297—21no—
58C2×#391—21no—
59C2×#389—21no—
60C2×#389C2212yes—
61#2285C2211yescharacteristic
62C2×#384C2211yescharacteristic
63C2×#380—21no—
64C2×#380C2212yes—
65#2087C2218yescomplemented
66#2076C2218yes—
67#2065C2218yescomplemented
68#2034C2218yes—
69#1990C2212yescomplemented
70#1990C2212yescomplemented
71#1990C2212yescomplemented
72#1988C2214yescomplemented
73#1957C2212yescomplemented
74#1948C2214yescomplemented
75#1944C2218yescomplemented
76#1936C2218yescomplemented
77#1895C2218yes—
78#1874C2214yes—
79#1853C2214yes—
80#1844C2212yescomplemented
81#1834C2212yescomplemented
82#1823C2214yes—
83#1809C2218yes—
84#1802C2214yescomplemented
85C22×#41—21no—
86C23×Q8—21no—
87C24×C4D411yescharacteristic
88C24×C4D411yescharacteristic
89C24×C4C2311yescharacteristic
90C22×M16C2314yes—
91#532—24no—
92#532—24no—
93C2×C4⋊Q8—21no—
94C2×C4⋊Q8—21no—
95C2×C4⋊Q8—24no—
96C2×C4⋊Q8—24no—
97C2×C4⋊Q8C2312yes—
98C2×C4⋊Q8C2311yescharacteristic
99C2×C4⋊Q8C2312yes—
100C2×#127C2311yescharacteristic
101C2×#124—21no—
102#525—48no—
103C2×#123—22no—
104C2×C22⋊Q8—21no—
105C2×C22⋊Q8—21no—
106C2×C22⋊Q8—22no—
107C2×C22⋊Q8—22no—
108C2×C22⋊Q8—22no—
109C2×C22⋊Q8—22no—
110C2×C22⋊Q8—48no—
111C2×#121—21no—
112C2×#121—21no—
113C2×#121—21no—
114C2×#121—21no—
115C2×#121—21no—
116C2×#121C2312yes—
117C2×#121C2312yes—
118C2×#121C2312yes—
119C2×#120—22no—
120C2×C4×D4—22no—
121C2×C4×D4—22no—
122C2×C4×D4—21no—
123C2×C4×D4C2312yes—
124C2×#117—21no—
125C22×C4⋊C4—21no—
126C22×C4⋊C4—22no—
127C22×C4⋊C4—21no—
128C22×C4⋊C4—21no—
129C22×C4⋊C4C2312yes—
130C22×C4⋊C4C2312yes—
131C22×C22⋊C4—22no—
132C22×C42—24no—
133C22×C42—24no—
134C22×C42D411yescharacteristic
135C22×C42D411yescharacteristic
136C22×C42D411yescharacteristic
137C22×C42D411yescharacteristic
138C22×C42D411yescharacteristic
139C22×C42D411yescharacteristic
140C22×C42C2311yescharacteristic
141C22×C42C2311yescharacteristic
142C22×C42C2311yescharacteristic
143C22×C42C2311yescharacteristic
144C22×C42C2311yescharacteristic
145C22×C42C2311yescharacteristic
146#500—28no—
147#486—28no—
148#480—216no—
149#474—216no—
150#432—28no—
151#432—28no—
152#431—24no—
153#431—28no—
154#431D418yescomplemented
155C2×#107C2318yes—
156C2×#106C2318yes—
157#423—28no—
158C2×C4⋊C8C2312yes—
159C2×C4⋊C8C2314yes—
160C2×C4⋊C8C2312yes—
161C2×#102C2318yes—
162C2×#102C2318yes—
163#407—28no—
164C2×C22⋊C8C2314yes—
165C2×C22⋊C8C2312yes—
166C2×C22⋊C8C2312yes—
167C4×M16—28no—
168C2×#97C2314yes—
169C2×C4×C8C2312yes—
170C2×C4×C8C2312yes—
171#391—21no—
172#391—21no—
173#391—22no—
174#391—22no—
175#391—22no—
176#391—22no—
177#390—21no—
178#390—21no—
179#390—21no—
180#390—21no—
181#390C2312yes—
182#390C2312yes—
183#389—21no—
184#389—21no—
185#389—22no—
186#389—22no—
187#389—22no—
188#389—22no—
189#389—22no—
190#389—22no—
191#389C2314yes—
192#389C2312yes—
193#389C2312yes—
194#389C2314yes—
195#388—22no—
196#388—22no—
197#388—22no—
198#388—22no—
199#386—22no—
200#386—22no—
201#386—22no—
202#386—22no—
203#386—22no—
204#386—22no—
205#384—21no—
206#384—21no—
207#384C2312yes—
208#384C2311yescharacteristic
209#384C2311yescharacteristic
210#384C2312yes—
211#382—21no—
212#380—21no—
213#380—21no—
214#380—21no—
215#380—22no—
216#380—22no—
217#380—22no—
218#380—22no—
219#380—22no—
220#380—22no—
221#380C2312yes—
222#380C2314yes—
223#380C2312yes—
224#380C2314yes—
225#380C2312yes—
226C4×C4⋊C4—21no—
227C4×C4⋊C4C2312yes—
228C4×C22⋊C4—22no—
229C4×C22⋊C4—22no—
230C2×#95—22no—
231C2×#95—22no—
232#340C2318yes—
233#340C2318yes—
234#340C2318yes—
235#340C2318yes—
236C25C2×D411yescharacteristic
237C2×#41—44no—
238C2×#41—44no—
239C2×#41—44no—
240C22×Q8—21no—
241C22×Q8—22no—
242C22×Q8—22no—
243C22×Q8—44no—
244C22×Q8—44no—
245C22×Q8—44no—
246C22×D4—22no—
247C22×D4—22no—
248C22×D4—22no—
249C22×D4—21no—
250C22×D4—21no—
251C22×D4C2412yes—
252C23×C4—24no—
253C23×C4—24no—
254C23×C4—24no—
255C23×C4—24no—
256C23×C4—24no—
257C23×C4—22no—
258C23×C4—22no—
259C23×C4—24no—
260C23×C4—22no—
261C23×C4—22no—
262C23×C4—22no—
263C23×C4—42no—
264C23×C4—42no—
265C23×C4C2×D411yescharacteristic
266C23×C4C2×D411yescharacteristic
267C23×C4C2×D411yescharacteristic
268C23×C4C2×D411yescharacteristic
269C23×C4C2×D411yescharacteristic
270C23×C4C2×D411yescharacteristic
271C23×C4C2×D411yescharacteristic
272C23×C4C2×D411yescharacteristic
273C23×C4C2×D411yescharacteristic
274C23×C4C2×D411yescharacteristic
275C23×C4C2×D411yescharacteristic
276C23×C4C2×D411yescharacteristic
277C23×C4C2×D411yescharacteristic
278C23×C4C2×D411yescharacteristic
279C23×C4C2×D411yescharacteristic
280C23×C4C2411yescharacteristic
281C23×C4C2411yescharacteristic
282C23×C4C2411yescharacteristic
283C2×M16—28no—
284C2×M16—28no—
285C2×M16—44no—
286C22×C8C2414yes—
287C22×C8C2414yes—
288C4⋊Q8—24no—
289C4⋊Q8—24no—
290C4⋊Q8—22no—
291C4⋊Q8—24no—
292C4⋊Q8—24no—
293C4⋊Q8—22no—
294C4⋊Q8—44no—
295C4⋊Q8—44no—
296#127—22no—
297#127—22no—
298#124—44no—
299#123—48no—
300C22⋊Q8—48no—
301C22⋊Q8—48no—
302C22⋊Q8—48no—
303C22⋊Q8—48no—
304C22⋊Q8—44no—
305C22⋊Q8—44no—
306#121—24no—
307#121—24no—
308#121—28no—
309#121—44no—
310#121—44no—
311#121—44no—
312#121—44no—
313#121—44no—
314#121—44no—
315#120—48no—
316C4×D4—24no—
317C4×D4—24no—
318C4×D4—48no—
319C4×D4—48no—
320C4×D4—44no—
321#117—44no—
322C2×C4⋊C4—24no—
323C2×C4⋊C4—24no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—24no—
327C2×C4⋊C4—24no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—22no—
330C2×C4⋊C4—22no—
331C2×C4⋊C4—22no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—22no—
338C2×C4⋊C4—22no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—21no—
341C2×C4⋊C4—44no—
342C2×C4⋊C4—44no—
343C2×C4⋊C4—48no—
344C2×C4⋊C4—44no—
345C2×C4⋊C4—44no—
346C2×C4⋊C4C2414yes—
347C2×C4⋊C4C2414yes—
348C2×C4⋊C4C2412yes—
349C2×C4⋊C4C2412yes—
350C2×C4⋊C4C2412yes—
351C2×C22⋊C4—24no—
352C2×C22⋊C4—24no—
353C2×C22⋊C4—22no—
354C2×C22⋊C4—22no—
355C2×C22⋊C4—22no—
356C2×C22⋊C4—22no—
357C2×C22⋊C4—22no—
358C2×C22⋊C4—22no—
359C2×C22⋊C4—22no—
360C2×C22⋊C4—22no—
361C2×C22⋊C4—22no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—22no—
364C2×C22⋊C4—48no—
365C2×C42—24no—
366C2×C42—24no—
367C2×C42—22no—
368C2×C42—22no—
369C2×C42—24no—
370C2×C42—24no—
371C2×C42—24no—
372C2×C42—24no—
373C2×C42—22no—
374C2×C42—22no—
375C2×C42—22no—
376C2×C42—22no—
377C2×C42—22no—
378C2×C42—22no—
379C2×C42—22no—
380C2×C42—22no—
381C2×C42—22no—
382C2×C42C2×D411yescharacteristic
383C2×C42C2×D411yescharacteristic
384C2×C42C2×D411yescharacteristic
385C2×C42C2×D411yescharacteristic
386C2×C42C2×D411yescharacteristic
387C2×C42C2×D411yescharacteristic
388C2×C42C2×D411yescharacteristic
389C2×C42C2×D411yescharacteristic
390C2×C42C2×D411yescharacteristic
391C2×C42C2×D411yescharacteristic
392C2×C42C2×D411yescharacteristic
393C2×C42C2×D411yescharacteristic
394C2×C42C2×D414yes—
395C2×C42#4114yes—
396C2×C42C2411yescharacteristic
397C2×C42C2411yescharacteristic
398C2×C42C2411yescharacteristic
399C2×C42C2411yescharacteristic
400#107—216no—
401#106—48no—
402C4⋊C8—28no—
403C4⋊C8—24no—
404C4⋊C8C2×D418yes—
405#102—216no—
406#102—48no—
407C22⋊C8—24no—
408C22⋊C8—28no—
409C22⋊C8C2×D418yes—
410#97—28no—
411C4×C8—24no—
412C4×C8C2×D418yes—
413#95—24no—
414#95—24no—
415#95—24no—
416#95—24no—
417#95—22no—
418#95—22no—
419#95—22no—
420#95—22no—
421#95—22no—
422#95—22no—
423C24—22no—
424C24—22no—
425C24—22no—
426C24—22no—
427C24—22no—
428C24—22no—
429C24—41no—
430C24—41no—
431C24C22×D411yescharacteristic
432C24C22×D411yescharacteristic
433C24C22×D411yescharacteristic
434#41—816no—
435C2×Q8—42no—
436C2×Q8—44no—
437C2×Q8—44no—
438C2×Q8—44no—
439C2×Q8—44no—
440C2×Q8—42no—
441C2×Q8—44no—
442C2×Q8—44no—
443C2×Q8—42no—
444C2×Q8—816no—
445C2×D4—22no—
446C2×D4—22no—
447C2×D4—24no—
448C2×D4—24no—
449C2×D4—44no—
450C2×D4—44no—
451C2×D4—44no—
452C2×D4—44no—
453C2×D4—44no—
454C2×D4—44no—
455C2×D4—44no—
456C2×D4—44no—
457C2×D4—44no—
458C2×D4—42no—
459C2×D4—42no—
460C2×D4—42no—
461C2×D4—42no—
462C2×D4—42no—
463C2×D4—42no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
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—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—24no—
511C22×C4—24no—
512C22×C4—41no—
513C22×C4—41no—
514C22×C4—41no—
515C22×C4—41no—
516C22×C4—41no—
517C22×C4—41no—
518C22×C4—48no—
519C22×C4—48no—
520C22×C4—416no—
521C22×C4—416no—
522C22×C4—44no—
523C22×C4—44no—
524C22×C4—44no—
525C22×C4—44no—
526C22×C4—44no—
527C22×C4—44no—
528C22×C4—44no—
529C22×C4—44no—
530C22×C4—44no—
531C22×C4#12114yes—
532C22×C4#12114yes—
533C22×C4AGL(1,ℤ/8)14yes—
534C22×C4AGL(1,ℤ/8)14yes—
535C22×C4#13714yes—
536C22×C4C22×D411yescharacteristic
537C22×C4C22×D411yescharacteristic
538C22×C4C22×D411yescharacteristic
539C22×C4C22×D411yescharacteristic
540C22×C4C22×D411yescharacteristic
541C22×C4C22×D411yescharacteristic
542C22×C4C22×D412yes—
543C22×C4C22×D411yescharacteristic
544C22×C4C22×D411yescharacteristic
545C22×C4C22×D411yescharacteristic
546C22×C4C22×D411yescharacteristic
547C22×C4C22×D411yescharacteristic
548C22×C4C2×#4112yes—
549C22×C42−1+414yes—
550C22×C4C2511yescharacteristic
551M16—416no—
552C2×C8—24no—
553C2×C8—24no—
554C2×C8—24no—
555C2×C8—24no—
556C2×C8—24no—
557C2×C8C22×D418yes—
558C4⋊C4—24no—
559C4⋊C4—22no—
560C4⋊C4—24no—
561C4⋊C4—22no—
562C4⋊C4—24no—
563C4⋊C4—28no—
564C4⋊C4—24no—
565C4⋊C4—44no—
566C4⋊C4—44no—
567C4⋊C4—48no—
568C4⋊C4—48no—
569C4⋊C4—44no—
570C4⋊C4—44no—
571C4⋊C4—44no—
572C4⋊C4—44no—
573C4⋊C4—44no—
574C4⋊C4—42no—
575C4⋊C4—44no—
576C4⋊C4—44no—
577C4⋊C4—42no—
578C4⋊C4—42no—
579C4⋊C4—42no—
580C4⋊C4—44no—
581C4⋊C4—42no—
582C22⋊C4—44no—
583C22⋊C4—44no—
584C22⋊C4—44no—
585C22⋊C4—44no—
586C22⋊C4—48no—
587C22⋊C4—48no—
588C22⋊C4—44no—
589C22⋊C4—44no—
590C22⋊C4—44no—
591C22⋊C4—44no—
592C22⋊C4—44no—
593C22⋊C4—44no—
594C22⋊C4—44no—
595C42—22no—
596C42—22no—
597C42—22no—
598C42—22no—
599C42—22no—
600C42—22no—
601C42—22no—
602C42—22no—
603C42—22no—
604C42—22no—
605C42—21no—
606C42—21no—
607C42—21no—
608C42—21no—
609C42—44no—
610C42#12114yes—
611C42#12114yes—
612C42C22×D412yes—
613C42C22×D412yes—
614C42C2×#4112yes—
615C42C2×#4112yes—
616C23—21no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—28no—
621C23—21no—
622C23—21no—
623C23—21no—
624C23—21no—
625C23—21no—
626C23—21no—
627C23—21no—
628C23—21no—
629C23—21no—
630C23—21no—
631C23—21no—
632C23—21no—
633C23—44no—
634C23—44no—
635C23—44no—
636C23—44no—
637C23—44no—
638C23—44no—
639C23—42no—
640C23—42no—
641C23—42no—
642C23—42no—
643C23—42no—
644C23—42no—
645C23—42no—
646C23C2×#12112yes—
647C23#53612yes—
648C23C2×AGL(1,ℤ/8)12yes—
649C23C2×AGL(1,ℤ/8)12yes—
650C23C2×#13712yes—
651C23C23×D411yescharacteristic
652Q8—88no—
653Q8—88no—
654Q8—84no—
655D4—44no—
656D4—44no—
657D4—88no—
658D4—88no—
659D4—88no—
660D4—84no—
661D4—84no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—24no—
671C2×C4—24no—
672C2×C4—24no—
673C2×C4—24no—
674C2×C4—28no—
675C2×C4—28no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—21no—
688C2×C4—44no—
689C2×C4—44no—
690C2×C4—44no—
691C2×C4—44no—
692C2×C4—44no—
693C2×C4—44no—
694C2×C4—44no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—44no—
698C2×C4—44no—
699C2×C4—44no—
700C2×C4—44no—
701C2×C4—44no—
702C2×C4—42no—
703C2×C4—44no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—44no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—44no—
710C2×C4—42no—
711C2×C4—44no—
712C2×C4—42no—
713C2×C4—44no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—44no—
717C2×C4—88no—
718C2×C4—88no—
719C2×C4—88no—
720C2×C4#469116yes—
721C2×C4C2×#12112yes—
722C2×C4C2×#12112yes—
723C2×C4C2×#12112yes—
724C2×C4C2×#12112yes—
725C2×C4C2×#12112yes—
726C2×C4#53612yes—
727C2×C4C2×AGL(1,ℤ/8)12yes—
728C2×C4C2×AGL(1,ℤ/8)12yes—
729C2×C4C2×AGL(1,ℤ/8)12yes—
730C2×C4C2×AGL(1,ℤ/8)12yes—
731C2×C4C2×#13712yes—
732C2×C4C2×#13712yes—
733C2×C4#57512yes—
734C2×C4C23×D411yescharacteristic
735C2×C4C22×#4111yescharacteristic
736C2×C4C2×2−1+412yes—
737C2×C4#58512yes—
738C8—28no—
739C8—44no—
740C22—22no—
741C22—22no—
742C22—22no—
743C22—22no—
744C22—22no—
745C22—22no—
746C22—22no—
747C22—22no—
748C22—22no—
749C22—22no—
750C22—22no—
751C22—22no—
752C22—416no—
753C22—41no—
754C22—41no—
755C22—41no—
756C22—41no—
757C22—41no—
758C22—41no—
759C22—41no—
760C22—41no—
761C22—82no—
762C22—82no—
763C22—82no—
764C22—82no—
765C22—82no—
766C22—82no—
767C22—82no—
768C22C2×#46914yes—
769C22C22×#12111yescharacteristic
770C22C2×#53611yescharacteristic
771C22#344911yescharacteristic
772C22C22×AGL(1,ℤ/8)11yescharacteristic
773C22C22×AGL(1,ℤ/8)11yescharacteristic
774C22C22×#13711yescharacteristic
775C22C2×#57511yescharacteristic
776C4—22no—
777C4—22no—
778C4—22no—
779C4—22no—
780C4—41no—
781C4—41no—
782C4—41no—
783C4—41no—
784C4—82no—
785C4—84no—
786C4—84no—
787C4—82no—
788C4—82no—
789C4C2×#46914yes—
790C4C2×#46914yes—
791C4#305614yes—
792C4#348912yes—
793C4#349512yes—
794C2—24no—
795C2—42no—
796C2—42no—
797C2—162no—
798C2#3530611yescharacteristic
799C2C22×#46911yescharacteristic
800C2C2×#305611yescharacteristic
801C2#6086011yescharacteristic
802C2#6086411yescharacteristic
803C2#6096511yescharacteristic
804C2#6096911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36624C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C23×C42 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3226C2semidirect
2. C2×#2920C2semidirect
4. C2×#2857C2semidirect
5. #33212C2semidirect
6. #33048C2semidirect
7. #29878C2semidirect
8. #29843C2semidirect
9. #24844C2semidirect
10. #24709C2semidirect
11. #24608C2semidirect
12. #24558C2semidirect
13. #21981C2semidirect
14. #21859C2semidirect
15. #21833C2semidirect
22. C2×#500C22semidirect
23. C2×#486C22semidirect
25. C2×#474C22semidirect
65. #2087C22semidirect
67. #2065C22semidirect
69. #1990C22semidirect
70. #1990C22semidirect
71. #1990C22semidirect
72. #1988C22semidirect
73. #1957C22semidirect
74. #1948C22semidirect
75. #1944C22semidirect
76. #1936C22semidirect
80. #1844C22semidirect
81. #1834C22semidirect
84. #1802C22semidirect
154. #431D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32262
C2×#29202
#366242
C2×#28572
#332122
#330482
#298782
#298432
#248442
#247092
#246082
#245582
#219812
#218592
#218332