Finite Group Databasebeta

← #6345376

Subgroups — #6345376

Order 512.

1714 conjugacy classes of subgroups.

The subgroup lattice has 763 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60558C211yesmaximal, characteristic
2#60287C211yesmaximal, characteristic, complemented
3#60230C211yesmaximal, characteristic, complemented
4#18048C214yesmaximal, complemented
5#18046C214yesmaximal, complemented
6#18028C214yesmaximal, complemented
7#18026C214yesmaximal, complemented
8#17946C214yesmaximal, complemented
9#17918C214yesmaximal, complemented
10#17823C211yesmaximal, characteristic, complemented
11#17499C211yesmaximal, characteristic, complemented
12#17448C211yesmaximal, characteristic, complemented
13#17339C211yesmaximal, characteristic, complemented
14#3444C2211yescharacteristic
15C22×C4×D4C2211yescharacteristic
16#3114C414yes—
17#3110C411yescharacteristic
18#3110C411yescharacteristic
19#3109C411yescharacteristic
20#3109C411yescharacteristic
21#3105C2212yes—
22#3105C2212yes—
23#3101C2212yes—
24#3100C2212yes—
25#3092C412yes—
26#3077C412yes—
27#3036C412yes—
28#3003C412yes—
29#2993—22no—
30#2993C2214yescomplemented
31#2986C2212yescomplemented
32#2979C2212yescomplemented
33#2978—22no—
34#2975C2212yes—
35#2974—22no—
36#2974C2214yes—
37#2973—21no—
38#2973—21no—
39#2972C2212yes—
40#2971—21no—
41#2971C2212yescomplemented
42#2970—21no—
43#2970C2212yescomplemented
44C4×AGL(1,ℤ/8)C2214yes—
45D4×M16—22no—
46D4×M16C2214yes—
47#2923—22no—
48#2920C2211yescharacteristic
49#2920C2211yescharacteristic
50#2920C2211yescharacteristic
51#2920C2211yescharacteristic
52#2920C2211yescharacteristic
53C2×#407—22no—
54#1594C2214yescomplemented
55#1592C2214yescomplemented
56#1590C2214yescomplemented
57#1589C2214yescomplemented
58#1588C2214yescomplemented
59#1586C2214yescomplemented
60#1586C2214yescomplemented
61#1585C2214yescomplemented
62#1583C2214yescomplemented
63#1582C2214yescomplemented
64#1581C2214yescomplemented
65#1581C2214yescomplemented
66#1580C2214yescomplemented
67SD16⋊C8C2214yescomplemented
68C8×SD16C2214yescomplemented
69C8×D8C2214yescomplemented
70#1574C2214yescomplemented
71#1572C2214yescomplemented
72#1569C2212yescomplemented
73#1569C2212yescomplemented
74#1497C2212yescomplemented
75#1496C2212yescomplemented
76#1490C2212yes—
77#1490C2212yes—
78#1489C2214yescomplemented
79#1486C2212yes—
80#1486C2212yes—
81#1482C2214yescomplemented
82#1478C2214yes—
83#1455C2214yescomplemented
84#1454C2214yescomplemented
85#1454C2214yescomplemented
86C23×D4C2×C411yescharacteristic
87C24×C4—21no—
88C2×AGL(1,ℤ/8)C2×C414yes—
89C22×M16—24no—
90#533C2×C411yescharacteristic
91#533C2×C411yescharacteristic
92#533C2311yescharacteristic
93#532C2×C411yescharacteristic
94#532C2×C411yescharacteristic
95#532C2311yescharacteristic
96#529—21no—
97#529—21no—
98#529—21no—
99#529—21no—
100#529C2×C412yes—
101#529C2312yes—
102#525—21no—
103#525—21no—
104#525C2×C412yes—
105C4×#41—21no—
106C4×#41—21no—
107C4×#41C2312yes—
108C2×C4×D4—21no—
109C2×C4×D4—21no—
110C2×C4×D4—21no—
111C2×C4×D4—21no—
112C2×C4×D4—21no—
113C2×C4×D4—21no—
114C2×C4×D4C2×C412yes—
115C2×C4×D4C2×C411yescharacteristic
116C2×C4×D4C2×C411yescharacteristic
117C2×C4×D4C2×C412yes—
118C2×C4×D4C2312yes—
119C2×C4×D4C2311yescharacteristic
120C2×C4×D4C2311yescharacteristic
121C2×C4×D4C2312yes—
122C22×C4⋊C4C2×C411yescharacteristic
123C22×C22⋊C4—21no—
124C22×C42C2311yescharacteristic
125#484C2×C412yes—
126#484C2×C412yes—
127#483C2×C414yes—
128#481C2×C412yes—
129#481C2×C412yes—
130#480C2×C414yes—
131#478C2×C414yes—
132#478C2×C414yes—
133#476C2×C412yes—
134#476C2×C412yes—
135#474C2×C412yes—
136#474C2×C412yes—
137#463C2×C414yes—
138#463C2×C414yes—
139#461C2×C412yes—
140#461C2×C412yes—
141#459C2×C412yes—
142#459C2×C412yes—
143#450C2×C414yes—
144#450C2×C412yes—
145#450C2×C412yes—
146#447C2×C414yes—
147#447C2×C412yes—
148#447C2×C412yes—
149#446—22no—
150#446C2314yescomplemented
151C8×Q8—22no—
152C8×Q8C2314yescomplemented
153#442C2×C414yes—
154#442C2×C414yes—
155#440C2×C414yes—
156#440C2×C414yes—
157C4×SD16C2314yes—
158C4×SD16C2314yes—
159C4×D8C2314yes—
160C4×D8C2314yes—
161#436—24no—
162#436—24no—
163#436—22no—
164#436—24no—
165#436C2314yes—
166#436C2314yes—
167#436C2314yescomplemented
168#435—24no—
169#435—24no—
170#435—24no—
171#435—24no—
172#435—24no—
173#435—24no—
174C8×D4—24no—
175C8×D4—22no—
176C8×D4C2314yes—
177C8×D4C2314yes—
178C8×D4C2314yescomplemented
179#433—24no—
180#433—24no—
181#432—21no—
182#432—21no—
183#432—21no—
184#432—21no—
185#432—22no—
186#432—22no—
187#432C2×C411yescharacteristic
188#432C2×C411yescharacteristic
189#432C2×C412yes—
190#432D412yes—
191#432D411yescharacteristic
192#432D411yescharacteristic
193#432C2311yescharacteristic
194#432C2311yescharacteristic
195#432C2312yes—
196#431—21no—
197#431—21no—
198#431C2312yes—
199#431C2312yes—
200#431C2312yes—
201#431C2312yes—
202#431C2312yes—
203#431C2312yes—
204#431C2312yes—
205#431C2312yes—
206#428C2×C414yes—
207#424—24no—
208#423—21no—
209#423C2×C412yes—
210#423D412yes—
211#423C2312yes—
212#423C2312yes—
213#418C2×C414yes—
214#417C2×C414yes—
215#408—24no—
216#407—21no—
217#407—21no—
218#407—21no—
219#407—24no—
220#407—22no—
221#407—22no—
222#407—24no—
223#407C2×C412yes—
224#407D412yes—
225C2×C22⋊C8—22no—
226C2×C22⋊C8—22no—
227C2×C22⋊C8—24no—
228C4×M16—21no—
229C4×M16—21no—
230C4×M16—22no—
231C4×M16C2312yes—
232C4×M16C2312yes—
233C4×M16C2312yes—
234C2×#97—22no—
235#335C2314yescomplemented
236#335C2314yescomplemented
237#334C2314yescomplemented
238#334C2314yescomplemented
239Q8⋊C8C2314yescomplemented
240Q8⋊C8C2314yescomplemented
241D4⋊C8C2314yes—
242D4⋊C8C2314yes—
243D4⋊C8C2314yes—
244D4⋊C8C2314yes—
245D4⋊C8C2314yescomplemented
246D4⋊C8C2314yescomplemented
247#322C2314yescomplemented
248#322C2314yescomplemented
249#322C2314yescomplemented
250C82C2314yescomplemented
251C25—21no—
252C2×#41—21no—
253C2×#41—21no—
254C2×#41C22×C412yes—
255C22×D4—21no—
256C22×D4—21no—
257C22×D4—21no—
258C22×D4—44no—
259C22×D4C22×C411yescharacteristic
260C22×D4C22×C412yes—
261C22×D4C22×C412yes—
262C22×D4C22×C411yescharacteristic
263C23×C4—21no—
264C23×C4—22no—
265C23×C4—22no—
266C23×C4—21no—
267C23×C4—21no—
268C23×C4—22no—
269C23×C4—21no—
270C23×C4—22no—
271C23×C4—21no—
272C23×C4—84no—
273C23×C4C22×C411yescharacteristic
274C23×C4C2×D411yescharacteristic
275C23×C4#4111yescharacteristic
276AGL(1,ℤ/8)—48no—
277C2×SD16C22×C414yes—
278C2×SD16C22×C414yes—
279C2×D8C22×C414yes—
280C2×D8C22×C414yes—
281C2×M16—22no—
282C2×M16—22no—
283C2×M16—22no—
284C2×M16—24no—
285C2×M16—24no—
286C2×M16—24no—
287C2×M16—88no—
288C2×M16C22×C414yes—
289C2×M16C2×D414yes—
290C22×C8—24no—
291C22×C8—24no—
292C22×C8—24no—
293C4⋊Q8C22×C411yescharacteristic
294C4⋊Q8C22×C411yescharacteristic
295C4⋊Q8C22×C411yescharacteristic
296#127C22×C411yescharacteristic
297#126—22no—
298#126—22no—
299#125—21no—
300#125—21no—
301#125C22×C412yes—
302#124—21no—
303#124—21no—
304#124C22×C412yes—
305#123—22no—
306#123—22no—
307#123—22no—
308C22⋊Q8—21no—
309C22⋊Q8—21no—
310C22⋊Q8—21no—
311C22⋊Q8—21no—
312C22⋊Q8C22×C412yes—
313C22⋊Q8C22×C412yes—
314#121—21no—
315#121—21no—
316#121—21no—
317#121—21no—
318#121C22×C412yes—
319#121C22×C412yes—
320#120—22no—
321C4×Q8—21no—
322C4×Q8—21no—
323C4×Q8—21no—
324C4×Q8—21no—
325C4×Q8C22×C412yes—
326C4×Q8C2412yes—
327C4×D4—22no—
328C4×D4—22no—
329C4×D4—22no—
330C4×D4—22no—
331C4×D4—22no—
332C4×D4—22no—
333C4×D4—22no—
334C4×D4—21no—
335C4×D4—22no—
336C4×D4—22no—
337C4×D4—21no—
338C4×D4—21no—
339C4×D4—21no—
340C4×D4—22no—
341C4×D4—21no—
342C4×D4—21no—
343C4×D4—21no—
344C4×D4—21no—
345C4×D4—22no—
346C4×D4—22no—
347C4×D4—21no—
348C4×D4—21no—
349C4×D4—22no—
350C4×D4—22no—
351C4×D4—21no—
352C4×D4—21no—
353C4×D4C22×C412yes—
354C4×D4C22×C412yes—
355C4×D4C22×C412yes—
356C4×D4C22×C412yes—
357C4×D4C22×C412yes—
358C4×D4C22×C412yes—
359C4×D4C22×C412yes—
360C4×D4C2412yes—
361C4×D4C2412yes—
362C4×D4C2412yes—
363#117—21no—
364#117—21no—
365#117—22no—
366#117—22no—
367#117—22no—
368#117C22×C412yes—
369C2×C4⋊C4—21no—
370C2×C4⋊C4—21no—
371C2×C4⋊C4—21no—
372C2×C4⋊C4C22×C412yes—
373C2×C4⋊C4C22×C412yes—
374C2×C4⋊C4C22×C411yescharacteristic
375C2×C4⋊C4C22×C411yescharacteristic
376C2×C22⋊C4—22no—
377C2×C22⋊C4—21no—
378C2×C22⋊C4—21no—
379C2×C22⋊C4—22no—
380C2×C22⋊C4—22no—
381C2×C22⋊C4—22no—
382C2×C22⋊C4—21no—
383C2×C22⋊C4—21no—
384C2×C42—22no—
385C2×C42C22×C411yescharacteristic
386C2×C42C22×C411yescharacteristic
387C2×C42C22×C411yescharacteristic
388C2×C42C2×D411yescharacteristic
389C2×C42C2×D411yescharacteristic
390C2×C42C2×D411yescharacteristic
391C2×C42#4111yescharacteristic
392C2×C42#4111yescharacteristic
393C2×C42#4111yescharacteristic
394C2×C42C2411yescharacteristic
395C2×C42C2411yescharacteristic
396C2×C42C2411yescharacteristic
397#107C22×C414yes—
398#107C22×C414yes—
399#106C22×C414yes—
400#106C22×C414yes—
401C4⋊C8—24no—
402C4⋊C8—24no—
403C4⋊C8—22no—
404C4⋊C8—22no—
405C4⋊C8—22no—
406C4⋊C8—22no—
407C4⋊C8C22×C412yes—
408C4⋊C8C22×C412yes—
409C4⋊C8C22×C414yes—
410C4⋊C8C2×D414yes—
411C4⋊C8C2×D412yes—
412C4⋊C8C2×D412yes—
413C4⋊C8C2412yes—
414C4⋊C8C2412yes—
415C4⋊C8C2414yes—
416#103C22×C414yes—
417#103C22×C414yes—
418#102C22×C414yes—
419#102C22×C414yes—
420#102C22×C414yes—
421#102C22×C414yes—
422#102C22×C414yes—
423#102C22×C414yes—
424C22⋊C8—22no—
425C22⋊C8—22no—
426C22⋊C8—22no—
427C22⋊C8—21no—
428C22⋊C8—21no—
429C22⋊C8—22no—
430C22⋊C8—22no—
431C22⋊C8—24no—
432C22⋊C8—24no—
433C22⋊C8—24no—
434C22⋊C8—24no—
435C22⋊C8—24no—
436C22⋊C8—24no—
437C22⋊C8C22×C414yes—
438C22⋊C8C22×C412yes—
439C22⋊C8C22×C412yes—
440C22⋊C8C2×D414yes—
441C22⋊C8C2×D412yes—
442C22⋊C8C2×D412yes—
443#97—24no—
444#97—21no—
445#97—21no—
446#97—22no—
447#97—22no—
448#97C22×C412yes—
449#97C22×C412yes—
450#97C2×D412yes—
451#97C2×D412yes—
452C4×C8—24no—
453C4×C8—22no—
454C4×C8—22no—
455C4×C8C2414yes—
456C4×C8C2414yes—
457C4×C8C2414yes—
458C24—21no—
459C24—22no—
460C24—22no—
461C24—21no—
462C24—44no—
463C24—82no—
464C24—82no—
465C24C4×D411yescharacteristic
466#41—44no—
467#41—82no—
468#41—82no—
469C2×Q8—21no—
470C2×Q8—21no—
471C2×Q8C23×C412yes—
472C2×D4—24no—
473C2×D4—24no—
474C2×D4—24no—
475C2×D4—22no—
476C2×D4—22no—
477C2×D4—22no—
478C2×D4—21no—
479C2×D4—22no—
480C2×D4—22no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—42no—
485C2×D4—42no—
486C2×D4—42no—
487C2×D4—44no—
488C2×D4—44no—
489C2×D4—44no—
490C2×D4C23×C412yes—
491C2×D4C23×C412yes—
492C2×D4C23×C412yes—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—48no—
511C22×C4—82no—
512C22×C4—82no—
513C22×C4—84no—
514C22×C4—81no—
515C22×C4—84no—
516C22×C4—82no—
517C22×C4—82no—
518C22×C4—84no—
519C22×C4—82no—
520C22×C4C4×D411yescharacteristic
521C22×C4C4×D411yescharacteristic
522C22×C4C4×D411yescharacteristic
523C22×C4C4×D411yescharacteristic
524C22×C4C4×D411yescharacteristic
525C22×C4C4×D411yescharacteristic
526C22×C4C4×D411yescharacteristic
527C22×C4C4×D411yescharacteristic
528C22×C4C4×D411yescharacteristic
529C22×C4C23×C411yescharacteristic
530C22×C4C23×C411yescharacteristic
531C22×C4C23×C411yescharacteristic
532C22×C4C22×D411yescharacteristic
533C22×C4C22×D411yescharacteristic
534C22×C4C22×D411yescharacteristic
535C22×C4C2×#4111yescharacteristic
536C22×C4C2×#4111yescharacteristic
537C22×C4C2×#4111yescharacteristic
538SD16—28no—
539SD16—44no—
540D8—28no—
541D8—44no—
542M16—44no—
543M16—44no—
544M16—44no—
545M16—84no—
546M16—84no—
547M16—84no—
548M16—82no—
549M16—82no—
550C2×C8—22no—
551C2×C8—22no—
552C2×C8—24no—
553C2×C8—24no—
554C2×C8—84no—
555C2×C8—84no—
556C2×C8—84no—
557C2×C8C23×C414yes—
558C2×C8C23×C414yes—
559C2×C8C22×D414yes—
560C2×C8C22×D414yes—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—22no—
570C4⋊C4—22no—
571C4⋊C4—22no—
572C4⋊C4—22no—
573C4⋊C4—22no—
574C4⋊C4—22no—
575C4⋊C4C23×C412yes—
576C4⋊C4C23×C412yes—
577C4⋊C4C23×C412yes—
578C4⋊C4C23×C412yes—
579C22⋊C4—22no—
580C22⋊C4—22no—
581C22⋊C4—22no—
582C22⋊C4—22no—
583C22⋊C4—22no—
584C22⋊C4—22no—
585C22⋊C4—22no—
586C22⋊C4—22no—
587C22⋊C4—22no—
588C22⋊C4—22no—
589C22⋊C4—22no—
590C22⋊C4—22no—
591C22⋊C4—22no—
592C22⋊C4—22no—
593C22⋊C4—22no—
594C22⋊C4—22no—
595C22⋊C4—22no—
596C42—22no—
597C42—22no—
598C42—22no—
599C42C4×D411yescharacteristic
600C42C4×D411yescharacteristic
601C42C4×D411yescharacteristic
602C42C4×D411yescharacteristic
603C42C4×D411yescharacteristic
604C42C4×D411yescharacteristic
605C42C23×C411yescharacteristic
606C42C23×C411yescharacteristic
607C42C23×C411yescharacteristic
608C42C22×D411yescharacteristic
609C42C22×D411yescharacteristic
610C42C22×D411yescharacteristic
611C42C2×#4111yescharacteristic
612C42C2×#4111yescharacteristic
613C42C2×#4111yescharacteristic
614C42C2511yescharacteristic
615C23—24no—
616C23—22no—
617C23—22no—
618C23—22no—
619C23—41no—
620C23—41no—
621C23—41no—
622C23—44no—
623C23—44no—
624C23—44no—
625C23—42no—
626C23—44no—
627C23—82no—
628C23—81no—
629C23—81no—
630C23—81no—
631C23—81no—
632C23—82no—
633C23—816no—
634C23C2×C4×D411yescharacteristic
635C23C2×C4×D411yescharacteristic
636C23C2×C4×D411yescharacteristic
637Q8—24no—
638Q8—42no—
639Q8—81no—
640D4—24no—
641D4—22no—
642D4—24no—
643D4—22no—
644D4—22no—
645D4—44no—
646D4—44no—
647D4—42no—
648D4—42no—
649D4—81no—
650D4—82no—
651D4—82no—
652D4—82no—
653D4#56814yes—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—44no—
678C2×C4—44no—
679C2×C4—44no—
680C2×C4—44no—
681C2×C4—44no—
682C2×C4—44no—
683C2×C4—82no—
684C2×C4—82no—
685C2×C4—82no—
686C2×C4—82no—
687C2×C4—82no—
688C2×C4—82no—
689C2×C4—82no—
690C2×C4—81no—
691C2×C4—81no—
692C2×C4C2×C4×D411yescharacteristic
693C2×C4C2×C4×D411yescharacteristic
694C2×C4C2×C4×D411yescharacteristic
695C2×C4C2×C4×D411yescharacteristic
696C2×C4C2×C4×D411yescharacteristic
697C2×C4C2×C4×D411yescharacteristic
698C2×C4C2×C4×D411yescharacteristic
699C2×C4C2×C4×D411yescharacteristic
700C2×C4C2×C4×D411yescharacteristic
701C2×C4C24×C411yescharacteristic
702C2×C4C23×D411yescharacteristic
703C2×C4C22×#4111yescharacteristic
704C8—24no—
705C8—24no—
706C8—24no—
707C8—24no—
708C8—44no—
709C8—44no—
710C8—42no—
711C8—42no—
712C22—21no—
713C22—21no—
714C22—21no—
715C22—21no—
716C22—21no—
717C22—21no—
718C22—21no—
719C22—21no—
720C22—21no—
721C22—24no—
722C22—44no—
723C22—42no—
724C22—42no—
725C22—42no—
726C22—42no—
727C22—42no—
728C22—42no—
729C22—42no—
730C22—42no—
731C22—84no—
732C22—88no—
733C22—88no—
734C22—84no—
735C22C22×C4×D411yescharacteristic
736C4—21no—
737C4—21no—
738C4—21no—
739C4—21no—
740C4—21no—
741C4—21no—
742C4—21no—
743C4—21no—
744C4—21no—
745C4—21no—
746C4—42no—
747C4—42no—
748C4—42no—
749C4—42no—
750C4—42no—
751C4C2×#56812yes—
752C4#358512yes—
753C2—41no—
754C2—41no—
755C2—41no—
756C2—44no—
757C2—82no—
758C2—82no—
759C2#6014111yescharacteristic
760C2#6016811yescharacteristic
761C2#6018211yescharacteristic
subgroupG/H
centerC2×C4C23×D4
commutatorC2×C4C24×C4
Frattini, cosocleC42C25
socleC22C22×C4×D4
prime radical#60558C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4 ◁ #2920 ◁ G
LECSG ▷ C42 ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #60287C2semidirect
3. #60230C2semidirect
4. #18048C2semidirect
5. #18046C2semidirect
6. #18028C2semidirect
7. #18026C2semidirect
8. #17946C2semidirect
9. #17918C2semidirect
10. #17823C2semidirect
11. #17499C2semidirect
12. #17448C2semidirect
13. #17339C2semidirect
30. #2993C22semidirect
31. #2986C22semidirect
32. #2979C22semidirect
41. #2971C22semidirect
43. #2970C22semidirect
54. #1594C22semidirect
55. #1592C22semidirect
56. #1590C22semidirect
57. #1589C22semidirect
58. #1588C22semidirect
59. #1586C22semidirect
60. #1586C22semidirect
61. #1585C22semidirect
62. #1583C22semidirect
63. #1582C22semidirect
64. #1581C22semidirect
65. #1581C22semidirect
66. #1580C22semidirect
67. SD16⋊C8C22semidirect
68. C8×SD16C22semidirect
69. C8×D8C22semidirect
70. #1574C22semidirect
71. #1572C22semidirect
72. #1569C22semidirect
73. #1569C22semidirect
74. #1497C22semidirect
75. #1496C22semidirect
78. #1489C22semidirect
81. #1482C22semidirect
83. #1455C22semidirect
84. #1454C22semidirect
85. #1454C22semidirect
150. #446C23semidirect
152. C8×Q8C23semidirect
167. #436C23semidirect
178. C8×D4C23semidirect
235. #335C23semidirect
236. #335C23semidirect
237. #334C23semidirect
238. #334C23semidirect
239. Q8⋊C8C23semidirect
240. Q8⋊C8C23semidirect
245. D4⋊C8C23semidirect
246. D4⋊C8C23semidirect
247. #322C23semidirect
248. #322C23semidirect
249. #322C23semidirect
250. C82C23semidirect

Maximal subgroups

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

subgroupindex
#605582
#602872
#602302
#180482
#180462
#180282
#180262
#179462
#179182
#178232
#174992
#174482
#173392