Finite Group Databasebeta

← #6345762

Subgroups — #6345762

Order 512.

1632 conjugacy classes of subgroups.

The subgroup lattice has 778 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60700C211yesmaximal, characteristic
2#60285C211yesmaximal, characteristic, complemented
3#60232C211yesmaximal, characteristic, complemented
4#18082C214yesmaximal, complemented
5#18080C214yesmaximal, complemented
6#18048C214yesmaximal, complemented
7#18046C214yesmaximal, complemented
8#17990C212yesmaximal, complemented
9#17989C212yesmaximal, complemented
10#17971C212yesmaximal, complemented
11#17970C212yesmaximal, complemented
12#17797C211yesmaximal, characteristic, complemented
13#17499C211yesmaximal, characteristic, complemented
14#17495C211yesmaximal, characteristic, complemented
15#17334C211yesmaximal, characteristic, complemented
16#3444C2211yescharacteristic
17C2×#532C2211yescharacteristic
18#3184C411yescharacteristic
19#3184C411yescharacteristic
20#3182C411yescharacteristic
21#3182C411yescharacteristic
22#3180C414yes—
23#3171C2214yes—
24#3169C2211yescharacteristic
25#3169C2211yescharacteristic
26#3167C2211yescharacteristic
27#3167C2211yescharacteristic
28#3165C411yescharacteristic
29#3151C411yescharacteristic
30#3141C411yescharacteristic
31#3138C411yescharacteristic
32#3055C414yes—
33#2995—22no—
34#2994C2214yescomplemented
35#2985C2212yescomplemented
36#2981—22no—
37#2981C2212yes—
38#2981C2212yes—
39#2981C2212yescomplemented
40#2980—22no—
41#2979C2214yes—
42#2976—22no—
43#2971C2212yes—
44#2970—22no—
45#2970C2212yes—
46C4×AGL(1,ℤ/8)C2214yes—
47D4×M16—22no—
48D4×M16C2212yes—
49D4×M16C2212yes—
50#2923—22no—
51#2920C2211yescharacteristic
52#2920C2211yescharacteristic
53#2920C2211yescharacteristic
54C2×#432C2211yescharacteristic
55#2879—22no—
56C2×C4×M16C2211yescharacteristic
57#1594C2214yescomplemented
58#1592C2214yescomplemented
59#1590C2214yescomplemented
60#1589C2214yescomplemented
61#1588C2214yescomplemented
62#1586C2214yescomplemented
63#1586C2214yescomplemented
64#1585C2214yescomplemented
65#1583C2214yescomplemented
66#1582C2214yescomplemented
67#1581C2214yescomplemented
68#1581C2214yescomplemented
69#1580C2214yescomplemented
70SD16⋊C8C2214yescomplemented
71C8×SD16C2214yescomplemented
72C8×D8C2214yescomplemented
73#1569C2214yes—
74#1568C2212yescomplemented
75#1568C2212yescomplemented
76#1565C2214yescomplemented
77#1497C2212yescomplemented
78#1496C2212yes—
79#1496C2212yes—
80#1496C2212yescomplemented
81#1490C2214yes—
82#1489C2214yes—
83#1482C2212yescomplemented
84#1482C2212yescomplemented
85#1480C2212yes—
86#1480C2212yes—
87#1455C2212yes—
88#1455C2212yes—
89#1453C2212yescomplemented
90#1453C2212yescomplemented
91#1452C2212yescomplemented
92#1450C2212yescomplemented
93C22×#41—21no—
94C2×AGL(1,ℤ/8)C2×C414yes—
95C22×M16—22no—
96C22×M16—22no—
97C22×M16C2×C412yes—
98#533C2×C411yescharacteristic
99#533C2×C411yescharacteristic
100#533C2311yescharacteristic
101#532—21no—
102#532—21no—
103#532—21no—
104#532—21no—
105#532C2×C411yescharacteristic
106#532C2×C412yes—
107#532C2×C411yescharacteristic
108#532C2×C411yescharacteristic
109#532C2×C411yescharacteristic
110#532C2311yescharacteristic
111#532C2311yescharacteristic
112#532C2311yescharacteristic
113#532C2312yes—
114C2×C4⋊Q8C2×C411yescharacteristic
115C2×#127C2×C411yescharacteristic
116#529—21no—
117#529—21no—
118#529—21no—
119#529—21no—
120#529C2×C412yes—
121#529C2312yes—
122C2×#124—21no—
123#525—21no—
124#525—21no—
125#525C2×C412yes—
126C2×#121—21no—
127C2×#121C2×C412yes—
128C4×#41—21no—
129C4×#41—21no—
130C4×#41C2312yes—
131C2×C4×D4—21no—
132C2×C4×D4C2312yes—
133C22×C42C2311yescharacteristic
134#501C2×C414yes—
135#500C2×C411yescharacteristic
136#500C2×C411yescharacteristic
137#498C2×C411yescharacteristic
138#498C2×C411yescharacteristic
139#496C2×C414yes—
140#493C2×C411yescharacteristic
141#493C2×C411yescharacteristic
142#492C2×C411yescharacteristic
143#492C2×C411yescharacteristic
144#490C2×C414yes—
145#489C2×C414yes—
146#487C2×C411yescharacteristic
147#487C2×C411yescharacteristic
148#486C2×C411yescharacteristic
149#486C2×C411yescharacteristic
150#486C2×C411yescharacteristic
151#486C2×C411yescharacteristic
152#486C2×C411yescharacteristic
153#486C2×C411yescharacteristic
154#469C2×C414yes—
155#469C2×C414yes—
156#468C2×C414yes—
157#468C2×C414yes—
158#466C2×C414yes—
159#466C2×C414yes—
160#465C2×C414yes—
161#465C2×C414yes—
162#446—24no—
163#446C2314yes—
164C8×Q8C2314yes—
165#442C2×C414yes—
166#442C2×C414yes—
167#440C2×C414yes—
168#440C2×C414yes—
169C4×SD16C2314yes—
170C4×SD16C2314yes—
171C4×D8C2314yes—
172C4×D8C2314yes—
173#436—24no—
174#436—24no—
175#436C2314yes—
176#436C2314yes—
177#436C2314yes—
178#435—24no—
179#435—24no—
180#435—24no—
181#435—24no—
182#435—24no—
183#435—24no—
184#435—24no—
185C8×D4—24no—
186C8×D4—24no—
187C8×D4C2314yes—
188C8×D4C2314yes—
189C8×D4C2314yes—
190#433—24no—
191#433—24no—
192#432—21no—
193#432—21no—
194#432—21no—
195#432—21no—
196#432—21no—
197#432—22no—
198#432—22no—
199#432D412yes—
200#432D412yes—
201#432C2312yes—
202#432C2312yes—
203#432C2312yes—
204#431—21no—
205#431C2312yes—
206#431C2312yes—
207#431C2311yescharacteristic
208#431C2311yescharacteristic
209#431C2312yes—
210#431C2312yes—
211#428C2×C414yes—
212#424—24no—
213#423—21no—
214#423D412yes—
215#423C2312yes—
216C2×C4⋊C8C2312yes—
217#418C2×C414yes—
218#417C2×C414yes—
219#408—24no—
220#408—24no—
221#408—24no—
222#408—24no—
223#408—24no—
224#407—21no—
225#407—21no—
226#407—22no—
227#407—22no—
228#407D412yes—
229C2×C22⋊C8—21no—
230C4×M16—21no—
231C4×M16—22no—
232C4×M16C2×C411yescharacteristic
233C4×M16C2×C411yescharacteristic
234C4×M16C2×C411yescharacteristic
235C4×M16C2×C411yescharacteristic
236C4×M16C2312yes—
237C4×M16C2312yes—
238C4×M16C2312yes—
239C4×M16C2311yescharacteristic
240C4×M16C2311yescharacteristic
241C2×#97—21no—
242C2×#97—22no—
243C2×#97C2×C412yes—
244C2×C4×C8C2311yescharacteristic
245C2×C4×C8C2311yescharacteristic
246#335C2314yes—
247#335C2314yes—
248#334C2314yes—
249#334C2314yes—
250Q8⋊C8C2314yes—
251Q8⋊C8C2314yes—
252D4⋊C8C2314yes—
253D4⋊C8C2314yes—
254D4⋊C8C2314yes—
255D4⋊C8C2314yes—
256D4⋊C8C2314yes—
257D4⋊C8C2314yes—
258#322C2312yes—
259#322C2312yes—
260#322C2312yes—
261#322C2312yes—
262#322C2312yes—
263#322C2312yes—
264C82C2312yes—
265C82C2312yes—
266C2×#41—21no—
267C2×#41—21no—
268C2×#41—21no—
269C2×#41—22no—
270C2×#41—21no—
271C2×#41—21no—
272C2×#41—21no—
273C2×#41—22no—
274C2×#41—84no—
275C2×#41C22×C412yes—
276C22×Q8—21no—
277C22×D4—22no—
278C22×D4—21no—
279C22×D4—21no—
280C22×D4C22×C412yes—
281C23×C4—22no—
282C23×C4C22×C411yescharacteristic
283C23×C4C2×D411yescharacteristic
284C23×C4#4111yescharacteristic
285AGL(1,ℤ/8)—48no—
286C2×SD16C22×C414yes—
287C2×SD16C22×C414yes—
288C2×D8C22×C414yes—
289C2×D8C22×C414yes—
290C2×M16—22no—
291C2×M16—22no—
292C2×M16—24no—
293C2×M16—24no—
294C2×M16—24no—
295C2×M16—44no—
296C2×M16—84no—
297C2×M16—84no—
298C2×M16C22×C412yes—
299C2×M16C22×C412yes—
300C2×M16C22×C412yes—
301C2×M16C22×C412yes—
302C2×M16C2×D412yes—
303C2×M16C2×D412yes—
304C22×C8—22no—
305C22×C8—24no—
306C22×C8—24no—
307C22×C8—24no—
308C22×C8C22×C412yes—
309C22×C8C22×C412yes—
310C4⋊Q8—21no—
311C4⋊Q8—21no—
312C4⋊Q8C22×C411yescharacteristic
313C4⋊Q8C22×C411yescharacteristic
314C4⋊Q8C22×C411yescharacteristic
315C4⋊Q8C22×C412yes—
316C4⋊Q8C22×C411yescharacteristic
317C4⋊Q8C22×C411yescharacteristic
318#127—21no—
319#127—21no—
320#127C22×C411yescharacteristic
321#127C22×C411yescharacteristic
322#127C22×C412yes—
323#127C22×C411yescharacteristic
324#126—22no—
325#126—22no—
326#125—21no—
327#125—21no—
328#125C22×C412yes—
329#124—22no—
330#124—21no—
331#124—21no—
332#124—21no—
333#124—21no—
334#124—21no—
335#124—22no—
336#124—21no—
337#124C22×C412yes—
338#123—22no—
339#123—22no—
340#123—22no—
341C22⋊Q8—21no—
342C22⋊Q8—21no—
343C22⋊Q8—21no—
344C22⋊Q8—21no—
345C22⋊Q8C22×C412yes—
346C22⋊Q8C22×C412yes—
347#121—21no—
348#121—21no—
349#121—22no—
350#121—22no—
351#121—22no—
352#121—21no—
353#121—21no—
354#121—21no—
355#121—21no—
356#121—21no—
357#121—22no—
358#121—21no—
359#121C22×C412yes—
360#121C22×C412yes—
361#121C22×C412yes—
362#121C22×C412yes—
363#121C22×C412yes—
364#121C22×C412yes—
365#120—22no—
366C4×Q8—21no—
367C4×Q8—21no—
368C4×Q8—21no—
369C4×Q8—21no—
370C4×Q8C22×C412yes—
371C4×Q8C2412yes—
372C4×D4—22no—
373C4×D4—22no—
374C4×D4—22no—
375C4×D4—22no—
376C4×D4—22no—
377C4×D4—22no—
378C4×D4—21no—
379C4×D4—21no—
380C4×D4—22no—
381C4×D4—21no—
382C4×D4—21no—
383C4×D4—21no—
384C4×D4—22no—
385C4×D4—21no—
386C4×D4—21no—
387C4×D4—22no—
388C4×D4—21no—
389C4×D4—22no—
390C4×D4C22×C412yes—
391C4×D4C22×C412yes—
392C4×D4C22×C412yes—
393C4×D4C2412yes—
394C4×D4C2412yes—
395C4×D4C2412yes—
396#117—21no—
397#117—21no—
398#117—22no—
399#117—22no—
400#117—22no—
401#117C22×C412yes—
402C2×C4⋊C4—21no—
403C2×C4⋊C4C22×C412yes—
404C2×C22⋊C4—22no—
405C2×C22⋊C4—22no—
406C2×C42—22no—
407C2×C42C22×C411yescharacteristic
408C2×C42C22×C411yescharacteristic
409C2×C42C22×C411yescharacteristic
410C2×C42C2×D411yescharacteristic
411C2×C42C2×D411yescharacteristic
412C2×C42C2×D411yescharacteristic
413C2×C42#4111yescharacteristic
414C2×C42#4111yescharacteristic
415C2×C42#4111yescharacteristic
416C2×C42C2411yescharacteristic
417C2×C42C2411yescharacteristic
418C2×C42C2411yescharacteristic
419#107C22×C414yes—
420#107C22×C414yes—
421#106C22×C414yes—
422#106C22×C414yes—
423C4⋊C8—24no—
424C4⋊C8—24no—
425C4⋊C8—22no—
426C4⋊C8—22no—
427C4⋊C8—22no—
428C4⋊C8—21no—
429C4⋊C8—21no—
430C4⋊C8C2×D414yes—
431C4⋊C8C2×D414yes—
432C4⋊C8C2414yes—
433C4⋊C8C2414yes—
434#103C22×C414yes—
435#103C22×C414yes—
436#102C22×C414yes—
437#102C22×C414yes—
438#102C22×C414yes—
439#102C22×C414yes—
440#102C22×C414yes—
441#102C22×C414yes—
442C22⋊C8—22no—
443C22⋊C8—22no—
444C22⋊C8—22no—
445C22⋊C8—22no—
446C22⋊C8—22no—
447C22⋊C8—21no—
448C22⋊C8—21no—
449C22⋊C8—24no—
450C22⋊C8—24no—
451C22⋊C8—24no—
452C22⋊C8—24no—
453C22⋊C8—24no—
454C22⋊C8—24no—
455C22⋊C8C2×D414yes—
456C22⋊C8C2×D414yes—
457#97—24no—
458#97—22no—
459#97—22no—
460#97—22no—
461#97—22no—
462#97C22×C412yes—
463#97C22×C412yes—
464#97C22×C412yes—
465#97C22×C412yes—
466#97C2×D412yes—
467#97C2×D412yes—
468C4×C8—24no—
469C4×C8—22no—
470C4×C8C22×C411yescharacteristic
471C4×C8C22×C411yescharacteristic
472C4×C8C22×C411yescharacteristic
473C4×C8C22×C411yescharacteristic
474C4×C8C2412yes—
475C4×C8C2412yes—
476C4×C8C2412yes—
477C4×C8C2412yes—
478C4×C8C2412yes—
479C4×C8C2412yes—
480C24—22no—
481C24C4×D411yescharacteristic
482#41—44no—
483#41—82no—
484#41—82no—
485#41—82no—
486#41—82no—
487#41—82no—
488#41—82no—
489#41—82no—
490#41—84no—
491#41—82no—
492C2×Q8—21no—
493C2×Q8—21no—
494C2×Q8—22no—
495C2×Q8—21no—
496C2×Q8—21no—
497C2×Q8—82no—
498C2×Q8C23×C412yes—
499C2×D4—22no—
500C2×D4—22no—
501C2×D4—22no—
502C2×D4—22no—
503C2×D4—22no—
504C2×D4—22no—
505C2×D4—22no—
506C2×D4—22no—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—22no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—22no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—44no—
516C2×D4—82no—
517C2×D4—82no—
518C2×D4—84no—
519C2×D4C23×C412yes—
520C2×D4C23×C412yes—
521C2×D4C23×C412yes—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—42no—
531C22×C4—42no—
532C22×C4—44no—
533C22×C4—44no—
534C22×C4—81no—
535C22×C4C4×D411yescharacteristic
536C22×C4C4×D411yescharacteristic
537C22×C4C4×D411yescharacteristic
538C22×C4C4×D411yescharacteristic
539C22×C4C4×D411yescharacteristic
540C22×C4C4×D411yescharacteristic
541C22×C4C4×D411yescharacteristic
542C22×C4C4×D411yescharacteristic
543C22×C4C4×D411yescharacteristic
544C22×C4C23×C411yescharacteristic
545C22×C4C23×C411yescharacteristic
546C22×C4C23×C411yescharacteristic
547C22×C4C22×D411yescharacteristic
548C22×C4C22×D411yescharacteristic
549C22×C4C22×D411yescharacteristic
550C22×C4C2×#4111yescharacteristic
551C22×C4C2×#4111yescharacteristic
552C22×C4C2×#4111yescharacteristic
553SD16—28no—
554SD16—44no—
555D8—28no—
556D8—44no—
557M16—24no—
558M16—24no—
559M16—42no—
560M16—42no—
561M16—42no—
562M16—42no—
563M16—44no—
564M16—84no—
565M16—84no—
566M16—84no—
567M16—82no—
568C2×C8—24no—
569C2×C8—24no—
570C2×C8—24no—
571C2×C8—22no—
572C2×C8—22no—
573C2×C8—42no—
574C2×C8—84no—
575C2×C8—84no—
576C2×C8—84no—
577C2×C8—82no—
578C2×C8C23×C412yes—
579C2×C8C23×C412yes—
580C2×C8C23×C412yes—
581C2×C8C23×C412yes—
582C2×C8C22×D414yes—
583C2×C8C22×D414yes—
584C4⋊C4—22no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—22no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4—22no—
593C4⋊C4—22no—
594C4⋊C4—22no—
595C4⋊C4—22no—
596C4⋊C4—22no—
597C4⋊C4—22no—
598C4⋊C4C23×C412yes—
599C4⋊C4C23×C412yes—
600C4⋊C4C23×C412yes—
601C4⋊C4C23×C412yes—
602C22⋊C4—22no—
603C22⋊C4—22no—
604C22⋊C4—22no—
605C22⋊C4—22no—
606C22⋊C4—22no—
607C22⋊C4—22no—
608C22⋊C4—22no—
609C22⋊C4—22no—
610C22⋊C4—22no—
611C22⋊C4—22no—
612C22⋊C4—22no—
613C22⋊C4—22no—
614C22⋊C4—22no—
615C22⋊C4—22no—
616C22⋊C4—22no—
617C22⋊C4—22no—
618C22⋊C4—22no—
619C42—22no—
620C42—22no—
621C42—22no—
622C42C4×D411yescharacteristic
623C42C4×D411yescharacteristic
624C42C4×D411yescharacteristic
625C42C4×D411yescharacteristic
626C42C4×D411yescharacteristic
627C42C4×D411yescharacteristic
628C42C23×C411yescharacteristic
629C42C23×C411yescharacteristic
630C42C23×C411yescharacteristic
631C42C22×D411yescharacteristic
632C42C22×D411yescharacteristic
633C42C22×D411yescharacteristic
634C42C2×#4111yescharacteristic
635C42C2×#4111yescharacteristic
636C42C2×#4111yescharacteristic
637C42C2511yescharacteristic
638C23—22no—
639C23—22no—
640C23—22no—
641C23—41no—
642C23—41no—
643C23—41no—
644C23—44no—
645C23—82no—
646C23—82no—
647C23C2×C4×D411yescharacteristic
648C23C2×C4×D411yescharacteristic
649C23C2×C4×D411yescharacteristic
650Q8—24no—
651Q8—81no—
652Q8—81no—
653Q8—82no—
654Q8—81no—
655Q8—81no—
656D4—24no—
657D4—24no—
658D4—24no—
659D4—44no—
660D4—44no—
661D4—82no—
662D4—81no—
663D4—81no—
664D4—81no—
665D4—81no—
666D4—82no—
667D4—81no—
668D4—81no—
669D4—82no—
670D4—82no—
671D4—82no—
672D4—82no—
673D4—82no—
674D4—82no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—22no—
685C2×C4—22no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—41no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—41no—
696C2×C4—41no—
697C2×C4—41no—
698C2×C4—44no—
699C2×C4—44no—
700C2×C4—44no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—44no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—82no—
707C2×C4—82no—
708C2×C4C2×C4×D411yescharacteristic
709C2×C4C2×C4×D411yescharacteristic
710C2×C4C2×C4×D411yescharacteristic
711C2×C4C2×C4×D411yescharacteristic
712C2×C4C2×C4×D411yescharacteristic
713C2×C4C2×C4×D411yescharacteristic
714C2×C4C2×C4×D411yescharacteristic
715C2×C4C2×C4×D411yescharacteristic
716C2×C4C2×C4×D411yescharacteristic
717C2×C4C24×C411yescharacteristic
718C2×C4C23×D411yescharacteristic
719C2×C4C22×#4111yescharacteristic
720C8—24no—
721C8—24no—
722C8—22no—
723C8—22no—
724C8—22no—
725C8—42no—
726C8—42no—
727C8—44no—
728C8—44no—
729C8#56814yes—
730C22—21no—
731C22—21no—
732C22—21no—
733C22—21no—
734C22—21no—
735C22—21no—
736C22—21no—
737C22—21no—
738C22—21no—
739C22—42no—
740C22—42no—
741C22—42no—
742C22—42no—
743C22—42no—
744C22—42no—
745C22—42no—
746C22—42no—
747C22—42no—
748C22—82no—
749C22—164no—
750C22C22×C4×D411yescharacteristic
751C4—21no—
752C4—21no—
753C4—21no—
754C4—21no—
755C4—21no—
756C4—21no—
757C4—21no—
758C4—21no—
759C4—21no—
760C4—21no—
761C4—42no—
762C4—42no—
763C4—42no—
764C4—42no—
765C4—42no—
766C4C2×#56812yes—
767C4#358512yes—
768C2—41no—
769C2—41no—
770C2—41no—
771C2—82no—
772C2—82no—
773C2—82no—
774C2#6014411yescharacteristic
775C2#6016811yescharacteristic
776C2#6018211yescharacteristic
subgroupG/H
centerC2×C4C23×D4
commutatorC2×C4C24×C4
Frattini, cosocleC42C25
socleC22C22×C4×D4
prime radical#60700C2
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. #60285C2semidirect
3. #60232C2semidirect
4. #18082C2semidirect
5. #18080C2semidirect
6. #18048C2semidirect
7. #18046C2semidirect
8. #17990C2semidirect
9. #17989C2semidirect
10. #17971C2semidirect
11. #17970C2semidirect
12. #17797C2semidirect
13. #17499C2semidirect
14. #17495C2semidirect
15. #17334C2semidirect
34. #2994C22semidirect
35. #2985C22semidirect
39. #2981C22semidirect
57. #1594C22semidirect
58. #1592C22semidirect
59. #1590C22semidirect
60. #1589C22semidirect
61. #1588C22semidirect
62. #1586C22semidirect
63. #1586C22semidirect
64. #1585C22semidirect
65. #1583C22semidirect
66. #1582C22semidirect
67. #1581C22semidirect
68. #1581C22semidirect
69. #1580C22semidirect
70. SD16⋊C8C22semidirect
71. C8×SD16C22semidirect
72. C8×D8C22semidirect
74. #1568C22semidirect
75. #1568C22semidirect
76. #1565C22semidirect
77. #1497C22semidirect
80. #1496C22semidirect
83. #1482C22semidirect
84. #1482C22semidirect
89. #1453C22semidirect
90. #1453C22semidirect
91. #1452C22semidirect
92. #1450C22semidirect

Maximal subgroups

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

subgroupindex
#607002
#602852
#602322
#180822
#180802
#180482
#180462
#179902
#179892
#179712
#179702
#177972
#174992
#174952
#173342