Finite Group Databasebeta

← #72225327

Subgroups — #72225327

Order 2048.

1401 conjugacy classes of subgroups.

The subgroup lattice has 802 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#72223685C211yesmaximal, characteristic, complemented
2#72223683C211yesmaximal, characteristic, complemented
3#72223681C211yesmaximal, characteristic, complemented
4#72223679C211yesmaximal, characteristic
5#72223669C212yesmaximal, complemented
6#72223659C212yesmaximal, complemented
7#72223653C212yesmaximal, complemented
8#72223646C212yesmaximal
9C4×#7333C211yesmaximal, characteristic, complemented
10#72216223C211yesmaximal, characteristic, complemented
11#72216219C211yesmaximal, characteristic, complemented
12#512778C411yescharacteristic
13#512778C2211yescharacteristic
14#512773C411yescharacteristic
15#493242C2211yescharacteristic
16#493242C2211yescharacteristic
17#493216—21no—
18C2×#12068C2212yes—
19#483589C2212yes—
20#184013—21no—
21#151999C411yescharacteristic
22#151999C2211yescharacteristic
23#151998C411yescharacteristic
24#151973C411yescharacteristic
25#151973C2211yescharacteristic
26#151971C411yescharacteristic
27#151971C2211yescharacteristic
28#151968C411yescharacteristic
29#151968C411yescharacteristic
30C4×#1398C2211yescharacteristic
31C4×#1398C2211yescharacteristic
32AGL(1,ℤ/32)C418yescomplemented
33#151105C418yescomplemented
34#151024C2212yes—
35#150074C2212yes—
36#150071C2212yes—
37C2×#7333C2212yes—
38C2×#7333C2212yes—
39#129166C2212yes—
40#129164C2212yes—
41#129090C2211yescharacteristic
42#129088C2211yescharacteristic
43#128694—22no—
44#128690—22no—
45#128537—21no—
46C4×#1336—21no—
47C4×#1313C2211yescharacteristic
48#94058C2212yes—
49#94056C2212yes—
50#94031C2212yes—
51#33981C2×C411yescharacteristic
52C2×#2179C2×C411yescharacteristic
53C2×#2179C2311yescharacteristic
54C2×#2178C2×C411yescharacteristic
55C2×#2178C2×C411yescharacteristic
56#33451C2×C411yescharacteristic
57#33451C2311yescharacteristic
58C2×#2171—22no—
59#33326—41no—
60C4×#443—21no—
61C4×#443—21no—
62#17849—22no—
63#17316—41no—
64#13658C814yescomplemented
65#13658C2×C414yes—
66#13657C814yescomplemented
67#13657C2×C414yes—
68#13656C814yescomplemented
69#13655C814yescomplemented
70#13638C2×C411yescharacteristic
71#13638C2×C411yescharacteristic
72#13636C2×C411yescharacteristic
73#13625C2×C411yescharacteristic
74#13625C2×C411yescharacteristic
75#13622C2×C411yescharacteristic
76#13622C2×C411yescharacteristic
77#13620C2×C411yescharacteristic
78#13620C2×C411yescharacteristic
79C2×#1398—21no—
80C2×#1398C2×C411yescharacteristic
81C2×#1398C2×C411yescharacteristic
82C2×#1398C2311yescharacteristic
83C2×#1398C2312yes—
84C2×#1398C2311yescharacteristic
85C4×M64—21no—
86C4×M64C2×C411yescharacteristic
87C4×M64C2×C411yescharacteristic
88#12676C2×C411yescharacteristic
89#12676C2311yescharacteristic
90#12671C2×C411yescharacteristic
91#12671C2311yescharacteristic
92#12670C2×C411yescharacteristic
93#12670C2×C411yescharacteristic
94#12665—22no—
95C4×#364—21no—
96#12642—21no—
97#12642—21no—
98#12641—21no—
99#12641—21no—
100#12640—21no—
101#12640—21no—
102#12614—42no—
103#12604—41no—
104C4×#346D411yescharacteristic
105C4×#346C2311yescharacteristic
106#12068—24no—
107#12068C2×C418yes—
108#12067C2×C414yescomplemented
109#12066C2×C414yescomplemented
110#12065—24no—
111C2×#1369C2312yes—
112#11999C2312yes—
113C2×#1336—22no—
114#11597—22no—
115C2×#1313D412yes—
116C2×#1313C2312yes—
117#8294—22no—
118#8266—21no—
119C8×#104—42no—
120#8185—41no—
121C4×#322D411yescharacteristic
122#7480C2×C411yescharacteristic
123#7480C2×C411yescharacteristic
124#7479C2×C411yescharacteristic
125#7479C2×C411yescharacteristic
126#7476C2×C411yescharacteristic
127#7475C2×C411yescharacteristic
128#7457C2×C418yescomplemented
129#7391C2×C414yescomplemented
130#7390C2×C414yescomplemented
131#7389C2×C418yes—
132#7333—24no—
133#7333C2×C418yescomplemented
134#7182—22no—
135#7177—22no—
136#7161—21no—
137#7157—21no—
138C2×#508C22×C411yescharacteristic
139C2×#508C22×C411yescharacteristic
140C2×#504—42no—
141C8×#41—42no—
142C2×#443—21no—
143C2×#443—21no—
144C2×#443—21no—
145C2×#443—21no—
146C4×#135—21no—
147C4×#135—21no—
148C4×#131—41no—
149C4×#131—41no—
150#2264C4212yes—
151#2264C2×C812yes—
152#2263C4212yes—
153#2263C2×C812yes—
154#2262C2×C814yes—
155C2×M64—22no—
156C2×M64C22×C411yescharacteristic
157C2×M64C22×C411yescharacteristic
158C2×M64C22×C411yescharacteristic
159C2×M64C22×C411yescharacteristic
160#2179—22no—
161#2179—22no—
162#2179C2×C814yes—
163#2179C22×C414yes—
164#2178—21no—
165#2178—21no—
166#2178—21no—
167#2178—21no—
168#2178C2×C812yes—
169#2178C2×C812yes—
170#2178C2×C812yescomplemented
171#2178C2×C812yescomplemented
172#2177C2×C812yescomplemented
173#2177C22×C412yes—
174#2176C2×C812yescomplemented
175#2176C22×C412yes—
176#2175—22no—
177#2175—22no—
178#2171—28no—
179#2171—44no—
180C2×#368C22×C411yescharacteristic
181C2×#368C22×C411yescharacteristic
182C2×#368C22×C411yescharacteristic
183C2×#368C22×C411yescharacteristic
184#2158C22×C411yescharacteristic
185#2158C22×C411yescharacteristic
186C2×#364—22no—
187C2×#359—21no—
188C2×#359—21no—
189C2×#359—21no—
190C2×#359—21no—
191#2138—21no—
192#2138—21no—
193C2×#350—42no—
194#2108—42no—
195#2108—82no—
196C4×M32—41no—
197C4×M32—81no—
198C2×#346—21no—
199C2×#346—81no—
200C2×#346C22×C411yescharacteristic
201C2×#346C2×D411yescharacteristic
202C2×#346C2×D412yes—
203C2×#346#4111yescharacteristic
204C2×#346C2411yescharacteristic
205C2×C4×C16—21no—
206C2×C4×C16C22×C411yescharacteristic
207C2×C4×C16#4111yescharacteristic
208C4×#108—21no—
209C4×#108—21no—
210#1772—21no—
211#1772—21no—
212#1772—21no—
213#1772—21no—
214#1764—41no—
215#1764—41no—
216#1764—41no—
217#1764—41no—
218C4×#104—41no—
219C4×#104—41no—
220C42×C8—21no—
221C42×C8C2×D411yescharacteristic
222#1580—24no—
223#1579—24no—
224SD16⋊C8—44no—
225#1564—22no—
226#1476—42no—
227#1450—41no—
228#1450—81no—
229C8×M16—42no—
230C8×M16—82no—
231C2×#322—21no—
232C2×#322—81no—
233C2×#322C2×D412yes—
234#1426C4214yes—
235#1426C2×C814yescomplemented
236#1425C2×C814yescomplemented
237#1420C4212yes—
238#1420C2×C812yescomplemented
239#1419C4212yes—
240#1419C2×C812yescomplemented
241#1418C4214yes—
242#1418C2×C814yes—
243#1417C2×C814yes—
244#1417C2×C814yescomplemented
245#1398—22no—
246#1398—22no—
247#1398—22no—
248#1398—42no—
249#1398C2×C814yescomplemented
250#1398C22×C414yes—
251#1398C22×C414yes—
252#1397—21no—
253#1397—41no—
254#1397C2×C812yescomplemented
255C4×C32—21no—
256C4×C32—41no—
257C4×C32C2×C812yescomplemented
258#1382—21no—
259#1382—21no—
260#1382—21no—
261#1382—21no—
262#1381—21no—
263#1381—21no—
264#1379—42no—
265#1376—41no—
266#1369—22no—
267#1369C22×C414yes—
268#1368—22no—
269#1368C22×C414yes—
270#1336—28no—
271#1334—24no—
272#1333—24no—
273#1313—42no—
274#1313C22×C414yes—
275#1313#4114yes—
276#1278—42no—
277#1276—41no—
278C2×#135—21no—
279C2×#135—21no—
280C2×#131—41no—
281C2×#131—41no—
282C2×#131—41no—
283C2×#131—41no—
284C4×#41—41no—
285C4×#41—41no—
286#508—21no—
287#508—21no—
288#508—21no—
289#508—21no—
290#508C2×C4212yes—
291#508C22×C812yes—
292#508C22×C812yes—
293#508C22×C812yes—
294C2×Q32C2×C4211yescharacteristic
295C2×Q32C22×C811yescharacteristic
296C2×SD32—21no—
297C2×SD32—21no—
298C2×D16C2×C4211yescharacteristic
299C2×D16C22×C811yescharacteristic
300#504—48no—
301#504—84no—
302C2×M32—42no—
303C2×M32—82no—
304C22×C16—22no—
305C22×C16—82no—
306C22×C16C4×D411yescharacteristic
307C22×C16C4×D411yescharacteristic
308C22×C16C23×C411yescharacteristic
309C22×C16C2×#4111yescharacteristic
310C8×Q8—44no—
311#443—24no—
312#443—22no—
313#443—22no—
314#443—22no—
315#443—22no—
316#443—24no—
317#443—42no—
318#443—41no—
319#443—41no—
320#443—41no—
321#443—41no—
322#443—42no—
323C4×Q16—22no—
324C4×Q16—22no—
325C4×SD16—42no—
326C4×SD16—42no—
327C4×D8—22no—
328C4×D8—22no—
329C8×D4—44no—
330C8×D4—84no—
331#431—42no—
332#431—82no—
333C2×#108—21no—
334C2×#108—21no—
335C2×#108—21no—
336C2×#108—21no—
337#427—21no—
338#427—21no—
339C2×#104—41no—
340C2×#104—41no—
341C2×#104—41no—
342C2×#104—41no—
343#416—41no—
344#416—41no—
345#405—41no—
346#405—41no—
347#405—41no—
348#405—41no—
349#405—81no—
350#405—81no—
351#405—81no—
352#405—81no—
353C4×M16—41no—
354C4×M16—41no—
355C4×M16—81no—
356C4×M16—81no—
357C2×C4×C8—22no—
358C2×C4×C8—81no—
359C2×C4×C8—81no—
360C2×C4×C8—82no—
361C2×C4×C8—81no—
362C2×C4×C8C4×D411yescharacteristic
363C2×C4×C8C4×D411yescharacteristic
364C2×C4×C8AGL(1,ℤ/8)11yescharacteristic
365C2×C4×C8AGL(1,ℤ/8)11yescharacteristic
366C2×C4×C8AGL(1,ℤ/8)11yescharacteristic
367C2×C4×C8C22×D411yescharacteristic
368C43AGL(1,ℤ/8)11yescharacteristic
369Q64C4×C814yescomplemented
370SD64C4×C814yescomplemented
371SD64C4×C814yescomplemented
372D32C4×C814yescomplemented
373M64—21no—
374M64—21no—
375M64—21no—
376M64—21no—
377M64—24no—
378M64—42no—
379M64C2×C4212yes—
380M64C2×C4212yes—
381M64C22×C812yes—
382M64C22×C812yes—
383C2×C32—21no—
384C2×C32—21no—
385C2×C32—42no—
386C2×C32C22×C812yes—
387C2×C32C22×C812yes—
388#368—21no—
389#368—21no—
390#368—21no—
391#368—21no—
392#368C2×C4212yes—
393#368C22×C812yes—
394#368C22×C812yes—
395#368C22×C812yes—
396#367C2×C4212yes—
397#367C22×C812yes—
398#366—21no—
399#366—21no—
400#364—24no—
401#364—42no—
402#359—24no—
403#359—22no—
404#359—22no—
405#359—22no—
406#359—22no—
407#359—24no—
408#358—22no—
409#358—22no—
410#357—22no—
411#357—22no—
412#350—48no—
413#346—22no—
414#346—22no—
415#346—22no—
416#346—41no—
417#346—41no—
418#346—81no—
419#346—82no—
420#346C4×D414yes—
421#346C22×C812yes—
422#346#13112yes—
423#346C23×C412yes—
424#346C2×#4112yes—
425C4×C16—21no—
426C4×C16—21no—
427C4×C16—81no—
428C4×C16—81no—
429C4×C16—82no—
430C4×C16C22×C811yescharacteristic
431C4×C16C22×C811yescharacteristic
432C4×C16#13111yescharacteristic
433C4×C16#13111yescharacteristic
434#341—41no—
435#341—41no—
436#339—41no—
437#339—41no—
438#339—41no—
439#339—41no—
440#335—42no—
441#334—24no—
442Q8⋊C8—44no—
443D4⋊C8—44no—
444#322—22no—
445#322—41no—
446#322—41no—
447#322—81no—
448#322—82no—
449#322C4×D414yes—
450C82—81no—
451C82—82no—
452C2×#41—41no—
453C2×#41—41no—
454#135—22no—
455#135—22no—
456#135—22no—
457#135—22no—
458#135—41no—
459#135—41no—
460#135—41no—
461#135—41no—
462C2×Q16—21no—
463C2×Q16—21no—
464C2×SD16—41no—
465C2×SD16—41no—
466C2×D8—21no—
467C2×D8—21no—
468#131—44no—
469#131—42no—
470#131—42no—
471#131—42no—
472#131—42no—
473#131—44no—
474#131—82no—
475#131—82no—
476#131—81no—
477#131—81no—
478#131—81no—
479#131—81no—
480C2×M16—41no—
481C2×M16—41no—
482C2×M16—41no—
483C2×M16—41no—
484C2×M16—81no—
485C2×M16—81no—
486C2×M16—81no—
487C2×M16—81no—
488C22×C8—42no—
489C22×C8—81no—
490C22×C8—81no—
491C22×C8—84no—
492C22×C8—81no—
493C22×C8—81no—
494C22×C8#44211yescharacteristic
495C22×C8#44211yescharacteristic
496C22×C8C2×C4×D411yescharacteristic
497C22×C8C2×AGL(1,ℤ/8)11yescharacteristic
498C4×Q8—42no—
499C4×Q8—42no—
500C4×D4—42no—
501C4×D4—42no—
502C4×D4—82no—
503C4×D4—82no—
504#117—41no—
505#117—41no—
506#117—81no—
507#117—81no—
508C2×C42—41no—
509C2×C42—81no—
510C2×C42—81no—
511C2×C42#44211yescharacteristic
512C2×C42#44211yescharacteristic
513C2×C42C2×AGL(1,ℤ/8)11yescharacteristic
514Q32—21no—
515Q32—21no—
516Q32C2×C4×C812yes—
517Q32C2×C4×C812yes—
518SD32—22no—
519SD32—22no—
520SD32—22no—
521SD32—22no—
522D16—21no—
523D16—21no—
524D16C2×C4×C812yes—
525D16C2×C4×C812yes—
526M32—44no—
527M32—88no—
528M32—82no—
529C2×C16—21no—
530C2×C16—21no—
531C2×C16—21no—
532C2×C16—21no—
533C2×C16—21no—
534C2×C16—21no—
535C2×C16—24no—
536C2×C16—42no—
537C2×C16—42no—
538C2×C16—88no—
539C2×C16—82no—
540C2×C16C8×D411yescharacteristic
541C2×C16C8×D411yescharacteristic
542C2×C16C8×D412yes—
543C2×C16C22×C4211yescharacteristic
544C2×C16C4×#4112yes—
545C2×C16C4×#4111yescharacteristic
546C2×C16C23×C811yescharacteristic
547C2×C16C23×C811yescharacteristic
548C2×C16C2×#13111yescharacteristic
549C2×C16C2×#13111yescharacteristic
550#108—22no—
551#108—22no—
552#108—22no—
553#108—22no—
554#108—41no—
555#108—41no—
556#108—41no—
557#108—41no—
558#107—22no—
559#107—22no—
560#106—41no—
561#106—41no—
562C4⋊C8—44no—
563C4⋊C8—84no—
564#104—42no—
565#104—42no—
566#104—42no—
567#104—42no—
568#104—44no—
569#104—44no—
570#103—42no—
571#103—42no—
572#102—42no—
573#102—42no—
574C22⋊C8—84no—
575C22⋊C8—82no—
576#97—81no—
577#97—81no—
578#97—81no—
579#97—81no—
580#97—81no—
581#97—81no—
582C4×C8—21no—
583C4×C8—21no—
584C4×C8—21no—
585C4×C8—21no—
586C4×C8—24no—
587C4×C8—41no—
588C4×C8—42no—
589C4×C8—81no—
590C4×C8—82no—
591C4×C8—81no—
592C4×C8—81no—
593C4×C8—81no—
594C4×C8—84no—
595C4×C8—81no—
596C4×C8—81no—
597C4×C8—162no—
598C4×C8C8×D411yescharacteristic
599C4×C8C8×D411yescharacteristic
600C4×C8C8×D412yes—
601C4×C8#44411yescharacteristic
602C4×C8#44411yescharacteristic
603C4×C8#44412yes—
604C4×C8C2×C4×D412yes—
605C4×C8#57512yes—
606C32—22no—
607C32—22no—
608C32—22no—
609C32—44no—
610C32C2×C4×C814yes—
611#41—42no—
612#41—42no—
613#41—42no—
614#41—42no—
615#41—81no—
616#41—81no—
617#41—81no—
618#41—81no—
619C2×Q8—41no—
620C2×Q8—41no—
621C2×D4—41no—
622C2×D4—41no—
623C2×D4—81no—
624C2×D4—81no—
625C22×C4—21no—
626C22×C4—21no—
627C22×C4—21no—
628C22×C4—82no—
629C22×C4—82no—
630C22×C4—81no—
631C22×C4—81no—
632C22×C4C2×#44211yescharacteristic
633Q16—22no—
634Q16—22no—
635Q16—41no—
636Q16—41no—
637SD16—42no—
638SD16—42no—
639SD16—42no—
640SD16—42no—
641D8—22no—
642D8—22no—
643D8—41no—
644D8—41no—
645M16—42no—
646M16—42no—
647M16—42no—
648M16—42no—
649M16—84no—
650M16—84no—
651M16—81no—
652M16—81no—
653M16—81no—
654M16—81no—
655M16—82no—
656M16—82no—
657M16—82no—
658M16—82no—
659C2×C8—21no—
660C2×C8—21no—
661C2×C8—21no—
662C2×C8—21no—
663C2×C8—44no—
664C2×C8—84no—
665C2×C8—84no—
666C2×C8—81no—
667C2×C8—81no—
668C2×C8—81no—
669C2×C8—81no—
670C2×C8—82no—
671C2×C8—82no—
672C2×C8—82no—
673C2×C8—82no—
674C2×C8—84no—
675C2×C8—162no—
676C2×C8—324no—
677C2×C8#158012yes—
678C2×C8#158011yescharacteristic
679C2×C8#158011yescharacteristic
680C2×C8AGL(1,ℤ/16)11yescharacteristic
681C2×C8AGL(1,ℤ/16)11yescharacteristic
682C2×C8AGL(1,ℤ/16)11yescharacteristic
683C2×C8AGL(1,ℤ/16)11yescharacteristic
684C2×C8C42×D411yescharacteristic
685C2×C8C2×C8×D411yescharacteristic
686C2×C8C2×C8×D411yescharacteristic
687C2×C8#294311yescharacteristic
688C2×C8C4×AGL(1,ℤ/8)12yes—
689C2×C8C2×#44411yescharacteristic
690C2×C8C2×#44411yescharacteristic
691C4⋊C4—42no—
692C4⋊C4—42no—
693C4⋊C4—82no—
694C4⋊C4—82no—
695C22⋊C4—82no—
696C22⋊C4—82no—
697C22⋊C4—81no—
698C22⋊C4—81no—
699C42—21no—
700C42—21no—
701C42—21no—
702C42—82no—
703C42—82no—
704C42—82no—
705C42—81no—
706C42—81no—
707C42#158011yescharacteristic
708C42#158011yescharacteristic
709C42#158012yes—
710C42C4×AGL(1,ℤ/8)12yes—
711C16—22no—
712C16—22no—
713C16—21no—
714C16—21no—
715C16—44no—
716C16—84no—
717C16C22×C4×C811yescharacteristic
718C16C4×#13111yescharacteristic
719C16C8×#4111yescharacteristic
720C16C8×#4111yescharacteristic
721C23—81no—
722C23—81no—
723C23#3346811yescharacteristic
724Q8—42no—
725Q8—42no—
726Q8—81no—
727Q8—81no—
728D4—42no—
729D4—42no—
730D4—82no—
731D4—82no—
732D4—82no—
733D4—82no—
734D4—81no—
735D4—81no—
736C2×C4—21no—
737C2×C4—21no—
738C2×C4—22no—
739C2×C4—22no—
740C2×C4—42no—
741C2×C4—81no—
742C2×C4—81no—
743C2×C4—81no—
744C2×C4—81no—
745C2×C4—82no—
746C2×C4—82no—
747C2×C4—82no—
748C2×C4—82no—
749C2×C4—82no—
750C2×C4—82no—
751C2×C4—164no—
752C2×C4—322no—
753C2×C4C2×#158011yescharacteristic
754C2×C4C2×#158011yescharacteristic
755C2×C4C4×#44211yescharacteristic
756C2×C4C2×AGL(1,ℤ/16)11yescharacteristic
757C2×C4C2×AGL(1,ℤ/16)11yescharacteristic
758C2×C4#3346811yescharacteristic
759C8—22no—
760C8—22no—
761C8—84no—
762C8—82no—
763C8—82no—
764C8—82no—
765C8—82no—
766C8—164no—
767C8#1206711yescharacteristic
768C8#1206711yescharacteristic
769C8#1206711yescharacteristic
770C8#1206711yescharacteristic
771C8#1784911yescharacteristic
772C8#1784911yescharacteristic
773C8C4×C8×D411yescharacteristic
774C8C4×#44411yescharacteristic
775C22—41no—
776C22—82no—
777C22—82no—
778C22—162no—
779C22—162no—
780C22#48358911yescharacteristic
781C22#48359011yescharacteristic
782C22C4×AGL(1,ℤ/16)11yescharacteristic
783C4—22no—
784C4—42no—
785C4—41no—
786C4—42no—
787C4—82no—
788C4—82no—
789C4—162no—
790C4—162no—
791C4C4×#158011yescharacteristic
792C4C2×#1206711yescharacteristic
793C4#48359011yescharacteristic
794C4C4×AGL(1,ℤ/16)11yescharacteristic
795C2—21no—
796C2—21no—
797C2—21no—
798C2—162no—
799C2—162no—
800C2C4×#1206711yescharacteristic
subgroupG/H
centerC4C2×#12067
commutatorC16C22×C4×C8
Frattini, cosocleC2×#346C24
socleC2C4×#12067
prime radical#33981C2×C4
LCSG ▷ C16 ▷ C8 ▷ C4 ▷ C2 ▷ C1
UCSC1 ◁ C4 ◁ C22×C8 ◁ C42×C8 ◁ C4×#1313 ◁ G
LECSG ▷ C2×#346 ▷ C2×C8 ▷ C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #72223685C2semidirect
2. #72223683C2semidirect
3. #72223681C2semidirect
5. #72223669C2semidirect
6. #72223659C2semidirect
7. #72223653C2semidirect
9. C4×#7333C2semidirect
10. #72216223C2semidirect
11. #72216219C2semidirect
32. AGL(1,ℤ/32)C4semidirect
33. #151105C4semidirect
64. #13658C8semidirect
66. #13657C8semidirect
68. #13656C8semidirect
69. #13655C8semidirect
108. #12067C2×C4semidirect
109. #12066C2×C4semidirect
128. #7457C2×C4semidirect
129. #7391C2×C4semidirect
130. #7390C2×C4semidirect
133. #7333C2×C4semidirect
170. #2178C2×C8semidirect
171. #2178C2×C8semidirect
172. #2177C2×C8semidirect
174. #2176C2×C8semidirect
235. #1426C2×C8semidirect
236. #1425C2×C8semidirect
238. #1420C2×C8semidirect
240. #1419C2×C8semidirect
244. #1417C2×C8semidirect
249. #1398C2×C8semidirect
254. #1397C2×C8semidirect
257. C4×C32C2×C8semidirect
369. Q64C4×C8semidirect
370. SD64C4×C8semidirect
371. SD64C4×C8semidirect
372. D32C4×C8semidirect

Maximal subgroups

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

subgroupindex
#722236852
#722236832
#722236812
#722236792
#722236692
#722236592
#722236532
#722236462
C4×#73332
#722162232
#722162192