Finite Group Databasebeta

← #7685122

Subgroups — #7685122

Order 512.

7346 conjugacy classes of subgroups.

The subgroup lattice has 1552 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3516C211yesmaximal, characteristic, complemented
2C2×#3482C211yesmaximal, characteristic, complemented
3#59444C213yesmaximal, complemented
4#59059C213yesmaximal, complemented
5#59058C213yesmaximal, complemented
6#59054C213yesmaximal, complemented
7#59052C213yesmaximal, complemented
8#45356C213yesmaximal, complemented
9#45217C213yesmaximal, complemented
10#44980C213yesmaximal, complemented
11#44882C213yesmaximal, complemented
12#39740C213yesmaximal, complemented
13#39131C213yesmaximal, complemented
14#37774C213yesmaximal, complemented
15#37773C213yesmaximal, complemented
16Q8×#121C211yesmaximal, characteristic, complemented
17#36504C213yesmaximal, complemented
18#36465C211yesmaximal, characteristic, complemented
19#36434C211yesmaximal, characteristic, complemented
20#36434C211yesmaximal, characteristic, complemented
21#36430C211yesmaximal, characteristic, complemented
22#36136C213yesmaximal, complemented
23#35927C211yesmaximal, characteristic, complemented
24#35927C211yesmaximal, characteristic, complemented
25#35831C211yesmaximal, characteristic, complemented
26#35700C211yesmaximal, characteristic, complemented
27#34727C213yesmaximal, complemented
28#34336C211yesmaximal, characteristic, complemented
29#34294C211yesmaximal, characteristic, complemented
30#34293C211yesmaximal, characteristic, complemented
31C4×D4×Q8C211yesmaximal, characteristic, complemented
32#3516—216no—
33#3482—216no—
34C2×#557C2211yescharacteristic
35C2×#556C2213yes—
36C2×#556C2213yes—
37C2×#554C2213yes—
38C2×#553C2213yes—
39C2×#552C2213yes—
40C2×#552C2213yes—
41C2×#552C2213yes—
42C2×#550C2211yescharacteristic
43C2×D4×Q8C2211yescharacteristic
44C2×D4×Q8C2211yescharacteristic
45C2×D4×Q8C2211yescharacteristic
46C2×D4×Q8C2211yescharacteristic
47C2×D4×Q8C2211yescharacteristic
48C2×D4×Q8C2211yescharacteristic
49C2×#548C2211yescharacteristic
50C2×#548C2211yescharacteristic
51C2×#548C2211yescharacteristic
52C2×#548C2211yescharacteristic
53C2×#548C2211yescharacteristic
54C2×#548C2211yescharacteristic
55C2×#548C2211yescharacteristic
56C2×#548C2211yescharacteristic
57C2×#547C2213yes—
58C2×#542C2213yes—
59C2×#541C2213yes—
60C2×#533C2213yes—
61C2×#529C2213yes—
62C2×#529C2213yes—
63C2×#529C2213yes—
64C2×#529C2213yes—
65C2×#520C2211yescharacteristic
66C2×#519C2211yescharacteristic
67C2×C4×#41C2211yescharacteristic
68C2×C4×#41C2213yes—
69C22×C4×Q8C2211yescharacteristic
70C22×C4×Q8C2211yescharacteristic
71C22×C4×Q8C2211yescharacteristic
72#2858C2213yes—
73#2857C2213yes—
74#2850C2213yes—
75#2850C2213yes—
76#2850C2213yes—
77#2732C2216yes—
78#2732C2216yes—
79#2732C2216yes—
80#2730C2216yes—
81#2727C2216yes—
82#2727C2216yes—
83#2721C2216yes—
84#2721C2216yes—
85#2714C2216yes—
86#2705C2216yes—
87#2694C2216yes—
88#2694C2216yes—
89#2694C2216yes—
90#2682C2216yes—
91#2658C2213yes—
92#2658C2213yes—
93#2621C2213yes—
94#2620C2213yes—
95#2554C2216yes—
96#2554C2216yes—
97#2552C2216yes—
98#2546C2213yes—
99#2546C2213yes—
100#2545C2213yes—
101#2545C2213yes—
102#2544C2213yes—
103#2544C2213yes—
104#2542C2213yes—
105#2542C2213yes—
106#2542C2213yes—
107#2542C2213yes—
108#2542C2213yes—
109#2542C2213yes—
110#2542C2213yes—
111#2541C2213yes—
112#2540C2213yes—
113#2540C2213yes—
114#2540C2213yes—
115#2540C2213yes—
116#2540C2213yes—
117#2540C2213yes—
118#2540C2213yes—
119#2540C2213yes—
120#2540C2213yes—
121#2540C2213yes—
122#2538C2213yes—
123#2537C2213yes—
124#2536C2213yes—
125#2536C2213yes—
126#2536C2213yes—
127#2535C2213yes—
128#2512C2216yes—
129#2479C2216yes—
130#2479C2216yes—
131#2479C2213yes—
132#2479C2213yes—
133#2479C2216yes—
134#2479C2216yes—
135#2479C2216yes—
136#2471C2216yes—
137#2471C2213yes—
138#2471C2213yes—
139#2467C2216yes—
140#2467C2213yes—
141#2467C2213yes—
142#2456C2213yes—
143#2456C2216yes—
144#2456C2216yes—
145#2456C2211yescharacteristic
146#2454C2213yes—
147#2454C2216yes—
148#2448C2213yes—
149#2445C2216yes—
150#2441C2216yes—
151#2441C2213yes—
152#2431C2213yes—
153#2429C2213yes—
154#2429C2213yes—
155#2429C2213yes—
156#2429C2213yes—
157#2429C2213yes—
158#2429C2213yes—
159#2428C2213yes—
160#2428C2213yes—
161#2428C2213yes—
162#2427C2213yes—
163#2427C2213yes—
164#2426C2213yes—
165#2426C2213yes—
166#2423C2216yes—
167#2423C2213yes—
168#2417C2213yes—
169#2417C2213yes—
170#2417C2213yes—
171#2417C2213yes—
172#2417C2213yes—
173#2416C2213yes—
174#2416C2213yes—
175#2416C2213yes—
176#2415C2213yes—
177#2415C2213yes—
178#2415C2213yes—
179#2414C2213yes—
180#2414C2213yes—
181#2407C2213yes—
182#2407C2216yes—
183#2397C2213yes—
184#2397C2213yes—
185#2392C2213yes—
186#2392C2213yes—
187#2370C2213yes—
188#2370C2213yes—
189#2369C2213yes—
190#2367C2213yes—
191#2367C2213yes—
192#2365C2213yes—
193#2363C2216yes—
194#2363C2216yes—
195#2363C2213yes—
196#2362C2213yes—
197#2361C2213yes—
198#2360C2213yes—
199#2360C2213yes—
200#2360C2213yes—
201#2355C2213yes—
202#2354C2216yes—
203#2354C2213yes—
204#2351C2211yescharacteristic
205#2351C2211yescharacteristic
206Q8×C4⋊C4C2211yescharacteristic
207Q8×C4⋊C4C2211yescharacteristic
208D4×C4⋊C4C2213yes—
209D4×C4⋊C4C2213yes—
210#2341C2211yescharacteristic
211#2341C2211yescharacteristic
212Q8×C22⋊C4C2211yescharacteristic
213Q8×C22⋊C4C2211yescharacteristic
214Q8×C22⋊C4C2211yescharacteristic
215Q8×C22⋊C4C2211yescharacteristic
216#2331C2213yes—
217#2330C2213yes—
218#2326C2213yes—
219#2326C2213yes—
220#2324C2213yes—
221#2323C2213yes—
222C4×C4⋊Q8C2213yes—
223C4×#127C2213yes—
224C4×#125C2213yes—
225C4×C22⋊Q8C2213yes—
226C4×C22⋊Q8C2213yes—
227C4×C22⋊Q8C2213yes—
228C4×#121C2213yes—
229C4×#121C2213yes—
230C4×#121C2213yes—
231C4×#121C2213yes—
232C4×#121C2213yes—
233#2295C2213yes—
234#2290C2213yes—
235#2290C2213yes—
236#2276C2211yescharacteristic
237#2276C2211yescharacteristic
238C42×Q8C2211yescharacteristic
239C42×D4C2213yes—
240C22×#41C2311yescharacteristic
241C22×#41C2311yescharacteristic
242C22×#41C2313yes—
243C23×Q8C2311yescharacteristic
244C23×Q8C2311yescharacteristic
245C23×Q8C2311yescharacteristic
246C23×Q8C2311yescharacteristic
247#557D4116yescomplemented
248#556—224no—
249#556—224no—
250#554—224no—
251#553—224no—
252#552—224no—
253#552—224no—
254#552—224no—
255#550—44no—
256D4×Q8—28no—
257D4×Q8—28no—
258D4×Q8—28no—
259D4×Q8—44no—
260D4×Q8—44no—
261D4×Q8—44no—
262#548—28no—
263#548—28no—
264#548—28no—
265#548—28no—
266#548—28no—
267#548—28no—
268#548—44no—
269#548—44no—
270#547—224no—
271#542—224no—
272#541—224no—
273#533—224no—
274C2×C4⋊Q8C2313yes—
275C2×C4⋊Q8C2313yes—
276C2×C4⋊Q8C2313yes—
277C2×C4⋊Q8C2313yes—
278C2×C4⋊Q8C2313yes—
279C2×C4⋊Q8C2313yes—
280C2×C4⋊Q8C2313yes—
281C2×#127C2313yes—
282C2×#127C2313yes—
283#529—224no—
284#529—224no—
285#529—224no—
286#529—224no—
287C2×#126C2316yes—
288C2×#126C2313yes—
289C2×#126C2316yes—
290C2×#126C2316yes—
291C2×#126C2313yes—
292C2×#126C2316yes—
293C2×#125C2313yes—
294C2×#125C2316yes—
295C2×#125C2316yes—
296C2×#125C2313yes—
297C2×#125C2313yes—
298C2×#124C2313yes—
299C2×#124C2313yes—
300C2×#124C2313yes—
301C2×#124C2313yes—
302C2×#124C2313yes—
303C2×#124C2313yes—
304C2×#124C2313yes—
305C2×#124C2313yes—
306C2×#124C2313yes—
307C2×#123C2311yescharacteristic
308C2×#123C2313yes—
309C2×#123C2316yes—
310C2×#123C2316yes—
311C2×#123C2316yes—
312C2×C22⋊Q8C2313yes—
313C2×C22⋊Q8C2313yes—
314C2×C22⋊Q8C2313yes—
315C2×C22⋊Q8C2313yes—
316C2×C22⋊Q8C2313yes—
317C2×C22⋊Q8C2316yes—
318C2×C22⋊Q8C2313yes—
319C2×C22⋊Q8C2313yes—
320C2×C22⋊Q8C2313yes—
321C2×C22⋊Q8C2313yes—
322C2×C22⋊Q8C2313yes—
323C2×C22⋊Q8C2313yes—
324C2×C22⋊Q8C2313yes—
325C2×C22⋊Q8C2313yes—
326C2×C22⋊Q8C2316yes—
327C2×C22⋊Q8C2313yes—
328C2×C22⋊Q8C2313yes—
329C2×C22⋊Q8C2313yes—
330C2×C22⋊Q8C2313yes—
331C2×C22⋊Q8C2313yes—
332C2×C22⋊Q8C2313yes—
333C2×C22⋊Q8C2313yes—
334C2×C22⋊Q8C2313yes—
335C2×#121C2313yes—
336C2×#121C2313yes—
337C2×#121C2313yes—
338C2×#121C2313yes—
339C2×#121C2313yes—
340C2×#121C2313yes—
341C2×#121C2313yes—
342C2×#121C2313yes—
343C2×#121C2311yescharacteristic
344C2×#121C2313yes—
345C2×#121C2313yes—
346C2×#121C2313yes—
347C2×#121C2316yes—
348C2×#121C2313yes—
349C2×#121C2313yes—
350C2×#121C2313yes—
351#520—28no—
352#519—28no—
353C4×#41—224no—
354C4×#41—28no—
355C2×C4×Q8—28no—
356C2×C4×Q8—28no—
357C2×C4×Q8—28no—
358C2×C4×Q8C2313yes—
359C2×C4×Q8C2313yes—
360C2×C4×Q8C2313yes—
361C2×C4×Q8C2313yes—
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2313yes—
368C2×C4×Q8C2313yes—
369C2×C4×Q8C2313yes—
370C2×C4×Q8C2313yes—
371C2×C4×Q8C2313yes—
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2313yes—
376C2×C4×Q8C2311yescharacteristic
377C2×C4×D4C2313yes—
378C2×C4×D4C2313yes—
379C2×C4×D4C2313yes—
380C2×C4×D4C2313yes—
381C2×C4×D4C2313yes—
382C2×C4×D4C2313yes—
383C2×C4×D4C2313yes—
384C2×C4×D4C2313yes—
385C2×C4×D4C2313yes—
386C2×C4×D4C2313yes—
387C2×C4×D4C2316yes—
388C2×C4×D4C2313yes—
389C2×C4×D4C2313yes—
390C2×C4×D4C2313yes—
391C2×C4×D4C2313yes—
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2313yes—
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2313yes—
396C2×C4×D4C2313yes—
397C2×C4×D4C2313yes—
398C2×C4×D4C2316yes—
399C2×C4×D4C2313yes—
400C2×C4×D4C2313yes—
401C2×C4×D4C2313yes—
402C2×C4×D4C2313yes—
403C2×#117C2313yes—
404C2×#117C2313yes—
405C2×#117C2313yes—
406C2×#117C2313yes—
407C2×#117C2313yes—
408C2×#117C2316yes—
409C2×#117C2316yes—
410C2×#117C2313yes—
411C2×#117C2313yes—
412C22×C4⋊C4C2313yes—
413C22×C4⋊C4C2313yes—
414C22×C4⋊C4C2313yes—
415C22×C4⋊C4C2313yes—
416C22×C42C2313yes—
417C22×C42C2313yes—
418C22×C42C2313yes—
419C22×C42C2313yes—
420#399C2313yes—
421#399C2313yes—
422#399C2313yes—
423#399C2313yes—
424#399C2313yes—
425#399C2313yes—
426#399C2313yes—
427#399C2313yes—
428#399C2316yes—
429#399C2316yes—
430#399C2316yes—
431#399C2316yes—
432#399C2316yes—
433#399C2316yes—
434#399C2316yes—
435#399C2316yes—
436#398C2316yes—
437#398C2316yes—
438#398C2313yes—
439#398C2313yes—
440#398C2316yes—
441#398C2316yes—
442#398C2316yes—
443#398C2316yes—
444#397C2313yes—
445#397C2316yes—
446#397C2313yes—
447#397C2316yes—
448#396C2313yes—
449#396C2316yes—
450#396C2311yescharacteristic
451#396C2313yes—
452#396C2313yes—
453#396C2316yes—
454#396C2316yes—
455#396C2316yes—
456#396C2316yes—
457#396C2316yes—
458#396C2316yes—
459#394C2316yes—
460#394C2316yes—
461#394C2313yes—
462#394C2313yes—
463#394C2313yes—
464#394C2313yes—
465#394C2313yes—
466#394C2313yes—
467#394C2316yes—
468#394C2316yes—
469#394C2316yes—
470#394C2316yes—
471#392C2311yescharacteristic
472#392C2313yes—
473#392C2311yescharacteristic
474#392C2311yescharacteristic
475#392C2313yes—
476#392C2313yes—
477#392C2313yes—
478#392C2313yes—
479#392C2313yes—
480#392C2313yes—
481#392C2316yes—
482#392C2316yes—
483#392C2316yes—
484#391C2313yes—
485#391C2313yes—
486#391C2313yes—
487#391C2313yes—
488#391C2313yes—
489#391C2313yes—
490#391C2316yes—
491#391C2313yes—
492#391C2313yes—
493#391C2313yes—
494#391C2313yes—
495#390C2311yescharacteristic
496#390C2313yes—
497#390C2313yes—
498#390C2313yes—
499#390C2313yes—
500#390C2313yes—
501#390C2313yes—
502#390C2316yes—
503#390C2313yes—
504#390C2313yes—
505#390C2313yes—
506#390C2316yes—
507#390C2316yes—
508#390C2316yes—
509#390C2316yes—
510#390C2316yes—
511#390C2316yes—
512#390C2316yes—
513#390C2316yes—
514#390C2313yes—
515#390C2313yes—
516#390C2313yes—
517#390C2313yes—
518#390C2316yes—
519#389C2313yes—
520#389C2313yes—
521#389C2316yes—
522#389C2316yes—
523#389C2313yes—
524#389C2316yes—
525#389C2313yes—
526#389C2313yes—
527#389C2313yes—
528#389C2316yes—
529#389C2313yes—
530#389C2313yes—
531#389C2316yes—
532#389C2316yes—
533#389C2313yes—
534#389C2316yes—
535#389C2313yes—
536#389C2313yes—
537#389C2316yes—
538#389C2313yes—
539#389C2313yes—
540#389C2313yes—
541#388C2316yes—
542#388C2316yes—
543#388C2316yes—
544#388C2313yes—
545#388C2316yes—
546#388C2316yes—
547#388C2313yes—
548#388C2316yes—
549#388C2316yes—
550#388C2316yes—
551#388C2316yes—
552#388C2316yes—
553#388C2313yes—
554#388C2313yes—
555#388C2316yes—
556#388C2313yes—
557#388C2316yes—
558#388C2313yes—
559#388C2311yescharacteristic
560#388C2313yes—
561#388C2311yescharacteristic
562#388C2313yes—
563#388C2313yes—
564#388C2313yes—
565#387C2313yes—
566#387C2316yes—
567#387C2313yes—
568#387C2316yes—
569#387C2316yes—
570#387C2313yes—
571#387C2313yes—
572#387C2316yes—
573#387C2316yes—
574#387C2313yes—
575#387C2313yes—
576#387C2313yes—
577#387C2311yescharacteristic
578#386C2313yes—
579#386C2313yes—
580#386C2313yes—
581#386C2316yes—
582#386C2316yes—
583#386C2316yes—
584#386C2316yes—
585#386C2313yes—
586#386C2313yes—
587#386C2316yes—
588#386C2313yes—
589#386C2313yes—
590#386C2316yes—
591#386C2313yes—
592#386C2313yes—
593#386C2313yes—
594#386C2311yescharacteristic
595#386C2311yescharacteristic
596#385C2316yes—
597#385C2313yes—
598#385C2316yes—
599#385C2316yes—
600#385C2313yes—
601#385C2316yes—
602#385C2316yes—
603#385C2313yes—
604#385C2311yescharacteristic
605#384C2313yes—
606#384C2313yes—
607#384C2313yes—
608#384C2316yes—
609#384C2316yes—
610#382C2313yes—
611#382C2313yes—
612#380C2313yes—
613#380C2313yes—
614#380C2313yes—
615#380C2313yes—
616#380C2313yes—
617#380C2313yes—
618#380C2313yes—
619#380C2316yes—
620#380C2316yes—
621#380C2313yes—
622#380C2313yes—
623#380C2313yes—
624C4×C4⋊C4C2313yes—
625C4×C4⋊C4C2313yes—
626C4×C4⋊C4C2316yes—
627C4×C4⋊C4C2316yes—
628C4×C4⋊C4C2313yes—
629C4×C4⋊C4C2316yes—
630C4×C4⋊C4C2313yes—
631C4×C4⋊C4C2313yes—
632C4×C4⋊C4C2313yes—
633C4×C4⋊C4C2313yes—
634C4×C4⋊C4C2313yes—
635C4×C4⋊C4C2313yes—
636C4×C4⋊C4C2313yes—
637C4×C4⋊C4C2316yes—
638C4×C4⋊C4C2313yes—
639C4×C4⋊C4C2313yes—
640C4×C4⋊C4C2313yes—
641C4×C4⋊C4C2313yes—
642C4×C4⋊C4C2313yes—
643C4×C22⋊C4C2313yes—
644C4×C22⋊C4C2313yes—
645C4×C22⋊C4C2313yes—
646C4×C22⋊C4C2313yes—
647C4×C22⋊C4C2313yes—
648C4×C22⋊C4C2313yes—
649C4×C22⋊C4C2313yes—
650C4×C22⋊C4C2313yes—
651C4×C22⋊C4C2316yes—
652C4×C22⋊C4C2316yes—
653C4×C22⋊C4C2313yes—
654C4×C22⋊C4C2313yes—
655#376C2313yes—
656#376C2313yes—
657C43C2313yes—
658C2×#41—212no—
659C2×#41—24no—
660C2×#41—24no—
661C2×#41—24no—
662C2×#41—24no—
663C2×#41—24no—
664C2×#41—24no—
665C2×#41—46no—
666C2×#41—46no—
667C22×Q8—24no—
668C22×Q8—24no—
669C22×Q8—24no—
670C22×Q8—24no—
671C22×Q8—24no—
672C22×Q8—24no—
673C22×Q8—24no—
674C22×Q8—24no—
675C22×Q8—24no—
676C22×Q8—24no—
677C22×Q8—24no—
678C22×Q8—24no—
679C22×Q8C2413yes—
680C22×Q8C2413yes—
681C22×Q8C2413yes—
682C22×Q8C2413yes—
683C22×Q8C2413yes—
684C22×Q8C2411yescharacteristic
685C22×D4C2411yescharacteristic
686C22×D4C2411yescharacteristic
687C22×D4C2413yes—
688C22×D4C2413yes—
689C22×D4C2413yes—
690C22×D4C2411yescharacteristic
691C22×D4C2411yescharacteristic
692C22×D4C2413yes—
693C22×D4C2411yescharacteristic
694C22×D4C2413yes—
695C22×D4C2413yes—
696C22×D4C2411yescharacteristic
697C22×D4C2413yes—
698C22×D4C2413yes—
699C22×D4C2413yes—
700C22×D4C2413yes—
701C22×D4C2413yes—
702C22×D4C2416yes—
703C23×C4C2413yes—
704C23×C4C2413yes—
705C23×C4C2413yes—
706C23×C4C2413yes—
707C23×C4C2413yes—
708C23×C4C2413yes—
709C23×C4C2413yes—
710C23×C4C2413yes—
711C23×C4C2413yes—
712C23×C4C2411yescharacteristic
713C23×C4C2411yescharacteristic
714C23×C4C2411yescharacteristic
715C23×C4C2413yes—
716C23×C4C2416yes—
717C23×C4C2413yes—
718C4⋊Q8—212no—
719C4⋊Q8—212no—
720C4⋊Q8—212no—
721C4⋊Q8—46no—
722C4⋊Q8—46no—
723C4⋊Q8—46no—
724C4⋊Q8C2×D4124yes—
725#127—46no—
726#127—46no—
727#126—224no—
728#126—212no—
729#126—224no—
730#126—224no—
731#126—212no—
732#126—224no—
733#125—212no—
734#125—224no—
735#125—224no—
736#125C2×D4124yes—
737#125C2×D4124yes—
738#124—212no—
739#124—212no—
740#124—212no—
741#124—212no—
742#124—212no—
743#124—212no—
744#124—212no—
745#124—46no—
746#124—46no—
747#123—24no—
748#123—212no—
749#123—224no—
750#123—224no—
751#123—224no—
752C22⋊Q8—212no—
753C22⋊Q8—224no—
754C22⋊Q8—224no—
755C22⋊Q8—212no—
756C22⋊Q8—212no—
757C22⋊Q8—212no—
758C22⋊Q8—212no—
759C22⋊Q8—212no—
760C22⋊Q8—212no—
761C22⋊Q8—212no—
762C22⋊Q8—212no—
763C22⋊Q8—212no—
764C22⋊Q8—212no—
765C22⋊Q8—212no—
766C22⋊Q8—212no—
767C22⋊Q8—46no—
768C22⋊Q8—46no—
769C22⋊Q8—46no—
770C22⋊Q8—46no—
771C22⋊Q8—46no—
772C22⋊Q8—46no—
773C22⋊Q8—46no—
774C22⋊Q8—46no—
775#121—212no—
776#121—212no—
777#121—212no—
778#121—212no—
779#121—212no—
780#121—212no—
781#121—212no—
782#121—24no—
783#121—212no—
784#121—46no—
785#121—412no—
786#121—46no—
787#121—46no—
788#121—46no—
789#121—46no—
790#121—46no—
791C4×Q8—24no—
792C4×Q8—24no—
793C4×Q8—212no—
794C4×Q8—24no—
795C4×Q8—24no—
796C4×Q8—24no—
797C4×Q8—212no—
798C4×Q8—212no—
799C4×Q8—212no—
800C4×Q8—212no—
801C4×Q8—212no—
802C4×Q8—212no—
803C4×Q8—212no—
804C4×Q8—212no—
805C4×Q8C2×D418yes—
806C4×Q8C2×D418yes—
807C4×Q8C2×D418yes—
808C4×Q8C2×D4124yes—
809C4×Q8#4118yescomplemented
810C4×D4—24no—
811C4×D4—212no—
812C4×D4—212no—
813C4×D4—212no—
814C4×D4—212no—
815C4×D4—224no—
816C4×D4—24no—
817C4×D4—212no—
818C4×D4—212no—
819C4×D4—212no—
820C4×D4—212no—
821C4×D4—212no—
822C4×D4—212no—
823C4×D4—212no—
824C4×D4—212no—
825C4×D4—212no—
826C4×D4—212no—
827C4×D4—212no—
828C4×D4—46no—
829C4×D4—46no—
830C4×D4—46no—
831C4×D4—46no—
832C4×D4—46no—
833C4×D4—46no—
834C4×D4—412no—
835C4×D4—46no—
836#117—212no—
837#117—212no—
838#117—212no—
839#117—212no—
840#117—212no—
841#117—224no—
842#117—224no—
843#117—212no—
844#117—212no—
845C2×C4⋊C4—212no—
846C2×C4⋊C4—212no—
847C2×C4⋊C4—212no—
848C2×C4⋊C4—212no—
849C2×C4⋊C4C2413yes—
850C2×C4⋊C4C2413yes—
851C2×C4⋊C4C2413yes—
852C2×C4⋊C4C2416yes—
853C2×C4⋊C4C2416yes—
854C2×C4⋊C4C2416yes—
855C2×C4⋊C4C2411yescharacteristic
856C2×C4⋊C4C2413yes—
857C2×C4⋊C4C2413yes—
858C2×C4⋊C4C2413yes—
859C2×C4⋊C4C2413yes—
860C2×C4⋊C4C2413yes—
861C2×C4⋊C4C2416yes—
862C2×C4⋊C4C2416yes—
863C2×C4⋊C4C2413yes—
864C2×C4⋊C4C2413yes—
865C2×C4⋊C4C2413yes—
866C2×C4⋊C4C2413yes—
867C2×C4⋊C4C2413yes—
868C2×C4⋊C4C2413yes—
869C2×C4⋊C4C2411yescharacteristic
870C2×C4⋊C4C2413yes—
871C2×C4⋊C4C2413yes—
872C2×C4⋊C4C2413yes—
873C2×C4⋊C4C2413yes—
874C2×C4⋊C4C2411yescharacteristic
875C2×C4⋊C4C2416yes—
876C2×C4⋊C4C2411yescharacteristic
877C2×C4⋊C4C2413yes—
878C2×C4⋊C4C2413yes—
879C2×C4⋊C4C2413yes—
880C2×C4⋊C4C2413yes—
881C2×C4⋊C4C2413yes—
882C2×C4⋊C4C2413yes—
883C2×C4⋊C4C2416yes—
884C2×C4⋊C4C2416yes—
885C2×C4⋊C4C2413yes—
886C2×C4⋊C4C2413yes—
887C2×C4⋊C4C2416yes—
888C2×C4⋊C4C2416yes—
889C2×C4⋊C4C2416yes—
890C2×C4⋊C4C2413yes—
891C2×C4⋊C4C2413yes—
892C2×C4⋊C4C2413yes—
893C2×C4⋊C4C2413yes—
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2413yes—
896C2×C4⋊C4C2413yes—
897C2×C4⋊C4C2413yes—
898C2×C4⋊C4C2416yes—
899C2×C4⋊C4C2413yes—
900C2×C22⋊C4C2411yescharacteristic
901C2×C22⋊C4C2411yescharacteristic
902C2×C22⋊C4C2413yes—
903C2×C22⋊C4C2411yescharacteristic
904C2×C22⋊C4C2413yes—
905C2×C22⋊C4C2413yes—
906C2×C22⋊C4C2413yes—
907C2×C22⋊C4C2413yes—
908C2×C22⋊C4C2416yes—
909C2×C22⋊C4C2413yes—
910C2×C22⋊C4C2413yes—
911C2×C22⋊C4C2413yes—
912C2×C22⋊C4C2416yes—
913C2×C22⋊C4C2416yes—
914C2×C22⋊C4C2416yes—
915C2×C22⋊C4C2411yescharacteristic
916C2×C22⋊C4C2413yes—
917C2×C22⋊C4C2411yescharacteristic
918C2×C22⋊C4C2411yescharacteristic
919C2×C22⋊C4C2411yescharacteristic
920C2×C22⋊C4C2413yes—
921C2×C22⋊C4C2413yes—
922C2×C22⋊C4C2416yes—
923C2×C22⋊C4C2413yes—
924C2×C22⋊C4C2413yes—
925C2×C22⋊C4C2413yes—
926C2×C22⋊C4C2413yes—
927C2×C22⋊C4C2413yes—
928C2×C22⋊C4C2413yes—
929C2×C22⋊C4C2411yescharacteristic
930C2×C22⋊C4C2416yes—
931C2×C22⋊C4C2416yes—
932C2×C22⋊C4C2413yes—
933C2×C22⋊C4C2411yescharacteristic
934C2×C22⋊C4C2411yescharacteristic
935C2×C22⋊C4C2411yescharacteristic
936C2×C22⋊C4C2413yes—
937C2×C22⋊C4C2413yes—
938C2×C22⋊C4C2413yes—
939C2×C22⋊C4C2413yes—
940C2×C22⋊C4C2413yes—
941C2×C22⋊C4C2413yes—
942C2×C22⋊C4C2413yes—
943C2×C22⋊C4C2413yes—
944C2×C22⋊C4C2413yes—
945C2×C22⋊C4C2413yes—
946C2×C22⋊C4C2413yes—
947C2×C22⋊C4C2416yes—
948C2×C22⋊C4C2416yes—
949C2×C22⋊C4C2416yes—
950C2×C22⋊C4C2413yes—
951C2×C22⋊C4C2416yes—
952C2×C22⋊C4C2413yes—
953C2×C22⋊C4C2413yes—
954C2×C22⋊C4C2411yescharacteristic
955C2×C22⋊C4C2413yes—
956C2×C22⋊C4C2411yescharacteristic
957C2×C42—212no—
958C2×C42—212no—
959C2×C42—212no—
960C2×C42—212no—
961C2×C42C2413yes—
962C2×C42C2413yes—
963C2×C42C2413yes—
964C2×C42C2413yes—
965C2×C42C2416yes—
966C2×C42C2413yes—
967C2×C42C2413yes—
968C2×C42C2413yes—
969C2×C42C2413yes—
970C2×C42C2413yes—
971C2×C42C2413yes—
972C2×C42C2413yes—
973C2×C42C2411yescharacteristic
974C2×C42C2411yescharacteristic
975C2×C42C2413yes—
976C2×C42C2413yes—
977C2×C42C2416yes—
978C2×C42C2413yes—
979C2×C42C2413yes—
980C2×C42C2416yes—
981C2×C42C2413yes—
982C2×C42C2413yes—
983C2×C42C2413yes—
984C2×C42C2413yes—
985#95C2411yescharacteristic
986#95C2411yescharacteristic
987#95C2413yes—
988#95C2413yes—
989#95C2413yes—
990#95C2413yes—
991#95C2413yes—
992#95C2413yes—
993#95C2413yes—
994#95C2411yescharacteristic
995#95C2413yes—
996#95C2411yescharacteristic
997#95C2413yes—
998#95C2413yes—
999#95C2413yes—
1000#95C2413yes—
1001#95C2413yes—
1002#95C2413yes—
1003#95C2413yes—
1004#95C2413yes—
1005#95C2413yes—
1006#95C2416yes—
1007#95C2413yes—
1008#95C2413yes—
1009#95C2416yes—
1010#95C2413yes—
1011#95C2411yescharacteristic
1012#95C2411yescharacteristic
1013#95C2416yes—
1014#95C2416yes—
1015#95C2416yes—
1016#95C2413yes—
1017#95C2416yes—
1018#95C2416yes—
1019#95C2413yes—
1020C24C2513yes—
1021C24C2513yes—
1022C24C2511yescharacteristic
1023C24C2511yescharacteristic
1024C24C2511yescharacteristic
1025C24C2511yescharacteristic
1026#41—448no—
1027#41—416no—
1028#41—416no—
1029C2×Q8—26no—
1030C2×Q8—26no—
1031C2×Q8—26no—
1032C2×Q8—26no—
1033C2×Q8—26no—
1034C2×Q8—26no—
1035C2×Q8—26no—
1036C2×Q8—26no—
1037C2×Q8—26no—
1038C2×Q8—26no—
1039C2×Q8—26no—
1040C2×Q8—26no—
1041C2×Q8—43no—
1042C2×Q8—43no—
1043C2×Q8—416no—
1044C2×Q8—416no—
1045C2×Q8—416no—
1046C2×Q8—416no—
1047C2×Q8C22×D4112yes—
1048C2×Q8C22×D414yes—
1049C2×Q8C2×#4114yes—
1050C2×Q8H(5,𝔽2)14yes—
1051C2×D4—22no—
1052C2×D4—22no—
1053C2×D4—22no—
1054C2×D4—22no—
1055C2×D4—22no—
1056C2×D4—26no—
1057C2×D4—22no—
1058C2×D4—26no—
1059C2×D4—22no—
1060C2×D4—22no—
1061C2×D4—26no—
1062C2×D4—26no—
1063C2×D4—22no—
1064C2×D4—26no—
1065C2×D4—26no—
1066C2×D4—22no—
1067C2×D4—22no—
1068C2×D4—26no—
1069C2×D4—26no—
1070C2×D4—26no—
1071C2×D4—26no—
1072C2×D4—26no—
1073C2×D4—26no—
1074C2×D4—22no—
1075C2×D4—26no—
1076C2×D4—26no—
1077C2×D4—26no—
1078C2×D4—26no—
1079C2×D4—26no—
1080C2×D4—26no—
1081C2×D4—22no—
1082C2×D4—26no—
1083C2×D4—41no—
1084C2×D4—41no—
1085C2×D4—41no—
1086C2×D4—43no—
1087C2×D4—43no—
1088C2×D4—41no—
1089C2×D4—41no—
1090C2×D4—43no—
1091C2×D4—43no—
1092C2×D4—43no—
1093C2×D4—43no—
1094C2×D4—43no—
1095C2×D4—43no—
1096C2×D4—43no—
1097C2×D4—43no—
1098C2×D4—43no—
1099C2×D4—43no—
1100C2×D4—43no—
1101C2×D4—43no—
1102C2×D4—46no—
1103C2×D4—46no—
1104C2×D4—46no—
1105C22×C4—22no—
1106C22×C4—26no—
1107C22×C4—26no—
1108C22×C4—22no—
1109C22×C4—22no—
1110C22×C4—22no—
1111C22×C4—26no—
1112C22×C4—26no—
1113C22×C4—26no—
1114C22×C4—26no—
1115C22×C4—26no—
1116C22×C4—26no—
1117C22×C4—26no—
1118C22×C4—26no—
1119C22×C4—26no—
1120C22×C4—26no—
1121C22×C4—26no—
1122C22×C4—26no—
1123C22×C4—26no—
1124C22×C4—26no—
1125C22×C4—26no—
1126C22×C4—26no—
1127C22×C4—26no—
1128C22×C4—26no—
1129C22×C4—26no—
1130C22×C4—26no—
1131C22×C4—26no—
1132C22×C4—26no—
1133C22×C4—22no—
1134C22×C4—22no—
1135C22×C4—26no—
1136C22×C4—26no—
1137C22×C4—212no—
1138C22×C4—41no—
1139C22×C4—41no—
1140C22×C4—43no—
1141C22×C4—41no—
1142C22×C4—43no—
1143C22×C4—43no—
1144C22×C4—43no—
1145C22×C4—43no—
1146C22×C4—46no—
1147C22×C4—43no—
1148C22×C4—43no—
1149C22×C4—46no—
1150C22×C4C2511yescharacteristic
1151C22×C4C2513yes—
1152C22×C4C2513yes—
1153C22×C4C2511yescharacteristic
1154C22×C4C2511yescharacteristic
1155C22×C4C2513yes—
1156C22×C4C2513yes—
1157C22×C4C2513yes—
1158C22×C4C2511yescharacteristic
1159C22×C4C2513yes—
1160C22×C4C2513yes—
1161C22×C4C2513yes—
1162C22×C4C2513yes—
1163C22×C4C2511yescharacteristic
1164C22×C4C2511yescharacteristic
1165C22×C4C2511yescharacteristic
1166C22×C4C2513yes—
1167C22×C4C2511yescharacteristic
1168C22×C4C2513yes—
1169C22×C4C2513yes—
1170C22×C4C2511yescharacteristic
1171C22×C4C2513yes—
1172C22×C4C2511yescharacteristic
1173C22×C4C2511yescharacteristic
1174C22×C4C2513yes—
1175C4⋊C4—26no—
1176C4⋊C4—26no—
1177C4⋊C4—26no—
1178C4⋊C4—212no—
1179C4⋊C4—212no—
1180C4⋊C4—212no—
1181C4⋊C4—22no—
1182C4⋊C4—26no—
1183C4⋊C4—26no—
1184C4⋊C4—26no—
1185C4⋊C4—26no—
1186C4⋊C4—26no—
1187C4⋊C4—212no—
1188C4⋊C4—212no—
1189C4⋊C4—26no—
1190C4⋊C4—26no—
1191C4⋊C4—26no—
1192C4⋊C4—26no—
1193C4⋊C4—26no—
1194C4⋊C4—26no—
1195C4⋊C4—212no—
1196C4⋊C4—26no—
1197C4⋊C4—26no—
1198C4⋊C4—26no—
1199C4⋊C4—22no—
1200C4⋊C4—22no—
1201C4⋊C4—26no—
1202C4⋊C4—43no—
1203C4⋊C4—43no—
1204C4⋊C4—43no—
1205C4⋊C4—46no—
1206C4⋊C4—41no—
1207C4⋊C4—43no—
1208C4⋊C4—43no—
1209C4⋊C4—43no—
1210C4⋊C4—43no—
1211C4⋊C4—43no—
1212C4⋊C4—43no—
1213C4⋊C4—43no—
1214C4⋊C4—46no—
1215C4⋊C4—46no—
1216C4⋊C4—46no—
1217C4⋊C4—46no—
1218C4⋊C4C22×D4112yes—
1219C4⋊C4C22×D4112yes—
1220C4⋊C4C22×D414yes—
1221C4⋊C4C22×D4112yes—
1222C4⋊C4C22×D4112yes—
1223C4⋊C4C22×D4112yes—
1224C4⋊C4C22×D4124yes—
1225C4⋊C4C2×#41112yes—
1226C22⋊C4—26no—
1227C22⋊C4—26no—
1228C22⋊C4—22no—
1229C22⋊C4—22no—
1230C22⋊C4—26no—
1231C22⋊C4—22no—
1232C22⋊C4—26no—
1233C22⋊C4—26no—
1234C22⋊C4—26no—
1235C22⋊C4—26no—
1236C22⋊C4—212no—
1237C22⋊C4—26no—
1238C22⋊C4—26no—
1239C22⋊C4—26no—
1240C22⋊C4—212no—
1241C22⋊C4—212no—
1242C22⋊C4—212no—
1243C22⋊C4—26no—
1244C22⋊C4—22no—
1245C22⋊C4—22no—
1246C22⋊C4—212no—
1247C22⋊C4—26no—
1248C22⋊C4—26no—
1249C22⋊C4—22no—
1250C22⋊C4—22no—
1251C22⋊C4—26no—
1252C22⋊C4—26no—
1253C22⋊C4—26no—
1254C22⋊C4—26no—
1255C22⋊C4—212no—
1256C22⋊C4—212no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—26no—
1260C22⋊C4—43no—
1261C22⋊C4—41no—
1262C22⋊C4—46no—
1263C22⋊C4—43no—
1264C22⋊C4—41no—
1265C22⋊C4—41no—
1266C22⋊C4—43no—
1267C22⋊C4—43no—
1268C22⋊C4—43no—
1269C22⋊C4—43no—
1270C22⋊C4—43no—
1271C22⋊C4—43no—
1272C22⋊C4—43no—
1273C22⋊C4—43no—
1274C22⋊C4—43no—
1275C22⋊C4—43no—
1276C22⋊C4—46no—
1277C22⋊C4—43no—
1278C22⋊C4—43no—
1279C22⋊C4—43no—
1280C22⋊C4—46no—
1281C22⋊C4—46no—
1282C22⋊C42−1+414yes—
1283C42—22no—
1284C42—26no—
1285C42—26no—
1286C42—26no—
1287C42—26no—
1288C42—26no—
1289C42—26no—
1290C42—26no—
1291C42—26no—
1292C42—26no—
1293C42—212no—
1294C42—26no—
1295C42—26no—
1296C42—26no—
1297C42—22no—
1298C42—43no—
1299C42—46no—
1300C42—43no—
1301C42—46no—
1302C42—43no—
1303C42C22×D4112yes—
1304C42C22×D4112yes—
1305C42C22×D4112yes—
1306C42C2×#41112yes—
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—23no—
1326C23—23no—
1327C23—21no—
1328C23—23no—
1329C23—23no—
1330C23—21no—
1331C23—21no—
1332C23—23no—
1333C23—23no—
1334C23—21no—
1335C23—23no—
1336C23—23no—
1337C23—21no—
1338C23—23no—
1339C23—23no—
1340C23—23no—
1341C23—23no—
1342C23—21no—
1343C23—23no—
1344C23—23no—
1345C23—21no—
1346C23C2×2−1+412yes—
1347C23#58512yes—
1348C23#58512yes—
1349C23C2611yescharacteristic
1350Q8—412no—
1351Q8—412no—
1352Q8—412no—
1353Q8—412no—
1354Q8—412no—
1355Q8#550116yes—
1356D4—28no—
1357D4—28no—
1358D4—412no—
1359D4—412no—
1360D4—44no—
1361D4—44no—
1362D4—412no—
1363D4—412no—
1364D4—44no—
1365D4—44no—
1366D4—412no—
1367D4—412no—
1368D4—86no—
1369D4—86no—
1370D4—86no—
1371D4—86no—
1372D4—86no—
1373D4—166no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—23no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—23no—
1382C2×C4—21no—
1383C2×C4—23no—
1384C2×C4—23no—
1385C2×C4—23no—
1386C2×C4—23no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—23no—
1391C2×C4—23no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—23no—
1396C2×C4—23no—
1397C2×C4—21no—
1398C2×C4—23no—
1399C2×C4—23no—
1400C2×C4—23no—
1401C2×C4—23no—
1402C2×C4—21no—
1403C2×C4—23no—
1404C2×C4—23no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—23no—
1408C2×C4—23no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—23no—
1412C2×C4—23no—
1413C2×C4—23no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—23no—
1417C2×C4—23no—
1418C2×C4—23no—
1419C2×C4—23no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—23no—
1423C2×C4—23no—
1424C2×C4—23no—
1425C2×C4—23no—
1426C2×C4—23no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—23no—
1430C2×C4—23no—
1431C2×C4—23no—
1432C2×C4—23no—
1433C2×C4—23no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—44no—
1437C2×C4—44no—
1438C2×C4—412no—
1439C2×C4—44no—
1440C2×C4—412no—
1441C2×C4—412no—
1442C2×C4—412no—
1443C2×C4—412no—
1444C2×C4—412no—
1445C2×C4—412no—
1446C2×C4—412no—
1447C2×C4—412no—
1448C2×C4—412no—
1449C2×C4—812no—
1450C2×C4—86no—
1451C2×C4C23×D412yes—
1452C2×C4C23×D412yes—
1453C2×C4C23×D416yes—
1454C2×C4C23×D416yes—
1455C2×C4C23×D412yes—
1456C2×C4C23×D416yes—
1457C2×C4C23×D416yes—
1458C2×C4C22×#4112yes—
1459C2×C4C22×#4116yes—
1460C2×C4C22×#4116yes—
1461C2×C4C2×H(5,𝔽2)16yes—
1462C2×C4C2×2−1+412yes—
1463C2×C4C2×2−1+412yes—
1464C22—22no—
1465C22—22no—
1466C22—22no—
1467C22—22no—
1468C22—22no—
1469C22—22no—
1470C22—22no—
1471C22—22no—
1472C22—22no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22—43no—
1486C22—41no—
1487C22—43no—
1488C22—43no—
1489C22—43no—
1490C22—41no—
1491C22—41no—
1492C22—43no—
1493C22—43no—
1494C22—43no—
1495C22—43no—
1496C22—41no—
1497C22—43no—
1498C22—43no—
1499C22—41no—
1500C22—41no—
1501C22—43no—
1502C22—43no—
1503C22—41no—
1504C22—43no—
1505C22—43no—
1506C22C24×D411yescharacteristic
1507C22C23×#4111yescharacteristic
1508C22C22×H(5,𝔽2)11yescharacteristic
1509C22C22×2−1+411yescharacteristic
1510C22C2×#58511yescharacteristic
1511C22C2×#58511yescharacteristic
1512C222−1+611yescharacteristic
1513C4—26no—
1514C4—22no—
1515C4—22no—
1516C4—26no—
1517C4—22no—
1518C4—22no—
1519C4—22no—
1520C4—22no—
1521C4—26no—
1522C4—26no—
1523C4—41no—
1524C4—41no—
1525C4—43no—
1526C4—43no—
1527C4—43no—
1528C4—41no—
1529C4—43no—
1530C4—43no—
1531C4—41no—
1532C4—41no—
1533C4—43no—
1534C4—43no—
1535C4—43no—
1536C4—43no—
1537C4C2×#550112yes—
1538C2—42no—
1539C2—42no—
1540C2—42no—
1541C2—83no—
1542C2—81no—
1543C2—83no—
1544C2C22×#55011yescharacteristic
1545C2#6278811yescharacteristic
1546C2#6281111yescharacteristic
1547C2#6291911yescharacteristic
1548C2#6299311yescharacteristic
1549C2D4×2−1+411yescharacteristic
1550C2#6301511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3516C2semidirect
2. C2×#3482C2semidirect
3. #59444C2semidirect
4. #59059C2semidirect
5. #59058C2semidirect
6. #59054C2semidirect
7. #59052C2semidirect
8. #45356C2semidirect
9. #45217C2semidirect
10. #44980C2semidirect
11. #44882C2semidirect
12. #39740C2semidirect
13. #39131C2semidirect
14. #37774C2semidirect
15. #37773C2semidirect
16. Q8×#121C2semidirect
17. #36504C2semidirect
18. #36465C2semidirect
19. #36434C2semidirect
20. #36434C2semidirect
21. #36430C2semidirect
22. #36136C2semidirect
23. #35927C2semidirect
24. #35927C2semidirect
25. #35831C2semidirect
26. #35700C2semidirect
27. #34727C2semidirect
28. #34336C2semidirect
29. #34294C2semidirect
30. #34293C2semidirect
31. C4×D4×Q8C2semidirect
247. #557D4semidirect
809. C4×Q8#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35162
C2×#34822
#594442
#590592
#590582
#590542
#590522
#453562
#452172
#449802
#448822
#397402
#391312
#377742
#377732
Q8×#1212
#365042
#364652
#364342
#364302
#361362
#359272
#358312
#357002
#347272
#343362
#342942
#342932
C4×D4×Q82