Finite Group Databasebeta

← #7698469

Subgroups — #7698469

Order 512.

7615 conjugacy classes of subgroups.

The subgroup lattice has 1583 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3524C211yesmaximal, characteristic, complemented
2C2×#3517C211yesmaximal, characteristic, complemented
3#59824C213yesmaximal, complemented
4#59058C213yesmaximal, complemented
5#59056C213yesmaximal, complemented
6#52160C213yesmaximal, complemented
7#45423C213yesmaximal, complemented
8#45064C213yesmaximal, complemented
9#45036C213yesmaximal, complemented
10#45036C213yesmaximal, complemented
11#44933C213yesmaximal, complemented
12#44882C213yesmaximal, complemented
13#39745C213yesmaximal, complemented
14#39386C213yesmaximal, complemented
15#39138C213yesmaximal, complemented
16#39130C213yesmaximal, complemented
17#37775C213yesmaximal, complemented
18#37772C213yesmaximal, complemented
19#36592C211yesmaximal, characteristic, complemented
20#36455C211yesmaximal, characteristic, complemented
21#36430C211yesmaximal, characteristic, complemented
22#36066C211yesmaximal, characteristic, complemented
23#36066C211yesmaximal, characteristic, complemented
24#36029C211yesmaximal, characteristic, complemented
25#36029C211yesmaximal, characteristic, complemented
26#36018C211yesmaximal, characteristic, complemented
27#35831C211yesmaximal, characteristic, complemented
28#34336C211yesmaximal, characteristic, complemented
29#34312C211yesmaximal, characteristic, complemented
30#34295C211yesmaximal, characteristic, complemented
31#34295C211yesmaximal, characteristic, complemented
32#3524—216no—
33#3517—216no—
34C2×#559C2213yes—
35C2×#557C2211yescharacteristic
36C2×#555C2213yes—
37C2×#553C2213yes—
38C2×#553C2213yes—
39C2×#553C2213yes—
40C2×#552C2213yes—
41C2×#550C2213yes—
42C2×#550C2211yescharacteristic
43C2×#550C2211yescharacteristic
44C2×#550C2211yescharacteristic
45C2×#550C2211yescharacteristic
46C2×#550C2211yescharacteristic
47C2×#550C2211yescharacteristic
48C2×#550C2211yescharacteristic
49C2×#550C2211yescharacteristic
50C2×#550C2211yescharacteristic
51C2×#550C2211yescharacteristic
52C2×#548C2211yescharacteristic
53C2×#548C2211yescharacteristic
54C2×#548C2211yescharacteristic
55C2×#548C2211yescharacteristic
56C2×#548C2211yescharacteristic
57C2×#547C2213yes—
58C2×#542C2213yes—
59C2×#540C2213yes—
60C2×#540C2213yes—
61C2×#540C2213yes—
62C2×#532C2213yes—
63C2×#529C2213yes—
64C2×#529C2213yes—
65C2×#529C2213yes—
66C2×#520C2211yescharacteristic
67C2×#520C2211yescharacteristic
68C2×#520C2211yescharacteristic
69C2×#519C2211yescharacteristic
70C2×C4×#41C2211yescharacteristic
71C2×C4×#41C2211yescharacteristic
72#2867C2213yes—
73#2856C2213yes—
74#2850C2213yes—
75#2733C2216yes—
76#2733C2213yes—
77#2732C2213yes—
78#2730C2216yes—
79#2730C2213yes—
80#2730C2213yes—
81#2727C2213yes—
82#2721C2213yes—
83#2721C2211yescharacteristic
84#2714C2216yes—
85#2714C2216yes—
86#2714C2213yes—
87#2714C2213yes—
88#2705C2216yes—
89#2705C2213yes—
90#2705C2213yes—
91#2694C2213yes—
92#2694C2213yes—
93#2682C2216yes—
94#2682C2213yes—
95#2673C2216yes—
96#2673C2213yes—
97#2673C2216yes—
98#2673C2216yes—
99#2673C2216yes—
100#2673C2216yes—
101#2673C2216yes—
102#2673C2216yes—
103#2673C2213yes—
104#2657C2213yes—
105#2657C2213yes—
106#2620C2213yes—
107#2619C2213yes—
108#2619C2213yes—
109#2619C2213yes—
110#2554C2216yes—
111#2554C2216yes—
112#2548C2213yes—
113#2544C2213yes—
114#2544C2213yes—
115#2541C2213yes—
116#2541C2213yes—
117#2541C2213yes—
118#2541C2213yes—
119#2541C2213yes—
120#2541C2213yes—
121#2541C2213yes—
122#2541C2213yes—
123#2541C2213yes—
124#2541C2213yes—
125#2541C2216yes—
126#2541C2213yes—
127#2541C2213yes—
128#2541C2213yes—
129#2541C2216yes—
130#2541C2213yes—
131#2541C2213yes—
132#2540C2213yes—
133#2540C2213yes—
134#2540C2213yes—
135#2540C2213yes—
136#2540C2213yes—
137#2540C2213yes—
138#2537C2213yes—
139#2537C2213yes—
140#2536C2213yes—
141#2535C2213yes—
142#2535C2213yes—
143#2535C2213yes—
144#2490C2216yes—
145#2471C2216yes—
146#2471C2216yes—
147#2467C2216yes—
148#2467C2216yes—
149#2456C2216yes—
150#2456C2216yes—
151#2445C2216yes—
152#2445C2216yes—
153#2431C2216yes—
154#2431C2216yes—
155#2431C2216yes—
156#2428C2216yes—
157#2428C2216yes—
158#2428C2213yes—
159#2428C2213yes—
160#2428C2213yes—
161#2428C2216yes—
162#2428C2213yes—
163#2428C2213yes—
164#2428C2213yes—
165#2428C2213yes—
166#2428C2213yes—
167#2427C2213yes—
168#2427C2213yes—
169#2426C2213yes—
170#2426C2213yes—
171#2417C2213yes—
172#2416C2213yes—
173#2416C2213yes—
174#2416C2213yes—
175#2416C2213yes—
176#2416C2213yes—
177#2415C2213yes—
178#2414C2213yes—
179#2414C2216yes—
180#2414C2213yes—
181#2414C2213yes—
182#2414C2213yes—
183#2414C2213yes—
184#2407C2216yes—
185#2397C2213yes—
186#2397C2213yes—
187#2392C2213yes—
188#2392C2213yes—
189#2392C2213yes—
190#2392C2213yes—
191#2370C2213yes—
192#2370C2213yes—
193#2369C2213yes—
194#2367C2213yes—
195#2366C2213yes—
196#2366C2213yes—
197#2363C2213yes—
198#2363C2213yes—
199#2363C2216yes—
200#2363C2213yes—
201#2361C2213yes—
202#2361C2213yes—
203#2360C2213yes—
204#2355C2213yes—
205#2352C2213yes—
206#2352C2213yes—
207#2352C2213yes—
208#2351C2211yescharacteristic
209#2351C2211yescharacteristic
210#2351C2211yescharacteristic
211Q8×C4⋊C4C2211yescharacteristic
212#2341C2211yescharacteristic
213#2341C2211yescharacteristic
214#2341C2211yescharacteristic
215#2341C2211yescharacteristic
216#2341C2211yescharacteristic
217Q8×C22⋊C4C2211yescharacteristic
218#2331C2213yes—
219#2330C2213yes—
220#2328C2213yes—
221#2328C2213yes—
222#2324C2213yes—
223#2324C2213yes—
224#2324C2213yes—
225#2323C2213yes—
226C4×#127C2213yes—
227C4×#125C2213yes—
228C4×#124C2213yes—
229C4×#121C2213yes—
230C4×#121C2213yes—
231C4×#121C2213yes—
232C4×#121C2213yes—
233#2295C2213yes—
234#2293C2213yes—
235#2290C2213yes—
236#2290C2213yes—
237#2276C2211yescharacteristic
238#2276C2211yescharacteristic
239C42×Q8C2211yescharacteristic
240C22×#41C2311yescharacteristic
241C22×#41C2311yescharacteristic
242C22×#41C2311yescharacteristic
243C22×#41C2311yescharacteristic
244C22×#41C2311yescharacteristic
245C22×#41C2316yes—
246C23×Q8C2311yescharacteristic
247#559—224no—
248#557D4116yescomplemented
249#555—224no—
250#553—224no—
251#553—224no—
252#553—224no—
253#552—224no—
254#550—224no—
255#550—28no—
256#550—28no—
257#550—28no—
258#550—28no—
259#550—28no—
260#550—28no—
261#550—44no—
262#550—44no—
263#550—44no—
264#550—44no—
265#548—28no—
266#548—28no—
267#548—28no—
268#548—44no—
269#548—44no—
270#547—224no—
271#542—224no—
272#540—224no—
273#540—224no—
274#540—224no—
275#532—224no—
276C2×C4⋊Q8C2313yes—
277C2×#127C2313yes—
278C2×#127C2313yes—
279C2×#127C2313yes—
280C2×#127C2313yes—
281C2×#127C2313yes—
282C2×#127C2313yes—
283C2×#127C2313yes—
284C2×#127C2313yes—
285C2×#127C2313yes—
286C2×#127C2313yes—
287C2×#127C2313yes—
288C2×#127C2316yes—
289C2×#127C2316yes—
290C2×#127C2316yes—
291C2×#127C2316yes—
292C2×#127C2316yes—
293#529—224no—
294#529—224no—
295#529—224no—
296C2×#126C2313yes—
297C2×#126C2311yescharacteristic
298C2×#126C2313yes—
299C2×#126C2313yes—
300C2×#126C2316yes—
301C2×#125C2311yescharacteristic
302C2×#125C2313yes—
303C2×#125C2313yes—
304C2×#125C2313yes—
305C2×#124C2313yes—
306C2×#124C2313yes—
307C2×#124C2313yes—
308C2×#124C2313yes—
309C2×#124C2313yes—
310C2×#124C2316yes—
311C2×#124C2313yes—
312C2×#124C2313yes—
313C2×#123C2313yes—
314C2×#123C2313yes—
315C2×#123C2316yes—
316C2×#123C2313yes—
317C2×#123C2313yes—
318C2×#123C2316yes—
319C2×#123C2316yes—
320C2×#123C2316yes—
321C2×C22⋊Q8C2313yes—
322C2×C22⋊Q8C2313yes—
323C2×C22⋊Q8C2313yes—
324C2×C22⋊Q8C2313yes—
325C2×C22⋊Q8C2313yes—
326C2×C22⋊Q8C2313yes—
327C2×C22⋊Q8C2313yes—
328C2×#121C2313yes—
329C2×#121C2313yes—
330C2×#121C2313yes—
331C2×#121C2313yes—
332C2×#121C2313yes—
333C2×#121C2316yes—
334C2×#121C2313yes—
335C2×#121C2313yes—
336C2×#121C2313yes—
337C2×#121C2313yes—
338C2×#121C2313yes—
339C2×#121C2313yes—
340C2×#121C2313yes—
341C2×#121C2313yes—
342C2×#121C2313yes—
343C2×#121C2313yes—
344C2×#121C2313yes—
345C2×#121C2313yes—
346C2×#121C2316yes—
347C2×#121C2316yes—
348C2×#121C2316yes—
349C2×#121C2313yes—
350C2×#121C2313yes—
351C2×#121C2313yes—
352C2×#121C2316yes—
353C2×#121C2313yes—
354C2×#121C2313yes—
355C2×#121C2313yes—
356C2×#121C2313yes—
357C2×#121C2313yes—
358C2×#121C2313yes—
359C2×#121C2313yes—
360C2×#121C2313yes—
361C2×#121C2313yes—
362C2×#121C2316yes—
363C2×#121C2316yes—
364C2×#121C2316yes—
365C2×#121C2316yes—
366C2×#121C2316yes—
367C2×#121C2316yes—
368#520—28no—
369#520—28no—
370#520—28no—
371#519—28no—
372C4×#41—28no—
373C4×#41—28no—
374C2×C4×Q8C2313yes—
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2313yes—
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2311yescharacteristic
383C2×C4×Q8C2311yescharacteristic
384C2×C4×Q8C2313yes—
385C2×C4×Q8C2311yescharacteristic
386C2×C4×D4C2313yes—
387C2×C4×D4C2313yes—
388C2×C4×D4C2313yes—
389C2×C4×D4C2313yes—
390C2×C4×D4C2313yes—
391C2×C4×D4C2313yes—
392C2×C4×D4C2313yes—
393C2×C4×D4C2313yes—
394C2×C4×D4C2313yes—
395C2×C4×D4C2313yes—
396C2×C4×D4C2313yes—
397C2×C4×D4C2313yes—
398C2×C4×D4C2313yes—
399C2×C4×D4C2313yes—
400C2×C4×D4C2313yes—
401C2×C4×D4C2316yes—
402C2×C4×D4C2313yes—
403C2×C4×D4C2313yes—
404C2×C4×D4C2313yes—
405C2×C4×D4C2313yes—
406C2×C4×D4C2316yes—
407C2×C4×D4C2313yes—
408C2×C4×D4C2313yes—
409C2×C4×D4C2313yes—
410C2×C4×D4C2313yes—
411C2×C4×D4C2313yes—
412C2×C4×D4C2313yes—
413C2×C4×D4C2316yes—
414C2×C4×D4C2316yes—
415C2×#117C2313yes—
416C2×#117C2313yes—
417C2×#117C2313yes—
418C2×#117C2313yes—
419C2×#117C2313yes—
420C2×#117C2313yes—
421C2×#117C2313yes—
422C2×#117C2316yes—
423C22×C4⋊C4C2313yes—
424C22×C4⋊C4C2313yes—
425C22×C4⋊C4C2313yes—
426C22×C42C2313yes—
427C22×C42C2313yes—
428#399C2311yescharacteristic
429#399C2311yescharacteristic
430#399C2313yes—
431#399C2313yes—
432#399C2313yes—
433#399C2313yes—
434#399C2313yes—
435#399C2313yes—
436#398C2311yescharacteristic
437#398C2311yescharacteristic
438#398C2313yes—
439#398C2313yes—
440#397C2311yescharacteristic
441#397C2313yes—
442#397C2313yes—
443#397C2313yes—
444#397C2316yes—
445#396C2313yes—
446#396C2316yes—
447#396C2311yescharacteristic
448#396C2313yes—
449#396C2313yes—
450#396C2313yes—
451#396C2313yes—
452#396C2313yes—
453#396C2313yes—
454#394C2313yes—
455#394C2313yes—
456#394C2316yes—
457#394C2316yes—
458#394C2316yes—
459#394C2316yes—
460#394C2316yes—
461#394C2316yes—
462#394C2313yes—
463#394C2313yes—
464#394C2313yes—
465#394C2313yes—
466#394C2313yes—
467#394C2313yes—
468#394C2313yes—
469#394C2313yes—
470#394C2313yes—
471#394C2313yes—
472#394C2316yes—
473#394C2316yes—
474#394C2316yes—
475#394C2316yes—
476#392C2313yes—
477#392C2316yes—
478#392C2316yes—
479#392C2316yes—
480#392C2316yes—
481#392C2316yes—
482#392C2313yes—
483#392C2313yes—
484#392C2313yes—
485#392C2313yes—
486#392C2313yes—
487#392C2313yes—
488#392C2313yes—
489#392C2313yes—
490#392C2313yes—
491#392C2313yes—
492#392C2313yes—
493#392C2316yes—
494#392C2316yes—
495#392C2316yes—
496#392C2316yes—
497#392C2316yes—
498#392C2316yes—
499#392C2316yes—
500#392C2316yes—
501#392C2316yes—
502#392C2316yes—
503#392C2316yes—
504#392C2316yes—
505#392C2316yes—
506#391C2313yes—
507#391C2313yes—
508#391C2316yes—
509#391C2313yes—
510#391C2313yes—
511#390C2313yes—
512#390C2313yes—
513#390C2313yes—
514#390C2313yes—
515#390C2313yes—
516#390C2313yes—
517#390C2313yes—
518#390C2313yes—
519#390C2313yes—
520#390C2313yes—
521#390C2316yes—
522#390C2316yes—
523#390C2313yes—
524#390C2313yes—
525#390C2313yes—
526#390C2313yes—
527#390C2313yes—
528#390C2313yes—
529#390C2313yes—
530#390C2313yes—
531#390C2316yes—
532#390C2313yes—
533#390C2316yes—
534#390C2316yes—
535#390C2316yes—
536#390C2316yes—
537#390C2313yes—
538#390C2316yes—
539#390C2316yes—
540#390C2316yes—
541#390C2316yes—
542#389C2313yes—
543#389C2313yes—
544#389C2313yes—
545#389C2313yes—
546#389C2313yes—
547#389C2313yes—
548#389C2313yes—
549#389C2313yes—
550#389C2316yes—
551#389C2313yes—
552#389C2313yes—
553#389C2313yes—
554#389C2313yes—
555#389C2313yes—
556#389C2311yescharacteristic
557#388C2316yes—
558#388C2316yes—
559#388C2316yes—
560#388C2316yes—
561#388C2313yes—
562#388C2316yes—
563#388C2313yes—
564#388C2313yes—
565#388C2313yes—
566#388C2313yes—
567#388C2316yes—
568#388C2313yes—
569#388C2313yes—
570#388C2316yes—
571#388C2311yescharacteristic
572#388C2313yes—
573#388C2313yes—
574#388C2313yes—
575#388C2311yescharacteristic
576#387C2313yes—
577#387C2316yes—
578#387C2316yes—
579#387C2316yes—
580#387C2316yes—
581#387C2313yes—
582#387C2313yes—
583#387C2313yes—
584#387C2313yes—
585#387C2311yescharacteristic
586#387C2311yescharacteristic
587#387C2311yescharacteristic
588#386C2316yes—
589#386C2316yes—
590#386C2316yes—
591#386C2313yes—
592#386C2313yes—
593#386C2316yes—
594#386C2316yes—
595#386C2316yes—
596#386C2316yes—
597#386C2316yes—
598#386C2316yes—
599#386C2316yes—
600#386C2316yes—
601#386C2313yes—
602#386C2313yes—
603#386C2316yes—
604#386C2316yes—
605#386C2316yes—
606#386C2316yes—
607#386C2313yes—
608#386C2313yes—
609#386C2313yes—
610#386C2313yes—
611#385C2313yes—
612#385C2313yes—
613#385C2316yes—
614#385C2313yes—
615#385C2313yes—
616#384C2311yescharacteristic
617#384C2313yes—
618#382C2313yes—
619#382C2313yes—
620#382C2313yes—
621#380C2313yes—
622#380C2313yes—
623#380C2313yes—
624#380C2313yes—
625#380C2313yes—
626#380C2313yes—
627#380C2316yes—
628#380C2313yes—
629#380C2313yes—
630C4×C4⋊C4C2313yes—
631C4×C4⋊C4C2313yes—
632C4×C4⋊C4C2316yes—
633C4×C4⋊C4C2316yes—
634C4×C4⋊C4C2313yes—
635C4×C4⋊C4C2313yes—
636C4×C4⋊C4C2313yes—
637C4×C4⋊C4C2313yes—
638C4×C4⋊C4C2313yes—
639C4×C4⋊C4C2313yes—
640C4×C4⋊C4C2313yes—
641C4×C4⋊C4C2313yes—
642C4×C4⋊C4C2313yes—
643C4×C4⋊C4C2313yes—
644C4×C4⋊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⋊C4C2316yes—
654C4×C22⋊C4C2316yes—
655#376C2313yes—
656#376C2313yes—
657C43C2313yes—
658C2×#41—24no—
659C2×#41—24no—
660C2×#41—24no—
661C2×#41—24no—
662C2×#41—24no—
663C2×#41—224no—
664C2×#41—24no—
665C2×#41—24no—
666C2×#41—24no—
667C2×#41—24no—
668C2×#41—24no—
669C2×#41—24no—
670C2×#41—24no—
671C2×#41—24no—
672C2×#41—24no—
673C2×#41—24no—
674C2×#41—86no—
675C2×#41—86no—
676C22×Q8—24no—
677C22×Q8—24no—
678C22×Q8—24no—
679C22×Q8C2413yes—
680C22×Q8C2413yes—
681C22×Q8C2411yescharacteristic
682C22×D4C2413yes—
683C22×D4C2413yes—
684C22×D4C2413yes—
685C22×D4C2413yes—
686C22×D4C2413yes—
687C22×D4C2413yes—
688C22×D4C2416yes—
689C22×D4C2413yes—
690C22×D4C2413yes—
691C22×D4C2416yes—
692C22×D4C2413yes—
693C22×D4C2413yes—
694C22×D4C2413yes—
695C22×D4C2413yes—
696C22×D4C2416yes—
697C22×D4C2416yes—
698C22×D4C2413yes—
699C22×D4C2413yes—
700C22×D4C2413yes—
701C22×D4C2413yes—
702C22×D4C2416yes—
703C22×D4C2416yes—
704C22×D4C2413yes—
705C22×D4C2413yes—
706C22×D4C2413yes—
707C22×D4C2413yes—
708C22×D4C2416yes—
709C22×D4C2416yes—
710C22×D4C2416yes—
711C22×D4C2416yes—
712C23×C4C2413yes—
713C23×C4C2413yes—
714C23×C4C2413yes—
715C23×C4C2413yes—
716C23×C4C2413yes—
717C23×C4C2413yes—
718C23×C4C2416yes—
719C23×C4C2416yes—
720C23×C4C2416yes—
721C23×C4C2413yes—
722C23×C4C2413yes—
723C23×C4C2413yes—
724C23×C4C2413yes—
725C4⋊Q8C2×D4124yes—
726#127—212no—
727#127—212no—
728#127—212no—
729#127—212no—
730#127—212no—
731#127—212no—
732#127—46no—
733#127—46no—
734#127—46no—
735#127—46no—
736#127—46no—
737#127—86no—
738#127—86no—
739#127—86no—
740#127—86no—
741#127—86no—
742#126—24no—
743#126—212no—
744#126—212no—
745#126—212no—
746#126—224no—
747#125—24no—
748#125—212no—
749#125C2×D4124yes—
750#125C2×D4124yes—
751#124—212no—
752#124—212no—
753#124—224no—
754#124—212no—
755#124—212no—
756#124—212no—
757#124—46no—
758#124—46no—
759#123—212no—
760#123—212no—
761#123—224no—
762#123—212no—
763#123—212no—
764#123—224no—
765#123—224no—
766#123—224no—
767C22⋊Q8—212no—
768C22⋊Q8—212no—
769C22⋊Q8—212no—
770C22⋊Q8—212no—
771C22⋊Q8—212no—
772C22⋊Q8—46no—
773C22⋊Q8—46no—
774#121—212no—
775#121—212no—
776#121—212no—
777#121—224no—
778#121—212no—
779#121—212no—
780#121—212no—
781#121—212no—
782#121—212no—
783#121—212no—
784#121—224no—
785#121—224no—
786#121—212no—
787#121—212no—
788#121—224no—
789#121—212no—
790#121—212no—
791#121—212no—
792#121—212no—
793#121—212no—
794#121—212no—
795#121—46no—
796#121—46no—
797#121—412no—
798#121—46no—
799#121—46no—
800#121—46no—
801#121—46no—
802#121—46no—
803#121—46no—
804#121—46no—
805#121—46no—
806#121—46no—
807#121—46no—
808#121—86no—
809#121—86no—
810#121—86no—
811#121—86no—
812#121—86no—
813#121—86no—
814C4×Q8—24no—
815C4×Q8—24no—
816C4×Q8—24no—
817C4×Q8—24no—
818C4×Q8—24no—
819C4×Q8—212no—
820C4×Q8—212no—
821C4×Q8C2×D418yes—
822C4×Q8C2×D418yes—
823C4×Q8C2×D418yes—
824C4×Q8C2×D4124yes—
825C4×Q8#4118yescomplemented
826C4×D4—212no—
827C4×D4—212no—
828C4×D4—212no—
829C4×D4—212no—
830C4×D4—212no—
831C4×D4—224no—
832C4×D4—224no—
833C4×D4—212no—
834C4×D4—212no—
835C4×D4—212no—
836C4×D4—212no—
837C4×D4—212no—
838C4×D4—212no—
839C4×D4—212no—
840C4×D4—212no—
841C4×D4—212no—
842C4×D4—212no—
843C4×D4—212no—
844C4×D4—212no—
845C4×D4—212no—
846C4×D4—212no—
847C4×D4—46no—
848C4×D4—46no—
849C4×D4—46no—
850C4×D4—46no—
851C4×D4—46no—
852C4×D4—46no—
853C4×D4—86no—
854C4×D4—86no—
855#117—212no—
856#117—212no—
857#117—212no—
858#117—224no—
859#117—212no—
860#117—212no—
861#117—212no—
862#117—212no—
863C2×C4⋊C4—212no—
864C2×C4⋊C4—212no—
865C2×C4⋊C4—212no—
866C2×C4⋊C4C2413yes—
867C2×C4⋊C4C2413yes—
868C2×C4⋊C4C2413yes—
869C2×C4⋊C4C2413yes—
870C2×C4⋊C4C2413yes—
871C2×C4⋊C4C2411yescharacteristic
872C2×C4⋊C4C2411yescharacteristic
873C2×C4⋊C4C2411yescharacteristic
874C2×C4⋊C4C2413yes—
875C2×C4⋊C4C2413yes—
876C2×C4⋊C4C2413yes—
877C2×C4⋊C4C2411yescharacteristic
878C2×C4⋊C4C2411yescharacteristic
879C2×C4⋊C4C2411yescharacteristic
880C2×C4⋊C4C2411yescharacteristic
881C2×C4⋊C4C2411yescharacteristic
882C2×C4⋊C4C2411yescharacteristic
883C2×C4⋊C4C2413yes—
884C2×C4⋊C4C2413yes—
885C2×C4⋊C4C2413yes—
886C2×C4⋊C4C2413yes—
887C2×C4⋊C4C2413yes—
888C2×C4⋊C4C2413yes—
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2413yes—
895C2×C4⋊C4C2413yes—
896C2×C4⋊C4C2413yes—
897C2×C4⋊C4C2413yes—
898C2×C4⋊C4C2413yes—
899C2×C4⋊C4C2416yes—
900C2×C4⋊C4C2413yes—
901C2×C4⋊C4C2413yes—
902C2×C4⋊C4C2413yes—
903C2×C4⋊C4C2413yes—
904C2×C4⋊C4C2413yes—
905C2×C4⋊C4C2413yes—
906C2×C4⋊C4C2416yes—
907C2×C4⋊C4C2413yes—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2413yes—
910C2×C4⋊C4C2413yes—
911C2×C22⋊C4C2411yescharacteristic
912C2×C22⋊C4C2413yes—
913C2×C22⋊C4C2413yes—
914C2×C22⋊C4C2413yes—
915C2×C22⋊C4C2413yes—
916C2×C22⋊C4C2416yes—
917C2×C22⋊C4C2413yes—
918C2×C22⋊C4C2413yes—
919C2×C22⋊C4C2413yes—
920C2×C22⋊C4C2416yes—
921C2×C22⋊C4C2413yes—
922C2×C22⋊C4C2416yes—
923C2×C22⋊C4C2413yes—
924C2×C22⋊C4C2413yes—
925C2×C22⋊C4C2411yescharacteristic
926C2×C22⋊C4C2413yes—
927C2×C22⋊C4C2411yescharacteristic
928C2×C22⋊C4C2411yescharacteristic
929C2×C22⋊C4C2413yes—
930C2×C22⋊C4C2413yes—
931C2×C22⋊C4C2413yes—
932C2×C22⋊C4C2413yes—
933C2×C22⋊C4C2413yes—
934C2×C22⋊C4C2413yes—
935C2×C22⋊C4C2413yes—
936C2×C22⋊C4C2413yes—
937C2×C22⋊C4C2413yes—
938C2×C22⋊C4C2416yes—
939C2×C22⋊C4C2413yes—
940C2×C22⋊C4C2413yes—
941C2×C22⋊C4C2413yes—
942C2×C22⋊C4C2411yescharacteristic
943C2×C22⋊C4C2416yes—
944C2×C22⋊C4C2411yescharacteristic
945C2×C22⋊C4C2411yescharacteristic
946C2×C22⋊C4C2413yes—
947C2×C22⋊C4C2413yes—
948C2×C22⋊C4C2413yes—
949C2×C22⋊C4C2413yes—
950C2×C22⋊C4C2413yes—
951C2×C22⋊C4C2413yes—
952C2×C22⋊C4C2413yes—
953C2×C22⋊C4C2413yes—
954C2×C22⋊C4C2413yes—
955C2×C22⋊C4C2413yes—
956C2×C22⋊C4C2416yes—
957C2×C22⋊C4C2416yes—
958C2×C22⋊C4C2413yes—
959C2×C22⋊C4C2413yes—
960C2×C22⋊C4C2413yes—
961C2×C22⋊C4C2416yes—
962C2×C22⋊C4C2416yes—
963C2×C22⋊C4C2413yes—
964C2×C22⋊C4C2413yes—
965C2×C22⋊C4C2413yes—
966C2×C22⋊C4C2413yes—
967C2×C22⋊C4C2413yes—
968C2×C22⋊C4C2416yes—
969C2×C22⋊C4C2416yes—
970C2×C22⋊C4C2416yes—
971C2×C22⋊C4C2413yes—
972C2×C22⋊C4C2413yes—
973C2×C42—212no—
974C2×C42—212no—
975C2×C42C2413yes—
976C2×C42C2413yes—
977C2×C42C2413yes—
978C2×C42C2413yes—
979C2×C42C2416yes—
980C2×C42C2413yes—
981C2×C42C2413yes—
982C2×C42C2413yes—
983C2×C42C2411yescharacteristic
984C2×C42C2411yescharacteristic
985C2×C42C2411yescharacteristic
986C2×C42C2416yes—
987C2×C42C2416yes—
988C2×C42C2413yes—
989C2×C42C2413yes—
990C2×C42C2413yes—
991C2×C42C2413yes—
992C2×C42C2413yes—
993C2×C42C2413yes—
994C2×C42C2413yes—
995#95C2411yescharacteristic
996#95C2411yescharacteristic
997#95C2413yes—
998#95C2413yes—
999#95C2413yes—
1000#95C2413yes—
1001#95C2413yes—
1002#95C2413yes—
1003#95C2413yes—
1004#95C2411yescharacteristic
1005#95C2413yes—
1006#95C2416yes—
1007#95C2411yescharacteristic
1008#95C2411yescharacteristic
1009#95C2411yescharacteristic
1010#95C2411yescharacteristic
1011#95C2413yes—
1012#95C2413yes—
1013#95C2413yes—
1014#95C2413yes—
1015#95C2413yes—
1016#95C2416yes—
1017#95C2413yes—
1018#95C2413yes—
1019#95C2416yes—
1020#95C2411yescharacteristic
1021#95C2413yes—
1022#95C2411yescharacteristic
1023#95C2411yescharacteristic
1024#95C2413yes—
1025#95C2416yes—
1026#95C2416yes—
1027#95C2413yes—
1028C24C2511yescharacteristic
1029C24C2513yes—
1030C24C2513yes—
1031C24C2513yes—
1032C24C2513yes—
1033C24C2513yes—
1034#41—416no—
1035#41—416no—
1036#41—416no—
1037#41—416no—
1038#41—416no—
1039#41—848no—
1040C2×Q8—26no—
1041C2×Q8—26no—
1042C2×Q8—26no—
1043C2×Q8—43no—
1044C2×Q8—43no—
1045C2×Q8—416no—
1046C2×Q8C22×D4112yes—
1047C2×Q8C22×D414yes—
1048C2×Q8C2×#4114yes—
1049C2×Q8H(5,𝔽2)14yes—
1050C2×D4—26no—
1051C2×D4—26no—
1052C2×D4—26no—
1053C2×D4—26no—
1054C2×D4—26no—
1055C2×D4—26no—
1056C2×D4—26no—
1057C2×D4—26no—
1058C2×D4—212no—
1059C2×D4—212no—
1060C2×D4—26no—
1061C2×D4—26no—
1062C2×D4—26no—
1063C2×D4—212no—
1064C2×D4—212no—
1065C2×D4—26no—
1066C2×D4—26no—
1067C2×D4—26no—
1068C2×D4—26no—
1069C2×D4—26no—
1070C2×D4—26no—
1071C2×D4—26no—
1072C2×D4—26no—
1073C2×D4—212no—
1074C2×D4—212no—
1075C2×D4—26no—
1076C2×D4—26no—
1077C2×D4—26no—
1078C2×D4—26no—
1079C2×D4—26no—
1080C2×D4—26no—
1081C2×D4—26no—
1082C2×D4—43no—
1083C2×D4—43no—
1084C2×D4—43no—
1085C2×D4—43no—
1086C2×D4—43no—
1087C2×D4—43no—
1088C2×D4—43no—
1089C2×D4—43no—
1090C2×D4—46no—
1091C2×D4—46no—
1092C2×D4—46no—
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—43no—
1103C2×D4—46no—
1104C2×D4—46no—
1105C2×D4—46no—
1106C2×D4—46no—
1107C2×D4—43no—
1108C2×D4—43no—
1109C2×D4—43no—
1110C2×D4—43no—
1111C2×D4—43no—
1112C2×D4—46no—
1113C2×D4—46no—
1114C2×D4—43no—
1115C2×D4—43no—
1116C2×D4—43no—
1117C2×D4—43no—
1118C2×D4—43no—
1119C2×D4—43no—
1120C2×D4—43no—
1121C2×D4—43no—
1122C2×D4—43no—
1123C2×D4—43no—
1124C2×D4—43no—
1125C2×D4—46no—
1126C2×D4—46no—
1127C2×D4—46no—
1128C2×D4—46no—
1129C2×D4—46no—
1130C2×D4—46no—
1131C2×D4—46no—
1132C2×D4—46no—
1133C2×D4—46no—
1134C2×D4—46no—
1135C2×D4—46no—
1136C2×D4—46no—
1137C2×D4—46no—
1138C2×D4—46no—
1139C2×D4—46no—
1140C22×C4—26no—
1141C22×C4—26no—
1142C22×C4—26no—
1143C22×C4—26no—
1144C22×C4—26no—
1145C22×C4—26no—
1146C22×C4—26no—
1147C22×C4—26no—
1148C22×C4—26no—
1149C22×C4—26no—
1150C22×C4—26no—
1151C22×C4—26no—
1152C22×C4—26no—
1153C22×C4—26no—
1154C22×C4—26no—
1155C22×C4—26no—
1156C22×C4—26no—
1157C22×C4—26no—
1158C22×C4—26no—
1159C22×C4—26no—
1160C22×C4—26no—
1161C22×C4—26no—
1162C22×C4—212no—
1163C22×C4—212no—
1164C22×C4—212no—
1165C22×C4—43no—
1166C22×C4—43no—
1167C22×C4—43no—
1168C22×C4—43no—
1169C22×C4—46no—
1170C22×C4—46no—
1171C22×C4—43no—
1172C22×C4—43no—
1173C22×C4—46no—
1174C22×C4—43no—
1175C22×C4—43no—
1176C22×C4—46no—
1177C22×C4—46no—
1178C22×C4—46no—
1179C22×C4C2511yescharacteristic
1180C22×C4C2513yes—
1181C22×C4C2513yes—
1182C22×C4C2511yescharacteristic
1183C22×C4C2513yes—
1184C22×C4C2513yes—
1185C22×C4C2511yescharacteristic
1186C22×C4C2513yes—
1187C22×C4C2511yescharacteristic
1188C22×C4C2511yescharacteristic
1189C22×C4C2511yescharacteristic
1190C22×C4C2513yes—
1191C22×C4C2511yescharacteristic
1192C22×C4C2511yescharacteristic
1193C22×C4C2511yescharacteristic
1194C22×C4C2511yescharacteristic
1195C22×C4C2511yescharacteristic
1196C22×C4C2513yes—
1197C22×C4C2513yes—
1198C22×C4C2511yescharacteristic
1199C22×C4C2513yes—
1200C22×C4C2511yescharacteristic
1201C22×C4C2513yes—
1202C22×C4C2511yescharacteristic
1203C22×C4C2513yes—
1204C4⋊C4—26no—
1205C4⋊C4—26no—
1206C4⋊C4—26no—
1207C4⋊C4—26no—
1208C4⋊C4—26no—
1209C4⋊C4—22no—
1210C4⋊C4—22no—
1211C4⋊C4—22no—
1212C4⋊C4—26no—
1213C4⋊C4—26no—
1214C4⋊C4—26no—
1215C4⋊C4—22no—
1216C4⋊C4—22no—
1217C4⋊C4—22no—
1218C4⋊C4—22no—
1219C4⋊C4—26no—
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—26no—
1223C4⋊C4—26no—
1224C4⋊C4—26no—
1225C4⋊C4—26no—
1226C4⋊C4—22no—
1227C4⋊C4—26no—
1228C4⋊C4—41no—
1229C4⋊C4—41no—
1230C4⋊C4—41no—
1231C4⋊C4—41no—
1232C4⋊C4—43no—
1233C4⋊C4—43no—
1234C4⋊C4—43no—
1235C4⋊C4—43no—
1236C4⋊C4—43no—
1237C4⋊C4—43no—
1238C4⋊C4—43no—
1239C4⋊C4—43no—
1240C4⋊C4—46no—
1241C4⋊C4C22×D4112yes—
1242C4⋊C4C22×D4112yes—
1243C4⋊C4C22×D4112yes—
1244C4⋊C4C22×D4124yes—
1245C4⋊C4C22×D4112yes—
1246C4⋊C4C22×D414yes—
1247C4⋊C4C22×D4112yes—
1248C4⋊C4C2×#41112yes—
1249C22⋊C4—22no—
1250C22⋊C4—26no—
1251C22⋊C4—26no—
1252C22⋊C4—26no—
1253C22⋊C4—26no—
1254C22⋊C4—212no—
1255C22⋊C4—26no—
1256C22⋊C4—26no—
1257C22⋊C4—26no—
1258C22⋊C4—212no—
1259C22⋊C4—26no—
1260C22⋊C4—212no—
1261C22⋊C4—26no—
1262C22⋊C4—26no—
1263C22⋊C4—22no—
1264C22⋊C4—26no—
1265C22⋊C4—22no—
1266C22⋊C4—26no—
1267C22⋊C4—26no—
1268C22⋊C4—26no—
1269C22⋊C4—26no—
1270C22⋊C4—26no—
1271C22⋊C4—212no—
1272C22⋊C4—26no—
1273C22⋊C4—22no—
1274C22⋊C4—26no—
1275C22⋊C4—26no—
1276C22⋊C4—26no—
1277C22⋊C4—26no—
1278C22⋊C4—26no—
1279C22⋊C4—212no—
1280C22⋊C4—22no—
1281C22⋊C4—26no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—43no—
1285C22⋊C4—43no—
1286C22⋊C4—43no—
1287C22⋊C4—43no—
1288C22⋊C4—43no—
1289C22⋊C4—43no—
1290C22⋊C4—43no—
1291C22⋊C4—43no—
1292C22⋊C4—43no—
1293C22⋊C4—43no—
1294C22⋊C4—43no—
1295C22⋊C4—43no—
1296C22⋊C4—46no—
1297C22⋊C4—46no—
1298C22⋊C4—46no—
1299C22⋊C4—43no—
1300C22⋊C4—43no—
1301C22⋊C4—46no—
1302C22⋊C4—46no—
1303C22⋊C4—43no—
1304C22⋊C4—46no—
1305C22⋊C4—43no—
1306C22⋊C4—43no—
1307C22⋊C4—43no—
1308C22⋊C4—46no—
1309C22⋊C4—43no—
1310C22⋊C4—43no—
1311C42—22no—
1312C42—22no—
1313C42—26no—
1314C42—26no—
1315C42—26no—
1316C42—26no—
1317C42—212no—
1318C42—26no—
1319C42—26no—
1320C42—26no—
1321C42—22no—
1322C42—46no—
1323C42—46no—
1324C42—43no—
1325C42—43no—
1326C42—43no—
1327C42C22×D4112yes—
1328C42C22×D4112yes—
1329C42C22×D4112yes—
1330C42C2×#41112yes—
1331C23—23no—
1332C23—23no—
1333C23—21no—
1334C23—23no—
1335C23—23no—
1336C23—23no—
1337C23—23no—
1338C23—21no—
1339C23—23no—
1340C23—23no—
1341C23—23no—
1342C23—23no—
1343C23—23no—
1344C23—23no—
1345C23—21no—
1346C23—23no—
1347C23—23no—
1348C23—23no—
1349C23—21no—
1350C23—23no—
1351C23—23no—
1352C23—23no—
1353C23—23no—
1354C23—23no—
1355C23—21no—
1356C23—23no—
1357C23—23no—
1358C23—23no—
1359C23—23no—
1360C23—23no—
1361C23—23no—
1362C23—23no—
1363C23—23no—
1364C23—23no—
1365C23—23no—
1366C23—23no—
1367C23—23no—
1368C23—23no—
1369C23—23no—
1370C23—23no—
1371C23—21no—
1372C23—21no—
1373C23C2611yescharacteristic
1374Q8—412no—
1375Q8—412no—
1376Q8#550116yes—
1377D4—412no—
1378D4—412no—
1379D4—412no—
1380D4—412no—
1381D4—412no—
1382D4—412no—
1383D4—86no—
1384D4—86no—
1385D4—812no—
1386D4—86no—
1387D4—86no—
1388D4—86no—
1389D4—86no—
1390D4—86no—
1391D4—812no—
1392D4—86no—
1393D4—812no—
1394D4—812no—
1395D4—86no—
1396D4—86no—
1397D4—812no—
1398D4—812no—
1399D4—86no—
1400D4—86no—
1401D4—86no—
1402D4—86no—
1403D4—166no—
1404D4—166no—
1405D4—166no—
1406D4—166no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—23no—
1411C2×C4—21no—
1412C2×C4—23no—
1413C2×C4—23no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—23no—
1418C2×C4—23no—
1419C2×C4—23no—
1420C2×C4—23no—
1421C2×C4—21no—
1422C2×C4—23no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—23no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—23no—
1431C2×C4—23no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—23no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—23no—
1444C2×C4—23no—
1445C2×C4—23no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—23no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—23no—
1454C2×C4—21no—
1455C2×C4—23no—
1456C2×C4—23no—
1457C2×C4—23no—
1458C2×C4—23no—
1459C2×C4—23no—
1460C2×C4—21no—
1461C2×C4—23no—
1462C2×C4—23no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—23no—
1468C2×C4—21no—
1469C2×C4—23no—
1470C2×C4—412no—
1471C2×C4—412no—
1472C2×C4—412no—
1473C2×C4—412no—
1474C2×C4—412no—
1475C2×C4—412no—
1476C2×C4—412no—
1477C2×C4—812no—
1478C2×C4—86no—
1479C2×C4—86no—
1480C2×C4—86no—
1481C2×C4—812no—
1482C2×C4—812no—
1483C2×C4C23×D416yes—
1484C2×C4C23×D412yes—
1485C2×C4C23×D412yes—
1486C2×C4C23×D416yes—
1487C2×C4C23×D416yes—
1488C2×C4C23×D412yes—
1489C2×C4C23×D416yes—
1490C2×C4C22×#4112yes—
1491C2×C4C22×#4116yes—
1492C2×C4C22×#4116yes—
1493C2×C4C2×H(5,𝔽2)16yes—
1494C2×C4#58512yes—
1495C22—43no—
1496C22—43no—
1497C22—43no—
1498C22—41no—
1499C22—43no—
1500C22—43no—
1501C22—43no—
1502C22—43no—
1503C22—43no—
1504C22—43no—
1505C22—43no—
1506C22—41no—
1507C22—41no—
1508C22—43no—
1509C22—43no—
1510C22—43no—
1511C22—43no—
1512C22—43no—
1513C22—43no—
1514C22—43no—
1515C22—43no—
1516C22—43no—
1517C22—41no—
1518C22—43no—
1519C22—41no—
1520C22—43no—
1521C22—43no—
1522C22—43no—
1523C22—43no—
1524C22—43no—
1525C22—41no—
1526C22—43no—
1527C22—43no—
1528C22—43no—
1529C22—43no—
1530C22—43no—
1531C22—41no—
1532C22—43no—
1533C22—43no—
1534C22—43no—
1535C22—43no—
1536C22—43no—
1537C22C24×D411yescharacteristic
1538C22C23×#4111yescharacteristic
1539C22C22×H(5,𝔽2)11yescharacteristic
1540C22C2×#58511yescharacteristic
1541C22H(7,𝔽2)11yescharacteristic
1542C22H(7,𝔽2)11yescharacteristic
1543C22H(7,𝔽2)11yescharacteristic
1544C4—26no—
1545C4—22no—
1546C4—22no—
1547C4—22no—
1548C4—22no—
1549C4—26no—
1550C4—26no—
1551C4—26no—
1552C4—22no—
1553C4—41no—
1554C4—43no—
1555C4—41no—
1556C4—43no—
1557C4—43no—
1558C4—43no—
1559C4—41no—
1560C4—41no—
1561C4—43no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—43no—
1568C4C2×#550112yes—
1569C2—83no—
1570C2—83no—
1571C2—83no—
1572C2—83no—
1573C2—81no—
1574C2—83no—
1575C2C22×#55011yescharacteristic
1576C2#6285211yescharacteristic
1577C2#6285811yescharacteristic
1578C2#6289911yescharacteristic
1579C2#6300311yescharacteristic
1580C2#6300611yescharacteristic
1581C2#6306611yescharacteristic
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×#3524C2semidirect
2. C2×#3517C2semidirect
3. #59824C2semidirect
4. #59058C2semidirect
5. #59056C2semidirect
6. #52160C2semidirect
7. #45423C2semidirect
8. #45064C2semidirect
9. #45036C2semidirect
10. #45036C2semidirect
11. #44933C2semidirect
12. #44882C2semidirect
13. #39745C2semidirect
14. #39386C2semidirect
15. #39138C2semidirect
16. #39130C2semidirect
17. #37775C2semidirect
18. #37772C2semidirect
19. #36592C2semidirect
20. #36455C2semidirect
21. #36430C2semidirect
22. #36066C2semidirect
23. #36066C2semidirect
24. #36029C2semidirect
25. #36029C2semidirect
26. #36018C2semidirect
27. #35831C2semidirect
28. #34336C2semidirect
29. #34312C2semidirect
30. #34295C2semidirect
31. #34295C2semidirect
248. #557D4semidirect
825. C4×Q8#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35242
C2×#35172
#598242
#590582
#590562
#521602
#454232
#450642
#450362
#449332
#448822
#397452
#393862
#391382
#391302
#377752
#377722
#365922
#364552
#364302
#360662
#360292
#360182
#358312
#343362
#343122
#342952