Finite Group Databasebeta

← #7712495

Subgroups — #7712495

Order 512.

5222 conjugacy classes of subgroups.

The subgroup lattice has 1575 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59995C214yesmaximal, complemented
2#59092C214yesmaximal, complemented
3#46099C212yesmaximal, complemented
4#46090C212yesmaximal, complemented
5#45958C212yesmaximal, complemented
6#45940C212yesmaximal, complemented
7#39810C212yesmaximal, complemented
8#39765C211yesmaximal, characteristic, complemented
9#39739C211yesmaximal, characteristic, complemented
10#39674C212yesmaximal, complemented
11#39628C211yesmaximal, characteristic, complemented
12#39621C211yesmaximal, characteristic, complemented
13#38830C212yesmaximal, complemented
14#38769C212yesmaximal, complemented
15#38486C212yesmaximal, complemented
16#38425C212yesmaximal, complemented
17#38301C214yesmaximal, complemented
18#38141C214yesmaximal, complemented
19#37572C212yesmaximal, complemented
20#37352C212yesmaximal, complemented
21#37336C212yesmaximal, complemented
22#36639C211yesmaximal, characteristic, complemented
23#36631C211yesmaximal, characteristic, complemented
24#36580C212yesmaximal, complemented
25#36140C212yesmaximal, complemented
26#36139C212yesmaximal, complemented
27#36126C212yesmaximal, complemented
28#35303C212yesmaximal, complemented
29#35270C212yesmaximal, complemented
30#34500C212yesmaximal, complemented
31C2×#2295C211yesmaximal, characteristic, complemented
32C2×#559C2212yes—
33C2×#547C2214yes—
34C2×#533C2211yescharacteristic
35C2×#532C2211yescharacteristic
36C2×#532C2212yes—
37C2×#529C2212yes—
38C2×#529C2212yes—
39C22×C4×Q8C2211yescharacteristic
40#2862C2211yescharacteristic
41#2862C2211yescharacteristic
42#2861C2212yes—
43#2861C2212yes—
44#2861C2212yes—
45#2860C2212yes—
46#2860C2212yes—
47#2859C2211yescharacteristic
48#2858C2211yescharacteristic
49#2858C2211yescharacteristic
50#2858C2211yescharacteristic
51#2857C2211yescharacteristic
52#2856C2211yescharacteristic
53#2856C2212yes—
54#2855C2212yes—
55#2854C2212yes—
56#2854C2212yes—
57#2854C2212yes—
58#2850C2212yes—
59#2850C2212yes—
60#2850C2212yes—
61#2850C2212yes—
62#2850C2212yes—
63#2850C2212yes—
64#2837C2214yes—
65#2832C2214yes—
66#2811C2212yes—
67#2808C2212yes—
68#2808C2212yes—
69#2806C2212yes—
70#2806C2212yes—
71#2804C2212yes—
72#2804C2212yes—
73#2804C2212yes—
74#2797C2214yes—
75#2788C2214yes—
76#2775C2214yes—
77#2772C2214yes—
78#2768C2214yes—
79#2768C2214yes—
80#2765C2214yes—
81#2763C2214yes—
82#2763C2214yes—
83#2759C2214yes—
84#2752C2214yes—
85#2734C2212yes—
86#2733C2212yes—
87#2733C2212yes—
88#2732C2212yes—
89#2732C2212yes—
90#2730C2214yes—
91#2729C2214yes—
92#2724C2212yes—
93#2716C2214yes—
94#2712C2214yes—
95#2712C2214yes—
96#2710C2214yes—
97#2710C2214yes—
98#2705C2214yes—
99#2701C2214yes—
100#2698C2214yes—
101#2691C2214yes—
102#2686C2214yes—
103#2682C2212yes—
104#2682C2212yes—
105#2672C2214yes—
106#2663C2214yes—
107#2660C2212yes—
108#2657C2212yes—
109#2653C2214yes—
110#2653C2214yes—
111#2649C2214yes—
112#2647C2212yes—
113#2645C2212yes—
114#2644C2212yes—
115#2641C2212yes—
116#2640C2212yes—
117#2640C2212yes—
118#2610C2214yes—
119#2610C2214yes—
120#2603C2214yes—
121#2603C2214yes—
122#2602C2214yes—
123#2597C2214yes—
124#2592C2212yes—
125#2592C2212yes—
126#2589C2214yes—
127#2586C2214yes—
128#2583C2214yes—
129#2582C2212yes—
130#2580C2212yes—
131#2580C2212yes—
132#2557C2214yes—
133#2557C2214yes—
134#2556C2214yes—
135#2551C2212yes—
136#2550C2212yes—
137#2550C2212yes—
138#2548C2212yes—
139#2545C2212yes—
140#2544C2212yes—
141#2543C2214yes—
142#2543C2214yes—
143#2541C2212yes—
144#2532C2214yes—
145#2530C2214yes—
146#2529C2214yes—
147#2527C2214yes—
148#2521C2214yes—
149#2519C2214yes—
150#2510C2214yes—
151#2491C2214yes—
152#2488C2214yes—
153#2488C2214yes—
154#2477C2214yes—
155#2475C2214yes—
156#2474C2214yes—
157#2473C2214yes—
158#2470C2214yes—
159#2469C2214yes—
160#2468C2214yes—
161#2461C2214yes—
162#2461C2214yes—
163#2459C2214yes—
164#2458C2214yes—
165#2458C2214yes—
166#2458C2214yes—
167#2456C2214yes—
168#2456C2214yes—
169#2454C2212yes—
170#2453C2212yes—
171#2452C2212yes—
172#2452C2212yes—
173#2452C2212yes—
174#2451C2212yes—
175#2451C2214yes—
176#2450C2214yes—
177#2450C2214yes—
178#2450C2214yes—
179#2449C2214yes—
180#2448C2212yes—
181#2448C2214yes—
182#2447C2212yes—
183#2446C2212yes—
184#2445C2212yes—
185#2445C2212yes—
186#2445C2212yes—
187#2443C2214yes—
188#2443C2214yes—
189#2443C2214yes—
190#2436C2214yes—
191#2430C2214yes—
192#2430C2214yes—
193#2430C2214yes—
194#2430C2214yes—
195#2425C2214yes—
196#2419C2214yes—
197#2416C2214yes—
198#2413C2214yes—
199#2406C2214yes—
200#2379C2214yes—
201#2376C2214yes—
202#2367C2212yes—
203#2367C2212yes—
204#2367C2214yes—
205#2366C2212yes—
206#2362C2214yes—
207#2361C2214yes—
208#2361C2214yes—
209#2359C2214yes—
210#2359C2214yes—
211#2359C2214yes—
212#2355C2212yes—
213#2352C2214yes—
214#2351C2212yes—
215#2349C2212yes—
216D4×C4⋊C4C2212yes—
217#2339C2214yes—
218#2337C2214yes—
219#2335C2214yes—
220#2331C2212yes—
221#2328C2212yes—
222#2328C2212yes—
223#2326C2212yes—
224#2326C2212yes—
225#2326C2212yes—
226#2322C2214yes—
227#2320C2212yes—
228#2319C2212yes—
229#2318C2214yes—
230C4×C4⋊Q8C2211yescharacteristic
231C4×#127C2211yescharacteristic
232C4×#124C2212yes—
233C4×#124C2212yes—
234C4×#124C2212yes—
235C4×#124C2212yes—
236C4×#124C2212yes—
237C4×C22⋊Q8C2212yes—
238C4×#121C2212yes—
239C4×#121C2212yes—
240C4×#121C2212yes—
241#2297C2212yes—
242#2297C2212yes—
243#2295C2211yescharacteristic
244#2295C2211yescharacteristic
245#2295C2212yes—
246#2295C2211yescharacteristic
247#2295C2211yescharacteristic
248#2295C2212yes—
249#2295C2211yescharacteristic
250#2295C2212yes—
251#2295C2211yescharacteristic
252#2295C2211yescharacteristic
253#2295C2211yescharacteristic
254#2295C2212yes—
255C2×#391C2211yescharacteristic
256C2×#391C2211yescharacteristic
257#2293C2212yes—
258#2293C2212yes—
259C2×#389C2211yescharacteristic
260C2×#389C2211yescharacteristic
261C2×#387C2212yes—
262C2×#387C2212yes—
263C2×C4×C4⋊C4C2212yes—
264C2×C4×C4⋊C4C2211yescharacteristic
265C2×#376C2212yes—
266C2×C43C2211yescharacteristic
267C22×#41C2312yes—
268C22×#41C2314yes—
269C23×Q8C2311yescharacteristic
270#559—216no—
271#547—416no—
272#533—44no—
273#532—48no—
274#532—44no—
275C2×C4⋊Q8C2311yescharacteristic
276C2×C4⋊Q8C2311yescharacteristic
277C2×C4⋊Q8C2311yescharacteristic
278C2×C4⋊Q8C2311yescharacteristic
279C2×C4⋊Q8C2312yes—
280C2×C4⋊Q8C2314yes—
281C2×#127C2311yescharacteristic
282C2×#127C2312yes—
283C2×#127C2311yescharacteristic
284C2×#127C2312yes—
285#529—48no—
286#529—48no—
287C2×#126C2314yes—
288C2×#126C2314yes—
289C2×#125C2312yes—
290C2×#125C2312yes—
291C2×#125C2312yes—
292C2×#124C2312yes—
293C2×#124C2312yes—
294C2×#124C2312yes—
295C2×#124C2314yes—
296C2×#124C2312yes—
297C2×#124C2312yes—
298C2×#124C2312yes—
299C2×#124C2312yes—
300C2×#124C2312yes—
301C2×#124C2314yes—
302C2×#124C2314yes—
303C2×#124C2312yes—
304C2×#123C2314yes—
305C2×#123C2314yes—
306C2×#123C2314yes—
307C2×#123C2314yes—
308C2×#123C2314yes—
309C2×#123C2314yes—
310C2×#123C2314yes—
311C2×#123C2314yes—
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2314yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2314yes—
317C2×C22⋊Q8C2314yes—
318C2×#121C2312yes—
319C2×#121C2312yes—
320C2×#121C2312yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2314yes—
324C2×#121C2314yes—
325C2×#121C2314yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×C4×Q8—28no—
329C2×C4×Q8C2312yes—
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×D4C2312yes—
341C2×C4×D4C2314yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2314yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2314yes—
350C2×C4×D4C2314yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2314yes—
355C2×#117C2314yes—
356C2×#117C2314yes—
357C2×#117C2312yes—
358C22×C4⋊C4C2312yes—
359C22×C4⋊C4C2311yescharacteristic
360C22×C4⋊C4C2312yes—
361C22×C4⋊C4C2314yes—
362C22×C4⋊C4C2311yescharacteristic
363C22×C4⋊C4C2312yes—
364C22×C4⋊C4C2311yescharacteristic
365C22×C42C2311yescharacteristic
366C22×C42C2311yescharacteristic
367C22×C42C2312yes—
368C22×C42C2311yescharacteristic
369C22×C42C2312yes—
370C22×C42C2311yescharacteristic
371C22×C42C2311yescharacteristic
372C22×C42C2311yescharacteristic
373C22×C42C2311yescharacteristic
374#401C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#399C2314yes—
383#399C2314yes—
384#399C2314yes—
385#399C2314yes—
386#398C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#396C2314yes—
410#396C2314yes—
411#396C2314yes—
412#396C2314yes—
413#396C2314yes—
414#396C2314yes—
415#396C2314yes—
416#395C2314yes—
417#395C2314yes—
418#395C2314yes—
419#395C2314yes—
420#395C2314yes—
421#395C2314yes—
422#395C2314yes—
423#394C2314yes—
424#394C2314yes—
425#394C2314yes—
426#394C2314yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2314yes—
431#394C2314yes—
432#394C2314yes—
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#393C2314yes—
438#393C2314yes—
439#393C2314yes—
440#393C2314yes—
441#393C2314yes—
442#393C2314yes—
443#393C2314yes—
444#393C2314yes—
445#393C2314yes—
446#393C2314yes—
447#393C2314yes—
448#392C2314yes—
449#392C2314yes—
450#392C2314yes—
451#392C2314yes—
452#392C2314yes—
453#392C2314yes—
454#391C2312yes—
455#391C2312yes—
456#391C2312yes—
457#391C2311yescharacteristic
458#391C2312yes—
459#391C2312yes—
460#391C2314yes—
461#391C2312yes—
462#391C2312yes—
463#391C2314yes—
464#391C2314yes—
465#391C2314yes—
466#391C2314yes—
467#391C2312yes—
468#391C2312yes—
469#391C2311yescharacteristic
470#391C2314yes—
471#391C2312yes—
472#391C2314yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2311yescharacteristic
479#391C2311yescharacteristic
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2311yescharacteristic
484#391C2311yescharacteristic
485#391C2311yescharacteristic
486#391C2311yescharacteristic
487#390C2312yes—
488#390C2312yes—
489#390C2312yes—
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2312yes—
495#390C2312yes—
496#390C2312yes—
497#390C2312yes—
498#390C2314yes—
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2314yes—
508#390C2314yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2312yes—
514#390C2314yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2311yescharacteristic
521#389C2314yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2311yescharacteristic
526#389C2314yes—
527#389C2312yes—
528#389C2312yes—
529#389C2314yes—
530#389C2314yes—
531#389C2314yes—
532#389C2312yes—
533#389C2312yes—
534#389C2314yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2311yescharacteristic
540#389C2311yescharacteristic
541#389C2312yes—
542#389C2311yescharacteristic
543#389C2311yescharacteristic
544#389C2312yes—
545#389C2312yes—
546#389C2311yescharacteristic
547#389C2311yescharacteristic
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#387C2312yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2312yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2312yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2312yes—
604#387C2314yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2312yes—
609#387C2312yes—
610#387C2312yes—
611#387C2314yes—
612#387C2312yes—
613#387C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#384C2311yescharacteristic
667#384C2311yescharacteristic
668#384C2312yes—
669#383C2314yes—
670#382C2314yes—
671#382C2314yes—
672#382C2312yes—
673#382C2312yes—
674#382C2312yes—
675#382C2312yes—
676#382C2312yes—
677#382C2312yes—
678#381C2314yes—
679#381C2314yes—
680#381C2314yes—
681#380C2314yes—
682#380C2314yes—
683#380C2314yes—
684#380C2314yes—
685#380C2312yes—
686#380C2312yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2314yes—
692C4×C4⋊C4C2314yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2311yescharacteristic
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2314yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2311yescharacteristic
704C4×C4⋊C4C2311yescharacteristic
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2311yescharacteristic
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2314yes—
718#376C2312yes—
719#376C2312yes—
720#376C2312yes—
721#376C2312yes—
722#376C2312yes—
723#376C2312yes—
724#376C2312yes—
725#376C2312yes—
726C2×#95C2314yes—
727C2×#95C2312yes—
728C2×#95C2312yes—
729C2×#95C2312yes—
730C2×#95C2312yes—
731C2×#95C2312yes—
732C2×#95C2312yes—
733C2×#95C2312yes—
734C43C2311yescharacteristic
735C43C2311yescharacteristic
736C43C2311yescharacteristic
737C43C2311yescharacteristic
738C43C2311yescharacteristic
739C43C2311yescharacteristic
740C43C2311yescharacteristic
741C43C2311yescharacteristic
742C2×#41—28no—
743C2×#41—44no—
744C2×#41—48no—
745C2×#41—48no—
746C2×#41—44no—
747C2×#41—48no—
748C22×Q8—24no—
749C22×Q8—42no—
750C22×Q8—42no—
751C22×Q8C2412yes—
752C22×Q8C2412yes—
753C22×Q8C2411yescharacteristic
754C22×Q8C2412yes—
755C22×Q8C2412yes—
756C22×Q8C2412yes—
757C22×Q8C2414yes—
758C22×Q8C2411yescharacteristic
759C22×D4C2412yes—
760C22×D4C2412yes—
761C22×D4C2414yes—
762C22×D4C2414yes—
763C22×D4C2414yes—
764C22×D4C2412yes—
765C22×D4C2414yes—
766C22×D4C2412yes—
767C22×D4C2412yes—
768C22×D4C2412yes—
769C22×D4C2414yes—
770C22×D4C2414yes—
771C23×C4C2411yescharacteristic
772C23×C4C2412yes—
773C23×C4C2412yes—
774C23×C4C2411yescharacteristic
775C23×C4C2411yescharacteristic
776C23×C4C2412yes—
777C23×C4C2411yescharacteristic
778C23×C4C2411yescharacteristic
779C23×C4C2411yescharacteristic
780C23×C4C2411yescharacteristic
781C23×C4C2412yes—
782C23×C4C2414yes—
783C23×C4C2414yes—
784C23×C4C2414yes—
785C23×C4C2414yes—
786C23×C4C2414yes—
787C23×C4C2414yes—
788C4⋊Q8—24no—
789C4⋊Q8—44no—
790C4⋊Q8—42no—
791C4⋊Q8—42no—
792C4⋊Q8—42no—
793C4⋊Q8—48no—
794#127—28no—
795#127—24no—
796#127—44no—
797#127—42no—
798#126—48no—
799#126—48no—
800#125—44no—
801#125—44no—
802#125—44no—
803#124—216no—
804#124—28no—
805#124—28no—
806#124—28no—
807#124—44no—
808#124—44no—
809#124—44no—
810#124—48no—
811#124—44no—
812#124—44no—
813#124—44no—
814#124—48no—
815#123—216no—
816#123—216no—
817#123—216no—
818#123—48no—
819#123—48no—
820#123—48no—
821#123—48no—
822#123—48no—
823C22⋊Q8—28no—
824C22⋊Q8—44no—
825C22⋊Q8—44no—
826C22⋊Q8—48no—
827C22⋊Q8—48no—
828C22⋊Q8—48no—
829#121—28no—
830#121—28no—
831#121—48no—
832#121—48no—
833#121—44no—
834#121—48no—
835#121—44no—
836#121—44no—
837#121—48no—
838#121—48no—
839C4×Q8—24no—
840C4×Q8—28no—
841C4×Q8—24no—
842C4×Q8—24no—
843C4×Q8—28no—
844C4×Q8—28no—
845C4×Q8—44no—
846C4×Q8—44no—
847C4×Q8—44no—
848C4×Q8—44no—
849C4×Q8#4118yescomplemented
850C4×D4—216no—
851C4×D4—28no—
852C4×D4—28no—
853C4×D4—44no—
854C4×D4—44no—
855C4×D4—44no—
856C4×D4—48no—
857C4×D4—44no—
858C4×D4—44no—
859C4×D4—44no—
860C4×D4—44no—
861C4×D4—48no—
862C4×D4—48no—
863C4×D4—48no—
864C4×D4—48no—
865#117—48no—
866#117—48no—
867#117—44no—
868C2×C4⋊C4—28no—
869C2×C4⋊C4—28no—
870C2×C4⋊C4—24no—
871C2×C4⋊C4—44no—
872C2×C4⋊C4—42no—
873C2×C4⋊C4—48no—
874C2×C4⋊C4—42no—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2414yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2411yescharacteristic
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C42—24no—
972C2×C42—28no—
973C2×C42—24no—
974C2×C42—24no—
975C2×C42—28no—
976C2×C42—24no—
977C2×C42—42no—
978C2×C42—42no—
979C2×C42—42no—
980C2×C42C2411yescharacteristic
981C2×C42C2412yes—
982C2×C42C2412yes—
983C2×C42C2411yescharacteristic
984C2×C42C2411yescharacteristic
985C2×C42C2411yescharacteristic
986C2×C42C2412yes—
987C2×C42C2411yescharacteristic
988C2×C42C2414yes—
989C2×C42C2411yescharacteristic
990C2×C42C2411yescharacteristic
991C2×C42C2411yescharacteristic
992C2×C42C2412yes—
993C2×C42C2412yes—
994C2×C42C2412yes—
995C2×C42C2411yescharacteristic
996C2×C42C2411yescharacteristic
997C2×C42C2411yescharacteristic
998C2×C42C2411yescharacteristic
999C2×C42C2411yescharacteristic
1000C2×C42C2412yes—
1001C2×C42C2411yescharacteristic
1002C2×C42C2411yescharacteristic
1003C2×C42C2411yescharacteristic
1004C2×C42C2411yescharacteristic
1005C2×C42C2411yescharacteristic
1006C2×C42C2414yes—
1007C2×C42C2414yes—
1008C2×C42C2414yes—
1009C2×C42C2414yes—
1010C2×C42C2414yes—
1011C2×C42C2411yescharacteristic
1012C2×C42C2411yescharacteristic
1013C2×C42C2411yescharacteristic
1014C2×C42C2411yescharacteristic
1015C2×C42C2411yescharacteristic
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2412yes—
1021C2×C42C2411yescharacteristic
1022#95C2412yes—
1023#95C2412yes—
1024#95C2412yes—
1025#95C2412yes—
1026#95C2412yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2412yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2414yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082C24C2514yes—
1083C24C2514yes—
1084C24C2511yescharacteristic
1085#41—816no—
1086#41—832no—
1087C2×Q8—24no—
1088C2×Q8—22no—
1089C2×Q8—24no—
1090C2×Q8—24no—
1091C2×Q8—24no—
1092C2×Q8—24no—
1093C2×Q8—24no—
1094C2×Q8—24no—
1095C2×Q8—24no—
1096C2×Q8—41no—
1097C2×Q8—41no—
1098C2×Q8—42no—
1099C2×Q8—41no—
1100C2×Q8—41no—
1101C2×Q8—42no—
1102C2×Q8—42no—
1103C2×Q8—44no—
1104C2×Q8—42no—
1105C2×Q8—44no—
1106C2×Q8—42no—
1107C2×Q8—42no—
1108C2×Q8—42no—
1109C2×Q8—44no—
1110C2×Q8—416no—
1111C2×Q8C2×#4114yes—
1112C2×D4—28no—
1113C2×D4—28no—
1114C2×D4—28no—
1115C2×D4—28no—
1116C2×D4—28no—
1117C2×D4—28no—
1118C2×D4—24no—
1119C2×D4—24no—
1120C2×D4—28no—
1121C2×D4—28no—
1122C2×D4—24no—
1123C2×D4—24no—
1124C2×D4—24no—
1125C2×D4—24no—
1126C2×D4—24no—
1127C2×D4—24no—
1128C2×D4—24no—
1129C2×D4—24no—
1130C2×D4—44no—
1131C2×D4—42no—
1132C2×D4—42no—
1133C2×D4—44no—
1134C2×D4—42no—
1135C2×D4—44no—
1136C2×D4—42no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—42no—
1142C2×D4—44no—
1143C2×D4—42no—
1144C2×D4—42no—
1145C2×D4—44no—
1146C2×D4—42no—
1147C2×D4—44no—
1148C22×C4—22no—
1149C22×C4—22no—
1150C22×C4—22no—
1151C22×C4—22no—
1152C22×C4—22no—
1153C22×C4—22no—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—24no—
1159C22×C4—24no—
1160C22×C4—24no—
1161C22×C4—22no—
1162C22×C4—24no—
1163C22×C4—24no—
1164C22×C4—24no—
1165C22×C4—22no—
1166C22×C4—24no—
1167C22×C4—24no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—28no—
1172C22×C4—28no—
1173C22×C4—28no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—42no—
1179C22×C4—42no—
1180C22×C4—44no—
1181C22×C4—44no—
1182C22×C4—42no—
1183C22×C4—42no—
1184C22×C4—44no—
1185C22×C4—44no—
1186C22×C4—44no—
1187C22×C4—44no—
1188C22×C4—44no—
1189C22×C4—44no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C4—44no—
1195C22×C4—44no—
1196C22×C4—44no—
1197C22×C4H(5,𝔽2)14yes—
1198C22×C4H(5,𝔽2)14yes—
1199C22×C4C2511yescharacteristic
1200C22×C4C2512yes—
1201C22×C4C2511yescharacteristic
1202C22×C4C2512yes—
1203C22×C4C2514yes—
1204C22×C4C2514yes—
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2514yes—
1209C22×C4C2514yes—
1210C22×C4C2514yes—
1211C22×C4C2511yescharacteristic
1212C22×C4C2511yescharacteristic
1213C22×C4C2512yes—
1214C22×C4C2514yes—
1215C22×C4C2512yes—
1216C22×C4C2511yescharacteristic
1217C22×C4C2511yescharacteristic
1218C22×C4C2512yes—
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C22×C4C2511yescharacteristic
1222C22×C4C2511yescharacteristic
1223C22×C4C2511yescharacteristic
1224C22×C4C2511yescharacteristic
1225C22×C4C2511yescharacteristic
1226C22×C4C2511yescharacteristic
1227C4⋊C4—24no—
1228C4⋊C4—24no—
1229C4⋊C4—22no—
1230C4⋊C4—24no—
1231C4⋊C4—24no—
1232C4⋊C4—24no—
1233C4⋊C4—28no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—28no—
1239C4⋊C4—28no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—24no—
1243C4⋊C4—28no—
1244C4⋊C4—24no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C4⋊C4—41no—
1252C4⋊C4—42no—
1253C4⋊C4—41no—
1254C4⋊C4—42no—
1255C4⋊C4—42no—
1256C4⋊C4—44no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—42no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—42no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—42no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—42no—
1270C4⋊C4—44no—
1271C4⋊C4—42no—
1272C4⋊C4—44no—
1273C4⋊C4—42no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4C2×#4118yes—
1280C4⋊C4C2×#4114yes—
1281C22⋊C4—28no—
1282C22⋊C4—28no—
1283C22⋊C4—28no—
1284C22⋊C4—28no—
1285C22⋊C4—28no—
1286C22⋊C4—28no—
1287C22⋊C4—28no—
1288C22⋊C4—28no—
1289C22⋊C4—28no—
1290C22⋊C4—28no—
1291C22⋊C4—28no—
1292C22⋊C4—28no—
1293C22⋊C4—28no—
1294C22⋊C4—28no—
1295C22⋊C4—28no—
1296C22⋊C4—28no—
1297C22⋊C4—28no—
1298C22⋊C4—44no—
1299C22⋊C4—44no—
1300C22⋊C4—44no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C42—22no—
1324C42—24no—
1325C42—22no—
1326C42—24no—
1327C42—22no—
1328C42—24no—
1329C42—28no—
1330C42—22no—
1331C42—24no—
1332C42—24no—
1333C42—22no—
1334C42—22no—
1335C42—22no—
1336C42—24no—
1337C42—22no—
1338C42—22no—
1339C42—24no—
1340C42—22no—
1341C42—22no—
1342C42—22no—
1343C42—22no—
1344C42—22no—
1345C42—22no—
1346C42—22no—
1347C42—22no—
1348C42—22no—
1349C42—41no—
1350C42—41no—
1351C42—41no—
1352C42—41no—
1353C42—41no—
1354C42—41no—
1355C42—41no—
1356C42—41no—
1357C42—44no—
1358C42—44no—
1359C42—44no—
1360C42—44no—
1361C42—44no—
1362C42C2×#4114yes—
1363C42C2×#4118yes—
1364C422−1+414yes—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—24no—
1370C23—24no—
1371C23—24no—
1372C23—24no—
1373C23—24no—
1374C23—24no—
1375C23—24no—
1376C23—24no—
1377C23—24no—
1378C23—24no—
1379C23—24no—
1380C23—24no—
1381C23—24no—
1382C23—24no—
1383C23C2×H(5,𝔽2)12yes—
1384C23C2×H(5,𝔽2)12yes—
1385C23#58512yes—
1386C23C2611yescharacteristic
1387Q8—44no—
1388Q8—48no—
1389Q8—44no—
1390Q8—48no—
1391Q8—84no—
1392Q8—84no—
1393Q8—84no—
1394Q8—88no—
1395D4—416no—
1396D4—416no—
1397D4—48no—
1398D4—48no—
1399D4—84no—
1400D4—88no—
1401D4—88no—
1402D4—84no—
1403D4—84no—
1404D4—84no—
1405D4—88no—
1406D4—88no—
1407C2×C4—28no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—22no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—28no—
1431C2×C4—28no—
1432C2×C4—21no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—24no—
1436C2×C4—24no—
1437C2×C4—22no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—24no—
1445C2×C4—24no—
1446C2×C4—24no—
1447C2×C4—24no—
1448C2×C4—24no—
1449C2×C4—24no—
1450C2×C4—24no—
1451C2×C4—24no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—24no—
1458C2×C4—24no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—24no—
1466C2×C4—24no—
1467C2×C4—24no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—24no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—24no—
1475C2×C4—24no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—44no—
1481C2×C4—44no—
1482C2×C4—48no—
1483C2×C4—44no—
1484C2×C4—44no—
1485C2×C4—48no—
1486C2×C4—48no—
1487C2×C4—88no—
1488C2×C4—88no—
1489C2×C4—88no—
1490C2×C4—84no—
1491C2×C4—88no—
1492C2×C4—88no—
1493C2×C4—88no—
1494C2×C4C22×#4114yes—
1495C2×C4C22×#4112yes—
1496C2×C4C22×#4112yes—
1497C2×C4C22×#4114yes—
1498C2×C4C22×#4112yes—
1499C2×C4C2×H(5,𝔽2)12yes—
1500C2×C4C2×H(5,𝔽2)12yes—
1501C2×C4C2×H(5,𝔽2)12yes—
1502C2×C4C2×H(5,𝔽2)12yes—
1503C2×C4C2×2−1+412yes—
1504C2×C4C2×2−1+412yes—
1505C2×C4C2×2−1+412yes—
1506C2×C4#58512yes—
1507C2×C4#58512yes—
1508C22—22no—
1509C22—22no—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—44no—
1515C22—44no—
1516C22—44no—
1517C22—44no—
1518C22—44no—
1519C22—44no—
1520C22—44no—
1521C22—44no—
1522C22—44no—
1523C22—44no—
1524C22—44no—
1525C22—44no—
1526C22—44no—
1527C22—44no—
1528C22#355814yes—
1529C22C23×#4111yescharacteristic
1530C22C22×H(5,𝔽2)11yescharacteristic
1531C22C22×H(5,𝔽2)11yescharacteristic
1532C22C22×2−1+411yescharacteristic
1533C22C2×#58511yescharacteristic
1534C22C2×#58511yescharacteristic
1535C22C2×#58511yescharacteristic
1536C4—22no—
1537C4—22no—
1538C4—22no—
1539C4—22no—
1540C4—22no—
1541C4—24no—
1542C4—22no—
1543C4—22no—
1544C4—24no—
1545C4—22no—
1546C4—22no—
1547C4—42no—
1548C4—42no—
1549C4—44no—
1550C4—44no—
1551C4—41no—
1552C4—42no—
1553C4—42no—
1554C4—44no—
1555C4—44no—
1556C4—41no—
1557C4—42no—
1558C4—44no—
1559C4—42no—
1560C4—41no—
1561C4—41no—
1562C4—44no—
1563C4#352214yes—
1564C2—24no—
1565C2—84no—
1566C2—84no—
1567C2C2×#355811yescharacteristic
1568C2#6274811yescharacteristic
1569C2C2×#352211yescharacteristic
1570C2#6280011yescharacteristic
1571C2#6281411yescharacteristic
1572C2#6283111yescharacteristic
1573C2#6283511yescharacteristic
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. #59995C2semidirect
2. #59092C2semidirect
3. #46099C2semidirect
4. #46090C2semidirect
5. #45958C2semidirect
6. #45940C2semidirect
7. #39810C2semidirect
8. #39765C2semidirect
9. #39739C2semidirect
10. #39674C2semidirect
11. #39628C2semidirect
12. #39621C2semidirect
13. #38830C2semidirect
14. #38769C2semidirect
15. #38486C2semidirect
16. #38425C2semidirect
17. #38301C2semidirect
18. #38141C2semidirect
19. #37572C2semidirect
20. #37352C2semidirect
21. #37336C2semidirect
22. #36639C2semidirect
23. #36631C2semidirect
24. #36580C2semidirect
25. #36140C2semidirect
26. #36139C2semidirect
27. #36126C2semidirect
28. #35303C2semidirect
29. #35270C2semidirect
30. #34500C2semidirect
31. C2×#2295C2semidirect
849. C4×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#599952
#590922
#460992
#460902
#459582
#459402
#398102
#397652
#397392
#396742
#396282
#396212
#388302
#387692
#384862
#384252
#383012
#381412
#375722
#373522
#373362
#366392
#366312
#365802
#361402
#361392
#361262
#353032
#352702
#345002
C2×#22952