Finite Group Databasebeta

← #8093542

Subgroups — #8093542

Order 512.

4146 conjugacy classes of subgroups.

The subgroup lattice has 1588 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53153C212yesmaximal, complemented
2#53143C212yesmaximal, complemented
3#53143C212yesmaximal, complemented
4#53114C212yesmaximal, complemented
5#53113C212yesmaximal, complemented
6#53100C212yesmaximal, complemented
7#53093C212yesmaximal, complemented
8#53092C212yesmaximal, complemented
9#53091C212yesmaximal, complemented
10#53086C212yesmaximal, complemented
11#53042C212yesmaximal, complemented
12#53040C212yesmaximal, complemented
13#53038C212yesmaximal, complemented
14#53033C212yesmaximal, complemented
15#53002C212yesmaximal, complemented
16#52994C212yesmaximal, complemented
17#52766C214yesmaximal, complemented
18#52528C214yesmaximal, complemented
19#52509C214yesmaximal, complemented
20#52508C214yesmaximal, complemented
21#35673C211yesmaximal, characteristic
22#35668C211yesmaximal, characteristic, complemented
23#35662C211yesmaximal, characteristic, complemented
24#35630C211yesmaximal, characteristic, complemented
25#35628C211yesmaximal, characteristic
26#35619C211yesmaximal, characteristic
27#35585C211yesmaximal, characteristic, complemented
28#35575C211yesmaximal, characteristic
29#35566C211yesmaximal, characteristic, complemented
30#35545C211yesmaximal, characteristic
31#35543C211yesmaximal, characteristic, complemented
32#35519C211yesmaximal, characteristic
33#34642C211yesmaximal, characteristic, complemented
34#34639C211yesmaximal, characteristic
35C2×#2645C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C2×#519C2211yescharacteristic
42#2844C2214yes—
43#2843C2214yes—
44#2841C2214yes—
45#2839C2214yes—
46#2839C2214yes—
47#2839C2214yes—
48#2839C2214yes—
49#2839C2214yes—
50#2839C2214yes—
51#2838C2214yes—
52#2838C2214yes—
53#2838C2214yes—
54#2838C2214yes—
55#2838C2214yes—
56#2836C2214yes—
57#2836C2214yes—
58#2836C2214yes—
59#2835C2214yes—
60#2834C2214yes—
61#2833C2214yes—
62#2833C2214yes—
63#2833C2214yes—
64#2833C2214yes—
65#2833C2214yes—
66#2833C2214yes—
67#2833C2214yes—
68#2831C2214yes—
69#2831C2214yes—
70#2831C2214yes—
71#2822C2214yes—
72#2821C2214yes—
73#2817C2214yes—
74#2805C2214yes—
75#2805C2214yes—
76#2799C2214yes—
77#2794C2214yes—
78#2793C2214yes—
79#2789C2214yes—
80#2789C2214yes—
81#2787C2214yes—
82#2776C2214yes—
83#2776C2214yes—
84#2774C2214yes—
85#2774C2214yes—
86#2773C2214yes—
87#2770C2214yes—
88#2766C2214yes—
89#2766C2214yes—
90#2765C2214yes—
91#2765C2214yes—
92#2762C2214yes—
93#2762C2214yes—
94#2759C2214yes—
95#2745C2214yes—
96#2738C2214yes—
97#2729C2214yes—
98#2725C2214yes—
99#2720C2214yes—
100#2713C2214yes—
101#2713C2214yes—
102#2698C2214yes—
103#2690C2214yes—
104#2690C2214yes—
105#2689C2214yes—
106#2660C2211yescharacteristic
107#2660C2211yescharacteristic
108#2660C2211yescharacteristic
109#2660C2211yescharacteristic
110#2660C2211yescharacteristic
111#2660C2211yescharacteristic
112#2660C2211yescharacteristic
113#2660C2211yescharacteristic
114#2659C2212yes—
115#2659C2212yes—
116#2659C2212yes—
117#2659C2212yes—
118#2645C2212yes—
119#2645C2212yes—
120#2645C2211yescharacteristic
121#2645C2212yes—
122#2645C2212yes—
123#2645C2212yes—
124#2645C2212yes—
125#2645C2212yes—
126#2645C2212yes—
127#2645C2211yescharacteristic
128#2645C2211yescharacteristic
129#2645C2211yescharacteristic
130#2644C2211yescharacteristic
131#2644C2211yescharacteristic
132#2644C2211yescharacteristic
133#2644C2211yescharacteristic
134#2643C2212yes—
135#2643C2212yes—
136#2643C2212yes—
137#2643C2212yes—
138#2592C2212yes—
139#2592C2212yes—
140#2584C2212yes—
141#2584C2212yes—
142#2582C2212yes—
143#2582C2212yes—
144#2582C2212yes—
145#2581C2212yes—
146#2581C2212yes—
147#2581C2212yes—
148#2580C2212yes—
149#2571C2212yes—
150#2570C2212yes—
151#2570C2212yes—
152#2569C2214yes—
153#2568C2212yes—
154#2568C2212yes—
155#2568C2212yes—
156#2567C2212yes—
157#2567C2212yes—
158#2565C2212yes—
159#2565C2212yes—
160#2564C2214yes—
161#2552C2212yes—
162#2552C2212yes—
163#2551C2212yes—
164#2550C2212yes—
165#2550C2212yes—
166#2549C2214yes—
167#2546C2212yes—
168#2538C2212yes—
169#2514C2212yes—
170#2514C2212yes—
171#2514C2212yes—
172#2514C2212yes—
173#2514C2212yes—
174#2513C2212yes—
175#2512C2212yes—
176#2511C2212yes—
177#2511C2212yes—
178#2511C2212yes—
179#2511C2212yes—
180#2511C2212yes—
181#2510C2214yes—
182#2509C2212yes—
183#2509C2212yes—
184#2509C2212yes—
185#2508C2212yes—
186#2508C2212yes—
187#2508C2212yes—
188#2507C2212yes—
189#2507C2212yes—
190#2507C2212yes—
191#2506C2212yes—
192#2506C2212yes—
193#2506C2212yes—
194#2505C2214yes—
195#2503C2212yes—
196#2502C2212yes—
197#2499C2212yes—
198#2499C2212yes—
199#2498C2214yes—
200#2498C2214yes—
201#2497C2212yes—
202#2496C2212yes—
203#2495C2212yes—
204#2494C2212yes—
205#2493C2214yes—
206#2493C2214yes—
207#2492C2212yes—
208#2492C2212yes—
209#2489C2212yes—
210#2489C2212yes—
211#2488C2214yes—
212#2488C2214yes—
213#2481C2214yes—
214#2473C2214yes—
215#2454C2212yes—
216#2453C2212yes—
217#2453C2212yes—
218#2453C2212yes—
219#2453C2212yes—
220#2453C2212yes—
221#2452C2212yes—
222#2451C2212yes—
223#2451C2212yes—
224#2451C2212yes—
225#2451C2212yes—
226#2451C2212yes—
227#2450C2214yes—
228#2449C2214yes—
229#2448C2212yes—
230#2448C2212yes—
231#2447C2212yes—
232#2447C2212yes—
233#2446C2212yes—
234#2446C2212yes—
235#2446C2212yes—
236#2446C2212yes—
237#2442C2214yes—
238#2442C2212yes—
239#2442C2212yes—
240#2441C2212yes—
241#2441C2212yes—
242#2440C2212yes—
243#2440C2214yes—
244#2440C2212yes—
245#2439C2212yes—
246#2439C2212yes—
247#2438C2214yes—
248#2438C2214yes—
249#2438C2214yes—
250#2438C2214yes—
251#2423C2212yes—
252#2423C2212yes—
253#2421C2212yes—
254#2421C2212yes—
255#2419C2214yes—
256#2419C2214yes—
257#2417C2214yes—
258#2401C2212yes—
259#2401C2212yes—
260#2401C2212yes—
261#2401C2212yes—
262C2×#401C2212yes—
263#2399C2212yes—
264#2399C2212yes—
265#2399C2212yes—
266#2399C2212yes—
267C2×#400C2212yes—
268C2×#400C2212yes—
269C2×#400C2212yes—
270#2317C2211yescharacteristic
271#2317C2211yescharacteristic
272#2317C2211yescharacteristic
273#2317C2211yescharacteristic
274#2316C2211yescharacteristic
275#2316C2211yescharacteristic
276#2311C2211yescharacteristic
277#2311C2211yescharacteristic
278#2310C2211yescharacteristic
279#2310C2211yescharacteristic
280#2297C2211yescharacteristic
281#2297C2211yescharacteristic
282#2297C2211yescharacteristic
283#2296C2211yescharacteristic
284#2296C2211yescharacteristic
285#2296C2211yescharacteristic
286C2×#391C2211yescharacteristic
287C2×#391C2211yescharacteristic
288C2×#391C2211yescharacteristic
289C2×#389C2211yescharacteristic
290C2×#389C2211yescharacteristic
291C2×#389C2211yescharacteristic
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294#2285C2211yescharacteristic
295#2285C2211yescharacteristic
296#2274C2211yescharacteristic
297#2274C2211yescharacteristic
298C2×#376C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301#544—44no—
302#536—44no—
303#533—44no—
304#533—44no—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2314yes—
313C2×#126C2314yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2311yescharacteristic
317C2×#125C2311yescharacteristic
318C2×#125C2311yescharacteristic
319C2×#125C2311yescharacteristic
320C2×#125C2314yes—
321C2×#125C2314yes—
322C2×#124C2312yes—
323C2×#123C2314yes—
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2314yes—
333#520—44no—
334#519—44no—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×D4C2314yes—
345C2×C4×D4C2312yes—
346C2×#117C2311yescharacteristic
347C2×#117C2311yescharacteristic
348C2×#117C2311yescharacteristic
349C2×#117C2311yescharacteristic
350C2×#117C2311yescharacteristic
351C2×#117C2311yescharacteristic
352C2×#117C2311yescharacteristic
353C2×#117C2314yes—
354C2×#117C2312yes—
355C22×C4⋊C4C2311yescharacteristic
356C22×C4⋊C4C2311yescharacteristic
357C22×C4⋊C4C2311yescharacteristic
358C22×C4⋊C4C2312yes—
359C22×C4⋊C4C2312yes—
360C22×C4⋊C4C2312yes—
361C22×C4⋊C4C2312yes—
362C22×C42C2311yescharacteristic
363C22×C42C2311yescharacteristic
364C22×C42C2311yescharacteristic
365#401C2314yes—
366#401C2314yes—
367#401C2312yes—
368#401C2312yes—
369#401C2312yes—
370#401C2312yes—
371#401C2314yes—
372#401C2314yes—
373#401C2314yes—
374#401C2314yes—
375#401C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2312yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2312yes—
406#400C2312yes—
407#400C2312yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2312yes—
424#400C2312yes—
425#400C2312yes—
426#400C2312yes—
427#400C2312yes—
428#400C2312yes—
429#400C2312yes—
430#400C2312yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#399C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2312yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2312yes—
454#398C2314yes—
455#398C2314yes—
456#398C2312yes—
457#398C2312yes—
458#398C2312yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2312yes—
466#398C2314yes—
467#398C2312yes—
468#398C2312yes—
469#398C2312yes—
470#398C2314yes—
471#398C2312yes—
472#398C2314yes—
473#398C2312yes—
474#398C2312yes—
475#398C2312yes—
476#398C2312yes—
477#398C2312yes—
478#398C2312yes—
479#397C2312yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2312yes—
484#397C2314yes—
485#397C2314yes—
486#397C2312yes—
487#397C2312yes—
488#397C2314yes—
489#397C2314yes—
490#397C2312yes—
491#397C2314yes—
492#397C2312yes—
493#397C2314yes—
494#397C2314yes—
495#397C2312yes—
496#397C2312yes—
497#397C2314yes—
498#397C2312yes—
499#397C2312yes—
500#397C2312yes—
501#397C2312yes—
502#396C2314yes—
503#396C2312yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2312yes—
508#396C2314yes—
509#396C2312yes—
510#396C2312yes—
511#395C2312yes—
512#395C2314yes—
513#395C2314yes—
514#395C2314yes—
515#395C2314yes—
516#395C2312yes—
517#395C2314yes—
518#395C2314yes—
519#395C2312yes—
520#395C2312yes—
521#395C2312yes—
522#395C2312yes—
523#395C2312yes—
524#395C2312yes—
525#395C2314yes—
526#395C2314yes—
527#395C2314yes—
528#395C2314yes—
529#395C2312yes—
530#395C2312yes—
531#395C2312yes—
532#395C2312yes—
533#395C2312yes—
534#395C2312yes—
535#395C2312yes—
536#395C2312yes—
537#393C2314yes—
538#393C2314yes—
539#393C2314yes—
540#393C2314yes—
541#391C2312yes—
542#391C2312yes—
543#391C2312yes—
544#391C2312yes—
545#391C2312yes—
546#391C2312yes—
547#391C2312yes—
548#391C2312yes—
549#391C2312yes—
550#391C2312yes—
551#391C2312yes—
552#391C2312yes—
553#391C2314yes—
554#391C2311yescharacteristic
555#391C2311yescharacteristic
556#391C2314yes—
557#391C2314yes—
558#391C2314yes—
559#391C2314yes—
560#391C2312yes—
561#391C2312yes—
562#391C2314yes—
563#391C2314yes—
564#391C2314yes—
565#391C2314yes—
566#391C2314yes—
567#391C2312yes—
568#391C2312yes—
569#391C2311yescharacteristic
570#391C2311yescharacteristic
571#391C2311yescharacteristic
572#391C2311yescharacteristic
573#391C2312yes—
574#391C2312yes—
575#391C2312yes—
576#391C2312yes—
577#391C2312yes—
578#391C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2311yescharacteristic
582#390C2311yescharacteristic
583#390C2311yescharacteristic
584#390C2311yescharacteristic
585#390C2311yescharacteristic
586#390C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2314yes—
592#389C2314yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2314yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2314yes—
612#389C2314yes—
613#389C2311yescharacteristic
614#389C2311yescharacteristic
615#389C2311yescharacteristic
616#389C2314yes—
617#389C2314yes—
618#389C2314yes—
619#389C2314yes—
620#389C2314yes—
621#389C2314yes—
622#389C2314yes—
623#389C2314yes—
624#389C2314yes—
625#389C2311yescharacteristic
626#389C2311yescharacteristic
627#389C2311yescharacteristic
628#389C2311yescharacteristic
629#389C2311yescharacteristic
630#389C2311yescharacteristic
631#389C2311yescharacteristic
632#389C2311yescharacteristic
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#386C2312yes—
690#386C2314yes—
691#386C2314yes—
692#386C2312yes—
693#386C2312yes—
694#386C2312yes—
695#386C2312yes—
696#386C2312yes—
697#385C2314yes—
698#385C2314yes—
699#385C2312yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2312yes—
709#385C2312yes—
710#385C2312yes—
711#385C2312yes—
712#385C2312yes—
713#384C2311yescharacteristic
714#384C2312yes—
715#384C2311yescharacteristic
716#384C2314yes—
717#384C2311yescharacteristic
718#384C2312yes—
719#384C2312yes—
720#384C2312yes—
721#384C2311yescharacteristic
722#384C2311yescharacteristic
723#384C2311yescharacteristic
724#384C2311yescharacteristic
725#384C2311yescharacteristic
726#383C2314yes—
727#383C2314yes—
728#383C2314yes—
729#382C2311yescharacteristic
730#382C2312yes—
731#382C2314yes—
732#382C2311yescharacteristic
733#382C2314yes—
734#382C2311yescharacteristic
735#382C2312yes—
736#382C2311yescharacteristic
737#382C2314yes—
738#382C2312yes—
739#382C2312yes—
740#382C2314yes—
741#382C2311yescharacteristic
742#382C2311yescharacteristic
743#382C2311yescharacteristic
744#382C2311yescharacteristic
745#381C2314yes—
746#381C2314yes—
747#381C2314yes—
748#381C2314yes—
749#380C2312yes—
750#380C2314yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2314yes—
757#380C2314yes—
758#380C2314yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795#376C2311yescharacteristic
796#376C2311yescharacteristic
797#376C2311yescharacteristic
798#376C2311yescharacteristic
799#376C2311yescharacteristic
800#376C2311yescharacteristic
801#376C2311yescharacteristic
802#376C2311yescharacteristic
803C2×#95C2312yes—
804C2×#95C2312yes—
805C2×#95C2311yescharacteristic
806C2×#95C2311yescharacteristic
807C2×#95C2311yescharacteristic
808C2×#95C2311yescharacteristic
809C2×#95C2312yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#41—24no—
817C2×#41—24no—
818C2×#41—24no—
819C22×Q8—24no—
820C22×Q8—24no—
821C22×Q8—24no—
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2411yescharacteristic
825C22×Q8C2412yes—
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2412yes—
829C22×Q8C2414yes—
830C22×D4C2412yes—
831C22×D4C2411yescharacteristic
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2412yes—
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2414yes—
844C23×C4C2411yescharacteristic
845C4⋊Q8—42no—
846C4⋊Q8—42no—
847C4⋊Q8—42no—
848C4⋊Q8—42no—
849C4⋊Q8—44no—
850C4⋊Q8—44no—
851C4⋊Q8—44no—
852C4⋊Q8—84no—
853#126—84no—
854#125—42no—
855#125—42no—
856#125—42no—
857#125—42no—
858#125—44no—
859#125—44no—
860#125—84no—
861#125—84no—
862#124—44no—
863#123—48no—
864C22⋊Q8—44no—
865C22⋊Q8—44no—
866C22⋊Q8—44no—
867C22⋊Q8—44no—
868C22⋊Q8—48no—
869C22⋊Q8—44no—
870C22⋊Q8—44no—
871C22⋊Q8—84no—
872C22⋊Q8—84no—
873C4×Q8—44no—
874C4×Q8—44no—
875C4×Q8—44no—
876C4×Q8—44no—
877C4×Q8—44no—
878C4×Q8—44no—
879C4×Q8—44no—
880C4×Q8—44no—
881C4×Q8—44no—
882C4×D4—44no—
883C4×D4—48no—
884#117—24no—
885#117—24no—
886#117—24no—
887#117—24no—
888#117—24no—
889#117—24no—
890#117—24no—
891#117—48no—
892#117—44no—
893C2×C4⋊C4—24no—
894C2×C4⋊C4—24no—
895C2×C4⋊C4—24no—
896C2×C4⋊C4—44no—
897C2×C4⋊C4—82no—
898C2×C4⋊C4—82no—
899C2×C4⋊C4—82no—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C42—24no—
1013C2×C42—24no—
1014C2×C42—24no—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2412yes—
1021C2×C42C2412yes—
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2414yes—
1035C2×C42C2414yes—
1036C2×C42C2414yes—
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2414yes—
1040C2×C42C2414yes—
1041#95C2411yescharacteristic
1042#95C2411yescharacteristic
1043#95C2411yescharacteristic
1044#95C2411yescharacteristic
1045#95C2411yescharacteristic
1046#95C2411yescharacteristic
1047#95C2411yescharacteristic
1048#95C2411yescharacteristic
1049#95C2411yescharacteristic
1050#95C2411yescharacteristic
1051#95C2411yescharacteristic
1052#95C2411yescharacteristic
1053#95C2411yescharacteristic
1054#95C2411yescharacteristic
1055#95C2411yescharacteristic
1056#95C2411yescharacteristic
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#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143C24C2512yes—
1144C24C2511yescharacteristic
1145#41—416no—
1146C2×Q8—24no—
1147C2×Q8—24no—
1148C2×Q8—22no—
1149C2×Q8—24no—
1150C2×Q8—24no—
1151C2×Q8—24no—
1152C2×Q8—24no—
1153C2×Q8—22no—
1154C2×Q8—22no—
1155C2×Q8—42no—
1156C2×Q8—42no—
1157C2×Q8—42no—
1158C2×Q8—42no—
1159C2×Q8—42no—
1160C2×Q8—42no—
1161C2×Q8—42no—
1162C2×Q8—42no—
1163C2×Q8—42no—
1164C2×Q8—42no—
1165C2×Q8—42no—
1166C2×Q8—42no—
1167C2×Q8—44no—
1168C2×Q8—44no—
1169C2×Q8—44no—
1170C2×Q8—416no—
1171C2×D4—24no—
1172C2×D4—24no—
1173C2×D4—24no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C22×C4—24no—
1178C22×C4—24no—
1179C22×C4—24no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—24no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—24no—
1188C22×C4—24no—
1189C22×C4—24no—
1190C22×C4—24no—
1191C22×C4—24no—
1192C22×C4—42no—
1193C22×C4—42no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4—42no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—42no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4H(5,𝔽2)14yes—
1214C22×C42−1+414yes—
1215C22×C42−1+414yes—
1216C22×C4C2511yescharacteristic
1217C22×C4C2511yescharacteristic
1218C22×C4C2511yescharacteristic
1219C22×C4C2511yescharacteristic
1220C22×C4C2514yes—
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2512yes—
1224C22×C4C2511yescharacteristic
1225C22×C4C2511yescharacteristic
1226C22×C4C2511yescharacteristic
1227C22×C4C2511yescharacteristic
1228C22×C4C2514yes—
1229C22×C4C2514yes—
1230C22×C4C2511yescharacteristic
1231C22×C4C2511yescharacteristic
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2511yescharacteristic
1240C22×C4C2511yescharacteristic
1241C22×C4C2512yes—
1242C22×C4C2514yes—
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2511yescharacteristic
1248C22×C4C2511yescharacteristic
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—24no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—42no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C22⋊C4—24no—
1336C22⋊C4—24no—
1337C22⋊C4—24no—
1338C22⋊C4—24no—
1339C22⋊C4—24no—
1340C22⋊C4—24no—
1341C22⋊C4—24no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—42no—
1361C42—22no—
1362C42—22no—
1363C42—22no—
1364C42—22no—
1365C42—24no—
1366C42—24no—
1367C42—24no—
1368C42—24no—
1369C42—24no—
1370C42—22no—
1371C42—22no—
1372C42—22no—
1373C42—22no—
1374C42—22no—
1375C42—22no—
1376C42—22no—
1377C42—22no—
1378C42—24no—
1379C42—24no—
1380C42—44no—
1381C42—44no—
1382C42—44no—
1383C42—44no—
1384C42—44no—
1385C42—44no—
1386C42—44no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—22no—
1392C23—22no—
1393C23—22no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23—22no—
1398C23C2×H(5,𝔽2)12yes—
1399C23C2×2−1+412yes—
1400C23C2×2−1+412yes—
1401C23C2611yescharacteristic
1402Q8—48no—
1403Q8—48no—
1404Q8—44no—
1405Q8—84no—
1406Q8—84no—
1407Q8—84no—
1408Q8—84no—
1409Q8—164no—
1410D4—48no—
1411D4—44no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—24no—
1427C2×C4—22no—
1428C2×C4—24no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—24no—
1442C2×C4—24no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—24no—
1446C2×C4—24no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—24no—
1452C2×C4—24no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—22no—
1456C2×C4—21no—
1457C2×C4—22no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—24no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—24no—
1468C2×C4—24no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—24no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—48no—
1506C2×C4—48no—
1507C2×C4—84no—
1508C2×C4—82no—
1509C2×C4—82no—
1510C2×C4—82no—
1511C2×C4—84no—
1512C2×C4—84no—
1513C2×C4—82no—
1514C2×C4—82no—
1515C2×C4—82no—
1516C2×C4—164no—
1517C2×C4#563116yes—
1518C2×C4C2×H(5,𝔽2)12yes—
1519C2×C4C2×H(5,𝔽2)12yes—
1520C2×C4C2×2−1+412yes—
1521C2×C4C2×2−1+412yes—
1522C2×C4C2×2−1+412yes—
1523C2×C4C2×2−1+412yes—
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—42no—
1531C22—42no—
1532C22—42no—
1533C22—42no—
1534C22—42no—
1535C22—42no—
1536C22—42no—
1537C22C2×#56314yes—
1538C22C22×H(5,𝔽2)11yescharacteristic
1539C22C22×2−1+411yescharacteristic
1540C22C22×2−1+411yescharacteristic
1541C22H(7,𝔽2)11yescharacteristic
1542C222−1+611yescharacteristic
1543C222−1+611yescharacteristic
1544C222−1+611yescharacteristic
1545C4—44no—
1546C4—41no—
1547C4—41no—
1548C4—42no—
1549C4—42no—
1550C4—42no—
1551C4—42no—
1552C4—42no—
1553C4—42no—
1554C4—42no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—44no—
1560C4—44no—
1561C4—42no—
1562C4—41no—
1563C4—41no—
1564C4—42no—
1565C4—42no—
1566C4—42no—
1567C4—42no—
1568C4—42no—
1569C4—42no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—42no—
1575C4—44no—
1576C4C2×#56314yes—
1577C4C2×#56314yes—
1578C2—24no—
1579C2—82no—
1580C2C22×#56311yescharacteristic
1581C2#6287811yescharacteristic
1582C2#6287911yescharacteristic
1583C2#6287911yescharacteristic
1584C2#6288811yescharacteristic
1585C2#6288911yescharacteristic
1586C2#6288911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×#41C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #53153C2semidirect
2. #53143C2semidirect
3. #53143C2semidirect
4. #53114C2semidirect
5. #53113C2semidirect
6. #53100C2semidirect
7. #53093C2semidirect
8. #53092C2semidirect
9. #53091C2semidirect
10. #53086C2semidirect
11. #53042C2semidirect
12. #53040C2semidirect
13. #53038C2semidirect
14. #53033C2semidirect
15. #53002C2semidirect
16. #52994C2semidirect
17. #52766C2semidirect
18. #52528C2semidirect
19. #52509C2semidirect
20. #52508C2semidirect
22. #35668C2semidirect
23. #35662C2semidirect
24. #35630C2semidirect
27. #35585C2semidirect
29. #35566C2semidirect
31. #35543C2semidirect
33. #34642C2semidirect
35. C2×#2645C2semidirect

Maximal subgroups

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

subgroupindex
#531532
#531432
#531142
#531132
#531002
#530932
#530922
#530912
#530862
#530422
#530402
#530382
#530332
#530022
#529942
#527662
#525282
#525092
#525082
#356732
#356682
#356622
#356302
#356282
#356192
#355852
#355752
#355662
#355452
#355432
#355192
#346422
#346392
C2×#26452