Finite Group Databasebeta

← #8461642

Subgroups — #8461642

Order 512.

4488 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59442C211yesmaximal, characteristic, complemented
2#59136C211yesmaximal, characteristic, complemented
3#59036C211yesmaximal, characteristic, complemented
4#58136C214yesmaximal, complemented
5#58070C214yesmaximal, complemented
6#56352C214yesmaximal, complemented
7#53137C212yesmaximal, complemented
8#53093C212yesmaximal, complemented
9#48682C214yesmaximal, complemented
10#46075C212yesmaximal, complemented
11#45656C212yesmaximal, complemented
12#45372C212yesmaximal, complemented
13#45129C212yesmaximal, complemented
14#42831C212yesmaximal, complemented
15#42739C212yesmaximal, complemented
16#42510C212yesmaximal, complemented
17#42465C212yesmaximal, complemented
18#39976C212yesmaximal, complemented
19#39760C212yesmaximal, complemented
20#39618C211yesmaximal, characteristic, complemented
21#39481C211yesmaximal, characteristic, complemented
22#38986C211yesmaximal, characteristic, complemented
23#38921C211yesmaximal, characteristic, complemented
24#38252C212yesmaximal, complemented
25#38111C212yesmaximal, complemented
26#37638C211yesmaximal, characteristic, complemented
27#37429C212yesmaximal, complemented
28#37347C212yesmaximal, complemented
29#36301C211yesmaximal, characteristic, complemented
30#36274C211yesmaximal, characteristic, complemented
31#36129C211yesmaximal, characteristic, complemented
32#35279C211yesmaximal, characteristic, complemented
33#35201C211yesmaximal, characteristic, complemented
34#34793C211yesmaximal, characteristic, complemented
35#34727C211yesmaximal, characteristic
36C2×#554C2211yescharacteristic
37C2×D4×Q8C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C22×C4⋊Q8C2211yescharacteristic
40C2×#529C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42#2864C2212yes—
43#2862C2211yescharacteristic
44#2861C2212yes—
45#2859C2212yes—
46#2857C2211yescharacteristic
47#2857C2211yescharacteristic
48#2857C2212yes—
49#2857C2212yes—
50#2855C2212yes—
51#2838C2214yes—
52#2838C2214yes—
53#2836C2214yes—
54#2833C2214yes—
55#2833C2214yes—
56#2831C2214yes—
57#2826C2214yes—
58#2824C2214yes—
59#2808C2214yes—
60#2807C2214yes—
61#2805C2214yes—
62#2802C2214yes—
63#2799C2214yes—
64#2798C2214yes—
65#2791C2214yes—
66#2790C2214yes—
67#2789C2214yes—
68#2789C2214yes—
69#2788C2214yes—
70#2787C2214yes—
71#2787C2214yes—
72#2778C2214yes—
73#2778C2214yes—
74#2778C2214yes—
75#2775C2214yes—
76#2773C2214yes—
77#2768C2214yes—
78#2768C2214yes—
79#2766C2214yes—
80#2759C2214yes—
81#2759C2214yes—
82#2759C2214yes—
83#2758C2214yes—
84#2755C2214yes—
85#2751C2214yes—
86#2749C2214yes—
87#2746C2214yes—
88#2746C2214yes—
89#2744C2214yes—
90#2743C2214yes—
91#2742C2214yes—
92#2741C2214yes—
93#2740C2214yes—
94#2738C2214yes—
95#2729C2214yes—
96#2728C2214yes—
97#2720C2214yes—
98#2706C2214yes—
99#2704C2214yes—
100#2698C2214yes—
101#2694C2214yes—
102#2692C2214yes—
103#2692C2214yes—
104#2692C2214yes—
105#2690C2214yes—
106#2681C2214yes—
107#2680C2214yes—
108#2667C2214yes—
109#2663C2214yes—
110#2660C2212yes—
111#2653C2214yes—
112#2649C2214yes—
113#2647C2212yes—
114#2647C2212yes—
115#2645C2212yes—
116#2645C2212yes—
117#2645C2212yes—
118#2639C2214yes—
119#2634C2214yes—
120#2630C2214yes—
121#2628C2214yes—
122#2625C2212yes—
123#2624C2212yes—
124#2604C2214yes—
125#2598C2214yes—
126#2582C2211yescharacteristic
127#2578C2214yes—
128#2576C2214yes—
129#2571C2211yescharacteristic
130#2571C2212yes—
131#2570C2212yes—
132#2570C2212yes—
133#2568C2211yescharacteristic
134#2568C2212yes—
135#2567C2211yescharacteristic
136#2567C2211yescharacteristic
137#2567C2211yescharacteristic
138#2566C2212yes—
139#2563C2211yescharacteristic
140#2563C2211yescharacteristic
141#2563C2211yescharacteristic
142#2563C2212yes—
143#2562C2212yes—
144#2552C2212yes—
145#2550C2212yes—
146#2550C2212yes—
147#2550C2212yes—
148#2542C2212yes—
149#2542C2211yescharacteristic
150#2538C2212yes—
151#2536C2212yes—
152#2530C2212yes—
153#2528C2212yes—
154#2527C2214yes—
155#2517C2212yes—
156#2514C2212yes—
157#2514C2212yes—
158#2514C2212yes—
159#2514C2212yes—
160#2514C2212yes—
161#2513C2212yes—
162#2513C2212yes—
163#2511C2211yescharacteristic
164#2510C2214yes—
165#2510C2214yes—
166#2507C2212yes—
167#2506C2212yes—
168#2506C2212yes—
169#2506C2211yescharacteristic
170#2500C2212yes—
171#2499C2212yes—
172#2499C2212yes—
173#2499C2211yescharacteristic
174#2498C2214yes—
175#2494C2211yescharacteristic
176#2494C2212yes—
177#2494C2212yes—
178#2493C2214yes—
179#2492C2212yes—
180#2492C2212yes—
181#2489C2212yes—
182#2489C2211yescharacteristic
183#2488C2214yes—
184#2487C2212yes—
185#2487C2212yes—
186#2486C2212yes—
187#2486C2212yes—
188#2485C2211yescharacteristic
189#2485C2212yes—
190#2485C2212yes—
191#2479C2212yes—
192#2477C2214yes—
193#2471C2212yes—
194#2467C2212yes—
195#2465C2214yes—
196#2460C2212yes—
197#2460C2214yes—
198#2458C2214yes—
199#2457C2214yes—
200#2456C2212yes—
201#2454C2211yescharacteristic
202#2454C2212yes—
203#2453C2212yes—
204#2452C2212yes—
205#2451C2212yes—
206#2451C2212yes—
207#2450C2214yes—
208#2448C2211yescharacteristic
209#2447C2212yes—
210#2446C2212yes—
211#2445C2212yes—
212#2442C2212yes—
213#2442C2212yes—
214#2441C2214yes—
215#2441C2211yescharacteristic
216#2441C2211yescharacteristic
217#2440C2212yes—
218#2439C2212yes—
219#2439C2212yes—
220#2439C2212yes—
221#2438C2214yes—
222#2438C2214yes—
223#2431C2211yescharacteristic
224#2429C2212yes—
225#2428C2211yescharacteristic
226#2423C2212yes—
227#2423C2212yes—
228#2423C2211yescharacteristic
229#2422C2212yes—
230#2420C2212yes—
231#2417C2212yes—
232#2417C2212yes—
233#2417C2212yes—
234#2417C2212yes—
235#2417C2212yes—
236#2415C2212yes—
237#2415C2212yes—
238#2415C2212yes—
239#2415C2212yes—
240#2415C2211yescharacteristic
241#2414C2211yescharacteristic
242#2409C2214yes—
243#2409C2212yes—
244#2409C2214yes—
245#2409C2212yes—
246#2409C2212yes—
247#2409C2212yes—
248#2409C2212yes—
249#2407C2211yescharacteristic
250#2401C2212yes—
251#2397C2212yes—
252#2395C2212yes—
253#2392C2212yes—
254#2378C2214yes—
255#2369C2211yescharacteristic
256#2365C2211yescharacteristic
257#2363C2212yes—
258#2361C2212yes—
259#2360C2212yes—
260#2357C2212yes—
261#2354C2211yescharacteristic
262#2352C2212yes—
263#2352C2212yes—
264#2352C2212yes—
265#2349C2212yes—
266D4×C4⋊C4C2212yes—
267D4×C4⋊C4C2211yescharacteristic
268#2344C2212yes—
269Q8×C22⋊C4C2212yes—
270Q8×C22⋊C4C2212yes—
271#2339C2212yes—
272#2329C2214yes—
273#2328C2212yes—
274#2323C2212yes—
275#2323C2212yes—
276#2320C2212yes—
277#2317C2212yes—
278#2317C2212yes—
279#2314C2212yes—
280#2311C2212yes—
281C4×C4⋊Q8C2211yescharacteristic
282C4×#127C2211yescharacteristic
283C4×#125C2212yes—
284C4×#125C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2211yescharacteristic
287C4×#121C2211yescharacteristic
288C4×#121C2212yes—
289C4×#121C2211yescharacteristic
290#2298C2212yes—
291#2295C2211yescharacteristic
292#2295C2211yescharacteristic
293C2×#391C2212yes—
294#2293C2212yes—
295#2290C2212yes—
296#2285C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2312yes—
301C23×Q8C2312yes—
302#554—44no—
303D4×Q8—44no—
304#533—44no—
305C2×C4⋊Q8—44no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×#127C2311yescharacteristic
314#529—44no—
315C2×#126C2312yes—
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2314yes—
322C2×#124C2311yescharacteristic
323C2×#123C2312yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2314yes—
342C2×#121C2311yescharacteristic
343C2×#121C2311yescharacteristic
344C2×#121C2312yes—
345C2×#121C2311yescharacteristic
346C4×#41—44no—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2314yes—
371C2×#117C2312yes—
372C2×#117C2311yescharacteristic
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2311yescharacteristic
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2311yescharacteristic
379C2×#117C2314yes—
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2312yes—
384C22×C42C2311yescharacteristic
385C22×C42C2311yescharacteristic
386C22×C42C2312yes—
387#401C2314yes—
388#401C2314yes—
389#401C2314yes—
390#401C2314yes—
391#401C2314yes—
392#401C2312yes—
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#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2312yes—
413#400C2312yes—
414#400C2312yes—
415#400C2314yes—
416#400C2314yes—
417#399C2314yes—
418#399C2312yes—
419#399C2312yes—
420#399C2314yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
424#399C2312yes—
425#399C2312yes—
426#399C2312yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2312yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2312yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2312yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2312yes—
454#397C2312yes—
455#397C2314yes—
456#397C2312yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2312yes—
464#397C2314yes—
465#397C2312yes—
466#397C2312yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2312yes—
472#396C2314yes—
473#396C2314yes—
474#396C2312yes—
475#396C2312yes—
476#396C2314yes—
477#395C2314yes—
478#395C2314yes—
479#395C2314yes—
480#395C2314yes—
481#395C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2314yes—
486#394C2314yes—
487#394C2312yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2312yes—
494#394C2314yes—
495#394C2312yes—
496#394C2314yes—
497#394C2312yes—
498#394C2312yes—
499#393C2314yes—
500#393C2314yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2314yes—
506#393C2314yes—
507#393C2314yes—
508#392C2312yes—
509#392C2312yes—
510#392C2312yes—
511#392C2312yes—
512#392C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2314yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2314yes—
522#391C2312yes—
523#391C2314yes—
524#391C2312yes—
525#391C2312yes—
526#391C2314yes—
527#391C2314yes—
528#391C2311yescharacteristic
529#391C2312yes—
530#391C2312yes—
531#391C2314yes—
532#391C2314yes—
533#391C2312yes—
534#391C2312yes—
535#391C2312yes—
536#391C2312yes—
537#391C2314yes—
538#391C2311yescharacteristic
539#391C2311yescharacteristic
540#391C2311yescharacteristic
541#391C2311yescharacteristic
542#391C2314yes—
543#391C2314yes—
544#391C2311yescharacteristic
545#390C2311yescharacteristic
546#390C2311yescharacteristic
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2314yes—
555#390C2312yes—
556#390C2311yescharacteristic
557#390C2311yescharacteristic
558#389C2311yescharacteristic
559#389C2312yes—
560#389C2312yes—
561#389C2311yescharacteristic
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2311yescharacteristic
571#389C2312yes—
572#389C2312yes—
573#389C2311yescharacteristic
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2314yes—
578#389C2311yescharacteristic
579#389C2312yes—
580#389C2312yes—
581#389C2314yes—
582#389C2314yes—
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#389C2312yes—
587#389C2314yes—
588#389C2314yes—
589#389C2314yes—
590#389C2311yescharacteristic
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2314yes—
595#389C2311yescharacteristic
596#389C2314yes—
597#389C2312yes—
598#389C2314yes—
599#389C2311yescharacteristic
600#389C2311yescharacteristic
601#389C2311yescharacteristic
602#389C2312yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2312yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2312yes—
624#388C2314yes—
625#388C2314yes—
626#388C2312yes—
627#388C2312yes—
628#388C2312yes—
629#388C2314yes—
630#388C2312yes—
631#388C2312yes—
632#388C2314yes—
633#388C2312yes—
634#388C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2312yes—
652#387C2312yes—
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#387C2312yes—
667#387C2312yes—
668#387C2314yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2312yes—
691#386C2312yes—
692#386C2312yes—
693#386C2312yes—
694#386C2312yes—
695#386C2312yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2312yes—
711#385C2312yes—
712#385C2312yes—
713#385C2312yes—
714#384C2311yescharacteristic
715#384C2311yescharacteristic
716#384C2312yes—
717#384C2312yes—
718#384C2312yes—
719#384C2312yes—
720#384C2314yes—
721#384C2311yescharacteristic
722#384C2311yescharacteristic
723#383C2314yes—
724#383C2314yes—
725#383C2314yes—
726#382C2311yescharacteristic
727#382C2312yes—
728#382C2312yes—
729#382C2312yes—
730#382C2312yes—
731#382C2312yes—
732#382C2312yes—
733#382C2312yes—
734#382C2314yes—
735#382C2312yes—
736#382C2312yes—
737#382C2314yes—
738#382C2312yes—
739#381C2314yes—
740#381C2314yes—
741#381C2314yes—
742#381C2314yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2314yes—
752#380C2314yes—
753#380C2314yes—
754#380C2314yes—
755#380C2311yescharacteristic
756#380C2312yes—
757#380C2314yes—
758#380C2312yes—
759#380C2312yes—
760#380C2314yes—
761#380C2314yes—
762#380C2312yes—
763#380C2312yes—
764#380C2311yescharacteristic
765#380C2314yes—
766#380C2312yes—
767#380C2311yescharacteristic
768#380C2311yescharacteristic
769#380C2311yescharacteristic
770#380C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809#376C2312yes—
810#376C2312yes—
811#376C2312yes—
812C2×#95C2314yes—
813C2×#95C2314yes—
814C43C2311yescharacteristic
815C43C2312yes—
816C2×#41—24no—
817C2×#41—24no—
818C2×#41—42no—
819C22×Q8—44no—
820C22×Q8—44no—
821C22×Q8—44no—
822C22×Q8—44no—
823C22×Q8—44no—
824C22×Q8—82no—
825C22×Q8C2412yes—
826C22×Q8C2411yescharacteristic
827C22×Q8C2411yescharacteristic
828C22×Q8C2412yes—
829C22×Q8C2412yes—
830C22×Q8C2414yes—
831C22×Q8C2414yes—
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2414yes—
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2414yes—
853C23×C4C2414yes—
854C23×C4C2414yes—
855C4⋊Q8—24no—
856C4⋊Q8—24no—
857C4⋊Q8—24no—
858C4⋊Q8—44no—
859C4⋊Q8—44no—
860C4⋊Q8—44no—
861C4⋊Q8—44no—
862#127—24no—
863#126—44no—
864#125—42no—
865#125—42no—
866#125—44no—
867#125—44no—
868#125—44no—
869#125—84no—
870#124—42no—
871#123—44no—
872#123—84no—
873#123—84no—
874C22⋊Q8—48no—
875C22⋊Q8—48no—
876C22⋊Q8—48no—
877C22⋊Q8—44no—
878C22⋊Q8—42no—
879C22⋊Q8—44no—
880C22⋊Q8—44no—
881C22⋊Q8—42no—
882C22⋊Q8—48no—
883C22⋊Q8—42no—
884C22⋊Q8—44no—
885C22⋊Q8—44no—
886C22⋊Q8—44no—
887C22⋊Q8—44no—
888C22⋊Q8—84no—
889C22⋊Q8—82no—
890#121—24no—
891#121—24no—
892#121—44no—
893#121—42no—
894C4×Q8—24no—
895C4×Q8—24no—
896C4×Q8—44no—
897C4×Q8—42no—
898C4×Q8—44no—
899C4×Q8—44no—
900C4×Q8—82no—
901C4×D4—28no—
902C4×D4—24no—
903C4×D4—24no—
904C4×D4—24no—
905C4×D4—42no—
906C4×D4—44no—
907C4×D4—44no—
908C4×D4—44no—
909C4×D4—42no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—44no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—42no—
916C4×D4—44no—
917C4×D4—84no—
918#117—28no—
919#117—44no—
920#117—44no—
921#117—42no—
922#117—44no—
923#117—42no—
924#117—42no—
925#117—44no—
926#117—84no—
927C2×C4⋊C4—44no—
928C2×C4⋊C4—44no—
929C2×C4⋊C4—44no—
930C2×C4⋊C4—44no—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C42—24no—
1055C2×C42—24no—
1056C2×C42—44no—
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2414yes—
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087#95C2412yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
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#95C2411yescharacteristic
1109#95C2411yescharacteristic
1110#95C2412yes—
1111#95C2411yescharacteristic
1112#95C2411yescharacteristic
1113#95C2411yescharacteristic
1114#95C2411yescharacteristic
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167C24C2512yes—
1168C24C2511yescharacteristic
1169C24C2512yes—
1170C24C2511yescharacteristic
1171#41—416no—
1172C2×Q8—22no—
1173C2×Q8—22no—
1174C2×Q8—24no—
1175C2×Q8—24no—
1176C2×Q8—24no—
1177C2×Q8—22no—
1178C2×Q8—22no—
1179C2×Q8—24no—
1180C2×Q8—24no—
1181C2×Q8—22no—
1182C2×Q8—22no—
1183C2×Q8—28no—
1184C2×Q8—42no—
1185C2×Q8—42no—
1186C2×Q8—44no—
1187C2×Q8—42no—
1188C2×Q8—44no—
1189C2×Q8—44no—
1190C2×Q8—42no—
1191C2×Q8—44no—
1192C2×Q8—44no—
1193C2×Q8—816no—
1194C2×Q8—816no—
1195C2×D4—22no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—24no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—42no—
1208C2×D4—41no—
1209C2×D4—42no—
1210C2×D4—41no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D42−1+414yes—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—24no—
1225C22×C4—28no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—22no—
1237C22×C4—24no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—24no—
1246C22×C4—42no—
1247C22×C4—41no—
1248C22×C4—42no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—41no—
1254C22×C4—44no—
1255C22×C4—41no—
1256C22×C4—42no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C42−1+414yes—
1264C22×C4C2512yes—
1265C22×C4C2511yescharacteristic
1266C22×C4C2511yescharacteristic
1267C22×C4C2512yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2512yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2514yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2514yes—
1282C22×C4C2514yes—
1283C22×C4C2514yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C4⋊C4—22no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—22no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—22no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—24no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—41no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—42no—
1343C4⋊C4—44no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—42no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—22no—
1371C22⋊C4—28no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—22no—
1376C22⋊C4—24no—
1377C22⋊C4—22no—
1378C22⋊C4—24no—
1379C22⋊C4—44no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—44no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—44no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—41no—
1398C22⋊C4—41no—
1399C22⋊C4—41no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—44no—
1406C22⋊C4—42no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—42no—
1418C42—22no—
1419C42—22no—
1420C42—22no—
1421C42—22no—
1422C42—22no—
1423C42—22no—
1424C42—24no—
1425C42—24no—
1426C42—24no—
1427C42—24no—
1428C42—22no—
1429C42—24no—
1430C42—22no—
1431C42—22no—
1432C42—24no—
1433C42—22no—
1434C42—42no—
1435C42—42no—
1436C42—44no—
1437C42—42no—
1438C42—42no—
1439C42—44no—
1440C42—42no—
1441C42—44no—
1442C42—41no—
1443C42—44no—
1444C42—41no—
1445C42—44no—
1446C42—42no—
1447C42H(5,𝔽2)14yes—
1448C23—22no—
1449C23—21no—
1450C23—21no—
1451C23—22no—
1452C23—21no—
1453C23—22no—
1454C23—21no—
1455C23—22no—
1456C23—21no—
1457C23—22no—
1458C23—22no—
1459C23—21no—
1460C23—22no—
1461C23—21no—
1462C23—21no—
1463C23—22no—
1464C23—21no—
1465C23—22no—
1466C23—22no—
1467C23—21no—
1468C23—21no—
1469C23—22no—
1470C23—21no—
1471C23—22no—
1472C23—21no—
1473C23—22no—
1474C23C2×2−1+412yes—
1475C23C2×2−1+414yes—
1476C23C2611yescharacteristic
1477Q8—48no—
1478Q8—44no—
1479Q8—48no—
1480Q8—44no—
1481Q8—88no—
1482Q8—84no—
1483Q8—88no—
1484D4—28no—
1485D4—48no—
1486D4—44no—
1487D4—48no—
1488D4—44no—
1489D4—84no—
1490D4—84no—
1491D4—84no—
1492D4—84no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—28no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—24no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—24no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—24no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—24no—
1558C2×C4—24no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—24no—
1573C2×C4—24no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—44no—
1579C2×C4—48no—
1580C2×C4—44no—
1581C2×C4—44no—
1582C2×C4—44no—
1583C2×C4—48no—
1584C2×C4—48no—
1585C2×C4—84no—
1586C2×C4—82no—
1587C2×C4—88no—
1588C2×C4—88no—
1589C2×C4—88no—
1590C2×C4—164no—
1591C2×C4C2×H(5,𝔽2)12yes—
1592C2×C4C2×H(5,𝔽2)12yes—
1593C2×C4C2×H(5,𝔽2)12yes—
1594C2×C4C2×2−1+412yes—
1595C2×C4C2×2−1+412yes—
1596C2×C4C2×2−1+412yes—
1597C2×C4#58512yes—
1598C2×C4#58512yes—
1599C2×C4#58512yes—
1600C22—22no—
1601C22—24no—
1602C22—24no—
1603C22—22no—
1604C22—22no—
1605C22—24no—
1606C22—42no—
1607C22—41no—
1608C22—41no—
1609C22—42no—
1610C22—41no—
1611C22—42no—
1612C22—42no—
1613C22—41no—
1614C22—41no—
1615C22—42no—
1616C22—42no—
1617C22—41no—
1618C22—41no—
1619C22—42no—
1620C22—41no—
1621C22—42no—
1622C22—41no—
1623C22—42no—
1624C22—42no—
1625C22—41no—
1626C22—42no—
1627C22—41no—
1628C22C22×H(5,𝔽2)11yescharacteristic
1629C22C22×2−1+411yescharacteristic
1630C22C22×2−1+411yescharacteristic
1631C22C2×#58511yescharacteristic
1632C22C2×#58511yescharacteristic
1633C22C2×#58511yescharacteristic
1634C22H(7,𝔽2)11yescharacteristic
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—41no—
1639C4—42no—
1640C4—41no—
1641C4—41no—
1642C4—42no—
1643C4—42no—
1644C4—42no—
1645C4—44no—
1646C4—42no—
1647C4—42no—
1648C4—41no—
1649C4—42no—
1650C4—42no—
1651C4—41no—
1652C4—41no—
1653C4—44no—
1654C4—42no—
1655C4—44no—
1656C4—42no—
1657C4—41no—
1658C4—42no—
1659C4—42no—
1660C4—42no—
1661C4—44no—
1662C4—42no—
1663C4—41no—
1664C4#353814yes—
1665C4#356214yes—
1666C2—42no—
1667C2—44no—
1668C2—81no—
1669C2—82no—
1670C2C2×#353811yescharacteristic
1671C2C2×#356211yescharacteristic
1672C2#6283811yescharacteristic
1673C2#6292411yescharacteristic
1674C2#6292611yescharacteristic
1675C2#6295111yescharacteristic
1676C2#6302511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34727C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59442C2semidirect
2. #59136C2semidirect
3. #59036C2semidirect
4. #58136C2semidirect
5. #58070C2semidirect
6. #56352C2semidirect
7. #53137C2semidirect
8. #53093C2semidirect
9. #48682C2semidirect
10. #46075C2semidirect
11. #45656C2semidirect
12. #45372C2semidirect
13. #45129C2semidirect
14. #42831C2semidirect
15. #42739C2semidirect
16. #42510C2semidirect
17. #42465C2semidirect
18. #39976C2semidirect
19. #39760C2semidirect
20. #39618C2semidirect
21. #39481C2semidirect
22. #38986C2semidirect
23. #38921C2semidirect
24. #38252C2semidirect
25. #38111C2semidirect
26. #37638C2semidirect
27. #37429C2semidirect
28. #37347C2semidirect
29. #36301C2semidirect
30. #36274C2semidirect
31. #36129C2semidirect
32. #35279C2semidirect
33. #35201C2semidirect
34. #34793C2semidirect

Maximal subgroups

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

subgroupindex
#594422
#591362
#590362
#581362
#580702
#563522
#531372
#530932
#486822
#460752
#456562
#453722
#451292
#428312
#427392
#425102
#424652
#399762
#397602
#396182
#394812
#389862
#389212
#382522
#381112
#376382
#374292
#373472
#363012
#362742
#361292
#352792
#352012
#347932
#347272