Finite Group Databasebeta

← #8429471

Subgroups — #8429471

Order 512.

4555 conjugacy classes of subgroups.

The subgroup lattice has 1692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59874C212yesmaximal, complemented
2#59691C212yesmaximal, complemented
3#59429C211yesmaximal, characteristic, complemented
4#59070C211yesmaximal, characteristic, complemented
5#59036C211yesmaximal, characteristic, complemented
6#57607C214yesmaximal, complemented
7#57227C214yesmaximal, complemented
8#53151C212yesmaximal, complemented
9#53120C212yesmaximal, complemented
10#53084C212yesmaximal, complemented
11#53079C212yesmaximal, complemented
12#52415C214yesmaximal, complemented
13#42869C212yesmaximal, complemented
14#42752C212yesmaximal, complemented
15#42749C212yesmaximal, complemented
16#42732C212yesmaximal, complemented
17#40653C214yesmaximal, complemented
18#39771C211yesmaximal, characteristic, complemented
19#39726C211yesmaximal, characteristic, complemented
20#39672C212yesmaximal, complemented
21#39260C212yesmaximal, complemented
22#39171C211yesmaximal, characteristic, complemented
23#39148C211yesmaximal, characteristic, complemented
24#39035C212yesmaximal, complemented
25#39031C212yesmaximal, complemented
26#37638C211yesmaximal, characteristic, complemented
27#37635C211yesmaximal, characteristic, complemented
28#37581C212yesmaximal, complemented
29#37494C212yesmaximal, complemented
30#36314C211yesmaximal, characteristic, complemented
31#36274C211yesmaximal, characteristic, complemented
32#36150C211yesmaximal, characteristic, complemented
33#34977C211yesmaximal, characteristic, complemented
34#34803C211yesmaximal, characteristic, complemented
35#34720C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×D4×Q8C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#532C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42#2864C2212yes—
43#2858C2211yescharacteristic
44#2857C2211yescharacteristic
45#2856C2211yescharacteristic
46#2855C2212yes—
47#2838C2214yes—
48#2833C2214yes—
49#2832C2214yes—
50#2832C2214yes—
51#2831C2214yes—
52#2831C2214yes—
53#2830C2214yes—
54#2830C2214yes—
55#2829C2214yes—
56#2826C2214yes—
57#2825C2214yes—
58#2824C2214yes—
59#2817C2214yes—
60#2814C2214yes—
61#2798C2214yes—
62#2797C2214yes—
63#2796C2214yes—
64#2788C2214yes—
65#2786C2214yes—
66#2786C2214yes—
67#2786C2214yes—
68#2784C2214yes—
69#2780C2214yes—
70#2778C2214yes—
71#2770C2214yes—
72#2759C2214yes—
73#2751C2214yes—
74#2751C2214yes—
75#2750C2214yes—
76#2750C2214yes—
77#2749C2214yes—
78#2749C2214yes—
79#2749C2214yes—
80#2748C2214yes—
81#2747C2214yes—
82#2745C2214yes—
83#2743C2214yes—
84#2739C2214yes—
85#2737C2214yes—
86#2717C2214yes—
87#2707C2214yes—
88#2707C2214yes—
89#2703C2214yes—
90#2696C2214yes—
91#2696C2214yes—
92#2696C2214yes—
93#2692C2214yes—
94#2692C2214yes—
95#2690C2214yes—
96#2688C2214yes—
97#2681C2214yes—
98#2665C2214yes—
99#2660C2212yes—
100#2654C2214yes—
101#2653C2214yes—
102#2652C2214yes—
103#2650C2214yes—
104#2648C2214yes—
105#2648C2214yes—
106#2647C2212yes—
107#2647C2212yes—
108#2645C2212yes—
109#2645C2212yes—
110#2644C2212yes—
111#2643C2214yes—
112#2642C2212yes—
113#2640C2212yes—
114#2640C2212yes—
115#2639C2214yes—
116#2634C2214yes—
117#2634C2214yes—
118#2625C2212yes—
119#2625C2212yes—
120#2620C2212yes—
121#2610C2214yes—
122#2603C2214yes—
123#2595C2214yes—
124#2592C2212yes—
125#2592C2212yes—
126#2582C2211yescharacteristic
127#2581C2212yes—
128#2581C2212yes—
129#2581C2212yes—
130#2580C2212yes—
131#2579C2214yes—
132#2571C2211yescharacteristic
133#2570C2212yes—
134#2568C2211yescharacteristic
135#2568C2211yescharacteristic
136#2567C2211yescharacteristic
137#2567C2211yescharacteristic
138#2567C2211yescharacteristic
139#2564C2214yes—
140#2563C2212yes—
141#2563C2211yescharacteristic
142#2550C2212yes—
143#2548C2211yescharacteristic
144#2545C2212yes—
145#2544C2212yes—
146#2541C2211yescharacteristic
147#2540C2212yes—
148#2538C2212yes—
149#2538C2212yes—
150#2538C2212yes—
151#2535C2212yes—
152#2533C2212yes—
153#2533C2214yes—
154#2530C2214yes—
155#2530C2214yes—
156#2527C2212yes—
157#2527C2214yes—
158#2523C2214yes—
159#2523C2212yes—
160#2514C2212yes—
161#2514C2212yes—
162#2514C2211yescharacteristic
163#2513C2212yes—
164#2511C2212yes—
165#2510C2214yes—
166#2510C2214yes—
167#2509C2211yescharacteristic
168#2506C2212yes—
169#2506C2212yes—
170#2504C2212yes—
171#2500C2212yes—
172#2499C2212yes—
173#2499C2212yes—
174#2499C2211yescharacteristic
175#2499C2212yes—
176#2497C2212yes—
177#2497C2212yes—
178#2496C2211yescharacteristic
179#2495C2212yes—
180#2492C2211yescharacteristic
181#2490C2214yes—
182#2490C2212yes—
183#2485C2211yescharacteristic
184#2481C2214yes—
185#2477C2212yes—
186#2475C2212yes—
187#2466C2212yes—
188#2465C2214yes—
189#2465C2214yes—
190#2463C2212yes—
191#2460C2214yes—
192#2460C2212yes—
193#2454C2212yes—
194#2454C2212yes—
195#2452C2212yes—
196#2452C2211yescharacteristic
197#2451C2212yes—
198#2450C2214yes—
199#2450C2214yes—
200#2449C2214yes—
201#2448C2212yes—
202#2448C2212yes—
203#2447C2212yes—
204#2447C2212yes—
205#2447C2212yes—
206#2447C2212yes—
207#2446C2211yescharacteristic
208#2444C2214yes—
209#2440C2212yes—
210#2439C2212yes—
211#2439C2212yes—
212#2439C2211yescharacteristic
213#2439C2211yescharacteristic
214#2438C2214yes—
215#2436C2212yes—
216#2436C2212yes—
217#2432C2211yescharacteristic
218#2431C2212yes—
219#2428C2212yes—
220#2427C2212yes—
221#2427C2212yes—
222#2427C2211yescharacteristic
223#2427C2212yes—
224#2427C2212yes—
225#2427C2212yes—
226#2427C2212yes—
227#2426C2212yes—
228#2426C2212yes—
229#2426C2212yes—
230#2423C2212yes—
231#2422C2212yes—
232#2422C2212yes—
233#2421C2212yes—
234#2421C2211yescharacteristic
235#2420C2212yes—
236#2420C2212yes—
237#2417C2212yes—
238#2416C2212yes—
239#2415C2211yescharacteristic
240#2415C2211yescharacteristic
241#2414C2212yes—
242#2414C2212yes—
243#2414C2212yes—
244#2409C2212yes—
245#2409C2212yes—
246#2407C2212yes—
247#2407C2211yescharacteristic
248#2406C2214yes—
249#2401C2212yes—
250#2398C2212yes—
251#2398C2212yes—
252#2392C2212yes—
253#2388C2214yes—
254#2367C2212yes—
255#2367C2212yes—
256#2366C2211yescharacteristic
257#2365C2211yescharacteristic
258#2363C2212yes—
259#2363C2212yes—
260#2362C2212yes—
261#2356C2212yes—
262#2353C2214yes—
263Q8×C4⋊C4C2211yescharacteristic
264#2349C2212yes—
265D4×C4⋊C4C2211yescharacteristic
266D4×C4⋊C4C2212yes—
267D4×C4⋊C4C2212yes—
268#2345C2212yes—
269#2341C2212yes—
270Q8×C22⋊C4C2212yes—
271#2339C2212yes—
272#2328C2212yes—
273#2328C2212yes—
274#2326C2212yes—
275#2324C2212yes—
276#2313C2214yes—
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic
279C4×#127C2212yes—
280C4×#126C2212yes—
281C4×#124C2211yescharacteristic
282C4×#124C2212yes—
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2212yes—
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2211yescharacteristic
287C4×#121C2212yes—
288C4×#121C2212yes—
289C4×#121C2211yescharacteristic
290#2295C2211yescharacteristic
291#2295C2211yescharacteristic
292#2295C2212yes—
293#2295C2212yes—
294C2×#391C2212yes—
295#2290C2212yes—
296#2283C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C23×Q8C2312yes—
302#559—44no—
303D4×Q8—44no—
304#533—44no—
305#533—44no—
306#532—44no—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×#127C2312yes—
314C2×#127C2311yescharacteristic
315C2×#126C2312yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2314yes—
319C2×#124C2311yescharacteristic
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×#121C2311yescharacteristic
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2314yes—
351C4×#41—44no—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2314yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2314yes—
381C2×#117C2312yes—
382C2×#117C2312yes—
383C2×#117C2311yescharacteristic
384C2×#117C2312yes—
385C2×#117C2311yescharacteristic
386C2×#117C2311yescharacteristic
387C22×C4⋊C4C2314yes—
388C22×C4⋊C4C2312yes—
389C22×C42C2311yescharacteristic
390C22×C42C2311yescharacteristic
391C22×C42C2312yes—
392#401C2314yes—
393#401C2314yes—
394#401C2312yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2312yes—
405#400C2312yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2312yes—
416#400C2312yes—
417#400C2312yes—
418#400C2312yes—
419#400C2312yes—
420#399C2314yes—
421#399C2314yes—
422#399C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2312yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2312yes—
443#397C2312yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2312yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2312yes—
459#397C2312yes—
460#397C2312yes—
461#397C2312yes—
462#397C2314yes—
463#397C2312yes—
464#396C2314yes—
465#396C2312yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2312yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2312yes—
478#395C2314yes—
479#395C2314yes—
480#395C2314yes—
481#395C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2314yes—
486#394C2312yes—
487#394C2312yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2312yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2312yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2312yes—
503#394C2312yes—
504#394C2312yes—
505#394C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2314yes—
509#393C2314yes—
510#393C2314yes—
511#393C2314yes—
512#393C2314yes—
513#393C2312yes—
514#393C2314yes—
515#393C2314yes—
516#393C2312yes—
517#393C2312yes—
518#393C2314yes—
519#393C2312yes—
520#392C2314yes—
521#392C2312yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#391C2312yes—
527#391C2312yes—
528#391C2312yes—
529#391C2312yes—
530#391C2312yes—
531#391C2312yes—
532#391C2312yes—
533#391C2312yes—
534#391C2312yes—
535#391C2312yes—
536#391C2312yes—
537#391C2312yes—
538#391C2314yes—
539#391C2314yes—
540#391C2311yescharacteristic
541#391C2312yes—
542#391C2312yes—
543#391C2311yescharacteristic
544#391C2311yescharacteristic
545#391C2314yes—
546#391C2312yes—
547#391C2312yes—
548#391C2311yescharacteristic
549#391C2314yes—
550#391C2312yes—
551#391C2311yescharacteristic
552#391C2311yescharacteristic
553#391C2311yescharacteristic
554#391C2312yes—
555#391C2311yescharacteristic
556#390C2312yes—
557#390C2312yes—
558#390C2314yes—
559#390C2314yes—
560#390C2312yes—
561#390C2312yes—
562#390C2314yes—
563#390C2314yes—
564#390C2314yes—
565#390C2312yes—
566#390C2312yes—
567#390C2311yescharacteristic
568#390C2311yescharacteristic
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2314yes—
576#390C2314yes—
577#390C2312yes—
578#390C2312yes—
579#389C2312yes—
580#389C2311yescharacteristic
581#389C2312yes—
582#389C2311yescharacteristic
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2311yescharacteristic
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2311yescharacteristic
600#389C2312yes—
601#389C2312yes—
602#389C2311yescharacteristic
603#389C2314yes—
604#389C2311yescharacteristic
605#389C2311yescharacteristic
606#389C2312yes—
607#389C2314yes—
608#389C2312yes—
609#389C2311yescharacteristic
610#389C2311yescharacteristic
611#389C2311yescharacteristic
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2312yes—
643#387C2314yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2314yes—
657#387C2312yes—
658#387C2312yes—
659#387C2312yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2314yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
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#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2312yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2312yes—
701#386C2312yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2312yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2312yes—
717#385C2314yes—
718#385C2312yes—
719#385C2312yes—
720#385C2312yes—
721#385C2312yes—
722#385C2312yes—
723#384C2312yes—
724#384C2311yescharacteristic
725#384C2311yescharacteristic
726#384C2312yes—
727#384C2312yes—
728#384C2312yes—
729#383C2312yes—
730#383C2314yes—
731#383C2312yes—
732#383C2314yes—
733#382C2311yescharacteristic
734#382C2312yes—
735#382C2312yes—
736#382C2312yes—
737#382C2312yes—
738#382C2312yes—
739#382C2311yescharacteristic
740#382C2311yescharacteristic
741#381C2312yes—
742#381C2314yes—
743#381C2314yes—
744#381C2314yes—
745#381C2314yes—
746#380C2314yes—
747#380C2312yes—
748#380C2312yes—
749#380C2314yes—
750#380C2314yes—
751#380C2314yes—
752#380C2314yes—
753#380C2314yes—
754#380C2311yescharacteristic
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2314yes—
759#380C2314yes—
760#380C2314yes—
761#380C2312yes—
762#380C2311yescharacteristic
763#380C2311yescharacteristic
764#380C2311yescharacteristic
765#380C2311yescharacteristic
766#380C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807#376C2312yes—
808#376C2312yes—
809#376C2312yes—
810#376C2314yes—
811#376C2312yes—
812C2×#95C2314yes—
813C2×#95C2314yes—
814C43C2312yes—
815C43C2311yescharacteristic
816C2×#41—24no—
817C2×#41—44no—
818C2×#41—42no—
819C2×#41—42no—
820C2×#41—44no—
821C2×#41—82no—
822C22×Q8—44no—
823C22×Q8—44no—
824C22×Q8—44no—
825C22×Q8C2411yescharacteristic
826C22×Q8C2412yes—
827C22×Q8C2411yescharacteristic
828C22×Q8C2411yescharacteristic
829C22×Q8C2412yes—
830C22×Q8C2412yes—
831C22×Q8C2412yes—
832C22×Q8C2414yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2411yescharacteristic
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2414yes—
839C22×D4C2414yes—
840C22×D4C2412yes—
841C22×D4C2411yescharacteristic
842C22×D4C2414yes—
843C22×D4C2414yes—
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2414yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2411yescharacteristic
854C23×C4C2414yes—
855C23×C4C2414yes—
856C23×C4C2414yes—
857C23×C4C2414yes—
858C4⋊Q8—24no—
859C4⋊Q8—24no—
860C4⋊Q8—42no—
861C4⋊Q8—42no—
862C4⋊Q8—44no—
863C4⋊Q8—42no—
864#127—28no—
865#127—24no—
866#126—44no—
867#125—44no—
868#125—44no—
869#125—84no—
870#124—24no—
871#124—44no—
872#124—44no—
873#124—44no—
874#124—44no—
875#124—44no—
876#124—44no—
877#123—48no—
878#123—84no—
879C22⋊Q8—48no—
880C22⋊Q8—44no—
881C22⋊Q8—44no—
882C22⋊Q8—44no—
883C22⋊Q8—42no—
884C22⋊Q8—42no—
885C22⋊Q8—42no—
886C22⋊Q8—42no—
887C22⋊Q8—42no—
888C22⋊Q8—44no—
889C22⋊Q8—44no—
890C22⋊Q8—44no—
891C22⋊Q8—84no—
892C22⋊Q8—84no—
893#121—24no—
894#121—44no—
895#121—44no—
896#121—44no—
897#121—44no—
898#121—44no—
899#121—44no—
900#121—84no—
901#121—82no—
902C4×Q8—24no—
903C4×Q8—24no—
904C4×Q8—24no—
905C4×Q8—44no—
906C4×Q8—44no—
907C4×Q8—44no—
908C4×Q8—44no—
909C4×Q8—42no—
910C4×Q8—44no—
911C4×Q8—44no—
912C4×Q8—82no—
913C4×D4—24no—
914C4×D4—44no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—42no—
918C4×D4—44no—
919C4×D4—44no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—48no—
925C4×D4—42no—
926C4×D4—42no—
927C4×D4—44no—
928C4×D4—42no—
929C4×D4—44no—
930C4×D4—84no—
931#117—44no—
932#117—44no—
933#117—42no—
934#117—42no—
935#117—42no—
936#117—44no—
937C2×C4⋊C4—48no—
938C2×C4⋊C4—44no—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2411yescharacteristic
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2411yescharacteristic
1027C2×C22⋊C4C2411yescharacteristic
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C42—24no—
1060C2×C42—24no—
1061C2×C42—44no—
1062C2×C42C2411yescharacteristic
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2414yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2411yescharacteristic
1092#95C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2411yescharacteristic
1120#95C2412yes—
1121#95C2411yescharacteristic
1122#95C2412yes—
1123#95C2411yescharacteristic
1124#95C2411yescharacteristic
1125#95C2411yescharacteristic
1126#95C2411yescharacteristic
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172C24C2511yescharacteristic
1173C24C2514yes—
1174C24C2511yescharacteristic
1175C24C2512yes—
1176#41—416no—
1177#41—816no—
1178C2×Q8—22no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—24no—
1182C2×Q8—24no—
1183C2×Q8—22no—
1184C2×Q8—22no—
1185C2×Q8—22no—
1186C2×Q8—24no—
1187C2×Q8—24no—
1188C2×Q8—22no—
1189C2×Q8—22no—
1190C2×Q8—22no—
1191C2×Q8—42no—
1192C2×Q8—42no—
1193C2×Q8—42no—
1194C2×Q8—42no—
1195C2×Q8—44no—
1196C2×Q8—42no—
1197C2×Q8—42no—
1198C2×Q8—42no—
1199C2×Q8—42no—
1200C2×Q8—44no—
1201C2×Q8—44no—
1202C2×Q8—816no—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—28no—
1206C2×D4—28no—
1207C2×D4—22no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—22no—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—42no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—44no—
1230C2×D4—42no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D42−1+414yes—
1236C22×C4—24no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—24no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—24no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—24no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—28no—
1256C22×C4—24no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—41no—
1260C22×C4—42no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—41no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—42no—
1268C22×C4—44no—
1269C22×C4—41no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4C2512yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2512yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2512yes—
1294C22×C4C2514yes—
1295C22×C4C2514yes—
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2511yescharacteristic
1299C22×C4C2514yes—
1300C22×C4C2512yes—
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C4⋊C4—22no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—22no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—41no—
1341C4⋊C4—44no—
1342C4⋊C4—41no—
1343C4⋊C4—44no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—44no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—42no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—22no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—41no—
1394C22⋊C4—41no—
1395C22⋊C4—44no—
1396C22⋊C4—41no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—42no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—44no—
1417C22⋊C4—42no—
1418C22⋊C4—44no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C42—22no—
1430C42—22no—
1431C42—22no—
1432C42—22no—
1433C42—22no—
1434C42—22no—
1435C42—24no—
1436C42—24no—
1437C42—24no—
1438C42—22no—
1439C42—24no—
1440C42—24no—
1441C42—24no—
1442C42—24no—
1443C42—22no—
1444C42—22no—
1445C42—24no—
1446C42—22no—
1447C42—42no—
1448C42—42no—
1449C42—42no—
1450C42—42no—
1451C42—44no—
1452C42—41no—
1453C42—42no—
1454C42—44no—
1455C42—44no—
1456C42—41no—
1457C42—44no—
1458C42H(5,𝔽2)14yes—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—21no—
1466C23—24no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—24no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—24no—
1475C23—24no—
1476C23—24no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—24no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—24no—
1485C23—21no—
1486C23C2×2−1+414yes—
1487C23C2611yescharacteristic
1488Q8—48no—
1489Q8—44no—
1490Q8—44no—
1491Q8—48no—
1492Q8—44no—
1493Q8—84no—
1494Q8—84no—
1495Q8—88no—
1496D4—28no—
1497D4—48no—
1498D4—44no—
1499D4—48no—
1500D4—48no—
1501D4—84no—
1502D4—88no—
1503D4—84no—
1504D4—88no—
1505D4—88no—
1506D4—164no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—24no—
1524C2×C4—24no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—24no—
1558C2×C4—24no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—24no—
1568C2×C4—24no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—24no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—24no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—44no—
1593C2×C4—48no—
1594C2×C4—44no—
1595C2×C4—44no—
1596C2×C4—44no—
1597C2×C4—44no—
1598C2×C4—48no—
1599C2×C4—84no—
1600C2×C4—82no—
1601C2×C4—88no—
1602C2×C4—88no—
1603C2×C4—88no—
1604C2×C4—164no—
1605C2×C4—164no—
1606C2×C4C2×H(5,𝔽2)12yes—
1607C2×C4C2×H(5,𝔽2)12yes—
1608C2×C4C2×H(5,𝔽2)12yes—
1609C2×C4C2×2−1+412yes—
1610C2×C4#58512yes—
1611C2×C4#58512yes—
1612C2×C4#58512yes—
1613C2×C4#58512yes—
1614C22—24no—
1615C22—24no—
1616C22—24no—
1617C22—42no—
1618C22—42no—
1619C22—42no—
1620C22—42no—
1621C22—41no—
1622C22—41no—
1623C22—44no—
1624C22—41no—
1625C22—41no—
1626C22—44no—
1627C22—44no—
1628C22—41no—
1629C22—41no—
1630C22—44no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—44no—
1635C22—41no—
1636C22—41no—
1637C22—44no—
1638C22—41no—
1639C22—41no—
1640C22—44no—
1641C22—41no—
1642C22C22×H(5,𝔽2)11yescharacteristic
1643C22C22×2−1+411yescharacteristic
1644C22C2×#58511yescharacteristic
1645C22C2×#58511yescharacteristic
1646C22C2×#58511yescharacteristic
1647C22C2×#58511yescharacteristic
1648C22H(7,𝔽2)11yescharacteristic
1649C4—22no—
1650C4—22no—
1651C4—41no—
1652C4—41no—
1653C4—42no—
1654C4—42no—
1655C4—41no—
1656C4—41no—
1657C4—42no—
1658C4—42no—
1659C4—44no—
1660C4—42no—
1661C4—42no—
1662C4—42no—
1663C4—41no—
1664C4—41no—
1665C4—42no—
1666C4—44no—
1667C4—42no—
1668C4—41no—
1669C4—42no—
1670C4—42no—
1671C4—41no—
1672C4—42no—
1673C4—42no—
1674C4—42no—
1675C4—44no—
1676C4—42no—
1677C4—41no—
1678C4#354114yes—
1679C4#356214yes—
1680C2—44no—
1681C2—81no—
1682C2—81no—
1683C2—84no—
1684C2C2×#354111yescharacteristic
1685C2C2×#356211yescharacteristic
1686C2#6276211yescharacteristic
1687C2#6292411yescharacteristic
1688C2#6295111yescharacteristic
1689C2#6296611yescharacteristic
1690C2#6302511yescharacteristic
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. #59874C2semidirect
2. #59691C2semidirect
3. #59429C2semidirect
4. #59070C2semidirect
5. #59036C2semidirect
6. #57607C2semidirect
7. #57227C2semidirect
8. #53151C2semidirect
9. #53120C2semidirect
10. #53084C2semidirect
11. #53079C2semidirect
12. #52415C2semidirect
13. #42869C2semidirect
14. #42752C2semidirect
15. #42749C2semidirect
16. #42732C2semidirect
17. #40653C2semidirect
18. #39771C2semidirect
19. #39726C2semidirect
20. #39672C2semidirect
21. #39260C2semidirect
22. #39171C2semidirect
23. #39148C2semidirect
24. #39035C2semidirect
25. #39031C2semidirect
26. #37638C2semidirect
27. #37635C2semidirect
28. #37581C2semidirect
29. #37494C2semidirect
30. #36314C2semidirect
31. #36274C2semidirect
32. #36150C2semidirect
33. #34977C2semidirect
34. #34803C2semidirect
35. #34720C2semidirect

Maximal subgroups

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

subgroupindex
#598742
#596912
#594292
#590702
#590362
#576072
#572272
#531512
#531202
#530842
#530792
#524152
#428692
#427522
#427492
#427322
#406532
#397712
#397262
#396722
#392602
#391712
#391482
#390352
#390312
#376382
#376352
#375812
#374942
#363142
#362742
#361502
#349772
#348032
#347202