Finite Group Databasebeta

← #8424658

Subgroups — #8424658

Order 512.

4750 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59657C212yesmaximal, complemented
2#59458C211yesmaximal, characteristic, complemented
3#59314C211yesmaximal, characteristic, complemented
4#59214C211yesmaximal, characteristic, complemented
5#59076C212yesmaximal, complemented
6#53756C214yesmaximal, complemented
7#53698C214yesmaximal, complemented
8#53089C212yesmaximal, complemented
9#53001C212yesmaximal, complemented
10#53001C212yesmaximal, complemented
11#52963C212yesmaximal, complemented
12#52487C214yesmaximal, complemented
13#42833C212yesmaximal, complemented
14#42794C212yesmaximal, complemented
15#42739C212yesmaximal, complemented
16#42609C212yesmaximal, complemented
17#41177C214yesmaximal, complemented
18#40052C212yesmaximal, complemented
19#39952C212yesmaximal, complemented
20#39611C212yesmaximal, complemented
21#39351C211yesmaximal, characteristic, complemented
22#39148C211yesmaximal, characteristic, complemented
23#39148C211yesmaximal, characteristic, complemented
24#39147C211yesmaximal, characteristic, complemented
25#37767C212yesmaximal, complemented
26#37624C211yesmaximal, characteristic, complemented
27#37623C211yesmaximal, characteristic, complemented
28#37571C212yesmaximal, complemented
29#37505C212yesmaximal, complemented
30#36584C211yesmaximal, characteristic, complemented
31#36261C211yesmaximal, characteristic, complemented
32#36182C211yesmaximal, characteristic, complemented
33#34945C211yesmaximal, characteristic, complemented
34#34934C211yesmaximal, characteristic, complemented
35#34917C211yesmaximal, characteristic, complemented
36C2×#554C2212yes—
37C2×#554C2212yes—
38C2×#554C2212yes—
39C2×#553C2212yes—
40C2×#542C2212yes—
41C2×#529C2212yes—
42#2859C2212yes—
43#2859C2211yescharacteristic
44#2857C2212yes—
45#2856C2211yescharacteristic
46#2856C2211yescharacteristic
47#2843C2214yes—
48#2841C2214yes—
49#2838C2214yes—
50#2838C2214yes—
51#2837C2214yes—
52#2836C2214yes—
53#2836C2214yes—
54#2831C2214yes—
55#2827C2214yes—
56#2827C2214yes—
57#2827C2214yes—
58#2826C2214yes—
59#2820C2214yes—
60#2817C2214yes—
61#2782C2214yes—
62#2780C2214yes—
63#2765C2214yes—
64#2757C2214yes—
65#2749C2214yes—
66#2749C2214yes—
67#2746C2214yes—
68#2745C2214yes—
69#2732C2214yes—
70#2732C2214yes—
71#2728C2214yes—
72#2728C2214yes—
73#2725C2214yes—
74#2723C2214yes—
75#2723C2214yes—
76#2723C2214yes—
77#2720C2214yes—
78#2715C2214yes—
79#2708C2214yes—
80#2706C2214yes—
81#2701C2214yes—
82#2698C2214yes—
83#2698C2214yes—
84#2695C2214yes—
85#2693C2214yes—
86#2692C2214yes—
87#2689C2214yes—
88#2688C2214yes—
89#2688C2214yes—
90#2683C2214yes—
91#2683C2214yes—
92#2683C2214yes—
93#2681C2214yes—
94#2681C2214yes—
95#2676C2214yes—
96#2672C2214yes—
97#2672C2214yes—
98#2666C2214yes—
99#2664C2214yes—
100#2663C2214yes—
101#2660C2212yes—
102#2660C2212yes—
103#2660C2212yes—
104#2652C2214yes—
105#2652C2214yes—
106#2650C2214yes—
107#2649C2214yes—
108#2647C2212yes—
109#2647C2212yes—
110#2647C2212yes—
111#2644C2212yes—
112#2644C2212yes—
113#2644C2212yes—
114#2643C2214yes—
115#2639C2214yes—
116#2636C2214yes—
117#2629C2212yes—
118#2628C2212yes—
119#2627C2214yes—
120#2624C2212yes—
121#2587C2214yes—
122#2584C2212yes—
123#2583C2214yes—
124#2580C2212yes—
125#2578C2212yes—
126#2576C2212yes—
127#2573C2212yes—
128#2573C2212yes—
129#2571C2211yescharacteristic
130#2571C2212yes—
131#2571C2212yes—
132#2571C2211yescharacteristic
133#2571C2211yescharacteristic
134#2570C2212yes—
135#2570C2211yescharacteristic
136#2568C2211yescharacteristic
137#2566C2212yes—
138#2566C2212yes—
139#2566C2212yes—
140#2566C2211yescharacteristic
141#2562C2211yescharacteristic
142#2560C2214yes—
143#2554C2214yes—
144#2552C2211yescharacteristic
145#2552C2211yescharacteristic
146#2552C2211yescharacteristic
147#2551C2211yescharacteristic
148#2551C2211yescharacteristic
149#2550C2212yes—
150#2550C2212yes—
151#2549C2214yes—
152#2548C2211yescharacteristic
153#2547C2211yescharacteristic
154#2542C2212yes—
155#2542C2212yes—
156#2542C2212yes—
157#2541C2211yescharacteristic
158#2540C2214yes—
159#2538C2211yescharacteristic
160#2538C2212yes—
161#2538C2211yescharacteristic
162#2535C2211yescharacteristic
163#2535C2212yes—
164#2535C2212yes—
165#2515C2212yes—
166#2514C2212yes—
167#2513C2212yes—
168#2512C2212yes—
169#2512C2212yes—
170#2512C2212yes—
171#2512C2212yes—
172#2509C2214yes—
173#2509C2212yes—
174#2509C2212yes—
175#2509C2212yes—
176#2509C2214yes—
177#2506C2212yes—
178#2504C2212yes—
179#2504C2212yes—
180#2504C2212yes—
181#2500C2212yes—
182#2497C2211yescharacteristic
183#2497C2212yes—
184#2494C2211yescharacteristic
185#2494C2211yescharacteristic
186#2494C2211yescharacteristic
187#2491C2212yes—
188#2490C2212yes—
189#2490C2212yes—
190#2488C2214yes—
191#2487C2212yes—
192#2487C2212yes—
193#2478C2214yes—
194#2475C2214yes—
195#2463C2214yes—
196#2461C2214yes—
197#2457C2212yes—
198#2454C2212yes—
199#2452C2212yes—
200#2452C2212yes—
201#2452C2212yes—
202#2452C2212yes—
203#2449C2214yes—
204#2449C2214yes—
205#2449C2214yes—
206#2449C2214yes—
207#2449C2214yes—
208#2449C2214yes—
209#2448C2212yes—
210#2447C2212yes—
211#2445C2212yes—
212#2443C2214yes—
213#2442C2212yes—
214#2442C2212yes—
215#2441C2212yes—
216#2441C2212yes—
217#2440C2212yes—
218#2440C2212yes—
219#2440C2212yes—
220#2440C2212yes—
221#2440C2212yes—
222#2440C2212yes—
223#2439C2212yes—
224#2428C2212yes—
225#2428C2212yes—
226#2426C2212yes—
227#2426C2212yes—
228#2425C2214yes—
229#2423C2212yes—
230#2422C2212yes—
231#2422C2212yes—
232#2422C2212yes—
233#2422C2212yes—
234#2422C2211yescharacteristic
235#2422C2212yes—
236#2421C2211yescharacteristic
237#2421C2211yescharacteristic
238#2420C2212yes—
239#2420C2212yes—
240#2420C2212yes—
241#2420C2212yes—
242#2420C2211yescharacteristic
243#2416C2212yes—
244#2416C2212yes—
245#2416C2212yes—
246#2416C2212yes—
247#2415C2214yes—
248#2413C2214yes—
249#2401C2212yes—
250#2401C2212yes—
251#2401C2212yes—
252#2392C2214yes—
253#2392C2212yes—
254#2366C2211yescharacteristic
255#2366C2211yescharacteristic
256#2363C2212yes—
257#2361C2212yes—
258#2361C2214yes—
259#2361C2212yes—
260#2361C2212yes—
261#2360C2212yes—
262#2351C2212yes—
263#2351C2212yes—
264Q8×C4⋊C4C2211yescharacteristic
265Q8×C4⋊C4C2211yescharacteristic
266#2349C2212yes—
267D4×C4⋊C4C2212yes—
268D4×C4⋊C4C2211yescharacteristic
269D4×C4⋊C4C2211yescharacteristic
270#2328C2212yes—
271#2328C2212yes—
272#2326C2212yes—
273#2322C2214yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×#127C2212yes—
276C4×#127C2211yescharacteristic
277C4×#125C2212yes—
278C4×#125C2211yescharacteristic
279C4×#124C2212yes—
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2211yescharacteristic
282C4×#123C2212yes—
283C4×#121C2211yescharacteristic
284C4×#121C2211yescharacteristic
285C4×#121C2212yes—
286#2295C2212yes—
287#2293C2212yes—
288C2×#389C2212yes—
289#2290C2212yes—
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic
292C2×#384C2211yescharacteristic
293#2283C2211yescharacteristic
294#2283C2211yescharacteristic
295#2283C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic
299#554—48no—
300#554—48no—
301#554—48no—
302#553—48no—
303#542—48no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×#127C2312yes—
310C2×#127C2311yescharacteristic
311#529—48no—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#125C2311yescharacteristic
316C2×#125C2312yes—
317C2×#125C2314yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#124C2312yes—
322C2×#124C2314yes—
323C2×#124C2312yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2314yes—
345C2×#121C2311yescharacteristic
346C2×#121C2311yescharacteristic
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2314yes—
353C2×#121C2312yes—
354C2×#121C2314yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2314yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2314yes—
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2314yes—
388C22×C4⋊C4C2314yes—
389C22×C4⋊C4C2314yes—
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2312yes—
393C22×C4⋊C4C2312yes—
394C22×C4⋊C4C2312yes—
395C22×C42C2311yescharacteristic
396C22×C42C2311yescharacteristic
397C22×C42C2312yes—
398#401C2312yes—
399#401C2312yes—
400#401C2312yes—
401#400C2312yes—
402#400C2312yes—
403#400C2314yes—
404#400C2314yes—
405#400C2312yes—
406#400C2312yes—
407#400C2312yes—
408#400C2312yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2312yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2312yes—
423#400C2312yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#398C2314yes—
433#398C2312yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#397C2312yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2312yes—
456#397C2314yes—
457#397C2312yes—
458#397C2314yes—
459#397C2312yes—
460#397C2312yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2312yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2312yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2312yes—
475#397C2312yes—
476#397C2312yes—
477#396C2312yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2312yes—
487#396C2312yes—
488#396C2314yes—
489#396C2314yes—
490#396C2312yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2312yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#395C2314yes—
499#395C2314yes—
500#395C2314yes—
501#395C2314yes—
502#395C2314yes—
503#395C2314yes—
504#395C2314yes—
505#395C2314yes—
506#395C2314yes—
507#395C2314yes—
508#394C2314yes—
509#394C2312yes—
510#394C2314yes—
511#394C2314yes—
512#394C2312yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2312yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#393C2314yes—
525#393C2314yes—
526#393C2314yes—
527#393C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2312yes—
531#392C2314yes—
532#391C2312yes—
533#391C2312yes—
534#391C2311yescharacteristic
535#391C2311yescharacteristic
536#391C2312yes—
537#391C2312yes—
538#391C2314yes—
539#391C2314yes—
540#390C2314yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2314yes—
546#390C2312yes—
547#390C2311yescharacteristic
548#390C2312yes—
549#390C2311yescharacteristic
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2314yes—
558#390C2314yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2311yescharacteristic
571#389C2311yescharacteristic
572#389C2312yes—
573#389C2312yes—
574#389C2311yescharacteristic
575#389C2311yescharacteristic
576#389C2312yes—
577#389C2314yes—
578#389C2312yes—
579#389C2312yes—
580#389C2314yes—
581#389C2311yescharacteristic
582#389C2311yescharacteristic
583#389C2314yes—
584#389C2314yes—
585#389C2312yes—
586#389C2312yes—
587#389C2314yes—
588#389C2314yes—
589#389C2312yes—
590#389C2314yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2314yes—
596#389C2314yes—
597#389C2314yes—
598#389C2312yes—
599#389C2314yes—
600#389C2312yes—
601#389C2314yes—
602#389C2312yes—
603#389C2314yes—
604#389C2312yes—
605#389C2312yes—
606#389C2314yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2312yes—
622#388C2314yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2312yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2314yes—
639#387C2312yes—
640#387C2312yes—
641#387C2314yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2314yes—
650#387C2314yes—
651#387C2312yes—
652#387C2314yes—
653#387C2312yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2312yes—
661#386C2312yes—
662#386C2314yes—
663#386C2312yes—
664#386C2312yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2312yes—
677#386C2314yes—
678#385C2314yes—
679#385C2312yes—
680#385C2312yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2312yes—
693#385C2312yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2312yes—
703#384C2312yes—
704#384C2311yescharacteristic
705#384C2311yescharacteristic
706#384C2312yes—
707#384C2312yes—
708#384C2311yescharacteristic
709#384C2312yes—
710#384C2311yescharacteristic
711#384C2311yescharacteristic
712#384C2311yescharacteristic
713#384C2312yes—
714#384C2312yes—
715#384C2312yes—
716#384C2312yes—
717#383C2312yes—
718#383C2312yes—
719#383C2312yes—
720#382C2311yescharacteristic
721#382C2314yes—
722#382C2311yescharacteristic
723#382C2312yes—
724#382C2311yescharacteristic
725#382C2311yescharacteristic
726#382C2312yes—
727#382C2311yescharacteristic
728#382C2312yes—
729#382C2312yes—
730#382C2312yes—
731#382C2312yes—
732#382C2314yes—
733#382C2311yescharacteristic
734#382C2311yescharacteristic
735#382C2312yes—
736#382C2312yes—
737#381C2314yes—
738#381C2312yes—
739#381C2312yes—
740#381C2312yes—
741#381C2314yes—
742#381C2312yes—
743#380C2311yescharacteristic
744#380C2311yescharacteristic
745#380C2311yescharacteristic
746#380C2311yescharacteristic
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2314yes—
752#380C2314yes—
753#380C2311yescharacteristic
754#380C2314yes—
755#380C2311yescharacteristic
756#380C2312yes—
757#380C2311yescharacteristic
758#380C2311yescharacteristic
759#380C2311yescharacteristic
760#380C2311yescharacteristic
761#380C2311yescharacteristic
762#380C2312yes—
763#380C2311yescharacteristic
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810#376C2312yes—
811#376C2312yes—
812#376C2312yes—
813C2×#95C2314yes—
814C43C2311yescharacteristic
815C43C2312yes—
816C22×Q8C2411yescharacteristic
817C22×Q8C2412yes—
818C22×Q8C2414yes—
819C22×Q8C2414yes—
820C22×D4C2412yes—
821C22×D4C2412yes—
822C22×D4C2411yescharacteristic
823C22×D4C2412yes—
824C22×D4C2411yescharacteristic
825C22×D4C2414yes—
826C22×D4C2412yes—
827C22×D4C2414yes—
828C22×D4C2414yes—
829C22×D4C2412yes—
830C22×D4C2414yes—
831C23×C4C2412yes—
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2412yes—
838C23×C4C2414yes—
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2414yes—
842C23×C4C2414yes—
843C23×C4C2414yes—
844C23×C4C2414yes—
845C23×C4C2414yes—
846C4⋊Q8—42no—
847C4⋊Q8—44no—
848C4⋊Q8—44no—
849C4⋊Q8—44no—
850C4⋊Q8—44no—
851#127—28no—
852#127—24no—
853#126—48no—
854#126—48no—
855#126—48no—
856#125—28no—
857#125—24no—
858#125—44no—
859#125—44no—
860#125—44no—
861#125—48no—
862#124—28no—
863#124—48no—
864#124—44no—
865#123—48no—
866#123—48no—
867#123—44no—
868#123—48no—
869#123—48no—
870C22⋊Q8—28no—
871C22⋊Q8—24no—
872C22⋊Q8—24no—
873C22⋊Q8—48no—
874C22⋊Q8—48no—
875C22⋊Q8—48no—
876C22⋊Q8—48no—
877C22⋊Q8—48no—
878C22⋊Q8—48no—
879C22⋊Q8—48no—
880C22⋊Q8—48no—
881C22⋊Q8—48no—
882C22⋊Q8—84no—
883C22⋊Q8—84no—
884C22⋊Q8—84no—
885C22⋊Q8—84no—
886#121—24no—
887#121—24no—
888#121—48no—
889#121—48no—
890#121—44no—
891#121—44no—
892#121—44no—
893#121—44no—
894#121—44no—
895#121—44no—
896#121—44no—
897#121—84no—
898#121—82no—
899C4×Q8—24no—
900C4×Q8—28no—
901C4×Q8—28no—
902C4×Q8—24no—
903C4×Q8—44no—
904C4×Q8—42no—
905C4×D4—24no—
906C4×D4—24no—
907C4×D4—28no—
908C4×D4—24no—
909C4×D4—24no—
910C4×D4—48no—
911C4×D4—48no—
912C4×D4—44no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—44no—
920C4×D4—42no—
921C4×D4—44no—
922C4×D4—48no—
923C4×D4—42no—
924C4×D4—82no—
925C4×D4—84no—
926#117—44no—
927#117—48no—
928#117—44no—
929C2×C4⋊C4—44no—
930C2×C4⋊C4—44no—
931C2×C4⋊C4—44no—
932C2×C4⋊C4—44no—
933C2×C4⋊C4—48no—
934C2×C4⋊C4—48no—
935C2×C4⋊C4—82no—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
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⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2411yescharacteristic
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2411yescharacteristic
1045C2×C22⋊C4C2411yescharacteristic
1046C2×C22⋊C4C2411yescharacteristic
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C42—24no—
1067C2×C42—24no—
1068C2×C42—44no—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2414yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2412yes—
1088C2×C42C2414yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2412yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2412yes—
1093C2×C42C2414yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098#95C2412yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
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#95C2411yescharacteristic
1117#95C2411yescharacteristic
1118#95C2411yescharacteristic
1119#95C2411yescharacteristic
1120#95C2412yes—
1121#95C2411yescharacteristic
1122#95C2412yes—
1123#95C2411yescharacteristic
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172C24C2511yescharacteristic
1173C24C2514yes—
1174C24C2512yes—
1175C24C2511yescharacteristic
1176C2×Q8—24no—
1177C2×Q8—22no—
1178C2×Q8—22no—
1179C2×Q8—42no—
1180C2×Q8—42no—
1181C2×Q8—44no—
1182C2×Q8—44no—
1183C2×Q8—44no—
1184C2×Q8—44no—
1185C2×Q8—44no—
1186C2×Q8—44no—
1187C2×Q8H(5,𝔽2)14yes—
1188C2×D4—24no—
1189C2×D4—22no—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—28no—
1193C2×D4—28no—
1194C2×D4—28no—
1195C2×D4—22no—
1196C2×D4—24no—
1197C2×D4—22no—
1198C2×D4—24no—
1199C2×D4—22no—
1200C2×D4—24no—
1201C2×D4—24no—
1202C2×D4—24no—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—42no—
1206C2×D4—41no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—44no—
1212C2×D4—42no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—42no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D42−1+414yes—
1221C22×C4—22no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—24no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—24no—
1240C22×C4—28no—
1241C22×C4—22no—
1242C22×C4—41no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—41no—
1250C22×C4—44no—
1251C22×C4—42no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—41no—
1255C22×C4—42no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4C2511yescharacteristic
1267C22×C4C2512yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2511yescharacteristic
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2514yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2514yes—
1289C22×C4C2512yes—
1290C22×C4C2514yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2512yes—
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—22no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—28no—
1306C4⋊C4—24no—
1307C4⋊C4—28no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—24no—
1315C4⋊C4—28no—
1316C4⋊C4—24no—
1317C4⋊C4—28no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—24no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—44no—
1342C4⋊C4—42no—
1343C4⋊C4—44no—
1344C4⋊C4—42no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—42no—
1353C4⋊C4—44no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C4⋊C4—42no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—42no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—22no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—28no—
1380C22⋊C4—22no—
1381C22⋊C4—28no—
1382C22⋊C4—24no—
1383C22⋊C4—22no—
1384C22⋊C4—24no—
1385C22⋊C4—28no—
1386C22⋊C4—28no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—44no—
1394C22⋊C4—41no—
1395C22⋊C4—41no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—41no—
1399C22⋊C4—44no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—42no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—44no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C42—22no—
1428C42—24no—
1429C42—24no—
1430C42—24no—
1431C42—24no—
1432C42—24no—
1433C42—28no—
1434C42—22no—
1435C42—22no—
1436C42—22no—
1437C42—22no—
1438C42—22no—
1439C42—22no—
1440C42—22no—
1441C42—24no—
1442C42—24no—
1443C42—24no—
1444C42—22no—
1445C42—42no—
1446C42—42no—
1447C42—44no—
1448C42—41no—
1449C42—41no—
1450C42—42no—
1451C42—42no—
1452C42—44no—
1453C42—42no—
1454C42H(5,𝔽2)14yes—
1455C422−1+414yes—
1456C23—21no—
1457C23—22no—
1458C23—22no—
1459C23—21no—
1460C23—22no—
1461C23—21no—
1462C23—21no—
1463C23—22no—
1464C23—21no—
1465C23—22no—
1466C23—21no—
1467C23—22no—
1468C23—21no—
1469C23—24no—
1470C23—24no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—24no—
1475C23—24no—
1476C23—21no—
1477C23—21no—
1478C23—24no—
1479C23—24no—
1480C23—24no—
1481C23—21no—
1482C23C2×2−1+414yes—
1483C23#58512yes—
1484C23C2611yescharacteristic
1485Q8—28no—
1486Q8—84no—
1487Q8—164no—
1488Q8—164no—
1489D4—28no—
1490D4—44no—
1491D4—48no—
1492D4—48no—
1493D4—48no—
1494D4—84no—
1495D4—88no—
1496D4—88no—
1497D4—84no—
1498D4—88no—
1499D4—164no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—24no—
1522C2×C4—24no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—24no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—24no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—24no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—24no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—44no—
1584C2×C4—44no—
1585C2×C4—44no—
1586C2×C4—48no—
1587C2×C4—44no—
1588C2×C4—44no—
1589C2×C4—88no—
1590C2×C4—84no—
1591C2×C4—82no—
1592C2×C4—84no—
1593C2×C4—88no—
1594C2×C4—88no—
1595C2×C4—164no—
1596C2×C4—164no—
1597C2×C4—164no—
1598C2×C4C2×H(5,𝔽2)14yes—
1599C2×C4C2×H(5,𝔽2)12yes—
1600C2×C4C2×H(5,𝔽2)12yes—
1601C2×C4C2×H(5,𝔽2)12yes—
1602C2×C4C2×H(5,𝔽2)12yes—
1603C2×C4C2×2−1+412yes—
1604C2×C4C2×2−1+412yes—
1605C2×C4C2×2−1+412yes—
1606C2×C4C2×2−1+412yes—
1607C2×C4#58512yes—
1608C22—24no—
1609C22—22no—
1610C22—24no—
1611C22—22no—
1612C22—24no—
1613C22—22no—
1614C22—41no—
1615C22—42no—
1616C22—41no—
1617C22—42no—
1618C22—42no—
1619C22—41no—
1620C22—41no—
1621C22—42no—
1622C22—41no—
1623C22—44no—
1624C22—41no—
1625C22—44no—
1626C22—44no—
1627C22—41no—
1628C22—44no—
1629C22—41no—
1630C22—44no—
1631C22—41no—
1632C22—41no—
1633C22—44no—
1634C22—41no—
1635C22—44no—
1636C22C22×H(5,𝔽2)11yescharacteristic
1637C22C22×H(5,𝔽2)11yescharacteristic
1638C22C22×2−1+411yescharacteristic
1639C22C22×2−1+411yescharacteristic
1640C22C2×#58511yescharacteristic
1641C22C2×#58511yescharacteristic
1642C22H(7,𝔽2)11yescharacteristic
1643C4—24no—
1644C4—22no—
1645C4—22no—
1646C4—22no—
1647C4—42no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—42no—
1653C4—42no—
1654C4—42no—
1655C4—44no—
1656C4—42no—
1657C4—41no—
1658C4—42no—
1659C4—42no—
1660C4—44no—
1661C4—42no—
1662C4—44no—
1663C4—42no—
1664C4—42no—
1665C4—42no—
1666C4—41no—
1667C4—42no—
1668C4—42no—
1669C4—42no—
1670C4—41no—
1671C4—41no—
1672C4#355214yes—
1673C4#355914yes—
1674C2—44no—
1675C2—42no—
1676C2—81no—
1677C2—84no—
1678C2C2×#355911yescharacteristic
1679C2C2×#355211yescharacteristic
1680C2#6274811yescharacteristic
1681C2#6291611yescharacteristic
1682C2#6295111yescharacteristic
1683C2#6295811yescharacteristic
1684C2#6301511yescharacteristic
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. #59657C2semidirect
2. #59458C2semidirect
3. #59314C2semidirect
4. #59214C2semidirect
5. #59076C2semidirect
6. #53756C2semidirect
7. #53698C2semidirect
8. #53089C2semidirect
9. #53001C2semidirect
10. #53001C2semidirect
11. #52963C2semidirect
12. #52487C2semidirect
13. #42833C2semidirect
14. #42794C2semidirect
15. #42739C2semidirect
16. #42609C2semidirect
17. #41177C2semidirect
18. #40052C2semidirect
19. #39952C2semidirect
20. #39611C2semidirect
21. #39351C2semidirect
22. #39148C2semidirect
23. #39148C2semidirect
24. #39147C2semidirect
25. #37767C2semidirect
26. #37624C2semidirect
27. #37623C2semidirect
28. #37571C2semidirect
29. #37505C2semidirect
30. #36584C2semidirect
31. #36261C2semidirect
32. #36182C2semidirect
33. #34945C2semidirect
34. #34934C2semidirect
35. #34917C2semidirect

Maximal subgroups

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

subgroupindex
#596572
#594582
#593142
#592142
#590762
#537562
#536982
#530892
#530012
#529632
#524872
#428332
#427942
#427392
#426092
#411772
#400522
#399522
#396112
#393512
#391482
#391472
#377672
#376242
#376232
#375712
#375052
#365842
#362612
#361822
#349452
#349342
#349172