Finite Group Databasebeta

← #9515339

Subgroups — #9515339

Order 512.

4145 conjugacy classes of subgroups.

The subgroup lattice has 2053 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58894C212yesmaximal, complemented
2#58009C212yesmaximal, complemented
3#57819C212yesmaximal, complemented
4#57434C212yesmaximal, complemented
5#57226C212yesmaximal, complemented
6#56961C212yesmaximal, complemented
7#56745C212yesmaximal, complemented
8#56321C212yesmaximal, complemented
9#55890C212yesmaximal, complemented
10#55658C212yesmaximal, complemented
11#54994C212yesmaximal, complemented
12#53417C212yesmaximal, complemented
13#53196C211yesmaximal, characteristic, complemented
14#52452C212yesmaximal, complemented
15#52014C212yesmaximal, complemented
16#51872C212yesmaximal, complemented
17#51787C212yesmaximal, complemented
18#49128C212yesmaximal, complemented
19#48183C212yesmaximal, complemented
20#47799C212yesmaximal, complemented
21#47116C212yesmaximal, complemented
22#46132C211yesmaximal, characteristic, complemented
23#44449C212yesmaximal, complemented
24#43790C212yesmaximal, complemented
25#43408C212yesmaximal, complemented
26#42850C212yesmaximal, complemented
27#42261C212yesmaximal, complemented
28#41905C212yesmaximal, complemented
29#41492C212yesmaximal, complemented
30#41201C212yesmaximal, complemented
31#39670C211yesmaximal, characteristic, complemented
32#39126C211yesmaximal, characteristic
33#37755C211yesmaximal, characteristic, complemented
34#37166C211yesmaximal, characteristic, complemented
35#36762C211yesmaximal, characteristic, complemented
36C2×#563C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#544C2212yes—
39C2×#544C2211yescharacteristic
40C2×#529C2211yescharacteristic
41#2857C2211yescharacteristic
42#2855C2211yescharacteristic
43#2851C2211yescharacteristic
44#2851C2211yescharacteristic
45#2839C2212yes—
46#2839C2212yes—
47#2839C2212yes—
48#2839C2212yes—
49#2839C2212yes—
50#2839C2212yes—
51#2839C2212yes—
52#2839C2212yes—
53#2838C2212yes—
54#2838C2212yes—
55#2834C2212yes—
56#2833C2212yes—
57#2831C2212yes—
58#2831C2212yes—
59#2831C2212yes—
60#2827C2212yes—
61#2827C2212yes—
62#2822C2211yescharacteristic
63#2822C2211yescharacteristic
64#2822C2212yes—
65#2810C2212yes—
66#2810C2212yes—
67#2809C2212yes—
68#2809C2211yescharacteristic
69#2807C2212yes—
70#2806C2211yescharacteristic
71#2806C2211yescharacteristic
72#2805C2211yescharacteristic
73#2805C2211yescharacteristic
74#2802C2212yes—
75#2802C2212yes—
76#2802C2212yes—
77#2802C2212yes—
78#2796C2212yes—
79#2794C2212yes—
80#2794C2212yes—
81#2793C2212yes—
82#2791C2212yes—
83#2791C2212yes—
84#2791C2212yes—
85#2791C2212yes—
86#2791C2212yes—
87#2789C2212yes—
88#2788C2212yes—
89#2788C2212yes—
90#2787C2212yes—
91#2787C2212yes—
92#2786C2212yes—
93#2783C2212yes—
94#2782C2212yes—
95#2780C2212yes—
96#2780C2212yes—
97#2780C2212yes—
98#2776C2212yes—
99#2775C2212yes—
100#2774C2212yes—
101#2770C2212yes—
102#2768C2212yes—
103#2768C2212yes—
104#2768C2212yes—
105#2768C2212yes—
106#2767C2212yes—
107#2767C2212yes—
108#2767C2212yes—
109#2767C2212yes—
110#2766C2212yes—
111#2765C2212yes—
112#2765C2212yes—
113#2762C2212yes—
114#2758C2212yes—
115#2757C2212yes—
116#2755C2212yes—
117#2754C2212yes—
118#2751C2212yes—
119#2750C2212yes—
120#2748C2212yes—
121#2747C2212yes—
122#2747C2212yes—
123#2747C2212yes—
124#2746C2212yes—
125#2746C2212yes—
126#2745C2212yes—
127#2745C2212yes—
128#2744C2212yes—
129#2744C2212yes—
130#2743C2212yes—
131#2743C2212yes—
132#2743C2212yes—
133#2742C2212yes—
134#2742C2212yes—
135#2742C2212yes—
136#2741C2212yes—
137#2739C2212yes—
138#2739C2212yes—
139#2739C2212yes—
140#2734C2212yes—
141#2732C2211yescharacteristic
142#2732C2212yes—
143#2731C2212yes—
144#2729C2212yes—
145#2729C2212yes—
146#2729C2212yes—
147#2729C2212yes—
148#2728C2212yes—
149#2728C2212yes—
150#2726C2211yescharacteristic
151#2726C2212yes—
152#2725C2212yes—
153#2724C2211yescharacteristic
154#2722C2212yes—
155#2722C2212yes—
156#2722C2212yes—
157#2720C2212yes—
158#2720C2212yes—
159#2719C2212yes—
160#2719C2212yes—
161#2719C2212yes—
162#2719C2212yes—
163#2719C2212yes—
164#2718C2212yes—
165#2718C2212yes—
166#2716C2212yes—
167#2716C2212yes—
168#2713C2212yes—
169#2713C2212yes—
170#2713C2212yes—
171#2713C2212yes—
172#2713C2212yes—
173#2713C2212yes—
174#2708C2212yes—
175#2708C2212yes—
176#2708C2212yes—
177#2708C2212yes—
178#2708C2212yes—
179#2708C2212yes—
180#2704C2212yes—
181#2704C2212yes—
182#2702C2212yes—
183#2702C2212yes—
184#2702C2212yes—
185#2698C2212yes—
186#2695C2212yes—
187#2694C2212yes—
188#2691C2212yes—
189#2690C2212yes—
190#2690C2212yes—
191#2690C2212yes—
192#2689C2212yes—
193#2689C2212yes—
194#2687C2212yes—
195#2681C2212yes—
196#2681C2212yes—
197#2681C2212yes—
198#2677C2212yes—
199#2677C2212yes—
200#2677C2212yes—
201#2667C2212yes—
202#2664C2212yes—
203#2664C2212yes—
204#2659C2211yescharacteristic
205#2655C2212yes—
206#2655C2212yes—
207#2655C2212yes—
208#2655C2212yes—
209#2653C2212yes—
210#2652C2212yes—
211#2652C2212yes—
212#2650C2212yes—
213#2649C2212yes—
214#2649C2212yes—
215#2649C2212yes—
216#2647C2212yes—
217#2646C2212yes—
218#2646C2212yes—
219#2646C2212yes—
220#2646C2211yescharacteristic
221#2645C2212yes—
222#2643C2212yes—
223#2639C2211yescharacteristic
224#2638C2212yes—
225#2629C2212yes—
226#2629C2212yes—
227#2627C2211yescharacteristic
228#2627C2211yescharacteristic
229#2618C2211yescharacteristic
230#2612C2212yes—
231#2611C2212yes—
232#2611C2212yes—
233#2609C2212yes—
234#2606C2212yes—
235#2601C2212yes—
236#2601C2212yes—
237#2599C2212yes—
238#2596C2212yes—
239#2595C2212yes—
240#2590C2212yes—
241#2590C2212yes—
242#2587C2212yes—
243#2580C2212yes—
244#2577C2212yes—
245#2569C2212yes—
246#2569C2212yes—
247#2569C2212yes—
248#2569C2212yes—
249#2565C2212yes—
250#2564C2212yes—
251#2564C2212yes—
252#2563C2211yescharacteristic
253#2562C2212yes—
254#2559C2212yes—
255#2558C2212yes—
256#2556C2212yes—
257#2549C2212yes—
258#2549C2212yes—
259#2546C2212yes—
260#2537C2212yes—
261#2537C2211yescharacteristic
262#2536C2212yes—
263#2536C2212yes—
264#2531C2212yes—
265#2531C2212yes—
266#2530C2212yes—
267#2530C2212yes—
268#2530C2212yes—
269#2530C2212yes—
270#2529C2212yes—
271#2528C2212yes—
272#2528C2212yes—
273#2527C2212yes—
274#2519C2212yes—
275#2517C2212yes—
276#2511C2212yes—
277#2510C2212yes—
278#2509C2212yes—
279#2506C2212yes—
280#2506C2212yes—
281#2505C2212yes—
282#2505C2212yes—
283#2505C2212yes—
284#2505C2212yes—
285#2505C2212yes—
286#2505C2212yes—
287#2502C2212yes—
288#2494C2212yes—
289#2493C2212yes—
290#2493C2212yes—
291#2492C2212yes—
292#2492C2212yes—
293#2488C2212yes—
294#2487C2212yes—
295#2485C2212yes—
296#2479C2212yes—
297#2478C2212yes—
298#2477C2212yes—
299#2477C2212yes—
300#2477C2212yes—
301#2477C2212yes—
302#2476C2212yes—
303#2475C2212yes—
304#2475C2212yes—
305#2475C2212yes—
306#2475C2212yes—
307#2473C2212yes—
308#2473C2212yes—
309#2473C2212yes—
310#2473C2212yes—
311#2473C2212yes—
312#2468C2212yes—
313#2468C2212yes—
314#2466C2212yes—
315#2462C2212yes—
316#2460C2212yes—
317#2460C2212yes—
318#2460C2212yes—
319#2460C2212yes—
320#2453C2212yes—
321#2453C2212yes—
322#2452C2212yes—
323#2450C2212yes—
324#2450C2212yes—
325#2450C2212yes—
326#2450C2212yes—
327#2450C2212yes—
328#2450C2212yes—
329#2449C2212yes—
330#2449C2212yes—
331#2446C2212yes—
332#2446C2212yes—
333#2446C2212yes—
334#2446C2212yes—
335#2444C2212yes—
336#2444C2212yes—
337#2444C2212yes—
338#2443C2212yes—
339#2442C2212yes—
340#2439C2212yes—
341#2438C2212yes—
342#2438C2212yes—
343#2438C2212yes—
344#2438C2212yes—
345#2429C2212yes—
346#2429C2212yes—
347#2429C2212yes—
348#2426C2212yes—
349#2419C2212yes—
350#2416C2212yes—
351#2413C2212yes—
352#2402C2212yes—
353#2398C2212yes—
354C2×#400C2212yes—
355#2379C2211yescharacteristic
356#2377C2212yes—
357#2373C2212yes—
358#2368C2212yes—
359#2365C2212yes—
360#2364C2212yes—
361#2364C2212yes—
362#2359C2212yes—
363#2359C2212yes—
364#2359C2212yes—
365Q8×C4⋊C4C2211yescharacteristic
366#2349C2212yes—
367#2334C2212yes—
368#2329C2211yescharacteristic
369#2329C2211yescharacteristic
370#2329C2211yescharacteristic
371#2327C2212yes—
372#2325C2212yes—
373#2325C2211yescharacteristic
374#2325C2211yescharacteristic
375#2324C2212yes—
376#2322C2212yes—
377C4×#121C2211yescharacteristic
378C2×#387C2211yescharacteristic
379#563—44no—
380#554—44no—
381#544—44no—
382#544—48no—
383C2×C4⋊Q8C2312yes—
384C2×C4⋊Q8C2312yes—
385C2×C4⋊Q8C2311yescharacteristic
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2312yes—
389C2×C4⋊Q8C2312yes—
390#529—44no—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#125C2312yes—
397C2×#125C2311yescharacteristic
398C2×#125C2311yescharacteristic
399C2×#125C2311yescharacteristic
400C2×#125C2312yes—
401C2×#125C2312yes—
402C2×#125C2312yes—
403C2×#125C2312yes—
404C2×#125C2312yes—
405C2×#125C2312yes—
406C2×#125C2312yes—
407C2×#125C2312yes—
408C2×#124C2311yescharacteristic
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×C22⋊Q8C2311yescharacteristic
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2311yescharacteristic
417C2×C22⋊Q8C2311yescharacteristic
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×#121C2312yes—
430C2×#121C2311yescharacteristic
431C2×#121C2312yes—
432C2×#121C2311yescharacteristic
433C2×#121C2312yes—
434C2×#121C2312yes—
435C2×C4×Q8C2311yescharacteristic
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2311yescharacteristic
441C2×C4×D4C2311yescharacteristic
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×#117C2312yes—
449C2×#117C2312yes—
450C2×#117C2312yes—
451C2×#117C2312yes—
452C2×#117C2312yes—
453C22×C4⋊C4C2312yes—
454C22×C4⋊C4C2311yescharacteristic
455C22×C4⋊C4C2311yescharacteristic
456C22×C4⋊C4C2312yes—
457C22×C42C2311yescharacteristic
458#401C2312yes—
459#401C2312yes—
460#401C2312yes—
461#401C2312yes—
462#401C2312yes—
463#400C2312yes—
464#400C2312yes—
465#400C2312yes—
466#400C2312yes—
467#400C2312yes—
468#400C2312yes—
469#400C2312yes—
470#400C2312yes—
471#400C2312yes—
472#400C2312yes—
473#400C2312yes—
474#400C2312yes—
475#400C2312yes—
476#400C2312yes—
477#400C2312yes—
478#400C2312yes—
479#400C2312yes—
480#400C2312yes—
481#400C2312yes—
482#400C2312yes—
483#400C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#400C2312yes—
524#400C2312yes—
525#400C2312yes—
526#400C2312yes—
527#400C2312yes—
528#400C2312yes—
529#400C2312yes—
530#400C2312yes—
531#400C2312yes—
532#400C2312yes—
533#400C2312yes—
534#399C2312yes—
535#399C2312yes—
536#399C2312yes—
537#399C2312yes—
538#399C2312yes—
539#399C2312yes—
540#399C2312yes—
541#399C2312yes—
542#399C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2312yes—
573#398C2312yes—
574#398C2312yes—
575#398C2312yes—
576#398C2312yes—
577#398C2312yes—
578#398C2312yes—
579#398C2312yes—
580#398C2312yes—
581#398C2312yes—
582#398C2312yes—
583#398C2312yes—
584#398C2312yes—
585#398C2312yes—
586#398C2312yes—
587#398C2312yes—
588#398C2312yes—
589#398C2312yes—
590#398C2312yes—
591#398C2312yes—
592#398C2312yes—
593#398C2312yes—
594#398C2312yes—
595#398C2312yes—
596#398C2312yes—
597#398C2312yes—
598#398C2312yes—
599#398C2312yes—
600#398C2312yes—
601#398C2312yes—
602#398C2312yes—
603#398C2312yes—
604#398C2312yes—
605#398C2312yes—
606#398C2312yes—
607#398C2312yes—
608#398C2312yes—
609#398C2312yes—
610#398C2312yes—
611#398C2312yes—
612#398C2312yes—
613#398C2312yes—
614#398C2312yes—
615#398C2312yes—
616#397C2312yes—
617#397C2312yes—
618#397C2312yes—
619#397C2312yes—
620#397C2312yes—
621#397C2312yes—
622#397C2312yes—
623#397C2312yes—
624#397C2312yes—
625#397C2312yes—
626#397C2312yes—
627#397C2312yes—
628#397C2312yes—
629#397C2312yes—
630#397C2312yes—
631#397C2312yes—
632#397C2312yes—
633#397C2312yes—
634#397C2312yes—
635#397C2312yes—
636#397C2312yes—
637#397C2312yes—
638#397C2312yes—
639#397C2312yes—
640#397C2312yes—
641#397C2312yes—
642#397C2312yes—
643#397C2312yes—
644#396C2312yes—
645#396C2312yes—
646#396C2312yes—
647#396C2312yes—
648#396C2312yes—
649#396C2312yes—
650#396C2312yes—
651#396C2312yes—
652#396C2312yes—
653#396C2312yes—
654#396C2312yes—
655#396C2312yes—
656#396C2312yes—
657#396C2312yes—
658#396C2312yes—
659#396C2312yes—
660#396C2312yes—
661#396C2312yes—
662#396C2312yes—
663#396C2312yes—
664#396C2312yes—
665#395C2312yes—
666#395C2312yes—
667#395C2312yes—
668#395C2312yes—
669#395C2312yes—
670#395C2312yes—
671#395C2312yes—
672#395C2312yes—
673#395C2312yes—
674#395C2312yes—
675#395C2312yes—
676#395C2312yes—
677#395C2312yes—
678#394C2312yes—
679#394C2312yes—
680#394C2312yes—
681#394C2312yes—
682#394C2312yes—
683#394C2312yes—
684#394C2312yes—
685#394C2312yes—
686#394C2312yes—
687#394C2312yes—
688#394C2312yes—
689#394C2312yes—
690#394C2312yes—
691#394C2312yes—
692#394C2312yes—
693#394C2312yes—
694#394C2312yes—
695#394C2312yes—
696#393C2312yes—
697#393C2312yes—
698#393C2312yes—
699#393C2312yes—
700#393C2312yes—
701#393C2312yes—
702#393C2312yes—
703#393C2312yes—
704#393C2312yes—
705#393C2312yes—
706#391C2312yes—
707#391C2312yes—
708#391C2312yes—
709#391C2312yes—
710#391C2312yes—
711#391C2312yes—
712#391C2312yes—
713#391C2312yes—
714#391C2312yes—
715#391C2312yes—
716#391C2311yescharacteristic
717#391C2311yescharacteristic
718#391C2311yescharacteristic
719#391C2311yescharacteristic
720#391C2312yes—
721#391C2312yes—
722#391C2312yes—
723#391C2312yes—
724#391C2312yes—
725#391C2312yes—
726#391C2312yes—
727#391C2312yes—
728#391C2312yes—
729#390C2312yes—
730#390C2311yescharacteristic
731#390C2312yes—
732#390C2312yes—
733#390C2312yes—
734#390C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2311yescharacteristic
758#389C2311yescharacteristic
759#389C2311yescharacteristic
760#389C2311yescharacteristic
761#389C2312yes—
762#389C2311yescharacteristic
763#389C2311yescharacteristic
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2311yescharacteristic
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2312yes—
787#389C2312yes—
788#388C2312yes—
789#388C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#388C2312yes—
795#388C2312yes—
796#388C2312yes—
797#388C2312yes—
798#388C2312yes—
799#388C2312yes—
800#388C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#387C2312yes—
838#387C2312yes—
839#387C2312yes—
840#387C2312yes—
841#387C2312yes—
842#387C2312yes—
843#387C2312yes—
844#387C2312yes—
845#387C2312yes—
846#387C2312yes—
847#387C2312yes—
848#387C2312yes—
849#387C2312yes—
850#387C2312yes—
851#387C2312yes—
852#387C2312yes—
853#387C2312yes—
854#387C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#386C2312yes—
936#386C2312yes—
937#386C2312yes—
938#386C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
943#386C2312yes—
944#386C2312yes—
945#386C2312yes—
946#386C2312yes—
947#386C2312yes—
948#386C2312yes—
949#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#385C2312yes—
960#385C2312yes—
961#385C2312yes—
962#385C2312yes—
963#385C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#385C2312yes—
1003#385C2312yes—
1004#385C2312yes—
1005#385C2312yes—
1006#385C2312yes—
1007#385C2312yes—
1008#385C2312yes—
1009#385C2312yes—
1010#385C2312yes—
1011#385C2312yes—
1012#385C2312yes—
1013#384C2312yes—
1014#384C2311yescharacteristic
1015#384C2312yes—
1016#384C2312yes—
1017#383C2312yes—
1018#383C2312yes—
1019#382C2312yes—
1020#382C2312yes—
1021#382C2311yescharacteristic
1022#382C2311yescharacteristic
1023#382C2312yes—
1024#382C2312yes—
1025#382C2312yes—
1026#382C2312yes—
1027#382C2312yes—
1028#382C2312yes—
1029#381C2312yes—
1030#381C2312yes—
1031#381C2312yes—
1032#381C2312yes—
1033#381C2312yes—
1034#381C2312yes—
1035#381C2312yes—
1036#380C2311yescharacteristic
1037#380C2312yes—
1038#380C2312yes—
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2311yescharacteristic
1054#380C2311yescharacteristic
1055#380C2311yescharacteristic
1056#380C2311yescharacteristic
1057#380C2311yescharacteristic
1058#380C2312yes—
1059#380C2312yes—
1060#380C2312yes—
1061#380C2312yes—
1062#380C2312yes—
1063#380C2312yes—
1064#380C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2311yescharacteristic
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C22⋊C4C2312yes—
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2312yes—
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090#376C2312yes—
1091#376C2312yes—
1092#376C2312yes—
1093C2×#95C2312yes—
1094C2×#95C2312yes—
1095C2×#95C2312yes—
1096C2×#95C2312yes—
1097C2×#95C2311yescharacteristic
1098C2×#95C2312yes—
1099C2×#95C2311yescharacteristic
1100C2×#95C2311yescharacteristic
1101C2×#95C2311yescharacteristic
1102C2×#95C2312yes—
1103C22×Q8C2412yes—
1104C22×Q8C2412yes—
1105C22×Q8C2412yes—
1106C22×Q8C2411yescharacteristic
1107C22×Q8C2411yescharacteristic
1108C22×Q8C2411yescharacteristic
1109C22×Q8C2411yescharacteristic
1110C22×D4C2412yes—
1111C22×D4C2411yescharacteristic
1112C22×D4C2412yes—
1113C22×D4C2412yes—
1114C22×D4C2412yes—
1115C22×D4C2411yescharacteristic
1116C23×C4C2411yescharacteristic
1117C23×C4C2412yes—
1118C23×C4C2412yes—
1119C23×C4C2411yescharacteristic
1120C23×C4C2411yescharacteristic
1121C23×C4C2411yescharacteristic
1122C23×C4C2412yes—
1123C23×C4C2411yescharacteristic
1124C23×C4C2412yes—
1125C23×C4C2412yes—
1126C23×C4C2412yes—
1127C23×C4C2411yescharacteristic
1128C23×C4C2412yes—
1129C23×C4C2411yescharacteristic
1130C23×C4C2412yes—
1131C23×C4C2412yes—
1132C23×C4C2412yes—
1133C4⋊Q8—28no—
1134C4⋊Q8—28no—
1135C4⋊Q8—42no—
1136C4⋊Q8—44no—
1137C4⋊Q8—44no—
1138C4⋊Q8—44no—
1139C4⋊Q8—82no—
1140#126—44no—
1141#126—44no—
1142#126—44no—
1143#126—44no—
1144#126—44no—
1145#125—42no—
1146#125—44no—
1147#125—44no—
1148#125—44no—
1149#125—44no—
1150#125—42no—
1151#125—42no—
1152#125—44no—
1153#125—44no—
1154#125—44no—
1155#125—82no—
1156#125—82no—
1157#124—24no—
1158#123—28no—
1159#123—44no—
1160#123—44no—
1161#123—44no—
1162C22⋊Q8—24no—
1163C22⋊Q8—28no—
1164C22⋊Q8—42no—
1165C22⋊Q8—42no—
1166C22⋊Q8—44no—
1167C22⋊Q8—44no—
1168C22⋊Q8—44no—
1169C22⋊Q8—44no—
1170C22⋊Q8—44no—
1171C22⋊Q8—44no—
1172C22⋊Q8—44no—
1173C22⋊Q8—42no—
1174C22⋊Q8—44no—
1175C22⋊Q8—82no—
1176C22⋊Q8—82no—
1177C22⋊Q8—82no—
1178#121—24no—
1179#121—28no—
1180#121—44no—
1181#121—44no—
1182#121—42no—
1183#121—82no—
1184C4×Q8—24no—
1185C4×Q8—82no—
1186C4×Q8—82no—
1187C4×Q8—82no—
1188C4×D4—44no—
1189C4×D4—44no—
1190C4×D4—42no—
1191C4×D4—42no—
1192C4×D4—44no—
1193C4×D4—82no—
1194C4×D4—82no—
1195C4×D4—82no—
1196C4×D4—82no—
1197#117—44no—
1198#117—44no—
1199#117—44no—
1200#117—44no—
1201#117—82no—
1202C2×C4⋊C4—42no—
1203C2×C4⋊C4—44no—
1204C2×C4⋊C4—44no—
1205C2×C4⋊C4—42no—
1206C2×C4⋊C4C2411yescharacteristic
1207C2×C4⋊C4C2412yes—
1208C2×C4⋊C4C2412yes—
1209C2×C4⋊C4C2412yes—
1210C2×C4⋊C4C2412yes—
1211C2×C4⋊C4C2412yes—
1212C2×C4⋊C4C2412yes—
1213C2×C4⋊C4C2412yes—
1214C2×C4⋊C4C2412yes—
1215C2×C4⋊C4C2411yescharacteristic
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2412yes—
1218C2×C4⋊C4C2411yescharacteristic
1219C2×C4⋊C4C2412yes—
1220C2×C4⋊C4C2412yes—
1221C2×C4⋊C4C2412yes—
1222C2×C4⋊C4C2412yes—
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2411yescharacteristic
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2411yescharacteristic
1257C2×C4⋊C4C2411yescharacteristic
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2411yescharacteristic
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2411yescharacteristic
1275C2×C4⋊C4C2411yescharacteristic
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2411yescharacteristic
1281C2×C4⋊C4C2411yescharacteristic
1282C2×C4⋊C4C2411yescharacteristic
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2411yescharacteristic
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2411yescharacteristic
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2411yescharacteristic
1304C2×C4⋊C4C2411yescharacteristic
1305C2×C4⋊C4C2411yescharacteristic
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2411yescharacteristic
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C22⋊C4C2412yes—
1316C2×C22⋊C4C2412yes—
1317C2×C22⋊C4C2412yes—
1318C2×C22⋊C4C2412yes—
1319C2×C22⋊C4C2412yes—
1320C2×C22⋊C4C2412yes—
1321C2×C22⋊C4C2412yes—
1322C2×C22⋊C4C2412yes—
1323C2×C22⋊C4C2412yes—
1324C2×C22⋊C4C2412yes—
1325C2×C22⋊C4C2412yes—
1326C2×C22⋊C4C2412yes—
1327C2×C22⋊C4C2412yes—
1328C2×C22⋊C4C2412yes—
1329C2×C22⋊C4C2412yes—
1330C2×C22⋊C4C2412yes—
1331C2×C22⋊C4C2412yes—
1332C2×C22⋊C4C2412yes—
1333C2×C22⋊C4C2412yes—
1334C2×C22⋊C4C2412yes—
1335C2×C22⋊C4C2412yes—
1336C2×C22⋊C4C2412yes—
1337C2×C22⋊C4C2412yes—
1338C2×C22⋊C4C2412yes—
1339C2×C22⋊C4C2412yes—
1340C2×C22⋊C4C2412yes—
1341C2×C22⋊C4C2412yes—
1342C2×C22⋊C4C2412yes—
1343C2×C22⋊C4C2412yes—
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2412yes—
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C42—42no—
1370C2×C42C2412yes—
1371C2×C42C2412yes—
1372C2×C42C2412yes—
1373C2×C42C2411yescharacteristic
1374C2×C42C2411yescharacteristic
1375C2×C42C2411yescharacteristic
1376C2×C42C2412yes—
1377C2×C42C2412yes—
1378C2×C42C2412yes—
1379C2×C42C2412yes—
1380C2×C42C2412yes—
1381C2×C42C2412yes—
1382C2×C42C2412yes—
1383C2×C42C2412yes—
1384C2×C42C2412yes—
1385C2×C42C2412yes—
1386C2×C42C2412yes—
1387C2×C42C2412yes—
1388C2×C42C2412yes—
1389C2×C42C2411yescharacteristic
1390C2×C42C2412yes—
1391C2×C42C2412yes—
1392C2×C42C2412yes—
1393C2×C42C2412yes—
1394C2×C42C2412yes—
1395C2×C42C2412yes—
1396#95C2412yes—
1397#95C2412yes—
1398#95C2412yes—
1399#95C2412yes—
1400#95C2412yes—
1401#95C2412yes—
1402#95C2412yes—
1403#95C2412yes—
1404#95C2412yes—
1405#95C2412yes—
1406#95C2412yes—
1407#95C2412yes—
1408#95C2412yes—
1409#95C2412yes—
1410#95C2412yes—
1411#95C2412yes—
1412#95C2412yes—
1413#95C2412yes—
1414#95C2412yes—
1415#95C2412yes—
1416#95C2412yes—
1417#95C2412yes—
1418#95C2412yes—
1419#95C2412yes—
1420#95C2412yes—
1421#95C2412yes—
1422#95C2412yes—
1423#95C2412yes—
1424#95C2412yes—
1425#95C2412yes—
1426#95C2412yes—
1427#95C2412yes—
1428#95C2412yes—
1429#95C2412yes—
1430#95C2412yes—
1431#95C2412yes—
1432#95C2412yes—
1433#95C2412yes—
1434#95C2412yes—
1435#95C2412yes—
1436#95C2412yes—
1437#95C2412yes—
1438#95C2412yes—
1439#95C2412yes—
1440#95C2412yes—
1441#95C2412yes—
1442#95C2412yes—
1443#95C2412yes—
1444#95C2412yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520C24C2512yes—
1521C24C2512yes—
1522C24C2511yescharacteristic
1523C2×Q8—24no—
1524C2×Q8—24no—
1525C2×Q8—41no—
1526C2×Q8—41no—
1527C2×Q8—42no—
1528C2×Q8—42no—
1529C2×Q8—42no—
1530C2×Q8—42no—
1531C2×Q8—41no—
1532C2×Q8—41no—
1533C2×Q8—41no—
1534C2×Q8—42no—
1535C2×Q8—41no—
1536C2×Q8—41no—
1537C2×Q8—42no—
1538C2×Q8—41no—
1539C2×Q8—41no—
1540C2×Q8—42no—
1541C2×Q8—41no—
1542C2×Q8—41no—
1543C2×Q8H(5,𝔽2)14yes—
1544C2×D4—24no—
1545C2×D4—24no—
1546C2×D4—24no—
1547C2×D4—24no—
1548C2×D4—24no—
1549C2×D4—22no—
1550C2×D4—41no—
1551C2×D4—42no—
1552C2×D4—41no—
1553C2×D4—42no—
1554C2×D4—42no—
1555C2×D4—42no—
1556C2×D4—42no—
1557C2×D4—42no—
1558C2×D4—41no—
1559C2×D4—41no—
1560C2×D4—42no—
1561C2×D42−1+414yes—
1562C22×C4—24no—
1563C22×C4—22no—
1564C22×C4—22no—
1565C22×C4—22no—
1566C22×C4—22no—
1567C22×C4—24no—
1568C22×C4—22no—
1569C22×C4—24no—
1570C22×C4—42no—
1571C22×C4—41no—
1572C22×C4—42no—
1573C22×C4—41no—
1574C22×C4—41no—
1575C22×C4—41no—
1576C22×C4—42no—
1577C22×C4—42no—
1578C22×C4—41no—
1579C22×C4—42no—
1580C22×C4—42no—
1581C22×C4—41no—
1582C22×C4—42no—
1583C22×C4—41no—
1584C22×C4—42no—
1585C22×C4—41no—
1586C22×C4—42no—
1587C22×C4—41no—
1588C22×C4—41no—
1589C22×C4—42no—
1590C22×C4—42no—
1591C22×C4—41no—
1592C22×C4—42no—
1593C22×C4—42no—
1594C22×C4—41no—
1595C22×C4—42no—
1596C22×C4—42no—
1597C22×C4—42no—
1598C22×C4—42no—
1599C22×C4—42no—
1600C22×C4—42no—
1601C22×C4—41no—
1602C22×C4—42no—
1603C22×C4—41no—
1604C22×C4—42no—
1605C22×C4—42no—
1606C22×C4—41no—
1607C22×C4—42no—
1608C22×C4—42no—
1609C22×C4—42no—
1610C22×C4—41no—
1611C22×C4—42no—
1612C22×C4—42no—
1613C22×C4C2512yes—
1614C22×C4C2512yes—
1615C22×C4C2512yes—
1616C22×C4C2512yes—
1617C22×C4C2512yes—
1618C22×C4C2512yes—
1619C22×C4C2512yes—
1620C22×C4C2512yes—
1621C22×C4C2512yes—
1622C22×C4C2511yescharacteristic
1623C22×C4C2512yes—
1624C22×C4C2512yes—
1625C22×C4C2512yes—
1626C22×C4C2512yes—
1627C22×C4C2511yescharacteristic
1628C22×C4C2512yes—
1629C22×C4C2512yes—
1630C22×C4C2512yes—
1631C22×C4C2512yes—
1632C22×C4C2512yes—
1633C22×C4C2512yes—
1634C22×C4C2512yes—
1635C22×C4C2512yes—
1636C22×C4C2512yes—
1637C22×C4C2511yescharacteristic
1638C22×C4C2512yes—
1639C22×C4C2511yescharacteristic
1640C22×C4C2512yes—
1641C22×C4C2512yes—
1642C22×C4C2511yescharacteristic
1643C22×C4C2512yes—
1644C22×C4C2511yescharacteristic
1645C4⋊C4—22no—
1646C4⋊C4—24no—
1647C4⋊C4—24no—
1648C4⋊C4—24no—
1649C4⋊C4—24no—
1650C4⋊C4—24no—
1651C4⋊C4—24no—
1652C4⋊C4—24no—
1653C4⋊C4—24no—
1654C4⋊C4—22no—
1655C4⋊C4—24no—
1656C4⋊C4—24no—
1657C4⋊C4—24no—
1658C4⋊C4—24no—
1659C4⋊C4—24no—
1660C4⋊C4—22no—
1661C4⋊C4—24no—
1662C4⋊C4—24no—
1663C4⋊C4—24no—
1664C4⋊C4—42no—
1665C4⋊C4—42no—
1666C4⋊C4—42no—
1667C4⋊C4—42no—
1668C4⋊C4—42no—
1669C4⋊C4—42no—
1670C4⋊C4—42no—
1671C4⋊C4—42no—
1672C4⋊C4—41no—
1673C4⋊C4—42no—
1674C4⋊C4—41no—
1675C4⋊C4—42no—
1676C4⋊C4—41no—
1677C4⋊C4—42no—
1678C4⋊C4—42no—
1679C4⋊C4—42no—
1680C4⋊C4—42no—
1681C4⋊C4—42no—
1682C4⋊C4—42no—
1683C4⋊C4—42no—
1684C4⋊C4—42no—
1685C4⋊C4—42no—
1686C4⋊C4—42no—
1687C4⋊C4—42no—
1688C4⋊C4—42no—
1689C4⋊C4—42no—
1690C4⋊C4—42no—
1691C4⋊C4—41no—
1692C4⋊C4—42no—
1693C4⋊C4—41no—
1694C4⋊C4—42no—
1695C4⋊C4—42no—
1696C4⋊C4—41no—
1697C4⋊C4—42no—
1698C4⋊C4—42no—
1699C4⋊C4—42no—
1700C4⋊C4—42no—
1701C4⋊C4—42no—
1702C4⋊C4—42no—
1703C4⋊C4—42no—
1704C4⋊C4—41no—
1705C4⋊C4—42no—
1706C4⋊C4—42no—
1707C4⋊C4—42no—
1708C4⋊C4—42no—
1709C4⋊C4—42no—
1710C4⋊C4—42no—
1711C4⋊C4—42no—
1712C4⋊C4—42no—
1713C4⋊C4—42no—
1714C4⋊C4—42no—
1715C4⋊C4—42no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—42no—
1722C4⋊C4—41no—
1723C4⋊C4—42no—
1724C4⋊C4—41no—
1725C4⋊C4—41no—
1726C4⋊C4—41no—
1727C4⋊C4—41no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—42no—
1733C4⋊C4—42no—
1734C4⋊C4—42no—
1735C4⋊C4—42no—
1736C4⋊C4—42no—
1737C4⋊C4—42no—
1738C4⋊C4—42no—
1739C4⋊C4—42no—
1740C4⋊C4—42no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—41no—
1745C4⋊C4—41no—
1746C4⋊C4—41no—
1747C4⋊C4—42no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C22⋊C4—24no—
1755C22⋊C4—24no—
1756C22⋊C4—24no—
1757C22⋊C4—24no—
1758C22⋊C4—24no—
1759C22⋊C4—24no—
1760C22⋊C4—24no—
1761C22⋊C4—24no—
1762C22⋊C4—24no—
1763C22⋊C4—24no—
1764C22⋊C4—24no—
1765C22⋊C4—24no—
1766C22⋊C4—24no—
1767C22⋊C4—24no—
1768C22⋊C4—24no—
1769C22⋊C4—42no—
1770C22⋊C4—42no—
1771C22⋊C4—42no—
1772C22⋊C4—42no—
1773C22⋊C4—42no—
1774C22⋊C4—42no—
1775C22⋊C4—42no—
1776C22⋊C4—42no—
1777C22⋊C4—42no—
1778C22⋊C4—42no—
1779C22⋊C4—42no—
1780C22⋊C4—42no—
1781C22⋊C4—42no—
1782C22⋊C4—42no—
1783C22⋊C4—42no—
1784C22⋊C4—42no—
1785C22⋊C4—42no—
1786C22⋊C4—42no—
1787C22⋊C4—42no—
1788C22⋊C4—42no—
1789C22⋊C4—42no—
1790C22⋊C4—42no—
1791C22⋊C4—42no—
1792C22⋊C4—42no—
1793C22⋊C4—42no—
1794C22⋊C4—42no—
1795C22⋊C4—42no—
1796C22⋊C4—42no—
1797C22⋊C4—42no—
1798C22⋊C4—42no—
1799C22⋊C4—42no—
1800C22⋊C4—42no—
1801C22⋊C4—42no—
1802C22⋊C4—42no—
1803C22⋊C4—42no—
1804C22⋊C4—42no—
1805C22⋊C4—42no—
1806C22⋊C4—42no—
1807C22⋊C4—42no—
1808C42—22no—
1809C42—22no—
1810C42—24no—
1811C42—24no—
1812C42—24no—
1813C42—41no—
1814C42—41no—
1815C42—42no—
1816C42—42no—
1817C42—42no—
1818C42—42no—
1819C42—42no—
1820C42—42no—
1821C42—42no—
1822C42—42no—
1823C42—42no—
1824C42—42no—
1825C42—42no—
1826C42—42no—
1827C42—42no—
1828C42—42no—
1829C42—42no—
1830C42—42no—
1831C42—42no—
1832C42—42no—
1833C42—42no—
1834C23—22no—
1835C23—21no—
1836C23—21no—
1837C23—22no—
1838C23—21no—
1839C23—22no—
1840C23—22no—
1841C23—22no—
1842C23—21no—
1843C23—21no—
1844C23—22no—
1845C23—21no—
1846C23—22no—
1847C23—22no—
1848C23—22no—
1849C23—22no—
1850C23—22no—
1851C23—22no—
1852C23—22no—
1853C23C2×2−1+414yes—
1854C23#58512yes—
1855C23C2611yescharacteristic
1856Q8—44no—
1857Q8—84no—
1858Q8—84no—
1859Q8—161no—
1860Q8—162no—
1861Q8—161no—
1862Q8—161no—
1863D4—44no—
1864D4—48no—
1865D4—82no—
1866D4—84no—
1867D4—84no—
1868D4—84no—
1869C2×C4—21no—
1870C2×C4—22no—
1871C2×C4—21no—
1872C2×C4—22no—
1873C2×C4—21no—
1874C2×C4—21no—
1875C2×C4—21no—
1876C2×C4—21no—
1877C2×C4—21no—
1878C2×C4—22no—
1879C2×C4—22no—
1880C2×C4—22no—
1881C2×C4—22no—
1882C2×C4—22no—
1883C2×C4—21no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—21no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—22no—
1904C2×C4—22no—
1905C2×C4—22no—
1906C2×C4—22no—
1907C2×C4—22no—
1908C2×C4—22no—
1909C2×C4—22no—
1910C2×C4—22no—
1911C2×C4—22no—
1912C2×C4—21no—
1913C2×C4—21no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—22no—
1926C2×C4—22no—
1927C2×C4—22no—
1928C2×C4—21no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—22no—
1935C2×C4—22no—
1936C2×C4—22no—
1937C2×C4—22no—
1938C2×C4—22no—
1939C2×C4—22no—
1940C2×C4—22no—
1941C2×C4—22no—
1942C2×C4—21no—
1943C2×C4—22no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—22no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—21no—
1957C2×C4—22no—
1958C2×C4—21no—
1959C2×C4—22no—
1960C2×C4—22no—
1961C2×C4—21no—
1962C2×C4—48no—
1963C2×C4—44no—
1964C2×C4—82no—
1965C2×C4—84no—
1966C2×C4—82no—
1967C2×C4—84no—
1968C2×C4—82no—
1969C2×C4—82no—
1970C2×C4—84no—
1971C2×C4—162no—
1972C2×C4—161no—
1973C2×C4—162no—
1974C2×C4—162no—
1975C2×C4—161no—
1976C2×C4—162no—
1977C2×C4—162no—
1978C2×C4—162no—
1979C2×C4C2×H(5,𝔽2)14yes—
1980C2×C4C2×H(5,𝔽2)12yes—
1981C2×C4C2×2−1+412yes—
1982C22—24no—
1983C22—22no—
1984C22—24no—
1985C22—22no—
1986C22—22no—
1987C22—24no—
1988C22—41no—
1989C22—42no—
1990C22—41no—
1991C22—42no—
1992C22—41no—
1993C22—42no—
1994C22—41no—
1995C22—42no—
1996C22—42no—
1997C22—42no—
1998C22—42no—
1999C22—42no—
2000C22—42no—
2001C22—42no—
2002C22—42no—
2003C22C22×H(5,𝔽2)11yescharacteristic
2004C22C22×2−1+411yescharacteristic
2005C22C2×#58511yescharacteristic
2006C22H(7,𝔽2)11yescharacteristic
2007C222−1+611yescharacteristic
2008C222−1+611yescharacteristic
2009C222−1+611yescharacteristic
2010C4—22no—
2011C4—24no—
2012C4—22no—
2013C4—42no—
2014C4—42no—
2015C4—42no—
2016C4—42no—
2017C4—42no—
2018C4—41no—
2019C4—42no—
2020C4—42no—
2021C4—42no—
2022C4—42no—
2023C4—42no—
2024C4—42no—
2025C4—42no—
2026C4—42no—
2027C4—42no—
2028C4—42no—
2029C4—41no—
2030C4—42no—
2031C4—42no—
2032C4—42no—
2033C4—41no—
2034C4—41no—
2035C4—42no—
2036C4—42no—
2037C4—42no—
2038C4—42no—
2039C4—42no—
2040C4—42no—
2041C4—42no—
2042C2—44no—
2043C2—42no—
2044C2—82no—
2045C2#6286611yescharacteristic
2046C2#6287311yescharacteristic
2047C2#6289311yescharacteristic
2048C2#6291911yescharacteristic
2049C2#6294811yescharacteristic
2050C2#6297811yescharacteristic
2051C2#6306711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#39126C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #58894C2semidirect
2. #58009C2semidirect
3. #57819C2semidirect
4. #57434C2semidirect
5. #57226C2semidirect
6. #56961C2semidirect
7. #56745C2semidirect
8. #56321C2semidirect
9. #55890C2semidirect
10. #55658C2semidirect
11. #54994C2semidirect
12. #53417C2semidirect
13. #53196C2semidirect
14. #52452C2semidirect
15. #52014C2semidirect
16. #51872C2semidirect
17. #51787C2semidirect
18. #49128C2semidirect
19. #48183C2semidirect
20. #47799C2semidirect
21. #47116C2semidirect
22. #46132C2semidirect
23. #44449C2semidirect
24. #43790C2semidirect
25. #43408C2semidirect
26. #42850C2semidirect
27. #42261C2semidirect
28. #41905C2semidirect
29. #41492C2semidirect
30. #41201C2semidirect
31. #39670C2semidirect
33. #37755C2semidirect
34. #37166C2semidirect
35. #36762C2semidirect

Maximal subgroups

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

subgroupindex
#588942
#580092
#578192
#574342
#572262
#569612
#567452
#563212
#558902
#556582
#549942
#534172
#531962
#524522
#520142
#518722
#517872
#491282
#481832
#477992
#471162
#461322
#444492
#437902
#434082
#428502
#422612
#419052
#414922
#412012
#396702
#391262
#377552
#371662
#367622