Finite Group Databasebeta

← #8926472

Subgroups — #8926472

Order 512.

4236 conjugacy classes of subgroups.

The subgroup lattice has 2044 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58983C212yesmaximal, complemented
2#58957C212yesmaximal, complemented
3#58423C212yesmaximal, complemented
4#58419C212yesmaximal, complemented
5#58385C212yesmaximal, complemented
6#58287C212yesmaximal, complemented
7#58057C212yesmaximal, complemented
8#58040C212yesmaximal, complemented
9#57642C212yesmaximal, complemented
10#57619C212yesmaximal, complemented
11#56710C212yesmaximal, complemented
12#56691C212yesmaximal, complemented
13#47807C211yesmaximal, characteristic
14#47802C211yesmaximal, characteristic, complemented
15#47791C211yesmaximal, characteristic, complemented
16#47785C211yesmaximal, characteristic, complemented
17#47752C212yesmaximal, complemented
18#47746C212yesmaximal, complemented
19#47732C212yesmaximal, complemented
20#47726C212yesmaximal, complemented
21#47009C212yesmaximal, complemented
22#46383C212yesmaximal, complemented
23#46363C212yesmaximal, complemented
24#37400C212yesmaximal, complemented
25#37352C212yesmaximal, complemented
26#37314C212yesmaximal, complemented
27#37258C211yesmaximal, characteristic, complemented
28#37233C211yesmaximal, characteristic, complemented
29#37196C212yesmaximal, complemented
30#37131C212yesmaximal, complemented
31#37029C212yesmaximal, complemented
32#36838C212yesmaximal, complemented
33#36837C212yesmaximal, complemented
34#35576C211yesmaximal, characteristic, complemented
35#35509C212yesmaximal, complemented
36C2×#544C2211yescharacteristic
37C2×#539C2211yescharacteristic
38C2×#539C2212yes—
39C2×#536C2211yescharacteristic
40C22×C4⋊Q8C2211yescharacteristic
41#2863C2212yes—
42#2862C2212yes—
43#2860C2212yes—
44#2859C2212yes—
45#2853C2212yes—
46#2853C2212yes—
47#2844C2211yescharacteristic
48#2843C2212yes—
49#2843C2211yescharacteristic
50#2839C2212yes—
51#2838C2212yes—
52#2838C2212yes—
53#2838C2212yes—
54#2834C2212yes—
55#2833C2212yes—
56#2831C2212yes—
57#2830C2212yes—
58#2827C2212yes—
59#2823C2211yescharacteristic
60#2819C2211yescharacteristic
61#2817C2212yes—
62#2814C2212yes—
63#2814C2212yes—
64#2809C2212yes—
65#2806C2212yes—
66#2806C2212yes—
67#2806C2212yes—
68#2806C2212yes—
69#2806C2212yes—
70#2803C2212yes—
71#2802C2212yes—
72#2802C2212yes—
73#2802C2212yes—
74#2801C2212yes—
75#2798C2212yes—
76#2795C2211yescharacteristic
77#2793C2212yes—
78#2792C2212yes—
79#2792C2212yes—
80#2792C2211yescharacteristic
81#2791C2212yes—
82#2791C2212yes—
83#2791C2212yes—
84#2790C2212yes—
85#2790C2212yes—
86#2789C2211yescharacteristic
87#2788C2212yes—
88#2788C2212yes—
89#2788C2212yes—
90#2788C2212yes—
91#2787C2212yes—
92#2784C2212yes—
93#2783C2212yes—
94#2782C2211yescharacteristic
95#2781C2212yes—
96#2779C2212yes—
97#2777C2212yes—
98#2777C2212yes—
99#2777C2212yes—
100#2776C2212yes—
101#2776C2212yes—
102#2775C2212yes—
103#2775C2212yes—
104#2775C2212yes—
105#2775C2212yes—
106#2774C2212yes—
107#2774C2212yes—
108#2774C2212yes—
109#2772C2212yes—
110#2772C2212yes—
111#2772C2212yes—
112#2769C2211yescharacteristic
113#2769C2211yescharacteristic
114#2768C2212yes—
115#2768C2212yes—
116#2766C2212yes—
117#2765C2212yes—
118#2765C2212yes—
119#2765C2212yes—
120#2765C2212yes—
121#2765C2212yes—
122#2765C2212yes—
123#2764C2212yes—
124#2764C2212yes—
125#2764C2212yes—
126#2763C2212yes—
127#2763C2212yes—
128#2763C2212yes—
129#2762C2212yes—
130#2761C2212yes—
131#2761C2212yes—
132#2759C2212yes—
133#2759C2212yes—
134#2759C2212yes—
135#2759C2212yes—
136#2757C2212yes—
137#2757C2212yes—
138#2757C2212yes—
139#2756C2212yes—
140#2755C2212yes—
141#2755C2212yes—
142#2755C2212yes—
143#2751C2212yes—
144#2751C2212yes—
145#2751C2212yes—
146#2750C2212yes—
147#2738C2212yes—
148#2734C2212yes—
149#2734C2212yes—
150#2731C2212yes—
151#2731C2212yes—
152#2729C2212yes—
153#2729C2212yes—
154#2729C2212yes—
155#2729C2212yes—
156#2729C2212yes—
157#2729C2212yes—
158#2729C2212yes—
159#2729C2212yes—
160#2729C2212yes—
161#2726C2212yes—
162#2726C2212yes—
163#2726C2212yes—
164#2725C2212yes—
165#2724C2212yes—
166#2724C2212yes—
167#2720C2212yes—
168#2718C2212yes—
169#2718C2212yes—
170#2718C2212yes—
171#2717C2212yes—
172#2716C2212yes—
173#2716C2212yes—
174#2716C2212yes—
175#2715C2212yes—
176#2713C2212yes—
177#2713C2212yes—
178#2713C2212yes—
179#2713C2212yes—
180#2713C2212yes—
181#2712C2212yes—
182#2710C2212yes—
183#2708C2212yes—
184#2707C2212yes—
185#2706C2212yes—
186#2706C2212yes—
187#2706C2212yes—
188#2704C2212yes—
189#2704C2212yes—
190#2704C2212yes—
191#2701C2212yes—
192#2701C2212yes—
193#2698C2212yes—
194#2698C2212yes—
195#2698C2212yes—
196#2690C2212yes—
197#2689C2212yes—
198#2687C2212yes—
199#2687C2212yes—
200#2683C2212yes—
201#2682C2212yes—
202#2681C2212yes—
203#2680C2212yes—
204#2680C2212yes—
205#2680C2212yes—
206#2680C2211yescharacteristic
207#2680C2211yescharacteristic
208#2677C2212yes—
209#2677C2212yes—
210#2677C2212yes—
211#2677C2212yes—
212#2674C2212yes—
213#2674C2212yes—
214#2674C2212yes—
215#2674C2212yes—
216#2666C2212yes—
217#2666C2212yes—
218#2664C2212yes—
219#2664C2212yes—
220#2660C2212yes—
221#2655C2212yes—
222#2654C2212yes—
223#2654C2212yes—
224#2653C2212yes—
225#2651C2212yes—
226#2649C2212yes—
227#2647C2212yes—
228#2645C2212yes—
229#2640C2212yes—
230#2625C2212yes—
231#2623C2212yes—
232#2621C2212yes—
233#2614C2212yes—
234#2612C2212yes—
235#2612C2211yescharacteristic
236#2610C2212yes—
237#2610C2212yes—
238#2609C2211yescharacteristic
239#2609C2212yes—
240#2606C2212yes—
241#2606C2212yes—
242#2606C2212yes—
243#2606C2212yes—
244#2606C2212yes—
245#2602C2212yes—
246#2602C2212yes—
247#2602C2212yes—
248#2601C2212yes—
249#2601C2212yes—
250#2601C2212yes—
251#2599C2212yes—
252#2599C2212yes—
253#2594C2212yes—
254#2594C2212yes—
255#2594C2212yes—
256#2592C2212yes—
257#2591C2211yescharacteristic
258#2590C2212yes—
259#2589C2212yes—
260#2588C2212yes—
261#2587C2212yes—
262#2587C2212yes—
263#2587C2212yes—
264#2586C2212yes—
265#2583C2212yes—
266#2583C2212yes—
267#2583C2212yes—
268#2583C2212yes—
269#2583C2211yescharacteristic
270#2582C2211yescharacteristic
271#2581C2212yes—
272#2579C2212yes—
273#2577C2212yes—
274#2577C2212yes—
275#2575C2212yes—
276#2571C2211yescharacteristic
277#2570C2212yes—
278#2567C2212yes—
279#2558C2212yes—
280#2558C2212yes—
281#2557C2212yes—
282#2557C2212yes—
283#2551C2212yes—
284#2551C2212yes—
285#2551C2212yes—
286#2551C2212yes—
287#2550C2212yes—
288#2550C2212yes—
289#2550C2212yes—
290#2550C2212yes—
291#2550C2212yes—
292#2550C2212yes—
293#2545C2212yes—
294#2532C2212yes—
295#2532C2212yes—
296#2530C2212yes—
297#2529C2212yes—
298#2529C2212yes—
299#2527C2212yes—
300#2527C2212yes—
301#2526C2212yes—
302#2518C2212yes—
303#2515C2212yes—
304#2514C2212yes—
305#2506C2212yes—
306#2492C2212yes—
307#2484C2211yescharacteristic
308#2484C2211yescharacteristic
309#2478C2212yes—
310#2478C2212yes—
311#2476C2212yes—
312#2475C2212yes—
313#2474C2212yes—
314#2473C2212yes—
315#2470C2212yes—
316#2470C2212yes—
317#2470C2212yes—
318#2470C2212yes—
319#2470C2212yes—
320#2465C2212yes—
321#2461C2212yes—
322#2460C2212yes—
323#2458C2212yes—
324#2452C2212yes—
325#2452C2212yes—
326#2451C2212yes—
327#2449C2212yes—
328#2449C2212yes—
329#2449C2212yes—
330#2447C2212yes—
331#2446C2212yes—
332#2446C2212yes—
333#2442C2212yes—
334#2440C2212yes—
335#2440C2212yes—
336#2440C2212yes—
337#2439C2212yes—
338#2439C2212yes—
339#2439C2212yes—
340#2436C2211yescharacteristic
341#2434C2212yes—
342#2434C2212yes—
343#2434C2211yescharacteristic
344#2429C2212yes—
345#2429C2212yes—
346#2429C2212yes—
347#2415C2212yes—
348#2415C2212yes—
349#2413C2212yes—
350#2413C2212yes—
351#2413C2212yes—
352#2409C2212yes—
353#2407C2212yes—
354#2406C2212yes—
355#2406C2211yescharacteristic
356#2406C2211yescharacteristic
357#2337C2212yes—
358#2337C2212yes—
359#2335C2212yes—
360#2334C2212yes—
361#2334C2212yes—
362#2334C2212yes—
363#2326C2212yes—
364#2323C2212yes—
365#2320C2212yes—
366#2320C2212yes—
367#2317C2212yes—
368#2317C2211yescharacteristic
369#2317C2211yescharacteristic
370#2314C2212yes—
371#2313C2211yescharacteristic
372#2310C2211yescharacteristic
373#2298C2212yes—
374#2296C2211yescharacteristic
375#2296C2211yescharacteristic
376#2295C2212yes—
377#2293C2212yes—
378#2274C2211yescharacteristic
379C22×#41C2311yescharacteristic
380C23×Q8C2311yescharacteristic
381C23×Q8C2311yescharacteristic
382#544—44no—
383#539—44no—
384#539—48no—
385#536—44no—
386C2×C4⋊Q8—44no—
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2312yes—
389C2×C4⋊Q8C2312yes—
390C2×C4⋊Q8C2312yes—
391C2×C4⋊Q8C2312yes—
392C2×C4⋊Q8C2312yes—
393C2×C4⋊Q8C2312yes—
394C2×C4⋊Q8C2312yes—
395C2×C4⋊Q8C2312yes—
396C2×C4⋊Q8C2312yes—
397C2×C4⋊Q8C2312yes—
398C2×C4⋊Q8C2312yes—
399C2×C4⋊Q8C2312yes—
400C2×#126C2312yes—
401C2×#126C2312yes—
402C2×#126C2312yes—
403C2×#126C2312yes—
404C2×#125C2312yes—
405C2×#125C2312yes—
406C2×#125C2312yes—
407C2×#125C2312yes—
408C2×#125C2312yes—
409C2×#125C2312yes—
410C2×#124C2312yes—
411C2×#124C2312yes—
412C2×#124C2312yes—
413C2×#124C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×#123C2312yes—
419C2×#123C2312yes—
420C2×#123C2312yes—
421C2×#123C2312yes—
422C2×#123C2312yes—
423C2×#123C2312yes—
424C2×#123C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2311yescharacteristic
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2312yes—
440C2×#121C2311yescharacteristic
441C2×#121C2312yes—
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×#117C2312yes—
449C2×#117C2311yescharacteristic
450C2×#117C2311yescharacteristic
451C2×#117C2311yescharacteristic
452C2×#117C2311yescharacteristic
453C2×#117C2311yescharacteristic
454C2×#117C2312yes—
455C2×#117C2312yes—
456C2×#117C2312yes—
457C22×C4⋊C4C2311yescharacteristic
458C22×C4⋊C4C2311yescharacteristic
459C22×C4⋊C4C2311yescharacteristic
460C22×C4⋊C4C2311yescharacteristic
461C22×C4⋊C4C2312yes—
462C22×C4⋊C4C2312yes—
463C22×C42C2311yescharacteristic
464#401C2312yes—
465#401C2312yes—
466#401C2312yes—
467#401C2312yes—
468#401C2312yes—
469#400C2312yes—
470#400C2312yes—
471#400C2312yes—
472#400C2312yes—
473#400C2312yes—
474#400C2312yes—
475#400C2311yescharacteristic
476#400C2312yes—
477#400C2311yescharacteristic
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#400C2311yescharacteristic
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2311yescharacteristic
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#399C2312yes—
508#399C2312yes—
509#399C2312yes—
510#399C2312yes—
511#399C2312yes—
512#399C2312yes—
513#398C2312yes—
514#398C2311yescharacteristic
515#398C2312yes—
516#398C2312yes—
517#398C2312yes—
518#398C2312yes—
519#398C2312yes—
520#398C2312yes—
521#398C2312yes—
522#398C2312yes—
523#398C2312yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2311yescharacteristic
534#398C2312yes—
535#398C2311yescharacteristic
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2311yescharacteristic
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#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#397C2312yes—
586#397C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#397C2312yes—
592#397C2312yes—
593#397C2312yes—
594#397C2312yes—
595#397C2312yes—
596#397C2312yes—
597#397C2312yes—
598#397C2312yes—
599#397C2312yes—
600#397C2312yes—
601#397C2312yes—
602#397C2312yes—
603#397C2312yes—
604#397C2312yes—
605#397C2312yes—
606#397C2312yes—
607#397C2312yes—
608#397C2312yes—
609#397C2312yes—
610#397C2312yes—
611#396C2312yes—
612#396C2312yes—
613#396C2312yes—
614#396C2312yes—
615#396C2312yes—
616#396C2312yes—
617#396C2312yes—
618#396C2312yes—
619#396C2312yes—
620#396C2312yes—
621#396C2312yes—
622#396C2312yes—
623#396C2312yes—
624#396C2312yes—
625#396C2312yes—
626#396C2312yes—
627#396C2312yes—
628#396C2312yes—
629#396C2312yes—
630#396C2312yes—
631#396C2312yes—
632#396C2312yes—
633#396C2312yes—
634#396C2312yes—
635#396C2312yes—
636#396C2312yes—
637#396C2312yes—
638#395C2312yes—
639#395C2312yes—
640#395C2312yes—
641#395C2312yes—
642#395C2312yes—
643#395C2312yes—
644#395C2312yes—
645#395C2312yes—
646#395C2312yes—
647#395C2312yes—
648#395C2312yes—
649#395C2312yes—
650#395C2312yes—
651#395C2312yes—
652#395C2312yes—
653#395C2311yescharacteristic
654#395C2311yescharacteristic
655#395C2312yes—
656#395C2312yes—
657#395C2312yes—
658#395C2312yes—
659#395C2312yes—
660#395C2312yes—
661#395C2312yes—
662#395C2311yescharacteristic
663#395C2312yes—
664#395C2311yescharacteristic
665#395C2312yes—
666#395C2312yes—
667#395C2312yes—
668#395C2312yes—
669#395C2312yes—
670#395C2312yes—
671#395C2312yes—
672#394C2311yescharacteristic
673#394C2311yescharacteristic
674#394C2312yes—
675#394C2311yescharacteristic
676#394C2312yes—
677#394C2312yes—
678#394C2312yes—
679#394C2312yes—
680#394C2312yes—
681#394C2312yes—
682#394C2312yes—
683#394C2312yes—
684#394C2312yes—
685#394C2311yescharacteristic
686#394C2312yes—
687#394C2312yes—
688#394C2312yes—
689#394C2312yes—
690#394C2312yes—
691#394C2312yes—
692#393C2312yes—
693#393C2312yes—
694#393C2312yes—
695#393C2312yes—
696#393C2312yes—
697#393C2312yes—
698#393C2312yes—
699#393C2312yes—
700#393C2312yes—
701#393C2312yes—
702#393C2312yes—
703#393C2312yes—
704#393C2312yes—
705#393C2312yes—
706#393C2312yes—
707#393C2312yes—
708#393C2312yes—
709#392C2312yes—
710#392C2312yes—
711#392C2312yes—
712#391C2312yes—
713#391C2312yes—
714#391C2312yes—
715#391C2312yes—
716#391C2312yes—
717#391C2312yes—
718#391C2312yes—
719#391C2312yes—
720#391C2312yes—
721#391C2312yes—
722#391C2312yes—
723#391C2312yes—
724#391C2312yes—
725#391C2312yes—
726#391C2312yes—
727#391C2312yes—
728#391C2312yes—
729#391C2312yes—
730#391C2312yes—
731#391C2312yes—
732#391C2312yes—
733#391C2312yes—
734#391C2312yes—
735#391C2312yes—
736#391C2312yes—
737#391C2312yes—
738#391C2312yes—
739#391C2312yes—
740#391C2312yes—
741#391C2312yes—
742#391C2312yes—
743#391C2312yes—
744#391C2312yes—
745#391C2312yes—
746#390C2312yes—
747#390C2312yes—
748#390C2312yes—
749#390C2312yes—
750#390C2312yes—
751#390C2312yes—
752#390C2312yes—
753#390C2312yes—
754#390C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2312yes—
759#389C2312yes—
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
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#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2312yes—
787#389C2312yes—
788#389C2312yes—
789#389C2312yes—
790#389C2312yes—
791#389C2312yes—
792#389C2312yes—
793#389C2312yes—
794#389C2312yes—
795#389C2312yes—
796#389C2312yes—
797#389C2312yes—
798#389C2312yes—
799#389C2312yes—
800#389C2312yes—
801#389C2312yes—
802#389C2312yes—
803#389C2312yes—
804#389C2312yes—
805#389C2312yes—
806#389C2312yes—
807#389C2312yes—
808#389C2312yes—
809#389C2312yes—
810#389C2312yes—
811#389C2312yes—
812#389C2312yes—
813#389C2312yes—
814#389C2312yes—
815#389C2312yes—
816#389C2312yes—
817#389C2312yes—
818#389C2312yes—
819#389C2312yes—
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#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
860#388C2312yes—
861#388C2312yes—
862#388C2312yes—
863#388C2312yes—
864#388C2312yes—
865#388C2312yes—
866#388C2312yes—
867#388C2312yes—
868#388C2312yes—
869#388C2312yes—
870#388C2312yes—
871#388C2312yes—
872#388C2312yes—
873#388C2312yes—
874#388C2312yes—
875#388C2312yes—
876#388C2312yes—
877#388C2312yes—
878#388C2312yes—
879#388C2312yes—
880#388C2312yes—
881#388C2312yes—
882#388C2312yes—
883#388C2312yes—
884#388C2312yes—
885#388C2312yes—
886#388C2312yes—
887#388C2312yes—
888#388C2312yes—
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#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
939#387C2312yes—
940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#387C2312yes—
945#387C2312yes—
946#387C2312yes—
947#387C2312yes—
948#387C2312yes—
949#387C2312yes—
950#387C2312yes—
951#387C2312yes—
952#387C2312yes—
953#387C2312yes—
954#387C2312yes—
955#387C2312yes—
956#387C2312yes—
957#387C2312yes—
958#387C2312yes—
959#387C2312yes—
960#387C2312yes—
961#387C2312yes—
962#387C2312yes—
963#387C2312yes—
964#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
968#386C2312yes—
969#386C2312yes—
970#386C2312yes—
971#386C2312yes—
972#386C2312yes—
973#386C2312yes—
974#386C2312yes—
975#386C2312yes—
976#386C2312yes—
977#386C2312yes—
978#386C2312yes—
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#385C2312yes—
1014#385C2312yes—
1015#385C2312yes—
1016#385C2312yes—
1017#385C2312yes—
1018#385C2312yes—
1019#385C2312yes—
1020#385C2312yes—
1021#385C2312yes—
1022#385C2312yes—
1023#385C2312yes—
1024#384C2312yes—
1025#384C2312yes—
1026#384C2311yescharacteristic
1027#384C2312yes—
1028#384C2311yescharacteristic
1029#384C2312yes—
1030#384C2311yescharacteristic
1031#384C2311yescharacteristic
1032#383C2312yes—
1033#383C2312yes—
1034#383C2312yes—
1035#383C2312yes—
1036#383C2312yes—
1037#383C2312yes—
1038#383C2312yes—
1039#383C2312yes—
1040#382C2311yescharacteristic
1041#382C2312yes—
1042#382C2312yes—
1043#382C2312yes—
1044#382C2312yes—
1045#382C2312yes—
1046#382C2311yescharacteristic
1047#382C2312yes—
1048#382C2311yescharacteristic
1049#382C2311yescharacteristic
1050#382C2312yes—
1051#382C2312yes—
1052#382C2312yes—
1053#382C2312yes—
1054#382C2312yes—
1055#381C2312yes—
1056#381C2312yes—
1057#381C2311yescharacteristic
1058#381C2311yescharacteristic
1059#381C2312yes—
1060#381C2312yes—
1061#381C2312yes—
1062#381C2312yes—
1063#380C2312yes—
1064#380C2312yes—
1065#380C2312yes—
1066#380C2312yes—
1067#380C2312yes—
1068#380C2312yes—
1069#380C2312yes—
1070#380C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2312yes—
1086C4×C4⋊C4C2312yes—
1087C4×C22⋊C4C2311yescharacteristic
1088C4×C22⋊C4C2311yescharacteristic
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097C4×C22⋊C4C2312yes—
1098#376C2312yes—
1099#376C2312yes—
1100#376C2312yes—
1101#376C2312yes—
1102C43C2312yes—
1103C2×#41—42no—
1104C2×#41—82no—
1105C22×Q8—24no—
1106C22×Q8—42no—
1107C22×Q8—82no—
1108C22×Q8—82no—
1109C22×Q8C2412yes—
1110C22×Q8C2412yes—
1111C22×Q8C2412yes—
1112C22×Q8C2412yes—
1113C22×Q8C2412yes—
1114C22×Q8C2411yescharacteristic
1115C22×Q8C2412yes—
1116C22×Q8C2411yescharacteristic
1117C22×Q8C2412yes—
1118C22×Q8C2412yes—
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2412yes—
1123C22×D4C2411yescharacteristic
1124C22×D4C2411yescharacteristic
1125C23×C4C2411yescharacteristic
1126C23×C4C2411yescharacteristic
1127C23×C4C2411yescharacteristic
1128C23×C4C2411yescharacteristic
1129C23×C4C2411yescharacteristic
1130C23×C4C2412yes—
1131C23×C4C2412yes—
1132C23×C4C2411yescharacteristic
1133C23×C4C2412yes—
1134C23×C4C2412yes—
1135C23×C4C2412yes—
1136C23×C4C2412yes—
1137C23×C4C2411yescharacteristic
1138C4⋊Q8—44no—
1139C4⋊Q8—44no—
1140C4⋊Q8—44no—
1141C4⋊Q8—44no—
1142C4⋊Q8—44no—
1143C4⋊Q8—44no—
1144C4⋊Q8—44no—
1145C4⋊Q8—82no—
1146C4⋊Q8—82no—
1147C4⋊Q8—82no—
1148C4⋊Q8—82no—
1149C4⋊Q8—82no—
1150C4⋊Q8—82no—
1151#126—28no—
1152#126—44no—
1153#126—44no—
1154#126—44no—
1155#125—44no—
1156#125—44no—
1157#125—44no—
1158#125—44no—
1159#125—44no—
1160#125—82no—
1161#124—28no—
1162#124—44no—
1163#124—82no—
1164#124—82no—
1165#123—28no—
1166#123—44no—
1167#123—44no—
1168#123—44no—
1169#123—44no—
1170#123—44no—
1171#123—44no—
1172#123—82no—
1173#123—82no—
1174#123—82no—
1175#123—82no—
1176C22⋊Q8—28no—
1177C22⋊Q8—42no—
1178C22⋊Q8—44no—
1179C22⋊Q8—44no—
1180C22⋊Q8—44no—
1181C22⋊Q8—44no—
1182C22⋊Q8—44no—
1183C22⋊Q8—44no—
1184C22⋊Q8—82no—
1185C22⋊Q8—82no—
1186C22⋊Q8—82no—
1187C22⋊Q8—82no—
1188C22⋊Q8—82no—
1189C22⋊Q8—82no—
1190C22⋊Q8—82no—
1191#121—44no—
1192#121—42no—
1193C4×Q8—28no—
1194C4×Q8—82no—
1195C4×Q8—82no—
1196C4×D4—28no—
1197C4×D4—44no—
1198C4×D4—82no—
1199#117—24no—
1200#117—28no—
1201#117—24no—
1202#117—42no—
1203#117—42no—
1204#117—42no—
1205#117—82no—
1206#117—82no—
1207#117—82no—
1208C2×C4⋊C4—24no—
1209C2×C4⋊C4—24no—
1210C2×C4⋊C4—44no—
1211C2×C4⋊C4—42no—
1212C2×C4⋊C4—42no—
1213C2×C4⋊C4—82no—
1214C2×C4⋊C4C2412yes—
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2412yes—
1218C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1239C2×C4⋊C4C2411yescharacteristic
1240C2×C4⋊C4C2411yescharacteristic
1241C2×C4⋊C4C2411yescharacteristic
1242C2×C4⋊C4C2411yescharacteristic
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2411yescharacteristic
1247C2×C4⋊C4C2411yescharacteristic
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2411yescharacteristic
1251C2×C4⋊C4C2411yescharacteristic
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2411yescharacteristic
1254C2×C4⋊C4C2411yescharacteristic
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2411yescharacteristic
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2411yescharacteristic
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊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×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C42—42no—
1379C2×C42C2412yes—
1380C2×C42C2411yescharacteristic
1381C2×C42C2411yescharacteristic
1382C2×C42C2412yes—
1383C2×C42C2412yes—
1384C2×C42C2412yes—
1385C2×C42C2412yes—
1386C2×C42C2412yes—
1387C2×C42C2412yes—
1388C2×C42C2412yes—
1389C2×C42C2412yes—
1390C2×C42C2412yes—
1391C2×C42C2412yes—
1392C2×C42C2412yes—
1393C2×C42C2412yes—
1394C2×C42C2412yes—
1395C2×C42C2412yes—
1396C2×C42C2412yes—
1397C2×C42C2412yes—
1398C2×C42C2412yes—
1399C2×C42C2412yes—
1400C2×C42C2412yes—
1401C2×C42C2412yes—
1402C2×C42C2412yes—
1403C2×C42C2412yes—
1404C2×C42C2412yes—
1405C2×C42C2412yes—
1406C2×C42C2412yes—
1407C2×C42C2411yescharacteristic
1408C2×C42C2411yescharacteristic
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#95C2411yescharacteristic
1432#95C2412yes—
1433#95C2412yes—
1434#95C2412yes—
1435#95C2412yes—
1436#95C2412yes—
1437#95C2412yes—
1438#95C2412yes—
1439#95C2412yes—
1440#95C2412yes—
1441#95C2411yescharacteristic
1442#95C2412yes—
1443#95C2412yes—
1444#95C2412yes—
1445#95C2411yescharacteristic
1446#95C2411yescharacteristic
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#95C2411yescharacteristic
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2411yescharacteristic
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2411yescharacteristic
1496#95C2411yescharacteristic
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—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529C24C2512yes—
1530C24C2512yes—
1531C24C2511yescharacteristic
1532#41—88no—
1533C2×Q8—24no—
1534C2×Q8—24no—
1535C2×Q8—24no—
1536C2×Q8—24no—
1537C2×Q8—24no—
1538C2×Q8—42no—
1539C2×Q8—42no—
1540C2×Q8—42no—
1541C2×Q8—42no—
1542C2×Q8—42no—
1543C2×Q8—42no—
1544C2×Q8—42no—
1545C2×Q8—42no—
1546C2×Q8—42no—
1547C2×Q8—42no—
1548C2×Q8—41no—
1549C2×Q8—42no—
1550C2×Q8—42no—
1551C2×Q8—42no—
1552C2×Q8—42no—
1553C2×Q8—42no—
1554C2×Q8—42no—
1555C2×Q8—42no—
1556C2×Q8—41no—
1557C2×Q8—42no—
1558C2×Q8—42no—
1559C2×Q8—42no—
1560C2×Q8—42no—
1561C2×Q8—88no—
1562C2×Q8—88no—
1563C2×D4—24no—
1564C2×D4—24no—
1565C2×D4—24no—
1566C2×D4—42no—
1567C2×D4—42no—
1568C2×D4—42no—
1569C2×D4—42no—
1570C2×D4—42no—
1571C2×D4—41no—
1572C2×D4—42no—
1573C2×D4—42no—
1574C2×D4—42no—
1575C2×D4—42no—
1576C2×D4—42no—
1577C2×D4—41no—
1578C2×D4—42no—
1579C22×C4—22no—
1580C22×C4—22no—
1581C22×C4—22no—
1582C22×C4—22no—
1583C22×C4—22no—
1584C22×C4—22no—
1585C22×C4—22no—
1586C22×C4—22no—
1587C22×C4—24no—
1588C22×C4—24no—
1589C22×C4—42no—
1590C22×C4—42no—
1591C22×C4—42no—
1592C22×C4—42no—
1593C22×C4—42no—
1594C22×C4—42no—
1595C22×C4—42no—
1596C22×C4—42no—
1597C22×C4—42no—
1598C22×C4—42no—
1599C22×C4—42no—
1600C22×C4—42no—
1601C22×C4—42no—
1602C22×C4—42no—
1603C22×C4—42no—
1604C22×C4—42no—
1605C22×C4—42no—
1606C22×C4—42no—
1607C22×C4—42no—
1608C22×C4—42no—
1609C22×C4—42no—
1610C22×C4—42no—
1611C22×C4H(5,𝔽2)14yes—
1612C22×C4C2512yes—
1613C22×C4C2512yes—
1614C22×C4C2512yes—
1615C22×C4C2512yes—
1616C22×C4C2512yes—
1617C22×C4C2512yes—
1618C22×C4C2512yes—
1619C22×C4C2512yes—
1620C22×C4C2512yes—
1621C22×C4C2512yes—
1622C22×C4C2512yes—
1623C22×C4C2512yes—
1624C22×C4C2512yes—
1625C22×C4C2512yes—
1626C22×C4C2512yes—
1627C22×C4C2512yes—
1628C22×C4C2512yes—
1629C22×C4C2512yes—
1630C22×C4C2511yescharacteristic
1631C22×C4C2511yescharacteristic
1632C22×C4C2511yescharacteristic
1633C22×C4C2512yes—
1634C22×C4C2511yescharacteristic
1635C22×C4C2512yes—
1636C22×C4C2512yes—
1637C22×C4C2512yes—
1638C22×C4C2512yes—
1639C22×C4C2512yes—
1640C22×C4C2512yes—
1641C22×C4C2511yescharacteristic
1642C22×C4C2511yescharacteristic
1643C22×C4C2512yes—
1644C4⋊C4—24no—
1645C4⋊C4—24no—
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—24no—
1655C4⋊C4—24no—
1656C4⋊C4—24no—
1657C4⋊C4—24no—
1658C4⋊C4—24no—
1659C4⋊C4—24no—
1660C4⋊C4—24no—
1661C4⋊C4—24no—
1662C4⋊C4—24no—
1663C4⋊C4—24no—
1664C4⋊C4—42no—
1665C4⋊C4—42no—
1666C4⋊C4—41no—
1667C4⋊C4—41no—
1668C4⋊C4—41no—
1669C4⋊C4—41no—
1670C4⋊C4—42no—
1671C4⋊C4—42no—
1672C4⋊C4—42no—
1673C4⋊C4—42no—
1674C4⋊C4—42no—
1675C4⋊C4—42no—
1676C4⋊C4—42no—
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—42no—
1692C4⋊C4—42no—
1693C4⋊C4—42no—
1694C4⋊C4—41no—
1695C4⋊C4—41no—
1696C4⋊C4—41no—
1697C4⋊C4—41no—
1698C4⋊C4—41no—
1699C4⋊C4—41no—
1700C4⋊C4—42no—
1701C4⋊C4—42no—
1702C4⋊C4—42no—
1703C4⋊C4—42no—
1704C4⋊C4—42no—
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—41no—
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—42no—
1723C4⋊C4—42no—
1724C4⋊C4—41no—
1725C4⋊C4—42no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
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—42no—
1745C4⋊C4—42no—
1746C4⋊C4—42no—
1747C4⋊C4—42no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C22⋊C4—24no—
1751C22⋊C4—24no—
1752C22⋊C4—24no—
1753C22⋊C4—24no—
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—42no—
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—24no—
1809C42—24no—
1810C42—22no—
1811C42—22no—
1812C42—24no—
1813C42—24no—
1814C42—42no—
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—
1834C42—42no—
1835C42—42no—
1836C422−1+414yes—
1837C422−1+414yes—
1838C23—21no—
1839C23—21no—
1840C23—22no—
1841C23—22no—
1842C23—22no—
1843C23—22no—
1844C23—22no—
1845C23—22no—
1846C23—22no—
1847C23—22no—
1848C23—22no—
1849C23—22no—
1850C23—22no—
1851C23—22no—
1852C23—22no—
1853C23—22no—
1854C23—22no—
1855C23—22no—
1856C23C2×H(5,𝔽2)12yes—
1857C23C2611yescharacteristic
1858Q8—84no—
1859Q8—84no—
1860Q8—84no—
1861Q8—84no—
1862Q8—84no—
1863Q8—84no—
1864Q8—84no—
1865Q8—82no—
1866Q8—161no—
1867Q8—162no—
1868D4—84no—
1869D4—84no—
1870D4—84no—
1871D4—84no—
1872D4—82no—
1873D4—161no—
1874C2×C4—28no—
1875C2×C4—21no—
1876C2×C4—21no—
1877C2×C4—21no—
1878C2×C4—21no—
1879C2×C4—22no—
1880C2×C4—22no—
1881C2×C4—22no—
1882C2×C4—22no—
1883C2×C4—22no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—21no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—21no—
1898C2×C4—21no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—21no—
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—22no—
1913C2×C4—22no—
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—22no—
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—22no—
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—22no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—22no—
1961C2×C4—22no—
1962C2×C4—44no—
1963C2×C4—48no—
1964C2×C4—44no—
1965C2×C4—44no—
1966C2×C4—44no—
1967C2×C4—84no—
1968C2×C4—82no—
1969C2×C4—82no—
1970C2×C4—84no—
1971C2×C4—84no—
1972C2×C4—162no—
1973C2×C4—162no—
1974C2×C4C2×H(5,𝔽2)14yes—
1975C2×C4C2×2−1+414yes—
1976C2×C4C2×2−1+412yes—
1977C2×C4C2×2−1+412yes—
1978C2×C4C2×2−1+414yes—
1979C22—22no—
1980C22—22no—
1981C22—22no—
1982C22—42no—
1983C22—42no—
1984C22—42no—
1985C22—42no—
1986C22—42no—
1987C22—42no—
1988C22—42no—
1989C22—42no—
1990C22—42no—
1991C22—42no—
1992C22—42no—
1993C22—42no—
1994C22—42no—
1995C22—42no—
1996C22—42no—
1997C22—42no—
1998C22C22×H(5,𝔽2)11yescharacteristic
1999C22C22×2−1+411yescharacteristic
2000C22C22×2−1+411yescharacteristic
2001C22H(7,𝔽2)12yes—
2002C222−1+612yes—
2003C4—22no—
2004C4—22no—
2005C4—24no—
2006C4—24no—
2007C4—24no—
2008C4—42no—
2009C4—42no—
2010C4—41no—
2011C4—41no—
2012C4—42no—
2013C4—42no—
2014C4—42no—
2015C4—41no—
2016C4—41no—
2017C4—42no—
2018C4—42no—
2019C4—42no—
2020C4—42no—
2021C4—42no—
2022C4—42no—
2023C4—42no—
2024C4—42no—
2025C4—42no—
2026C4—42no—
2027C4—42no—
2028C4—42no—
2029C4—42no—
2030C4—42no—
2031C4—42no—
2032C4—42no—
2033C4—42no—
2034C4—42no—
2035C2—42no—
2036C2—82no—
2037C2—82no—
2038C2#6283311yescharacteristic
2039C2#6286311yescharacteristic
2040C2#6287712yes—
2041C2#6287912yes—
2042C2#6288611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#47807C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #58983C2semidirect
2. #58957C2semidirect
3. #58423C2semidirect
4. #58419C2semidirect
5. #58385C2semidirect
6. #58287C2semidirect
7. #58057C2semidirect
8. #58040C2semidirect
9. #57642C2semidirect
10. #57619C2semidirect
11. #56710C2semidirect
12. #56691C2semidirect
14. #47802C2semidirect
15. #47791C2semidirect
16. #47785C2semidirect
17. #47752C2semidirect
18. #47746C2semidirect
19. #47732C2semidirect
20. #47726C2semidirect
21. #47009C2semidirect
22. #46383C2semidirect
23. #46363C2semidirect
24. #37400C2semidirect
25. #37352C2semidirect
26. #37314C2semidirect
27. #37258C2semidirect
28. #37233C2semidirect
29. #37196C2semidirect
30. #37131C2semidirect
31. #37029C2semidirect
32. #36838C2semidirect
33. #36837C2semidirect
34. #35576C2semidirect
35. #35509C2semidirect

Maximal subgroups

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

subgroupindex
#589832
#589572
#584232
#584192
#583852
#582872
#580572
#580402
#576422
#576192
#567102
#566912
#478072
#478022
#477912
#477852
#477522
#477462
#477322
#477262
#470092
#463832
#463632
#374002
#373522
#373142
#372582
#372332
#371962
#371312
#370292
#368382
#368372
#355762
#355092